Defs

📁 Source: Mathlib/Analysis/Normed/Group/Defs.lean

Statistics

Metric	Count
Definitions toNormedAddCommGroup, toNormedAddGroup, toSeminormedAddCommGroup, toSeminormedAddGroup, ContinuousENorm, toENorm, ENorm, enorm, ENormedAddCommMonoid, toENormedAddMonoid, toESeminormedAddCommMonoid, ENormedAddMonoid, toESeminormedAddMonoid, ENormedCommMonoid, toENormedMonoid, toESeminormedCommMonoid, ENormedMonoid, toESeminormedMonoid, ESeminormedAddCommMonoid, toAddCommMonoid, toESeminormedAddMonoid, ESeminormedAddMonoid, toAddMonoid, toContinuousENorm, ESeminormedCommMonoid, toCommMonoid, toESeminormedMonoid, ESeminormedMonoid, toContinuousENorm, toMonoid, toNormedCommGroup, toNormedGroup, toSeminormedCommGroup, toSeminormedGroup, nnnorm, toENorm, norm, NormedAddCommGroup, ofAddDist, ofAddDist', ofSeparation, toAddCommGroup, toMetricSpace, toNorm, toNormedAddGroup, toSeminormedAddCommGroup, NormedAddGroup, ofAddDist, ofAddDist', ofSeparation, toAddGroup, toMetricSpace, toNorm, toSeminormedAddGroup, NormedCommGroup, ofMulDist, ofMulDist', ofSeparation, toCommGroup, toMetricSpace, toNorm, toNormedGroup, toSeminormedCommGroup, NormedGroup, ofMulDist, ofMulDist', ofSeparation, toGroup, toMetricSpace, toNorm, toSeminormedGroup, SeminormedAddCommGroup, ofAddDist, ofAddDist', toAddCommGroup, toNorm, toPseudoMetricSpace, toSeminormedAddGroup, SeminormedAddGroup, ofAddDist, ofAddDist', toAddGroup, toNorm, toPseudoMetricSpace, SeminormedCommGroup, ofMulDist, ofMulDist', toCommGroup, toNorm, toPseudoMetricSpace, toSeminormedGroup, SeminormedGroup, ofMulDist, ofMulDist', toGroup, toNorm, toPseudoMetricSpace, «term‖_‖», «term‖_‖₊», «term‖_‖ₑ»	100
Theorems continuous_enorm, enorm_eq_zero, enorm_eq_zero, enorm_eq_zero, enorm_eq_zero, add_comm, enorm_add_le, enorm_zero, mul_comm, enorm_mul_le, enorm_zero, dist_eq, dist_eq, dist_eq, dist_eq, dist_eq, dist_eq, dist_eq, dist_eq, coe_le_enorm, coe_lt_enorm, enorm_eq_nnnorm, enorm_le_coe, enorm_lt_coe, enorm_lt_top, enorm_ne_top, toNNReal_enorm	27
Total	127

AddGroupNorm

Definitions

Name	Category	Theorems
toNormedAddCommGroup 📖	CompOp	—
toNormedAddGroup 📖	CompOp	—

AddGroupSeminorm

Definitions

Name	Category	Theorems
toSeminormedAddCommGroup 📖	CompOp	2 math math: SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInf, SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf
toSeminormedAddGroup 📖	CompOp	1 math math: Seminorm.uniformSpace_eq_of_hasBasis

ContinuousENorm

Definitions

Name	Category	Theorems
toENorm 📖	CompOp	540 math math: MeasureTheory.HasFiniteIntegral.of_subsingleton, MeasureTheory.Integrable.measure_norm_gt_lt_top_enorm, ContinuousAt.enorm, MeasureTheory.eLpNorm'_norm, MeasureTheory.eLpNormEssSup_const_smul_le, HasStrictFDerivAt.isLittleOTVS, TensorProduct.enorm_lid, MeasureTheory.eLpNorm'_sum_le, ProbabilityTheory.IsGaussian.memLp_id, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, ProbabilityTheory.IdentDistrib.memLp_iff, MeasureTheory.eLpNorm_condExp_le, Inseparable.enorm_eq_enorm', MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, MeasureTheory.lintegral_enorm_add_right, MeasureTheory.eLpNormEssSup_const_smul, MeasureTheory.Integrable.measure_enorm_ge_lt_top, MeasureTheory.ae_tendsto_enorm, MeasureTheory.unifTight_iff_real, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, MeasureTheory.eLpNorm_eq_zero_of_ae_zero, MeasureTheory.eLpNorm'_const', MeasureTheory.memLp_top_of_bound, egauge_prod_mk, MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, MeasureTheory.eLpNorm_mono_nnnorm_ae, Asymptotics.isLittleOTVS_one, MeasureTheory.Lp.edist_def, MeasureTheory.eLpNorm'_zero', setOf_riemmanianEDist_lt_subset_nhds, ContinuousLinearMap.comp_memLp, MeasureTheory.AEStronglyMeasurable.memLp_truncation, LipschitzWith.memLp_lineDeriv, eventually_enorm_mfderivWithin_symm_extChartAt_lt, exists_enorm_lt', TensorProduct.enorm_comm, WithLp.enorm_snd_le, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, Int.enorm_natCast, MeasureTheory.L1.ofReal_norm_eq_lintegral, AntitoneOn.memLp_isCompact, exists_enorm_lt, MeasureTheory.Lp.dist_def, MeasureTheory.eLpNorm_const_lt_top_iff_enorm, enorm_add₃_le, MeasureTheory.Integrable.add', MeasureTheory.hasFiniteIntegral_iff_ofNNReal, MeasureTheory.le_eLpNorm_of_bddBelow, MeasureTheory.Lp.memLp, MeasureTheory.Lp.nnnorm_def, egauge_ball_le_of_one_lt_norm, hasStrictFDerivAt_iff_isLittleOTVS, MeasureTheory.lintegral_enorm_neg, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, MeasureTheory.Lp.eLpNorm_exponent_top_lim_le_liminf_eLpNorm_exponent_top, lintegral_fderiv_lineMap_eq_edist, MeasureTheory.HasFiniteIntegral.restrict_of_bounded, MeasureTheory.memLp_indicator_const, MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le, LipschitzWith.memLp_comp_iff_of_antilipschitz, MeasureTheory.hasFiniteIntegral_prod_iff', MeasureTheory.eLpNorm_of_isEmpty, egauge_add_add_le, enorm_indicator_le_of_subset, Asymptotics.isLittleOTVS_prodMk_left, MeasureTheory.eLpNorm_smul_measure_of_ne_top', enorm_prod_le, ContinuousLinearMap.ebound, MeasureTheory.eLpNorm_top_piecewise, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_top, HasFDerivAtFilter.isBigOTVS_sub, MeasureTheory.eLpNorm_le_of_ae_nnnorm_bound, MeasureTheory.MemLp.zero, MeasureTheory.eLpNormEssSup_zero, MeasureTheory.eLpNorm_mono_real, MeasureTheory.mul_meas_ge_le_pow_eLpNorm', ProbabilityTheory.evariance_lt_top_iff_memLp, ProbabilityTheory.IdentDistrib.eLpNorm_eq, IntervalIntegrable.enorm, egauge_univ, MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, MeasureTheory.eLpNorm_sub_le, ENormedAddMonoid.enorm_eq_zero, MeasureTheory.SimpleFunc.memLp_zero, AEMeasurable.enorm, enorm_fderiv_norm_rpow_le, MeasureTheory.UniformIntegrable.memLp_of_tendstoInMeasure, enorm_eq_zero', MeasureTheory.memLp_two_iff_integrable_sq_norm, egauge_zero_zero, MeasureTheory.integrable_norm_rpow_iff, SchwartzMap.eLpNorm_lt_top, MeasureTheory.hasFiniteIntegral_zero, MeasureTheory.UniformIntegrable.memLp_of_ae_tendsto, MeasureTheory.integral_norm_eq_lintegral_enorm, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, MeasureTheory.eLpNormEssSup_mono_measure, SchwartzMap.memLp, MeasureTheory.eLpNorm_norm, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, HasFDerivAtFilter.isThetaTVS_sub, LinearMap.isBigOTVS_rev_comp, MeasureTheory.uniformIntegrable_iff, MeasureTheory.SimpleFunc.memLp_iff_integrable, MeasureTheory.eLpNorm'_mono_nnnorm_ae, egauge_univ_pi, MeasureTheory.nndist_integral_add_measure_le_lintegral, indicator_enorm_le_enorm_self, ProbabilityTheory.IsGaussian.memLp_two_id, MeasureTheory.memLp_const_iff, MeasureTheory.eLpNorm'_trim, MeasureTheory.L1.norm_def, MeasureTheory.eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul, MeasureTheory.memLp_measure_zero, MeasureTheory.eLpNorm_mono_ae, MeasureTheory.eLpNorm_ofReal, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, Filter.HasBasis.isLittleOTVS_iff, LinearIsometry.enorm_map, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, MeasureTheory.memLp_haarAddCircle_iff, MeasureTheory.eLpNorm_restrict_eq_of_support_subset, HasFDerivAt.isBigOTVS_sub, MeasureTheory.eLpNorm'_measure_zero_of_pos, MeasureTheory.StronglyMeasurable.enorm, ESeminormedAddMonoid.enorm_add_le, MeasureTheory.eLpNorm_eq_zero_iff, MeasurableEmbedding.memLp_map_measure_iff, ESeminormedMonoid.enorm_zero, Filter.Tendsto.enorm, Asymptotics.IsLittleOTVS.zero, Asymptotics.isLittleOTVS_fun_neg_left, MeasureTheory.MemLp.of_discrete, Asymptotics.isBigOTVS_iff_smallSets, eventually_riemmanianEDist_lt, MonotoneOn.memLp_of_measure_ne_top, MeasureTheory.eLpNorm'_congr_norm_ae, MeasureTheory.HasFiniteIntegral.of_finite, Asymptotics.isBigOTVS_fun_neg_left, Asymptotics.isBigOTVS_fun_neg_right, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, MeasureTheory.eLpNorm_zero, HasCompactSupport.memLp_of_bound, MeasureTheory.eLpNorm_one_le_of_le', egauge_le_one, Asymptotics.isBigOTVS_iff_isBigO, enorm_indicator_le_enorm_self, MeasureTheory.SimpleFunc.memLp_iff_finMeasSupp, MeasureTheory.eLpNorm_one_smul_measure, HasFPowerSeriesOnBall.compContinuousLinearMap, MeasureTheory.eLpNorm_le_eLpNorm_top_mul_eLpNorm, MeasureTheory.enorm_indicatorConstLp_le, le_egauge_smul_left, MeasureTheory.memLp_two_iff_integrable_sq, MeasureTheory.enorm_integral_le_lintegral_enorm, PiLp.enorm_apply_le, MeasureTheory.VectorMeasure.isSigmaSubadditiveSetFun_enorm, Asymptotics.IsLittleO.isLittleOTVS, MeasureTheory.hasFiniteIntegral_iff_edist, DifferentiableAt.isBigOTVS_sub, continuous_enorm, AntitoneOn.memLp_top, MeasureTheory.eLpNorm'_neg, BoundedContinuousFunction.memLp_top, enorm_mul₃_le', MeasureTheory.memLp_prod_iff, egauge_pi, Asymptotics.isBigOTVS_congr, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, MeasureTheory.Integrable.exists_boundedContinuous_lintegral_sub_le, Asymptotics.isBigOTVS_neg_right, Real.one_div_sub_hasFPowerSeriesOnBall_zero, MeasureTheory.eLpNorm'_le_eLpNormEssSup, MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimage, MeasureTheory.toReal_eLpNorm, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, MeasureTheory.eLpNorm_sub_comm, MeasureTheory.SimpleFunc.memLp_iff, MeasureTheory.UniformIntegrable.spec', MeasureTheory.eLpNorm'_smul_measure, MeasureTheory.eLpNorm'_le_eLpNorm'_mul_rpow_measure_univ, MeasureTheory.eLpNorm_smul_measure_of_ne_top, MeasureTheory.memLp_const_iff_enorm, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.eLpNorm_star, MeasureTheory.eLpNorm_zero', ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, MeasureTheory.HasFiniteIntegral.of_bounded, ProbabilityTheory.memLp_id_gaussianReal', MeasureTheory.memLp_congr_norm, MeasureTheory.L1.SimpleFunc.toLp_one_eq_toL1, Asymptotics.isLittleOTVS_fun_neg_right, MeasureTheory.eLpNorm_le_add_measure_left, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, MeasureTheory.eLpNorm_le_mul_eLpNorm_of_ae_le_mul, MeasureTheory.integrable_enorm_iff, ProbabilityTheory.hasFiniteIntegral_compProd_iff', SchwartzMap.norm_toLp, MeasureTheory.hasFiniteIntegral_neg_iff, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, MeasureTheory.hasFiniteIntegral_const, MeasureTheory.eLpNorm'_mono_measure, MeasureTheory.eLpNorm_le_add_measure_right, MeasureTheory.Lp.eLpNorm_lim_le_liminf_eLpNorm, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', MeasureTheory.eLpNormEssSup_piecewise, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, SemilinearMapClass.ebound_of_continuous, MeasureTheory.eLpNorm'_mono_ae, MeasureTheory.eLpNorm'_zero, MeasureTheory.eLpNorm_trim, InnerProductSpace.enorm_rankOne, MeasureTheory.eLpNormEssSup_le_nnreal_smul_eLpNormEssSup_of_ae_le_mul, MeasureTheory.hasFiniteIntegral_const_iff_isFiniteMeasure, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, Asymptotics.isLittleOTVS_iff_smallSets, MeasureTheory.eLpNormEssSup_mono_nnnorm_ae, MeasureTheory.eLpNormEssSup_le_of_ae_bound, Continuous.memLp_of_hasCompactSupport, HasCompactSupport.enorm_le_lintegral_Ici_deriv, Asymptotics.isLittleOTVS_iff_tendsto_div, Asymptotics.isBigOTVS_neg_left, MeasurableEquiv.memLp_map_measure_iff, MeasureTheory.Integrable.enorm_toL1, MeasureTheory.SimpleFunc.memLp_top, MeasureTheory.eLpNorm_trim_ae, DifferentiableWithinAt.isBigOTVS_sub, continuous_enorm, TensorProduct.enorm_tmul, enorm_add₄_le, MeasureTheory.eLpNorm_indicator_eq_eLpNorm_restrict, MeasureTheory.eLpNorm'_eq_zero_of_ae_zero, MeasureTheory.eLpNorm_const_smul_le', MeasureTheory.eLpNorm_indicator_const_le, MeasureTheory.IntegrableAtFilter.enorm, MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.eLpNorm_sub_le', MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, MeasureTheory.IsAddFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.integrable_enorm_rpow_iff, MeasureTheory.eLpNorm'_congr_nnnorm_ae, ProbabilityTheory.IsGaussian.memLp_dual, Asymptotics.isLittleOTVS_map, MeasureTheory.eLpNormEssSup_trim, MeasureTheory.eLpNorm'_le_eLpNorm'_of_exponent_le, enorm_pos, Asymptotics.isLittleOTVS_iff_isLittleO, MeasureTheory.Lp.eLpNorm'_lim_eq_lintegral_liminf, MeasureTheory.eLpNormEssSup_map_measure, MeasureTheory.hasFiniteIntegral_iff_ofReal, ProbabilityTheory.evariance_def', MeasureTheory.eLpNorm_indicator_le_of_bound, MeasureTheory.eLpNorm_neg, le_egauge_smul_right, MeasureTheory.Lp.simpleFunc.memLp, ESeminormedAddMonoid.enorm_zero, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, ProbabilityTheory.hasFiniteIntegral_comp_iff', MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, MeasureTheory.memLp_top_const_enorm, MeasureTheory.L2.eLpNorm_inner_lt_top, AntitoneOn.memLp_of_measure_ne_top, MeasureTheory.Lp.mem_Lp_iff_memLp, MeasurableEmbedding.eLpNorm_map_measure, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.eLpNorm_indicator_sub_indicator, MeasureTheory.unifTight_iff_ennreal, ProbabilityTheory.hasFiniteIntegral_comp_iff, egauge_ball_one_le_of_one_lt_norm, Asymptotics.isBigOTVS_pi, MeasureTheory.eLpNorm_congr_nnnorm_ae, MeasureTheory.HasFiniteIntegral.of_mem_Icc, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, SchwartzMap.eLpNorm_le_seminorm, hasFDerivAtFilter_iff_isLittleOTVS, MeasureTheory.eLpNorm_const_smul_le, Measurable.enorm, MeasureTheory.eLpNorm'_le_eLpNorm'_mul_eLpNorm', MeasureTheory.HasFiniteIntegral.of_isEmpty, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, egauge_le_of_smul_mem, MeasureTheory.memLp_pi_iff, ContinuousLinearMap.opENorm_comp_le, Asymptotics.IsTheta.isThetaTVS, MeasureTheory.memLp_indicator_iff_restrict, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, MeasureTheory.memLp_piLp_iff, MeasureTheory.eLpNorm'_const_smul, Asymptotics.isLittleOTVS_neg_right, MeasureTheory.eLpNormEssSup_add_le, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, OrthonormalBasis.enorm_eq_one, MeasureTheory.memLp_const_enorm, MeasureTheory.tendstoInMeasure_iff_measureReal_enorm, StrongDual.norm_toLpₗ_le, MeasureTheory.eLpNorm_lt_top_of_finite, MeasureTheory.tendsto_eLpNorm_condExp, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, enorm_mul₄_le', MeasureTheory.MemLp.zero', enorm_zero, MeasureTheory.eLpNorm_mono_ae_real, MeasureTheory.eLpNorm_congr_norm_ae, MeasureTheory.memLp_add_of_disjoint, MeasureTheory.HasFiniteIntegral.of_subsingleton_codomain, MeasureTheory.eLpNorm'_eq_zero_of_ae_zero', Asymptotics.Filter.Tendsto.isBigOTVS_one, ProbabilityTheory.memLp_id_gaussianReal, MeasureTheory.memLp_norm_rpow_iff, Asymptotics.isLittleOTVS_fun_comm, Asymptotics.isLittleOTVS_comm, MeasureTheory.eLpNorm_const_smul, MeasureTheory.eLpNorm_norm_rpow, Asymptotics.IsBigOTVS.rfl, MeasureTheory.exists_Lp_half, Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, MeasureTheory.eLpNorm'_le_eLpNormEssSup_mul_rpow_measure_univ, Complex.conjCLE_enorm, Continuous.memLp_top_of_hasCompactSupport, Asymptotics.isBigOTVS_fun_comm, Real.enorm_exp_I_mul_ofReal_sub_one_le, MeasureTheory.eLpNorm_indicator_le, MeasureTheory.MemLp.of_bound, LinearIsometry.enorm_toContinuousLinearMap, setOf_riemannianEDist_lt_subset_nhds, eventually_riemannianEDist_le_edist_extChartAt, MeasureTheory.eLpNorm'_add_le_of_le_one, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, MeasureTheory.eLpNorm_one_le_of_le, MeasureTheory.SimpleFunc.eLpNorm'_eq, MeasureTheory.memLp_enorm_iff, MeasureTheory.eLpNorm'_measure_zero_of_neg, TensorProduct.enorm_assoc, MeasureTheory.hasFiniteIntegral_toReal_iff, measurable_enorm, MeasureTheory.eLpNorm_mono, MeasureTheory.integrable_const_iff_enorm, ENormedMonoid.enorm_eq_zero, Inseparable.enorm_eq_enorm, MeasureTheory.SimpleFunc.memLp_of_isFiniteMeasure, MeasureTheory.Integrable.enorm, MeasureTheory.UniformIntegrable.memLp, egauge_eq_zero_iff, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm, HasStrictFDerivAt.isBigOTVS_sub, MeasureTheory.hasFiniteIntegral_const_iff, ProbabilityTheory.memLp_tilted_mul, ContinuousLinearMap.isThetaTVS_comp, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.memLp_prodLp_iff, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, enorm_tsum_le_tsum_enorm, MeasureTheory.IsFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.eLpNormEssSup_indicator_eq_eLpNormEssSup_restrict, TensorProduct.enorm_map, Real.enorm_rpow_of_nonneg, SchwartzMap.memLp_top, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.UnifTight.exists_measurableSet_indicator, HasFDerivAtFilter.isLittleOTVS, MeasureTheory.Lp.eLpNorm_lt_top, MeasureTheory.hasFiniteIntegral_prod_iff, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.lintegral_enorm_eq_lintegral_edist, MeasureTheory.eLpNorm_indicator_const', Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, enorm_one', MeasureTheory.eLpNorm'_eq_zero_iff, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, FormalMultilinearSeries.radius_compContinuousLinearMap_le, MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnder, MeasureTheory.eLpNorm'_const_smul_le, MeasureTheory.AEStronglyMeasurable.enorm, MeasureTheory.lintegral_enorm_add_left, ESeminormedMonoid.enorm_mul_le, enorm_sum_le, UniformSpace.Completion.enorm_coe, MeasureTheory.UniformIntegrable.spec, Asymptotics.isThetaTVS_comm, MeasureTheory.pow_mul_meas_ge_le_eLpNorm, ProbabilityTheory.HasSubgaussianMGF.memLp, MeasureTheory.eLpNormEssSup_lt_top_of_ae_bound, MeasureTheory.eLpNorm_add_le, ProbabilityTheory.Kernel.eLpNorm_density_le, HasFDerivWithinAt.isBigOTVS_sub, div_le_egauge_ball, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, enorm_pos', MeasureTheory.Lp.eLpNorm_exponent_top_lim_eq_essSup_liminf, MeasureTheory.Lp.enorm_def, MeasureTheory.eLpNorm_le_eLpNorm_mul_rpow_measure_univ, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', setOf_riemmanianEDist_lt_subset_nhds', ProbabilityTheory.hasFiniteIntegral_compProd_iff, ENormedAddCommMonoid.enorm_eq_zero, MeasureTheory.eLpNorm_indicator_const₀, Complex.imCLM_enorm, RCLike.enorm_conj, ContinuousOn.enorm, MeasureTheory.eLpNorm'_add_le, MeasureTheory.eLpNorm_eq_zero_and_zero_of_ae_le_mul_neg, Complex.ofRealCLM_enorm, MeasureTheory.eLpNormEssSup_indicator_const_le, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.memLp_neg_iff, MeasureTheory.tendstoInMeasure_iff_enorm, MeasureTheory.eLpNormEssSup_lt_top_of_ae_nnnorm_bound, le_egauge_ball_one, MonotoneOn.memLp_isCompact, ContinuousLinearMap.isBigOTVS_fun_comp, MeasureTheory.LocallyIntegrableOn.enorm, MeasureTheory.memLp_enorm_rpow_iff, MeasureTheory.eLpNorm'_const_smul_le', enorm_add_le, enorm_multisetSum_le, MeasureTheory.eLpNorm_const_lt_top_iff, div_le_egauge_closedBall, MeasureTheory.eLpNorm'_measure_zero_of_exponent_zero, MonotoneOn.memLp_top, Asymptotics.isBigOTVS_map, MeasureTheory.eLpNormEssSup_indicator_le, MeasureTheory.eLpNorm_mono_measure, enorm_mul_le', MeasureTheory.eLpNorm_map_measure, ProbabilityTheory.IsGaussian.memLp_two_fun_id, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, Orthonormal.enorm_eq_one, MeasureTheory.L1.norm_sub_eq_lintegral, MeasureTheory.eLpNorm_add_le', MeasureTheory.eLpNormEssSup_eq_zero_iff, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, MeasureTheory.L1.hasFiniteIntegral_coeFn, MeasureTheory.hasFiniteIntegral_congr', ContinuousLinearMap.le_opENorm, MeasureTheory.eLpNorm_condExpL2_le, MeasureTheory.eLpNorm_le_eLpNorm_of_exponent_le, MeasureTheory.eLpNorm_sub_le_of_dist_bdd, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, MeasureTheory.exists_eLpNorm_indicator_le, MeasureTheory.memLp_of_bounded, MeasureTheory.hasFiniteIntegral_iff_norm, MeasureTheory.eLpNorm_smul_measure_of_ne_zero, MeasurableEmbedding.eLpNormEssSup_map_measure, IsRiemannianManifold.out, MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving, Asymptotics.isBigOTVS_prodMk_left, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm, egauge_smul_right, MeasureTheory.memLp_norm_iff, MeasureTheory.eLpNorm_aeeqFun, MeasureTheory.memLp_one_iff_integrable, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, ProbabilityTheory.HasGaussianLaw.memLp, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, ContinuousMap.enorm_eq_iSup_enorm, MeasureTheory.eLpNorm_smul_measure_of_ne_zero', MeasureTheory.AEEqFun.eLpNorm_star, Complex.reCLM_enorm, MeasureTheory.hasFiniteIntegral_smul_iff, Asymptotics.isLittleOTVS_insert, BoundedContinuousFunction.enorm_eq_iSup_enorm, MeasureTheory.eLpNorm'_norm_rpow, Continuous.enorm, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, MeasureTheory.mul_meas_ge_le_pow_eLpNorm, MeasureTheory.lintegral_enorm_zero, Filter.Tendsto.enorm', Asymptotics.IsBigOTVS.refl, MeasureTheory.eLpNorm_comp_measurePreserving, IntervalIntegrable.intervalIntegrable_enorm_iff, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, MeasureTheory.eLpNormEssSup_indicator_const_eq, ContinuousLinearMap.isBigOTVS_id, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div_of_integrable, enorm_multisetProd_le, MeasureTheory.eLpNorm_restrict_le, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrable, Asymptotics.IsBigO.isBigOTVS, Asymptotics.isLittleOTVS_neg_left, MeasureTheory.eLpNorm_sum_le, WithLp.enorm_fst_le, Asymptotics.isLittleOTVS_sup, MeasureTheory.memLp_trim_of_mem_lpMeasSubgroup, egauge_zero_right, Asymptotics.isThetaTVS_iff_isTheta, MeasureTheory.eLpNorm_mono_nnnorm, MeasureTheory.eLpNorm_conj, MeasureTheory.eLpNormEssSup_le_of_ae_nnnorm_bound, le_egauge_closedBall_one, ProbabilityTheory.HasGaussianLaw.memLp_two, Asymptotics.isBigOTVS_comm, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, ENormedCommMonoid.enorm_eq_zero, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, enorm_indicator_eq_indicator_enorm, MeasureTheory.memLp_re_im_iff, MeasureTheory.eLpNorm_le_nnreal_smul_eLpNorm_of_ae_le_mul, Asymptotics.isLittleOTVS_pi, MeasureTheory.Integrable.hasFiniteIntegral, Asymptotics.IsThetaTVS.rfl, setOf_riemannianEDist_lt_subset_nhds', ContinuousLinearMap.le_opNorm_enorm, MeasureTheory.eLpNorm_le_of_ae_bound, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, enorm_eq_zero, egauge_le_of_smul_mem_of_ne, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, egauge_pi', MeasureTheory.memLp_map_measure_iff, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', eventually_riemannianEDist_lt, MeasureTheory.eLpNorm_indicator_const, MeasureTheory.hasFiniteIntegral_count_iff, MeasureTheory.eLpNormEssSup_const_smul_le', MeasureTheory.memLp_top_const, MeasureTheory.Lp.eLpNorm'_lim_le_liminf_eLpNorm', MeasureTheory.pdf.hasFiniteIntegral_mul, Asymptotics.IsThetaTVS.refl, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, TensorProduct.edist_tmul_le, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, ContinuousWithinAt.enorm, MeasureTheory.Lp.norm_def, MeasureTheory.eLpNorm_nsmul, MeasureTheory.memLp_const, egauge_smul_left, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
continuous_enorm 📖	mathematical	—	Continuous ENNReal ENNReal.instTopologicalSpace ENorm.enorm toENorm	—	—

ENorm

Definitions

Name	Category	Theorems
enorm 📖	CompOp	295 math math: MeasureTheory.Integrable.measure_norm_gt_lt_top_enorm, MeasureTheory.hasFiniteIntegral_count_iff_enorm, ContinuousAt.enorm, edist_eq_enorm_sub, MeasureTheory.eLpNormEssSup_const_smul_le, TensorProduct.enorm_lid, enorm_smul, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, MeasureTheory.lintegral_rpow_enorm_lt_top_of_eLpNorm'_lt_top, Inseparable.enorm_eq_enorm', MeasureTheory.lintegral_enorm_add_right, MeasureTheory.eLpNormEssSup_const_smul, MeasureTheory.Integrable.measure_enorm_ge_lt_top, MeasureTheory.ae_tendsto_enorm, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, enorm_mul, MeasureTheory.eLpNorm'_const', enorm'_eq_iff_norm_eq, enorm_sub_le, eventually_enorm_mfderivWithin_symm_extChartAt_lt, exists_enorm_lt', TensorProduct.enorm_comm, WithLp.enorm_snd_le, Int.enorm_natCast, MeasureTheory.L1.ofReal_norm_eq_lintegral, exists_enorm_lt, MeasureTheory.eLpNorm_const_lt_top_iff_enorm, enorm_add₃_le, egauge_ball_le_of_one_lt_norm, MeasureTheory.lintegral_enorm_neg, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, lintegral_fderiv_lineMap_eq_edist, edist_zero_eq_enorm, enorm_norm', MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le, enorm_indicator_le_of_subset, NNReal.enorm_eq, enorm_prod_le, ContinuousLinearMap.ebound, MeasureTheory.mul_meas_ge_le_pow_eLpNorm', MeasureTheory.Lp.enorm_toLp, IntervalIntegrable.enorm, ENormedAddMonoid.enorm_eq_zero, MeasureTheory.enorm_ae_le_eLpNormEssSup, AEMeasurable.enorm, MeasureTheory.meas_eLpNormEssSup_lt, enorm_fderiv_norm_rpow_le, enorm_eq_zero', MeasureTheory.integral_norm_eq_lintegral_enorm, MeasureTheory.MemLp.integrable_enorm_pow', NormedField.exists_one_lt_enorm, ofReal_norm', Real.enorm_natCast, MeasureTheory.nndist_integral_add_measure_le_lintegral, indicator_enorm_le_enorm_self, Manifold.pathELength_def, MeasureTheory.hasFiniteIntegral_def, MeasureTheory.eLpNormEssSup_eq_iSup, MeasureTheory.L1.norm_def, enorm_neg, MeasureTheory.MemLp.enorm, NormedField.exists_lt_enorm, LinearIsometry.enorm_map, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, enorm_sub_rev, toReal_enorm', MeasureTheory.StronglyMeasurable.enorm, ESeminormedAddMonoid.enorm_add_le, ESeminormedMonoid.enorm_zero, Filter.Tendsto.enorm, RingHomIsometric.enorm_map, MeasureTheory.edist_indicatorConstLp_eq_enorm, MeasureTheory.eLpNorm_one_eq_lintegral_enorm, ofReal_norm_eq_enorm', MeasureTheory.MemLp.integrable_enorm_rpow', MeasureTheory.eLpNorm'_enorm, enorm_indicator_le_enorm_self, HasFPowerSeriesOnBall.compContinuousLinearMap, MeasureTheory.enorm_indicatorConstLp_le, le_egauge_smul_left, MeasureTheory.enorm_integral_le_lintegral_enorm, PiLp.enorm_apply_le, MeasureTheory.VectorMeasure.isSigmaSubadditiveSetFun_enorm, ContinuousENorm.continuous_enorm, enorm_mul₃_le', enorm'_le_iff_norm_le, MeasureTheory.lintegral_enorm_of_nonneg, MeasureTheory.Integrable.exists_boundedContinuous_lintegral_sub_le, Real.one_div_sub_hasFPowerSeriesOnBall_zero, toReal_enorm, MeasureTheory.eLpNorm_enorm, MeasureTheory.eLpNormEssSup_const, MeasureTheory.memLp_const_iff_enorm, toNNReal_enorm, enorm_le_iff_norm_le, MeasureTheory.integrable_enorm_iff, MeasureTheory.lintegral_rpow_enorm_eq_rpow_eLpNorm', Pi.enorm_single, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le_of_meas, MeasureTheory.lintegral_ofReal_le_lintegral_enorm, mem_emetric_ball_one_iff, NormedField.exists_enorm_lt, enorm_inv', MeasureTheory.MemLp.integrable_enorm_pow, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, SemilinearMapClass.ebound_of_continuous, edist_one_right, InnerProductSpace.enorm_rankOne, HasCompactSupport.enorm_le_lintegral_Ici_deriv, MeasureTheory.Integrable.enorm_toL1, continuous_enorm, MeasureTheory.ae_bdd_liminf_atTop_rpow_of_eLpNorm_bdd, MeasureTheory.ae_le_eLpNormEssSup, TensorProduct.enorm_tmul, enorm_add₄_le, MeasureTheory.eLpNorm_const_smul_le', Real.ofReal_le_enorm, MeasureTheory.eLpNorm_indicator_const_le, MeasureTheory.IntegrableAtFilter.enorm, NormedField.exists_enorm_lt_one, edist_one_eq_enorm, MeasureTheory.integrable_enorm_rpow_iff, le_egauge_iff, MeasureTheory.eLpNormEssSup_eq_essSup_enorm, MeasureTheory.hasFiniteIntegral_const_iff_enorm, enorm_one, Real.enorm_eq_ofReal_abs, enorm_pos, edist_eq_enorm_div, MeasureTheory.Lp.eLpNorm'_lim_eq_lintegral_liminf, ProbabilityTheory.evariance_def', MeasureTheory.eLpNorm_const', Manifold.riemannianEDist_def, enorm_lt_coe, le_egauge_smul_right, ESeminormedAddMonoid.enorm_zero, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, mem_eball_one_iff, MeasureTheory.MemLp.enorm_rpow, enorm_eq_nnnorm, egauge_ball_one_le_of_one_lt_norm, MeasureTheory.eLpNorm_nnreal_eq_lintegral, Real.enorm_of_nonneg, MeasureTheory.eLpNorm_const_smul_le, Measurable.enorm, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, egauge_le_of_smul_mem, ContinuousLinearMap.opENorm_comp_le, enorm_le_coe, enorm_lt_top, MeasureTheory.eLpNorm'_const_smul, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le, ENormSMulClass.enorm_smul, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, OrthonormalBasis.enorm_eq_one, MeasureTheory.tendstoInMeasure_iff_measureReal_enorm, enorm_mul₄_le', enorm_zero, ofReal_norm_eq_enorm, MeasureTheory.eLpNorm_const_smul, Complex.enorm_exp_I_mul_ofReal, enorm_div_rev, Complex.conjCLE_enorm, Real.enorm_exp_I_mul_ofReal_sub_one_le, enorm_norm, LinearIsometry.enorm_toContinuousLinearMap, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, MeasureTheory.SimpleFunc.eLpNorm'_eq, MeasureTheory.memLp_enorm_iff, TensorProduct.enorm_assoc, measurable_enorm, egauge_le_of_mem_smul, MeasureTheory.integrable_const_iff_enorm, ENormedMonoid.enorm_eq_zero, Inseparable.enorm_eq_enorm, MeasureTheory.Integrable.enorm, enorm_div_le, MeasureTheory.ae_bdd_liminf_atTop_of_eLpNorm_bdd, MeasureTheory.hasFiniteIntegral_enorm_iff, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, MeasureTheory.eLpNormEssSup_count, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, enorm_tsum_le_tsum_enorm, TensorProduct.enorm_map, Real.enorm_rpow_of_nonneg, Manifold.pathELength_eq_lintegral_mfderiv_Icc, edist_zero_right, MeasureTheory.lintegral_enorm_eq_lintegral_edist, MeasureTheory.eLpNorm_eq_lintegral_rpow_enorm_toReal, MeasureTheory.eLpNorm_indicator_const', enorm_one', FormalMultilinearSeries.radius_compContinuousLinearMap_le, MeasureTheory.eLpNorm'_const_smul_le, MeasureTheory.AEStronglyMeasurable.enorm, MeasureTheory.lintegral_enorm_add_left, ESeminormedMonoid.enorm_mul_le, enorm_sum_le, UniformSpace.Completion.enorm_coe, MeasureTheory.pow_mul_meas_ge_le_eLpNorm, MeasureTheory.eLpNorm_const, div_le_egauge_ball, enorm_pos', MeasureTheory.Lp.eLpNorm_exponent_top_lim_eq_essSup_liminf, coe_lt_enorm, MeasureTheory.Lp.enorm_def, enorm_smul_le, ENormedAddCommMonoid.enorm_eq_zero, MeasureTheory.eLpNorm_eq_lintegral_rpow_enorm, MeasureTheory.eLpNorm_indicator_const₀, Complex.imCLM_enorm, RCLike.enorm_conj, enorm_eq_self, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, ContinuousOn.enorm, Real.enorm_abs, Complex.ofRealCLM_enorm, MeasureTheory.eLpNormEssSup_indicator_const_le, mem_emetric_ball_zero_iff, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.tendstoInMeasure_iff_enorm, le_egauge_ball_one, MeasureTheory.lintegral_enorm_of_ae_nonneg, MeasureTheory.LocallyIntegrableOn.enorm, ofReal_norm, MeasureTheory.memLp_enorm_rpow_iff, MeasureTheory.eLpNorm'_const_smul_le', enorm_add_le, enorm_multisetSum_le, div_le_egauge_closedBall, MeasureTheory.lintegral_rpow_enorm_lt_top_of_eLpNorm_lt_top, MeasureTheory.eLpNorm'_eq_lintegral_enorm, enorm_mul_le', FormalMultilinearSeries.enorm_compContinuousLinearMap_le, Orthonormal.enorm_eq_one, MeasureTheory.L1.norm_sub_eq_lintegral, enorm_pow, MeasureTheory.eLpNorm'_const_of_isProbabilityMeasure, ContinuousLinearMap.le_opENorm, Real.enorm_eq_ofReal, MeasureTheory.eLpNorm_enorm_rpow, enorm_eq_iff_norm_eq, MeasureTheory.MemLp.integrable_enorm_rpow, MeasureTheory.MemLp.enorm_rpow_div, MeasureTheory.eLpNorm_nnreal_pow_eq_lintegral, MeasureTheory.SimpleFunc.tendsto_approxOn_L1_enorm, egauge_smul_right, mem_eball_zero_iff, Complex.enorm_exp_ofReal_mul_I, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, ContinuousMap.enorm_eq_iSup_enorm, MeasureTheory.eLpNorm_lt_top_iff_lintegral_rpow_enorm_lt_top, Complex.reCLM_enorm, BoundedContinuousFunction.enorm_eq_iSup_enorm, Continuous.enorm, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, MeasureTheory.mul_meas_ge_le_pow_eLpNorm, MeasureTheory.lintegral_enorm_zero, enorm_enorm, MeasureTheory.eLpNorm'_const, enorm_inv, Filter.Tendsto.enorm', MeasureTheory.HasFiniteIntegral.enorm, IntervalIntegrable.intervalIntegrable_enorm_iff, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, MeasureTheory.eLpNormEssSup_indicator_const_eq, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div_of_integrable, enorm_multisetProd_le, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrable, egauge_lt_iff, WithLp.enorm_fst_le, MeasureTheory.hasFiniteIntegral_iff_enorm, coe_le_enorm, le_egauge_closedBall_one, ENormedCommMonoid.enorm_eq_zero, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, enorm_indicator_eq_indicator_enorm, MeasureTheory.MemLp.meas_ge_lt_top_enorm, ContinuousLinearMap.le_opNorm_enorm, MeasureTheory.eLpNorm'_enorm_rpow, enorm_eq_zero, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Real.enorm_ofReal_of_nonneg, MeasureTheory.eLpNorm_indicator_const, MeasureTheory.eLpNormEssSup_const_smul_le', MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, TensorProduct.edist_tmul_le, ContinuousWithinAt.enorm, egauge_smul_left

ENormedAddCommMonoid

Definitions

Name	Category	Theorems
toENormedAddMonoid 📖	CompOp	10 math math: addInvariantVectorField_smul, VectorField.mlieBracketWithin_const_smul_right, IntervalIntegrable.enorm, VectorField.mpullback_smul_apply, VectorField.mlieBracketWithin_const_smul_left, VectorField.mpullbackWithin_smul_apply, VectorField.mlieBracket_const_smul_left, mulInvariantVectorField_smul, IntervalIntegrable.intervalIntegrable_enorm_iff, VectorField.mlieBracket_const_smul_right
toESeminormedAddCommMonoid 📖	CompOp	5428 math, 1 bridge math: AnalyticWithinAt.const_smul, ArithmeticFunction.vonMangoldt.residueClass_eq, Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_add, mfderiv_sumSwap, MeasureTheory.setIntegral_union, TangentBundle.continuousLinearMapAt_model_space, hasFDerivAt_iff_hasDerivAt, ContinuousLinearEquiv.antilipschitz, MeasureTheory.Measure.integral_comp_inv_smul, VectorBundleCore.toFiberBundleCore_coordChange, ContMDiffAt.coordChangeL, MeasureTheory.predictablePart_add_ae_eq, HurwitzZeta.hasSum_int_hurwitzZetaOdd, InnerProductGeometry.cos_angle_add_of_inner_eq_zero, iteratedDeriv_scomp_two, TensorProduct.mapInclIsometry_apply, ContinuousLinearMap.rayleigh_smul, mfderiv_prod_eq_add, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, ContinuousMap.toLp_inj, HasStrictFDerivAt.log, TemperedDistribution.lineDerivOpCLM_eq, MemHolder.nsmul, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Submodule.starProjection_apply_eq_isComplProjection, Orientation.oangle_sign_smul_add_right, DiffContOnCl.smul, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, Orientation.kahler_map_complex, Trivialization.pullback_linear, HasStrictDerivAt.fun_pow', MeasureTheory.setIntegral_tilted, FormalMultilinearSeries.comp_rightInv_aux1, MeasureTheory.LpToLpRestrictCLM_coeFn, ContinuousLinearMap.hasFPowerSeriesOnBall, MDifferentiable.coordChangeL, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, Complex.cos_eq_tsum, hasStrictFDerivAt_const_add_iff, ModularForm.mul_slash_SL2, ProbabilityTheory.Kernel.integral_fn_integral_add, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, hasStrictFDerivAt_apply, instContMDiffVectorBundleOfNatWithTopENatTangentSpaceOfIsManifold, differentiableWithinAt_finCons', differentiableAt_comp_const_add, fderiv_snd, Bundle.Trivial.continuousLinearEquivAt_trivialization, ContinuousLinearMap.derivWithin_of_bilinear, EuclideanGeometry.dist_smul_vadd_sq, SchwartzMap.lineDerivOpCLM_eq, real_inner_div_norm_mul_norm_eq_neg_one_iff, TensorProduct.enorm_lid, Orientation.oangle_ne_zero_and_ne_pi_iff_linearIndependent, Orientation.oangle_add, MeasureTheory.condExpInd_of_measurable, HasStrictFDerivAt.fun_mul', Matrix.frobenius_nnnorm_mul, TensorProduct.inner_tmul, HasMFDerivAt.mul, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', ModularForm.smul_slash, MeasureTheory.condExpL1_smul, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, LeftInvariantDerivation.lift_zero, ProbabilityTheory.isGaussian_iff_gaussian_charFun, hasSum_geometric_of_norm_lt_one, MDifferentiable.add, ProperCone.innerDual_le_innerDual, RCLike.map_apply, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, OrthonormalBasis.orthogonalProjection_eq_sum, ContinuousLinearMap.analyticWithinAt_bilinear, Complex.restrictScalars_one_smulRight', MeasureTheory.aestronglyMeasurable_condExpInd, HasCompactSupport.convolution_integrand_bound_left, Real.Angle.toReal_add_of_sign_eq_neg_sign, completedZeta_eq_tsum_of_one_lt_re, MeasureTheory.Martingale.smul, HasFPowerSeriesWithinAt.comp_sub, Orientation.oangle_add_swap, ContinuousLinearEquiv.differentiable, hasDerivWithinAt_add_const_iff, IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, ContinuousLinearMap.integral_compLp, FormalMultilinearSeries.comp_partialSum, mellin_eq_fourier, SchwartzMap.instLineDerivLeftSMulReal, tendsto_birkhoffAverage_apply_sub_birkhoffAverage', LinearMap.adjoint_adjoint, CStarRing.norm_unitary_smul, DoubleCentralizer.star_snd, AnalyticOnNhd.smul, MeasureTheory.withDensityᵥ_sub, HasDerivAtFilter.sum, TensorProduct.ext_iff_inner_left, MeasureTheory.Measure.addHaar_image_continuousLinearMap, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, HasFDerivWithinAt.ccos, ContDiffMapSupportedIn.coe_add, differentiableOn_star_iff, InnerProductSpace.toLinearIsometry_toDual, RCLike.ofRealCLM_apply, SchwartzMap.integral_sesq_fourier_fourier, HasMFDerivAt.add, PowerSeries.IsRestricted.smul, Real.dimH_of_mem_nhds, AnalyticOn.exists_hasFTaylorSeriesUpToOn, HasFDerivAt.const_add, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, InnerProductSpace.span_gramSchmidtNormed, QuadraticMap.lineDeriv, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, MeasureTheory.convolution_eq_right', hasStrictFDerivAt_exp_of_mem_ball, EisensteinSeries.hasSum_e2Summand_symmetricIcc, hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, MeasureTheory.eLpNormEssSup_const_smul, RCLike.reCLM_apply, ContinuousMultilinearMap.cpolynomialOn, MeasureTheory.hausdorffMeasure_segment, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, MeasureTheory.UnifTight.add, curveIntegral_smul, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric, Real.fourierCoeff_tsum_comp_add, IntervalIntegrable.smul_continuousOn, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, Orientation.inner_rotation_pi_div_two_right_smul, extDeriv_constOfIsEmpty, Orientation.oangle_add_left_smul_rotation_pi_div_two, CFC.monotoneOn_one_sub_one_add_inv, Bundle.Trivial.symmL_trivialization, derivWithin_smul, NumberField.canonicalEmbedding.mem_span_latticeBasis, Real.fderiv_fourierIntegral, iteratedDeriv_fun_sum, Submodule.orthogonalDecomposition_symm_apply, hasStrictFDerivAt_list_prod_finRange', Asymptotics.IsEquivalent.add_const_of_norm_tendsto_atTop, MeasureTheory.integral_smul_nnreal_measure, DifferentiableOn.fun_add, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, InnerProductSpace.rankOne_one_left_eq_innerSL, PeriodPair.hasSumLocallyUniformly_weierstrassP, Submodule.IsOrtho.starProjection_comp_starProjection, ContDiffBump.normed_sub, NormedSpace.expSeries_summable_of_mem_ball, Complex.circleTransformDeriv_eq, AnalyticOn.domDomCongr_iteratedFDerivWithin, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, iteratedDeriv_fun_add, DiffContOnCl.add_const, LSeries.term_sum, ContinuousLinearMap.continuous_det, HurwitzZeta.hasSum_int_cosKernel₀, HasFiniteFPowerSeriesAt.neg, IsometryEquiv.toRealLinearIsometryEquiv_symm_apply, HasStrictFDerivAt.csin, nnnorm_cfcₙ_nnreal_le_iff, HurwitzZeta.hasSum_int_hurwitzZetaEven, Complex.ofRealCLM_coe, Complex.kahler, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, ClosedSubmodule.toSubmodule_orthogonal_eq, fderivWithin_comp_add_left, MeasureTheory.Measure.integral_comp_mul_right, HasFDerivWithinAt.pow, ContinuousLinearMap.sSup_unit_ball_eq_norm, Complex.areaForm, intervalIntegral.inv_smul_integral_comp_div_add, MeromorphicOn.divisor_fun_smul, finrank_real_complex_fact', MDifferentiableWithinAt.add, MeasureTheory.IntegrableOn.continuousOn_smul, taylorWithinEval_hasDerivAt_Ioo, MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, PeriodPair.coeff_weierstrassPExceptSeries, fderivWithin_fun_smul, ContinuousLinearMap.analyticWithinAt, Complex.hasSum_deriv_of_summable_norm, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, Real.fourierIntegralInv_eq', HasFDerivWithinAt.add, IntervalIntegrable.sum, PositiveLinearMap.apply_le_of_isSelfAdjoint, VectorBundleCore.trivializationAt_symmL, MDifferentiableAt.mfderiv_prod, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, Matrix.posSemidef_iff_eq_conjTranspose_mul_self, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, SlashInvariantForm.slash_action_eq', MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum, LinearMap.IsPositive.ne_zero_iff, SchwartzMap.add_apply, hasFDerivAtFilter_pi, ModularForm.mul_slash, curveIntegrable_segment, hasFDerivAt_multiset_prod, ContDiffOn.smul_const, Real.Angle.sin_add_pi_div_two, intervalIntegral.tsum_intervalIntegral_eq_of_summable_norm, LinearMap.isPositive_adjoint_comp_self, ProbabilityTheory.covarianceBilinDual_apply', Manifold.IsImmersionAt.map_target_subset_target, BoundedContinuousFunction.algebraMap_apply, Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, geom_series_mul_shift, Complex.integral_boundary_rect_eq_zero_of_differentiableOn, hasFTaylorSeriesUpToOn_top_iff_right, MeasureTheory.charFunDual_apply, ContinuousLinearMap.IsPositive.inner_left_eq_inner_right, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, Real.Angle.cos_add, LSeries.term_convolution', conformalAt_iff, HasFPowerSeriesWithinOnBall.hasSum_sub, PeriodPair.derivWeierstrassPExcept_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeries, ProbabilityTheory.hasGaussianLaw_iff_charFunDual_map_eq, continuousOn_tsum, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, ContDiff.iteratedFDeriv_right, NumberField.canonicalEmbedding.latticeBasis_apply, norm_add_eq_iff_real, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, MeasureTheory.norm_condExpL2_le, IsLocalMaxOn.hasFDerivWithinAt_nonpos, contDiffAt_norm_smul_iff, ProbabilityTheory.IsGaussian.integrable_dual, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, norm_iteratedFDerivWithin_smul_le, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, MeasureTheory.weightedSMul_apply, ContinuousMultilinearMap.norm_map_snoc_le, ContinuousLinearMap.comp_condExp_comm, ImplicitFunctionData.isInvertible_fderiv_prodFun, Trivialization.continuousLinearMapAt_apply, hasSum_choose_mul_geometric_of_norm_lt_one, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, MeasureTheory.LocallyIntegrable.integrable_smul_right_of_hasCompactSupport, iteratedFDerivWithin_eventually_congr_set, ApproximatesLinearOn.lipschitz, summableLocallyUniformlyOn_iteratedDerivWithin_cexp, tsum_coe_mul_geometric_of_norm_lt_one', lp.inner_eq_tsum, ContinuousLinearMap.continuous_integral_comp_L1, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, Orientation.tan_oangle_add_left_smul_rotation_pi_div_two, PeriodPair.ω₁_div_two_notMem_lattice, hasDerivWithinAt_taylorWithinEval, OrthonormalBasis.sum_inner_mul_inner, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, norm_iteratedFDerivWithin_one, HasFTaylorSeriesUpTo.cont, ImplicitFunctionData.isCompl_ker, ContinuousLinearMap.hasDerivAtFilter, DoubleCentralizer.intCast_snd, span_fourier_closure_eq_top, Real.fourierIntegral_eq, PeriodPair.basis_one, HasDerivAtFilter.comp_hasFDerivAtFilter, MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one, Finset.analyticAt_fun_sum, DoubleCentralizer.range_toProdMulOpposite, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, Submodule.re_inner_starProjection_eq_normSq, RCLike.conjCLE_norm, ProperCone.innerDual_univ, HasFPowerSeriesOnBall.add, OnePoint.isBoundedAt_iff_exists_SL2Z, differentiableWithinAt_pi'', HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, Differentiable.add_iff_right, MeasureTheory.inner_condExpL2_left_eq_right, MeasureTheory.integral_unique, setIntegral_withDensity_eq_setIntegral_smul₀, Complex.hasSum_taylorSeries_of_entire, ContinuousMap.toLp_denseRange, AnalyticOnNhd.compContinuousLinearMap, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_ae, intervalIntegral.intervalIntegral_eq_integral_uIoc, ZLattice.covolume_eq_det_inv, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, BoxIntegral.HasIntegral.sum, MeasureTheory.Lp.coeFn_add, HasDerivAt.fun_finset_prod, circleIntegrable_iff, LinearMap.polar_eq_iInter, ProbabilityTheory.covarianceBilinDual_apply, Real.Angle.toCircle_add, hasFDerivAt_stereoInvFunAux, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, MDifferentiableAt.sum, ContinuousLinearMap.comp_memLp, Complex.tsum_exp_neg_mul_int_sq, Real.fderiv_fourierChar_neg_bilinear_right_apply, LinearMap.IsSymmetric.diagonalization_apply_self_apply, LinearMap.IsPositive.re_inner_nonneg_right, Unitization.real_cfcₙ_eq_cfc_inr, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', VectorField.mpullbackWithin_add, intervalIntegral.fderiv_integral_of_tendsto_ae, Submodule.starProjection_orthogonal', RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, DoubleCentralizer.natCast_fst, lp.coeFn_star, hasFPowerSeriesOnBall_pi_iff, SmoothPartitionOfUnity.contMDiffAt_finsum, DifferentiableAt.prodMap, ContinuousLinearMap.IsPositive.toLinearMap, AnalyticOnNhd.iteratedFDeriv_of_isOpen, ContinuousLinearMap.norm_compLp_le, Submodule.toLinearEquiv_orthogonalDecomposition, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContinuousLinearEquiv.symm_toDiffeomorph, ContDiffMapSupportedIn.structureMapCLM_apply, iteratedFDerivWithin_succ_eq_comp_right, OrthonormalBasis.toBasis_tensorProduct, TensorProduct.congrIsometry_refl_refl, eventually_enorm_mfderivWithin_symm_extChartAt_lt, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', MeasureTheory.lpNorm_add_le', MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, tangentMap_snd, iteratedDerivWithin_vcomp_two, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, isClosedEmbedding_cfcₙAux, setIntegral_withDensity_eq_setIntegral_toReal_smul, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, LeftInvariantDerivation.coe_derivation, TensorProduct.enorm_comm, innerSL_apply_apply, MeasureTheory.Lp.coeFn_const, Submodule.isOrtho_sup_right, RCLike.norm_expect_le, HasFPowerSeriesWithinOnBall.restrictScalars, TangentBundle.symmL_trivializationAt, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, aemeasurable_smul_const, DifferentiableWithinAt.fun_const_smul, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, MeasureTheory.integral_add_measure, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, inner_sum, HasFTaylorSeriesUpTo.hasFDerivAt, HasFDerivAtFilter.fun_sum, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, ContMDiffWithinAt.mfderivWithin_const, MeasureTheory.Measure.toSphere_apply_aux, Orientation.neg_rotation, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, HasFDerivAtFilter.sub, Unitization.splitMul_apply, GaussianFourier.integral_cexp_neg_mul_sq_norm, tendsto_integral_peak_smul_of_integrable_of_tendsto, inner_eq_norm_mul_iff, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, Sbtw.oangle_eq_add_pi_left, ProbabilityTheory.covarianceBilin_apply_eq_cov, ProbabilityTheory.covarianceBilin_self, DoubleCentralizer.nnnorm_def', deriv_fun_sum, tendsto_smul_comp_nat_floor_of_tendsto_mul, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, DifferentiableWithinAt.add, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, MeasureTheory.Integrable.hasSum_intervalIntegral, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, dist_iteratedFDerivWithin_one, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, VectorField.mpullbackWithin_smul, ContinuousMap.range_toLp, eqOn_dslope_sub_smul, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, Submodule.orthogonalProjection_mem_subspace_eq_self, ContinuousLinearMap.IsPositive.inner_nonneg_right, Differentiable.fun_smul, DoubleCentralizer.zero_snd, LeftInvariantDerivation.left_invariant', FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius, NormedRing.inverse_add_norm_diff_nth_order, FormalMultilinearSeries.le_changeOriginSeries_radius, Orientation.volumeForm_neg_orientation, hasSum_one_div_nat_pow_mul_fourier, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, derivWithin_fderivWithin, HasFDerivWithinAt.prodMap, two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even, AddCircle.toCircle_add, deriv_fun_pow', MeasureTheory.condExpIndL1Fin_smul, mfderiv_comp, InnerProductSpace.span_gramSchmidtNormed_range, HasFDerivWithinAt.hasLineDerivWithinAt, SlashInvariantForm.quotientFunc_mk, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, ProbabilityTheory.uncenteredCovarianceBilin_apply, Submodule.orthogonal_disjoint, InnerProductGeometry.angle_smul_right_of_pos, TemperedDistribution.lineDerivOp_fourier_eq, WeakFEPair.symm_Λ₀_eq, ContDiffPointwiseHolderAt.isBigO, ModularForm.SL_slash, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, AnalyticOn.comp_sub, SchwartzMap.decay', Module.Basis.ofZLatticeBasis_apply, ContinuousAlternatingMap.map_insertNth, intervalIntegral.integral_comp_sub_div, FormalMultilinearSeries.derivSeries_coeff_one, VonNeumannAlgebra.ext_iff, Complex.ofRealCLM_norm, Submodule.starProjection_add_starProjection_orthogonal, HasStrictFDerivAt.add_const, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, instIsZLatticeComap, mdifferentiableOn_symm_coordChangeL, intervalIntegral.integral_comp_mul_left, LipschitzWith.ae_exists_fderiv_of_countable, AnalyticAt.fun_const_smul, tsum_choose_mul_geometric_of_norm_lt_one', OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, NumberField.mixedEmbedding.mem_idealLattice, deriv_const_smul, intervalIntegral.integral_comp_mul_sub, SchwartzMap.bilinLeftCLM_apply, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, IsConformalMap.is_complex_or_conj_linear, derivWithin_comp_const_sub, IsHilbertSum.linearIsometryEquiv_symm_apply, SmoothBumpCovering.exists_immersion_euclidean, OrderedFinpartition.norm_applyOrderedFinpartition_le, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, hasSum_coe_mul_geometric_of_norm_lt_one', Submodule.starProjection_singleton, HasFPowerSeriesAt.eventually_hasSum, LeftInvariantDerivation.left_invariant, mfderiv_comp_apply_of_eq, ContinuousLinearMap.comp_condExp_add_const_comm, torusIntegral_add, Orientation.tan_oangle_add_right_smul_rotation_pi_div_two, hasStrictFDerivAt_snd, tsum_coe_mul_geometric_of_norm_lt_one, Complex.convexHull_reProdIm, CPolynomialAt.add, HasFPowerSeriesAt.neg, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable_aux, curveIntegralFun_smul, addInvariantVectorField_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, Module.Basis.exists_opNorm_le, ClosedSubmodule.mem_orthogonal', meromorphicOrderAt_add_of_ne, fourierIntegral_gaussian_innerProductSpace', ProbabilityTheory.integral_gaussianReal_eq_integral_smul, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, AnalyticOn.iteratedFDerivWithin, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, derivWithin_fun_const_smul_field, MeasureTheory.Measure.instIsAddLeftInvariantMeasure, MeasureTheory.IntegrableOn.smul_continuousOn, InnerProductSpace.canonicalCovariantTensor_eq_sum, Differentiable.fderiv_norm_rpow, combo_mem_ball_of_ne, FDerivMeasurableAux.le_of_mem_A, UnitAddTorus.mFourierSubalgebra_coe, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, curveIntegrable_fun_neg_iff, HasStrictDerivAt.pow', Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two, iteratedDerivWithin_tsum_cexp_eq, fourierCoeff.sum, ContinuousLinearEquiv.coe_toDiffeomorph_symm, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, TensorProduct.ext_iff_inner_right_threefold', CurveIntegrable.zero, ContinuousMultilinearMap.contDiffAt, ProbabilityTheory.hasGaussianLaw_iff_charFun_map_eq, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, Complex.hasSum_taylorSeries_on_ball, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', HasFPowerSeriesOnBall.restrictScalars, GaussianFourier.integral_cexp_neg_mul_sq_norm_add, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, HasFDerivAtFilter.const_add, PeriodPair.weierstrassP_coe, ZSpan.smul, Meromorphic.fun_sum, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, Module.Basis.ofZLatticeComap_apply, conformal_const_smul, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, ClosedSubmodule.inf_orthogonal, NormedAddCommGroup.summable_imp_tendsto_iff_completeSpace, HasFDerivAtFilter.const_sub, lp.coeFnAddMonoidHom_apply, ContDiffWithinAt.fun_smul, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, ContinuousLinearMap.isPositive_natCast, tendsto_birkhoffAverage_apply_sub_birkhoffAverage, ContinuousMultilinearMap.opNorm_zero_iff, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, hasFDerivWithinAt_comp_smul_iff_smul, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Submodule.starProjection_comp_starProjection_eq_zero_iff, FDerivMeasurableAux.differentiable_set_subset_D, sum_cauchyPowerSeries_eq_integral, MeasureTheory.condExpIndL1_add, SchwartzMap.laplacianCLM_eq, fderiv_fun_smul, CStarModule.innerSL_apply, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivAt, MeromorphicOn.fun_smul, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, LinearIsometryEquiv.conjStarAlgEquiv_apply, MeasureTheory.smul_convolution, Bundle.ContinuousLinearMap.vectorBundle, Real.vector_fourierIntegral_eq_integral_exp_smul, VectorField.mlieBracketWithin_const_smul_right, PadicInt.mahlerTerm_apply, iteratedFDerivWithin_comp_add_right', HasFDerivAt.le_of_lipschitzOn, MDifferentiable.sum, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.ConvolutionExistsAt.integrable, Complex.taylorSeries_eq_of_entire, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.fourier_real_eq_integral_exp_smul, ProbabilityTheory.covarianceOperator_apply, InnerProductGeometry.angle_smul_left_of_neg, PadicInt.coe_sum, MeasureTheory.integral_tilted, ContDiffAt.laplacian_CLM_comp_left, Matrix.exp_conj', CStarAlgebra.span_nonneg_inter_unitBall, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, Function.HasTemperateGrowth.sum, HasFDerivWithinAt.comp_of_tendsto, smul_unitClosedBall, MeasureTheory.average_mem_openSegment_compl_self, TestFunction.continuous_iff_continuous_comp, isSelfAdjoint_iff_isStarNormal_and_spectrumRestricts, HasFiniteFPowerSeriesOnBall.sum, HasStrictFDerivAt.const_mul, MeasureTheory.L1.integral_smul, MeasureTheory.Measure.toSphere_real_apply_univ, DifferentiableOn.smul_const, LinearMap.IsSymmetricProjection.ext_iff, ConvexOn.univ_sSup_of_countable_affine_eq, RCLike.hasSum_ofReal, Matrix.PosSemidef.commute_iff, TestFunction.toBoundedContinuousFunctionCLM_apply, Conformal.const_smul, MeasureTheory.Lp.instFourierInvSMul, IsLocalFrameOn.coeff_apply_of_mem, ClosedSubmodule.orthogonal_injective, Orientation.oangle_neg_right, ContinuousLinearEquiv.hasTemperateGrowth, ContinuousMap.summable_of_locally_summable_norm, HasFDerivAt.finset_prod, SchwartzMap.fderivCLM_apply, ContinuousLinearMap.smul_compLp, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.contMDiff, ContinuousLinearMap.mdifferentiable, HasStrictFDerivAt.fun_sum, HasSum.hasSum_at_zero, Pretrivialization.continuousLinearMap_symm_apply', HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, VectorBundleCore.coordChange_self, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, MeasureTheory.integral_union_ae, fderiv_const_smul_field, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, instContMDiffAddSelf, LinearIsometry.map_starProjection', MeromorphicOn.fun_add, polynomialFunctions.starClosure_topologicalClosure, tendsto_integral_exp_inner_smul_cocompact_of_continuous_compact_support, threeAPFree_sphere, DifferentiableAt.fderiv_prodMk, ContDiffWithinAt.laplacianWithin_add, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, AddCircle.integral_haarAddCircle, VectorBundleCore.localTriv_continuousLinearMapAt, WithCStarModule.inner_def, hasFDerivWithinAt_inv, hasSum_nat_jacobiTheta, InnerProductSpace.HarmonicAt.const_smul, CircleIntegrable.const_smul, DoubleCentralizer.pow_snd, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, Submodule.symmetric_isOrtho, Real.fourier_deriv, iteratedDeriv_scomp_three, fderiv_fun_pow', hasDerivWithinAt_pi, MeromorphicOn.add, DifferentiableAt.add_const, Real.integrable_prod_sub, Orientation.oangle_smul_left_of_neg, HasFDerivWithinAt.csin, MDifferentiable.smul, norm_smul_inv_norm, ContinuousLinearEquiv.comp_hasFDerivAt_iff, tendstoUniformly_tsum_nat, ContinuousLinearMap.eq_adjoint_iff, hasMFDerivAt_sumSwap, PeriodPair.hasSum_derivWeierstrassPExcept, Orientation.norm_div_cos_oangle_add_left_of_oangle_eq_pi_div_two, deriv.star, Orientation.volumeForm_map, MeasureTheory.Measure.addHaar_ball_of_pos, SchwartzMap.toLpCLM_apply, dist_birkhoffSum_birkhoffSum_le, LinearMap.IsSymmetric.directSum_decompose_apply, VectorBundleCore.localTriv_symmL, derivWithin.scomp, TangentBundle.symmL_trivializationAt_eq_core, DifferentiableOn.circleIntegral_sub_inv_smul, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, ContinuousLinearMap.IsPositive.smul_of_nonneg, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto, fderiv_add_const, AnalyticOn.iteratedFDerivWithin_comp_perm, LinearMap.polar_singleton, Orientation.oangle_add_right_eq_arcsin_of_oangle_eq_pi_div_two, Unitary.coe_linearIsometryEquiv_apply, BoxIntegral.integral_add, ModularForm.prod_slash_sum_weights, MeasureTheory.convolution_tendsto_right, Submodule.reflection_singleton_apply, MeasureTheory.condExpIndL1Fin_add, smul_unitClosedBall_of_nonneg, HasFTaylorSeriesUpToOn.zero_eq', fderiv_sum, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, interior_convexHull_nonempty_iff_affineSpan_eq_top, DifferentiableWithinAt.fderivWithin_prodMk, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero, HasFiniteFPowerSeriesAt.finite, HasFDerivWithinAt.const_mul, isClosed_setOf_tendsto_birkhoffAverage, MeasureTheory.weightedSMul_nonneg, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, FormalMultilinearSeries.id_apply_one', TangentBundle.continuousLinearMapAt_trivializationAt_eq_core, ContinuousMultilinearMap.norm_smulRightL_le, HasSummableGeomSeries.summable_geometric_of_norm_lt_one, tensorIteratedFDerivTwo_eq_iteratedFDeriv, tsum_geometric_of_norm_lt_one, AnalyticOnNhd.iteratedFDeriv, WeakFEPair.h_feq, differentiableAt_smul_iff, DoubleCentralizer.nnnorm_snd, OnePoint.isBoundedAt_iff_forall_SL2Z, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', HasStrictFDerivAt.star, Module.Basis.parallelepiped_reindex, Submodule.reflection_apply, Real.circleAverage_sum, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegralFun_segment, ZMod.completedLFunction_def_even, SchwartzMap.integral_fourierInv_smul_eq, Memℓp.star_mem, SlashInvariantForm.quotientFunc_smul, RCLike.reCLM_norm, Besicovitch.SatelliteConfig.exists_normalized_aux2, differentiable_finCons', Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, HasDerivAtFilter.add, curveIntegral_neg, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_integrableOn, HasFDerivAt.sub, circleIntegral.integral_fun_sum, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, LinearIsometryEquiv.lTensor_apply, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, mfderiv_comp_of_eq, MeasureTheory.SignedMeasure.toComplexMeasure_apply, ModularForm.tsum_logDeriv_eta_q, InnerProductSpace.gramSchmidt_def, EisensteinSeries.summable_left_one_div_linear_sub_one_div_linear, HasFDerivAt.star, CStarMatrix.toCLM_injective, iteratedFDerivWithin_succ_const, Complex.integral_circleTransform, ContinuousLinearMap.isPositive_self_comp_adjoint, iteratedDeriv_scomp_eq_sum_orderedFinpartition, trivialization_linear, formalMultilinearSeries_geometric_apply_norm_le, ContinuousLinearMap.hasFPowerSeriesAt, Bundle.Trivial.continuousLinearMapAt_trivialization, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, LinearMap.adjoint_toContinuousLinearMap, hasDerivAt_iff_isLittleO, UniqueDiffWithinAt.smul, Unitary.linearIsometryEquiv_coe_apply, LDL.lowerInv_eq_gramSchmidtBasis, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, EuclideanGeometry.angle_vadd_const, hasStrictFDerivAt_pi', HasFDerivAtFilter.neg, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, HasFPowerSeriesOnBall.const_smul, Orientation.abs_volumeForm_apply_of_orthonormal, ContinuousLinearMap.toSesqForm_apply_coe, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, ContinuousMultilinearMap.curry0_apply, HasFDerivWithinAt.fun_const_smul, norm_iteratedFDerivWithin_zero, iteratedFDerivWithin_of_isOpen, HasStrictFDerivAt.const_smul, HasFPowerSeriesWithinOnBall.fderivWithin, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, HasFDerivAt.multilinear_comp, BoxIntegral.hasIntegral_GP_pderiv, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, SchwartzMap.integral_bilin_fourierIntegral_eq, fourier_gaussian_innerProductSpace, ValueDistribution.logCounting_add_top_le, analyticOrderAt_add_eq_left_of_lt, NormedRing.inverse_one_sub_nth_order, HasStrictDerivAt.fun_sum, OnePoint.isZeroAt_iff_exists_SL2Z, LinearIsometryEquiv.adjoint_eq_symm, DifferentiableWithinAt.sum, NumberField.mixedEmbedding.negAt_apply_snd, extDeriv_fun_smul, TensorProduct.mapIsometry_id_id, ContinuousAlternatingMap.toAlternatingMap_curryLeft, Matrix.toEuclideanLin_apply, IsContDiffImplicitAt.hasFDerivAt, iteratedDerivWithin_eq_iteratedFDerivWithin, HasFDerivWithinAt.mul, Submodule.IsOrtho.orthogonalProjection_comp_subtypeL, LinearMap.IsPositive.isPositive_smul_iff, ContinuousLinearMap.sSup_sphere_eq_nnnorm, analyticOrderAt_smul_eq_top_of_left, VectorFourier.fourierPowSMulRight_eq_comp, IsEquivalent.summable_iff_nat, MeasureTheory.charFunDual_eq_charFun_map_one, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, hasFDerivWithinAt_pi', EisensteinSeries.E2_slash_action, HasFDerivWithinAt.multiset_prod, IsHilbertSum.hasSum_linearIsometryEquiv_symm, ContinuousLinearMap.opNorm_mul, Submodule.IsOrtho.map_iff, DoubleCentralizer.smul_toProd, fderivWithin_pi, mfderivWithin_projIcc_one, InnerProductSpace.harmonicOnNhd_comp_CLE_iff, sameRay_iff_inv_norm_smul_eq_of_ne, CuspForm.coe_trace, EisensteinSeries.e2Summand_summable, norm_sum_lt_of_strictConvexSpace, UniformConvexOn.strictConvexOn, TemperedDistribution.smulLeftCLM_neg, tendstoUniformly_tsum_of_cofinite_eventually, Orientation.oangle_sign_sub_smul_left, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge', MeasureTheory.SimpleFunc.integral_eq_sum_filter, HasFDerivAt.arctan, fderivWithin_star, Differentiable.fun_const_smul, DoubleCentralizer.toProdMulOpposite_injective, deriv_const_add', RCLike.conjCLE_apply, MeasureTheory.Measure.quasiMeasurePreserving_smul, ContMDiffAt.mfderiv_apply, hasFDerivAt_snd, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', DoubleCentralizer.norm_fst_eq_snd, MeasureTheory.L1.SimpleFunc.integral_add, Unitization.nnnorm_def, HasStrictFDerivAt.abs, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, Orientation.rightAngleRotation_def, ImplicitFunctionData.range_leftDeriv, HasFDerivAt.fun_smul, Function.HasTemperateGrowth.toTemperedDistribution_apply, Euclidean.closedBall_eq_image, ContinuousMultilinearMap.uncurrySum_apply, NumberField.mixedEmbedding.negAt_preimage, HasLineDerivAt.tendsto_slope_zero_right, ZLattice.comap_toAddSubgroup, NormedSpace.expSeries_summable, Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, RCLike.wInner_cWeight_eq_expect, Submodule.coe_orthogonalDecomposition_symm, Complex.starConvex_ofReal_slitPlane, Real.Angle.sign_two_nsmul_eq_neg_sign_iff, CuspForm.coeHom_apply, PiTensorProduct.mapL_smul, SchwartzMap.integral_sesq_fourier_eq, BoundedContinuousFunction.coe_toContinuousMapStarₐ, MeasureTheory.aestronglyMeasurable_condExpL2, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, Submodule.orthogonalProjection_bot, Real.fderiv_fourier, DoubleCentralizer.norm_def', ApproximatesLinearOn.norm_fderiv_sub_le, MeasureTheory.charFunDual_pi', ContinuousLinearMap.adjointAux_norm, differentiable_apply, CStarMatrix.norm_def', NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, Submodule.range_starProjection, HurwitzZeta.hasSum_nat_sinZeta, MeasureTheory.Integrable.smul_bdd, MeasureTheory.Measure.addHaar_ball_mul, MeasureTheory.convolution_smul, MeasureTheory.MemLp.integrable_enorm_pow', ZLattice.module_finite, MeasureTheory.withDensityᵥ_add', LeftInvariantDerivation.lift_add, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, Pi.counit_eq_adjoint, EisensteinSeries.G2_slash_action, WithLp.unitization_algebraMap, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.condExpInd_nonneg, HasFDerivAt.restrictScalars, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, ContinuousLinearMap.fpowerSeries_apply_zero, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux, Complex.taylorSeries_eq_on_ball', Orientation.areaForm_to_volumeForm, stereoInvFunAux_apply, StrongFEPair.functional_equation, VectorPrebundle.mk_contMDiffCoordChange, Submodule.exists_add_mem_mem_orthogonal, extDerivWithin_constOfIsEmpty, Complex.summable_conj, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, ContinuousLinearMap.norm_iteratedFDerivWithin_comp_left, HasStrictFDerivAt.arsinh, MeasureTheory.withDensityᵥ_neg', PeriodPair.latticeBasis_zero, ZMod.LFunction_def_odd, iteratedDeriv_smul_const, circleIntegral.integral_sub_inv_smul_sub_smul, HasFDerivWithinAt.exp, ContinuousLinearMap.comp_memLp', HasStrictFDerivAt.list_prod', summable_mul_of_bigO_atTop, SchwartzMap.fourier_lineDerivOp_eq, DifferentiableAt.smul, Manifold.IsImmersionAtOfComplement.map_target_subset_target, Complex.starConvex_one_slitPlane, Asymptotics.IsEquivalent.add_isLittleO, ContinuousLinearMapWOT.inducingFn_apply, TemperedDistribution.instLineDerivLeftSMulReal, LindemannWeierstrass.exp_polynomial_approx, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, CStarMatrix.inner_toCLM_conjTranspose_left, Orientation.areaForm_neg_orientation, AffineBasis.interior_convexHull, EuclideanGeometry.inversion_vsub_center, MeasureTheory.Integrable.essSup_smul, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, MeasureTheory.pdf.integral_pdf_smul, ContMDiff.smul, EuclideanSpace.instFactEqNatFinrankFin, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, FormalMultilinearSeries.nnnorm_changeOrigin_le, hasStrictDerivAt_add_const_iff, Trivialization.continuousLinearEquivAt_apply, hasLineDerivWithinAt_smul_iff, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, Finsupp.sum_inner, TemperedDistribution.fourierInv_lineDerivOp_eq, MDifferentiable.const_smul, hasMFDerivAt_fst, MeasureTheory.condExpL2_indicator_ae_eq_smul, mfderivWithin_comp_projIcc_one, conformalAt_const_smul, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, InnerProductGeometry.tan_angle_add_mul_norm_of_inner_eq_zero, FormalMultilinearSeries.rightInv_removeZero, geom_series_succ, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', Complex.hasStrictFDerivAt_cpow', NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, MeromorphicAt.fun_smul, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, HasDerivAt.add, SchwartzMap.smulLeftCLM_real_smul, Real.dimH_univ_eq_finrank, Submodule.le_orthogonal_orthogonal, MeasureTheory.Measure.integral_comp_inv_mul_left, ContDiffBump.measure_closedBall_div_le_integral, Orientation.kahler_eq_zero_iff, AddChar.sum_apply_eq_ite, EulerProduct.eulerProduct_completely_multiplicative, PositiveLinearMap.preGNS_norm_def, LinearMap.eq_adjoint_iff_basis_left, curveIntegralFun_trans_aeeq_right, contDiff_succ_iff_fderiv, BoxIntegral.integralSum_add, PositiveLinearMap.leftMulMapPreGNS_apply, ContinuousLinearEquiv.comp_differentiableOn_iff, tsum_geometric_le_of_norm_lt_one, MeasureTheory.measure_smul_average, MeasureTheory.condExpL1CLM_of_aestronglyMeasurable', MDifferentiableOn.smul, hasMellin_add, InnerProductSpace.HarmonicOnNhd.comp_CLM, ZLattice.rank, Orientation.oangle_sign_sub_smul_right, HasMFDerivAt.neg, ProperCone.innerDual_sUnion, Complex.integral_comp_polarCoord_symm, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_neg, ZSpan.quotientEquiv_apply_mk, HasFDerivAt.fun_const_smul, PeriodPair.ω₂_div_two_notMem_lattice, Orientation.oangle_smul_left_self_of_nonneg, UnitAddTorus.mFourierCoeff_toLp, Manifold.pathELength_def, iteratedDerivWithin_const_add, PeriodPair.hasSum_derivWeierstrassP, Orientation.areaForm_swap, curveIntegral_fun_smul, MeasureTheory.integral_biUnion_finset, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, Differentiable.const_smul, ContinuousLinearMap.holderₗ_apply_apply, hasFDerivAt_add_const_iff, taylor_tendsto, PeriodPair.compl_lattice_diff_singleton_mem_nhds, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, dslope_sub_smul, ext_inner_map, ProbabilityTheory.covarianceOperator_zero, ContinuousMultilinearMap.curryRight_norm, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, deriv_fun_smul, Submodule.instHasOrthogonalProjectionOfCompleteSpace, DifferentiableAt.const_add, FDerivMeasurableAux.norm_sub_le_of_mem_A, HasFDerivAt.add, ContinuousLinearMap.deriv, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, MeasureTheory.convolution_lsmul, PeriodPair.hasSumLocallyUniformly_derivWeierstrassP, Complex.sameRay_of_arg_eq, SlashInvariantForm.coe_translate, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, curveIntegral_fun_zero, ContDiffWithinAt.continuousWithinAt_iteratedFDerivWithin, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, LinearMap.nonneg_iff_isPositive, Orientation.kahler_swap, coe_innerSL_apply, strongConcaveOn_zero, HasFDerivWithinAt.const_sub, integral_withDensity_eq_integral_smul, intervalIntegral.integral_comp_add_div, LinearMap.IsSymmetric.inner_map_self_eq_zero, ContinuousLinearMap.isCompact_image_coe_closedBall, OrthonormalBasis.prod_apply, iteratedFDeriv_add_apply, deriv_fderiv, summable_mul_of_summable_norm, BoundedContinuousFunction.instIsOrderedAddMonoid, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux1, InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero, Orientation.rotation_rotation, cauchyPowerSeries_apply, summable_eisSummand, Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_pi, HasFDerivAt.sum, DifferentiableAt.const_smul, ContinuousLinearMap.isClosed_image_coe_closedBall, DoubleCentralizer.central, ModelWithCorners.hasMFDerivAt, MeasureTheory.MemLp.star, MeasureTheory.integral_condExpL2_eq, HasFPowerSeriesOnBall.coeff_zero, ContinuousLinearMap.instStarOrderedRing, BoxIntegral.HasIntegral.smul, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, TemperedDistribution.instFourierSMul, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, DifferentiableAt.add_iff_left, VectorBundleCore.localTriv_symm_fst, EuclideanGeometry.oangle_add, range_cfcₙHom, tendsto_tsum_of_dominated_convergence, HasMFDerivWithinAt.prodMap, hasFPowerSeriesOnBall_const, HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re, DifferentiableAt.fun_add, Real.Angle.sin_add_pi, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, TensorProduct.lidIsometry_apply, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, ContinuousLinearMap.hasDerivAt, Trivialization.comp_continuousLinearEquivAt_eq_coord_change, MeasureTheory.Measure.integral_comp_smul_of_nonneg, convex_halfSpace_re_le, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, DiffContOnCl.circleIntegral_sub_inv_smul, PadicInt.fwdDiff_tendsto_zero, intervalIntegral.hasSum_intervalIntegral_of_summable_norm, CompletelyPositiveMap.instLinearMapClassComplex, EulerProduct.eulerProduct_hasProd, iteratedFDeriv_sum, LinearMap.IsPositive.inner_nonneg_left, MeasureTheory.Integrable.of_mem_Icc_enorm, tensorIteratedFDerivWithinTwo_eq_iteratedFDerivWithin, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, iteratedFDerivWithin_comp_add_left, MDifferentiableAt.add, ContinuousLinearMap.instCStarRingId, NormedSpace.eq_zero_iff_forall_dual_eq_zero, hasFDerivAt_finCons, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, HasMFDerivWithinAt.neg, hasFDerivWithinAt_finCons, norm_injOn_ray_right, MeasureTheory.setIntegral_condExpL2_indicator, iteratedDeriv_fun_const_smul, PeriodPair.mem_lattice, fderiv_smul, BoundedContinuousFunction.mem_charPoly, stereographic_apply_neg, instCountable_of_discrete_submodule, OrthonormalBasis.orthogonalProjection_apply_eq_sum, Orientation.kahler_comp_rightAngleRotation, hasMFDerivAt_inr, EisensteinSeries.tsum_symmetricIco_linear_sub_linear_add_one_eq_zero, differentiable_snd, BoundedContinuousFunction.charAlgHom_apply, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left, iteratedFDerivWithin_const_smul_apply, HasFDerivWithinAt.star, ArithmeticFunction.vonMangoldt.residueClass_apply, MeasureTheory.lpNorm_add_le, Matrix.PosSemidef.trace_eq_zero_iff, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, ContinuousAlternatingMap.curryLeft_apply_apply, affinity_unitClosedBall, ContinuousLinearMap.contDiffPointwiseHolderAt, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, mfderivWithin_sumInr, ContDiffBump.normed_le_div_measure_closedBall_rOut, Bundle.Trivial.vectorBundle, ContDiffMapSupportedIn.coe_smul, PadicInt.mahlerSeries_apply, HasFPowerSeriesOnBall.comp_sub, HasDerivWithinAt.fun_pow', PeriodPair.analyticOnNhd_derivWeierstrassPExcept, AddCircle.ergodic_nsmul_add, MeasureTheory.integral_singleton', PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Orientation.volumeForm_zero_pos, Real.Angle.cos_add_pi, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, HasFDerivWithinAt.const_smul, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, meromorphicOrderAt_add_eq_left_of_lt, ContinuousLinearEquiv.hasMFDerivAt, MeasureTheory.ConvolutionExistsAt.integrable_swap, SchwartzMap.laplacianCLM_eq', VectorBundleCore.trivializationAt_coordChange_eq, EuclideanGeometry.oangle_add_swap, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, norm_inner_eq_norm_iff, Real.circleAverage_eq_circleIntegral, HasFiniteFPowerSeriesOnBall.eq_partialSum, tsum_mul_tsum_of_summable_norm, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, meromorphicOrderAt_add, Real.Angle.cos_add_pi_div_two, MeasureTheory.charFunDual_prod, ContinuousLinearMap.measurable_apply₂, IsLocalFrameOn.coeff_congr, continuousOn_tangentCoordChange, Real.Angle.two_nsmul_eq_zero_iff, nnnorm_cfcₙ_nnreal_lt, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, HasFDerivAt.comp_hasFDerivWithinAt, lp.hasSum_single, FiniteDimensional.RCLike.properSpace_submodule, Real.Angle.coe_add, Function.hasTemperateGrowth_iff_isBigO, range_stereographic_symm, EisensteinSeries.G2_eq_tsum_symmetricIco, Complex.equivRealProdCLM_symm_apply, MeasureTheory.integral_smul, Complex.cos_eq_tsum', mellinInv_eq_fourierIntegralInv, iteratedFDerivWithin_neg_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, ProbabilityTheory.strong_law_ae, HasDerivWithinAt.fun_finset_prod, ContDiffOn.const_smul, DifferentiableWithinAt.prodMk, cot_series_rep', Module.Basis.prod_addHaar, NumberField.canonicalEmbedding.integralBasis_repr_apply, ZSpan.measureReal_fundamentalDomain, EuclideanGeometry.orthogonalProjection_apply', SmoothPartitionOfUnity.contDiffAt_finsum, ContMDiffAt.smul, isOpenEmbedding_stereographic_symm, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, intervalIntegral.integral_add_adjacent_intervals, HasFPowerSeriesOnBall.fderiv_eq, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, strictConvex_closedBall, MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaar, PositiveLinearMap.instContinuousLinearMapClassComplexOfLinearMapClassOfOrderHomClass, mfderivWithin_comp_of_preimage_mem_nhdsWithin_of_eq, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, isBigO_rpow_top_log_smul, HasDerivAtFilter.fun_add, differentiableAt_star_iff, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, MeromorphicAt.sum, PeriodPair.basis_zero, mfderiv_prod_eq_add_comp, ContinuousLinearMap.fderiv_of_bilinear, TestFunction.coe_smul, has_fderiv_at_filter_real_equiv, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.setIntegral_condExpInd, Real.circleAverage_fun_sum, ContinuousLinearMap.isPositive_def, InnerProductGeometry.norm_add_eq_add_norm_of_angle_eq_zero, ContinuousLinearEquiv.hasMFDerivWithinAt, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, fderiv_mul_const', tendsto_integral_exp_smul_cocompact, MeasureTheory.integral_comp_rpow_Ioi_of_pos, EulerProduct.eulerProduct, EisensteinSeries.summable_of_isBigO_rpow_norm, Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, SchwartzMap.toBoundedContinuousFunctionCLM_apply, hasSum_jacobiTheta₂_term, curveIntegral_segment, TestFunction.postcompCLM_apply, hasFDerivAt_jacobiTheta₂_term, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, AddCircle.exists_norm_nsmul_le, Submodule.starProjection_top', ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, HasFDerivWithinAt.abs_of_neg, OrthonormalBasis.toBasis_mulOpposite, Submodule.adjoint_subtypeL, hasStrictFDerivAt_exp, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, IsCoercive.range_eq_top, AnalyticOn.fderivWithin, LinearMap.isSymmetric_adjoint_mul_self, InnerProductGeometry.angle_add_le_pi_div_two_of_inner_eq_zero, gelfandStarTransform_symm_apply, Sbtw.oangle_eq_add_pi_right, ContinuousLinearMap.norm_smulRightL, mul_neg_geom_series, ContinuousLinearEquiv.uniqueDiffOn_image, mfderiv_comp_mfderivWithin, Orientation.oangle_eq_zero_iff_sameRay, MeasureTheory.Submartingale.add_martingale, Submodule.reflection_orthogonalComplement_singleton_eq_neg, PadicInt.coe_addChar_of_value_at_one, ContinuousLinearEquiv.comp_fderiv, RCLike.summable_ofReal, HasFDerivWithinAt.fun_smul, PadicInt.mahlerSeries_apply_nat, intervalIntegral.integral_deriv_comp_smul_deriv', VectorField.mpullback_add_apply, AnalyticOn.compContinuousLinearMap, MeasureTheory.convolution_def, Affine.Triangle.dist_circumcenter_reflection_orthocenter, HasStrictFDerivAt.prodMk, MeasureTheory.norm_condExpL2_coe_le, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, HurwitzZeta.hasSum_nat_completedCosZeta, tendsto_sub_mul_tsum_nat_cpow, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, BoxIntegral.Integrable.toBoxAdditive_apply, MeasureTheory.Submartingale.smul_nonneg, RCLike.imLm_coe, ContinuousMultilinearMap.uncurry0_norm, ContDiffOn.continuousOn_iteratedFDerivWithin, circleIntegral.integral_add, openSegment_subset_ball_of_ne, hasMFDerivWithinAt_inr, HasFPowerSeriesWithinOnBall.prod, NormedSpace.normalize_smul, IsBoundedBilinearMap.differentiableOn, HasDerivAt.fun_add, MeasureTheory.integrable_withDensity_iff_integrable_smul', MeasureTheory.MemLp.integrable_enorm_rpow', ContMDiffVectorBundle.continuousLinearMap, Orientation.angle_eq_iff_oangle_eq_or_sameRay, NormedSpace.eq_iff_forall_dual_eq, IsMIntegralCurveOn.comp_mul, ContinuousLinearEquiv.integral_comp_comm, HasDerivAt.star, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Bundle.Trivial.linearMapAt_trivialization, isAddFundamentalDomain_Ioc, HasFDerivWithinAt.neg, hasStrictDerivAt_const_add_iff, iteratedFDeriv_const_smul_apply, Summable_cotTerm, InnerProductGeometry.angle_eq_zero_iff, isBoundedBilinearMap_compMultilinear, ContinuousLinearEquiv.comp_right_fderiv, AnalyticAt.smul, hasLineDerivAt_smul_iff, Submodule.isIdempotentElem_starProjection, norm_cauchyPowerSeries_le, differentiableOn_finCons', VectorField.lieBracket_const_smul_left, sum_mul_eq_sub_integral_mul', hasFDerivAt_norm_rpow, dist_birkhoffAverage_apply_birkhoffAverage, MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum', mellinInv_eq_fourierInv, ZSpan.repr_ceil_apply, MeasureTheory.Measure.addHaar_preimage_continuousLinearMap, MeasureTheory.condExp_finset_sum, HasFPowerSeriesOnBall.uniform_geometric_approx, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ProperCone.innerDual_zero, DoubleCentralizer.neg_snd, summable_jacobiTheta₂_term_fderiv_iff, MeasureTheory.lpNorm_le_add_lpNorm_add, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ZLattice.comap_equiv_apply, sameRay_iff_of_norm_eq, ContinuousLinearMap.analyticAt, iteratedFDeriv_succ_const, HasDerivAtFilter.const_smul, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, IsOpen.exists_eq_add_of_fderiv_eq, ZLattice.FG, sum_inner, ProbabilityTheory.Kernel.integral_fn_integral_add_comp, MeasureTheory.Martingale.add, fourier_gaussian_innerProductSpace', ContDiffAt.iteratedFDeriv_right, HurwitzZeta.hasSum_nat_hurwitzZetaEven, VectorFourier.fourierIntegral_const_smul, HasFPowerSeriesWithinAt.fderivWithin_eq, ContDiffBump.convolution_tendsto_right, Matrix.linfty_opNNNorm_toMatrix, HasFTaylorSeriesUpToOn.cont, HurwitzZeta.hasSum_int_cosKernel, inCoordinates_apply_eq₂, ZMod.completedLFunction_def_odd, Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm, ContDiffAt.contDiffAt_norm_smul, Real.fourier_real_eq, AnalyticOnNhd.fderiv_of_isOpen, Asymptotics.IsEquivalent.smul, differentiableAt_apply, NormedSpace.expSeries_hasSum_exp, MeasureTheory.L1.integral_def, contDiffOn_infty_iff_fderivWithin, FormalMultilinearSeries.hasSum, ContinuousLinearMap.IsPositive.conj_adjoint, tangentMapWithin_snd, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, Matrix.toEuclideanCLM_toLp, WeakDual.CharacterSpace.homeoEval_naturality, hasSum_fourier_series_L2, CPolynomialOn.iteratedFDeriv, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, PeriodPair.isClosed_lattice, ContinuousLinearMap.isPositive_id, InnerProductGeometry.angle_add_eq_arctan_of_inner_eq_zero, FormalMultilinearSeries.coeff_eq_zero, ProbabilityTheory.covarianceBilin_zero, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIdealLattice, differentiableAt_pi'', RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, Real.tendsto_integral_gaussian_smul', HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, Real.hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, Real.finrank_eq_int_finrank_of_discrete, AddCircle.ergodic_add_left, LeftInvariantDerivation.evalAt_coe, derivWithin_const_add, Matrix.IsHermitian.trace_eq_sum_eigenvalues, Unitary.coe_symm_linearIsometryEquiv_apply, mfderivWithin_sumInl, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, HasFPowerSeriesOnBall.fderiv, LinearMap.adjoint_rTensor, Real.Angle.coe_coeHom, ZSpan.measure_fundamentalDomain, MeasureTheory.integral_fintype_iUnion, convex_halfSpace_im_gt, hasGradientAt_iff_isLittleO_nhds_zero, BoundedContinuousFunction.toLp_inj, contDiffOn_nat_iff_continuousOn_differentiableOn, LinearMap.IsPositive.add, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, GaussianFourier.integrable_cexp_neg_mul_sum_add, HilbertBasis.hasSum_orthogonalProjection, LinearMap.adjoint_inner_right, Complex.hasStrictFDerivAt_cpow, iteratedFDeriv_const_smul_apply', InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, stereoInvFun_apply, analyticAt_smul, Manifold.IsImmersionAt.writtenInCharts, fderiv_pow, ProbabilityTheory.isGaussian_map_equiv_iff, DoubleCentralizer.range_toProd, Real.fourierIntegral_convergent_iff', BoundedContinuousFunction.toLp_injective, Unitization.splitMul_injective_of_clm_mul_injective, TensorProduct.ext_iff_inner_left_threefold', lp.singleAddMonoidHom_apply, Submodule.isOrtho_sSup_right, LinearIsometry.lTensor_apply, AddChar.expect_apply_eq_zero_iff_ne_zero, ClosedSubmodule.bot_orthogonal_eq_top, ContinuousAlternatingMap.norm_curryLeft, MeasureTheory.integral_indicatorConstLp, tsum_pow_div_one_sub_eq_tsum_sigma, MeasureTheory.Measure.toSphere_apply_univ, Submodule.norm_sq_eq_add_norm_sq_starProjection, ContMDiffOn.coordChangeL, EisensteinSeries.linear_right_summable, MeasureTheory.charFunDual_eq_prod_iff, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, MeasureTheory.Measure.integral_comp_smul, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, InnerProductSpace.HarmonicOnNhd.add, mdifferentiableAt_hom_bundle, setIntegral_withDensity_eq_setIntegral_smul₀', innerSL_inj, PositiveLinearMap.preGNS_inner_def, MeasureTheory.condExpIndSMul_smul, hasDerivAt_add_const_iff, LSeries_eq_mul_integral_of_nonneg, MeasureTheory.Measure.hausdorffMeasure_smul₀, MeasureTheory.ae_ae_add_linearMap_mem_iff, real_inner_div_norm_mul_norm_eq_one_iff, HasFDerivWithinAt.cpow, TensorProduct.ext_iff_inner_left_threefold, MeasureTheory.lintegral_nnnorm_condExpL2_le, instContMDiffVectorBundleTopWithTopENatTangentSpaceOfIsManifold, PeriodPair.periodic_derivWeierstrassP, EisensteinSeries.summable_linear_left_mul_linear_left, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, DoubleCentralizer.add_fst, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', HasStrictFDerivAt.const_cpow, deriv_pi, LinearMap.IsSymmetric.coe_toSelfAdjoint, iteratedDeriv_const_smul, ContinuousLinearEquiv.iteratedFDerivWithin_comp_right, HasFDerivWithinAt.csinh, HasFPowerSeriesWithinAt.coeff_zero, TensorProduct.inner_lid_lid, DiffContOnCl.deriv_eq_smul_circleIntegral, OrthonormalBasis.toBasis_map, DifferentiableOn.deriv_eq_smul_circleIntegral, ContDiffMapSupportedIn.uniformSpace_eq_iInf, DifferentiableOn.add_const, hasFDerivAt_apply, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, cfcₙAux_id, riemannZeta_eulerProduct_exp_log, LinearMap.IsSymmetric.diagonalization_symm_apply, HasStrictFDerivAt.cexp, maximal_orthonormal_iff_basis_of_finiteDimensional, VectorField.mpullback_smul_apply, TensorProduct.norm_comm, contDiffWithinAt_iff_of_ne_infty, mfderiv_sumInl, AnalyticOnNhd.eval_linearMap, hasFTaylorSeriesUpToOn_pi', RCLike.rank_le_two, curveIntegral_segment_const, Differentiable.sum, mfderiv_sub, VectorBundleCore.localTriv_symm_apply, Memℓp.finset_sum, HasFDerivAt.abs, MeasureTheory.L1.integral_eq_setToL1, ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, ContinuousLinearMap.isPositive_toLinearMap_iff, BoxIntegral.BoxAdditiveMap.volume_apply, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, TestFunction.coe_ofSupportedInCLM, HasStrictFDerivAt.abs_of_neg, MeasureTheory.Integrable.toL1_smul, lp.singleContinuousAddMonoidHom_apply, RCLike.reCLM_coe, HasFDerivWithinAt.abs, ContDiffBump.normed_convolution_eq_right, InnerProductSpace.toDual_apply, AddCircle.ergodic_add_right, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, ContinuousLinearMap.derivWithin, exists_mem_interior_convexHull_affineBasis, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, summable_of_ratio_test_tendsto_lt_one, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, isSymmSndFDerivAt_iff_iteratedFDeriv, IsGreatest.nnnorm_cfcₙ_nnreal, HasFDerivWithinAt.mul_const, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', EuclideanGeometry.angle_add_const, Real.fourierIntegral_iteratedDeriv, intervalIntegral.smul_integral_comp_mul_sub, iteratedDerivWithin_smul_const, MeasureTheory.hasFDerivAt_convolution_right_with_param, ContinuousLinearEquiv.differentiableAt, CStarAlgebra.span_nonneg_inter_unitClosedBall, ProbabilityTheory.IsGaussian.charFun_eq', InnerProductSpace.exists_of_rankOne_eq_rankOne, fderiv_pow', MeasureTheory.VectorMeasure.isSigmaSubadditiveSetFun_enorm, MeasureTheory.Lp.coeFn_smul, ProbabilityTheory.covarianceBilinDual_eq_covariance, ContMDiffAt.mfderiv_const, AnalyticOn.domDomCongr_iteratedFDeriv, MeasureTheory.condExpL1CLM_indicatorConstLp, LinearIsometryEquiv.reflections_generate, Submodule.map_orthogonal_equiv, Orientation.cos_oangle_add_left_of_oangle_eq_pi_div_two, mfderiv_prodMap, iteratedFDerivWithin_eq_equiv_comp, ContDiffAt.laplacian_add, summable_norm_sum_mul_range_of_summable_norm, Matrix.l2_opNNNorm_mulVec, Differentiable.fun_add, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, hasFDerivAt_prodMk_left, Orthonormal.inner_left_right_finset, MeasureTheory.integral_inter_add_diff, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, ClosedSubmodule.top_orthogonal_eq_bot, ContDiffWithinAt.const_smul, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, SchwartzMap.norm_iteratedFDeriv_le_seminorm, ProbabilityTheory.covarianceBilinDual_zero, Submodule.norm_orthogonalProjection_apply_le, Finsupp.inner_sum, LinearMap.deriv, VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas, HasFDerivWithinAt.inner, TensorProduct.norm_assoc, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet, zeta_eq_tsum_one_div_nat_cpow, TensorProduct.nnnorm_tmul, OrthonormalBasis.starProjection_eq_sum_rankOne, MeasureTheory.SimpleFunc.integral_eq_sum, DoubleCentralizer.smul_fst, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, iteratedDerivWithin_const_smul_field, tendstoUniformlyOn_tsum, DifferentiableWithinAt.fun_sum, hasFDerivWithinAt_finCons', VectorBundleCore.trivializationAt_continuousLinearMapAt, TangentBundle.coordChange_model_space, NormedSpace.normalize_smul_of_pos, ContinuousLinearMap.adjoint_inner_left, AddChar.sum_apply_eq_zero_iff_ne_zero, MeasureTheory.condExpInd_disjoint_union, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, ValueDistribution.proximity_sum_top_le, iteratedDerivWithin_sum, EulerProduct.eulerProduct_tprod, MeasureTheory.Lp.simpleFunc.add_toSimpleFunc, EuclideanGeometry.oangle_add_cyc3, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, MeasureTheory.Supermartingale.add_martingale, VectorFourier.fourierIntegral_add, intervalIntegral.integral_comp_smul_deriv'', WeakFEPair.Λ₀_eq, fdifferential_apply, InnerProductSpace.AlgebraOfCoalgebra.mul_def, fderivWithin_const_add, MeasureTheory.Submartingale.add, Filter.EventuallyEq.iteratedFDerivWithin, coe_ringEquiv_lpBCF, ProbabilityTheory.Kernel.integral_integral_add', intervalIntegral.integral_comp_smul_deriv, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, HasLineDerivWithinAt.smul, HasStrictDerivAt.sum, FormalMultilinearSeries.apply_eq_pow_smul_coeff, FormalMultilinearSeries.le_radius_compContinuousLinearMap, continuousMultilinearCurryFin0_symm_apply, MeasureTheory.setIntegral_condExpIndSMul, ContinuousLinearEquiv.integrable_comp_iff, MeasureTheory.weightedSMul_empty, AnalyticWithinAt.add, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, Affine.Simplex.mongePlane_def, Orientation.oangle_add_oangle_rev, MDifferentiableOn.coordChangeL, VectorField.lieBracketWithin_smul_left, VectorField.mlieBracketWithin_const_smul_left, ContinuousLinearMap.IsPositive.isSymmetric, MeasureTheory.indicatorConstLp_univ, HasStrictFDerivAt.clog, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, fderiv_fun_add, FormalMultilinearSeries.compAlongComposition_bound, HasFiniteFPowerSeriesOnBall.comp_sub, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, Trivialization.prod.isLinear, HasStrictDerivAt.smul, intervalIntegral.integral_comp_add_mul, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, AnalyticAt.fun_smul, hasFTaylorSeriesUpToOn_top_iff', MeasureTheory.setIntegral_rnDeriv_smul, inTangentCoordinates_eq, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, HasStrictFDerivAt.sqrt, HasDerivWithinAt.complexToReal_fderiv, LinearMap.IsSymmetric.continuous, IsContMDiffRiemannianBundle.exists_contMDiff, MeasureTheory.Lp.norm_const_le, DiffContOnCl.circleIntegral_one_div_sub_center_pow_smul, Complex.hasSum_ofReal, hasDerivAtFilter_add_const_iff, LinearIsometry.extend_apply, ProbabilityTheory.instIsGaussianMapHSub, Matrix.exp_nsmul, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, ContinuousLinearMap.iteratedFDerivWithin_comp_left, HasDerivWithinAt.scomp_of_eq, MDifferentiableAt.const_smul, LinearMap.toSeminorm_comp, Submodule.isOrtho_top_left, MeasureTheory.SimpleFunc.integral_add_measure, contMDiffAt_coordChangeL, DiffContOnCl.const_smul, MeasureTheory.integral_image_eq_integral_abs_deriv_smul, HasFDerivWithinAt.fun_sub, HasStrictFDerivAt.rpow, VectorFourier.fourierIntegral_convergent_iff, InnerProductSpace.toDual_apply_apply, Real.Angle.sub_coe_pi_eq_add_coe_pi, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, ContinuousLinearMap.nonneg_iff_isPositive, integral_comp_polarCoord_symm, coe_lpBCFₗᵢ, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, Real.Angle.sin_eq_iff_coe_eq_or_add_eq_pi, Submodule.linearEquiv_det_reflection, HasFPowerSeriesAt.comp_sub, fderivWithin_fun_mul', Trivialization.symmL_continuousLinearMapAt, PeriodPair.differentiableOn_derivWeierstrassP, ProperCone.innerDual_singleton, PeriodPair.weierstrassPExcept_def, Submodule.IsOrtho.map, differentiable_inner, HasFPowerSeriesWithinOnBall.sub, HasLineDerivAt.tendsto_slope_zero_left, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, HasFDerivWithinAt.prodMk, LDL.lower_conj_diag, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', HurwitzZeta.hasSum_int_cosZeta, Submodule.toLinearMap_starProjection_eq_isComplProjection, DifferentiableOn.fun_const_smul, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, hasStrictFDerivAt_finCons, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, HasDerivAt.smul_const, Diffeomorph.mfderivToContinuousLinearEquiv_coe, TensorProduct.nnnorm_map, Module.Basis.ofZLatticeBasis_span, contDiff_const_smul, IsLocalMinOn.hasFDerivWithinAt_nonneg, MeasureTheory.IsAddFundamentalDomain.setIntegral_eq_tsum, HasMFDerivAt.prodMap, WeakFEPair.h_feq', MeasureTheory.weightedSMul_null, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, Submodule.sub_starProjection_mem_orthogonal, ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three, contDiffOn_succ_iff_fderiv_of_isOpen, hasSum_jacobiTheta₂_term_fderiv, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, Module.Basis.addHaar_reindex, Orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, tendstoUniformlyOn_tsum_nat, dist_birkhoffAverage_birkhoffAverage, NumberField.mixedEmbedding.mem_span_latticeBasis, dslope_sub_smul_of_ne, deriv_add_const', Orientation.tan_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, fderiv_const_add, fderiv_mul', MeasureTheory.eLpNorm_star, hasFDerivWithinAt_const_add_iff, UniformSpace.Completion.norm_toComplL, fderivWithin_const_smul_of_field, ProbabilityTheory.covarianceBilin_comm, HasStrictFDerivAt.ccos, ContinuousMap.toLp_def, ContDiffAt.const_smul, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, VectorField.lieBracket_fmul_left, Complex.hasSum_sin, iteratedDerivWithin_fun_const_smul_field, HasFDerivAtFilter.sum, SchwartzMap.integral_bilin_fourier_eq, ContinuousLinearEquiv.contDiffPointwiseHolderAt, ContinuousMultilinearMap.analyticAt, MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum, hasMFDerivAt_id, ClosedSubmodule.orthogonal_eq_inter, PositiveLinearMap.toPreGNS_ofPreGNS, Orientation.kahler_neg_orientation, FormalMultilinearSeries.radius_inv_eq_limsup, HasFDerivWithinAt.cexp, hasFDerivWithinAt_iff_hasDerivWithinAt, AnalyticOnNhd.comp_sub, affinity_unitBall, EisensteinSeries.D2_inv, MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum'', hasFTaylorSeriesUpToOn_succ_iff_right, EisensteinSeries.hasSum_e2Summand_symmetricIco, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, iteratedFDeriv_comp_add_left, ContinuousMultilinearMap.norm_map_init_le, ContinuousLinearMap.iteratedFDerivWithin_comp_right, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, hasMFDerivWithinAt_id, LeftInvariantDerivation.left_invariant'', ContinuousAlternatingMap.hasStrictFDerivAt, lp.coeFn_add, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', LinearIsometryEquiv.conjStarAlgEquiv_refl, CurveIntegrable.fun_zero, HasDerivAt.tendsto_slope_zero_left, InnerProductSpace.laplacian_smul, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, derivWithin_fun_const_smul, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', VectorField.mpullback_apply, LinearMap.IsSymmetric.toSelfAdjoint_apply, MeasureTheory.Lp.constₗ_apply, Submodule.coe_continuous_linearProjOfClosedCompl, hasSum_jacobiTheta₂'_term, InnerProductSpace.volume_ball, Real.Angle.sin_two_nsmul, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, iteratedFDeriv_neg_apply, MeasureTheory.aemeasurable_fderivWithin, circleIntegral.norm_two_pi_i_inv_smul_integral_le_of_norm_le_const, Submodule.coe_orthogonalDecomposition, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, EisensteinSeries.q_expansion_riemannZeta, hasMFDerivWithinAt_fst, MeasureTheory.integral_finset_sum_measure, HasDerivAt.complexToReal_fderiv, differentiableAt_fst, ContinuousLinearMapWOT.isInducing_inducingFn, fderivWithin_fderivWithin_eq_of_eventuallyEq, PositiveLinearMap.exists_norm_apply_le, EulerProduct.eulerProduct_completely_multiplicative_tprod, DoubleCentralizer.star_fst, Real.fourierIntegral_real_eq_integral_exp_smul, differentiableOn_pi'', InnerProductSpace.laplacianWithin_smul, intervalIntegral.sum_integral_adjacent_intervals_Ico, EuclideanHalfSpace.convex, Submodule.finrank_orthogonal_span_singleton, summable_prod_mul_pow, RCLike.summable_conj, MeasureTheory.condExpIndSMul_add, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, ContinuousLinearMap.fpowerSeries_apply_add_two, iteratedDeriv_mul, TestFunction.coe_ofSupportedInLM, mfderivWithin_eventually_congr_set', Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, extDerivWithin_fun_smul, LinearMap.isPositive_natCast, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, TensorProduct.toLinearEquiv_congrIsometry, ContDiffWithinAt.smul, HasDerivAt.add_const, hasFDerivAt_exp_smul_const', iteratedFDerivWithin_one_apply, ContDiffWithinAt.domDomCongr_iteratedFDerivWithin, normedAddGroupHomCompletionHom_apply, MeasureTheory.SignedMeasure.re_toComplexMeasure, TemperedDistribution.smulLeftCLM_sub, Submodule.isOrtho_iSup_left, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, IsCoercive.bounded_below, HurwitzZeta.hasSum_nat_cosZeta, ValueDistribution.proximity_add_top_le, iteratedFDerivWithin_comp_sub, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, Submodule.norm_subtypeL, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, fourierCoeff.const_smul, Submodule.mem_orthogonal', NumberField.mixedEmbedding.volume_preserving_negAt, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, OnePoint.isZeroAt_iff_forall_SL2Z, setIntegral_withDensity_eq_setIntegral_toReal_smul₀', hasFDerivAt_finCons', LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, Asymptotics.isLittleO_sum_range_of_tendsto_zero, contDiffPointwiseHolderAt_iff, ContinuousLinearMap.IsStarNormal.orthogonal_range, hasSum_cauchyPowerSeries_integral, ContinuousLinearMap.aestronglyMeasurable_comp₂, differentiableWithinAt_comp_sub, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, MeasureTheory.integral_fintype, IsLocalMinOn.hasFDerivWithinAt_eq_zero, MDifferentiableOn.add, LinearMap.toMatrix_innerₛₗ_apply, NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, Matrix.exp_sum_of_commute, deriv_fun_add, strictConvexSpace_iff, intervalIntegral.smul_integral_comp_sub_mul, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, MeasureTheory.Lp.norm_const', LSeries.term_convolution, HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, SchwartzMap.coeHom_injective, MeasureTheory.Measure.withDensityᵥ_absolutelyContinuous, TensorProduct.toLinearEquiv_commIsometry, MeasureTheory.integrable_enorm_iff, fderiv_fun_sum, NumberField.mixedEmbedding.negAt_apply_isComplex, Complex.hasFDerivAt_cpow, ProbabilityTheory.isGaussian_iff_charFun_eq, Orientation.inner_rotation_pi_div_two_left_smul, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, Submodule.norm_sq_eq_add_norm_sq_projection, MeasureTheory.integral_finset_sum, smul_sphere, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, ValueDistribution.logCounting_add_analyticOn, tangentCoordChange_comp, Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two, HasFDerivWithinAt.fun_neg, OnePoint.isBoundedAt_iff, LinearIsometry.norm_iteratedFDeriv_comp_left, HasStrictDerivAt.scomp_of_eq, HasStrictDerivAt.fun_finset_prod, fourierIntegral_eq_half_sub_half_period_translate, Submodule.orthogonal_gc, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2, fderiv_const_smul_of_invertible, IsLocalMax.hasFDerivAt_eq_zero, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, hasFDerivWithinAt_pow', ContDiffMapSupportedIn.structureMapLM_apply_withOrder, HasFTaylorSeriesUpToOn.continuousLinearMap_comp, MeasureTheory.condExpL1_add, hasStrictDerivAt_finCons', hasDerivWithinAt_taylorWithinEval_at_Icc, ProbabilityTheory.instIsGaussianDirac, dist_iteratedFDerivWithin_zero, curveIntegral_restrictScalars, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, HasFPowerSeriesOnBall.hasSum, Matrix.PosSemidef.toLinearMap₂'_zero_iff, Submodule.starProjection_isSymmetric, MeasureTheory.Lp.smul_zero, MeasureTheory.integrable_add_of_disjoint, convex_halfSpace_im_lt, HasFDerivAt.iterate, Submodule.starProjection_apply, Real.Angle.two_nsmul_eq_iff_eq_of_abs_toReal_lt_pi_div_two, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, Polynomial.rootSet_derivative_subset_convexHull_rootSet, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', VonNeumannAlgebra.mem_carrier, MemHolder.add, hasStrictDerivAt_finCons, HasFDerivAt.cexp, DoubleCentralizer.add_snd, intervalIntegral.integral_deriv_comp_smul_deriv, HasFDerivAt.ccos, MeasureTheory.norm_condExpInd_apply_le, hasFTaylorSeriesUpTo_top_iff', MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smul, norm_iteratedFDerivWithin_prod_le, fderivWithin_iteratedFDerivWithin, VectorField.leibniz_identity_mlieBracket, Orientation.rotation_neg_orientation_eq_neg, rescale_to_shell, ContinuousLinearMap.rayleighQuotient_add, ContinuousMultilinearMap.contDiff, hasFDerivAt_iff_tendsto, VonNeumannAlgebra.centralizer_centralizer, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, LSeriesSummable.sum, LinearMap.isSelfAdjoint_iff', FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm, ContinuousLinearMap.deriv_of_bilinear, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, HasFDerivWithinAt.log, Orientation.areaForm'_apply, VectorBundleCore.coe_coordChange, hasFDerivAtFilter_iff_hasDerivAtFilter, HasFDerivAt.clog, HurwitzZeta.hasSum_expZeta_of_one_lt_re, innerSLFlip_apply_apply, Continuous.cfcₙ_nnreal, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, Affine.Triangle.dist_orthocenter_reflection_circumcenter, iteratedDeriv_add, OrthogonalFamily.hasSum_linearIsometry, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, intervalIntegral.integral_smul_measure, signedDist_smul_of_pos, OnePoint.IsZeroAt.smul_iff, finrank_euclideanSpace, FormalMultilinearSeries.norm_compContinuousLinearMap_le, HasDerivAtFilter.star, HurwitzZeta.hasSum_int_completedHurwitzZetaOdd, LinearMap.IsPositive.isSelfAdjoint, MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum', ContinuousLinearMap.bilinear_hasTemperateGrowth, Orientation.oangle_add_left_eq_arcsin_of_oangle_eq_pi_div_two, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, differentiableOn_add_const_iff, DoubleCentralizer.norm_snd, Submodule.top_orthogonal_eq_bot, ConvexOn.sSup_of_nat_affine_eq, MeasureTheory.MemLp.integrable_enorm_pow, Submodule.fst_orthogonalDecomposition_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, HasDerivAtFilter.scomp, DirichletCharacter.summable_neg_log_one_sub_mul_prime_cpow, Submodule.orthogonal_orthogonal_eq_closure, AnalyticOn.const_smul, ContinuousLinearEquiv.nhds, EisensteinSeries.linear_left_summable, Submodule.smul_starProjection_singleton, PeriodPair.hasSumLocallyUniformly_weierstrassPExcept, Finset.analyticOn_fun_sum, contMDiff_smul, MeasureTheory.dist_convolution_le, DoubleCentralizer.nnnorm_fst, MeasureTheory.integral_add_compl, ContinuousLinearMap.isUnit_iff_isUnit_toLinearMap, MeasureTheory.Measure.addHaar_real_closedBall', intervalIntegral.integral_hasStrictFDerivAt, TensorProduct.ext_iff_inner_right, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, fderivWithin_mul_const', ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_smul, Complex.ofRealCLM_apply, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, LinearEquiv.isPositive_symm_iff, ContinuousMultilinearMap.curryFinFinset_apply_const, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, Module.Basis.exists_opNNNorm_le, aestronglyMeasurable_smul_const_iff, Orthonormal.inner_finsupp_eq_sum_right, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, cfcHom_real_eq_restrict, intervalIntegral.inv_smul_integral_comp_sub_div, hasDerivWithinAt_taylor_coeff_within, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_left, ContinuousLinearMap.toLinearMap_innerSL_apply, UniformConvexOn.convexOn, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, AnalyticOn.smul, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, NumberField.Units.regOfFamily_of_isMaxRank, Complex.two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable, Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_two, Module.Basis.equivFunL_apply, ContinuousAt.cfcₙ_nnreal, IsBoundedBilinearMap.differentiableAt, hasFDerivAt_list_prod_finRange', Function.Periodic.intervalIntegral_add_eq_add, LinearMap.IsSymmetric.adjoint_eq, Trivialization.continuousLinearEquivAt_apply', LinearMap.isPositive_sum, Submodule.starProjection_norm_le, HasStrictFDerivAt.neg, mfderiv_add, MeasureTheory.charFun_conv, HasGradientAt.hasFDerivAt, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, VectorField.mlieBracketWithin_add_left, LinearMap.hasDerivWithinAt, VectorField.lieBracket_add_left, summable_choose_mul_geometric_of_norm_lt_one, CStarMatrix.toCLM_apply_single, Differentiable.const_add, DifferentiableOn.add_iff_right, hasSum_two_pi_I_cauchyPowerSeries_integral, Real.fourier_fderiv, meromorphicOrderAt_add_of_top_left, FormalMultilinearSeries.comp_id, differentiableWithinAt_star_iff, ContinuousMultilinearMap.hasStrictFDerivAt, Submodule.inner_orthogonalProjection_eq_of_mem_right, fderivWithin_comp_smul_eq_fderivWithin_smul, sameRay_iff_norm_add, Function.HasTemperateGrowth.add, ContinuousMap.adjoin_id_eq_span_one_union, signedDist_vadd_left_swap, IsSelfAdjoint.spectrumRestricts, VectorBundleCore.instContMDiffVectorBundle, Submodule.isOrtho_iff_le, MeasureTheory.condExp_smul, hasFTaylorSeriesUpTo_succ_nat_iff_right, iteratedFDeriv_add, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, HasFDerivWithinAt.norm_sq, tsum_riemannZetaSummand, hasFDerivWithinAt_piLp, MeasureTheory.norm_weightedSMul_le, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableOn_piLp, ClosedSubmodule.iInf_orthogonal, Complex.summable_ofReal, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, ValueDistribution.characteristic_add_top_eventuallyLE, EuclideanGeometry.reflection_apply_of_mem, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, VectorBundle.continuousOn_coordChange', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ZSpan.coe_floor_self, HasFDerivWithinAt.smul_const, ContinuousLinearMap.mfderiv_eq, MeasureTheory.integral_posConvolution, hasFDerivAt_const_add_iff, Matrix.PosDef.commute_iff, MeasureTheory.LocallyIntegrableOn.smul_continuousOn, SchwartzMap.fourierInv_lineDerivOp_eq, VectorFourier.integral_fourierIntegral_swap, curveIntegralFun_trans_of_half_lt, RCLike.finrank_le_two, IsOpen.smul_sphere, EuclideanGeometry.Sphere.secondInter_smul, InnerProductSpace.harmonicAt_comp_CLE_iff, InnerProductSpace.coe_gramSchmidtBasis, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, ZMod.completedLFunction_eq, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, HasStrictFDerivAt.add, strongConcaveOn_iff_convex, iteratedFDeriv_eq_equiv_comp, sum_mul_eq_sub_integral_mul₀', MeasureTheory.condExpIndL1_smul, ZLattice.module_free, Unitization.norm_eq_sup, ProbabilityTheory.isGaussian_map, instIsZLatticeRealSpan, ContinuousMap.toLp_norm_eq_toLp_norm_coe, mfderivWithin_comp_of_preimage_mem_nhdsWithin, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, Fourier.fourierIntegral_const_smul, hasDerivAtFilter_iff_isLittleO, HasDerivAt.fun_const_smul, NormedSpace.expSeries_div_summable, intervalIntegral.sum_integral_adjacent_intervals, CStarMatrix.toCLM_apply_eq_sum, HasStrictFDerivAt.restrictScalars, HasFDerivAt.ccosh, summable_descFactorial_mul_geometric_of_norm_lt_one, Submodule.norm_starProjection, tsum_choose_mul_geometric_of_norm_lt_one, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, FormalMultilinearSeries.isLittleO_one_of_lt_radius, intervalIntegral.integral_finset_sum, HasDerivAtFilter.add_const, Meromorphic.fun_smul, MeasureTheory.weightedSMul_add_measure, Unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.Measure.NullMeasurableSet.const_smul, MDifferentiable.slash, WithCStarModule.pi_norm, Orientation.oangle_neg_left, MeasureTheory.eLpNormEssSup_smul_measure, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, HasFDerivAt.abs_of_neg, ContDiffMapSupportedIn.locallyConvexSpace, hasFDerivWithinAt_comp_smul_smul_iff, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, fourierCoeff_toLp, ContinuousLinearMap.rayleighQuotient_le_norm, differentiableAt_const_add_iff, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, ContMDiffWithinAt.smul, OrthogonalFamily.summable_of_lp, ProbabilityTheory.IsGaussian.charFunDual_eq, Complex.tsum_exp_neg_quadratic, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', HasFPowerSeriesAt.apply_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', InnerProductGeometry.norm_div_sin_angle_add_of_inner_eq_zero, iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, norm_inner_eq_norm_tfae, Real.circleAverage_def, curveIntegral_fun_add, iteratedDeriv_vcomp_three, intervalIntegral.integral_smul, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, CuspForm.coe_translate, fderivWithin_fun_pow, RCLike.sqrt_map, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, iteratedFDerivWithin_two_apply', MeasureTheory.integrable_add_iff_integrable_right', HasDerivAt.const_smul, OpenPartialHomeomorph.MDifferentiable.comp_symm_deriv, signedDist_vadd_right, UniqueDiffWithinAt.smul_iff, HasStrictFDerivAt.arctan, curveIntegral_fun_neg, hasMFDerivAt_inl, PeriodPair.derivWeierstrassP_sub_coe, RCLike.inner_tmul_eq, deriv.scomp, HasStrictDerivAt.add, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAtFilter.const_smul, inr_comp_cfcₙHom_eq_cfcₙAux, not_sameRay_iff_of_norm_eq, differentiableAt_finCons, InnerProductSpace.gramSchmidt_triangular, Submodule.starProjection_map_apply, IsMIntegralCurveAt.hasMFDerivAt, HasFDerivAt.multiset_prod, MemHolder.smul, LinearMap.star_eq_adjoint, DifferentiableOn.const_add, PMF.integral_eq_tsum, SpectrumRestricts.real_iff, Matrix.l2_opNNNorm_mul, contDiffWithinAt_succ_iff_hasFDerivWithinAt', DiffContOnCl.circleAverage_smul_div, lp.ext_continuousAddMonoidHom_iff, Complex.cosh_eq_tsum, IsLocalFrameOn.eventually_eq_sum_coeff_smul, Filter.EventuallyEq.iteratedFDerivWithin', contDiffOn_succ_iff_hasFDerivWithinAt, HasFDerivAt.mul_const, fderivWithin_add_const, VectorField.mlieBracket_add_right, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', intervalIntegral.integral_comp_div, InnerProductGeometry.norm_div_tan_angle_add_of_inner_eq_zero, AddCircle.ergodic_nsmul, ContinuousLinearMap.sSup_sphere_eq_norm, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, DoubleCentralizer.neg_toProd, FormalMultilinearSeries.radius_unshift, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, Orientation.oangle_sign_smul_left, Matrix.isPositive_toEuclideanLin_iff, ContDiffPointwiseHolderAt.continuousLinearMap_comp, HasDerivAtFilter.scomp_of_eq, ContinuousWithinAt.cfcₙ_nnreal, MeasureTheory.Integrable.bdd_smul, TensorProduct.enorm_tmul, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, HasDerivAt.scomp_hasDerivWithinAt_of_eq, ContinuousLinearMap.norm_inr, MeasureTheory.setAverage_eq, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, Submodule.starProjection_bot, ZSpan.isAddFundamentalDomain', continuousMultilinearCurryFin0_apply, CStarMatrix.ofMatrix_eq_ofMatrixL, EuclideanGeometry.oangle_add_oangle_add_oangle_eq_pi, HasFDerivWithinAt.const_add, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, HasFDerivWithinAt.mapsTo_tangent_cone, ValueDistribution.logCounting_add_top_eventuallyLE, NormedSpace.exp_sum, FormalMultilinearSeries.radius_neg, VectorPrebundle.pretrivialization_linear', HasFDerivWithinAt.mul_const', HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, homeomorphUnitSphereProd_symm_apply_coe, ProbabilityTheory.covarianceBilin_self_nonneg, HasStrictFDerivAt.iterate, taylorWithinEval_succ, MeasureTheory.IsFundamentalDomain.integral_eq_tsum'', Submodule.orthogonal_closure, HasDerivWithinAt.add, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, TensorProduct.inner_assoc_assoc, ContinuousMultilinearMap.curryMidEquiv_apply, MDifferentiableOn.sum, StrictConvexSpace.strictConvex_closedBall, Real.fourier_eq, ApproximatesLinearOn.lipschitz_sub, EuclideanQuadrant.convex, ContinuousMultilinearMap.iteratedFDeriv_eq, FormalMultilinearSeries.le_mul_pow_of_radius_pos, ZSpan.norm_fract_le, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, iteratedDeriv_const_add, Real.dimH_of_nonempty_interior, ContinuousLinearMap.analyticOnNhd_bilinear, ZSpan.fundamentalDomain_reindex, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', Orientation.oangle_sign_smul_add_smul_smul_add_smul, ProbabilityTheory.indepFun_iff_charFunDual_prod', Affine.Simplex.direction_mongePlane, DoubleCentralizer.algebraMap_snd, MeasureTheory.Measure.integral_comp_mul_left, ContinuousOn.continuousOn_iteratedFDerivWithin, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, ProbabilityTheory.covarianceBilinDual_self_eq_variance, RCLike.wInner_cWeight_const_left, HurwitzZeta.hasSum_int_sinKernel, ProperCone.innerDual_union, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, LinearMap.le_def, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, iteratedFDerivWithin_succ_apply_left, Orientation.areaForm_comp_linearIsometryEquiv, HasFDerivAtFilter.fun_const_smul, MeasureTheory.IntegrableAtFilter.enorm, iteratedFDerivWithin_add_apply, hasStrictFDerivAt_norm_sq, MeasureTheory.condExp_add, Submodule.starProjection_unit_singleton, EuclideanGeometry.angle_const_add, intervalIntegral.integral_Iio_add_Ici, SchwartzMap.fourier_evalCLM_eq, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₂, LinearMap.adjoint_toSpanSingleton, DoubleCentralizer.one_snd, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, OrthonormalBasis.coe_toBasis, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Differentiable.add_iff_left, RCLike.norm_nsmul, BoxIntegral.Integrable.sum_integral_congr, DifferentiableAt.fun_const_smul, contDiffOn_infty_iff_fderiv_of_isOpen, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, Orientation.oangle_sign_smul_sub_left, ContinuousLinearEquiv.analyticOn, fderiv_pow_ring', QuasispectrumRestricts.real_iff, MeasureTheory.memL1_smul_of_L1_withDensity, analyticAt_iff_analytic_fun_smul, differentiableAt_piLp, Submodule.reflection_sub, MeasureTheory.Measure.toSphere_apply', TemperedDistribution.instLineDerivSMulReal, iteratedDeriv_comp_neg, cot_series_rep, SchwartzMap.evalCLM_apply_apply, HasFDerivAtFilter.fun_sub, OpenPartialHomeomorph.MDifferentiable.mfderiv_bijective, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, ClosedSubmodule.mem_orthogonal, DiffContOnCl.smul_const, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Filter.Tendsto.cfcₙ_nnreal, tendsto_integral_exp_smul_cocompact_of_inner_product, iteratedFDerivWithin_prodMk, LinearMap.re_inner_adjoint_mul_self_nonneg, differentiable_pi, contDiff_smul_const, MeasureTheory.integral_biUnion_eq_sum_powerset, HasFTaylorSeriesUpToOn.fderivWithin, CStarMatrix.toCLM_apply, ContinuousLinearEquiv.hasFDerivWithinAt, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, InnerProductGeometry.angle_add_lt_pi_div_two_of_inner_eq_zero, BoxIntegral.integralSum_biUnionTagged, Orientation.oangle_rotation_right, DoubleCentralizer.algebraMap_toProd, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, HasDerivWithinAt.fun_const_smul, LinearMap.isPositive_self_comp_adjoint, EisensteinSeries.isBoundedAtImInfty_eisensteinSeries_SIF, RCLike.hasSum_conj, differentiableAt_norm_smul, instModuleFinite_of_discrete_submodule, FormalMultilinearSeries.id_comp, circleIntegral.integral_smul, Trivialization.baseSet_continuousLinearMap, ContinuousLinearMap.norm_map_tail_le, Real.circleAverage_eq_integral_add, MeasureTheory.integrable_enorm_rpow_iff, HasFPowerSeriesAt.restrictScalars, contMDiffOn_symm_coordChangeL, HasFDerivWithinAt.sinh, tangentBundleCore_coordChange_model_space, intervalIntegral.inv_smul_integral_comp_div_sub, Module.Basis.prod_parallelepiped, ContinuousLinearMap.instStarModuleId, ContDiff.smul_const, iteratedFDerivWithin_comp_add_right, lp.coeFn_sum, Polynomial.hasFDerivAt_aeval, contMDiffAt_hom_bundle, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDeriv_right, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, DoubleCentralizer.instIsCentralScalar, InnerProductGeometry.angle_add_pos_of_inner_eq_zero, ContDiffAt.restrictScalars_iteratedFDeriv, VectorField.leibniz_identity_mlieBracket_apply, continuous_tsum, InnerProductGeometry.tan_angle_add_of_inner_eq_zero, MeasureTheory.MemLp.continuousLinearMap_comp, ProbabilityTheory.IsGaussian.memLp_dual, norm_fderiv_iteratedFDeriv, curveIntegralFun_neg, MeasureTheory.Lp.norm_constL_le, PeriodPair.weierstrassP_add_coe, meromorphicOrderAt_smul, ProbabilityTheory.covarianceBilinDual_self_nonneg, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, hasFDerivAtFilter_snd, hasFDerivAt_pow, HasFDerivAt.log, TemperedDistribution.fourier_lineDerivOp_eq, convexHull_sphere_eq_closedBall, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', Matrix.l2_opNNNorm_def, hasMFDerivAt_const, MeasureTheory.charFunDual_map_const_add, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, Real.Angle.sign_two_nsmul_eq_sign_iff, MeasureTheory.charFunDual_map_add_const, ContinuousLinearMap.integrable_comp, ContinuousLinearMap.adjointAux_adjointAux, HasStrictFDerivAt.const_sub, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, MeasureTheory.integral_tsum_of_summable_integral_norm, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, HasStrictDerivAt.const_add, LinearMap.polar_gc, Orientation.rotation_trans, Meromorphic.fun_add, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ZSpan.span_top, ModularForm.coeHom_apply, analyticOrderAt_add_eq_right_of_lt, hasFDerivAt_single, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, MeasureTheory.condExpL2_indicator_of_measurable, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, Complex.hasDerivAt_logTaylor, ProbabilityTheory.covarianceBilin_real_self, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, LinearMap.eq_adjoint_iff, MeasureTheory.Lp.add_smul, MeasureTheory.martingalePart_add_predictablePart, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, deriv_smul, nnnorm_cfcₙ_nnreal_lt_iff, VectorField.mpullbackWithin_smul_apply, ModularForm.slash_action_eq'_iff, PositiveLinearMap.gnsStarAlgHom_apply, Real.fourier_iteratedDeriv, DifferentiableOn.fun_add_iff_right, MeasureTheory.Integrable.smul_of_top_left, MeasureTheory.integral_comp_rpow_Ioi, HasFDerivWithinAt.iterate, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, MeasureTheory.condExp_ae_eq_condExpL1CLM, HasMFDerivWithinAt.sum, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, OrthonormalBasis.tensorProduct_apply', ImplicitFunctionData.hasStrictFDerivAt, NumberField.mixedEmbedding.span_latticeBasis, ContinuousLinearMap.integral_comp_id_comm', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, HasFTaylorSeriesUpToOn.hasFDerivAt, mfderiv_prod_right, WeakFEPair.hf_zero, LinearIsometry.norm_toContinuousLinearMap_comp, hasStrictFDerivAt_inv, BoundedContinuousFunction.coeFn_toLp, hasFiniteFPowerSeriesAt_const, continuous_clm_apply, MeasureTheory.Integrable.toL1_smul', ContinuousLinearMap.hasTemperateGrowth, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, TestFunction.coe_add, ArithmeticFunction.IsMultiplicative.eulerProduct, Orientation.oangle_sub_right_smul_rotation_pi_div_two, MeasureTheory.LocallyIntegrable.integrable_smul_left_of_hasCompactSupport, LinearMap.isPositive_iff_complex, VectorFourier.fourierSMulRight_apply, ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, HasFDerivWithinAt.restrictScalars, DoubleCentralizer.pow_toProd, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, stereographic_neg_apply, StrongConcaveOn.strictConcaveOn, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, MeasureTheory.Measure.addHaar_image_linearMap, MeasureTheory.withDensityᵥ_neg, IsLocalFrameOn.coeff_apply_of_notMem, isSelfAdjoint_starProjection, InnerProductSpace.gramSchmidt_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Real.Angle.sin_add, VectorBundleCore.localTriv_coordChange_eq, ContinuousMultilinearMap.uncurryRight_apply, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.condExpL1CLM_indicatorConst, mfderivWithin_zero_of_not_mdifferentiableWithinAt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, fderiv_inv, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, differentiableWithinAt_iff_restrictScalars, Differentiable.prodMk, NormedSpace.normalize_smul_of_neg, ModelWithCorners.hasMFDerivWithinAt, derivWithin_comp_mul_left, MeasureTheory.L1.nnnorm_Integral_le_one, HasFDerivAt.exp, ContDiffWithinAt.laplacianWithin_CLM_comp_left, Manifold.riemannianEDist_def, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, HasFDerivAtFilter.prodMk, LinearIsometry.norm_iteratedFDerivWithin_comp_left, curveIntegralFun_fun_zero, derivWithin_fun_smul, MeasureTheory.integral_fun_norm_addHaar, HasFDerivAt.fun_pow', MeasureTheory.setIntegral_ge_of_const_le, HasDerivWithinAt.scomp_hasDerivAt_of_eq, ZSpan.map, DifferentiableAt.prodMk, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, MeasureTheory.weightedSMul_smul, HasMFDerivWithinAt.mul', ContinuousLinearEquiv.norm_symm_pos, MeasureTheory.integral_continuousLinearMap_prod, Submodule.sInf_orthogonal, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, UnitAddTorus.hasSum_mFourier_series_L2, ContinuousMultilinearMap.cpolynomialAt, Trivialization.continuousLinearMap_apply, MeasureTheory.Lp.norm_const, ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, curveIntegralFun_def', NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, WithCStarModule.pi_inner, Orientation.areaForm_comp_rightAngleRotation, AnalyticAt.add, MeasureTheory.lpNorm_nsmul, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Submodule.isOrtho_span, contDiffOn_fderiv_coord_change, ZSpan.exist_unique_vadd_mem_fundamentalDomain, HasFDerivAtFilter.fun_add, ZSpan.fundamentalDomain_subset_parallelepiped, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, sum_mem_ball_of_strictConvexSpace, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, HasFDerivWithinAt.hasDerivWithinAt, iteratedDerivWithin_const_smul, HasStrictDerivAt.smul_const, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, DifferentiableOn.add_iff_left, HasFiniteFPowerSeriesOnBall.neg, RCLike.conj_tsum, sum_mul_eq_sub_integral_mul₁, HasFDerivAtFilter.comp, MeasureTheory.average_union_mem_segment, PadicInt.continuous_addChar_of_value_at_one, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d, iteratedFDeriv_zero_apply, DifferentiableWithinAt.smul_const, LinearMap.polar_weak_closed, ContinuousLinearMap.le_def, Real.Angle.two_zsmul_eq_iff, coe_lpPiLpₗᵢ, MeasureTheory.rnDeriv_ae_eq_condExp, VectorBundleCore.localTriv_apply, Orientation.oangle_add_cyc3, MeasureTheory.integrable_add_const_iff, LinearMap.isPositive_zero, DoubleCentralizer.zero_fst, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, fderiv_update, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, ValueDistribution.characteristic_sum_top_le, TangentBundle.contMDiffVectorBundle, BoxIntegral.BoxAdditiveMap.toSMul_apply, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, fdifferential_comp, IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt, CStarMatrix.mul_entry_mul_eq_inner_toCLM, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, homeomorphSphereProd_symm_apply_coe, hom_trivializationAt, DifferentiableOn.fun_sum, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, HasFDerivAt.smul_const, MeasureTheory.integrable_tilted_iff, ContinuousLinearMap.norm_iteratedFDeriv_comp_left, ContinuousLinearMap.norm_uncurryMid, QuadraticForm.equivalent_sum_squares, Real.Angle.two_nsmul_toReal_eq_two_mul_add_two_pi, RCLike.wInner_const_right, ProbabilityTheory.covarianceOperator_inner, InnerProductSpace.rankOne_def', EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one, ContinuousLinearMap.uncurryLeft_norm, Real.Angle.sign_pi_add, hasFDerivAtFilter_fst, Submodule.isClosed_orthogonal, differentiableWithinAt_comp_add_right, mellin_eq_fourierIntegral, Orientation.inner_rightAngleRotation_left, MeasureTheory.AEStronglyMeasurable.fourierPowSMulRight, HasFDerivAt.comp_hasDerivWithinAt, Orientation.cos_oangle_add_right_of_oangle_eq_pi_div_two, HasFDerivWithinAt.multilinear_comp, HasFPowerSeriesOnBall.tendstoUniformlyOn', Pretrivialization.continuousLinearMap.isLinear, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, ProbabilityTheory.iIndepFun_iff_charFunDual_pi, InnerProductGeometry.angle_eq_angle_add_angle_iff, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, HurwitzZeta.hasSum_nat_completedSinZeta, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, EulerProduct.eulerProduct_hasProd_mulIndicator, HasFTaylorSeriesUpToOn.compContinuousLinearMap, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_top, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, MeromorphicAt.add, contDiffAt_succ_iff_hasFDerivAt, fderivWithin_const_smul_of_invertible, ContinuousLinearMap.IsPositive.inner_nonneg_left, Real.fourierIntegral_eq', Real.circleAverage_fun_smul, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, HasFDerivAt.inner, LinearMap.adjoint_lTensor, intervalIntegral.integral_comp_smul_deriv', EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Complex.hasSum_taylorSeries_on_emetric_ball, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, MeasureTheory.integrable_withDensity_iff_integrable_smul, MeasureTheory.Integrable.convolution_integrand, HasFDerivAtFilter.star, BoxIntegral.integralSum_fiberwise, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, LinearMap.toMatrixOrthonormal_apply, hasFPowerSeriesOn_cauchy_integral, MeasureTheory.condExpL1CLM_lpMeas, Module.Basis.coe_parallelepiped, Submodule.isSymmetricProjection_starProjection, ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, contDiffOn_tsum_cexp, convex_halfSpace_re_ge, OrthogonalFamily.inner_sum, EuclideanGeometry.inversion_def, InnerProductSpaceable.parallelogram_identity, LinearMap.IsPositive.smul_of_nonneg, ValueDistribution.characteristic_add_top_le, ProbabilityTheory.covarianceBilin_apply_pi, PeriodPair.latticeBasis_one, HasStrictFDerivAt.fun_sub, SchwartzMap.integral_bilinear_laplacian_right_eq_left, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, iteratedDeriv_fun_const_smul_field, EuclideanSpace.inner_eq_star_dotProduct, ZLattice.covolume_eq_det_mul_measureReal, FormalMultilinearSeries.compAlongComposition_norm, Complex.circleIntegral_sub_center_inv_smul_eq_of_differentiable_on_annulus_off_countable, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', intervalIntegral.integral_comp_sub_mul, ContinuousLinearMap.isOpen_injective, ContDiff.continuous_iteratedFDeriv', OrthonormalBasis.sum_repr_symm, HasFDerivAt.const_mul, homeomorphUnitSphereProd_apply_fst_coe, Real.Angle.two_nsmul_eq_pi_iff, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, PeriodPair.weierstrassP_sub_coe, VectorField.mlieBracket_add_left, NormedSpace.exp_nsmul, ContDiffAt.laplacian_add_nhds, PadicInt.fwdDiff_iter_le_of_forall_le, Orientation.inner_smul_rotation_pi_div_two_right, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, ZSpan.instDiscreteTopologySubtypeMemSubmoduleIntSpanRangeCoeBasisRealOfFinite, Valued.integer.coe_span_singleton_eq_closedBall, UniformConcaveOn.concaveOn, Complex.conjCLE_nnorm, differentiable_const_add_iff, Pi.orthonormalBasis.toBasis, hasSum_geom_series_inverse, HasStrictDerivAt.complexToReal_fderiv', LinearIsometry.map_starProjection, IsLocalFrameOn.coeff_apply_zero_at, TangentBundle.continuousLinearMapAt_trivializationAt, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, fourierIntegral_gaussian_innerProductSpace, MeasureTheory.dist_convolution_le', le_analyticOrderAt_add, Real.circleAverage_smul, HasFDerivWithinAt.rpow_const, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, VectorField.lieBracket_const_smul_right, Asymptotics.IsBigO.hasFDerivWithinAt, LinearMap.continuous_of_nonzero_on_open, Submodule.inf_orthogonal, curveIntegral_trans, MeasureTheory.SignedMeasure.toComplexMeasure_apply_re, MeasureTheory.weightedSMul_union, hasSum_coe_mul_geometric_of_norm_lt_one, abs_signedDist_eq_dist_iff_vsub_mem_span, InnerProductSpace.innerSL_norm, MeasureTheory.uniformIntegrable_average, hasFDerivAt_exp_zero, fderiv_add, MeasureTheory.indicatorConstLp_add, SchwartzMap.le_seminorm, IsLocalDiffeomorph.mfderivToContinuousLinearEquiv_coe, DoubleCentralizer.nnnorm_fst_eq_snd, WithCStarModule.inner_single_right, VectorField.leibniz_identity_lieBracketWithin_of_isSymmSndFDerivWithinAt, Unitization.norm_def, EisensteinSeries.qExpansion_identity_pnat, Submodule.IsOrtho.le, Submodule.reflection_map, InnerProductSpace.span_gramSchmidt_Iic, MDifferentiableAt.smul, LinearMap.IsSymmetric.direct_sum_isInternal, UpperHalfPlane.petersson_slash_SL, Submodule.det_reflection, HasStrictDerivAt.const_smul, ContinuousLinearMap.measurable_apply, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, HasDerivAt.fun_sum, Orientation.kahler_rotation_left', MeasureTheory.setIntegral_rnDeriv_smul', zeta_eq_tsum_one_div_nat_add_one_cpow, IsBoundedBilinearMap.fderiv, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, ContinuousAlternatingMap.curryLeft_same, NumberField.mixedEmbedding.euclidean.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMultilinearMap.curryRight_apply, TensorProduct.inner_comm_comm, ContDiff.fourierPowSMulRight, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Submodule.inner_orthogonalProjection_eq_of_mem_left, ContMDiffWithinAt.mfderivWithin, convex_halfSpace_im_ge, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, HasFPowerSeriesOnBall.uniform_geometric_approx', intervalIntegral.smul_integral_comp_mul_left, Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent, hasSum_choose_mul_geometric_of_norm_lt_one', ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, HasFDerivAt.sinh, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, eventually_norm_symmL_trivializationAt_comp_self_lt, ContinuousLinearMap.IsPositive.add, HasFPowerSeriesWithinOnBall.comp_sub, not_sameRay_iff_abs_lt_norm_sub, HasFDerivAt.comp_hasDerivWithinAt_of_eq, ProbabilityTheory.IsGaussian.integral_dual, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', uniformConcaveOn_zero, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, CurveIntegrable.fun_neg, Orientation.abs_areaForm_le, PadicInt.hasSum_mahlerSeries, ZLattice.exists_forall_abs_repr_le_norm, ContDiffWithinAt.laplacianWithin_CLM_comp_left_nhds, SummableLocallyUniformlyOn.of_locally_bounded_eventually, mfderivWithin_const, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, hasStrictFDerivAt_pow', MeasureTheory.Measure.addHaar_image_continuousLinearEquiv, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, VectorPrebundle.exists_coordChange, DoubleCentralizer.one_fst, InnerProductGeometry.angle_smul_smul, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticWithinAt.comp_sub, MeasureTheory.integral_add_compl₀, MeasureTheory.Lp.simpleFunc.toLp_zero, ModularForm.SL_slash_def, CFC.log_pow', HasDerivAtFilter.const_add, PeriodPair.hasSum_weierstrassP, convex_halfSpace_re_lt, linearIndependent_of_ne_zero_of_inner_eq_zero, InnerProductGeometry.cos_angle_add_mul_norm_of_inner_eq_zero, MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral, ModelWithCorners.convex_range, Quaternion.summable_coe, ContDiffMapSupportedIn.postcompCLM_apply, TemperedDistribution.smulLeftCLM_add, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, IsContDiffImplicitAt.bijective, PeriodPair.coeff_weierstrassPSeries, eHolderNorm_nsmul, ProbabilityTheory.covarianceBilin_apply_basisFun, ContDiffBump.integral_normed_smul, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, PeriodPair.isOpen_compl_lattice_diff, ProbabilityTheory.instIsGaussianMapHAdd_1, Complex.restrictScalars_toSpanSingleton, Orientation.oangle_sign_smul_right, Orientation.normSq_kahler, ContinuousLinearEquiv.comp_right_differentiableOn_iff, OpenPartialHomeomorph.MDifferentiable.mfderiv_surjective, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, Complex.hasSum_cos', Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, ProbabilityTheory.IndepFun.charFunDual_map_add_eq_mul, PeriodPair.derivWeierstrassP_coe, HasFPowerSeriesOnBall.tendsto_partialSum, maximal_orthonormal_iff_orthogonalComplement_eq_bot, SmoothBumpFunction.contMDiff_smul, hasMFDerivWithinAt_const, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₁, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', MeasureTheory.Integrable.withDensityᵥ_trim_absolutelyContinuous, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, HasFPowerSeriesOnBall.factorial_smul, HasFDerivAt.const_smul, HasFDerivAt.hasLineDerivAt, derivWithin_pi, NumberField.mixedEmbedding.negAt_symm, HasFPowerSeriesWithinAt.prod, HasDerivWithinAt.pow', VectorFourier.contDiff_fourierIntegral, ContMDiffMap.coe_smul, Memℓp.star_iff, iteratedFDeriv_succ_apply_right, Asymptotics.IsEquivalent.const_add_of_norm_tendsto_atTop, fourierSubalgebra_coe, Submodule.isOrtho_top_right, FormalMultilinearSeries.leftInv_coeff_one, AnalyticOn.add, Matrix.exp_conj, ContinuousLinearMap.hasMFDerivAt, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, TensorProduct.assocIsometry_apply, sameRay_iff_inv_norm_smul_eq, Matrix.toLin_conjTranspose, mdifferentiableOn_continuousLinearMapCoordChange, Orthonormal.inner_finsupp_eq_sum_left, BoxIntegral.integral_smul, hasFPowerSeriesAt_pi_iff, MeasureTheory.eLpNorm'_const_smul, ProbabilityTheory.integral_tilted_mul_eq_mgf, MeasureTheory.integral_simpleFunc_larger_space, MeasureTheory.IsAddFundamentalDomain.measure_eq_card_smul_of_vadd_ae_eq_self, ContDiffBump.apply, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, Orientation.oangle_sign_add_smul_left, HasFDerivAtFilter.add, HasFDerivAt.lim_real, differentiableAt_add_const_iff, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, LinearIsometryEquiv.rTensor_apply, AnalyticAt.comp_sub, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, MeasureTheory.withDensityᵥ_apply, HasFDerivAt.rpow_const, coord_norm', Trivialization.apply_eq_prod_continuousLinearEquivAt, ProperCone.relative_hyperplane_separation, HasFDerivWithinAt.comp, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, Complex.exp_sub_sum_range_succ_isLittleO_pow, tendstoUniformlyOn_tsum_of_cofinite_eventually, contDiff_clm_apply_iff, HasFPowerSeriesAt.hasFDerivAt, StrictConvex.linearIsometry_preimage, lp.summable_inner, hasStrictFDerivAt_finCons', analyticAt_iff_analytic_smul, spec_cfcₙAux, hasSum_sum_range_mul_of_summable_norm, MeromorphicOn.sum, ClosedSubmodule.orthogonal_eq_top_iff, eventually_enorm_mfderiv_extChartAt_lt, UniformConcaveOn.strictConcaveOn, QuadraticMap.lineDifferentiableAt, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, ContinuousOn.cfcₙ_nnreal', hasFDerivAt_exp_smul_const, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, coe_addEquiv_lpBCF_symm, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, hasFDerivAt_jacobiTheta₂, Orientation.rotation_eq_matrix_toLin, MeasureTheory.AEStronglyMeasurable.fourierSMulRight, FormalMultilinearSeries.zero_radius, oneTangentSpaceIcc_def, intervalIntegral.integral_const_of_cdf, dist_birkhoffSum_apply_birkhoffSum, DifferentiableWithinAt.const_smul, MeasureTheory.ConvolutionExistsAt.add_distrib, IsSymmSndFDerivAt.iteratedFDeriv_cons, HasStrictFDerivAt.const_rpow, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, intervalIntegral.integral_const', InnerProductSpaceable.add_left, Complex.differentiable_on_off_countable_deriv_eq_smul_circleIntegral, ContinuousLinearMap.comp_analyticOn, MeasureTheory.integral_sum_measure, ModelWithCorners.hasMFDerivWithinAt_symm, intervalIntegral.integral_smul_deriv_eq_deriv_smul, Bundle.Trivial.trivialization.isLinear, DifferentiableAt.fun_sum, ContinuousLinearMap.coeFn_compLpL, hasStrictFDerivAt_list_prod_attach', VectorField.mlieBracketWithin_add_right, NumberField.mixedEmbedding.volume_negAt_plusPart, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, CircleIntegrable.sum, ClosedSubmodule.mem_orthogonal_iff, Orientation.oangle_sub_left_smul_rotation_pi_div_two, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, DoubleCentralizer.sub_fst, tangentConeAt_real_subset_isRCLikeNormedField, ProperCone.innerDual_insert, range_deriv_subset_closure_span_image, Module.Basis.parallelepiped_eq_map, ContDiffMapSupportedIn.norm_apply_le_seminorm, integral_withDensity_eq_integral_toReal_smul, contDiffOn_clm_apply, ZLattice.covolume.tendsto_card_div_pow', LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, FormalMultilinearSeries.id_apply_zero, Submodule.starProjection_orthogonal, OnePoint.IsBoundedAt.smul_iff, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, ContinuousLinearMap.instNonnegSpectrumClassRealId, HasStrictFDerivAt.cos, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, LinearMap.mem_polar_singleton, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, fderiv_comp_add_right, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasDerivAtFilter_iff_tendsto, NormedSpace.expSeries_div_summable_of_mem_ball, ContinuousLinearMap.integral_comp_commSL, RCLike.ofRealCLM_norm, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_measure_nhdsWithin_pos, Matrix.IsHermitian.eigenvectorUnitary_coe, Complex.sqrt_map, InnerProductSpace.HarmonicOnNhd.const_smul, MeasureTheory.setIntegral_indicatorConstLp, HasFDerivAt.fun_sum, stereographic_target, ContDiff.smul, Unitary.norm_map, ProbabilityTheory.isGaussian_conv, LinearMap.instStarModuleId, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, Submodule.starProjection_apply_mem, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, MeasureTheory.tendsto_integral_smul_of_tendsto_average_norm_sub, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_pos, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasFDerivWithinAt.arsinh, MeasureTheory.convolution_lsmul_swap, Orientation.oangle_add_right_smul_rotation_pi_div_two, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, not_sameRay_iff_norm_add_lt, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, Quaternion.tsum_coe, Orientation.inner_smul_rotation_pi_div_two_left, HasFDerivAt.add_const, BoxIntegral.hasIntegral_const, ZLattice.volume_image_eq_volume_div_covolume, hasDerivAtFilter_finCons', MeasureTheory.Supermartingale.smul_nonpos, mfderivWithin_prodMap, LinearIsometry.toLinearMap_rTensor, ContinuousMap.toLp_injective, hasStrictFDerivAt_fst, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, setIntegral_withDensity_eq_setIntegral_smul, DoubleCentralizer.pow_fst, MeasureTheory.memLp_add_of_disjoint, tendsto_logDeriv_euler_cot_sub, SlashInvariantForm.coe_trace, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, MeromorphicAt.meromorphicTrailingCoeffAt_smul, fderiv_smul_const, hasDerivWithinAt_finCons', Euclidean.closedBall_eq_preimage, mellin_comp_rpow, Matrix.isHermitian_iff_isSymmetric, MeasureTheory.Submartingale.sum_smul_sub', NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, mfderiv_sumInr, support_iteratedFDeriv_subset, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, hasStrictFDerivAt_finset_prod, Submodule.le_orthogonal_iff_le_orthogonal, intervalIntegral.smul_integral_comp_mul_add, Complex.exp_sub_sum_range_isBigO_pow, curveIntegral_zero, Function.HasTemperateGrowth.fun_add, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, EisensteinSeries.summable_linear_sub_mul_linear_add, HasDerivWithinAt.comp_hasFDerivAt, Submodule.mem_orthogonal, exists_dual_vector', MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, FormalMultilinearSeries.apply_eq_prod_smul_coeff, DifferentiableWithinAt.fun_smul, Orientation.kahler_rightAngleRotation_left, HasDerivWithinAt.scomp, hasFPowerSeriesWithinAt_pi_iff, CircleIntegrable.const_fun_smul, MeasureTheory.eLpNorm_const_smul, MeasureTheory.hasSum_integral_measure, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, hasDerivAt_iff_isLittleO_nhds_zero, HasFDerivAt.le_of_lip', SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, HurwitzZeta.hasSum_nat_hurwitzZetaOdd, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, HasMFDerivAt.sub, InnerProductSpace.toMatrix_rankOne, derivWithin_fun_sum, eventually_norm_symmL_trivializationAt_lt, differentiableAt_comp_add_left, cfcₙHom_real_eq_restrict, PeriodPair.latticeEquiv_symm_apply, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, AnalyticAt.fun_add, hasFDerivAtFilter_finCons, MeasureTheory.ComplexMeasure.im_apply, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, HasStrictDerivAt.fun_const_smul, MeasureTheory.Measure.addHaar_smul_of_nonneg, EisensteinSeries.tsum_tsum_symmetricIco_sub_eq, OrthonormalBasis.reindex_toBasis, Real.Angle.sin_eq_iff_eq_or_add_eq_pi, MeasureTheory.Lp.instIsBoundedSMul, RCLike.ofReal_expect, Orientation.oangle_smul_right_of_neg, ContinuousMap.coe_toLp, Real.fourierIntegral_convergent_iff, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, HasFDerivAt.sin, continuousMultilinearCurryLeftEquiv_apply, Orientation.abs_areaForm_of_orthogonal, Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two, HasFPowerSeriesAt.deriv, ModularForm.summable_logDeriv_one_sub_eta_q, LinearIsometryEquiv.symm_rTensor, mfderiv_snd, HasMFDerivWithinAt.add, LSeries_sum, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, LinearMap.eq_adjoint_iff_basis, HasCompactSupport.iteratedFDeriv, HasFDerivAt.csin, TensorProduct.commIsometry_symm, isStarProjection_starProjection, MeasureTheory.integral_rnDeriv_smul, unitary.norm_map, Set.EqOn.iteratedFDerivWithin, ContinuousLinearEquiv.fderiv, fourierCoeff_eq_intervalIntegral, CStarAlgebra.conjugate_le_norm_smul', ContMDiffWithinAt.mfderivWithin_apply, SchwartzMap.tsupport_fderivCLM_subset, ContDiffAt.smul_const, ContinuousLinearEquiv.mdifferentiableWithinAt, hfdifferential_apply, ContinuousLinearMap.NonlinearRightInverse.right_inv', ContinuousLinearEquiv.mdifferentiable, AnalyticAt.exists_eq_sum_add_pow_mul, iteratedDerivWithin_comp_const_smul, ContinuousLinearMap.integral_comp_L1_comm, curveIntegralFun_add, ContinuousLinearMap.opNorm_zero_iff, Complex.taylorSeries_eq_on_eball, MeasureTheory.Measure.map_addHaar_smul, InnerProductSpace.gramSchmidt_def'', AnalyticOnNhd.fderiv, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_two, HasFDerivWithinAt.comp_hasDerivWithinAt, PMF.integral_eq_sum, iteratedDerivWithin_mul, HasFDerivWithinAt.add_const, MeasureTheory.average_add_measure, Orientation.kahler_rotation_left, HasFDerivWithinAt.sub, IsOpen.exists_eq_add_of_deriv_eq, MeasureTheory.Integrable.withDensityᵥ_trim_eq_integral, HasFDerivAtFilter.fun_neg, ModularFormClass.hasSum_qExpansion_of_abs_lt, SchwartzMap.smulLeftCLM_neg, intervalIntegral.inv_smul_integral_comp_div, MeasureTheory.withDensityᵥ_add, ContinuousLinearMap.opNNNorm_mul, Complex.conjCLE_enorm, ContinuousLinearEquiv.comp_differentiableAt_iff, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, MeasureTheory.charFunDual_eq_pi_iff, mfderiv_zero_of_not_mdifferentiableAt, MeasureTheory.aestronglyMeasurable_condExpL1CLM, Trivialization.continuousLinearEquivAt_prod, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, iteratedFDeriv_succ_eq_comp_right, Complex.hasSum_conj, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, ValueDistribution.logCounting_sum_top_eventuallyLE, ContinuousMultilinearMap.changeOriginSeries_support, ContinuousLinearEquiv.comp_hasFDerivAt_iff', WeakFEPair.functional_equation₀, MeasureTheory.SimpleFunc.setToSimpleFunc_zero, CPolynomialOn.add, Real.tendsto_integral_cexp_sq_smul, curveIntegralFun_sub, ContDiffMapSupportedIn.seminorm_apply, LinearMap.tripolar_eq_polar, inner_map_self_eq_zero, RCLike.toIsOrderedAddMonoid, FormalMultilinearSeries.isLittleO_of_lt_radius, tsupport_iteratedFDeriv_subset, DifferentiableOn.fun_add_iff_left, iteratedDerivWithin_fun_sum, MemHolder.nnHolderNorm_nsmul, aemeasurable_withDensity_iff, derivWithin_const_smul, Matrix.exp_units_conj', ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Orientation.inner_sq_add_areaForm_sq, ContinuousMultilinearMap.hasFDerivAt, signedDist_smul_of_neg, IntervalIntegrable.finsum, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, Real.iteratedFDeriv_fourier, TangentSpace.vectorBundle, circleAverage_sub_sub_inv_smul_of_differentiable_on, DoubleCentralizer.algebraMap_fst, RCLike.reLm_coe, fderiv_continuousLinearEquiv_comp, Real.Angle.coe_nsmul, EisensteinSeries.q_expansion_bernoulli, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, hasStrictFDerivAt_exp_zero_of_radius_pos, ContinuousLinearMap.toBilinForm_injective, DifferentiableAt.fun_smul, circleIntegral.integral_smul_const, InnerProductSpace.mem_span_gramSchmidt, ContinuousLinearMap.mfderivWithin_eq, ContDiffOn.fderivWithin, tsum_prod_pow_eq_tsum_sigma, ContDiff.continuous_iteratedFDeriv, InnerProductGeometry.angle_add_eq_arccos_of_inner_eq_zero, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, MeasureTheory.integrable_condExpL2_indicator, iteratedFDeriv_comp_add_left', ProbabilityTheory.isPosSemidef_covarianceBilinDual, ImplicitFunctionData.range_rightDeriv, tangentCoordChange_self, CStarAlgebra.span_nonneg_inter_closedBall, toSpanSingleton_derivWithin, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, isMIntegralCurveAt_comp_mul_ne_zero, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, MeasureTheory.Lp.zero_smul, HasFDerivAt.hasFDerivAt_norm_smul, bilinearIteratedFDerivWithinTwo_eq_iteratedFDeriv, Real.Angle.sign_add_pi, HasFiniteFPowerSeriesOnBall.eq_partialSum', VectorField.mlieBracket_const_smul_left, fderivWithin_fun_add, coe_lpBCFₗᵢ_symm, range_mfderiv_coe_sphere, Real.Angle.toReal_add_of_sign_pos_sign_neg, Complex.wedgeIntegral_add_wedgeIntegral_eq, IsMIntegralCurve.comp_mul, coe_lpPiLpₗᵢ_symm, differentiable_piLp, ClosedSubmodule.inf_orthogonal_eq_bot, HasFPowerSeriesOnBall.pi, ProbabilityTheory.Kernel.integral_integral_add, intervalIntegral.hasSum_integral_of_dominated_convergence, Submodule.reflection_eq_self_iff, MeasureTheory.weightedSMul_union', MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, stereographic_source, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, RCLike.wInner_one_const_right, AlgHom.coe_toContinuousLinearMap, ContDiff.iteratedFDeriv_right', Differentiable.add_const, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, HasFDerivWithinAt.sqrt, HasFDerivAt.le_of_lipschitz, AnalyticAt.analyticOrderAt_ne_top, MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, signedDist_vadd_right_swap, iteratedDerivWithin_fun_const_smul, Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', tsum_dirichletSummand, Real.hasFDerivAt_fourierIntegral, SchwartzMap.integralCLM_apply, HasStrictFDerivAt.hasStrictDerivAt, FormalMultilinearSeries.radius_shift, ContinuousLinearEquiv.comp_right_differentiableAt_iff, Complex.conjCLE_apply, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, AnalyticAt.const_smul, IsZLattice.span_top, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitone, innerSLFlip_apply, ContinuousLinearEquiv.differentiableOn, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, coe_addEquiv_lpBCF, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_right, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, Submodule.ker_starProjection, ContinuousLinearEquiv.mfderiv_eq, Trivialization.coe_continuousLinearEquivAt_eq, VectorField.leibniz_identity_mlieBracketWithin_apply, hasLineDerivAt_iff_tendsto_slope_zero, differentiableAt_comp_add_right, HasFDerivAt.list_prod', ProbabilityTheory.covarianceBilin_real, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', ProbabilityTheory.strong_law_Lp, fderivWithin_const_smul_field, deriv_fun_const_smul, Real.Angle.natCast_mul_eq_nsmul, MeasureTheory.integral_const, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, ContinuousLinearMap.measurable_coe, HasDerivWithinAt.smul_const, Euclidean.ball_eq_preimage, HasFDerivAt.fun_neg, ContinuousLinearMap.analyticOn, Polynomial.fderivWithin_aeval, CStarAlgebra.star_left_conjugate_le_norm_smul, norm_iteratedFDeriv_prod_le, DifferentiableOn.smul, contDiff_nat_iff_continuous_differentiable, MeasureTheory.L1.SimpleFunc.setToL1S_zero_left, hasFDerivAt_pow', Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable_of_tendsto, SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, OrderedFinpartition.compAlongOrderFinpartition_apply, Trivialization.continuousLinearEquivAt_symm_apply, Submodule.topologicalClosure_eq_top_iff, NumberField.mixedEmbedding.stdBasis_apply_isReal, DirichletCharacter.LSeries_eulerProduct_exp_log, mdifferentiableOn_coordChangeL, Polynomial.fderivWithin, Finset.analyticOnNhd_sum, HasFDerivWithinAt.const_cpow, HasFiniteFPowerSeriesOnBall.add, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, ContDiffAt.iteratedFDeriv_comp_perm, HasFDerivAt.fun_add, VectorPrebundle.mk_coordChange, TensorProduct.enorm_assoc, hasFDerivWithinAt_comp_add_right, MeasureTheory.Lp.smul_neg, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two, ProbabilityTheory.covarianceBilin_of_not_memLp, SchwartzMap.sum_apply, Matrix.linfty_opNorm_toMatrix, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMap.coeFn_toLp, Submodule.reflection_bot, VectorField.lieBracketWithin_add_left, Real.Angle.zsmul_eq_iff, innerSL_apply_norm, VectorField.mpullback_add, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, ContinuousLinearMap.isPositive_def', Orientation.oangle_add_cyc3_neg_left, LinearMap.adjoint_inner_left, MemHolder.nnHolderNorm_smul, HasDerivWithinAt.add_const, PeriodPair.analyticOnNhd_derivWeierstrassP, Matrix.frobenius_norm_mul, MeasureTheory.Integrable.integral_smul, HasMFDerivAt.comp_hasMFDerivWithinAt, ProperCone.innerDual_empty, Matrix.star_dotProduct_gram_mulVec, hasStrictFDerivAt_exp_zero, RCLike.hasSum_iff, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, ContMDiffVectorBundle.contMDiffOn_coordChangeL, MeasureTheory.Measure.addHaar_preimage_linearMap, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, curveIntegral_eq_intervalIntegral_deriv, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, ContinuousLinearMap.inCoordinates_eq, meromorphicOrderAt_smul_of_ne_zero, mfderiv_prodMk, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, hasMFDerivWithinAt_snd, BoxIntegral.integralSum_smul, ContinuousMultilinearMap.norm_domDomCongr, Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two, HasStrictFDerivAt.fun_neg, MeasureTheory.Integrable.enorm, HasFDerivWithinAt.arctan, ZSpan.quotientEquiv.symm_apply, NumberField.mixedEmbedding.convexBodyLT_convex, Real.tendsto_integral_exp_smul_cocompact, HasStrictFDerivAt.sum, mellin_convergent_iff_norm, MeasureTheory.setIntegral_tilted', VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, Submodule.ker_orthogonalProjection, locallyIntegrableOn_mul_sum_Icc, Orientation.kahler_mul, derivWithin_fun_finset_prod, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, HasDerivWithinAt.smul, GaussianFourier.integral_cexp_neg_mul_sum_add, ProbabilityTheory.iIndepFun_iff_charFunDual_pi', Submodule.reflection_map_apply, sameRay_iff_norm_sub, ProbabilityTheory.covarianceBilinDual_comm, TensorProduct.dist_tmul_le, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt', ProbabilityTheory.isGaussian_iff_charFunDual_eq, ContinuousOn.integral_sub_linear_isLittleO_ae, BoxIntegral.integralSum_disjUnion, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.integral_smul, iteratedDerivWithin_smul, ContinuousMultilinearMap.curry0_norm, Submodule.sup_orthogonal_of_hasOrthogonalProjection, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, ContinuousLinearMap.norm_fst, HasFDerivWithinAt.rpow, Meromorphic.add, OrderedFinpartition.applyOrderedFinpartition_apply, HasFPowerSeriesOnBall.hasFDerivAt, Matrix.instIsOrderedAddMonoid, SchwartzMap.instLocallyConvexSpace, lp.single_add, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_iSup_right, intervalIntegral.integral_add, TensorProduct.toLinearEquiv_assocIsometry, Summable.mul_tendsto_const, ContinuousMultilinearMap.analyticOn, DomAddAct.vadd_Lp_const, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, Orientation.oangle_smul_smul_self_of_nonneg, HasMFDerivAt.prod, MeromorphicNFAt.smul_analytic, AnalyticOnNhd.add, MemHolder.nnHolderNorm_add_le, Submodule.IsOrtho.disjoint, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, derivWithin_sum, ZLattice.volume_image_eq_volume_div_covolume', MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, HasFDerivWithinAt.comp_hasDerivAt, EisensteinSeries.tendsto_double_sum_S_act, toMatrix_innerSL_apply, ClosedSubmodule.sInf_orthogonal, intervalIntegral.fderivWithin_integral_of_tendsto_ae, ContinuousMap.toLp_comp_toContinuousMap, Function.HasTemperateGrowth.smul, DoubleCentralizer.mul_fst, Matrix.PosSemidef.re_dotProduct_nonneg, rescale_to_shell_zpow, iteratedFDeriv_comp_add_right, MeasureTheory.Measure.addHaar_ball_mul_of_pos, Orientation.rightAngleRotation_trans_neg_orientation, Orientation.volumeForm_robust', Complex.sinh_eq_tsum, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, integrableOn_peak_smul_of_integrableOn_of_tendsto, iteratedFDeriv_zero_fun, ContDiffAt.laplacianWithin_add_nhdsWithin, Submodule.HasOrthogonalProjection.exists_orthogonal, HurwitzZeta.hasSum_nat_hurwitzZetaEven_of_mem_Icc, HasFDerivAt.prodMk, ModelWithCorners.convex_range', MDifferentiableAt.coordChangeL, MeasureTheory.Lp.smul_comm, Manifold.IsImmersionAt.target_subset_preimage_target, SchwartzMap.coe_coeHom, Submodule.starProjection_top, hasFDerivAt_sub_const, MeasureTheory.IsFundamentalDomain.integral_eq_tsum_of_ac, Submodule.iInf_orthogonal, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, MeasureTheory.hasSum_integral_iUnion, signedDist_vadd_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_completeSpace, Pretrivialization.continuousLinearMap_apply, EuclideanGeometry.oangle_add_oangle_rev, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedSpace.sInter_polar_eq_closedBall, ContDiffBump.convolution_eq_right, TemperedDistribution.instFourierInvSMul, MeasureTheory.AEEqFun.Integrable.smul, hasFDerivWithinAt_fst, ExistsContDiffBumpBase.w_def, IsEquivalent.summable_iff, HasDerivWithinAt.const_smul, MeasureTheory.Measure.setIntegral_comp_smul, PositiveLinearMap.ofPreGNS_toPreGNS, Complex.imCLM_coe, ModelWithCorners.transContinuousLinearEquiv_range, ContDiffOn.smul, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, TensorProduct.nnnorm_assoc, WeakFEPair.hf_modif_FE, FormalMultilinearSeries.analyticAt_changeOrigin, fourierCoeff.add, deriv_smul_const, CStarMatrix.normedSpaceCore, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, intervalIntegral.integral_hasFDerivWithinAt, HasFPowerSeriesAt.tendsto_partialSum, ZSpan.repr_fract_apply, ContinuousLinearMap.orthogonal_range, contDiff_one_iff_hasFDerivAt, MeasureTheory.charFunDual_prod', HasFiniteFPowerSeriesAt.add, Submodule.lipschitzWith_starProjection, HasFPowerSeriesAt.hasDerivAt, ContinuousLinearMap.isPositive_iff_complex, HasFDerivWithinAt.comp_hasFDerivAt_of_eq, MeromorphicOn.min_divisor_le_divisor_add, HasFPowerSeriesAt.eventually_hasSum_sub, ProbabilityTheory.covarianceBilin_apply, DifferentiableAt.star_star, DiffContOnCl.two_pi_i_inv_smul_circleIntegral_sub_inv_smul, fourierIntegral_half_period_translate, BoxIntegral.integralSum_sub_partitions, MeasureTheory.withDensityᵥ_zero, ContinuousLinearMap.comp_cpolynomialOn, HasFDerivAt.cos, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, iteratedFDerivWithin_comp_add_left', InnerProductSpace.span_gramSchmidt, MeasureTheory.Lp.smul_add, MeasureTheory.withDensitySMulLI_apply, hasDerivWithinAt_const_add_iff, MeasureTheory.Measure.addHaar_nnreal_smul, deriv_finset_prod, logDeriv_prod, Complex.taylorSeries_eq_on_emetric_ball, EuclideanGeometry.hasFDerivAt_inversion, Finset.analyticOnNhd_fun_sum, Orientation.kahler_map, MeasureTheory.convolutionExistsAt_iff_integrable_swap, dist_div_norm_sq_smul, torusIntegral_smul, ZLattice.comap_comp, norm_iteratedFDeriv_one, VectorField.mpullback_smul, EisensteinSeries.summable_e2Summand_symmetricIcc, MeasureTheory.martingalePart_add_ae_eq, MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum_of_ac, Orientation.oangle_sign_add_left, ZSpan.instDiscreteTopologySubtypeMemAddSubgroupToAddSubgroupIntSpanRangeCoeBasisRealOfFinite, UnitAddTorus.hasSum_prod_mFourierCoeff, HasStrictFDerivAt.fun_const_smul, OrthonormalBasis.span_apply, iteratedFDerivWithin_eventually_congr_set', ContinuousMultilinearMap.analyticOnNhd, NumberField.mixedEmbedding.latticeBasis_apply, MeasureTheory.integral_add', ClosedSubmodule.orthogonal_toSubmodule_eq, HasFDerivAt.hasDerivAt, fderivWithin_const_smul, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, differentiableAt_finCons', ContinuousLinearMap.isPositive_iff, MeasureTheory.Measure.addHaar_submodule, HasDerivWithinAt.star, TensorProduct.mapIsometry_apply, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, VectorBundleCore.inCoordinates_eq, HasStrictFDerivAt.prodMap, MeromorphicOn.extract_zeros_poles, HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin, ValueDistribution.logCounting_add_const, ContinuousMap.adjoin_id_eq_span_one_add, Complex.sin_eq_tsum, ContinuousLinearMap.norm_inl, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, ContinuousLinearEquiv.comp_differentiable_iff, SchwartzMap.instFourierSMul, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, Orientation.two_zsmul_oangle_smul_right_self, SchwartzMap.fourierTransformCLM_apply, AffineSubspace.signedInfDist_singleton, HasFPowerSeriesWithinOnBall.neg, Real.tsum_eq_tsum_fourier_of_rpow_decay, MeasureTheory.L1.integral_add, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Trivialization.symm_continuousLinearEquivAt_eq, DiffContOnCl.add, PadicInt.fwdDiff_mahlerSeries, DoubleCentralizer.zero_toProd, SlashInvariantForm.slash_S_apply, Orientation.coe_basisRightAngleRotation, HasFDerivAt.const_rpow, MeromorphicAt.fun_sum, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, MeasureTheory.Lp.constL_apply, SchwartzMap.fderivCLM_fourier_eq, CStarModule.inner_mul_inner_swap_le, Complex.hasSum_conj', mellin_const_smul, SchwartzMap.derivCLM_apply, Real.Angle.two_nsmul_coe_div_two, Matrix.toLin_finTwoProd_toContinuousLinearMap, HasFPowerSeriesOnBall.eventually_hasSum_sub, TensorProduct.toLinearMap_mapIsometry, RCLike.map_nonneg_iff, NormedSpace.exp_smul, MeromorphicOn.negPart_divisor_add_le_max, IsCoercive.continuousLinearEquivOfBilin_apply, VectorBundleCore.continuousOn_coordChange, MeasureTheory.integral_fun_fst, Orientation.volumeForm_zero_neg, SmoothPartitionOfUnity.contMDiff_finsum_smul, MeasureTheory.integral_inter_add_diff₀, MeasureTheory.martingalePart_eq_sum, MeasureTheory.pdf.integrable_pdf_smul_iff, ContinuousLinearEquiv.fderivWithin, mfderiv_comp_apply, HasDerivWithinAt.scomp_hasDerivAt, Unitary.inner_map_map, ContDiffBump.dist_normed_convolution_le, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, HasFDerivWithinAt.fun_sum, VectorField.lieBracketWithin_smul_right, fderiv_fun_const_smul, TensorProduct.enorm_map, Orientation.areaForm_map, uniformEquicontinuous_birkhoffAverage, deriv_comp_mul_left, LinearMap.derivWithin, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, iteratedFDeriv_zero_eq_comp, HasStrictDerivAt.prodMk, isConformalMap_iff, hasFTaylorSeriesUpToOn_succ_iff_left, PadicInt.continuous_multichoose, Complex.hasSum_taylorSeries_neg_log, VectorFourier.integral_bilin_fourierIntegral_eq_flip, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, curveIntegralFun_restrictScalars, contDiffOn_succ_iff_fderivWithin, NumberField.mixedEmbedding.commMap_apply_of_isReal, contDiff_smul, ProperCone.mem_innerDual, EuclideanGeometry.Sphere.two_zsmul_oangle_center_add_two_zsmul_oangle_eq_pi, InnerProductSpace.toLinearMap_rankOne, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, meromorphicNFAt_smul_iff_right_of_analyticAt, ZLattice.isAddFundamentalDomain, ContinuousLinearMap.adjointAux_inner_right, MeromorphicOn.smul, Finset.analyticOn_sum, Complex.taylorSeries_eq_on_ball, HasMFDerivWithinAt.mul, ContDiffWithinAt.iteratedFDerivWithin_right, TemperedDistribution.instLineDerivSMulComplex, OpenPartialHomeomorph.MDifferentiable.symm_comp_deriv, ContinuousLinearEquiv.isOpen, CStarAlgebra.conjugate_le_norm_smul, MeasureTheory.lpNorm_sum_le, TensorProduct.commIsometry_apply, ContinuousLinearEquiv.coe_toDiffeomorph, summable_geometric_iff_norm_lt_one, norm_midpoint_lt_iff, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', Finset.analyticAt_sum, HasFDerivAt.arsinh, DoubleCentralizer.norm_fst, Orientation.oangle_add_oangle_rev_neg_left, measurable_smul_const, WeakFEPair.functional_equation, MeasureTheory.Submartingale.sum_smul_sub, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, TensorProduct.congrIsometry_symm, summable_pow_mul_geometric_of_norm_lt_one, BoundedContinuousFunction.coe_toContinuousMapₐ, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, ContinuousAlternatingMap.norm_ofSubsingleton_id, Complex.equivRealProdCLM_symm_apply_re, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, Trivialization.continuousLinearMapAt_symmL, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, TorusIntegrable.add, eHolderNorm_add_le, LinearMap.IsSymmetric.orthogonal_range, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, iteratedDerivWithin_eq_equiv_comp, HasFDerivAt.const_sub, MeasureTheory.charFunDual_eq_pi_iff', LinearPMap.adjointDomainMkCLMExtend_apply, Besicovitch.card_le_of_separated, HasDerivAt.const_add, dimH_orthogonalProjection_le, BoundedContinuousFunction.toLp_norm_le, iteratedFDerivWithin_two_apply, extDerivWithin_smul, NormedSpace.expSeries_div_hasSum_exp, instDiscreteTopologySubtypeMemSubmoduleIntComap, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.integral_countable, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, HasStrictFDerivAt.fun_smul, MeasureTheory.withDensityᵥ_sub', ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, HasStrictFDerivAt.cpow, ContDiffPointwiseHolderAt.fderiv, Orientation.inner_rightAngleRotationAux₁_right, curveIntegral_fun_sub, HasFiniteFPowerSeriesOnBall.finite, Submodule.re_inner_starProjection_nonneg, norm_cfcₙ_one_sub_one_add_inv_lt_one, NumberField.mixedEmbedding.latticeBasis_repr_apply, Submodule.adjoint_orthogonalProjection, HasFDerivAt.pow', continuousOn_cfcₙ_nnreal, HasStrictFDerivAt.pow', EuclideanGeometry.reflection_apply', ContDiffWithinAt.smul_const, hasFDerivWithinAt_iff_hasGradientWithinAt, CurveIntegrable.smul, BoxIntegral.Integrable.smul, isMIntegralCurveOn_comp_mul_ne_zero, ContinuousLinearMap.hasFDerivAt_of_bilinear, VectorField.lieBracket_add_right, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, Submodule.isOrtho_bot_right, mfderivWithin_prodMk, LinearMap.adjoint_comp, FormalMultilinearSeries.min_radius_le_radius_add, Complex.summable_one_div_nat_cpow, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, MeasureTheory.integrable_add_iff_integrable_right, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, OpenPartialHomeomorph.MDifferentiable.mfderiv_injective, DifferentiableAt.star, LinearMap.IsPositive.inner_nonneg_right, HasDerivAt.scomp_of_eq, VonNeumannAlgebra.coe_toStarSubalgebra, Matrix.toEuclideanLin_apply_piLp_toLp, MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter, MeasureTheory.IsFundamentalDomain.measure_eq_card_smul_of_smul_ae_eq_self, MeasureTheory.hasSum_integral_iUnion_ae, logDeriv_prod_sineTerm_eq_sum_cotTerm, InnerProductSpace.span_gramSchmidt_Iio, ContinuousAlternatingMap.curryLeft_add, HasFPowerSeriesAt.pi, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, hasFDerivAt_comp_add_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', IntervalIntegrable.continuousOn_smul, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, LinearIsometry.strictConvexSpace_range_iff, VectorFourier.fourierPowSMulRight_apply, HasFDerivWithinAt.smul, summable_prod_eisSummand, inner_eq_norm_mul_iff_real, Submodule.mem_orthogonal_singleton_iff_inner_left, mfderivWithin_eventually_congr_set, MeasureTheory.Submartingale.smul_nonpos, Manifold.IsImmersionAtOfComplement.writtenInCharts, RCLike.ofReal_tsum, Bundle.Trivial.contMDiffVectorBundle, SchwartzMap.decay, WithCStarModule.inner_single_left, Submodule.mem_adjoint_iff, FormalMultilinearSeries.summable_nnnorm_mul_pow, MeasureTheory.Lp.simpleFunc.toLp_smul, LinearMap.isSymmetric_iff_isSelfAdjoint, CPolynomialOn.fderiv, integrableOn_mul_sum_Icc, iteratedDerivWithin_fun_add, NumberField.mixedEmbedding.normAtPlace_negAt, PadicInt.mahlerEquiv_apply, SchwartzMap.convolution_flip, Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two, Module.Basis.parallelepiped_map, AlternatingMap.measure_def, InnerProductGeometry.sin_angle_add_of_inner_eq_zero, HasDerivWithinAt.prodMk, MeasureTheory.charFunDual_dirac, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, MeasureTheory.ConvolutionExistsAt.distrib_add, VectorPrebundle.continuousOn_coordChange, VectorField.mpullbackWithin_apply, Filter.Tendsto.integral_sub_linear_isLittleO_ae, LinearMap.isSymmetric_iff_sesqForm, FormalMultilinearSeries.radius_compContinuousLinearMap_le, HasStrictFDerivAt.mul_const', ContinuousLinearMap.IsPositive.adjoint_conj, EisensteinSeries.G2_eq_tsum_cexp, LinearIsometryEquiv.reflections_generate_dim, Complex.isometryOfOrthonormal_apply, mfderiv_const, iteratedFDeriv_prodMk, intervalIntegral.smul_integral_comp_mul_right, Irreducible.maximalIdeal_eq_closedBall, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, Complex.sameRay_iff, deriv_add_const, intervalIntegral.integral_comp_div_add, conformalFactorAt_inner_eq_mul_inner, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, Orientation.areaForm_map_complex, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, CFC.log_pow, hasFDerivWithinAt_pi, BoxIntegral.integral_const, PeriodPair.hasSum_weierstrassPExcept, intervalIntegral.integral_smul_const, MeasureTheory.Lp.neg_smul, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, InnerProductSpace.laplacianWithin_smul_nhds, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, HilbertBasis.summable_inner_mul_inner, ContinuousLinearMap.isPositive_iff', derivWithin_const_add_fun, HasDerivAtFilter.isEquivalent_sub, Differentiable.fun_add_iff_right, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, Submodule.finrank_add_finrank_orthogonal, NumberField.mixedEmbedding.finrank, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, ContinuousLinearMap.star_eq_adjoint, SchwartzMap.integral_fourier_smul_eq, Real.dimH_segment, Complex.imCLM_nnnorm, Submodule.orthogonal_eq_top_iff, Complex.circleIntegral_one_div_sub_center_pow_smul_of_differentiable_on_off_countable, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, ValueDistribution.logCounting_sum_top_le, AlgHom.toContinuousLinearMap_norm, ContDiffAt.laplacian_CLM_comp_left_nhds, EisensteinSeries.qExpansion_identity, Submodule.lipschitzWith_orthogonalProjection, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, ContDiffAt.fun_smul, HasFPowerSeriesWithinAt.neg, Orientation.inner_rightAngleRotation_right, HasFDerivAt.hasFDerivAt_norm_smul_neg, fourierSubalgebra_closure_eq_top, ModularForm.prod_fintype_slash, GaussianFourier.integral_cexp_neg_sum_mul_add, UniformSpace.Completion.coe_toComplL, derivWithin_comp_add_const, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, derivWithin.star, RCLike.wInner_one_const_left, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, fderivWithin_list_prod', summable_norm_iff, OrderedFinpartition.applyOrderedFinpartition_update_left, LinearMap.continuous_of_isClosed_ker, Unitization.complex_cfcₙ_eq_cfc_inr, orthogonalFamily_iff_pairwise, ZSpan.map_fundamentalDomain, Complex.sameRay_iff_arg_div_eq_zero, FormalMultilinearSeries.radius_le_radius_derivSeries, Orientation.volumeForm_apply_le, ContinuousAlternatingMap.curryLeftLI_apply, LDL.diag_eq_lowerInv_conj, tsum_eisSummand_eq_tsum_sigma_mul_cexp_pow, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, Submodule.inf_orthogonal_eq_bot, Complex.starConvex_slitPlane, HasFDerivWithinAt.fun_mul', MeasureTheory.norm_condExpInd_le, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, BoundedContinuousFunction.toContinuousMapₐ_apply, curveIntegralFun_trans_aeeq_left, fderivWithin_smul_const, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, AnalyticOn.fun_const_smul, Submodule.isOrtho_sSup_left, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, MeasureTheory.MemLp.toLp_add, DiffContOnCl.const_add, LinearMap.polar_isClosed, ContinuousMultilinearMap.analyticWithinAt, NumberField.mixedEmbedding.negAt_apply_norm_isReal, fderiv_star, MeasureTheory.integrable_comp_smul_iff, derivWithin_fun_const_smul', MeasureTheory.Measure.addHaar_preimage_linearEquiv, innerₛₗ_apply, hasFDerivAtFilter_iff_tendsto, DifferentiableAt.add_iff_right, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, ContinuousLinearEquiv.hasFDerivAt, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, iteratedDeriv_const_smul_field, HurwitzZeta.hasSum_int_sinZeta, IsMIntegralCurveAt.comp_mul_ne_zero, intervalIntegral.integral_interval_add_Ioi', HasDerivAt.tendsto_slope_zero, Filter.EventuallyEq.iteratedFDeriv, fderivWithin_continuousLinearEquiv_comp, ProbabilityTheory.Kernel.integral_integral_add'_comp, Pretrivialization.continuousLinearMap_symm_apply, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, hasDerivAtFilter_pi, stereographic_apply, MeasureTheory.inner_condExpL2_eq_inner_fun, StrongDual.toLp_apply, inverse_mfderiv_mul_left, ArithmeticFunction.LSeries_zeta_eulerProduct_exp_log, Orientation.rotation_apply, derivWithin_fun_add, IsLocalMin.hasFDerivAt_eq_zero, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum_of_completeSpace, DifferentiableAt.fun_add_iff_right, HasFDerivAtFilter.iterate, ModularFormClass.hasSum_qExpansion_of_norm_lt, Submodule.inner_starProjection_left_eq_right, ContMDiffAt.mfderiv, ContinuousLinearMap.IsPositive.spectrumRestricts, OrthonormalBasis.sum_repr, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, Real.iteratedFDeriv_fourierIntegral, MeasureTheory.Lp.coe_LpSubmodule, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, differentiableAt_snd, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, IsCoercive.ker_eq_bot, TestFunction.instLocallyConvexSpaceReal, ModularFormClass.bdd_at_infty_slash, ContinuousLinearEquiv.analyticOnNhd, IsConformalMap.injective, InnerProductSpaceable.innerProp, jacobiTheta_eq_tsum_nat, LinearIsometry.strictConvexSpace_range, MeasureTheory.withDensityᵥ_rnDeriv_smul, PositiveLinearMap.norm_apply_le_of_nonneg, differentiableWithinAt_smul_iff, MeasureTheory.condExpInd_disjoint_union_apply, fderivWithin_pow_ring', ContinuousLinearMap.analyticOn_uncurry_of_multilinear, FormalMultilinearSeries.changeOrigin_eval, LSeries.term_sum_apply, LinearMap.toSeminorm_ball_zero, differentiableWithinAt_add_const_iff, continuousAt_hom_bundle, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, Submodule.fstL_comp_coe_orthogonalDecomposition, Meromorphic.sum, StrongConvexOn.strictConvexOn, DifferentiableOn.const_smul, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Module.Basis.ofZLatticeBasis_comap, isStarProjection_iff_eq_starProjection_range, ContinuousLinearMap.add_compLpL, Orientation.inner_rightAngleRotationAux₁_left, MeasureTheory.integral_indicator_const, Complex.taylorSeries_eq_on_eball', VonNeumannAlgebra.mem_commutant_iff, exists_embedding_euclidean_of_compact, HasFPowerSeriesAt.prod, LinearMap.toSeminorm_apply, LinearIsometryEquiv.toLinearIsometry_rTensor, VectorPrebundle.contMDiffOn_contMDiffCoordChange, Orientation.areaForm_apply_self, ModularForm.slash_def, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, LeftInvariantDerivation.toDerivation_injective, Submodule.starProjection_minimal, PeriodPair.differentiableOn_weierstrassPExcept, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, lineDeriv_smul, MeasureTheory.integrable_rnDeriv_smul_iff, LinearMap.continuous_of_isClosed_graph, DoubleCentralizer.natCast_toProd, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, ProbabilityTheory.strong_law_ae_simpleFunc_comp, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one_aux, Complex.conjCLE_norm, ContinuousLinearMap.dslope_comp, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, LeftInvariantDerivation.evalAt_mul, MeasureTheory.Measure.addHaar_closedBall, enorm_eq_zero, PeriodPair.derivWeierstrassPExcept_add_coe, HasFPowerSeriesWithinAt.add, Submodule.starProjection_mem_subspace_eq_self, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, DifferentiableOn.add, Submodule.angle_coe, Real.tendsto_integral_gaussian_smul, HasMFDerivAt.prodMk, MeasureTheory.integrable_add_iff_integrable_left, FormalMultilinearSeries.id_apply_of_one_lt, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, HasFDerivWithinAt.fun_pow', IntervalIntegrable.integral_smul, CuspFormClass.zero_at_infty_slash, differentiable_pi'', HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, TensorProduct.norm_tmul, LinearMap.isPositive_iff, MeasureTheory.L1.norm_Integral_le_one, ContinuousLinearMap.measurable_apply', ContDiffMapSupportedIn.coe_coeHom, VectorFourier.fourierIntegral_comp_add_right, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, MeromorphicOn.fun_sum, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, UnitAddTorus.span_mFourier_closure_eq_top, ContDiff.dimH_range_le, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, DoubleCentralizer.one_toProd, MeasureTheory.withDensityᵥ_smul', ModularForm.is_invariant_one', differentiableAt_iff_restrictScalars, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, Complex.imCLM_enorm, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, SchwartzMap.tsupport_derivCLM_subset, Filter.Tendsto.cesaro_smul, deriv_fun_const_smul_field, tendsto_integral_exp_inner_smul_cocompact, OrthonormalBasis.coe_toBasis_repr_apply, EisensteinSeries.tendsto_tsum_one_div_linear_sub_succ_eq, VectorField.leibniz_identity_lieBracket, MeasureTheory.integrable_continuousLinearMap_prod, Continuous.fourierPowSMulRight, differentiableOn_apply, ZLattice.normBound_spec, HasSumUniformlyOn.of_norm_le_summable, iteratedFDerivWithin_sum_apply, ContinuousLinearEquiv.dimH_preimage, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, hasStrictFDerivAt_add_const_iff, SchwartzMap.integral_smul_laplacian_right_eq_left, differentiableAt_pi, HasFDerivWithinAt.fun_add, Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two, Real.Angle.eq_add_pi_of_two_zsmul_eq_of_sign_eq_neg, FormalMultilinearSeries.radius_prod_eq_min, OrthonormalBasis.coe_equiv_euclideanSpace, VectorFourier.fourierIntegral_probChar, summable_cotTerm, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, VectorFourier.norm_fourierSMulRight_le, continuousWithinAt_hom_bundle, AlternatingMap.measure_parallelepiped, RCLike.wInner_one_eq_sum, derivWithin_finset_prod, HasFDerivAt.mul_const', MeasureTheory.charFunDual_map, hasFDerivWithinAt_add_const_iff, HasFiniteFPowerSeriesOnBall.fderiv', Orientation.two_zsmul_oangle_smul_left_self, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, Complex.arg_pow_coe_angle, Submodule.orthogonalProjectionFn_eq, Fourier.fourierIntegral_def, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, iteratedFDerivWithin_clm_apply_const_apply, ContinuousMultilinearMap.currySum_apply, TensorProduct.nnnorm_comm, Submodule.IsOrtho.ge, OpenPartialHomeomorph.MDifferentiable.ker_mfderiv_eq_bot, MeasureTheory.integral_fn_integral_add, MeasureTheory.ComplexMeasure.re_apply, Submodule.bot_orthogonal_eq_top, signedDist_apply, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, geom_series_mul_neg, ContinuousLinearMap.IsPositive.conj_starProjection, HasStrictFDerivAt.fun_pow', continuousMultilinearCurryRightEquiv_apply', EuclideanSpace.inner_toLp_toLp, TemperedDistribution.lineDerivOp_fourierInv_eq, Submodule.map_orthogonal, Complex.hasSum_taylorSeries_log, fourierCoeffOn_eq_integral, HasStrictFDerivAt.comp, ProbabilityTheory.IsGaussian.charFunDual_eq_of_integral_eq_zero, DoubleCentralizer.natCast_snd, VonNeumannAlgebra.coe_commutant, ContDiffMapSupportedIn.bounded_iteratedFDeriv, MeasureTheory.SimpleFunc.integral_const, MeromorphicOn.negPart_divisor_add_le_add, HasFiniteFPowerSeriesOnBall.hasFDerivAt, ProbabilityTheory.variance_dual_prod, ProbabilityTheory.isGaussian_map_equiv, isSymmSndFDerivWithinAt_iff_iteratedFDerivWithin, HasFDerivAt.hasGradientAt, PeriodPair.hasSum_sumInvPow, HasStrictFDerivAt.sin, VectorBundleCore.coordChange_linear_comp, ContinuousAlternatingMap.alternatizeUncurryFin_add, Orientation.oangle_sign_smul_add_smul_right, Module.Basis.ofZLatticeComap_repr_apply, Real.Angle.nsmul_toReal_eq_mul, signedDist_eq_dist_iff_vsub_mem_span, ProbabilityTheory.covarianceBilin_map_const_add, MeasureTheory.integral_tsum, AffineSubspace.direction_perpBisector, Besicovitch.multiplicity_le, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesOnBall.changeOrigin, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOn, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, HasFDerivWithinAt.const_rpow, FormalMultilinearSeries.leftInv_removeZero, deriv_const_smul', PadicInt.continuousAddCharEquiv_symm_apply, intervalIntegral.integral_comp_mul_right, ContDiffWithinAt.iteratedFDerivWithin_comp_perm, LSeriesHasSum.sum, ProbabilityTheory.Kernel.integral_integral_add_comp, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, ClosedSubmodule.orthogonal_disjoint, CompletelyPositiveMap.map_cstarMatrix_nonneg', IsLocalFrameOn.coeff_eq_of_eq, Differentiable.fun_add_iff_left, iteratedFDerivWithin_const_of_ne, ContinuousLinearMap.isAdjointPair_inner, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, MeasureTheory.LocallyIntegrableOn.enorm, VectorFourier.norm_fourierPowSMulRight_le, TensorProduct.norm_map, EuclideanGeometry.dist_smul_vadd_eq_dist, dist_birkhoffAverage_birkhoffAverage_le, Complex.equivRealProdCLM_symm_apply_im, ContinuousLinearMap.coe_le_coe_iff, AddChar.linearIndependent, MeasureTheory.integral_singleton, intervalIntegral.integral_comp_div_sub, coe_ringEquiv_lpBCF_symm, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, MeasureTheory.integral_iUnion, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, Real.hasFDerivAt_fourierChar_neg_bilinear_right, DifferentiableAt.smul_const, summable_bernoulli_fourier, Unitization.splitMul_injective, isInvertible_mfderiv_extChartAt, WeakFEPair.f_modif_aux1, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, MeasureTheory.Lp.smul_assoc, ContDiffMapSupportedIn.continuous_iff_comp, ContinuousMultilinearMap.norm_map_insertNth_le, PeriodPair.periodic_weierstrassP, differentiable_tsum', HasFPowerSeriesAt.coeff_zero, Submodule.orthogonal_le_orthogonal_iff, DoubleCentralizer.sub_snd, ModelWithCorners.coe_transContinuousLinearEquiv, SeparatingDual.completeSpace_continuousMultilinearMap_iff, Submodule.orthogonal_le_iff_orthogonal_le, norm_iteratedFDerivWithin_mul_le, VectorFourier.norm_fourierSMulRight, InnerProductSpace.volume_closedBall, ContinuousLinearEquiv.coord_norm', DifferentiableOn.star, HasFPowerSeriesOnBall.hasSum_sub, EisensteinSeries.summable_e2Summand_symmetricIco, GaussianFourier.integrable_cexp_neg_sum_mul_add, iteratedDerivWithin_comp_eq_sum_orderedFinpartition, Bundle.Trivial.symmₗ_trivialization, WithCStarModule.pi_norm_sq, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, hasMFDerivAt_snd, Complex.hasSum_sinh, NormedSpace.norm_smul_normalize, hom_chart, ContinuousLinearMap.isPositive_zero, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, MeasureTheory.Integrable.smul_prod, LinearMap.mem_span_iff_bound, homeomorphSphereProd_apply_fst_coe, ContinuousOn.cfcₙ_nnreal, hasFDerivAt_exp_smul_const_of_mem_ball', MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_left_of_lt, MeasureTheory.ConvolutionExists.distrib_add, HasDerivAt.scomp_hasDerivWithinAt, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_two, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, deriv_descPochhammer_eval_eq_sum_prod_range_erase, strongConvexOn_iff_convex, HasStrictDerivAt.add_const, Module.Basis.ofZLatticeBasis_repr_apply, HasMFDerivAt.sum, MeasureTheory.UnifIntegrable.add, Orientation.oangle_eq_pi_iff_sameRay_neg, MeasureTheory.charFunDual_pi, strongConvexOn_zero, contDiff_tsum_of_eventually, iteratedDerivWithin_add, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, ContinuousLinearMap.integral_comp_id_comm, hasStrictFDerivAt_exp_smul_const, FormalMultilinearSeries.radius_eq_top_iff_summable_norm, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, SchwartzMap.fourier_convolution_apply, BoxIntegral.Integrable.tendsto_integralSum_sum_integral, Complex.hasStrictFDerivAt_log_real, MeasureTheory.SimpleFunc.setToSimpleFunc_const', iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, intervalIntegral.integral_interval_add_interval_comm, MeasureTheory.integral_integral_add', Submodule.starProjection_le_starProjection_iff, iteratedDerivWithin_vcomp_eq_sum_orderedFinpartition, iteratedFDerivWithin_zero_fun, MeasureTheory.integral_piecewise, SummableLocallyUniformlyOn_of_locally_bounded, ContDiffAt.smul, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, RCLike.wInner_cWeight_const_right, TemperedDistribution.smulLeftCLM_sum, HasStrictFDerivAt.mul, ContinuousLinearMap.analyticOnNhd, fderiv_fst, MeasureTheory.SimpleFunc.integral_smul, EisensteinSeries.summable_right_one_div_linear_sub_one_div_linear_succ, sum_mul_eq_sub_sub_integral_mul', Irreducible.maximalIdeal_pow_eq_closedBall_pow, IsLocalMaxOn.hasFDerivWithinAt_eq_zero, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, ContinuousAlternatingMap.differentiable, Differentiable.fun_sum, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, hom_trivializationAt_apply, ContinuousLinearEquiv.uniqueDiffOn_image_iff, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, LinearMap.eq_adjoint_iff_basis_right, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, Real.differentiable_fourierChar_neg_bilinear_left, MeasureTheory.lpNorm_expect_le, Submodule.instOrthogonalCompleteSpace, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, EisensteinSeries.summable_linear_right_add_one_mul_linear_right, ModularForm.is_invariant_const, AffineBasis.centroid_mem_interior_convexHull, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, fderiv_norm_smul_pos, FormalMultilinearSeries.le_radius_pi, continuousMultilinearCurryLeftEquiv_symm_apply, WithLp.unitization_mul, MeasureTheory.Measure.addHaar_closedBall_mul, hasFDerivAtFilter_const_add_iff, meromorphicOrderAt_add_eq_right_of_lt, DoubleCentralizer.instStarModule, fderivWithin_add, iteratedFDeriv_comp_add_right', HasStrictDerivAt.finset_prod, VectorBundleCore.localTriv.isLinear, instOrderIsoClassContinuousLinearMapIdOfNonUnitalAlgEquivClassOfStarHomClassOfContinuousMapClass, ContinuousMultilinearMap.smulRightL_apply, hasSum_one_div_pow_mul_fourier_mul_bernoulliFun, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, differentiable_star_iff, ContinuousLinearMap.instBorelSpace, LinearMap.isStarProjection_iff_isSymmetricProjection, LinearIsometryEquiv.toLinearEquiv_rTensor, CStarAlgebra.star_right_conjugate_le_norm_smul, HasDerivAt.comp_hasFDerivAt, innerₛₗ_apply_coe, MeasureTheory.SignedMeasure.toComplexMeasure_apply_im, Finset.analyticWithinAt_sum, iteratedDerivWithin_scomp_two, Complex.sin_eq_tsum', PiLp.inner_apply, TestFunction.instContinuousSMulReal, MeasureTheory.integral_comp_mul_left_Ioi, HasStrictFDerivAt.fun_add, MeasureTheory.Lp.neg_smul_neg, Complex.reCLM_norm, Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, ModularForm.SL_slash_apply, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, Submodule.isOrtho_self, LinearIsometryEquiv.toLinearIsometry_lTensor, Real.Angle.abs_toReal_add_eq_two_pi_sub_abs_toReal_add_abs_toReal, ContinuousLinearMap.smul_compLpL, DifferentiableOn.prodMk, summable_geometric_of_norm_lt_one, MeasureTheory.SimpleFunc.map_integral, tendstoUniformly_tsum, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, ProbabilityTheory.instIsGaussianMapHAdd, VonNeumannAlgebra.instStarMemClass, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, ZMod.LFunction_residue_one, contMDiffOn_coordChangeL, MeasureTheory.Integrable.toL1_add, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_univ, NumberField.mixedEmbedding.convexBodySum_convex, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, PeriodPair.mul_ω₁_add_mul_ω₂_mem_lattice, DoubleCentralizer.intCast_fst, convex_halfSpace_im_le, HasFDerivAt.sqrt, MeasureTheory.measure_smul_setAverage, ClosedSubmodule.orthogonal_closure, ContDiffPointwiseHolderAt.iteratedFDeriv, ContinuousLinearMap.norm_compLpL_le, MeasureTheory.Integrable.comp_smul, ZSpan.vadd_mem_fundamentalDomain, DomMulAct.smul_Lp_const, LinearMap.toSeminormFamily_apply, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, MeasureTheory.Measure.LinearMap.quasiMeasurePreserving, mfderiv_fst, OrthonormalBasis.toMatrix_orthonormalBasis_mem_orthogonal, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, sum_mul_eq_sub_integral_mul, derivWithin_add_const, mfderivWithin_fst, Memℓp.add, fderiv_comp_add_left, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, Matrix.PosSemidef.sqrt_mul_self, Orientation.areaForm_rightAngleRotation_right, MeasureTheory.setIntegral_condExpL1CLM, ContDiffAt.continuousAt_iteratedFDeriv, ZSpan.fract_apply, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, NormedRing.inverse_one_sub_nth_order', Orientation.oangle_sign_add_right, norm_iteratedFDerivWithin_fderivWithin, Module.Basis.map_addHaar, ContinuousLinearMap.cpolynomialOn, MeasureTheory.Integrable.fourier_smul, HasFDerivWithinAt.finset_prod, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq', hasStrictFDerivAt_list_prod', continuousMultilinearCurryFin1_symm_apply, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, Quaternion.hasSum_expSeries_of_imaginary, HasStrictDerivAt.fun_add, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, differentiableWithinAt_comp_add_left, Trivialization.symmL_apply, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, intervalIntegral.integral_comp_mul_add, FormalMultilinearSeries.radius_pi_le, hom_trivializationAt_baseSet, Submodule.orthogonal_eq_inter, VectorFourier.integral_fourierIntegral_smul_eq_flip, ContinuousLinearMap.mdifferentiableOn, MeasureTheory.eLpNorm_condExpL2_le, PadicInt.mahlerEquiv_symm_apply, Orientation.inner_smul_rotation_pi_div_two_smul_left, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, HasStrictFDerivAt.smul_const, SchwartzMap.coe_apply, MeasureTheory.Measure.addHaar_ball, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, ContinuousLinearEquiv.coord_self, sub_smul_dslope, MeasureTheory.condExp_bot', SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, Orientation.oangle_smul_right_of_pos, norm_iteratedFDeriv_smul_le, Complex.ofReal_tsum, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, ContDiffAt.differentiableAt_iteratedFDeriv, intervalIntegral.integral_Iic_add_Ioi, LinearMap.IsPositive.adjoint_eq, abs_real_inner_div_norm_mul_norm_eq_one_iff, HasFDerivAt.hasFDerivAt_norm_smul_pos, Trivialization.prod_apply', MeasureTheory.Integrable.smul_const, Complex.integral_boundary_rect_eq_zero_of_continuousOn_of_differentiableOn, ContinuousLinearEquiv.comp_fderivWithin, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, iteratedDeriv_vcomp_two, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, ContinuousOn.continuousOn_iteratedFDeriv, ProbabilityTheory.instIsGaussianProdProdOfSecondCountableTopologyEither, HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, AddChar.coe_complexBasis, HasStrictFDerivAt.cosh, MeasureTheory.L1.integral_eq', Matrix.toEuclideanLin_eq_toLin_orthonormal, IsBoundedBilinearMap.differentiable, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MeasureTheory.integral_finset, isStarProjection_iff_eq_starProjection, ContinuousLinearMap.norm_adjoint_comp_self, summable_norm_sum_mul_antidiagonal_of_summable_norm, LinearPMap.mem_adjoint_domain_iff, Orientation.inner_smul_rotation_pi_div_two_smul_right, LinearMap.IsSymmetricProjection.le_iff_range_le_range, Asymptotics.IsLittleO.sum_range, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, VonNeumannAlgebra.instSubringClass, NormedSpace.expSeries_hasSum_exp_of_mem_ball', fderivWithin_pow, VectorPrebundle.coordChange_apply, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, Real.circleAverage_add, EuclideanGeometry.orthogonalProjection_apply, hasFDerivAt_exp_zero_of_radius_pos, CStarAlgebra.span_nonneg_inter_ball, EuclideanGeometry.Sphere.direction_orthRadius, fderivWithin_fun_const_smul, Bundle.ContinuousLinearMap.memTrivializationAtlas, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, ContinuousLinearMap.hasDerivWithinAt, Real.Angle.two_nsmul_neg_pi_div_two, UpperHalfPlane.IsZeroAtImInfty.slash, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, differentiableWithinAt_piLp, LinearIsometry.rTensor_apply, hasStrictFDerivAt_pow, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, ContinuousLinearEquiv.differentiableWithinAt, Matrix.l2_opNNNorm_conjTranspose_mul_self, intervalIntegral.integral_interval_add_Ioi, iteratedDeriv_fun_mul, fderiv_comp_smul, Submodule.instHasOrthogonalProjectionTop, iteratedFDeriv_clm_apply_const_apply, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, LinearIsometry.toLinearMap_lTensor, coe_innerₛₗ_apply, ProbabilityTheory.covarianceBilinDual_of_not_memLp, lp.star_apply, FormalMultilinearSeries.norm_changeOriginSeriesTerm, MeromorphicAt.fun_add, TemperedDistribution.smulLeftCLM_smul, NormedRing.inverse_add_nth_order, MeasureTheory.MemLp.integrable_enorm_rpow, VectorBundleCore.vectorBundle, VectorField.lieBracketWithin_const_smul_right, curveIntegral_add, TensorProduct.nndist_tmul_le, ProbabilityTheory.strong_law_ae_of_measurable, InnerProductGeometry.angle_eq_pi_iff, HasFTaylorSeriesUpTo.zero_eq', Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, ContinuousLinearEquiv.analyticAt, Complex.two_pi_I_inv_smul_circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, InnerProductSpace.continuousLinearMapOfBilin_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, curveIntegralFun_trans_of_lt_half, fourierCoeffOn.const_smul, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, PointwiseConvergenceCLM.withSeminorms, PeriodPair.indep, MeasureTheory.convolution_eq_swap, Real.Angle.tan_add_pi, Real.fourierInv_eq, isInvertible_mfderivWithin_extChartAt_symm, ModelWithCorners.coe_transContinuousLinearEquiv_symm, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, mulInvariantVectorField_smul, differentiable_finCons, ModularForm.coe_translate, hasDerivAt_const_add_iff, ProperCone.innerDual_iUnion, HasFDerivAt.prodMap, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', norm_injOn_ray_left, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, DFinsupp.inner_sum, SchwartzMap.tsum_eq_tsum_fourierIntegral, FormalMultilinearSeries.id_apply_one, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, Real.Angle.sin_antiperiodic, ContinuousLinearMap.norm_snd, ZSpan.repr_floor_apply, inner_matrix_row_row, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.iteratedFDeriv_comp_right, DifferentiableOn.circleIntegral_one_div_sub_center_pow_smul, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, meromorphicOrderAt_add_of_top_right, ContinuousMultilinearMap.apply_zero_uncurry0, HasStrictFDerivAt.fun_mul, Complex.hasSum_arctan, ContinuousLinearMap.norm_holderL_le, SmoothPartitionOfUnity.contMDiff_smul, hasFDerivWithinAt_pow, contDiff_infty_iff_fderiv, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, LinearMap.polar_mem_iff, interval_average_eq, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, curveIntegral_sub, RCLike.nnnorm_nsmul, HasFDerivWithinAt.mul', HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, SchwartzMap.instFourierInvSMul, differentiableWithinAt_complex_iff_differentiableWithinAt_real, ContinuousLinearMap.comp_analyticOnNhd, TemperedDistribution.derivCLM_apply_apply, OrthonormalBasis.tensorProduct_apply, HurwitzZeta.hasSum_int_completedCosZeta, TorusIntegrable.function_integrable, range_derivWithin_subset_closure_span_image, HasStrictFDerivAt.sinh, Complex.hasSum_cosh, Asymptotics.IsLittleO.add_isEquivalent, MeasureTheory.Supermartingale.smul_nonneg, norm_iteratedFDeriv_zero, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, mfderiv_subtype_coe_Icc_one, Complex.taylorSeries_eq_of_entire', MeasureTheory.integral_count, HasFDerivAt.cpow, deriv_sum, Complex.conj_tsum, Polynomial.hasFDerivWithinAt, MeasureTheory.condExpIndSMul_smul', LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, MDifferentiableWithinAt.smul, HasMFDerivWithinAt.comp, Complex.isometryOfOrthonormal_symm_apply, MeasureTheory.weightedSMul_smul_measure, VectorField.lieBracket_smul_right, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, intervalIntegral.integral_hasFDerivAt, ProperCone.innerDual_toSubmodule, HasFiniteFPowerSeriesOnBall.changeOrigin, CurveIntegrable.sub, InnerProductSpace.HarmonicAt.comp_CLM, deriv_pow', HasFiniteFPowerSeriesOnBall.fderiv_eq, VectorField.lieBracketWithin_add_right, NormedSpace.exp_sum_of_commute, Real.Angle.two_nsmul_coe_pi, smul_closedBall, ContMDiffOn.smul, ModularForm.coe_trace, MeasureTheory.condExp_stronglyMeasurable_bilin_of_bound, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, ProbabilityTheory.instIsGaussianMapHSub_1, derivWithin_add, ContinuousAlternatingMap.hasFDerivAt, FormalMultilinearSeries.summable, HasFPowerSeriesAt.locally_zero_iff, InnerProductSpace.laplacian_CLE_comp_left, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, MeasureTheory.IntegrableOn.continuousOn_smul_of_subset, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, eventually_norm_trivializationAt_lt, TensorProduct.congrIsometry_apply, integral_withDensity_eq_integral_smul₀, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', ConvexOn.exists_affine_le_of_lt, ProbabilityTheory.IsGaussian.charFunDual_eq', HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, MeasureTheory.integrable_const_add_iff, AnalyticOnNhd.fun_const_smul, MeasureTheory.integral_prod_smul, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, AddChar.complexBasis_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, iteratedFDerivWithin_comp_sub', MeasureTheory.integrableOn_Ioi_comp_rpow_iff, innerSL_apply_coe, differentiableOn_finCons, Differentiable.add, fderivWithin_mul', HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, ContinuousLinearMap.isPositive_one, HasDerivWithinAt.fun_sum, ContinuousLinearMap.isPositive_sum, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Orientation.oangle_smul_right_self_of_nonneg, HasStrictFDerivAt.inner, ZSpan.fract_eq_fract, HasMFDerivAt.comp, hasDerivAt_pi, MeasureTheory.ContinuousMap.inner_toLp, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, SlashInvariantForm.coeHom_injective, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, MeasureTheory.integrable_fun_norm_addHaar, LinearMap.toMatrix_adjoint, ProbabilityTheory.isPositive_covarianceOperator, MeasureTheory.SimpleFunc.integral_add, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Orientation.oangle_add_left_eq_arccos_of_oangle_eq_pi_div_two, Matrix.exp_units_conj, hasDerivWithinAt_finCons, EisensteinSeries.eisensteinSeries_slash_apply, HasFDerivAt.cosh, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, ValueDistribution.characteristic_sum_top_eventuallyLE, ZLattice.sum_piFinset_Icc_rpow_le, exists_continuousLinearEquiv_fderiv_symm_eq, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, Complex.arg_mul_coe_angle, HilbertBasis.tsum_inner_mul_inner, Meromorphic.smul, MeasureTheory.AEStronglyMeasurable.convolution_integrand', Orientation.oangle_neg_orientation_eq_neg, FormalMultilinearSeries.summable_norm_apply, Complex.hasSum_cos, Orientation.oangle_sign_smul_add_smul_left, summable_of_sum_range_norm_le, DifferentiableWithinAt.fun_add, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, MeasureTheory.IsAddFundamentalDomain.setIntegral_eq_tsum', EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, mfderiv_neg, AddCircle.toCircle_nsmul, Real.Angle.sin_eq_real_sin_iff_eq_or_add_eq_pi, sum_mul_eq_sub_integral_mul₀, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, ContinuousLinearMap.integral_comp_comm, hasFDerivWithinAt_iff_tendsto, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, ContDiffOn.differentiableOn_iteratedFDerivWithin, TensorProduct.nnnorm_lid, LinearMap.im_inner_adjoint_mul_self_eq_zero, HurwitzZeta.hasSum_int_completedSinZeta, NormedSpace.expSeries_summable_of_mem_ball', ProbabilityTheory.IndepFun.charFun_map_add_eq_mul, MeasureTheory.average_union_mem_openSegment, fderiv_pi, TestFunction.coeFnAddMonoidHom_apply, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', zeta_nat_eq_tsum_of_gt_one, Matrix.l2_opNorm_def, fderivWithin_comp_add_right, Quaternion.hasSum_coe, Real.fourierInv_eq', Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', OrthogonalFamily.linearIsometry_apply, HasFiniteFPowerSeriesOnBall.sub, Matrix.toEuclideanLin_toLp, HasStrictFDerivAt.const_add, continuous_stereoInvFun, MellinConvergent.cpow_smul, ContDiffOn.fun_smul, ContinuousLinearMap.iteratedFDeriv_comp_left, HurwitzZeta.hasSum_nat_hurwitzZetaOdd_of_mem_Icc, Real.fourierIntegral_deriv, Submodule.orthogonalProjection_eq_zero_iff, ContinuousLinearMap.holderL_apply_apply, FormalMultilinearSeries.comp_rightInv_aux2, AddChar.expect_apply_eq_ite, LeftInvariantDerivation.toFun_eq_coe, MeasureTheory.AEEqFun.eLpNorm_star, Complex.reCLM_enorm, MeasureTheory.integral_fun_snd, MeasureTheory.condExpInd_empty, MeasureTheory.Integrable.hasSum_intervalIntegral_comp_add_int, MeasureTheory.condExpL1CLM_smul, Matrix.l2_opNorm_mul, MeasureTheory.AEStronglyMeasurable.convolution_integrand, InnerProductGeometry.sin_angle_add, InnerProductGeometry.angle_add_eq_arcsin_of_inner_eq_zero, norm_innerSL_le, MeromorphicAt.smul, DifferentiableAt.add, Real.Angle.cos_antiperiodic, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Finset.analyticWithinAt_fun_sum, MeasureTheory.LocallyIntegrableOn.continuousOn_smul, HasStrictFDerivAt.sub, Real.fourierIntegral_real_eq, HasStrictFDerivAt.csinh, Real.circleAverage_fun_add, fderiv_const_smul_of_field, PeriodPair.lattice_eq_span_range_basis, HasFDerivWithinAt.cos, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, ContinuousLinearMap.IsPositive.isSelfAdjoint, MeasureTheory.measure_unitBall_eq_integral_div_gamma, CStarAlgebra.exists_sum_four_unitary, HasLineDerivAt.smul, OrthonormalBasis.sum_repr', continuousMultilinearCurryRightEquiv_apply, Submodule.coe_orthogonalProjection_apply, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, Submodule.starProjection_coe_eq_isCompl_projection, IsLocalDiffeomorphAt.mfderivToContinuousLinearEquiv_coe, HasFDerivAt.neg, InnerProductGeometry.sin_angle_add_mul_norm_of_inner_eq_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, nnnorm_cfcₙ_nnreal_le, hasFDerivAtFilter_add_const_iff, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, MeasureTheory.average_union, LinearMap.injective_iff_antilipschitz, ContinuousLinearEquiv.iteratedFDerivWithin_comp_left, deriv.star', SmoothBumpCovering.embeddingPiTangent_coe, analyticOrderAt_smul_eq_top_of_right, circleAverage_sub_sub_inv_smul_of_differentiable_on_off_countable, AnalyticOnNhd.const_smul, SchwartzMap.integral_smul_deriv_right_eq_neg_left, HasFPowerSeriesWithinAt.hasFDerivWithinAt, apply_le_nnnorm_cfcₙ_nnreal, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, iteratedDeriv_sum, ProbabilityTheory.covarianceBilinDual_of_not_memLp', MeasureTheory.integral_iUnion_fintype, instModuleFree_of_discrete_submodule, LinearMap.posSemidef_toMatrix_iff, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, PeriodPair.ω₁_mem_lattice, Orientation.two_zsmul_oangle_smul_smul_self, Submodule.starProjection_apply_eq_zero_iff, fderiv_list_prod', SchwartzMap.fourier_convolution, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_continuousOn, HasMFDerivWithinAt.prod, OnePoint.isZeroAt_iff, AnalyticOnNhd.eval_continuousLinearMap', PadicInt.instIsAddTorsionFree, SmoothPartitionOfUnity.IsSubordinate.contMDiff_finsum_smul, UnitAddTorus.span_mFourierLp_closure_eq_top, fderivWithin_comp_smul, Orientation.rotation_symm_apply, ZMod.LFunction_dft, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, VectorFourier.integrable_fourierPowSMulRight, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, PeriodPair.analyticOnNhd_weierstrassP, HasMFDerivAt.mul', ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, HurwitzZeta.hasSum_int_completedHurwitzZetaEven, tendstoUniformlyOn_tsum_nat_eventually, WeakFEPair.f_modif_aux2, HasFDerivAt.star_star, continuousOn_cfcₙ_nnreal_setProd, exists_continuousLinearEquiv_fderivWithin_symm_eq, eHolderNorm_smul, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, MeasureTheory.hasSum_integral_of_summable_integral_norm, mellin_cpow_smul, HasGradientWithinAt.hasFDerivWithinAt, FormalMultilinearSeries.rightInv_coeff_one, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay, hasFDerivAt_exp, Orientation.volumeForm_comp_linearIsometryEquiv, mfderivWithin_id, Differentiable.smul_const, RCLike.hasSum_conj', ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, InnerProductGeometry.IsConformalMap.preserves_angle, LinearMap.polar_mem, ApproximatesLinearOn.lipschitzOnWith, Orthonormal.tmul, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, ContinuousLinearMap.norm_holder_apply_apply_le, LinearMap.isPositive_one, Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two, mfderivWithin_sumSwap, MeasureTheory.charFun_map_const_add, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, MeasureTheory.AEEqFun.Integrable.add, fderivWithin_sum, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, MeasureTheory.integral_integral_add, SlashInvariantFormClass.slash_action_eq, BoundedContinuousFunction.range_toLp, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, fderivWithin_pow_ring, fderiv_const_smul, hasFDerivAtFilter_pi', constFormalMultilinearSeries_apply_succ, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, mfderiv_prod_left, Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, Complex.hasSum_iff, ContinuousLinearMap.coe_ofIsClosedGraph, ProbabilityTheory.Kernel.integral_withDensity, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, NumberField.mixedEmbedding.norm_negAt, Orientation.oangle_sign_smul_sub_right, DoubleCentralizer.toProdHom_apply, Submodule.isOrtho_bot_left, SlashInvariantForm.slash_action_eqn, DoubleCentralizer.mul_snd, HasFDerivWithinAt.comp_hasFDerivAt, MonotoneOn.nnnorm_cfcₙ, hasMFDerivWithinAt_inl, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.fpowerSeries_apply_one, summable_pow_mul_cexp, MeasureTheory.L1.integral_eq, fderiv_continuousLinearEquiv_comp', continuousOn_clm_apply, MeasureTheory.IsFundamentalDomain.integral_eq_tsum', WeakFEPair.Λ_residue_zero, ModularFormClass.hasSum_qExpansion, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, HasFDerivAt.fun_mul', intervalIntegral.integral_add_adjacent_intervals_cancel, constFormalMultilinearSeries_zero, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, Real.fourierIntegralInv_eq, MeasureTheory.weightedSMul_zero_measure, taylor_within_apply, LinearPMap.adjointAux_inner, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, ContDiffBump.convolution_tendsto_right_of_continuous, WithCStarModule.prod_inner, MeasureTheory.integrable_add_iff_integrable_left', Real.Angle.tan_periodic, fderivInnerCLM_apply, eventually_norm_mfderiv_extChartAt_lt, ContinuousMultilinearMap.curryFinFinset_apply, MeasureTheory.Lp.const_val, EuclideanGeometry.orthogonalProjection_eq_iff_mem, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, CircleIntegrable.finsum, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, OrderedFinpartition.applyOrderedFinpartition_update_right, derivWithin_smul_const, HasDerivWithinAt.sum, BoxIntegral.HasIntegral.add, MeasureTheory.integral_smul_measure, Real.Angle.coe_pi_add_coe_pi, summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexp, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, VectorBundleCore.coordChange_comp, SchwartzMap.denseRange_toLpCLM, isMIntegralCurve_comp_mul_ne_zero, ConformalAt.const_smul, hasFDerivAt_fst, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, ContDiffMapSupportedIn.coeHom_injective, mfderiv_comp_mfderivWithin_of_eq, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, summable_mul_of_bigO_atTop', mdifferentiableWithinAt_hom_bundle, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, HasSumUniformlyOn.of_norm_le_summable_eventually, Real.fderiv_fourierChar_neg_bilinear_left_apply, Module.Basis.addHaar_self, Differentiable.smul, isConformalMap_iff_is_complex_or_conj_linear, ContinuousLinearEquiv.contDiffPointwiseHolderAt_left_comp, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, RCLike.span_one_I, PeriodPair.ω₂_mem_lattice, hasFDerivAt_pi', ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, summable_jacobiTheta₂'_term_iff, IsSymmSndFDerivWithinAt.eq, CurveIntegrable.add, IsLocalExtr.hasFDerivAt_eq_zero, MeasureTheory.integral_add, hasFPowerSeriesAt_iff', Real.fourier_eq', fderivWithin_fun_sum, MeasureTheory.charFunDual_eq_prod_iff', LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, DFinsupp.sum_inner, MeasureTheory.continuous_L1_toL1, InnerProductSpace.laplacianWithin_CLE_comp_left, hasMellin_const_smul, deriv_const_smul_field, mulInvariantVectorField_add, Submodule.orthogonalProjection_norm_le, HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, WeakFEPair.Λ_residue_k, DifferentiableAt.sum, Function.HasTemperateGrowth.isBigO_uniform, differentiableOn_snd, ContDiff.fun_smul, iteratedFDerivWithin_zero_apply, Orientation.rightAngleRotation_neg_orientation, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, Fourier.fourierIntegral_comp_add_right, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, fderiv_single, hom_trivializationAt_target, RCLike.ofReal_sum, CircleIntegrable.add, finrank_euclideanSpace_fin, MeasureTheory.MemLp.toLp_const_smul, Submodule.orthogonalProjection_orthogonal, differentiableWithinAt_const_add_iff, Orientation.oangle_add_cyc3_neg_right, coe_algEquiv_lpBCF, DifferentiableWithinAt.const_add, hasFDerivAt_list_prod_attach', Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, instContMDiffVectorBundleSomeENatTopTangentSpaceOfIsManifold, Orientation.cos_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, MeasureTheory.IntegrableOn.smul_continuousOn_of_subset, geom_series_eq_inverse, MeasureTheory.norm_condExpL2_le_one, ContinuousLinearEquiv.mdifferentiableAt, MeasureTheory.ConvolutionExists.add_distrib, HasCompactSupport.convolution_integrand_bound_right, LinearMap.mem_span_iff_continuous, integral_comp_pi_polarCoord_symm, BoxIntegral.Integrable.add, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, deriv_add, VectorField.leibniz_identity_lieBracketWithin, HasDerivAt.comp_semilinear, MeasureTheory.integral_iUnion_ae, Differentiable.star, MeasureTheory.condExpL2_comp_continuousLinearMap, ModularForm.is_invariant_one, RCLike.re_extendTo𝕜'ₗ, InnerProductSpace.symm_toEuclideanLin_rankOne, MeasureTheory.Lp.coeFn_star, inCoordinates_tangent_bundle_core_model_space, isOpen_setOf_linearIndependent, NormedSpace.expSeries_hasSum_exp_of_mem_ball, ZSpan.setFinite_inter, PeriodPair.derivWeierstrassPExcept_def, differentiableOn_const_add_iff, MeasureTheory.Supermartingale.add, AnalyticOnNhd.eval_continuousLinearMap, hasStrictFDerivAt_pi, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, ContinuousLinearMap.adjoint_innerSL_apply, EisensteinSeries.tsum_symmetricIco_tsum_eq_S_act, HasFDerivAt.rpow, ZLattice.coe_comap, sameRay_iff_norm_smul_eq, Submodule.IsOrtho.comap, hasFDerivAt_iff_isLittleO_nhds_zero, fderivWithin_comp_sub, LSeries_eq_mul_integral', DifferentiableWithinAt.smul, ContDiffMapSupportedIn.structureMapLM_apply, CStarAlgebra.span_unitary, ContinuousLinearMap.circleAverage_comp_comm, derivWithin_const_smul', VectorPrebundle.contMDiffCoordChange_apply, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, Orthonormal.inner_sum, differentiableWithinAt_fst, Summable.hasSumUniformlyOn_log_one_add, EuclideanGeometry.reflection_apply, ContDiff.const_smul, continuousOn_coordChange, HasCompactSupport.convolution_integrand_bound_right_of_subset, LinearPMap.adjoint_apply_of_dense, Real.fourier_smul_convolution_eq, ContinuousLinearMap.IsPositive.re_inner_nonneg_right, DoubleCentralizer.smul_snd, inverse_mfderiv_add_left, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, LeftInvariantDerivation.coeFnAddMonoidHom_apply, MeasureTheory.Lp.simpleFunc.toLp_add, ContinuousLinearMap.integral_id_map, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, DifferentiableAt.fun_add_iff_left, MeasureTheory.condExpL2_const_inner, curveIntegrable_restrictScalars_iff, EisensteinSeries.D2_mul, MeasureTheory.integral_countable', IsCoercive.isClosed_range, TemperedDistribution.laplacianCLM_apply, isBigO_rpow_zero_log_smul, contMDiffWithinAt_hom_bundle, HasDerivAt.star_conj, ProperCone.innerDual_innerDual, TensorProduct.ext_iff_inner_right_threefold, mem_contMDiffFiberwiseLinear_iff, curveIntegralFun_def, Submodule.coe_prodEquivOfClosedCompl, ContinuousAlternatingMap.alternatizeUncurryFin_apply, ContinuousLinearMap.intervalIntegral_comp_comm, hasDerivAt_finCons, Orientation.areaForm_rightAngleRotation_left, HasFDerivAt.smul, ContinuousLinearMap.contMDiffAt, CStarAlgebra.exists_sum_four_nonneg, Complex.taylorSeries_eq_on_emetric_ball', isOpen_setOf_nat_le_rank, Real.Angle.two_nsmul_eq_iff, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, HasFDerivWithinAt.sin, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, MemHolder.smul_iff, hasFPowerSeriesAt_iff, HasStrictFDerivAt.exp, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NumberField.mixedEmbedding.disjoint_negAt_plusPart, MeasureTheory.integral_convolution, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_le, fderiv_norm_sq_apply, Submodule.starProjection_eq_self_iff, RCLike.imCLM_apply, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq, RightDerivMeasurableAux.le_of_mem_A, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, EuclideanGeometry.Sphere.finrank_orthRadius, PositiveLinearMap.preGNS_norm_sq, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, ContinuousLinearEquiv.comp_right_differentiable_iff, aestronglyMeasurable_withDensity_iff, InnerProductGeometry.ConformalAt.preserves_angle, Affine.Simplex.points_vsub_eulerPoint, TensorProduct.assocIsometry_symm_apply, Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two, hasFDerivAt_exp_of_mem_ball, InnerProductGeometry.angle_smul_left_of_pos, InnerProductSpace.gramSchmidt_mem_span, iteratedFDerivWithin_add_apply', norm_iteratedFDeriv_fderiv, MeasureTheory.Lp.toTemperedDistribution_smul_eq, Complex.differentiableOn_tsum_of_summable_norm, UpperHalfPlane.IsBoundedAtImInfty.slash, Real.Angle.two_nsmul_toReal_eq_two_mul, HasFDerivAtFilter.hasDerivAtFilter, TensorProduct.inner_map_map, MeasureTheory.Measure.integral_comp_div, intervalIntegral.integral_const, const_smul_mfderiv, fderiv_norm_sq, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, MeasureTheory.Measure.toSphere_apply_univ', HasMFDerivAt.const_smul, HasDerivAtFilter.fun_sum, CircleIntegrable.fun_sum, TensorProduct.toLinearMap_mapInclIsometry, mfderivWithin_snd, MeasureTheory.condExp_bot_ae_eq, Complex.equivRealProdCLM_apply, Function.HasTemperateGrowth.isBigO, FormalMultilinearSeries.hasFPowerSeriesOnBall, deriv_fun_const_smul', tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm, Real.Angle.sign_antiperiodic, ContinuousLinearMap.isUnit_iff_bijective, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', EulerProduct.exp_tsum_primes_log_eq_tsum, MeasureTheory.condExpL1_eq, analyticOrderAt_add_of_ne, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, surjective_stereographic, ContinuousLinearMap.mdifferentiableAt, ContinuousLinearMap.toSesqForm_apply_norm_le, PeriodPair.finrank_lattice, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, DifferentiableOn.sum, PeriodPair.derivWeierstrassP_add_coe, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Orientation.oangle_smul_left_of_pos, HilbertBasis.hasSum_repr_symm, CStarMatrix.norm_def, ProbabilityTheory.instIsGaussianMapNeg, hasStrictFDerivAt_sub_const, IsMIntegralCurveAt.eventually_hasDerivAt, MeasureTheory.IsFundamentalDomain.integral_eq_tsum, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, hasFDerivAt_stereoInvFunAux_comp_coe, LinearMap.adjoint_id, DifferentiableWithinAt.star, contDiff_succ_iff_hasFDerivAt, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', MeasureTheory.Measure.ContinuousLinearMap.quasiMeasurePreserving, derivWithin_fun_pow', hasFDerivWithinAt_comp_add_left, ModularForm.SL_smul_slash, mfderiv_prod_eq_add_apply, ODE.picard_apply, MeasureTheory.condExpL2_indicator_nonneg, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, NumberField.mixedEmbedding.convexBodyLT'_convex, Submodule.coe_prodEquivOfClosedCompl_symm, DoubleCentralizer.add_toProd, MeasureTheory.charFun_map_add_const, MeasureTheory.Integrable.smul_of_top_right, HasFDerivWithinAt.sum, TemperedDistribution.smulLeftCLM_apply_apply, summable_jacobiTheta₂_term_iff, HasDerivAt.tendsto_slope_zero_right, AddCircle.ergodic_zsmul_add, Complex.conjCLE_coe, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, IsSymmSndFDerivWithinAt.iteratedFDerivWithin_cons, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, hasFDerivAt_pi, mfderivWithin_comp, Orientation.inner_mul_areaForm_sub, differentiableOn_fst, ContinuousLinearMap.hasDerivAt_of_bilinear, ProbabilityTheory.covarianceOperator_of_not_memLp, InnerProductSpace.HarmonicAt.add, inner_matrix_col_col, hasFDerivWithinAt_snd, MeasureTheory.Measure.addHaar_closedBall', Matrix.IsHermitian.im_star_dotProduct_mulVec_self, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, uniformConvexOn_zero, HasFDerivAt.comp_hasDerivAt_of_eq, ContMDiff.coordChangeL, VectorField.lieBracketWithin_const_smul_left, mellin_comp_mul_left, DifferentiableOn.fun_smul, differentiableWithinAt_finCons, ContinuousMultilinearMap.norm_ofSubsingleton_id, HasFDerivWithinAt.fun_mul, addInvariantVectorField_add, derivWithin_pow', ZSpan.fundamentalDomain_ae_parallelepiped, IsBoundedBilinearMap.differentiableWithinAt, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, InnerProductGeometry.angle_eq_angle_add_add_angle_add, signedDist_vadd_vadd, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, pi_mul_cot_pi_q_exp, Continuous.cfcₙ_nnreal', contDiffWithinAt_succ_iff_hasFDerivWithinAt, Asymptotics.IsBigO.hasFDerivAt, PeriodPair.weierstrassPExcept_add, hasFDerivWithinAt_apply, intervalIntegral.inv_smul_integral_comp_add_div, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, ZLattice.exists_finsetSum_norm_rpow_le_tsum, Real.Angle.nsmul_eq_iff, HasFDerivAt.fun_sub, HasFDerivAt.const_cpow, DifferentiableWithinAt.add_const, ContMDiffMap.coeFnLinearMap_apply, Submodule.isHilbertSumOrthogonal, DoubleCentralizer.neg_fst, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, ZLattice.abs_repr_le, CStarMatrix.inner_toCLM_conjTranspose_right, HasFDerivWithinAt.cosh, norm_jacobiTheta₂_term_fderiv_le, HasDerivAtFilter.fun_const_smul, EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, MDifferentiableWithinAt.sum, HasFDerivAt.comp, AnalyticWithinAt.smul, iteratedDerivWithin_vcomp_three, Matrix.PosDef.re_dotProduct_pos, HasFDerivAtFilter.add_const, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContDiffBump.sub, mellin_comp_mul_right, NonUnitalStarAlgHom.instContinuousLinearMapClassComplex, GaussianFourier.integral_rexp_neg_mul_sq_norm, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, VectorField.mpullbackWithin_add_apply, Summable.tendstoUniformlyOn_tsum_nat_log_one_add, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, TensorProduct.edist_tmul_le, fderiv_eq_smul_deriv, unitary.inner_map_map, CStarMatrix.toCLM_apply_single_apply, LinearMap.IsPositive.conj_adjoint, ContinuousMultilinearMap.uncurryRight_norm, MeasureTheory.Measure.addHaar_real_closedBall, EuclideanGeometry.angle_const_vadd, HasStrictFDerivAt.rpow_const, ZLattice.comap_refl, hasStrictFDerivAt_exp_smul_const_of_mem_ball, MeasureTheory.eLpNorm_nsmul, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge, Complex.arg_neg_coe_angle, hasFDerivAt_prodMk_right, DoubleCentralizer.toProdMulOppositeHom_apply, HasStrictDerivAt.fun_smul, ContinuousLinearMap.coeFn_compLp', ModularForm.slash_apply, Unitization.cfcₙ_eq_cfc_inr, MeasureTheory.average_eq, ContinuousLinearEquiv.mfderivWithin_eq, PadicInt.addChar_of_value_at_one_def, curveIntegralFun_zero, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', ProbabilityTheory.indepFun_iff_charFunDual_prod, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, Submodule.orthogonalProjectionFn_mem, MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOn, LinearMap.IsPositive.re_inner_nonneg_left, iteratedFDeriv_const_of_ne, MeasureTheory.MemLp.toLp_const, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, intervalIntegral.smul_integral_comp_add_mul, Complex.restrictScalars_toSpanSingleton', HasFDerivWithinAt.list_prod', Complex.hasSum_taylorSeries_on_eball, QuadraticMap.hasLineDerivAt, MeasureTheory.Measure.integral_comp_inv_mul_right, Besicovitch.SatelliteConfig.exists_normalized_aux3, ContinuousLinearMap.coeFn_ofIsClosedGraph, MeasureTheory.charFunDual_conv, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, VectorField.mlieBracket_const_smul_right, EisensteinSeries.G2_T_transform, norm_inner_div_norm_mul_norm_eq_one_iff, HasStrictDerivAt.star, ProbabilityTheory.integral_tilted_mul_eq_cgf, tendsto_zero_geometric_tsum_pnat, FormalMultilinearSeries.comp_assoc, InnerProductGeometry.norm_div_cos_angle_add_of_inner_eq_zero, ModelWithCorners.extChartAt_transContinuousLinearEquiv_target, MeasureTheory.Measure.addHaar_smul, HasFPowerSeriesWithinAt.comp, Submodule.mem_iff_norm_starProjection, Complex.reCLM_apply, fderivWithin_pow', Orientation.abs_volumeForm_apply_le, PeriodPair.differentiableOn_derivWeierstrassPExcept, continuousMultilinearCurryFin1_apply, NormedAddCommGroup.summable_imp_tendsto_of_complete, IsCoercive.antilipschitz, LeftInvariantDerivation.evalAt_apply, UpperHalfPlane.petersson_slash, EisensteinSeries.tsum_symmetricIco_tsum_sub_eq, hasFDerivAt_finset_prod, unitary.linearIsometryEquiv_coe_apply, HilbertBasis.finite_spans_dense, Trivialization.coordChangeL_prod, mfderiv_id, MeasureTheory.Measure.addHaar_image_homothety, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne, MeasureTheory.integral_finset_biUnion, Orientation.oangle_add_oangle_rev_neg_right, mfderivWithin_comp_of_eq bridge: BoxIntegral.hasIntegralIndicatorConst

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_eq_zero 📖	mathematical	—	ENorm.enorm ContinuousENorm.toENorm ESeminormedAddMonoid.toContinuousENorm ESeminormedAddCommMonoid.toESeminormedAddMonoid toESeminormedAddCommMonoid ENNReal instZeroENNReal AddMonoid.toZero ESeminormedAddMonoid.toAddMonoid	—	—

ENormedAddMonoid

Definitions

Name	Category	Theorems
toESeminormedAddMonoid 📖	CompOp	21 math math: intervalIntegrable_iff, addInvariantVectorField_smul, VectorField.mlieBracketWithin_const_smul_right, IntervalIntegrable.enorm, enorm_eq_zero, MeasureTheory.eLpNorm_eq_zero_iff, intervalIntegrable_iff_integrableOn_Ioc_of_le, VectorField.mpullback_smul_apply, VectorField.mlieBracketWithin_const_smul_left, enorm_pos, VectorField.mpullbackWithin_smul_apply, VectorField.mlieBracket_const_smul_left, IntervalIntegrable.add, IntervalIntegrable.def', MeasureTheory.eLpNorm'_eq_zero_iff, MeasureTheory.integrableAtFilter_top, MeasureTheory.eLpNormEssSup_eq_zero_iff, mulInvariantVectorField_smul, IntervalIntegrable.intervalIntegrable_enorm_iff, enorm_eq_zero, VectorField.mlieBracket_const_smul_right

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_eq_zero 📖	mathematical	—	ENorm.enorm ContinuousENorm.toENorm ESeminormedAddMonoid.toContinuousENorm toESeminormedAddMonoid ENNReal instZeroENNReal AddMonoid.toZero ESeminormedAddMonoid.toAddMonoid	—	—

ENormedCommMonoid

Definitions

Name	Category	Theorems
toENormedMonoid 📖	CompOp	—
toESeminormedCommMonoid 📖	CompOp	1 math math: enorm_eq_zero

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_eq_zero 📖	mathematical	—	ENorm.enorm ContinuousENorm.toENorm ESeminormedMonoid.toContinuousENorm ESeminormedCommMonoid.toESeminormedMonoid toESeminormedCommMonoid ENNReal instZeroENNReal Monoid.toOne ESeminormedMonoid.toMonoid	—	—

ENormedMonoid

Definitions

Name	Category	Theorems
toESeminormedMonoid 📖	CompOp	3 math math: enorm_eq_zero', enorm_eq_zero, enorm_pos'

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_eq_zero 📖	mathematical	—	ENorm.enorm ContinuousENorm.toENorm ESeminormedMonoid.toContinuousENorm toESeminormedMonoid ENNReal instZeroENNReal Monoid.toOne ESeminormedMonoid.toMonoid	—	—

ESeminormedAddCommMonoid

Definitions

Name	Category	Theorems
toAddCommMonoid 📖	CompOp	5179 math, 1 bridge math: AnalyticWithinAt.const_smul, ArithmeticFunction.vonMangoldt.residueClass_eq, Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_add, mfderiv_sumSwap, MeasureTheory.setIntegral_union, TangentBundle.continuousLinearMapAt_model_space, hasFDerivAt_iff_hasDerivAt, ContinuousLinearEquiv.antilipschitz, MeasureTheory.Measure.integral_comp_inv_smul, VectorBundleCore.toFiberBundleCore_coordChange, ContMDiffAt.coordChangeL, MeasureTheory.predictablePart_add_ae_eq, HurwitzZeta.hasSum_int_hurwitzZetaOdd, InnerProductGeometry.cos_angle_add_of_inner_eq_zero, iteratedDeriv_scomp_two, TensorProduct.mapInclIsometry_apply, ContinuousLinearMap.rayleigh_smul, mfderiv_prod_eq_add, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, ContinuousMap.toLp_inj, HasStrictFDerivAt.log, TemperedDistribution.lineDerivOpCLM_eq, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Submodule.starProjection_apply_eq_isComplProjection, Orientation.oangle_sign_smul_add_right, DiffContOnCl.smul, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, Orientation.kahler_map_complex, Trivialization.pullback_linear, HasStrictDerivAt.fun_pow', MeasureTheory.setIntegral_tilted, FormalMultilinearSeries.comp_rightInv_aux1, MeasureTheory.LpToLpRestrictCLM_coeFn, ContinuousLinearMap.hasFPowerSeriesOnBall, MDifferentiable.coordChangeL, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, Complex.cos_eq_tsum, hasStrictFDerivAt_const_add_iff, ProbabilityTheory.Kernel.integral_fn_integral_add, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, hasStrictFDerivAt_apply, instContMDiffVectorBundleOfNatWithTopENatTangentSpaceOfIsManifold, differentiableWithinAt_finCons', differentiableAt_comp_const_add, fderiv_snd, Bundle.Trivial.continuousLinearEquivAt_trivialization, ContinuousLinearMap.derivWithin_of_bilinear, EuclideanGeometry.dist_smul_vadd_sq, SchwartzMap.lineDerivOpCLM_eq, real_inner_div_norm_mul_norm_eq_neg_one_iff, TensorProduct.enorm_lid, MeasureTheory.eLpNorm'_sum_le, Orientation.oangle_ne_zero_and_ne_pi_iff_linearIndependent, Orientation.oangle_add, MeasureTheory.condExpInd_of_measurable, HasStrictFDerivAt.fun_mul', Matrix.frobenius_nnnorm_mul, TensorProduct.inner_tmul, HasMFDerivAt.mul, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', MeasureTheory.condExpL1_smul, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, LeftInvariantDerivation.lift_zero, ProbabilityTheory.isGaussian_iff_gaussian_charFun, hasSum_geometric_of_norm_lt_one, MDifferentiable.add, ProperCone.innerDual_le_innerDual, RCLike.map_apply, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, OrthonormalBasis.orthogonalProjection_eq_sum, ContinuousLinearMap.analyticWithinAt_bilinear, Complex.restrictScalars_one_smulRight', MeasureTheory.aestronglyMeasurable_condExpInd, HasCompactSupport.convolution_integrand_bound_left, Real.Angle.toReal_add_of_sign_eq_neg_sign, completedZeta_eq_tsum_of_one_lt_re, MeasureTheory.Martingale.smul, HasFPowerSeriesWithinAt.comp_sub, Orientation.oangle_add_swap, ContinuousLinearEquiv.differentiable, hasDerivWithinAt_add_const_iff, IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, ContinuousLinearMap.integral_compLp, FormalMultilinearSeries.comp_partialSum, mellin_eq_fourier, SchwartzMap.instLineDerivLeftSMulReal, tendsto_birkhoffAverage_apply_sub_birkhoffAverage', LinearMap.adjoint_adjoint, DoubleCentralizer.star_snd, AnalyticOnNhd.smul, MeasureTheory.withDensityᵥ_sub, HasDerivAtFilter.sum, TensorProduct.ext_iff_inner_left, MeasureTheory.Measure.addHaar_image_continuousLinearMap, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, HasFDerivWithinAt.ccos, ContDiffMapSupportedIn.coe_add, InnerProductSpace.toLinearIsometry_toDual, RCLike.ofRealCLM_apply, SchwartzMap.integral_sesq_fourier_fourier, HasMFDerivAt.add, PowerSeries.IsRestricted.smul, Real.dimH_of_mem_nhds, AnalyticOn.exists_hasFTaylorSeriesUpToOn, HasFDerivAt.const_add, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, InnerProductSpace.span_gramSchmidtNormed, QuadraticMap.lineDeriv, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, MeasureTheory.convolution_eq_right', hasStrictFDerivAt_exp_of_mem_ball, EisensteinSeries.hasSum_e2Summand_symmetricIcc, hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, MeasureTheory.eLpNormEssSup_const_smul, RCLike.reCLM_apply, ContinuousMultilinearMap.cpolynomialOn, MeasureTheory.hausdorffMeasure_segment, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, MeasureTheory.UnifTight.add, curveIntegral_smul, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric, Real.fourierCoeff_tsum_comp_add, IntervalIntegrable.smul_continuousOn, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, Orientation.inner_rotation_pi_div_two_right_smul, extDeriv_constOfIsEmpty, Orientation.oangle_add_left_smul_rotation_pi_div_two, CFC.monotoneOn_one_sub_one_add_inv, Bundle.Trivial.symmL_trivialization, derivWithin_smul, NumberField.canonicalEmbedding.mem_span_latticeBasis, Real.fderiv_fourierIntegral, iteratedDeriv_fun_sum, Submodule.orthogonalDecomposition_symm_apply, hasStrictFDerivAt_list_prod_finRange', Asymptotics.IsEquivalent.add_const_of_norm_tendsto_atTop, MeasureTheory.integral_smul_nnreal_measure, DifferentiableOn.fun_add, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, InnerProductSpace.rankOne_one_left_eq_innerSL, PeriodPair.hasSumLocallyUniformly_weierstrassP, Submodule.IsOrtho.starProjection_comp_starProjection, ContDiffBump.normed_sub, NormedSpace.expSeries_summable_of_mem_ball, Complex.circleTransformDeriv_eq, AnalyticOn.domDomCongr_iteratedFDerivWithin, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, iteratedDeriv_fun_add, DiffContOnCl.add_const, LSeries.term_sum, ContinuousLinearMap.continuous_det, HurwitzZeta.hasSum_int_cosKernel₀, HasFiniteFPowerSeriesAt.neg, IsometryEquiv.toRealLinearIsometryEquiv_symm_apply, HasStrictFDerivAt.csin, nnnorm_cfcₙ_nnreal_le_iff, HurwitzZeta.hasSum_int_hurwitzZetaEven, Complex.ofRealCLM_coe, Complex.kahler, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, ClosedSubmodule.toSubmodule_orthogonal_eq, fderivWithin_comp_add_left, MeasureTheory.Measure.integral_comp_mul_right, HasFDerivWithinAt.pow, ContinuousLinearMap.sSup_unit_ball_eq_norm, Complex.areaForm, intervalIntegral.inv_smul_integral_comp_div_add, MeromorphicOn.divisor_fun_smul, finrank_real_complex_fact', MDifferentiableWithinAt.add, MeasureTheory.IntegrableOn.continuousOn_smul, taylorWithinEval_hasDerivAt_Ioo, MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, PeriodPair.coeff_weierstrassPExceptSeries, fderivWithin_fun_smul, ContinuousLinearMap.analyticWithinAt, Complex.hasSum_deriv_of_summable_norm, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, Real.fourierIntegralInv_eq', HasFDerivWithinAt.add, IntervalIntegrable.sum, PositiveLinearMap.apply_le_of_isSelfAdjoint, VectorBundleCore.trivializationAt_symmL, MDifferentiableAt.mfderiv_prod, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, Matrix.posSemidef_iff_eq_conjTranspose_mul_self, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum, LinearMap.IsPositive.ne_zero_iff, SchwartzMap.add_apply, hasFDerivAtFilter_pi, curveIntegrable_segment, hasFDerivAt_multiset_prod, Real.Angle.sin_add_pi_div_two, intervalIntegral.tsum_intervalIntegral_eq_of_summable_norm, LinearMap.isPositive_adjoint_comp_self, ProbabilityTheory.covarianceBilinDual_apply', Manifold.IsImmersionAt.map_target_subset_target, Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, geom_series_mul_shift, Complex.integral_boundary_rect_eq_zero_of_differentiableOn, hasFTaylorSeriesUpToOn_top_iff_right, MeasureTheory.charFunDual_apply, ContinuousLinearMap.IsPositive.inner_left_eq_inner_right, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, Real.Angle.cos_add, LSeries.term_convolution', conformalAt_iff, HasFPowerSeriesWithinOnBall.hasSum_sub, PeriodPair.derivWeierstrassPExcept_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeries, ProbabilityTheory.hasGaussianLaw_iff_charFunDual_map_eq, continuousOn_tsum, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, ContDiff.iteratedFDeriv_right, NumberField.canonicalEmbedding.latticeBasis_apply, norm_add_eq_iff_real, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, MeasureTheory.norm_condExpL2_le, IsLocalMaxOn.hasFDerivWithinAt_nonpos, contDiffAt_norm_smul_iff, ProbabilityTheory.IsGaussian.integrable_dual, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, norm_iteratedFDerivWithin_smul_le, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, MeasureTheory.weightedSMul_apply, ContinuousMultilinearMap.norm_map_snoc_le, ContinuousLinearMap.comp_condExp_comm, ImplicitFunctionData.isInvertible_fderiv_prodFun, Trivialization.continuousLinearMapAt_apply, hasSum_choose_mul_geometric_of_norm_lt_one, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, MeasureTheory.LocallyIntegrable.integrable_smul_right_of_hasCompactSupport, iteratedFDerivWithin_eventually_congr_set, ApproximatesLinearOn.lipschitz, summableLocallyUniformlyOn_iteratedDerivWithin_cexp, tsum_coe_mul_geometric_of_norm_lt_one', lp.inner_eq_tsum, ContinuousLinearMap.continuous_integral_comp_L1, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, Orientation.tan_oangle_add_left_smul_rotation_pi_div_two, PeriodPair.ω₁_div_two_notMem_lattice, hasDerivWithinAt_taylorWithinEval, OrthonormalBasis.sum_inner_mul_inner, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, norm_iteratedFDerivWithin_one, HasFTaylorSeriesUpTo.cont, ImplicitFunctionData.isCompl_ker, ContinuousLinearMap.hasDerivAtFilter, DoubleCentralizer.intCast_snd, span_fourier_closure_eq_top, Real.fourierIntegral_eq, PeriodPair.basis_one, HasDerivAtFilter.comp_hasFDerivAtFilter, MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one, Finset.analyticAt_fun_sum, DoubleCentralizer.range_toProdMulOpposite, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, Submodule.re_inner_starProjection_eq_normSq, RCLike.conjCLE_norm, ProperCone.innerDual_univ, HasFPowerSeriesOnBall.add, differentiableWithinAt_pi'', HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, Differentiable.add_iff_right, MeasureTheory.inner_condExpL2_left_eq_right, MeasureTheory.integral_unique, setIntegral_withDensity_eq_setIntegral_smul₀, Complex.hasSum_taylorSeries_of_entire, ContinuousMap.toLp_denseRange, AnalyticOnNhd.compContinuousLinearMap, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_ae, intervalIntegral.intervalIntegral_eq_integral_uIoc, ZLattice.covolume_eq_det_inv, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, BoxIntegral.HasIntegral.sum, MeasureTheory.Lp.coeFn_add, HasDerivAt.fun_finset_prod, circleIntegrable_iff, LinearMap.polar_eq_iInter, ProbabilityTheory.covarianceBilinDual_apply, Real.Angle.toCircle_add, hasFDerivAt_stereoInvFunAux, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, MDifferentiableAt.sum, ContinuousLinearMap.comp_memLp, Complex.tsum_exp_neg_mul_int_sq, Real.fderiv_fourierChar_neg_bilinear_right_apply, LinearMap.IsSymmetric.diagonalization_apply_self_apply, LinearMap.IsPositive.re_inner_nonneg_right, Unitization.real_cfcₙ_eq_cfc_inr, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', VectorField.mpullbackWithin_add, intervalIntegral.fderiv_integral_of_tendsto_ae, Submodule.starProjection_orthogonal', RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, DoubleCentralizer.natCast_fst, hasFPowerSeriesOnBall_pi_iff, SmoothPartitionOfUnity.contMDiffAt_finsum, DifferentiableAt.prodMap, ContinuousLinearMap.IsPositive.toLinearMap, AnalyticOnNhd.iteratedFDeriv_of_isOpen, ContinuousLinearMap.norm_compLp_le, Submodule.toLinearEquiv_orthogonalDecomposition, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContinuousLinearEquiv.symm_toDiffeomorph, ContDiffMapSupportedIn.structureMapCLM_apply, iteratedFDerivWithin_succ_eq_comp_right, OrthonormalBasis.toBasis_tensorProduct, TensorProduct.congrIsometry_refl_refl, eventually_enorm_mfderivWithin_symm_extChartAt_lt, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', MeasureTheory.lpNorm_add_le', MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, tangentMap_snd, iteratedDerivWithin_vcomp_two, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, isClosedEmbedding_cfcₙAux, setIntegral_withDensity_eq_setIntegral_toReal_smul, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, LeftInvariantDerivation.coe_derivation, TensorProduct.enorm_comm, innerSL_apply_apply, Submodule.isOrtho_sup_right, RCLike.norm_expect_le, HasFPowerSeriesWithinOnBall.restrictScalars, TangentBundle.symmL_trivializationAt, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, aemeasurable_smul_const, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, MeasureTheory.integral_add_measure, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, inner_sum, HasFTaylorSeriesUpTo.hasFDerivAt, HasFDerivAtFilter.fun_sum, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, ContMDiffWithinAt.mfderivWithin_const, MeasureTheory.Measure.toSphere_apply_aux, Orientation.neg_rotation, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, HasFDerivAtFilter.sub, Unitization.splitMul_apply, GaussianFourier.integral_cexp_neg_mul_sq_norm, tendsto_integral_peak_smul_of_integrable_of_tendsto, inner_eq_norm_mul_iff, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, Sbtw.oangle_eq_add_pi_left, ProbabilityTheory.covarianceBilin_apply_eq_cov, ProbabilityTheory.covarianceBilin_self, DoubleCentralizer.nnnorm_def', deriv_fun_sum, tendsto_smul_comp_nat_floor_of_tendsto_mul, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, DifferentiableWithinAt.add, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, MeasureTheory.Integrable.hasSum_intervalIntegral, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, dist_iteratedFDerivWithin_one, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, VectorField.mpullbackWithin_smul, ContinuousMap.range_toLp, eqOn_dslope_sub_smul, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, Submodule.orthogonalProjection_mem_subspace_eq_self, ContinuousLinearMap.IsPositive.inner_nonneg_right, Differentiable.fun_smul, DoubleCentralizer.zero_snd, LeftInvariantDerivation.left_invariant', FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius, NormedRing.inverse_add_norm_diff_nth_order, FormalMultilinearSeries.le_changeOriginSeries_radius, Orientation.volumeForm_neg_orientation, hasSum_one_div_nat_pow_mul_fourier, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, derivWithin_fderivWithin, HasFDerivWithinAt.prodMap, two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even, AddCircle.toCircle_add, deriv_fun_pow', MeasureTheory.condExpIndL1Fin_smul, mfderiv_comp, InnerProductSpace.span_gramSchmidtNormed_range, HasFDerivWithinAt.hasLineDerivWithinAt, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, ProbabilityTheory.uncenteredCovarianceBilin_apply, Submodule.orthogonal_disjoint, InnerProductGeometry.angle_smul_right_of_pos, TemperedDistribution.lineDerivOp_fourier_eq, WeakFEPair.symm_Λ₀_eq, ContDiffPointwiseHolderAt.isBigO, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, AnalyticOn.comp_sub, SchwartzMap.decay', Module.Basis.ofZLatticeBasis_apply, ContinuousAlternatingMap.map_insertNth, intervalIntegral.integral_comp_sub_div, FormalMultilinearSeries.derivSeries_coeff_one, VonNeumannAlgebra.ext_iff, Complex.ofRealCLM_norm, Submodule.starProjection_add_starProjection_orthogonal, HasStrictFDerivAt.add_const, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, instIsZLatticeComap, mdifferentiableOn_symm_coordChangeL, intervalIntegral.integral_comp_mul_left, LipschitzWith.ae_exists_fderiv_of_countable, AnalyticAt.fun_const_smul, tsum_choose_mul_geometric_of_norm_lt_one', OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, NumberField.mixedEmbedding.mem_idealLattice, intervalIntegral.integral_comp_mul_sub, SchwartzMap.bilinLeftCLM_apply, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, IsConformalMap.is_complex_or_conj_linear, IsHilbertSum.linearIsometryEquiv_symm_apply, SmoothBumpCovering.exists_immersion_euclidean, OrderedFinpartition.norm_applyOrderedFinpartition_le, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, hasSum_coe_mul_geometric_of_norm_lt_one', Submodule.starProjection_singleton, HasFPowerSeriesAt.eventually_hasSum, LeftInvariantDerivation.left_invariant, mfderiv_comp_apply_of_eq, ContinuousLinearMap.comp_condExp_add_const_comm, torusIntegral_add, Orientation.tan_oangle_add_right_smul_rotation_pi_div_two, hasStrictFDerivAt_snd, tsum_coe_mul_geometric_of_norm_lt_one, Complex.convexHull_reProdIm, CPolynomialAt.add, HasFPowerSeriesAt.neg, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable_aux, curveIntegralFun_smul, addInvariantVectorField_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, Module.Basis.exists_opNorm_le, ClosedSubmodule.mem_orthogonal', meromorphicOrderAt_add_of_ne, fourierIntegral_gaussian_innerProductSpace', ProbabilityTheory.integral_gaussianReal_eq_integral_smul, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, AnalyticOn.iteratedFDerivWithin, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, derivWithin_fun_const_smul_field, MeasureTheory.Measure.instIsAddLeftInvariantMeasure, MeasureTheory.IntegrableOn.smul_continuousOn, InnerProductSpace.canonicalCovariantTensor_eq_sum, Differentiable.fderiv_norm_rpow, combo_mem_ball_of_ne, FDerivMeasurableAux.le_of_mem_A, UnitAddTorus.mFourierSubalgebra_coe, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, curveIntegrable_fun_neg_iff, HasStrictDerivAt.pow', Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two, iteratedDerivWithin_tsum_cexp_eq, fourierCoeff.sum, ContinuousLinearEquiv.coe_toDiffeomorph_symm, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, TensorProduct.ext_iff_inner_right_threefold', CurveIntegrable.zero, ContinuousMultilinearMap.contDiffAt, ProbabilityTheory.hasGaussianLaw_iff_charFun_map_eq, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, Complex.hasSum_taylorSeries_on_ball, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', HasFPowerSeriesOnBall.restrictScalars, GaussianFourier.integral_cexp_neg_mul_sq_norm_add, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, HasFDerivAtFilter.const_add, PeriodPair.weierstrassP_coe, ZSpan.smul, Meromorphic.fun_sum, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, Module.Basis.ofZLatticeComap_apply, conformal_const_smul, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, ClosedSubmodule.inf_orthogonal, NormedAddCommGroup.summable_imp_tendsto_iff_completeSpace, HasFDerivAtFilter.const_sub, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, ContinuousLinearMap.isPositive_natCast, tendsto_birkhoffAverage_apply_sub_birkhoffAverage, ContinuousMultilinearMap.opNorm_zero_iff, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, hasFDerivWithinAt_comp_smul_iff_smul, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Submodule.starProjection_comp_starProjection_eq_zero_iff, FDerivMeasurableAux.differentiable_set_subset_D, sum_cauchyPowerSeries_eq_integral, MeasureTheory.condExpIndL1_add, SchwartzMap.laplacianCLM_eq, fderiv_fun_smul, CStarModule.innerSL_apply, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivAt, MeromorphicOn.fun_smul, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, LinearIsometryEquiv.conjStarAlgEquiv_apply, MeasureTheory.smul_convolution, Bundle.ContinuousLinearMap.vectorBundle, Real.vector_fourierIntegral_eq_integral_exp_smul, VectorField.mlieBracketWithin_const_smul_right, PadicInt.mahlerTerm_apply, iteratedFDerivWithin_comp_add_right', HasFDerivAt.le_of_lipschitzOn, MDifferentiable.sum, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.ConvolutionExistsAt.integrable, Complex.taylorSeries_eq_of_entire, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, Real.fourier_real_eq_integral_exp_smul, ProbabilityTheory.covarianceOperator_apply, InnerProductGeometry.angle_smul_left_of_neg, PadicInt.coe_sum, MeasureTheory.integral_tilted, ContDiffAt.laplacian_CLM_comp_left, Matrix.exp_conj', CStarAlgebra.span_nonneg_inter_unitBall, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, Function.HasTemperateGrowth.sum, HasFDerivWithinAt.comp_of_tendsto, smul_unitClosedBall, MeasureTheory.average_mem_openSegment_compl_self, TestFunction.continuous_iff_continuous_comp, isSelfAdjoint_iff_isStarNormal_and_spectrumRestricts, HasFiniteFPowerSeriesOnBall.sum, HasStrictFDerivAt.const_mul, MeasureTheory.L1.integral_smul, MeasureTheory.Measure.toSphere_real_apply_univ, DifferentiableOn.smul_const, LinearMap.IsSymmetricProjection.ext_iff, ConvexOn.univ_sSup_of_countable_affine_eq, RCLike.hasSum_ofReal, Matrix.PosSemidef.commute_iff, TestFunction.toBoundedContinuousFunctionCLM_apply, Conformal.const_smul, MeasureTheory.Lp.instFourierInvSMul, IsLocalFrameOn.coeff_apply_of_mem, ClosedSubmodule.orthogonal_injective, Orientation.oangle_neg_right, ContinuousLinearEquiv.hasTemperateGrowth, ContinuousMap.summable_of_locally_summable_norm, HasFDerivAt.finset_prod, SchwartzMap.fderivCLM_apply, ContinuousLinearMap.smul_compLp, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.contMDiff, ContinuousLinearMap.mdifferentiable, HasStrictFDerivAt.fun_sum, HasSum.hasSum_at_zero, Pretrivialization.continuousLinearMap_symm_apply', HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, VectorBundleCore.coordChange_self, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, MeasureTheory.integral_union_ae, fderiv_const_smul_field, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, instContMDiffAddSelf, LinearIsometry.map_starProjection', MeromorphicOn.fun_add, tendsto_integral_exp_inner_smul_cocompact_of_continuous_compact_support, DifferentiableAt.fderiv_prodMk, ContDiffWithinAt.laplacianWithin_add, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, AddCircle.integral_haarAddCircle, VectorBundleCore.localTriv_continuousLinearMapAt, hasFDerivWithinAt_inv, hasSum_nat_jacobiTheta, InnerProductSpace.HarmonicAt.const_smul, DoubleCentralizer.pow_snd, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, Submodule.symmetric_isOrtho, Real.fourier_deriv, iteratedDeriv_scomp_three, fderiv_fun_pow', hasDerivWithinAt_pi, MeromorphicOn.add, DifferentiableAt.add_const, Real.integrable_prod_sub, Orientation.oangle_smul_left_of_neg, HasFDerivWithinAt.csin, MDifferentiable.smul, norm_smul_inv_norm, ContinuousLinearEquiv.comp_hasFDerivAt_iff, tendstoUniformly_tsum_nat, ContinuousLinearMap.eq_adjoint_iff, hasMFDerivAt_sumSwap, PeriodPair.hasSum_derivWeierstrassPExcept, Orientation.norm_div_cos_oangle_add_left_of_oangle_eq_pi_div_two, Orientation.volumeForm_map, MeasureTheory.Measure.addHaar_ball_of_pos, SchwartzMap.toLpCLM_apply, dist_birkhoffSum_birkhoffSum_le, LinearMap.IsSymmetric.directSum_decompose_apply, VectorBundleCore.localTriv_symmL, derivWithin.scomp, TangentBundle.symmL_trivializationAt_eq_core, DifferentiableOn.circleIntegral_sub_inv_smul, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, ContinuousLinearMap.IsPositive.smul_of_nonneg, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto, fderiv_add_const, AnalyticOn.iteratedFDerivWithin_comp_perm, LinearMap.polar_singleton, Orientation.oangle_add_right_eq_arcsin_of_oangle_eq_pi_div_two, Unitary.coe_linearIsometryEquiv_apply, BoxIntegral.integral_add, MeasureTheory.convolution_tendsto_right, Submodule.reflection_singleton_apply, MeasureTheory.condExpIndL1Fin_add, smul_unitClosedBall_of_nonneg, HasFTaylorSeriesUpToOn.zero_eq', fderiv_sum, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, interior_convexHull_nonempty_iff_affineSpan_eq_top, DifferentiableWithinAt.fderivWithin_prodMk, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero, HasFiniteFPowerSeriesAt.finite, HasFDerivWithinAt.const_mul, isClosed_setOf_tendsto_birkhoffAverage, MeasureTheory.weightedSMul_nonneg, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, FormalMultilinearSeries.id_apply_one', TangentBundle.continuousLinearMapAt_trivializationAt_eq_core, ContinuousMultilinearMap.norm_smulRightL_le, HasSummableGeomSeries.summable_geometric_of_norm_lt_one, tensorIteratedFDerivTwo_eq_iteratedFDeriv, tsum_geometric_of_norm_lt_one, AnalyticOnNhd.iteratedFDeriv, WeakFEPair.h_feq, DoubleCentralizer.nnnorm_snd, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', HasStrictFDerivAt.star, Module.Basis.parallelepiped_reindex, Submodule.reflection_apply, Real.circleAverage_sum, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegralFun_segment, ZMod.completedLFunction_def_even, SchwartzMap.integral_fourierInv_smul_eq, RCLike.reCLM_norm, Besicovitch.SatelliteConfig.exists_normalized_aux2, differentiable_finCons', Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, HasDerivAtFilter.add, curveIntegral_neg, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_integrableOn, HasFDerivAt.sub, circleIntegral.integral_fun_sum, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, LinearIsometryEquiv.lTensor_apply, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, mfderiv_comp_of_eq, MeasureTheory.SignedMeasure.toComplexMeasure_apply, ModularForm.tsum_logDeriv_eta_q, InnerProductSpace.gramSchmidt_def, EisensteinSeries.summable_left_one_div_linear_sub_one_div_linear, HasFDerivAt.star, CStarMatrix.toCLM_injective, iteratedFDerivWithin_succ_const, Complex.integral_circleTransform, ContinuousLinearMap.isPositive_self_comp_adjoint, iteratedDeriv_scomp_eq_sum_orderedFinpartition, trivialization_linear, formalMultilinearSeries_geometric_apply_norm_le, ContinuousLinearMap.hasFPowerSeriesAt, Bundle.Trivial.continuousLinearMapAt_trivialization, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, LinearMap.adjoint_toContinuousLinearMap, hasDerivAt_iff_isLittleO, Unitary.linearIsometryEquiv_coe_apply, LDL.lowerInv_eq_gramSchmidtBasis, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, hasStrictFDerivAt_pi', HasFDerivAtFilter.neg, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, HasFPowerSeriesOnBall.const_smul, Orientation.abs_volumeForm_apply_of_orthonormal, ContinuousLinearMap.toSesqForm_apply_coe, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, ContinuousMultilinearMap.curry0_apply, HasFDerivWithinAt.fun_const_smul, norm_iteratedFDerivWithin_zero, iteratedFDerivWithin_of_isOpen, HasStrictFDerivAt.const_smul, HasFPowerSeriesWithinOnBall.fderivWithin, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, HasFDerivAt.multilinear_comp, BoxIntegral.hasIntegral_GP_pderiv, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, SchwartzMap.integral_bilin_fourierIntegral_eq, fourier_gaussian_innerProductSpace, ValueDistribution.logCounting_add_top_le, analyticOrderAt_add_eq_left_of_lt, NormedRing.inverse_one_sub_nth_order, HasStrictDerivAt.fun_sum, LinearIsometryEquiv.adjoint_eq_symm, DifferentiableWithinAt.sum, NumberField.mixedEmbedding.negAt_apply_snd, extDeriv_fun_smul, TensorProduct.mapIsometry_id_id, ContinuousAlternatingMap.toAlternatingMap_curryLeft, Matrix.toEuclideanLin_apply, IsContDiffImplicitAt.hasFDerivAt, iteratedDerivWithin_eq_iteratedFDerivWithin, HasFDerivWithinAt.mul, Submodule.IsOrtho.orthogonalProjection_comp_subtypeL, LinearMap.IsPositive.isPositive_smul_iff, ContinuousLinearMap.sSup_sphere_eq_nnnorm, analyticOrderAt_smul_eq_top_of_left, VectorFourier.fourierPowSMulRight_eq_comp, IsEquivalent.summable_iff_nat, MeasureTheory.charFunDual_eq_charFun_map_one, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, hasFDerivWithinAt_pi', HasFDerivWithinAt.multiset_prod, IsHilbertSum.hasSum_linearIsometryEquiv_symm, ContinuousLinearMap.opNorm_mul, Submodule.IsOrtho.map_iff, DoubleCentralizer.smul_toProd, fderivWithin_pi, mfderivWithin_projIcc_one, InnerProductSpace.harmonicOnNhd_comp_CLE_iff, sameRay_iff_inv_norm_smul_eq_of_ne, CuspForm.coe_trace, EisensteinSeries.e2Summand_summable, norm_sum_lt_of_strictConvexSpace, UniformConvexOn.strictConvexOn, TemperedDistribution.smulLeftCLM_neg, tendstoUniformly_tsum_of_cofinite_eventually, Orientation.oangle_sign_sub_smul_left, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge', MeasureTheory.SimpleFunc.integral_eq_sum_filter, HasFDerivAt.arctan, fderivWithin_star, DoubleCentralizer.toProdMulOpposite_injective, deriv_const_add', RCLike.conjCLE_apply, MeasureTheory.Measure.quasiMeasurePreserving_smul, ContMDiffAt.mfderiv_apply, hasFDerivAt_snd, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', DoubleCentralizer.norm_fst_eq_snd, MeasureTheory.L1.SimpleFunc.integral_add, Unitization.nnnorm_def, HasStrictFDerivAt.abs, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, Orientation.rightAngleRotation_def, ImplicitFunctionData.range_leftDeriv, HasFDerivAt.fun_smul, Function.HasTemperateGrowth.toTemperedDistribution_apply, Euclidean.closedBall_eq_image, ContinuousMultilinearMap.uncurrySum_apply, NumberField.mixedEmbedding.negAt_preimage, HasLineDerivAt.tendsto_slope_zero_right, ZLattice.comap_toAddSubgroup, NormedSpace.expSeries_summable, Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, RCLike.wInner_cWeight_eq_expect, Submodule.coe_orthogonalDecomposition_symm, Complex.starConvex_ofReal_slitPlane, PiTensorProduct.mapL_smul, SchwartzMap.integral_sesq_fourier_eq, MeasureTheory.aestronglyMeasurable_condExpL2, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, Submodule.orthogonalProjection_bot, Real.fderiv_fourier, DoubleCentralizer.norm_def', ApproximatesLinearOn.norm_fderiv_sub_le, MeasureTheory.charFunDual_pi', ContinuousLinearMap.adjointAux_norm, differentiable_apply, CStarMatrix.norm_def', NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, Submodule.range_starProjection, HurwitzZeta.hasSum_nat_sinZeta, MeasureTheory.Integrable.smul_bdd, MeasureTheory.Measure.addHaar_ball_mul, MeasureTheory.convolution_smul, ZLattice.module_finite, MeasureTheory.withDensityᵥ_add', LeftInvariantDerivation.lift_add, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, Pi.counit_eq_adjoint, WithLp.unitization_algebraMap, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.condExpInd_nonneg, HasFDerivAt.restrictScalars, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, ContinuousLinearMap.fpowerSeries_apply_zero, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux, Complex.taylorSeries_eq_on_ball', Orientation.areaForm_to_volumeForm, stereoInvFunAux_apply, StrongFEPair.functional_equation, VectorPrebundle.mk_contMDiffCoordChange, enorm_sum_le_of_le, Submodule.exists_add_mem_mem_orthogonal, extDerivWithin_constOfIsEmpty, Complex.summable_conj, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, ContinuousLinearMap.norm_iteratedFDerivWithin_comp_left, HasStrictFDerivAt.arsinh, MeasureTheory.withDensityᵥ_neg', PeriodPair.latticeBasis_zero, ZMod.LFunction_def_odd, iteratedDeriv_smul_const, circleIntegral.integral_sub_inv_smul_sub_smul, HasFDerivWithinAt.exp, ContinuousLinearMap.comp_memLp', HasStrictFDerivAt.list_prod', summable_mul_of_bigO_atTop, SchwartzMap.fourier_lineDerivOp_eq, DifferentiableAt.smul, Manifold.IsImmersionAtOfComplement.map_target_subset_target, Complex.starConvex_one_slitPlane, Asymptotics.IsEquivalent.add_isLittleO, ContinuousLinearMapWOT.inducingFn_apply, TemperedDistribution.instLineDerivLeftSMulReal, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, CStarMatrix.inner_toCLM_conjTranspose_left, Orientation.areaForm_neg_orientation, AffineBasis.interior_convexHull, EuclideanGeometry.inversion_vsub_center, MeasureTheory.Integrable.essSup_smul, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, MeasureTheory.pdf.integral_pdf_smul, ContMDiff.smul, EuclideanSpace.instFactEqNatFinrankFin, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, FormalMultilinearSeries.nnnorm_changeOrigin_le, hasStrictDerivAt_add_const_iff, Trivialization.continuousLinearEquivAt_apply, hasLineDerivWithinAt_smul_iff, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, Finsupp.sum_inner, TemperedDistribution.fourierInv_lineDerivOp_eq, MDifferentiable.const_smul, hasMFDerivAt_fst, MeasureTheory.condExpL2_indicator_ae_eq_smul, mfderivWithin_comp_projIcc_one, conformalAt_const_smul, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, InnerProductGeometry.tan_angle_add_mul_norm_of_inner_eq_zero, FormalMultilinearSeries.rightInv_removeZero, geom_series_succ, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', Complex.hasStrictFDerivAt_cpow', NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, MeromorphicAt.fun_smul, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, HasDerivAt.add, SchwartzMap.smulLeftCLM_real_smul, Real.dimH_univ_eq_finrank, Submodule.le_orthogonal_orthogonal, MeasureTheory.Measure.integral_comp_inv_mul_left, ContDiffBump.measure_closedBall_div_le_integral, Orientation.kahler_eq_zero_iff, AddChar.sum_apply_eq_ite, EulerProduct.eulerProduct_completely_multiplicative, PositiveLinearMap.preGNS_norm_def, LinearMap.eq_adjoint_iff_basis_left, contDiff_succ_iff_fderiv, BoxIntegral.integralSum_add, PositiveLinearMap.leftMulMapPreGNS_apply, ContinuousLinearEquiv.comp_differentiableOn_iff, tsum_geometric_le_of_norm_lt_one, MeasureTheory.measure_smul_average, MeasureTheory.condExpL1CLM_of_aestronglyMeasurable', MDifferentiableOn.smul, hasMellin_add, InnerProductSpace.HarmonicOnNhd.comp_CLM, ZLattice.rank, Orientation.oangle_sign_sub_smul_right, HasMFDerivAt.neg, ProperCone.innerDual_sUnion, Complex.integral_comp_polarCoord_symm, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_neg, ZSpan.quotientEquiv_apply_mk, HasFDerivAt.fun_const_smul, PeriodPair.ω₂_div_two_notMem_lattice, Orientation.oangle_smul_left_self_of_nonneg, UnitAddTorus.mFourierCoeff_toLp, Manifold.pathELength_def, iteratedDerivWithin_const_add, PeriodPair.hasSum_derivWeierstrassP, Orientation.areaForm_swap, curveIntegral_fun_smul, MeasureTheory.integral_biUnion_finset, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, ContinuousLinearMap.holderₗ_apply_apply, hasFDerivAt_add_const_iff, taylor_tendsto, PeriodPair.compl_lattice_diff_singleton_mem_nhds, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, dslope_sub_smul, ext_inner_map, ProbabilityTheory.covarianceOperator_zero, ContinuousMultilinearMap.curryRight_norm, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, deriv_fun_smul, Submodule.instHasOrthogonalProjectionOfCompleteSpace, DifferentiableAt.const_add, FDerivMeasurableAux.norm_sub_le_of_mem_A, HasFDerivAt.add, ContinuousLinearMap.deriv, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, MeasureTheory.convolution_lsmul, PeriodPair.hasSumLocallyUniformly_derivWeierstrassP, Complex.sameRay_of_arg_eq, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, curveIntegral_fun_zero, ContDiffWithinAt.continuousWithinAt_iteratedFDerivWithin, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, LinearMap.nonneg_iff_isPositive, Orientation.kahler_swap, coe_innerSL_apply, strongConcaveOn_zero, HasFDerivWithinAt.const_sub, integral_withDensity_eq_integral_smul, intervalIntegral.integral_comp_add_div, LinearMap.IsSymmetric.inner_map_self_eq_zero, ContinuousLinearMap.isCompact_image_coe_closedBall, OrthonormalBasis.prod_apply, iteratedFDeriv_add_apply, deriv_fderiv, summable_mul_of_summable_norm, BoundedContinuousFunction.instIsOrderedAddMonoid, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux1, InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero, Orientation.rotation_rotation, cauchyPowerSeries_apply, summable_eisSummand, HasFDerivAt.sum, ContinuousLinearMap.isClosed_image_coe_closedBall, DoubleCentralizer.central, ModelWithCorners.hasMFDerivAt, MeasureTheory.integral_condExpL2_eq, HasFPowerSeriesOnBall.coeff_zero, ContinuousLinearMap.instStarOrderedRing, BoxIntegral.HasIntegral.smul, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, TemperedDistribution.instFourierSMul, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, DifferentiableAt.add_iff_left, VectorBundleCore.localTriv_symm_fst, EuclideanGeometry.oangle_add, range_cfcₙHom, tendsto_tsum_of_dominated_convergence, HasMFDerivWithinAt.prodMap, hasFPowerSeriesOnBall_const, HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re, DifferentiableAt.fun_add, Real.Angle.sin_add_pi, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, TensorProduct.lidIsometry_apply, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, ContinuousLinearMap.hasDerivAt, Trivialization.comp_continuousLinearEquivAt_eq_coord_change, MeasureTheory.Measure.integral_comp_smul_of_nonneg, convex_halfSpace_re_le, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, DiffContOnCl.circleIntegral_sub_inv_smul, PadicInt.fwdDiff_tendsto_zero, intervalIntegral.hasSum_intervalIntegral_of_summable_norm, CompletelyPositiveMap.instLinearMapClassComplex, EulerProduct.eulerProduct_hasProd, iteratedFDeriv_sum, LinearMap.IsPositive.inner_nonneg_left, tensorIteratedFDerivWithinTwo_eq_iteratedFDerivWithin, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, iteratedFDerivWithin_comp_add_left, MDifferentiableAt.add, ContinuousLinearMap.instCStarRingId, NormedSpace.eq_zero_iff_forall_dual_eq_zero, hasFDerivAt_finCons, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, HasMFDerivWithinAt.neg, hasFDerivWithinAt_finCons, norm_injOn_ray_right, MeasureTheory.setIntegral_condExpL2_indicator, PeriodPair.mem_lattice, fderiv_smul, BoundedContinuousFunction.mem_charPoly, stereographic_apply_neg, instCountable_of_discrete_submodule, OrthonormalBasis.orthogonalProjection_apply_eq_sum, Orientation.kahler_comp_rightAngleRotation, hasMFDerivAt_inr, EisensteinSeries.tsum_symmetricIco_linear_sub_linear_add_one_eq_zero, differentiable_snd, BoundedContinuousFunction.charAlgHom_apply, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left, iteratedFDerivWithin_const_smul_apply, HasFDerivWithinAt.star, ArithmeticFunction.vonMangoldt.residueClass_apply, MeasureTheory.lpNorm_add_le, Matrix.PosSemidef.trace_eq_zero_iff, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, ContinuousAlternatingMap.curryLeft_apply_apply, affinity_unitClosedBall, ContinuousLinearMap.contDiffPointwiseHolderAt, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, mfderivWithin_sumInr, ContDiffBump.normed_le_div_measure_closedBall_rOut, Bundle.Trivial.vectorBundle, ContDiffMapSupportedIn.coe_smul, PadicInt.mahlerSeries_apply, HasFPowerSeriesOnBall.comp_sub, HasDerivWithinAt.fun_pow', PeriodPair.analyticOnNhd_derivWeierstrassPExcept, AddCircle.ergodic_nsmul_add, MeasureTheory.integral_singleton', PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Orientation.volumeForm_zero_pos, Real.Angle.cos_add_pi, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, HasFDerivWithinAt.const_smul, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, meromorphicOrderAt_add_eq_left_of_lt, ContinuousLinearEquiv.hasMFDerivAt, MeasureTheory.ConvolutionExistsAt.integrable_swap, SchwartzMap.laplacianCLM_eq', VectorBundleCore.trivializationAt_coordChange_eq, EuclideanGeometry.oangle_add_swap, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, norm_inner_eq_norm_iff, Real.circleAverage_eq_circleIntegral, HasFiniteFPowerSeriesOnBall.eq_partialSum, tsum_mul_tsum_of_summable_norm, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, meromorphicOrderAt_add, Real.Angle.cos_add_pi_div_two, MeasureTheory.charFunDual_prod, ContinuousLinearMap.measurable_apply₂, IsLocalFrameOn.coeff_congr, continuousOn_tangentCoordChange, nnnorm_cfcₙ_nnreal_lt, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, HasFDerivAt.comp_hasFDerivWithinAt, lp.hasSum_single, FiniteDimensional.RCLike.properSpace_submodule, Real.Angle.coe_add, Function.hasTemperateGrowth_iff_isBigO, range_stereographic_symm, EisensteinSeries.G2_eq_tsum_symmetricIco, Complex.equivRealProdCLM_symm_apply, MeasureTheory.integral_smul, Complex.cos_eq_tsum', mellinInv_eq_fourierIntegralInv, iteratedFDerivWithin_neg_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, ProbabilityTheory.strong_law_ae, HasDerivWithinAt.fun_finset_prod, DifferentiableWithinAt.prodMk, cot_series_rep', Module.Basis.prod_addHaar, NumberField.canonicalEmbedding.integralBasis_repr_apply, ZSpan.measureReal_fundamentalDomain, EuclideanGeometry.orthogonalProjection_apply', SmoothPartitionOfUnity.contDiffAt_finsum, ContMDiffAt.smul, isOpenEmbedding_stereographic_symm, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, intervalIntegral.integral_add_adjacent_intervals, HasFPowerSeriesOnBall.fderiv_eq, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, strictConvex_closedBall, MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaar, PositiveLinearMap.instContinuousLinearMapClassComplexOfLinearMapClassOfOrderHomClass, mfderivWithin_comp_of_preimage_mem_nhdsWithin_of_eq, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, isBigO_rpow_top_log_smul, HasDerivAtFilter.fun_add, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, MeromorphicAt.sum, PeriodPair.basis_zero, mfderiv_prod_eq_add_comp, ContinuousLinearMap.fderiv_of_bilinear, TestFunction.coe_smul, has_fderiv_at_filter_real_equiv, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.setIntegral_condExpInd, Real.circleAverage_fun_sum, ContinuousLinearMap.isPositive_def, InnerProductGeometry.norm_add_eq_add_norm_of_angle_eq_zero, ContinuousLinearEquiv.hasMFDerivWithinAt, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, fderiv_mul_const', tendsto_integral_exp_smul_cocompact, MeasureTheory.integral_comp_rpow_Ioi_of_pos, EulerProduct.eulerProduct, EisensteinSeries.summable_of_isBigO_rpow_norm, Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, SchwartzMap.toBoundedContinuousFunctionCLM_apply, hasSum_jacobiTheta₂_term, curveIntegral_segment, TestFunction.postcompCLM_apply, hasFDerivAt_jacobiTheta₂_term, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, Submodule.starProjection_top', ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, HasFDerivWithinAt.abs_of_neg, OrthonormalBasis.toBasis_mulOpposite, Submodule.adjoint_subtypeL, hasStrictFDerivAt_exp, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, IsCoercive.range_eq_top, AnalyticOn.fderivWithin, LinearMap.isSymmetric_adjoint_mul_self, InnerProductGeometry.angle_add_le_pi_div_two_of_inner_eq_zero, gelfandStarTransform_symm_apply, Sbtw.oangle_eq_add_pi_right, ContinuousLinearMap.norm_smulRightL, mul_neg_geom_series, ContinuousLinearEquiv.uniqueDiffOn_image, mfderiv_comp_mfderivWithin, Orientation.oangle_eq_zero_iff_sameRay, MeasureTheory.Submartingale.add_martingale, Submodule.reflection_orthogonalComplement_singleton_eq_neg, ContinuousLinearEquiv.comp_fderiv, RCLike.summable_ofReal, HasFDerivWithinAt.fun_smul, PadicInt.mahlerSeries_apply_nat, intervalIntegral.integral_deriv_comp_smul_deriv', VectorField.mpullback_add_apply, AnalyticOn.compContinuousLinearMap, MeasureTheory.convolution_def, Affine.Triangle.dist_circumcenter_reflection_orthocenter, HasStrictFDerivAt.prodMk, MeasureTheory.norm_condExpL2_coe_le, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, HurwitzZeta.hasSum_nat_completedCosZeta, tendsto_sub_mul_tsum_nat_cpow, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, BoxIntegral.Integrable.toBoxAdditive_apply, MeasureTheory.Submartingale.smul_nonneg, RCLike.imLm_coe, ContinuousMultilinearMap.uncurry0_norm, ContDiffOn.continuousOn_iteratedFDerivWithin, circleIntegral.integral_add, openSegment_subset_ball_of_ne, hasMFDerivWithinAt_inr, HasFPowerSeriesWithinOnBall.prod, NormedSpace.normalize_smul, IsBoundedBilinearMap.differentiableOn, HasDerivAt.fun_add, MeasureTheory.integrable_withDensity_iff_integrable_smul', ContMDiffVectorBundle.continuousLinearMap, Orientation.angle_eq_iff_oangle_eq_or_sameRay, NormedSpace.eq_iff_forall_dual_eq, IsMIntegralCurveOn.comp_mul, ContinuousLinearEquiv.integral_comp_comm, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Bundle.Trivial.linearMapAt_trivialization, HasFDerivWithinAt.neg, hasStrictDerivAt_const_add_iff, iteratedFDeriv_const_smul_apply, Summable_cotTerm, InnerProductGeometry.angle_eq_zero_iff, isBoundedBilinearMap_compMultilinear, ContinuousLinearEquiv.comp_right_fderiv, AnalyticAt.smul, hasLineDerivAt_smul_iff, Submodule.isIdempotentElem_starProjection, norm_cauchyPowerSeries_le, differentiableOn_finCons', VectorField.lieBracket_const_smul_left, sum_mul_eq_sub_integral_mul', hasFDerivAt_norm_rpow, dist_birkhoffAverage_apply_birkhoffAverage, MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum', mellinInv_eq_fourierInv, ZSpan.repr_ceil_apply, MeasureTheory.Measure.addHaar_preimage_continuousLinearMap, MeasureTheory.condExp_finset_sum, HasFPowerSeriesOnBall.uniform_geometric_approx, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ProperCone.innerDual_zero, DoubleCentralizer.neg_snd, summable_jacobiTheta₂_term_fderiv_iff, MeasureTheory.lpNorm_le_add_lpNorm_add, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ZLattice.comap_equiv_apply, sameRay_iff_of_norm_eq, ContinuousLinearMap.analyticAt, iteratedFDeriv_succ_const, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, IsOpen.exists_eq_add_of_fderiv_eq, ZLattice.FG, sum_inner, ProbabilityTheory.Kernel.integral_fn_integral_add_comp, MeasureTheory.Martingale.add, fourier_gaussian_innerProductSpace', ContDiffAt.iteratedFDeriv_right, HurwitzZeta.hasSum_nat_hurwitzZetaEven, VectorFourier.fourierIntegral_const_smul, HasFPowerSeriesWithinAt.fderivWithin_eq, ContDiffBump.convolution_tendsto_right, Matrix.linfty_opNNNorm_toMatrix, HasFTaylorSeriesUpToOn.cont, HurwitzZeta.hasSum_int_cosKernel, inCoordinates_apply_eq₂, ZMod.completedLFunction_def_odd, Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm, ContDiffAt.contDiffAt_norm_smul, Real.fourier_real_eq, AnalyticOnNhd.fderiv_of_isOpen, Asymptotics.IsEquivalent.smul, differentiableAt_apply, NormedSpace.expSeries_hasSum_exp, MeasureTheory.L1.integral_def, contDiffOn_infty_iff_fderivWithin, FormalMultilinearSeries.hasSum, ContinuousLinearMap.IsPositive.conj_adjoint, tangentMapWithin_snd, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, Matrix.toEuclideanCLM_toLp, WeakDual.CharacterSpace.homeoEval_naturality, hasSum_fourier_series_L2, CPolynomialOn.iteratedFDeriv, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, PeriodPair.isClosed_lattice, ContinuousLinearMap.isPositive_id, InnerProductGeometry.angle_add_eq_arctan_of_inner_eq_zero, FormalMultilinearSeries.coeff_eq_zero, ProbabilityTheory.covarianceBilin_zero, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIdealLattice, differentiableAt_pi'', RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, Real.tendsto_integral_gaussian_smul', HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, Real.hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, Real.finrank_eq_int_finrank_of_discrete, AddCircle.ergodic_add_left, LeftInvariantDerivation.evalAt_coe, derivWithin_const_add, Matrix.IsHermitian.trace_eq_sum_eigenvalues, Unitary.coe_symm_linearIsometryEquiv_apply, mfderivWithin_sumInl, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, HasFPowerSeriesOnBall.fderiv, LinearMap.adjoint_rTensor, ZSpan.measure_fundamentalDomain, MeasureTheory.integral_fintype_iUnion, convex_halfSpace_im_gt, hasGradientAt_iff_isLittleO_nhds_zero, BoundedContinuousFunction.toLp_inj, contDiffOn_nat_iff_continuousOn_differentiableOn, LinearMap.IsPositive.add, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, GaussianFourier.integrable_cexp_neg_mul_sum_add, HilbertBasis.hasSum_orthogonalProjection, LinearMap.adjoint_inner_right, Complex.hasStrictFDerivAt_cpow, iteratedFDeriv_const_smul_apply', InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, stereoInvFun_apply, analyticAt_smul, Manifold.IsImmersionAt.writtenInCharts, ProbabilityTheory.isGaussian_map_equiv_iff, DoubleCentralizer.range_toProd, Real.fourierIntegral_convergent_iff', BoundedContinuousFunction.toLp_injective, Unitization.splitMul_injective_of_clm_mul_injective, TensorProduct.ext_iff_inner_left_threefold', Submodule.isOrtho_sSup_right, LinearIsometry.lTensor_apply, AddChar.expect_apply_eq_zero_iff_ne_zero, ClosedSubmodule.bot_orthogonal_eq_top, ContinuousAlternatingMap.norm_curryLeft, MeasureTheory.integral_indicatorConstLp, tsum_pow_div_one_sub_eq_tsum_sigma, MeasureTheory.Measure.toSphere_apply_univ, Submodule.norm_sq_eq_add_norm_sq_starProjection, ContMDiffOn.coordChangeL, EisensteinSeries.linear_right_summable, MeasureTheory.charFunDual_eq_prod_iff, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, MeasureTheory.Measure.integral_comp_smul, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, InnerProductSpace.HarmonicOnNhd.add, mdifferentiableAt_hom_bundle, setIntegral_withDensity_eq_setIntegral_smul₀', innerSL_inj, PositiveLinearMap.preGNS_inner_def, MeasureTheory.condExpIndSMul_smul, hasDerivAt_add_const_iff, LSeries_eq_mul_integral_of_nonneg, MeasureTheory.Measure.hausdorffMeasure_smul₀, MeasureTheory.ae_ae_add_linearMap_mem_iff, real_inner_div_norm_mul_norm_eq_one_iff, HasFDerivWithinAt.cpow, TensorProduct.ext_iff_inner_left_threefold, MeasureTheory.lintegral_nnnorm_condExpL2_le, instContMDiffVectorBundleTopWithTopENatTangentSpaceOfIsManifold, PeriodPair.periodic_derivWeierstrassP, EisensteinSeries.summable_linear_left_mul_linear_left, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, DoubleCentralizer.add_fst, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', HasStrictFDerivAt.const_cpow, deriv_pi, LinearMap.IsSymmetric.coe_toSelfAdjoint, ContinuousLinearEquiv.iteratedFDerivWithin_comp_right, HasFDerivWithinAt.csinh, HasFPowerSeriesWithinAt.coeff_zero, TensorProduct.inner_lid_lid, DiffContOnCl.deriv_eq_smul_circleIntegral, OrthonormalBasis.toBasis_map, DifferentiableOn.deriv_eq_smul_circleIntegral, ContDiffMapSupportedIn.uniformSpace_eq_iInf, DifferentiableOn.add_const, hasFDerivAt_apply, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, cfcₙAux_id, riemannZeta_eulerProduct_exp_log, LinearMap.IsSymmetric.diagonalization_symm_apply, HasStrictFDerivAt.cexp, maximal_orthonormal_iff_basis_of_finiteDimensional, VectorField.mpullback_smul_apply, TensorProduct.norm_comm, contDiffWithinAt_iff_of_ne_infty, mfderiv_sumInl, AnalyticOnNhd.eval_linearMap, hasFTaylorSeriesUpToOn_pi', RCLike.rank_le_two, curveIntegral_segment_const, Differentiable.sum, mfderiv_sub, VectorBundleCore.localTriv_symm_apply, Memℓp.finset_sum, HasFDerivAt.abs, MeasureTheory.L1.integral_eq_setToL1, ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, ContinuousLinearMap.isPositive_toLinearMap_iff, BoxIntegral.BoxAdditiveMap.volume_apply, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, TestFunction.coe_ofSupportedInCLM, HasStrictFDerivAt.abs_of_neg, MeasureTheory.Integrable.toL1_smul, RCLike.reCLM_coe, HasFDerivWithinAt.abs, ContDiffBump.normed_convolution_eq_right, InnerProductSpace.toDual_apply, AddCircle.ergodic_add_right, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, ContinuousLinearMap.derivWithin, exists_mem_interior_convexHull_affineBasis, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, summable_of_ratio_test_tendsto_lt_one, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, isSymmSndFDerivAt_iff_iteratedFDeriv, IsGreatest.nnnorm_cfcₙ_nnreal, HasFDerivWithinAt.mul_const, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', EuclideanGeometry.angle_add_const, Real.fourierIntegral_iteratedDeriv, intervalIntegral.smul_integral_comp_mul_sub, iteratedDerivWithin_smul_const, MeasureTheory.hasFDerivAt_convolution_right_with_param, ContinuousLinearEquiv.differentiableAt, CStarAlgebra.span_nonneg_inter_unitClosedBall, ProbabilityTheory.IsGaussian.charFun_eq', InnerProductSpace.exists_of_rankOne_eq_rankOne, fderiv_pow', MeasureTheory.VectorMeasure.isSigmaSubadditiveSetFun_enorm, MeasureTheory.Lp.coeFn_smul, ProbabilityTheory.covarianceBilinDual_eq_covariance, ContMDiffAt.mfderiv_const, AnalyticOn.domDomCongr_iteratedFDeriv, MeasureTheory.condExpL1CLM_indicatorConstLp, LinearIsometryEquiv.reflections_generate, Submodule.map_orthogonal_equiv, Orientation.cos_oangle_add_left_of_oangle_eq_pi_div_two, mfderiv_prodMap, iteratedFDerivWithin_eq_equiv_comp, ContDiffAt.laplacian_add, summable_norm_sum_mul_range_of_summable_norm, Matrix.l2_opNNNorm_mulVec, Differentiable.fun_add, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, hasFDerivAt_prodMk_left, Orthonormal.inner_left_right_finset, MeasureTheory.integral_inter_add_diff, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, ClosedSubmodule.top_orthogonal_eq_bot, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, SchwartzMap.norm_iteratedFDeriv_le_seminorm, ProbabilityTheory.covarianceBilinDual_zero, Submodule.norm_orthogonalProjection_apply_le, Finsupp.inner_sum, LinearMap.deriv, VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas, HasFDerivWithinAt.inner, TensorProduct.norm_assoc, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet, zeta_eq_tsum_one_div_nat_cpow, TensorProduct.nnnorm_tmul, OrthonormalBasis.starProjection_eq_sum_rankOne, MeasureTheory.SimpleFunc.integral_eq_sum, DoubleCentralizer.smul_fst, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, iteratedDerivWithin_const_smul_field, tendstoUniformlyOn_tsum, DifferentiableWithinAt.fun_sum, hasFDerivWithinAt_finCons', VectorBundleCore.trivializationAt_continuousLinearMapAt, TangentBundle.coordChange_model_space, NormedSpace.normalize_smul_of_pos, ContinuousLinearMap.adjoint_inner_left, AddChar.sum_apply_eq_zero_iff_ne_zero, MeasureTheory.condExpInd_disjoint_union, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, ValueDistribution.proximity_sum_top_le, iteratedDerivWithin_sum, EulerProduct.eulerProduct_tprod, MeasureTheory.Lp.simpleFunc.add_toSimpleFunc, EuclideanGeometry.oangle_add_cyc3, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, MeasureTheory.Supermartingale.add_martingale, VectorFourier.fourierIntegral_add, intervalIntegral.integral_comp_smul_deriv'', WeakFEPair.Λ₀_eq, fdifferential_apply, InnerProductSpace.AlgebraOfCoalgebra.mul_def, fderivWithin_const_add, MeasureTheory.Submartingale.add, Filter.EventuallyEq.iteratedFDerivWithin, ProbabilityTheory.Kernel.integral_integral_add', intervalIntegral.integral_comp_smul_deriv, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, HasLineDerivWithinAt.smul, HasStrictDerivAt.sum, FormalMultilinearSeries.apply_eq_pow_smul_coeff, FormalMultilinearSeries.le_radius_compContinuousLinearMap, continuousMultilinearCurryFin0_symm_apply, MeasureTheory.setIntegral_condExpIndSMul, ContinuousLinearEquiv.integrable_comp_iff, MeasureTheory.weightedSMul_empty, AnalyticWithinAt.add, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, Affine.Simplex.mongePlane_def, Orientation.oangle_add_oangle_rev, MDifferentiableOn.coordChangeL, VectorField.lieBracketWithin_smul_left, VectorField.mlieBracketWithin_const_smul_left, ContinuousLinearMap.IsPositive.isSymmetric, HasStrictFDerivAt.clog, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, fderiv_fun_add, FormalMultilinearSeries.compAlongComposition_bound, HasFiniteFPowerSeriesOnBall.comp_sub, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, Trivialization.prod.isLinear, HasStrictDerivAt.smul, intervalIntegral.integral_comp_add_mul, constFormalMultilinearSeries_apply_zero, AnalyticAt.fun_smul, hasFTaylorSeriesUpToOn_top_iff', MeasureTheory.setIntegral_rnDeriv_smul, inTangentCoordinates_eq, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, HasStrictFDerivAt.sqrt, HasDerivWithinAt.complexToReal_fderiv, LinearMap.IsSymmetric.continuous, IsContMDiffRiemannianBundle.exists_contMDiff, DiffContOnCl.circleIntegral_one_div_sub_center_pow_smul, Complex.hasSum_ofReal, hasDerivAtFilter_add_const_iff, LinearIsometry.extend_apply, ProbabilityTheory.instIsGaussianMapHSub, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, ContinuousLinearMap.iteratedFDerivWithin_comp_left, HasDerivWithinAt.scomp_of_eq, MDifferentiableAt.const_smul, LinearMap.toSeminorm_comp, Submodule.isOrtho_top_left, MeasureTheory.SimpleFunc.integral_add_measure, contMDiffAt_coordChangeL, DiffContOnCl.const_smul, MeasureTheory.integral_image_eq_integral_abs_deriv_smul, HasFDerivWithinAt.fun_sub, HasStrictFDerivAt.rpow, VectorFourier.fourierIntegral_convergent_iff, InnerProductSpace.toDual_apply_apply, Real.Angle.sub_coe_pi_eq_add_coe_pi, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, ContinuousLinearMap.nonneg_iff_isPositive, integral_comp_polarCoord_symm, coe_lpBCFₗᵢ, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, Real.Angle.sin_eq_iff_coe_eq_or_add_eq_pi, Submodule.linearEquiv_det_reflection, HasFPowerSeriesAt.comp_sub, fderivWithin_fun_mul', Trivialization.symmL_continuousLinearMapAt, PeriodPair.differentiableOn_derivWeierstrassP, ProperCone.innerDual_singleton, PeriodPair.weierstrassPExcept_def, Submodule.IsOrtho.map, differentiable_inner, HasFPowerSeriesWithinOnBall.sub, HasLineDerivAt.tendsto_slope_zero_left, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, HasFDerivWithinAt.prodMk, LDL.lower_conj_diag, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', HurwitzZeta.hasSum_int_cosZeta, Submodule.toLinearMap_starProjection_eq_isComplProjection, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, hasStrictFDerivAt_finCons, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, HasDerivAt.smul_const, Diffeomorph.mfderivToContinuousLinearEquiv_coe, TensorProduct.nnnorm_map, Module.Basis.ofZLatticeBasis_span, IsLocalMinOn.hasFDerivWithinAt_nonneg, MeasureTheory.IsAddFundamentalDomain.setIntegral_eq_tsum, HasMFDerivAt.prodMap, WeakFEPair.h_feq', MeasureTheory.weightedSMul_null, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, Submodule.sub_starProjection_mem_orthogonal, ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three, contDiffOn_succ_iff_fderiv_of_isOpen, hasSum_jacobiTheta₂_term_fderiv, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, Module.Basis.addHaar_reindex, Orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, tendstoUniformlyOn_tsum_nat, dist_birkhoffAverage_birkhoffAverage, NumberField.mixedEmbedding.mem_span_latticeBasis, dslope_sub_smul_of_ne, deriv_add_const', Orientation.tan_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, fderiv_const_add, fderiv_mul', hasFDerivWithinAt_const_add_iff, UniformSpace.Completion.norm_toComplL, fderivWithin_const_smul_of_field, ProbabilityTheory.covarianceBilin_comm, HasStrictFDerivAt.ccos, ContinuousMap.toLp_def, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, VectorField.lieBracket_fmul_left, Complex.hasSum_sin, iteratedDerivWithin_fun_const_smul_field, HasFDerivAtFilter.sum, SchwartzMap.integral_bilin_fourier_eq, ContinuousLinearEquiv.contDiffPointwiseHolderAt, ContinuousMultilinearMap.analyticAt, MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum, hasMFDerivAt_id, ClosedSubmodule.orthogonal_eq_inter, PositiveLinearMap.toPreGNS_ofPreGNS, Orientation.kahler_neg_orientation, FormalMultilinearSeries.radius_inv_eq_limsup, HasFDerivWithinAt.cexp, hasFDerivWithinAt_iff_hasDerivWithinAt, AnalyticOnNhd.comp_sub, affinity_unitBall, MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum'', hasFTaylorSeriesUpToOn_succ_iff_right, EisensteinSeries.hasSum_e2Summand_symmetricIco, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, iteratedFDeriv_comp_add_left, ContinuousMultilinearMap.norm_map_init_le, ContinuousLinearMap.iteratedFDerivWithin_comp_right, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, hasMFDerivWithinAt_id, LeftInvariantDerivation.left_invariant'', ContinuousAlternatingMap.hasStrictFDerivAt, lp.coeFn_add, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', LinearIsometryEquiv.conjStarAlgEquiv_refl, CurveIntegrable.fun_zero, HasDerivAt.tendsto_slope_zero_left, InnerProductSpace.laplacian_smul, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', VectorField.mpullback_apply, LinearMap.IsSymmetric.toSelfAdjoint_apply, MeasureTheory.Lp.constₗ_apply, Submodule.coe_continuous_linearProjOfClosedCompl, hasSum_jacobiTheta₂'_term, InnerProductSpace.volume_ball, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, iteratedFDeriv_neg_apply, MeasureTheory.aemeasurable_fderivWithin, circleIntegral.norm_two_pi_i_inv_smul_integral_le_of_norm_le_const, Submodule.coe_orthogonalDecomposition, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, EisensteinSeries.q_expansion_riemannZeta, hasMFDerivWithinAt_fst, MeasureTheory.integral_finset_sum_measure, HasDerivAt.complexToReal_fderiv, differentiableAt_fst, ContinuousLinearMapWOT.isInducing_inducingFn, fderivWithin_fderivWithin_eq_of_eventuallyEq, PositiveLinearMap.exists_norm_apply_le, EulerProduct.eulerProduct_completely_multiplicative_tprod, DoubleCentralizer.star_fst, Real.fourierIntegral_real_eq_integral_exp_smul, differentiableOn_pi'', InnerProductSpace.laplacianWithin_smul, intervalIntegral.sum_integral_adjacent_intervals_Ico, EuclideanHalfSpace.convex, Submodule.finrank_orthogonal_span_singleton, summable_prod_mul_pow, RCLike.summable_conj, MeasureTheory.condExpIndSMul_add, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, ContinuousLinearMap.fpowerSeries_apply_add_two, iteratedDeriv_mul, TestFunction.coe_ofSupportedInLM, mfderivWithin_eventually_congr_set', Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, extDerivWithin_fun_smul, LinearMap.isPositive_natCast, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, TensorProduct.toLinearEquiv_congrIsometry, HasDerivAt.add_const, hasFDerivAt_exp_smul_const', iteratedFDerivWithin_one_apply, ContDiffWithinAt.domDomCongr_iteratedFDerivWithin, MeasureTheory.SignedMeasure.re_toComplexMeasure, TemperedDistribution.smulLeftCLM_sub, Submodule.isOrtho_iSup_left, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, IsCoercive.bounded_below, HurwitzZeta.hasSum_nat_cosZeta, ValueDistribution.proximity_add_top_le, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, Submodule.norm_subtypeL, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, fourierCoeff.const_smul, Submodule.mem_orthogonal', NumberField.mixedEmbedding.volume_preserving_negAt, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, MeasureTheory.memLp_finset_sum', setIntegral_withDensity_eq_setIntegral_toReal_smul₀', hasFDerivAt_finCons', LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, Asymptotics.isLittleO_sum_range_of_tendsto_zero, contDiffPointwiseHolderAt_iff, ContinuousLinearMap.IsStarNormal.orthogonal_range, hasSum_cauchyPowerSeries_integral, ContinuousLinearMap.aestronglyMeasurable_comp₂, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, MeasureTheory.integral_fintype, IsLocalMinOn.hasFDerivWithinAt_eq_zero, MDifferentiableOn.add, LinearMap.toMatrix_innerₛₗ_apply, NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, Matrix.exp_sum_of_commute, deriv_fun_add, strictConvexSpace_iff, intervalIntegral.smul_integral_comp_sub_mul, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, LSeries.term_convolution, HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, MeasureTheory.Measure.withDensityᵥ_absolutelyContinuous, TensorProduct.toLinearEquiv_commIsometry, fderiv_fun_sum, NumberField.mixedEmbedding.negAt_apply_isComplex, Complex.hasFDerivAt_cpow, ProbabilityTheory.isGaussian_iff_charFun_eq, Orientation.inner_rotation_pi_div_two_left_smul, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, Submodule.norm_sq_eq_add_norm_sq_projection, MeasureTheory.integral_finset_sum, smul_sphere, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, ValueDistribution.logCounting_add_analyticOn, tangentCoordChange_comp, Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two, HasFDerivWithinAt.fun_neg, LinearIsometry.norm_iteratedFDeriv_comp_left, HasStrictDerivAt.scomp_of_eq, HasStrictDerivAt.fun_finset_prod, fourierIntegral_eq_half_sub_half_period_translate, Submodule.orthogonal_gc, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2, IsLocalMax.hasFDerivAt_eq_zero, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, hasFDerivWithinAt_pow', ContDiffMapSupportedIn.structureMapLM_apply_withOrder, HasFTaylorSeriesUpToOn.continuousLinearMap_comp, MeasureTheory.condExpL1_add, hasStrictDerivAt_finCons', hasDerivWithinAt_taylorWithinEval_at_Icc, ProbabilityTheory.instIsGaussianDirac, dist_iteratedFDerivWithin_zero, curveIntegral_restrictScalars, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, HasFPowerSeriesOnBall.hasSum, Matrix.PosSemidef.toLinearMap₂'_zero_iff, Submodule.starProjection_isSymmetric, MeasureTheory.Lp.smul_zero, MeasureTheory.integrable_add_of_disjoint, convex_halfSpace_im_lt, HasFDerivAt.iterate, Submodule.starProjection_apply, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, Polynomial.rootSet_derivative_subset_convexHull_rootSet, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', VonNeumannAlgebra.mem_carrier, MemHolder.add, hasStrictDerivAt_finCons, HasFDerivAt.cexp, DoubleCentralizer.add_snd, intervalIntegral.integral_deriv_comp_smul_deriv, HasFDerivAt.ccos, MeasureTheory.norm_condExpInd_apply_le, hasFTaylorSeriesUpTo_top_iff', MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smul, norm_iteratedFDerivWithin_prod_le, fderivWithin_iteratedFDerivWithin, VectorField.leibniz_identity_mlieBracket, Orientation.rotation_neg_orientation_eq_neg, rescale_to_shell, ContinuousLinearMap.rayleighQuotient_add, ContinuousMultilinearMap.contDiff, hasFDerivAt_iff_tendsto, VonNeumannAlgebra.centralizer_centralizer, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, LSeriesSummable.sum, LinearMap.isSelfAdjoint_iff', FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm, ContinuousLinearMap.deriv_of_bilinear, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, HasFDerivWithinAt.log, Orientation.areaForm'_apply, VectorBundleCore.coe_coordChange, hasFDerivAtFilter_iff_hasDerivAtFilter, HasFDerivAt.clog, HurwitzZeta.hasSum_expZeta_of_one_lt_re, innerSLFlip_apply_apply, Continuous.cfcₙ_nnreal, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, Affine.Triangle.dist_orthocenter_reflection_circumcenter, iteratedDeriv_add, OrthogonalFamily.hasSum_linearIsometry, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, intervalIntegral.integral_smul_measure, signedDist_smul_of_pos, finrank_euclideanSpace, FormalMultilinearSeries.norm_compContinuousLinearMap_le, HurwitzZeta.hasSum_int_completedHurwitzZetaOdd, LinearMap.IsPositive.isSelfAdjoint, MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum', ContinuousLinearMap.bilinear_hasTemperateGrowth, Orientation.oangle_add_left_eq_arcsin_of_oangle_eq_pi_div_two, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, differentiableOn_add_const_iff, DoubleCentralizer.norm_snd, Submodule.top_orthogonal_eq_bot, ConvexOn.sSup_of_nat_affine_eq, Submodule.fst_orthogonalDecomposition_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, HasDerivAtFilter.scomp, DirichletCharacter.summable_neg_log_one_sub_mul_prime_cpow, Submodule.orthogonal_orthogonal_eq_closure, AnalyticOn.const_smul, ContinuousLinearEquiv.nhds, EisensteinSeries.linear_left_summable, Submodule.smul_starProjection_singleton, PeriodPair.hasSumLocallyUniformly_weierstrassPExcept, Finset.analyticOn_fun_sum, contMDiff_smul, MeasureTheory.dist_convolution_le, DoubleCentralizer.nnnorm_fst, MeasureTheory.integral_add_compl, ContinuousLinearMap.isUnit_iff_isUnit_toLinearMap, MeasureTheory.Measure.addHaar_real_closedBall', intervalIntegral.integral_hasStrictFDerivAt, TensorProduct.ext_iff_inner_right, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, fderivWithin_mul_const', ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_smul, Complex.ofRealCLM_apply, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, LinearEquiv.isPositive_symm_iff, ContinuousMultilinearMap.curryFinFinset_apply_const, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, Module.Basis.exists_opNNNorm_le, aestronglyMeasurable_smul_const_iff, Orthonormal.inner_finsupp_eq_sum_right, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, cfcHom_real_eq_restrict, intervalIntegral.inv_smul_integral_comp_sub_div, hasDerivWithinAt_taylor_coeff_within, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_left, ContinuousLinearMap.toLinearMap_innerSL_apply, UniformConvexOn.convexOn, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, AnalyticOn.smul, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, NumberField.Units.regOfFamily_of_isMaxRank, Complex.two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable, Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_two, Module.Basis.equivFunL_apply, ContinuousAt.cfcₙ_nnreal, IsBoundedBilinearMap.differentiableAt, hasFDerivAt_list_prod_finRange', Function.Periodic.intervalIntegral_add_eq_add, LinearMap.IsSymmetric.adjoint_eq, Trivialization.continuousLinearEquivAt_apply', LinearMap.isPositive_sum, Submodule.starProjection_norm_le, HasStrictFDerivAt.neg, mfderiv_add, HasGradientAt.hasFDerivAt, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, VectorField.mlieBracketWithin_add_left, LinearMap.hasDerivWithinAt, VectorField.lieBracket_add_left, summable_choose_mul_geometric_of_norm_lt_one, CStarMatrix.toCLM_apply_single, Differentiable.const_add, DifferentiableOn.add_iff_right, hasSum_two_pi_I_cauchyPowerSeries_integral, Real.fourier_fderiv, meromorphicOrderAt_add_of_top_left, FormalMultilinearSeries.comp_id, ContinuousMultilinearMap.hasStrictFDerivAt, Submodule.inner_orthogonalProjection_eq_of_mem_right, fderivWithin_comp_smul_eq_fderivWithin_smul, sameRay_iff_norm_add, Function.HasTemperateGrowth.add, ContinuousMap.adjoin_id_eq_span_one_union, IsSelfAdjoint.spectrumRestricts, VectorBundleCore.instContMDiffVectorBundle, Submodule.isOrtho_iff_le, MeasureTheory.condExp_smul, hasFTaylorSeriesUpTo_succ_nat_iff_right, iteratedFDeriv_add, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, HasFDerivWithinAt.norm_sq, tsum_riemannZetaSummand, hasFDerivWithinAt_piLp, MeasureTheory.norm_weightedSMul_le, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableOn_piLp, MeasureTheory.locallyIntegrable_finset_sum, ClosedSubmodule.iInf_orthogonal, Complex.summable_ofReal, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, ValueDistribution.characteristic_add_top_eventuallyLE, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, VectorBundle.continuousOn_coordChange', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ZSpan.coe_floor_self, HasFDerivWithinAt.smul_const, ContinuousLinearMap.mfderiv_eq, MeasureTheory.integral_posConvolution, hasFDerivAt_const_add_iff, Matrix.PosDef.commute_iff, MeasureTheory.LocallyIntegrableOn.smul_continuousOn, SchwartzMap.fourierInv_lineDerivOp_eq, VectorFourier.integral_fourierIntegral_swap, RCLike.finrank_le_two, IsOpen.smul_sphere, EuclideanGeometry.Sphere.secondInter_smul, InnerProductSpace.harmonicAt_comp_CLE_iff, InnerProductSpace.coe_gramSchmidtBasis, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, ZMod.completedLFunction_eq, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, HasStrictFDerivAt.add, strongConcaveOn_iff_convex, iteratedFDeriv_eq_equiv_comp, sum_mul_eq_sub_integral_mul₀', MeasureTheory.condExpIndL1_smul, ZLattice.module_free, Unitization.norm_eq_sup, ProbabilityTheory.isGaussian_map, instIsZLatticeRealSpan, ContinuousMap.toLp_norm_eq_toLp_norm_coe, mfderivWithin_comp_of_preimage_mem_nhdsWithin, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, Fourier.fourierIntegral_const_smul, hasDerivAtFilter_iff_isLittleO, NormedSpace.expSeries_div_summable, intervalIntegral.sum_integral_adjacent_intervals, CStarMatrix.toCLM_apply_eq_sum, HasStrictFDerivAt.restrictScalars, HasFDerivAt.ccosh, summable_descFactorial_mul_geometric_of_norm_lt_one, Submodule.norm_starProjection, tsum_choose_mul_geometric_of_norm_lt_one, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, FormalMultilinearSeries.isLittleO_one_of_lt_radius, intervalIntegral.integral_finset_sum, HasDerivAtFilter.add_const, Meromorphic.fun_smul, MeasureTheory.weightedSMul_add_measure, Unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.Measure.NullMeasurableSet.const_smul, WithCStarModule.pi_norm, Orientation.oangle_neg_left, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, HasFDerivAt.abs_of_neg, ContDiffMapSupportedIn.locallyConvexSpace, hasFDerivWithinAt_comp_smul_smul_iff, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, fourierCoeff_toLp, ContinuousLinearMap.rayleighQuotient_le_norm, differentiableAt_const_add_iff, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, ContMDiffWithinAt.smul, OrthogonalFamily.summable_of_lp, ProbabilityTheory.IsGaussian.charFunDual_eq, Complex.tsum_exp_neg_quadratic, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', HasFPowerSeriesAt.apply_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', InnerProductGeometry.norm_div_sin_angle_add_of_inner_eq_zero, iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, norm_inner_eq_norm_tfae, Real.circleAverage_def, curveIntegral_fun_add, iteratedDeriv_vcomp_three, intervalIntegral.integral_smul, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, RCLike.sqrt_map, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, iteratedFDerivWithin_two_apply', MeasureTheory.integrable_add_iff_integrable_right', OpenPartialHomeomorph.MDifferentiable.comp_symm_deriv, HasStrictFDerivAt.arctan, curveIntegral_fun_neg, hasMFDerivAt_inl, PeriodPair.derivWeierstrassP_sub_coe, RCLike.inner_tmul_eq, deriv.scomp, HasStrictDerivAt.add, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAtFilter.const_smul, inr_comp_cfcₙHom_eq_cfcₙAux, not_sameRay_iff_of_norm_eq, differentiableAt_finCons, InnerProductSpace.gramSchmidt_triangular, Submodule.starProjection_map_apply, IsMIntegralCurveAt.hasMFDerivAt, HasFDerivAt.multiset_prod, MemHolder.smul, LinearMap.star_eq_adjoint, DifferentiableOn.const_add, PMF.integral_eq_tsum, SpectrumRestricts.real_iff, Matrix.l2_opNNNorm_mul, contDiffWithinAt_succ_iff_hasFDerivWithinAt', DiffContOnCl.circleAverage_smul_div, Complex.cosh_eq_tsum, IsLocalFrameOn.eventually_eq_sum_coeff_smul, Filter.EventuallyEq.iteratedFDerivWithin', contDiffOn_succ_iff_hasFDerivWithinAt, HasFDerivAt.mul_const, fderivWithin_add_const, VectorField.mlieBracket_add_right, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', intervalIntegral.integral_comp_div, InnerProductGeometry.norm_div_tan_angle_add_of_inner_eq_zero, ContinuousLinearMap.sSup_sphere_eq_norm, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, DoubleCentralizer.neg_toProd, FormalMultilinearSeries.radius_unshift, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, Orientation.oangle_sign_smul_left, Matrix.isPositive_toEuclideanLin_iff, ContDiffPointwiseHolderAt.continuousLinearMap_comp, HasDerivAtFilter.scomp_of_eq, ContinuousWithinAt.cfcₙ_nnreal, MeasureTheory.Integrable.bdd_smul, TensorProduct.enorm_tmul, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, HasDerivAt.scomp_hasDerivWithinAt_of_eq, ContinuousLinearMap.norm_inr, MeasureTheory.setAverage_eq, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, Submodule.starProjection_bot, ZSpan.isAddFundamentalDomain', continuousMultilinearCurryFin0_apply, CStarMatrix.ofMatrix_eq_ofMatrixL, EuclideanGeometry.oangle_add_oangle_add_oangle_eq_pi, HasFDerivWithinAt.const_add, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, HasFDerivWithinAt.mapsTo_tangent_cone, ValueDistribution.logCounting_add_top_eventuallyLE, NormedSpace.exp_sum, FormalMultilinearSeries.radius_neg, VectorPrebundle.pretrivialization_linear', HasFDerivWithinAt.mul_const', HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, homeomorphUnitSphereProd_symm_apply_coe, ProbabilityTheory.covarianceBilin_self_nonneg, HasStrictFDerivAt.iterate, taylorWithinEval_succ, MeasureTheory.IsFundamentalDomain.integral_eq_tsum'', Submodule.orthogonal_closure, HasDerivWithinAt.add, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, TensorProduct.inner_assoc_assoc, ContinuousMultilinearMap.curryMidEquiv_apply, MDifferentiableOn.sum, StrictConvexSpace.strictConvex_closedBall, tsum_of_enorm_bounded, Real.fourier_eq, ApproximatesLinearOn.lipschitz_sub, EuclideanQuadrant.convex, ContinuousMultilinearMap.iteratedFDeriv_eq, FormalMultilinearSeries.le_mul_pow_of_radius_pos, ZSpan.norm_fract_le, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, iteratedDeriv_const_add, Real.dimH_of_nonempty_interior, ContinuousLinearMap.analyticOnNhd_bilinear, ZSpan.fundamentalDomain_reindex, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', Orientation.oangle_sign_smul_add_smul_smul_add_smul, ProbabilityTheory.indepFun_iff_charFunDual_prod', Affine.Simplex.direction_mongePlane, DoubleCentralizer.algebraMap_snd, MeasureTheory.Measure.integral_comp_mul_left, ContinuousOn.continuousOn_iteratedFDerivWithin, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, ProbabilityTheory.covarianceBilinDual_self_eq_variance, RCLike.wInner_cWeight_const_left, HurwitzZeta.hasSum_int_sinKernel, ProperCone.innerDual_union, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, LinearMap.le_def, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, iteratedFDerivWithin_succ_apply_left, Orientation.areaForm_comp_linearIsometryEquiv, HasFDerivAtFilter.fun_const_smul, iteratedFDerivWithin_add_apply, hasStrictFDerivAt_norm_sq, MeasureTheory.condExp_add, Submodule.starProjection_unit_singleton, EuclideanGeometry.angle_const_add, intervalIntegral.integral_Iio_add_Ici, SchwartzMap.fourier_evalCLM_eq, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₂, LinearMap.adjoint_toSpanSingleton, DoubleCentralizer.one_snd, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, OrthonormalBasis.coe_toBasis, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Differentiable.add_iff_left, BoxIntegral.Integrable.sum_integral_congr, contDiffOn_infty_iff_fderiv_of_isOpen, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, Orientation.oangle_sign_smul_sub_left, ContinuousLinearEquiv.analyticOn, fderiv_pow_ring', QuasispectrumRestricts.real_iff, MeasureTheory.memL1_smul_of_L1_withDensity, analyticAt_iff_analytic_fun_smul, differentiableAt_piLp, Submodule.reflection_sub, MeasureTheory.Measure.toSphere_apply', TemperedDistribution.instLineDerivSMulReal, iteratedDeriv_comp_neg, cot_series_rep, SchwartzMap.evalCLM_apply_apply, HasFDerivAtFilter.fun_sub, OpenPartialHomeomorph.MDifferentiable.mfderiv_bijective, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, ClosedSubmodule.mem_orthogonal, DiffContOnCl.smul_const, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Filter.Tendsto.cfcₙ_nnreal, tendsto_integral_exp_smul_cocompact_of_inner_product, iteratedFDerivWithin_prodMk, LinearMap.re_inner_adjoint_mul_self_nonneg, differentiable_pi, MeasureTheory.integral_biUnion_eq_sum_powerset, HasFTaylorSeriesUpToOn.fderivWithin, CStarMatrix.toCLM_apply, ContinuousLinearEquiv.hasFDerivWithinAt, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, InnerProductGeometry.angle_add_lt_pi_div_two_of_inner_eq_zero, BoxIntegral.integralSum_biUnionTagged, Orientation.oangle_rotation_right, DoubleCentralizer.algebraMap_toProd, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, LinearMap.isPositive_self_comp_adjoint, RCLike.hasSum_conj, differentiableAt_norm_smul, instModuleFinite_of_discrete_submodule, FormalMultilinearSeries.id_comp, circleIntegral.integral_smul, Trivialization.baseSet_continuousLinearMap, ContinuousLinearMap.norm_map_tail_le, Real.circleAverage_eq_integral_add, HasFPowerSeriesAt.restrictScalars, contMDiffOn_symm_coordChangeL, HasFDerivWithinAt.sinh, tangentBundleCore_coordChange_model_space, intervalIntegral.inv_smul_integral_comp_div_sub, Module.Basis.prod_parallelepiped, ContinuousLinearMap.instStarModuleId, iteratedFDerivWithin_comp_add_right, lp.coeFn_sum, Polynomial.hasFDerivAt_aeval, contMDiffAt_hom_bundle, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDeriv_right, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, DoubleCentralizer.instIsCentralScalar, InnerProductGeometry.angle_add_pos_of_inner_eq_zero, ContDiffAt.restrictScalars_iteratedFDeriv, VectorField.leibniz_identity_mlieBracket_apply, continuous_tsum, InnerProductGeometry.tan_angle_add_of_inner_eq_zero, MeasureTheory.MemLp.continuousLinearMap_comp, ProbabilityTheory.IsGaussian.memLp_dual, norm_fderiv_iteratedFDeriv, curveIntegralFun_neg, MeasureTheory.Lp.norm_constL_le, PeriodPair.weierstrassP_add_coe, meromorphicOrderAt_smul, ProbabilityTheory.covarianceBilinDual_self_nonneg, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, hasFDerivAtFilter_snd, hasFDerivAt_pow, HasFDerivAt.log, TemperedDistribution.fourier_lineDerivOp_eq, convexHull_sphere_eq_closedBall, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', Matrix.l2_opNNNorm_def, hasMFDerivAt_const, MeasureTheory.charFunDual_map_const_add, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, MeasureTheory.charFunDual_map_add_const, ContinuousLinearMap.integrable_comp, ContinuousLinearMap.adjointAux_adjointAux, HasStrictFDerivAt.const_sub, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, MeasureTheory.integral_tsum_of_summable_integral_norm, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, HasStrictDerivAt.const_add, LinearMap.polar_gc, Orientation.rotation_trans, Meromorphic.fun_add, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ZSpan.span_top, analyticOrderAt_add_eq_right_of_lt, hasFDerivAt_single, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, MeasureTheory.condExpL2_indicator_of_measurable, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, Complex.hasDerivAt_logTaylor, ProbabilityTheory.covarianceBilin_real_self, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, LinearMap.eq_adjoint_iff, MeasureTheory.Lp.add_smul, MeasureTheory.martingalePart_add_predictablePart, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, deriv_smul, nnnorm_cfcₙ_nnreal_lt_iff, VectorField.mpullbackWithin_smul_apply, PositiveLinearMap.gnsStarAlgHom_apply, Real.fourier_iteratedDeriv, DifferentiableOn.fun_add_iff_right, MeasureTheory.Integrable.smul_of_top_left, MeasureTheory.integral_comp_rpow_Ioi, HasFDerivWithinAt.iterate, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, MeasureTheory.condExp_ae_eq_condExpL1CLM, HasMFDerivWithinAt.sum, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, OrthonormalBasis.tensorProduct_apply', ImplicitFunctionData.hasStrictFDerivAt, NumberField.mixedEmbedding.span_latticeBasis, ContinuousLinearMap.integral_comp_id_comm', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, HasFTaylorSeriesUpToOn.hasFDerivAt, mfderiv_prod_right, WeakFEPair.hf_zero, LinearIsometry.norm_toContinuousLinearMap_comp, hasStrictFDerivAt_inv, BoundedContinuousFunction.coeFn_toLp, hasFiniteFPowerSeriesAt_const, continuous_clm_apply, MeasureTheory.Integrable.toL1_smul', ContinuousLinearMap.hasTemperateGrowth, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, TestFunction.coe_add, ArithmeticFunction.IsMultiplicative.eulerProduct, Orientation.oangle_sub_right_smul_rotation_pi_div_two, MeasureTheory.LocallyIntegrable.integrable_smul_left_of_hasCompactSupport, LinearMap.isPositive_iff_complex, VectorFourier.fourierSMulRight_apply, ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, HasFDerivWithinAt.restrictScalars, DoubleCentralizer.pow_toProd, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, stereographic_neg_apply, StrongConcaveOn.strictConcaveOn, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, MeasureTheory.Measure.addHaar_image_linearMap, MeasureTheory.withDensityᵥ_neg, IsLocalFrameOn.coeff_apply_of_notMem, isSelfAdjoint_starProjection, InnerProductSpace.gramSchmidt_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Real.Angle.sin_add, VectorBundleCore.localTriv_coordChange_eq, ContinuousMultilinearMap.uncurryRight_apply, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.condExpL1CLM_indicatorConst, mfderivWithin_zero_of_not_mdifferentiableWithinAt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, fderiv_inv, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, differentiableWithinAt_iff_restrictScalars, Differentiable.prodMk, NormedSpace.normalize_smul_of_neg, ModelWithCorners.hasMFDerivWithinAt, derivWithin_comp_mul_left, MeasureTheory.L1.nnnorm_Integral_le_one, HasFDerivAt.exp, ContDiffWithinAt.laplacianWithin_CLM_comp_left, Manifold.riemannianEDist_def, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, HasFDerivAtFilter.prodMk, LinearIsometry.norm_iteratedFDerivWithin_comp_left, curveIntegralFun_fun_zero, derivWithin_fun_smul, MeasureTheory.integral_fun_norm_addHaar, HasFDerivAt.fun_pow', MeasureTheory.setIntegral_ge_of_const_le, HasDerivWithinAt.scomp_hasDerivAt_of_eq, ZSpan.map, DifferentiableAt.prodMk, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, MeasureTheory.weightedSMul_smul, HasMFDerivWithinAt.mul', ContinuousLinearEquiv.norm_symm_pos, MeasureTheory.integral_continuousLinearMap_prod, Submodule.sInf_orthogonal, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, UnitAddTorus.hasSum_mFourier_series_L2, ContinuousMultilinearMap.cpolynomialAt, Trivialization.continuousLinearMap_apply, ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, curveIntegralFun_def', NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, WithCStarModule.pi_inner, Orientation.areaForm_comp_rightAngleRotation, AnalyticAt.add, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Submodule.isOrtho_span, contDiffOn_fderiv_coord_change, ZSpan.exist_unique_vadd_mem_fundamentalDomain, HasFDerivAtFilter.fun_add, ZSpan.fundamentalDomain_subset_parallelepiped, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, sum_mem_ball_of_strictConvexSpace, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, HasFDerivWithinAt.hasDerivWithinAt, HasStrictDerivAt.smul_const, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, DifferentiableOn.add_iff_left, HasFiniteFPowerSeriesOnBall.neg, RCLike.conj_tsum, sum_mul_eq_sub_integral_mul₁, HasFDerivAtFilter.comp, MeasureTheory.average_union_mem_segment, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d, iteratedFDeriv_zero_apply, DifferentiableWithinAt.smul_const, LinearMap.polar_weak_closed, ContinuousLinearMap.le_def, Real.Angle.two_zsmul_eq_iff, coe_lpPiLpₗᵢ, MeasureTheory.rnDeriv_ae_eq_condExp, VectorBundleCore.localTriv_apply, Orientation.oangle_add_cyc3, MeasureTheory.integrable_add_const_iff, LinearMap.isPositive_zero, DoubleCentralizer.zero_fst, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, fderiv_update, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, ValueDistribution.characteristic_sum_top_le, TangentBundle.contMDiffVectorBundle, BoxIntegral.BoxAdditiveMap.toSMul_apply, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, fdifferential_comp, IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt, CStarMatrix.mul_entry_mul_eq_inner_toCLM, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, homeomorphSphereProd_symm_apply_coe, hom_trivializationAt, DifferentiableOn.fun_sum, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, HasFDerivAt.smul_const, MeasureTheory.integrable_tilted_iff, ContinuousLinearMap.norm_iteratedFDeriv_comp_left, ContinuousLinearMap.norm_uncurryMid, QuadraticForm.equivalent_sum_squares, RCLike.wInner_const_right, ProbabilityTheory.covarianceOperator_inner, InnerProductSpace.rankOne_def', EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one, ContinuousLinearMap.uncurryLeft_norm, Real.Angle.sign_pi_add, hasFDerivAtFilter_fst, Submodule.isClosed_orthogonal, differentiableWithinAt_comp_add_right, mellin_eq_fourierIntegral, Orientation.inner_rightAngleRotation_left, MeasureTheory.AEStronglyMeasurable.fourierPowSMulRight, HasFDerivAt.comp_hasDerivWithinAt, Orientation.cos_oangle_add_right_of_oangle_eq_pi_div_two, HasFDerivWithinAt.multilinear_comp, HasFPowerSeriesOnBall.tendstoUniformlyOn', Pretrivialization.continuousLinearMap.isLinear, HasFPowerSeriesWithinOnBall.const_smul, ProbabilityTheory.iIndepFun_iff_charFunDual_pi, InnerProductGeometry.angle_eq_angle_add_angle_iff, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, HurwitzZeta.hasSum_nat_completedSinZeta, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, EulerProduct.eulerProduct_hasProd_mulIndicator, HasFTaylorSeriesUpToOn.compContinuousLinearMap, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_top, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, MeromorphicAt.add, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.IsPositive.inner_nonneg_left, Real.fourierIntegral_eq', Real.circleAverage_fun_smul, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, HasFDerivAt.inner, LinearMap.adjoint_lTensor, intervalIntegral.integral_comp_smul_deriv', EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Complex.hasSum_taylorSeries_on_emetric_ball, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, MeasureTheory.integrable_withDensity_iff_integrable_smul, MeasureTheory.Integrable.convolution_integrand, HasFDerivAtFilter.star, BoxIntegral.integralSum_fiberwise, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, LinearMap.toMatrixOrthonormal_apply, hasFPowerSeriesOn_cauchy_integral, MeasureTheory.condExpL1CLM_lpMeas, Module.Basis.coe_parallelepiped, Submodule.isSymmetricProjection_starProjection, ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, contDiffOn_tsum_cexp, convex_halfSpace_re_ge, OrthogonalFamily.inner_sum, EuclideanGeometry.inversion_def, InnerProductSpaceable.parallelogram_identity, LinearMap.IsPositive.smul_of_nonneg, ValueDistribution.characteristic_add_top_le, ProbabilityTheory.covarianceBilin_apply_pi, PeriodPair.latticeBasis_one, HasStrictFDerivAt.fun_sub, SchwartzMap.integral_bilinear_laplacian_right_eq_left, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, iteratedDeriv_fun_const_smul_field, EuclideanSpace.inner_eq_star_dotProduct, ZLattice.covolume_eq_det_mul_measureReal, FormalMultilinearSeries.compAlongComposition_norm, Complex.circleIntegral_sub_center_inv_smul_eq_of_differentiable_on_annulus_off_countable, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', intervalIntegral.integral_comp_sub_mul, ContinuousLinearMap.isOpen_injective, ContDiff.continuous_iteratedFDeriv', OrthonormalBasis.sum_repr_symm, HasFDerivAt.const_mul, homeomorphUnitSphereProd_apply_fst_coe, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, PeriodPair.weierstrassP_sub_coe, VectorField.mlieBracket_add_left, ContDiffAt.laplacian_add_nhds, PadicInt.fwdDiff_iter_le_of_forall_le, Orientation.inner_smul_rotation_pi_div_two_right, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, ZSpan.instDiscreteTopologySubtypeMemSubmoduleIntSpanRangeCoeBasisRealOfFinite, UniformConcaveOn.concaveOn, Complex.conjCLE_nnorm, differentiable_const_add_iff, Pi.orthonormalBasis.toBasis, hasSum_geom_series_inverse, HasStrictDerivAt.complexToReal_fderiv', LinearIsometry.map_starProjection, IsLocalFrameOn.coeff_apply_zero_at, TangentBundle.continuousLinearMapAt_trivializationAt, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, fourierIntegral_gaussian_innerProductSpace, MeasureTheory.dist_convolution_le', le_analyticOrderAt_add, Real.circleAverage_smul, HasFDerivWithinAt.rpow_const, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, VectorField.lieBracket_const_smul_right, Asymptotics.IsBigO.hasFDerivWithinAt, LinearMap.continuous_of_nonzero_on_open, Submodule.inf_orthogonal, curveIntegral_trans, MeasureTheory.SignedMeasure.toComplexMeasure_apply_re, MeasureTheory.weightedSMul_union, hasSum_coe_mul_geometric_of_norm_lt_one, abs_signedDist_eq_dist_iff_vsub_mem_span, InnerProductSpace.innerSL_norm, MeasureTheory.uniformIntegrable_average, hasFDerivAt_exp_zero, fderiv_add, MeasureTheory.indicatorConstLp_add, SchwartzMap.le_seminorm, IsLocalDiffeomorph.mfderivToContinuousLinearEquiv_coe, DoubleCentralizer.nnnorm_fst_eq_snd, WithCStarModule.inner_single_right, VectorField.leibniz_identity_lieBracketWithin_of_isSymmSndFDerivWithinAt, Unitization.norm_def, EisensteinSeries.qExpansion_identity_pnat, Submodule.IsOrtho.le, Submodule.reflection_map, InnerProductSpace.span_gramSchmidt_Iic, MDifferentiableAt.smul, LinearMap.IsSymmetric.direct_sum_isInternal, Submodule.det_reflection, ContinuousLinearMap.measurable_apply, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, HasDerivAt.fun_sum, Orientation.kahler_rotation_left', MeasureTheory.setIntegral_rnDeriv_smul', zeta_eq_tsum_one_div_nat_add_one_cpow, IsBoundedBilinearMap.fderiv, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, ContinuousAlternatingMap.curryLeft_same, NumberField.mixedEmbedding.euclidean.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMultilinearMap.curryRight_apply, TensorProduct.inner_comm_comm, ContDiff.fourierPowSMulRight, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Submodule.inner_orthogonalProjection_eq_of_mem_left, ContMDiffWithinAt.mfderivWithin, convex_halfSpace_im_ge, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, HasFPowerSeriesOnBall.uniform_geometric_approx', intervalIntegral.smul_integral_comp_mul_left, Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent, hasSum_choose_mul_geometric_of_norm_lt_one', ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, HasFDerivAt.sinh, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, eventually_norm_symmL_trivializationAt_comp_self_lt, ContinuousLinearMap.IsPositive.add, HasFPowerSeriesWithinOnBall.comp_sub, not_sameRay_iff_abs_lt_norm_sub, HasFDerivAt.comp_hasDerivWithinAt_of_eq, ProbabilityTheory.IsGaussian.integral_dual, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', uniformConcaveOn_zero, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, CurveIntegrable.fun_neg, Orientation.abs_areaForm_le, PadicInt.hasSum_mahlerSeries, ZLattice.exists_forall_abs_repr_le_norm, ContDiffWithinAt.laplacianWithin_CLM_comp_left_nhds, SummableLocallyUniformlyOn.of_locally_bounded_eventually, mfderivWithin_const, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, hasStrictFDerivAt_pow', MeasureTheory.Measure.addHaar_image_continuousLinearEquiv, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, VectorPrebundle.exists_coordChange, DoubleCentralizer.one_fst, InnerProductGeometry.angle_smul_smul, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticWithinAt.comp_sub, MeasureTheory.integral_add_compl₀, HasDerivAtFilter.const_add, PeriodPair.hasSum_weierstrassP, convex_halfSpace_re_lt, linearIndependent_of_ne_zero_of_inner_eq_zero, InnerProductGeometry.cos_angle_add_mul_norm_of_inner_eq_zero, MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral, ModelWithCorners.convex_range, Quaternion.summable_coe, ContDiffMapSupportedIn.postcompCLM_apply, TemperedDistribution.smulLeftCLM_add, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, IsContDiffImplicitAt.bijective, PeriodPair.coeff_weierstrassPSeries, ProbabilityTheory.covarianceBilin_apply_basisFun, ContDiffBump.integral_normed_smul, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, PeriodPair.isOpen_compl_lattice_diff, ProbabilityTheory.instIsGaussianMapHAdd_1, Complex.restrictScalars_toSpanSingleton, Orientation.oangle_sign_smul_right, Orientation.normSq_kahler, ContinuousLinearEquiv.comp_right_differentiableOn_iff, OpenPartialHomeomorph.MDifferentiable.mfderiv_surjective, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, Complex.hasSum_cos', Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, ProbabilityTheory.IndepFun.charFunDual_map_add_eq_mul, PeriodPair.derivWeierstrassP_coe, HasFPowerSeriesOnBall.tendsto_partialSum, maximal_orthonormal_iff_orthogonalComplement_eq_bot, SmoothBumpFunction.contMDiff_smul, hasMFDerivWithinAt_const, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₁, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', MeasureTheory.Integrable.withDensityᵥ_trim_absolutelyContinuous, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, HasFPowerSeriesOnBall.factorial_smul, HasFDerivAt.const_smul, HasFDerivAt.hasLineDerivAt, derivWithin_pi, NumberField.mixedEmbedding.negAt_symm, HasFPowerSeriesWithinAt.prod, HasDerivWithinAt.pow', VectorFourier.contDiff_fourierIntegral, ContMDiffMap.coe_smul, iteratedFDeriv_succ_apply_right, Asymptotics.IsEquivalent.const_add_of_norm_tendsto_atTop, fourierSubalgebra_coe, Submodule.isOrtho_top_right, FormalMultilinearSeries.leftInv_coeff_one, AnalyticOn.add, Matrix.exp_conj, ContinuousLinearMap.hasMFDerivAt, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, TensorProduct.assocIsometry_apply, sameRay_iff_inv_norm_smul_eq, Matrix.toLin_conjTranspose, mdifferentiableOn_continuousLinearMapCoordChange, Orthonormal.inner_finsupp_eq_sum_left, BoxIntegral.integral_smul, hasFPowerSeriesAt_pi_iff, MeasureTheory.eLpNorm'_const_smul, ProbabilityTheory.integral_tilted_mul_eq_mgf, MeasureTheory.integral_simpleFunc_larger_space, ContDiffBump.apply, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, Orientation.oangle_sign_add_smul_left, HasFDerivAtFilter.add, HasFDerivAt.lim_real, differentiableAt_add_const_iff, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, LinearIsometryEquiv.rTensor_apply, AnalyticAt.comp_sub, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, MeasureTheory.withDensityᵥ_apply, HasFDerivAt.rpow_const, coord_norm', Trivialization.apply_eq_prod_continuousLinearEquivAt, ProperCone.relative_hyperplane_separation, HasFDerivWithinAt.comp, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, Complex.exp_sub_sum_range_succ_isLittleO_pow, tendstoUniformlyOn_tsum_of_cofinite_eventually, contDiff_clm_apply_iff, HasFPowerSeriesAt.hasFDerivAt, StrictConvex.linearIsometry_preimage, lp.summable_inner, hasStrictFDerivAt_finCons', analyticAt_iff_analytic_smul, spec_cfcₙAux, hasSum_sum_range_mul_of_summable_norm, MeromorphicOn.sum, ClosedSubmodule.orthogonal_eq_top_iff, eventually_enorm_mfderiv_extChartAt_lt, UniformConcaveOn.strictConcaveOn, QuadraticMap.lineDifferentiableAt, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, ContinuousOn.cfcₙ_nnreal', hasFDerivAt_exp_smul_const, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, coe_addEquiv_lpBCF_symm, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, hasFDerivAt_jacobiTheta₂, Orientation.rotation_eq_matrix_toLin, MeasureTheory.AEStronglyMeasurable.fourierSMulRight, FormalMultilinearSeries.zero_radius, oneTangentSpaceIcc_def, intervalIntegral.integral_const_of_cdf, dist_birkhoffSum_apply_birkhoffSum, MeasureTheory.ConvolutionExistsAt.add_distrib, IsSymmSndFDerivAt.iteratedFDeriv_cons, HasStrictFDerivAt.const_rpow, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, intervalIntegral.integral_const', InnerProductSpaceable.add_left, Complex.differentiable_on_off_countable_deriv_eq_smul_circleIntegral, ContinuousLinearMap.comp_analyticOn, MeasureTheory.integral_sum_measure, ModelWithCorners.hasMFDerivWithinAt_symm, intervalIntegral.integral_smul_deriv_eq_deriv_smul, Bundle.Trivial.trivialization.isLinear, DifferentiableAt.fun_sum, ContinuousLinearMap.coeFn_compLpL, hasStrictFDerivAt_list_prod_attach', VectorField.mlieBracketWithin_add_right, NumberField.mixedEmbedding.volume_negAt_plusPart, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, CircleIntegrable.sum, ClosedSubmodule.mem_orthogonal_iff, Orientation.oangle_sub_left_smul_rotation_pi_div_two, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, DoubleCentralizer.sub_fst, tangentConeAt_real_subset_isRCLikeNormedField, ProperCone.innerDual_insert, range_deriv_subset_closure_span_image, Module.Basis.parallelepiped_eq_map, ContDiffMapSupportedIn.norm_apply_le_seminorm, integral_withDensity_eq_integral_toReal_smul, contDiffOn_clm_apply, ZLattice.covolume.tendsto_card_div_pow', LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, FormalMultilinearSeries.id_apply_zero, Submodule.starProjection_orthogonal, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, ContinuousLinearMap.instNonnegSpectrumClassRealId, HasStrictFDerivAt.cos, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, LinearMap.mem_polar_singleton, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, fderiv_comp_add_right, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasDerivAtFilter_iff_tendsto, NormedSpace.expSeries_div_summable_of_mem_ball, ContinuousLinearMap.integral_comp_commSL, RCLike.ofRealCLM_norm, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_measure_nhdsWithin_pos, Matrix.IsHermitian.eigenvectorUnitary_coe, Complex.sqrt_map, InnerProductSpace.HarmonicOnNhd.const_smul, MeasureTheory.setIntegral_indicatorConstLp, HasFDerivAt.fun_sum, stereographic_target, Unitary.norm_map, ProbabilityTheory.isGaussian_conv, LinearMap.instStarModuleId, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, Submodule.starProjection_apply_mem, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, MeasureTheory.tendsto_integral_smul_of_tendsto_average_norm_sub, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_pos, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasFDerivWithinAt.arsinh, MeasureTheory.convolution_lsmul_swap, Orientation.oangle_add_right_smul_rotation_pi_div_two, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, not_sameRay_iff_norm_add_lt, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, Quaternion.tsum_coe, Orientation.inner_smul_rotation_pi_div_two_left, HasFDerivAt.add_const, BoxIntegral.hasIntegral_const, ZLattice.volume_image_eq_volume_div_covolume, hasDerivAtFilter_finCons', MeasureTheory.Supermartingale.smul_nonpos, mfderivWithin_prodMap, LinearIsometry.toLinearMap_rTensor, ContinuousMap.toLp_injective, hasStrictFDerivAt_fst, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, setIntegral_withDensity_eq_setIntegral_smul, DoubleCentralizer.pow_fst, MeasureTheory.memLp_add_of_disjoint, tendsto_logDeriv_euler_cot_sub, SlashInvariantForm.coe_trace, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, MeromorphicAt.meromorphicTrailingCoeffAt_smul, fderiv_smul_const, hasDerivWithinAt_finCons', Euclidean.closedBall_eq_preimage, mellin_comp_rpow, Matrix.isHermitian_iff_isSymmetric, MeasureTheory.Submartingale.sum_smul_sub', NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, mfderiv_sumInr, support_iteratedFDeriv_subset, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, hasStrictFDerivAt_finset_prod, Submodule.le_orthogonal_iff_le_orthogonal, intervalIntegral.smul_integral_comp_mul_add, Complex.exp_sub_sum_range_isBigO_pow, curveIntegral_zero, Function.HasTemperateGrowth.fun_add, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, EisensteinSeries.summable_linear_sub_mul_linear_add, HasDerivWithinAt.comp_hasFDerivAt, Submodule.mem_orthogonal, exists_dual_vector', MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, FormalMultilinearSeries.apply_eq_prod_smul_coeff, DifferentiableWithinAt.fun_smul, Orientation.kahler_rightAngleRotation_left, HasDerivWithinAt.scomp, hasFPowerSeriesWithinAt_pi_iff, MeasureTheory.eLpNorm_const_smul, MeasureTheory.hasSum_integral_measure, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, hasDerivAt_iff_isLittleO_nhds_zero, HasFDerivAt.le_of_lip', SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, HurwitzZeta.hasSum_nat_hurwitzZetaOdd, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, HasMFDerivAt.sub, InnerProductSpace.toMatrix_rankOne, derivWithin_fun_sum, eventually_norm_symmL_trivializationAt_lt, differentiableAt_comp_add_left, cfcₙHom_real_eq_restrict, PeriodPair.latticeEquiv_symm_apply, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, AnalyticAt.fun_add, hasFDerivAtFilter_finCons, MeasureTheory.ComplexMeasure.im_apply, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, MeasureTheory.Measure.addHaar_smul_of_nonneg, EisensteinSeries.tsum_tsum_symmetricIco_sub_eq, OrthonormalBasis.reindex_toBasis, Real.Angle.sin_eq_iff_eq_or_add_eq_pi, MeasureTheory.Lp.instIsBoundedSMul, RCLike.ofReal_expect, Orientation.oangle_smul_right_of_neg, ContinuousMap.coe_toLp, Real.fourierIntegral_convergent_iff, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, HasFDerivAt.sin, continuousMultilinearCurryLeftEquiv_apply, Orientation.abs_areaForm_of_orthogonal, Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two, HasFPowerSeriesAt.deriv, ModularForm.summable_logDeriv_one_sub_eta_q, LinearIsometryEquiv.symm_rTensor, mfderiv_snd, HasMFDerivWithinAt.add, LSeries_sum, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, LinearMap.eq_adjoint_iff_basis, MeasureTheory.locallyIntegrable_finset_sum', HasCompactSupport.iteratedFDeriv, HasFDerivAt.csin, TensorProduct.commIsometry_symm, isStarProjection_starProjection, MeasureTheory.integral_rnDeriv_smul, unitary.norm_map, Set.EqOn.iteratedFDerivWithin, ContinuousLinearEquiv.fderiv, fourierCoeff_eq_intervalIntegral, CStarAlgebra.conjugate_le_norm_smul', ContMDiffWithinAt.mfderivWithin_apply, SchwartzMap.tsupport_fderivCLM_subset, ContinuousLinearEquiv.mdifferentiableWithinAt, hfdifferential_apply, ContinuousLinearMap.NonlinearRightInverse.right_inv', ContinuousLinearEquiv.mdifferentiable, AnalyticAt.exists_eq_sum_add_pow_mul, iteratedDerivWithin_comp_const_smul, ContinuousLinearMap.integral_comp_L1_comm, curveIntegralFun_add, ContinuousLinearMap.opNorm_zero_iff, Complex.taylorSeries_eq_on_eball, MeasureTheory.Measure.map_addHaar_smul, InnerProductSpace.gramSchmidt_def'', AnalyticOnNhd.fderiv, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_two, HasFDerivWithinAt.comp_hasDerivWithinAt, PMF.integral_eq_sum, iteratedDerivWithin_mul, HasFDerivWithinAt.add_const, MeasureTheory.average_add_measure, Orientation.kahler_rotation_left, HasFDerivWithinAt.sub, IsOpen.exists_eq_add_of_deriv_eq, MeasureTheory.Integrable.withDensityᵥ_trim_eq_integral, HasFDerivAtFilter.fun_neg, ModularFormClass.hasSum_qExpansion_of_abs_lt, SchwartzMap.smulLeftCLM_neg, intervalIntegral.inv_smul_integral_comp_div, MeasureTheory.withDensityᵥ_add, ContinuousLinearMap.opNNNorm_mul, Complex.conjCLE_enorm, ContinuousLinearEquiv.comp_differentiableAt_iff, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, MeasureTheory.charFunDual_eq_pi_iff, mfderiv_zero_of_not_mdifferentiableAt, MeasureTheory.aestronglyMeasurable_condExpL1CLM, Trivialization.continuousLinearEquivAt_prod, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, iteratedFDeriv_succ_eq_comp_right, Complex.hasSum_conj, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, ValueDistribution.logCounting_sum_top_eventuallyLE, ContinuousMultilinearMap.changeOriginSeries_support, ContinuousLinearEquiv.comp_hasFDerivAt_iff', WeakFEPair.functional_equation₀, MeasureTheory.SimpleFunc.setToSimpleFunc_zero, CPolynomialOn.add, Real.tendsto_integral_cexp_sq_smul, curveIntegralFun_sub, ContDiffMapSupportedIn.seminorm_apply, LinearMap.tripolar_eq_polar, inner_map_self_eq_zero, RCLike.toIsOrderedAddMonoid, FormalMultilinearSeries.isLittleO_of_lt_radius, tsupport_iteratedFDeriv_subset, DifferentiableOn.fun_add_iff_left, iteratedDerivWithin_fun_sum, aemeasurable_withDensity_iff, Matrix.exp_units_conj', ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Orientation.inner_sq_add_areaForm_sq, ContinuousMultilinearMap.hasFDerivAt, signedDist_smul_of_neg, IntervalIntegrable.finsum, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, Real.iteratedFDeriv_fourier, TangentSpace.vectorBundle, circleAverage_sub_sub_inv_smul_of_differentiable_on, DoubleCentralizer.algebraMap_fst, RCLike.reLm_coe, fderiv_continuousLinearEquiv_comp, EisensteinSeries.q_expansion_bernoulli, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, hasStrictFDerivAt_exp_zero_of_radius_pos, ContinuousLinearMap.toBilinForm_injective, DifferentiableAt.fun_smul, circleIntegral.integral_smul_const, InnerProductSpace.mem_span_gramSchmidt, ContinuousLinearMap.mfderivWithin_eq, ContDiffOn.fderivWithin, tsum_prod_pow_eq_tsum_sigma, ContDiff.continuous_iteratedFDeriv, InnerProductGeometry.angle_add_eq_arccos_of_inner_eq_zero, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, MeasureTheory.integrable_condExpL2_indicator, iteratedFDeriv_comp_add_left', ProbabilityTheory.isPosSemidef_covarianceBilinDual, ImplicitFunctionData.range_rightDeriv, tangentCoordChange_self, CStarAlgebra.span_nonneg_inter_closedBall, toSpanSingleton_derivWithin, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, isMIntegralCurveAt_comp_mul_ne_zero, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, MeasureTheory.Lp.zero_smul, HasFDerivAt.hasFDerivAt_norm_smul, bilinearIteratedFDerivWithinTwo_eq_iteratedFDeriv, Real.Angle.sign_add_pi, HasFiniteFPowerSeriesOnBall.eq_partialSum', VectorField.mlieBracket_const_smul_left, fderivWithin_fun_add, coe_lpBCFₗᵢ_symm, range_mfderiv_coe_sphere, Real.Angle.toReal_add_of_sign_pos_sign_neg, Complex.wedgeIntegral_add_wedgeIntegral_eq, IsMIntegralCurve.comp_mul, coe_lpPiLpₗᵢ_symm, differentiable_piLp, ClosedSubmodule.inf_orthogonal_eq_bot, HasFPowerSeriesOnBall.pi, ProbabilityTheory.Kernel.integral_integral_add, intervalIntegral.hasSum_integral_of_dominated_convergence, Submodule.reflection_eq_self_iff, MeasureTheory.weightedSMul_union', MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, stereographic_source, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, RCLike.wInner_one_const_right, AlgHom.coe_toContinuousLinearMap, ContDiff.iteratedFDeriv_right', Differentiable.add_const, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, HasFDerivWithinAt.sqrt, HasFDerivAt.le_of_lipschitz, AnalyticAt.analyticOrderAt_ne_top, MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', tsum_dirichletSummand, Real.hasFDerivAt_fourierIntegral, SchwartzMap.integralCLM_apply, HasStrictFDerivAt.hasStrictDerivAt, FormalMultilinearSeries.radius_shift, ContinuousLinearEquiv.comp_right_differentiableAt_iff, Complex.conjCLE_apply, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, AnalyticAt.const_smul, IsZLattice.span_top, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitone, innerSLFlip_apply, ContinuousLinearEquiv.differentiableOn, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, coe_addEquiv_lpBCF, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_right, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, Submodule.ker_starProjection, ContinuousLinearEquiv.mfderiv_eq, Trivialization.coe_continuousLinearEquivAt_eq, VectorField.leibniz_identity_mlieBracketWithin_apply, hasLineDerivAt_iff_tendsto_slope_zero, differentiableAt_comp_add_right, HasFDerivAt.list_prod', ProbabilityTheory.covarianceBilin_real, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', ProbabilityTheory.strong_law_Lp, fderivWithin_const_smul_field, MeasureTheory.integral_const, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, ContinuousLinearMap.measurable_coe, HasDerivWithinAt.smul_const, Euclidean.ball_eq_preimage, HasFDerivAt.fun_neg, ContinuousLinearMap.analyticOn, Polynomial.fderivWithin_aeval, CStarAlgebra.star_left_conjugate_le_norm_smul, norm_iteratedFDeriv_prod_le, DifferentiableOn.smul, contDiff_nat_iff_continuous_differentiable, MeasureTheory.L1.SimpleFunc.setToL1S_zero_left, hasFDerivAt_pow', Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable_of_tendsto, SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, OrderedFinpartition.compAlongOrderFinpartition_apply, Trivialization.continuousLinearEquivAt_symm_apply, Submodule.topologicalClosure_eq_top_iff, NumberField.mixedEmbedding.stdBasis_apply_isReal, DirichletCharacter.LSeries_eulerProduct_exp_log, mdifferentiableOn_coordChangeL, Polynomial.fderivWithin, Finset.analyticOnNhd_sum, HasFDerivWithinAt.const_cpow, HasFiniteFPowerSeriesOnBall.add, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, ContDiffAt.iteratedFDeriv_comp_perm, HasFDerivAt.fun_add, VectorPrebundle.mk_coordChange, TensorProduct.enorm_assoc, hasFDerivWithinAt_comp_add_right, MeasureTheory.Lp.smul_neg, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two, ProbabilityTheory.covarianceBilin_of_not_memLp, SchwartzMap.sum_apply, Matrix.linfty_opNorm_toMatrix, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMap.coeFn_toLp, Submodule.reflection_bot, VectorField.lieBracketWithin_add_left, Real.Angle.zsmul_eq_iff, innerSL_apply_norm, VectorField.mpullback_add, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, ContinuousLinearMap.isPositive_def', Orientation.oangle_add_cyc3_neg_left, LinearMap.adjoint_inner_left, MemHolder.nnHolderNorm_smul, HasDerivWithinAt.add_const, PeriodPair.analyticOnNhd_derivWeierstrassP, Matrix.frobenius_norm_mul, MeasureTheory.integrable_finset_sum, MeasureTheory.Integrable.integral_smul, HasMFDerivAt.comp_hasMFDerivWithinAt, ProperCone.innerDual_empty, Matrix.star_dotProduct_gram_mulVec, hasStrictFDerivAt_exp_zero, RCLike.hasSum_iff, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, ContMDiffVectorBundle.contMDiffOn_coordChangeL, MeasureTheory.Measure.addHaar_preimage_linearMap, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, curveIntegral_eq_intervalIntegral_deriv, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, ContinuousLinearMap.inCoordinates_eq, meromorphicOrderAt_smul_of_ne_zero, mfderiv_prodMk, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, hasMFDerivWithinAt_snd, BoxIntegral.integralSum_smul, ContinuousMultilinearMap.norm_domDomCongr, Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two, HasStrictFDerivAt.fun_neg, HasFDerivWithinAt.arctan, ZSpan.quotientEquiv.symm_apply, NumberField.mixedEmbedding.convexBodyLT_convex, Real.tendsto_integral_exp_smul_cocompact, HasStrictFDerivAt.sum, mellin_convergent_iff_norm, MeasureTheory.setIntegral_tilted', VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, Submodule.ker_orthogonalProjection, locallyIntegrableOn_mul_sum_Icc, Orientation.kahler_mul, derivWithin_fun_finset_prod, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, HasDerivWithinAt.smul, GaussianFourier.integral_cexp_neg_mul_sum_add, ProbabilityTheory.iIndepFun_iff_charFunDual_pi', Submodule.reflection_map_apply, sameRay_iff_norm_sub, ProbabilityTheory.covarianceBilinDual_comm, TensorProduct.dist_tmul_le, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt', ProbabilityTheory.isGaussian_iff_charFunDual_eq, ContinuousOn.integral_sub_linear_isLittleO_ae, BoxIntegral.integralSum_disjUnion, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.integral_smul, iteratedDerivWithin_smul, ContinuousMultilinearMap.curry0_norm, Submodule.sup_orthogonal_of_hasOrthogonalProjection, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, ContinuousLinearMap.norm_fst, HasFDerivWithinAt.rpow, Meromorphic.add, OrderedFinpartition.applyOrderedFinpartition_apply, HasFPowerSeriesOnBall.hasFDerivAt, Matrix.instIsOrderedAddMonoid, SchwartzMap.instLocallyConvexSpace, lp.single_add, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_iSup_right, intervalIntegral.integral_add, TensorProduct.toLinearEquiv_assocIsometry, Summable.mul_tendsto_const, ContinuousMultilinearMap.analyticOn, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, Orientation.oangle_smul_smul_self_of_nonneg, HasMFDerivAt.prod, MeromorphicNFAt.smul_analytic, AnalyticOnNhd.add, MemHolder.nnHolderNorm_add_le, Submodule.IsOrtho.disjoint, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, derivWithin_sum, ZLattice.volume_image_eq_volume_div_covolume', MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, HasFDerivWithinAt.comp_hasDerivAt, EisensteinSeries.tendsto_double_sum_S_act, toMatrix_innerSL_apply, ClosedSubmodule.sInf_orthogonal, intervalIntegral.fderivWithin_integral_of_tendsto_ae, ContinuousMap.toLp_comp_toContinuousMap, Function.HasTemperateGrowth.smul, DoubleCentralizer.mul_fst, Matrix.PosSemidef.re_dotProduct_nonneg, rescale_to_shell_zpow, iteratedFDeriv_comp_add_right, MeasureTheory.Measure.addHaar_ball_mul_of_pos, Orientation.rightAngleRotation_trans_neg_orientation, Orientation.volumeForm_robust', Complex.sinh_eq_tsum, integrableOn_peak_smul_of_integrableOn_of_tendsto, iteratedFDeriv_zero_fun, ContDiffAt.laplacianWithin_add_nhdsWithin, Submodule.HasOrthogonalProjection.exists_orthogonal, HurwitzZeta.hasSum_nat_hurwitzZetaEven_of_mem_Icc, HasFDerivAt.prodMk, ModelWithCorners.convex_range', MDifferentiableAt.coordChangeL, MeasureTheory.Lp.smul_comm, Manifold.IsImmersionAt.target_subset_preimage_target, Submodule.starProjection_top, hasFDerivAt_sub_const, MeasureTheory.IsFundamentalDomain.integral_eq_tsum_of_ac, Submodule.iInf_orthogonal, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, MeasureTheory.hasSum_integral_iUnion, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_completeSpace, Pretrivialization.continuousLinearMap_apply, EuclideanGeometry.oangle_add_oangle_rev, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedSpace.sInter_polar_eq_closedBall, ContDiffBump.convolution_eq_right, TemperedDistribution.instFourierInvSMul, MeasureTheory.AEEqFun.Integrable.smul, hasFDerivWithinAt_fst, ExistsContDiffBumpBase.w_def, IsEquivalent.summable_iff, MeasureTheory.Measure.setIntegral_comp_smul, PositiveLinearMap.ofPreGNS_toPreGNS, Complex.imCLM_coe, ModelWithCorners.transContinuousLinearEquiv_range, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, TensorProduct.nnnorm_assoc, WeakFEPair.hf_modif_FE, FormalMultilinearSeries.analyticAt_changeOrigin, fourierCoeff.add, deriv_smul_const, CStarMatrix.normedSpaceCore, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, intervalIntegral.integral_hasFDerivWithinAt, HasFPowerSeriesAt.tendsto_partialSum, ZSpan.repr_fract_apply, ContinuousLinearMap.orthogonal_range, contDiff_one_iff_hasFDerivAt, MeasureTheory.charFunDual_prod', HasFiniteFPowerSeriesAt.add, Submodule.lipschitzWith_starProjection, HasFPowerSeriesAt.hasDerivAt, ContinuousLinearMap.isPositive_iff_complex, HasFDerivWithinAt.comp_hasFDerivAt_of_eq, MeromorphicOn.min_divisor_le_divisor_add, HasFPowerSeriesAt.eventually_hasSum_sub, ProbabilityTheory.covarianceBilin_apply, DiffContOnCl.two_pi_i_inv_smul_circleIntegral_sub_inv_smul, fourierIntegral_half_period_translate, BoxIntegral.integralSum_sub_partitions, MeasureTheory.withDensityᵥ_zero, ContinuousLinearMap.comp_cpolynomialOn, HasFDerivAt.cos, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, iteratedFDerivWithin_comp_add_left', InnerProductSpace.span_gramSchmidt, MeasureTheory.Lp.smul_add, MeasureTheory.withDensitySMulLI_apply, hasDerivWithinAt_const_add_iff, MeasureTheory.Measure.addHaar_nnreal_smul, deriv_finset_prod, logDeriv_prod, Complex.taylorSeries_eq_on_emetric_ball, EuclideanGeometry.hasFDerivAt_inversion, Finset.analyticOnNhd_fun_sum, Orientation.kahler_map, MeasureTheory.convolutionExistsAt_iff_integrable_swap, dist_div_norm_sq_smul, torusIntegral_smul, ZLattice.comap_comp, norm_iteratedFDeriv_one, VectorField.mpullback_smul, EisensteinSeries.summable_e2Summand_symmetricIcc, MeasureTheory.martingalePart_add_ae_eq, MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum_of_ac, Orientation.oangle_sign_add_left, ZSpan.instDiscreteTopologySubtypeMemAddSubgroupToAddSubgroupIntSpanRangeCoeBasisRealOfFinite, UnitAddTorus.hasSum_prod_mFourierCoeff, HasStrictFDerivAt.fun_const_smul, OrthonormalBasis.span_apply, iteratedFDerivWithin_eventually_congr_set', ContinuousMultilinearMap.analyticOnNhd, NumberField.mixedEmbedding.latticeBasis_apply, MeasureTheory.integral_add', ClosedSubmodule.orthogonal_toSubmodule_eq, HasFDerivAt.hasDerivAt, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, differentiableAt_finCons', ContinuousLinearMap.isPositive_iff, MeasureTheory.Measure.addHaar_submodule, TensorProduct.mapIsometry_apply, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, VectorBundleCore.inCoordinates_eq, HasStrictFDerivAt.prodMap, MeromorphicOn.extract_zeros_poles, HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin, ValueDistribution.logCounting_add_const, ContinuousMap.adjoin_id_eq_span_one_add, Complex.sin_eq_tsum, ContinuousLinearMap.norm_inl, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, ContinuousLinearEquiv.comp_differentiable_iff, SchwartzMap.instFourierSMul, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, Orientation.two_zsmul_oangle_smul_right_self, SchwartzMap.fourierTransformCLM_apply, AffineSubspace.signedInfDist_singleton, HasFPowerSeriesWithinOnBall.neg, Real.tsum_eq_tsum_fourier_of_rpow_decay, MeasureTheory.L1.integral_add, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Trivialization.symm_continuousLinearEquivAt_eq, DiffContOnCl.add, PadicInt.fwdDiff_mahlerSeries, DoubleCentralizer.zero_toProd, Orientation.coe_basisRightAngleRotation, HasFDerivAt.const_rpow, MeromorphicAt.fun_sum, enorm_tsum_le_tsum_enorm, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, MeasureTheory.Lp.constL_apply, SchwartzMap.fderivCLM_fourier_eq, CStarModule.inner_mul_inner_swap_le, Complex.hasSum_conj', mellin_const_smul, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, HasFPowerSeriesOnBall.eventually_hasSum_sub, TensorProduct.toLinearMap_mapIsometry, RCLike.map_nonneg_iff, MeromorphicOn.negPart_divisor_add_le_max, IsCoercive.continuousLinearEquivOfBilin_apply, VectorBundleCore.continuousOn_coordChange, MeasureTheory.integral_fun_fst, Orientation.volumeForm_zero_neg, SmoothPartitionOfUnity.contMDiff_finsum_smul, MeasureTheory.integral_inter_add_diff₀, MeasureTheory.martingalePart_eq_sum, MeasureTheory.pdf.integrable_pdf_smul_iff, ContinuousLinearEquiv.fderivWithin, mfderiv_comp_apply, HasDerivWithinAt.scomp_hasDerivAt, Unitary.inner_map_map, ContDiffBump.dist_normed_convolution_le, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, HasFDerivWithinAt.fun_sum, VectorField.lieBracketWithin_smul_right, TensorProduct.enorm_map, Orientation.areaForm_map, uniformEquicontinuous_birkhoffAverage, deriv_comp_mul_left, LinearMap.derivWithin, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, iteratedFDeriv_zero_eq_comp, HasStrictDerivAt.prodMk, isConformalMap_iff, hasFTaylorSeriesUpToOn_succ_iff_left, PadicInt.continuous_multichoose, Complex.hasSum_taylorSeries_neg_log, VectorFourier.integral_bilin_fourierIntegral_eq_flip, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, curveIntegralFun_restrictScalars, contDiffOn_succ_iff_fderivWithin, NumberField.mixedEmbedding.commMap_apply_of_isReal, ProperCone.mem_innerDual, EuclideanGeometry.Sphere.two_zsmul_oangle_center_add_two_zsmul_oangle_eq_pi, InnerProductSpace.toLinearMap_rankOne, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, meromorphicNFAt_smul_iff_right_of_analyticAt, ZLattice.isAddFundamentalDomain, ContinuousLinearMap.adjointAux_inner_right, MeromorphicOn.smul, Finset.analyticOn_sum, Complex.taylorSeries_eq_on_ball, HasMFDerivWithinAt.mul, ContDiffWithinAt.iteratedFDerivWithin_right, TemperedDistribution.instLineDerivSMulComplex, OpenPartialHomeomorph.MDifferentiable.symm_comp_deriv, ContinuousLinearEquiv.isOpen, CStarAlgebra.conjugate_le_norm_smul, MeasureTheory.lpNorm_sum_le, TensorProduct.commIsometry_apply, ContinuousLinearEquiv.coe_toDiffeomorph, summable_geometric_iff_norm_lt_one, norm_midpoint_lt_iff, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', Finset.analyticAt_sum, HasFDerivAt.arsinh, DoubleCentralizer.norm_fst, Orientation.oangle_add_oangle_rev_neg_left, measurable_smul_const, WeakFEPair.functional_equation, MeasureTheory.Submartingale.sum_smul_sub, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, TensorProduct.congrIsometry_symm, summable_pow_mul_geometric_of_norm_lt_one, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, ContinuousAlternatingMap.norm_ofSubsingleton_id, Complex.equivRealProdCLM_symm_apply_re, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, Trivialization.continuousLinearMapAt_symmL, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, TorusIntegrable.add, eHolderNorm_add_le, LinearMap.IsSymmetric.orthogonal_range, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, iteratedDerivWithin_eq_equiv_comp, HasFDerivAt.const_sub, MeasureTheory.charFunDual_eq_pi_iff', LinearPMap.adjointDomainMkCLMExtend_apply, Besicovitch.card_le_of_separated, HasDerivAt.const_add, dimH_orthogonalProjection_le, BoundedContinuousFunction.toLp_norm_le, iteratedFDerivWithin_two_apply, extDerivWithin_smul, NormedSpace.expSeries_div_hasSum_exp, instDiscreteTopologySubtypeMemSubmoduleIntComap, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.integral_countable, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, HasStrictFDerivAt.fun_smul, MeasureTheory.withDensityᵥ_sub', ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, HasStrictFDerivAt.cpow, ContDiffPointwiseHolderAt.fderiv, Orientation.inner_rightAngleRotationAux₁_right, curveIntegral_fun_sub, HasFiniteFPowerSeriesOnBall.finite, Submodule.re_inner_starProjection_nonneg, norm_cfcₙ_one_sub_one_add_inv_lt_one, NumberField.mixedEmbedding.latticeBasis_repr_apply, Submodule.adjoint_orthogonalProjection, HasFDerivAt.pow', continuousOn_cfcₙ_nnreal, HasStrictFDerivAt.pow', hasFDerivWithinAt_iff_hasGradientWithinAt, CurveIntegrable.smul, BoxIntegral.Integrable.smul, isMIntegralCurveOn_comp_mul_ne_zero, ContinuousLinearMap.hasFDerivAt_of_bilinear, VectorField.lieBracket_add_right, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, Submodule.isOrtho_bot_right, mfderivWithin_prodMk, LinearMap.adjoint_comp, FormalMultilinearSeries.min_radius_le_radius_add, Complex.summable_one_div_nat_cpow, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, MeasureTheory.integrable_add_iff_integrable_right, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, OpenPartialHomeomorph.MDifferentiable.mfderiv_injective, LinearMap.IsPositive.inner_nonneg_right, HasDerivAt.scomp_of_eq, VonNeumannAlgebra.coe_toStarSubalgebra, Matrix.toEuclideanLin_apply_piLp_toLp, MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter, MeasureTheory.hasSum_integral_iUnion_ae, logDeriv_prod_sineTerm_eq_sum_cotTerm, InnerProductSpace.span_gramSchmidt_Iio, ContinuousAlternatingMap.curryLeft_add, HasFPowerSeriesAt.pi, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, hasFDerivAt_comp_add_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', IntervalIntegrable.continuousOn_smul, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, LinearIsometry.strictConvexSpace_range_iff, VectorFourier.fourierPowSMulRight_apply, HasFDerivWithinAt.smul, summable_prod_eisSummand, inner_eq_norm_mul_iff_real, Submodule.mem_orthogonal_singleton_iff_inner_left, mfderivWithin_eventually_congr_set, MeasureTheory.Submartingale.smul_nonpos, Manifold.IsImmersionAtOfComplement.writtenInCharts, RCLike.ofReal_tsum, Bundle.Trivial.contMDiffVectorBundle, SchwartzMap.decay, WithCStarModule.inner_single_left, Submodule.mem_adjoint_iff, FormalMultilinearSeries.summable_nnnorm_mul_pow, MeasureTheory.Lp.simpleFunc.toLp_smul, LinearMap.isSymmetric_iff_isSelfAdjoint, CPolynomialOn.fderiv, integrableOn_mul_sum_Icc, iteratedDerivWithin_fun_add, NumberField.mixedEmbedding.normAtPlace_negAt, PadicInt.mahlerEquiv_apply, SchwartzMap.convolution_flip, Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two, Module.Basis.parallelepiped_map, AlternatingMap.measure_def, InnerProductGeometry.sin_angle_add_of_inner_eq_zero, HasDerivWithinAt.prodMk, MeasureTheory.charFunDual_dirac, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, MeasureTheory.ConvolutionExistsAt.distrib_add, VectorPrebundle.continuousOn_coordChange, VectorField.mpullbackWithin_apply, Filter.Tendsto.integral_sub_linear_isLittleO_ae, LinearMap.isSymmetric_iff_sesqForm, FormalMultilinearSeries.radius_compContinuousLinearMap_le, HasStrictFDerivAt.mul_const', ContinuousLinearMap.IsPositive.adjoint_conj, EisensteinSeries.G2_eq_tsum_cexp, LinearIsometryEquiv.reflections_generate_dim, Complex.isometryOfOrthonormal_apply, mfderiv_const, iteratedFDeriv_prodMk, intervalIntegral.smul_integral_comp_mul_right, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, Complex.sameRay_iff, deriv_add_const, intervalIntegral.integral_comp_div_add, conformalFactorAt_inner_eq_mul_inner, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, Orientation.areaForm_map_complex, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, hasFDerivWithinAt_pi, BoxIntegral.integral_const, PeriodPair.hasSum_weierstrassPExcept, intervalIntegral.integral_smul_const, MeasureTheory.Lp.neg_smul, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, InnerProductSpace.laplacianWithin_smul_nhds, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, HilbertBasis.summable_inner_mul_inner, ContinuousLinearMap.isPositive_iff', derivWithin_const_add_fun, HasDerivAtFilter.isEquivalent_sub, Differentiable.fun_add_iff_right, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, Submodule.finrank_add_finrank_orthogonal, NumberField.mixedEmbedding.finrank, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, ContinuousLinearMap.star_eq_adjoint, SchwartzMap.integral_fourier_smul_eq, Real.dimH_segment, Complex.imCLM_nnnorm, Submodule.orthogonal_eq_top_iff, Complex.circleIntegral_one_div_sub_center_pow_smul_of_differentiable_on_off_countable, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, ValueDistribution.logCounting_sum_top_le, AlgHom.toContinuousLinearMap_norm, enorm_sum_le, ContDiffAt.laplacian_CLM_comp_left_nhds, EisensteinSeries.qExpansion_identity, Submodule.lipschitzWith_orthogonalProjection, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, HasFPowerSeriesWithinAt.neg, Orientation.inner_rightAngleRotation_right, HasFDerivAt.hasFDerivAt_norm_smul_neg, GaussianFourier.integral_cexp_neg_sum_mul_add, UniformSpace.Completion.coe_toComplL, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, RCLike.wInner_one_const_left, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, fderivWithin_list_prod', summable_norm_iff, OrderedFinpartition.applyOrderedFinpartition_update_left, LinearMap.continuous_of_isClosed_ker, Unitization.complex_cfcₙ_eq_cfc_inr, orthogonalFamily_iff_pairwise, ZSpan.map_fundamentalDomain, Complex.sameRay_iff_arg_div_eq_zero, FormalMultilinearSeries.radius_le_radius_derivSeries, Orientation.volumeForm_apply_le, ContinuousAlternatingMap.curryLeftLI_apply, LDL.diag_eq_lowerInv_conj, tsum_eisSummand_eq_tsum_sigma_mul_cexp_pow, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, Submodule.inf_orthogonal_eq_bot, Complex.starConvex_slitPlane, HasFDerivWithinAt.fun_mul', MeasureTheory.norm_condExpInd_le, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, fderivWithin_smul_const, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, AnalyticOn.fun_const_smul, Submodule.isOrtho_sSup_left, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, MeasureTheory.MemLp.toLp_add, DiffContOnCl.const_add, LinearMap.polar_isClosed, ContinuousMultilinearMap.analyticWithinAt, NumberField.mixedEmbedding.negAt_apply_norm_isReal, fderiv_star, MeasureTheory.integrable_comp_smul_iff, derivWithin_fun_const_smul', MeasureTheory.Measure.addHaar_preimage_linearEquiv, innerₛₗ_apply, hasFDerivAtFilter_iff_tendsto, DifferentiableAt.add_iff_right, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, ContinuousLinearEquiv.hasFDerivAt, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, iteratedDeriv_const_smul_field, HurwitzZeta.hasSum_int_sinZeta, IsMIntegralCurveAt.comp_mul_ne_zero, intervalIntegral.integral_interval_add_Ioi', HasDerivAt.tendsto_slope_zero, Filter.EventuallyEq.iteratedFDeriv, fderivWithin_continuousLinearEquiv_comp, ProbabilityTheory.Kernel.integral_integral_add'_comp, Pretrivialization.continuousLinearMap_symm_apply, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, hasDerivAtFilter_pi, stereographic_apply, MeasureTheory.inner_condExpL2_eq_inner_fun, StrongDual.toLp_apply, inverse_mfderiv_mul_left, ArithmeticFunction.LSeries_zeta_eulerProduct_exp_log, Orientation.rotation_apply, derivWithin_fun_add, IsLocalMin.hasFDerivAt_eq_zero, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum_of_completeSpace, DifferentiableAt.fun_add_iff_right, HasFDerivAtFilter.iterate, ModularFormClass.hasSum_qExpansion_of_norm_lt, Submodule.inner_starProjection_left_eq_right, ContMDiffAt.mfderiv, ContinuousLinearMap.IsPositive.spectrumRestricts, OrthonormalBasis.sum_repr, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, Real.iteratedFDeriv_fourierIntegral, MeasureTheory.Lp.coe_LpSubmodule, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, differentiableAt_snd, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, IsCoercive.ker_eq_bot, TestFunction.instLocallyConvexSpaceReal, ContinuousLinearEquiv.analyticOnNhd, IsConformalMap.injective, InnerProductSpaceable.innerProp, jacobiTheta_eq_tsum_nat, LinearIsometry.strictConvexSpace_range, MeasureTheory.withDensityᵥ_rnDeriv_smul, PositiveLinearMap.norm_apply_le_of_nonneg, MeasureTheory.condExpInd_disjoint_union_apply, fderivWithin_pow_ring', ContinuousLinearMap.analyticOn_uncurry_of_multilinear, FormalMultilinearSeries.changeOrigin_eval, LSeries.term_sum_apply, LinearMap.toSeminorm_ball_zero, differentiableWithinAt_add_const_iff, continuousAt_hom_bundle, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, Submodule.fstL_comp_coe_orthogonalDecomposition, Meromorphic.sum, StrongConvexOn.strictConvexOn, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Module.Basis.ofZLatticeBasis_comap, isStarProjection_iff_eq_starProjection_range, ContinuousLinearMap.add_compLpL, Orientation.inner_rightAngleRotationAux₁_left, MeasureTheory.integral_indicator_const, Complex.taylorSeries_eq_on_eball', VonNeumannAlgebra.mem_commutant_iff, exists_embedding_euclidean_of_compact, HasFPowerSeriesAt.prod, LinearMap.toSeminorm_apply, LinearIsometryEquiv.toLinearIsometry_rTensor, VectorPrebundle.contMDiffOn_contMDiffCoordChange, Orientation.areaForm_apply_self, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, LeftInvariantDerivation.toDerivation_injective, Submodule.starProjection_minimal, PeriodPair.differentiableOn_weierstrassPExcept, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, lineDeriv_smul, MeasureTheory.integrable_rnDeriv_smul_iff, LinearMap.continuous_of_isClosed_graph, DoubleCentralizer.natCast_toProd, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, ProbabilityTheory.strong_law_ae_simpleFunc_comp, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one_aux, Complex.conjCLE_norm, ContinuousLinearMap.dslope_comp, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, LeftInvariantDerivation.evalAt_mul, MeasureTheory.Measure.addHaar_closedBall, PeriodPair.derivWeierstrassPExcept_add_coe, HasFPowerSeriesWithinAt.add, Submodule.starProjection_mem_subspace_eq_self, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, DifferentiableOn.add, Submodule.angle_coe, Real.tendsto_integral_gaussian_smul, HasMFDerivAt.prodMk, MeasureTheory.integrable_add_iff_integrable_left, FormalMultilinearSeries.id_apply_of_one_lt, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, HasFDerivWithinAt.fun_pow', IntervalIntegrable.integral_smul, differentiable_pi'', HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, TensorProduct.norm_tmul, LinearMap.isPositive_iff, MeasureTheory.L1.norm_Integral_le_one, ContinuousLinearMap.measurable_apply', VectorFourier.fourierIntegral_comp_add_right, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, MeromorphicOn.fun_sum, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, UnitAddTorus.span_mFourier_closure_eq_top, ContDiff.dimH_range_le, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, DoubleCentralizer.one_toProd, MeasureTheory.withDensityᵥ_smul', differentiableAt_iff_restrictScalars, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, Complex.imCLM_enorm, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, SchwartzMap.tsupport_derivCLM_subset, Filter.Tendsto.cesaro_smul, deriv_fun_const_smul_field, tendsto_integral_exp_inner_smul_cocompact, OrthonormalBasis.coe_toBasis_repr_apply, EisensteinSeries.tendsto_tsum_one_div_linear_sub_succ_eq, VectorField.leibniz_identity_lieBracket, MeasureTheory.integrable_continuousLinearMap_prod, Continuous.fourierPowSMulRight, differentiableOn_apply, ZLattice.normBound_spec, HasSumUniformlyOn.of_norm_le_summable, iteratedFDerivWithin_sum_apply, ContinuousLinearEquiv.dimH_preimage, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, hasStrictFDerivAt_add_const_iff, SchwartzMap.integral_smul_laplacian_right_eq_left, differentiableAt_pi, HasFDerivWithinAt.fun_add, Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two, Real.Angle.eq_add_pi_of_two_zsmul_eq_of_sign_eq_neg, FormalMultilinearSeries.radius_prod_eq_min, OrthonormalBasis.coe_equiv_euclideanSpace, VectorFourier.fourierIntegral_probChar, summable_cotTerm, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, VectorFourier.norm_fourierSMulRight_le, continuousWithinAt_hom_bundle, AlternatingMap.measure_parallelepiped, RCLike.wInner_one_eq_sum, derivWithin_finset_prod, HasFDerivAt.mul_const', MeasureTheory.charFunDual_map, hasFDerivWithinAt_add_const_iff, HasFiniteFPowerSeriesOnBall.fderiv', Orientation.two_zsmul_oangle_smul_left_self, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, Submodule.orthogonalProjectionFn_eq, Fourier.fourierIntegral_def, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, iteratedFDerivWithin_clm_apply_const_apply, ContinuousMultilinearMap.currySum_apply, TensorProduct.nnnorm_comm, Submodule.IsOrtho.ge, OpenPartialHomeomorph.MDifferentiable.ker_mfderiv_eq_bot, MeasureTheory.integral_fn_integral_add, MeasureTheory.ComplexMeasure.re_apply, Submodule.bot_orthogonal_eq_top, signedDist_apply, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, geom_series_mul_neg, ContinuousLinearMap.IsPositive.conj_starProjection, HasStrictFDerivAt.fun_pow', continuousMultilinearCurryRightEquiv_apply', EuclideanSpace.inner_toLp_toLp, TemperedDistribution.lineDerivOp_fourierInv_eq, Submodule.map_orthogonal, Complex.hasSum_taylorSeries_log, fourierCoeffOn_eq_integral, HasStrictFDerivAt.comp, ProbabilityTheory.IsGaussian.charFunDual_eq_of_integral_eq_zero, DoubleCentralizer.natCast_snd, VonNeumannAlgebra.coe_commutant, ContDiffMapSupportedIn.bounded_iteratedFDeriv, MeasureTheory.SimpleFunc.integral_const, MeromorphicOn.negPart_divisor_add_le_add, HasFiniteFPowerSeriesOnBall.hasFDerivAt, ProbabilityTheory.variance_dual_prod, ProbabilityTheory.isGaussian_map_equiv, isSymmSndFDerivWithinAt_iff_iteratedFDerivWithin, HasFDerivAt.hasGradientAt, PeriodPair.hasSum_sumInvPow, HasStrictFDerivAt.sin, VectorBundleCore.coordChange_linear_comp, ContinuousAlternatingMap.alternatizeUncurryFin_add, Orientation.oangle_sign_smul_add_smul_right, Module.Basis.ofZLatticeComap_repr_apply, signedDist_eq_dist_iff_vsub_mem_span, ProbabilityTheory.covarianceBilin_map_const_add, MeasureTheory.integral_tsum, AffineSubspace.direction_perpBisector, Besicovitch.multiplicity_le, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesOnBall.changeOrigin, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOn, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, HasFDerivWithinAt.const_rpow, FormalMultilinearSeries.leftInv_removeZero, deriv_const_smul', intervalIntegral.integral_comp_mul_right, ContDiffWithinAt.iteratedFDerivWithin_comp_perm, LSeriesHasSum.sum, ProbabilityTheory.Kernel.integral_integral_add_comp, ClosedSubmodule.orthogonal_disjoint, CompletelyPositiveMap.map_cstarMatrix_nonneg', IsLocalFrameOn.coeff_eq_of_eq, Differentiable.fun_add_iff_left, iteratedFDerivWithin_const_of_ne, ContinuousLinearMap.isAdjointPair_inner, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, VectorFourier.norm_fourierPowSMulRight_le, TensorProduct.norm_map, EuclideanGeometry.dist_smul_vadd_eq_dist, dist_birkhoffAverage_birkhoffAverage_le, Complex.equivRealProdCLM_symm_apply_im, ContinuousLinearMap.coe_le_coe_iff, AddChar.linearIndependent, MeasureTheory.integral_singleton, intervalIntegral.integral_comp_div_sub, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, MeasureTheory.integral_iUnion, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, Real.hasFDerivAt_fourierChar_neg_bilinear_right, DifferentiableAt.smul_const, summable_bernoulli_fourier, Unitization.splitMul_injective, isInvertible_mfderiv_extChartAt, WeakFEPair.f_modif_aux1, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, MeasureTheory.Lp.smul_assoc, ContDiffMapSupportedIn.continuous_iff_comp, ContinuousMultilinearMap.norm_map_insertNth_le, PeriodPair.periodic_weierstrassP, differentiable_tsum', HasFPowerSeriesAt.coeff_zero, Submodule.orthogonal_le_orthogonal_iff, DoubleCentralizer.sub_snd, ModelWithCorners.coe_transContinuousLinearEquiv, SeparatingDual.completeSpace_continuousMultilinearMap_iff, Submodule.orthogonal_le_iff_orthogonal_le, norm_iteratedFDerivWithin_mul_le, VectorFourier.norm_fourierSMulRight, InnerProductSpace.volume_closedBall, ContinuousLinearEquiv.coord_norm', HasFPowerSeriesOnBall.hasSum_sub, EisensteinSeries.summable_e2Summand_symmetricIco, GaussianFourier.integrable_cexp_neg_sum_mul_add, iteratedDerivWithin_comp_eq_sum_orderedFinpartition, enorm_multisetSum_le, Bundle.Trivial.symmₗ_trivialization, WithCStarModule.pi_norm_sq, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, hasMFDerivAt_snd, Complex.hasSum_sinh, NormedSpace.norm_smul_normalize, hom_chart, ContinuousLinearMap.isPositive_zero, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, MeasureTheory.Integrable.smul_prod, LinearMap.mem_span_iff_bound, homeomorphSphereProd_apply_fst_coe, ContinuousOn.cfcₙ_nnreal, hasFDerivAt_exp_smul_const_of_mem_ball', MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_left_of_lt, MeasureTheory.ConvolutionExists.distrib_add, HasDerivAt.scomp_hasDerivWithinAt, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_two, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, deriv_descPochhammer_eval_eq_sum_prod_range_erase, strongConvexOn_iff_convex, HasStrictDerivAt.add_const, Module.Basis.ofZLatticeBasis_repr_apply, HasMFDerivAt.sum, MeasureTheory.UnifIntegrable.add, Orientation.oangle_eq_pi_iff_sameRay_neg, MeasureTheory.charFunDual_pi, strongConvexOn_zero, contDiff_tsum_of_eventually, iteratedDerivWithin_add, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, ContinuousLinearMap.integral_comp_id_comm, hasStrictFDerivAt_exp_smul_const, FormalMultilinearSeries.radius_eq_top_iff_summable_norm, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, SchwartzMap.fourier_convolution_apply, BoxIntegral.Integrable.tendsto_integralSum_sum_integral, Complex.hasStrictFDerivAt_log_real, MeasureTheory.SimpleFunc.setToSimpleFunc_const', iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, intervalIntegral.integral_interval_add_interval_comm, MeasureTheory.integral_integral_add', Submodule.starProjection_le_starProjection_iff, iteratedDerivWithin_vcomp_eq_sum_orderedFinpartition, iteratedFDerivWithin_zero_fun, MeasureTheory.integral_piecewise, SummableLocallyUniformlyOn_of_locally_bounded, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, RCLike.wInner_cWeight_const_right, TemperedDistribution.smulLeftCLM_sum, HasStrictFDerivAt.mul, ContinuousLinearMap.analyticOnNhd, fderiv_fst, EisensteinSeries.summable_right_one_div_linear_sub_one_div_linear_succ, sum_mul_eq_sub_sub_integral_mul', IsLocalMaxOn.hasFDerivWithinAt_eq_zero, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, ContinuousAlternatingMap.differentiable, Differentiable.fun_sum, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, hom_trivializationAt_apply, ContinuousLinearEquiv.uniqueDiffOn_image_iff, NumberField.mixedEmbedding.euclidean.finrank, LinearMap.eq_adjoint_iff_basis_right, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, Real.differentiable_fourierChar_neg_bilinear_left, MeasureTheory.lpNorm_expect_le, Submodule.instOrthogonalCompleteSpace, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, EisensteinSeries.summable_linear_right_add_one_mul_linear_right, AffineBasis.centroid_mem_interior_convexHull, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, fderiv_norm_smul_pos, FormalMultilinearSeries.le_radius_pi, continuousMultilinearCurryLeftEquiv_symm_apply, WithLp.unitization_mul, MeasureTheory.Measure.addHaar_closedBall_mul, hasFDerivAtFilter_const_add_iff, meromorphicOrderAt_add_eq_right_of_lt, DoubleCentralizer.instStarModule, fderivWithin_add, iteratedFDeriv_comp_add_right', HasStrictDerivAt.finset_prod, VectorBundleCore.localTriv.isLinear, instOrderIsoClassContinuousLinearMapIdOfNonUnitalAlgEquivClassOfStarHomClassOfContinuousMapClass, ContinuousMultilinearMap.smulRightL_apply, hasSum_one_div_pow_mul_fourier_mul_bernoulliFun, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, ContinuousLinearMap.instBorelSpace, LinearMap.isStarProjection_iff_isSymmetricProjection, LinearIsometryEquiv.toLinearEquiv_rTensor, CStarAlgebra.star_right_conjugate_le_norm_smul, HasDerivAt.comp_hasFDerivAt, innerₛₗ_apply_coe, MeasureTheory.SignedMeasure.toComplexMeasure_apply_im, Finset.analyticWithinAt_sum, iteratedDerivWithin_scomp_two, Complex.sin_eq_tsum', PiLp.inner_apply, TestFunction.instContinuousSMulReal, MeasureTheory.integral_comp_mul_left_Ioi, HasStrictFDerivAt.fun_add, MeasureTheory.Lp.neg_smul_neg, Complex.reCLM_norm, Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, Submodule.isOrtho_self, LinearIsometryEquiv.toLinearIsometry_lTensor, Real.Angle.abs_toReal_add_eq_two_pi_sub_abs_toReal_add_abs_toReal, ContinuousLinearMap.smul_compLpL, DifferentiableOn.prodMk, summable_geometric_of_norm_lt_one, MeasureTheory.SimpleFunc.map_integral, tendstoUniformly_tsum, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, ProbabilityTheory.instIsGaussianMapHAdd, VonNeumannAlgebra.instStarMemClass, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, ZMod.LFunction_residue_one, contMDiffOn_coordChangeL, MeasureTheory.Integrable.toL1_add, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_univ, NumberField.mixedEmbedding.convexBodySum_convex, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, PeriodPair.mul_ω₁_add_mul_ω₂_mem_lattice, DoubleCentralizer.intCast_fst, convex_halfSpace_im_le, HasFDerivAt.sqrt, MeasureTheory.measure_smul_setAverage, ClosedSubmodule.orthogonal_closure, ContDiffPointwiseHolderAt.iteratedFDeriv, ContinuousLinearMap.norm_compLpL_le, MeasureTheory.Integrable.comp_smul, ZSpan.vadd_mem_fundamentalDomain, LinearMap.toSeminormFamily_apply, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, MeasureTheory.Measure.LinearMap.quasiMeasurePreserving, mfderiv_fst, OrthonormalBasis.toMatrix_orthonormalBasis_mem_orthogonal, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, sum_mul_eq_sub_integral_mul, derivWithin_add_const, mfderivWithin_fst, Memℓp.add, fderiv_comp_add_left, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, Matrix.PosSemidef.sqrt_mul_self, Orientation.areaForm_rightAngleRotation_right, MeasureTheory.setIntegral_condExpL1CLM, ContDiffAt.continuousAt_iteratedFDeriv, ZSpan.fract_apply, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, NormedRing.inverse_one_sub_nth_order', Orientation.oangle_sign_add_right, norm_iteratedFDerivWithin_fderivWithin, Module.Basis.map_addHaar, ContinuousLinearMap.cpolynomialOn, MeasureTheory.Integrable.fourier_smul, HasFDerivWithinAt.finset_prod, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq', hasStrictFDerivAt_list_prod', MeasureTheory.integrable_finset_sum', continuousMultilinearCurryFin1_symm_apply, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, Quaternion.hasSum_expSeries_of_imaginary, HasStrictDerivAt.fun_add, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, differentiableWithinAt_comp_add_left, Trivialization.symmL_apply, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, intervalIntegral.integral_comp_mul_add, FormalMultilinearSeries.radius_pi_le, hom_trivializationAt_baseSet, Submodule.orthogonal_eq_inter, VectorFourier.integral_fourierIntegral_smul_eq_flip, ContinuousLinearMap.mdifferentiableOn, MeasureTheory.eLpNorm_condExpL2_le, PadicInt.mahlerEquiv_symm_apply, Orientation.inner_smul_rotation_pi_div_two_smul_left, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, HasStrictFDerivAt.smul_const, SchwartzMap.coe_apply, MeasureTheory.Measure.addHaar_ball, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, ContinuousLinearEquiv.coord_self, sub_smul_dslope, MeasureTheory.condExp_bot', SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, Orientation.oangle_smul_right_of_pos, norm_iteratedFDeriv_smul_le, Complex.ofReal_tsum, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, ContDiffAt.differentiableAt_iteratedFDeriv, intervalIntegral.integral_Iic_add_Ioi, LinearMap.IsPositive.adjoint_eq, abs_real_inner_div_norm_mul_norm_eq_one_iff, HasFDerivAt.hasFDerivAt_norm_smul_pos, Trivialization.prod_apply', MeasureTheory.Integrable.smul_const, Complex.integral_boundary_rect_eq_zero_of_continuousOn_of_differentiableOn, ContinuousLinearEquiv.comp_fderivWithin, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, iteratedDeriv_vcomp_two, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, ContinuousOn.continuousOn_iteratedFDeriv, ProbabilityTheory.instIsGaussianProdProdOfSecondCountableTopologyEither, HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, AddChar.coe_complexBasis, HasStrictFDerivAt.cosh, MeasureTheory.L1.integral_eq', Matrix.toEuclideanLin_eq_toLin_orthonormal, IsBoundedBilinearMap.differentiable, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MeasureTheory.integral_finset, isStarProjection_iff_eq_starProjection, ContinuousLinearMap.norm_adjoint_comp_self, summable_norm_sum_mul_antidiagonal_of_summable_norm, LinearPMap.mem_adjoint_domain_iff, Orientation.inner_smul_rotation_pi_div_two_smul_right, LinearMap.IsSymmetricProjection.le_iff_range_le_range, Asymptotics.IsLittleO.sum_range, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, VonNeumannAlgebra.instSubringClass, NormedSpace.expSeries_hasSum_exp_of_mem_ball', VectorPrebundle.coordChange_apply, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, Real.circleAverage_add, EuclideanGeometry.orthogonalProjection_apply, hasFDerivAt_exp_zero_of_radius_pos, CStarAlgebra.span_nonneg_inter_ball, EuclideanGeometry.Sphere.direction_orthRadius, Bundle.ContinuousLinearMap.memTrivializationAtlas, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, differentiableWithinAt_piLp, LinearIsometry.rTensor_apply, hasStrictFDerivAt_pow, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, ContinuousLinearEquiv.differentiableWithinAt, Matrix.l2_opNNNorm_conjTranspose_mul_self, intervalIntegral.integral_interval_add_Ioi, iteratedDeriv_fun_mul, fderiv_comp_smul, Submodule.instHasOrthogonalProjectionTop, iteratedFDeriv_clm_apply_const_apply, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, LinearIsometry.toLinearMap_lTensor, coe_innerₛₗ_apply, ProbabilityTheory.covarianceBilinDual_of_not_memLp, FormalMultilinearSeries.norm_changeOriginSeriesTerm, MeromorphicAt.fun_add, TemperedDistribution.smulLeftCLM_smul, NormedRing.inverse_add_nth_order, VectorBundleCore.vectorBundle, VectorField.lieBracketWithin_const_smul_right, curveIntegral_add, TensorProduct.nndist_tmul_le, ProbabilityTheory.strong_law_ae_of_measurable, InnerProductGeometry.angle_eq_pi_iff, HasFTaylorSeriesUpTo.zero_eq', Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, ContinuousLinearEquiv.analyticAt, Complex.two_pi_I_inv_smul_circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, InnerProductSpace.continuousLinearMapOfBilin_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, fourierCoeffOn.const_smul, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, PointwiseConvergenceCLM.withSeminorms, PeriodPair.indep, MeasureTheory.convolution_eq_swap, Real.Angle.tan_add_pi, Real.fourierInv_eq, isInvertible_mfderivWithin_extChartAt_symm, ModelWithCorners.coe_transContinuousLinearEquiv_symm, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, mulInvariantVectorField_smul, differentiable_finCons, hasDerivAt_const_add_iff, ProperCone.innerDual_iUnion, HasFDerivAt.prodMap, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', norm_injOn_ray_left, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, DFinsupp.inner_sum, SchwartzMap.tsum_eq_tsum_fourierIntegral, FormalMultilinearSeries.id_apply_one, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, Real.Angle.sin_antiperiodic, ContinuousLinearMap.norm_snd, ZSpan.repr_floor_apply, inner_matrix_row_row, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.iteratedFDeriv_comp_right, DifferentiableOn.circleIntegral_one_div_sub_center_pow_smul, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, meromorphicOrderAt_add_of_top_right, ContinuousMultilinearMap.apply_zero_uncurry0, HasStrictFDerivAt.fun_mul, Complex.hasSum_arctan, ContinuousLinearMap.norm_holderL_le, SmoothPartitionOfUnity.contMDiff_smul, hasFDerivWithinAt_pow, contDiff_infty_iff_fderiv, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, LinearMap.polar_mem_iff, interval_average_eq, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, curveIntegral_sub, HasFDerivWithinAt.mul', HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, SchwartzMap.instFourierInvSMul, differentiableWithinAt_complex_iff_differentiableWithinAt_real, ContinuousLinearMap.comp_analyticOnNhd, TemperedDistribution.derivCLM_apply_apply, OrthonormalBasis.tensorProduct_apply, HurwitzZeta.hasSum_int_completedCosZeta, TorusIntegrable.function_integrable, range_derivWithin_subset_closure_span_image, HasStrictFDerivAt.sinh, Complex.hasSum_cosh, Asymptotics.IsLittleO.add_isEquivalent, MeasureTheory.Supermartingale.smul_nonneg, norm_iteratedFDeriv_zero, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, mfderiv_subtype_coe_Icc_one, Complex.taylorSeries_eq_of_entire', MeasureTheory.integral_count, HasFDerivAt.cpow, deriv_sum, Complex.conj_tsum, Polynomial.hasFDerivWithinAt, MeasureTheory.condExpIndSMul_smul', LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, MDifferentiableWithinAt.smul, HasMFDerivWithinAt.comp, Complex.isometryOfOrthonormal_symm_apply, MeasureTheory.weightedSMul_smul_measure, VectorField.lieBracket_smul_right, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, intervalIntegral.integral_hasFDerivAt, ProperCone.innerDual_toSubmodule, HasFiniteFPowerSeriesOnBall.changeOrigin, CurveIntegrable.sub, InnerProductSpace.HarmonicAt.comp_CLM, deriv_pow', HasFiniteFPowerSeriesOnBall.fderiv_eq, VectorField.lieBracketWithin_add_right, NormedSpace.exp_sum_of_commute, smul_closedBall, ContMDiffOn.smul, ModularForm.coe_trace, MeasureTheory.condExp_stronglyMeasurable_bilin_of_bound, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, ProbabilityTheory.instIsGaussianMapHSub_1, derivWithin_add, ContinuousAlternatingMap.hasFDerivAt, FormalMultilinearSeries.summable, HasFPowerSeriesAt.locally_zero_iff, InnerProductSpace.laplacian_CLE_comp_left, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, MeasureTheory.IntegrableOn.continuousOn_smul_of_subset, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, eventually_norm_trivializationAt_lt, TensorProduct.congrIsometry_apply, integral_withDensity_eq_integral_smul₀, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', ConvexOn.exists_affine_le_of_lt, ProbabilityTheory.IsGaussian.charFunDual_eq', HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, MeasureTheory.integrable_const_add_iff, AnalyticOnNhd.fun_const_smul, MeasureTheory.integral_prod_smul, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, AddChar.complexBasis_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, MeasureTheory.integrableOn_Ioi_comp_rpow_iff, innerSL_apply_coe, differentiableOn_finCons, Differentiable.add, fderivWithin_mul', HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, ContinuousLinearMap.isPositive_one, HasDerivWithinAt.fun_sum, ContinuousLinearMap.isPositive_sum, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Orientation.oangle_smul_right_self_of_nonneg, HasStrictFDerivAt.inner, ZSpan.fract_eq_fract, HasMFDerivAt.comp, hasDerivAt_pi, MeasureTheory.ContinuousMap.inner_toLp, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, MeasureTheory.integrable_fun_norm_addHaar, LinearMap.toMatrix_adjoint, ProbabilityTheory.isPositive_covarianceOperator, MeasureTheory.SimpleFunc.integral_add, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Orientation.oangle_add_left_eq_arccos_of_oangle_eq_pi_div_two, Matrix.exp_units_conj, hasDerivWithinAt_finCons, HasFDerivAt.cosh, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, ValueDistribution.characteristic_sum_top_eventuallyLE, ZLattice.sum_piFinset_Icc_rpow_le, exists_continuousLinearEquiv_fderiv_symm_eq, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, Complex.arg_mul_coe_angle, HilbertBasis.tsum_inner_mul_inner, Meromorphic.smul, MeasureTheory.AEStronglyMeasurable.convolution_integrand', Orientation.oangle_neg_orientation_eq_neg, FormalMultilinearSeries.summable_norm_apply, Complex.hasSum_cos, Orientation.oangle_sign_smul_add_smul_left, summable_of_sum_range_norm_le, DifferentiableWithinAt.fun_add, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, MeasureTheory.IsAddFundamentalDomain.setIntegral_eq_tsum', EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, mfderiv_neg, Real.Angle.sin_eq_real_sin_iff_eq_or_add_eq_pi, sum_mul_eq_sub_integral_mul₀, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, ContinuousLinearMap.integral_comp_comm, hasFDerivWithinAt_iff_tendsto, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, ContDiffOn.differentiableOn_iteratedFDerivWithin, TensorProduct.nnnorm_lid, LinearMap.im_inner_adjoint_mul_self_eq_zero, HurwitzZeta.hasSum_int_completedSinZeta, NormedSpace.expSeries_summable_of_mem_ball', ProbabilityTheory.IndepFun.charFun_map_add_eq_mul, MeasureTheory.average_union_mem_openSegment, fderiv_pi, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', zeta_nat_eq_tsum_of_gt_one, Matrix.l2_opNorm_def, fderivWithin_comp_add_right, Quaternion.hasSum_coe, Real.fourierInv_eq', Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', OrthogonalFamily.linearIsometry_apply, HasFiniteFPowerSeriesOnBall.sub, Matrix.toEuclideanLin_toLp, HasStrictFDerivAt.const_add, continuous_stereoInvFun, MellinConvergent.cpow_smul, ContinuousLinearMap.iteratedFDeriv_comp_left, HurwitzZeta.hasSum_nat_hurwitzZetaOdd_of_mem_Icc, Real.fourierIntegral_deriv, Submodule.orthogonalProjection_eq_zero_iff, ContinuousLinearMap.holderL_apply_apply, FormalMultilinearSeries.comp_rightInv_aux2, AddChar.expect_apply_eq_ite, LeftInvariantDerivation.toFun_eq_coe, Complex.reCLM_enorm, MeasureTheory.integral_fun_snd, MeasureTheory.condExpInd_empty, MeasureTheory.Integrable.hasSum_intervalIntegral_comp_add_int, MeasureTheory.condExpL1CLM_smul, Matrix.l2_opNorm_mul, MeasureTheory.AEStronglyMeasurable.convolution_integrand, InnerProductGeometry.sin_angle_add, InnerProductGeometry.angle_add_eq_arcsin_of_inner_eq_zero, norm_innerSL_le, MeromorphicAt.smul, DifferentiableAt.add, Real.Angle.cos_antiperiodic, VectorFourier.hasFDerivAt_fourierChar_smul, Finset.analyticWithinAt_fun_sum, MeasureTheory.LocallyIntegrableOn.continuousOn_smul, HasStrictFDerivAt.sub, Real.fourierIntegral_real_eq, HasStrictFDerivAt.csinh, Real.circleAverage_fun_add, fderiv_const_smul_of_field, PeriodPair.lattice_eq_span_range_basis, HasFDerivWithinAt.cos, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, ContinuousLinearMap.IsPositive.isSelfAdjoint, MeasureTheory.measure_unitBall_eq_integral_div_gamma, CStarAlgebra.exists_sum_four_unitary, HasLineDerivAt.smul, OrthonormalBasis.sum_repr', continuousMultilinearCurryRightEquiv_apply, Submodule.coe_orthogonalProjection_apply, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, Submodule.starProjection_coe_eq_isCompl_projection, IsLocalDiffeomorphAt.mfderivToContinuousLinearEquiv_coe, HasFDerivAt.neg, InnerProductGeometry.sin_angle_add_mul_norm_of_inner_eq_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, nnnorm_cfcₙ_nnreal_le, hasFDerivAtFilter_add_const_iff, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, MeasureTheory.average_union, LinearMap.injective_iff_antilipschitz, ContinuousLinearEquiv.iteratedFDerivWithin_comp_left, SmoothBumpCovering.embeddingPiTangent_coe, analyticOrderAt_smul_eq_top_of_right, circleAverage_sub_sub_inv_smul_of_differentiable_on_off_countable, AnalyticOnNhd.const_smul, SchwartzMap.integral_smul_deriv_right_eq_neg_left, HasFPowerSeriesWithinAt.hasFDerivWithinAt, apply_le_nnnorm_cfcₙ_nnreal, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, iteratedDeriv_sum, ProbabilityTheory.covarianceBilinDual_of_not_memLp', MeasureTheory.integral_iUnion_fintype, instModuleFree_of_discrete_submodule, LinearMap.posSemidef_toMatrix_iff, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, PeriodPair.ω₁_mem_lattice, Orientation.two_zsmul_oangle_smul_smul_self, Submodule.starProjection_apply_eq_zero_iff, fderiv_list_prod', SchwartzMap.fourier_convolution, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_continuousOn, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', SmoothPartitionOfUnity.IsSubordinate.contMDiff_finsum_smul, UnitAddTorus.span_mFourierLp_closure_eq_top, fderivWithin_comp_smul, Orientation.rotation_symm_apply, ZMod.LFunction_dft, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, VectorFourier.integrable_fourierPowSMulRight, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, PeriodPair.analyticOnNhd_weierstrassP, HasMFDerivAt.mul', ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, HurwitzZeta.hasSum_int_completedHurwitzZetaEven, tendstoUniformlyOn_tsum_nat_eventually, WeakFEPair.f_modif_aux2, HasFDerivAt.star_star, continuousOn_cfcₙ_nnreal_setProd, exists_continuousLinearEquiv_fderivWithin_symm_eq, eHolderNorm_smul, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, MeasureTheory.hasSum_integral_of_summable_integral_norm, mellin_cpow_smul, HasGradientWithinAt.hasFDerivWithinAt, FormalMultilinearSeries.rightInv_coeff_one, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay, hasFDerivAt_exp, Orientation.volumeForm_comp_linearIsometryEquiv, mfderivWithin_id, Differentiable.smul_const, RCLike.hasSum_conj', ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, InnerProductGeometry.IsConformalMap.preserves_angle, LinearMap.polar_mem, ApproximatesLinearOn.lipschitzOnWith, Orthonormal.tmul, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, ContinuousLinearMap.norm_holder_apply_apply_le, LinearMap.isPositive_one, Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two, mfderivWithin_sumSwap, MeasureTheory.charFun_map_const_add, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, MeasureTheory.AEEqFun.Integrable.add, fderivWithin_sum, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, MeasureTheory.integral_integral_add, BoundedContinuousFunction.range_toLp, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, hasFDerivAtFilter_pi', constFormalMultilinearSeries_apply_succ, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, mfderiv_prod_left, Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, Complex.hasSum_iff, ContinuousLinearMap.coe_ofIsClosedGraph, ProbabilityTheory.Kernel.integral_withDensity, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, NumberField.mixedEmbedding.norm_negAt, Orientation.oangle_sign_smul_sub_right, DoubleCentralizer.toProdHom_apply, Submodule.isOrtho_bot_left, DoubleCentralizer.mul_snd, HasFDerivWithinAt.comp_hasFDerivAt, MonotoneOn.nnnorm_cfcₙ, hasMFDerivWithinAt_inl, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.fpowerSeries_apply_one, summable_pow_mul_cexp, MeasureTheory.L1.integral_eq, fderiv_continuousLinearEquiv_comp', continuousOn_clm_apply, MeasureTheory.IsFundamentalDomain.integral_eq_tsum', WeakFEPair.Λ_residue_zero, ModularFormClass.hasSum_qExpansion, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, HasFDerivAt.fun_mul', intervalIntegral.integral_add_adjacent_intervals_cancel, constFormalMultilinearSeries_zero, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, Real.fourierIntegralInv_eq, MeasureTheory.weightedSMul_zero_measure, taylor_within_apply, LinearPMap.adjointAux_inner, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, ContDiffBump.convolution_tendsto_right_of_continuous, WithCStarModule.prod_inner, MeasureTheory.integrable_add_iff_integrable_left', Real.Angle.tan_periodic, fderivInnerCLM_apply, eventually_norm_mfderiv_extChartAt_lt, ContinuousMultilinearMap.curryFinFinset_apply, EuclideanGeometry.orthogonalProjection_eq_iff_mem, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, CircleIntegrable.finsum, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, OrderedFinpartition.applyOrderedFinpartition_update_right, derivWithin_smul_const, HasDerivWithinAt.sum, BoxIntegral.HasIntegral.add, MeasureTheory.eLpNorm_sum_le, MeasureTheory.integral_smul_measure, Real.Angle.coe_pi_add_coe_pi, summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexp, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, VectorBundleCore.coordChange_comp, SchwartzMap.denseRange_toLpCLM, isMIntegralCurve_comp_mul_ne_zero, ConformalAt.const_smul, hasFDerivAt_fst, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, mfderiv_comp_mfderivWithin_of_eq, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, summable_mul_of_bigO_atTop', mdifferentiableWithinAt_hom_bundle, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, HasSumUniformlyOn.of_norm_le_summable_eventually, Real.fderiv_fourierChar_neg_bilinear_left_apply, Module.Basis.addHaar_self, Differentiable.smul, isConformalMap_iff_is_complex_or_conj_linear, ContinuousLinearEquiv.contDiffPointwiseHolderAt_left_comp, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, RCLike.span_one_I, PeriodPair.ω₂_mem_lattice, hasFDerivAt_pi', ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, summable_jacobiTheta₂'_term_iff, IsSymmSndFDerivWithinAt.eq, CurveIntegrable.add, IsLocalExtr.hasFDerivAt_eq_zero, MeasureTheory.integral_add, hasFPowerSeriesAt_iff', Real.fourier_eq', fderivWithin_fun_sum, MeasureTheory.charFunDual_eq_prod_iff', LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, DFinsupp.sum_inner, InnerProductSpace.laplacianWithin_CLE_comp_left, hasMellin_const_smul, deriv_const_smul_field, mulInvariantVectorField_add, Submodule.orthogonalProjection_norm_le, HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, WeakFEPair.Λ_residue_k, DifferentiableAt.sum, Function.HasTemperateGrowth.isBigO_uniform, differentiableOn_snd, iteratedFDerivWithin_zero_apply, Orientation.rightAngleRotation_neg_orientation, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, Fourier.fourierIntegral_comp_add_right, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, fderiv_single, hom_trivializationAt_target, RCLike.ofReal_sum, CircleIntegrable.add, finrank_euclideanSpace_fin, MeasureTheory.MemLp.toLp_const_smul, Submodule.orthogonalProjection_orthogonal, MeasureTheory.memLp_finset_sum, differentiableWithinAt_const_add_iff, Orientation.oangle_add_cyc3_neg_right, DifferentiableWithinAt.const_add, hasFDerivAt_list_prod_attach', Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, instContMDiffVectorBundleSomeENatTopTangentSpaceOfIsManifold, Orientation.cos_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, MeasureTheory.IntegrableOn.smul_continuousOn_of_subset, geom_series_eq_inverse, MeasureTheory.norm_condExpL2_le_one, ContinuousLinearEquiv.mdifferentiableAt, MeasureTheory.ConvolutionExists.add_distrib, HasCompactSupport.convolution_integrand_bound_right, LinearMap.mem_span_iff_continuous, integral_comp_pi_polarCoord_symm, BoxIntegral.Integrable.add, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, deriv_add, VectorField.leibniz_identity_lieBracketWithin, HasDerivAt.comp_semilinear, MeasureTheory.integral_iUnion_ae, MeasureTheory.condExpL2_comp_continuousLinearMap, RCLike.re_extendTo𝕜'ₗ, InnerProductSpace.symm_toEuclideanLin_rankOne, inCoordinates_tangent_bundle_core_model_space, isOpen_setOf_linearIndependent, NormedSpace.expSeries_hasSum_exp_of_mem_ball, ZSpan.setFinite_inter, PeriodPair.derivWeierstrassPExcept_def, differentiableOn_const_add_iff, MeasureTheory.Supermartingale.add, AnalyticOnNhd.eval_continuousLinearMap, hasStrictFDerivAt_pi, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, ContinuousLinearMap.adjoint_innerSL_apply, EisensteinSeries.tsum_symmetricIco_tsum_eq_S_act, HasFDerivAt.rpow, ZLattice.coe_comap, sameRay_iff_norm_smul_eq, Submodule.IsOrtho.comap, hasFDerivAt_iff_isLittleO_nhds_zero, LSeries_eq_mul_integral', DifferentiableWithinAt.smul, ContDiffMapSupportedIn.structureMapLM_apply, CStarAlgebra.span_unitary, ContinuousLinearMap.circleAverage_comp_comm, derivWithin_const_smul', VectorPrebundle.contMDiffCoordChange_apply, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, Orthonormal.inner_sum, differentiableWithinAt_fst, Summable.hasSumUniformlyOn_log_one_add, continuousOn_coordChange, HasCompactSupport.convolution_integrand_bound_right_of_subset, LinearPMap.adjoint_apply_of_dense, Real.fourier_smul_convolution_eq, ContinuousLinearMap.IsPositive.re_inner_nonneg_right, DoubleCentralizer.smul_snd, inverse_mfderiv_add_left, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, MeasureTheory.Lp.simpleFunc.toLp_add, ContinuousLinearMap.integral_id_map, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, DifferentiableAt.fun_add_iff_left, MeasureTheory.condExpL2_const_inner, curveIntegrable_restrictScalars_iff, MeasureTheory.integral_countable', IsCoercive.isClosed_range, TemperedDistribution.laplacianCLM_apply, isBigO_rpow_zero_log_smul, contMDiffWithinAt_hom_bundle, ProperCone.innerDual_innerDual, TensorProduct.ext_iff_inner_right_threefold, mem_contMDiffFiberwiseLinear_iff, curveIntegralFun_def, Submodule.coe_prodEquivOfClosedCompl, ContinuousAlternatingMap.alternatizeUncurryFin_apply, ContinuousLinearMap.intervalIntegral_comp_comm, hasDerivAt_finCons, Orientation.areaForm_rightAngleRotation_left, HasFDerivAt.smul, ContinuousLinearMap.contMDiffAt, CStarAlgebra.exists_sum_four_nonneg, Complex.taylorSeries_eq_on_emetric_ball', isOpen_setOf_nat_le_rank, Real.Angle.two_nsmul_eq_iff, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, HasFDerivWithinAt.sin, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, MemHolder.smul_iff, hasFPowerSeriesAt_iff, HasStrictFDerivAt.exp, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NumberField.mixedEmbedding.disjoint_negAt_plusPart, MeasureTheory.integral_convolution, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_le, fderiv_norm_sq_apply, Submodule.starProjection_eq_self_iff, RCLike.imCLM_apply, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq, RightDerivMeasurableAux.le_of_mem_A, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, EuclideanGeometry.Sphere.finrank_orthRadius, PositiveLinearMap.preGNS_norm_sq, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, ContinuousLinearEquiv.comp_right_differentiable_iff, aestronglyMeasurable_withDensity_iff, InnerProductGeometry.ConformalAt.preserves_angle, Affine.Simplex.points_vsub_eulerPoint, TensorProduct.assocIsometry_symm_apply, Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two, hasFDerivAt_exp_of_mem_ball, InnerProductGeometry.angle_smul_left_of_pos, InnerProductSpace.gramSchmidt_mem_span, iteratedFDerivWithin_add_apply', norm_iteratedFDeriv_fderiv, MeasureTheory.Lp.toTemperedDistribution_smul_eq, Complex.differentiableOn_tsum_of_summable_norm, HasFDerivAtFilter.hasDerivAtFilter, TensorProduct.inner_map_map, MeasureTheory.Measure.integral_comp_div, intervalIntegral.integral_const, const_smul_mfderiv, fderiv_norm_sq, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, MeasureTheory.Measure.toSphere_apply_univ', HasMFDerivAt.const_smul, HasDerivAtFilter.fun_sum, CircleIntegrable.fun_sum, TensorProduct.toLinearMap_mapInclIsometry, mfderivWithin_snd, MeasureTheory.condExp_bot_ae_eq, Complex.equivRealProdCLM_apply, Function.HasTemperateGrowth.isBigO, FormalMultilinearSeries.hasFPowerSeriesOnBall, deriv_fun_const_smul', tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm, Real.Angle.sign_antiperiodic, ContinuousLinearMap.isUnit_iff_bijective, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', EulerProduct.exp_tsum_primes_log_eq_tsum, MeasureTheory.condExpL1_eq, analyticOrderAt_add_of_ne, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, surjective_stereographic, ContinuousLinearMap.mdifferentiableAt, ContinuousLinearMap.toSesqForm_apply_norm_le, PeriodPair.finrank_lattice, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, DifferentiableOn.sum, PeriodPair.derivWeierstrassP_add_coe, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Orientation.oangle_smul_left_of_pos, HilbertBasis.hasSum_repr_symm, CStarMatrix.norm_def, ProbabilityTheory.instIsGaussianMapNeg, hasStrictFDerivAt_sub_const, IsMIntegralCurveAt.eventually_hasDerivAt, MeasureTheory.IsFundamentalDomain.integral_eq_tsum, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, hasFDerivAt_stereoInvFunAux_comp_coe, LinearMap.adjoint_id, contDiff_succ_iff_hasFDerivAt, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', MeasureTheory.Measure.ContinuousLinearMap.quasiMeasurePreserving, derivWithin_fun_pow', hasFDerivWithinAt_comp_add_left, mfderiv_prod_eq_add_apply, ODE.picard_apply, MeasureTheory.condExpL2_indicator_nonneg, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, NumberField.mixedEmbedding.convexBodyLT'_convex, Submodule.coe_prodEquivOfClosedCompl_symm, DoubleCentralizer.add_toProd, MeasureTheory.charFun_map_add_const, MeasureTheory.Integrable.smul_of_top_right, HasFDerivWithinAt.sum, TemperedDistribution.smulLeftCLM_apply_apply, summable_jacobiTheta₂_term_iff, HasDerivAt.tendsto_slope_zero_right, AddCircle.ergodic_zsmul_add, Complex.conjCLE_coe, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, IsSymmSndFDerivWithinAt.iteratedFDerivWithin_cons, hasFDerivAt_pi, mfderivWithin_comp, Orientation.inner_mul_areaForm_sub, differentiableOn_fst, ContinuousLinearMap.hasDerivAt_of_bilinear, ProbabilityTheory.covarianceOperator_of_not_memLp, InnerProductSpace.HarmonicAt.add, inner_matrix_col_col, hasFDerivWithinAt_snd, MeasureTheory.Measure.addHaar_closedBall', Matrix.IsHermitian.im_star_dotProduct_mulVec_self, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, uniformConvexOn_zero, HasFDerivAt.comp_hasDerivAt_of_eq, ContMDiff.coordChangeL, VectorField.lieBracketWithin_const_smul_left, mellin_comp_mul_left, DifferentiableOn.fun_smul, differentiableWithinAt_finCons, ContinuousMultilinearMap.norm_ofSubsingleton_id, HasFDerivWithinAt.fun_mul, addInvariantVectorField_add, derivWithin_pow', ZSpan.fundamentalDomain_ae_parallelepiped, IsBoundedBilinearMap.differentiableWithinAt, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, InnerProductGeometry.angle_eq_angle_add_add_angle_add, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, pi_mul_cot_pi_q_exp, Continuous.cfcₙ_nnreal', contDiffWithinAt_succ_iff_hasFDerivWithinAt, Asymptotics.IsBigO.hasFDerivAt, PeriodPair.weierstrassPExcept_add, hasFDerivWithinAt_apply, intervalIntegral.inv_smul_integral_comp_add_div, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, ZLattice.exists_finsetSum_norm_rpow_le_tsum, Real.Angle.nsmul_eq_iff, HasFDerivAt.fun_sub, HasFDerivAt.const_cpow, DifferentiableWithinAt.add_const, tendsto_smul_comp_nat_floor_of_tendsto_nsmul, ContMDiffMap.coeFnLinearMap_apply, Submodule.isHilbertSumOrthogonal, DoubleCentralizer.neg_fst, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, ZLattice.abs_repr_le, CStarMatrix.inner_toCLM_conjTranspose_right, HasFDerivWithinAt.cosh, norm_jacobiTheta₂_term_fderiv_le, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, MDifferentiableWithinAt.sum, HasFDerivAt.comp, AnalyticWithinAt.smul, iteratedDerivWithin_vcomp_three, Matrix.PosDef.re_dotProduct_pos, HasFDerivAtFilter.add_const, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContDiffBump.sub, mellin_comp_mul_right, NonUnitalStarAlgHom.instContinuousLinearMapClassComplex, GaussianFourier.integral_rexp_neg_mul_sq_norm, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, VectorField.mpullbackWithin_add_apply, Summable.tendstoUniformlyOn_tsum_nat_log_one_add, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, TensorProduct.edist_tmul_le, fderiv_eq_smul_deriv, unitary.inner_map_map, CStarMatrix.toCLM_apply_single_apply, LinearMap.IsPositive.conj_adjoint, ContinuousMultilinearMap.uncurryRight_norm, MeasureTheory.Measure.addHaar_real_closedBall, HasStrictFDerivAt.rpow_const, ZLattice.comap_refl, hasStrictFDerivAt_exp_smul_const_of_mem_ball, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge, Complex.arg_neg_coe_angle, hasFDerivAt_prodMk_right, DoubleCentralizer.toProdMulOppositeHom_apply, HasStrictDerivAt.fun_smul, ContinuousLinearMap.coeFn_compLp', Unitization.cfcₙ_eq_cfc_inr, MeasureTheory.average_eq, ContinuousLinearEquiv.mfderivWithin_eq, curveIntegralFun_zero, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', ProbabilityTheory.indepFun_iff_charFunDual_prod, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, Submodule.orthogonalProjectionFn_mem, MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOn, LinearMap.IsPositive.re_inner_nonneg_left, iteratedFDeriv_const_of_ne, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, intervalIntegral.smul_integral_comp_add_mul, Complex.restrictScalars_toSpanSingleton', HasFDerivWithinAt.list_prod', Complex.hasSum_taylorSeries_on_eball, QuadraticMap.hasLineDerivAt, MeasureTheory.Measure.integral_comp_inv_mul_right, Besicovitch.SatelliteConfig.exists_normalized_aux3, ContinuousLinearMap.coeFn_ofIsClosedGraph, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, VectorField.mlieBracket_const_smul_right, norm_inner_div_norm_mul_norm_eq_one_iff, ProbabilityTheory.integral_tilted_mul_eq_cgf, tendsto_zero_geometric_tsum_pnat, FormalMultilinearSeries.comp_assoc, InnerProductGeometry.norm_div_cos_angle_add_of_inner_eq_zero, ModelWithCorners.extChartAt_transContinuousLinearEquiv_target, MeasureTheory.Measure.addHaar_smul, HasFPowerSeriesWithinAt.comp, Submodule.mem_iff_norm_starProjection, Complex.reCLM_apply, fderivWithin_pow', Orientation.abs_volumeForm_apply_le, PeriodPair.differentiableOn_derivWeierstrassPExcept, continuousMultilinearCurryFin1_apply, NormedAddCommGroup.summable_imp_tendsto_of_complete, IsCoercive.antilipschitz, LeftInvariantDerivation.evalAt_apply, EisensteinSeries.tsum_symmetricIco_tsum_sub_eq, hasFDerivAt_finset_prod, unitary.linearIsometryEquiv_coe_apply, HilbertBasis.finite_spans_dense, Trivialization.coordChangeL_prod, mfderiv_id, MeasureTheory.Measure.addHaar_image_homothety, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne, MeasureTheory.integral_finset_biUnion, Orientation.oangle_add_oangle_rev_neg_right, mfderivWithin_comp_of_eq bridge: BoxIntegral.hasIntegralIndicatorConst
toESeminormedAddMonoid 📖	CompOp	1409 math, 1 bridge math: AnalyticWithinAt.const_smul, MeasureTheory.Measure.integral_comp_inv_smul, iteratedDeriv_scomp_two, ContinuousLinearMap.rayleigh_smul, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, MemHolder.nsmul, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Orientation.oangle_sign_smul_add_right, DiffContOnCl.smul, MeasureTheory.setIntegral_tilted, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, ModularForm.mul_slash_SL2, EuclideanGeometry.dist_smul_vadd_sq, real_inner_div_norm_mul_norm_eq_neg_one_iff, MeasureTheory.eLpNorm'_sum_le, ModularForm.smul_slash, MeasureTheory.condExpL1_smul, HasFDerivWithinAt.continuousMultilinearMap_apply, OrthonormalBasis.orthogonalProjection_eq_sum, MeasureTheory.Martingale.smul, mellin_eq_fourier, SchwartzMap.instLineDerivLeftSMulReal, CStarRing.norm_unitary_smul, AnalyticOnNhd.smul, differentiableOn_star_iff, PowerSeries.IsRestricted.smul, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, EuclideanGeometry.reflection_orthogonal_vadd, MeasureTheory.eLpNormEssSup_const_smul, MeasureTheory.hausdorffMeasure_segment, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, curveIntegral_smul, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, IntervalIntegrable.smul_continuousOn, Orientation.inner_rotation_pi_div_two_right_smul, Orientation.oangle_add_left_smul_rotation_pi_div_two, derivWithin_smul, MeasureTheory.integral_smul_nnreal_measure, Complex.circleTransformDeriv_eq, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, fderivWithin_comp_add_left, MeasureTheory.Measure.integral_comp_mul_right, HasFDerivWithinAt.pow, intervalIntegral.inv_smul_integral_comp_div_add, MeromorphicOn.divisor_fun_smul, MeasureTheory.IntegrableOn.continuousOn_smul, taylorWithinEval_hasDerivAt_Ioo, MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul, fderivWithin_fun_smul, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, Real.fourierIntegralInv_eq', ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, SlashInvariantForm.slash_action_eq', ModularForm.mul_slash, ContDiffOn.smul_const, BoundedContinuousFunction.algebraMap_apply, Complex.integral_boundary_rect_eq_zero_of_differentiableOn, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, norm_add_eq_iff_real, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, contDiffAt_norm_smul_iff, norm_iteratedFDerivWithin_smul_le, ContDiffMapSupportedIn.iteratedFDerivLM_apply, MeasureTheory.weightedSMul_apply, MeasureTheory.LocallyIntegrable.integrable_smul_right_of_hasCompactSupport, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, Orientation.tan_oangle_add_left_smul_rotation_pi_div_two, hasDerivWithinAt_taylorWithinEval, Real.fourierIntegral_eq, MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one, OnePoint.isBoundedAt_iff_exists_SL2Z, circleIntegral_def_Icc, MeasureTheory.integral_unique, setIntegral_withDensity_eq_setIntegral_smul₀, Complex.hasSum_taylorSeries_of_entire, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_ae, intervalIntegral.intervalIntegral_eq_integral_uIoc, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, circleIntegrable_iff, LinearMap.IsSymmetric.diagonalization_apply_self_apply, lp.coeFn_star, hasFPowerSeriesOnBall_pi_iff, SmoothPartitionOfUnity.contMDiffAt_finsum, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContDiffMapSupportedIn.structureMapCLM_apply, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, setIntegral_withDensity_eq_setIntegral_toReal_smul, MeasureTheory.Lp.coeFn_const, aemeasurable_smul_const, DifferentiableWithinAt.fun_const_smul, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, MeasureTheory.Measure.toSphere_apply_aux, tendsto_integral_peak_smul_of_integrable_of_tendsto, inner_eq_norm_mul_iff, tendsto_smul_comp_nat_floor_of_tendsto_mul, VectorField.mpullbackWithin_smul, eqOn_dslope_sub_smul, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, Differentiable.fun_smul, MeasureTheory.condExpIndL1Fin_smul, SlashInvariantForm.quotientFunc_mk, InnerProductGeometry.angle_smul_right_of_pos, WeakFEPair.symm_Λ₀_eq, ModularForm.SL_slash, intervalIntegral.integral_comp_sub_div, FormalMultilinearSeries.derivSeries_coeff_one, tangentConeAt_nonempty_of_properSpace, intervalIntegral.integral_comp_mul_left, AnalyticAt.fun_const_smul, deriv_const_smul, intervalIntegral.integral_comp_mul_sub, derivWithin_comp_const_sub, Submodule.starProjection_singleton, Orientation.tan_oangle_add_right_smul_rotation_pi_div_two, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable_aux, curveIntegralFun_smul, addInvariantVectorField_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, ProbabilityTheory.integral_gaussianReal_eq_integral_smul, hasDerivWithinAt_iff_isLittleO, derivWithin_fun_const_smul_field, MeasureTheory.IntegrableOn.smul_continuousOn, combo_mem_ball_of_ne, Complex.hasSum_taylorSeries_on_ball, fderiv_fun_pow, conformal_const_smul, lp.coeFnAddMonoidHom_apply, ContDiffWithinAt.fun_smul, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, hasFDerivWithinAt_comp_smul_iff_smul, sum_cauchyPowerSeries_eq_integral, fderiv_fun_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivAt, MeromorphicOn.fun_smul, MeasureTheory.smul_convolution, Real.vector_fourierIntegral_eq_integral_exp_smul, VectorField.mlieBracketWithin_const_smul_right, PadicInt.mahlerTerm_apply, iteratedFDerivWithin_comp_add_right', Complex.taylorSeries_eq_of_entire, HasStrictFDerivAt.pow, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.fourier_real_eq_integral_exp_smul, ProbabilityTheory.covarianceOperator_apply, InnerProductGeometry.angle_smul_left_of_neg, MeasureTheory.integral_tilted, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, smul_unitClosedBall, MeasureTheory.average_mem_openSegment_compl_self, TestFunction.continuous_iff_continuous_comp, MeasureTheory.L1.integral_smul, DifferentiableOn.smul_const, TestFunction.toBoundedContinuousFunctionCLM_apply, Conformal.const_smul, MeasureTheory.Lp.instFourierInvSMul, difference_quotients_converge_uniformly, HasSum.hasSum_at_zero, HasFDerivAt.norm_sq, derivWithin.scomp_of_eq, fderiv_const_smul_field, polynomialFunctions.starClosure_topologicalClosure, tendsto_integral_exp_inner_smul_cocompact_of_continuous_compact_support, threeAPFree_sphere, AddCircle.integral_haarAddCircle, WithCStarModule.inner_def, InnerProductSpace.HarmonicAt.const_smul, CircleIntegrable.const_smul, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, Real.fourier_deriv, iteratedDeriv_scomp_three, hasDerivWithinAt_pi, Orientation.oangle_smul_left_of_neg, MDifferentiable.smul, norm_smul_inv_norm, deriv.star, derivWithin.scomp, DifferentiableOn.circleIntegral_sub_inv_smul, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto, ModularForm.prod_slash_sum_weights, Submodule.reflection_singleton_apply, smul_unitClosedBall_of_nonneg, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero, WeakFEPair.h_feq, differentiableAt_smul_iff, OnePoint.isBoundedAt_iff_forall_SL2Z, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', HasStrictFDerivAt.star, Submodule.reflection_apply, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, SchwartzMap.integral_fourierInv_smul_eq, Memℓp.star_mem, SlashInvariantForm.quotientFunc_smul, Besicovitch.SatelliteConfig.exists_normalized_aux2, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_integrableOn, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, HasFDerivAt.star, CStarMatrix.toCLM_injective, Complex.integral_circleTransform, iteratedDeriv_scomp_eq_sum_orderedFinpartition, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, hasDerivAt_iff_isLittleO, UniqueDiffWithinAt.smul, hasFPowerSeriesAt_const, EuclideanGeometry.angle_vadd_const, HasFPowerSeriesOnBall.const_smul, HasFDerivWithinAt.fun_const_smul, HasStrictFDerivAt.const_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, ProbabilityTheory.HasGaussianLaw.smul, OnePoint.isZeroAt_iff_exists_SL2Z, analyticOrderAt_smul_eq_top_of_left, EisensteinSeries.E2_slash_action, sameRay_iff_inv_norm_smul_eq_of_ne, norm_sum_lt_of_strictConvexSpace, UniformConvexOn.strictConvexOn, Orientation.oangle_sign_sub_smul_left, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge', MeasureTheory.SimpleFunc.integral_eq_sum_filter, fderivWithin_star, Differentiable.fun_const_smul, MeasureTheory.Measure.quasiMeasurePreserving_smul, HasFDerivAt.fun_smul, Function.HasTemperateGrowth.toTemperedDistribution_apply, HasLineDerivAt.tendsto_slope_zero_right, Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, Real.Angle.sign_two_nsmul_eq_neg_sign_iff, CuspForm.coeHom_apply, BoundedContinuousFunction.coe_toContinuousMapStarₐ, MeasureTheory.L1.setToL1_smul_left, CStarMatrix.norm_def', MeasureTheory.Integrable.smul_bdd, MeasureTheory.convolution_smul, MeasureTheory.MemLp.integrable_enorm_pow', EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, EisensteinSeries.G2_slash_action, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux, stereoInvFunAux_apply, StrongFEPair.functional_equation, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, HasFDerivAtFilter.isThetaTVS_sub, iteratedDeriv_smul_const, circleIntegral.integral_sub_inv_smul_sub_smul, SchwartzMap.fourier_lineDerivOp_eq, DifferentiableAt.smul, TemperedDistribution.instLineDerivLeftSMulReal, LindemannWeierstrass.exp_polynomial_approx, CStarMatrix.inner_toCLM_conjTranspose_left, EuclideanGeometry.inversion_vsub_center, MeasureTheory.Integrable.essSup_smul, MeasureTheory.pdf.integral_pdf_smul, ContMDiff.smul, hasLineDerivWithinAt_smul_iff, MDifferentiable.const_smul, MeasureTheory.condExpL2_indicator_ae_eq_smul, conformalAt_const_smul, DoubleCentralizer.norm_def, MeromorphicAt.fun_smul, MeasureTheory.Measure.integral_comp_inv_mul_left, curveIntegralFun_trans_aeeq_right, MeasureTheory.measure_smul_average, MDifferentiableOn.smul, Orientation.oangle_sign_sub_smul_right, Complex.integral_comp_polarCoord_symm, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_neg, HasFDerivAt.fun_const_smul, Orientation.oangle_smul_left_self_of_nonneg, curveIntegral_fun_smul, Differentiable.const_smul, taylor_tendsto, dslope_sub_smul, mellin_hasDerivAt_of_isBigO_rpow, deriv_fun_smul, MeasureTheory.convolution_lsmul, SlashInvariantForm.coe_translate, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, strongConcaveOn_zero, integral_withDensity_eq_integral_smul, intervalIntegral.integral_comp_add_div, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux1, cauchyPowerSeries_apply, Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_pi, DifferentiableAt.const_smul, MeasureTheory.MemLp.star, BoxIntegral.HasIntegral.smul, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, integral_smul_const, SameRay.inv_norm_smul_eq, hasFPowerSeriesOnBall_const, ContDiffMapSupportedIn.seminorm_le_iff, add_comm, MeasureTheory.Measure.integral_comp_smul_of_nonneg, DiffContOnCl.circleIntegral_sub_inv_smul, MeasureTheory.Integrable.of_mem_Icc_enorm, Function.HasTemperateGrowth.fun_smul, iteratedFDerivWithin_comp_add_left, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, iteratedDeriv_fun_const_smul, fderiv_smul, BoundedContinuousFunction.mem_charPoly, OrthonormalBasis.orthogonalProjection_apply_eq_sum, BoundedContinuousFunction.charAlgHom_apply, iteratedFDerivWithin_const_smul_apply, HasFDerivWithinAt.star, affinity_unitClosedBall, ContDiffMapSupportedIn.coe_smul, PadicInt.mahlerSeries_apply, AddCircle.ergodic_nsmul_add, MeasureTheory.integral_singleton', HasFDerivWithinAt.const_smul, DoubleCentralizer.nnnorm_def, norm_inner_eq_norm_iff, Real.circleAverage_eq_circleIntegral, Real.Angle.two_nsmul_eq_zero_iff, inner_eq_norm_mul_iff_div, MeasureTheory.setToFun_smul_left', MeasureTheory.integral_smul, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left', mellinInv_eq_fourierIntegralInv, ProbabilityTheory.strong_law_ae, ContDiffOn.const_smul, EuclideanGeometry.orthogonalProjection_apply', SmoothPartitionOfUnity.contDiffAt_finsum, ContMDiffAt.smul, strictConvex_closedBall, isBigO_rpow_top_log_smul, differentiableAt_star_iff, TestFunction.coe_smul, has_fderiv_at_filter_real_equiv, MeasureTheory.setIntegral_condExpInd, tendsto_integral_exp_smul_cocompact, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, MeasureTheory.integral_comp_rpow_Ioi_of_pos, TestFunction.postcompCLM_apply, AddCircle.exists_norm_nsmul_le, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, gelfandStarTransform_symm_apply, PadicInt.coe_addChar_of_value_at_one, HasFDerivWithinAt.fun_smul, PadicInt.mahlerSeries_apply_nat, intervalIntegral.integral_deriv_comp_smul_deriv', MeasureTheory.Submartingale.smul_nonneg, openSegment_subset_ball_of_ne, NormedSpace.normalize_smul, MeasureTheory.integrable_withDensity_iff_integrable_smul', MeasureTheory.MemLp.integrable_enorm_rpow', IsMIntegralCurveOn.comp_mul, HasDerivAt.star, isAddFundamentalDomain_Ioc, iteratedFDeriv_const_smul_apply, InnerProductGeometry.angle_eq_zero_iff, AnalyticAt.smul, hasLineDerivAt_smul_iff, VectorField.lieBracket_const_smul_left, mellinInv_eq_fourierInv, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, HasDerivAtFilter.const_smul, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, VectorFourier.fourierIntegral_const_smul, ContDiffAt.contDiffAt_norm_smul, Real.fourier_real_eq, Asymptotics.IsEquivalent.smul, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, hasSum_fourier_series_L2, Real.tendsto_integral_gaussian_smul', AddCircle.ergodic_add_left, Real.Angle.coe_coeHom, HilbertBasis.hasSum_orthogonalProjection, iteratedFDeriv_const_smul_apply', stereoInvFun_apply, analyticAt_smul, fderiv_pow, Real.fourierIntegral_convergent_iff', lp.singleAddMonoidHom_apply, MeasureTheory.integral_indicatorConstLp, HilbertBasis.hasSum_repr, HasFDerivAt.pow, MeasureTheory.Measure.integral_comp_smul, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, setIntegral_withDensity_eq_setIntegral_smul₀', MeasureTheory.condExpIndSMul_smul, MeasureTheory.Measure.hausdorffMeasure_smul₀, real_inner_div_norm_mul_norm_eq_one_iff, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', iteratedDeriv_const_smul, DiffContOnCl.deriv_eq_smul_circleIntegral, DifferentiableOn.deriv_eq_smul_circleIntegral, ContDiffMapSupportedIn.uniformSpace_eq_iInf, iteratedFDerivWithin_smul_const_apply, VectorField.mpullback_smul_apply, BoxIntegral.BoxAdditiveMap.volume_apply, ProbabilityTheory.HasGaussianLaw.fun_smul, TestFunction.coe_ofSupportedInCLM, MeasureTheory.Integrable.toL1_smul, lp.singleContinuousAddMonoidHom_apply, AddCircle.ergodic_add_right, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, Real.fourierIntegral_iteratedDeriv, intervalIntegral.smul_integral_comp_mul_sub, iteratedDerivWithin_smul_const, InnerProductSpace.exists_of_rankOne_eq_rankOne, MeasureTheory.VectorMeasure.isSigmaSubadditiveSetFun_enorm, MeasureTheory.Lp.coeFn_smul, ContDiffMapSupportedIn.structureMapCLM_zero_apply, ContDiffWithinAt.const_smul, MeasureTheory.SimpleFunc.integral_eq_sum, iteratedDerivWithin_const_smul_field, NormedSpace.normalize_smul_of_pos, intervalIntegral.integral_comp_smul_deriv'', WeakFEPair.Λ₀_eq, coe_ringEquiv_lpBCF, intervalIntegral.integral_comp_smul_deriv, compContinuousLinearMap_zero, HasLineDerivWithinAt.smul, FormalMultilinearSeries.apply_eq_pow_smul_coeff, MeasureTheory.setIntegral_condExpIndSMul, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, VectorField.lieBracketWithin_smul_left, VectorField.mlieBracketWithin_const_smul_left, MeasureTheory.indicatorConstLp_univ, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, OrthonormalBasis.equiv_apply, HasStrictDerivAt.smul, intervalIntegral.integral_comp_add_mul, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn_real, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, AnalyticAt.fun_smul, MeasureTheory.setIntegral_rnDeriv_smul, Monotone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, MeasureTheory.Lp.norm_const_le, DiffContOnCl.circleIntegral_one_div_sub_center_pow_smul, Matrix.exp_nsmul, HasDerivWithinAt.scomp_of_eq, MDifferentiableAt.const_smul, DiffContOnCl.const_smul, MeasureTheory.integral_image_eq_integral_abs_deriv_smul, VectorFourier.fourierIntegral_convergent_iff, integral_comp_polarCoord_symm, HasLineDerivAt.tendsto_slope_zero_left, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, DifferentiableOn.fun_const_smul, HasDerivAt.smul_const, contDiff_const_smul, WeakFEPair.h_feq', stereoToFun_apply, SchwartzMap.convolution_apply, dslope_sub_smul_of_ne, MeasureTheory.eLpNorm_star, fderivWithin_const_smul_of_field, ContDiffAt.const_smul, natCast_le_analyticOrderAt, VectorField.lieBracket_fmul_left, iteratedDerivWithin_fun_const_smul_field, affinity_unitBall, EisensteinSeries.D2_inv, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, SchwartzMap.fourierInv_apply_eq, HasDerivAt.tendsto_slope_zero_left, InnerProductSpace.laplacian_smul, MeasureTheory.setToFun_smul_left, derivWithin_fun_const_smul, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', MeasureTheory.L1.setToL1_smul_left', LinearMap.IsSymmetric.toSelfAdjoint_apply, MeasureTheory.Lp.constₗ_apply, Real.Angle.sin_two_nsmul, circleIntegral.norm_two_pi_i_inv_smul_integral_le_of_norm_le_const, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, Real.fourierIntegral_real_eq_integral_exp_smul, InnerProductSpace.laplacianWithin_smul, TestFunction.coe_ofSupportedInLM, Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, ContDiffWithinAt.smul, normedAddGroupHomCompletionHom_apply, iteratedFDerivWithin_comp_sub, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, fourierCoeff.const_smul, OnePoint.isZeroAt_iff_forall_SL2Z, setIntegral_withDensity_eq_setIntegral_toReal_smul₀', hasSum_cauchyPowerSeries_integral, differentiableWithinAt_comp_sub, MeasureTheory.Lp.instFourierSMul, MeasureTheory.integral_fintype, strictConvexSpace_iff, intervalIntegral.smul_integral_comp_sub_mul, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, MeasureTheory.Lp.norm_const', SchwartzMap.coeHom_injective, MeasureTheory.integrable_enorm_iff, Orientation.inner_rotation_pi_div_two_left_smul, smul_sphere, OnePoint.isBoundedAt_iff, HasStrictDerivAt.scomp_of_eq, fourierIntegral_eq_half_sub_half_period_translate, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2, fderiv_const_smul_of_invertible, meromorphicOrderAt_eq_int_iff, EuclideanGeometry.orthogonalProjection_vadd_eq_self, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, hasStrictDerivAt_finCons', hasDerivWithinAt_taylorWithinEval_at_Icc, Real.Angle.two_nsmul_eq_iff_eq_of_abs_toReal_lt_pi_div_two, HasFPowerSeriesWithinAt.pi, hasStrictDerivAt_finCons, intervalIntegral.integral_deriv_comp_smul_deriv, MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smul, rescale_to_shell, intervalIntegral.integral_smul_measure, signedDist_smul_of_pos, OnePoint.IsZeroAt.smul_iff, HasDerivAtFilter.star, MeasureTheory.MemLp.integrable_enorm_pow, HasDerivAtFilter.scomp, AnalyticOn.const_smul, Submodule.smul_starProjection_singleton, contMDiff_smul, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_smul, fderivWithin_smul, aestronglyMeasurable_smul_const_iff, differentiableAt_complex_iff_differentiableAt_real, intervalIntegral.inv_smul_integral_comp_sub_div, hasDerivWithinAt_taylor_coeff_within, UniformConvexOn.convexOn, AnalyticOn.smul, Complex.two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable, MeasureTheory.charFun_conv, CStarMatrix.toCLM_apply_single, hasSum_two_pi_I_cauchyPowerSeries_integral, differentiableWithinAt_star_iff, fderivWithin_comp_smul_eq_fderivWithin_smul, signedDist_vadd_left_swap, MeasureTheory.condExp_smul, HasFDerivWithinAt.norm_sq, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, EuclideanGeometry.reflection_apply_of_mem, iteratedDerivWithin_scomp_three, HasFDerivWithinAt.smul_const, MeasureTheory.LocallyIntegrableOn.smul_continuousOn, SchwartzMap.fourierInv_lineDerivOp_eq, VectorFourier.integral_fourierIntegral_swap, curveIntegralFun_trans_of_half_lt, IsOpen.smul_sphere, EuclideanGeometry.Sphere.secondInter_smul, strongConcaveOn_iff_convex, MeasureTheory.condExpIndL1_smul, Fourier.fourierIntegral_const_smul, hasDerivAtFilter_iff_isLittleO, HasDerivAt.fun_const_smul, CStarMatrix.toCLM_apply_eq_sum, Meromorphic.fun_smul, MeasureTheory.Measure.NullMeasurableSet.const_smul, MDifferentiable.slash, MeasureTheory.eLpNormEssSup_smul_measure, ContDiffMapSupportedIn.locallyConvexSpace, hasFDerivWithinAt_comp_smul_smul_iff, ContMDiffWithinAt.smul, iteratedDeriv_comp_const_smul, norm_inner_eq_norm_tfae, Real.circleAverage_def, iteratedDeriv_vcomp_three, intervalIntegral.integral_smul, CuspForm.coe_translate, fderivWithin_fun_pow, HasDerivAt.const_smul, signedDist_vadd_right, UniqueDiffWithinAt.smul_iff, deriv.scomp, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAtFilter.const_smul, MemHolder.smul, PMF.integral_eq_tsum, DiffContOnCl.circleAverage_smul_div, lp.ext_continuousAddMonoidHom_iff, intervalIntegral.integral_comp_div, AddCircle.ergodic_nsmul, Orientation.oangle_sign_smul_left, HasDerivAtFilter.scomp_of_eq, MeasureTheory.Integrable.bdd_smul, HasDerivAt.scomp_hasDerivWithinAt_of_eq, MeasureTheory.setAverage_eq, ZSpan.isAddFundamentalDomain', EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, HasFDerivWithinAt.mapsTo_tangent_cone, InnerProductSpace.gramSchmidtOrthonormalBasis_apply_of_orthogonal, homeomorphUnitSphereProd_symm_apply_coe, taylorWithinEval_succ, StrictConvexSpace.strictConvex_closedBall, Real.fourier_eq, Orientation.oangle_sign_smul_add_smul_smul_add_smul, MeasureTheory.Measure.integral_comp_mul_left, AnalyticAt.analyticOrderNatAt_eq_iff, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, HasFDerivAtFilter.fun_const_smul, MeasureTheory.IntegrableAtFilter.enorm, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, RCLike.norm_nsmul, DifferentiableAt.fun_const_smul, Orientation.oangle_sign_smul_sub_left, MeasureTheory.memL1_smul_of_L1_withDensity, analyticAt_iff_analytic_fun_smul, MeasureTheory.Measure.toSphere_apply', iteratedDeriv_comp_neg, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, DiffContOnCl.smul_const, MeasureTheory.condExpIndL1_smul', tendsto_integral_exp_smul_cocompact_of_inner_product, contDiff_smul_const, MeasureTheory.integral_biUnion_eq_sum_powerset, CStarMatrix.toCLM_apply, HasDerivWithinAt.fun_const_smul, Antitone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, EisensteinSeries.isBoundedAtImInfty_eisensteinSeries_SIF, differentiableAt_norm_smul, circleIntegral.integral_smul, Real.circleAverage_eq_integral_add, MeasureTheory.integrable_enorm_rpow_iff, intervalIntegral.inv_smul_integral_comp_div_sub, ContDiff.smul_const, iteratedFDerivWithin_comp_add_right, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDeriv_right, DoubleCentralizer.instIsCentralScalar, meromorphicOrderAt_smul, hasFDerivAt_pow, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', Real.Angle.sign_two_nsmul_eq_sign_iff, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, ModularForm.coeHom_apply, deriv_smul, VectorField.mpullbackWithin_smul_apply, ModularForm.slash_action_eq'_iff, Real.fourier_iteratedDeriv, MeasureTheory.Integrable.smul_of_top_left, MeasureTheory.integral_comp_rpow_Ioi, hasDerivAt_iff_tendsto_slope_zero, WeakFEPair.hf_zero, hasFiniteFPowerSeriesAt_const, MeasureTheory.Integrable.toL1_smul', Orientation.oangle_sub_right_smul_rotation_pi_div_two, MeasureTheory.LocallyIntegrable.integrable_smul_left_of_hasCompactSupport, VectorFourier.fourierSMulRight_apply, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, StrongConcaveOn.strictConcaveOn, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, NormedSpace.normalize_smul_of_neg, derivWithin_comp_mul_left, derivWithin_fun_smul, MeasureTheory.integral_fun_norm_addHaar, MeasureTheory.setIntegral_ge_of_const_le, HasDerivWithinAt.scomp_hasDerivAt_of_eq, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, UnitAddTorus.hasSum_mFourier_series_L2, MeasureTheory.Lp.norm_const, MeasureTheory.lpNorm_nsmul, ZSpan.exist_unique_vadd_mem_fundamentalDomain, sum_mem_ball_of_strictConvexSpace, iteratedDerivWithin_const_smul, HasStrictDerivAt.smul_const, MeasureTheory.average_union_mem_segment, PadicInt.continuous_addChar_of_value_at_one, DifferentiableWithinAt.smul_const, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, BoxIntegral.BoxAdditiveMap.toSMul_apply, CStarMatrix.mul_entry_mul_eq_inner_toCLM, homeomorphSphereProd_symm_apply_coe, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, HasFDerivAt.smul_const, MeasureTheory.integrable_tilted_iff, Real.Angle.two_nsmul_toReal_eq_two_mul_add_two_pi, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one, differentiableWithinAt_comp_add_right, mellin_eq_fourierIntegral, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, fderivWithin_const_smul_of_invertible, Real.fourierIntegral_eq', Real.circleAverage_fun_smul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', intervalIntegral.integral_comp_smul_deriv', EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Complex.hasSum_taylorSeries_on_emetric_ball, MeasureTheory.integrable_withDensity_iff_integrable_smul, HasFDerivAtFilter.star, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, hasFPowerSeriesOn_cauchy_integral, EuclideanGeometry.inversion_def, iteratedDeriv_fun_const_smul_field, Complex.circleIntegral_sub_center_inv_smul_eq_of_differentiable_on_annulus_off_countable, intervalIntegral.integral_comp_sub_mul, OrthonormalBasis.sum_repr_symm, homeomorphUnitSphereProd_apply_fst_coe, Real.Angle.two_nsmul_eq_pi_iff, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, NormedSpace.exp_nsmul, Orientation.inner_smul_rotation_pi_div_two_right, Valued.integer.coe_span_singleton_eq_closedBall, UniformConcaveOn.concaveOn, constFormalMultilinearSeries_apply_of_nonzero, Real.circleAverage_smul, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, VectorField.lieBracket_const_smul_right, MeasureTheory.uniformIntegrable_average, MDifferentiableAt.smul, UpperHalfPlane.petersson_slash_SL, HasStrictDerivAt.const_smul, MeasureTheory.setIntegral_rnDeriv_smul', intervalIntegral.smul_integral_comp_mul_left, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, uniformConcaveOn_zero, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, InnerProductGeometry.angle_smul_smul, MeasureTheory.Lp.simpleFunc.toLp_zero, ModularForm.SL_slash_def, CFC.log_pow', ModelWithCorners.convex_range, ContDiffMapSupportedIn.postcompCLM_apply, DoubleCentralizer.coeHom_apply, eHolderNorm_nsmul, ContDiffBump.integral_normed_smul, Orientation.oangle_sign_smul_right, SmoothBumpFunction.contMDiff_smul, HasFPowerSeriesOnBall.factorial_smul, HasFDerivAt.const_smul, ContMDiffMap.coe_smul, Memℓp.star_iff, sameRay_iff_inv_norm_smul_eq, BoxIntegral.integral_smul, hasFPowerSeriesAt_pi_iff, MeasureTheory.eLpNorm'_const_smul, ProbabilityTheory.integral_tilted_mul_eq_mgf, MeasureTheory.integral_simpleFunc_larger_space, MeasureTheory.IsAddFundamentalDomain.measure_eq_card_smul_of_vadd_ae_eq_self, ContDiffBump.apply, Orientation.oangle_sign_add_smul_left, HasFDerivAt.lim_real, StrictConvex.linearIsometry_preimage, analyticAt_iff_analytic_smul, UniformConcaveOn.strictConcaveOn, coe_addEquiv_lpBCF_symm, intervalIntegral.integral_const_of_cdf, DifferentiableWithinAt.const_smul, intervalIntegral.integral_const', Complex.differentiable_on_off_countable_deriv_eq_smul_circleIntegral, intervalIntegral.integral_smul_deriv_eq_deriv_smul, HasStrictDerivAt.scomp, Orientation.oangle_sub_left_smul_rotation_pi_div_two, tangentConeAt_real_subset_isRCLikeNormedField, ContDiffMapSupportedIn.norm_apply_le_seminorm, integral_withDensity_eq_integral_toReal_smul, ZLattice.covolume.tendsto_card_div_pow', OnePoint.IsBoundedAt.smul_iff, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, hasDerivAtFilter_iff_tendsto, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_measure_nhdsWithin_pos, InnerProductSpace.HarmonicOnNhd.const_smul, MeasureTheory.setIntegral_indicatorConstLp, ContDiff.smul, ProbabilityTheory.isGaussian_conv, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, MeasureTheory.tendsto_integral_smul_of_tendsto_average_norm_sub, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_pos, MeasureTheory.convolution_lsmul_swap, Orientation.oangle_add_right_smul_rotation_pi_div_two, Orientation.inner_smul_rotation_pi_div_two_left, hasDerivAtFilter_finCons', MeasureTheory.Supermartingale.smul_nonpos, setIntegral_withDensity_eq_setIntegral_smul, MeromorphicAt.meromorphicTrailingCoeffAt_smul, fderiv_smul_const, hasDerivWithinAt_finCons', mellin_comp_rpow, MeasureTheory.Submartingale.sum_smul_sub', intervalIntegral.smul_integral_comp_mul_add, FormalMultilinearSeries.apply_eq_prod_smul_coeff, DifferentiableWithinAt.fun_smul, HasDerivWithinAt.scomp, hasFPowerSeriesWithinAt_pi_iff, CircleIntegrable.const_fun_smul, MeasureTheory.eLpNorm_const_smul, hasDerivWithinAt_comp_mul_left_smul_iff, hasDerivAt_iff_isLittleO_nhds_zero, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, iteratedFDeriv_smul_const_apply, HasStrictDerivAt.fun_const_smul, MeasureTheory.Measure.addHaar_smul_of_nonneg, MeasureTheory.Lp.instIsBoundedSMul, Orientation.oangle_smul_right_of_neg, Real.fourierIntegral_convergent_iff, MeasureTheory.integral_rnDeriv_smul, fourierCoeff_eq_intervalIntegral, CStarAlgebra.conjugate_le_norm_smul', ContDiffAt.smul_const, AnalyticAt.exists_eq_sum_add_pow_mul, iteratedDerivWithin_comp_const_smul, Complex.taylorSeries_eq_on_eball, MeasureTheory.Measure.map_addHaar_smul, InnerProductSpace.gramSchmidt_def'', PMF.integral_eq_sum, MeasureTheory.average_add_measure, intervalIntegral.inv_smul_integral_comp_div, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, ContinuousMultilinearMap.changeOriginSeries_support, WeakFEPair.functional_equation₀, Real.tendsto_integral_cexp_sq_smul, ContDiffMapSupportedIn.seminorm_apply, MemHolder.nnHolderNorm_nsmul, aemeasurable_withDensity_iff, derivWithin_const_smul, signedDist_smul_of_neg, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, circleAverage_sub_sub_inv_smul_of_differentiable_on, Real.Angle.coe_nsmul, SchwartzMap.convolution_continuous_left, DifferentiableAt.fun_smul, circleIntegral.integral_smul_const, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, fderiv_norm_smul, isMIntegralCurveAt_comp_mul_ne_zero, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, HasFDerivAt.hasFDerivAt_norm_smul, VectorField.mlieBracket_const_smul_left, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, Complex.wedgeIntegral_add_wedgeIntegral_eq, IsMIntegralCurve.comp_mul, HasFPowerSeriesOnBall.pi, ContinuousMultilinearMap.piₗᵢ_symm_apply, HasDerivAt.scomp, AnalyticAt.analyticOrderAt_ne_top, signedDist_vadd_right_swap, iteratedDerivWithin_fun_const_smul, Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable, LinearMap.IsSymmetric.apply_eigenvectorBasis, AnalyticAt.const_smul, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitone, coe_addEquiv_lpBCF, hasLineDerivAt_iff_tendsto_slope_zero, ProbabilityTheory.strong_law_Lp, fderivWithin_const_smul_field, deriv_fun_const_smul, Real.Angle.natCast_mul_eq_nsmul, MeasureTheory.integral_const, HasDerivWithinAt.smul_const, CStarAlgebra.star_left_conjugate_le_norm_smul, DifferentiableOn.smul, Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable_of_tendsto, SchwartzMap.lineDerivOp_fourierInv_eq, iteratedDeriv_comp_const_sub, hasFDerivWithinAt_comp_add_right, Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two, Real.Angle.zsmul_eq_iff, Real.fourier_bilin_convolution_eq_integral, MemHolder.nnHolderNorm_smul, MeasureTheory.Integrable.integral_smul, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, meromorphicOrderAt_smul_of_ne_zero, BoxIntegral.integralSum_smul, MeasureTheory.Integrable.enorm, Real.tendsto_integral_exp_smul_cocompact, mellin_convergent_iff_norm, MeasureTheory.setIntegral_tilted', HasDerivWithinAt.smul, ContinuousOn.integral_sub_linear_isLittleO_ae, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.integral_smul, iteratedDerivWithin_smul, DomAddAct.vadd_Lp_const, Orientation.oangle_smul_smul_self_of_nonneg, MeromorphicNFAt.smul_analytic, Function.HasTemperateGrowth.smul, rescale_to_shell_zpow, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, integrableOn_peak_smul_of_integrableOn_of_tendsto, ModelWithCorners.convex_range', SchwartzMap.coe_coeHom, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, signedDist_vadd_left, ContDiffBump.convolution_eq_right, MeasureTheory.AEEqFun.Integrable.smul, ExistsContDiffBumpBase.w_def, HasDerivWithinAt.const_smul, MeasureTheory.Measure.setIntegral_comp_smul, ContDiffOn.smul, WeakFEPair.hf_modif_FE, deriv_smul_const, DifferentiableAt.star_star, DiffContOnCl.two_pi_i_inv_smul_circleIntegral_sub_inv_smul, fourierIntegral_half_period_translate, iteratedFDerivWithin_comp_add_left', MeasureTheory.withDensitySMulLI_apply, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.Measure.addHaar_nnreal_smul, Complex.taylorSeries_eq_on_emetric_ball, dist_div_norm_sq_smul, torusIntegral_smul, VectorField.mpullback_smul, HasStrictFDerivAt.fun_const_smul, fderivWithin_const_smul, HasDerivWithinAt.star, MeromorphicOn.extract_zeros_poles, ProbabilityTheory.IsGaussianProcess.smul, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, SchwartzMap.instFourierSMul, Orientation.two_zsmul_oangle_smul_right_self, SchwartzMap.fourierTransformCLM_apply, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, SlashInvariantForm.slash_S_apply, enorm_tsum_le_tsum_enorm, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, MeasureTheory.Lp.constL_apply, SchwartzMap.fderivCLM_fourier_eq, CStarModule.inner_mul_inner_swap_le, mellin_const_smul, Real.Angle.two_nsmul_coe_div_two, NormedSpace.exp_smul, MeasureTheory.integral_fun_fst, SmoothPartitionOfUnity.contMDiff_finsum_smul, MeasureTheory.pdf.integrable_pdf_smul_iff, HasDerivWithinAt.scomp_hasDerivAt, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, VectorField.lieBracketWithin_smul_right, fderiv_fun_const_smul, deriv_comp_mul_left, hasDerivAtFilter_finCons, contDiff_smul, meromorphicNFAt_smul_iff_right_of_analyticAt, ZLattice.isAddFundamentalDomain, MeromorphicOn.smul, Complex.taylorSeries_eq_on_ball, CStarAlgebra.conjugate_le_norm_smul, norm_midpoint_lt_iff, MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', measurable_smul_const, WeakFEPair.functional_equation, MeasureTheory.Submartingale.sum_smul_sub, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, BoundedContinuousFunction.coe_toContinuousMapₐ, ContDiffMapSupportedIn.structureMapLM_zero_injective, MeromorphicOn.divisor_smul, IsSelfAdjoint.linearly_dependent_of_isLocalExtrOn, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.integral_countable, HasStrictFDerivAt.fun_smul, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, EuclideanGeometry.reflection_apply', ContDiffWithinAt.smul_const, BoxIntegral.Integrable.smul, isMIntegralCurveOn_comp_mul_ne_zero, tendsto_integral_comp_smul_smul_of_integrable, DifferentiableAt.star, HasDerivAt.scomp_of_eq, MeasureTheory.IsFundamentalDomain.measure_eq_card_smul_of_smul_ae_eq_self, HasFPowerSeriesAt.pi, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, IntervalIntegrable.continuousOn_smul, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, VectorFourier.fourierPowSMulRight_apply, HasFDerivWithinAt.smul, inner_eq_norm_mul_iff_real, MeasureTheory.Submartingale.smul_nonpos, MeasureTheory.Lp.simpleFunc.toLp_smul, SchwartzMap.convolution_flip, Filter.Tendsto.integral_sub_linear_isLittleO_ae, Complex.isometryOfOrthonormal_apply, intervalIntegral.smul_integral_comp_mul_right, Irreducible.maximalIdeal_eq_closedBall, intervalIntegral.integral_comp_div_add, CFC.log_pow, intervalIntegral.integral_smul_const, InnerProductSpace.laplacianWithin_smul_nhds, HasDerivAtFilter.isEquivalent_sub, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, SchwartzMap.integral_fourier_smul_eq, Real.dimH_segment, Complex.circleIntegral_one_div_sub_center_pow_smul_of_differentiable_on_off_countable, enorm_sum_le, ContDiffAt.fun_smul, HasFDerivAt.hasFDerivAt_norm_smul_neg, fourierSubalgebra_closure_eq_top, ModularForm.prod_fintype_slash, derivWithin_comp_add_const, derivWithin.star, BoundedContinuousFunction.toContinuousMapₐ_apply, curveIntegralFun_trans_aeeq_left, fderivWithin_smul_const, ContDiffMapSupportedIn.withSeminorms, AnalyticOn.fun_const_smul, MeasureTheory.withDensityᵥ_smul, MeasureTheory.MemLp.toLp_add, fderiv_star, MeasureTheory.integrable_comp_smul_iff, derivWithin_fun_const_smul', ProbabilityTheory.setIntegral_tilted_mul_eq_cgf, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, iteratedDeriv_const_smul_field, IsMIntegralCurveAt.comp_mul_ne_zero, HasDerivAt.tendsto_slope_zero, hasDerivAtFilter_pi, stereographic_apply, Orientation.rotation_apply, OrthonormalBasis.sum_repr, TestFunction.instLocallyConvexSpaceReal, ModularFormClass.bdd_at_infty_slash, InnerProductSpaceable.innerProp, MeasureTheory.withDensityᵥ_rnDeriv_smul, differentiableWithinAt_smul_iff, StrongConvexOn.strictConvexOn, DifferentiableOn.const_smul, MeasureTheory.integral_indicator_const, ModularForm.slash_def, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, lineDeriv_smul, MeasureTheory.integrable_rnDeriv_smul_iff, ProbabilityTheory.strong_law_ae_simpleFunc_comp, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one_aux, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, ENormedAddCommMonoid.enorm_eq_zero, Real.tendsto_integral_gaussian_smul, IntervalIntegrable.integral_smul, CuspFormClass.zero_at_infty_slash, ContDiffMapSupportedIn.coe_coeHom, VectorFourier.fourierIntegral_comp_add_right, ContDiffMapSupportedIn.postcompLM_apply, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, analyticOrderAt_smul, MeasureTheory.withDensityᵥ_smul', ModularForm.is_invariant_one', Filter.Tendsto.cesaro_smul, deriv_fun_const_smul_field, tendsto_integral_exp_inner_smul_cocompact, SchwartzMap.integral_smul_laplacian_right_eq_left, OrthonormalBasis.coe_equiv_euclideanSpace, VectorFourier.fourierIntegral_probChar, Orientation.two_zsmul_oangle_smul_left_self, Complex.arg_pow_coe_angle, Fourier.fourierIntegral_def, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, Unitization.norm_splitMul_snd_sq, fourierCoeffOn_eq_integral, MeasureTheory.SimpleFunc.integral_const, Orientation.oangle_sign_smul_add_smul_right, Real.Angle.nsmul_toReal_eq_mul, deriv_const_smul', PadicInt.continuousAddCharEquiv_symm_apply, intervalIntegral.integral_comp_mul_right, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, MeasureTheory.LocallyIntegrableOn.enorm, EuclideanGeometry.dist_smul_vadd_eq_dist, MeasureTheory.integral_singleton, intervalIntegral.integral_comp_div_sub, coe_ringEquiv_lpBCF_symm, DifferentiableAt.smul_const, WeakFEPair.f_modif_aux1, ContDiffMapSupportedIn.continuous_iff_comp, DifferentiableOn.star, enorm_multisetSum_le, NormedSpace.norm_smul_normalize, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, MeasureTheory.Integrable.smul_prod, homeomorphSphereProd_apply_fst_coe, HasDerivAt.scomp_hasDerivWithinAt, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_apply_apply, strongConvexOn_iff_convex, strongConvexOn_zero, SchwartzMap.fourier_fderivCLM_eq, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, SchwartzMap.fourier_convolution_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, ContDiffAt.smul, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, MeasureTheory.SimpleFunc.integral_smul, Irreducible.maximalIdeal_pow_eq_closedBall_pow, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, ContinuousMap.elemental_id_eq_top, InnerProductSpace.laplacian_smul_nhds, ModularForm.is_invariant_const, fderiv_norm_smul_pos, FormalMultilinearSeries.le_radius_pi, WithLp.unitization_mul, DoubleCentralizer.instStarModule, differentiable_star_iff, CStarAlgebra.star_right_conjugate_le_norm_smul, iteratedDerivWithin_scomp_two, TestFunction.instContinuousSMulReal, MeasureTheory.integral_comp_mul_left_Ioi, ModularForm.SL_slash_apply, MeasureTheory.SimpleFunc.map_integral, MeasureTheory.Integrable.toL1_add, MeasureTheory.measure_smul_setAverage, MeasureTheory.Integrable.comp_smul, ZSpan.vadd_mem_fundamentalDomain, DomMulAct.smul_Lp_const, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, MeasureTheory.Integrable.fourier_smul, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, differentiableWithinAt_comp_add_left, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, intervalIntegral.integral_comp_mul_add, FormalMultilinearSeries.radius_pi_le, VectorFourier.integral_fourierIntegral_smul_eq_flip, Orientation.inner_smul_rotation_pi_div_two_smul_left, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, HasStrictFDerivAt.smul_const, SchwartzMap.coe_apply, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, sub_smul_dslope, MeasureTheory.condExp_bot', Orientation.oangle_smul_right_of_pos, norm_iteratedFDeriv_smul_le, abs_real_inner_div_norm_mul_norm_eq_one_iff, HasFDerivAt.hasFDerivAt_norm_smul_pos, MeasureTheory.Integrable.smul_const, Complex.integral_boundary_rect_eq_zero_of_continuousOn_of_differentiableOn, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MeasureTheory.integral_finset, Orientation.inner_smul_rotation_pi_div_two_smul_right, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, fderivWithin_pow, EuclideanGeometry.orthogonalProjection_apply, fderivWithin_fun_const_smul, Real.Angle.two_nsmul_neg_pi_div_two, UpperHalfPlane.IsZeroAtImInfty.slash, hasStrictFDerivAt_pow, FormalMultilinearSeries.derivSeries_apply_diag, derivWithin_comp_const_add, fderiv_comp_smul, lp.star_apply, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn, MeasureTheory.MemLp.integrable_enorm_rpow, VectorField.lieBracketWithin_const_smul_right, ProbabilityTheory.strong_law_ae_of_measurable, InnerProductGeometry.angle_eq_pi_iff, Complex.two_pi_I_inv_smul_circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, curveIntegralFun_trans_of_lt_half, fourierCoeffOn.const_smul, Real.fourierInv_eq, mulInvariantVectorField_smul, ModularForm.coe_translate, HasFPowerSeriesWithinOnBall.pi, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, MeasureTheory.condExpIndSMul_ae_eq_smul, DifferentiableOn.circleIntegral_one_div_sub_center_pow_smul, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, SmoothPartitionOfUnity.contMDiff_smul, hasFDerivWithinAt_pow, coe_algEquiv_lpBCF_symm, interval_average_eq, RCLike.nnnorm_nsmul, SchwartzMap.instFourierInvSMul, differentiableWithinAt_complex_iff_differentiableWithinAt_real, TorusIntegrable.function_integrable, MeasureTheory.Supermartingale.smul_nonneg, MeasureTheory.condExpIndSMul_smul', MDifferentiableWithinAt.smul, VectorField.lieBracket_smul_right, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, Real.Angle.two_nsmul_coe_pi, smul_closedBall, ContMDiffOn.smul, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, MeasureTheory.IntegrableOn.continuousOn_smul_of_subset, intervalIntegral.integral_unitInterval_deriv_eq_sub, integral_withDensity_eq_integral_smul₀, AnalyticOnNhd.fun_const_smul, MeasureTheory.integral_prod_smul, iteratedFDerivWithin_comp_sub', MeasureTheory.integrableOn_Ioi_comp_rpow_iff, Orientation.oangle_smul_right_self_of_nonneg, hasDerivAt_pi, SlashInvariantForm.coeHom_injective, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, MeasureTheory.integrable_fun_norm_addHaar, hasDerivWithinAt_finCons, EisensteinSeries.eisensteinSeries_slash_apply, HasDerivAt.smul, Meromorphic.smul, Orientation.oangle_sign_smul_add_smul_left, tendsto_integral_comp_smul_smul_of_integrable', AddCircle.toCircle_nsmul, MeasureTheory.average_union_mem_openSegment, TestFunction.coeFnAddMonoidHom_apply, fderivWithin_comp_add_right, Real.fourierInv_eq', Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', MellinConvergent.cpow_smul, ContDiffOn.fun_smul, Real.fourierIntegral_deriv, MeasureTheory.AEEqFun.eLpNorm_star, MeasureTheory.integral_fun_snd, ZLattice.covolume.tendsto_card_div_pow'', MeasureTheory.condExpL1CLM_smul, MeromorphicAt.smul, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, MeasureTheory.LocallyIntegrableOn.continuousOn_smul, Real.fourierIntegral_real_eq, fderiv_const_smul_of_field, HasLineDerivAt.smul, OrthonormalBasis.sum_repr', ContDiffMapSupportedIn.structureMapLM_zero_apply, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, MeasureTheory.average_union, deriv.star', SmoothBumpCovering.embeddingPiTangent_coe, analyticOrderAt_smul_eq_top_of_right, circleAverage_sub_sub_inv_smul_of_differentiable_on_off_countable, AnalyticOnNhd.const_smul, SchwartzMap.integral_smul_deriv_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left', intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Orientation.two_zsmul_oangle_smul_smul_self, SchwartzMap.fourier_convolution, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_continuousOn, OnePoint.isZeroAt_iff, PadicInt.instIsAddTorsionFree, SmoothPartitionOfUnity.IsSubordinate.contMDiff_finsum_smul, fderivWithin_comp_smul, Orientation.rotation_symm_apply, WeakFEPair.f_modif_aux2, HasFDerivAt.star_star, eHolderNorm_smul, mellin_cpow_smul, Differentiable.smul_const, MeasureTheory.condExpIndL1Fin_smul', SlashInvariantFormClass.slash_action_eq, fderivWithin_pow_ring, fderiv_const_smul, constFormalMultilinearSeries_apply_succ, ProbabilityTheory.Kernel.integral_withDensity, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, Orientation.oangle_sign_smul_sub_right, DoubleCentralizer.toProdHom_apply, SlashInvariantForm.slash_action_eqn, WeakFEPair.Λ_residue_zero, constFormalMultilinearSeries_zero, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, Real.fourierIntegralInv_eq, HasStrictFDerivAt.continuousMultilinearMap_apply, taylor_within_apply, MeasureTheory.Lp.const_val, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, derivWithin_smul_const, MeasureTheory.eLpNorm_sum_le, MeasureTheory.integral_smul_measure, isMIntegralCurve_comp_mul_ne_zero, ConformalAt.const_smul, FormalMultilinearSeries.constFormalMultilinearSeries_radius, ContDiffMapSupportedIn.coeHom_injective, Differentiable.smul, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, hasFPowerSeriesAt_iff', Real.fourier_eq', MeasureTheory.continuous_L1_toL1, hasMellin_const_smul, deriv_const_smul_field, WeakFEPair.Λ_residue_k, ContDiff.fun_smul, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, Fourier.fourierIntegral_comp_add_right, MeasureTheory.MemLp.toLp_const_smul, coe_algEquiv_lpBCF, Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, MeasureTheory.IntegrableOn.smul_continuousOn_of_subset, integral_comp_pi_polarCoord_symm, Differentiable.star, ModularForm.is_invariant_one, MeasureTheory.Lp.coeFn_star, sameRay_iff_norm_smul_eq, fderivWithin_comp_sub, DifferentiableWithinAt.smul, ContDiffMapSupportedIn.structureMapLM_apply, derivWithin_const_smul', EuclideanGeometry.reflection_apply, ContDiff.const_smul, Real.fourier_smul_convolution_eq, LeftInvariantDerivation.coeFnAddMonoidHom_apply, MeasureTheory.Lp.simpleFunc.toLp_add, hasDerivWithinAt_iff_tendsto, EisensteinSeries.D2_mul, MeasureTheory.integral_countable', isBigO_rpow_zero_log_smul, HasDerivAt.star_conj, hasDerivAt_finCons, HasFDerivAt.smul, CStarAlgebra.exists_sum_four_nonneg, Real.Angle.two_nsmul_eq_iff, MemHolder.smul_iff, hasFPowerSeriesAt_iff, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_le, fderiv_norm_sq_apply, RightDerivMeasurableAux.le_of_mem_A, aestronglyMeasurable_withDensity_iff, Affine.Simplex.points_vsub_eulerPoint, InnerProductGeometry.angle_smul_left_of_pos, UpperHalfPlane.IsBoundedAtImInfty.slash, Real.Angle.two_nsmul_toReal_eq_two_mul, MeasureTheory.Measure.integral_comp_div, intervalIntegral.integral_const, const_smul_mfderiv, fderiv_norm_sq, HasMFDerivAt.const_smul, MeasureTheory.condExp_bot_ae_eq, deriv_fun_const_smul', ContDiffMapSupportedIn.structureMapLM_eq, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Orientation.oangle_smul_left_of_pos, HilbertBasis.hasSum_repr_symm, CStarMatrix.norm_def, DifferentiableWithinAt.star, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', hasFDerivWithinAt_comp_add_left, ModularForm.SL_smul_slash, MeasureTheory.Integrable.smul_of_top_right, HasDerivAt.tendsto_slope_zero_right, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, uniformConvexOn_zero, VectorField.lieBracketWithin_const_smul_left, mellin_comp_mul_left, DifferentiableOn.fun_smul, BoundedContinuousFunction.char_mem_charPoly, HasStrictFDerivAt.smul, signedDist_vadd_vadd, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, intervalIntegral.inv_smul_integral_comp_add_div, Real.Angle.nsmul_eq_iff, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, CStarMatrix.inner_toCLM_conjTranspose_right, HasDerivAtFilter.fun_const_smul, EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF, AnalyticWithinAt.smul, iteratedDerivWithin_vcomp_three, mellin_comp_mul_right, fderiv_eq_smul_deriv, CStarMatrix.toCLM_apply_single_apply, EuclideanGeometry.angle_const_vadd, MeasureTheory.eLpNorm_nsmul, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge, HasStrictDerivAt.fun_smul, ModularForm.slash_apply, MeasureTheory.average_eq, PadicInt.addChar_of_value_at_one_def, MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOn, MeasureTheory.MemLp.toLp_const, intervalIntegral.smul_integral_comp_add_mul, HasFDerivAt.continuousMultilinearMap_apply, Complex.hasSum_taylorSeries_on_eball, MeasureTheory.Measure.integral_comp_inv_mul_right, Besicovitch.SatelliteConfig.exists_normalized_aux3, MeasureTheory.charFunDual_conv, VectorField.mlieBracket_const_smul_right, EisensteinSeries.G2_T_transform, norm_inner_div_norm_mul_norm_eq_one_iff, HasStrictDerivAt.star, ProbabilityTheory.integral_tilted_mul_eq_cgf, MeasureTheory.Measure.addHaar_smul, UpperHalfPlane.petersson_slash, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne bridge: BoxIntegral.hasIntegralIndicatorConst

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
add_comm 📖	mathematical	—	AddSemigroup.toAdd AddMonoid.toAddSemigroup ESeminormedAddMonoid.toAddMonoid toESeminormedAddMonoid	—	—

ESeminormedAddMonoid

Definitions

Name	Category	Theorems
toAddMonoid 📖	CompOp	1452 math, 1 bridge math: AnalyticWithinAt.const_smul, MeasureTheory.Measure.integral_comp_inv_smul, iteratedDeriv_scomp_two, ContinuousLinearMap.rayleigh_smul, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, MemHolder.nsmul, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Orientation.oangle_sign_smul_add_right, DiffContOnCl.smul, MeasureTheory.setIntegral_tilted, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, ModularForm.mul_slash_SL2, EuclideanGeometry.dist_smul_vadd_sq, real_inner_div_norm_mul_norm_eq_neg_one_iff, ModularForm.smul_slash, MeasureTheory.condExpL1_smul, HasFDerivWithinAt.continuousMultilinearMap_apply, OrthonormalBasis.orthogonalProjection_eq_sum, MeasureTheory.Martingale.smul, mellin_eq_fourier, SchwartzMap.instLineDerivLeftSMulReal, CStarRing.norm_unitary_smul, AnalyticOnNhd.smul, differentiableOn_star_iff, PowerSeries.IsRestricted.smul, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, EuclideanGeometry.reflection_orthogonal_vadd, MeasureTheory.eLpNormEssSup_const_smul, MeasureTheory.hausdorffMeasure_segment, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, curveIntegral_smul, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, IntervalIntegrable.smul_continuousOn, Orientation.inner_rotation_pi_div_two_right_smul, Orientation.oangle_add_left_smul_rotation_pi_div_two, derivWithin_smul, MeasureTheory.integral_smul_nnreal_measure, Complex.circleTransformDeriv_eq, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, fderivWithin_comp_add_left, MeasureTheory.Measure.integral_comp_mul_right, HasFDerivWithinAt.pow, intervalIntegral.inv_smul_integral_comp_div_add, MeromorphicOn.divisor_fun_smul, MeasureTheory.IntegrableOn.continuousOn_smul, taylorWithinEval_hasDerivAt_Ioo, MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul, fderivWithin_fun_smul, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, Real.fourierIntegralInv_eq', ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, SlashInvariantForm.slash_action_eq', ModularForm.mul_slash, ContDiffOn.smul_const, BoundedContinuousFunction.algebraMap_apply, Complex.integral_boundary_rect_eq_zero_of_differentiableOn, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, norm_add_eq_iff_real, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, contDiffAt_norm_smul_iff, norm_iteratedFDerivWithin_smul_le, ContDiffMapSupportedIn.iteratedFDerivLM_apply, MeasureTheory.weightedSMul_apply, MeasureTheory.LocallyIntegrable.integrable_smul_right_of_hasCompactSupport, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, Orientation.tan_oangle_add_left_smul_rotation_pi_div_two, hasDerivWithinAt_taylorWithinEval, Real.fourierIntegral_eq, MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one, MeasureTheory.eLpNorm'_zero', OnePoint.isBoundedAt_iff_exists_SL2Z, circleIntegral_def_Icc, MeasureTheory.integral_unique, setIntegral_withDensity_eq_setIntegral_smul₀, Complex.hasSum_taylorSeries_of_entire, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_ae, intervalIntegral.intervalIntegral_eq_integral_uIoc, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, circleIntegrable_iff, LinearMap.IsSymmetric.diagonalization_apply_self_apply, lp.coeFn_star, hasFPowerSeriesOnBall_pi_iff, SmoothPartitionOfUnity.contMDiffAt_finsum, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContDiffMapSupportedIn.structureMapCLM_apply, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, setIntegral_withDensity_eq_setIntegral_toReal_smul, MeasureTheory.Lp.coeFn_const, aemeasurable_smul_const, DifferentiableWithinAt.fun_const_smul, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, MeasureTheory.Measure.toSphere_apply_aux, tendsto_integral_peak_smul_of_integrable_of_tendsto, inner_eq_norm_mul_iff, tendsto_smul_comp_nat_floor_of_tendsto_mul, VectorField.mpullbackWithin_smul, eqOn_dslope_sub_smul, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, Differentiable.fun_smul, MeasureTheory.condExpIndL1Fin_smul, SlashInvariantForm.quotientFunc_mk, InnerProductGeometry.angle_smul_right_of_pos, WeakFEPair.symm_Λ₀_eq, ModularForm.SL_slash, intervalIntegral.integral_comp_sub_div, FormalMultilinearSeries.derivSeries_coeff_one, tangentConeAt_nonempty_of_properSpace, intervalIntegral.integral_comp_mul_left, AnalyticAt.fun_const_smul, deriv_const_smul, intervalIntegral.integral_comp_mul_sub, derivWithin_comp_const_sub, enorm_add₃_le, MeasureTheory.Integrable.add', Submodule.starProjection_singleton, Orientation.tan_oangle_add_right_smul_rotation_pi_div_two, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable_aux, curveIntegralFun_smul, addInvariantVectorField_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, ProbabilityTheory.integral_gaussianReal_eq_integral_smul, hasDerivWithinAt_iff_isLittleO, derivWithin_fun_const_smul_field, MeasureTheory.IntegrableOn.smul_continuousOn, combo_mem_ball_of_ne, Complex.hasSum_taylorSeries_on_ball, fderiv_fun_pow, conformal_const_smul, lp.coeFnAddMonoidHom_apply, ContDiffWithinAt.fun_smul, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, hasFDerivWithinAt_comp_smul_iff_smul, sum_cauchyPowerSeries_eq_integral, fderiv_fun_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivAt, MeromorphicOn.fun_smul, MeasureTheory.smul_convolution, Real.vector_fourierIntegral_eq_integral_exp_smul, VectorField.mlieBracketWithin_const_smul_right, PadicInt.mahlerTerm_apply, iteratedFDerivWithin_comp_add_right', Complex.taylorSeries_eq_of_entire, HasStrictFDerivAt.pow, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.fourier_real_eq_integral_exp_smul, enorm_indicator_le_of_subset, ProbabilityTheory.covarianceOperator_apply, InnerProductGeometry.angle_smul_left_of_neg, MeasureTheory.integral_tilted, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, smul_unitClosedBall, MeasureTheory.average_mem_openSegment_compl_self, TestFunction.continuous_iff_continuous_comp, MeasureTheory.L1.integral_smul, DifferentiableOn.smul_const, TestFunction.toBoundedContinuousFunctionCLM_apply, Conformal.const_smul, MeasureTheory.Lp.instFourierInvSMul, difference_quotients_converge_uniformly, MeasureTheory.eLpNorm_add_lt_top, HasSum.hasSum_at_zero, HasFDerivAt.norm_sq, derivWithin.scomp_of_eq, fderiv_const_smul_field, polynomialFunctions.starClosure_topologicalClosure, tendsto_integral_exp_inner_smul_cocompact_of_continuous_compact_support, threeAPFree_sphere, AddCircle.integral_haarAddCircle, WithCStarModule.inner_def, InnerProductSpace.HarmonicAt.const_smul, CircleIntegrable.const_smul, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, Real.fourier_deriv, iteratedDeriv_scomp_three, hasDerivWithinAt_pi, MeasureTheory.MemLp.zero, MeasureTheory.eLpNormEssSup_zero, Orientation.oangle_smul_left_of_neg, MDifferentiable.smul, norm_smul_inv_norm, deriv.star, derivWithin.scomp, DifferentiableOn.circleIntegral_sub_inv_smul, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto, ModularForm.prod_slash_sum_weights, Submodule.reflection_singleton_apply, smul_unitClosedBall_of_nonneg, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero, WeakFEPair.h_feq, differentiableAt_smul_iff, OnePoint.isBoundedAt_iff_forall_SL2Z, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', HasStrictFDerivAt.star, Submodule.reflection_apply, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, SchwartzMap.integral_fourierInv_smul_eq, Memℓp.star_mem, SlashInvariantForm.quotientFunc_smul, Besicovitch.SatelliteConfig.exists_normalized_aux2, ENormedAddMonoid.enorm_eq_zero, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_integrableOn, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, HasFDerivAt.star, MeasureTheory.LocallyIntegrable.indicator, CStarMatrix.toCLM_injective, Complex.integral_circleTransform, iteratedDeriv_scomp_eq_sum_orderedFinpartition, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, hasDerivAt_iff_isLittleO, UniqueDiffWithinAt.smul, hasFPowerSeriesAt_const, EuclideanGeometry.angle_vadd_const, HasFPowerSeriesOnBall.const_smul, HasFDerivWithinAt.fun_const_smul, HasStrictFDerivAt.const_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, ProbabilityTheory.HasGaussianLaw.smul, OnePoint.isZeroAt_iff_exists_SL2Z, analyticOrderAt_smul_eq_top_of_left, EisensteinSeries.E2_slash_action, sameRay_iff_inv_norm_smul_eq_of_ne, norm_sum_lt_of_strictConvexSpace, UniformConvexOn.strictConvexOn, Orientation.oangle_sign_sub_smul_left, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge', MeasureTheory.SimpleFunc.integral_eq_sum_filter, fderivWithin_star, Differentiable.fun_const_smul, MeasureTheory.Measure.quasiMeasurePreserving_smul, MeasureTheory.hasFiniteIntegral_zero, HasFDerivAt.fun_smul, Function.HasTemperateGrowth.toTemperedDistribution_apply, HasLineDerivAt.tendsto_slope_zero_right, Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, Real.Angle.sign_two_nsmul_eq_neg_sign_iff, CuspForm.coeHom_apply, BoundedContinuousFunction.coe_toContinuousMapStarₐ, MeasureTheory.L1.setToL1_smul_left, CStarMatrix.norm_def', MeasureTheory.Integrable.smul_bdd, MeasureTheory.convolution_smul, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, EisensteinSeries.G2_slash_action, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux, stereoInvFunAux_apply, StrongFEPair.functional_equation, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, HasFDerivAtFilter.isThetaTVS_sub, iteratedDeriv_smul_const, circleIntegral.integral_sub_inv_smul_sub_smul, SchwartzMap.fourier_lineDerivOp_eq, DifferentiableAt.smul, TemperedDistribution.instLineDerivLeftSMulReal, LindemannWeierstrass.exp_polynomial_approx, CStarMatrix.inner_toCLM_conjTranspose_left, EuclideanGeometry.inversion_vsub_center, MeasureTheory.Integrable.essSup_smul, MeasureTheory.pdf.integral_pdf_smul, ContMDiff.smul, hasLineDerivWithinAt_smul_iff, MDifferentiable.const_smul, MeasureTheory.condExpL2_indicator_ae_eq_smul, conformalAt_const_smul, DoubleCentralizer.norm_def, MeromorphicAt.fun_smul, MeasureTheory.Measure.integral_comp_inv_mul_left, curveIntegralFun_trans_aeeq_right, MeasureTheory.measure_smul_average, MDifferentiableOn.smul, Orientation.oangle_sign_sub_smul_right, Complex.integral_comp_polarCoord_symm, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_neg, HasFDerivAt.fun_const_smul, Orientation.oangle_smul_left_self_of_nonneg, curveIntegral_fun_smul, Differentiable.const_smul, taylor_tendsto, dslope_sub_smul, mellin_hasDerivAt_of_isBigO_rpow, deriv_fun_smul, MeasureTheory.convolution_lsmul, SlashInvariantForm.coe_translate, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, strongConcaveOn_zero, integral_withDensity_eq_integral_smul, intervalIntegral.integral_comp_add_div, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux1, cauchyPowerSeries_apply, Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_pi, DifferentiableAt.const_smul, MeasureTheory.MemLp.star, BoxIntegral.HasIntegral.smul, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, integral_smul_const, SameRay.inv_norm_smul_eq, hasFPowerSeriesOnBall_const, ContDiffMapSupportedIn.seminorm_le_iff, ESeminormedAddCommMonoid.add_comm, MeasureTheory.Measure.integral_comp_smul_of_nonneg, DiffContOnCl.circleIntegral_sub_inv_smul, Function.HasTemperateGrowth.fun_smul, iteratedFDerivWithin_comp_add_left, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, iteratedDeriv_fun_const_smul, fderiv_smul, BoundedContinuousFunction.mem_charPoly, OrthonormalBasis.orthogonalProjection_apply_eq_sum, BoundedContinuousFunction.charAlgHom_apply, iteratedFDerivWithin_const_smul_apply, HasFDerivWithinAt.star, affinity_unitClosedBall, ContDiffMapSupportedIn.coe_smul, PadicInt.mahlerSeries_apply, AddCircle.ergodic_nsmul_add, MeasureTheory.integral_singleton', HasFDerivWithinAt.const_smul, DoubleCentralizer.nnnorm_def, norm_inner_eq_norm_iff, Real.circleAverage_eq_circleIntegral, enorm_add_le, Real.Angle.two_nsmul_eq_zero_iff, MeasureTheory.eLpNorm_eq_zero_iff, inner_eq_norm_mul_iff_div, MeasureTheory.setToFun_smul_left', MeasureTheory.integral_smul, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left', mellinInv_eq_fourierIntegralInv, ProbabilityTheory.strong_law_ae, ContDiffOn.const_smul, EuclideanGeometry.orthogonalProjection_apply', SmoothPartitionOfUnity.contDiffAt_finsum, ContMDiffAt.smul, strictConvex_closedBall, MeasureTheory.IntegrableOn.indicator, isBigO_rpow_top_log_smul, differentiableAt_star_iff, TestFunction.coe_smul, has_fderiv_at_filter_real_equiv, MeasureTheory.setIntegral_condExpInd, tendsto_integral_exp_smul_cocompact, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, MeasureTheory.integral_comp_rpow_Ioi_of_pos, TestFunction.postcompCLM_apply, AddCircle.exists_norm_nsmul_le, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, gelfandStarTransform_symm_apply, PadicInt.coe_addChar_of_value_at_one, HasFDerivWithinAt.fun_smul, PadicInt.mahlerSeries_apply_nat, intervalIntegral.integral_deriv_comp_smul_deriv', MeasureTheory.Submartingale.smul_nonneg, openSegment_subset_ball_of_ne, NormedSpace.normalize_smul, MeasureTheory.integrable_withDensity_iff_integrable_smul', IsMIntegralCurveOn.comp_mul, HasDerivAt.star, isAddFundamentalDomain_Ioc, iteratedFDeriv_const_smul_apply, InnerProductGeometry.angle_eq_zero_iff, AnalyticAt.smul, hasLineDerivAt_smul_iff, VectorField.lieBracket_const_smul_left, mellinInv_eq_fourierInv, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, HasDerivAtFilter.const_smul, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, VectorFourier.fourierIntegral_const_smul, ContDiffAt.contDiffAt_norm_smul, Real.fourier_real_eq, Asymptotics.IsEquivalent.smul, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, hasSum_fourier_series_L2, Real.tendsto_integral_gaussian_smul', MeasureTheory.eLpNorm_zero, AddCircle.ergodic_add_left, Real.Angle.coe_coeHom, HilbertBasis.hasSum_orthogonalProjection, iteratedFDeriv_const_smul_apply', stereoInvFun_apply, analyticAt_smul, fderiv_pow, Real.fourierIntegral_convergent_iff', lp.singleAddMonoidHom_apply, MeasureTheory.integral_indicatorConstLp, HilbertBasis.hasSum_repr, HasFDerivAt.pow, MeasureTheory.Measure.integral_comp_smul, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, setIntegral_withDensity_eq_setIntegral_smul₀', enorm_indicator_le_enorm_self, MeasureTheory.condExpIndSMul_smul, MeasureTheory.Measure.hausdorffMeasure_smul₀, real_inner_div_norm_mul_norm_eq_one_iff, MeasureTheory.LocallyIntegrableOn.add, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', iteratedDeriv_const_smul, DiffContOnCl.deriv_eq_smul_circleIntegral, DifferentiableOn.deriv_eq_smul_circleIntegral, ContDiffMapSupportedIn.uniformSpace_eq_iInf, MeasureTheory.Integrable.indicator₀, iteratedFDerivWithin_smul_const_apply, VectorField.mpullback_smul_apply, BoxIntegral.BoxAdditiveMap.volume_apply, ProbabilityTheory.HasGaussianLaw.fun_smul, TestFunction.coe_ofSupportedInCLM, MeasureTheory.Integrable.toL1_smul, lp.singleContinuousAddMonoidHom_apply, AddCircle.ergodic_add_right, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, Real.fourierIntegral_iteratedDeriv, intervalIntegral.smul_integral_comp_mul_sub, iteratedDerivWithin_smul_const, InnerProductSpace.exists_of_rankOne_eq_rankOne, MeasureTheory.Lp.coeFn_smul, ContDiffMapSupportedIn.structureMapCLM_zero_apply, ContDiffWithinAt.const_smul, MeasureTheory.IntegrableAtFilter.add, MeasureTheory.SimpleFunc.integral_eq_sum, iteratedDerivWithin_const_smul_field, NormedSpace.normalize_smul_of_pos, intervalIntegral.integral_comp_smul_deriv'', WeakFEPair.Λ₀_eq, MeasureTheory.IntegrableOn.integrable_indicator, coe_ringEquiv_lpBCF, intervalIntegral.integral_comp_smul_deriv, compContinuousLinearMap_zero, HasLineDerivWithinAt.smul, FormalMultilinearSeries.apply_eq_pow_smul_coeff, MeasureTheory.setIntegral_condExpIndSMul, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, VectorField.lieBracketWithin_smul_left, VectorField.mlieBracketWithin_const_smul_left, MeasureTheory.LocallyIntegrable.add, MeasureTheory.indicatorConstLp_univ, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, OrthonormalBasis.equiv_apply, HasStrictDerivAt.smul, intervalIntegral.integral_comp_add_mul, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn_real, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, AnalyticAt.fun_smul, MeasureTheory.setIntegral_rnDeriv_smul, Monotone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, MeasureTheory.Lp.norm_const_le, DiffContOnCl.circleIntegral_one_div_sub_center_pow_smul, Matrix.exp_nsmul, HasDerivWithinAt.scomp_of_eq, MDifferentiableAt.const_smul, DiffContOnCl.const_smul, MeasureTheory.integral_image_eq_integral_abs_deriv_smul, VectorFourier.fourierIntegral_convergent_iff, integral_comp_polarCoord_symm, MeasureTheory.MemLp.add, HasLineDerivAt.tendsto_slope_zero_left, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, DifferentiableOn.fun_const_smul, HasDerivAt.smul_const, contDiff_const_smul, WeakFEPair.h_feq', stereoToFun_apply, SchwartzMap.convolution_apply, dslope_sub_smul_of_ne, MeasureTheory.eLpNorm_star, MeasureTheory.eLpNorm_zero', fderivWithin_const_smul_of_field, ContDiffAt.const_smul, natCast_le_analyticOrderAt, VectorField.lieBracket_fmul_left, iteratedDerivWithin_fun_const_smul_field, affinity_unitBall, EisensteinSeries.D2_inv, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, SchwartzMap.fourierInv_apply_eq, HasDerivAt.tendsto_slope_zero_left, InnerProductSpace.laplacian_smul, MeasureTheory.setToFun_smul_left, derivWithin_fun_const_smul, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', MeasureTheory.L1.setToL1_smul_left', LinearMap.IsSymmetric.toSelfAdjoint_apply, MeasureTheory.Lp.constₗ_apply, Real.Angle.sin_two_nsmul, circleIntegral.norm_two_pi_i_inv_smul_integral_le_of_norm_le_const, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, Real.fourierIntegral_real_eq_integral_exp_smul, InnerProductSpace.laplacianWithin_smul, TestFunction.coe_ofSupportedInLM, Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, ContDiffWithinAt.smul, normedAddGroupHomCompletionHom_apply, iteratedFDerivWithin_comp_sub, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, fourierCoeff.const_smul, OnePoint.isZeroAt_iff_forall_SL2Z, setIntegral_withDensity_eq_setIntegral_toReal_smul₀', hasSum_cauchyPowerSeries_integral, differentiableWithinAt_comp_sub, MeasureTheory.Lp.instFourierSMul, MeasureTheory.integral_fintype, strictConvexSpace_iff, intervalIntegral.smul_integral_comp_sub_mul, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, MeasureTheory.Lp.norm_const', SchwartzMap.coeHom_injective, Orientation.inner_rotation_pi_div_two_left_smul, smul_sphere, OnePoint.isBoundedAt_iff, HasStrictDerivAt.scomp_of_eq, fourierIntegral_eq_half_sub_half_period_translate, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2, fderiv_const_smul_of_invertible, meromorphicOrderAt_eq_int_iff, EuclideanGeometry.orthogonalProjection_vadd_eq_self, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, hasStrictDerivAt_finCons', hasDerivWithinAt_taylorWithinEval_at_Icc, Real.Angle.two_nsmul_eq_iff_eq_of_abs_toReal_lt_pi_div_two, HasFPowerSeriesWithinAt.pi, hasStrictDerivAt_finCons, intervalIntegral.integral_deriv_comp_smul_deriv, MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smul, rescale_to_shell, intervalIntegral.integral_smul_measure, signedDist_smul_of_pos, OnePoint.IsZeroAt.smul_iff, HasDerivAtFilter.star, HasDerivAtFilter.scomp, AnalyticOn.const_smul, Submodule.smul_starProjection_singleton, contMDiff_smul, MeasureTheory.eLpNorm'_zero, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_smul, fderivWithin_smul, aestronglyMeasurable_smul_const_iff, differentiableAt_complex_iff_differentiableAt_real, intervalIntegral.inv_smul_integral_comp_sub_div, hasDerivWithinAt_taylor_coeff_within, UniformConvexOn.convexOn, AnalyticOn.smul, Complex.two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable, MeasureTheory.charFun_conv, CStarMatrix.toCLM_apply_single, hasSum_two_pi_I_cauchyPowerSeries_integral, MeasureTheory.integrable_zero, differentiableWithinAt_star_iff, fderivWithin_comp_smul_eq_fderivWithin_smul, signedDist_vadd_left_swap, MeasureTheory.condExp_smul, MeasureTheory.IntegrableOn.integrable_indicator₀, HasFDerivWithinAt.norm_sq, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, EuclideanGeometry.reflection_apply_of_mem, iteratedDerivWithin_scomp_three, HasFDerivWithinAt.smul_const, MeasureTheory.LocallyIntegrableOn.smul_continuousOn, SchwartzMap.fourierInv_lineDerivOp_eq, VectorFourier.integral_fourierIntegral_swap, curveIntegralFun_trans_of_half_lt, IsOpen.smul_sphere, EuclideanGeometry.Sphere.secondInter_smul, strongConcaveOn_iff_convex, MeasureTheory.condExpIndL1_smul, Fourier.fourierIntegral_const_smul, hasDerivAtFilter_iff_isLittleO, HasDerivAt.fun_const_smul, CStarMatrix.toCLM_apply_eq_sum, Meromorphic.fun_smul, MeasureTheory.Measure.NullMeasurableSet.const_smul, MDifferentiable.slash, MeasureTheory.eLpNormEssSup_smul_measure, ContDiffMapSupportedIn.locallyConvexSpace, hasFDerivWithinAt_comp_smul_smul_iff, ContMDiffWithinAt.smul, iteratedDeriv_comp_const_smul, norm_inner_eq_norm_tfae, Real.circleAverage_def, iteratedDeriv_vcomp_three, intervalIntegral.integral_smul, CuspForm.coe_translate, fderivWithin_fun_pow, HasDerivAt.const_smul, signedDist_vadd_right, UniqueDiffWithinAt.smul_iff, deriv.scomp, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAtFilter.const_smul, MemHolder.smul, PMF.integral_eq_tsum, DiffContOnCl.circleAverage_smul_div, lp.ext_continuousAddMonoidHom_iff, intervalIntegral.integral_comp_div, AddCircle.ergodic_nsmul, Orientation.oangle_sign_smul_left, HasDerivAtFilter.scomp_of_eq, MeasureTheory.Integrable.bdd_smul, HasDerivAt.scomp_hasDerivWithinAt_of_eq, MeasureTheory.setAverage_eq, ZSpan.isAddFundamentalDomain', enorm_add₄_le, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, HasFDerivWithinAt.mapsTo_tangent_cone, InnerProductSpace.gramSchmidtOrthonormalBasis_apply_of_orthogonal, homeomorphUnitSphereProd_symm_apply_coe, taylorWithinEval_succ, StrictConvexSpace.strictConvex_closedBall, Real.fourier_eq, MeasureTheory.eLpNorm_indicator_eq_eLpNorm_restrict, Orientation.oangle_sign_smul_add_smul_smul_add_smul, MeasureTheory.Measure.integral_comp_mul_left, AnalyticAt.analyticOrderNatAt_eq_iff, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, HasFDerivAtFilter.fun_const_smul, MeasureTheory.eLpNorm_indicator_const_le, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, RCLike.norm_nsmul, DifferentiableAt.fun_const_smul, Orientation.oangle_sign_smul_sub_left, MeasureTheory.memL1_smul_of_L1_withDensity, analyticAt_iff_analytic_fun_smul, MeasureTheory.Measure.toSphere_apply', iteratedDeriv_comp_neg, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, DiffContOnCl.smul_const, MeasureTheory.condExpIndL1_smul', tendsto_integral_exp_smul_cocompact_of_inner_product, contDiff_smul_const, MeasureTheory.integral_biUnion_eq_sum_powerset, CStarMatrix.toCLM_apply, HasDerivWithinAt.fun_const_smul, Antitone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, EisensteinSeries.isBoundedAtImInfty_eisensteinSeries_SIF, differentiableAt_norm_smul, circleIntegral.integral_smul, Real.circleAverage_eq_integral_add, intervalIntegral.inv_smul_integral_comp_div_sub, ContDiff.smul_const, iteratedFDerivWithin_comp_add_right, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDeriv_right, DoubleCentralizer.instIsCentralScalar, meromorphicOrderAt_smul, hasFDerivAt_pow, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', Real.Angle.sign_two_nsmul_eq_sign_iff, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, ModularForm.coeHom_apply, deriv_smul, VectorField.mpullbackWithin_smul_apply, ModularForm.slash_action_eq'_iff, Real.fourier_iteratedDeriv, MeasureTheory.Integrable.smul_of_top_left, MeasureTheory.integral_comp_rpow_Ioi, hasDerivAt_iff_tendsto_slope_zero, WeakFEPair.hf_zero, hasFiniteFPowerSeriesAt_const, MeasureTheory.Integrable.toL1_smul', Orientation.oangle_sub_right_smul_rotation_pi_div_two, MeasureTheory.LocallyIntegrable.integrable_smul_left_of_hasCompactSupport, VectorFourier.fourierSMulRight_apply, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, StrongConcaveOn.strictConcaveOn, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, NormedSpace.normalize_smul_of_neg, derivWithin_comp_mul_left, derivWithin_fun_smul, MeasureTheory.integral_fun_norm_addHaar, MeasureTheory.setIntegral_ge_of_const_le, HasDerivWithinAt.scomp_hasDerivAt_of_eq, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, UnitAddTorus.hasSum_mFourier_series_L2, MeasureTheory.Lp.norm_const, MeasureTheory.lpNorm_nsmul, ZSpan.exist_unique_vadd_mem_fundamentalDomain, sum_mem_ball_of_strictConvexSpace, iteratedDerivWithin_const_smul, HasStrictDerivAt.smul_const, MeasureTheory.average_union_mem_segment, PadicInt.continuous_addChar_of_value_at_one, DifferentiableWithinAt.smul_const, enorm_zero, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, BoxIntegral.BoxAdditiveMap.toSMul_apply, CStarMatrix.mul_entry_mul_eq_inner_toCLM, homeomorphSphereProd_symm_apply_coe, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, HasFDerivAt.smul_const, MeasureTheory.integrable_tilted_iff, Real.Angle.two_nsmul_toReal_eq_two_mul_add_two_pi, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one, differentiableWithinAt_comp_add_right, mellin_eq_fourierIntegral, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, fderivWithin_const_smul_of_invertible, Real.fourierIntegral_eq', Real.circleAverage_fun_smul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', intervalIntegral.integral_comp_smul_deriv', EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Complex.hasSum_taylorSeries_on_emetric_ball, MeasureTheory.integrable_withDensity_iff_integrable_smul, HasFDerivAtFilter.star, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, hasFPowerSeriesOn_cauchy_integral, EuclideanGeometry.inversion_def, iteratedDeriv_fun_const_smul_field, Complex.circleIntegral_sub_center_inv_smul_eq_of_differentiable_on_annulus_off_countable, intervalIntegral.integral_comp_sub_mul, OrthonormalBasis.sum_repr_symm, homeomorphUnitSphereProd_apply_fst_coe, Real.Angle.two_nsmul_eq_pi_iff, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, NormedSpace.exp_nsmul, Orientation.inner_smul_rotation_pi_div_two_right, Valued.integer.coe_span_singleton_eq_closedBall, UniformConcaveOn.concaveOn, constFormalMultilinearSeries_apply_of_nonzero, Real.circleAverage_smul, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, VectorField.lieBracket_const_smul_right, MeasureTheory.uniformIntegrable_average, MDifferentiableAt.smul, UpperHalfPlane.petersson_slash_SL, HasStrictDerivAt.const_smul, MeasureTheory.setIntegral_rnDeriv_smul', intervalIntegral.smul_integral_comp_mul_left, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, uniformConcaveOn_zero, intervalIntegrable_const_iff, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, InnerProductGeometry.angle_smul_smul, ModularForm.SL_slash_def, CFC.log_pow', ModelWithCorners.convex_range, ContDiffMapSupportedIn.postcompCLM_apply, DoubleCentralizer.coeHom_apply, eHolderNorm_nsmul, ContDiffBump.integral_normed_smul, Orientation.oangle_sign_smul_right, MeasureTheory.memLp_indicator_iff_restrict, SmoothBumpFunction.contMDiff_smul, HasFPowerSeriesOnBall.factorial_smul, HasFDerivAt.const_smul, ContMDiffMap.coe_smul, Memℓp.star_iff, sameRay_iff_inv_norm_smul_eq, BoxIntegral.integral_smul, hasFPowerSeriesAt_pi_iff, MeasureTheory.eLpNorm'_const_smul, ProbabilityTheory.integral_tilted_mul_eq_mgf, MeasureTheory.integral_simpleFunc_larger_space, MeasureTheory.IsAddFundamentalDomain.measure_eq_card_smul_of_vadd_ae_eq_self, ContDiffBump.apply, Orientation.oangle_sign_add_smul_left, HasFDerivAt.lim_real, MeasureTheory.eLpNormEssSup_add_le, StrictConvex.linearIsometry_preimage, analyticAt_iff_analytic_smul, UniformConcaveOn.strictConcaveOn, coe_addEquiv_lpBCF_symm, intervalIntegral.integral_const_of_cdf, DifferentiableWithinAt.const_smul, intervalIntegral.integral_const', Complex.differentiable_on_off_countable_deriv_eq_smul_circleIntegral, intervalIntegral.integral_smul_deriv_eq_deriv_smul, HasStrictDerivAt.scomp, Orientation.oangle_sub_left_smul_rotation_pi_div_two, tangentConeAt_real_subset_isRCLikeNormedField, ContDiffMapSupportedIn.norm_apply_le_seminorm, integral_withDensity_eq_integral_toReal_smul, ZLattice.covolume.tendsto_card_div_pow', OnePoint.IsBoundedAt.smul_iff, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, MeasureTheory.MemLp.zero', hasDerivAtFilter_iff_tendsto, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_measure_nhdsWithin_pos, InnerProductSpace.HarmonicOnNhd.const_smul, MeasureTheory.setIntegral_indicatorConstLp, ContDiff.smul, ProbabilityTheory.isGaussian_conv, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, enorm_zero, MeasureTheory.tendsto_integral_smul_of_tendsto_average_norm_sub, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_pos, MeasureTheory.convolution_lsmul_swap, Orientation.oangle_add_right_smul_rotation_pi_div_two, Orientation.inner_smul_rotation_pi_div_two_left, hasDerivAtFilter_finCons', MeasureTheory.Supermartingale.smul_nonpos, setIntegral_withDensity_eq_setIntegral_smul, MeromorphicAt.meromorphicTrailingCoeffAt_smul, fderiv_smul_const, hasDerivWithinAt_finCons', mellin_comp_rpow, MeasureTheory.Submartingale.sum_smul_sub', intervalIntegral.smul_integral_comp_mul_add, FormalMultilinearSeries.apply_eq_prod_smul_coeff, DifferentiableWithinAt.fun_smul, HasDerivWithinAt.scomp, hasFPowerSeriesWithinAt_pi_iff, CircleIntegrable.const_fun_smul, MeasureTheory.eLpNorm_const_smul, hasDerivWithinAt_comp_mul_left_smul_iff, hasDerivAt_iff_isLittleO_nhds_zero, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, iteratedFDeriv_smul_const_apply, HasStrictDerivAt.fun_const_smul, MeasureTheory.Measure.addHaar_smul_of_nonneg, MeasureTheory.Lp.instIsBoundedSMul, Orientation.oangle_smul_right_of_neg, Real.fourierIntegral_convergent_iff, MeasureTheory.integral_rnDeriv_smul, fourierCoeff_eq_intervalIntegral, MeasureTheory.exists_Lp_half, CStarAlgebra.conjugate_le_norm_smul', ContDiffAt.smul_const, AnalyticAt.exists_eq_sum_add_pow_mul, iteratedDerivWithin_comp_const_smul, Complex.taylorSeries_eq_on_eball, MeasureTheory.Measure.map_addHaar_smul, InnerProductSpace.gramSchmidt_def'', PMF.integral_eq_sum, MeasureTheory.average_add_measure, intervalIntegral.inv_smul_integral_comp_div, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, ContinuousMultilinearMap.changeOriginSeries_support, WeakFEPair.functional_equation₀, Real.tendsto_integral_cexp_sq_smul, ContDiffMapSupportedIn.seminorm_apply, MemHolder.nnHolderNorm_nsmul, aemeasurable_withDensity_iff, derivWithin_const_smul, signedDist_smul_of_neg, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, circleAverage_sub_sub_inv_smul_of_differentiable_on, Real.Angle.coe_nsmul, SchwartzMap.convolution_continuous_left, DifferentiableAt.fun_smul, circleIntegral.integral_smul_const, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, fderiv_norm_smul, isMIntegralCurveAt_comp_mul_ne_zero, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, HasFDerivAt.hasFDerivAt_norm_smul, MeasureTheory.eLpNorm_indicator_le, VectorField.mlieBracket_const_smul_left, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, Complex.wedgeIntegral_add_wedgeIntegral_eq, IsMIntegralCurve.comp_mul, MeasureTheory.eLpNorm'_add_le_of_le_one, HasFPowerSeriesOnBall.pi, ContinuousMultilinearMap.piₗᵢ_symm_apply, HasDerivAt.scomp, AnalyticAt.analyticOrderAt_ne_top, signedDist_vadd_right_swap, iteratedDerivWithin_fun_const_smul, Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable, LinearMap.IsSymmetric.apply_eigenvectorBasis, AnalyticAt.const_smul, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitone, coe_addEquiv_lpBCF, hasLineDerivAt_iff_tendsto_slope_zero, ProbabilityTheory.strong_law_Lp, fderivWithin_const_smul_field, deriv_fun_const_smul, Real.Angle.natCast_mul_eq_nsmul, MeasureTheory.integral_const, HasDerivWithinAt.smul_const, CStarAlgebra.star_left_conjugate_le_norm_smul, DifferentiableOn.smul, Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable_of_tendsto, SchwartzMap.lineDerivOp_fourierInv_eq, iteratedDeriv_comp_const_sub, hasFDerivWithinAt_comp_add_right, Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two, Real.Angle.zsmul_eq_iff, Real.fourier_bilin_convolution_eq_integral, MemHolder.nnHolderNorm_smul, MeasureTheory.Integrable.integral_smul, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, meromorphicOrderAt_smul_of_ne_zero, BoxIntegral.integralSum_smul, Real.tendsto_integral_exp_smul_cocompact, mellin_convergent_iff_norm, MeasureTheory.setIntegral_tilted', HasDerivWithinAt.smul, ContinuousOn.integral_sub_linear_isLittleO_ae, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.integral_smul, iteratedDerivWithin_smul, DomAddAct.vadd_Lp_const, Orientation.oangle_smul_smul_self_of_nonneg, MeromorphicNFAt.smul_analytic, Function.HasTemperateGrowth.smul, IntervalIntegrable.add, rescale_to_shell_zpow, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, integrableOn_peak_smul_of_integrableOn_of_tendsto, ModelWithCorners.convex_range', SchwartzMap.coe_coeHom, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, signedDist_vadd_left, ContDiffBump.convolution_eq_right, MeasureTheory.AEEqFun.Integrable.smul, ExistsContDiffBumpBase.w_def, HasDerivWithinAt.const_smul, MeasureTheory.Measure.setIntegral_comp_smul, ContDiffOn.smul, WeakFEPair.hf_modif_FE, deriv_smul_const, DifferentiableAt.star_star, DiffContOnCl.two_pi_i_inv_smul_circleIntegral_sub_inv_smul, fourierIntegral_half_period_translate, iteratedFDerivWithin_comp_add_left', MeasureTheory.withDensitySMulLI_apply, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.Measure.addHaar_nnreal_smul, Complex.taylorSeries_eq_on_emetric_ball, dist_div_norm_sq_smul, torusIntegral_smul, VectorField.mpullback_smul, HasStrictFDerivAt.fun_const_smul, fderivWithin_const_smul, HasDerivWithinAt.star, MeromorphicOn.extract_zeros_poles, ProbabilityTheory.IsGaussianProcess.smul, MeasureTheory.Integrable.add, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, SchwartzMap.instFourierSMul, Orientation.two_zsmul_oangle_smul_right_self, SchwartzMap.fourierTransformCLM_apply, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, SlashInvariantForm.slash_S_apply, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, MeasureTheory.Lp.constL_apply, SchwartzMap.fderivCLM_fourier_eq, CStarModule.inner_mul_inner_swap_le, mellin_const_smul, Real.Angle.two_nsmul_coe_div_two, NormedSpace.exp_smul, MeasureTheory.integral_fun_fst, SmoothPartitionOfUnity.contMDiff_finsum_smul, MeasureTheory.pdf.integrable_pdf_smul_iff, HasDerivWithinAt.scomp_hasDerivAt, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, VectorField.lieBracketWithin_smul_right, fderiv_fun_const_smul, deriv_comp_mul_left, hasDerivAtFilter_finCons, contDiff_smul, meromorphicNFAt_smul_iff_right_of_analyticAt, ZLattice.isAddFundamentalDomain, MeromorphicOn.smul, Complex.taylorSeries_eq_on_ball, CStarAlgebra.conjugate_le_norm_smul, norm_midpoint_lt_iff, MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', measurable_smul_const, WeakFEPair.functional_equation, MeasureTheory.Submartingale.sum_smul_sub, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, BoundedContinuousFunction.coe_toContinuousMapₐ, ContDiffMapSupportedIn.structureMapLM_zero_injective, MeromorphicOn.divisor_smul, IsSelfAdjoint.linearly_dependent_of_isLocalExtrOn, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.integral_countable, HasStrictFDerivAt.fun_smul, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, EuclideanGeometry.reflection_apply', ContDiffWithinAt.smul_const, BoxIntegral.Integrable.smul, isMIntegralCurveOn_comp_mul_ne_zero, MeasureTheory.eLpNorm_indicator_const', tendsto_integral_comp_smul_smul_of_integrable, DifferentiableAt.star, HasDerivAt.scomp_of_eq, MeasureTheory.IsFundamentalDomain.measure_eq_card_smul_of_smul_ae_eq_self, HasFPowerSeriesAt.pi, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, IntervalIntegrable.continuousOn_smul, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, VectorFourier.fourierPowSMulRight_apply, HasFDerivWithinAt.smul, inner_eq_norm_mul_iff_real, MeasureTheory.eLpNorm'_eq_zero_iff, MeasureTheory.Submartingale.smul_nonpos, MeasureTheory.Lp.simpleFunc.toLp_smul, SchwartzMap.convolution_flip, Filter.Tendsto.integral_sub_linear_isLittleO_ae, Complex.isometryOfOrthonormal_apply, intervalIntegral.smul_integral_comp_mul_right, Irreducible.maximalIdeal_eq_closedBall, intervalIntegral.integral_comp_div_add, CFC.log_pow, intervalIntegral.integral_smul_const, InnerProductSpace.laplacianWithin_smul_nhds, HasDerivAtFilter.isEquivalent_sub, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, SchwartzMap.integral_fourier_smul_eq, Real.dimH_segment, Complex.circleIntegral_one_div_sub_center_pow_smul_of_differentiable_on_off_countable, ContDiffAt.fun_smul, HasFDerivAt.hasFDerivAt_norm_smul_neg, fourierSubalgebra_closure_eq_top, ModularForm.prod_fintype_slash, derivWithin_comp_add_const, derivWithin.star, BoundedContinuousFunction.toContinuousMapₐ_apply, curveIntegralFun_trans_aeeq_left, fderivWithin_smul_const, MeasureTheory.eLpNorm_add_le, ContDiffMapSupportedIn.withSeminorms, AnalyticOn.fun_const_smul, MeasureTheory.withDensityᵥ_smul, fderiv_star, MeasureTheory.integrable_comp_smul_iff, derivWithin_fun_const_smul', ProbabilityTheory.setIntegral_tilted_mul_eq_cgf, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, iteratedDeriv_const_smul_field, IsMIntegralCurveAt.comp_mul_ne_zero, HasDerivAt.tendsto_slope_zero, hasDerivAtFilter_pi, stereographic_apply, Orientation.rotation_apply, OrthonormalBasis.sum_repr, TestFunction.instLocallyConvexSpaceReal, ModularFormClass.bdd_at_infty_slash, InnerProductSpaceable.innerProp, MeasureTheory.withDensityᵥ_rnDeriv_smul, differentiableWithinAt_smul_iff, StrongConvexOn.strictConvexOn, DifferentiableOn.const_smul, MeasureTheory.integral_indicator_const, ModularForm.slash_def, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, lineDeriv_smul, MeasureTheory.integrable_rnDeriv_smul_iff, ProbabilityTheory.strong_law_ae_simpleFunc_comp, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one_aux, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, ENormedAddCommMonoid.enorm_eq_zero, Real.tendsto_integral_gaussian_smul, enorm_add_le_of_le, IntervalIntegrable.integral_smul, CuspFormClass.zero_at_infty_slash, ContDiffMapSupportedIn.coe_coeHom, VectorFourier.fourierIntegral_comp_add_right, ContDiffMapSupportedIn.postcompLM_apply, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, analyticOrderAt_smul, MeasureTheory.withDensityᵥ_smul', ModularForm.is_invariant_one', MeasureTheory.eLpNorm_indicator_const₀, Filter.Tendsto.cesaro_smul, deriv_fun_const_smul_field, tendsto_integral_exp_inner_smul_cocompact, MeasureTheory.eLpNorm'_add_le, SchwartzMap.integral_smul_laplacian_right_eq_left, OrthonormalBasis.coe_equiv_euclideanSpace, VectorFourier.fourierIntegral_probChar, Orientation.two_zsmul_oangle_smul_left_self, Complex.arg_pow_coe_angle, Fourier.fourierIntegral_def, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, MeasureTheory.eLpNormEssSup_indicator_const_le, Unitization.norm_splitMul_snd_sq, fourierCoeffOn_eq_integral, MeasureTheory.integrableOn_zero, MeasureTheory.SimpleFunc.integral_const, Orientation.oangle_sign_smul_add_smul_right, Real.Angle.nsmul_toReal_eq_mul, deriv_const_smul', PadicInt.continuousAddCharEquiv_symm_apply, intervalIntegral.integral_comp_mul_right, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, EuclideanGeometry.dist_smul_vadd_eq_dist, MeasureTheory.integral_singleton, intervalIntegral.integral_comp_div_sub, coe_ringEquiv_lpBCF_symm, DifferentiableAt.smul_const, WeakFEPair.f_modif_aux1, enorm_add_le, ContDiffMapSupportedIn.continuous_iff_comp, DifferentiableOn.star, NormedSpace.norm_smul_normalize, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, MeasureTheory.Integrable.smul_prod, homeomorphSphereProd_apply_fst_coe, HasDerivAt.scomp_hasDerivWithinAt, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_apply_apply, strongConvexOn_iff_convex, strongConvexOn_zero, SchwartzMap.fourier_fderivCLM_eq, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, SchwartzMap.fourier_convolution_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, MeasureTheory.eLpNormEssSup_indicator_le, ContDiffAt.smul, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, MeasureTheory.SimpleFunc.integral_smul, Irreducible.maximalIdeal_pow_eq_closedBall_pow, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, ContinuousMap.elemental_id_eq_top, MeasureTheory.Integrable.add'', InnerProductSpace.laplacian_smul_nhds, ModularForm.is_invariant_const, fderiv_norm_smul_pos, FormalMultilinearSeries.le_radius_pi, WithLp.unitization_mul, DoubleCentralizer.instStarModule, MeasureTheory.eLpNorm_add_le', MeasureTheory.eLpNormEssSup_eq_zero_iff, differentiable_star_iff, CStarAlgebra.star_right_conjugate_le_norm_smul, iteratedDerivWithin_scomp_two, TestFunction.instContinuousSMulReal, MeasureTheory.integral_comp_mul_left_Ioi, ModularForm.SL_slash_apply, MeasureTheory.SimpleFunc.map_integral, MeasureTheory.measure_smul_setAverage, MeasureTheory.Integrable.comp_smul, ZSpan.vadd_mem_fundamentalDomain, DomMulAct.smul_Lp_const, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, MeasureTheory.Integrable.fourier_smul, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, differentiableWithinAt_comp_add_left, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, intervalIntegral.integral_comp_mul_add, FormalMultilinearSeries.radius_pi_le, VectorFourier.integral_fourierIntegral_smul_eq_flip, Orientation.inner_smul_rotation_pi_div_two_smul_left, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, HasStrictFDerivAt.smul_const, SchwartzMap.coe_apply, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, sub_smul_dslope, MeasureTheory.condExp_bot', Orientation.oangle_smul_right_of_pos, norm_iteratedFDeriv_smul_le, abs_real_inner_div_norm_mul_norm_eq_one_iff, HasFDerivAt.hasFDerivAt_norm_smul_pos, MeasureTheory.Integrable.smul_const, Complex.integral_boundary_rect_eq_zero_of_continuousOn_of_differentiableOn, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MeasureTheory.integral_finset, Orientation.inner_smul_rotation_pi_div_two_smul_right, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, fderivWithin_pow, EuclideanGeometry.orthogonalProjection_apply, MeasureTheory.ae_eq_zero_of_eLpNorm'_eq_zero, fderivWithin_fun_const_smul, Real.Angle.two_nsmul_neg_pi_div_two, UpperHalfPlane.IsZeroAtImInfty.slash, MeasureTheory.locallyIntegrable_zero, hasStrictFDerivAt_pow, FormalMultilinearSeries.derivSeries_apply_diag, derivWithin_comp_const_add, fderiv_comp_smul, lp.star_apply, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn, VectorField.lieBracketWithin_const_smul_right, ProbabilityTheory.strong_law_ae_of_measurable, InnerProductGeometry.angle_eq_pi_iff, Complex.two_pi_I_inv_smul_circleIntegral_sub_inv_smul_of_differentiable_on_off_countable, curveIntegralFun_trans_of_lt_half, fourierCoeffOn.const_smul, Real.fourierInv_eq, mulInvariantVectorField_smul, ModularForm.coe_translate, HasFPowerSeriesWithinOnBall.pi, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, MeasureTheory.condExpIndSMul_ae_eq_smul, DifferentiableOn.circleIntegral_one_div_sub_center_pow_smul, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, SmoothPartitionOfUnity.contMDiff_smul, hasFDerivWithinAt_pow, coe_algEquiv_lpBCF_symm, interval_average_eq, RCLike.nnnorm_nsmul, SchwartzMap.instFourierInvSMul, differentiableWithinAt_complex_iff_differentiableWithinAt_real, TorusIntegrable.function_integrable, MeasureTheory.Supermartingale.smul_nonneg, MeasureTheory.condExpIndSMul_smul', MDifferentiableWithinAt.smul, VectorField.lieBracket_smul_right, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, Real.Angle.two_nsmul_coe_pi, smul_closedBall, ContMDiffOn.smul, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, MeasureTheory.IntegrableOn.continuousOn_smul_of_subset, intervalIntegral.integral_unitInterval_deriv_eq_sub, integral_withDensity_eq_integral_smul₀, AnalyticOnNhd.fun_const_smul, MeasureTheory.integral_prod_smul, iteratedFDerivWithin_comp_sub', MeasureTheory.integrableOn_Ioi_comp_rpow_iff, Orientation.oangle_smul_right_self_of_nonneg, hasDerivAt_pi, SlashInvariantForm.coeHom_injective, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, MeasureTheory.integrable_fun_norm_addHaar, hasDerivWithinAt_finCons, EisensteinSeries.eisensteinSeries_slash_apply, HasDerivAt.smul, Meromorphic.smul, Orientation.oangle_sign_smul_add_smul_left, tendsto_integral_comp_smul_smul_of_integrable', AddCircle.toCircle_nsmul, MeasureTheory.average_union_mem_openSegment, TestFunction.coeFnAddMonoidHom_apply, fderivWithin_comp_add_right, Real.fourierInv_eq', Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', MellinConvergent.cpow_smul, ContDiffOn.fun_smul, Real.fourierIntegral_deriv, MeasureTheory.AEEqFun.eLpNorm_star, MeasureTheory.integral_fun_snd, ZLattice.covolume.tendsto_card_div_pow'', MeasureTheory.condExpL1CLM_smul, MeromorphicAt.smul, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, MeasureTheory.LocallyIntegrableOn.continuousOn_smul, Real.fourierIntegral_real_eq, fderiv_const_smul_of_field, HasLineDerivAt.smul, OrthonormalBasis.sum_repr', ContDiffMapSupportedIn.structureMapLM_zero_apply, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, MeasureTheory.average_union, deriv.star', SmoothBumpCovering.embeddingPiTangent_coe, MeasureTheory.lintegral_enorm_zero, analyticOrderAt_smul_eq_top_of_right, circleAverage_sub_sub_inv_smul_of_differentiable_on_off_countable, AnalyticOnNhd.const_smul, SchwartzMap.integral_smul_deriv_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left', intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Orientation.two_zsmul_oangle_smul_smul_self, SchwartzMap.fourier_convolution, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_continuousOn, OnePoint.isZeroAt_iff, PadicInt.instIsAddTorsionFree, SmoothPartitionOfUnity.IsSubordinate.contMDiff_finsum_smul, fderivWithin_comp_smul, Orientation.rotation_symm_apply, WeakFEPair.f_modif_aux2, HasFDerivAt.star_star, eHolderNorm_smul, mellin_cpow_smul, Differentiable.smul_const, MeasureTheory.eLpNormEssSup_indicator_const_eq, MeasureTheory.condExpIndL1Fin_smul', SlashInvariantFormClass.slash_action_eq, fderivWithin_pow_ring, fderiv_const_smul, constFormalMultilinearSeries_apply_succ, ProbabilityTheory.Kernel.integral_withDensity, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, Orientation.oangle_sign_smul_sub_right, DoubleCentralizer.toProdHom_apply, SlashInvariantForm.slash_action_eqn, WeakFEPair.Λ_residue_zero, constFormalMultilinearSeries_zero, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, Real.fourierIntegralInv_eq, HasStrictFDerivAt.continuousMultilinearMap_apply, taylor_within_apply, MeasureTheory.Lp.const_val, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, derivWithin_smul_const, MeasureTheory.integral_smul_measure, isMIntegralCurve_comp_mul_ne_zero, ConformalAt.const_smul, FormalMultilinearSeries.constFormalMultilinearSeries_radius, ContDiffMapSupportedIn.coeHom_injective, Differentiable.smul, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, hasFPowerSeriesAt_iff', Real.fourier_eq', hasMellin_const_smul, deriv_const_smul_field, WeakFEPair.Λ_residue_k, ContDiff.fun_smul, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, Fourier.fourierIntegral_comp_add_right, MeasureTheory.MemLp.toLp_const_smul, coe_algEquiv_lpBCF, Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, MeasureTheory.IntegrableOn.smul_continuousOn_of_subset, integral_comp_pi_polarCoord_symm, Differentiable.star, ModularForm.is_invariant_one, MeasureTheory.Lp.coeFn_star, enorm_indicator_eq_indicator_enorm, sameRay_iff_norm_smul_eq, fderivWithin_comp_sub, DifferentiableWithinAt.smul, ContDiffMapSupportedIn.structureMapLM_apply, derivWithin_const_smul', EuclideanGeometry.reflection_apply, ContDiff.const_smul, Real.fourier_smul_convolution_eq, LeftInvariantDerivation.coeFnAddMonoidHom_apply, hasDerivWithinAt_iff_tendsto, EisensteinSeries.D2_mul, MeasureTheory.integral_countable', isBigO_rpow_zero_log_smul, HasDerivAt.star_conj, hasDerivAt_finCons, HasFDerivAt.smul, CStarAlgebra.exists_sum_four_nonneg, Real.Angle.two_nsmul_eq_iff, MemHolder.smul_iff, hasFPowerSeriesAt_iff, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_le, fderiv_norm_sq_apply, RightDerivMeasurableAux.le_of_mem_A, aestronglyMeasurable_withDensity_iff, Affine.Simplex.points_vsub_eulerPoint, InnerProductGeometry.angle_smul_left_of_pos, MeasureTheory.integrable_indicator_iff, enorm_eq_zero, UpperHalfPlane.IsBoundedAtImInfty.slash, Real.Angle.two_nsmul_toReal_eq_two_mul, MeasureTheory.Measure.integral_comp_div, intervalIntegral.integral_const, const_smul_mfderiv, fderiv_norm_sq, HasMFDerivAt.const_smul, MeasureTheory.condExp_bot_ae_eq, deriv_fun_const_smul', ContDiffMapSupportedIn.structureMapLM_eq, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Orientation.oangle_smul_left_of_pos, HilbertBasis.hasSum_repr_symm, CStarMatrix.norm_def, MeasureTheory.eLpNorm_indicator_const, DifferentiableWithinAt.star, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', hasFDerivWithinAt_comp_add_left, ModularForm.SL_smul_slash, MeasureTheory.Integrable.smul_of_top_right, HasDerivAt.tendsto_slope_zero_right, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, uniformConvexOn_zero, VectorField.lieBracketWithin_const_smul_left, mellin_comp_mul_left, DifferentiableOn.fun_smul, BoundedContinuousFunction.char_mem_charPoly, HasStrictFDerivAt.smul, signedDist_vadd_vadd, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, intervalIntegral.inv_smul_integral_comp_add_div, MeasureTheory.AEEqFun.integrable_zero, Real.Angle.nsmul_eq_iff, MeasureTheory.Integrable.indicator, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, CStarMatrix.inner_toCLM_conjTranspose_right, HasDerivAtFilter.fun_const_smul, EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF, AnalyticWithinAt.smul, iteratedDerivWithin_vcomp_three, mellin_comp_mul_right, MeasureTheory.MemLp.indicator, fderiv_eq_smul_deriv, CStarMatrix.toCLM_apply_single_apply, EuclideanGeometry.angle_const_vadd, MeasureTheory.eLpNorm_nsmul, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge, HasStrictDerivAt.fun_smul, ModularForm.slash_apply, MeasureTheory.average_eq, PadicInt.addChar_of_value_at_one_def, MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOn, MeasureTheory.MemLp.toLp_const, intervalIntegral.smul_integral_comp_add_mul, HasFDerivAt.continuousMultilinearMap_apply, Complex.hasSum_taylorSeries_on_eball, MeasureTheory.Measure.integral_comp_inv_mul_right, Besicovitch.SatelliteConfig.exists_normalized_aux3, MeasureTheory.charFunDual_conv, VectorField.mlieBracket_const_smul_right, EisensteinSeries.G2_T_transform, norm_inner_div_norm_mul_norm_eq_one_iff, HasStrictDerivAt.star, ProbabilityTheory.integral_tilted_mul_eq_cgf, MeasureTheory.Measure.addHaar_smul, MeasureTheory.locallyIntegrableOn_zero, UpperHalfPlane.petersson_slash, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne bridge: BoxIntegral.hasIntegralIndicatorConst
toContinuousENorm 📖	CompOp	99 math math: MeasureTheory.eLpNorm'_sum_le, MeasureTheory.lintegral_enorm_add_right, MeasureTheory.ae_tendsto_enorm, MeasureTheory.eLpNorm_eq_zero_of_ae_zero, intervalIntegrable_iff, MeasureTheory.eLpNorm'_zero', exists_enorm_lt, MeasureTheory.eLpNorm_const_lt_top_iff_enorm, enorm_add₃_le, MeasureTheory.eLpNorm_of_isEmpty, enorm_indicator_le_of_subset, MeasureTheory.eLpNorm_top_piecewise, MeasureTheory.MemLp.zero, MeasureTheory.eLpNormEssSup_zero, IntervalIntegrable.enorm, ENormedAddMonoid.enorm_eq_zero, MeasureTheory.hasFiniteIntegral_zero, MeasureTheory.MemLp.integrable_enorm_pow', indicator_enorm_le_enorm_self, MeasureTheory.Integrable.of_mem_Icc_enorm, MeasureTheory.eLpNorm_restrict_eq_of_support_subset, MeasureTheory.eLpNorm'_measure_zero_of_pos, enorm_add_le, MeasureTheory.eLpNorm_eq_zero_iff, MeasureTheory.MemLp.integrable_enorm_rpow', MeasureTheory.eLpNorm_zero, enorm_indicator_le_enorm_self, MeasureTheory.integrableOn_iff_integrable_of_support_subset, intervalIntegrable_iff_integrableOn_Ioc_of_le, MeasureTheory.VectorMeasure.isSigmaSubadditiveSetFun_enorm, MeasureTheory.IntegrableOn.of_subsingleton_codomain, MeasureTheory.memLp_const_iff_enorm, MeasureTheory.eLpNorm_zero', MeasureTheory.integrable_iff_integrableAtFilter_atBot_atTop, MeasureTheory.integrable_smul_measure, MeasureTheory.integrable_enorm_iff, MeasureTheory.MemLp.integrable_enorm_pow, MeasureTheory.eLpNormEssSup_piecewise, MeasureTheory.eLpNorm'_zero, MeasureTheory.integrable_zero, enorm_add₄_le, MeasureTheory.eLpNorm_indicator_eq_eLpNorm_restrict, MeasureTheory.eLpNorm'_eq_zero_of_ae_zero, MeasureTheory.eLpNorm_const_smul_le', MeasureTheory.eLpNorm_indicator_const_le, MeasureTheory.IntegrableAtFilter.enorm, MeasureTheory.integrable_enorm_rpow_iff, enorm_pos, enorm_zero, MeasureTheory.memLp_indicator_iff_restrict, MeasureTheory.eLpNormEssSup_add_le, MeasureTheory.Integrable.of_subsingleton_codomain, MeasureTheory.MemLp.zero', enorm_zero, MeasureTheory.HasFiniteIntegral.of_subsingleton_codomain, MeasureTheory.eLpNorm'_eq_zero_of_ae_zero', MeasureTheory.exists_Lp_half, MeasureTheory.eLpNorm_indicator_le, MeasureTheory.eLpNorm'_add_le_of_le_one, MeasureTheory.locallyIntegrable_map_homeomorph, MeasureTheory.eLpNorm'_measure_zero_of_neg, MeasureTheory.Integrable.enorm, enorm_tsum_le_tsum_enorm, IntervalIntegrable.def', MeasureTheory.eLpNorm_indicator_const', MeasureTheory.eLpNorm'_eq_zero_iff, MeasureTheory.lintegral_enorm_add_left, enorm_sum_le, MeasureTheory.eLpNorm_add_le, ENormedAddCommMonoid.enorm_eq_zero, MeasureTheory.eLpNorm_indicator_const₀, MeasureTheory.integrableAtFilter_top, MeasureTheory.eLpNorm'_add_le, MeasureTheory.eLpNormEssSup_indicator_const_le, MeasureTheory.integrableOn_zero, MeasureTheory.LocallyIntegrableOn.enorm, MeasureTheory.eLpNorm'_const_smul_le', enorm_add_le, enorm_multisetSum_le, MeasureTheory.eLpNorm'_measure_zero_of_exponent_zero, MeasureTheory.eLpNormEssSup_indicator_le, MeasureTheory.eLpNorm_add_le', MeasureTheory.eLpNormEssSup_eq_zero_iff, MeasureTheory.integrable_average, MeasureTheory.locallyIntegrable_zero, MeasureTheory.MemLp.integrable_enorm_rpow, MeasureTheory.lintegral_enorm_zero, IntervalIntegrable.intervalIntegrable_enorm_iff, MeasureTheory.eLpNormEssSup_indicator_const_eq, MeasureTheory.integrable_inv_smul_measure, MeasureTheory.eLpNorm_sum_le, enorm_indicator_eq_indicator_enorm, MeasureTheory.integrable_indicator_iff, enorm_eq_zero, MeasureTheory.IntegrableAtFilter.sup_iff, MeasureTheory.eLpNorm_indicator_const, MeasureTheory.eLpNormEssSup_const_smul_le', MeasureTheory.AEEqFun.integrable_zero, MeasureTheory.locallyIntegrableOn_zero

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_add_le 📖	mathematical	—	ENNReal Preorder.toLE PartialOrder.toPreorder ENNReal.instPartialOrder ENorm.enorm ContinuousENorm.toENorm toContinuousENorm AddSemigroup.toAdd AddMonoid.toAddSemigroup toAddMonoid Distrib.toAdd NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring CommSemiring.toSemiring ENNReal.instCommSemiring	—	—
enorm_zero 📖	mathematical	—	ENorm.enorm ContinuousENorm.toENorm toContinuousENorm AddMonoid.toZero toAddMonoid ENNReal instZeroENNReal	—	—

ESeminormedCommMonoid

Definitions

Name	Category	Theorems
toCommMonoid 📖	CompOp	3 math math: enorm_prod_le, enorm_prod_le_of_le, enorm_multisetProd_le
toESeminormedMonoid 📖	CompOp	4 math math: enorm_prod_le, mul_comm, enorm_multisetProd_le, ENormedCommMonoid.enorm_eq_zero

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mul_comm 📖	mathematical	—	Semigroup.toMul Monoid.toSemigroup ESeminormedMonoid.toMonoid toESeminormedMonoid	—	—

ESeminormedMonoid

Definitions

Name	Category	Theorems
toContinuousENorm 📖	CompOp	13 math math: exists_enorm_lt', enorm_prod_le, enorm_eq_zero', enorm_zero, enorm_mul₃_le', enorm_mul₄_le', ENormedMonoid.enorm_eq_zero, enorm_one', enorm_mul_le, enorm_pos', enorm_mul_le', enorm_multisetProd_le, ENormedCommMonoid.enorm_eq_zero
toMonoid 📖	CompOp	11 math math: enorm_mul_le_of_le', ESeminormedCommMonoid.mul_comm, enorm_eq_zero', enorm_zero, enorm_mul₃_le', enorm_mul₄_le', ENormedMonoid.enorm_eq_zero, enorm_one', enorm_mul_le, enorm_mul_le', ENormedCommMonoid.enorm_eq_zero

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_mul_le 📖	mathematical	—	ENNReal Preorder.toLE PartialOrder.toPreorder ENNReal.instPartialOrder ENorm.enorm ContinuousENorm.toENorm toContinuousENorm Semigroup.toMul Monoid.toSemigroup toMonoid Distrib.toAdd NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring CommSemiring.toSemiring ENNReal.instCommSemiring	—	—
enorm_zero 📖	mathematical	—	ENorm.enorm ContinuousENorm.toENorm toContinuousENorm Monoid.toOne toMonoid ENNReal instZeroENNReal	—	—

GroupNorm

Definitions

Name	Category	Theorems
toNormedCommGroup 📖	CompOp	—
toNormedGroup 📖	CompOp	—

GroupSeminorm

Definitions

Name	Category	Theorems
toSeminormedCommGroup 📖	CompOp	—
toSeminormedGroup 📖	CompOp	—

NNNorm

Definitions

Name	Category	Theorems
nnnorm 📖	CompOp	571 math math: ContinuousLinearEquiv.antilipschitz, nnnorm_inv, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm', Matrix.frobenius_nnnorm_mul, Complex.nnnorm_exp_I_mul_ofReal, List.nnnorm_prod, IsStarNormal.spectralRadius_eq_nnnorm, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, Orthonormal.nnnorm_eq_one, eq_zero_or_nnnorm_pos, LinearIsometry.nnnorm_toContinuousLinearMap, nnnorm_le_insert', nnnorm_le_nnnorm_add_nnnorm_div', nnnorm_cfcₙ_nnreal_le_iff, pi_nnnorm_lt_iff', nnnorm_zpow_isUnit, Real.nnnorm_deriv_mulExpNegMulSq_le_one, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, WithLp.nnnorm_toLp_inr, OrthonormalBasis.nnnorm_eq_one, Matrix.cstar_nnnorm_def, parallelogram_law_with_nnnorm, ApproximatesLinearOn.lipschitz, pi_nnnorm_le_iff, WithLp.prod_nnnorm_ofLp, ContinuousAlternatingMap.opNNNorm_pi, nnnorm_norm', DoubleCentralizer.nnnorm_def', nnnorm_cfcₙ_lt_iff, ContinuousLinearMap.nnnorm_def, Pi.norm_def', CFC.nnnorm_sqrt, List.nnnorm_prod_le', nnnorm_nsmul_le, Pi.nnnorm_single, edist_zero_left, IsGreatest.nnnorm_cfcₙ, MeasureTheory.Lp.nnnorm_def, nnnorm_sum_le, MulOpposite.nnnorm_unop, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, ContinuousLinearMap.opNNNorm_le_iff, nnnorm_le_add_nnnorm_add, nnnorm_le_mul_nnnorm_add, nndist_midpoint_right, Isometry.nnnorm_map_of_map_one, WithLp.prod_nnnorm_eq_add, nndist_smul₀, Complex.nnnorm_ratCast, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_quasispectrum, nnnorm_le_nnnorm_add_nnnorm_sub, IsUltrametricDist.nnnorm_pow_le, pi_nnnorm_const', ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zero, Matrix.nnnorm_lt_iff, NormedField.exists_lt_nnnorm_lt, Real.nnnorm_exp_I_mul_ofReal_sub_one_le, NormedField.exists_nnnorm_lt_one, DoubleCentralizer.nnnorm_snd, SeparationQuotient.nnnorm_mk', CStarAlgebra.mem_Icc_iff_nnnorm_le_one, nndist_eq_nnnorm_div, nnnorm_le_insert, nnnorm_toMul, PiLp.nnnorm_eq_of_L2, MeasureTheory.MemLp.meas_ge_lt_top, nndist_right_lineMap, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div, nnnorm_algebraMap_nnreal, NonUnitalStarAlgHom.nnnorm_apply_le, ContinuousLinearMap.sSup_sphere_eq_nnnorm, ContinuousAlternatingMap.le_opNNNorm, MeasureTheory.Lp.nnnorm_eq_zero_iff, Complex.reCLM_nnnorm, Unitization.nnnorm_def, Matrix.linfty_opNNNorm_mulVec, nndist_left_lineMap, ediam_smul_le, ApproximatesLinearOn.norm_fderiv_sub_le, IsGreatest.nnnorm_cfc_nnreal, WithLp.nnnorm_seminormedAddCommGroupToProd, coe_nnnorm', MeasureTheory.uniformIntegrable_iff, MeasureTheory.AEStronglyMeasurable.nnnorm, nnnorm_div, nnnorm_one, ContinuousLinearMap.opNNNorm_prod, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, eq_one_or_nnnorm_pos, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, nnnorm_mul_le, Matrix.frobenius_nnnorm_one, PiLp.nnnorm_toLp_one, NormedField.exists_nnnorm_lt, nnnorm_mul₃_le, Matrix.linfty_opNNNorm_eq_opNNNorm, InnerProductSpace.nnnorm_rankOne, pi_nnnorm_lt_iff, BoundedContinuousFunction.lintegral_nnnorm_le, antilipschitzWith_mul_right, UniformSpace.Completion.nnnorm_coe, nndist_smul_le, DoubleCentralizer.nnnorm_def, Quaternion.nnnorm_star, nnnorm_star, nnnorm_cfcₙ_nnreal_lt, nndist_inv_inv₀, CStarAlgebra.nnnorm_le_iff_of_nonneg, NNReal.natCast_natAbs, nnnorm_smul, List.nnnorm_prod_le, nnnorm_le_mul_nnnorm_add', MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, NormedField.denseRange_nnnorm, MeasureTheory.SimpleFunc.nnnorm_approxOn_le, eventually_nnnorm_sub_lt, ContinuousLinearMap.nnnorm_toSpanSingleton, Hamming.nnnorm_eq_hammingNorm, indiscreteTopology_iff_forall_nnnorm_eq_zero, EuclideanSpace.nnnorm_single, BoundedContinuousFunction.nnnorm_def, pi_nnnorm_const, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, infEDist_smul₀, PiLp.nnnorm_toLp_single, nnnorm_zpow_le_mul_norm, Matrix.linfty_opNNNorm_toMatrix, BoundedContinuousFunction.Lp_nnnorm_le, ULift.nnnorm_up, FormalMultilinearSeries.compAlongComposition_nnnorm, ContinuousLinearMap.lipschitz, IsGreatest.nnnorm_cfc, PiLp.nnnorm_toLp_const', selfAdjoint.nnnorm_pow_two_pow, Real.nnnorm_nnratCast, SemilinearMapClass.nnbound_of_continuous, MeasureTheory.Measure.hausdorffMeasure_smul₀, MeasureTheory.lintegral_nnnorm_condExpL2_le, Finset.nnnorm_prod_le', spectrum.gelfand_formula, nndist_vadd_left, LinearIsometryEquiv.nnnorm_map, MeasureTheory.Lp.nnnorm_neg, indiscreteTopology_iff_forall_nnnorm_eq_zero', nnnorm_natAbs, nnnorm_multiset_sum_le, Seminorm.comp_smul, IsGreatest.nnnorm_cfcₙ_nnreal, Matrix.l2_opNNNorm_mulVec, PiLp.nnnorm_apply_le, RCLike.nnnorm_nnratCast, TensorProduct.nnnorm_tmul, AntilipschitzWith.le_mul_nnnorm', ContinuousWithinAt.nnnorm, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, nnnorm_algebraMap, nnnorm_pow, nnnorm_apply_le_nnnorm_cfcₙ, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, ContinuousLinearMap.lipschitz_apply, nnnorm_pow_le, Filter.IsIncreasingApproximateUnit.eventually_nnnorm, Prod.nnnorm_def, MeasureTheory.tendsto_indicator_ge, Complex.ofRealCLM_nnnorm, ContinuousWithinAt.nnnorm', MeasureTheory.MemLp.eLpNormEssSup_indicator_norm_ge_eq_zero, FormalMultilinearSeries.changeOrigin_radius, RCLike.nnnorm_ofNat, MeasureTheory.UniformIntegrable.spec', nnnorm_inv', MeasureTheory.Lp.nnnorm_toLp, TensorProduct.nnnorm_map, WithLp.prod_nnnorm_eq_of_L2, Matrix.l2_opNNNorm_conjTranspose, FormalMultilinearSeries.radius_inv_eq_limsup, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, nndist_left_midpoint, spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius, nnnorm_mul_le', WithLp.prod_nnnorm_eq_of_L1, nnnorm_pos', Inseparable.nnnorm_eq_nnnorm, MeasureTheory.Lp.coe_nnnorm, RingHomIsometric.nnnorm_map, IsUltrametricDist.nnnorm_mul_le_max, IsSelfAdjoint.nnnorm_mul_self, nndist_one_left, toNNReal_enorm, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, ContinuousMap.nnnorm_lt_iff, IsUltrametricDist.nnnorm_add_eq_max_of_nnnorm_ne_nnnorm, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le_of_meas, ContinuousLinearMap.nnnorm_holder_apply_apply_le, infEdist_smul₀, nnnorm_surjective, nndist_midpoint_left, DoubleCentralizer.nnnorm_fst, MeasureTheory.L1.nnnorm_integral_le, nnnorm_neg, Module.Basis.exists_opNNNorm_le, ContinuousLinearMap.isLeast_opNNNorm, ContinuousMap.nnnorm_smul_const, nnnorm_eq_zero', Matrix.nnnorm_replicateRow, BoundedContinuousFunction.nnnorm_const_eq, IsUltrametricDist.nnnorm_add_one_le_max_nnnorm_one, nndist_midpoint_midpoint_le', coe_comp_nnnorm', nndist_center_homothety, ContinuousLinearEquiv.lipschitz, Pi.nnnorm_def', NormedSpace.equicontinuous_TFAE, nnnorm_ofAdd, Matrix.l2_opNNNorm_mul, Pi.sum_nnnorm_apply_le_nnnorm, PiLp.nnnorm_eq_ciSup, pi_nnnorm_le_iff', Matrix.nnnorm_entry_le_entrywise_sup_nnnorm, nnnorm_cfc_le_iff, norm_toNNReal', CStarAlgebra.nnnorm_le_one_iff_of_nonneg, Real.nnnorm_mul_toNNReal, ContinuousMap.nnnorm_lt_iff_of_nonempty, MulOpposite.nnnorm_op, nnnorm_isUnit_zsmul, nnnorm_le_pi_nnnorm, NormedField.exists_one_lt_nnnorm, nnnorm_indicator_eq_indicator_nnnorm, NumberField.canonicalEmbedding.nnnorm_eq, nnnorm_toDual, nnnorm_intCast_abs, ProbabilityTheory.IdentDistrib.nnnorm, Real.nnnorm_two, ContinuousMultilinearMap.isLeast_opNNNorm, Real.toNNReal_mul_nnnorm, nnnorm_zpow_abs, nndist_lineMap_right, edist_smul₀, Pi.norm_def, Matrix.l2_opNNNorm_def, nndist_eq_nnnorm_sub, nnnorm_cfcₙ_nnreal_lt_iff, Pi.sum_nnnorm_apply_le_nnnorm', CStarAlgebra.mem_Icc_algebraMap_iff_nnnorm_le, WithLp.unitization_nnnorm_inr, nnnorm_cfc_nnreal_lt, WithLp.nnnorm_toLp_inl, NonUnitalStarAlgHom.nnnorm_map, MeasureTheory.L1.nnnorm_Integral_le_one, Units.nnnorm_pos, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, enorm_lt_coe, MeasureTheory.hausdorffMeasure_homothety_image, spectralNorm_smul, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius, nnnorm_cfc_nnreal_le, nnnorm_inner_le_nnnorm, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, nnnorm_pow_le_mul_norm, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, Measurable.nnnorm, nnnorm_cfc_nnreal_le_iff, Matrix.frobenius_nnnorm_replicateRow, nndist_mulIndicator, Real.nnnorm_abs, IsPrimitiveRoot.nnnorm_eq_one, enorm_eq_nnnorm, Complex.conjCLE_nnorm, Matrix.frobenius_nnnorm_replicateCol, PiLp.nnnorm_toLp, pi_nnnorm_const_le', DoubleCentralizer.nnnorm_fst_eq_snd, nnnorm_pow_natAbs, nndist_vadd_right, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, Matrix.nnnorm_transpose, nnnorm_zero, Complex.nnnorm_ofNat, nnnorm_units_zsmul, nndist_eq_nnnorm_vsub, WithLp.nnnorm_fst_le, ContinuousMultilinearMap.opNNNorm_prod, Complex.nnnorm_nnratCast, MeasureTheory.nnnorm_indicatorConstLp_le, enorm_le_coe, IsUltrametricDist.nnnorm_nsmul_le, Matrix.frobenius_nnnorm_diagonal, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le, ContinuousOn.nnnorm, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, nnnorm_smul_le, ContinuousOn.nnnorm', ContinuousLinearMap.le_opNNNorm, range_nnnorm, MeasureTheory.hausdorffMeasure_smul_right_image, nnnorm_le_nnnorm_add_nnnorm_div, nnnorm_apply_le_nnnorm_cfc, BoundedContinuousFunction.nnnorm_eq_iSup_nnnorm, IsometricContinuousFunctionalCalculus.spectrum_le, nnnorm_pow_le', MeasureTheory.MemLp.integral_indicator_norm_ge_le, IsSelfAdjoint.spectralRadius_eq_nnnorm, BoundedContinuousFunction.nnnorm_coe_le_nnnorm, nndist_nnnorm_nnnorm_le', nnnorm_eq_zero, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, BoundedContinuousFunction.nnnorm_le, nndist_zero_right, Matrix.nnnorm_conjTranspose, PadicAlgCl.valuation_def, AntilipschitzWith.le_mul_nnnorm, SeparationQuotient.nnnorm_mk, nnnorm_cfcₙHom, ContinuousLinearMap.opNNNorm_mul, CFC.nnnorm_rpow, WithLp.prod_nnnorm_eq_sup, BoundedContinuousFunction.nnnorm_const_le, nnnorm_norm, MeasureTheory.lpNorm_const_smul, nnnorm_fderiv_norm_rpow_le, HasStrictFDerivAt.approximates_deriv_on_open_nhds, TrivSqZeroExt.nnnorm_def, ContinuousMultilinearMap.nnnorm_ofSubsingleton, lipschitzWith_one_nnnorm, ContinuousAlternatingMap.isLeast_opNNNorm, RCLike.nnnorm_conj, apply_le_nnnorm_cfc_nnreal, WithLp.nnnorm_snd_le, uniformContinuous_nnnorm, nnnorm_algebraMap', LipschitzWith.nnorm_le_mul', Complex.nnnorm_natCast, Valued.integer.exists_nnnorm_lt_one, ContinuousLinearMap.nndist_le_opNNNorm, Filter.Tendsto.nnnorm', coe_nnnorm, Matrix.linfty_opNNNorm_mul, ContinuousMultilinearMap.opNNNorm_pi, MemHolder.nnHolderNorm_smul, antilipschitzWith_mul_left, RCLike.nnnorm_two, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousAlternatingMap.nnnorm_toContinuousMultilinearMap, Isometry.nnnorm_map_of_map_zero, ContinuousMap.nnnorm_eq_iSup_nnnorm, NNReal.nnnorm_eq_self, ContinuousLinearMap.opNNNorm_comp_le, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_nnnorm, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, Real.nnnorm_of_nonneg, TrivSqZeroExt.nnnorm_inl, Real.nnnorm_ofNat, MeasureTheory.MemLp.meas_ge_lt_top', Matrix.linfty_opNNNorm_replicateCol, nnnorm_one', Real.toNNReal_eq_nnnorm_of_nonneg, TensorProduct.nnnorm_assoc, Int.nnnorm_coe_units, MeasureTheory.setLIntegral_nnnorm_condExpIndSMul_le, ediam_smul₀, PiLp.nnnorm_eq_of_L1, nnnorm_natAbs_smul, NonUnitalIsometricContinuousFunctionalCalculus.quasispectrum_le, Pi.nnnorm_def, Prod.nnnorm_mk', uniformContinuous_nnnorm', nnnorm_ofMul, Unitization.nnnorm_eq_sup, ContinuousLinearMap.nnnorm_smulRight_apply, MeasureTheory.StronglyMeasurable.nnnorm, ContinuousMultilinearMap.opNNNorm_le_iff, BoundedContinuousFunction.nnnorm_coeFn_eq, NNReal.nnnorm_eq, Complex.nnnorm_exp_ofReal_mul_I, DilationEquiv.smulTorsor_ratio, nnnorm_ofDual, nnnorm_multiset_prod_le, nnnorm_commutator_sub_one_le, WithLp.prod_nnnorm_toLp, AEMeasurable.nnnorm, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le, nnnorm_cfcₙ_le_iff, IsUltrametricDist.nnnorm_intCast_le_one, Continuous.nnnorm, continuous_nnnorm, MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_pos_le, nnnorm_cfc_lt_iff, spectrum.spectralRadius_le_nnnorm, IsUltrametricDist.nnnorm_tprod_le, FormalMultilinearSeries.summable_nnnorm_mul_pow, ContinuousLinearMap.opNNNorm_le_of_lipschitz, Int.abs_le_floor_nnreal_iff, AlternatingMap.measure_def, nnnormHom_apply, MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnder, Int.nnnorm_natCast, Complex.imCLM_nnnorm, Finset.nnnorm_sum_le_sup_nnnorm, IsUltrametricDist.nnnorm_div_eq_max_of_nnnorm_div_ne_nnnorm_div, MeasureTheory.UniformIntegrable.spec, RCLike.nnnorm_nnqsmul, nnnorm_commutator_units_sub_one_le, IsUltrametricDist.nnnorm_natCast_le_one, ContinuousLinearMap.opNNNorm_subsingleton, coe_lt_enorm, Real.nnnorm_natCast, Complex.nnnorm_intCast, LinearIsometry.nnnorm_map, ULift.nnnorm_def, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, Inseparable.nnnorm_eq_nnnorm', nndist_indicator, IsUltrametricDist.nnnorm_zpow_le, StarAlgEquiv.nnnorm_map, nnnorm_cfc_nnreal_lt_iff, coe_comp_nnnorm, nnnorm_le_nnnorm_add_nnnorm_sub', Matrix.nnnorm_diagonal, ContinuousAlternatingMap.nnnorm_ofSubsingleton, TensorProduct.nnnorm_comm, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, nndist_eq_nnnorm, MeasureTheory.Lp.meas_ge_le_mul_pow_enorm, spectrum.le_nnnorm_of_mem, Matrix.l2_opNNNorm_diagonal, Int.toNat_add_toNat_neg_eq_nnnorm, spectrum.exists_nnnorm_eq_spectralRadius, IndiscreteTopology.nnnorm_eq_zero', TrivSqZeroExt.nnnorm_inr, NormedField.denselyOrdered_range_nnnorm, DomMulAct.nnnorm_smul_Lp, PiLp.nnnorm_eq_sum, nnnorm_abs_zsmul, nnnorm_mul, nndist_homothety_center, MeasureTheory.lintegral_nnnorm_condExpIndSMul_le, Polynomial.cauchyBound_X_add_C, CStarAlgebra.inr_mem_Icc_iff_nnnorm_le, Matrix.nnnorm_def, MonotoneOn.nnnorm_cfc, ContinuousLinearMap.nnnorm_id, Matrix.frobenius_nnnorm_def, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zero, Matrix.nnnorm_le_iff, Real.nnnorm_rpow_of_nonneg, ContinuousLinearEquiv.nnnorm_symm_pos, continuous_nnnorm', Complex.nnnorm_I, Finset.nnnorm_prod_le_sup_nnnorm, pi_nnnorm_const_le, Finset.nnnorm_prod_le, EuclideanSpace.nnnorm_eq, RCLike.nnnorm_natCast, nnnorm_map', IsUltrametricDist.nnnorm_mul_eq_max_of_nnnorm_ne_nnnorm, CStarRing.nnnorm_self_mul_star, ContinuousAt.nnnorm, Prod.nnnorm_def', ContinuousLinearMap.nnbound, Polynomial.cauchyBound_X_sub_C, nnnorm_tangentSpace_vectorSpace, nnnorm_cfcHom, nndist_nnnorm_nnnorm_le, nndist_zero_left, SemilinearIsometryClass.nnnorm_map, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id_le, CStarAlgebra.nnnorm_le_nnnorm_of_nonneg_of_le, ContinuousAlternatingMap.nnnorm_constOfIsEmpty, ContinuousAlternatingMap.opNNNorm_le_iff, ContinuousMultilinearMap.nnnorm_smulRight, nnnorm_prod_le, lipschitzWith_one_nnnorm', nnnorm_prod, IndiscreteTopology.nnnorm_eq_zero, Matrix.l2_opNNNorm_conjTranspose_mul_self, TensorProduct.nndist_tmul_le, toReal_coe_nnnorm, PiLp.nnnorm_seminormedAddCommGroupToPi, NormedField.valuation_apply, IsUltrametricDist.nnnorm_sub_eq_max_of_nnnorm_sub_ne_nnnorm_sub, RCLike.nnnorm_nsmul, nnnorm_toAdd, Matrix.linfty_opNNNorm_replicateRow, MeasureTheory.hausdorffMeasure_homothety_preimage, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, edist_one_left, HolderWith.smul, nndist_right_midpoint, PiLp.nnnorm_toLp_const, IsUltrametricDist.isNonarchimedean_nnnorm, Filter.Tendsto.nnnorm, TensorProduct.nnnorm_lid, nnnorm_sub_le, norm_toNNReal, ContinuousMultilinearMap.le_opNNNorm, Matrix.frobenius_nnnorm_transpose, Continuous.nnnorm', Complex.nnnorm_real, nnnorm_cfcₙ_nnreal_le, apply_le_nnnorm_cfcₙ_nnreal, PadicComplex.nnnorm_extends, Complex.nnnorm_eq_one_of_pow_eq_one, nnnorm_zpow, nnnorm_add_le, spectrum.spectralRadius_le_pow_nnnorm_pow_one_div, nnnorm_map, eHolderNorm_smul, ContinuousAlternatingMap.opNNNorm_prod, lipschitzWith_smul, WithLp.unitization_nnnorm_def, edist_smul_le, nnnorm_le_add_nnnorm_add', MonotoneOn.nnnorm_cfcₙ, ContinuousLinearMap.opNNNorm_mul_apply, one_le_nnnorm_one, nndist_self_homothety, Matrix.linfty_opNNNorm_diagonal, edist_indicator, CFC.nnnorm_nnrpow, FormalMultilinearSeries.radius_eq_liminf, DomAddAct.nnnorm_vadd_Lp, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, Matrix.linfty_opNNNorm_def, coe_le_enorm, CStarRing.nnnorm_star_mul_self, IsUltrametricDist.nnnorm_add_le_max, toReal_coe_nnnorm', CStarAlgebra.nnnorm_le_natCast_iff_of_nonneg, nnnorm_pos, NormedField.exists_lt_nnnorm, Prod.nnnorm_mk, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, Matrix.frobenius_nnnorm_conjTranspose, nnnorm_zsmul_le, nndist_homothety_self, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, ContinuousAt.nnnorm', BoundedContinuousFunction.nndist_le_two_nnnorm, CStarAlgebra.le_nnnorm_of_mem_quasispectrum, IsUltrametricDist.nnnorm_zsmul_le, nndist_eq_nnnorm_vsub', NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, Matrix.linfty_opNorm_def, egauge_le_of_smul_mem_of_ne, NumberField.house_eq_sup', PiLp.nnnorm_ofLp, MeasureTheory.Lp.nnnorm_zero, Matrix.norm_eq_sup_sup_nnnorm, Polynomial.IsRoot.norm_lt_cauchyBound, nnnorm_le_pi_nnnorm', HolderWith.smul_iff, MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_le, nnnorm_div_le, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, nndist_lineMap_left, IsUltrametricDist.nnnorm_tsum_le, nndist_one_right, Matrix.nnnorm_replicateCol, IsSelfAdjoint.nnnorm_pow_two_pow, Quaternion.nnnorm_coe, LipschitzWith.nnorm_le_mul, FormalMultilinearSeries.comp_summable_nnreal, Unitization.nnnorm_inr, edist_mulIndicator, measurable_nnnorm, ULift.nnnorm_down
toENorm 📖	CompOp	77 math math: edist_eq_enorm_sub, enorm_mul, enorm'_eq_iff_norm_eq, enorm_sub_le, edist_zero_eq_enorm, enorm_norm', le_egauge_pi, NNReal.enorm_eq, MeasureTheory.Lp.enorm_toLp, NormedField.exists_one_lt_enorm, ofReal_norm', Real.enorm_natCast, enorm_neg, NormedField.exists_lt_enorm, egauge_zero_left, enorm_sub_rev, toReal_enorm', RingHomIsometric.enorm_map, MeasureTheory.edist_indicatorConstLp_eq_enorm, ofReal_norm_eq_enorm', MeasureTheory.enorm_indicatorConstLp_le, enorm'_le_iff_norm_le, MeasureTheory.lintegral_enorm_of_nonneg, toReal_enorm, toNNReal_enorm, enorm_le_iff_norm_le, Pi.enorm_single, MeasureTheory.lintegral_ofReal_le_lintegral_enorm, mem_emetric_ball_one_iff, NormedField.exists_enorm_lt, enorm_inv', edist_one_right, egauge_empty, egauge_zero_left_eq_top, Real.ofReal_le_enorm, NormedField.exists_enorm_lt_one, edist_one_eq_enorm, le_egauge_iff, le_egauge_inter, enorm_one, egauge_union, Real.enorm_eq_ofReal_abs, edist_eq_enorm_div, le_egauge_prod, enorm_lt_coe, mem_eball_one_iff, enorm_eq_nnnorm, Real.enorm_of_nonneg, enorm_le_coe, enorm_lt_top, ofReal_norm_eq_enorm, Complex.enorm_exp_I_mul_ofReal, enorm_div_rev, enorm_norm, egauge_le_of_mem_smul, instENormSMulClass, enorm_div_le, Set.MapsTo.egauge_le, edist_zero_right, coe_lt_enorm, MeasureTheory.Lp.enorm_def, enorm_smul_le, Real.enorm_abs, mem_emetric_ball_zero_iff, MeasureTheory.lintegral_enorm_of_ae_nonneg, ofReal_norm, egauge_anti, egauge_eq_top, enorm_pow, Real.enorm_eq_ofReal, enorm_eq_iff_norm_eq, mem_eball_zero_iff, Complex.enorm_exp_ofReal_mul_I, enorm_inv, egauge_lt_iff, coe_le_enorm, Real.enorm_ofReal_of_nonneg

Norm

Definitions

Name	Category	Theorems
norm 📖	CompOp	2636 math math: List.norm_prod_le, Padic.eq_ratNorm, SchwartzMap.norm_toLp_le_seminorm, Matrix.l2_opNorm_toEuclideanCLM, MeasureTheory.tendstoInMeasure_iff_measureReal_norm, Complex.norm_conj, Matrix.frobenius_norm_replicateCol, norm_eq_zero, norm_eq_of_mem_sphere, InnerProductGeometry.cos_angle_add_of_inner_eq_zero, ZLattice.summable_norm_zpow, CStarRing.norm_mul_coe_unitary, norm_sub_sq_real, BoundedContinuousFunction.tietze_extension_step, Asymptotics.isBigO_norm_norm, MeasureTheory.Integrable.integral_norm_prod_right, norm_smul_le, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, PiLp.norm_toLp_const', MeasureTheory.eLpNorm'_norm, lp.norm_apply_le_norm, ContinuousMultilinearMap.norm_mkPiRing, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, SemiNormedGrp.explicitCokernelDesc_norm_le, IsUltrametricDist.isNonarchimedean_norm, real_inner_div_norm_mul_norm_eq_neg_one_iff, Polynomial.mahlerMeasure_const, Polynomial.mahlerMeasure_def_of_ne_zero, WithLp.norm_fst_le, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm', norm_lt_of_mem_ball', PadicInt.coe_sub, HasDerivAt.le_of_lipschitz, Complex.tendsto_log_nhdsWithin_im_neg_of_re_neg_of_im_zero, Complex.norm_circleTransformBoundingFunction_le, lt_norm_sub_of_not_sameRay, Finset.Nonempty.norm_sum_le_sup'_norm, ContinuousAlternatingMap.opNorm_prod, NormedAddGroupHom.norm_id_of_nontrivial_seminorm, norm_cfcₙHom, NormedCommGroup.tendsto_nhds_nhds, QuotientAddGroup.exists_norm_mk_lt, CStarMatrix.norm_entry_le_norm, HasCompactSupport.convolution_integrand_bound_left, Matrix.linfty_opNorm_diagonal, ContinuousLinearMap.opNorm_prod, Complex.log_re, LinearMap.coe_toSeminorm, lp.isLUB_norm, CStarRing.norm_unitary_smul, LipschitzOnWith.norm_sub_le, ContinuousLinearMap.norm_inr_le_one, IsUltrametricDist.algNormOfAlgEquiv_extends, MeasureTheory.norm_indicatorConstLp_le, tendsto_norm_sub_self_nhdsNE, NumberField.InfinitePlace.norm_embedding_of_isReal, norm_of_subsingleton', Matrix.norm_diagonal, ModularGroup.exists_bound_of_invariant, QuotientGroup.norm_mk, cfcₙ_norm_nonneg, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, norm_star, norm_zsmul, PadicInt.norm_int_lt_one_iff_dvd, LinearIsometry.norm_compContinuousAlternatingMap, ValueDistribution.proximity_zero, CStarAlgebra.mem_Icc_algebraMap_iff_norm_le, dist_midpoint_right, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, CFC.abs_eq_cfc_norm, ZLattice.summable_norm_sub_inv_pow, PadicInt.norm_intCast_eq_padic_norm, Complex.lim_conj, ContinuousLinearMap.exists_preimage_norm_le, GaussianFourier.norm_cexp_neg_mul_sq_add_mul_I, norm_pow_natAbs, NumberField.mixedEmbedding.norm_eq_sup'_normAtPlace, norm_eq_iInf_iff_real_inner_le_zero, Seminorm.norm_sub_map_le_sub, Filter.hasBasis_cobounded_norm', SchwartzMap.norm_le_seminorm, Complex.norm_polarCoord_symm, spectrum.norm_le_norm_of_mem, Complex.norm_sub_eq, PadicInt.mem_subring_iff, ContinuousAlternatingMap.norm_constOfIsEmpty, ContinuousLinearMap.sSup_unit_ball_eq_norm, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, Complex.instIsComplete, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, summable_riemannZetaSummand, PositiveLinearMap.apply_le_of_isSelfAdjoint, Matrix.IsHermitian.det_abs, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, Polynomial.norm_leadingCoeff_eq_one_of_mahlerMeasure_eq_one, PadicInt.coe_zero, Padic.norm_intCast_eq_one_iff, Asymptotics.isLittleO_const_left, Padic.eq_padicNorm, InnerProductGeometry.norm_eq_of_angle_sub_eq_angle_sub_rev_of_angle_ne_pi, MeasureTheory.SimpleFunc.posPart_map_norm, enorm'_eq_iff_norm_eq, NumberField.FinitePlace.mk_apply, Complex.norm_le_abs_re_add_abs_im, Complex.exists_mem_frontier_isMaxOn_norm, spectrum.subset_closedBall_norm_mul, norm_jacobiTheta₂_term_le, NormedAddGroup.dist_eq, RightDerivMeasurableAux.norm_sub_le_of_mem_A, InnerProductSpace.Core.inner_mul_inner_self_le, BoundedContinuousFunction.norm_compContinuous_le, Complex.isTheta_cpow_rpow, Polynomial.mahlerMeasure_eq_leadingCoeff_mul_prod_roots, IsSelfAdjoint.norm_mul_self, norm_jacobiTheta₂_term_fderiv_ge, norm_add_eq_iff_real, NormedAddGroupHom.norm_comp_le, ContinuousLinearMap.norm_inl_le_one, MeasureTheory.norm_condExpL2_le, contDiffAt_norm_smul_iff, mem_sphere_iff_norm', Complex.norm_mul_self_eq_normSq, norm_iteratedFDerivWithin_smul_le, IsLprojection.Lnorm, ContinuousMultilinearMap.norm_map_snoc_le, NumberField.InfinitePlace.le_iff_le, Padic.withValUniformEquiv_norm_le_one_iff, NumberField.norm_norm_le_norm_mul_house_pow, inseparable_one_iff_norm, Valued.toNormedField.norm_le_one_iff, Orthonormal.norm_eq_one, countingFunction_finsum_eq_finsum_add, NormedCommGroup.cauchySeq_iff, dist_smul_le, norm_natCast_eq_mul_norm_one, ContinuousLinearMap.isBigOWith_sub, Orientation.eq_iff_norm_eq_and_oangle_eq_zero, ContinuousMap.attachBound_apply_coe, StarAlgEquiv.norm_map, SeminormedGroup.disjoint_nhds, Matrix.l2_opNorm_mulVec, norm_iteratedFDerivWithin_one, Polynomial.exists_eq_supNorm, MeasureTheory.L1.norm_setToL1_le, norm_pos_iff, AddSubgroup.norm_normedMk_le, isBounded_iff_forall_norm_le', Submodule.re_inner_starProjection_eq_normSq, RCLike.conjCLE_norm, CStarAlgebra.inr_mem_Icc_iff_norm_le, Matrix.norm_def, Orientation.sin_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, dist_partial_sum, QuotientGroup.norm_mk_eq_zero, LinearMap.polar_eq_iInter, Real.posLog_norm_add_le, InnerProductGeometry.angle_sub_eq_arccos_of_inner_eq_zero, NormedCommGroup.nhds_one_basis_norm_lt, PiLp.norm_toLp_one, eventually_cobounded_le_norm, PiLp.norm_ofLp, real_inner_smul_self_left, norm_iteratedFDeriv_mul_le, norm_cfc_lt_iff, RCLike.norm_I_of_ne_zero, ContinuousLinearMap.norm_compLp_le, measurable_norm, lp.norm_eq_zero_iff, norm_smul_inv_norm', nnnorm_norm', Polynomial.logMahlerMeasure_C_mul, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, SeparationQuotient.norm_liftNormedAddGroupHom_apply_le, Orientation.areaForm_le, MeasureTheory.isTightMeasureSet_iff_inner_tendsto, diam_smul₀, Asymptotics.IsBigO.norm_left, PadicInt.norm_intCast_lt_one_iff, DifferentiableWithinAt.norm, LinearIsometry.norm_map, RCLike.norm_expect_le, MeasureTheory.integral_mul_norm_le_Lp_mul_Lq, EisensteinSeries.summand_bound_of_mem_verticalStrip, CFC.abs_eq_cfcₙ_coe_norm, MeasureTheory.norm_setToFun_le_mul_norm', InnerProductGeometry.sin_angle, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, MeasureTheory.Integrable.norm_integral_condExpKernel, MeasureTheory.norm_indicatorConstLp, norm_iteratedFDerivWithin_clm_apply, GaussianFourier.integral_cexp_neg_mul_sq_norm, inner_eq_norm_mul_iff, MeasureTheory.Integrable.measure_norm_ge_lt_top, NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isComplex, closure_one_eq, dist_left_midpoint, Function.Periodic.norm_qParam_le_of_one_half_le_im, NormedSpace.image_isVonNBounded_iff, Asymptotics.isBigOWith_norm_right, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, EuclideanSpace.norm_sq_eq, WithLp.prod_norm_eq_idemFst_of_L1, FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius, NormedRing.inverse_add_norm_diff_nth_order, Real.norm_two, ContinuousLinearMap.norm_compContinuousMultilinearMap_le, Complex.arg_of_re_nonneg, Pi.norm_def', IsUltrametricDist.norm_intCast_le_one, MeasureTheory.L1.ofReal_norm_eq_lintegral, norm_abs_sub_abs, ContinuousMap.dist_le_two_norm, NormedAddGroupHom.NormNoninc.normNoninc_iff_norm_le_one, GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpace, ContinuousMap.norm_le, NormedAddGroupHom.norm_id_le, NumberField.mixedEmbedding.norm_le_convexBodySumFun, dist_mul_self_left, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, ContDiffPointwiseHolderAt.isBigO, PadicInt.norm_mahlerTerm, CStarAlgebra.norm_or_neg_norm_mem_spectrum, NumberField.FinitePlace.norm_def', SchwartzMap.decay', Complex.ofRealCLM_norm, MulAlgebraNorm.extends_norm', OrderedFinpartition.norm_compAlongOrderedFinpartition_le, not_differentiableAt_norm_zero, ContinuousLinearMap.opNorm_lsmul_apply_le, IsUltrametricDist.norm_add_one_le_max_norm_one, ContinuousMap.norm_coe_le_norm, Polynomial.one_le_prod_max_one_norm_roots, NormedAddGroupHom.opNorm_le_of_lipschitz, dist_eq_norm, Complex.norm_eq_one_iff', CocompactMapClass.norm_le, OrderedFinpartition.norm_applyOrderedFinpartition_le, IsCompact.exists_bound_of_continuousOn', Submodule.starProjection_singleton, HasSolidNorm.solid, isUltrametricDist_iff_forall_norm_natCast_le_one, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, PadicInt.nonarchimedean, exist_norm_eq, tendsto_norm_nhdsNE_one, InnerProductGeometry.norm_div_cos_angle_sub_of_inner_eq_zero, QuotientAddGroup.le_norm_iff, EisensteinSeries.abs_le_right_of_norm, Module.Basis.exists_opNorm_le, norm_ofAdd, fourierIntegral_gaussian_innerProductSpace', Matrix.linfty_opNorm_replicateRow, QuotientAddGroup.norm_mk_eq_zero_iff_mem_closure, Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, PadicInt.norm_p_pow, mem_ball_iff_norm'', Differentiable.fderiv_norm_rpow, FDerivMeasurableAux.le_of_mem_A, ContinuousLinearMap.isBigOWith_id, mulRight_bound, CStarAlgebra.mem_Icc_iff_norm_le_one, Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two, norm_add_pow_two_real, PadicInt.coe_eq_zero, InnerProductSpace.gramSchmidtNormed_unit_length_coe, PadicInt.padic_norm_e_of_padicInt, enorm_norm', BoundedContinuousFunction.coe_normComp, mem_ball_one_iff, GaussianFourier.integral_cexp_neg_mul_sq_norm_add, norm_cexp_neg_mul_sq, norm_smul, PadicComplex.norm_def, norm_nonneg', NormedAddCommGroup.norm_toCompl, MeasureTheory.MemLp.integrable_norm_rpow', ContinuousMultilinearMap.opNorm_zero_iff, RCLike.abs_im_div_norm_le_one, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, comap_norm_atTop', norm_sub_mul_self, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, WithCStarModule.prod_norm_sq, norm_le_norm_add_const_of_dist_le, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, Real.norm_exp_I_mul_ofReal_sub_one_le, MeasureTheory.hasFiniteIntegral_prod_iff', HasFDerivAt.le_of_lipschitzOn, PiTensorProduct.projectiveSeminormAux_smul, MeasureTheory.MemLp.norm_rpow, lp.sum_rpow_le_norm_rpow, Asymptotics.IsBigOWith.const_smul_self, MeasureTheory.norm_indicatorConstLp_top, norm_cfc_le_iff, RCLike.mul_conj, RCLike.norm_conj, PadicInt.coe_sum, inner_lt_norm_mul_iff_real, lp.norm_sum_single, smul_unitClosedBall, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, entry_norm_bound_of_unitary, ContinuousLinearMap.opNorm_mul_flip_apply, dist_le_norm_add_norm, CStarAlgebra.norm_le_natCast_iff_of_nonneg, NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le, norm_iteratedFDeriv_clm_apply, circleAverage_log_norm_sub_const_of_mem_closedBall, LinearIsometryEquiv.norm_map, ContinuousAlternatingMap.norm_def, PadicInt.norm_units, dist_eq_norm_sub, CStarRing.norm_of_mem_unitary, Complex.norm_cos_add_sin_mul_I, Function.Periodic.norm_qParam_lt_iff, difference_quotients_converge_uniformly, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.norm_extendTo𝕜, InnerProductGeometry.tan_angle_sub_mul_norm_of_inner_eq_zero, HasFDerivAt.norm_sq, tendsto_norm_div_self, PiLp.norm_toLp_single, AlgebraNorm.extends_norm, Complex.norm_pow, IsUltrametricDist.exists_norm_multiset_prod_le, norm_ofMul, eventually_nhds_norm_smul_sub_lt, AEMeasurable.norm, mem_closedBall_iff_norm'', NumberField.InfinitePlace.Completion.norm_coe, PointwiseConvergenceCLM.tendsto_nhds, norm_pow, Asymptotics.IsBigOWith_def, Real.integrable_prod_sub, OrthogonalFamily.norm_sq_diff_sum, DirichletCharacter.norm_LSeries_product_ge_one, PadicAlgCl.isNonarchimedean, norm_smul_inv_norm, Orientation.norm_div_cos_oangle_add_left_of_oangle_eq_pi_div_two, OrthonormalBasis.sum_sq_inner_right, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, LinearMap.polar_singleton, MulOpposite.norm_unop, Orientation.oangle_add_right_eq_arcsin_of_oangle_eq_pi_div_two, SemilinearIsometryEquivClass.norm_map, Complex.isCauSeq_conj, norm_div_le, Asymptotics.isBigO_iff_div_isBoundedUnder, Submodule.reflection_singleton_apply, Multipliable.norm, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, ContinuousMap.toLp_norm_le, parallelogram_law_with_norm, ContinuousMultilinearMap.norm_smulRightL_le, comap_norm_nhdsGT_zero, norm_le_norm_add_norm_sub', List.norm_prod_le', integrableOn_Ioi_norm_cpow_of_lt, Complex.integral_rpow_mul_exp_neg_rpow, Asymptotics.isBigO_norm_right, Complex.exp_def, IsBoundedBilinearMap.isBigO_comp, RCLike.abs_re_le_norm, ContinuousMultilinearMap.norm_mkPiAlgebra_le, ball_zero_eq, RCLike.reCLM_norm, Seminorm.bound_of_continuous_normedSpace, Complex.volume_sum_rpow_le, norm_zpow_isUnit, dist_inv_inv₀, enorm_fderiv_norm_rpow_le, tendsto_norm_inv_nhdsNE_zero_atTop, formalMultilinearSeries_geometric_apply_norm_le, NormedField.norm_mul, norm_le_add_norm_add, Padic.norm_int_le_one, norm_pow_le_mul_norm, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, Orientation.oangle_sub_right_eq_arccos_of_oangle_eq_pi_div_two, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, RCLike.norm_sq_eq_def_ax, InnerProductGeometry.sin_angle_div_norm_eq_sin_angle_div_norm, MeromorphicOn.extract_zeros_poles_log, norm_iteratedFDerivWithin_zero, SemilinearMapClass.bound_of_continuous, fourier_gaussian_innerProductSpace, Matrix.norm_entry_le_entrywise_sup_norm, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, norm_add₃_le, CStarRing.norm_mul_self_le, inner_self_eq_norm_sq_to_K, norm_multiset_sum_le, fourier_norm, ContinuousLinearMap.opNorm_mul, AlgebraNormClass.map_smul_eq_mul, MeasureTheory.memLp_two_iff_integrable_sq_norm, RCLike.norm_ofReal, sameRay_iff_inv_norm_smul_eq_of_ne, comap_norm_nhds_zero, abs_lt_norm_sub_of_not_sameRay, inner_mul_inner_self_le, NumberField.mixedEmbedding.convexBodySumFun_apply', ContinuousLinearMap.norm_fst_le, CStarModule.norm_nonneg, MeasureTheory.integrable_norm_rpow_iff, AntilipschitzWith.le_mul_norm, IsUltrametricDist.norm_tsum_le, MeasureTheory.MemLp.exists_boundedContinuous_integral_rpow_sub_le, Polynomial.logMahlerMeasure_of_degree_eq_one, DoubleCentralizer.norm_fst_eq_snd, norm_sub_pow_two_real, EuclideanSpace.norm_single, MeasureTheory.integral_norm_eq_lintegral_enorm, ContinuousLinearMap.le_opNorm, IsUltrametricDist.invariantExtension_extends, QuotientGroup.norm_mk_eq_zero_iff_mem_closure, WithLp.prod_norm_toLp, InnerProductSpace.Core.norm_eq_sqrt_re_inner, PadicInt.norm_lt_one_iff_dvd, HurwitzKernelBounds.f_le_g_nat, norm_le_norm_add_norm_sub, Pi.sum_norm_apply_le_norm', DoubleCentralizer.norm_def', MeasureTheory.norm_setIntegral_le_of_norm_le_const_ae', ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, CStarMatrix.norm_def', RCLike.abs_re_div_norm_le_one, MeasureTheory.eLpNorm_norm, norm_sub_le_mul_volume_of_norm_lineDeriv_le, Real.norm_deriv_mulExpNegMulSq_le_one, norm_sub_sq, ContinuousMap.norm_le_of_nonempty, uniformContinuous_norm, WithLp.prod_norm_eq_of_nat, NumberField.mixedEmbedding.normAtPlace_apply_of_isReal, stereoInvFunAux_apply, lp.norm_rpow_eq_tsum, Complex.norm_dslope_le_div_of_mapsTo_ball, PadicInt.algebraMap_apply, ContinuousAffineMap.norm_def, circleAverage_log_norm_sub_const_eq_log_radius_add_posLog, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, integrable_one_add_norm, ContinuousLinearMap.norm_iteratedFDerivWithin_comp_left, coe_nnnorm', NormedAddGroupHom.IsQuotient.norm_le, spectrum.norm_le_norm_mul_of_mem, entrywise_sup_norm_bound_of_unitary, LindemannWeierstrass.exp_polynomial_approx, Real.norm_natCast, DirichletCharacter.norm_le_one, norm_iteratedFDerivWithin_clm_apply_const, NumberField.FinitePlace.norm_embedding_eq, set_smul_sphere_zero, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, IsBoundedBilinearMap.isBigO', ofReal_norm', IsUltrametricDist.norm_tprod_le, AddSubgroup.norm_trivial_quotient_mk, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, Complex.mul_conj', norm_algebraMap_nnreal, LipschitzWith.norm_div_le, InnerProductGeometry.tan_angle_add_mul_norm_of_inner_eq_zero, norm_toAdd, DoubleCentralizer.norm_def, Asymptotics.isBigOWith_self_const_mul', Asymptotics.isLittleO_iff_nat_mul_le, re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, AddCircle.norm_div_natCast, abs_real_inner_le_norm, PositiveLinearMap.preGNS_norm_def, norm_indicator_eq_indicator_norm, Complex.arg_of_re_neg_of_im_nonneg, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_norm, ZLattice.tsum_norm_rpow_le, smul_closedBall', mem_closedBall_iff_norm', SchwartzMap.integral_norm_sq_fourier, norm_add_eq_sqrt_iff_real_inner_eq_zero, NumberField.exists_conjugate_one_le_norm, NumberField.InfinitePlace.norm_embedding_eq, norm_lineDeriv_le_of_lipschitz, re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, NormedField.exists_norm_lt_one, NormedAddCommGroup.dist_eq, ZeroAtInftyContinuousMapClass.norm_le, SameRay.norm_sub, ContinuousMultilinearMap.curryRight_norm, InnerProductGeometry.sin_angle_mul_norm_eq_sin_angle_mul_norm, norm_indicator_le_of_subset, deriv_norm_ofReal_cpow, norm_sub_le, Asymptotics.isBigO_iff, MeasureTheory.Integrable.integral_norm_condDistrib_map, isBigO_norm_Icc_restrict_atTop, MeasureTheory.Lp.norm_zero, NonUnitalSeminormedRing.norm_mul_le, NormedAddGroupHom.norm_completion, dist_eq_norm_div', MeasureTheory.L1.norm_def, norm_one', norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero, SeparationQuotient.norm_normedMk_eq_one, norm_le_of_mem_closedBall, LinearEquiv.toSpanNonzeroSingleton_homothety, SeparationQuotient.norm_normedMk_le, norm_circleMap_zero, FormalMultilinearSeries.norm_apply_eq_norm_coef, tendsto_norm_sub_self, SameRay.inv_norm_smul_eq, NormedField.denselyOrdered_range_norm, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, ModularGroup.exists_bound_of_subgroup_invariant_of_isBigO, ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le, norm_pow_le, Complex.arg_of_im_pos, norm_map', MeasureTheory.tendstoInMeasure_iff_norm, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding, norm_pos_iff', AntilipschitzWith.le_mul_norm', Seminorm.ball_norm_mul_subset, DirichletCharacter.unit_norm_eq_one, Padic.norm_eq_zpow_log_mulValuation, Valued.integer.exists_norm_lt_one, UpperHalfPlane.isBoundedAtImInfty_iff, ContinuousMap.norm_eq_iSup_norm, ContinuousMultilinearMap.opNorm_smul_le, Asymptotics.div_isBoundedUnder_of_isBigO, norm_injOn_ray_right, integrableOn_Ioi_norm_cpow_iff, ContinuousMultilinearMap.norm_restr, antilipschitzWith_iff_exists_mul_le_norm', ContinuousMultilinearMap.norm_image_sub_le, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, LinearIsometry.norm_toContinuousLinearMap, Complex.norm_natCast, MeasureTheory.Integrable.norm_toL1, ae_differentiableAt_norm, ContinuousLinearMap.norm_toSpanSingleton, InnerProductSpace.Core.norm_inner_symm, norm_ofDual, Submodule.norm_eq_iInf_iff_inner_eq_zero, mem_closure_one_iff_norm, lp.summable_mul, Unitary.norm_sub_one_lt_two_iff, IsDedekindDomain.HeightOneSpectrum.equivHeightOneSpectrum_symm_apply, toReal_enorm', NormedRing.toRingNorm_toFun, indiscreteTopology_iff_forall_norm_eq_zero, NormedSpace.norm_expSeries_summable, RCLike.norm_ofNat, UniformConvexSpace.uniform_convex, IsGreatest.norm_cfcₙ, ModularGroup.exists_bound_of_subgroup_invariant, norm_inner_eq_norm_iff, Complex.norm_exp_I_mul_ofReal_sub_one, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, CuspFormClass.petersson_bounded_left, add_mem_ball_iff_norm, norm_zero, dist_self_sub_right, inner_eq_norm_mul_iff_div, normHom_apply, Function.hasTemperateGrowth_iff_isBigO, Complex.sq_norm_sub_sq_re, Complex.abs_re_eq_norm, HasDerivWithinAt.norm_sq, Complex.norm_add_eq, Complex.norm_cpow_of_ne_zero, InnerProductGeometry.norm_toLp_symm_crossProduct, QuotientAddGroup.norm_lt_iff, Orientation.tan_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, memℓp_gen_iff, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, PadicInt.norm_natCast_zmodRepr_eq_one_iff_ne, coe_normGroupNorm, Complex.im_le_norm, Complex.norm_ofReal_cpow_eventually_eq_atTop, Asymptotics.bound_of_isBigO_cofinite, MeasureTheory.MemLp.integrable_norm_pow, Complex.integral_exp_neg_rpow, Asymptotics.isLittleO_norm_right, PadicAlgCl.norm_extends, Complex.norm_mul_cos_arg, NormedSpace.inclusionInDoubleDual_norm_eq, Complex.sq_norm, MeasureTheory.SimpleFunc.exists_forall_norm_le, PiTensorProduct.projectiveSeminorm_tprod_le, mem_closedBall_iff_norm, MeasureTheory.Integrable.norm_integral_condDistrib, Complex.exists_norm_eq_mul_self, has_fderiv_at_filter_real_equiv, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, indicator_norm_le_norm_self, InnerProductGeometry.norm_add_eq_add_norm_of_angle_eq_zero, Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, tendsto_norm_div_self_nhdsNE, AddCircle.exists_norm_nsmul_le, ContinuousAlternatingMap.norm_restrictScalars, PadicInt.mk_coe, Polynomial.logMahlerMeasure_X_sub_C, IsGreatest.norm_cfc, IsSelfAdjoint.neg_algebraMap_norm_le_self, QuotientAddGroup.norm_eq_infDist, gauge_norm_smul, MeasureTheory.Integrable.integral_norm_comp, InnerProductSpace.Core.cauchy_schwarz_aux, ContinuousLinearMap.opNorm_mul_apply, ContinuousLinearMap.norm_smulRightL, Asymptotics.IsBigOWith.const_smul_left, Asymptotics.IsLittleO.bound, convexOn_univ_norm, ZLattice.tsumNormRPowBound_spec, tendsto_norm_div_self_nhdsGE, MeasureTheory.lpNorm_one_eq_integral_norm, Valued.integer.norm_irreducible_lt_one, EisensteinSeries.summable_norm_eisSummand, RCLike.conj_mul, MeasureTheory.norm_condExpL2_coe_le, ContinuousMultilinearMap.curryLeft_norm, lp.norm_const_smul, AkraBazziRecurrence.GrowsPolynomially.norm, ofReal_norm_eq_enorm', NormedAlgebra.exists_isMinOn_norm_sub_smul, NormedDivisionRing.dist_eq, SeminormedAddCommGroup.dist_eq, WithCStarModule.prod_norm_le_norm_add, ContinuousLinearMap.exists_approx_preimage_norm_le, ContinuousMultilinearMap.uncurry0_norm, BoundedContinuousFunction.bddAbove_range_norm_comp, Complex.norm_cpow_of_imp, ContinuousMultilinearMap.le_opNorm, cauchySeq_finset_iff_vanishing_norm, Asymptotics.isBigOWith_norm_norm, SchwartzMap.norm_fourier_toL2_eq, norm_cauchyPowerSeries_le, norm_le_add_norm_add', AddGroupNormClass.toNormedAddGroup_norm_eq, hasFDerivAt_norm_rpow, NormSMulClass.norm_smul, HasFPowerSeriesOnBall.uniform_geometric_approx, unitary.norm_sub_eq, norm_sub_le_mul_volume_of_norm_deriv_le_of_le, ball_eq, MeasureTheory.Lp.norm_toLp, QuotientGroup.nhds_one_hasBasis, AddCircle.norm_coe_mul, Complex.norm_eq_one_iff, TrivSqZeroExt.norm_def, fourier_gaussian_innerProductSpace', norm_smul_of_nonneg, dist_eq_norm', InnerProductGeometry.cos_angle, Filter.IsIncreasingApproximateUnit.eventually_norm, dist_lineMap_left, OrthonormalBasis.norm_eq_one, PadicInt.norm_eq_zpow_neg_valuation, ContinuousAlternatingMap.le_opNorm, norm_natCast, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, Asymptotics.isBigO_top, circleIntegrable_posLog_norm_meromorphicOn, eq_zero_or_norm_pos, Matrix.frobenius_norm_conjTranspose, UpperHalfPlane.norm_σ, Orientation.cos_oangle_sub_right_of_oangle_eq_pi_div_two, norm_commutator_sub_one_le, realPart.norm_le, InnerProductGeometry.angle_add_eq_arctan_of_inner_eq_zero, Real.tendsto_integral_gaussian_smul', exists_seq_norm_le_one_le_norm_sub, smul_sphere', AddCircle.norm_half_period_eq, ContinuousOn.norm', norm_jacobiTheta₂_term, Padic.norm_natCast_lt_one_iff, real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, eq_one_or_norm_pos, ContDiff.norm_rpow, CStarRing.norm_star_mul_self', MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, norm_map, NormedAddCommGroup.cauchySeq_iff, Complex.polarCoord_apply, LinearIsometry.norm_compContinuousMultilinearMap, IsUltrametricDist.exists_norm_finset_prod_le, NormOneClass.norm_one, ContinuousAlternatingMap.norm_curryLeft, InnerProductGeometry.cos_angle_mul_norm_mul_norm, integrable_rpow_neg_one_add_norm_sq, Submodule.norm_sq_eq_add_norm_sq_starProjection, SeminormedAddGroup.disjoint_nhds_zero, RCLike.re_eq_norm_of_mul_conj, MeasureTheory.norm_integral_le_integral_norm, ValueDistribution.characteristic_sub_characteristic_inv_of_ne_zero, Complex.abs_im_le_norm, ContinuousMultilinearMap.isLeast_opNorm, Complex.cpow_ofReal_re, IsUltrametricDist.exists_norm_finset_prod_le_of_nonempty, WithCStarModule.norm_apply_le_norm, Padic.norm_p_pow, MultilinearMap.exists_bound_of_continuous, real_inner_div_norm_mul_norm_eq_one_iff, Asymptotics.isBigO_nat_atTop_iff, Padic.norm_p_lt_one, PadicInt.norm_ascPochhammer_le, QuotientAddGroup.norm_mk, Quaternion.expSeries_odd_of_imaginary, pi_norm_le_iff_of_nonneg, norm_mul₃_le, Asymptotics.isBigO_one_iff, SchwartzMap.norm_fourierTransformCLM_toL2_eq, NormedCommGroup.uniformity_basis_dist, NormedSpace.norm_expSeries_summable_of_mem_ball', tendsto_pow_atTop_nhds_zero_iff_norm_lt_one, MeasureTheory.Lp.norm_neg, Continuous.norm', Complex.norm_nnratCast, TensorProduct.norm_comm, NormedSpace.inclusionInDoubleDual_norm_le, NonUnitalSeminormedRing.dist_eq, BoundedContinuousFunction.norm_toContinuousMap_eq, Complex.norm_add_eq_iff, NumberField.InfinitePlace.map_ratCast, Affine.Simplex.signedInfDist_apply_self, norm_le_insert', Behrend.norm_of_mem_sphere, NormedCommGroup.dist_eq, InnerProductGeometry.sin_angle_sub_of_inner_eq_zero, Polynomial.logMahlerMeasure_X_add_C, CStarAlgebra.norm_posPart_le, ContinuousLinearMap.norm_map_of_mem_unitary, norm_sub_eq_sqrt_iff_real_inner_eq_zero, ball_one_eq, ContinuousAffineMap.norm_eq, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, dist_right_midpoint, Complex.equivRealProd_apply_le', memℓp_infty_iff, norm_le_norm_add_norm_div', Int.norm_natCast, Complex.sq_norm_sub_sq_im, OrthonormalBasis.sum_sq_norm_inner_right, CStarModule.norm_eq_sqrt_norm_inner_self, LSeriesSummable.le_const_mul_rpow, ContinuousLinearMap.ratio_le_opNorm, Orientation.cos_oangle_add_left_of_oangle_eq_pi_div_two, dist_center_homothety, Seminorm.smul', norm_sub_norm_le', Complex.normSq_eq_norm_sq, MeasureTheory.Integrable.integral_norm_prod_left, BoundedContinuousFunction.norm_eq, ValueDistribution.characteristic_sub_characteristic_inv_at_zero, eventually_norm_sub_lt, SchwartzMap.norm_iteratedFDeriv_le_seminorm, AlgHom.norm_apply_le_self, Submodule.norm_orthogonalProjection_apply_le, PadicInt.coe_adicCompletionIntegersEquiv_symm_apply, TensorProduct.norm_assoc, Complex.abs_im_eq_norm, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, lp.norm_nonneg', Asymptotics.IsBigOWith.norm_left, norm_fderiv_le_of_lipschitz, Complex.norm_cpow_real, enorm'_le_iff_norm_le, MeasureTheory.integral_norm_le_of_forall_fin_meas_integral_eq, Orthonormal.inner_products_summable, Asymptotics.IsBigOWith.norm_norm, MeasureTheory.Lp.dist_eq_norm, norm_exp_mul_sq_le, Subgroup.coe_norm, lipschitzWith_one_norm', Real.abs_mulExpNegMulSq_comp_le_norm, norm_eq_zero', ContinuousMultilinearMap.opNorm_nonneg, Matrix.l2_opNorm_diagonal, Complex.isBigO_cpow_rpow, MeasureTheory.Integrable.integral_norm_condExpKernel, norm_sum_neg_one_pow_le, HurwitzKernelBounds.F_nat_one_le, Matrix.l2_opNorm_conjTranspose_mul_self, Asymptotics.IsBigOWith.pow', ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, exists_norm_eq, Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, Complex.norm_exp_sub_sum_le_norm_mul_exp, WithLp.prod_norm_ofLp, ContinuousWithinAt.norm, MeasureTheory.SimpleFunc.norm_approxOn_y₀_le, Polynomial.le_supNorm, norm_snd_le, inv_norm_smul_mem_unitClosedBall, Polynomial.intervalIntegrable_mahlerMeasure, WithLp.prod_norm_eq_idemFst_sup_idemSnd, lipschitzOnWith_iff_norm_div_le, Complex.HadamardThreeLines.norm_invInterpStrip, dist_eq_norm_vsub', Submodule.norm_eq_iInf_iff_real_inner_eq_zero, Filter.Tendsto.norm, SemiNormedGrp.completion.norm_incl_eq, FormalMultilinearSeries.compAlongComposition_bound, AlternatingMap.exists_bound_of_continuous, toReal_enorm, norm_sub_eq_zero_iff, HasCompactSupport.exists_bound_of_continuous, inner_eq_sum_norm_sq_div_four, WithLp.prod_norm_eq_add, MeasureTheory.norm_setToFun_le', norm_le_pi_norm, Matrix.norm_le_iff, AlgebraNorm.smul', IsUltrametricDist.exists_norm_multiset_sum_le, controlled_sum_of_mem_closure_range, MeasureTheory.Lp.norm_const_le, BoundedContinuousFunction.norm_le, NumberField.FinitePlace.norm_lt_one_iff_mem, Complex.imCLM_norm, SeminormedSpace.Core.norm_triangle, Quaternion.norm_coe, NormMulClass.isAbsoluteValue_norm, RCLike.exists_norm_eq_mul_self, Complex.continuousOn_norm_circleTransformBoundingFunction, le_rpow_one_add_norm_iff_norm_le, Matrix.frobenius_norm_def, ContinuousAffineMap.norm_contLinear_le, gauge_ball, Function.Periodic.im_invQParam, ULift.norm_up, InnerProductSpace.Core.inner_self_eq_norm_mul_norm, VitaliFamily.ae_tendsto_average_norm_sub, UpperHalfPlane.norm_exp_two_pi_I_lt_one, ContinuousAlternatingMap.norm_ofSubsingleton, Complex.arg_of_re_neg_of_im_neg, PiLp.norm_eq_sum, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, mul_gauge_le_norm, norm_add_le, Finset.norm_prod_one_add_sub_one_le, circleIntegrable_log_norm_factorizedRational, norm_abs_zsmul, Complex.isCauSeq_norm_exp, PiTensorProduct.norm_eval_le_injectiveSeminorm, Bornology.IsBounded.exists_pos_norm_lt', comap_norm_nhdsGT_zero', ContinuousLinearMap.norm_smulRight_apply, Orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two, norm_deriv_le_of_lipschitzOn, Polynomial.mahlerMeasure_C_mul_X_add_C, PadicInt.coe_one, Complex.tendsto_norm_tan_atTop, Orientation.tan_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', ContDiffWithinAt.norm_sq, Function.hasTemperateGrowth_norm_sq, norm_multiset_prod_le, BoundedContinuousFunction.exists_norm_eq_restrict_eq_of_closed, UniformSpace.Completion.norm_toComplL, IsUltrametricDist.norm_mul_eq_max_of_norm_ne_norm, BoundedContinuousFunction.neg_norm_le_apply, summable_iff_vanishing_norm, AddSubgroup.norm_coe, indiscreteTopology_iff_forall_norm_eq_zero', Filter.HasBasis.cobounded_of_norm', AffineIsometryEquiv.dist_pointReflection_self, ContinuousMultilinearMap.norm_map_init_le, Padic.norm_eq_zpow_neg_valuation, NormedSpace.norm_expSeries_summable_of_mem_ball, SlashInvariantForm.exists_one_half_le_im_and_norm_le, MeasureTheory.setToFun_smul_left, Filter.hasBasis_cobounded_norm, MeasureTheory.Integrable.norm_integral_condKernel, WithLp.prod_norm_eq_add_idemFst, Unitary.norm_sub_one_sq_eq, MeasureTheory.Lp.coe_nnnorm, Orientation.norm_div_sin_oangle_sub_right_of_oangle_eq_pi_div_two, fderiv_norm_smul_neg, PositiveLinearMap.exists_norm_apply_le, norm_le_norm_of_abs_le_abs, NormedStarGroup.norm_star_le, norm_zpow_abs, PiTensorProduct.liftEquiv_symm_apply, dist_right_pointReflection, InnerProductGeometry.norm_div_tan_angle_sub_of_inner_eq_zero, MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le, InnerProductGeometry.inner_eq_neg_mul_norm_of_angle_eq_pi, EisensteinSeries.norm_eq_max_natAbs, norm_jacobiTheta_sub_one_le, norm_cfcₙ_lt_iff, Orientation.oangle_sub_left_eq_arcsin_of_oangle_eq_pi_div_two, quotient_norm_add_le, MeasureTheory.Lp.norm_fourier_eq, IndiscreteTopology.norm_eq_zero, enorm_le_iff_norm_le, ContinuousMultilinearMap.opNorm_zero, normRingNorm_toFun, AddGroupNormClass.toNormedAddCommGroup_norm_eq, dense_differentiableAt_norm, Orientation.inner_eq_norm_mul_norm_mul_cos_oangle, Quaternion.exp_of_re_eq_zero, FormalMultilinearSeries.ofScalars_norm_le, IsCoercive.bounded_below, NumberField.place_apply, Submodule.norm_subtypeL, ContDiff.norm_sq, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, IsUltrametricDist.norm_fwdDiff_iter_apply_le, contDiffPointwiseHolderAt_iff, mem_closure_zero_iff_norm, Asymptotics.isLittleO_pow_sub_pow_sub, OrthonormalBasis.sum_sq_inner_left, CStarModule.norm_triangle, NormedDivisionRing.norm_eq_one_iff_ne_zero_of_discrete, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, Matrix.permMatrix_l2_opNorm_le, MeasureTheory.Lp.norm_const', HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, MeasureTheory.norm_condExpIndL1_le, ProbabilityTheory.hasFiniteIntegral_compProd_iff', SchwartzMap.norm_toLp, Submodule.norm_sq_eq_add_norm_sq_projection, smul_sphere, Int.norm_eq_abs, Filter.Tendsto.norm', Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two, Asymptotics.IsBigO.norm_norm, InnerProductGeometry.inner_eq_neg_mul_norm_iff_angle_eq_pi, LinearIsometry.norm_iteratedFDeriv_comp_left, MeasureTheory.norm_integral_le_lintegral_norm, AbsolutelyContinuousOnInterval.exists_bound, Quaternion.re_exp, ContinuousLinearMap.norm_precompR_le, PadicInt.coe_natCast, dist_lineMap_right, ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, PowerSeries.IsRestricted.isRestricted_iff, RCLike.sqrt_eq_real_add_ite, PadicInt.norm_int_le_pow_iff_dvd, Padic.padicNormE.is_rat, MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul, NormedSpace.isVonNBounded_iff', PadicInt.valuation_coe_nonneg, PiTensorProduct.liftEquiv_apply, Matrix.l2_opNorm_conjTranspose, NormedAddGroupHom.bound', MeasureTheory.norm_condExpInd_apply_le, ZLattice.summable_norm_rpow, norm_iteratedFDerivWithin_prod_le, UnitAddTorus.mFourier_norm, CStarModule.norm_inner_le, Complex.UnitDisc.instCanLiftCoeLtRealNormOfNat, hasFDerivAt_iff_tendsto, DifferentiableAt.norm_sq, norm_sub_le_norm_mul, FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, MeasureTheory.tendsto_measure_norm_gt_of_isTightMeasureSet, Padic.padicNormE.is_norm, Asymptotics.isBigO_const_iff, inner_eq_norm_sq_left_iff, PadicAlgCl.spectralNorm_eq, dist_add_self_left, NormedAddGroupHom.IsQuotient.norm_lift, Asymptotics.IsTheta.norm_left, Asymptotics.IsTheta.isBoundedUnder_le_iff, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Quaternion.normSq_eq_norm_mul_self, Orientation.sin_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, norm_natAbs, Orientation.oangle_add_left_eq_arcsin_of_oangle_eq_pi_div_two, mem_nullAddSubgroup_iff, Orientation.cos_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, norm_zsmul_le, InnerProductSpaceable.inner_.norm_sq, DoubleCentralizer.norm_snd, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, SeminormedRing.dist_eq, DomAddAct.norm_vadd_Lp, MeasureTheory.MemLp.integrable_norm_rpow, ModularFormClass.exists_petersson_le, Submodule.smul_starProjection_singleton, norm_of_subsingleton, ContinuousLinearMap.opNorm_comp_le, norm_mul, Complex.IsExpCmpFilter.tendsto_norm, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, Asymptotics.isBigOWith_self_const_mul, MeasureTheory.Lp.norm_smul_le, Valued.integer.norm_le_one, Bornology.IsBounded.exists_norm_le', MeasureTheory.IntegrableAtFilter.norm, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, SeparationQuotient.normedMk_eq_zero_iff, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_left, MeasureTheory.SimpleFunc.negPart_map_norm, lipschitzWith_iff_norm_div_le, Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_two, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, NormedField.dist_eq, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, ValueDistribution.characteristic_sub_characteristic_inv_le, BoundedContinuousFunction.norm_le_of_nonempty, contDiffAt_norm, Submodule.starProjection_norm_le, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, Complex.arg_eq_nhds_of_im_neg, RCLike.norm_le_re_iff_eq_norm, PadicComplex.isNonarchimedean, AnalyticOnNhd.circleAverage_log_norm_of_ne_zero, BoundedContinuousFunction.norm_integral_le_norm, sameRay_iff_norm_add, NormedAddGroupHom.opNorm_add_le, SeparationQuotient.mk_eq_zero_iff, Polynomial.logMahlerMeasure_eq_log_leadingCoeff_add_sum_log_roots, imaginaryPart.norm_le, MeasureTheory.integrable_prod_iff, abs_norm', HasFDerivWithinAt.norm_sq, CFC.abs_algebraMap, MeasureTheory.norm_weightedSMul_le, BoundedContinuousFunction.apply_le_norm, Inseparable.norm_eq_norm', norm_fderiv_norm_rpow_le, exists_taylor_mean_remainder_bound, InnerProductGeometry.norm_ofLp_crossProduct, Orientation.sin_oangle_sub_left_of_oangle_eq_pi_div_two, Asymptotics.isBigOWith_iff, ContinuousAlternatingMap.isLeast_opNorm, dist_self_div_right, RCLike.abs_im_le_norm, MeasureTheory.StronglyMeasurable.exists_spanning_measurableSet_norm_le, Complex.arg_of_im_nonneg_of_ne_zero, dist_homothety_self, norm_intCast_abs, OneHomClass.bound_of_antilipschitz, real_inner_add_sub_eq_zero_iff, strongConcaveOn_iff_convex, eventually_norm_pow_le, Unitization.norm_eq_sup, Real.norm_of_nonpos, ContinuousMap.toLp_norm_eq_toLp_norm_coe, Quaternion.expSeries_even_of_imaginary, coe_comp_nnnorm', summable_pow_div_add, intervalIntegral.norm_intervalIntegral_eq, Orientation.oangle_sub_left_eq_arccos_of_oangle_eq_pi_div_two, BoundedContinuousFunction.norm_eq_zero_of_empty, CStarModule.norm_pos, PadicInt.coe_adicCompletionIntegersEquiv_apply, Submodule.norm_starProjection, IsSelfAdjoint.norm_pow_two_pow, FormalMultilinearSeries.isLittleO_one_of_lt_radius, AddCircle.exists_norm_eq_of_isOfFinAddOrder, Asymptotics.IsBigO.exists_mem_basis, Bornology.IsBounded.exists_pos_norm_lt, NormedAddGroupHom.ratio_le_opNorm, WithLp.norm_toLp_fst, WithCStarModule.pi_norm, Polynomial.mahlerMeasure_X_add_C, Complex.eq_coe_norm_of_nonneg, exists_dual_vector, CStarModule.norm_zero, Asymptotics.IsBigOWith.exists_eq_mul, norm_nsmul_le, DifferentiableOn.norm_sq, SeminormedGroup.dist_eq, IsSelfAdjoint.toReal_spectralRadius_complex_eq_norm, ContinuousLinearMap.rayleighQuotient_le_norm, OrthonormalBasis.det_to_matrix_orthonormalBasis, mem_balancedHull_iff, Differentiable.norm_rpow, ContinuousLinearMap.norm_def, Padic.norm_natCast_eq_one_iff, lipschitzWith_iff_norm_sub_le, InnerProductGeometry.norm_div_sin_angle_add_of_inner_eq_zero, mem_closedBall_iff_norm''', norm_inner_eq_norm_tfae, mem_ball_iff_norm, ContinuousMultilinearMap.opNorm_pi, abs_norm_sub_norm_le, Complex.norm_real, CuspFormClass.petersson_bounded_right, MeasureTheory.integrable_conv_iff, Polynomial.exists_forall_norm_le, UpperHalfPlane.norm_qParam_lt_one, InnerProductGeometry.cos_angle_sub_of_inner_eq_zero, Complex.conj_mul', hasSum_sq_fourierCoeffOn, MeasureTheory.DominatedFinMeasAdditive.smul, CStarModule.norm_zero_iff, NormedSpace.equicontinuous_TFAE, dist_self_homothety, ContinuousAt.norm', LSeries.norm_term_eq, Asymptotics.isLittleO_one_left_iff, ProbabilityTheory.norm_complexMGF_le_mgf, Pi.sum_norm_apply_le_norm, ModularFormClass.exists_bound, EisensteinSeries.auxbound1, norm_div_sub_norm_div_le_norm_div, contDiff_norm_sq, ContinuousLinearMap.opNorm_add_le, InnerProductGeometry.norm_div_tan_angle_add_of_inner_eq_zero, Valued.toNormedField.norm_le_iff, ContinuousLinearMap.sSup_sphere_eq_norm, AddSubgroup.coe_norm, Polynomial.logMahlerMeasure_def, MeasureTheory.lpNorm_nnreal_eq_integral_norm_rpow, padic_polynomial_dist, norm_toNNReal', Complex.integral_exp_neg_mul_rpow, ContinuousLinearMap.NonlinearRightInverse.bound, ContinuousLinearMap.norm_inr, lp.norm_eq_card_dsupport, exists_polynomial_near_continuousMap, PiLp.norm_sq_eq_of_L2, MeasureTheory.Measure.integrable_compProd_iff, InnerProductGeometry.tan_angle_sub_of_inner_eq_zero, mem_sphere_zero_iff_norm, dist_mulIndicator, MonoidHomClass.isometry_iff_norm, InnerProductSpace.gramSchmidtOrthonormalBasis_apply_of_orthogonal, add_mem_closedBall_iff_norm, PiLp.norm_eq_of_L1, QuotientAddGroup.nhds_zero_hasBasis, HasDerivAt.norm_sq, controlled_prod_of_mem_closure_range, ContinuousOn.isBigOWith_rev_principal, FormalMultilinearSeries.le_mul_pow_of_radius_pos, ZSpan.norm_fract_le, InnerProductSpace.Core.norm_inner_le_norm, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, pi_norm_lt_iff, MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_norm, norm_norm, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, norm_sup_le_add, AntilipschitzWith.le_mul_norm_div, MeasureTheory.integrable_norm_iff, circleIntegrable_log_norm_meromorphicOn, inner_self_eq_norm_mul_norm, hasStrictFDerivAt_norm_sq, MeasureTheory.MemLp.exists_hasCompactSupport_integral_rpow_sub_le, finite_integral_one_add_norm, RCLike.norm_nsmul, ContinuousMultilinearMap.norm_mkPiAlgebra, EisensteinSeries.norm_le_tsum_norm, norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, norm_inv', NormedAddGroupHom.opNorm_zero_iff, ContinuousMultilinearMap.opNorm_add_le, Complex.norm_ratCast, ContinuousMap.exists_mem_subalgebra_near_continuous_of_isCompact_of_separatesPoints, eventually_cobounded_le_norm', PadicInt.one_le_norm_iff, CStarRing.norm_mul_mem_unitary, dist_self_mul_left, unitary.two_mul_one_sub_le_norm_sub_one_sq, Complex.norm_of_nonneg, EisensteinSeries.summable_one_div_norm_rpow, Matrix.norm_transpose, Complex.abs_im_lt_norm, Int.toNat_add_toNat_neg_eq_norm, ContinuousMultilinearMap.norm_restrictScalars, Multipliable.norm_tprod, PadicInt.norm_natCast_zmodRepr_eq_one_iff, PUnit.norm_eq_zero, InnerProductGeometry.sin_angle_sub_mul_norm_of_inner_eq_zero, Asymptotics.isBigOWith_norm_left, real_inner_le_norm, InnerProductGeometry.norm_sub_eq_add_norm_iff_angle_eq_pi, dist_vadd_left, differentiableAt_norm_smul, Asymptotics.isTheta_norm_right, ContinuousLinearMap.norm_map_tail_le, MeasureTheory.HasFiniteIntegral.norm, MeasureTheory.AEStronglyMeasurable.norm, summable_dirichletSummand, Differentiable.norm_sq, exists_dual_vector'', Pi.norm_def, Complex.norm_mul_cos_add_sin_mul_I, InnerProductGeometry.tan_angle_add_of_inner_eq_zero, RCLike.norm_wInner_le, UniformSpace.Completion.norm_coe, BoundedContinuousFunction.Lp_norm_le, Asymptotics.isBigOWith_iff_exists_eq_mul, MeasureTheory.all_ae_tendsto_ofReal_norm, norm_fderiv_iteratedFDeriv, MeasureTheory.Lp.norm_constL_le, dist_self_mul_right, ball_eq', PadicInt.isUnit_iff, Complex.norm_zpow, norm_lt_iff_of_compactlySupported, norm_prod_le_iff, Continuous.norm, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, Complex.volume_sum_rpow_lt, NormedAddCommGroup.tendsto_nhds_nhds, DomMulAct.norm_smul_Lp, RCLike.norm_im_le_norm, lp.norm_compl_sum_single, PiLp.norm_eq_ciSup, Polynomial.quadratic_dvd_of_aeval_eq_zero_im_ne_zero, MeasureTheory.ae_le_lpNorm_exponent_top, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le, Rat.norm_cast_real, MeasureTheory.lpNorm_norm, norm_inv, MeasureTheory.Integrable.integral_norm_compProd, AffineIsometry.norm_map, LinearMap.norm_extendTo𝕜'_apply_sq, ValueDistribution.characteristic_sub_characteristic_inv, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, inner_product_apply_eigenvector, LinearIsometry.norm_toContinuousLinearMap_comp, WithLp.prod_norm_eq_of_L1, ContinuousLinearMap.isBigOWith_comp, Asymptotics.isBigOWith_top, norm_sub_le_of_mem_segment, Orientation.tan_oangle_sub_left_of_oangle_eq_pi_div_two, infDist_smul₀, OrthonormalBasis.sum_sq_norm_inner_left, dist_one, norm_mul₄_le', abs_real_inner_div_norm_mul_norm_le_one, inner_self_eq_norm_sq, Matrix.norm_replicateRow, RCLike.exists_norm_mul_eq_self, UpperHalfPlane.petersson_norm_symm, NormedRing.inverse_add_norm_diff_second_order, PadicInt.limNthHom_spec, ContinuousOn.isBigOWith_principal, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', NumberField.FinitePlace.norm_def_int, NormedAddGroupHom.bound, Asymptotics.isLittleO_norm_pow_norm_pow, MeasureTheory.norm_charFun_le_one, LinearIsometry.norm_iteratedFDerivWithin_comp_left, MeasureTheory.integral_fun_norm_addHaar, MeasureTheory.L1.integral_eq_norm_posPart_sub, real_inner_self_eq_norm_sq, ContinuousLinearEquiv.norm_symm_pos, norm_deriv_le_of_lipschitz, Complex.norm_mul_exp_arg_mul_I, Complex.dist_eq, MeasureTheory.Lp.norm_const, norm_fderivWithin_iteratedFDerivWithin, Complex.cpow_inv_two_im_eq_sqrt, MeasureTheory.SimpleFunc.norm_integral_le_integral_norm, Complex.cpow_inv_two_re, UnitAddCircle.mem_approxAddOrderOf_iff, IsUltrametricDist.norm_zsmul_le, ContinuousMultilinearMap.ratio_le_opNorm, ContinuousLinearMap.norm_extendTo𝕜'_bound, CStarRing.norm_star_mul_self, comap_norm_atTop, isBounded_iff_forall_norm_le, pi_norm_const_le', WithCStarModule.norm_single, mem_sphere_one_iff_norm, ContinuousMapZero.norm_def, ContDiffAt.norm_sq, NormedField.exists_lt_norm, WithCStarModule.prod_norm, norm_derivWithin_eq_norm_fderivWithin, Pi.norm_single, hasGradientAt_iff_tendsto, dist_vadd_right, closure_zero_eq, Circle.norm_coe, NonUnitalStarAlgHom.norm_map, SeparationQuotient.norm_liftNormedAddGroupHom_le, Polynomial.supNorm_monomial, ZLattice.summable_norm_pow_inv, IndiscreteTopology.norm_eq_zero', AddGroupSeminormClass.toSeminormedAddGroup_norm_eq, LinearMap.toSpanSingleton_homothety, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, Prod.norm_def, AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ContinuousLinearMap.le_opNorm₂, quotient_norm_mk_eq, LinearMap.norm_map_iff_inner_map_map, ProbabilityTheory.hasFiniteIntegral_comp_iff', ContinuousLinearMap.norm_iteratedFDeriv_comp_left, ContinuousLinearMap.norm_uncurryMid, MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, WithLp.unitization_norm_def, ContinuousLinearMap.opNorm_mul_le, ContinuousLinearMap.uncurryLeft_norm, HasCompactMulSupport.exists_bound_of_continuous, EuclideanSpace.norm_eq, ContinuousLinearMap.opNorm_subsingleton, Complex.arg_eq_arg_iff, Orientation.cos_oangle_add_right_of_oangle_eq_pi_div_two, MeasureTheory.Integrable.measure_norm_gt_lt_top, Polynomial.supNorm_C, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, NormedField.tendsto_norm_inv_nhdsNE_zero_atTop, Orientation.oangle_sub_right_eq_arcsin_of_oangle_eq_pi_div_two, Submodule.norm_orthogonalProjection_apply, EisensteinSeries.isBigO_linear_add_const_vec, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, AddCircle.norm_coe_eq_abs_iff, WithAbs.norm_eq_abv, CStarModule.norm_sq_eq, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, Quaternion.im_exp, Complex.norm_natCast_cpow_of_pos, InnerProductSpaceable.parallelogram_identity, NormedAddCommGroup.exists_norm_nsmul_le, EisensteinSeries.auxbound2, norm_le_norm_sub_add, ZeroAtInftyContinuousMap.norm_toBCF_eq_norm, CauSeq.tendsto_limit, FormalMultilinearSeries.compAlongComposition_norm, Complex.norm_div, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.Integrable.norm_integral_condDistrib_map, homeomorphUnitSphereProd_apply_fst_coe, RCLike.isCauSeq_im, Asymptotics.isBigO_norm_left, InnerProductSpace.norm_sq_eq_re_inner, PiLp.norm_seminormedAddCommGroupToPi, Orientation.kahler_apply_self, ModularGroup.exists_bound_fundamental_domain_of_isBigO, formalMultilinearSeries_geometric_apply_norm, ProbabilityTheory.hasFiniteIntegral_comp_iff, Valued.integer.coe_span_singleton_eq_closedBall, Unitary.spectrum_subset_slitPlane_iff_norm_lt_two, Orientation.inner_mul_areaForm_sub', fourierIntegral_gaussian_innerProductSpace, NormedSpace.norm_expSeries_summable', MeasureTheory.dist_convolution_le', continuous_norm', Asymptotics.isLittleO_const_left_of_ne, Asymptotics.isLittleO_norm_left, Polynomial.supNorm_def', NormedSpace.norm_expSeries_div_summable_of_mem_ball, dist_homothety_center, IntervalIntegrable.norm, pi_norm_le_iff_of_nonneg', InnerProductSpace.innerSL_norm, SchwartzMap.le_seminorm, Unitization.norm_def, LipschitzWith.norm_sub_le, NormedAddGroupHom.norm_eq_of_isometry, Finset.norm_prod_le', ContinuousMultilinearMap.norm_ofSubsingleton_id_le, norm_prod, LipschitzOnWith.norm_div_le, lp.norm_neg, NormedAddGroupHom.le_opNorm, HasFPowerSeriesOnBall.uniform_geometric_approx', IsBoundedLinearMap.bound, InnerProductGeometry.norm_div_sin_angle_sub_of_inner_eq_zero, Valued.toNormedField.one_lt_norm_iff, eventually_norm_symmL_trivializationAt_comp_self_lt, not_sameRay_iff_abs_lt_norm_sub, LipschitzWith.norm_le_mul, Orientation.abs_areaForm_le, ZLattice.exists_forall_abs_repr_le_norm, SeminormedAddCommGroup.mem_closure_iff, PadicInt.norm_le_pow_iff_norm_lt_pow_add_one, ContinuousLinearMap.norm_single, CauSeq.cauchySeq, EisensteinSeries.r_mul_max_le, Complex.norm_exp_ofReal, ContinuousLinearMap.norm_extendTo𝕜', GaussianFourier.norm_cexp_neg_mul_sq_add_mul_I', Isometry.norm_map_of_map_zero, Asymptotics.bound_of_isBigO_nat_atTop, AddChar.norm_apply, IsUltrametricDist.norm_pow_le, Valued.isNonarchimedean_norm, Asymptotics.IsBigO.bound, NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isReal, InnerProductGeometry.cos_angle_add_mul_norm_of_inner_eq_zero, MeasureTheory.Integrable.integral_norm_condDistrib, PadicInt.norm_intCast_eq_one_iff, EisensteinSeries.norm_symm, IsUltrametricDist.exists_norm_finset_sum_le, CStarAlgebra.mul_star_le_algebraMap_norm_sq, norm_lineDeriv_le_of_lipschitzOn, norm_sub_sq_eq_norm_sq_add_norm_sq_real, Orientation.normSq_kahler, Complex.norm_prime_cpow_le_one_half, Padic.isAbsoluteValue, tendsto_norm_one, norm_le_mul_norm_add', WithLp.prod_norm_eq_sup, QuotientAddGroup.norm_lift_apply_le, tendsto_iff_norm_div_tendsto_zero, dist_zero_left, gauge_unit_ball, norm_natAbs_smul, ContinuousAlternatingMap.norm_image_sub_le', norm_le_pi_norm', PadicInt.norm_le_pow_iff_le_valuation, Complex.norm_ofNat, ProbabilityTheory.integrable_compProd_iff, sameRay_iff_inv_norm_smul_eq, norm_sub_sub_norm_sub_le_norm_sub, Polynomial.sum_sq_norm_coeff_eq_circleAverage, ProbabilityTheory.IdentDistrib.norm, Polynomial.mahlerMeasure_X_sub_C, MeasureTheory.MemLp.norm_rpow_div, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, norm_algebraMap, RCLike.norm_natCast, coord_norm', PadicInt.norm_le_pow_iff_mem_span_pow, Int.Matrix.one_le_norm_A_of_ne_zero, InnerProductGeometry.norm_sub_eq_add_norm_of_angle_eq_pi, MeasureTheory.measureReal_abs_gt_le_integral_charFun, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, ContinuousMap.norm_lt_iff, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, Matrix.norm_conjTranspose, ContinuousMap.norm_lt_iff_of_nonempty, dist_eq_norm_sub', UpperHalfPlane.isZeroAtImInfty_iff, Prod.norm_mk, smul_unitBall, Padic.norm_le_one_iff_val_nonneg, Padic.norm_intCast_lt_one_iff, norm_isUnit_zsmul, dist_one_left, IsPicardLindelof.norm_le, BoundedContinuousFunction.norm_def, RCLike.normSq_eq_def', BoundedContinuousFunction.norm_lt_iff_of_compact, Asymptotics.IsTheta.tendsto_norm_atTop_iff, rotationOf_coe, Orientation.norm_div_sin_oangle_sub_left_of_oangle_eq_pi_div_two, PadicInt.norm_natCast_zmodRepr_eq, Int.norm_cast_rat, StrongDual.norm_toLpₗ_le, Filter.HasBasis.cobounded_of_norm, ContDiffMapSupportedIn.norm_apply_le_seminorm, InnerProductSpace.gramSchmidtNormed_unit_length, Complex.norm_def, isCauSeq_iff_cauchySeq, Asymptotics.isBigO_one_nat_atTop_iff, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, Complex.abs_im_div_norm_le_one, Complex.norm_int_of_nonneg, LinearMap.mem_polar_singleton, tendsto_norm_comp_cofinite_atTop_of_isClosedEmbedding', MeasureTheory.MemLp.norm, comap_norm_nhds_one, spectralNorm_extends, QuotientAddGroup.norm_mk_eq_zero, CuspFormClass.exists_bound, MeasureTheory.L1.norm_integral_le, hasDerivAtFilter_iff_tendsto, RCLike.ofRealCLM_norm, QuotientGroup.exists_norm_mk_lt, spectrum.coe_le_norm_of_mem, Complex.IsExpCmpFilter.isLittleO_log_norm_re, circleAverage_log_norm_add_const_eq_posLog, RingHomIsometric.norm_map, Complex.norm_natCast_cpow_pos_of_pos, isBoundedLinearMap_iff, Complex.re_le_norm, lp.norm_zero, inner_self_ofReal_norm, Unitary.norm_map, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, SeparationQuotient.norm_mk', Complex.norm_add_mul_I, CStarAlgebra.norm_le_iff_le_algebraMap, ContinuousLinearMap.opNorm_zero, MeromorphicOn.circleAverage_log_norm, not_sameRay_iff_norm_add_lt, one_le_norm_one, ContinuousMultilinearMap.norm_iteratedFDeriv_le, TrivSqZeroExt.norm_inl, intervalIntegrable_posLog_norm_meromorphicOn, Complex.abs_re_le_norm, ContDiffOn.norm_sq, CStarModule.norm_eq_csSup, RCLike.norm_re_le_norm, tendsto_norm', ContinuousMultilinearMap.norm_iteratedFDeriv_le', MulAlgebraNormClass.map_smul_eq_mul, spectralAlgNorm_extends, Valued.integer.norm_unit, Orientation.tan_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, Asymptotics.isBigO_cofinite_iff, Matrix.linfty_opNorm_mulVec, Complex.tendsto_norm_tan_of_cos_eq_zero, DirichletCharacter.norm_LFunction_product_ge_one, AddCircle.norm_neg_period, MeasureTheory.memLp_norm_rpow_iff, ContinuousAffineMap.norm_image_zero_le, WithLp.prod_norm_eq_card, ofReal_norm_eq_enorm, exists_dual_vector', MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, IsCompact.exists_bound_of_continuousOn, Matrix.norm_lt_iff, NormedAddGroupHom.ofLipschitz_norm_le, controlled_sum_of_mem_closure, eventually_norm_symmL_trivializationAt_lt, norm_abs_eq_norm, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, Asymptotics.IsBigOWith.norm_right, mem_closedBall_one_iff, Function.locallyFinsuppWithin.logCounting_divisor_eq_circleAverage_sub_const, dist_pointReflection_right, ContinuousLinearMap.opNorm_le_iff, NormedDivisionRing.norm_mul, tendsto_zero_iff_norm_tendsto_zero, Complex.norm_of_nonneg', CStarRing.norm_self_mul_star, ZeroHomClass.bound_of_antilipschitz, BoundedContinuousFunction.norm_lt_iff_of_nonempty_compact, Orientation.abs_areaForm_of_orthogonal, Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, UnitAddCircle.norm_eq, WithLp.prod_norm_sq_eq_of_L2, lp.hasSum_norm, IsUltrametricDist.norm_add_le_max, MeasureTheory.eLpNorm_norm_rpow, IsUltrametricDist.norm_add_eq_max_of_norm_ne_norm, unitary.norm_map, Continuous.bounded_above_of_compact_support, mem_sphere_iff_norm, ProbabilityTheory.Fernique.measure_le_mul_measure_gt_normThreshold_le_of_map_rotation_eq_self, CStarAlgebra.conjugate_le_norm_smul', uniformContinuous_norm', inner_sum_smul_sum_smul_of_sum_eq_zero, mem_ball_iff_norm', norm_div, ContinuousLinearMap.opNorm_zero_iff, InnerProductSpace.gramSchmidt_def'', MeasureTheory.norm_one_sub_charFun_le_two, Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_two, WithCStarModule.norm_equiv_le_norm_prod, InnerProductSpace.Core.inner_mul_symm_re_eq_norm, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, Complex.exists_norm_mul_eq_self, norm_div_le_norm_div_add_norm_div, Hamming.norm_eq_hammingNorm, PiLp.norm_eq_of_nat, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, Asymptotics.IsBigOWith.of_const_mul_right, Real.tendsto_integral_cexp_sq_smul, ContDiffMapSupportedIn.seminorm_apply, FormalMultilinearSeries.isLittleO_of_lt_radius, NormedAddCommGroup.tendsto_nhds_zero, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, CStarAlgebra.norm_le_norm_of_nonneg_of_le, Orientation.inner_sq_add_areaForm_sq, enorm_norm, PiLp.norm_toLp_const, nnnorm_norm, Seminorm.smul_closedBall_subset, lp.tsum_mul_le_mul_norm', intervalIntegral.norm_integral_le_of_norm_le_const_ae, nnnorm_fderiv_norm_rpow_le, norm_add_sq_real, spectrum.norm_eq_one_of_unitary, Complex.isTheta_cpow_const_rpow, eigenvalue_mem_ball, Orientation.norm_eq_of_two_zsmul_oangle_sub_eq, NormedAddCommGroup.uniformity_basis_dist, Matrix.linfty_opNorm_replicateCol, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, PadicAlgCl.valuation_coe, InnerProductGeometry.angle_add_eq_arccos_of_inner_eq_zero, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, CStarAlgebra.star_mul_le_algebraMap_norm_sq, SeminormClass.map_smul_eq_mul, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, Complex.arg_of_im_neg, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, WithCStarModule.pi_norm_le_sum_norm, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, PiLp.norm_apply_le, Complex.norm_sub_one_sq_eqOn_sphere, MeasureTheory.integrable_prod_iff', ZLattice.summable_norm_sub_rpow, lp.norm_single, IsometricContinuousFunctionalCalculus.norm_spectrum_le, ContinuousLinearMap.norm_id_le, HasFDerivAt.le_of_lipschitz, Asymptotics.isBigO_principal, ValueDistribution.proximity_zero_of_complexValued, Complex.sqrt_eq_real_add_ite, RCLike.norm_two, ContinuousMap.neg_norm_le_apply, Complex.ext_norm_arg_iff, mem_nullSubmodule_iff, norm_add_sq, spectralNorm.spectralNorm_eq_norm_coeff_zero_rpow, RCLike.norm_sq_re_conj_add, SeminormedRing.norm_mul_le, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, norm_jacobiTheta₂'_term_le, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_right, dist_eq_norm_div, NormedAddGroupHom.opNorm_neg, MeasureTheory.lpMeasSubgroupToLpTrim_norm_map, NontriviallyNormedField.non_trivial, ModularGroup.exists_bound_of_subgroup_invariant_of_isArithmetic_of_isBigO, ModularGroup.exists_bound_of_invariant_of_isBigO, Orientation.tan_oangle_sub_right_of_oangle_eq_pi_div_two, Asymptotics.isBigO_const_left_iff_pos_le_norm, CStarAlgebra.star_left_conjugate_le_norm_smul, norm_iteratedFDeriv_prod_le, inner_eq_ofReal_norm_sq_left_iff, norm_add_mul_self, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Asymptotics.IsBigO.exists_eq_mul, coe_nnnorm, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, ContinuousLinearMap.opNorm_lsmul_le, MeasureTheory.Lp.norm_exponent_zero, ContDiffAt.norm, AntilipschitzWith.le_mul_norm_sub, NumberField.canonicalEmbedding.norm_le_iff, Unitary.two_mul_one_sub_le_norm_sub_one_sq, WeakDual.CharacterSpace.norm_le_norm_one, dist_self_sub_left, Matrix.linfty_opNorm_toMatrix, NormedField.exists_one_lt_norm, IsMprojection.Mnorm, Padic.nonarchimedean, MeasureTheory.L1.norm_setToL1_le_mul_norm', innerSL_apply_norm, IsUltrametricDist.exists_norm_finset_sum_le_of_nonempty, NumberField.mixedEmbedding.normAtPlace_apply_of_isComplex, Matrix.frobenius_norm_mul, Orientation.cos_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, OpenPartialHomeomorph.univUnitBall_apply, ContinuousLinearMap.norm_compL_le, NonUnitalNormedRing.norm_mul_le, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, NormedAddGroupHom.IsQuotient.norm, RCLike.inv_def, InnerProductSpace.gramSchmidtNormed_unit_length', tendsto_norm, norm_sub_le_norm_add, Complex.re_eq_neg_norm, NormedAddGroupHom.opNorm_nonneg, PadicInt.not_isUnit_iff, ContinuousMultilinearMap.norm_domDomCongr, Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two, norm_le_zero_iff, mellin_convergent_iff_norm, QuotientGroup.exists_norm_mul_lt, Orientation.kahler_mul, mem_ball_iff_norm''', LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, IsUltrametricDist.norm_div_eq_max_of_norm_div_ne_norm_div, tsum_sq_fourierCoeffOn, sameRay_iff_norm_sub, TensorProduct.dist_tmul_le, ContinuousMultilinearMap.curry0_norm, TensorProduct.norm_lid, ValueDistribution.proximity_const, ContinuousLinearMap.norm_fst, norm_inf_sub_inf_le_norm, CFC.quasispectrum_abs, HurwitzKernelBounds.F_nat_zero_zero_sub_le, tendsto_norm_atTop_iff_cobounded', PiTensorProduct.mapL_opNorm, RCLike.norm_nnratCast, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, MulOpposite.norm_op, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, MeasureTheory.LocallyIntegrableOn.norm, tendsto_norm_atTop_atTop, AddMonoidHomClass.isometry_iff_norm, circleAverage_log_norm_sub_const_eq_posLog, tendsto_norm_cocompact_atTop', norm_sub_norm_le, Asymptotics.IsLittleO.add_add, Padic.padicNormE.mul, Matrix.linfty_opNorm_mul, lp.norm_sub_norm_compl_sub_single, NonUnitalNormedRing.dist_eq, CFC.spectrum_abs, dist_left_lineMap, Complex.norm_deriv_le_one_of_mapsTo_ball, real_inner_self_eq_norm_mul_norm, InnerProductGeometry.norm_sub_eq_abs_sub_norm_iff_angle_eq_zero, ContinuousLinearMap.norm_restrictScalars, coe_normSeminorm, Complex.norm_exp, IntervalIntegrable.intervalIntegrable_norm_iff, Complex.lim_im, Real.le_norm_self, NormedAlgebra.norm_smul_le, HasLineDerivAt.le_of_lipschitzOn, ContinuousMap.norm_restrict_mono_set, ContinuousLinearMap.opNorm_mul_apply_le, Asymptotics.isTheta_norm_left, RCLike.re_le_norm, circleAverage_log_norm_factorizedRational, OrthonormalBasis.norm_le_card_mul_iSup_norm_inner, Asymptotics.isBigO_iff_isBoundedUnder_le_div, PadicInt.valuation_coe, dist_indicator, BoundedContinuousFunction.norm_coe_le_norm, NormedSpace.norm_smul_le, spectrum.pow_norm_pow_one_div_tendsto_nhds_spectralRadius, ContinuousLinearMap.opNorm_smul_le, Quaternion.norm_exp, MeasureTheory.L1.norm_setToL1_le', norm_prod_le, ContinuousMap.comp_attachBound_mem_closure, dist_div_norm_sq_smul, NormedField.tendsto_norm_zpow_nhdsNE_zero_atTop, Asymptotics.IsBigOWith.const_mul_right', norm_iteratedFDeriv_one, CFC.norm_abs, pi_norm_le_iff_of_nonempty, hasDerivAt_norm_rpow, Polynomial.leading_coeff_le_mahlerMeasure, PadicInt.norm_p, Seminorm.smul_closedBall_preimage, AnalyticAt.harmonicAt_log_norm, ContinuousLinearMap.norm_bilinearRestrictScalars, Ideal.Quotient.norm_mk_lt, inseparable_zero_iff_norm, ContinuousLinearMap.norm_inl, norm_le_norm_add_norm_div, MeasureTheory.L1.norm_of_fun_eq_integral_norm, MeasureTheory.measureReal_abs_inner_gt_le_integral_charFun, RCLike.norm_sq_eq_def, norm_deriv_eq_norm_fderiv, SeminormedGroup.disjoint_nhds_one, WithLp.norm_seminormedAddCommGroupToProd, ContinuousMap.apply_le_norm, Asymptotics.isBigO_iff_exists_eq_mul, norm_neg, IsOfFinOrder.norm_eq_one, PointwiseConvergenceCLM.tendsto_nhds_atTop, BoundedContinuousFunction.norm_mkOfCompact, ULift.norm_down, GroupNormClass.toNormedGroup_norm_eq, Complex.norm_deriv_le_div_of_mapsTo_ball, CStarModule.inner_mul_inner_swap_le, Finset.Nonempty.norm_prod_le_sup'_norm, dist_partial_sum', NumberField.norm_embedding_le_house, Complex.norm_sub_eq_iff, NumberField.FinitePlace.norm_eq_one_iff_notMem, Polynomial.mahlerMeasure_of_degree_eq_one, Summable.norm_lt_one, SchwartzMap.isBigO_cocompact_zpow_neg_nat, norm_le_mul_norm_add, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, AlgebraNorm.extends_norm', PiTensorProduct.norm_eval_le_projectiveSeminorm, NormedCommGroup.nhds_basis_norm_lt, Unitary.norm_sub_eq, real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, IsUltrametricDist.norm_mul_le_max, Fourier.norm_fourierIntegral_le_integral_norm, MeasureTheory.Integrable.norm_toL1_eq_lintegral_norm, WithCStarModule.norm_equiv_le_norm_pi, Orientation.norm_div_tan_oangle_sub_left_of_oangle_eq_pi_div_two, MeasureTheory.Measure.integrable_comp_iff, Complex.cpow_ofReal_im, CStarAlgebra.conjugate_le_norm_smul, summable_geometric_iff_norm_lt_one, InnerProductGeometry.inner_eq_mul_norm_of_angle_eq_zero, DoubleCentralizer.norm_fst, RCLike.mul_self_norm, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, spectralValue_X_sub_C, mem_nullSubgroup_iff, BoundedContinuousFunction.add_norm_nonneg, ContinuousAlternatingMap.norm_ofSubsingleton_id, MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt, Complex.norm_I, PadicInt.norm_lt_pow_iff_norm_le_pow_sub_one, Padic.norm_rat_le_one, MeasureTheory.hasFiniteIntegral_prod_iff, IsUltrametricDist.norm_natCast_le_one, BoundedContinuousFunction.toLp_norm_le, IsPrimitiveRoot.norm'_eq_one, ContDiffMapSupportedIn.seminorm_postcompLM_le, inner_mul_symm_re_eq_norm, ContinuousMultilinearMap.bound, Padic.rat_dense, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, isBigO_norm_Icc_restrict_atBot, Nat.norm_cast_le, norm_cfcₙ_one_sub_one_add_inv_lt_one, rpow_neg_one_add_norm_sq_le, BoundedContinuousFunction.norm_sub_nonneg, tendsto_norm_cobounded_atTop', PadicComplex.norm_extends, CFC.abs_eq_cfcₙ_norm, norm_tangentSpace_vectorSpace, DifferentiableWithinAt.norm_sq, MeasureTheory.StronglyMeasurable.norm, NormedAddGroupHom.norm_lift_le, Complex.isCauSeq_im, MeasureTheory.norm_setToFun_le_mul_norm, ZLattice.le_norm_of_le_abs_repr, ContinuousAlternatingMap.opNorm_le_iff, ContinuousAffineMap.norm_comp_le, MeasureTheory.L1.SimpleFunc.norm_eq_integral, Complex.norm_eq_one_of_mem_rootsOfUnity, RCLike.norm_coe_norm, Valued.integer.mem_iff, MeasureTheory.SimpleFunc.norm_approxOn_zero_le, LinearIsometry.norm_map', Asymptotics.IsLittleO.norm_left, Asymptotics.isBigOWith_principal, smul_ball, Seminorm.smul_ball_preimage, Matrix.linfty_opNorm_eq_opNorm, inner_eq_norm_mul_iff_real, dist_norm_norm_le', NormedAddGroupHom.lipschitz, MeasureTheory.L1.SimpleFunc.norm_integral_le_norm, SeparationQuotient.mk_eq_one_iff, Complex.range_norm, SchwartzMap.decay, NormedRing.inverse_add_norm_diff_first_order, tendsto_norm_cobounded_atTop, norm_fderiv_le_of_lipschitzOn, PadicInt.norm_sub_zmodRepr_lt_one, Asymptotics.isLittleO_norm_pow_id, ContinuousLinearMap.opNorm_le_iff_lipschitz, ModularGroup.exists_one_half_le_im_smul_and_norm_denom_le, dist_smul₀, SameRay.norm_add, MeasureTheory.L1.norm_setToL1_le_mul_norm, norm_pow_le', exists_forall_sphere_dist_add_le_two_sub, Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two, Matrix.l2_opNorm_le_one_of_mem_doublyStochastic, ContinuousLinearMap.opNorm_flip, EisensteinSeries.abs_le_left_of_norm, ContinuousAt.norm, InnerProductGeometry.sin_angle_add_of_inner_eq_zero, LipschitzWith.norm_le_mul', tendsto_one_iff_norm_tendsto_zero, Irreducible.maximalIdeal_eq_closedBall, AddCircle.norm_le_half_period, PadicInt.norm_add_eq_max_of_ne, InnerProductGeometry.angle_sub_eq_arcsin_of_inner_eq_zero, Asymptotics.IsLittleO.norm_norm, AddSubgroupClass.coe_norm, norm_toDual, Complex.abs_re_lt_norm, IsBoundedBilinearMap.isBigO, BoundedContinuousFunction.abs_diff_coe_le_dist, Submodule.norm_coe, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, Function.Periodic.norm_qParam, ZLattice.summable_norm_sub_zpow, GroupSeminormClass.toSeminormedGroup_norm_eq, BoundedContinuousFunction.norm_const_eq, AlgHom.toContinuousLinearMap_norm, norm_intCast_eq_abs_mul_norm_one, norm_zpow, Complex.norm_exp_eq_iff_re_eq, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, Summable.norm, summable_norm_iff, pi_norm_const, QuotientAddGroup.norm_eq_addGroupSeminorm, QuotientGroup.norm_eq_infDist, BoundedContinuousFunction.norm_eq_of_nonempty, intervalIntegral.norm_integral_le_integral_norm, Complex.arg_eq_nhds_of_im_pos, ContinuousMultilinearMap.norm_compContinuous_linearIsometryEquiv, EisensteinSeries.abs_norm_eq_max_natAbs, Complex.norm_cpow_inv_nat, Orientation.volumeForm_apply_le, ContinuousLinearMap.norm_single_le_one, QuotientGroup.le_norm_iff, RCLike.norm_sq_re_add_conj, exists_norm_eq_iInf_of_complete_convex, Matrix.frobenius_norm_diagonal, BoundedContinuousFunction.norm_integral_le_mul_norm, ContinuousLinearMap.norm_compSL_le, MeasureTheory.norm_condExpInd_le, exists_norm_le_of_cauchySeq, Complex.integral_rpow_mul_exp_neg_mul_rpow, Asymptotics.isBigOWith_const_mul_self, dual_solid, CStarAlgebra.norm_negPart_le, NumberField.mixedEmbedding.negAt_apply_norm_isReal, dist_le_norm_add_norm', hasFDerivAtFilter_iff_tendsto, riesz_lemma_of_lt_one, InnerProductGeometry.norm_sub_eq_abs_sub_norm_of_angle_eq_zero, Valued.integer.isUnit_iff_norm_eq_one, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, Asymptotics.isBigOWith_const_const, abs_norm_sub_norm_le', ContDiff.norm, tendsto_norm_atTop_iff_cobounded, InnerProductSpace.isIdempotentElem_rankOne_self_iff, Submodule.norm_starProjection_apply, Valued.toNormedField.norm_lt_iff, ContinuousLinearMap.opNorm_nonneg, Complex.UnitDisc.norm_lt_one, UnitAddCircle.mem_addWellApproximable_iff, OrthogonalFamily.norm_sum, ContinuousOn.norm, SameRay.norm_smul_eq, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, NormedAddCommGroup.tendsto_atTop, MeasureTheory.norm_Lp_toLp_restrict_le, homeomorphSphereProd_apply_snd_coe, SeminormedCommGroup.dist_eq, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, hasSum_sq_fourierCoeff, ContinuousLinearMap.opNorm_neg, PositiveLinearMap.norm_apply_le_of_nonneg, Complex.isOpen_setOf_mem_nhds_and_isMaxOn_norm, RCLike.norm_to_complex, LinearMap.toSeminorm_ball_zero, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, Polynomial.isGreatest_supNorm, ContinuousLinearMap.reApplyInnerSelf_smul, ULift.norm_def, Complex.norm_fderiv_le_one_of_mapsTo_ball, Asymptotics.IsBigO.isBoundedUnder_le, LinearMap.toSeminorm_apply, Isometry.norm_map_of_map_one, MeasureTheory.Lp.norm_measure_zero, Complex.lim_norm, Submodule.starProjection_minimal, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, pi_norm_const', ProbabilityTheory.hasFiniteIntegral_compProd_iff, Complex.conjCLE_norm, norm_apply_le_norm_cfc, WithLp.norm_snd_le, ValueDistribution.logCounting_zero_sub_logCounting_top_eq_circleAverage_sub_const, norm_sup_sub_sup_le_add_norm, exists_extension_norm_eq, Real.tendsto_integral_gaussian_smul, QuotientAddGroup.norm_mk_le_norm, ContinuousLinearMap.norm_id, Besicovitch.SatelliteConfig.exists_normalized_aux1, Bornology.IsBounded.exists_norm_le, TensorProduct.norm_tmul, MeasureTheory.L1.norm_Integral_le_one, Orientation.oangle_sub_left_eq_arctan_of_oangle_eq_pi_div_two, ContinuousLinearMap.norm_smulRightL_le, IsSelfAdjoint.toReal_spectralRadius_eq_norm, spectralValue_le_one_iff, spectralNorm_extends_of_finiteDimensional, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, norm_add₄_le, coe_normAddGroupSeminorm, dist_eq_norm_vsub, PadicInt.norm_mahler_eq, MeasureTheory.Lp.norm_eq_zero_iff, Complex.cpow_inv_two_im_eq_neg_sqrt, SeparationQuotient.norm_mk, ZLattice.normBound_spec, Orientation.sin_oangle_sub_right_of_oangle_eq_pi_div_two, Int.norm_coe_units, SchwartzMap.le_seminorm', Complex.arg_eq_nhds_of_re_pos, Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two, tendsto_norm_nhdsNE_zero, mul_mem_closedBall_iff_norm, RCLike.re_le_neg_norm_iff_eq_neg_norm, differentiable_norm_rpow, coe_comp_nnnorm, SlashInvariantFormClass.norm_petersson_smul, ContinuousMap.polynomial_comp_attachBound, VectorFourier.norm_fourierSMulRight_le, BoundedContinuousFunction.norm_normComp, EisensteinSeries.abs_norm_eq_max_natAbs_neg, NumberField.mixedEmbedding.normAtAllPlaces_norm_at_real_places, Polynomial.logMahlerMeasure_const, norm_cfcHom, intervalIntegral.norm_integral_eq_norm_integral_uIoc, Memℓp.summable, norm_commutator_units_sub_one_le, DenselyNormedField.lt_norm_lt, norm_div_eq_zero_iff, Affine.Simplex.signedInfDist_affineCombination, SeminormedSpace.Core.norm_smul, Unitization.norm_splitMul_snd_sq, Complex.norm_natCast_cpow_le_norm_natCast_cpow_iff, norm_le_norm_add_const_of_dist_le', Complex.norm_natCast_cpow_le_norm_natCast_cpow_of_pos, intervalIntegral.norm_integral_le_abs_integral_norm, SemilinearIsometryClass.norm_map, AddCircle.norm_eq, Complex.norm_cpow_eq_rpow_re_of_nonneg, Complex.norm_exp_le_exp_norm, MeasureTheory.Lp.meas_ge_le_mul_pow_enorm, UnitAddTorus.hasSum_sq_mFourierCoeff, CFC.norm_rpow, HurwitzKernelBounds.F_nat_zero_le, ContDiffMapSupportedIn.bounded_iteratedFDeriv, inner_self_re_eq_norm, MeasureTheory.ae_tendsto_ofReal_norm, homeomorphUnitSphereProd_apply_snd_coe, Complex.circleTransformDeriv_bound, CStarRing.norm_coe_unitary_mul, Asymptotics.isLittleO_iff, Submodule.orthogonalProjectionFn_norm_sq, Complex.norm_exp_mul_exp_add_exp_neg_le_of_abs_im_le, Algebra.norm_smul_one_eq_norm, ProbabilityTheory.measure_le_mul_measure_gt_le_of_map_rotation_eq_self, ContinuousMultilinearMap.norm_ofSubsingleton, VectorFourier.norm_fourierPowSMulRight_le, NormedSpace.norm_expSeries_div_summable, TensorProduct.norm_map, ofReal_norm, LinearIsometryEquiv.norm_map', riesz_lemma, AddGroupSeminormClass.toSeminormedAddCommGroup_norm_eq, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, InnerProductGeometry.angle_sub_eq_arctan_of_inner_eq_zero, PadicInt.coe_neg, Padic.norm_rat_le_one_iff_padicValuation_le_one, PadicInt.norm_def, PadicInt.norm_natCast_eq_one_iff, Polynomial.logMahlerMeasure_monomial, lp.norm_eq_tsum_rpow, CStarAlgebra.norm_le_one_iff_of_nonneg, ContinuousMultilinearMap.norm_map_insertNth_le, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral, intervalIntegrable_log_norm_meromorphicOn, Complex.equiv_limAux, norm_iteratedFDerivWithin_mul_le, VectorFourier.norm_fourierSMulRight, Asymptotics.isBigO_iff'', Asymptotics.isLittleO_norm_norm, PadicInt.isOpenEmbedding_coe, ContinuousLinearEquiv.coord_norm', NumberField.InfinitePlace.eq_iff_eq, unitary.norm_sub_one_lt_two_iff, norm_sub_le_integral_of_norm_deriv_le_of_le, dist_self_add_right, WithCStarModule.pi_norm_sq, NormedAddCommGroup.nhds_zero_basis_norm_lt, norm_toMul, NormedSpace.norm_smul_normalize, BoundedContinuousFunction.norm_const_le, Padic.norm_le_pow_iff_norm_lt_pow_add_one, homeomorphSphereProd_apply_fst_coe, Complex.norm_exp_sub_sum_le_exp_norm_sub_sum, Polynomial.logMahlerMeasure_C_mul_X_add_C, Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_two, IsUltrametricDist.norm_sub_eq_max_of_norm_sub_ne_norm_sub, strongConvexOn_iff_convex, CStarRing.norm_mem_unitary_mul, Complex.norm_log_natCast_le_rpow_div, Asymptotics.IsTheta.norm_right, WithCStarModule.max_le_prod_norm, norm_add_sub_norm_sub_le_two_mul_min, NormedRing.dist_eq, dist_midpoint_midpoint_le', Padic.add_eq_max_of_ne, NumberField.InfinitePlace.map_intCast, FormalMultilinearSeries.radius_eq_top_iff_summable_norm, Units.norm_pos, dist_algebraMap, MeasureTheory.lintegral_norm_eq_lintegral_edist, dist_self_div_left, Seminorm.smul_ball_zero, LinearIsometry.norm_toContinuousLinearMap_le, norm_add_mul_self_real, Inseparable.norm_eq_norm, norm_sub_rev, List.norm_prod, Irreducible.maximalIdeal_pow_eq_closedBall_pow, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq', zero_lt_one_add_norm_sq, gauge_smul, DifferentiableAt.norm, Complex.arg_eq_nhds_of_re_neg_of_im_pos, DilationEquiv.smulTorsor_preimage_ball, abs_norm, Complex.norm_prod, MeasureTheory.isTightMeasureSet_iff_tendsto_measure_norm_gt, MeasureTheory.lpNorm_eq_integral_norm_rpow_toReal, fderiv_norm_smul_pos, SeminormedSpace.Core.norm_nonneg, dist_right_lineMap, Complex.volume_sum_rpow_lt_one, MeasureTheory.L1.norm_sub_eq_lintegral, circleIntegrable_log_norm_sub_const, Asymptotics.IsLittleO.eventuallyLE, MeasureTheory.norm_indicatorConstLp', CStarAlgebra.star_right_conjugate_le_norm_smul, norm_apply_le_norm_cfcₙ, pi_norm_lt_iff', AddSubgroup.norm_normedMk, lp.norm_const_smul_le, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, WithLp.norm_toLp_snd, Complex.reCLM_norm, Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, ContinuousLinearMap.norm_snd_le, Submodule.coe_norm, ContinuousMap.norm_smul_const, FormalMultilinearSeries.summable_norm_mul_pow, norm_mul_le, dist_self_add_left, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_sub_two_mul_norm_mul_norm_mul_cos_angle, norm_algebraMap', Real.norm_rpow_of_nonneg, Orientation.eq_iff_norm_eq_of_oangle_eq_zero, Padic.norm_p, ContinuousMap.polynomial_comp_attachBound_mem, ContinuousLinearMap.opNorm_mulLeftRight_le, Complex.norm_exp_ofReal_mul_I, norm_add_pow_two, Padic.norm_natCast_p_sub_one, ContinuousLinearMap.norm_compLpL_le, HasCompactSupport.norm, LinearMap.toSeminormFamily_apply, hasGradientWithinAt_iff_tendsto, QuotientAddGroup.exists_norm_add_lt, norm_eq_sqrt_re_inner, unitary.norm_sub_one_sq_eq, Complex.tendsto_log_nhdsWithin_im_nonneg_of_re_neg_of_im_zero, norm_iteratedFDerivWithin_fderivWithin, lp.norm_eq_ciSup, AffineIsometryEquiv.norm_map, contDiff_norm_rpow, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq', coe_normGroupSeminorm, ContinuousMultilinearMap.opNorm_le_iff, PadicInt.norm_le_one, StrongDual.mem_polar_iff, Submodule.Quotient.norm_mk_le, tsum_sq_fourierCoeff, mem_closedBall_zero_iff, hasDerivAt_iff_tendsto, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, norm_iteratedFDeriv_smul_le, norm_sub_eq_norm_add, abs_real_inner_div_norm_mul_norm_eq_one_iff, Polynomial.supNorm_eq_iSup, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, Complex.norm_eq_sqrt_sq_add_sq, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, CStarAlgebra.norm_mem_spectrum_of_nonneg, InnerProductGeometry.cos_angle_sub_mul_norm_of_inner_eq_zero, ContinuousLinearMap.norm_adjoint_comp_self, unitary.norm_argSelfAdjoint_le_pi, QuotientGroup.norm_eq_groupSeminorm, GaussianFourier.verticalIntegral_norm_le, PadicInt.mem_nonunits, PadicInt.complete, SchwartzMap.integrable_pow_mul, Complex.borelCaratheodory, Orientation.cos_oangle_sub_left_of_oangle_eq_pi_div_two, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, NormedField.exists_norm_lt, re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, CStarAlgebra.isBasis_nonneg_sections, EisensteinSeries.isLittleO_const_left_of_properSpace_of_discreteTopology, ContinuousAlternatingMap.bound, Submodule.norm_orthogonalProjection, IsBoundedBilinearMap.bound, Asymptotics.isBigO_iff_eventually, Polynomial.norm_root_le_one_of_mahlerMeasure_eq_one, Asymptotics.IsBigOWith.bound, enorm_eq_iff_norm_eq, AffineSubspace.signedInfDist_apply_self, Bornology.IsBounded.exists_pos_norm_le, ContinuousLinearMap.opNorm_lsmul, MeasureTheory.hasFiniteIntegral_iff_norm, norm_le_insert, FormalMultilinearSeries.norm_changeOriginSeriesTerm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, norm_inf_le_add, ContinuousLinearMap.norm_id_of_nontrivial_seminorm, Unitary.norm_argSelfAdjoint_le_pi, SchwartzMap.isBigO_cocompact_zpow, QuotientGroup.norm_lt_iff, norm_inf_sub_inf_le_add_norm, ContinuousMultilinearMap.norm_def, NormedSpace.double_dual_bound, Matrix.cstar_norm_def, Asymptotics.IsBigO.norm_right, norm_sub_pow_two, MeasureTheory.Integrable.norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, ContinuousAlternatingMap.opNorm_pi, norm_injOn_ray_left, AddCircle.norm_eq', toReal_coe_nnnorm, ContinuousLinearMap.norm_snd, Complex.norm_two, Complex.norm_cpow_le, MeasureTheory.lpNorm_const, Complex.arg_eq_nhds_of_re_neg_of_im_neg, PiTensorProduct.injectiveSeminorm_tprod_le, Complex.isAbsoluteValueNorm, IsDedekindDomain.HeightOneSpectrum.embedding_mul_absNorm, equiv_lpPiLp_norm, ContinuousLinearMap.norm_holderL_le, LinearMap.polar_mem_iff, RCLike.sqrt_normSq_eq_norm, Asymptotics.IsBigOWith.const_mul_left, Seminorm.comp_smul_apply, NormedAddGroupHom.norm_def, Module.Basis.norm_extends, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, PiLp.norm_toLp, circleIntegrable_posLog_norm_meromorphicOn_of_nonneg, ContinuousMap.exists_mem_subalgebra_near_continuous_of_separatesPoints, norm_zpow_le_mul_norm, NormedSpace.norm_normalize, norm_iteratedFDeriv_zero, Orientation.norm_kahler, dist_midpoint_left, NumberField.FinitePlace.norm_le_one, norm_iteratedFDeriv_eq_norm_iteratedDeriv, norm_div_pos_iff, MeasureTheory.integrable_count_iff, norm_le_zero_iff', BoundedContinuousFunction.exists_norm_eq_restrict_eq, MeasureTheory.memLp_norm_iff, NormedCommGroup.tendsto_nhds_one, tendsto_norm_zero, PiLp.norm_eq_of_L2, ValueDistribution.proximity_coe, Besicovitch.SatelliteConfig.exists_normalized, smul_closedBall, Valued.integer.norm_coe_unit, dist_add_self_right, norm_units_zsmul, zero_lt_one_add_norm_sq', Polynomial.norm_coeff_le_choose_mul_mahlerMeasure, eventually_norm_trivializationAt_lt, hasCompactSupport_norm_iff, NormedAddGroupHom.opNorm_zero, PadicInt.norm_natCast_zmodRepr_eq_iff, norm_lt_iff_of_nonempty_compactlySupported, dist_zero_right, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, Submodule.Quotient.norm_mk_lt, ContinuousLinearMap.bound, PadicInt.coe_mul, Padic.complete, Orientation.norm_div_cos_oangle_sub_right_of_oangle_eq_pi_div_two, StrongDual.polar_singleton, spectralValueTerms_of_lt_natDegree, ordinaryHypergeometricSeries_norm_div_succ_norm, Complex.abs_cpow_inv_two_im, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, re_inner_le_norm, le_gauge_of_subset_closedBall, Asymptotics.isLittleO_pow_sub_sub, Complex.norm_le_sqrt_two_mul_max, MeasureTheory.integrable_fun_norm_addHaar, MeasureTheory.integral_norm_eq_pos_sub_neg, Orientation.oangle_add_left_eq_arccos_of_oangle_eq_pi_div_two, Ideal.Quotient.norm_mk_le, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, CFC.abs_smul, ZLattice.sum_piFinset_Icc_rpow_le, BoundedContinuousFunction.norm_eq_iSup_norm, CStarAlgebra.hasBasis_approximateUnit, DifferentiableOn.norm, norm_mul_sub_norm_div_le_two_mul_min, FormalMultilinearSeries.summable_norm_apply, norm_le_norm_div_add, ContinuousMultilinearMap.norm_constOfIsEmpty, NormedDivisionRing.norm_le_one_of_discrete, ContDiffOn.norm, hasFDerivWithinAt_iff_tendsto, NormMulClass.norm_mul, MeasureTheory.MemLp.integrable_norm_pow', Finset.norm_prod_le, Matrix.l2_opNorm_def, norm_toNNReal, Asymptotics.isBigOWith_inv, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, PadicInt.coe_add, norm_sub_mul_self_real, NumberField.InfinitePlace.Completion.Rat.norm_infinitePlace_completion, StrongDual.mem_polar_singleton, MeasureTheory.tendsto_integral_norm_approxOn_sub, tendsto_norm_comp_cofinite_atTop_of_isClosedEmbedding, Padic.norm_lt_pow_iff_norm_le_pow_sub_one, CauchySeq.isCauSeq, sqrt_one_add_norm_sq_le, Complex.re_eq_norm, ContinuousMultilinearMap.opNorm_prod, MeasureTheory.integrable_mconv_iff, Complex.norm_exp_I_mul_ofReal, VectorFourier.norm_fourierIntegral_le_integral_norm, real_inner_smul_self_right, Matrix.l2_opNorm_mul, Complex.norm_fderiv_le_div_of_mapsTo_ball, InnerProductGeometry.sin_angle_add, InnerProductGeometry.angle_add_eq_arcsin_of_inner_eq_zero, norm_innerSL_le, MeasureTheory.eLpNorm'_norm_rpow, Complex.isCauSeq_exp, MeasureTheory.norm_charFun_le, norm_inner_symm, LipschitzWith.norm_compLp_le, SeminormedAddGroup.disjoint_nhds, Complex.norm_intCast, ContinuousLinearMap.isLeast_opNorm, SeminormedAddGroup.dist_eq, MeasureTheory.measure_unitBall_eq_integral_div_gamma, CStarAlgebra.exists_sum_four_unitary, norm_sum_le, range_norm, Real.exists_extension_norm_eq, RCLike.norm_le_im_iff_eq_I_mul_norm, PadicInt.unitCoeff_coe, InnerProductGeometry.sin_angle_add_mul_norm_of_inner_eq_zero, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, gauge_closedBall, OpenPartialHomeomorph.univUnitBall_symm_apply, orthonormal_vecCons_iff, norm_mul_sub_norm_div_le_two_mul, Complex.norm_cpow_eq_rpow_re_of_pos, IsSelfAdjoint.le_algebraMap_norm_self, dist_norm_norm_le, Complex.norm_mul, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, Complex.borelCaratheodory_zero, Function.hasTemperateGrowth_one_add_norm_sq_rpow, Matrix.norm_replicateCol, intervalIntegral.norm_integral_min_max, ContDiffWithinAt.norm, ValueDistribution.abs_characteristic_sub_characteristic_shift_le, Module.Basis.norm_repr_le_norm, ContinuousWithinAt.norm', PadicInt.coe_dpow_eq, MeasureTheory.Integrable.integral_norm_condKernel, continuous_norm, Valued.toNormedField.norm_lt_one_iff, NumberField.mixedEmbedding.normAtComplexPlaces_apply_isComplex, BoundedContinuousFunction.dist_le_two_norm, Bornology.IsBounded.exists_pos_norm_le', Subgroup.norm_coe, dist_zero, norm_le_of_mem_closedBall', ContinuousLinearMap.dist_le_opNorm, RCLike.isCauSeq_re, norm_div_rev, HasLineDerivAt.le_of_lipschitz, PadicInt.coe_intCast, Orientation.norm_div_tan_oangle_sub_right_of_oangle_eq_pi_div_two, PadicInt.norm_natCast_p_sub_one, LinearMap.polar_mem, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, inner_eq_norm_sq_right_iff, MeasureTheory.lpNorm_exponent_top_eq_essSup, CFC.norm_sqrt, norm_fderiv_norm_id_rpow, norm_nonneg, ContinuousLinearMap.norm_holder_apply_apply_le, Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two, intervalIntegral.norm_integral_le_integral_norm_uIoc, WithLp.unitization_norm_inr, Orientation.rotation_oangle_eq_iff_norm_eq, SeminormedRing.toRingSeminorm_apply, Submodule.norm_subtypeL_le, Padic.padicNormE.image, WithLp.prod_norm_eq_of_L2, ModularForm.summable_eta_q, mul_mem_ball_iff_norm, Complex.norm_eq_one_of_pow_eq_one, ContinuousLinearMap.bound_of_antilipschitz, Asymptotics.isBigO_const_of_ne, NormedSpace.exists_lt_norm, NormedSpace.norm_normalize_eq_one_iff, CStarRing.norm_one, ContDiffPointwiseHolderAt.zero_order_iff, ContinuousLinearMap.NonlinearRightInverse.bound', SchwartzMap.one_add_le_sup_seminorm_apply, Submodule.exists_norm_eq_iInf_of_complete_subspace, norm_indicator_le_norm_self, padicNorm_two_harmonic, NonUnitalStarAlgHom.norm_apply_le, NormedAddCommGroup.tendsto_atTop', ContinuousMultilinearMap.norm_compContinuousLinearMap_le, Orthonormal.sum_inner_products_le, eventually_norm_mfderiv_extChartAt_lt, Padic.norm_int_le_pow_iff_dvd, Complex.IsExpCmpFilter.isTheta_cpow_exp_re_mul_log, tendsto_norm_sub_self_nhdsGE, Matrix.frobenius_norm_replicateRow, HasProd.norm, spectrum.subset_closedBall_norm, Padic.norm_p_zpow, EisensteinSeries.vec_add_const_isTheta, MeasureTheory.lpNorm_const', SchwartzMap.integrable_pow_mul_iteratedFDeriv, ContinuousLinearMap.norm_precompL_le, norm_add_sq_eq_norm_sq_add_norm_sq_real, OrthogonalFamily.summable_iff_norm_sq_summable, ContinuousLinearMap.norm_map_removeNth_le, norm_sup_sub_sup_le_norm, PiTensorProduct.mapLMultilinear_opNorm, AddCircle.norm_eq_of_zero, exists_forall_closed_ball_dist_add_le_two_mul_sub, MeasureTheory.norm_condExpIndL1Fin_le, ContinuousMultilinearMap.norm_image_sub_le', InnerProductGeometry.sin_angle_mul_norm_mul_norm, ValueDistribution.proximity_top, NumberField.InfinitePlace.apply, Polynomial.mahlerMeasure_le_sum_norm_coeff, EisensteinSeries.summand_bound, ProbabilityTheory.integrable_comp_iff, AffineIsometryEquiv.dist_pointReflection_self', norm_norm', Complex.neg_re_eq_norm, Submodule.orthogonalProjection_norm_le, NormedRing.toRingNorm_apply, Orientation.oangle_sub_right_eq_arctan_of_oangle_eq_pi_div_two, MeasureTheory.StronglyMeasurable.norm_approxBounded_le, Function.HasTemperateGrowth.isBigO_uniform, Valued.toNormedField.one_le_norm_iff, norm_cfcₙ_le_iff, NormedField.exists_lt_norm_lt, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, CStarRing.norm_coe_unitary, exists_forall_closed_ball_dist_add_le_two_sub, toReal_coe_nnnorm', CFC.norm_nnrpow, Complex.isCauSeq_re, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, Asymptotics.IsLittleO.def, RCLike.norm_of_nonneg', Orientation.cos_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, MeasureTheory.norm_condExpL2_le_one, HasCompactSupport.convolution_integrand_bound_right, isBigO_norm_restrict_cocompact, norm_add_lt_of_not_sameRay, Orientation.cos_oangle_eq_inner_div_norm_mul_norm, Measurable.norm, FormalMultilinearSeries.ofScalars_norm_eq_mul, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, Real.norm_nnratCast, norm_mul_le', sameRay_iff_norm_smul_eq, Orientation.norm_div_cos_oangle_sub_left_of_oangle_eq_pi_div_two, integrableOn_Ioi_deriv_norm_ofReal_cpow, Real.norm_eq_abs, HasCompactSupport.convolution_integrand_bound_right_of_subset, MeasureTheory.dist_indicatorConstLp_eq_norm, le_iff_norm_sqrt_mul_rpow, Complex.sin_arg, dist_one_right, mem_ball_zero_iff, balancedCore_eq_iInter, norm_sub_le_norm_sub_add_norm_sub, LipschitzWith.norm_compLp_sub_le, hasDerivWithinAt_iff_tendsto, norm_sub_pos_iff, antilipschitzWith_iff_exists_mul_le_norm, NumberField.house.basis_repr_norm_le_const_mul_house, Valued.integer.exists_norm_coe_lt_one, CauchySeq.mul_norm_bddAbove, ValueDistribution.proximity_sub_proximity_inv_eq_circleAverage, ContinuousLinearMap.norm_smulRightL_apply, inner_eq_ofReal_norm_sq_right_iff, Differentiable.norm, CStarAlgebra.exists_sum_four_nonneg, HasDerivAt.le_of_lipschitzOn, norm_lt_of_mem_ball, ContinuousMultilinearMap.fin0_apply_norm, lipschitzOnWith_iff_norm_sub_le, fderiv_norm_sq_apply, Real.norm_ofNat, RightDerivMeasurableAux.le_of_mem_A, Matrix.frobenius_norm_transpose, Complex.cos_arg, Real.posLog_norm_sum_le, NormedAddCommGroup.nhds_basis_norm_lt, SameRay.norm_eq_iff, norm_mul₃_le', PositiveLinearMap.preGNS_norm_sq, ContinuousMultilinearMap.norm_curryMid, Asymptotics.IsLittleO.norm_right, InnerProductGeometry.inner_eq_mul_norm_iff_angle_eq_zero, Quaternion.norm_toLp_equivTuple, ContinuousAlternatingMap.ratio_le_opNorm, ContinuousMultilinearMap.norm_mkPiAlgebraFin, NormedGroup.dist_eq, Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two, QuotientGroup.norm_mk_le_norm, MeasureTheory.norm_setToFun_le, MulAlgebraNorm.smul', norm_iteratedFDeriv_fderiv, Quaternion.exp_eq, MulAlgebraNorm.extends_norm, Matrix.linfty_opNorm_def, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, Complex.norm_natCast_cpow_of_re_ne_zero, fderiv_norm_sq, ContinuousLinearMap.opNorm_le_of_lipschitz, Int.Matrix.exists_ne_zero_int_vec_norm_le, Function.HasTemperateGrowth.isBigO, Asymptotics.isBigO_iff', NumberField.FinitePlace.norm_def, mulLeft_bound, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', Unitization.norm_inr, NNReal.norm_eq, ContinuousLinearMap.toSesqForm_apply_norm_le, InnerProductSpace.Core.sqrt_normSq_eq_norm, Real.norm_of_nonneg, SchwartzMap.isBigO_cocompact_rpow, CStarMatrix.norm_def, ContinuousAlternatingMap.norm_image_sub_le, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, MeasureTheory.Lp.norm_compMeasurePreserving, Matrix.norm_eq_sup_sup_nnnorm, norm_eq_of_mem_sphere', NormedAddGroupHom.norm_incl, tendsto_norm_cocompact_atTop, PadicInt.coe_pow, NormedAddTorsor.dist_eq_norm', Complex.abs_re_div_norm_le_one, SeminormedCommGroup.mem_closure_iff, MeasureTheory.hasFiniteIntegral_count_iff, Complex.UnitDisc.sq_norm_lt_one, dist_mul_self_right, GroupSeminormClass.toSeminormedCommGroup_norm_eq, RCLike.im_le_norm, Asymptotics.isLittleO_iff_nat_mul_le', Orientation.inner_mul_areaForm_sub, Circle.norm_smul, norm_inner_le_norm, IsUltrametricDist.norm_zpow_le, FormalMultilinearSeries.ofScalars_norm, ContinuousMultilinearMap.norm_ofSubsingleton_id, Complex.cpow_ofReal, Complex.equivRealProd_apply_le, Complex.lim_re, EisensteinSeries.div_max_sq_ge_one, circleIntegrable_log_norm_meromorphicOn_of_nonneg, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, SchwartzMap.norm_pow_mul_le_seminorm, NormedAddGroupHom.norm_id, MeasureTheory.Lp.simpleFunc.norm_toLp, TrivSqZeroExt.norm_inr, GroupNormClass.toNormedCommGroup_norm_eq, PiLp.norm_eq_card, Memℓp.bddAbove, InnerProductSpace.norm_rankOne, ZLattice.exists_finsetSum_norm_rpow_le_tsum, MeasureTheory.Measure.integrable_pow_neg_integrablePower, intervalIntegral.norm_integral_le_of_norm_le, ZLattice.abs_repr_le, norm_jacobiTheta₂_term_fderiv_le, norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero, ContinuousLinearEquiv.norm_pos, pi_norm_const_le, Int.norm_cast_real, GaussianFourier.integral_rexp_neg_mul_sq_norm, lp.tsum_mul_le_mul_norm, convexOn_norm, tendsto_iff_norm_sub_tendsto_zero, ContinuousMultilinearMap.uncurryRight_norm, Complex.norm_mul_sin_arg, Valued.integer.norm_irreducible_pos, RCLike.norm_of_nonneg, MeasureTheory.Lp.norm_def, Orthonormal.tsum_inner_products_le, Int.Matrix.exists_ne_zero_int_vec_norm_le', RCLike.norm_nnqsmul, pi_norm_le_iff_of_nonempty', NormedRing.norm_mul_le, norm_eq_sqrt_real_inner, NormedSpace.Core.norm_eq_zero_iff, Asymptotics.isBigOWith_pure, Asymptotics.isBigOWith_const_one, le_iff_norm_sqrt_mul_sqrt_inv, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, CauchySeq.norm_bddAbove, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, norm_add_sub_norm_sub_le_two_mul, Complex.lim_eq_lim_im_add_lim_re, LSeries.norm_term_le_of_re_le_re, norm_fst_le, controlled_prod_of_mem_closure, Matrix.permMatrix_l2_opNorm_eq, norm_inner_div_norm_mul_norm_eq_one_iff, lipschitzWith_one_norm, unitary.spectrum_subset_slitPlane_iff_norm_lt_two, InnerProductGeometry.norm_div_cos_angle_add_of_inner_eq_zero, Submodule.mem_iff_norm_starProjection, Quaternion.norm_star, Asymptotics.IsBigOWith.const_mul_right, AlgHom.norm_apply_le_self_mul_norm_one, SubgroupClass.coe_norm, Orientation.abs_volumeForm_apply_le, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding', one_add_norm_le_sqrt_two_mul_sqrt, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, PadicInt.norm_natCast_lt_one_iff, MeasureTheory.L1.norm_eq_integral_norm, IsUltrametricDist.norm_nsmul_le, norm_iteratedFDeriv_clm_apply_const, ModularGroup.coe_truncatedFundamentalDomain

NormedAddCommGroup

Definitions

Name	Category	Theorems
ofAddDist 📖	CompOp	—
ofAddDist' 📖	CompOp	—
ofSeparation 📖	CompOp	—
toAddCommGroup 📖	CompOp	3225 math, 1 bridge math: Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeasureTheory.MemLp.eLpNorm_indicator_le_of_meas, ValueDistribution.logCounting_zero, instSeparatingDual, TangentBundle.tangentMap_tangentBundle_pure, iteratedDeriv_scomp_two, MeromorphicOn.deriv, Real.Angle.abs_toReal_neg_coe_eq_self_iff, LinearMap.IsSymmetric.clm_adjoint_eq, Affine.Simplex.isTangentAt_insphere_iff_eq_touchpoint, Asymptotics.isBigO_const_const_iff, ContinuousMap.toLp_inj, Real.hasDerivAt_fourier, TemperedDistribution.lineDerivOpCLM_eq, closure_diff_intrinsicFrontier, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, Polynomial.differentiableWithinAt, EuclideanGeometry.Sphere.secondInter_neg, FormalMultilinearSeries.comp_rightInv_aux1, tendsto_zero_iff_meromorphicOrderAt_pos, NormedSpace.exp_neg_of_mem_ball, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, TemperedDistribution.fourierInv_toTemperedDistributionCLM_eq, IsBoundedLinearMap.differentiableAt, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_changeOrigin, hasStrictFDerivAt_apply, differentiableWithinAt_finCons', MeasureTheory.eLpNormEssSup_const_smul_le, Real.fourierInv_eq_fourier_neg, differentiableAt_comp_const_add, fderiv_snd, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, SchwartzMap.lineDerivOpCLM_eq, deriv_sub_const_fun, ConformalAt.differentiableAt, differentiableAt_comp_neg, MeromorphicAt.fun_iterated_deriv, hasDerivWithinAt_Iio_iff_Iic, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, AffineMap.hasStrictDerivAt_lineMap, LinearIsometryEquiv.comp_fderiv, MeasureTheory.Lp.instIsScalarTower, Real.Angle.neg_coe_abs_toReal_of_sign_nonpos, Filter.EventuallyEq.derivWithin_eq_of_nhds, MDifferentiableOn.clm_postcomp, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, SchwartzMap.neg_apply, ContinuousLinearEquiv.differentiable, hasDerivWithinAt_add_const_iff, FormalMultilinearSeries.comp_partialSum, tendsto_birkhoffAverage_apply_sub_birkhoffAverage', HasFTaylorSeriesUpTo.differentiable, MeasureTheory.withDensityᵥ_sub, Asymptotics.isBigO_zero_right_iff, Affine.Simplex.orthogonalProjectionSpan_map, taylorWithin_succ, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, differentiableOn_star_iff, derivWithin_zero_of_frequently_mem, SchwartzMap.integral_sesq_fourier_fourier, QuadraticMap.lineDeriv, hasStrictDerivAt_intCast, measurable_lineDeriv, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasFDerivAt_iff_hasGradientAt, MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, Isometry.preimage_perpBisector, MeasureTheory.LocallyIntegrableOn.neg, smooth_barycentric_coord, SchwartzMap.coe_zero, ValueDistribution.proximity_zero, curveIntegral_smul, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_face, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_1, CFC.monotoneOn_one_sub_one_add_inv, Real.fderiv_fourierIntegral, hasStrictFDerivAt_list_prod_finRange', Affine.Simplex.sSameSide_excenter_singleton_point, ExistsContDiffBumpBase.u_support, MeasureTheory.SimpleFunc.integral_piecewise_zero, ContDiff.fderiv_succ, EuclideanGeometry.oangle_eq_neg_of_angle_eq_of_sign_eq_neg, Affine.Simplex.neg_mul_lt_inner_vsub_altitudeFoot, ContinuousAffineMap.fderiv, MeasureTheory.unifTight_iff_real, iteratedDerivWithin_fun_const_zero, HasFiniteFPowerSeriesAt.neg, IsometryEquiv.toRealLinearIsometryEquiv_symm_apply, isSeparable_range_derivWithin, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, IsBoundedBilinearMap.hasFDerivAt, fderivWithin_comp_add_left, RightDerivMeasurableAux.D_subset_differentiable_set, ContinuousLinearMap.sSup_unit_ball_eq_norm, Function.locallyFinsuppWithin.toClosedBall_support_subset_closedBall, intervalIntegral.derivWithin_integral_of_tendsto_ae_left, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_midpoint_eq_center, ContinuousAffineMap.differentiableWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, InnerProductGeometry.angle_neg_self_of_nonzero, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, VectorField.lieBracketWithin_zero_left, hasFDerivAtFilter_pi, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, Asymptotics.isLittleO_const_left, curveIntegrable_segment, differentiableAt_zpow, hasFDerivAt_multiset_prod, MeasureTheory.integral_indicator₂, Orientation.oangle_eq_zero_iff_oangle_rev_eq_zero, ContDiffOn.smul_const, Affine.Simplex.finiteDimensional_direction_altitude, MeasureTheory.SimpleFunc.measure_support_lt_top_of_integrable, MDifferentiableAt.cle_arrowCongr, Manifold.IsImmersionAt.map_target_subset_target, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, iteratedDeriv_succ, CFC.monotone_nnrpow, AffineSubspace.mem_perpBisector_iff_inner_eq_zero', intervalIntegral.integral_derivWithin_uIcc_of_contDiffOn_uIcc, measurable_deriv_with_param, hasFTaylorSeriesUpToOn_top_iff_right, MeasureTheory.Lp.const_smul_mem_Lp, MeasureTheory.Lp.simpleFunc.toSimpleFunc_indicatorConst, MeasureTheory.MemLp.smul, Affine.Simplex.circumcenter_map, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, MDifferentiableWithinAt.differentiableWithinAt_mpullbackWithin_vectorField, intervalIntegral.integral_hasDerivWithinAt_right, deriv_mem_iff, Matrix.spectrum_toEuclideanLin, ContDiff.iteratedFDeriv_right, FormalMultilinearSeries.radius_pi_eq_iInf, MeasureTheory.norm_condExpL2_le, hasGradientAtFilter_const, ContinuousLinearEquiv.contDiff_comp_iff, SchwartzMap.pairing_apply_apply, ProbabilityTheory.Kernel.setIntegral_deterministic', MeasureTheory.Lp.instIsOrderedAddMonoid, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, IsLprojection.Lnorm, lineDerivWithin_zero_of_not_lineDifferentiableWithinAt, ImplicitFunctionData.isInvertible_fderiv_prodFun, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, TestFunction.coe_neg, mdifferentiableOn_iff, Orientation.eq_iff_norm_eq_and_oangle_eq_zero, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, EuclideanGeometry.Sphere.wbtw_secondInter, MeasureTheory.integral_indicator, ContDiff.hasStrictFDerivAt, Affine.Simplex.inv_height_eq_sum_mul_inv_dist, NormedSpace.invOf_exp_of_mem_ball, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_faceOpposite, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, Meromorphic.deriv, HasFTaylorSeriesUpTo.cont, meromorphicOrderAt_const, EuclideanGeometry.Cospherical.affineIndependent_of_mem_of_ne, ContinuousLinearMap.hasDerivAtFilter, Asymptotics.isLittleO_const_iff, HasFPowerSeriesAt.locally_ne_zero, mdifferentiableWithinAt_iff_of_mem_maximalAtlas, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, Real.Angle.cos_zero, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, ContinuousLinearMap.iSup_rayleigh_eq_iSup_rayleigh_sphere, AffineSpace.cobounded_eq_iSup_sphere_asymptoticNhds, MeasureTheory.lpNorm_neg, Affine.Simplex.circumcenter_mem_affineSpan, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, Affine.Simplex.affineSpan_pair_altitudeFoot_eq_altitude, dist_sq_lineMap_lineMap_of_inner_eq_zero, SchwartzMap.coeFn_zero, MeasureTheory.inner_condExpL2_left_eq_right, Orientation.rotation_eq_self_iff, Real.Angle.sign_neg_coe_nonpos_of_nonneg_of_le_pi, ContinuousMap.toLp_denseRange, Affine.Simplex.excenter_singleton_mem_affineSpan_range, not_bounded_iff_exists_ne_zero_mem_asymptoticCone, derivWithin_const, ContinuousLinearMap.integral_apply, differentiableWithinAt_neg_iff, Submodule.reflection_orthogonal_apply, hasFDerivAt_stereoInvFunAux, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, IsOpen.exists_subset_affineIndependent_span_eq_top, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, Asymptotics.isTheta_const_const_iff, Real.fderiv_fourierChar_neg_bilinear_right_apply, EuclideanGeometry.orthogonalProjection_congr, MeasureTheory.Lp.eq_zero_iff_ae_eq_zero, Real.fourier_continuousLinearMap_apply, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, Unitization.real_cfcₙ_eq_cfc_inr, intervalIntegral.fderiv_integral_of_tendsto_ae, ContDiffAt.fderiv_right_succ, LipschitzWith.memLp_lineDeriv, hasFPowerSeriesOnBall_pi_iff, Continuous.convolution_integrand_fst, BoxIntegral.Integrable.neg, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, Affine.Simplex.dist_point_faceOppositeCentroid, continuousOn_dslope, ContDiffMapSupportedIn.structureMapCLM_apply, HasFPowerSeriesWithinAt.const_smul, MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, MeasureTheory.setIntegral_measure_zero, deriv_comp_const_sub, HasFPowerSeriesWithinOnBall.restrictScalars, Real.Angle.sin_eq_zero_iff, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_right, Affine.Simplex.incenter_map, SchwartzMap.integral_bilin_fourierInv_eq, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, MeasureTheory.Integrable.tendsto_setIntegral_nhds_zero, HasFTaylorSeriesUpTo.hasFDerivAt, Real.Angle.sign_neg, hasDerivAt_neg', MeasureTheory.Measure.toSphere_apply_aux, Orientation.neg_rotation, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContMDiffOn.clm_postcomp, MeasureTheory.SimpleFunc.measure_support_lt_top_of_memLp, differentiable_fun_neg_iff, LinearMap.adjoint_eq_toCLM_adjoint, AffineSubspace.left_mem_perpBisector, zero_memℓp, ContinuousMap.range_toLp, EuclideanGeometry.preimage_inversion_perpBisector_inversion, NormedSpace.sphere_nonempty_rclike, MeasureTheory.average_zero_measure, deriv_mul_const_field, Affine.Triangle.sSameSide_affineSpan_pair_point_incenter, NormedRing.inverse_add_norm_diff_nth_order, Orientation.eq_rotation_self_iff_angle_eq_zero, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, derivWithin_fderivWithin, HasFDerivWithinAt.prodMap, derivWithin_natCast, Orientation.two_zsmul_oangle_neg_left, zero_mem_ℓp', Set.instTietzeExtensionUnitBall, IsometryEquiv.toRealLinearIsometryEquiv_apply, HasFDerivWithinAt.hasLineDerivWithinAt, MeasureTheory.integral_non_aestronglyMeasurable, TemperedDistribution.lineDerivOp_fourier_eq, ContDiffPointwiseHolderAt.isBigO, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, Module.Basis.ofZLatticeBasis_apply, ContinuousLinearMap.image_rayleigh_eq_image_rayleigh_sphere, Orientation.oangle_zero_left, Filter.EventuallyEq.lineDerivWithin_eq, ContDiffWithinAt.add, contMDiff_neg_sphere, tangentConeAt_nonempty_of_properSpace, not_differentiableAt_norm_zero, Pi.nnnorm_single, Continuous.integral_hasStrictDerivAt, SchwartzMap.bilinLeftCLM_apply, derivWithin_congr, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, EuclideanGeometry.oangle_eq_angle_or_eq_neg_angle, derivWithin_comp_const_sub, Affine.Triangle.sbtw_touchpoint_singleton, Affine.Triangle.dist_point_faceOppositeCentroid, differentiableOn_pi, AffineMap.hasDerivWithinAt, HasFPowerSeriesAt.eventually_hasSum, Affine.Simplex.mem_circumsphere, hasStrictFDerivAt_snd, HasFPowerSeriesAt.neg, Real.Angle.cos_eq_real_cos_iff_eq_or_eq_neg, CPolynomialOn.iterated_deriv, ContDiff.continuous_deriv_one, EuclideanGeometry.orthogonalProjection_contLinear, curveIntegralFun_smul, hasDerivAt_exp_zero_of_radius_pos, ContinuousAffineMap.differentiable, hasDerivWithinAt_iff_isLittleO, lp.eq_zero_iff_coeFn_eq_zero, EuclideanGeometry.Sphere.mem_commonExtTangents_iff, derivWithin_fun_const_smul_field, mdifferentiableWithinAt_iff_target_inter, differentiableWithinAt_fun_neg_iff, MeasureTheory.lintegral_enorm_neg, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, UniqueMDiffOn.uniqueDiffOn, lintegral_fderiv_lineMap_eq_edist, EuclideanGeometry.oangle_sign_eq_zero_iff_collinear, RCLike.normSq_neg, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, ContDiffOn.add, ContDiffAt.hasStrictDerivAt, tangentCoordChange_def, FormalMultilinearSeries.hasSum_of_finite, signedDist_right_congr, Filter.EventuallyEq.lineDeriv_eq, differentiableWithinAt_inv, IntervalIntegrable.neg, hasDerivAtFilter_ofNat, iteratedDerivWithin_const_zero, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, HasFPowerSeriesOnBall.restrictScalars, derivWithin_zero_of_frequently_const, DiffContOnCl.differentiableAt', ZSpan.smul, EuclideanGeometry.reflection_map, MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, Module.Basis.ofZLatticeComap_apply, AffineEquiv.continuous_of_finiteDimensional, MeasureTheory.SimpleFunc.integral_neg, ContinuousLinearMap.adjoint_id, ClosedSubmodule.inf_orthogonal, ContDiffWithinAt.fun_smul, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, tendsto_birkhoffAverage_apply_sub_birkhoffAverage, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, hasStrictFDerivAt_exp_smul_const_of_mem_ball', ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, WithCStarModule.prod_norm_sq, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, FDerivMeasurableAux.differentiable_set_subset_D, sum_cauchyPowerSeries_eq_integral, SchwartzMap.laplacianCLM_eq, CStarModule.innerSL_apply, LinearIsometryEquiv.conjStarAlgEquiv_apply, Affine.Simplex.ExcenterExists.affineCombination_eq_excenter_iff, EuclideanGeometry.oangle_self_left_right, contDiff_one_iff_fderiv, MeasureTheory.ConvolutionExistsAt.integrable, MeasureTheory.lpNorm_fun_zero, IsBoundedLinearMap.differentiableWithinAt, EuclideanGeometry.Sphere.mem_tangentsFrom_iff, InnerProductGeometry.angle_smul_left_of_neg, iter_deriv_zpow', MeasureTheory.lpNorm_fun_neg, Orientation.two_zsmul_oangle_neg_self_right, Complex.differentiableOn_dslope, IntervalIntegrable.zero, smul_unitClosedBall, TestFunction.continuous_iff_continuous_comp, LocallyBoundedVariationOn.ae_differentiableWithinAt, MeasureTheory.Measure.toSphere_real_apply_univ, Asymptotics.isBigOWith_zero_right_iff, BoxIntegral.integral_zero, TestFunction.toBoundedContinuousFunctionCLM_apply, Orientation.oangle_neg_right, stronglyMeasurable_derivWithin_Ioi, SchwartzMap.fderivCLM_apply, ContinuousLinearMap.smul_compLp, IsLocalMax.fderiv_eq_zero, MeasureTheory.setToFun_undef, Matrix.exp_neg, HasFPowerSeriesAt.add, differentiableWithinAt_sub_const_iff, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, EuclideanGeometry.Sphere.mem_commonTangents_iff, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, fderiv_const_smul_field, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, MeasureTheory.SimpleFunc.setToSimpleFunc_zero', intervalIntegral.deriv_integral_right, WithCStarModule.inner_def, hasFDerivWithinAt_inv, centerMass_mem_ball_of_strictConvexSpace, exists_dist_slope_lt_pairwiseDisjoint_hasSum, Affine.Simplex.excenterWeightsUnnorm_reindex, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, PointwiseConvergenceCLM.tendsto_nhds, ContMDiffAt.clm_postcomp, RCLike.ofReal_balance, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, ContDiffAt.continuousAt_fderiv, hasDerivWithinAt_pi, IsometryEquiv.midpoint_fixed, lineDifferentiableWithinAt_congr_set, Real.integrable_prod_sub, Orientation.oangle_smul_left_of_neg, deriv_const', ContinuousLinearMap.eq_adjoint_iff, deriv.star, ContDiffAt.fderiv_succ, MeasureTheory.Measure.addHaar_ball_of_pos, SchwartzMap.instLineDerivAdd, LinearMap.IsSymmetric.directSum_decompose_apply, mem_posTangentConeAt_of_frequently_mem, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, ZeroAtInftyContinuousMap.instNormedStarGroup, ContinuousLinearMap.IsPositive.smul_of_nonneg, fderiv_add_const, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, isClosed_nonneg, FormalMultilinearSeries.sum_of_finite, smul_unitClosedBall_of_nonneg, HasFTaylorSeriesUpToOn.zero_eq', stereographic'_source, interior_convexHull_nonempty_iff_affineSpan_eq_top, ContDiff.continuous_deriv, NormedSpace.Dual.toWeakDual_continuous, MeasureTheory.Lp.compMeasurePreservingₗ_apply, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff', signedDist_left_congr, ContinuousMap.toLp_norm_le, MeasureTheory.setIntegral_dirac, ContinuousLinearEquiv.contDiffAt_comp_iff, Affine.Simplex.ExcenterExists.touchpoint_map, ContDiffAt.add, differentiableAt_smul_iff, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, EuclideanGeometry.angle_eq_iff_oangle_eq_or_wbtw, RCLike.ofReal_comp_balance, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegralFun_segment, differentiable_finCons', MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, CircleIntegrable.neg, curveIntegral_neg, ZLattice.comap_discreteTopology, IsBoundedLinearMap.differentiable, FormalMultilinearSeries.radius_le_smul, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, MDifferentiable.clm_postcomp, ValueDistribution.logCounting_coe_eq_logCounting_sub_const_zero, ValueDistribution.proximity_coe_eq_proximity_sub_const_zero, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, Meromorphic.neg, CStarMatrix.toCLM_injective, ContinuousLinearMap.isPositive_self_comp_adjoint, dslope_eventuallyEq_slope_nhdsNE, Continuous.exists_contDiff_approx_and_eqOn, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, hasDerivAt_iff_isLittleO, Affine.Simplex.orthogonalProjectionSpan_eq_point, LocallyBoundedVariationOn.ae_differentiableAt, HasDerivWithinAt.hasFDerivWithinAt, BoxIntegral.hasIntegral_zero, MeasureTheory.HasFiniteIntegral.tendsto_setIntegral_nhds_zero, ContDiffAt.differentiableAt, hasFPowerSeriesAt_const, hasStrictFDerivAt_pi', HasFDerivAtFilter.neg, fderiv_eq_deriv_mul, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, HasFPowerSeriesOnBall.const_smul, Trivialization.zeroSection, signedDist_linear_apply_apply, ContinuousMultilinearMap.curry0_apply, Affine.Simplex.sSameSide_incenter_point, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, MeasureTheory.MemLp.exist_eLpNorm_sub_le, FormalMultilinearSeries.radius_compNeg, EuclideanGeometry.collinear_iff_of_two_zsmul_oangle_eq, Polynomial.differentiableOn_aeval, SchwartzMap.integral_bilin_fourierIntegral_eq, VectorField.lieBracketWithin_zero_right, EuclideanGeometry.oangle_midpoint_right, Affine.Simplex.ExcenterExists.excenter_map, mdifferentiableAt_iff, MeasureTheory.L1.SimpleFunc.setToL1S_neg, LinearIsometryEquiv.adjoint_eq_symm, extDeriv_fun_smul, ContinuousAlternatingMap.toAlternatingMap_curryLeft, ProbabilityTheory.HasGaussianLaw.neg, Orientation.neg_rotation_neg_pi_div_two, Matrix.toEuclideanLin_apply, IsContDiffImplicitAt.hasFDerivAt, ContinuousLinearMap.sSup_sphere_eq_nnnorm, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, EuclideanGeometry.orthogonalProjection_map, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, hasFDerivWithinAt_pi', MeasureTheory.ae_eq_zero_of_forall_inner, memℓp_zero_iff, iteratedDerivWithin_eq_iterate, TemperedDistribution.smulLeftCLM_neg, analyticOrderAt_eq_top, MeasureTheory.SimpleFunc.integral_eq_sum_filter, HasFDerivAt.arctan, AnalyticOn.neg, deriv_const_add', AnalyticAt.frequently_zero_iff_eventually_zero, MDifferentiable.cle_arrowCongr, hasFDerivAt_snd, Affine.Simplex.ExcenterExists.touchpoint_notMem_affineSpan_of_ne, EuclideanGeometry.Sphere.isTangentAt_of_dist_sq_eq_power, Affine.Simplex.abs_inner_vsub_altitudeFoot_div_lt_one, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, EuclideanGeometry.angle_eq_zero_iff_eq_and_ne_or_sbtw, MeasureTheory.Integrable.edist_toL1_zero, aemeasurable_lineDeriv_uncurry, HasFDerivAt.fun_smul, Function.HasTemperateGrowth.toTemperedDistribution_apply, Affine.Simplex.touchpoint_singleton_mem_interior_faceOpposite, ContinuousMultilinearMap.uncurrySum_apply, ContDiffPointwiseHolderAt.differentiableAt, ZLattice.comap_toAddSubgroup, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, EuclideanGeometry.oangle_rev, Affine.Simplex.excenterExists_reindex, MeasureTheory.Lp.finStronglyMeasurable, Real.Angle.sign_two_nsmul_eq_neg_sign_iff, Complex.analyticOnNhd_univ_iff_differentiable, SchwartzMap.integral_sesq_fourier_eq, MDifferentiableWithinAt.differentiableWithinAt_writtenInExtChartAt, MDifferentiableAt.differentiableAt, MeasureTheory.aestronglyMeasurable_condExpL2, RCLike.I_mul_I, EuclideanGeometry.Sphere.secondInter_collinear, Real.fderiv_fourier, ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, ValueDistribution.logCounting_const_zero, differentiable_apply, CStarMatrix.norm_def', analyticAt_neg, derivWithin_univ, MeasureTheory.Measure.addHaar_ball_mul, fderiv_neg, ZLattice.module_finite, MeasureTheory.L1.setToL1_zero_left, hasDerivAtFilter_natCast, Affine.Simplex.ninePointCircle_eq_circumsphere_medial, MeasureTheory.SimpleFunc.setToSimpleFunc_zero_apply, HasFPowerSeriesAt.differentiableAt, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, hasLineDerivWithinAt_zero, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, VectorField.lieBracket_swap, norm_curveIntegral_segment_le, derivWithin.fun_neg, VectorFourier.fourierIntegral_continuousLinearMap_apply, ContinuousAffineMap.norm_def, signedDist_le_dist, iteratedDeriv_succ', HasFDerivAtFilter.isThetaTVS_sub, EuclideanGeometry.Sphere.IsTangentAt.mem_space, iteratedDerivWithin_one, MeasureTheory.withDensityᵥ_neg', InnerProductSpace.Core.inner_neg_left, Affine.Simplex.circumcenter_reindex, Orientation.oangle_neg_left_eq_neg_right, SchwartzMap.fourier_lineDerivOp_eq, Manifold.IsImmersionAtOfComplement.map_target_subset_target, EuclideanGeometry.affineSpan_of_orthocentricSystem, TemperedDistribution.instLineDerivLeftSMulReal, meromorphicOrderAt_eq_top_iff, CStarMatrix.inner_toCLM_conjTranspose_left, AffineSubspace.mem_perpBisector_iff_inner_eq_zero, hasStrictDerivAt_exp_smul_const, AffineBasis.interior_convexHull, MeasureTheory.Integrable.neg, aestronglyMeasurable_lineDeriv, EuclideanGeometry.oangle_eq_zero_iff_angle_eq_zero, MeasureTheory.uniformIntegrable_iff, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, differentiable_euclidean, Filter.EventuallyEq.deriv, hasStrictDerivAt_add_const_iff, TemperedDistribution.fourierInv_lineDerivOp_eq, MeasureTheory.condExpL2_indicator_ae_eq_smul, Affine.Simplex.excenter_eq_affineCombination, Affine.Triangle.dist_div_sin_angle_eq_two_mul_circumradius, IsMIntegralCurveOn.hasDerivWithinAt, FormalMultilinearSeries.rightInv_removeZero, ClosedSubmodule.orthogonal_closure'', hasStrictDerivAt_exp_smul_const', Orientation.eq_zero_or_eq_zero_of_kahler_eq_zero, SchwartzMap.smulLeftCLM_real_smul, uniqueDiffWithinAt_iff_accPt, EuclideanGeometry.Sphere.commonIntTangents_union_commonExtTangents, Orientation.kahler_eq_zero_iff, contDiff_succ_iff_fderiv, ContinuousLinearEquiv.comp_differentiableOn_iff, MDifferentiableAt.clm_prodMap, ZLattice.rank, hasDerivAtFilter_zero, HasMFDerivAt.neg, AffineSubspace.perpBisector_nonempty, signedDist_apply_apply, ZSpan.quotientEquiv_apply_mk, MeasureTheory.setToFun_measure_zero, deriv.fun_neg', Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Orientation.oangle_smul_left_self_of_nonneg, Affine.Simplex.altitudeFoot_mem_affineSpan_image_compl, UnitAddTorus.mFourierCoeff_toLp, AntitoneOn.derivWithin_nonpos, norm_lineDeriv_le_of_lipschitz, SchwartzMap.differentiable, dist_eq, LinearIsometryEquiv.fderiv, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, ContinuousLinearMap.iInf_rayleigh_eq_iInf_rayleigh_sphere, ContinuousLinearMap.holderₗ_apply_apply, taylor_tendsto, dslope_sub_smul, hasDerivAt_id', MeasureTheory.IntegrableAtFilter.smul, HasFDerivAt.curveIntegral_segment_source, ContinuousMultilinearMap.curryRight_norm, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, MeasureTheory.memLp_const_iff, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left', ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, Affine.Simplex.finrank_direction_altitude, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, MDifferentiableAt.clm_postcomp, TemperedDistribution.instFourierAdd, ContDiffOn.sum, curveIntegral_fun_zero, ModelWithCorners.uniqueDiffOn_preimage, EuclideanGeometry.Sphere.IsDiameter.wbtw, gradient_fun_const, Affine.Simplex.mongePoint_mem_mongePlane, Real.Angle.sign_eq_zero_iff, Orientation.rotation_pi_apply, iteratedFDeriv_add_apply, deriv_fderiv, Affine.Simplex.isTangentAt_insphere_touchpoint, curveIntegralFun_symm_apply, ContDiffWithinAt.hasFDerivWithinAt_nhds, Affine.Simplex.excenterWeightsUnnorm_map, EuclideanGeometry.Sphere.IsExtTangentAt.wbtw, MeasureTheory.integral_condExpL2_eq, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, TemperedDistribution.instFourierSMul, HasFPowerSeriesWithinOnBall.differentiableOn, MeasureTheory.setIntegral_support, Orientation.oangle_eq_angle_or_eq_neg_angle, EuclideanGeometry.oangle_eq_zero_iff_oangle_rev_eq_zero, hasFPowerSeriesOnBall_const, Affine.Simplex.ExcenterExists.affineSpan_faceOpposite_eq_orthRadius, ContDiffMapSupportedIn.seminorm_le_iff, Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, MeasureTheory.condExp_zero, UniqueMDiffOn.uniqueDiffOn_target_inter, VectorFourier.hasFDerivAt_fourierIntegral, PadicInt.fwdDiff_tendsto_zero, Real.Angle.sin_neg, MeasureTheory.integral_undef, MeasureTheory.Measure.addHaar_unitClosedBall_eq_addHaar_unitBall, Module.Basis.coe_toOrthonormalBasis_repr, iteratedFDeriv_sum, MeasureTheory.convolution_precompR_apply, NormedSpace.eq_zero_iff_forall_dual_eq_zero, hasFDerivAt_finCons, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, HasMFDerivWithinAt.neg, InnerProductGeometry.angle_neg_right, lp.coeFn_single, hasFDerivWithinAt_finCons, MeasureTheory.setIntegral_condExpL2_indicator, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, contMDiff_coe_sphere, stronglyMeasurable_lineDeriv, stereographic_apply_neg, instCountable_of_discrete_submodule, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, differentiable_snd, BoxIntegral.integral_neg, MeasureTheory.Integrable.norm_toL1, EuclideanGeometry.oangle_eq_pi_iff_sbtw, ae_differentiableAt_norm, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, MeasureTheory.Integrable.smul, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, HasGradientWithinAt.differentiableWithinAt, VectorField.lieBracketWithin_self, TemperedDistribution.delta_apply, ContinuousAlternatingMap.curryLeft_apply_apply, affinity_unitClosedBall, curveIntegralFun_refl, Affine.Simplex.circumcenter_eq_affineCombination_of_pointsWithCircumcenter, InnerProductGeometry.angle_zero_right, DiffContOnCl.circleIntegral_eq_zero, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, differentiableWithinAt_pow, hasMFDerivAt_neg, Affine.Simplex.affineSpan_faceOpposite_eq_orthRadius_insphere, Real.fourierIntegralInv_eq_fourierIntegral_neg, AnalyticAt.deriv, MeasureTheory.ConvolutionExistsAt.integrable_swap, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, Real.Angle.two_zsmul_coe_pi, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, EuclideanGeometry.Sphere.orthRadius_center, Real.Angle.two_nsmul_eq_zero_iff, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, mem_posTangentConeAt_of_segment_subset, ContDiff.continuous_fderiv_apply, AffineMap.hasDerivAt_lineMap, FiniteDimensional.rclike_to_real, TemperedDistribution.instContinuousFourier, ContinuousMapZero.hasFiniteIntegral_of_bound, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, PhragmenLindelof.eq_zero_on_right_half_plane_of_superexponential_decay, Real.Angle.abs_toReal_neg, differentiableOn_dslope_of_notMem, IsLocalExtr.fderiv_eq_zero, derivWithin_congr_set', EuclideanGeometry.orthogonalProjection_apply', isOpenEmbedding_stereographic_symm, intervalIntegral.integral_hasDerivWithinAt_left, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, HasFPowerSeriesOnBall.fderiv_eq, RCLike.wInner_neg_right, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, EuclideanGeometry.Sphere.coe_secondInter, MeromorphicOn.fun_deriv, iteratedDerivWithin_const_sub, NormedSpace.inclusionInDoubleDual_norm_eq, differentiableAt_star_iff, SchwartzMap.smulLeftCLM_sum, MeasureTheory.integral_integral_indicator, AffineMap.hasDerivWithinAt_lineMap, MeasureTheory.LocallyIntegrable.neg, Orientation.oangle_neg_self_left, has_fderiv_at_filter_real_equiv, aestronglyMeasurable_deriv, RightDerivMeasurableAux.differentiable_set_subset_D, MeasureTheory.posConvolution_eq_convolution_indicator, LipschitzWith.ae_lineDifferentiableAt, EuclideanGeometry.oangle_midpoint_rev_left, stereo_left_inv, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, tendsto_integral_exp_smul_cocompact, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Affine.Triangle.touchpoint_singleton_sbtw, curveIntegral_segment, TestFunction.postcompCLM_apply, hasDerivAt_iff_tendsto_slope_left_right, deriv_id'', MeasureTheory.Integrable.neg', HasFTaylorSeriesUpToOn.hasFDerivWithinAt, Real.fourierIntegral_continuousLinearMap_apply, aemeasurable_deriv_with_param, Orientation.rotation_symm, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, Submodule.adjoint_subtypeL, lp.coeFn_zero, MeasureTheory.UnifIntegrable.indicator, IsSelfAdjoint.neg_algebraMap_norm_le_self, Affine.Simplex.exradius_map, ContinuousLinearMap.norm_smulRightL, FiniteDimensional.of_locallyCompact_manifold, deriv_const_mul_field', Orientation.oangle_eq_zero_iff_sameRay, Submodule.reflection_orthogonalComplement_singleton_eq_neg, ContinuousLinearEquiv.comp_fderiv, ExistsContDiffBumpBase.u_neg, derivWithin.neg, HasFDerivWithinAt.fun_smul, ContDiffAt.fderiv_right, iteratedDeriv_const_sub, MeasureTheory.convolution_def, Affine.Triangle.dist_circumcenter_reflection_orthocenter, HasStrictFDerivAt.prodMk, MeasureTheory.norm_condExpL2_coe_le, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, HasDerivAt.hasFDerivAt, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, HasFPowerSeriesOnBall.differentiableOn, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, deriv.neg, FDerivMeasurableAux.D_subset_differentiable_set, HasFPowerSeriesWithinOnBall.prod, MDifferentiableWithinAt.clm_precomp, IsBoundedBilinearMap.differentiableOn, FDerivMeasurableAux.differentiable_set_eq_D, MeromorphicAt.meromorphicTrailingCoeffAt_of_order_eq_top, deriv_zero, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, HasFDerivWithinAt.neg, hasStrictDerivAt_const_add_iff, SchwartzMap.delta_apply, Affine.Simplex.abs_inner_vsub_altitudeFoot_lt_mul, MeasureTheory.setToFun_top_smul_measure, ContinuousLinearEquiv.comp_right_fderiv, differentiableOn_finCons', derivWithin_ofNat, Asymptotics.isEquivalent_zero_iff_eventually_zero, ContDiffMapSupportedIn.hasCompactSupport, ZSpan.repr_ceil_apply, HasFPowerSeriesOnBall.uniform_geometric_approx, ProperCone.innerDual_zero, Set.Nonempty.intrinsicInterior, Real.Angle.sign_zero, Affine.Simplex.excenterWeights_reindex, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ZLattice.comap_equiv_apply, EuclideanGeometry.collinear_of_angle_eq_zero, IsBoundedLinearMap.differentiableOn, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, Asymptotics.IsBigO.eq_zero_of_norm_pow_within, ZLattice.FG, ContDiffAt.iteratedFDeriv_right, dist_affineCombination_lt_of_strictConvexSpace, HasFTaylorSeriesUpToOn.cont, measurable_deriv, coe_addEquiv_lpPiLp_symm, AnalyticOnNhd.fderiv_of_isOpen, exists_homeomorph_image_interior_closure_frontier_eq_unitBall, FormalMultilinearSeries.id_comp', Affine.Simplex.ExcenterExists.isTangentAt_touchpoint, differentiableAt_apply, analyticOrderAt_ne_zero, Affine.Simplex.inradius_reindex, ContinuousLinearMap.IsPositive.conj_adjoint, Real.Angle.coe_eq_zero_iff, Matrix.toEuclideanCLM_toLp, signedDist_eq_zero_of_orthogonal, EuclideanGeometry.preimage_inversion_perpBisector, InnerProductSpace.Core.inner_neg_right, FormalMultilinearSeries.coeff_eq_zero, MeasureTheory.condExp_neg, Real.hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, Affine.Simplex.incenter_mem_interior, Real.finrank_eq_int_finrank_of_discrete, Affine.Simplex.mongePoint_eq_affineCombination_of_pointsWithCircumcenter, derivWithin_const_add, fderiv_inverse, Affine.Simplex.altitudeFoot_map, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, HasFPowerSeriesOnBall.fderiv, lineDerivWithin_of_isOpen, ContMDiffOn.clm_precomp, hasGradientAt_iff_isLittleO_nhds_zero, Real.Angle.toReal_neg_eq_neg_toReal_iff, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, measurableSet_of_differentiableAt_of_isComplete, MeasureTheory.mem_lpMeas_indicatorConstLp, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, Convex.interior_nonempty_iff_affineSpan_eq_top, PiLp.hasFDerivAt_toLp, stereoInvFun_apply, Isometry.mapsTo_perpBisector, lp.single_apply_ne, EuclideanGeometry.Cospherical.affineIndependent_of_ne, Filter.EventuallyEq.hasDerivAt_iff, Manifold.IsImmersionAt.writtenInCharts, InnerProductSpace.rankOne_eq_zero, Polynomial.differentiable_aeval, Affine.Simplex.circumcenter_eq_point, MeasureTheory.Measure.addHaar_ball_center, hasDerivAt_deriv_iff, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, ContDiffBump.normed_neg, Real.Angle.toCircle_zero, MeasureTheory.Measure.toSphere_apply_univ, MeasureTheory.martingale_zero, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, MeromorphicAt.neg_iff, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, ContDiff.continuous_fderiv, hasGradientAt_const, continuousAt_dslope_same, MeasureTheory.SimpleFunc.memLp_iff_finMeasSupp, hasDerivAt_add_const_iff, hasDerivWithinAt_pow, hasDerivWithinAt_iff_hasFDerivWithinAt, MDifferentiableAt.differentiableWithinAt_writtenInExtChartAt, MeasureTheory.lintegral_nnnorm_condExpL2_le, EuclideanGeometry.oangle_eq_zero_iff_wbtw, StrongDual.toLp_of_not_memLp, HasFPowerSeriesOnBall.compContinuousLinearMap, StrongFEPair.hg₀, differentiableWithinAt_of_derivWithin_ne_zero, DiffContOnCl.deriv_eq_smul_circleIntegral, ContDiffMapSupportedIn.uniformSpace_eq_iInf, hasFDerivAt_apply, derivWithin_div_const, Pi.orthonormalBasis_apply, Matrix.piLp_ofLp_toEuclideanLin, NormedSpace.inclusionInDoubleDual_norm_le, stereographic'_target, hasFTaylorSeriesUpToOn_pi', curveIntegral_segment_const, hasDerivWithinAt_one, deriv_comp_add_const, Continuous.exists_contMDiff_approx, Affine.Simplex.signedInfDist_apply_self, TangentBundle.trivializationAt_apply, VectorFourier.iteratedFDeriv_fourierIntegral, TestFunction.coe_ofSupportedInCLM, ContDiffBump.normed_convolution_eq_right, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, ContinuousLinearMap.holder_smul_left, exists_mem_interior_convexHull_affineBasis, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, Real.differentiable_fourierIntegral, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, tendsto_zero_of_isBoundedUnder_smul_of_tendsto_cobounded, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, ContinuousLinearEquiv.differentiableAt, MeasureTheory.Lp.coeFn_smul, ContDiffBumpBase.support, signedDist_zero, MeasureTheory.hasFiniteIntegral_iff_edist, hasDerivAt_ofNat, Orientation.oangle_eq_zero_iff_angle_eq_zero, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, fderivWithin_sub_const, Asymptotics.IsTheta.eq_zero_iff, Function.HasTemperateGrowth.neg, Matrix.l2_opNNNorm_mulVec, aestronglyMeasurable_derivWithin_Ioi, hasFDerivAt_prodMk_left, MeromorphicOn.fun_iterated_deriv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, differentiableAt_inv_iff, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, MeasureTheory.eLpNorm'_neg, Affine.Simplex.ExcenterExists.sOppSide_excenter_point_iff, Affine.Simplex.incenter_notMem_affineSpan_face, LinearMap.deriv, uniqueDiffWithinAt_convex_of_isRCLikeNormedField, Continuous.fderiv, contDiff_iff_iteratedDeriv, EuclideanSpace.instIsManifoldSphere, Affine.Triangle.affineSpan_pair_eq_orthRadius, norm_fderiv_le_of_lipschitz, ProbabilityTheory.Kernel.setIntegral_deterministic, ContDiffMapSupportedIn.zero_on_compl', lp.single_neg, hasFDerivWithinAt_finCons', intervalIntegral.integral_cases, ContinuousLinearMap.adjoint_inner_left, PointwiseConvergenceCLM.isInducing_inducingFn, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderiv, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, Orientation.oangle_rotation_oangle_right, EuclideanGeometry.oangle_add_cyc3, CompactlySupportedContinuousMap.integrable, fderivWithin_const_add, Filter.EventuallyEq.lineDerivWithin_eq_nhds, MeasureTheory.integral_average_sub, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, MeasureTheory.Measure.instIsFiniteMeasureElemSphereOfNatRealToSphere, EuclideanGeometry.image_inversion_perpBisector, hasDerivAtFilter_id, ContDiff.sum, FormalMultilinearSeries.le_radius_compContinuousLinearMap, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, Affine.Simplex.mongePlane_def, Affine.Triangle.acuteAngled_iff_angle_lt, BoxIntegral.integralSum_neg, Orientation.oangle_add_oangle_rev, hasDerivAt_update, inner_neg_right, Orientation.oangle_self, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, FormalMultilinearSeries.compAlongComposition_bound, continuousMultilinearCurryRightEquiv_symm_apply, MeasureTheory.average_zero, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, Function.HasTemperateGrowth.zero, ContDiff.euclidean_dist, torusIntegral_neg, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, AnalyticWithinAt.differentiableWithinAt, lp.single_zero, MeasureTheory.integral_neg, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, hasFTaylorSeriesUpToOn_top_iff', LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, signedDist_triangle_left, Complex.IsExactOn.differentiableOn, TemperedDistribution.fourier_toTemperedDistributionCLM_eq, IsContMDiffRiemannianBundle.exists_contMDiff, Affine.Simplex.excenterExists_map, deriv_const_mul_field, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', hasDerivAtFilter_add_const_iff, ContDiffMapSupportedIn.zero_on_compl, isBounded_iff_asymptoticCone_subset_singleton, MeasureTheory.tendsto_indicator_ge, ContMDiffOn.cle_arrowCongr, Module.Basis.coe_toOrthonormalBasis_repr_symm, MeasureTheory.MemLp.eLpNormEssSup_indicator_norm_ge_eq_zero, MeasureTheory.SimpleFunc.memLp_approxOn_range, MDifferentiableOn.clm_prodMap, Affine.Simplex.vectorSpan_isOrtho_altitude_direction, iteratedFDeriv_tsum, ContinuousLinearMap.adjointAux_apply, Affine.Simplex.exsphere_reindex, Dense.eq_zero_of_mem_orthogonal, ContinuousAffineMap.norm_contLinear_le, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, ExistsContDiffBumpBase.w_support, EuclideanGeometry.reflection_eq_self_iff, MeasureTheory.UniformIntegrable.spec', LinearIsometryEquiv.comp_differentiableOn_iff, LinearIsometryEquiv.comp_differentiableAt_iff, differentiable_inner, HasFPowerSeriesWithinOnBall.sub, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, ContDiffWithinAt.continuousLinearMap_comp, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, HasFDerivWithinAt.prodMk, OrthonormalBasis.volume_parallelepiped, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', hasStrictFDerivAt_finCons, Affine.Simplex.altitudeFoot_mem_affineSpan, Module.Basis.ofZLatticeBasis_span, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, deriv_inv, contDiffOn_succ_iff_fderiv_of_isOpen, PointwiseConvergenceCLM.equivWeakDual_apply, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, norm_deriv_le_of_lipschitzOn, hasDerivAt_const, deriv_add_const', TemperedDistribution.fourierTransformInv_toTemperedDistributionCLM_eq, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', fderiv_const_add, IsometryEquiv.map_midpoint, iteratedDerivWithin_of_isOpen_eq_iterate, UniformSpace.Completion.norm_toComplL, Real.zero_at_infty_fourierIntegral, ContDiffOn.differentiableOn, iter_deriv_zpow, ContinuousMap.toLp_def, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, SchwartzMap.integral_bilin_fourier_eq, Orientation.oangle_rotation_self_left, SchwartzMap.zero_apply, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, MeasureTheory.integral_of_isEmpty, MDifferentiable.differentiable, mdifferentiableWithinAt_iff_image, affinity_unitBall, hasFTaylorSeriesUpToOn_succ_iff_right, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, ContinuousMultilinearMap.norm_map_init_le, ContinuousAlternatingMap.hasStrictFDerivAt, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.tsupport_lineDerivOp_subset, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, MeasureTheory.setIntegral_tsupport, LinearIsometryEquiv.conjStarAlgEquiv_refl, MeasureTheory.setToFun_smul_left, MeasureTheory.MemLp.const_smul, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, RCLike.ofReal_neg, contDiff_nat_iff_iteratedDeriv, EuclideanGeometry.image_inversion_sphere_dist_center, MeasureTheory.Lp.constₗ_apply, EuclideanGeometry.orthogonalProjection_subtype, iteratedFDeriv_neg_apply, VectorField.lieBracket_eq, fderiv_norm_smul_neg, MeasureTheory.condExp_of_not_integrable, SchwartzMap.toTemperedDistributionCLM_apply_apply, differentiableAt_fst, fderivWithin_fderivWithin_eq_of_eventuallyEq, ExistsContDiffBumpBase.u_exists, EuclideanGeometry.Sphere.sbtw_secondInter, AnalyticWithinAt.neg, MeasureTheory.condExp_of_not_le, curveIntegral_of_not_completeSpace, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_2, Real.deriv_fourierIntegral, TestFunction.coe_ofSupportedInLM, Affine.Triangle.sOppSide_affineSpan_pair_excenter_singleton_point, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, AnalyticAt.analyticOrderAt_deriv_add_one, MeasureTheory.condExp_indicator, ContDiffWithinAt.smul, hasFDerivAt_exp_smul_const', dense_differentiableAt_norm, Orientation.oangle_sign_neg_left, MeromorphicAt.iterated_deriv, TemperedDistribution.smulLeftCLM_sub, iteratedFDerivWithin_comp_sub, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, AffineSubspace.closed_of_finiteDimensional, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, hasFDerivAt_finCons', Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, contDiffPointwiseHolderAt_iff, ContinuousLinearMap.aestronglyMeasurable_comp₂, differentiableWithinAt_comp_sub, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, MeasureTheory.setToFun_indicator_const, strictConvexSpace_iff, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, Function.locallyFinsuppWithin.toClosedBall_divisor, PointwiseConvergenceCLM.equivWeakDual_symm_apply, hasDerivAt_of_tendstoUniformlyOn, EuclideanGeometry.oangle_midpoint_left, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, ContinuousAffineMap.contDiff, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, HasFDerivWithinAt.fun_neg, MeasureTheory.setToFun_zero_left, Affine.Simplex.circumsphere_unique_dist_eq, fderiv_const_smul_of_invertible, hasFDerivWithinAt_pow', ContDiffMapSupportedIn.structureMapLM_apply_withOrder, HasMFDerivWithinAt.hasFDerivWithinAt, HasFTaylorSeriesUpToOn.continuousLinearMap_comp, AffineMap.differentiableAt, hasStrictDerivAt_finCons', Asymptotics.isLittleO_id_one, Pi.enorm_single, meromorphicNFAt_iff_analyticAt_or, RCLike.sqrt_eq_real_add_ite, Submodule.reflection_mem_subspace_orthogonal_precomplement_eq_neg, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, MeasureTheory.Measure.addHaar_parallelepiped, VonNeumannAlgebra.mem_carrier, MeasureTheory.hasFiniteIntegral_neg_iff, differentiableOn_fun_neg_iff, hasStrictDerivAt_finCons, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, EuclideanGeometry.preimage_inversion_sphere_dist_center, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, fderivWithin_iteratedFDerivWithin, Orientation.rotation_neg_orientation_eq_neg, Orientation.eq_rotation_self_iff, mdifferentiable_iff, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le_of_meas, Orientation.areaForm'_apply, Asymptotics.isBigO_const_iff, MeasureTheory.hausdorffMeasure_lineMap_image, ContinuousLinearMap.nnnorm_holder_apply_apply_le, AffineMap.lipschitzWith_of_finiteDimensional, mdifferentiableWithinAt_iff_differentiableWithinAt, Affine.Triangle.dist_orthocenter_reflection_circumcenter, Polynomial.hasFDerivAt, TestFunctionClass.map_hasCompactSupport, isOpen_setOf_affineIndependent, tendsto_zero_of_meromorphicOrderAt_pos, signedDist_smul_of_pos, FormalMultilinearSeries.norm_compContinuousLinearMap_le, hasDerivAt_inv, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, Filter.EventuallyEq.hasLineDerivWithinAt_iff_of_mem, differentiableOn_add_const_iff, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, Submodule.orthogonal_orthogonal_eq_closure, MeasureTheory.condExpL1_neg, ContDiffAt.derivWithin, AnalyticOnNhd.preimage_zero_mem_codiscrete, Affine.Simplex.exradius_reindex, Affine.Simplex.ninePointCircle_reindex, eqOn_dslope_slope, MeasureTheory.Measure.addHaar_real_closedBall', intervalIntegral.integral_hasStrictFDerivAt, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, signedDist_lineMap_lineMap, contMDiffOn_continuousLinearMapCoordChange, ContinuousMultilinearMap.curryFinFinset_apply_const, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, ContDiffWithinAt.sum, differentiableAt_comp_const_sub, Affine.Triangle.dist_div_sin_oangle_eq_two_mul_circumradius, HasFPowerSeriesAt.hasStrictDerivAt, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, NumberField.Units.regOfFamily_of_isMaxRank, circleIntegral.integral_radius_zero, MeasureTheory.setIntegral_indicator, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, InnerProductGeometry.angle_zero_left, IsBoundedBilinearMap.differentiableAt, hasFDerivAt_list_prod_finRange', ContDiffOn.differentiableOn_one, HasStrictFDerivAt.neg, MeromorphicOn.fun_neg, HasGradientAt.hasFDerivAt, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, MeasureTheory.setToFun_neg, CStarMatrix.toCLM_apply_single, toMeromorphicNFOn_of_not_meromorphicOn, FormalMultilinearSeries.comp_id, differentiableWithinAt_star_iff, ContinuousMultilinearMap.hasStrictFDerivAt, iteratedDeriv_const_zero, fderivWithin_comp_smul_eq_fderivWithin_smul, Function.HasTemperateGrowth.fun_neg, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, signedDist_vadd_left_swap, FormalMultilinearSeries.cpolynomialAt_changeOrigin_of_finite, hasFTaylorSeriesUpTo_succ_nat_iff_right, OpenPartialHomeomorph.contDiffOn_univUnitBall_symm, iteratedFDeriv_add, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, HasFDerivWithinAt.norm_sq, ordinaryHypergeometric_radius_top_of_neg_nat₂, hasFDerivWithinAt_piLp, differentiableOn_piLp, ClosedSubmodule.iInf_orthogonal, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, Orientation.rotation_zero, HasFiniteFPowerSeriesOnBall.differentiableOn, HasFPowerSeriesOnBall.neg, MeasureTheory.SimpleFunc.setToSimpleFunc_neg, VectorFourier.fderiv_fourierIntegral, ContinuousLinearMap.uncurryBilinear_apply, ZSpan.coe_floor_self, HasFDerivWithinAt.smul_const, MeasureTheory.integral_posConvolution, EuclideanGeometry.OrthocentricSystem.affineIndependent, SchwartzMap.fourierInv_lineDerivOp_eq, Affine.Simplex.touchpointWeights_reindex, VectorFourier.integral_fourierIntegral_swap, ContDiffMapSupportedIn.tsupport_subset, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, Affine.Simplex.height_map, ZLattice.module_free, IsBoundedBilinearMap.hasFDerivWithinAt, instIsZLatticeRealSpan, Affine.Simplex.orthogonalProjection_circumcenter, ContinuousMap.toLp_norm_eq_toLp_norm_coe, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, hasDerivAtFilter_iff_isLittleO, CStarMatrix.toCLM_apply_eq_sum, VectorField.lieBracket_zero_right, differentiableOn_pow, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, hasDerivAt_exp_smul_const, mdifferentiableOn_iff_of_subset_source, WithCStarModule.pi_norm, Filter.EventuallyEq.derivWithin_eq, ContDiff.comp_continuousLinearMap, HasFiniteFPowerSeriesAt.eventually_zero_of_bound_zero, Orientation.oangle_neg_left, ContDiffMapSupportedIn.locallyConvexSpace, hasFDerivWithinAt_comp_smul_smul_iff, fourierCoeff_toLp, Orientation.oangle_rotation_oangle_left, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, differentiableAt_const_add_iff, StrongFEPair.hf₀, stronglyMeasurable_lineDeriv_uncurry, LinearMap.isPositive_toContinuousLinearMap_iff, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', derivWithin_mul_const_field, logDeriv_apply, iteratedDerivWithin_one_div, norm_inner_eq_norm_tfae, derivWithin_zero_of_notMem_closure, FormalMultilinearSeries.changeOrigin_eval_of_finite, iteratedDeriv_vcomp_three, MeasureTheory.condExp_def, signedDist_vadd_right, UniqueDiffWithinAt.smul_iff, HasStrictFDerivAt.arctan, curveIntegral_fun_neg, HasStrictDerivAt.hasStrictFDerivAt, Asymptotics.isLittleO_principal, differentiableAt_finCons, hasDerivAt_taylorWithinEval_succ, CFC.monotoneOn_one_sub_one_add_inv_real, FiniteDimensional.of_isCompact_closedBall, fderivWithin_add_const, intervalIntegral.deriv_integral_left, MeasureTheory.MemLp.toLp_neg, differentiableWithinAt_euclidean, analyticOrderAt_neg, ContinuousLinearMap.sSup_sphere_eq_norm, aestronglyMeasurable_derivWithin_Ici, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, Matrix.isPositive_toEuclideanLin_iff, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, lp.norm_eq_card_dsupport, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, ZSpan.isAddFundamentalDomain', continuousMultilinearCurryFin0_apply, Affine.Simplex.touchpoint_mem_affineSpan, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, HasFDerivWithinAt.mapsTo_tangent_cone, HasGradientAt.differentiableAt, ContDiffAt.hasStrictFDerivAt, Conformal.differentiable, FormalMultilinearSeries.radius_neg, Asymptotics.IsEquivalent.neg, extDeriv_smul, EuclideanGeometry.oangle_eq_zero_or_eq_pi_iff_collinear, homeomorphUnitSphereProd_symm_apply_coe, Orientation.rightAngleRotation_rightAngleRotation, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, intervalIntegral.integral_non_aestronglyMeasurable, IsSelfAdjoint.conj_adjoint, ZLattice.covolume.tendsto_card_le_div', ContinuousMultilinearMap.curryMidEquiv_apply, StrictConvexSpace.strictConvex_closedBall, Real.Angle.cos_eq_iff_coe_eq_or_eq_neg, fderiv_sub_const, ContinuousLinearMap.analyticOnNhd_bilinear, MDifferentiableAt.mfderiv, ProbabilityTheory.indepFun_iff_charFunDual_prod', Affine.Simplex.direction_mongePlane, intervalIntegral.derivWithin_integral_right, MonotoneOn.derivWithin_nonneg, NormedSpace.invOf_exp, hasFiniteFPowerSeriesOnBall_const, Affine.Simplex.dist_point_centroid, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, iteratedFDerivWithin_succ_apply_left, hasStrictFDerivAt_norm_sq, MeasureTheory.MemLp.exists_hasCompactSupport_integral_rpow_sub_le, Affine.Simplex.altitudeFoot_reindex, SchwartzMap.fourier_evalCLM_eq, LatticeOrderedAddCommGroup.isSolid_ball, HasCompactMulSupport.eq_one_or_finiteDimensional, LinearIsometryEquiv.comp_differentiableWithinAt_iff, support_deriv_subset, ContDiff.differentiable_iteratedDeriv, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Affine.Simplex.affineCombination_eq_touchpoint_iff, MeasureTheory.setAverage_sub_setAverage, MeasureTheory.L1.SimpleFunc.setToL1S_zero_left', contDiffOn_infty_iff_fderiv_of_isOpen, hasDerivWithinAt_natCast, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, Orientation.oangle_zero_right, SchwartzMap.hasFDerivAt, fderiv_pow_ring', differentiableAt_piLp, differentiableWithinAtProp_self_source, TemperedDistribution.instLineDerivSMulReal, intervalIntegral.integral_symm, iteratedDeriv_comp_neg, MeromorphicOn.neg, MeasureTheory.setIntegral_empty, intervalIntegral.integral_same, Affine.Simplex.altitudeFoot_mem_altitude, MDifferentiableWithinAt.mfderivWithin, Orientation.rotation_eq_self_iff_angle_eq_zero, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, Polynomial.differentiableAt_aeval, PowerSeries.IsRestricted.neg, MeasureTheory.Measure.toTemperedDistribution_apply, Filter.EventuallyEq.lineDifferentiableWithinAt_iff_of_mem, Complex.analyticOn_iff_differentiableOn, tendsto_integral_exp_smul_cocompact_of_inner_product, hasDerivAt_id, differentiable_pi, contDiff_smul_const, HasFTaylorSeriesUpToOn.fderivWithin, CStarMatrix.toCLM_apply, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_affineIndependent, Affine.Triangle.affineSpan_orthocenter_point_le_altitude, BoxIntegral.HasIntegral.neg, differentiableAt_norm_smul, instModuleFinite_of_discrete_submodule, FiniteDimensional.of_locallyCompactSpace, FormalMultilinearSeries.id_comp, ContinuousLinearMap.norm_map_tail_le, aestronglyMeasurable_lineDeriv_uncurry, deriv_update, HasFPowerSeriesAt.restrictScalars, hasDerivAt_integral_of_dominated_loc_of_deriv_le, intervalIntegral.integral_of_ge, ContinuousLinearMap.instStarModuleId, ContDiff.smul_const, EuclideanGeometry.Cospherical.affineIndependent, Polynomial.hasFDerivAt_aeval, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, deriv_zpow', Besicovitch.SatelliteConfig.centerAndRescale_center, MeasureTheory.setIntegral_neg_eq_setIntegral_nonpos, norm_fderiv_iteratedFDeriv, curveIntegralFun_neg, conformalFactorAt_inner_eq_mul_inner', hasFDerivAtFilter_snd, MeasureTheory.DominatedFinMeasAdditive.eq_zero_of_measure_zero, TemperedDistribution.fourier_lineDerivOp_eq, Matrix.l2_opNNNorm_def, hasDerivAtFilter_sub_const_iff, EuclideanGeometry.Sphere.IsTangentAt_of_angle_eq_pi_div_two, spectrum.hasDerivAt_resolvent, TemperedDistribution.fourier_delta_zero, ContinuousLinearMap.adjointAux_adjointAux, ImplicitFunctionData.differentiableAt_implicitFunction, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, MeasureTheory.Lp.simpleFunc.neg_toSimpleFunc, dslope_same, hasDerivAt_exp, ZSpan.span_top, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, contDiffOn_succ_iff_deriv_of_isOpen, hasFDerivAt_single, signedDist_lineMap_left, iteratedDerivWithin_neg, ContMDiffAt.clm_precomp, selfAdjoint.realPart_unitarySelfAddISMul, MeasureTheory.condExpL2_indicator_of_measurable, inner_self_eq_zero, iter_deriv_pow', SchwartzMap.tsupport_iteratedLineDerivOp_subset, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, ImplicitFunctionData.hasStrictFDerivAt, MeasureTheory.MemLp.finStronglyMeasurable_of_stronglyMeasurable, UniqueMDiffWithinAt.uniqueDiffWithinAt, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, HasFTaylorSeriesUpToOn.hasFDerivAt, hasStrictFDerivAt_inv, hasFiniteFPowerSeriesAt_const, MDifferentiable.clm_prodMap, deriv_neg'', ContinuousLinearMap.isSelfAdjoint_iff', measurable_fderiv_apply_const, stereographic_neg_apply, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, MeasureTheory.withDensityᵥ_neg, Affine.Simplex.sOppSide_excenter_singleton_point, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Real.fourierInv_eq_fourier_comp_neg, ContinuousMultilinearMap.uncurryRight_apply, TestFunction.coe_zero, fderiv_inv, MeromorphicAt.fun_deriv, NormedSpace.normalize_smul_of_neg, derivWithin_comp_mul_left, HasFDerivAtFilter.prodMk, curveIntegralFun_fun_zero, EuclideanGeometry.oangle_homothety, MeasureTheory.integral_fun_norm_addHaar, Affine.Simplex.ExcenterExists.sOppSide_point_excenter_iff, signedDist_anticomm, dslope_of_ne, ZSpan.map, HasCompactSupport.eq_zero_or_finiteDimensional, SchwartzMap.smulLeftCLM_add, norm_deriv_le_of_lipschitz, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, TemperedDistribution.laplacian_eq_sum, MeasureTheory.eLpNorm_indicator_le_of_bound, Affine.Simplex.dist_circumcenter_eq_circumradius, curveIntegralFun_def', WithCStarModule.pi_inner, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, MeasureTheory.eLpNorm_neg, MeromorphicAt.fun_neg, contDiffOn_fderiv_coord_change, HasFPowerSeriesWithinAt.differentiableWithinAt, ZSpan.exist_unique_vadd_mem_fundamentalDomain, ContDiff.iterate_deriv, ZSpan.fundamentalDomain_subset_parallelepiped, MeasureTheory.setToFun_measure_zero', MeasureTheory.integral_neg', MeasureTheory.hausdorffMeasure_homothety_image, HasFTaylorSeriesUpToOn.differentiableAt, eq_lineMap_of_dist_eq_mul_of_dist_eq_mul, hasDerivAt_iff_hasFDerivAt, WithCStarModule.norm_single, ProbabilityTheory.HasGaussianLaw.fun_neg, ContDiff.deriv', MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasFiniteFPowerSeriesOnBall.neg, derivWithin_intCast, ContinuousMapZero.norm_def, TemperedDistribution.instContinuousLineDeriv, VectorField.lieBracket_self, WithCStarModule.prod_norm, norm_derivWithin_eq_norm_fderivWithin, differentiableWithinAt_dslope_of_ne, Pi.norm_single, contDiff_succ_iff_fderiv_apply, Orientation.oangle_add_cyc3, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, fderiv_update, dist_add_dist_eq_iff, Real.fourier_bilin_convolution_eq, CStarMatrix.mul_entry_mul_eq_inner_toCLM, MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_le, EuclideanGeometry.Sphere.IsTangentAt.mem_and_mem_iff_eq, homeomorphSphereProd_symm_apply_coe, RCLike.sqrt_neg_one, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, Diffeomorph.uniqueDiffOn_image, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, EuclideanGeometry.collinear_iff_eq_or_eq_or_sin_eq_zero, HasFDerivAt.smul_const, ContinuousLinearMap.norm_uncurryMid, real_inner_self_nonpos, ContDiff.fderiv_apply, SchwartzMap.tendsto_cocompact, ContinuousLinearMap.uncurryLeft_norm, hasFDerivAtFilter_fst, differentiableWithinAt_comp_add_right, EuclideanGeometry.Sphere.IsDiameter.sbtw, circleIntegral.integral_undef, MeasureTheory.AEStronglyMeasurable.fourierPowSMulRight, ContinuousLinearMap.holder_smul_right, HasFPowerSeriesOnBall.tendstoUniformlyOn', AffineSubspace.mem_perpBisector_iff_inner_eq_inner, Pretrivialization.continuousLinearMap.isLinear, HasFPowerSeriesWithinOnBall.const_smul, intervalIntegral.deriv_integral_of_tendsto_ae_right, fderiv_apply_one_eq_deriv, HasFTaylorSeriesUpToOn.compContinuousLinearMap, Orientation.oangle_neg_self_right, HasFPowerSeriesOnBall.sub, EuclideanGeometry.Sphere.IsTangent.infDist_eq_radius, SchwartzMap.integral_sesq_fourierIntegral_eq, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, MeasureTheory.condExpL1CLM_lpMeas, measurableSet_of_differentiableAt, Module.Basis.coe_parallelepiped, Affine.Simplex.inner_vsub_altitudeFoot_vsub_altitudeFoot_eq_zero, contDiff_add, curveIntegral_symm, SchwartzMap.integral_bilinear_laplacian_right_eq_left, ZLattice.covolume_eq_det_mul_measureReal, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', NormedSpace.normalize_eq_zero_iff, MeasureTheory.eLpNorm_indicator_sub_indicator, mdifferentiableWithinAt_iff', ContDiff.continuous_iteratedFDeriv', homeomorphUnitSphereProd_apply_fst_coe, MeasureTheory.unifTight_iff_ennreal, LeftInvariantDerivation.coe_neg, LipschitzWith.ae_differentiableAt, StrongDual.toLpₗ_apply, Affine.Simplex.dist_circumcenter_eq_circumradius', EuclideanGeometry.Sphere.IsTangent.notMem_of_dist_lt, signedDist_triangle_right, iteratedDerivWithin_const, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, curveIntegral_refl, PadicInt.fwdDiff_iter_le_of_forall_le, ZSpan.instDiscreteTopologySubtypeMemSubmoduleIntSpanRangeCoeBasisRealOfFinite, EuclideanGeometry.Sphere.IsIntTangentAt.wbtw, Complex.analyticOn_univ_iff_differentiable, differentiable_const_add_iff, Polynomial.differentiableOn, Pi.orthonormalBasis.toBasis, constFormalMultilinearSeries_apply_of_nonzero, HasFTaylorSeriesUpToOn.add, EuclideanGeometry.Sphere.IsTangentAt.le_orthRadius, differentiableOn_neg, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, abs_signedDist_eq_dist_iff_vsub_mem_span, MDifferentiableOn.cle_arrowCongr, differentiableAt_fun_neg_iff, WithCStarModule.inner_single_right, differentiableOn_neg_iff, MeasureTheory.Measure.addHaar_real_closedBall_center, EuclideanGeometry.Concyclic.Coplanar, Affine.Simplex.ExcenterExists.isTangentAt_exsphere_iff_eq_touchpoint, LinearMap.IsSymmetric.direct_sum_isInternal, EuclideanGeometry.oangle_self_right, Submodule.det_reflection, deriv_neg', deriv_zero_of_frequently_const, Orientation.kahler_rotation_left', MeasureTheory.Measure.addHaar_affineSubspace, IsBoundedBilinearMap.fderiv, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, lineDeriv_zero, derivWithin_zero_of_not_accPt, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_pair, HasMFDerivAt.hasFDerivAt, MeasureTheory.eLpNorm_const_smul_le, Affine.Simplex.pointsWithCircumcenter_point, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent, InnerProductGeometry.angle_self_neg_of_nonzero, contDiff_neg, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, Real.Angle.sign_two_zsmul_eq_neg_sign_iff, Filter.EventuallyEq.derivWithin_eq_of_mem, MeasureTheory.SimpleFunc.setToSimpleFunc_indicator, CPolynomialOn.deriv, Affine.Simplex.mongePoint_reindex, MeasureTheory.DominatedFinMeasAdditive.eq_zero, Filter.EventuallyEq.deriv_eq, Affine.Triangle.affineSpan_pair_eq_orthRadius_insphere, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, EuclideanGeometry.cospherical_or_collinear_of_two_zsmul_oangle_eq, ZLattice.exists_forall_abs_repr_le_norm, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, AnalyticAt.iterated_deriv, hasStrictFDerivAt_pow', EuclideanGeometry.angle_homothety, Polynomial.hasStrictDerivAt_aeval, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, MeasureTheory.Lp.simpleFunc.toLp_zero, AnalyticOnNhd.deriv_of_isOpen, differentiableAt_iff_comp_const_sub, Affine.Simplex.altitude_reindex, MDifferentiableAt.clm_precomp, ContDiffMapSupportedIn.postcompCLM_apply, LinearPMap.isSelfAdjoint_def, TemperedDistribution.smulLeftCLM_add, ContinuousAlternatingMap.curryLeft_zero, signedDist_neg, norm_lineDeriv_le_of_lipschitzOn, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, MDifferentiableWithinAt.differentiableWithinAt, ContinuousLinearEquiv.comp_right_differentiableOn_iff, hasGradientAt_iff_hasFDerivAt, MeasureTheory.Lp.coeFn_nonneg, MeasureTheory.Martingale.neg, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, MeasureTheory.setToFun_non_aestronglyMeasurable, intervalIntegral.derivWithin_integral_of_tendsto_ae_right, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, HasFDerivAt.hasLineDerivAt, HasFPowerSeriesWithinAt.prod, iteratedFDeriv_succ_apply_right, FormalMultilinearSeries.leftInv_coeff_one, apply_eq_zero_of_analyticOrderAt_ne_zero, sameRay_iff_inv_norm_smul_eq, Real.Convex.dimH_eq_finrank_vectorSpan, mdifferentiableOn_continuousLinearMapCoordChange, derivWithin_one, hasDerivAtFilter_intCast, MeasureTheory.Submartingale.neg, fderiv_deriv, MDifferentiableAt.neg, hasFPowerSeriesAt_pi_iff, mfderivWithin_eq_fderivWithin, MeasureTheory.Lp.coeFn_lpSMul, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le, TestFunction.tsupport_subset, hasDerivWithinAt_univ, MeasureTheory.IntegrableAtFilter.neg, MeasureTheory.Lp.simpleFunc.coeFn_zero, iteratedDeriv_fun_const_zero, gradient_const, differentiableAt_add_const_iff, ContinuousLinearEquiv.contDiffWithinAt_comp_iff, uniqueMDiffWithinAt_iff, continuous_barycentric_coord, signedDist_vsub_self_rev, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, Orientation.neg_rotation_pi_div_two, deriv_sub_const, ProperCone.relative_hyperplane_separation, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, HasFPowerSeriesAt.hasFDerivAt, hasStrictFDerivAt_finCons', HasFPowerSeriesWithinOnBall.compContinuousLinearMap, HasFPowerSeriesOnBall.eventually_hasSum, DifferentiableWithinAtProp_self, signedDist_linear_apply, FormalMultilinearSeries.zero_radius, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, hasStrictDerivAt_const, hasStrictFDerivAt_list_prod_attach', MDifferentiableOn.differentiableOn, deriv_single, stronglyMeasurable_deriv, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, tangentConeAt_real_subset_isRCLikeNormedField, range_deriv_subset_closure_span_image, Module.Basis.parallelepiped_eq_map, ContDiffMapSupportedIn.norm_apply_le_seminorm, measurable_lineDeriv_uncurry, ZLattice.covolume.tendsto_card_div_pow', MeasureTheory.Lp.instIsCentralScalar, SchwartzMap.hasDerivAt, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, iteratedDeriv_comp_two, Affine.Simplex.incenter_eq_affineCombination, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, lineDeriv_zero_of_not_lineDifferentiableAt, signedDist_self, iteratedDeriv_eq_iterate, FormalMultilinearSeries.analyticOnNhd, fderiv_comp_add_right, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasDerivAtFilter_iff_tendsto, HasFPowerSeriesAt.eventually_differentiableAt, MeasureTheory.Integrable.aefinStronglyMeasurable, ContinuousAffineMap.hasFDerivAtFilter, ContDiffOn.continuousOn_fderiv_of_isOpen, signedDist_vsub_self, EuclideanGeometry.inversion_mul, ContDiffOn.continuousLinearMap_comp, stereographic_target, ContDiff.smul, MeromorphicNFOn.zero_set_eq_divisor_support, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, signedDist_smul, MeasureTheory.convolution_zero, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, MeasureTheory.integral_indicator₀, TemperedDistribution.fourierTransform_apply, NormedSpace.eq_zero_of_forall_dual_eq_zero, Real.circleAverage.integral_undef, mdifferentiableAt_neg, HasFTaylorSeriesUpToOn.prodMk, ContDiff.add, isSeparable_range_deriv, hasDerivAtFilter_finCons', MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, ContinuousMap.toLp_injective, hasStrictFDerivAt_fst, Matrix.toEuclideanLin_eq_toLin, MeasureTheory.setIntegral_dirac', UniqueMDiffOn.uniqueDiffOn_inter_preimage, Affine.Simplex.sOppSide_point_excenter_singleton, MeasureTheory.Filtration.memLp_limitProcess_of_eLpNorm_bdd, mdifferentiableWithinAt_iff_target_inter', StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, ContinuousAffineMap.hasFDerivAt, MeasureTheory.MemLp.integral_indicator_norm_ge_le, deriv.fun_neg, AffineSubspace.mem_perpBisector_iff_dist_eq', support_iteratedFDeriv_subset, MeromorphicOn.neg_iff, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, hasStrictFDerivAt_finset_prod, AnalyticOnNhd.deriv, fderiv_fun_neg, intervalIntegral.differentiable_integral_of_continuous, curveIntegral_zero, deriv_zpow, LipschitzWith.locallyIntegrable_lineDeriv, Affine.Simplex.ninePointCircle_center_mem_affineSpan, gradient_const', InnerProductSpace.rankOne_comp, inner_eq_neg_one_iff_of_norm_eq_one, ContinuousAffineMap.norm_image_zero_le, Asymptotics.isLittleO_zero_right_iff, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, MeasureTheory.MemLp.neg, hasFPowerSeriesWithinAt_pi_iff, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, hasDerivAt_iff_isLittleO_nhds_zero, SchwartzMap.tsupport_smulLeftCLM_subset, PadicInt.hasSum_mahler, differentiableAt_comp_add_left, deriv_const, Real.Angle.toReal_eq_zero_iff, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, MeasureTheory.lpNorm_zero, differentiableAt_euclidean, hasFDerivAtFilter_finCons, AffineSubspace.perpBisector_eq_top, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, iteratedFDeriv_smul_const_apply, EuclideanGeometry.orthogonalProjection_mem, mdifferentiableOn_iff_of_mem_maximalAtlas', Orientation.oangle_smul_right_of_neg, ContinuousMap.coe_toLp, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, LipschitzOnWith.ae_differentiableWithinAt_real, HasFPowerSeriesAt.deriv, IsBoundedBilinearMap.hasStrictFDerivAt, differentiable_pow, MeasureTheory.Supermartingale.neg, uniqueMDiffWithinAt_iff_inter_range, Orientation.two_zsmul_oangle_neg_self_left, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, MeasureTheory.SimpleFunc.integrable_approxOn_range, ContMDiffAt.clm_prodMap, ContinuousLinearEquiv.fderiv, Asymptotics.isLittleO_pure, SchwartzMap.tsupport_fderivCLM_subset, measurableSet_lineDifferentiableAt_uncurry, ContDiffAt.smul_const, Continuous.exists_contMDiff_approx_and_eqOn, AffineSubspace.midpoint_mem_perpBisector, Affine.Simplex.touchpoint_reindex, aemeasurable_lineDeriv, ContinuousLinearMap.intervalIntegral_apply, AnalyticOnNhd.fderiv, hasDerivAt_intCast, EuclideanGeometry.inner_weightedVSub, EuclideanGeometry.angle_eq_iff_oangle_eq_neg_of_sign_eq_neg, HasFDerivAtFilter.fun_neg, SchwartzMap.smulLeftCLM_neg, EuclideanGeometry.Sphere.center_mem_orthRadius_iff, differentiableOn_inverse, ContinuousLinearEquiv.comp_differentiableAt_iff, EuclideanGeometry.collinear_of_sin_eq_zero, deriv_one, spectrum.differentiableOn_inverse_one_sub_smul, Affine.Simplex.ExcenterExists.excenter_mem_affineSpan_range, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, Filter.EventuallyEq.lineDifferentiableWithinAt_iff, iteratedFDeriv_succ_eq_comp_right, ContinuousMultilinearMap.changeOriginSeries_support, CFC.nnrpow_le_nnrpow, MeasureTheory.SimpleFunc.setToSimpleFunc_zero, ContDiffMapSupportedIn.seminorm_apply, tsupport_iteratedFDeriv_subset, Real.zero_at_infty_fourier, logDeriv_inv, ContinuousMultilinearMap.hasFDerivAt, ODE.hasDerivWithinAt_picard_Icc, signedDist_smul_of_neg, MeasureTheory.condExp_of_not_sigmaFinite, Real.iteratedFDeriv_fourier, differentiableOn_euclidean, mdifferentiableWithinAt_iff_of_mem_source', hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, aemeasurable_deriv, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, Set.instTietzeExtensionUnitClosedBall, ContDiff.continuous_iteratedFDeriv, mdifferentiableOn_iff_differentiableOn, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Affine.Triangle.orthocenter_mem_altitude, MeasureTheory.integrable_condExpL2_indicator, toSpanSingleton_derivWithin, EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq, fderiv_norm_smul, stereoInvFunAux_mem, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, HasFiniteFPowerSeriesOnBall.eq_partialSum', mdifferentiableWithinAt_iff, range_mfderiv_coe_sphere, uniqueMDiffOn_iff_uniqueDiffOn, MeasureTheory.Integrable.smul_essSup, AnalyticAt.fun_neg, HasFDerivWithinAt.curveIntegral_segment_source, differentiable_piLp, HasFPowerSeriesOnBall.pi, Affine.Triangle.eulerPoint_eq_midpoint, MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, stereographic_source, ContinuousMultilinearMap.piₗᵢ_symm_apply, ContDiff.iteratedFDeriv_right', Affine.Simplex.sign_signedInfDist_touchpoint_empty, deriv.neg', SchwartzMap.pairing_continuous_left, Matrix.ofLp_toEuclideanLin_apply, signedDist_vadd_right_swap, Real.hasFDerivAt_fourierIntegral, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, SchwartzMap.integralCLM_apply, Affine.Simplex.midpoint_faceOppositeCentroid_eulerPoint, hasDerivAt_one, ContinuousLinearEquiv.comp_right_differentiableAt_iff, intervalIntegral.integral_zero, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, IsZLattice.span_top, ContinuousLinearEquiv.differentiableOn, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, fderivWithin_derivWithin, Complex.arg_conj_coe_angle, hasDerivAt_const_mul, RCLike.sqrt_neg_I, AnalyticAt.neg, differentiableAt_comp_add_right, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', EuclideanGeometry.Sphere.IsDiameter.midpoint_eq_center, ContinuousLinearEquiv.comp_contDiffWithinAt_iff, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, HasFDerivAt.fun_neg, Asymptotics.IsBigO.eq_zero_of_norm_pow, contDiff_nat_iff_continuous_differentiable, MeasureTheory.L1.SimpleFunc.setToL1S_zero_left, hasFDerivAt_pow', MeasureTheory.Lp.simpleFunc.coe_smul, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, Submodule.topologicalClosure_eq_top_iff, MeasureTheory.Measure.addHaar_real_ball_center, HasFiniteFPowerSeriesOnBall.add, MeasureTheory.Lp.smul_def, iteratedDeriv_comp_const_sub, PadicInt.instIsAdicCompleteMaximalIdeal, Polynomial.hasDerivAt, EuclideanGeometry.Sphere.secondInter_vsub_mem_affineSpan, RCLike.conj_I, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two, hasDerivAt_natCast, IsMprojection.Mnorm, ContinuousMap.coeFn_toLp, intervalIntegral.integral_non_aestronglyMeasurable_of_le, Affine.Simplex.point_eq_affineCombination_of_pointsWithCircumcenter, MeasureTheory.Lp.simpleFunc.exists_simpleFunc_nonneg_ae_eq, AffineSubspace.perpBisector_self, Real.fourier_bilin_convolution_eq_integral, Orientation.oangle_add_cyc3_neg_left, EuclideanGeometry.oangle_eq_or_eq_neg_of_angle_eq, iter_deriv_inv, AnalyticAt.differentiableAt, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, deriv_natCast, torusIntegral_radius_zero, curveIntegral_eq_intervalIntegral_deriv, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, AccPt.uniqueDiffWithinAt, lineDerivWithin_congr_set, HasFPowerSeriesAt.sub, RightDerivMeasurableAux.differentiable_set_eq_D, MeasureTheory.Lp.instSMulCommClass, ContDiffAt.continuousLinearMap_comp, HasStrictFDerivAt.fun_neg, hasDerivWithinAt_zpow, HasFDerivWithinAt.arctan, ZSpan.quotientEquiv.symm_apply, OrthogonalFamily.range_linearIsometry, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, Real.tendsto_integral_exp_smul_cocompact, Monotone.deriv_nonneg, EuclideanGeometry.Sphere.isDiameter_iff_mem_and_mem_and_wbtw, MeasureTheory.Lp.simpleFunc.toLp_neg, EuclideanGeometry.oangle_midpoint_rev_right, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, lineDerivWithin_of_mem_nhds, affineSpan_eq_top_of_nonempty_interior, Real.Angle.eq_neg_self_iff, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, Real.fourierIntegralInv_eq_fourierIntegral_comp_neg, MeasureTheory.ae_eq_zero_of_forall_dual, measurableSet_of_differentiableWithinAt_Ioi, MeasureTheory.lpTrimToLpMeas_ae_eq, InnerProductSpace.gramSchmidt_zero, HasFPowerSeriesOnBall.hasFDerivAt, differentiableAt_neg_iff, Affine.Simplex.incenter_mem_affineSpan_range, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, Orientation.oangle_smul_smul_self_of_nonneg, ContinuousMultilinearMap.curryMid_apply, EuclideanGeometry.orthogonalProjection_orthogonalProjection, iter_deriv_inv', ClosedSubmodule.sInf_orthogonal, intervalIntegral.fderivWithin_integral_of_tendsto_ae, Affine.Simplex.eulerPoint_reindex, ContinuousMap.toLp_comp_toContinuousMap, contDiff_single, MeasureTheory.integrable_const_iff, MeasureTheory.Measure.addHaar_ball_mul_of_pos, ContMDiff.clm_postcomp, iteratedFDeriv_zero_fun, HasFDerivAt.prodMk, ContinuousLinearEquiv.comp_contDiffOn_iff, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MeasureTheory.Lp.smul_comm, Manifold.IsImmersionAt.target_subset_preimage_target, Affine.Simplex.excenterWeights_map, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, TestFunction.hasCompactSupport', gradient_fun_const', signedDist_vadd_left, MeasureTheory.hasFiniteIntegral_const_iff, MeromorphicAt.neg, AffineSpace.asymptoticNhds_le_cobounded, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, MDifferentiableWithinAt.clm_postcomp, derivWithin_sub_const_fun, EuclideanGeometry.oangle_add_oangle_rev, MeasureTheory.L1.integral_zero, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedSpace.sInter_polar_eq_closedBall, ContDiffBump.convolution_eq_right, TemperedDistribution.instFourierInvSMul, MeasureTheory.AEEqFun.Integrable.smul, hasFDerivWithinAt_fst, measurable_derivWithin_Ioi, ContMDiff.clm_prodMap, ContDiffOn.smul, FormalMultilinearSeries.analyticAt_changeOrigin, Affine.Simplex.incenter_notMem_affineSpan_pair, CStarMatrix.normedSpaceCore, intervalIntegral.integral_hasFDerivWithinAt, HasFPowerSeriesAt.tendsto_partialSum, Diffeomorph.uniqueDiffOn_preimage, deriv_pow_field, ContinuousLinearMap.orthogonal_range, MeasureTheory.charFunDual_prod', HasFiniteFPowerSeriesAt.add, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', deriv_comp_neg, fourierIntegral_half_period_translate, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, MeasureTheory.withDensityᵥ_zero, EuclideanGeometry.Sphere.secondInter_zero, HasFDerivAt.linear_multilinear_comp, AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero, Orientation.eq_zero_or_oangle_eq_iff_inner_eq_zero, HasStrictFDerivAt.isThetaTVS_sub, hasDerivWithinAt_const_add_iff, Affine.Simplex.touchpoint_eq_point_rev, Real.Angle.neg_coe_pi, EuclideanGeometry.hasFDerivAt_inversion, MeasureTheory.convolutionExistsAt_iff_integrable_swap, PiLp.hasFDerivAt_ofLp, TemperedDistribution.instFourierInvAdd, stronglyMeasurable_derivWithin_Ici, MeasureTheory.setToFun_zero, norm_iteratedFDeriv_one, posTangentConeAt_mono, LinearIsometryEquiv.comp_differentiable_iff, Affine.Simplex.signedInfDist_reindex, ZSpan.instDiscreteTopologySubtypeMemAddSubgroupToAddSubgroupIntSpanRangeCoeBasisRealOfFinite, differentiableAt_finCons', differentiableWithinAt_inverse, AnalyticAt.analyticAt_localInverse, NormedSpace.exp_neg, signedDist_apply_linear_apply, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, HasStrictFDerivAt.prodMap, TemperedDistribution.fourierInv_apply, AnalyticAt.eventually_eq_zero_or_eventually_ne_zero, VectorField.pullbackWithin_eq, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff, LeftInvariantDerivation.map_neg, Affine.Simplex.neg_one_lt_inner_vsub_altitudeFoot_div, derivWithin_fun_const, Affine.Simplex.ExcenterExists.touchpointWeights_map, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, EuclideanGeometry.collinear_of_angle_eq_pi, ProbabilityTheory.covarianceBilin_map, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, Affine.Simplex.mongePoint_map, ContinuousLinearEquiv.comp_differentiable_iff, Affine.Simplex.eulerPoint_map, SchwartzMap.instFourierSMul, HasFPowerSeriesOnBall.prod, Orientation.two_zsmul_oangle_smul_right_self, Affine.Triangle.sOppSide_affineSpan_pair_point_excenter_singleton, SchwartzMap.fourierTransformCLM_apply, HasFDerivAt.curveIntegral_segment_source', AffineSubspace.signedInfDist_singleton, HasFPowerSeriesWithinOnBall.neg, norm_deriv_eq_norm_fderiv, EuclideanGeometry.angle_midpoint_eq_pi, Orientation.oangle_sign_neg_right, PointwiseConvergenceCLM.tendsto_nhds_atTop, TemperedDistribution.fourierTransform_toTemperedDistributionCLM_eq, deriv_id, hasFPowerSeriesWithinOnBall_pi_iff, hasDerivAt_zero, SchwartzMap.fderivCLM_fourier_eq, intrinsicInterior_nonempty, ContinuousLinearEquiv.contDiffOn_comp_iff, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, TemperedDistribution.instLineDerivAdd, SchwartzMap.derivCLM_apply, ContDiffAt.fderiv, Matrix.toLin_finTwoProd_toContinuousLinearMap, intervalIntegral.integral_indicator, Real.Angle.neg_eq_self_iff, MeasureTheory.MemLp.eLpNorm_indicator_le, Affine.Simplex.affineCombination_touchpointWeights, Real.Angle.toCircle_neg, hasDerivWithinAt_inter', ContDiffBump.dist_normed_convolution_le, MDifferentiableOn.clm_precomp, mellin_differentiableAt_of_isBigO_rpow_exp, ContDiffWithinAt.neg, MeasureTheory.eLpNormEssSup_indicator_eq_eLpNormEssSup_restrict, hasDerivAt_exp_smul_const_of_mem_ball', ContDiff.iterate_deriv', Affine.Triangle.orthocenter_mem_affineSpan, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_not_collinear, differentiable_neg, RCLike.wInner_neg_left, deriv_comp_mul_left, hasDerivAt_neg, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, iteratedFDeriv_zero_eq_comp, OrthonormalBasis.adjustToOrientation_apply_eq_or_eq_neg, intervalIntegral.integral_hasDerivAt_right, hasFTaylorSeriesUpToOn_succ_iff_left, measurableSet_lineDifferentiableAt, Polynomial.hasStrictDerivAt, Affine.Simplex.faceOppositeCentroid_mem_ninePointCircle, VectorFourier.integral_bilin_fourierIntegral_eq_flip, Affine.Simplex.mongePoint_mem_affineSpan, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, CFC.monotone_sqrt, HasFPowerSeriesWithinOnBall.add, contDiff_smul, EuclideanGeometry.Sphere.IsTangent.isTangentAt, AffineMap.hasStrictDerivAt, LipschitzWith.ae_differentiableAt_of_real, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, ZLattice.isAddFundamentalDomain, EuclideanGeometry.Sphere.orthRadius_le_orthRadius_iff, ContinuousLinearMap.adjointAux_inner_right, IsClosed.diffContOnCl_iff, HasDerivWithinAt.Ioi_iff_Ioo, TemperedDistribution.instLineDerivSMulComplex, AnalyticAt.differentiableWithinAt, Orientation.oangle_rev, Real.Angle.sin_zero, deriv_intCast, continuousMultilinearCurryRightEquiv_symm_apply', Orientation.oangle_add_oangle_rev_neg_left, ContDiffMapSupportedIn.continuousSMul, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, sub_mem_posTangentConeAt_of_segment_subset, EuclideanGeometry.collinear_iff_eq_or_eq_or_angle_eq_zero_or_angle_eq_pi, Affine.Simplex.incenter_reindex, LinearMap.isStarProjection_toContinuousLinearMap_iff, MeasureTheory.UnifTight.exists_measurableSet_indicator, AffineSubspace.mem_perpBisector_iff_dist_eq, Polynomial.differentiableAt, BoxIntegral.integrable_zero, instDiscreteTopologySubtypeMemSubmoduleIntComap, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, MeasureTheory.integrable_smul_iff, HasStrictFDerivAt.fun_smul, MeasureTheory.withDensityᵥ_sub', ContDiffPointwiseHolderAt.fderiv, Meromorphic.iterated_deriv, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, norm_cfcₙ_one_sub_one_add_inv_lt_one, MeasureTheory.integrable_neg_iff, Submodule.adjoint_orthogonalProjection, Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter, MeasureTheory.Integrable.fun_smul, Orientation.two_zsmul_oangle_neg_right, MeasureTheory.lintegral_enorm_eq_lintegral_edist, EuclideanGeometry.reflection_apply', coe_addEquiv_lpPiLp, ContDiffWithinAt.smul_const, MeasureTheory.condExp_of_sigmaFinite, MeasureTheory.integral_sub_average, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', iteratedDerivWithin_succ, CurveIntegrable.smul, intervalIntegral.integral_zero_ae, TemperedDistribution.laplacian_toTemperedDistributionCLM_eq, Continuous.exists_contDiff_approx, ContinuousAffineMap.differentiableOn, ContinuousLinearMap.hasFDerivAt_of_bilinear, FormalMultilinearSeries.min_radius_le_radius_add, hasStrictDerivAt_one, MeasureTheory.HasFiniteIntegral.smul, ContinuousAffineMap.norm_comp_le, signedDist_right_lineMap, SchwartzMap.instZeroAtInftyContinuousMapClass, ContinuousLinearMap.closed_range_of_antilipschitz, VonNeumannAlgebra.coe_toStarSubalgebra, Matrix.toEuclideanLin_apply_piLp_toLp, MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter, mdifferentiableAt_iff_of_mem_source, ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, iteratedDerivWithin_succ', HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', EuclideanGeometry.Sphere.mem_tangentSet_iff, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, hasLineDerivAt_zero, ContDiff.hasStrictDerivAt, Submodule.starProjection_orthogonal_apply_eq_zero, HasFDerivWithinAt.smul, MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_pos_le, Affine.Simplex.altitude_map, Manifold.IsImmersionAtOfComplement.writtenInCharts, hasDerivAt_pow, contDiff_succ_iff_deriv, ModelWithCorners.uniqueDiffWithinAt_image, WithCStarModule.inner_single_left, MDifferentiableOn.neg, Continuous.deriv_integral, MeasureTheory.Lp.simpleFunc.toLp_smul, norm_fderiv_le_of_lipschitzOn, CPolynomialOn.fderiv, PadicInt.mahlerEquiv_apply, SchwartzMap.convolution_flip, Module.Basis.parallelepiped_map, ContDiffAt.differentiableAt_one, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, measurable_fderiv_with_param, hasMFDerivAt_iff_hasFDerivAt, MeasureTheory.eLpNorm'_const_smul_le, SchwartzMap.lineDerivOp_apply_eq_fderiv, deriv_add_const, mdifferentiableAt_iff_differentiableAt, EuclideanGeometry.Sphere.isTangentAt_center_iff, hasFDerivWithinAt_pi, Polynomial.deriv, FormalMultilinearSeries.derivSeries_eq_zero, differentiableWithinAt_apply, Real.Angle.cos_eq_iff_eq_or_eq_neg, derivWithin_const_add_fun, MeasureTheory.integral_zero', OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, ContinuousLinearMap.star_eq_adjoint, AffineMap.differentiableOn, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, differentiableAt_pow, ContDiff.differentiable, iteratedDeriv_comp_three, Polynomial.hasFDerivWithinAt_aeval, measurableSet_of_differentiableAt_of_isComplete_with_param, ContDiffAt.fun_smul, HasFPowerSeriesWithinAt.neg, EuclideanGeometry.angle_neg, MeasureTheory.UniformIntegrable.spec, derivWithin_comp_add_const, derivWithin.star, hasStrictDerivAt_inv, ExistsContDiffBumpBase.y_neg, asymptoticCone_subset_singleton_of_bounded, Asymptotics.isTheta_zero_left, ExistsContDiffBumpBase.y_support, MeasureTheory.setToFun_zero_left', Affine.Simplex.ExcenterExists.signedInfDist_excenter, derivWithin_zero, ContinuousAlternatingMap.curryLeftLI_apply, deriv_comp_const_add, re_inner_self_nonpos, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, uniqueDiffOn_convex_of_isRCLikeNormedField, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, MeasureTheory.withDensityᵥ_smul, ContDiffAt.exists_eventually_eq_hasDerivAt, fderiv_star, derivWithin_fun_const_smul', Affine.Simplex.orthogonalProjectionSpan_reindex, ContDiffMapSupportedIn.support_subset, OrthonormalBasis.coe_toBasis_repr, hasStrictFDerivAt_list_prod, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, stereo_right_inv, Orientation.eq_iff_oangle_eq_zero_of_norm_eq, MeasureTheory.hausdorffMeasure_affineSegment, hasDerivAtFilter_pi, stereographic_apply, Affine.Triangle.sbtw_touchpoint_empty, MeasureTheory.inner_condExpL2_eq_inner_fun, StrongDual.toLp_apply, MeasureTheory.Lp.coeFn_zero, MeasureTheory.mem_lpMeas_self, MeasureTheory.setIntegral_setAverage_sub, hasDerivAtFilter_const_add_iff, homeomorphSphereProd_apply_snd_coe, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, Real.iteratedFDeriv_fourierIntegral, MeasureTheory.Lp.coe_LpSubmodule, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, differentiableAt_snd, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, dist_lt_dist_add_dist_iff, TestFunction.instLocallyConvexSpaceReal, contDiff_infty_iff_deriv, differentiableWithinAt_smul_iff, Affine.Simplex.touchpoint_empty_notMem_affineSpan_of_ne, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, iteratedDeriv_one, EuclideanGeometry.Sphere.IsTangentAt_iff_angle_eq_pi_div_two, FormalMultilinearSeries.changeOrigin_eval, differentiableWithinAt_add_const_iff, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, ContDiffAt.sum, iter_deriv_inv_linear_sub, MeasureTheory.integral_indicator_const, VectorField.lieBracketWithin_swap, IsSelfAdjoint.adjoint_conj, SchwartzMap.toZeroAtInfty_toBCF, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left, HasFPowerSeriesAt.prod, Asymptotics.isTheta_zero_right, hasStrictDerivAt_natCast, CFC.sqrt_le_sqrt, DiffContOnCl.differentiableAt, NormedSpace.normalize_zero_eq_zero, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, Complex.analyticOnNhd_iff_differentiableOn, Asymptotics.isLittleO_id_const, Real.differentiable_fourierChar_neg_bilinear_right, Real.Angle.coe_two_pi, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, Affine.Simplex.sSameSide_point_excenter_singleton, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, closedBall_rpow_sub_one_eq_empty_aux, AffineSubspace.signedInfDist_def, MeasureTheory.Measure.addHaar_closedBall, ContDiffBump.neg, HasFPowerSeriesWithinAt.add, Affine.Simplex.acuteAngled_reindex_iff, MeasureTheory.L1.setToL1_zero_left', Complex.norm_deriv_le_of_forall_mem_sphere_norm_le, ContinuousLinearMap.adjoint_inner_right, CStarModule.continuous_inner, MeasureTheory.submartingale_iff_condExp_sub_nonneg, MeasureTheory.Lp.coeFn_neg, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, hasStrictDerivAt_exp_zero_of_radius_pos, ContDiffMapSupportedIn.postcompLM_apply, Affine.Simplex.mem_altitude, Affine.Simplex.isDiameter_ninePointCircle, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, signedDist_lineMap_right, ContinuousLinearMap.norm_smulRightL_le, TemperedDistribution.laplacian_apply_apply, MeasureTheory.withDensityᵥ_smul', Affine.Triangle.sSameSide_affineSpan_pair_point_excenter_singleton, Affine.Triangle.dist_div_sin_angle_div_two_eq_circumradius, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, hasDerivAtFilter_const, SchwartzMap.tsupport_derivCLM_subset, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, hasDerivAt_single, deriv_fun_const_smul_field, tendsto_integral_exp_inner_smul_cocompact, Affine.Simplex.mongePlane_reindex, MellinConvergent.const_smul, Continuous.fourierPowSMulRight, differentiableOn_apply, ZLattice.normBound_spec, intervalIntegral.integral_undef, lp.single_apply, differentiableAt_pi, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, RCLike.re_le_neg_norm_iff_eq_neg_norm, differentiable_norm_rpow, MeasureTheory.integral_zero_measure, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, AlternatingMap.measure_parallelepiped, EuclideanGeometry.Sphere.isTangentAt_iff_dist_sq_eq_power, ContinuousAffineMap.hasFDerivWithinAt, HasFiniteFPowerSeriesOnBall.fderiv', Orientation.two_zsmul_oangle_smul_left_self, ContDiffMapSupportedIn.coe_neg, ContinuousMultilinearMap.currySum_apply, isOpenMap_barycentric_coord, MeasureTheory.MemLp.aefinStronglyMeasurable, Affine.Simplex.signedInfDist_affineCombination, Orientation.angle_eq_iff_oangle_eq_neg_of_sign_eq_neg, TemperedDistribution.lineDerivOp_apply_apply, Polynomial.differentiableWithinAt_aeval, signedDist_apply, Set.EqOn.deriv, MeasureTheory.memLp_neg_iff, measurable_fderiv, continuousMultilinearCurryRightEquiv_apply', ZLattice.covolume.tendsto_card_le_div'', TemperedDistribution.lineDerivOp_fourierInv_eq, sphere_ext_iff, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, HasFTaylorSeriesUpToOn.differentiableOn, ProbabilityTheory.Kernel.integral_integral_indicator, MeromorphicAt.deriv, HasFiniteFPowerSeriesOnBall.hasFDerivAt, homeomorphUnitSphereProd_apply_snd_coe, differentiableWithinAt_const_sub_iff, EuclideanGeometry.dist_affineCombination, ordinaryHypergeometric_radius_top_of_neg_nat₁, hasStrictDerivAt_zero, ContinuousAlternatingMap.alternatizeUncurryFin_add, Module.Basis.ofZLatticeComap_repr_apply, signedDist_eq_dist_iff_vsub_mem_span, EuclideanGeometry.Sphere.mem_commonIntTangents_iff, Filter.EventuallyEq.lineDifferentiableAt_iff, AffineSubspace.direction_perpBisector, TestFunction.hasCompactSupport, curveIntegralFun_symm, FormalMultilinearSeries.coeff_iterate_fslope, AffineSubspace.angle_coe, Orientation.oangle_eq_neg_of_angle_eq_of_sign_eq_neg, FormalMultilinearSeries.leftInv_removeZero, ContMDiffWithinAt.clm_prodMap, deriv_const_smul', ContDiff.neg, hasStrictDerivAt_exp_smul_const_of_mem_ball', hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, MeasureTheory.UnifTight.neg, ContDiff.differentiable_iteratedDeriv', Affine.Simplex.ninePointCircle_map, ContinuousLinearMap.isAdjointPair_inner, derivWithin_Ioi_eq_Ici, hasFDerivAtFilter_finCons', FormalMultilinearSeries.changeOriginSeries_finite_of_finite, MeasureTheory.SimpleFunc.integrable_iff_finMeasSupp, EuclideanGeometry.orthogonalProjection_eq_self_iff, LinearIsometryEquiv.differentiableAt, LinearIsometryEquiv.differentiable, Antitone.deriv_nonpos, AffineSubspace.mem_perpBisector_iff_inner_eq, WeakFEPair.f_modif_aux1, toMeromorphicNFAt_of_not_meromorphicAt, MeasureTheory.Lp.smul_assoc, ContDiffMapSupportedIn.continuous_iff_comp, EuclideanGeometry.reflection_subtype, ContDiffOn.comp_continuousLinearMap, Polynomial.differentiable, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, lp.coeFn_neg, stereographic'_symm_apply, WithCStarModule.pi_norm_sq, MeasureTheory.eLpNorm_const_lt_top_iff, Real.Angle.coe_zero, Memℓp.neg_iff, homeomorphSphereProd_apply_fst_coe, uniqueMDiffWithinAt_iff_uniqueDiffWithinAt, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_sub, MeasureTheory.support_convolution_subset_swap, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, Module.Basis.ofZLatticeBasis_repr_apply, EuclideanGeometry.angle_right_midpoint_eq_pi_div_two_of_dist_eq, intervalIntegral.integral_hasStrictDerivAt_right, Orientation.oangle_eq_pi_iff_sameRay_neg, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, MeasureTheory.lintegral_norm_eq_lintegral_edist, SchwartzMap.fourier_convolution_apply, MeasureTheory.condExpL1_zero, iteratedFDeriv_two_apply, Asymptotics.isLittleO_top, iteratedFDerivWithin_zero_fun, ContDiffAt.smul, TemperedDistribution.smulLeftCLM_sum, intervalIntegral.integral_hasStrictDerivAt_left, fderiv_fst, iter_deriv_inv_linear, AffineMap.differentiable, ContDiffOn.continuousOn_deriv_of_isOpen, ContinuousAlternatingMap.differentiable, meromorphicTrailingCoeffAt_of_not_MeromorphicAt, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, ContinuousLinearEquiv.uniqueDiffOn_image_iff, MDifferentiable.clm_precomp, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, Real.differentiable_fourierChar_neg_bilinear_left, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, MeasureTheory.average_neg, AffineBasis.centroid_mem_interior_convexHull, Asymptotics.isEquivalent_zero_iff_isBigO_zero, fderiv_norm_smul_pos, Asymptotics.isLittleO_const_const_iff, EuclideanGeometry.concyclic_or_collinear_of_two_zsmul_oangle_eq, FormalMultilinearSeries.le_radius_pi, continuousMultilinearCurryLeftEquiv_symm_apply, MeasureTheory.integral_def, MeasureTheory.Measure.addHaar_closedBall_mul, IsUnit.integrable_smul_iff, hasDerivAt_exp_smul_const', Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, hasDerivWithinAt_id, ContinuousLinearMap.contDiff, TemperedDistribution.instContinuousFourierInv, differentiable_star_iff, AnalyticOn.differentiableOn, mellin_differentiableAt_of_isBigO_rpow, apply_eq_zero_of_analyticOrderNatAt_ne_zero, TestFunction.instContinuousSMulReal, EuclideanGeometry.oangle_self_left, Dense.eq_zero_of_inner_right, iteratedFDeriv_succ_eq_comp_left, ContinuousLinearMap.smul_compLpL, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, differentiableAt_of_deriv_ne_zero, stronglyMeasurable_deriv_with_param, ClosedSubmodule.orthogonal_closure, BoxIntegral.integrable_neg, ZSpan.vadd_mem_fundamentalDomain, Complex.arg_inv_coe_angle, mfderiv_eq_fderiv, ContDiffMapSupportedIn.structureMapCLM_zero_injective, derivWithin_add_const, TemperedDistribution.fourier_apply, Real.Angle.cos_neg, fderiv_comp_add_left, HasFDerivWithinAt.curveIntegral_segment_source', ContinuousMultilinearMap.piₗᵢ_apply, Module.Basis.opNNNorm_le, SchwartzMap.lineDerivOp_apply, ContDiffAt.continuousAt_iteratedFDeriv, ContMDiffWithinAt.clm_precomp, ZSpan.fract_apply, IsLocalMin.fderiv_eq_zero, fderiv_comp_sub, MeasureTheory.UnifIntegrable.neg, hasStrictFDerivAt_list_prod', continuousMultilinearCurryFin1_symm_apply, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, differentiableWithinAt_comp_add_left, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, FormalMultilinearSeries.radius_pi_le, MeasureTheory.HasFiniteIntegral.neg, MeasureTheory.lpMeasToLpTrim_ae_eq, MeasureTheory.eLpNorm_condExpL2_le, Affine.Simplex.touchpoint_mem_affineSpan_simplex, PadicInt.mahlerEquiv_symm_apply, aemeasurable_derivWithin_Ici, closure_diff_intrinsicInterior, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, HasStrictFDerivAt.smul_const, SchwartzMap.coe_apply, MeasureTheory.Measure.addHaar_ball, EuclideanGeometry.angle_eq_zero_iff_ne_and_wbtw, SchwartzMap.smulLeftCLM_ofReal, ContDiffAt.differentiableAt_iteratedFDeriv, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, iteratedDeriv_vcomp_two, fderiv_norm_rpow, ContinuousOn.continuousOn_iteratedFDeriv, intervalIntegral.integral_hasDerivAt_left, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, IsBoundedBilinearMap.differentiable, MeasureTheory.lpMeasToLpTrim_smul, VectorField.lieBracketWithin_eq, Affine.Simplex.circumsphere_reindex, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, derivWithin_congr_set, Real.Angle.two_zsmul_eq_zero_iff, hasDerivWithinAt_intCast, differentiableWithinAt_zpow, ContMDiff.clm_precomp, contDiffOn_infty_iff_deriv_of_isOpen, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, MeasureTheory.exists_eLpNorm_indicator_le, HasFPowerSeriesWithinAt.compContinuousLinearMap, EuclideanGeometry.orthogonalProjection_apply, EuclideanGeometry.Sphere.direction_orthRadius, Real.hasDerivAt_fourierIntegral, IntervalIntegrable.smul, mdifferentiableWithinAt_iff_of_mem_source, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, ContMDiffOn.clm_prodMap, Affine.Simplex.Equilateral.angle_eq_pi_div_three, EuclideanGeometry.dist_sq_add_dist_sq_eq_two_mul_dist_midpoint_sq_add_half_dist_sq, Affine.Simplex.circumradius_reindex, ContinuousLinearMap.hasDerivWithinAt, differentiableWithinAt_piLp, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, derivWithin_comp_const_add, AnalyticAt.fderiv, ContinuousLinearEquiv.differentiableWithinAt, fderiv_comp_smul, MeasureTheory.predictablePart_zero, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, EuclideanGeometry.orthogonalProjection_mem_orthogonal, iteratedDeriv_neg, FormalMultilinearSeries.norm_changeOriginSeriesTerm, PiLp.hasStrictFDerivAt_ofLp, TemperedDistribution.smulLeftCLM_smul, NormedRing.inverse_add_nth_order, HasGradientAt.hasDerivAt, hasDerivAt_exp_zero, HasFTaylorSeriesUpTo.zero_eq', InnerProductGeometry.angle_neg_neg, NormedSpace.double_dual_bound, Matrix.cstar_norm_def, PointwiseConvergenceCLM.withSeminorms, integral_eq_zero_of_forall_integral_inner_eq_zero, MeasureTheory.convolution_eq_swap, Module.Basis.opNorm_le, ContDiffBumpBase.symmetric, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, Real.zero_at_infty_vector_fourierIntegral, AnalyticOnNhd.preimage_zero_mem_codiscreteWithin, differentiable_finCons, ContDiff.fderiv_right, Summable.tendsto_zero_of_even_summable_symmetricIcc, hasDerivAt_const_add_iff, HasFDerivAt.prodMap, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, ContDiffOn.deriv_of_isOpen, ContinuousLinearEquiv.comp_contDiff_iff, TestFunctionClass.tsupport_map_subset, ZSpan.repr_floor_apply, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.iteratedFDeriv_comp_right, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, norm_fderiv_le_of_lip', CPolynomialAt.neg, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, DiffContOnCl.differentiableOn, MDifferentiable.neg, MeasureTheory.Measure.addHaar_closedBall_center, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, IsOpen.affineSpan_eq_top, Filter.EventuallyEq.hasLineDerivAt_iff, Dense.eq_zero_of_inner_left, ContDiff.continuousLinearMap_comp, ContinuousLinearMap.norm_holderL_le, Affine.Triangle.sSameSide_affineSpan_pair_excenter_singleton_point, contDiff_infty_iff_fderiv, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, MeasureTheory.lpMeas.ae_fin_strongly_measurable', hasStrictDerivAt_id, TorusIntegrable.neg, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, HasGradientAt.fderiv_apply, SchwartzMap.instFourierInvSMul, differentiableWithinAt_complex_iff_differentiableWithinAt_real, TemperedDistribution.derivCLM_apply_apply, deriv_neg, intervalIntegral.derivWithin_integral_left, range_derivWithin_subset_closure_span_image, ContDiffWithinAt.differentiableWithinAt', abs_signedDist_le_dist, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, intervalIntegral.deriv_integral_of_tendsto_ae_left, MeasureTheory.weightedSMul_smul_measure, LinearMap.hasDerivAtFilter, intervalIntegral.integral_hasFDerivAt, differentiableAt_inv, HasFiniteFPowerSeriesOnBall.fderiv_eq, Memℓp.neg, Real.Angle.two_nsmul_coe_pi, MeasureTheory.condExp_stronglyMeasurable_bilin_of_bound, hasStrictDerivAt_iff_hasStrictFDerivAt, MeasureTheory.hausdorffMeasure_homothety_preimage, ContinuousLinearEquiv.comp_contDiffAt_iff, ContinuousAlternatingMap.hasFDerivAt, HasFPowerSeriesAt.locally_zero_iff, Affine.Triangle.dist_div_sin_oangle_div_two_eq_circumradius, hasDerivAt_iff_tendsto_slope, intervalIntegral.fderiv_integral, ContinuousLinearMap.analyticAt_bilinear, Asymptotics.isBigO_pure, EuclideanGeometry.affineIndependent_iff_of_two_zsmul_oangle_eq, ZMod.dft_eq_fourier, HasFPowerSeriesAt.hasStrictFDerivAt, ModelWithCorners.uniqueDiffOn_preimage_source, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, iteratedFDerivWithin_comp_sub', differentiableOn_finCons, hasDerivAt_exp_of_mem_ball, hasStrictDerivAt_exp_smul_const_of_mem_ball, Orientation.oangle_neg_neg, IsBoundedLinearMap.fderiv, Orientation.oangle_smul_right_self_of_nonneg, ZSpan.fract_eq_fract, hasDerivAt_pi, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, SchwartzMap.toZeroAtInfty_apply, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, MeasureTheory.ae_eq_zero_of_forall_dual_of_isSeparable, hasDerivWithinAt_finCons, Affine.Simplex.height_reindex, ZLattice.sum_piFinset_Icc_rpow_le, FormalMultilinearSeries.rightInv_coeff, differentiableAt_dslope_of_ne, Affine.Simplex.inradius_map, tangentMap_prod_right, Metric.instTietzeExtensionBall, hasDerivAt_zpow, TemperedDistribution.fourierTransformInv_apply, MeasureTheory.AEStronglyMeasurable.convolution_integrand', Orientation.oangle_neg_orientation_eq_neg, tangentConeAt_eq_univ, uniqueDiffOn_extChartAt_target, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, MeromorphicOn.iterated_deriv, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, mfderiv_neg, derivWithin_of_isOpen, EuclideanGeometry.Sphere.secondInter_eq_lineMap, measurable_derivWithin_Ici, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, EuclideanSpace.single_eq_zero_iff, differentiableAt_iff_comp_const_add, ValueDistribution.log_counting_zero_sub_logCounting_top, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', differentiableAt_inverse, Matrix.l2_opNorm_def, fderivWithin_comp_add_right, signedDist_apply_linear, HasFiniteFPowerSeriesOnBall.sub, Matrix.toEuclideanLin_toLp, continuous_stereoInvFun, ContDiffOn.fun_smul, ContinuousLinearMap.iteratedFDeriv_comp_left, AnalyticAt.analyticOrderAt_ne_zero, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_midpoint_eq_center, ContinuousLinearMap.holderL_apply_apply, differentiableAt_comp_sub, FormalMultilinearSeries.comp_rightInv_aux2, derivWithin_sub_const, MeasureTheory.tendsto_integral_norm_approxOn_sub, MeasureTheory.hasFiniteIntegral_smul_iff, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, ZLattice.covolume.tendsto_card_div_pow'', ContDiffMapSupportedIn.compact_supp, MeasureTheory.integrable_fun_smul_iff, MeasureTheory.MemLp.eLpNorm_indicator_le', hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, VectorFourier.hasFDerivAt_fourierChar_smul, tangentMap_prod_left, ContMDiffWithinAt.cle_arrowCongr, MeasureTheory.lpNorm_eq_zero, fderiv_const_smul_of_field, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, MeasureTheory.measure_unitBall_eq_integral_div_gamma, continuousMultilinearCurryRightEquiv_apply, antilipschitzWith_lineMap, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, HasFDerivAt.neg, ContDiffMapSupportedIn.structureMapLM_zero_apply, SchwartzMap.differentiableAt, deriv.star', AffineSubspace.mem_perpBisector_pointReflection_iff_inner_eq_zero, AffineMap.deriv, NormedSpace.normalize_neg, VectorField.lieBracket_zero_left, MeasureTheory.integral_zero, SchwartzMap.integral_smul_deriv_right_eq_neg_left, HasFPowerSeriesWithinAt.hasFDerivWithinAt, instModuleFree_of_discrete_submodule, MeasureTheory.support_convolution_subset, Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, MontelSpace.finiteDimensional_of_normedSpace, EuclideanGeometry.oangle_eq_neg_angle_of_sign_eq_neg_one, Orientation.two_zsmul_oangle_smul_smul_self, ContDiff.fderiv, Submodule.starProjection_apply_eq_zero_iff, SchwartzMap.fourier_convolution, ContDiff.differentiable_one, norm_lineDeriv_le_of_lip', TestFunction.tsupport_subset', AnalyticOnNhd.iterated_deriv, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, VectorFourier.integrable_fourierPowSMulRight, Affine.Simplex.altitudeFoot_mem_affineSpan_faceOpposite, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, AnalyticOnNhd.neg, HasFPowerSeriesAt.compContinuousLinearMap, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, posTangentConeAt_univ, HasGradientWithinAt.hasFDerivWithinAt, FormalMultilinearSeries.rightInv_coeff_one, ContDiffWithinAt.differentiableWithinAt, deriv_mul_const_field', EuclideanGeometry.inversion_eq_lineMap, Polynomial.hasDerivWithinAt, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, differentiableAt_iff_comp_sub_const, uniqueDiffWithinAt_extChartAt_target, MeasureTheory.zero_convolution, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, ContinuousLinearMap.norm_holder_apply_apply_le, MeasureTheory.LocallyIntegrable.smul, differentiable_tsum, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, Affine.Simplex.signedInfDist_apply_of_ne, BoundedContinuousFunction.range_toLp, ContinuousLinearMap.hasStrictDerivAt, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, dist_sq_lineMap_of_inner_eq_zero, hasDerivWithinAt_iff_tendsto_slope, hasFDerivAtFilter_pi', measurable_fderiv_apply_const_with_param, constFormalMultilinearSeries_apply_succ, aestronglyMeasurable_deriv_with_param, signedDist_left_lineMap, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, iteratedFDeriv_tsum_apply, Affine.Simplex.direction_altitude, MeasureTheory.setIntegral_eq_zero_of_ae_eq_zero, ContinuousLinearMap.fpowerSeries_apply_one, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, MeasureTheory.indicatorConstLp_coeFn, WeakFEPair.Λ_residue_zero, MDifferentiableWithinAt.clm_prodMap, intervalIntegral.integral_add_adjacent_intervals_cancel, derivWithin_inter, constFormalMultilinearSeries_zero, Affine.Simplex.circumcenter_eq_centroid, Ring.inverse_exp, Affine.Simplex.excenter_reindex, WithCStarModule.prod_inner, measurableSet_of_differentiableWithinAt_Ici, Orientation.eq_zero_or_angle_eq_zero_or_pi_of_sign_oangle_eq_zero, ContinuousMultilinearMap.curryFinFinset_apply, deriv_zero_of_frequently_mem, EuclideanGeometry.orthogonalProjection_eq_iff_mem, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, MeasureTheory.Lp.simpleFunc.coeFn_nonneg, FormalMultilinearSeries.changeOriginSeriesTerm_bound, eq_midpoint_of_dist_eq_half, Real.Angle.coe_pi_add_coe_pi, Meromorphic.fun_neg, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp, derivWithin_const_sub, RCLike.I_mul_I_of_nonzero, hasFDerivAt_fst, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, lineDeriv_neg, derivWithin_const_mul_field, MeromorphicAt.frequently_zero_iff_eventuallyEq_zero, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, Module.Basis.addHaar_self, HasFTaylorSeriesUpToOn.restrictScalars, AnalyticAt.hasStrictFDerivAt, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, intrinsicClosure_eq_closure, hasFDerivAt_pi', ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, HasGradientAtFilter.hasDerivAtFilter, IsSymmSndFDerivWithinAt.eq, hasDerivWithinAt_inter, Affine.Triangle.sSameSide_affineSpan_pair_incenter_point, LinearIsometryEquiv.differentiableOn, Real.differentiable_fourier, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, MeasureTheory.charFunDual_eq_prod_iff', hasDerivAt_exp_smul_const_of_mem_ball, MeasureTheory.Measure.toSphere.instIsOpenPosMeasure, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, meromorphicOrderAt_ne_top_iff_eventually_ne_zero, hasStrictDerivAt_exp_zero, deriv_const_smul_field, ContinuousAffineMap.differentiableAt, differentiableOn_snd, ContDiff.fun_smul, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, Orientation.rightAngleRotation_neg_orientation, fderiv_single, InnerProductSpace.gramSchmidtNormed_orthonormal', MeasureTheory.MemLp.toLp_const_smul, mdifferentiable_iff_differentiable, Orientation.oangle_eq_neg_angle_of_sign_eq_neg_one, differentiableWithinAt_const_add_iff, Orientation.oangle_add_cyc3_neg_right, Affine.Simplex.centroid_eq_affineCombination_of_pointsWithCircumcenter, hasFDerivAt_list_prod_attach', mdifferentiableOn_iff_of_mem_maximalAtlas, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, iteratedDerivWithin_fun_neg, MeasureTheory.Integrable.toL1_neg, MeasureTheory.norm_condExpL2_le_one, ContDiffOn.neg, intervalIntegral.integral_neg, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, UniqueMDiffOn.uniqueDiffWithinAt_range_inter, Affine.Simplex.incenter_notMem_affineSpan_faceOpposite, Affine.Simplex.touchpoint_empty_mem_interior_faceOpposite, MeasureTheory.condExpL2_comp_continuousLinearMap, hasLineDerivWithinAt_congr_set, InnerProductSpace.symm_toEuclideanLin_rankOne, ZSpan.setFinite_inter, LinearIsometryEquiv.differentiableWithinAt, ContMDiffAt.cle_arrowCongr, differentiableOn_const_add_iff, hasStrictFDerivAt_pi, ContinuousLinearMap.adjoint_innerSL_apply, ZLattice.coe_comap, hasFDerivAt_iff_isLittleO_nhds_zero, fderivWithin_comp_sub, ContDiffMapSupportedIn.structureMapLM_apply, AffineSubspace.right_mem_perpBisector, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, derivWithin_const_smul', differentiableWithinAt_fst, EuclideanGeometry.reflection_apply, deriv_const_sub, derivWithin_of_mem_nhds, LinearIsometryEquiv.comp_fderiv', hasMFDerivWithinAt_iff_hasFDerivWithinAt, HasStrictDerivAt_ofNat, Real.Angle.tan_zero, deriv_div_const, HasFiniteFPowerSeriesAt.comp, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_left, RCLike.sqrt_neg_of_nonneg, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, WeakFEPair.differentiable_Λ₀, TemperedDistribution.laplacianCLM_apply, mdifferentiableOn_iff_of_subset_source', intervalIntegral.integral_deriv_of_contDiffOn_Icc, curveIntegralFun_def, MeasureTheory.Submartingale.condExp_sub_nonneg, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, hasDerivAt_finCons, HasFDerivAt.smul, Real.deriv_fourier, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, HasFiniteFPowerSeriesOnBall.eq_zero_of_bound_zero, MeasureTheory.integral_convolution, Filter.EventuallyEq.nhdsNE_deriv, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, hasStrictDerivAt_pow, derivWithin_mem_iff, EuclideanGeometry.Sphere.finrank_orthRadius, RCLike.conj_neg_I, ContinuousMultilinearMap.norm_curryMid, AnalyticOnNhd.eqOn_zero_or_eventually_ne_zero_of_preconnected, differentiableOn_inv, UpperHalfPlane.IsZeroAtImInfty.of_exp_decay, ContinuousLinearEquiv.comp_right_differentiable_iff, diffContOnCl_univ, RCLike.inv_I, Affine.Simplex.points_vsub_eulerPoint, Submodule.starProjection_tendsto_closure_iSup, MeasureTheory.Lp.simpleFunc.zero_toSimpleFunc, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, ModelWithCorners.uniqueDiffOn, norm_iteratedFDeriv_fderiv, MeasureTheory.Lp.toTemperedDistribution_smul_eq, Submodule.reflection_mem_subspace_orthogonalComplement_eq_neg, NormedSpace.dual_def, Orientation.measure_orthonormalBasis, Affine.Simplex.ExcenterExists.sSameSide_excenter_point_iff, MeasureTheory.Lp_toLp_restrict_smul, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, natCast_le_analyticOrderAt_iff_iteratedDeriv_eq_zero, differentiableWithinAtProp_self_target, MeasureTheory.Measure.toSphere_apply_univ', HasMFDerivAt.const_smul, AnalyticOnNhd.differentiableOn, FormalMultilinearSeries.hasFPowerSeriesOnBall, deriv_fun_const_smul', iteratedDeriv_const, SchwartzMap.integral_mul_lineDerivOp_right_eq_neg_left, EuclideanGeometry.angle_eq_pi_iff_sbtw, norm_deriv_le_of_lip', ContinuousLinearMap.innerSL_apply_comp, conformalAt_iff', iteratedDeriv_fun_neg, surjective_stereographic, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, ContinuousLinearMap.coeFn_holder, deriv_ofNat, ContDiffMapSupportedIn.structureMapLM_eq, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Memℓp.finite_dsupport, CStarMatrix.norm_def, ProbabilityTheory.instIsGaussianMapNeg, inner_neg_left, ContMDiff.cle_arrowCongr, IsMIntegralCurveAt.eventually_hasDerivAt, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, differentiableWithinAt_Ioi_iff_Ici, LipschitzWith.integral_lineDeriv_mul_eq, DiffContOnCl.neg, Affine.Triangle.dist_point_centroid, MeasureTheory.condExpL2_indicator_nonneg, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, Affine.Triangle.orthocenter_reindex, differentiableOn_zpow, Affine.Simplex.circumradius_map, MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_le, TemperedDistribution.smulLeftCLM_apply_apply, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp_eLpNorm, MeasureTheory.L1.integral_neg, hasFDerivAt_pi, InnerProductGeometry.angle_neg_left, Asymptotics.IsTheta.tendsto_zero_iff, differentiableOn_fst, contDiff_one_iff_deriv, hasFDerivWithinAt_snd, MeasureTheory.Measure.addHaar_closedBall', differentiableWithinAt_finCons, EuclideanGeometry.Sphere.infDist_eq_radius_iff_isTangent, derivWithin_comp_neg, Affine.Simplex.altitude_def, hasFTaylorSeriesUpToOn_pi, RCLike.div_I, ZSpan.fundamentalDomain_ae_parallelepiped, IsBoundedBilinearMap.differentiableWithinAt, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, MeasureTheory.MemLp.exists_eLpNorm_indicator_compl_lt, AnalyticAt.hasStrictDerivAt, signedDist_vadd_vadd, iter_deriv_pow, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, ContDiffMapSupportedInClass.map_zero_on_compl, Filter.EventuallyEq.hasDerivWithinAt_iff, MeasureTheory.IntegrableAtFilter.eq_zero_of_tendsto, Filter.EventuallyEq.hasLineDerivWithinAt_iff, hasFDerivWithinAt_apply, ZLattice.exists_finsetSum_norm_rpow_le_tsum, hasFDerivAt_integral_of_dominated_loc_of_lip, measurableSet_of_differentiableAt_with_param, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, EuclideanGeometry.Sphere.self_mem_orthRadius, Real.Angle.toReal_zero, ZLattice.abs_repr_le, CStarMatrix.inner_toCLM_conjTranspose_right, Affine.Simplex.insphere_reindex, HasFiniteFPowerSeriesOnBall.fderiv, contDiff_zero_fun, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, MeasureTheory.Measure.toSphere_eq_zero_iff, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, ContDiffMapSupportedIn.coe_zero, ampleSet_univ, fderiv_eq_smul_deriv, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, CStarMatrix.toCLM_apply_single_apply, hasGradientWithinAt_const, ContinuousMultilinearMap.uncurryRight_norm, MeasureTheory.Measure.addHaar_real_closedBall, tangentBundleCore_coordChange_achart, intervalIntegral.differentiableOn_integral_of_continuous, hasFDerivAt_prodMk_right, Real.Angle.coe_neg, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, curveIntegralFun_zero, deriv_comp_sub_const, Affine.Simplex.sSameSide_point_incenter, iteratedFDeriv_add_apply', AffineMap.continuous_of_finiteDimensional, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, ContDiffAt.neg, hasDerivWithinAt_sub_const_iff, QuadraticMap.hasLineDerivAt, fderiv_inv', MDifferentiableWithinAt.neg, ContinuousLinearEquiv.contDiff, ContinuousLinearMapWOT.ext_inner_iff, Continuous.fderiv_one, MeasureTheory.lpMeas.aestronglyMeasurable, FormalMultilinearSeries.comp_assoc, HasFPowerSeriesWithinAt.comp, differentiable_neg_iff, Affine.Simplex.ExcenterExists.sSameSide_point_excenter_iff, continuousMultilinearCurryFin1_apply, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, LinearMap.IsSymmetric.eigenvectorBasis_def, PiLp.hasStrictFDerivAt_toLp, hasStrictDerivAt_neg, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, Affine.Simplex.signedInfDist_incenter, HilbertBasis.finite_spans_dense, aemeasurable_derivWithin_Ioi, MeasureTheory.Measure.addHaar_image_homothety, ProbabilityTheory.Kernel.integral_indicator₂, Orientation.oangle_add_oangle_rev_neg_right, Affine.Simplex.inner_vsub_vsub_altitudeFoot_eq_height_sq bridge: BoxIntegral.hasIntegralIndicatorConst
toMetricSpace 📖	CompOp	264 math math: ContinuousLinearEquiv.antilipschitz, Real.dimH_of_mem_nhds, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, MeasureTheory.hausdorffMeasure_segment, ConvexOn.continuousOn_tfae, ConcaveOn.locallyLipschitz, IsometryEquiv.toRealLinearIsometryEquiv_symm_apply, SchwartzMap.pairing_apply_apply, ApproximatesLinearOn.lipschitz, ProperCone.innerDual_univ, ContinuousLinearMap.integral_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, MeasureTheory.UniformIntegrable.uniformIntegrable_of_tendstoInMeasure, SchwartzMap.lineDerivOp_fourier_eq, LinearMap.adjoint_eq_toCLM_adjoint, IsometryEquiv.toRealLinearIsometryEquiv_apply, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, Besicovitch.SatelliteConfig.centerAndRescale_radius, SchwartzMap.bilinLeftCLM_apply, ODE.FunSpace.range_toContinuousMap, Real.dimH_lt_top, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, lintegral_fderiv_lineMap_eq_edist, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, SchwartzMap.laplacianCLM_eq, ContDiff.lipschitzWith_of_hasCompactSupport, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, ContDiffOn.dimH_image_le, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, ConcaveOn.locallyLipschitzOn_interior, LinearMap.adjoint_toContinuousLinearMap, EuclideanGeometry.angle_vadd_const, MeasureTheory.Integrable.edist_toL1_zero, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, SchwartzMap.fourier_lineDerivOp_eq, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, SchwartzMap.smulLeftCLM_real_smul, Real.dimH_univ_eq_finrank, HasFiniteFPowerSeriesOnBall.cpolynomialOn, lipschitzWith_sup_right, dist_eq, MeasureTheory.tendsto_integral_approxOn_of_measurable, EuclideanGeometry.angle_vsub_const, MeasureTheory.tendstoInMeasure_iff_tendsto_Lp, HasFPowerSeriesWithinOnBall.differentiableOn, DomAddAct.instIsIsometricVAddSubtypeAEEqFunMemAddAddSubgroupLp, ContinuousLinearMap.antilipschitz_of_isEmbedding, hasFPowerSeriesWithinOnBall_iff_exists_hasFPowerSeriesOnBall, MeasureTheory.convolution_precompR_apply, MeasureTheory.Integrable.norm_toL1, LinearMap.exists_antilipschitzWith, ConvexOn.locallyLipschitz, HasFPowerSeriesWithinOnBall.analyticOn, MeasureTheory.SimpleFunc.nnnorm_approxOn_le, SchwartzMap.smulLeftCLM_sum, Metric.isPreconnected_closedEBall, IsLowerSet.cthickening, HasFPowerSeriesOnBall.differentiableOn, Metric.isPathConnected_closedEBall, MeasureTheory.UnifIntegrable.unifIntegrable_of_tendstoInMeasure, BoundedContinuousFunction.Lp_nnnorm_le, ProbabilityTheory.iIndepFun.indep_comap_natural_of_lt, ContDiffAt.inversion, SchwartzMap.smulLeftCLM_fun_neg, MeasureTheory.lintegral_edist_triangle, ClosedSubmodule.bot_orthogonal_eq_top, SchwartzMap.pairing_apply, MeasureTheory.Measure.hausdorffMeasure_smul₀, MeasureTheory.tendsto_integral_approxOn_of_measurable_of_range_subset, MeasureTheory.lintegral_edist_lt_top, IsPicardLindelof.lipschitzOnWith, EuclideanGeometry.angle_add_const, MeasureTheory.hasFDerivAt_convolution_right_with_param, MeasureTheory.hasFiniteIntegral_iff_edist, HasFTaylorSeriesUpToOn.exists_lipschitzOnWith_of_nnnorm_lt, HasCompactSupport.hasFDerivAt_convolution_right, HasStrictFDerivAt.exists_lipschitzOnWith, ClosedSubmodule.top_orthogonal_eq_bot, MeasureTheory.SimpleFunc.norm_approxOn_y₀_le, ContDiff.euclidean_dist, MeasureTheory.SimpleFunc.memLp_approxOn_range, ContDiffOn.inversion, hasFDerivAt_integral_of_dominated_loc_of_lip', DifferentiableOn.inversion, MeasureTheory.tendsto_setToFun_approxOn_of_measurable_of_range_subset, SchwartzMap.smulRightCLM_apply_apply, Besicovitch.instHasBesicovitchCovering, HasFPowerSeriesWithinOnBall.continuousOn, MeasureTheory.Lp.mem_boundedContinuousFunction_iff, SchwartzMap.smulLeftCLM_const, MeasureTheory.tendstoInMeasure_of_tendsto_eLpNorm, ContinuousLinearEquiv.dimH_image, DifferentiableWithinAt.inversion, Orientation.areaForm'_apply, ContinuousLinearMap.isClosed_range_iff_antilipschitz_of_injective, Convex.lipschitzOnWith_of_nnnorm_fderiv_le, HasFiniteFPowerSeriesOnBall.differentiableOn, Convex.lipschitzOnWith_of_nnnorm_hasFDerivWithin_le, SchwartzMap.fourierInv_lineDerivOp_eq, Metric.isPreconnected_eball, Convex.lipschitzOnWith_of_nnnorm_hasDerivWithin_le, LinearMap.isPositive_toContinuousLinearMap_iff, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', SchwartzMap.smulLeftCLM_smulLeftCLM_apply, ContinuousLinearMap.opNorm_extend_le, ApproximatesLinearOn.lipschitz_sub, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, Real.dimH_of_nonempty_interior, EuclideanGeometry.angle_const_add, BoundedContinuousFunction.mem_Lp, BoundedContinuousFunction.Lp_norm_le, Besicovitch.SatelliteConfig.centerAndRescale_center, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, instIsRiemannianManifoldModelWithCornersSelfReal, SchwartzMap.smulLeftCLM_add, ContinuousMultilinearMap.integral_apply, ApproximatesLinearOn.antilipschitz, Convex.exists_nhdsWithin_lipschitzOnWith_of_hasFDerivWithinAt, IsUpperSet.thickening, EuclideanGeometry.angle_sub_const, ContinuousLinearMap.antilipschitz_of_injective_of_isClosed_range, HasFiniteFPowerSeriesOnBall.continuousOn, MeasureTheory.SimpleFunc.memLp_approxOn, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, ContDiff.locallyLipschitz, HasFTaylorSeriesUpToOn.exists_lipschitzOnWith, eHolderNorm_nsmul, ConvexOn.locallyLipschitzOn_iff_continuousOn, HasFPowerSeriesOnBall.analyticOnNhd, Real.Convex.dimH_eq_finrank_vectorSpan, ClosedSubmodule.orthogonal_eq_top_iff, MeasureTheory.L1.dist_def, Module.Basis.parallelepiped_eq_map, FormalMultilinearSeries.analyticOnNhd, MeasureTheory.hausdorffMeasure_smul_right_image, ContDiffAt.exists_lipschitzOnWith_of_nnnorm_lt, isConformalMap_complex_linear_conj, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, SchwartzMap.tsupport_smulLeftCLM_subset, lipschitzWith_negPart, ContinuousMap.coe_toLp, DomMulAct.instIsIsometricSMulSubtypeAEEqFunMemAddSubgroupLp, MeasureTheory.SimpleFunc.integrable_approxOn_range, ContinuousLinearMap.intervalIntegral_apply, ConvexOn.locallyLipschitzOn_interior, SchwartzMap.smulLeftCLM_neg, lipschitzWith_of_nnnorm_fderiv_le, ContDiff.inversion, eventually_riemannianEDist_le_edist_extChartAt, ClosedSubmodule.inf_orthogonal_eq_bot, SchwartzMap.pairing_continuous_left, SchwartzMap.integralCLM_apply, ProbabilityTheory.condExp_ae_eq_integral_condDistrib', SchwartzMap.lineDerivOp_fourierInv_eq, HasFPowerSeriesOnBall.unique, MeasureTheory.tendstoInMeasure_of_tendsto_Lp, MeasureTheory.SimpleFunc.integrable_approxOn, ConvexOn.locallyLipschitzOn, Submodule.lipschitzWith_starProjection, EuclideanGeometry.hasFDerivAt_inversion, EuclideanGeometry.angle_const_vsub, Differentiable.inversion, SchwartzMap.fderivCLM_fourier_eq, SchwartzMap.derivCLM_apply, Metric.contractibleSpace_eball, ConcaveOn.locallyLipschitzOn, Metric.isConnected_closedEBall, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, IsLowerSet.thickening, ContDiffOn.exists_lipschitzOnWith, LinearMap.isStarProjection_toContinuousLinearMap_iff, eHolderNorm_add_le, dimH_orthogonalProjection_le, ProbabilityTheory.iIndepFun.condExp_natural_ae_eq_of_lt, ConcaveOn.exists_lipschitzOnWith_of_isBounded, MeasureTheory.lintegral_enorm_eq_lintegral_edist, ContinuousLinearEquiv.dimH_univ, HasFPowerSeriesWithinOnBall.unique, MeasureTheory.SimpleFunc.norm_approxOn_zero_le, hasFDerivAt_integral_of_dominated_of_fderiv_le, Module.Basis.parallelepiped_map, Besicovitch.isEmpty_satelliteConfig_multiplicity, ConvexOn.exists_lipschitzOnWith_of_isBounded, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, Real.dimH_segment, Submodule.lipschitzWith_orthogonalProjection, EuclideanGeometry.angle_neg, lipschitzWith_of_nnnorm_deriv_le, ContinuousLinearMap.tendsto_birkhoffAverage_orthogonalProjection, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, Metric.eball_contractible, Metric.isPathConnected_eball, Metric.contractibleSpace_closedEBall, ContDiff.dimH_range_le, SchwartzMap.tsupport_derivCLM_subset, HasFPowerSeriesOnBall.continuousOn, EuclideanGeometry.angle_const_sub, ContinuousLinearEquiv.dimH_preimage, ConcaveOn.continuousOn_tfae, lp.isometry_single, ContDiffWithinAt.inversion, ClosedSubmodule.orthogonal_disjoint, DifferentiableAt.inversion, SchwartzMap.smulLeftCLM_sub, SchwartzMap.smulLeftCLM_apply_apply, Real.hausdorffMeasure_of_finrank_lt, SchwartzMap.fourier_fderivCLM_eq, MeasureTheory.lintegral_norm_eq_lintegral_edist, Convex.exists_nhdsWithin_lipschitzOnWith_of_hasFDerivWithinAt_of_nnnorm_lt, MeasureTheory.tendsto_setToFun_approxOn_of_measurable, MeasureTheory.isometry_lpMeasSubgroupToLpTrim, Module.Basis.opNNNorm_le, LinearMap.antilipschitz_of_comap_nhds_le, SchwartzMap.smulLeftCLM_ofReal, InnerProductSpace.Core.topology_eq, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, Metric.isConnected_eball, Complex.edist_of_re_eq, Module.Basis.opNorm_le, isConformalMap_complex_linear, SchwartzMap.smulLeftCLM_apply, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, MeasureTheory.SimpleFunc.tendsto_approxOn_L1_enorm, Complex.edist_of_im_eq, TemperedDistribution.derivCLM_apply_apply, lipschitzWith_posPart, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', MeasureTheory.tendsto_integral_norm_approxOn_sub, MeasureTheory.L1.edist_def, LinearMap.injective_iff_antilipschitz, ContDiffOn.locallyLipschitzOn, SchwartzMap.fourier_convolution, eHolderNorm_smul, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, ApproximatesLinearOn.lipschitzOnWith, FormalMultilinearSeries.continuousOn, ContDiffAt.exists_lipschitzOnWith, ContDiffWithinAt.exists_lipschitzOnWith, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp, MeasureTheory.tendstoInMeasure_iff_tendsto_Lp_finite, Convex.lipschitzOnWith_of_nnnorm_deriv_le, MeasureTheory.Integrable.edist_toL1_toL1, WithLp.unitization_isometry_inr, MeasureTheory.L1.setToL1_lipschitz, MeasureTheory.SimpleFunc.tendsto_approxOn_Lp_eLpNorm, MeasureTheory.Lp.isometry_compMeasurePreserving, SchwartzMap.smulLeftCLM_smul, MemHolder.smul_iff, ODE.FunSpace.lipschitzWith, ConcaveOn.locallyLipschitzOn_iff_continuousOn, Convex.lipschitzOnWith_of_nnnorm_fderivWithin_le, HasCompactSupport.hasFDerivAt_convolution_left, TemperedDistribution.smulLeftCLM_apply_apply, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp_eLpNorm, IsUpperSet.cthickening, ConvexOn.lipschitzOnWith_of_abs_le, HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt, Convex.lipschitzOnWith_of_nnnorm_derivWithin_le, ContinuousLinearMap.antilipschitz_of_forall_le_inner_map, TensorProduct.edist_tmul_le, ConcaveOn.lipschitzOnWith_of_abs_le, IsCoercive.antilipschitz
toNorm 📖	CompOp	783 math math: Matrix.l2_opNorm_toEuclideanCLM, HasStrictFDerivAt.isBigO_sub, InnerProductGeometry.cos_angle_add_of_inner_eq_zero, ZLattice.summable_norm_zpow, Asymptotics.isBigO_const_const_iff, MeasureTheory.Integrable.integral_norm_prod_right, MeasureTheory.eLpNorm'_norm, lp.norm_apply_le_norm, real_inner_div_norm_mul_norm_eq_neg_one_iff, HasDerivAt.le_of_lipschitz, lt_norm_sub_of_not_sameRay, HasCompactSupport.convolution_integrand_bound_left, lp.isLUB_norm, Asymptotics.isBigO_zero_right_iff, MeasureTheory.norm_indicatorConstLp_le, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, ValueDistribution.proximity_zero, ZLattice.summable_norm_sub_inv_pow, ContinuousLinearMap.exists_preimage_norm_le, Convex.norm_image_sub_le_of_norm_fderivWithin_le', norm_eq_iInf_iff_real_inner_le_zero, Asymptotics.isBigO_nat_atTop_induction, SchwartzMap.norm_le_seminorm, Asymptotics.isLittleO_const_left, InnerProductGeometry.norm_eq_of_angle_sub_eq_angle_sub_rev_of_angle_ne_pi, Complex.exists_mem_frontier_isMaxOn_norm, RightDerivMeasurableAux.norm_sub_le_of_mem_A, norm_add_eq_iff_real, MeasureTheory.norm_condExpL2_le, contDiffAt_norm_smul_iff, IsLprojection.Lnorm, ContinuousMultilinearMap.norm_map_snoc_le, Orientation.eq_iff_norm_eq_and_oangle_eq_zero, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleO_const_iff, Submodule.re_inner_starProjection_eq_normSq, Orientation.sin_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, InnerProductGeometry.angle_sub_eq_arccos_of_inner_eq_zero, Asymptotics.isTheta_const_const_iff, measurable_norm, norm_smul_inv_norm', Filter.IsBoundedUnder.isBigO_const, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, Orientation.areaForm_le, DifferentiableWithinAt.norm, MeasureTheory.integral_mul_norm_le_Lp_mul_Lq, MeasureTheory.norm_setToFun_le_mul_norm', InnerProductGeometry.sin_angle, MeasureTheory.Integrable.norm_integral_condExpKernel, MeasureTheory.norm_indicatorConstLp, GaussianFourier.integral_cexp_neg_mul_sq_norm, inner_eq_norm_mul_iff, MeasureTheory.Integrable.measure_norm_ge_lt_top, norm_abs_sub_abs, ContDiffPointwiseHolderAt.isBigO, PadicInt.norm_mahlerTerm, SchwartzMap.decay', not_differentiableAt_norm_zero, CocompactMapClass.norm_le, OrderedFinpartition.norm_applyOrderedFinpartition_le, Submodule.starProjection_singleton, HasSolidNorm.solid, InnerProductGeometry.norm_div_cos_angle_sub_of_inner_eq_zero, fourierIntegral_gaussian_innerProductSpace', hasDerivWithinAt_iff_isLittleO, Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, Differentiable.fderiv_norm_rpow, FDerivMeasurableAux.le_of_mem_A, Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two, InnerProductSpace.gramSchmidtNormed_unit_length_coe, GaussianFourier.integral_cexp_neg_mul_sq_norm_add, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, MeasureTheory.MemLp.integrable_norm_rpow', ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, WithCStarModule.prod_norm_sq, CStarModule.innerSL_apply, MeasureTheory.hasFiniteIntegral_prod_iff', MeasureTheory.MemLp.norm_rpow, lp.sum_rpow_le_norm_rpow, MeasureTheory.norm_indicatorConstLp_top, inner_lt_norm_mul_iff_real, Asymptotics.isLittleO_const_id_atTop, hasLineDerivAt_iff_isLittleO_nhds_zero, lp.norm_sum_single, Asymptotics.isBigOWith_zero_right_iff, difference_quotients_converge_uniformly, Submodule.norm_starProjection_apply_le, InnerProductGeometry.tan_angle_sub_mul_norm_of_inner_eq_zero, HasFDerivAt.norm_sq, AEMeasurable.norm, PointwiseConvergenceCLM.tendsto_nhds, Real.integrable_prod_sub, OrthogonalFamily.norm_sq_diff_sum, norm_smul_inv_norm, Orientation.norm_div_cos_oangle_add_left_of_oangle_eq_pi_div_two, WeakFEPair.hf_zero', OrthonormalBasis.sum_sq_inner_right, Orientation.oangle_add_right_eq_arcsin_of_oangle_eq_pi_div_two, Submodule.reflection_singleton_apply, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, enorm_fderiv_norm_rpow_le, lp.sum_rpow_le_of_tendsto, hasDerivAt_iff_isLittleO, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, Orientation.oangle_sub_right_eq_arccos_of_oangle_eq_pi_div_two, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, MeasureTheory.L1.SimpleFunc.norm_setToL1S_le, InnerProductGeometry.sin_angle_div_norm_eq_sin_angle_div_norm, MeromorphicOn.extract_zeros_poles_log, norm_iteratedFDerivWithin_zero, fourier_gaussian_innerProductSpace, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, Asymptotics.isLittleO_irrefl, MeasureTheory.memLp_two_iff_integrable_sq_norm, sameRay_iff_inv_norm_smul_eq_of_ne, abs_lt_norm_sub_of_not_sameRay, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge', MeasureTheory.integrable_norm_rpow_iff, MeasureTheory.MemLp.exists_boundedContinuous_integral_rpow_sub_le, Asymptotics.IsEquivalent.isBigO_symm, MeasureTheory.integral_norm_eq_lintegral_enorm, MeasureTheory.norm_setIntegral_le_of_norm_le_const_ae', MeasureTheory.eLpNorm_norm, norm_sub_le_mul_volume_of_norm_lineDeriv_le, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le, stereoInvFunAux_apply, lp.norm_rpow_eq_tsum, norm_curveIntegral_segment_le, Complex.norm_dslope_le_div_of_mapsTo_ball, ContinuousAffineMap.norm_def, integrable_one_add_norm, entrywise_sup_norm_bound_of_unitary, norm_iteratedFDerivWithin_clm_apply_const, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, ContinuousLinearMap.exists_lt_apply_of_lt_opNorm, InnerProductGeometry.tan_angle_add_mul_norm_of_inner_eq_zero, Asymptotics.isLittleO_const_iff_isLittleO_one, ZLattice.tsum_norm_rpow_le, SchwartzMap.integral_norm_sq_fourier, norm_lineDeriv_le_of_lipschitz, dist_eq, InnerProductGeometry.sin_angle_mul_norm_eq_sin_angle_mul_norm, MeasureTheory.Integrable.integral_norm_condDistrib_map, InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero, FormalMultilinearSeries.norm_apply_eq_norm_coef, SameRay.inv_norm_smul_eq, hasGradientAtFilter_iff_isLittleO, norm_injOn_ray_right, hasGradientAt_iff_isLittleO, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, ae_differentiableAt_norm, Submodule.norm_eq_iInf_iff_inner_eq_zero, lp.summable_mul, exists_norm_le_le_norm_sub_of_finset, norm_inner_eq_norm_iff, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, inner_eq_norm_mul_iff_div, Function.hasTemperateGrowth_iff_isBigO, HasDerivAtFilter.isBigO_sub_rev, HasDerivWithinAt.norm_sq, Orientation.tan_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, memℓp_gen_iff, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, MeasureTheory.MemLp.integrable_norm_pow, MeasureTheory.SimpleFunc.exists_forall_norm_le, MeasureTheory.Integrable.norm_integral_condDistrib, has_fderiv_at_filter_real_equiv, InnerProductGeometry.norm_add_eq_add_norm_of_angle_eq_zero, Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, MeasureTheory.Integrable.integral_norm_comp, Asymptotics.isLittleO_const_id_cobounded, ZLattice.tsumNormRPowBound_spec, MeasureTheory.lpNorm_one_eq_integral_norm, WithCStarModule.prod_norm_le_norm_add, ContinuousLinearMap.exists_approx_preimage_norm_le, ContinuousMultilinearMap.uncurry0_norm, norm_cauchyPowerSeries_le, hasFDerivAt_norm_rpow, Asymptotics.IsEquivalent.isTheta_symm, HasFPowerSeriesOnBall.uniform_geometric_approx, norm_sub_le_mul_volume_of_norm_deriv_le_of_le, fourier_gaussian_innerProductSpace', InnerProductGeometry.cos_angle, OrthonormalBasis.norm_eq_one, circleIntegrable_posLog_norm_meromorphicOn, Orientation.cos_oangle_sub_right_of_oangle_eq_pi_div_two, InnerProductGeometry.angle_add_eq_arctan_of_inner_eq_zero, Real.tendsto_integral_gaussian_smul', exists_seq_norm_le_one_le_norm_sub, Convex.norm_image_sub_le_of_norm_fderivWithin_le, hasGradientAt_iff_isLittleO_nhds_zero, ContDiff.norm_rpow, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, ContinuousAlternatingMap.norm_curryLeft, InnerProductGeometry.cos_angle_mul_norm_mul_norm, integrable_rpow_neg_one_add_norm_sq, Submodule.norm_sq_eq_add_norm_sq_starProjection, MeasureTheory.norm_integral_le_integral_norm, WithCStarModule.norm_apply_le_norm, real_inner_div_norm_mul_norm_eq_one_iff, Asymptotics.isBigO_nat_atTop_iff, StrongFEPair.hf_zero', TensorProduct.norm_comm, Affine.Simplex.signedInfDist_apply_self, InnerProductGeometry.sin_angle_sub_of_inner_eq_zero, ContinuousLinearMap.norm_map_of_mem_unitary, memℓp_infty_iff, Int.norm_natCast, OrthonormalBasis.sum_sq_norm_inner_right, Orientation.cos_oangle_add_left_of_oangle_eq_pi_div_two, MeasureTheory.Integrable.integral_norm_prod_left, Submodule.norm_orthogonalProjection_apply_le, TensorProduct.norm_assoc, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, NormMulClass.toNormOneClass, Matrix.l2_opNorm_diagonal, MeasureTheory.Integrable.integral_norm_condExpKernel, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, MeasureTheory.SimpleFunc.norm_approxOn_y₀_le, Submodule.norm_eq_iInf_iff_real_inner_eq_zero, FormalMultilinearSeries.compAlongComposition_bound, MeasureTheory.norm_setToFun_le', MeasureTheory.Lp.norm_const_le, Quaternion.norm_coe, Convex.taylor_approx_two_segment, le_rpow_one_add_norm_iff_norm_le, VitaliFamily.ae_tendsto_average_norm_sub, Orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two, norm_deriv_le_of_lipschitzOn, Orientation.tan_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', ContDiffWithinAt.norm_sq, Function.hasTemperateGrowth_norm_sq, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_mul_norm, ContinuousMultilinearMap.norm_map_init_le, MeasureTheory.Integrable.norm_integral_condKernel, Orientation.norm_div_sin_oangle_sub_right_of_oangle_eq_pi_div_two, fderiv_norm_smul_neg, norm_le_norm_of_abs_le_abs, InnerProductGeometry.norm_div_tan_angle_sub_of_inner_eq_zero, MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le, InnerProductGeometry.inner_eq_neg_mul_norm_of_angle_eq_pi, Orientation.oangle_sub_left_eq_arcsin_of_oangle_eq_pi_div_two, AddGroupNormClass.toNormedAddCommGroup_norm_eq, dense_differentiableAt_norm, Orientation.inner_eq_norm_mul_norm_mul_cos_oangle, IsCoercive.bounded_below, ContDiff.norm_sq, Asymptotics.isLittleO_sum_range_of_tendsto_zero, contDiffPointwiseHolderAt_iff, OrthonormalBasis.sum_sq_inner_left, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, MeasureTheory.Lp.norm_const', HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, MeasureTheory.norm_condExpIndL1_le, ProbabilityTheory.hasFiniteIntegral_compProd_iff', Submodule.norm_sq_eq_add_norm_sq_projection, Int.norm_eq_abs, Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two, InnerProductGeometry.inner_eq_neg_mul_norm_iff_angle_eq_pi, MeasureTheory.norm_integral_le_lintegral_norm, Asymptotics.isLittleO_id_one, Convex.norm_image_sub_le_of_norm_fderiv_le, MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul, Matrix.l2_opNorm_conjTranspose, MeasureTheory.norm_condExpInd_apply_le, ZLattice.summable_norm_rpow, Convex.isLittleO_alternate_sum_square, rescale_to_shell, hasFDerivAt_iff_tendsto, DifferentiableAt.norm_sq, FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, MeasureTheory.tendsto_measure_norm_gt_of_isTightMeasureSet, Asymptotics.isBigO_const_iff, Quaternion.normSq_eq_norm_mul_self, Orientation.sin_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, Orientation.oangle_add_left_eq_arcsin_of_oangle_eq_pi_div_two, Orientation.cos_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, norm_zsmul_le, InnerProductSpaceable.inner_.norm_sq, MeasureTheory.MemLp.integrable_norm_rpow, Submodule.smul_starProjection_singleton, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, MeasureTheory.IntegrableAtFilter.norm, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_two, HasFDerivAtFilter.isTheta_sub, contDiffAt_norm, BoundedContinuousFunction.norm_integral_le_norm, sameRay_iff_norm_add, Asymptotics.isBigO_const_const, MeasureTheory.integrable_prod_iff, HasFDerivWithinAt.norm_sq, norm_fderiv_norm_rpow_le, exists_taylor_mean_remainder_bound, LinearMap.bound_of_ball_bound', Orientation.sin_oangle_sub_left_of_oangle_eq_pi_div_two, strongConcaveOn_iff_convex, Asymptotics.isLittleO_const_id_atBot, hasDerivAtFilter_iff_isLittleO, intervalIntegral.norm_intervalIntegral_eq, Orientation.oangle_sub_left_eq_arccos_of_oangle_eq_pi_div_two, WithCStarModule.pi_norm, DifferentiableOn.norm_sq, Differentiable.norm_rpow, InnerProductGeometry.norm_div_sin_angle_add_of_inner_eq_zero, norm_inner_eq_norm_tfae, MeasureTheory.integrable_conv_iff, InnerProductGeometry.cos_angle_sub_of_inner_eq_zero, Asymptotics.isLittleO_principal, unitary.norm_argSelfAdjoint, contDiff_norm_sq, InnerProductGeometry.norm_div_tan_angle_add_of_inner_eq_zero, MeasureTheory.lpNorm_nnreal_eq_integral_norm_rpow, ContinuousLinearMap.NonlinearRightInverse.bound, MeasureTheory.Measure.integrable_compProd_iff, InnerProductGeometry.tan_angle_sub_of_inner_eq_zero, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae, InnerProductSpace.gramSchmidtOrthonormalBasis_apply_of_orthogonal, HasDerivAt.norm_sq, ZSpan.norm_fract_le, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_norm, Asymptotics.IsEquivalent.isBigO, norm_sup_le_add, MeasureTheory.integrable_norm_iff, circleIntegrable_log_norm_meromorphicOn, hasStrictFDerivAt_norm_sq, MeasureTheory.MemLp.exists_hasCompactSupport_integral_rpow_sub_le, finite_integral_one_add_norm, HasFDerivWithinAt.isBigO_sub, WeakFEPair.hg_top, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, RCLike.norm_nsmul, HasDerivAtFilter.isBigO_sub, PUnit.norm_eq_zero, InnerProductGeometry.sin_angle_sub_mul_norm_of_inner_eq_zero, InnerProductGeometry.norm_sub_eq_add_norm_iff_angle_eq_pi, differentiableAt_norm_smul, ContinuousLinearMap.norm_map_tail_le, MeasureTheory.HasFiniteIntegral.norm, Differentiable.norm_sq, InnerProductGeometry.tan_angle_add_of_inner_eq_zero, DifferentiableAt.isBigO_sub, MeasureTheory.all_ae_tendsto_ofReal_norm, HasGradientAtFilter.isBigO_sub, lp.norm_compl_sum_single, MeasureTheory.ae_le_lpNorm_exponent_top, Rat.norm_cast_real, MeasureTheory.lpNorm_norm, MeasureTheory.Integrable.integral_norm_compProd, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, inner_product_apply_eigenvector, WeakFEPair.hf_zero, Orientation.tan_oangle_sub_left_of_oangle_eq_pi_div_two, OrthonormalBasis.sum_sq_norm_inner_left, MeasureTheory.integral_fun_norm_addHaar, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae', norm_deriv_le_of_lipschitz, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, MeasureTheory.Lp.norm_const, WithCStarModule.pi_inner, MeasureTheory.SimpleFunc.norm_integral_le_integral_norm, WithCStarModule.norm_single, ContDiffAt.norm_sq, WithCStarModule.prod_norm, norm_derivWithin_eq_norm_fderivWithin, Pi.norm_single, hasGradientAt_iff_tendsto, ZLattice.summable_norm_pow_inv, ProbabilityTheory.hasFiniteIntegral_comp_iff', MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, WithLp.unitization_norm_def, Orientation.cos_oangle_add_right_of_oangle_eq_pi_div_two, MeasureTheory.Integrable.measure_norm_gt_lt_top, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, Orientation.oangle_sub_right_eq_arcsin_of_oangle_eq_pi_div_two, Submodule.norm_orthogonalProjection_apply, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, InnerProductSpaceable.parallelogram_identity, exists_norm_nsmul_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.Integrable.norm_integral_condDistrib_map, homeomorphUnitSphereProd_apply_fst_coe, Orientation.kahler_apply_self, ProbabilityTheory.hasFiniteIntegral_comp_iff, Orientation.inner_mul_areaForm_sub', fourierIntegral_gaussian_innerProductSpace, MeasureTheory.dist_convolution_le', Asymptotics.isLittleO_const_left_of_ne, IntervalIntegrable.norm, Asymptotics.isBigO_const_of_tendsto, SchwartzMap.le_seminorm, WithCStarModule.inner_single_right, HasFPowerSeriesOnBall.uniform_geometric_approx', InnerProductGeometry.norm_div_sin_angle_sub_of_inner_eq_zero, not_sameRay_iff_abs_lt_norm_sub, Orientation.abs_areaForm_le, ZLattice.exists_forall_abs_repr_le_norm, InnerProductGeometry.cos_angle_add_mul_norm_of_inner_eq_zero, MeasureTheory.Integrable.integral_norm_condDistrib, norm_lineDeriv_le_of_lipschitzOn, Orientation.normSq_kahler, ProbabilityTheory.integrable_compProd_iff, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, sameRay_iff_inv_norm_smul_eq, ProbabilityTheory.IdentDistrib.norm, MeasureTheory.MemLp.norm_rpow_div, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, coord_norm', InnerProductGeometry.norm_sub_eq_add_norm_of_angle_eq_pi, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, IsPicardLindelof.norm_le, Orientation.norm_div_sin_oangle_sub_left_of_oangle_eq_pi_div_two, Int.norm_cast_rat, ContDiffMapSupportedIn.norm_apply_le_seminorm, InnerProductSpace.gramSchmidtNormed_unit_length, Asymptotics.isBigO_one_nat_atTop_iff, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, MeasureTheory.MemLp.norm, MeasureTheory.L1.norm_integral_le, hasDerivAtFilter_iff_tendsto, Unitary.norm_map, not_sameRay_iff_norm_add_lt, ContinuousMultilinearMap.norm_iteratedFDeriv_le, intervalIntegrable_posLog_norm_meromorphicOn, taylor_isLittleO, ContDiffOn.norm_sq, Orientation.tan_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, Asymptotics.isBigO_cofinite_iff, MeasureTheory.memLp_norm_rpow_iff, ContinuousAffineMap.norm_image_zero_le, exists_dual_vector', Asymptotics.isLittleO_zero_right_iff, hasDerivAt_iff_isLittleO_nhds_zero, norm_abs_eq_norm, Orientation.abs_areaForm_of_orthogonal, Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, lp.hasSum_norm, MeasureTheory.eLpNorm_norm_rpow, unitary.norm_map, Asymptotics.isLittleO_pure, InnerProductSpace.gramSchmidt_def'', Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_two, WithCStarModule.norm_equiv_le_norm_prod, Real.tendsto_integral_cexp_sq_smul, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, HasFDerivAt.isBigO_sub, Orientation.inner_sq_add_areaForm_sq, lp.tsum_mul_le_mul_norm', intervalIntegral.norm_integral_le_of_norm_le_const_ae, nnnorm_fderiv_norm_rpow_le, Orientation.norm_eq_of_two_zsmul_oangle_sub_eq, InnerProductGeometry.angle_add_eq_arccos_of_inner_eq_zero, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, WithCStarModule.pi_norm_le_sum_norm, MeasureTheory.integrable_prod_iff', ZLattice.summable_norm_sub_rpow, lp.norm_single, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, MeasureTheory.lpMeasSubgroupToLpTrim_norm_map, Orientation.tan_oangle_sub_right_of_oangle_eq_pi_div_two, Asymptotics.isBigO_const_left_iff_pos_le_norm, ContDiffAt.norm, Matrix.linfty_opNorm_toMatrix, IsMprojection.Mnorm, MeasureTheory.L1.norm_setToL1_le_mul_norm', Matrix.frobenius_norm_mul, Orientation.cos_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, InnerProductSpace.gramSchmidtNormed_unit_length', Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two, mellin_convergent_iff_norm, Orientation.kahler_mul, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, sameRay_iff_norm_sub, TensorProduct.dist_tmul_le, ContinuousOn.integral_sub_linear_isLittleO_ae, ContinuousMultilinearMap.curry0_norm, TensorProduct.norm_lid, ValueDistribution.proximity_const, norm_inf_sub_inf_le_norm, MeasureTheory.LocallyIntegrableOn.norm, rescale_to_shell_zpow, lp.norm_sub_norm_compl_sub_single, Complex.norm_deriv_le_one_of_mapsTo_ball, InnerProductGeometry.norm_sub_eq_abs_sub_norm_iff_angle_eq_zero, IntervalIntegrable.intervalIntegrable_norm_iff, HasLineDerivAt.le_of_lipschitzOn, OrthonormalBasis.norm_le_card_mul_iSup_norm_inner, Asymptotics.isBigO_iff_isBoundedUnder_le_div, dist_div_norm_sq_smul, riesz_lemma_of_norm_lt, MeasureTheory.L1.norm_of_fun_eq_integral_norm, norm_deriv_eq_norm_fderiv, PointwiseConvergenceCLM.tendsto_nhds_atTop, Complex.norm_deriv_le_div_of_mapsTo_ball, SchwartzMap.isBigO_cocompact_zpow_neg_nat, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, lp.norm_apply_le_of_tendsto, Fourier.norm_fourierIntegral_le_integral_norm, MeasureTheory.Integrable.norm_toL1_eq_lintegral_norm, Asymptotics.isTheta_const_const, WithCStarModule.norm_equiv_le_norm_pi, Orientation.norm_div_tan_oangle_sub_left_of_oangle_eq_pi_div_two, MeasureTheory.Measure.integrable_comp_iff, InnerProductGeometry.inner_eq_mul_norm_of_angle_eq_zero, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, ContinuousAlternatingMap.norm_ofSubsingleton_id, MeasureTheory.hasFiniteIntegral_prod_iff, rpow_neg_one_add_norm_sq_le, norm_tangentSpace_vectorSpace, DifferentiableWithinAt.norm_sq, MeasureTheory.norm_setToFun_le_mul_norm, ZLattice.le_norm_of_le_abs_repr, ContinuousAffineMap.norm_comp_le, MeasureTheory.L1.SimpleFunc.norm_eq_integral, RCLike.norm_coe_norm, MeasureTheory.SimpleFunc.norm_approxOn_zero_le, Matrix.linfty_opNorm_eq_opNorm, inner_eq_norm_mul_iff_real, MeasureTheory.L1.SimpleFunc.norm_integral_le_norm, SchwartzMap.decay, WithCStarModule.inner_single_left, MeasureTheory.L1.norm_setToL1_le_mul_norm, Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two, InnerProductGeometry.sin_angle_add_of_inner_eq_zero, Filter.Tendsto.integral_sub_linear_isLittleO_ae, LinearMap.bound_of_sphere_bound, InnerProductGeometry.angle_sub_eq_arcsin_of_inner_eq_zero, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, ZLattice.summable_norm_sub_zpow, Summable.norm, summable_norm_iff, Asymptotics.isTheta_zero_left, intervalIntegral.norm_integral_le_integral_norm, Orientation.volumeForm_apply_le, exists_norm_eq_iInf_of_complete_convex, DifferentiableWithinAt.isBigO_sub, BoundedContinuousFunction.norm_integral_le_mul_norm, dual_solid, hasFDerivAtFilter_iff_tendsto, riesz_lemma_of_lt_one, InnerProductGeometry.norm_sub_eq_abs_sub_norm_of_angle_eq_zero, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, Asymptotics.isBigOWith_const_const, ContDiff.norm, InnerProductSpace.isIdempotentElem_rankOne_self_iff, Submodule.norm_starProjection_apply, OrthogonalFamily.norm_sum, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, homeomorphSphereProd_apply_snd_coe, Complex.isOpen_setOf_mem_nhds_and_isMaxOn_norm, norm_sub_le_mul_volume_of_norm_fderiv_le, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, HasStrictFDerivAt.isTheta_sub, Asymptotics.isTheta_zero_right, Submodule.starProjection_minimal, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, Asymptotics.isLittleO_id_const, ProbabilityTheory.hasFiniteIntegral_compProd_iff, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le', norm_sup_sub_sup_le_add_norm, Real.tendsto_integral_gaussian_smul, CStarModule.continuous_inner, Besicovitch.SatelliteConfig.exists_normalized_aux1, TensorProduct.norm_tmul, StrongFEPair.hf_top', Orientation.oangle_sub_left_eq_arctan_of_oangle_eq_pi_div_two, Asymptotics.IsEquivalent.isTheta, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, ZLattice.normBound_spec, Orientation.sin_oangle_sub_right_of_oangle_eq_pi_div_two, SchwartzMap.le_seminorm', Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two, differentiable_norm_rpow, VectorFourier.norm_fourierSMulRight_le, intervalIntegral.norm_integral_eq_norm_integral_uIoc, Memℓp.summable, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, Affine.Simplex.signedInfDist_affineCombination, intervalIntegral.norm_integral_le_abs_integral_norm, Unitary.norm_argSelfAdjoint, MeasureTheory.ae_tendsto_ofReal_norm, homeomorphUnitSphereProd_apply_snd_coe, Submodule.orthogonalProjectionFn_norm_sq, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_mul_norm_of_integrable, VectorFourier.norm_fourierPowSMulRight_le, TensorProduct.norm_map, riesz_lemma, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, InnerProductGeometry.angle_sub_eq_arctan_of_inner_eq_zero, lp.norm_eq_tsum_rpow, ContinuousMultilinearMap.norm_map_insertNth_le, intervalIntegrable_log_norm_meromorphicOn, VectorFourier.norm_fourierSMulRight, ContinuousLinearEquiv.coord_norm', norm_sub_le_integral_of_norm_deriv_le_of_le, WithCStarModule.pi_norm_sq, NormedSpace.norm_smul_normalize, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, homeomorphSphereProd_apply_fst_coe, Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_two, strongConvexOn_iff_convex, WithCStarModule.max_le_prod_norm, MeasureTheory.lintegral_norm_eq_lintegral_edist, Asymptotics.isLittleO_top, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq', DifferentiableAt.norm, MeasureTheory.isTightMeasureSet_iff_tendsto_measure_norm_gt, Asymptotics.isEquivalent_zero_iff_isBigO_zero, MeasureTheory.lpNorm_eq_integral_norm_rpow_toReal, fderiv_norm_smul_pos, Asymptotics.isLittleO_const_const_iff, MeasureTheory.norm_indicatorConstLp', Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, HasFDerivAtFilter.isBigO_sub, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_sub_two_mul_norm_mul_norm_mul_cos_angle, Convex.norm_image_sub_le_of_norm_fderiv_le', Orientation.eq_iff_norm_eq_of_oangle_eq_zero, hasGradientWithinAt_iff_tendsto, lp.norm_eq_ciSup, contDiff_norm_rpow, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq', hasDerivAt_iff_tendsto, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_integral_norm, abs_real_inner_div_norm_mul_norm_eq_one_iff, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, InnerProductGeometry.cos_angle_sub_mul_norm_of_inner_eq_zero, unitary.norm_argSelfAdjoint_le_pi, ContinuousAt.integral_sub_linear_isLittleO_ae, SchwartzMap.integrable_pow_mul, Quaternion.instNormOneClassReal, Orientation.cos_oangle_sub_left_of_oangle_eq_pi_div_two, ContinuousMultilinearMap.norm_map_cons_le, EisensteinSeries.isLittleO_const_left_of_properSpace_of_discreteTopology, AffineSubspace.signedInfDist_apply_self, MeasureTheory.hasFiniteIntegral_iff_norm, norm_inf_le_add, Unitary.norm_argSelfAdjoint_le_pi, SchwartzMap.isBigO_cocompact_zpow, norm_inf_sub_inf_le_add_norm, hasGradientWithinAt_iff_isLittleO, MeasureTheory.Integrable.norm, norm_injOn_ray_left, MeasureTheory.lpNorm_const, equiv_lpPiLp_norm, circleIntegrable_posLog_norm_meromorphicOn_of_nonneg, norm_zpow_le_mul_norm, NormedSpace.norm_normalize, norm_iteratedFDeriv_zero, Orientation.norm_kahler, norm_iteratedFDeriv_eq_norm_iteratedDeriv, MeasureTheory.integrable_count_iff, MeasureTheory.memLp_norm_iff, ValueDistribution.proximity_coe, Besicovitch.SatelliteConfig.exists_normalized, Asymptotics.isBigO_pure, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, Orientation.norm_div_cos_oangle_sub_right_of_oangle_eq_pi_div_two, le_gauge_of_subset_closedBall, MeasureTheory.integrable_fun_norm_addHaar, Asymptotics.IsEquivalent.isLittleO, Orientation.oangle_add_left_eq_arccos_of_oangle_eq_pi_div_two, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, ZLattice.sum_piFinset_Icc_rpow_le, DifferentiableOn.norm, FormalMultilinearSeries.summable_norm_apply, ContDiffOn.norm, hasFDerivWithinAt_iff_tendsto, MeasureTheory.MemLp.integrable_norm_pow', Matrix.l2_opNorm_def, MeasureTheory.tendsto_integral_norm_approxOn_sub, sqrt_one_add_norm_sq_le, MeasureTheory.integrable_mconv_iff, VectorFourier.norm_fourierIntegral_le_integral_norm, Matrix.l2_opNorm_mul, InnerProductGeometry.sin_angle_add, InnerProductGeometry.angle_add_eq_arcsin_of_inner_eq_zero, MeasureTheory.eLpNorm'_norm_rpow, MeasureTheory.measure_unitBall_eq_integral_div_gamma, InnerProductGeometry.sin_angle_add_mul_norm_of_inner_eq_zero, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Function.hasTemperateGrowth_one_add_norm_sq_rpow, intervalIntegral.norm_integral_min_max, ContDiffWithinAt.norm, ValueDistribution.abs_characteristic_sub_characteristic_shift_le, MeasureTheory.Integrable.integral_norm_condKernel, HasLineDerivAt.le_of_lipschitz, Orientation.norm_div_tan_oangle_sub_right_of_oangle_eq_pi_div_two, MeasureTheory.lpNorm_exponent_top_eq_essSup, norm_fderiv_norm_id_rpow, Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two, intervalIntegral.norm_integral_le_integral_norm_uIoc, WithLp.unitization_norm_inr, Orientation.rotation_oangle_eq_iff_norm_eq, Asymptotics.isBigO_const_of_ne, NormedSpace.exists_lt_norm, NormedSpace.norm_normalize_eq_one_iff, ContDiffPointwiseHolderAt.zero_order_iff, ContinuousLinearMap.NonlinearRightInverse.bound', SchwartzMap.one_add_le_sup_seminorm_apply, Submodule.exists_norm_eq_iInf_of_complete_subspace, HasDerivAtFilter.isTheta_sub, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, WithCStarModule.prod_inner, MeasureTheory.lpNorm_const', SchwartzMap.integrable_pow_mul_iteratedFDeriv, OrthogonalFamily.summable_iff_norm_sq_summable, ContinuousLinearMap.norm_map_removeNth_le, norm_sup_sub_sup_le_norm, MeasureTheory.norm_condExpIndL1Fin_le, InnerProductGeometry.sin_angle_mul_norm_mul_norm, ValueDistribution.proximity_top, ProbabilityTheory.integrable_comp_iff, Orientation.oangle_sub_right_eq_arctan_of_oangle_eq_pi_div_two, Function.HasTemperateGrowth.isBigO_uniform, Orientation.cos_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, HasCompactSupport.convolution_integrand_bound_right, norm_add_lt_of_not_sameRay, Orientation.cos_oangle_eq_inner_div_norm_mul_norm, Measurable.norm, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, sameRay_iff_norm_smul_eq, hasFDerivAt_iff_isLittleO_nhds_zero, Orientation.norm_div_cos_oangle_sub_left_of_oangle_eq_pi_div_two, HasCompactSupport.convolution_integrand_bound_right_of_subset, exists_seq_norm_le_one_le_norm_sub', hasDerivWithinAt_iff_tendsto, unitary.two_mul_one_sub_cos_norm_argSelfAdjoint, Differentiable.norm, HasDerivAt.le_of_lipschitzOn, ContinuousMultilinearMap.fin0_apply_norm, fderiv_norm_sq_apply, RightDerivMeasurableAux.le_of_mem_A, SameRay.norm_eq_iff, InnerProductGeometry.inner_eq_mul_norm_iff_angle_eq_zero, Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two, MeasureTheory.norm_setToFun_le, fderiv_norm_sq, Function.HasTemperateGrowth.isBigO, WeakFEPair.hf_top, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', SchwartzMap.isBigO_cocompact_rpow, MeasureTheory.hasFiniteIntegral_count_iff, Orientation.inner_mul_areaForm_sub, circleIntegrable_log_norm_meromorphicOn_of_nonneg, SchwartzMap.norm_pow_mul_le_seminorm, MeasureTheory.Lp.simpleFunc.norm_toLp, Memℓp.bddAbove, ZLattice.exists_finsetSum_norm_rpow_le_tsum, MeasureTheory.Measure.integrable_pow_neg_integrablePower, intervalIntegral.norm_integral_le_of_norm_le, ZLattice.abs_repr_le, Int.norm_cast_real, GaussianFourier.integral_rexp_neg_mul_sq_norm, lp.tsum_mul_le_mul_norm, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, norm_inner_div_norm_mul_norm_eq_one_iff, InnerProductGeometry.norm_div_cos_angle_add_of_inner_eq_zero, Submodule.mem_iff_norm_starProjection, Quaternion.norm_star, Orientation.abs_volumeForm_apply_le, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, one_add_norm_le_sqrt_two_mul_sqrt, MeasureTheory.L1.norm_eq_integral_norm, Unitary.two_mul_one_sub_cos_norm_argSelfAdjoint, norm_iteratedFDeriv_clm_apply_const
toNormedAddGroup 📖	CompOp	2125 math math: iteratedDerivWithin_sub, Unitary.openPartialHomeomorph_source, SchwartzMap.norm_toLp_le_seminorm, Matrix.l2_opNorm_toEuclideanCLM, HasStrictFDerivAt.isBigO_sub, MeasureTheory.L1.setToL1_eq_setToL1', MeasureTheory.Lp.instHasSolidNorm, ContDiff.sub, Convex.norm_image_sub_le_of_norm_derivWithin_le, MeasureTheory.integrable_indicatorConstLp, ContinuousMap.toLp_inj, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, MeasureTheory.LpToLpRestrictCLM_coeFn, Differentiable.const_sub, MeasureTheory.setToFun_add_left, ContDiffWithinAt.sub, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, ContinuousLinearMap.derivWithin_of_bilinear, DifferentiableWithinAt.const_sub, EuclideanGeometry.dist_smul_vadd_sq, MeasureTheory.tendsto_Lp_of_tendsto_ae, HasDerivWithinAt.clm_comp, deriv_sub_const_fun, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm'', MeasureTheory.condExpInd_of_measurable, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm', AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, extDerivWithin_fun_add, lt_norm_sub_of_not_sameRay, MeasureTheory.condExpL1_smul, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, Real.Angle.sign_two_zsmul_eq_sign_iff, MeasureTheory.Lp.instIsScalarTower, hasSum_geometric_of_norm_lt_one, DomAddAct.mk_vadd_indicatorConstLp, MeasureTheory.setIntegral_compl₀, MDifferentiableOn.clm_postcomp, ContinuousLinearMap.analyticWithinAt_bilinear, MeasureTheory.aestronglyMeasurable_condExpInd, HasCompactSupport.convolution_integrand_bound_left, MeasureTheory.mem_lpMeasSubgroup_iff_aestronglyMeasurable, LinearMap.IsSymmetric.inner_map_polarization, HasFPowerSeriesWithinAt.comp_sub, HasDerivAt.const_sub, ContinuousLinearMap.integral_compLp, FormalMultilinearSeries.comp_partialSum, tendsto_birkhoffAverage_apply_sub_birkhoffAverage', MeasureTheory.withDensityᵥ_sub, MeasureTheory.integral_integral_sub', MeasureTheory.norm_indicatorConstLp_le, SchwartzMap.integral_sesq_fourier_fourier, HasMFDerivAt.add, PadicInt.lift_sub_val_mem_span, EuclideanGeometry.reflection_orthogonal_vadd, NormedRing.inverse_one_sub_norm, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, MeasureTheory.convolution_eq_right', HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, Orientation.oangle_sign_sub_left_swap, ClosedSubmodule.sub_mem_orthogonal_of_inner_right, MeasureTheory.L1.setToL1_indicatorConstLp, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, ProbabilityTheory.Kernel.integral_integral_sub, NormedSpace.exp_zsmul, EuclideanGeometry.two_zsmul_oangle_of_parallel, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_1, UnitAddTorus.coe_mFourierBasis, ZLattice.summable_norm_sub_inv_pow, intervalIntegral.intervalIntegrable_one_div_one_add_sq, Convex.norm_image_sub_le_of_norm_fderivWithin_le', ContDiffBump.normed_sub, Function.FactorizedRational.divisor, norm_eq_iInf_iff_real_inner_le_zero, Real.circleAverage_sub, HasFiniteFPowerSeriesAt.neg, InnerProductGeometry.angle_add_angle_sub_add_angle_sub_eq_pi, DiffContOnCl.sub_const, fderivWithin_comp_add_left, SchwartzMap.inner_fourier_toL2_eq, SchwartzMap.toLp_fourierTransformInv_eq, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, MeasureTheory.L2.inner_indicatorConstLp_eq_inner_setIntegral, fderivWithin_fun_smul, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, Real.Angle.two_zsmul_eq_pi_iff, AnalyticWithinAt.sub, HasFDerivWithinAt.add, MeasureTheory.Lp.mem_Lp_of_ae_bound, MeasureTheory.contDiffOn_convolution_left_with_param, MeasureTheory.tendsto_condExpL1_of_dominated_convergence, curveIntegrable_segment, MDifferentiableAt.cle_arrowCongr, ProbabilityTheory.covarianceBilinDual_apply', RightDerivMeasurableAux.norm_sub_le_of_mem_A, intervalIntegral.integral_derivWithin_uIcc_of_contDiffOn_uIcc, Complex.integral_boundary_rect_eq_zero_of_differentiableOn, hasFTaylorSeriesUpToOn_top_iff_right, SchwartzMap.sub_apply, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, Differentiable.fun_sub_iff_right, HasFPowerSeriesWithinOnBall.hasSum_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, FormalMultilinearSeries.radius_pi_eq_iInf, ProbabilityTheory.Kernel.integral_integral_sub_comp, MeasureTheory.norm_condExpL2_le, SchwartzMap.pairing_apply_apply, MeasureTheory.MemLp.exists_simpleFunc_eLpNorm_sub_lt, MeasureTheory.Lp.instIsOrderedAddMonoid, Matrix.cstar_nnnorm_def, MeasureTheory.MemLp.toLp_val, IsLprojection.Lnorm, hasSum_choose_mul_geometric_of_norm_lt_one, tsum_coe_mul_geometric_of_norm_lt_one', MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, ContinuousLinearMap.continuous_integral_comp_L1, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Orientation.oangle_eq_two_zsmul_oangle_sub_of_norm_eq, MeasureTheory.Lp.edist_def, MeasureTheory.L1.norm_setToL1_le, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, HasDerivWithinAt.fun_div, HasFPowerSeriesOnBall.add, HasDerivWithinAt.complexToReal_fderiv', VectorField.fderiv_apply_lieBracket, MeasureTheory.inner_condExpL2_left_eq_right, ContinuousMap.toLp_denseRange, Orientation.sin_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, Unitary.mem_pathComponentOne_iff, MeasureTheory.Lp.coeFn_add, EuclideanGeometry.oangle_eq_pi_sub_two_zsmul_oangle_of_dist_eq, circleIntegrable_iff, InnerProductGeometry.angle_sub_eq_arccos_of_inner_eq_zero, ContinuousLinearMap.comp_memLp, hensels_lemma, MeasureTheory.Lp.eq_zero_iff_ae_eq_zero, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, PadicInt.appr_spec, Matrix.le_iff, hasFPowerSeriesOnBall_pi_iff, intervalIntegrable_bernoulliFun, MeasureTheory.Lp.ext_iff, ContinuousLinearMap.norm_compLp_le, HasFPowerSeriesOnBall.unshift, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContDiffMapSupportedIn.structureMapCLM_apply, RCLike.sub_conj, iteratedFDerivWithin_succ_eq_comp_right, HasFPowerSeriesWithinAt.const_smul, MeasureTheory.tendsto_Lp_of_tendstoInMeasure, MeasureTheory.Lp.indicatorConstLp_compMeasurePreserving, DifferentiableOn.sub_const, deriv_comp_const_sub, MeasureTheory.Lp.coeFn_const, HasFPowerSeriesWithinOnBall.restrictScalars, MeasureTheory.norm_setToFun_le_mul_norm', LipschitzWith.lipschitzWith_compLp, SchwartzMap.integral_bilin_fourierInv_eq, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, VectorField.fderiv_apply_lieBracket_of_isSymmSndFDerivAt, HasFDerivAtFilter.fun_sum, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, MeasureTheory.norm_indicatorConstLp, Submodule.orthogonalProjectionFn_inner_eq_zero, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, HasFDerivAtFilter.sub, ContMDiffOn.clm_postcomp, ContinuousMap.range_toLp, eqOn_dslope_sub_smul, selfAdjoint.expUnitaryPathToOne_apply, NormedRing.inverse_add_norm_diff_nth_order, MeasureTheory.Supermartingale.sub_martingale, Unitary.continuousOn_argSelfAdjoint, Orientation.two_zsmul_oangle_neg_left, MeasureTheory.L1.ofReal_norm_eq_lintegral, norm_abs_sub_abs, IsometryEquiv.toRealLinearIsometryEquiv_apply, MeasureTheory.condExpIndL1Fin_smul, RCLike.wInner_sub_right, instIsAddHaarMeasureVolume, intervalIntegral.intervalIntegrable_inv, ContDiffPointwiseHolderAt.isBigO, AnalyticOn.comp_sub, ContinuousAlternatingMap.map_insertNth, PadicInt.sub_zmodRepr_mem, MeasureTheory.Lp.dist_def, tsum_choose_mul_geometric_of_norm_lt_one', OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, MeasureTheory.Lp.aestronglyMeasurable, fderiv_clm_comp, SchwartzMap.bilinLeftCLM_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, MeasureTheory.L1.SimpleFunc.setToL1SCLM_const, derivWithin_comp_const_sub, hasSum_coe_mul_geometric_of_norm_lt_one', AffineMap.hasDerivWithinAt, Real.Angle.two_zsmul_eq_iff_eq, MeasureTheory.lpMeasSubgroupToLpTrim_neg, HasDerivWithinAt.liminf_right_norm_slope_le, MeasureTheory.Lp.simpleFunc.uniformContinuous, tsum_coe_mul_geometric_of_norm_lt_one, HasFPowerSeriesAt.neg, MeasureTheory.Lp.memLp, InnerProductGeometry.norm_div_cos_angle_sub_of_inner_eq_zero, BoxIntegral.integral_sub, MeasureTheory.Lp.nnnorm_def, fourierIntegral_gaussian_innerProductSpace', hasDerivWithinAt_iff_isLittleO, MeasureTheory.Integrable.toL1_zero, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, FDerivMeasurableAux.le_of_mem_A, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, MonotoneOn.intervalIntegrable, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, MeasureTheory.lpMeasSubgroupToLpTrim_ae_eq, FormalMultilinearSeries.hasSum_of_finite, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, HasFPowerSeriesOnBall.restrictScalars, ZSpan.smul, hasMellin_sub, MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, ClosedSubmodule.inf_orthogonal, HasFDerivAtFilter.const_sub, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, ContinuousLinearMap.isPositive_natCast, tendsto_birkhoffAverage_apply_sub_birkhoffAverage, Submodule.sub_mem_orthogonal_of_inner_left, sum_cauchyPowerSeries_eq_integral, NumberField.mixedEmbedding.instIsAddHaarMeasureMixedSpaceVolume, MeasureTheory.condExpIndL1_add, fderiv_fun_smul, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, LinearIsometryEquiv.conjStarAlgEquiv_apply, HasDerivWithinAt.sub, iteratedFDerivWithin_comp_add_right', MeasureTheory.ConvolutionExistsAt.integrable, MeasureTheory.norm_indicatorConstLp_top, iter_deriv_zpow', MeasureTheory.UnifIntegrable.sub, hasLineDerivAt_iff_isLittleO_nhds_zero, Orientation.two_zsmul_oangle_neg_self_right, IntervalIntegrable.zero, HasFiniteFPowerSeriesOnBall.sum, MeasureTheory.L1.integral_smul, Meromorphic.sub, TestFunction.toBoundedContinuousFunctionCLM_apply, MeasureTheory.Lp.instFourierInvSMul, hasFDerivWithinAt_sub_const_iff, ContinuousMap.summable_of_locally_summable_norm, Filter.Tendsto.eventually_intervalIntegrable, ContinuousLinearMap.smul_compLp, difference_quotients_converge_uniformly, HasDerivWithinAt.sub_const, InnerProductGeometry.tan_angle_sub_mul_norm_of_inner_eq_zero, HasStrictFDerivAt.fun_sum, HasFPowerSeriesAt.add, differentiableWithinAt_sub_const_iff, ContinuousAlternatingMap.curryLeft_smul, Orientation.oangle_sign_sub_right, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, PointwiseConvergenceCLM.tendsto_nhds, ContMDiffAt.clm_postcomp, ContMDiffWithinAt.clm_postcomp, Real.integrable_prod_sub, BoxIntegral.HasIntegral.sub, MeasureTheory.L2.inner_def, MeasureTheory.Lp.enorm_toLp, WeakFEPair.hf_zero', SchwartzMap.toLpCLM_apply, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, IntervalIntegrable.comp_sub_left_iff, FormalMultilinearSeries.sum_of_finite, Submodule.reflection_singleton_apply, MeasureTheory.condExpIndL1Fin_add, fderiv_sum, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, HasStrictDerivAt.clm_comp, MeasureTheory.Lp.compMeasurePreservingₗ_apply, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, CStarMatrix.instIsUniformAddGroup, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, tsum_geometric_of_norm_lt_one, derivWithin_clm_comp, MeasureTheory.condExpL1_measure_zero, Submodule.reflection_apply, AnalyticOn.sub, curveIntegralFun_segment, Besicovitch.SatelliteConfig.exists_normalized_aux2, MeasureTheory.eLpNorm_sub_le, SchwartzMap.inner_toL2_toL2_eq, MeasureTheory.AEEqFun.integrable_iff_mem_L1, HasFDerivAt.sub, FormalMultilinearSeries.radius_le_smul, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, MDifferentiable.clm_postcomp, InnerProductSpace.gramSchmidt_def, ValueDistribution.logCounting_coe_eq_logCounting_sub_const_zero, ValueDistribution.proximity_coe_eq_proximity_sub_const_zero, MeasureTheory.Lp.simpleFunc.isDenseEmbedding, dslope_eventuallyEq_slope_nhdsNE, RCLike.ofReal_sub, fderivWithin_const_sub, hasDerivAt_iff_isLittleO, intervalIntegral.intervalIntegrable_of_integral_ne_zero, MonotoneOn.intervalIntegrable_deriv, Orientation.oangle_sub_right_eq_arccos_of_oangle_eq_pi_div_two, Polynomial.abs_div_tendsto_atTop_of_degree_gt, EuclideanGeometry.angle_vadd_const, Submodule.starProjection_inner_eq_zero, nndist_right_lineMap, MeasureTheory.L1.SimpleFunc.norm_setToL1S_le, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, InnerProductGeometry.sin_angle_div_norm_eq_sin_angle_div_norm, HasFPowerSeriesOnBall.const_smul, hasFDerivAtFilter_sub_const_iff, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, MeasureTheory.MemLp.exist_eLpNorm_sub_le, FormalMultilinearSeries.radius_compNeg, intervalIntegral.intervalIntegrable_zpow, HasFDerivAt.multilinear_comp, BoxIntegral.hasIntegral_GP_pderiv, SchwartzMap.integral_bilin_fourierIntegral_eq, DomMulAct.smul_Lp_sub, Real.Angle.two_zsmul_coe_div_two, NormedRing.inverse_one_sub_nth_order, MeasureTheory.L1.SimpleFunc.setToL1S_neg, SchwartzMap.toLp_fourierInv_eq, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeasureTheory.continuous_condExpIndL1, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, MeasureTheory.Lp.nnnorm_eq_zero_iff, abs_lt_norm_sub_of_not_sameRay, DifferentiableOn.sub, Orientation.oangle_sign_sub_smul_left, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, MDifferentiable.cle_arrowCongr, MeasureTheory.MemLp.exists_boundedContinuous_integral_rpow_sub_le, MeasureTheory.dominatedFinMeasAdditive_condExpInd, MeasureTheory.L1.SimpleFunc.integral_add, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, MeasureTheory.Integrable.edist_toL1_zero, intervalIntegral.intervalIntegrable_inv_one_add_sq, HasFDerivAt.fun_smul, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, ZLattice.comap_toAddSubgroup, fderiv_continuousAlternatingMapCompContinuousLinearMap, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, Submodule.coe_orthogonalDecomposition_symm, MeasureTheory.Lp.finStronglyMeasurable, SchwartzMap.integral_sesq_fourier_eq, MeasureTheory.aestronglyMeasurable_condExpL2, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, isAddHaarMeasure_basis_addHaar, ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, MeasureTheory.integral_fn_integral_sub, MeasureTheory.L1.setToL1_zero_left, MeasureTheory.withDensityᵥ_add', MeasureTheory.setIntegral_compl, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, MeasureTheory.condExpInd_nonneg, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, norm_curveIntegral_segment_le, MeasureTheory.integral_Ioi_deriv_mul_eq_sub, MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto', HasFDerivAtFilter.isThetaTVS_sub, MeasureTheory.condExpL1_of_aestronglyMeasurable', LindemannWeierstrass.exp_polynomial_approx, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, MeasureTheory.L1.continuous_integral, Real.Angle.sign_pi_sub, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, MeasureTheory.Lp.stronglyMeasurable, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, MeasureTheory.L1.integrable_coeFn, SchwartzMap.injective_toLp, MeasureTheory.condExpL2_indicator_ae_eq_smul, fderiv_fun_sub, FormalMultilinearSeries.rightInv_removeZero, geom_series_succ, ClosedSubmodule.orthogonal_closure'', PadicInt.exists_mem_range, EulerProduct.eulerProduct_completely_multiplicative, deriv_sub, HasStrictDerivAt.div, Orientation.oangle_sign_sub_smul_right, PadicInt.exists_mem_range_of_norm_rat_le_one, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, UnitAddTorus.mFourierCoeff_toLp, MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul, LinearMap.extendTo𝕜'_apply, MeasureTheory.Lp.dist_edist, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, ContinuousLinearMap.holderₗ_apply_apply, taylor_tendsto, dslope_sub_smul, HasFDerivAt.curveIntegral_segment_source, ContinuousMultilinearMap.curryRight_norm, InnerProductGeometry.sin_angle_mul_norm_eq_sin_angle_mul_norm, ContinuousLinearMap.analyticOn_bilinear, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left', HasFDerivAt.add, MDifferentiableAt.clm_postcomp, MeasureTheory.Lp.coeFn_mk, fderiv_continuousAlternatingMap_apply, hasFDerivAt_sub_const_iff, MeasureTheory.Lp.norm_zero, MeasureTheory.Lp.mem_Lp_of_ae_nnnorm_bound, MeasureTheory.continuous_setToFun, HasFDerivWithinAt.const_sub, MeasureTheory.Lp.simpleFunc.sub_toSimpleFunc, MeasureTheory.tendstoInMeasure_iff_tendsto_Lp, MeasureTheory.L1.dist_eq_integral_dist, MeasureTheory.L1.norm_def, iteratedFDeriv_add_apply, BoundedContinuousFunction.instIsOrderedAddMonoid, EuclideanGeometry.Sphere.oangle_eq_pi_sub_two_zsmul_oangle_center_left, HasFDerivAt.sum, instNormedSpaceLieAddGroup, MeasureTheory.integral_condExpL2_eq, ContinuousLinearMap.instStarOrderedRing, DomAddAct.instIsIsometricVAddSubtypeAEEqFunMemAddAddSubgroupLp, Unitary.openPartialHomeomorph_symm_apply, MeasureTheory.AEEqFun.Integrable.sub, BoundedVariationOn.intervalIntegrable_deriv, MeasureTheory.Lp.edist_toLp_toLp, extDerivWithin_add, iteratedFDerivWithin_comp_add_left, hasGradientAtFilter_iff_isLittleO, MeasureTheory.convolution_precompR_apply, orthonormal_fourier, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, hasGradientAt_iff_isLittleO, MeasureTheory.setIntegral_condExpL2_indicator, norm_image_sub_le_of_norm_deriv_le_segment, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, fderiv_smul, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, intervalIntegral.intervalIntegrable_sin, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left, MeasureTheory.Integrable.norm_toL1, hasDerivAtFilter_iff_tendsto_slope, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, ContinuousLinearMap.setIntegral_compLp, ContinuousAlternatingMap.curryLeft_apply_apply, affinity_unitClosedBall, HasFPowerSeriesOnBall.comp_sub, Submodule.norm_eq_iInf_iff_inner_eq_zero, BoundedContinuousFunction.coe_posPart, HasCompactSupport.hasDerivAt_convolution_right, MeasureTheory.Lp.edist_toLp_zero, Unitary.norm_sub_one_lt_two_iff, exists_norm_le_le_norm_sub_of_finset, MeasureTheory.L1.setToL1_mono_left', MeasureTheory.ConvolutionExistsAt.integrable_swap, Real.Angle.two_zsmul_coe_pi, DomAddAct.vadd_Lp_add, HasFiniteFPowerSeriesOnBall.eq_partialSum, MeasureTheory.Integrable.toL1_eq_mk, Submodule.topologicalClosure_eq_self, AffineMap.hasDerivAt_lineMap, HasDerivAtFilter.isBigO_sub_rev, MeasureTheory.contDiffOn_convolution_right_with_param, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, EuclideanGeometry.orthogonalProjection_apply', MeasureTheory.condExpIndSMul_empty, Orientation.tan_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_within_diff_singleton, iteratedDerivWithin_const_sub, iteratedFDeriv_comp_sub, MeasureTheory.contDiffOn_convolution_left_with_param_comp, MeasureTheory.SimpleFunc.nnnorm_approxOn_le, AffineMap.hasDerivWithinAt_lineMap, ContinuousLinearMap.fderiv_of_bilinear, has_fderiv_at_filter_real_equiv, MeasureTheory.setIntegral_condExpInd, Polynomial.abs_tendsto_atTop_iff, ContinuousAlternatingMap.alternatizeUncurryFin_smul, SchwartzMap.toBoundedContinuousFunctionCLM_apply, extDeriv_apply_vectorField, curveIntegral_segment, hasDerivAt_iff_tendsto_slope_left_right, MeasureTheory.edist_indicatorConstLp_eq_enorm, controlled_closure_of_complete, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, HasDerivAtFilter.sub, mul_neg_geom_series, ValueDistribution.isBigO_characteristic_sub_characteristic_shift, deriv_fun_div, Function.FactorizedRational.mulSupport, Differentiable.sub_iff_right, HasFDerivWithinAt.fun_smul, MeasureTheory.L1.setToL1_eq_setToL1SCLM, intervalIntegral.integral_deriv_comp_smul_deriv', MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, iteratedDeriv_const_sub, MeasureTheory.convolution_def, MeasureTheory.norm_condExpL2_coe_le, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, HasFPowerSeriesWithinOnBall.prod, MDifferentiableWithinAt.clm_precomp, MeasureTheory.aestronglyMeasurable_condExpL1, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, SchwartzMap.norm_fourier_toL2_eq, MeasureTheory.Lp.boundedContinuousFunction_topologicalClosure, MeasureTheory.Lp.SecondCountableTopology, sum_mul_eq_sub_integral_mul', Orientation.oangle_rotation_left, Function.FactorizedRational.meromorphicOrderAt_eq, HasFPowerSeriesOnBall.uniform_geometric_approx, unitary.norm_sub_eq, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, norm_sub_le_mul_volume_of_norm_deriv_le_of_le, MeromorphicOn.divisor_sub_const_self, MeasureTheory.Lp.instCompleteSpace, MeasureTheory.Lp.norm_toLp, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, ValueDistribution.characteristic_sub_characteristic_eq_proximity_sub_proximity, MeasureTheory.Lp.instFourierPair, fourier_gaussian_innerProductSpace', iteratedDeriv_comp_sub_const, ContDiffBump.convolution_tendsto_right, intervalIntegral.intervalIntegrable_log, Orientation.cos_oangle_sub_right_of_oangle_eq_pi_div_two, MeasureTheory.L1.integral_def, FormalMultilinearSeries.hasSum, derivWithin_fun_div, BoundedContinuousFunction.Lp_nnnorm_le, Matrix.toEuclideanCLM_toLp, DomMulAct.edist_smul_Lp, hasSum_fourier_series_L2, norm_commutator_sub_one_le, MeasureTheory.L1.SimpleFunc.setToL1S_smul_real, analyticOrderAt_centeredMonomial, HasFPowerSeriesOnBall.sum, Real.tendsto_integral_gaussian_smul', BoundedContinuousFunction.range_toLpHom, Polynomial.abs_tendsto_atTop, exists_seq_norm_le_one_le_norm_sub, MeasureTheory.lpNorm_sub_comm, selfAdjoint.expUnitary_zero, Convex.norm_image_sub_le_of_norm_fderivWithin_le, ContMDiffOn.clm_precomp, hasGradientAt_iff_isLittleO_nhds_zero, BoundedContinuousFunction.toLp_inj, MeasureTheory.mem_lpMeas_indicatorConstLp, ValueDistribution.logCounting_sub_const, BoundedContinuousFunction.toLp_injective, Function.FactorizedRational.finprod_eq_fun, ContinuousAlternatingMap.norm_curryLeft, MeasureTheory.integral_indicatorConstLp, tsum_pow_div_one_sub_eq_tsum_sigma, SchwartzMap.pairing_apply, MeasureTheory.Lp.coeFn_compMeasurePreserving, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, HasFPowerSeriesWithinOnBall.unshift, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, MeasureTheory.condExpIndSMul_smul, MeasureTheory.lintegral_nnnorm_condExpL2_le, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, MeasureTheory.Lp.compMeasurePreservingₗᵢ_apply_coe, HasFPowerSeriesOnBall.compContinuousLinearMap, MeasureTheory.L1.setToFun_eq_setToL1, LinearMap.IsSymmetric.coe_toSelfAdjoint, SchwartzMap.norm_fourierTransformCLM_toL2_eq, ContDiffMapSupportedIn.uniformSpace_eq_iInf, MeasureTheory.enorm_indicatorConstLp_le, MeasureTheory.Lp.norm_neg, Real.Angle.two_zsmul_toReal_eq_two_mul_sub_two_pi, MeasureTheory.norm_integral_sub_setIntegral_le, curveIntegral_segment_const, mfderiv_sub, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_filter, MeasureTheory.L1.integral_eq_setToL1, BoxIntegral.BoxAdditiveMap.volume_apply, Real.fourier_mul_convolution_eq, MeasureTheory.Integrable.toL1_smul, ContDiffBump.normed_convolution_eq_right, MeasureTheory.Lp.nnnorm_neg, InnerProductGeometry.sin_angle_sub_of_inner_eq_zero, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, intervalIntegral.intervalIntegrable_cos, ContinuousLinearMap.holder_smul_left, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, Real.Angle.cos_sub_pi, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', MeasureTheory.hasFDerivAt_convolution_right_with_param, MeasureTheory.integral_deriv_mul_eq_sub, MeasureTheory.Lp.coeFn_smul, DomMulAct.mk_smul_toLp, MeasureTheory.condExpL1CLM_indicatorConstLp, fderivWithin_sub_const, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, HasCompactSupport.hasFDerivAt_convolution_right, ContDiffMapSupportedIn.structureMapCLM_zero_apply, VonNeumannAlgebra.centralizer_centralizer', intervalIntegral.intervalIntegrable_rpow, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, MeasureTheory.Integrable.sub, OrthonormalBasis.starProjection_eq_sum_rankOne, MeasureTheory.Submartingale.sub_supermartingale, MeasureTheory.L1.SimpleFunc.coe_negPart, logDeriv_div, MeasureTheory.integrableOn_Lp_of_measure_ne_top, MeasureTheory.L1.setToL1_mono_left, MeasureTheory.Lp.dist_eq_norm, selfAdjoint.continuous_expUnitary, MeasureTheory.condExpInd_disjoint_union, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, MeasureTheory.Lp.coeFn_le, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, MeasureTheory.Lp.simpleFunc.add_toSimpleFunc, HasFPowerSeriesWithinOnBall.sum, LinearMap.extendTo𝕜_apply, HasDerivAt.sub, UnitAddTorus.coeFn_mFourierLp, MeasureTheory.integral_average_sub, compContinuousLinearMap_zero, MeromorphicOn.divisor_sub_const_of_ne, Function.HasTemperateGrowth.fun_sub, MeasureTheory.SimpleFunc.norm_approxOn_y₀_le, FormalMultilinearSeries.le_radius_compContinuousLinearMap, MeasureTheory.setIntegral_condExpIndSMul, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, MeasureTheory.SimpleFunc.setToSimpleFunc_sub, Polynomial.intervalIntegrable_mahlerMeasure, MeasureTheory.Integrable.exists_boundedContinuous_lintegral_sub_le, Submodule.norm_eq_iInf_iff_real_inner_eq_zero, MeasureTheory.indicatorConstLp_univ, fderiv_fun_add, intervalIntegrable_sub_inv_iff, HasFiniteFPowerSeriesOnBall.comp_sub, MeasureTheory.integral_diff, continuousMultilinearCurryRightEquiv_symm_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, hasFTaylorSeriesUpToOn_top_iff', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, MeasureTheory.norm_setToFun_le', extDerivWithin_apply_vectorField_of_pairwise_commute, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, Polynomial.abs_tendsto_atBot_iff, MeasureTheory.Lp.norm_const_le, ProbabilityTheory.instIsGaussianMapHSub, ContMDiffOn.cle_arrowCongr, Real.Angle.tan_sub_pi, EuclideanGeometry.oangle_sub_left, HasFDerivWithinAt.fun_sub, Real.Angle.sub_coe_pi_eq_add_coe_pi, intervalIntegral.intervalIntegrable_cpow, iteratedFDeriv_tsum, MeasureTheory.eLpNorm_sub_comm, ContinuousLinearMap.adjointAux_apply, MeasureTheory.Lp.coeFn_negPart_eq_max, fderivWithin_fun_sub, AntitoneOn.intervalIntegrable, HasFPowerSeriesAt.comp_sub, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_left, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, VitaliFamily.ae_tendsto_average_norm_sub, HasLineDerivAt.tendsto_slope_zero_left, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, MeasureTheory.condExpL1_undef, MeasureTheory.Lp.nnnorm_toLp, HasDerivAtFilter.sub_const, ExistsContDiffBumpBase.u_int_pos, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, Finset.norm_prod_one_add_sub_one_le, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, Submodule.sub_starProjection_mem_orthogonal, MeasureTheory.Measure.MeasureDense.indicatorConstLp_subset_closure, MeasureTheory.L1.SimpleFunc.setToL1S_sub, dslope_sub_smul_of_ne, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', iter_deriv_zpow, Real.Angle.sign_sub_pi, ContinuousMap.toLp_def, natCast_le_analyticOrderAt, MeasureTheory.Submartingale.pos, HasFDerivAtFilter.sum, SchwartzMap.integral_bilin_fourier_eq, MeasureTheory.lpNorm_sub_le, MeasureTheory.integral_sub, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, AnalyticOnNhd.comp_sub, affinity_unitBall, MonotoneOn.intervalIntegrable_slope, hasFTaylorSeriesUpToOn_succ_iff_right, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, ContinuousMultilinearMap.norm_map_init_le, ContinuousAlternatingMap.hasStrictFDerivAt, LinearIsometryEquiv.conjStarAlgEquiv_refl, HasDerivAt.tendsto_slope_zero_left, HasDerivAt.complexToReal_fderiv', MeasureTheory.L2.inner_indicatorConstLp_one, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, MeasureTheory.L1.setToL1_smul_left', MeasureTheory.Lp.boundedContinuousFunction_dense, LinearMap.IsSymmetric.toSelfAdjoint_apply, Unitary.norm_sub_one_sq_eq, MeasureTheory.Lp.constₗ_apply, MeasureTheory.Lp.coe_nnnorm, Orientation.norm_div_sin_oangle_sub_right_of_oangle_eq_pi_div_two, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, VectorField.lieBracket_eq, DifferentiableAt.fun_sub, MeasureTheory.L1.SimpleFunc.toLp_one_eq_toL1, EulerProduct.eulerProduct_completely_multiplicative_tprod, MeasureTheory.Lp.mem_boundedContinuousFunction_iff, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_2, InnerProductGeometry.norm_div_tan_angle_sub_of_inner_eq_zero, MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le, MeasureTheory.condExpIndSMul_add, Orientation.oangle_sub_left_eq_arcsin_of_oangle_eq_pi_div_two, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, MeasureTheory.Lp.norm_fourier_eq, AnalyticAt.analyticOrderAt_deriv_add_one, normRingNorm_toFun, Matrix.exp_zsmul, iteratedFDerivWithin_comp_sub, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, HasDerivAt.sub_const, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, contDiffPointwiseHolderAt_iff, SchwartzMap.coeFn_toLp, ContinuousLinearMap.aestronglyMeasurable_comp₂, differentiableWithinAt_comp_sub, MeasureTheory.Lp.instFourierSMul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left, RCLike.wInner_sub_left, MeasureTheory.Lp.simpleFunc.toLp_eq_toLp, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, MeasureTheory.Lp.norm_const', HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, MeasureTheory.norm_condExpIndL1_le, Real.Angle.two_zsmul_neg_pi_div_two, fderiv_fun_sum, SchwartzMap.norm_toLp, AffineMap.hasDerivAt, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, iteratedDerivWithin_zpow, fourierIntegral_eq_half_sub_half_period_translate, InnerProductGeometry.angle_sub_le_pi_div_two_of_inner_eq_zero, Quaternion.re_exp, meromorphicOrderAt_eq_int_iff, EuclideanGeometry.orthogonalProjection_vadd_eq_self, dist_lineMap_right, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, MeasureTheory.condExpL1_add, AffineMap.differentiableAt, Convex.norm_image_sub_le_of_norm_fderiv_le, MeasureTheory.Lp.smul_zero, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, MeasureTheory.UnifTight.sub, HasFPowerSeriesWithinAt.pi, MeasureTheory.lpNorm_le_lpNorm_add_lpNorm_sub', MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul, VonNeumannAlgebra.mem_carrier, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, DomMulAct.mk_smul_indicatorConstLp, intervalIntegral.integral_deriv_comp_smul_deriv, MeasureTheory.norm_condExpInd_apply_le, hasFTaylorSeriesUpTo_top_iff', fderivWithin_iteratedFDerivWithin, Orientation.oangle_sub_eq_oangle_sub_rev_of_norm_eq, ContinuousLinearMap.rayleighQuotient_add, IntervalIntegrable.log, hasFDerivAt_iff_tendsto, ContinuousLinearMap.deriv_of_bilinear, Real.Angle.two_zsmul_toReal_eq_two_mul, ContinuousLinearMap.nnnorm_holder_apply_apply_le, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Orientation.sin_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, ContinuousLinearMap.bilinear_hasTemperateGrowth, Orientation.cos_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, DomAddAct.norm_vadd_Lp, HasDerivWithinAt.limsup_norm_slope_le, Submodule.orthogonal_orthogonal_eq_closure, MeasureTheory.condExpL1_neg, MeasureTheory.Lp.instTrivialStarSubtypeAEEqFunMemAddSubgroup, eqOn_dslope_slope, MeasureTheory.L1.nnnorm_integral_le, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, Orientation.two_zsmul_oangle_of_span_eq_of_span_eq, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, MeasureTheory.Lp.norm_smul_le, intervalIntegral.intervalIntegrable_id, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, Function.FactorizedRational.meromorphicNFOn_univ, ContinuousMultilinearMap.curryFinFinset_apply_const, Module.Basis.addHaar_def, MeasureTheory.isClosed_aestronglyMeasurable, HasStrictDerivAt.fun_div, hasDerivWithinAt_taylor_coeff_within, differentiableAt_comp_const_sub, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, MeasureTheory.Lp.coeFn_sup, HasFDerivAtFilter.isTheta_sub, mfderiv_add, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, Collinear.two_zsmul_oangle_eq_right, MeasureTheory.lpNorm_sub_le_lpNorm_sub_add_lpNorm_sub, MDifferentiableAt.sub, ContinuousMultilinearMap.hasStrictFDerivAt, Continuous.intervalIntegrable, signedDist_vadd_left_swap, hasFTaylorSeriesUpTo_succ_nat_iff_right, iteratedFDeriv_add, ProbabilityTheory.IsGaussianProcess.shift, MeasureTheory.Lp_toLp_restrict_add, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, ClosedSubmodule.iInf_orthogonal, HasDerivAt.clm_comp, EuclideanGeometry.reflection_apply_of_mem, DifferentiableWithinAt.sub, HasFPowerSeriesOnBall.neg, MeasureTheory.setIntegral_condExpL1, ContinuousLinearMap.uncurryBilinear_apply, Asymptotics.continuousAt_iff_isLittleO, exists_taylor_mean_remainder_bound, MeasureTheory.integral_posConvolution, Orientation.sin_oangle_sub_left_of_oangle_eq_pi_div_two, AddChar.tendsto_eval_one_sub_pow, VectorFourier.integral_fourierIntegral_swap, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, ContinuousOn.intervalIntegrable_of_Icc, dist_homothety_self, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, HasStrictFDerivAt.add, sum_mul_eq_sub_integral_mul₀', MeasureTheory.condExpIndL1_smul, UnitAddTorus.orthonormal_mFourier, ContinuousMap.toLp_norm_eq_toLp_norm_coe, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_sub, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_increments, Orientation.oangle_sub_left_eq_arccos_of_oangle_eq_pi_div_two, MeasureTheory.LocallyIntegrable.sub, tsum_choose_mul_geometric_of_norm_lt_one, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, ClosedSubmodule.sub_mem_orthogonal_of_inner_left, MeasureTheory.weightedSMul_add_measure, MeasureTheory.Integrable.enorm_toL1, MeasureTheory.continuous_integral_integral, fourierCoeff_toLp, coe_fourierBasis, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', lp.coeFn_sub, curveIntegral_fun_add, FormalMultilinearSeries.changeOrigin_eval_of_finite, VectorField.fderivWithin_apply_lieBracket_of_isSymmSndFDerivWithinAt, signedDist_vadd_right, InnerProductGeometry.cos_angle_sub_of_inner_eq_zero, Complex.isAddQuotientCoveringMap_exp, AnalyticAt.analyticOrderAt_eq_natCast, DifferentiableOn.const_sub, CPolynomialOn.sub, MeasureTheory.lpMeasSubgroupToLpTrim_sub, dist_self_homothety, MeasureTheory.Integrable.toL1_sub, deriv_fun_sub, MeasureTheory.MemLp.toLp_neg, DifferentiableAt.fun_sub_iff_right, Real.Angle.coe_sub, padic_polynomial_dist, Orientation.oangle_sign_sub_right_eq_neg, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, Real.Angle.intCast_mul_eq_zsmul, ZSpan.isAddFundamentalDomain', InnerProductGeometry.tan_angle_sub_of_inner_eq_zero, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, FormalMultilinearSeries.radius_neg, Function.FactorizedRational.analyticAt, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae, ProbabilityTheory.Kernel.continuous_integral_integral, DomMulAct.smul_Lp_neg, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, ContinuousMultilinearMap.curryMidEquiv_apply, ApproximatesLinearOn.lipschitz_sub, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, MeasureTheory.L2.real_inner_indicatorConstLp_one_indicatorConstLp_one, fderiv_sub_const, Real.Angle.two_zsmul_eq_iff_eq_of_abs_toReal_lt_pi_div_two, ContinuousLinearMap.analyticOnNhd_bilinear, PadicInt.zmodRepr_spec, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', CStarMatrix.instIsTopologicalAddGroup, AnalyticAt.analyticOrderNatAt_eq_iff, MeasureTheory.Integrable.abs, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, Differentiable.sub, iteratedFDerivWithin_add_apply, MeasureTheory.MemLp.exists_hasCompactSupport_integral_rpow_sub_le, fderiv_tsum, qExpansion_sub, HasFDerivWithinAt.isBigO_sub, WeakFEPair.hg_top, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, MeasureTheory.setAverage_sub_setAverage, EulerProduct.eulerProduct_completely_multiplicative_hasProd, Orientation.oangle_sign_smul_sub_left, MeasureTheory.Lp.simpleFunc.denseRange, MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.eLpNorm_sub_le', MeasureTheory.condExp_ae_eq_condExpL1, AnalyticAt.sub, Submodule.reflection_sub, HasDerivAtFilter.isBigO_sub, unitary.two_mul_one_sub_le_norm_sub_one_sq, NormedRing.inverse_one_sub, HasFDerivAtFilter.fun_sub, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, MeasureTheory.condExpIndL1_smul', HasDerivAt.fun_div, InnerProductGeometry.sin_angle_sub_mul_norm_of_inner_eq_zero, HasFTaylorSeriesUpToOn.fderivWithin, InnerProductGeometry.norm_sub_eq_add_norm_iff_angle_eq_pi, circleIntegral.integral_sub, ContinuousLinearMap.norm_map_tail_le, ProbabilityTheory.HasGaussianLaw.fun_sub, HasFPowerSeriesAt.restrictScalars, BoundedContinuousFunction.mem_Lp, iteratedFDerivWithin_comp_add_right, nndist_lineMap_right, MeasureTheory.lpMeasSubgroupToLpTrim_right_inv, Orientation.oangle_sub_left, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, DifferentiableAt.isBigO_sub, BoundedContinuousFunction.Lp_norm_le, DomAddAct.vadd_Lp_ae_eq, HasDerivWithinAt.div, MeasureTheory.Lp.norm_constL_le, HasGradientAtFilter.isBigO_sub, hasDerivAtFilter_sub_const_iff, ContinuousLinearMap.adjointAux_adjointAux, HasStrictFDerivAt.const_sub, HasFDerivAt.sub_const, MeasureTheory.Lp.simpleFunc.neg_toSimpleFunc, fderiv_sub, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, DomMulAct.norm_smul_Lp, ContMDiffAt.clm_precomp, MeasureTheory.condExpL2_indicator_of_measurable, MeasureTheory.Lp.add_smul, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, iter_deriv_pow', ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, MeasureTheory.condExp_ae_eq_condExpL1CLM, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, DomAddAct.vadd_Lp_sub, ProbabilityTheory.Kernel.integral_fn_integral_sub, WeakFEPair.hf_zero, BoundedContinuousFunction.coeFn_toLp, CPolynomialAt.sub, MeasureTheory.Integrable.toL1_smul', BoxIntegral.Integrable.sub, Orientation.tan_oangle_sub_left_of_oangle_eq_pi_div_two, Orientation.oangle_sub_right_smul_rotation_pi_div_two, PhragmenLindelof.isBigO_sub_exp_exp, Real.Angle.sin_pi_div_two_sub, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, MeasureTheory.Lp.instContinuousVAddDomAddAct, NormedRing.inverse_add_norm_diff_second_order, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, PadicInt.limNthHom_spec, ContinuousMultilinearMap.uncurryRight_apply, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', MeasureTheory.condExpL1CLM_indicatorConst, DifferentiableAt.sub_iff_left, MeasureTheory.mem_lpMeasSubgroup_toLp_of_trim, MeasureTheory.L1.nnnorm_Integral_le_one, MeasureTheory.lpMeasSubgroupToLpTrim_add, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae', MeasureTheory.L1.integral_eq_norm_posPart_sub, MeasureTheory.Lp.instContinuousFourierInv, dslope_of_ne, Orientation.oangle_sign_sub_left_eq_neg, Unitary.openPartialHomeomorph_target, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, UnitAddTorus.hasSum_mFourier_series_L2, MeasureTheory.Lp.norm_const, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, MeasureTheory.integral_sub', MeasureTheory.lpMeasSubgroupToLpTrim_left_inv, ZSpan.exist_unique_vadd_mem_fundamentalDomain, HasFDerivAtFilter.fun_add, extDeriv_add, HasStrictDerivAt.sub, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasFiniteFPowerSeriesOnBall.neg, sum_mul_eq_sub_integral_mul₁, lp.single_sub, hasGradientAt_iff_tendsto, AffineMap.derivWithin, Real.Angle.two_zsmul_eq_iff, InnerProductSpace.Core.inner_sub_sub_self, MeromorphicAt.meromorphicAt_sub_iff_meromorphicAt₂, MeasureTheory.contDiffOn_convolution_right_with_param_comp, extDerivWithin_apply_vectorField, Real.fourier_bilin_convolution_eq, BoxIntegral.BoxAdditiveMap.toSMul_apply, MeasureTheory.Lp.instAddLeftMono, MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_le, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ContinuousLinearMap.norm_uncurryMid, MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, ProbabilityTheory.HasGaussianLaw.sub, ContinuousLinearMap.uncurryLeft_norm, differentiableWithinAt_comp_add_right, ContinuousLinearMap.holder_smul_right, HasFDerivWithinAt.multilinear_comp, HasFPowerSeriesOnBall.tendstoUniformlyOn', Pretrivialization.continuousLinearMap.isLinear, HasFPowerSeriesWithinOnBall.const_smul, ProbabilityTheory.Kernel.integral_integral_sub', Orientation.oangle_sub_right_eq_arcsin_of_oangle_eq_pi_div_two, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, EuclideanGeometry.angle_sub_const, MeasureTheory.L2.eLpNorm_inner_lt_top, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', meromorphicTrailingCoeffAt_id_sub_const, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, derivWithin_fun_sub, MeasureTheory.condExpL1CLM_lpMeas, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, EuclideanGeometry.inversion_def, InnerProductSpaceable.parallelogram_identity, HasStrictFDerivAt.fun_sub, MeasureTheory.Lp.mem_Lp_iff_memLp, SchwartzMap.integral_bilinear_laplacian_right_eq_left, MeasureTheory.eLpNorm_indicator_sub_indicator, MeromorphicOn.sub, StrongDual.toLpₗ_apply, MeasureTheory.L1.setToL1_apply_coeToLp, MeasureTheory.Lp.const_mem_Lp, HasStrictFDerivAt.isEquivalent_sub, Orientation.oangle_sign_sub_left, Valued.integer.coe_span_singleton_eq_closedBall, le_analyticOrderAt_sub, Unitary.spectrum_subset_slitPlane_iff_norm_lt_two, hasSum_geom_series_inverse, HasStrictDerivAt.complexToReal_fderiv', inner_sub_left, HasFTaylorSeriesUpToOn.add, MeasureTheory.dist_convolution_le', ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, intervalIntegral.intervalIntegrable_exp, MeasureTheory.weightedSMul_union, hasSum_coe_mul_geometric_of_norm_lt_one, MDifferentiableOn.cle_arrowCongr, fderiv_add, MeasureTheory.indicatorConstLp_add, MeasureTheory.L1.setToL1_congr_left', DomAddAct.vadd_Lp_neg, MeasureTheory.Lp.simpleFunc.coeFn_le, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, MeasureTheory.Lp.instFourierPairInv, HasFPowerSeriesOnBall.uniform_geometric_approx', hasSum_choose_mul_geometric_of_norm_lt_one', InnerProductGeometry.norm_div_sin_angle_sub_of_inner_eq_zero, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, ContinuousLinearMap.IsPositive.add, HasFPowerSeriesWithinOnBall.comp_sub, Real.Angle.sign_two_zsmul_eq_neg_sign_iff, not_sameRay_iff_abs_lt_norm_sub, Filter.Tendsto.eventually_intervalIntegrable_ae, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, PadicInt.hasSum_mahlerSeries, MeromorphicAt.sub, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticWithinAt.comp_sub, MeasureTheory.Lp.simpleFunc.toLp_zero, InnerProductGeometry.angle_sub_lt_pi_div_two_of_inner_eq_zero, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_punctured, differentiableAt_iff_comp_const_sub, MDifferentiableAt.clm_precomp, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, DifferentiableWithinAt.sub_const, Differentiable.fun_sub_iff_left, MeasureTheory.Lp.coeFn_nonneg, BoundedContinuousFunction.coe_abs, HasFPowerSeriesOnBall.tendsto_partialSum, MeasureTheory.tendsto_lintegral_norm_of_dominated_convergence, MeasureTheory.nnnorm_indicatorConstLp_le, DomMulAct.dist_smul_Lp, intervalIntegral.integral_Iic_sub_Iic, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, Complex.arg_div_coe_angle, MeasureTheory.Lp.instFourierInvAdd, HasFPowerSeriesWithinAt.prod, MeasureTheory.L1.setToL1_congr_left, MeasureTheory.lpNorm_le_lpNorm_add_lpNorm_sub, mdifferentiableOn_continuousLinearMapCoordChange, MeasureTheory.L1.setToL1_smul, IntervalIntegrable.comp_mul_left_iff, hasFPowerSeriesAt_pi_iff, MeasureTheory.Lp.coeFn_lpSMul, MeasureTheory.SimpleFunc.integral_sub, ContDiffBump.apply, MeasureTheory.Lp.simpleFunc.coeFn_zero, Convex.isLittleO_pow_succ_real, intervalIntegral.intervalIntegrable_const, HasFDerivAtFilter.add, HasFDerivAt.lim_real, AnalyticAt.comp_sub, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, DiffContOnCl.const_sub, deriv_sub_const, ProperCone.relative_hyperplane_separation, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, InnerProductGeometry.norm_sub_eq_add_norm_of_angle_eq_pi, MeasureTheory.condExpIndSMul_nonneg, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, coe_addEquiv_lpBCF_symm, FormalMultilinearSeries.zero_radius, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, MeasureTheory.L1.dist_def, Polynomial.isBoundedUnder_abs_atBot_iff, ContinuousLinearMap.coeFn_compLpL, Orientation.norm_div_sin_oangle_sub_left_of_oangle_eq_pi_div_two, StrongDual.norm_toLpₗ_le, Orientation.oangle_sub_left_smul_rotation_pi_div_two, HasFPowerSeriesWithinAt.restrictScalars, HasCompactSupport.contDiff_convolution_left, InnerProductGeometry.angle_sub_pos_of_inner_eq_zero, MeasureTheory.Lp.coe_mk, Real.Angle.two_zsmul_toReal_eq_two_mul_add_two_pi, MeasureTheory.Lp.instIsCentralScalar, TestFunction.coe_sub, HasDerivWithinAt.fun_sub, hasFPowerSeriesOnBall_inv_one_sub, ContinuousLinearMap.instNonnegSpectrumClassRealId, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left', FormalMultilinearSeries.analyticOnNhd, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, MeasureTheory.L1.norm_integral_le, hasFPowerSeriesOnBall_inverse_one_sub, hasDerivAtFilter_iff_tendsto, ContDiffMapSupportedIn.coe_sub, MeasureTheory.setIntegral_indicatorConstLp, HasFDerivAt.fun_sum, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasDerivAt.tendsto_slope, ProbabilityTheory.Kernel.continuous_integral_integral_comp, intervalIntegrable_posLog_norm_meromorphicOn, taylor_isLittleO, BoxIntegral.hasIntegral_const, iteratedFDeriv_comp_sub', ContinuousMap.toLp_injective, DifferentiableOn.sub_iff_right, StrongDual.toLpₗ_of_not_memLp, MeasureTheory.indicatorConstLp_sub, MeasureTheory.Submartingale.sum_smul_sub', Differentiable.sub_iff_left, Orientation.tan_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, DomAddAct.edist_vadd_Lp, hasFDerivAt_comp_sub, DifferentiableWithinAt.fun_sub, MeasureTheory.L1.aemeasurable_coeFn, EuclideanGeometry.Sphere.oangle_eq_pi_sub_two_zsmul_oangle_center_right, hasFPowerSeriesWithinAt_pi_iff, Orientation.oangle_sign_sub_right_swap, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, hasDerivAt_iff_isLittleO_nhds_zero, PadicInt.hasSum_mahler, HasMFDerivAt.sub, ProbabilityTheory.Kernel.integral_fn_integral_sub_comp, norm_abs_eq_norm, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, geom_series_mul_one_add, lipschitzWith_negPart, Complex.betaIntegral_convergent, Meromorphic.fun_sub, MeasureTheory.condExpIndL1Fin_disjoint_union, MeasureTheory.Lp.instIsBoundedSMul, ContinuousMap.coe_toLp, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, DifferentiableAt.const_sub, DomMulAct.instIsIsometricSMulSubtypeAEEqFunMemAddSubgroupLp, HasMFDerivWithinAt.add, Orientation.two_zsmul_oangle_neg_self_left, MeasureTheory.Lp.antitone, ContinuousLinearMap.integral_comp_L1_comm, curveIntegralFun_add, Orientation.oangle_eq_pi_sub_two_zsmul_oangle_sub_of_norm_eq, span_fourierLp_closure_eq_top, HasFDerivWithinAt.sub, MeasureTheory.withDensityᵥ_add, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, MeasureTheory.L1.measurable_coeFn, spectrum.differentiableOn_inverse_one_sub_smul, MeasureTheory.aestronglyMeasurable_condExpL1CLM, HasFPowerSeriesAt.const_smul, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, iteratedFDeriv_succ_eq_comp_right, ContinuousMultilinearMap.changeOriginSeries_support, SchwartzMap.inner_fourierTransformCLM_toL2_eq, curveIntegralFun_sub, ContDiffMapSupportedIn.seminorm_apply, AnalyticAt.analyticOrderAt_comp, MeasureTheory.continuous_integral, ProbabilityTheory.iIndepFun.hasGaussianLaw_sub, HasFDerivAt.isBigO_sub, ContinuousMultilinearMap.hasFDerivAt, MeasureTheory.Lp.simpleFunc.isBoundedSMul, DifferentiableAt.sub, deriv_clm_comp, Convex.norm_image_sub_le_of_norm_deriv_le, MeasureTheory.Lp.coe_posPart, DifferentiableOn.fun_sub_iff_left, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, continuous_negPart, MeasureTheory.integrable_condExpL2_indicator, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, MeasureTheory.Lp.zero_smul, Submodule.sub_mem_orthogonal_of_inner_right, HasFiniteFPowerSeriesOnBall.eq_partialSum', EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, fderivWithin_fun_add, Complex.wedgeIntegral_add_wedgeIntegral_eq, HasFDerivWithinAt.curveIntegral_segment_source, HasFPowerSeriesOnBall.pi, MeasureTheory.weightedSMul_union', ContinuousMultilinearMap.piₗᵢ_symm_apply, ZLattice.summable_norm_sub_rpow, AnalyticAt.analyticOrderAt_ne_top, intervalIntegrable_log_cos, signedDist_vadd_right_swap, Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable, DomMulAct.smul_Lp_zero, Asymptotics.IsEquivalent.sub_isLittleO, DomAddAct.mk_vadd_toLp, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, coe_addEquiv_lpBCF, intervalIntegrable_const, hasLineDerivAt_iff_tendsto_slope_zero, MeasureTheory.lpMeasSubgroupToLpTrim_norm_map, MDifferentiable.sub, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', ProbabilityTheory.strong_law_Lp, fderiv_continuousMultilinearMapCompContinuousLinearMap, InnerProductSpace.Core.inner_sub_left, Orientation.tan_oangle_sub_right_of_oangle_eq_pi_div_two, MeasureTheory.Lp.simpleFunc.toLp_sub, MeromorphicAt.meromorphicAt_sub_iff_meromorphicAt₁, MeasureTheory.Lp.simpleFunc.coe_smul, LinearIsometryEquiv.symm_conjStarAlgEquiv, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Submodule.topologicalClosure_eq_top_iff, HasFiniteFPowerSeriesOnBall.add, MeasureTheory.Lp.smul_def, iteratedDeriv_comp_const_sub, DifferentiableAt.sub_iff_right, HasFDerivAt.fun_add, MeasureTheory.Lp.norm_exponent_zero, hasFDerivWithinAt_comp_add_right, MeasureTheory.Lp.smul_neg, Unitary.two_mul_one_sub_le_norm_sub_one_sq, ValueDistribution.abs_characteristic_sub_characteristic_shift_eqO, MeasureTheory.L1.stronglyMeasurable_coeFn, HasFPowerSeriesAt.eventually_hasSum_of_comp, IsMprojection.Mnorm, HasDerivAtFilter.fun_sub, ContinuousMap.coeFn_toLp, MeasureTheory.L1.norm_setToL1_le_mul_norm', Real.Angle.zsmul_eq_iff, intervalIntegral.intervalIntegrable_deriv_of_nonneg, Real.fourier_bilin_convolution_eq_integral, Orientation.cos_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, ProbabilityTheory.condVar_of_sigmaFinite, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.sqrt_I, HasFPowerSeriesAt.sub, MeasureTheory.Lp.instSMulCommClass, OrthogonalFamily.range_linearIsometry, HasStrictFDerivAt.sum, MeasureTheory.Lp.simpleFunc.toLp_neg, sameRay_iff_norm_sub, ContinuousOn.integral_sub_linear_isLittleO_ae, MeasureTheory.L1.SimpleFunc.integral_smul, Function.HasTemperateGrowth.sub, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, MeasureTheory.lpTrimToLpMeas_ae_eq, norm_inf_sub_inf_le_norm, DomAddAct.vadd_Lp_const, ContinuousMultilinearMap.curryMid_apply, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, ClosedSubmodule.sInf_orthogonal, ContinuousMap.toLp_comp_toContinuousMap, Complex.integrable_pow_mul_norm_one_add_mul_inv, ContMDiff.clm_postcomp, Polynomial.isBoundedUnder_abs_atTop_iff, Submodule.HasOrthogonalProjection.exists_orthogonal, MeasureTheory.Lp.smul_comm, SchwartzMap.continuous_toLp, extDeriv_fun_add, hasFDerivAt_sub_const, InnerProductGeometry.norm_sub_eq_abs_sub_norm_iff_angle_eq_zero, MeasureTheory.isComplete_aestronglyMeasurable, IntervalIntegrable.intervalIntegrable_norm_iff, MeasureTheory.Lp.simpleFunc.isUniformEmbedding, signedDist_vadd_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, DiffContOnCl.sub, MDifferentiableWithinAt.clm_postcomp, derivWithin_sub_const_fun, MeasureTheory.L1.integral_of_fun_eq_integral, MeasureTheory.L1.integral_zero, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, HasDerivWithinAt.const_sub, ContDiffBump.convolution_eq_right, ExistsContDiffBumpBase.w_def, HasFPowerSeriesAt.tendsto_partialSum, HasFiniteFPowerSeriesAt.add, SchwartzMap.toLp_fourierTransform_eq, MeasureTheory.setLIntegral_nnnorm_condExpIndSMul_le, HasFPowerSeriesAt.eventually_hasSum_sub, ProbabilityTheory.covarianceBilin_apply, BoxIntegral.integralSum_sub_partitions, MeasureTheory.continuous_indicatorConstLp_set, HasFDerivAt.linear_multilinear_comp, MeasureTheory.AEEqFun.Integrable.neg, MeasureTheory.condExpIndL1_of_not_measurableSet, iteratedFDerivWithin_comp_add_left', MeasureTheory.Lp.smul_add, MeasureTheory.L1.norm_setToL1_le', MeasureTheory.withDensitySMulLI_apply, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto, PhragmenLindelof.isBigO_sub_exp_rpow, EuclideanGeometry.hasFDerivAt_inversion, MeasureTheory.convolutionExistsAt_iff_integrable_swap, MeasureTheory.Lp.fourierInv_toTemperedDistribution_eq, deriv_div, PadicInt.norm_sub_modPart, hasFDerivAt_tsum, UnitAddTorus.hasSum_prod_mFourierCoeff, MeasureTheory.integral_integral_sub, inner_sub_right, LeftInvariantDerivation.map_sub, HasStrictDerivAt.fun_sub, DomMulAct.smul_Lp_ae_eq, riesz_lemma_of_norm_lt, MeromorphicOn.extract_zeros_poles, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, MeasureTheory.Lp.simpleFunc.isUniformInducing, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, MeasureTheory.L1.norm_of_fun_eq_integral_norm, HasFPowerSeriesOnBall.prod, Orientation.two_zsmul_oangle_smul_right_self, ODE.FunSpace.intervalIntegrable_comp_compProj, HasFDerivAt.curveIntegral_segment_source', HasFPowerSeriesWithinOnBall.neg, MeasureTheory.L1.integral_add, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, intervalIntegral.integral_deriv_eq_sub', MeasureTheory.aestronglyMeasurable_condExpIndSMul, PointwiseConvergenceCLM.tendsto_nhds_atTop, hasFPowerSeriesWithinOnBall_pi_iff, MeasureTheory.Lp.constL_apply, MeasureTheory.L2.mem_L1_inner, HasStrictFDerivAt.implicitToPartialHomeomorphOfComplemented_apply, HasFPowerSeriesOnBall.eventually_hasSum_sub, MeasureTheory.L1.integral_eq_integral, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp, MeasureTheory.martingalePart_eq_sum, MeasureTheory.setToFun_sub, ContDiffBump.dist_normed_convolution_le, MDifferentiableOn.clm_precomp, HasFDerivWithinAt.fun_sum, MeasureTheory.Integrable.coeFn_toL1, MeasureTheory.Lp.simpleFunc.coe_indicatorConst, hasFTaylorSeriesUpToOn_succ_iff_left, HasCompactSupport.hasDerivAt_convolution_left, VectorFourier.integral_bilin_fourierIntegral_eq_flip, Unitary.norm_sub_eq, MeasureTheory.condExpIndL1_disjoint_union, hasStrictFDerivAt_sub_const_iff, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, EuclideanGeometry.Sphere.two_zsmul_oangle_eq, MeasureTheory.Lp.inner_fourier_eq, MeasureTheory.Integrable.norm_toL1_eq_lintegral_norm, AffineMap.hasStrictDerivAt, EuclideanGeometry.Sphere.two_zsmul_oangle_center_add_two_zsmul_oangle_eq_pi, Orientation.norm_div_tan_oangle_sub_left_of_oangle_eq_pi_div_two, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, ZLattice.isAddFundamentalDomain, ContinuousLinearMap.adjointAux_inner_right, MeasureTheory.L1.aestronglyMeasurable_coeFn, nnnorm_commutator_sub_one_le, fderivWithin_sub, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.condExpInd_smul', MeasureTheory.L1.setToL1_add_left, MeasureTheory.Submartingale.sum_smul_sub, ContDiffMapSupportedIn.structureMapLM_zero_injective, sub_mem_posTangentConeAt_of_segment_subset, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, MeasureTheory.Lp.eLpNorm_lt_top, HasFDerivAt.const_sub, IntervalIntegrable.iff_comp_neg, MeasureTheory.L2.integrable_inner, BoundedContinuousFunction.toLp_norm_le, intervalIntegral.intervalIntegrable_pow, Pretrivialization.continuousOn_continuousLinearMapCoordChange, MeasureTheory.Lp.continuous_negPart, HasStrictFDerivAt.fun_smul, MeasureTheory.Lp.coeFn_negPart, MeromorphicOn.fun_sub, MeasureTheory.withDensityᵥ_sub', curveIntegral_fun_sub, MeromorphicOn.intervalIntegrable_log, Orientation.two_zsmul_oangle_neg_right, Units.val_oneSub, EuclideanGeometry.reflection_apply', MeasureTheory.condExp_of_sigmaFinite, MeasureTheory.integral_sub_average, Real.Angle.cos_pi_div_two_sub, MeasureTheory.norm_setToFun_le_mul_norm, ContinuousLinearMap.hasFDerivAt_of_bilinear, MeasureTheory.MemLp.exists_boundedContinuous_eLpNorm_sub_le, Polynomial.abs_tendsto_atBot, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, FormalMultilinearSeries.min_radius_le_radius_add, Orientation.two_zsmul_oangle_sub_eq_two_zsmul_oangle_sub_of_norm_eq, MeasureTheory.L1.SimpleFunc.norm_eq_integral, MeasureTheory.condExpIndL1_of_measure_eq_top, ContinuousLinearMap.closed_range_of_antilipschitz, VonNeumannAlgebra.coe_toStarSubalgebra, circleIntegrable_def, ContinuousAlternatingMap.curryLeft_add, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, HasFDerivWithinAt.smul, extDeriv_apply_vectorField_of_pairwise_commute, MeasureTheory.L1.SimpleFunc.norm_integral_le_norm, Submodule.mem_adjoint_iff, NormedRing.inverse_add_norm_diff_first_order, MeasureTheory.lintegral_fn_integral_sub, MeasureTheory.Lp.simpleFunc.toLp_smul, PadicInt.norm_sub_zmodRepr_lt_one, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, EuclideanGeometry.Sphere.oangle_center_eq_two_zsmul_oangle, Function.FactorizedRational.extractFactor, MeasureTheory.L1.norm_setToL1_le_mul_norm, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, Filter.Tendsto.integral_sub_linear_isLittleO_ae, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivAt_sub_const_iff, MeasureTheory.MemLp.coeFn_toLp, HasDerivAt.div, HasDerivAt.continuousAt_div, Irreducible.maximalIdeal_eq_closedBall, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left', InnerProductGeometry.angle_sub_eq_arcsin_of_inner_eq_zero, BoxIntegral.integral_const, MeasureTheory.Lp.neg_smul, FormalMultilinearSeries.derivSeries_eq_zero, HasDerivAtFilter.isEquivalent_sub, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, ZLattice.summable_norm_sub_zpow, AffineMap.differentiableOn, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, MeasureTheory.Lp.instOrderClosedTopologySubtypeAEEqFunMemAddSubgroupOfClosedIciTopology, HasFPowerSeriesWithinAt.neg, selfAdjoint.val_re_map_spectrum, derivWithin_comp_add_const, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_sub, fderiv_clm_apply, ContinuousAlternatingMap.curryLeftLI_apply, eventuallyConst_iff_analyticOrderAt_sub_eq_top, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, exists_norm_eq_iInf_of_complete_convex, DifferentiableWithinAt.isBigO_sub, MeasureTheory.norm_condExpInd_le, WeakFEPair.hasMellin, MeasureTheory.setToFun_mono_left, MeasureTheory.MemLp.toLp_add, not_intervalIntegrable_of_sub_inv_isBigO_punctured, HasFPowerSeriesWithinAt.unshift, hasFDerivAtFilter_iff_tendsto, riesz_lemma_of_lt_one, InnerProductGeometry.norm_sub_eq_abs_sub_norm_of_angle_eq_zero, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, HasDerivAt.tendsto_slope_zero, Polynomial.abs_isBoundedUnder_iff, StrongDual.toLp_apply, MeasureTheory.Lp.coeFn_zero, MeasureTheory.mem_lpMeas_self, MeasureTheory.setIntegral_setAverage_sub, MeasureTheory.norm_Lp_toLp_restrict_le, MeasureTheory.Lp.coe_LpSubmodule, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, hasSum_sq_fourierCoeff, ContinuousLinearMap.holder_add_right, MeasureTheory.Lp.enorm_def, MeasureTheory.condExpInd_disjoint_union_apply, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, norm_sub_le_mul_volume_of_norm_fderiv_le, MeasureTheory.LocallyIntegrableOn.sub, FormalMultilinearSeries.changeOrigin_eval, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, iter_deriv_inv_linear_sub, ContinuousLinearMap.add_compLpL, MeasureTheory.L1.setToL1_simpleFunc_indicatorConst, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left, UnitAddTorus.mFourierBasis_repr, MeasureTheory.condExpIndL1Fin_ae_eq_condExpIndSMul, HasStrictFDerivAt.isTheta_sub, HasFPowerSeriesAt.prod, MeasureTheory.Lp.norm_measure_zero, Submodule.starProjection_minimal, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, MeasureTheory.tendsto_indicatorConstLp_set, LipschitzWith.coeFn_compLp, OrthonormalBasis.sum_rankOne_eq_id, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, fourierBasis_repr, MeasureTheory.Martingale.sub, HasFPowerSeriesWithinAt.add, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le', norm_sup_sub_sup_le_add_norm, MeasureTheory.L1.setToL1_zero_left', MeasureTheory.BoundedContinuousFunction.inner_toLp, Real.tendsto_integral_gaussian_smul, MeasureTheory.condExpL1_mono, MeasureTheory.submartingale_iff_condExp_sub_nonneg, MeasureTheory.Lp.coeFn_neg, Besicovitch.SatelliteConfig.exists_normalized_aux1, MeasureTheory.L1.norm_Integral_le_one, Orientation.oangle_sub_left_eq_arctan_of_oangle_eq_pi_div_two, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, MeasureTheory.Lp.toLp_compMeasurePreserving, MeasureTheory.Lp.coeFn_abs, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, Real.Angle.coe_zsmul, MeasureTheory.Lp.norm_eq_zero_iff, EuclideanGeometry.angle_const_sub, BoundedContinuousFunction.coe_negPart, Orientation.sin_oangle_sub_right_of_oangle_eq_pi_div_two, HasFDerivWithinAt.fun_add, FormalMultilinearSeries.radius_prod_eq_min, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, Orientation.two_zsmul_oangle_left_of_span_eq, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_div, Orientation.two_zsmul_oangle_smul_left_self, Monotone.intervalIntegrable, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, ContinuousMultilinearMap.currySum_apply, MeasureTheory.Integrable.sub', tendsto_sum_mul_atTop_nhds_one_sub_integral, MeasureTheory.Lp.coeFn_sub, MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto, intervalIntegral.intervalIntegrable_cpow', geom_series_mul_neg, continuousMultilinearCurryRightEquiv_apply', MeasureTheory.Lp.meas_ge_le_mul_pow_enorm, UnitAddTorus.hasSum_sq_mFourierCoeff, norm_image_sub_le_of_norm_deriv_le_segment_01', Orientation.abs_oangle_sub_left_toReal_lt_pi_div_two, differentiableWithinAt_const_sub_iff, Differentiable.sub_const, intervalIntegral.intervalIntegrable_rpow', ContinuousAlternatingMap.alternatizeUncurryFin_add, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, DomMulAct.nnnorm_smul_Lp, FormalMultilinearSeries.leftInv_removeZero, ZetaAsymptotics.term_welldef, ContDiffAt.sub, Submodule.orthogonalProjectionFn_norm_sq, ContinuousLinearMap.extendTo𝕜'_apply, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, EuclideanGeometry.dist_smul_vadd_eq_dist, riesz_lemma, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, MeasureTheory.lintegral_nnnorm_condExpIndSMul_le, LipschitzWith.continuous_compLp, InnerProductGeometry.angle_sub_eq_arctan_of_inner_eq_zero, WeakFEPair.f_modif_aux1, MeasureTheory.Lp.smul_assoc, ContDiffMapSupportedIn.continuous_iff_comp, Differentiable.fun_sub, intervalIntegrable_log_norm_meromorphicOn, analyticAt_inverse_one_sub, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, MeasureTheory.integrable_condExpIndSMul, MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto', unitary.norm_sub_one_lt_two_iff, HasFPowerSeriesOnBall.hasSum_sub, fderivWithin_continuousAlternatingMap_apply, HasFPowerSeriesAt.eq_zero_of_eventually, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_sub, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_sub, deriv_descPochhammer_eval_eq_sum_prod_range_erase, LipschitzWith.compLp_zero, analyticAt_inv_one_sub, ContinuousOn.intervalIntegrable, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, MeasureTheory.tendsto_Lp_finite_of_tendstoInMeasure, SchwartzMap.fourier_convolution_apply, MeasureTheory.condExpL1_zero, MeasureTheory.Lp.compMeasurePreserving_continuous, RCLike.instNormSMulClassInt, ExistsContDiffBumpBase.w_integral, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq', Collinear.two_zsmul_oangle_eq_left, MeasureTheory.Lp.coeFn_posPart, MDifferentiable.clm_precomp, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, EuclideanGeometry.Cospherical.two_zsmul_oangle_eq, MeasureTheory.L1.SimpleFunc.setToL1S_add, FormalMultilinearSeries.le_radius_pi, continuousMultilinearCurryLeftEquiv_symm_apply, dist_right_lineMap, fderivWithin_add, taylor_mean_remainder_bound, MeasureTheory.L1.norm_sub_eq_lintegral, Complex.betaIntegral_convergent_left, MeasureTheory.norm_indicatorConstLp', DifferentiableAt.fun_sub_iff_left, HasStrictFDerivAt.fun_add, MeasureTheory.Lp.neg_smul_neg, HasFDerivAtFilter.isBigO_sub, iteratedFDeriv_succ_eq_comp_left, MeasureTheory.isometry_lpMeasSubgroupToLpTrim, MeasureTheory.integrable_condExpL1, ContinuousLinearMap.smul_compLpL, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_sub_two_mul_norm_mul_norm_mul_cos_angle, Convex.norm_image_sub_le_of_norm_fderiv_le', MeasureTheory.Integrable.toL1_add, ClosedSubmodule.orthogonal_closure, ContinuousLinearMap.norm_compLpL_le, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, ZSpan.vadd_mem_fundamentalDomain, DomMulAct.smul_Lp_const, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left, hasGradientWithinAt_iff_tendsto, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, sum_mul_eq_sub_integral_mul, MeromorphicAt.fun_sub, unitary.norm_sub_one_sq_eq, HasFDerivWithinAt.curveIntegral_segment_source', ContinuousMultilinearMap.piₗᵢ_apply, MeasureTheory.setIntegral_condExpL1CLM, MeasureTheory.L1.hasFiniteIntegral_coeFn, ContMDiffWithinAt.clm_precomp, ZSpan.fract_apply, NormedRing.inverse_one_sub_nth_order', fderiv_comp_sub, differentiableWithinAt_comp_add_left, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, FormalMultilinearSeries.radius_pi_le, Real.Angle.cos_sub_pi_div_two, tsum_sq_fourierCoeff, MeasureTheory.lpMeasToLpTrim_ae_eq, MeasureTheory.eLpNorm_condExpL2_le, hasDerivAt_iff_tendsto, ContDiffOn.sub, sub_smul_dslope, norm_image_sub_le_of_norm_deriv_right_le_segment, MeasureTheory.eLpNorm_sub_le_of_dist_bdd, extDerivWithin_apply, Complex.integral_boundary_rect_eq_zero_of_continuousOn_of_differentiableOn, MeasureTheory.L1.integral_eq', AnalyticAt.fun_sub, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, VectorField.lieBracketWithin_eq, PadicInt.continuousAddCharEquiv_apply, InnerProductGeometry.cos_angle_sub_mul_norm_of_inner_eq_zero, unitary.norm_argSelfAdjoint_le_pi, Complex.IsConservativeOn.eventually_nhds_wedgeIntegral_sub_wedgeIntegral, Real.Angle.two_zsmul_eq_zero_iff, MeasureTheory.Lp.simpleFunc.denseRange_coeSimpleFuncNonnegToLpNonneg, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, ContMDiff.clm_precomp, VectorField.fderivWithin_apply_lieBracket, Orientation.cos_oangle_sub_left_of_oangle_eq_pi_div_two, HasFPowerSeriesWithinAt.compContinuousLinearMap, EuclideanGeometry.orthogonalProjection_apply, EuclideanGeometry.two_zsmul_oangle_eq_of_dist_orthogonalProjection_line_eq, LeftInvariantDerivation.commutator_apply, derivWithin_sub, FormalMultilinearSeries.derivSeries_apply_diag, derivWithin_comp_const_add, prod_vanishing_of_summable_norm, FormalMultilinearSeries.norm_changeOriginSeriesTerm, InnerProductGeometry.angle_sub_eq_angle_sub_rev_of_norm_eq, curveIntegral_add, DifferentiableOn.fun_sub_iff_right, Unitary.norm_argSelfAdjoint_le_pi, norm_inf_sub_inf_le_add_norm, hasGradientWithinAt_iff_isLittleO, Matrix.cstar_norm_def, MeasureTheory.convolution_eq_swap, continuous_posPart, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, HasFPowerSeriesWithinOnBall.tendsto_partialSum, RCLike.conj_eq_re_sub_im, MeasureTheory.condExp_sub, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, Chebyshev.intervalIntegrable_one_div_log_sq, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul, MeasureTheory.Lp.simpleFunc.isDenseInducing, MeasureTheory.intervalIntegrable_charFun, HasFDerivAtFilter.isEquivalent_sub, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, ContinuousLinearMap.norm_holderL_le, MeasureTheory.integral_mul_deriv_eq_deriv_mul, Complex.cderiv_sub, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, MeasureTheory.lpMeas.ae_fin_strongly_measurable', curveIntegral_sub, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, MeasureTheory.L1.setToL1'_eq_setToL1SCLM, DifferentiableAt.sub_const, HasCompactSupport.contDiff_convolution_right, iteratedDeriv_sub, MeasureTheory.condExpIndSMul_smul', MeasureTheory.condExpL1_sub, ProbabilityTheory.Kernel.lintegral_fn_integral_sub, ValueDistribution.proximity_coe, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpLpMeasSubgroupOfFactLeMeasurableSpace, Besicovitch.SatelliteConfig.exists_normalized, MeasureTheory.condExp_stronglyMeasurable_bilin_of_bound, ProbabilityTheory.instIsGaussianMapHSub_1, ContinuousAlternatingMap.hasFDerivAt, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, inner_sub_sub_self, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, iteratedFDerivWithin_comp_sub', MeasureTheory.lpTrimToLpMeasSubgroup_ae_eq, EuclideanGeometry.two_zsmul_oangle_of_vectorSpan_eq, Orientation.norm_div_cos_oangle_sub_right_of_oangle_eq_pi_div_two, Unitary.openPartialHomeomorph_apply, ContinuousLinearMap.isPositive_sum, MeasureTheory.L1.integral_sub, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, Unitary.argSelfAdjoint_coe, MeasureTheory.Lp.coeFn_inf, MeasureTheory.ContinuousMap.inner_toLp, Asymptotics.IsEquivalent.isLittleO, Orientation.oangle_eq_two_zsmul_oangle_sub_of_norm_eq_real, HasStrictDerivAt.const_sub, Memℓp.sub, ZLattice.sum_piFinset_Icc_rpow_le, FormalMultilinearSeries.rightInv_coeff, lipschitzWith_posPart, ValueDistribution.logCounting_coe, MeasureTheory.AEStronglyMeasurable.convolution_integrand', MeasureTheory.L1.SimpleFunc.integral_L1_eq_integral, tendsto_integral_comp_smul_smul_of_integrable', MeasureTheory.Lp.simpleFunc.toLp_eq_mk, sum_mul_eq_sub_integral_mul₀, DomAddAct.dist_vadd_Lp, hasFDerivWithinAt_iff_tendsto, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', Orientation.oangle_sub_right, ClosedSubmodule.orthogonal_closure', fderivWithin_comp_add_right, HasFiniteFPowerSeriesOnBall.sub, ContinuousLinearMap.holderL_apply_apply, MeasureTheory.Lp.instContinuousFourier, differentiableAt_comp_sub, derivWithin_sub_const, MeasureTheory.tendsto_integral_norm_approxOn_sub, DomAddAct.vadd_Lp_zero, MeasureTheory.condExpInd_empty, MeasureTheory.condExpL1CLM_smul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, HasStrictFDerivAt.sub, LipschitzWith.norm_compLp_le, ContMDiffWithinAt.cle_arrowCongr, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, MeasureTheory.L1.edist_def, continuousMultilinearCurryRightEquiv_apply, MeasureTheory.Lp.simpleFunc.toSimpleFunc_eq_toFun, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, MeasureTheory.continuous_setIntegral, Polynomial.Chebyshev.intervalIntegrable_sqrt_one_sub_sq_inv, ContDiffMapSupportedIn.structureMapLM_zero_apply, AffineMap.deriv, MeasureTheory.MemLp.toLp_zero, ProbabilityTheory.Kernel.integral_integral_sub'_comp, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Orientation.two_zsmul_oangle_smul_smul_self, AnalyticAt.analyticOrderAt_sub_eq_one_of_deriv_ne_zero, ValueDistribution.abs_characteristic_sub_characteristic_shift_le, UnitAddTorus.span_mFourierLp_closure_eq_top, Orientation.rotation_symm_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, HasFPowerSeriesAt.compContinuousLinearMap, WeakFEPair.f_modif_aux2, Real.Angle.sin_sub_pi_div_two, fderivWithin_clm_apply, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, intervalIntegral.intervalIntegrable_one_div, differentiableAt_iff_comp_sub_const, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, Orientation.norm_div_tan_oangle_sub_right_of_oangle_eq_pi_div_two, ApproximatesLinearOn.lipschitzOnWith, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, MeasureTheory.MemLp.sub, MeasureTheory.condExpIndL1Fin_smul', ContinuousLinearMap.norm_holder_apply_apply_le, MeasureTheory.Lp.edist_dist, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div_of_integrable, MeasureTheory.AEEqFun.Integrable.add, fderivWithin_sum, BoundedContinuousFunction.range_toLp, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, hasDerivWithinAt_iff_tendsto_slope, EuclideanGeometry.oangle_sub_right, FormalMultilinearSeries.continuousOn, MeasureTheory.indicatorConstLp_disjoint_union, iteratedFDeriv_tsum_apply, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div, Orientation.oangle_sign_smul_sub_right, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_right, HasStrictFDerivAt.sub_const, torusIntegral_sub, MeasureTheory.contDiffOn_convolution_right_with_param_aux, MeasureTheory.L1.integral_eq, fderiv_continuousLinearEquiv_comp', ContDiffPointwiseHolderAt.zero_order_iff, MeasureTheory.indicatorConstLp_coeFn, norm_image_sub_le_of_norm_deriv_le_segment', VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrable, Submodule.exists_norm_eq_iInf_of_complete_subspace, HasDerivAtFilter.isTheta_sub, constFormalMultilinearSeries_zero, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, MeasureTheory.Submartingale.sub_martingale, ContDiffBump.convolution_tendsto_right_of_continuous, MeasureTheory.Lp.fourier_toTemperedDistribution_eq, ContinuousMultilinearMap.curryFinFinset_apply, MeasureTheory.Lp.const_val, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, unitary.mem_pathComponentOne_iff, nndist_self_homothety, MeasureTheory.Lp.simpleFunc.coeFn_nonneg, FormalMultilinearSeries.changeOriginSeriesTerm_bound, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp, MeasureTheory.tendstoInMeasure_iff_tendsto_Lp_finite, MeasureTheory.L1.setToL1'_apply_coeToLp, derivWithin_const_sub, SchwartzMap.denseRange_toLpCLM, SchwartzMap.toZeroAtInftyCLM_apply, SchwartzMap.toLp_fourier_eq, DomMulAct.smul_Lp_val, NormedSpace.discreteTopology_zmultiples, HasFTaylorSeriesUpToOn.restrictScalars, DomAddAct.nnnorm_vadd_Lp, MeasureTheory.L1.setToL1_const, HasFDerivWithinAt.sub_const, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, DifferentiableOn.sub_iff_left, norm_sup_sub_sup_le_norm, CurveIntegrable.add, MeasureTheory.norm_condExpIndL1Fin_le, hasFPowerSeriesAt_iff', hasFDerivAt_tsum_of_isPreconnected, fderivWithin_fun_sum, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, MeasureTheory.continuous_L1_toL1, MeasureTheory.integral_Iic_deriv_mul_eq_sub, Orientation.oangle_sub_right_eq_arctan_of_oangle_eq_pi_div_two, ProbabilityTheory.Kernel.lintegral_fn_integral_sub_comp, intervalIntegrable_log_sin, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm, differentiableAt_comp_sub_const, intervalIntegrable_inv_iff, MeasureTheory.indicatorConstLp_empty, MeasureTheory.Integrable.edist_toL1_toL1, MeasureTheory.MemLp.toLp_const_smul, Submodule.orthogonalProjection_orthogonal, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_meas, MeasureTheory.L1.setToL1_lipschitz, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, MeasureTheory.Integrable.toL1_neg, geom_series_eq_inverse, MeasureTheory.norm_condExpL2_le_one, HasCompactSupport.convolution_integrand_bound_right, MeasureTheory.setToFun_eq, MeasureTheory.condExpL2_comp_continuousLinearMap, MeasureTheory.integral_of_hasDerivAt_of_tendsto, Complex.arg_zpow_coe_angle, MeasureTheory.Lp.coeFn_star, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, ContMDiffAt.cle_arrowCongr, ContinuousLinearMap.holder_add_left, DifferentiableOn.fun_sub, hasFDerivAt_iff_isLittleO_nhds_zero, fderivWithin_comp_sub, Orientation.norm_div_cos_oangle_sub_left_of_oangle_eq_pi_div_two, ContDiffMapSupportedIn.structureMapLM_apply, fderiv_tsum_apply, RCLike.normSq_sub, nndist_homothety_self, EuclideanGeometry.reflection_apply, HasCompactSupport.convolution_integrand_bound_right_of_subset, deriv_const_sub, MeasureTheory.dist_indicatorConstLp_eq_norm, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, Filter.IsBoundedUnder.isLittleO_sub_self_inv, Real.fourier_smul_convolution_eq, exists_seq_norm_le_one_le_norm_sub', LipschitzWith.norm_compLp_sub_le, MeasureTheory.Lp.simpleFunc.toLp_add, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, intervalIntegral.intervalIntegrable_log', SpectrumRestricts.nnreal_iff_nnnorm, MeasureTheory.Lp.isometry_compMeasurePreserving, PadicInt.existsUnique_mem_range, intervalIntegral.integral_deriv_of_contDiffOn_Icc, MeasureTheory.Submartingale.condExp_sub_nonneg, ContinuousAlternatingMap.alternatizeUncurryFin_apply, MeasureTheory.IntegrableAtFilter.sub, HasFDerivAt.smul, coeFn_fourierLp, MeasureTheory.Lp.simpleFunc.dense, PadicInt.toZMod_spec, MeasureTheory.Lp.instFourierAdd, isUnit_one_sub_of_norm_lt_one, MeasureTheory.integral_convolution, RightDerivMeasurableAux.le_of_mem_A, Antitone.intervalIntegrable, ContinuousMultilinearMap.norm_curryMid, AnalyticOnNhd.sub, Submodule.starProjection_tendsto_closure_iSup, MeasureTheory.Lp.simpleFunc.zero_toSimpleFunc, LinearMap.exists_map_addHaar_eq_smul_addHaar', Orientation.two_zsmul_oangle_right_of_span_eq, MeasureTheory.norm_setToFun_le, iteratedFDerivWithin_add_apply', domain_mvt, MeasureTheory.Lp.toTemperedDistribution_smul_eq, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, MeasureTheory.Lp_toLp_restrict_smul, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_sub, iteratedDeriv_fun_sub, FormalMultilinearSeries.hasFPowerSeriesOnBall, WeakFEPair.hf_top, MeasureTheory.condExpL1_eq, DomAddAct.vadd_Lp_val, MeasureTheory.L1.SimpleFunc.coe_posPart, Orientation.abs_oangle_sub_right_toReal_lt_pi_div_two, MeasureTheory.Lp.compMeasurePreserving_val, ContinuousLinearMap.instStarOrderedRingRCLike, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, ContMDiff.cle_arrowCongr, hasStrictFDerivAt_sub_const, MeasureTheory.Lp.instContinuousSMulDomMulAct, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, MeasureTheory.Lp.norm_compMeasurePreserving, norm_image_sub_le_of_norm_deriv_le_segment_01, ExistsContDiffBumpBase.w_mul_φ_nonneg, MeasureTheory.Lp.nnnorm_zero, MeasureTheory.setToFun_toL1, hasFDerivWithinAt_comp_add_left, extDeriv_apply, MeromorphicAt.meromorphicOrderAt_comp, MeasureTheory.condExpL2_indicator_nonneg, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, HasCompactSupport.hasFDerivAt_convolution_left, selfAdjoint.expUnitary_coe, HasFDerivWithinAt.sum, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp_eLpNorm, HasDerivAt.tendsto_slope_zero_right, MeasureTheory.L1.integral_neg, MeasureTheory.MemLp.toLp_sub, Function.FactorizedRational.meromorphicNFOn, ContinuousLinearMap.hasDerivAt_of_bilinear, HasDerivAtFilter.const_sub, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, signedDist_vadd_vadd, iter_deriv_pow, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, MeasureTheory.Lp.simpleFunc.norm_toLp, DomMulAct.smul_Lp_add, HasFDerivAt.fun_sub, Real.circleAverage_fun_sub, MeasureTheory.tendsto_Lp_finite_of_tendsto_ae, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContDiffBump.sub, ContinuousMultilinearMap.curryMidEquiv_symm_apply, MeasureTheory.Lp.continuous_posPart, ContinuousMultilinearMap.uncurryRight_norm, MeasureTheory.Lp.norm_def, EuclideanGeometry.angle_const_vadd, Real.Angle.sin_sub_pi, ContinuousLinearMap.coeFn_compLp', InnerProductSpace.Core.inner_sub_right, TorusIntegrable.sub, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, deriv_comp_sub_const, iteratedFDeriv_add_apply', hasDerivWithinAt_sub_const_iff, MeasureTheory.MemLp.toLp_const, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, Besicovitch.SatelliteConfig.exists_normalized_aux3, MeasureTheory.Supermartingale.sub_submartingale, unitary.continuousOn_argSelfAdjoint, MeasureTheory.lpMeas.aestronglyMeasurable, unitary.spectrum_subset_slitPlane_iff_norm_lt_two, MeasureTheory.L1.SimpleFunc.setToL1S_smul, HasFDerivAtFilter.sub_const, MeasureTheory.MemLp.abs, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, HilbertBasis.finite_spans_dense, MeasureTheory.L1.norm_eq_integral_norm
toSeminormedAddCommGroup 📖	CompOp	6638 math, 1 bridge math: AnalyticWithinAt.const_smul, ContinuousMap.dense_setOf_contDiff, contDiffAt_snd, MeasureTheory.HasFiniteIntegral.of_subsingleton, SchwartzMap.norm_toLp_le_seminorm, Matrix.l2_opNorm_toEuclideanCLM, ContDiffMapSupportedIn.coe_toBoundedContinuousFunction, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, TestFunctionClass.instContinuousMapClass, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_add, ValueDistribution.logCounting_zero, instSeparatingDual, MeasureTheory.Lp.instHasSolidNorm, TangentBundle.continuousLinearMapAt_model_space, ContinuousLinearEquiv.antilipschitz, MeasureTheory.Measure.integral_comp_inv_smul, TangentBundle.tangentMap_tangentBundle_pure, VectorBundleCore.toFiberBundleCore_coordChange, iteratedDeriv_scomp_two, MeromorphicOn.deriv, TensorProduct.mapInclIsometry_apply, MeasureTheory.integrable_prodLp_iff, ContinuousLinearMap.rayleigh_smul, contMDiff_prod_assoc, MeasureTheory.integrable_indicatorConstLp, Affine.Simplex.isTangentAt_insphere_iff_eq_touchpoint, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, ContinuousMap.toLp_inj, WeakFEPair.differentiableAt_Λ, ProbabilityTheory.variance_eq_integral, TemperedDistribution.lineDerivOpCLM_eq, MemHolder.nsmul, closure_diff_intrinsicFrontier, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Submodule.starProjection_apply_eq_isComplProjection, WithLp.prod_inner_apply, Orientation.oangle_sign_smul_add_right, DiffContOnCl.smul, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, MeasureTheory.convolution_flip, Trivialization.pullback_linear, MeasureTheory.setIntegral_tilted, Metric.isPreconnected_ball, hasFPowerSeriesWithinAt_iff_exists_hasFPowerSeriesAt, FormalMultilinearSeries.comp_rightInv_aux1, MeasureTheory.LpToLpRestrictCLM_coeFn, ContinuousLinearMap.hasFPowerSeriesOnBall, tendsto_zero_iff_meromorphicOrderAt_pos, UpperHalfPlane.mdifferentiable_num, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, TemperedDistribution.fourierInv_toTemperedDistributionCLM_eq, hasSum_mellin_pi_mul_sq', OpenPartialHomeomorph.map_extend_nhdsWithin_eq_image, hasStrictFDerivAt_const_add_iff, ModularForm.mul_slash_SL2, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, MeasureTheory.eLpNorm'_norm, hasStrictFDerivAt_apply, differentiableWithinAt_finCons', MeasureTheory.eLpNormEssSup_const_smul_le, inner_lt_one_iff_real_of_norm_eq_one, differentiableAt_comp_const_add, fderiv_snd, ModelWithCorners.continuous_invFun, LinearIsometryEquiv.hasStrictFDerivAt, MeasureTheory.mulEquivHaarChar_smul_integral_map, Bundle.Trivial.continuousLinearEquivAt_trivialization, EuclideanGeometry.dist_smul_vadd_sq, SchwartzMap.lineDerivOpCLM_eq, Prod.instLieGroup, deriv_sub_const_fun, real_inner_div_norm_mul_norm_eq_neg_one_iff, TensorProduct.enorm_lid, ConformalAt.differentiableAt, AnalyticOn.continuousOn, Orientation.oangle_ne_zero_and_ne_pi_iff_linearIndependent, differentiableAt_comp_neg, Polynomial.mahlerMeasure_def_of_ne_zero, Orientation.oangle_add, EulerSine.integral_cos_mul_cos_pow, MeasureTheory.condExpInd_of_measurable, MeromorphicAt.fun_iterated_deriv, hasDerivWithinAt_Iio_iff_Iic, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm', TensorProduct.inner_tmul, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Bundle.ContMDiffRiemannianMetric.contMDiff, Bundle.mdifferentiableAt_proj, continuousOn_stereoToFun, InnerProductSpace.isPositive_rankOne_self, SeparationQuotient.liftNormedAddGroupHom_normNoninc, SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod, ModularForm.smul_slash, ProbabilityTheory.IsGaussian.memLp_id, LinearIsometryEquiv.comp_fderiv, contDiff_fst, MeasureTheory.condExpL1_smul, MonotoneOn.intervalIntegral_slope_le, LeftInvariantDerivation.lift_zero, ProbabilityTheory.condIndepFun_iff_condExp_inter_preimage_eq_mul, ProbabilityTheory.isGaussian_iff_gaussian_charFun, MeasureTheory.Lp.instIsScalarTower, DomAddAct.mk_vadd_indicatorConstLp, Complex.nnnorm_exp_I_mul_ofReal, ProperCone.innerDual_le_innerDual, Filter.EventuallyEq.derivWithin_eq_of_nhds, exists_contMDiffMap_zero_one_of_isClosed, InformationTheory.integral_llr_add_mul_log_nonneg, OrthonormalBasis.orthogonalProjection_eq_sum, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, ProbabilityTheory.IdentDistrib.memLp_iff, MeasureTheory.aestronglyMeasurable_condExpInd, MeasureTheory.eLpNorm_condExp_le, ContMDiffMul.prod, MeasureTheory.LipschitzWith.integrable_comp_iff_of_antilipschitz, Real.Angle.toReal_add_of_sign_eq_neg_sign, MeasureTheory.mem_lpMeasSubgroup_iff_aestronglyMeasurable, MeasureTheory.Martingale.smul, HasFPowerSeriesWithinAt.comp_sub, Orientation.oangle_add_swap, ContinuousLinearEquiv.differentiable, hasDerivWithinAt_add_const_iff, contMDiffAt_extend, ContinuousLinearMap.integral_compLp, FormalMultilinearSeries.comp_partialSum, mellin_eq_fourier, CuspFormClass.holo, SchwartzMap.instLineDerivLeftSMulReal, LinearMap.adjoint_adjoint, HasFTaylorSeriesUpTo.differentiable, CStarRing.norm_unitary_smul, AnalyticOnNhd.smul, Affine.Simplex.orthogonalProjectionSpan_map, taylorWithin_succ, TensorProduct.ext_iff_inner_left, MeasureTheory.Measure.addHaar_image_continuousLinearMap, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, ContDiffMapSupportedIn.coe_add, MeasureTheory.IntegrableOn.of_subsingleton, differentiableOn_star_iff, InnerProductSpace.toLinearIsometry_toDual, integral_cos, MeasureTheory.norm_indicatorConstLp_le, SchwartzMap.integral_sesq_fourier_fourier, PowerSeries.IsRestricted.smul, ProbabilityTheory.condDistrib_ae_eq_condExp, NormedAddGroupHom.completion_def, MeasureTheory.charFun_eq_fourierIntegral', PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, InnerProductSpace.span_gramSchmidtNormed, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, LinearIsometryEquiv.analyticOnNhd, QuadraticMap.lineDeriv, hasStrictDerivAt_intCast, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, LeftInvariantDerivation.leibniz, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, MeasureTheory.convolution_eq_right', hasFDerivAt_iff_hasGradientAt, Function.hasTemperateGrowth_inner_right, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, Isometry.preimage_perpBisector, MeasureTheory.Measure.addHaar_sphere, MeasureTheory.eLpNormEssSup_const_smul, smooth_barycentric_coord, PiLp.contDiff_toLp, contMDiffWithinAt_iff_target, ContinuousMultilinearMap.cpolynomialOn, MeasureTheory.hausdorffMeasure_segment, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, IsHilbertSum.surjective_isometry, ValueDistribution.proximity_zero, curveIntegral_smul, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_face, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric, Submodule.reflection_trans_reflection, FDerivMeasurableAux.isOpen_A, Real.fourierCoeff_tsum_comp_add, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_1, UnitAddTorus.coe_mFourierBasis, ModelWithCorners.range_prod, Orientation.inner_rotation_pi_div_two_right_smul, ModularFormClass.hasFPowerSeries_cuspFunction, tendsto_tsum_div_pow_atTop_integral, extDeriv_constOfIsEmpty, inner_vsub_right_eq_zero_symm, Bundle.contMDiffOn_zeroSection, Orientation.oangle_add_left_smul_rotation_pi_div_two, Bundle.Trivial.symmL_trivialization, Real.fourierIntegral_comp_linearIsometry, iteratedDeriv_fun_sum, Submodule.orthogonalDecomposition_symm_apply, Affine.Simplex.sSameSide_excenter_singleton_point, MeasureTheory.integral_smul_nnreal_measure, ModularFormClass.qExpansionFormalMultilinearSeries_radius, VectorBundleCore.toFiberBundleCore_indexAt, ExistsContDiffBumpBase.u_support, LinearIsometry.nnnorm_toContinuousLinearMap, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, MeasureTheory.Measure.isUnifLocDoublingMeasureOfIsAddHaarMeasure, Submodule.IsOrtho.starProjection_comp_starProjection, ContDiffBump.normed_sub, ContMDiffMap.coeFnAlgHom_apply, Affine.Simplex.neg_mul_lt_inner_vsub_altitudeFoot, Complex.circleTransformDeriv_eq, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, ContinuousAffineMap.fderiv, iteratedDeriv_fun_add, DiffContOnCl.add_const, MeasureTheory.unifTight_iff_real, ContinuousLinearMap.continuous_det, HasFiniteFPowerSeriesAt.neg, IsometryEquiv.toRealLinearIsometryEquiv_symm_apply, SmoothBumpFunction.support_eq_symm_image, isSeparable_range_derivWithin, Complex.kahler, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, ClosedSubmodule.toSubmodule_orthogonal_eq, fderivWithin_comp_add_left, MeasureTheory.Measure.integral_comp_mul_right, ContinuousLinearMap.sSup_unit_ball_eq_norm, SchwartzMap.inner_fourier_toL2_eq, ProbabilityTheory.IdentDistrib.integrable_iff, Complex.areaForm, Function.locallyFinsuppWithin.toClosedBall_support_subset_closedBall, SchwartzMap.toLp_fourierTransformInv_eq, intervalIntegral.inv_smul_integral_comp_div_add, MeromorphicOn.divisor_fun_smul, MeasureTheory.L2.inner_indicatorConstLp_eq_inner_setIntegral, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, PeriodPair.coeff_weierstrassPExceptSeries, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_midpoint_eq_center, ProbabilityTheory.analyticOn_mgf, ContinuousLinearMap.analyticWithinAt, ContinuousAffineMap.differentiableWithinAt, ContDiffWithinAt.contMDiffWithinAt, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, Real.fourierIntegralInv_eq', AffineMap.hasDerivAtFilter, MeasureTheory.eLpNorm'_const', MeasureTheory.lintegral_comp_eq_lintegral_meas_le_mul_of_measurable_of_sigmaFinite, Monotone.locallyIntegrable, MDifferentiableAt.mfderiv_prod, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, SlashInvariantForm.slash_action_eq', LinearMap.IsPositive.ne_zero_iff, SchwartzMap.add_apply, hasFDerivAtFilter_pi, ModularForm.mul_slash, OpenPartialHomeomorph.contDiff_unitBallBall_symm, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, ProbabilityTheory.condIndep_iff, Complex.meromorphic_digamma, integral_sin_mul_cos₂, curveIntegrable_segment, contDiffOn_piLp', ContDiffOn.smul_const, Affine.Simplex.finiteDimensional_direction_altitude, Real.Angle.sin_add_pi_div_two, OpenPartialHomeomorph.map_extend_nhds_of_boundaryless, LinearMap.isPositive_adjoint_comp_self, Manifold.IsImmersionAt.map_target_subset_target, BoundedContinuousFunction.algebraMap_apply, Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, OrthonormalBasis.repr_injective, iteratedDeriv_succ, AffineSubspace.mem_perpBisector_iff_inner_eq_zero', mdifferentiableWithinAt_totalSpace, hasFTaylorSeriesUpToOn_top_iff_right, MeasureTheory.charFunDual_apply, contMDiffWithinAt_vectorSpace_iff_contDiffWithinAt, ContinuousLinearMap.IsPositive.inner_left_eq_inner_right, PeriodPair.iteratedDeriv_weierstrassPExcept_self, MeasureTheory.Lp.const_smul_mem_Lp, Real.Angle.cos_add, smoothSheafCommRing.nonunits_stalk, Affine.Simplex.circumcenter_map, ContMDiffOn.prodMk, HasFPowerSeriesWithinOnBall.hasSum_sub, Complex.GammaIntegral_eq_mellin, MeasureTheory.isTightMeasureSet_of_tendsto_measure_norm_gt, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, deriv_mem_iff, ProbabilityTheory.hasGaussianLaw_iff_charFunDual_map_eq, ContDiff.iteratedFDeriv_right, norm_add_eq_iff_real, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, HasSolidNorm.continuousInf, MeasureTheory.norm_condExpL2_le, contDiffAt_norm_smul_iff, analyticWithinAt_snd, ProbabilityTheory.IsGaussian.integrable_dual, ContinuousLinearEquiv.contDiff_comp_iff, OrthonormalBasis.nnnorm_eq_one, SchwartzMap.pairing_apply_apply, intervalIntegral.mul_integral_comp_mul_sub, contDiff_prodAssoc_symm, Submodule.instStrictConvexSpace, MeasureTheory.Lp.instIsOrderedAddMonoid, Metric.contractibleSpace_ball, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, MeasureTheory.weightedSMul_apply, ContinuousMultilinearMap.norm_map_snoc_le, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ContDiffMapSupportedInClass.instContinuousMapClass, ImplicitFunctionData.isInvertible_fderiv_prodFun, Trivialization.continuousLinearMapAt_apply, ApproximatesLinearOn.lipschitz, tendsto_cobounded_iff_meromorphicOrderAt_neg, lp.inner_eq_tsum, Polynomial.Chebyshev.integral_measureT_eq_integral_cos, MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, Orientation.linearEquiv_det_rotation, mdifferentiableOn_iff, CurveIntegrable.symm, ContinuousLinearMap.continuous_integral_comp_L1, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, EuclideanGeometry.Sphere.wbtw_secondInter, Orientation.tan_oangle_add_left_smul_rotation_pi_div_two, ContDiff.hasStrictFDerivAt, Affine.Simplex.inv_height_eq_sum_mul_inv_dist, OrthonormalBasis.sum_inner_mul_inner, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_faceOpposite, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Meromorphic.deriv, HasFTaylorSeriesUpTo.cont, ImplicitFunctionData.isCompl_ker, EuclideanGeometry.Cospherical.affineIndependent_of_mem_of_ne, ContinuousLinearMap.hasDerivAtFilter, Asymptotics.isLittleO_const_iff, MeasureTheory.Lp.edist_def, Real.fourierIntegral_eq, mdifferentiableWithinAt_iff_of_mem_maximalAtlas, Finset.analyticAt_fun_sum, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, Submodule.re_inner_starProjection_eq_normSq, ContinuousLinearMap.iSup_rayleigh_eq_iSup_rayleigh_sphere, ModelWithCorners.symm_continuousWithinAt_comp_right_iff, AffineSpace.cobounded_eq_iSup_sphere_asymptoticNhds, ProperCone.innerDual_univ, FiniteDimensional.proper_rclike, Affine.Simplex.circumcenter_mem_affineSpan, HasFPowerSeriesOnBall.add, OnePoint.isBoundedAt_iff_exists_SL2Z, Affine.Simplex.affineSpan_pair_altitudeFoot_eq_altitude, inner_self_eq_one_of_norm_eq_one, Orientation.kahler_comp_rightAngleRotation', integral_const_on_unit_interval, circleIntegral_def_Icc, setOf_riemmanianEDist_lt_subset_nhds, integral_exp_mul_Iic, MeasureTheory.submartingale_iff_expected_stoppedValue_mono, MeasureTheory.inner_condExpL2_left_eq_right, MeasureTheory.integral_unique, Orientation.rotation_eq_self_iff, setIntegral_withDensity_eq_setIntegral_smul₀, ContinuousMap.toLp_denseRange, Affine.Simplex.excenter_singleton_mem_affineSpan_range, AnalyticOnNhd.compContinuousLinearMap, intervalIntegral.intervalIntegral_eq_integral_uIoc, not_bounded_iff_exists_ne_zero_mem_asymptoticCone, derivWithin_const, ZLattice.covolume_eq_det_inv, one_add_cpow_hasFPowerSeriesAt_zero, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, BoxIntegral.HasIntegral.sum, differentiableWithinAt_neg_iff, MeasureTheory.Lp.coeFn_add, ODE.FunSpace.isUniformInducing_toContinuousMap, contDiffWithinAtProp_self, ContDiffAt.contMDiffAt, ContDiffBump.support_normed_eq, circleIntegrable_iff, Submodule.reflection_orthogonal_apply, Real.Angle.toCircle_add, InnerProductGeometry.angle_normalize_left, hasFDerivAt_stereoInvFunAux, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, ProbabilityTheory.IsGaussian.map_eq_gaussianReal, MeasureTheory.Martingale.stronglyAdapted, ContinuousLinearMap.comp_memLp, mdifferentiable_iff_target, IsOpen.exists_subset_affineIndependent_span_eq_top, MeasureTheory.integral_fintype_prod_volume_eq_pow, Real.fderiv_fourierChar_neg_bilinear_right_apply, EuclideanGeometry.orthogonalProjection_congr, LinearMap.IsPositive.re_inner_nonneg_right, MeasureTheory.Lp.eq_zero_iff_ae_eq_zero, norm_iteratedFDeriv_mul_le, ContDiffAt.fderiv_right_succ, ContDiffBumpBase.smooth, ImplicitFunctionData.hasStrictFDerivAt_leftFun, contMDiffAt_iff_source, LipschitzWith.memLp_lineDeriv, Orientation.volumeForm_robust_neg, Submodule.starProjection_orthogonal', WeakFEPair.hf_modif_int, hasFPowerSeriesOnBall_pi_iff, ContinuousLinearMap.IsPositive.toLinearMap, MeasureTheory.Lp.ext_iff, ContinuousLinearMap.norm_compLp_le, Submodule.toLinearEquiv_orthogonalDecomposition, ImplicitFunctionData.map_pt_mem_toOpenPartialHomeomorph_target, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, Affine.Simplex.dist_point_faceOppositeCentroid, continuousOn_dslope, ContinuousLinearEquiv.symm_toDiffeomorph, ImplicitFunctionData.pt_mem_toPartialHomeomorph_source, ContDiffBump.eventuallyEq_one, ContDiffMapSupportedIn.structureMapCLM_apply, contDiff_piLp', OrthonormalBasis.toBasis_tensorProduct, TensorProduct.congrIsometry_refl_refl, eventually_enorm_mfderivWithin_symm_extChartAt_lt, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', MeasureTheory.UniformIntegrable.uniformIntegrable_of_ae_tendsto, nnnorm_norm', LipschitzWith.ae_lineDeriv_sum_eq, tangentMap_chart, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, SeparationQuotient.norm_liftNormedAddGroupHom_apply_le, Orientation.areaForm_le, MeasureTheory.isTightMeasureSet_iff_inner_tendsto, setIntegral_withDensity_eq_setIntegral_toReal_smul, MeasureTheory.Lp.indicatorConstLp_compMeasurePreserving, deriv_comp_const_sub, LeftInvariantDerivation.coe_derivation, TensorProduct.enorm_comm, MeasureTheory.Lp.coeFn_const, Submodule.isOrtho_sup_right, HasGradientAt.continuousOn, extChartAt_target_eventuallyEq, HasFPowerSeriesWithinOnBall.restrictScalars, TangentBundle.symmL_trivializationAt, Manifold.IsImmersionAt_def, SmoothPartitionOfUnity.locallyFinite, InnerProductGeometry.sin_angle, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, MeasureTheory.IntegrableOn.of_finite, LipschitzWith.lipschitzWith_compLp, aemeasurable_smul_const, LinearIsometry.rTensor_def, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_right, Affine.Simplex.incenter_map, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, exists_smooth_one_nhds_of_subset_interior, ContinuousWithinAt.extChartAt_symm_preimage_inter_range_eventuallyEq, EuclideanSpace.inner_single_left, HasFTaylorSeriesUpTo.hasFDerivAt, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, MeasureTheory.norm_indicatorConstLp, Measurable.inner, ContMDiffWithinAt.mfderivWithin_const, MeasureTheory.Measure.toSphere_apply_aux, Orientation.neg_rotation, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, GaussianFourier.integral_cexp_neg_mul_sq_norm, map_extChartAt_symm_nhdsWithin, inner_eq_norm_mul_iff, differentiable_fun_neg_iff, Manifold.IsImmersionOfComplement.prodMap, tendsto_smul_comp_nat_floor_of_tendsto_mul, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, AffineSubspace.left_mem_perpBisector, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, ContinuousMap.range_toLp, EuclideanGeometry.preimage_inversion_perpBisector_inversion, NormedSpace.sphere_nonempty_rclike, contMDiff_addInvariantVectorField, eqOn_dslope_sub_smul, Submodule.orthogonalProjection_mem_subspace_eq_self, Affine.Triangle.sSameSide_affineSpan_pair_point_incenter, ContinuousLinearMap.IsPositive.inner_nonneg_right, SmoothPartitionOfUnity.nonneg, LeftInvariantDerivation.left_invariant', circleIntegral.integral_sub_inv_of_mem_ball, FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius, Orientation.eq_rotation_self_iff_angle_eq_zero, FormalMultilinearSeries.le_changeOriginSeries_radius, Orientation.volumeForm_neg_orientation, ProbabilityTheory.sum_prob_mem_Ioc_le, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, derivWithin_fderivWithin, Complex.nndist_self_conj, derivWithin_natCast, MeasureTheory.L1.ofReal_norm_eq_lintegral, Complex.betaIntegral_scaled, AntitoneOn.memLp_isCompact, Set.instTietzeExtensionUnitBall, IsometryEquiv.toRealLinearIsometryEquiv_apply, MeasureTheory.pdf.integral_mul_eq_integral, MeasureTheory.condExpIndL1Fin_smul, GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpace, instIsAddHaarMeasureVolume, Trivialization.mdifferentiableOn_section_baseSet_iff, fourierCoeffOn.const_mul, InnerProductSpace.span_gramSchmidtNormed_range, intervalIntegral.sub_le_integral_of_hasDeriv_right_of_le, SlashInvariantForm.quotientFunc_mk, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, mellin_div_const, Submodule.orthogonal_disjoint, analyticWithinAt_pi_iff, InnerProductGeometry.angle_smul_right_of_pos, TemperedDistribution.lineDerivOp_fourier_eq, WeakFEPair.symm_Λ₀_eq, ContDiffPointwiseHolderAt.isBigO, PadicInt.norm_mahlerTerm, ModularForm.SL_slash, WithLp.instCompleteSpace, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, AnalyticOn.comp_sub, SchwartzMap.decay', Module.Basis.ofZLatticeBasis_apply, ContinuousLinearMap.image_rayleigh_eq_image_rayleigh_sphere, ContinuousAlternatingMap.map_insertNth, intervalIntegral.integral_comp_sub_div, FormalMultilinearSeries.derivSeries_coeff_one, Isometry.coe_affineIsometryOfStrictConvexSpace, VonNeumannAlgebra.ext_iff, mdifferentiableOn_extChartAt, Submodule.starProjection_add_starProjection_orthogonal, contMDiff_neg_sphere, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, instIsZLatticeComap, not_differentiableAt_norm_zero, mdifferentiableOn_symm_coordChangeL, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, intervalIntegral.integral_comp_mul_left, LipschitzWith.ae_exists_fderiv_of_countable, AnalyticAt.fun_const_smul, MeasureTheory.Lp.dist_def, Pi.nnnorm_single, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, MeasureTheory.Lp.aestronglyMeasurable, circleAverage_log_norm_sub_const₁, intervalIntegral.integral_comp_mul_sub, exists_eq_const_mul_intervalIntegral_of_nonneg, SchwartzMap.bilinLeftCLM_apply, derivWithin_congr, ContDiffBump.integral_normed, ODE.FunSpace.range_toContinuousMap, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, MeasureTheory.integral_fintype_prod_eq_prod, TangentBundle.coe_chartAt_fst, derivWithin_comp_const_sub, IsHilbertSum.linearIsometryEquiv_symm_apply, SmoothBumpCovering.exists_immersion_euclidean, IsOpen.exists_msmooth_support_eq, Affine.Triangle.sbtw_touchpoint_singleton, Affine.Triangle.dist_point_faceOppositeCentroid, OrderedFinpartition.norm_applyOrderedFinpartition_le, OpenPartialHomeomorph.tendsto_extend_comp_iff, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, AffineMap.hasDerivWithinAt, Submodule.starProjection_singleton, HasFPowerSeriesAt.eventually_hasSum, SmoothPartitionOfUnity.locallyFinite', MeasureTheory.lpMeasSubgroupToLpTrim_neg, Real.rpow_eq_const_mul_integral, torusIntegral_add, EuclideanGeometry.reflection_symm, contDiffWithinAt_fst, interval_average_eq_div, MeasureTheory.Lp.simpleFunc.uniformContinuous, Orientation.tan_oangle_add_right_smul_rotation_pi_div_two, Affine.Simplex.mem_circumsphere, ProbabilityTheory.setIntegral_condCDF, MeasureTheory.locallyIntegrableOn_const, hasStrictFDerivAt_snd, MeasureTheory.le_eLpNorm_of_bddBelow, ContMDiffAdd.prod, CPolynomialAt.add, HasFPowerSeriesAt.neg, Submodule.isOrtho_iff_inner_eq, MeasureTheory.Lp.memLp, CPolynomialOn.iterated_deriv, ContDiff.continuous_deriv_one, EuclideanGeometry.orthogonalProjection_contLinear, ContMDiffMul.contMDiff_mul, curveIntegralFun_smul, MeasureTheory.Lp.nnnorm_def, OpenPartialHomeomorph.map_extend_nhdsWithin_eq_image_of_subset, Module.Basis.exists_opNorm_le, ClosedSubmodule.mem_orthogonal', ContDiffWithinAt.eventually, meromorphicOrderAt_add_of_ne, integral_pow, fourierIntegral_gaussian_innerProductSpace', MeasureTheory.Martingale.integrable, ContinuousAffineMap.differentiable, ProbabilityTheory.integral_gaussianReal_eq_integral_smul, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, EuclideanGeometry.Sphere.mem_commonExtTangents_iff, derivWithin_fun_const_smul_field, MeasureTheory.Measure.instIsAddLeftInvariantMeasure, mdifferentiableWithinAt_iff_target_inter, ModelWithCorners.mdifferentiableOn_symm, differentiableWithinAt_fun_neg_iff, InnerProductSpace.canonicalCovariantTensor_eq_sum, fourier_gaussian_pi', Bundle.contMDiffWithinAt_zeroSection, MeasureTheory.charFun_eq_fourierIntegral, MeasureTheory.lintegral_enorm_neg, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, mdifferentiableOn_snd, integral_log_sin_zero_pi_div_two, lintegral_fderiv_lineMap_eq_edist, MeasureTheory.HasFiniteIntegral.restrict_of_bounded, EuclideanGeometry.oangle_sign_eq_zero_iff_collinear, curveIntegrable_fun_neg_iff, hasDerivWithinAt_zero, exists_eq_interval_average_of_noAtoms, Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two, MonotoneOn.intervalIntegrable, MeasureTheory.Measure.addHaarScalarFactor_eq_integral_div, ContDiffAt.hasStrictDerivAt, contMDiff_mul, contMDiff_mulInvariantVectorField, ContinuousLinearEquiv.coe_toDiffeomorph_symm, Submodule.reflection_symm, PeriodPair.iteratedDeriv_derivWeierstrassPExcept_self, OrthonormalBasis.det_eq_neg_det_of_opposite_orientation, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, TensorProduct.ext_iff_inner_right_threefold', MeasureTheory.lpMeasSubgroupToLpTrim_ae_eq, tangentCoordChange_def, CurveIntegrable.zero, intervalIntegral.integral_ofReal, ContinuousMultilinearMap.contDiffAt, hasDerivAtFilter_ofNat, ProbabilityTheory.hasGaussianLaw_iff_charFun_map_eq, enorm_norm', MeasureTheory.lintegral_comp_eq_lintegral_meas_le_mul, OrthonormalBasis.det_to_matrix_orthonormalBasis_of_opposite_orientation, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, MeasureTheory.memLp_indicator_const, TensorProduct.toLinearEquiv_lidIsometry, HasFPowerSeriesOnBall.restrictScalars, GaussianFourier.integral_cexp_neg_mul_sq_norm_add, contMDiffWithinAt_snd, derivWithin_zero_of_frequently_const, ContDiffOn.inner, ZSpan.smul, Meromorphic.fun_sum, AnalyticOnNhd.eval_linearMap', norm_toCompl, EuclideanGeometry.reflection_map, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, Module.Basis.ofZLatticeComap_apply, map_extChartAt_symm_nhdsWithin', AffineEquiv.continuous_of_finiteDimensional, conformal_const_smul, ContinuousLinearMap.adjoint_id, integral_exp, NormedAddGroupHom.zero_completion, ClosedSubmodule.inf_orthogonal, summable_imp_tendsto_iff_completeSpace, contMDiffWithinAt_prod_iff, lp.coeFnAddMonoidHom_apply, integral_inv_of_pos, ContDiffWithinAt.fun_smul, iteratedFDerivWithin_succ_eq_comp_left, ContinuousLinearMap.isPositive_natCast, ContinuousMultilinearMap.opNorm_zero_iff, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, LipschitzWith.memLp_comp_iff_of_antilipschitz, continuousAt_extChartAt, hasFDerivWithinAt_comp_smul_iff_smul, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Submodule.starProjection_comp_starProjection_eq_zero_iff, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, FDerivMeasurableAux.differentiable_set_subset_D, sum_cauchyPowerSeries_eq_integral, MeasureTheory.condExpIndL1_add, SchwartzMap.laplacianCLM_eq, UniqueMDiffOn.prod, CStarModule.innerSL_apply, MeromorphicOn.fun_smul, LinearIsometryEquiv.conjStarAlgEquiv_apply, MeasureTheory.smul_convolution, Bundle.ContinuousLinearMap.vectorBundle, Affine.Simplex.ExcenterExists.affineCombination_eq_excenter_iff, Real.vector_fourierIntegral_eq_integral_exp_smul, PadicInt.mahlerTerm_apply, iteratedFDerivWithin_comp_add_right', LinearMap.toMatrixOrthonormal_reindex, contDiff_one_iff_fderiv, MeasureTheory.ConvolutionExistsAt.integrable, VectorBundleCore.mem_localTriv_target, IsLocalFrameOn.contMDiffAt_of_coeff, UnitAddTorus.mFourierSubalgebra_closure_eq_top, contMDiff_equivTangentBundleProd_symm, Real.fourier_real_eq_integral_exp_smul, EuclideanGeometry.Sphere.mem_tangentsFrom_iff, MeasureTheory.norm_indicatorConstLp_top, InnerProductGeometry.angle_smul_left_of_neg, ProbabilityTheory.cdf_paretoMeasure_eq_integral, InnerProductGeometry.angle_normalize_right, MeasureTheory.integral_tilted, inner_lt_norm_mul_iff_real, Complex.nnnorm_ratCast, hasLineDerivAt_iff_isLittleO_nhds_zero, Function.HasTemperateGrowth.sum, Complex.differentiableOn_dslope, IntervalIntegrable.zero, smul_unitClosedBall, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, MeasureTheory.UniformIntegrable.integrable_of_tendstoInMeasure, MeasureTheory.L1.integral_smul, LocallyBoundedVariationOn.ae_differentiableWithinAt, integral_sin_pow_three, MeasureTheory.Measure.toSphere_real_apply_univ, Real.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, LinearIsometry.isEmbedding, contDiff_zero, TestFunction.toBoundedContinuousFunctionCLM_apply, circleAverage_log_norm_sub_const_of_mem_closedBall, Conformal.const_smul, MeasureTheory.Lp.instFourierInvSMul, hasFDerivWithinAt_sub_const_iff, ClosedSubmodule.orthogonal_injective, Orientation.oangle_neg_right, ContinuousLinearEquiv.hasTemperateGrowth, stronglyMeasurable_derivWithin_Ioi, SchwartzMap.fderivCLM_apply, contDiff_prodAssoc, ContinuousLinearMap.smul_compLp, isOpen_extChartAt_target, hasMFDerivAt_extChartAt, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.contMDiff, OpenPartialHomeomorph.extend_target_mem_nhdsWithin, ContinuousLinearMap.mdifferentiable, HasSum.hasSum_at_zero, HasFPowerSeriesAt.add, differentiableWithinAt_sub_const_iff, VectorBundleCore.coordChange_self, Metric.contractibleSpace_closedBall, EuclideanGeometry.Sphere.mem_commonTangents_iff, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, fderiv_const_smul_field, ProbabilityTheory.IsRatCondKernelCDF.setIntegral, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, instContMDiffAddSelf, LinearIsometry.map_starProjection', MeromorphicOn.fun_add, polynomialFunctions.starClosure_topologicalClosure, analyticOnNhd_circleMap, threeAPFree_sphere, AddCircle.integral_haarAddCircle, WithCStarModule.inner_def, InnerProductSpace.HarmonicAt.const_smul, CircleIntegrable.const_smul, exists_dist_slope_lt_pairwiseDisjoint_hasSum, Affine.Simplex.excenterWeightsUnnorm_reindex, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, OrthonormalBasis.repr_self, PointwiseConvergenceCLM.tendsto_nhds, Submodule.symmetric_isOrtho, iteratedDeriv_scomp_three, ContDiffAt.continuousAt_fderiv, hasDerivWithinAt_pi, IsometryEquiv.midpoint_fixed, MeromorphicOn.add, differentiableOn_iteratedDerivWithin_cotTerm, ProbabilityTheory.IsCondKernelCDF.integral, smoothSheafCommRing.instLocalRing_stalk, intervalIntegral.integral_mono_on, Orientation.oangle_smul_left_of_neg, MeasureTheory.eLpNorm_mono_real, map_extChartAt_symm_nhdsWithin_range', deriv_const', norm_smul_inv_norm, ContinuousLinearEquiv.comp_hasFDerivAt_iff, tendstoUniformly_tsum_nat, Real.Angle.continuousAt_sign, ContinuousLinearMap.eq_adjoint_iff, abs_setIntegral_mulExpNegMulSq_comp_sub_le_mul_measure, Orientation.norm_div_cos_oangle_add_left_of_oangle_eq_pi_div_two, RealNormedSpace.noncompactSpace, modelWithCornersSelf_coe_symm, MeasureTheory.L2.inner_def, deriv.star, Orientation.volumeForm_map, ContMDiffVectorBundle.pullback, MeasureTheory.Measure.addHaar_ball_of_pos, SchwartzMap.toLpCLM_apply, dist_birkhoffSum_birkhoffSum_le, LinearMap.IsSymmetric.directSum_decompose_apply, OrthonormalBasis.sum_sq_inner_right, Polynomial.Chebyshev.integral_T_real_mul_self_measureT_of_ne_zero, ProbabilityTheory.moment_one, TangentBundle.symmL_trivializationAt_eq_core, integral_exp_neg_mul_rpow, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, MeasureTheory.BorelCantelli.martingalePart_process_ae_eq, HasFPowerSeriesAt.comp, ZeroAtInftyContinuousMap.instNormedStarGroup, Homeomorph.contDiff_unitBall, ContinuousLinearMap.IsPositive.smul_of_nonneg, fderiv_add_const, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, isClosed_nonneg, Orientation.oangle_add_right_eq_arcsin_of_oangle_eq_pi_div_two, Unitary.coe_linearIsometryEquiv_apply, BoxIntegral.integral_add, OrthonormalBasis.toBasis_adjustToOrientation, ModularForm.prod_slash_sum_weights, Submodule.reflection_singleton_apply, MeasureTheory.condExpIndL1Fin_add, smul_unitClosedBall_of_nonneg, HasFTaylorSeriesUpToOn.zero_eq', BoxIntegral.HasIntegral.tendsto, Polynomial.Chebyshev.integral_measureT, ProbabilityTheory.IdentDistrib.eLpNorm_eq, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, intervalIntegral.integral_div, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, stereographic'_source, interior_convexHull_nonempty_iff_affineSpan_eq_top, ContDiff.continuous_deriv, integral_sin_pow_pos, MeasureTheory.Lp.compMeasurePreservingₗ_apply, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, mdifferentiableWithinAt_section, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff', HasFiniteFPowerSeriesAt.finite, MeasureTheory.weightedSMul_nonneg, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, FormalMultilinearSeries.id_apply_one', TangentBundle.continuousLinearMapAt_trivializationAt_eq_core, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, tensorIteratedFDerivTwo_eq_iteratedFDeriv, AnalyticOnNhd.iteratedFDeriv, map_extChartAt_symm_nhdsWithin_range, ContinuousLinearEquiv.contDiffAt_comp_iff, Affine.Simplex.ExcenterExists.touchpoint_map, WeakFEPair.h_feq, differentiableAt_smul_iff, Orientation.inner_rightAngleRotation_swap', differentiableAt_comp_add_const, EuclideanGeometry.angle_eq_iff_oangle_eq_or_wbtw, nonempty_innerProductSpace, MeasureTheory.condExpL1_measure_zero, OnePoint.isBoundedAt_iff_forall_SL2Z, Complex.integral_rpow_mul_exp_neg_rpow, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', OrthonormalBasis.measurePreserving_repr, Module.Basis.parallelepiped_reindex, Submodule.reflection_apply, Real.circleAverage_sum, integral_Ioi_rpow_of_lt, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegralFun_segment, SchwartzMap.integral_fourierInv_smul_eq, SlashInvariantForm.quotientFunc_smul, map_extChartAt_nhdsWithin', Besicovitch.SatelliteConfig.exists_normalized_aux2, differentiable_finCons', MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, sphere_subset_range_iff_surjective, Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, curveIntegral_neg, PeriodPair.analyticAt_weierstrassPExcept, MeasureTheory.Measure.addHaar_sphere_of_ne_zero, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, SchwartzMap.inner_toL2_toL2_eq, HasGradientAt.continuousAt, MeasureTheory.AEEqFun.integrable_iff_mem_L1, MeasureTheory.SimpleFunc.memLp_zero, circleIntegral.integral_fun_sum, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, LinearIsometryEquiv.lTensor_apply, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, ProbabilityTheory.gammaCDFReal_eq_integral, Metric.isPathConnected_ball, integral_bernoulliFun, InnerProductSpace.gramSchmidt_def, MeasureTheory.Lp.simpleFunc.isDenseEmbedding, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, CStarMatrix.toCLM_injective, MeasureTheory.integrable_piLp_iff, iteratedFDerivWithin_succ_const, Complex.integral_circleTransform, ContinuousLinearMap.isPositive_self_comp_adjoint, dslope_eventuallyEq_slope_nhdsNE, iteratedDeriv_scomp_eq_sum_orderedFinpartition, trivialization_linear, ContinuousLinearMap.hasFPowerSeriesAt, Bundle.Trivial.continuousLinearMapAt_trivialization, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, Trivialization.contMDiffOn_symm_trans, hasDerivAt_iff_isLittleO, Affine.Simplex.orthogonalProjectionSpan_eq_point, intervalIntegral.intervalIntegrable_of_integral_ne_zero, LocallyBoundedVariationOn.ae_differentiableAt, Real.Icc_mem_vitaliFamily_at_left, Unitary.linearIsometryEquiv_coe_apply, LDL.lowerInv_eq_gramSchmidtBasis, ContDiffAt.differentiableAt, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, EuclideanGeometry.angle_vadd_const, hasStrictFDerivAt_pi', MeasureTheory.UniformIntegrable.memLp_of_tendstoInMeasure, HasFPowerSeriesOnBall.const_smul, Orientation.abs_volumeForm_apply_of_orthonormal, ContDiffBump.normed_def, BoxIntegral.Integrable.dist_integralSum_le_of_memBaseSet, signedDist_linear_apply_apply, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, ContinuousMultilinearMap.curry0_apply, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_pointReflection_center_right, hasFDerivAtFilter_sub_const_iff, Affine.Simplex.sSameSide_incenter_point, norm_iteratedFDerivWithin_zero, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, EuclideanGeometry.collinear_iff_of_two_zsmul_oangle_eq, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, RealNormedSpace.cobounded_neBot, setIntegral_Ioi_zero_rpow, SchwartzMap.integral_bilin_fourierIntegral_eq, MeasureTheory.Submartingale.integrable, fourier_gaussian_innerProductSpace, analyticOnNhd_pi_iff, DomMulAct.smul_Lp_sub, EuclideanGeometry.oangle_midpoint_right, MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonneg, ValueDistribution.logCounting_add_top_le, analyticOrderAt_add_eq_left_of_lt, Affine.Simplex.ExcenterExists.excenter_map, integral_rpow_mul_exp_neg_rpow, mdifferentiableAt_iff, OnePoint.isZeroAt_iff_exists_SL2Z, LinearIsometryEquiv.adjoint_eq_symm, SchwartzMap.toLp_fourierInv_eq, extDeriv_fun_smul, TensorProduct.mapIsometry_id_id, MeasureTheory.measure_lt_one_eq_integral_div_gamma, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeasureTheory.setIntegral_prod_mul, Orientation.neg_rotation_neg_pi_div_two, MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos', IsContDiffImplicitAt.hasFDerivAt, iteratedDerivWithin_eq_iteratedFDerivWithin, contDiffAt_pi', Real.one_add_rpow_hasFPowerSeriesOnBall_zero, Submodule.IsOrtho.orthogonalProjection_comp_subtypeL, LinearMap.IsPositive.isPositive_smul_iff, ContinuousLinearMap.sSup_sphere_eq_nnnorm, analyticOrderAt_smul_eq_top_of_left, Polynomial.Chebyshev.integral_measureT_eq_integral_cos_of_continuous, ContDiffAt.prodMap, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.continuous_condExpIndL1, MeasureTheory.charFunDual_eq_charFun_map_one, HasFPowerSeriesOnBall.tendsto_partialSum_prod, EuclideanGeometry.orthogonalProjection_map, hasFDerivWithinAt_pi', EisensteinSeries.E2_slash_action, IsHilbertSum.hasSum_linearIsometryEquiv_symm, MeasureTheory.Lp.nnnorm_eq_zero_iff, Submodule.IsOrtho.map_iff, MeasureTheory.integral_fintype_prod_eq_pow, MeasureTheory.charFun_apply, mfderivWithin_projIcc_one, InnerProductSpace.harmonicOnNhd_comp_CLE_iff, sameRay_iff_inv_norm_smul_eq_of_ne, intervalIntegral.integral_pos_iff_support_of_nonneg_ae', norm_sum_lt_of_strictConvexSpace, iteratedDerivWithin_eq_iterate, UniformConvexOn.strictConvexOn, tendstoUniformly_tsum_of_cofinite_eventually, integral_cos_pow, Orientation.oangle_sign_sub_smul_left, MeasureTheory.SimpleFunc.integral_eq_sum_filter, contDiffWithinAt_nat, deriv_const_add', SchwartzMap.eLpNorm_lt_top, ProbabilityTheory.integral_stieltjesOfMeasurableRat, MeasureTheory.Measure.quasiMeasurePreserving_smul, hasFDerivAt_snd, Affine.Simplex.ExcenterExists.touchpoint_notMem_affineSpan_of_ne, MeasureTheory.dominatedFinMeasAdditive_condExpInd, MeasureTheory.L1.SimpleFunc.integral_add, EuclideanGeometry.Sphere.isTangentAt_of_dist_sq_eq_power, Affine.Simplex.abs_inner_vsub_altitudeFoot_div_lt_one, MeasureTheory.Measure.integral_isAddLeftInvariant_eq_smul_of_hasCompactSupport, Complex.nndist_of_im_eq, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, Orientation.rightAngleRotation_def, EuclideanGeometry.angle_eq_zero_iff_eq_and_ne_or_sbtw, Function.locallyFinsuppWithin.logCounting_eval_zero, ImplicitFunctionData.range_leftDeriv, ProbabilityTheory.IndepFun.integral_comp_mul_comp, Affine.Simplex.touchpoint_singleton_mem_interior_faceOpposite, MeasureTheory.Measure.integral_isMulLeftInvariant_isMulRightInvariant_combo, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, MeasureTheory.integrable_condExp, ContDiffPointwiseHolderAt.differentiableAt, ZLattice.comap_toAddSubgroup, Complex.hasDerivAt_GammaIntegral, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, ContMDiffAdd.contMDiff_add, Submodule.coe_orthogonalDecomposition_symm, Affine.Simplex.excenterExists_reindex, LSeries_iteratedDeriv, MeasureTheory.Lp.finStronglyMeasurable, Real.Angle.sign_two_nsmul_eq_neg_sign_iff, CuspForm.coeHom_apply, Complex.analyticOnNhd_univ_iff_differentiable, SchwartzMap.integral_sesq_fourier_eq, MDifferentiableWithinAt.differentiableWithinAt_writtenInExtChartAt, BoundedContinuousFunction.coe_toContinuousMapStarₐ, MeasureTheory.aestronglyMeasurable_condExpL2, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, EuclideanGeometry.Sphere.secondInter_collinear, Submodule.orthogonalProjection_bot, isAddHaarMeasure_basis_addHaar, MeasureTheory.charFunDual_pi', intervalIntegral.integral_mono_ae_restrict, ContinuousLinearMap.adjointAux_norm, Manifold.IsSmoothEmbedding.prodMap, differentiable_apply, CStarMatrix.norm_def', derivWithin_univ, SchwartzMap.memLp, Submodule.range_starProjection, MeasureTheory.eLpNorm_norm, BoxIntegral.unitPartition.integralSum_eq_tsum_div, MeasureTheory.Measure.addHaar_ball_mul, InformationTheory.toReal_klDiv_eq_integral_klFun, fderiv_neg, ValueDistribution.logCounting_top, MeasureTheory.convolution_smul, ZLattice.module_finite, OpenPartialHomeomorph.continuousAt_extend_symm', LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, Affine.Simplex.ninePointCircle_eq_circumsphere_medial, NormedAddGroupHom.extension_coe_to_fun, Probability.integral_cauchyPDFReal, meromorphicOrderAt_ne_top_iff, HasFPowerSeriesAt.differentiableAt, Pi.counit_eq_adjoint, EisensteinSeries.G2_slash_action, ProbabilityTheory.covarianceBilin_apply_basisFun_self, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.condExpInd_nonneg, MeasureTheory.charFun_apply_real, ContDiffAt.fst'', ContinuousLinearMap.fpowerSeries_apply_zero, Complex.taylorSeries_eq_on_ball', SmoothBumpFunction.exists_r_pos_lt_subset_ball, Orientation.areaForm_to_volumeForm, stereoInvFunAux_apply, StrongFEPair.functional_equation, derivWithin.fun_neg, fourierCoeff_bernoulli_eq, Submodule.exists_add_mem_mem_orthogonal, Manifold.IsImmersionAtOfComplement.prodMap, LDL.lowerInv_orthogonal, SeparationQuotient.liftNormedAddGroupHomEquiv_apply, ContinuousAffineMap.norm_def, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, circleAverage_log_norm_sub_const_eq_log_radius_add_posLog, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, signedDist_le_dist, HasGradientWithinAt.continuousWithinAt, iteratedDeriv_succ', EuclideanGeometry.Sphere.IsTangentAt.mem_space, iteratedDerivWithin_one, MeasureTheory.withDensityᵥ_neg', Diffeomorph.coe_prodCongr, Affine.Simplex.circumcenter_reindex, OpenPartialHomeomorph.contDiff_univUnitBall, iteratedDeriv_smul_const, circleIntegral.integral_sub_inv_smul_sub_smul, EulerSine.integral_cos_mul_cos_pow_aux, ExistsContDiffBumpBase.w_compact_support, SchwartzMap.fourier_lineDerivOp_eq, Manifold.IsImmersionAtOfComplement.map_target_subset_target, MeasureTheory.HasFiniteIntegral.mono', EuclideanGeometry.affineSpan_of_orthocentricSystem, TemperedDistribution.instLineDerivLeftSMulReal, tangentBundle_model_space_coe_chartAt, LindemannWeierstrass.exp_polynomial_approx, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, CStarMatrix.inner_toCLM_conjTranspose_left, AffineSubspace.mem_perpBisector_iff_inner_eq_zero, Orientation.areaForm_neg_orientation, MeasureTheory.L1.continuous_integral, AffineBasis.interior_convexHull, EuclideanGeometry.inversion_vsub_center, MeasureTheory.uniformIntegrable_iff, Orientation.rightAngleRotation_trans_rightAngleRotation, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, MeasureTheory.Lp.stronglyMeasurable, Function.Periodic.sInf_add_zsmul_le_integral_of_pos, differentiable_euclidean, Filter.EventuallyEq.deriv, hasStrictDerivAt_add_const_iff, hasLineDerivWithinAt_smul_iff, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, ProbabilityTheory.iCondIndep_iff, ProbabilityTheory.centralMoment_one', MeasureTheory.SimpleFunc.memLp_iff_integrable, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, contMDiffOn_iff_contDiffOn, ExistsContDiffBumpBase.u_continuous, TemperedDistribution.fourierInv_lineDerivOp_eq, MeasureTheory.L1.integrable_coeFn, hasMFDerivAt_fst, SchwartzMap.injective_toLp, MeasureTheory.condExpL2_indicator_ae_eq_smul, Affine.Simplex.excenter_eq_affineCombination, mfderivWithin_comp_projIcc_one, Real.enorm_natCast, ProbabilityTheory.iCondIndepFun_iff_condExp_inter_preimage_eq_mul, conformalAt_const_smul, UpperHalfPlane.mdifferentiable_inv_denom, Affine.Triangle.dist_div_sin_angle_eq_two_mul_circumradius, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, ImplicitFunctionData.map_pt_mem_toPartialHomeomorph_target, FormalMultilinearSeries.rightInv_removeZero, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', contDiffWithinAt_euclidean, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, MeromorphicAt.fun_smul, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, SmoothPartitionOfUnity.sum_finsupport', writtenInExtChart_prod, ProbabilityTheory.variance_le_sub_mul_sub, Real.dimH_univ_eq_finrank, EuclideanGeometry.Sphere.commonIntTangents_union_commonExtTangents, Submodule.le_orthogonal_orthogonal, MeasureTheory.Measure.integral_comp_inv_mul_left, ContDiffBump.measure_closedBall_div_le_integral, Orientation.kahler_eq_zero_iff, LinearMap.eq_adjoint_iff_basis_left, curveIntegralFun_trans_aeeq_right, Bundle.contMDiffAt_zeroSection, contDiff_succ_iff_fderiv, ModelWithCorners.prod_target, BoxIntegral.integralSum_add, ContinuousLinearEquiv.comp_differentiableOn_iff, MeasureTheory.measure_smul_average, contMDiffAt_mulInvariantVectorField, extChartAt_preimage_mem_nhdsWithin', hasMellin_add, isOpen_cpolynomialAt, InnerProductSpace.HarmonicOnNhd.comp_CLM, ZLattice.rank, Orientation.oangle_sign_sub_smul_right, hasDerivAtFilter_zero, contDiffAt_piLp_apply, ProperCone.innerDual_sUnion, AffineSubspace.perpBisector_nonempty, Complex.integral_comp_polarCoord_symm, signedDist_apply_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, MDifferentiable.prodMap, ZSpan.quotientEquiv_apply_mk, integral_sin_sq, SchwartzMap.integral_norm_sq_fourier, deriv.fun_neg', Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Orientation.oangle_smul_left_self_of_nonneg, Affine.Simplex.altitudeFoot_mem_affineSpan_image_compl, UnitAddTorus.mFourierCoeff_toLp, Manifold.pathELength_def, MeasureTheory.Lp.simpleFunc.stronglyMeasurable, ODE.FunSpace.continuousOn_comp_compProj, iteratedDerivWithin_const_add, equivTangentBundleProd_apply, norm_lineDeriv_le_of_lipschitz, SchwartzMap.differentiable, MeasureTheory.Lp.dist_edist, LinearIsometryEquiv.fderiv, Orientation.areaForm_swap, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, ContinuousLinearMap.iInf_rayleigh_eq_iInf_rayleigh_sphere, ContinuousLinearMap.holderₗ_apply_apply, contMDiffWithinAt_prod_module_iff, hasFDerivAt_add_const_iff, taylor_tendsto, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, dslope_sub_smul, ext_inner_map, ProbabilityTheory.covarianceOperator_zero, ProbabilityTheory.IsGaussian.memLp_two_id, ContinuousMultilinearMap.curryRight_norm, ContinuousLinearMap.analyticOn_bilinear, MeasureTheory.memLp_const_iff, integral_exp_mul_complex_Ioi, LinearIsometryEquiv.measurePreserving, MeasureTheory.SignedMeasure.withDensityᵥ_rnDeriv_eq, setIntegral_Ioi_zero_cpow, Submodule.instHasOrthogonalProjectionOfCompleteSpace, ContDiffOn.continuousOn_iteratedDerivWithin, CPolynomialAt.exists_mem_nhds_cpolynomialOn, FDerivMeasurableAux.norm_sub_le_of_mem_A, ContinuousLinearMap.deriv, Affine.Simplex.finrank_direction_altitude, MeasureTheory.convolution_lsmul, TemperedDistribution.instFourierAdd, intervalIntegral.integral_mono, EuclideanGeometry.angle_vsub_const, hasFDerivAt_sub_const_iff, SlashInvariantForm.coe_translate, MeasureTheory.Lp.norm_zero, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, curveIntegral_fun_zero, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, ModelWithCorners.uniqueDiffOn_preimage, LinearMap.nonneg_iff_isPositive, upperClosure_interior_subset, EuclideanGeometry.Sphere.IsDiameter.wbtw, Affine.Simplex.mongePoint_mem_mongePlane, Orientation.kahler_swap, ProbabilityTheory.IsGaussian.integrable_fun_id, Orientation.det_rotation, strongConcaveOn_zero, Orientation.rotation_pi_apply, MeasureTheory.Lp.simpleFunc.sub_toSimpleFunc, integral_withDensity_eq_integral_smul, MeasureTheory.L1.dist_eq_integral_dist, NormedAddGroupHom.norm_completion, intervalIntegral.integral_comp_add_div, ContinuousLinearMap.isCompact_image_coe_closedBall, MeasureTheory.L1.norm_def, OrthonormalBasis.prod_apply, intervalIntegral.integral_mono_interval, iteratedFDeriv_add_apply, deriv_fderiv, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, BoundedContinuousFunction.instIsOrderedAddMonoid, Affine.Simplex.isTangentAt_insphere_touchpoint, InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero, Orientation.rotation_rotation, cauchyPowerSeries_apply, Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_pi, curveIntegralFun_symm_apply, SeparationQuotient.norm_normedMk_eq_one, Affine.Simplex.excenterWeightsUnnorm_map, LSeries_analyticOnNhd, EuclideanGeometry.Sphere.IsExtTangentAt.wbtw, ContinuousLinearMap.isClosed_image_coe_closedBall, ModelWithCorners.hasMFDerivAt, SeparationQuotient.norm_normedMk_le, instNormedSpaceLieAddGroup, MeasureTheory.integral_condExpL2_eq, HasFPowerSeriesOnBall.coeff_zero, ContinuousLinearMap.instStarOrderedRing, BoxIntegral.HasIntegral.smul, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, TemperedDistribution.instFourierSMul, instIsContinuousRiemannianBundleTrivial, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, VectorBundleCore.localTriv_symm_fst, EuclideanGeometry.oangle_add, HasFPowerSeriesWithinOnBall.differentiableOn, DomAddAct.instIsIsometricVAddSubtypeAEEqFunMemAddAddSubgroupLp, HasMFDerivWithinAt.prodMap, mdifferentiableAt_addInvariantVectorField, extChartAt_target_mem_nhdsWithin, hasFPowerSeriesOnBall_const, contDiff_circleMap, tendsto_cobounded_of_meromorphicOrderAt_neg, ImplicitFunctionData.pt_mem_toOpenPartialHomeomorph_source, Affine.Simplex.ExcenterExists.affineSpan_faceOpposite_eq_orthRadius, Real.Angle.sin_add_pi, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, TensorProduct.lidIsometry_apply, ContDiffMapSupportedIn.seminorm_le_iff, intervalIntegral.integral_mono_on_of_le_Ioo, eventually_norm_mfderivWithin_symm_extChartAt_lt, ProbabilityTheory.IsRatCondKernelCDFAux.tendsto_integral_of_antitone, Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub, ContDiff.prodMk, ContinuousLinearMap.hasDerivAt, MeasureTheory.Integrable.of_isEmpty, contDiff_apply, Orientation.volumeForm_def, ProbabilityTheory.Kernel.setIntegral_densityProcess_of_mem, UniqueMDiffOn.uniqueDiffOn_target_inter, MeasureTheory.Measure.integral_comp_smul_of_nonneg, MeasureTheory.eLpNorm_mono_ae, PadicInt.fwdDiff_tendsto_zero, MeasureTheory.Measure.addHaar_unitClosedBall_eq_addHaar_unitBall, ContMDiff.contMDiff_tangentMap, ContinuousMap.hasFiniteIntegral_of_bound, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, iteratedFDeriv_sum, LinearMap.IsPositive.inner_nonneg_left, VectorField.mpullback_eq_pullback, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, iteratedFDerivWithin_comp_add_left, hasGradientAtFilter_iff_isLittleO, hasFTaylorSeriesUpTo_zero_iff, ContinuousLinearMap.instCStarRingId, NormedSpace.eq_zero_iff_forall_dual_eq_zero, orthonormal_fourier, hasFDerivAt_finCons, ProbabilityTheory.condIndepSets_singleton_iff, VectorBundleCore.localTrivAt_apply, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, MonotoneOn.sum_le_integral, hasFDerivWithinAt_finCons, UpperHalfPlane.contMDiff_coe, norm_injOn_ray_right, hasGradientAt_iff_isLittleO, MeasureTheory.setIntegral_condExpL2_indicator, CuspForm.holo', contMDiff_coe_sphere, integral_cos_pow_aux, iteratedDeriv_fun_const_smul, BoundedContinuousFunction.lintegral_nnnorm_le, ProbabilityTheory.isPosSemidef_covarianceBilin, BoundedContinuousFunction.mem_charPoly, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, stereographic_apply_neg, instCountable_of_discrete_submodule, LinearIsometry.norm_toContinuousLinearMap, intervalIntegral.abs_intervalIntegral_eq, OrthonormalBasis.orthogonalProjection_apply_eq_sum, Orientation.kahler_comp_rightAngleRotation, differentiable_snd, InformationTheory.toReal_klDiv, TemperedDistribution.instFourierPairInv, BoundedContinuousFunction.charAlgHom_apply, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left, TangentBundle.trivializationAt_fst, LeftInvariantDerivation.comp_L, EuclideanGeometry.oangle_eq_pi_iff_sbtw, TemperedDistribution.instFourierPair, ae_differentiableAt_norm, IsOpen.exists_contMDiff_support_eq_aux, hasDerivAtFilter_iff_tendsto_slope, AffineMap.differentiableWithinAt, HasGradientWithinAt.differentiableWithinAt, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, TemperedDistribution.delta_apply, modelWithCornersSelf_boundaryless, ContinuousAlternatingMap.curryLeft_apply_apply, affinity_unitClosedBall, ContinuousLinearMap.contDiffPointwiseHolderAt, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, ContDiffBump.normed_le_div_measure_closedBall_rOut, curveIntegralFun_refl, extChartAt_target_union_compl_range_mem_nhds_of_mem, Bundle.Trivial.vectorBundle, ContDiffMapSupportedIn.coe_smul, HasFPowerSeriesOnBall.comp_sub, Affine.Simplex.circumcenter_eq_affineCombination_of_pointsWithCircumcenter, PeriodPair.analyticOnNhd_derivWeierstrassPExcept, BoundedContinuousFunction.coe_posPart, UniformSpace.Completion.nnnorm_coe, MeasureTheory.BorelCantelli.predictablePart_process_ae_eq, AddCircle.ergodic_nsmul_add, ProbabilityTheory.iIndepSet.condExp_indicator_filtrationOfSet_ae_eq, MeasureTheory.integrable_prod, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, SchwartzMap.continuous, ProbabilityTheory.tendsto_integral_truncation, Orientation.volumeForm_zero_pos, ProbabilityTheory.tilted_mul_apply_eq_ofReal_integral_mgf', fourierIntegral_gaussian_pi, Real.Angle.cos_add_pi, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, hasSum_mellin, Affine.Simplex.affineSpan_faceOpposite_eq_orthRadius_insphere, Metric.diam_closedBall_eq, AnalyticAt.deriv, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, meromorphicOrderAt_add_eq_left_of_lt, ContinuousLinearEquiv.hasMFDerivAt, contDiffWithinAt_iff_contDiffOn_nhds, MeasureTheory.ConvolutionExistsAt.integrable_swap, SchwartzMap.laplacianCLM_eq', EuclideanGeometry.oangle_add_swap, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, norm_inner_eq_norm_iff, DomAddAct.vadd_Lp_add, MeasureTheory.condExp_mul_of_aestronglyMeasurable_right, Real.circleAverage_eq_circleIntegral, HasFiniteFPowerSeriesOnBall.eq_partialSum, integral_exp_mul_complex, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, meromorphicOrderAt_add, Quaternion.nnnorm_star, Real.Angle.cos_add_pi_div_two, MeasureTheory.charFunDual_prod, ContinuousLinearMap.measurable_apply₂, continuousOn_tangentCoordChange, EuclideanGeometry.Sphere.orthRadius_center, Real.Angle.two_nsmul_eq_zero_iff, preimage_extChartAt_eventuallyEq_compl_singleton, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, LinearIsometryEquiv.contDiff, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, SmoothBumpCovering.toSmoothPartitionOfUnity_apply, ContDiff.continuous_fderiv_apply, lp.hasSum_single, FiniteDimensional.RCLike.properSpace_submodule, AffineMap.hasDerivAt_lineMap, ProbabilityTheory.Kernel.martingale_densityProcess, Real.Angle.coe_add, Function.hasTemperateGrowth_iff_isBigO, MeasureTheory.integral_smul, Complex.GammaIntegral_ofReal, TemperedDistribution.instContinuousFourier, mellinInv_eq_fourierIntegralInv, ContinuousMapZero.hasFiniteIntegral_of_bound, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, NNReal.natCast_natAbs, ContDiffOn.const_smul, MeasureTheory.Integrable.of_integral_ne_zero, Module.Basis.prod_addHaar, MonotoneOn.integral_le_sum_Ico, differentiableOn_dslope_of_notMem, derivWithin_congr_set', ZSpan.measureReal_fundamentalDomain, EuclideanGeometry.orthogonalProjection_apply', MeasureTheory.condExpIndSMul_empty, mdifferentiableAt_fst, SmoothPartitionOfUnity.contDiffAt_finsum, intervalIntegral.intervalIntegral_pos_of_pos, isOpenEmbedding_stereographic_symm, Chebyshev.integral_one_div_log_sq_isBigO, MeasureTheory.charFun_eq_prod_iff, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, strictConvex_closedBall, mdifferentiableOn_iff_target, MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaar, EuclideanGeometry.Sphere.coe_secondInter, MeromorphicOn.fun_deriv, analyticOnNhd_snd, Orientation.measure_eq_volume, Complex.integral_exp_neg_rpow, isBigO_rpow_top_log_smul, MeasureTheory.SimpleFunc.nnnorm_approxOn_le, differentiableAt_star_iff, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, contMDiff_model, MeasureTheory.SignedMeasure.absolutelyContinuous_iff_withDensityᵥ_rnDeriv_eq, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', MeromorphicAt.sum, AffineMap.hasDerivWithinAt_lineMap, MDifferentiableOn.prodMk, ProbabilityTheory.analyticAt_mgf, ContDiff.continuous, TestFunction.coe_smul, has_fderiv_at_filter_real_equiv, aestronglyMeasurable_deriv, RightDerivMeasurableAux.differentiable_set_subset_D, unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.setIntegral_condExpInd, Real.circleAverage_fun_sum, ContinuousLinearMap.isPositive_def, integral_le_sum_mul_Ico_of_antitone_monotone, LipschitzWith.ae_lineDifferentiableAt, EuclideanGeometry.oangle_midpoint_rev_left, InnerProductGeometry.norm_add_eq_add_norm_of_angle_eq_zero, ContinuousLinearEquiv.hasMFDerivWithinAt, stereo_left_inv, ContinuousAlternatingMap.alternatizeUncurryFin_smul, integral_bernoulliFun_eq_zero, ContDiffOn.contMDiffOn, contDiffAt_map_inverse, tendsto_integral_exp_smul_cocompact, BoxIntegral.Integrable.to_subbox_aux, MeasureTheory.integral_comp_rpow_Ioi_of_pos, EisensteinSeries.summable_of_isBigO_rpow_norm, Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, Complex.dist_self_conj, Affine.Triangle.touchpoint_singleton_sbtw, SchwartzMap.toBoundedContinuousFunctionCLM_apply, curveIntegral_segment, TestFunction.postcompCLM_apply, MeasureTheory.MemLp.of_discrete, MDifferentiableAt.prodMap', hasDerivAt_iff_tendsto_slope_left_right, MeasureTheory.edist_indicatorConstLp_eq_enorm, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, AddCircle.exists_norm_nsmul_le, OrthonormalBasis.coe_ofRepr, Submodule.starProjection_top', ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, MeasureTheory.Integrable.tendsto_ae_condExp, Orientation.rotation_symm, NormedAddGroupHom.completion_sub, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, OrthonormalBasis.toBasis_mulOpposite, Submodule.adjoint_subtypeL, eventually_riemmanianEDist_lt, MeasureTheory.convolutionExistsAt_flip, Metric.isPreconnected_closedEBall, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, AnalyticWithinAt.prod, OpenPartialHomeomorph.extend_image_target_mem_nhds, Affine.Simplex.exradius_map, InnerProductSpace.HarmonicAt.eventually, LinearMap.isSymmetric_adjoint_mul_self, UpperHalfPlane.contMDiff_inv_denom, Asymptotics.isLittleO_const_id_cobounded, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, FiniteDimensional.of_locallyCompact_manifold, hasMFDerivWithinAt_extChartAt, LinearIsometry.equivRange_apply_coe, Orientation.oangle_eq_zero_iff_sameRay, MeasureTheory.Submartingale.add_martingale, Submodule.reflection_orthogonalComplement_singleton_eq_neg, PadicInt.coe_addChar_of_value_at_one, ContinuousLinearEquiv.comp_fderiv, derivWithin.neg, MonotoneOn.memLp_of_measure_ne_top, Complex.orthonormalBasisOneI_repr_apply, ContMDiffAt.prodMap, ContDiffAt.fderiv_right, analyticOn_log, AnalyticOn.compContinuousLinearMap, MeasureTheory.convolution_def, contMDiffWithinAt_pi_space, Affine.Triangle.dist_circumcenter_reflection_orthocenter, MeasureTheory.norm_condExpL2_coe_le, ContinuousMultilinearMap.curryLeft_norm, CPolynomialAt.eventually_cpolynomialAt, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, IsometryEquiv.coe_toRealAffineIsometryEquiv, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, contDiff_update, InnerProductSpace.trace_rankOne, ContDiffBump.hasCompactSupport, HasFPowerSeriesOnBall.differentiableOn, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, BoxIntegral.Integrable.toBoxAdditive_apply, MeasureTheory.Submartingale.smul_nonneg, deriv.neg, ContinuousMultilinearMap.uncurry0_norm, Metric.isPathConnected_closedEBall, circleIntegral.integral_add, HasFPowerSeriesWithinOnBall.prod, NormedSpace.normalize_smul, analyticOnNhd_log, MeasureTheory.integrable_withDensity_iff_integrable_smul', ContMDiffVectorBundle.continuousLinearMap, Orientation.angle_eq_iff_oangle_eq_or_sameRay, NormedSpace.eq_iff_forall_dual_eq, mdifferentiableAt_totalSpace, MeasureTheory.eLpNorm'_congr_norm_ae, ContinuousLinearEquiv.integral_comp_comm, Real.fourierIntegralInv_comp_linearIsometry, MeasureTheory.aestronglyMeasurable_condExpL1, deriv_zero, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, Bundle.Trivial.linearMapAt_trivialization, mdifferentiableOn_fst, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, ProbabilityTheory.iteratedDeriv_mgf, mdifferentiable_mulInvariantVectorField, isAddFundamentalDomain_Ioc, MeasureTheory.HasFiniteIntegral.of_finite, hasStrictDerivAt_const_add_iff, iteratedFDeriv_const_smul_apply, SchwartzMap.delta_apply, InnerProductGeometry.angle_eq_zero_iff, Affine.Simplex.abs_inner_vsub_altitudeFoot_lt_mul, ProbabilityTheory.tilted_mul_apply_eq_ofReal_integral_mgf, isBoundedBilinearMap_compMultilinear, ContinuousLinearEquiv.comp_right_fderiv, AnalyticAt.smul, SchwartzMap.norm_fourier_toL2_eq, hasLineDerivAt_smul_iff, Submodule.isIdempotentElem_starProjection, norm_cauchyPowerSeries_le, differentiableOn_finCons', MeasureTheory.Lp.boundedContinuousFunction_topologicalClosure, Orientation.rotation_map, MeasureTheory.Lp.SecondCountableTopology, sum_mul_eq_sub_integral_mul', ProbabilityTheory.Kernel.setIntegral_densityProcess_of_le, Orientation.oangle_rotation_left, Real.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, SchwartzMap.instFourierPair, hasFDerivAt_norm_rpow, derivWithin_ofNat, Asymptotics.isEquivalent_zero_iff_eventually_zero, dist_birkhoffAverage_apply_birkhoffAverage, nnnorm_zpow_le_mul_norm, ContDiffMapSupportedIn.hasCompactSupport, mellinInv_eq_fourierInv, UniqueMDiffOn.uniqueMDiffOn_target_inter, ZSpan.repr_ceil_apply, contDiff_prodMk_right, MeasureTheory.Measure.addHaar_preimage_continuousLinearMap, HasFPowerSeriesOnBall.uniform_geometric_approx, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ProperCone.innerDual_zero, contDiffOn_fst, mdifferentiableOn_prod_module_iff, contMDiffAt_iff_source_of_mem_source, Affine.Simplex.excenterWeights_reindex, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ZLattice.comap_equiv_apply, EuclideanGeometry.collinear_of_angle_eq_zero, sameRay_iff_of_norm_eq, MeasureTheory.Lp.instCompleteSpace, Metric.exists_smooth_forall_closedBall_subset, ContinuousLinearMap.analyticAt, ContDiff.prodMap, iteratedFDeriv_succ_const, contDiffWithinAt_zero, SmoothBumpFunction.support_eq_inter_preimage, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, ZLattice.FG, MeasureTheory.Martingale.add, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, MeasureTheory.Lp.instFourierPair, fourier_gaussian_innerProductSpace', ContDiffAt.iteratedFDeriv_right, dist_affineCombination_lt_of_strictConvexSpace, VectorFourier.fourierIntegral_const_smul, InnerProductGeometry.cos_angle, continuousWithinAt_dslope_of_ne, HasFTaylorSeriesUpToOn.cont, measurable_deriv, NormedAddGroupHom.completion_coe, Real.fourier_real_eq, Affine.Simplex.ExcenterExists.isTangentAt_touchpoint, differentiableAt_apply, intervalIntegral.integral_lt_integral_of_continuousOn_of_le_of_exists_lt, MeasureTheory.L1.integral_def, Affine.Simplex.inradius_reindex, FormalMultilinearSeries.hasSum, ContinuousLinearMap.IsPositive.conj_adjoint, BoundedContinuousFunction.Lp_nnnorm_le, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, Matrix.toEuclideanCLM_toLp, DomMulAct.edist_smul_Lp, EuclideanGeometry.preimage_inversion_perpBisector, hasSum_fourier_series_L2, CPolynomialOn.iteratedFDeriv, MeasureTheory.integrable_comp_div_iff, ContDiffWithinAt.prodMap, integral_cpow, ContinuousLinearMap.isPositive_id, FormalMultilinearSeries.coeff_eq_zero, ProbabilityTheory.iteratedDeriv_complexMGF, Diffeology.instIsDTopologyCompatible, ProbabilityTheory.covarianceBilin_zero, BoxIntegral.Integrable.cauchy_map_integralSum_toFilteriUnion, HasFPowerSeriesOnBall.sum, BoundedContinuousFunction.range_toLpHom, contDiffOn_stereoToFun, Affine.Simplex.incenter_mem_interior, Real.finrank_eq_int_finrank_of_discrete, Affine.Simplex.mongePoint_eq_affineCombination_of_pointsWithCircumcenter, MeasureTheory.condExp_mul_of_stronglyMeasurable_right, Units.instIsManifoldModelWithCornersSelf, AddCircle.ergodic_add_left, LeftInvariantDerivation.evalAt_coe, derivWithin_const_add, Unitary.coe_symm_linearIsometryEquiv_apply, Affine.Simplex.altitudeFoot_map, SchwartzMap.smulLeftCLM_fun_neg, HasFPowerSeriesOnBall.fderiv, analyticOnNhd_sigmoid, MDifferentiableAt.prodMk, LinearMap.adjoint_rTensor, Real.Angle.coe_coeHom, ZSpan.measure_fundamentalDomain, hasGradientAt_iff_isLittleO_nhds_zero, BoundedContinuousFunction.toLp_inj, LinearMap.IsPositive.add, ProbabilityTheory.integral_truncation_eq_intervalIntegral, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, ProbabilityTheory.condExpKernel_ae_eq_condExp', HilbertBasis.hasSum_orthogonalProjection, LinearMap.adjoint_inner_right, MeasureTheory.mem_lpMeas_indicatorConstLp, iteratedFDeriv_const_smul_apply', InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, PiLp.hasFDerivAt_toLp, stereoInvFun_apply, Isometry.mapsTo_perpBisector, analyticAt_smul, EuclideanGeometry.Cospherical.affineIndependent_of_ne, Diffeomorph.prodCongr_symm, Filter.EventuallyEq.hasDerivAt_iff, Manifold.IsImmersionAt.writtenInCharts, AnalyticWithinAt.continuousWithinAt, InnerProductSpace.rankOne_eq_zero, ProbabilityTheory.isGaussian_map_equiv_iff, Affine.Simplex.circumcenter_eq_point, Real.fourierIntegral_convergent_iff', BoxIntegral.Integrable.dist_integralSum_integral_le_of_memBaseSet, BoundedContinuousFunction.toLp_injective, MeasureTheory.Measure.addHaar_ball_center, denseRange_toCompl, hasDerivAt_deriv_iff, TensorProduct.ext_iff_inner_left_threefold', lp.singleAddMonoidHom_apply, Submodule.isOrtho_sSup_right, LinearIsometry.lTensor_apply, ClosedSubmodule.bot_orthogonal_eq_top, ContinuousAlternatingMap.norm_curryLeft, extChartAt_target_mem_nhdsWithin_of_mem, InnerProductGeometry.cos_angle_mul_norm_mul_norm, MeasureTheory.integral_indicatorConstLp, MeasureTheory.Measure.toSphere_apply_univ, Submodule.norm_sq_eq_add_norm_sq_starProjection, MeasureTheory.charFunDual_eq_prod_iff, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, Real.nnnorm_nnratCast, ContDiff.fst', Real.fourier_comp_linearIsometry, MeasureTheory.Measure.integral_comp_smul, MeasureTheory.Lp.coeFn_compMeasurePreserving, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, InnerProductSpace.HarmonicOnNhd.add, ContDiff.continuous_fderiv, mdifferentiableAt_hom_bundle, MeasureTheory.integral_comap_eq_addEquivAddHaarChar_smul, setIntegral_withDensity_eq_setIntegral_smul₀', IsLocalFrameOn.mdifferentiableAt_of_coeff_aux, BoundedContinuousFunction.integrable, innerSL_inj, continuousAt_dslope_same, MeasureTheory.SimpleFunc.memLp_iff_finMeasSupp, MeasureTheory.condExpIndSMul_smul, hasDerivAt_add_const_iff, mdifferentiable_fst, LSeries_eq_mul_integral_of_nonneg, MeasureTheory.Measure.hausdorffMeasure_smul₀, ProbabilityTheory.analyticOnNhd_cgf, MeasureTheory.ae_ae_add_linearMap_mem_iff, real_inner_div_norm_mul_norm_eq_one_iff, SmoothBumpFunction.tsupport_subset_symm_image_closedBall, TensorProduct.ext_iff_inner_left_threefold, MDifferentiableAt.differentiableWithinAt_writtenInExtChartAt, MeasureTheory.lintegral_nnnorm_condExpL2_le, SmoothPartitionOfUnity.le_one, ContDiffPointwiseHolderAt.snd, EuclideanGeometry.oangle_eq_zero_iff_wbtw, MeasureTheory.Lp.compMeasurePreservingₗᵢ_apply_coe, ProbabilityTheory.IsCondKernelCDF.setIntegral, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', iteratedDeriv_const_smul, SchwartzMap.norm_fourierTransformCLM_toL2_eq, HasFPowerSeriesWithinAt.coeff_zero, TensorProduct.inner_lid_lid, OrthonormalBasis.toBasis_map, ContDiffMapSupportedIn.uniformSpace_eq_iInf, hasFDerivAt_apply, MeasureTheory.enorm_indicatorConstLp_le, MeasureTheory.Lp.norm_neg, TensorProduct.norm_comm, contDiffWithinAt_iff_of_ne_infty, AnalyticOnNhd.eval_linearMap, LinearIsometryEquiv.coe_toMeasurableEquiv, stereographic'_target, hasFTaylorSeriesUpToOn_pi', curveIntegral_segment_const, hasDerivWithinAt_one, deriv_comp_add_const, Memℓp.finset_sum, MeasureTheory.L1.integral_eq_setToL1, MeasureTheory.enorm_integral_le_lintegral_enorm, ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, ContinuousLinearMap.isPositive_toLinearMap_iff, Affine.Simplex.signedInfDist_apply_self, BoxIntegral.BoxAdditiveMap.volume_apply, AntitoneOn.integrableOn_isCompact, TangentBundle.trivializationAt_apply, exists_contMDiffMap_zero_one_nhds_of_isClosed, ProbabilityTheory.HasCondSubgaussianMGF.ae_condExp_le, intervalIntegral.integral_deriv_comp_mul_deriv', lp.singleContinuousAddMonoidHom_apply, Real.one_div_one_sub_hasFPowerSeriesOnBall_zero, ModelWithCorners.map_nhdsWithin_eq, ContDiffBump.normed_convolution_eq_right, MeasureTheory.Lp.nnnorm_neg, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, AddCircle.ergodic_add_right, modelWithCorners_prod_coe, OrthonormalBasis.tensorProduct_repr_tmul_apply', ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, contMDiffOn_pi_space, ContinuousLinearMap.derivWithin, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_left, BoxIntegral.integral_nonneg, IsPicardLindelof.lipschitzOnWith, ContinuousLinearMap.holder_smul_left, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, summable_of_ratio_test_tendsto_lt_one, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, IntervalIntegrable.absolutelyContinuousOnInterval_intervalIntegral, Bundle.TotalSpace.isManifold, isSymmSndFDerivAt_iff_iteratedFDeriv, hasDerivAtFilter_one, EuclideanGeometry.angle_add_const, IsHilbertSum.OrthogonalFamily, intervalIntegral.smul_integral_comp_mul_sub, Real.fourierInv_comp_linearIsometry, iteratedDerivWithin_smul_const, ContinuousLinearEquiv.differentiableAt, ProbabilityTheory.IsGaussian.charFun_eq', MeasureTheory.Lp.coeFn_smul, ContMDiffAt.mfderiv_const, ContDiffBumpBase.support, AnalyticOn.domDomCongr_iteratedFDeriv, smoothSheafCommRing.isUnit_stalk_iff, contMDiff_vectorSpace_iff_contDiff, OrthonormalBasis.sum_sq_norm_inner_right, ContDiff.continuous_zero, signedDist_zero, MeasureTheory.condExpL1CLM_indicatorConstLp, MeasureTheory.hasFiniteIntegral_iff_edist, hasDerivAt_ofNat, LinearIsometryEquiv.reflections_generate, mdifferentiableAt_snd, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, EulerSine.sin_pi_mul_eq, fderivWithin_sub_const, Submodule.map_orthogonal_equiv, Orientation.cos_oangle_add_left_of_oangle_eq_pi_div_two, mfderiv_prodMap, iteratedFDerivWithin_eq_equiv_comp, integral_exp_Iic, Chebyshev.primeCounting_eq_theta_div_log_add_integral, integral_mul_cexp_neg_mul_sq, Matrix.l2_opNNNorm_mulVec, aestronglyMeasurable_derivWithin_Ioi, MeasureTheory.integrable_comp, hasFDerivAt_prodMk_left, InformationTheory.integral_llr_add_sub_measure_univ_nonneg, lp.inner_single_right, IsContDiffImplicitAt.apply_implicitFunction, MeromorphicOn.fun_iterated_deriv, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, ClosedSubmodule.top_orthogonal_eq_bot, ContDiffWithinAt.const_smul, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, OpenPartialHomeomorph.continuousWithinAt_writtenInExtend_iff, AntitoneOn.memLp_top, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, MeasureTheory.eLpNorm'_neg, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_mul, SchwartzMap.norm_iteratedFDeriv_le_seminorm, ProbabilityTheory.covarianceBilinDual_zero, EuclideanGeometry.reflection_reflection, Submodule.norm_orthogonalProjection_apply_le, Affine.Simplex.ExcenterExists.sOppSide_excenter_point_iff, contDiff_bernoulliFun, Affine.Simplex.incenter_notMem_affineSpan_face, LinearMap.deriv, BoundedContinuousFunction.memLp_top, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, TensorProduct.norm_assoc, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet, EuclideanSpace.instIsManifoldSphere, TensorProduct.nnnorm_tmul, Affine.Triangle.affineSpan_pair_eq_orthRadius, OrthonormalBasis.starProjection_eq_sum_rankOne, MeasureTheory.tendsto_sum_indicator_atTop_iff, iteratedDerivWithin_const_smul_field, norm_fderiv_le_of_lipschitz, tendstoUniformlyOn_tsum, ContDiffMapSupportedIn.zero_on_compl', AnalyticOnNhd.continuous, MeasureTheory.L1.SimpleFunc.coe_negPart, hasFDerivWithinAt_finCons', MeasureTheory.integrableOn_Lp_of_measure_ne_top, InnerProductSpace.gramSchmidt_orthogonal, OpenPartialHomeomorph.continuousAt_extend, MeasureTheory.Lp.dist_eq_norm, ContDiffOn.continuousOn_zero, TangentBundle.coordChange_model_space, NormedSpace.normalize_smul_of_pos, ContinuousLinearMap.adjoint_inner_left, MeasureTheory.lintegral_enorm_of_nonneg, MeasureTheory.condExpInd_disjoint_union, MeasureTheory.Lp.coeFn_le, PointwiseConvergenceCLM.isInducing_inducingFn, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderiv, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, ValueDistribution.proximity_sum_top_le, circleAverage_log_norm_sub_const₀, Orientation.oangle_rotation_oangle_right, iteratedDerivWithin_sum, InnerProductSpace.gramSchmidt_pairwise_orthogonal, ProbabilityTheory.condIndepSet_iff, MeasureTheory.lintegral_comp_eq_lintegral_meas_le_mul_of_measurable, MeasureTheory.Lp.simpleFunc.add_toSimpleFunc, EuclideanGeometry.oangle_add_cyc3, MeasureTheory.Supermartingale.add_martingale, contDiffOn_abs, ProbabilityTheory.analyticAt_complexMGF, WeakFEPair.Λ₀_eq, AEMeasurable.const_inner, fdifferential_apply, HurwitzZeta.hurwitzEvenFEPair_zero_symm, CompactlySupportedContinuousMap.integrable, InnerProductSpace.AlgebraOfCoalgebra.mul_def, fderivWithin_const_add, MeasureTheory.Submartingale.add, UnitAddTorus.coeFn_mFourierLp, coe_ringEquiv_lpBCF, MeasureTheory.memLp_prod_iff, circleIntegral.integral_sub_zpow_of_undef, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, HasLineDerivWithinAt.smul, MeasureTheory.Measure.instIsFiniteMeasureElemSphereOfNatRealToSphere, FormalMultilinearSeries.apply_eq_pow_smul_coeff, EuclideanGeometry.image_inversion_perpBisector, FormalMultilinearSeries.le_radius_compContinuousLinearMap, SmoothBumpFunction.contMDiffAt, continuousMultilinearCurryFin0_symm_apply, MeasureTheory.setIntegral_condExpIndSMul, ContinuousLinearEquiv.integrable_comp_iff, Orientation.rightAngleRotation_symm, MeasureTheory.weightedSMul_empty, AnalyticWithinAt.add, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, OpenPartialHomeomorph.map_extend_symm_nhdsWithin, Affine.Simplex.mongePlane_def, Affine.Triangle.acuteAngled_iff_angle_lt, Orientation.oangle_add_oangle_rev, PeriodPair.weierstrassPExcept_eq_tsum, ContinuousLinearMap.IsPositive.isSymmetric, MeasureTheory.indicatorConstLp_univ, extChartAt_mem_closure_interior, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, UniqueMDiffWithinAt.bundle_preimage', Real.one_div_sub_hasFPowerSeriesOnBall_zero, FormalMultilinearSeries.compAlongComposition_bound, HasFiniteFPowerSeriesOnBall.comp_sub, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, ContMDiffMap.smul_comp, ContDiff.euclidean_dist, Trivialization.prod.isLinear, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, AnalyticWithinAt.differentiableWithinAt, intervalIntegral.integral_comp_add_mul, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, MeasureTheory.condExp_mul_of_aestronglyMeasurable_left, AnalyticAt.fun_smul, hasFTaylorSeriesUpToOn_top_iff', MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimage, MeasureTheory.setIntegral_rnDeriv_smul, inTangentCoordinates_eq, AnalyticAt.prod, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, hasFTaylorSeriesUpToOn_zero_iff, ProbabilityTheory.tilted_mul_apply_eq_ofReal_integral_cgf', signedDist_triangle_left, NormedAddGroupHom.extension_coe, Complex.IsExactOn.differentiableOn, TemperedDistribution.fourier_toTemperedDistributionCLM_eq, IsContMDiffRiemannianBundle.exists_contMDiff, sum_Ico_le_integral_of_le, Affine.Simplex.excenterExists_map, integral_sin_pow_mul_cos_pow_odd, MeasureTheory.Lp.norm_const_le, map_extChartAt_nhds_of_boundaryless, ModelWithCorners.prod_symm_apply, AnalyticAt.exists_ball_analyticOnNhd, MeasurableEmbedding.withDensity_ofReal_comap_apply_eq_integral_abs_deriv_mul', hasDerivAtFilter_add_const_iff, ContDiffMapSupportedIn.zero_on_compl, isBounded_iff_asymptoticCone_subset_singleton, LinearIsometry.extend_apply, ProbabilityTheory.instIsGaussianMapHSub, Matrix.exp_nsmul, MeasureTheory.tendsto_indicator_ge, InnerProductSpace.rank_rankOne, MeasureTheory.integrableOn_Ioi_comp_mul_left_iff, CPolynomialOn.continuous, integral_rpow_mul_exp_neg_mul_rpow, SmoothBumpCovering.sum_toSmoothPartitionOfUnity_eq, Submodule.isOrtho_top_left, contMDiff_snd, AnalyticWithinAt.eventually_analyticWithinAt, contMDiffAt_prod_iff, DiffContOnCl.const_smul, MeasureTheory.integral_image_eq_integral_abs_deriv_smul, tangentMap_prodSnd, ProbabilityTheory.integral_gaussianPDFReal_eq_one, VectorFourier.fourierIntegral_convergent_iff, extChartAt_preimage_mem_nhds, InnerProductSpace.toDual_apply_apply, Real.Angle.sub_coe_pi_eq_add_coe_pi, Affine.Simplex.vectorSpan_isOrtho_altitude_direction, MeasureTheory.eLpNorm_sub_comm, integral_exp_mul_I_eq_sinc, ContinuousLinearMap.adjointAux_apply, contMDiff_subtype_coe_Icc, ContinuousLinearMap.nonneg_iff_isPositive, MeasureTheory.Lp.coeFn_negPart_eq_max, Orientation.inner_rotation_pi_div_two_right, integral_comp_polarCoord_symm, Affine.Simplex.exsphere_reindex, coe_lpBCFₗᵢ, ContinuousAffineMap.norm_contLinear_le, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, FormalMultilinearSeries.changeOrigin_radius, AntitoneOn.intervalIntegrable, Real.Angle.sin_eq_iff_coe_eq_or_add_eq_pi, Submodule.linearEquiv_det_reflection, HasFPowerSeriesAt.comp_sub, AnalyticOn.pi, ProperCone.innerDual_singleton, MeasureTheory.SimpleFunc.memLp_iff, ExistsContDiffBumpBase.w_support, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_left, Submodule.IsOrtho.map, EuclideanGeometry.reflection_eq_self_iff, LinearIsometryEquiv.comp_differentiableOn_iff, InformationTheory.integral_klFun_rnDeriv, LinearIsometryEquiv.comp_differentiableAt_iff, differentiable_inner, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, VectorBundleCore.baseSet_at, MeasureTheory.IsFundamentalDomain.integrableOn_iff, HasLineDerivAt.tendsto_slope_zero_left, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, tendsto_nhds_iff_meromorphicOrderAt_nonneg, ContDiffWithinAt.continuousLinearMap_comp, intervalIntegral.abs_integral_mono_interval, VectorBundleCore.mem_trivChange_source, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, PeriodPair.meromorphic_derivWeierstrassP, derivWithin_const_smul_field, OrthonormalBasis.volume_parallelepiped, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, Submodule.toLinearMap_starProjection_eq_isComplProjection, hasStrictFDerivAt_finCons, integral_id, Affine.Simplex.altitudeFoot_mem_affineSpan, HasDerivAt.smul_const, TensorProduct.nnnorm_map, Module.Basis.ofZLatticeBasis_span, contDiff_const_smul, Orientation.oangle_rotation, ExistsContDiffBumpBase.u_int_pos, HasMFDerivAt.prodMap, SchwartzMap.integral_mul_laplacian_right_eq_left, WeakFEPair.h_feq', MeasureTheory.charFun_pi, MeasureTheory.weightedSMul_null, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, Submodule.sub_starProjection_mem_orthogonal, ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three, MeasureTheory.Measure.MeasureDense.indicatorConstLp_subset_closure, Module.Basis.addHaar_reindex, orthogonalBilin_innerₗ, Orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, tendstoUniformlyOn_tsum_nat, norm_deriv_le_of_lipschitzOn, dist_birkhoffAverage_birkhoffAverage, hasDerivAt_const, dslope_sub_smul_of_ne, deriv_add_const', Orientation.tan_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, ProbabilityTheory.evariance_eq_lintegral_ofReal, TemperedDistribution.fourierTransformInv_toTemperedDistributionCLM_eq, ProbabilityTheory.integral_condVar_add_variance_condExp, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', ContDiffWithinAt.norm_sq, Function.hasTemperateGrowth_norm_sq, fderiv_const_add, ProbabilityTheory.analyticOn_cgf, IsometryEquiv.map_midpoint, continuousOn_extChartAt, LinearIsometryEquiv.conjStarAlgEquiv_ext_iff, OrthonormalBasis.repr_apply_apply, MeasureTheory.eLpNorm_star, hasFDerivWithinAt_const_add_iff, iteratedDerivWithin_of_isOpen_eq_iterate, IsLocalFrameOn.mdifferentiableOn_of_coeff, UniformSpace.Completion.norm_toComplL, Real.zero_at_infty_fourierIntegral, ContDiffOn.differentiableOn, ProbabilityTheory.covarianceBilin_comm, intervalIntegral.integral_congr_codiscreteWithin, ProbabilityTheory.Kernel.tendsto_integral_density_of_monotone, Orientation.inner_rotation_pi_div_two_left, ContinuousMap.toLp_def, ContDiffAt.const_smul, Units.instLieGroupModelWithCornersSelf, ModelWithCorners.prod_source, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, iteratedDerivWithin_fun_const_smul_field, ImplicitFunctionData.map_nhds_eq, Matrix.l2_opNNNorm_conjTranspose, SchwartzMap.integral_bilin_fourier_eq, InformationTheory.klDiv_of_ac_of_integrable, Orientation.oangle_rotation_self_left, ContinuousLinearEquiv.contDiffPointwiseHolderAt, ContinuousMultilinearMap.analyticAt, ClosedSubmodule.orthogonal_eq_inter, contDiffWithinAtProp_self_source, Orientation.kahler_neg_orientation, FormalMultilinearSeries.radius_inv_eq_limsup, EuclideanGeometry.inner_pos_or_eq_of_dist_le_radius, mdifferentiableWithinAt_iff_image, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, AnalyticOnNhd.comp_sub, affinity_unitBall, OpenPartialHomeomorph.extend_coord_change_source_mem_nhdsWithin', EisensteinSeries.D2_inv, hasFTaylorSeriesUpToOn_succ_iff_right, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, iteratedFDeriv_comp_add_left, ContinuousMultilinearMap.norm_map_init_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', ContinuousAlternatingMap.hasStrictFDerivAt, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.tsupport_lineDerivOp_subset, lp.coeFn_add, SmoothBumpFunction.ball_subset, OpenPartialHomeomorph.extend_coord_change_source_mem_nhdsWithin, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, TestFunctionClass.instBoundedContinuousMapClass, LinearIsometryEquiv.conjStarAlgEquiv_refl, MeasureTheory.HasFiniteIntegral.of_bounded, CurveIntegrable.fun_zero, ProbabilityTheory.analyticAt_cgf, InformationTheory.klDiv_def, MeasureTheory.L2.inner_indicatorConstLp_one, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', contDiff_nat_iff_iteratedDeriv, MeasureTheory.Lp.boundedContinuousFunction_dense, EuclideanGeometry.image_inversion_sphere_dist_center, MeasureTheory.Lp.constₗ_apply, MeasureTheory.Lp.coe_nnnorm, InnerProductSpace.volume_ball, EuclideanGeometry.orthogonalProjection_subtype, Real.Angle.sin_two_nsmul, iteratedFDeriv_neg_apply, circleIntegral.norm_two_pi_i_inv_smul_integral_le_of_norm_le_const, Submodule.coe_orthogonalDecomposition, VectorField.lieBracket_eq, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, hasMFDerivWithinAt_fst, differentiableAt_fst, ExistsContDiffBumpBase.u_exists, EuclideanGeometry.Sphere.sbtw_secondInter, contMDiff_iff_contDiff, Real.fourierIntegral_real_eq_integral_exp_smul, HasFPowerSeriesWithinOnBall.continuousOn, MeasureTheory.Lp.mem_boundedContinuousFunction_iff, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_2, NormedAddGroupHom.completion_add, Submodule.finrank_orthogonal_span_singleton, integral_exp_mul_I_eq_sin, InnerProductGeometry.inner_eq_neg_mul_norm_of_angle_eq_pi, MeasureTheory.integrable_comp_div_left, MeasureTheory.condExpIndSMul_add, ContinuousLinearMap.fpowerSeries_apply_add_two, Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, contMDiff_iff_target, LinearMap.isPositive_natCast, Affine.Triangle.sOppSide_affineSpan_pair_excenter_singleton_point, intervalIntegral.integral_eq_zero_iff_of_le_of_nonneg_ae, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, curveIntegralFun_cast, TensorProduct.toLinearEquiv_congrIsometry, WithLp.contDiff_toLp, MeasureTheory.Lp.norm_fourier_eq, AnalyticAt.analyticOrderAt_deriv_add_one, ContDiffWithinAt.smul, mdifferentiableOn_extChartAt_symm, dense_differentiableAt_norm, Orientation.inner_eq_norm_mul_norm_mul_cos_oangle, MeromorphicAt.iterated_deriv, normedAddGroupHomCompletionHom_apply, lowerClosure_interior_subset, AntitoneOn.sum_le_integral_Ico, Complex.one_add_cpow_hasFPowerSeriesAt_zero, Submodule.isOrtho_iSup_left, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, ContDiffBump.support_eq, ValueDistribution.proximity_add_top_le, iteratedFDerivWithin_comp_sub, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, Submodule.norm_subtypeL, ContDiff.norm_sq, AffineSubspace.closed_of_finiteDimensional, fourierCoeff.const_smul, MonotoneOn.intervalIntegral_deriv_mem_uIcc, Submodule.mem_orthogonal', ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, OnePoint.isZeroAt_iff_forall_SL2Z, contDiffAt_piLp', ContDiff.continuous_iteratedDeriv, MDifferentiableOn.prodMap, setIntegral_withDensity_eq_setIntegral_toReal_smul₀', hasFDerivAt_finCons', Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, OpenPartialHomeomorph.continuousOn_extend_symm, contDiffPointwiseHolderAt_iff, ContinuousLinearMap.IsStarNormal.orthogonal_range, contDiff_pi', IsContDiffImplicitAt.implicitFunction_apply, hasSum_cauchyPowerSeries_integral, SchwartzMap.coeFn_toLp, differentiableWithinAt_comp_sub, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, UpperHalfPlane.contMDiff_num, MeasureTheory.Supermartingale.integrable, SmoothPartitionOfUnity.sum_eq_one', OrthonormalBasis.sum_sq_inner_left, VectorField.mlieBracketWithin_def, UpperHalfPlane.mdifferentiable_denom, mdifferentiableAt_prod_module_iff, writtenInExtChartAt_model_space, LinearMap.toMatrix_innerₛₗ_apply, strictConvexSpace_iff, integral_sin_mul_cos₁, intervalIntegral.smul_integral_comp_sub_mul, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, MeasureTheory.Lp.norm_const', HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, SchwartzMap.coeHom_injective, MeasureTheory.norm_condExpIndL1_le, MeasureTheory.IsAddFundamentalDomain.integrableOn_iff, MeasureTheory.Measure.withDensityᵥ_absolutelyContinuous, Orientation.rightAngleRotation_map', TensorProduct.toLinearEquiv_commIsometry, EuclideanGeometry.oangle_midpoint_left, RCLike.wInner_one_eq_inner, contMDiffOn_extChartAt, MeasureTheory.eLpNorm_le_mul_eLpNorm_of_ae_le_mul, ProbabilityTheory.iCondIndepSets_singleton_iff, Real.integral_rpowIntegrand₀₁_one_pos, SchwartzMap.norm_toLp, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, ProbabilityTheory.isGaussian_iff_charFun_eq, Orientation.inner_rotation_pi_div_two_left_smul, Submodule.norm_sq_eq_add_norm_sq_projection, ContinuousAffineMap.contDiff, smul_sphere, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, ValueDistribution.logCounting_add_analyticOn, tangentCoordChange_comp, Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two, InnerProductGeometry.inner_eq_neg_mul_norm_iff_angle_eq_pi, OnePoint.isBoundedAt_iff, LinearIsometry.norm_iteratedFDeriv_comp_left, ProbabilityTheory.integral_truncation_eq_intervalIntegral_of_nonneg, Affine.Simplex.circumsphere_unique_dist_eq, Submodule.orthogonal_gc, swap_integral, fderiv_const_smul_of_invertible, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, HasFTaylorSeriesUpToOn.continuousLinearMap_comp, AffineMap.differentiableAt, hasStrictDerivAt_finCons', Trivialization.contMDiffOn_localFrame_baseSet, Asymptotics.isLittleO_id_one, Pi.enorm_single, integral_sin_pow_aux, ProbabilityTheory.instIsGaussianDirac, dist_iteratedFDerivWithin_zero, curveIntegral_restrictScalars, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, HasFPowerSeriesOnBall.hasSum, integral_comp_abs, ProbabilityTheory.setIntegral_stieltjesOfMeasurableRat, Submodule.starProjection_isSymmetric, MeasureTheory.Lp.smul_zero, ContDiffWithinAt.contDiffOn, Submodule.starProjection_apply, Real.Angle.two_nsmul_eq_iff_eq_of_abs_toReal_lt_pi_div_two, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, integral_div_sq_add_sq, HasFPowerSeriesWithinAt.pi, MeasureTheory.Measure.addHaar_parallelepiped, MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', SmoothPartitionOfUnity.mem_finsupport, VonNeumannAlgebra.mem_carrier, Continuous.inner_bundle, MemHolder.add, Real.Wallis.W_eq_integral_sin_pow_div_integral_sin_pow, MeasureTheory.hasFiniteIntegral_neg_iff, differentiableOn_fun_neg_iff, hasStrictDerivAt_finCons, DomMulAct.mk_smul_indicatorConstLp, EuclideanGeometry.preimage_inversion_sphere_dist_center, MeasureTheory.norm_condExpInd_apply_le, ImplicitFunctionData.toPartialHomeomorph_coe, hasFTaylorSeriesUpTo_top_iff', MeasureTheory.hasFiniteIntegral_const, IsOpen.exists_contMDiff_support_eq, fderivWithin_iteratedFDerivWithin, Orientation.rotation_neg_orientation_eq_neg, rescale_to_shell, ProbabilityTheory.IndepFun.integral_fun_mul_eq_mul_integral, ContinuousLinearMap.rayleighQuotient_add, ContinuousMultilinearMap.contDiff, IsPicardLindelof.continuousOn_uncurry, hasFDerivAt_iff_tendsto, Orientation.eq_rotation_self_iff, VonNeumannAlgebra.centralizer_centralizer, mdifferentiable_iff, LinearMap.isSelfAdjoint_iff', MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, MeasureTheory.lintegral_ofReal_le_lintegral_enorm, ProbabilityTheory.sum_variance_truncation_le, Orientation.areaForm'_apply, VectorBundleCore.coe_coordChange, MeasureTheory.hausdorffMeasure_lineMap_image, contDiffAt_euclidean, MeasureTheory.condExp_stronglyMeasurable_mul_of_bound, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, AffineMap.lipschitzWith_of_finiteDimensional, mdifferentiableWithinAt_iff_differentiableWithinAt, eqOn_iteratedDerivWithin_cotTerm_upperHalfPlaneSet, Affine.Triangle.dist_orthocenter_reflection_circumcenter, iteratedDeriv_add, ODE.FunSpace.toContinuousMap_apply_eq_apply, TestFunctionClass.map_hasCompactSupport, intervalIntegral.integral_smul_measure, ContDiffPointwiseHolderAt.prodMk, isOpen_setOf_affineIndependent, tendsto_zero_of_meromorphicOrderAt_pos, signedDist_smul_of_pos, OnePoint.IsZeroAt.smul_iff, FormalMultilinearSeries.norm_compContinuousLinearMap_le, ContDiffWithinAt.prodMap', LinearMap.IsPositive.isSelfAdjoint, ContinuousLinearMap.bilinear_hasTemperateGrowth, Orientation.oangle_add_left_eq_arcsin_of_oangle_eq_pi_div_two, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, modelWithCorners_prod_coe_symm, differentiableOn_add_const_iff, MeasureTheory.Submartingale.stronglyMeasurable, Submodule.top_orthogonal_eq_bot, Submodule.fst_orthogonalDecomposition_apply, IsContDiffImplicitAt.implicitFunctionData_pt, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, DomAddAct.norm_vadd_Lp, Real.contDiff_fourierIntegral, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, Submodule.orthogonal_orthogonal_eq_closure, MeasureTheory.condExpL1_neg, AnalyticOn.const_smul, MeasureTheory.Lp.instTrivialStarSubtypeAEEqFunMemAddSubgroup, ContinuousLinearEquiv.nhds, ContDiffAt.derivWithin, Affine.Simplex.exradius_reindex, MonotoneOn.sum_le_integral_Ico, Submodule.smul_starProjection_singleton, Affine.Simplex.ninePointCircle_reindex, MeasureTheory.eLpNorm'_mono_ae, Finset.analyticOn_fun_sum, eqOn_dslope_slope, ProbabilityTheory.condExp_set_generateFrom_singleton, contMDiff_smul, VectorBundleCore.mem_source_at, MeasureTheory.L1.nnnorm_integral_le, trivializationAt_model_space_apply, ContinuousLinearMap.isUnit_iff_isUnit_toLinearMap, MeasureTheory.Measure.addHaar_real_closedBall', Orientation.inner_comp_rightAngleRotation, TensorProduct.ext_iff_inner_right, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, ContDiffOn.derivWithin, MeasureTheory.Lp.norm_smul_le, signedDist_lineMap_lineMap, contMDiffOn_continuousLinearMapCoordChange, LinearEquiv.isPositive_symm_iff, ContinuousMultilinearMap.curryFinFinset_apply_const, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, Module.Basis.exists_opNNNorm_le, Module.Basis.addHaar_def, aestronglyMeasurable_smul_const_iff, MeasureTheory.SimpleFunc.FinMeasSupp.integrable, MeasureTheory.isClosed_aestronglyMeasurable, InnerProductSpace.continuousLinearMapOfBilin_zero, contDiffOn_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, ProbabilityTheory.variance_eq_sub, OpenPartialHomeomorph.map_extend_nhds, OpenPartialHomeomorph.restrContDiff_target, intervalIntegral.inv_smul_integral_comp_sub_div, extChartAt_preimage_mem_nhdsWithin, SeparationQuotient.normedMk_eq_zero_iff, contMDiffOn_extChartAt_symm, ModelWithCorners.symm_map_nhdsWithin_range, extChartAt_target_mem_nhdsWithin', UniformConvexOn.convexOn, differentiableAt_comp_const_sub, Affine.Triangle.dist_div_sin_oangle_eq_two_mul_circumradius, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, AnalyticOn.smul, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, NumberField.Units.regOfFamily_of_isMaxRank, VectorPrebundle.pretrivialization_mem_atlas, Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_two, intervalIntegral.inv_mul_integral_comp_add_div, MeasureTheory.Lp.coeFn_sup, analyticAt_sigmoid, ContDiffOn.differentiableOn_one, Bundle.mdifferentiableWithinAt_proj, contDiffAt_norm, LinearMap.isPositive_sum, tendsto_integral_mul_one_add_inv_smul_sq_pow, Submodule.starProjection_norm_le, contDiffOn_euclidean, MeasureTheory.charFun_conv, HasGradientAt.hasFDerivAt, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, MeasureTheory.hasFiniteIntegral_const_iff_isFiniteMeasure, LinearMap.hasDerivWithinAt, IsLocalFrameOn.contMDiffOn, CStarMatrix.toCLM_apply_single, hasSum_two_pi_I_cauchyPowerSeries_integral, BoundedContinuousFunction.norm_integral_le_norm, meromorphicOrderAt_add_of_top_left, integral_sin_pow_even_mul_cos_pow_even, FormalMultilinearSeries.comp_id, differentiableWithinAt_star_iff, ContinuousMultilinearMap.hasStrictFDerivAt, Submodule.inner_orthogonalProjection_eq_of_mem_right, Submodule.reflection_reflection, ContDiffOn.differentiableOn_iteratedDerivWithin, fderivWithin_comp_smul_eq_fderivWithin_smul, sameRay_iff_norm_add, ProbabilityTheory.Kernel.setIntegral_density_of_measurableSet, Function.HasTemperateGrowth.add, signedDist_vadd_left_swap, Submodule.isOrtho_iff_le, MeasureTheory.condExp_smul, hasFTaylorSeriesUpTo_succ_nat_iff_right, OpenPartialHomeomorph.contDiffOn_univUnitBall_symm, iteratedFDeriv_add, sum_mul_Ico_le_integral_of_monotone_antitone, eqOn_iteratedDeriv_cotTerm, MeasureTheory.Lp_toLp_restrict_add, hasFDerivWithinAt_piLp, MeasureTheory.norm_weightedSMul_le, extChartAt_preimage_mem_nhds', ProbabilityTheory.meas_ge_le_variance_div_sq, differentiableOn_piLp, contMDiffWithinAt_extChartAt_symm_range_self, ClosedSubmodule.iInf_orthogonal, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, Orientation.rotation_zero, ValueDistribution.characteristic_add_top_eventuallyLE, HasFiniteFPowerSeriesOnBall.differentiableOn, MeasureTheory.eLpNormEssSup_le_of_ae_bound, HasFPowerSeriesOnBall.neg, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, VectorBundle.continuousOn_coordChange', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ZSpan.coe_floor_self, ContinuousLinearMap.mfderiv_eq, hasFDerivAt_const_add_iff, Antitone.locallyIntegrable, OrthonormalBasis.equiv_self_rfl, EuclideanGeometry.OrthocentricSystem.affineIndependent, SchwartzMap.fourierInv_lineDerivOp_eq, Affine.Simplex.touchpointWeights_reindex, curveIntegralFun_trans_of_half_lt, Metric.isPreconnected_eball, EuclideanGeometry.Sphere.secondInter_smul, ContDiffMapSupportedIn.tsupport_subset, InnerProductSpace.harmonicAt_comp_CLE_iff, InnerProductSpace.coe_gramSchmidtBasis, MeasureTheory.integral_charFun_Icc, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, strongConcaveOn_iff_convex, Filter.tendsto_cocompact_cocompact_of_norm, iteratedFDeriv_eq_equiv_comp, Affine.Simplex.height_map, Submodule.reflection_inv, ProbabilityTheory.Kernel.tendsto_integral_density_of_antitone, ModelWithCorners.continuousWithinAt, ContDiffWithinAt.dist, sum_mul_eq_sub_integral_mul₀', MeasureTheory.condExpIndL1_smul, UnitAddTorus.orthonormal_mFourier, Complex.dist_of_im_eq, ZLattice.module_free, ProbabilityTheory.moment_truncation_eq_intervalIntegral_of_nonneg, ProbabilityTheory.isGaussian_map, instIsZLatticeRealSpan, Affine.Simplex.orthogonalProjection_circumcenter, ContinuousMap.toLp_norm_eq_toLp_norm_coe, MDifferentiableWithinAt.prodMk, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, Fourier.fourierIntegral_const_smul, hasDerivAtFilter_iff_isLittleO, CStarMatrix.toCLM_apply_eq_sum, MeasureTheory.mul_le_integral_rnDeriv_of_ac, intervalIntegral.inv_mul_integral_comp_sub_div, MeromorphicAt.eventually_continuousAt, EulerSine.integral_sin_mul_sin_mul_cos_pow_eq, OpenPartialHomeomorph.extend_symm_preimage_inter_range_eventuallyEq_aux, Submodule.norm_starProjection, OpenPartialHomeomorph.continuousOn_writtenInExtend_iff, BoundedContinuousFunction.coe_sup, contMDiffWithinAt_iff_target_of_mem_source, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, FormalMultilinearSeries.isLittleO_one_of_lt_radius, Function.Periodic.tendsto_atBot_intervalIntegral_of_pos', Meromorphic.fun_smul, Bundle.contMDiffWithinAt_totalSpace, MeasureTheory.weightedSMul_add_measure, Unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.Measure.NullMeasurableSet.const_smul, mdifferentiableOn_iff_of_subset_source, Filter.EventuallyEq.derivWithin_eq, contMDiffWithinAt_iff_source_of_mem_maximalAtlas, ContDiff.comp_continuousLinearMap, HasFiniteFPowerSeriesAt.eventually_zero_of_bound_zero, Orientation.oangle_neg_left, ContDiffMapSupportedIn.locallyConvexSpace, hasFDerivWithinAt_comp_smul_smul_iff, MeasureTheory.SimpleFunc.memLp_top, MeasureTheory.continuous_integral_integral, fourierCoeff_toLp, Orientation.oangle_rotation_oangle_left, ContinuousLinearMap.rayleighQuotient_le_norm, OrthonormalBasis.det_to_matrix_orthonormalBasis, differentiableAt_const_add_iff, ProbabilityTheory.hasDerivAt_complexMGF, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, intervalIntegral.integral_mono_ae, LinearMap.isPositive_toContinuousLinearMap_iff, ProbabilityTheory.IsGaussian.charFunDual_eq, LinearIsometryEquiv.analyticWithinAt, coe_fourierBasis, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', HasFPowerSeriesAt.apply_eq_zero, iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, TangentBundle.trivializationAt_source, norm_inner_eq_norm_tfae, Real.circleAverage_def, derivWithin_zero_of_notMem_closure, curveIntegral_fun_add, ContDiffWithinAt.derivWithin, iteratedDeriv_vcomp_three, intervalIntegral.integral_smul, ModularFormClass.qExpansion_coeff, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, CuspForm.coe_translate, Diffeomorph.coe_prodComm, ProbabilityTheory.covariance_eq_sub, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, MeasureTheory.condExp_def, Submodule.reflection_mul_reflection, AEMeasurable.inner, signedDist_vadd_right, UniqueDiffWithinAt.smul_iff, curveIntegral_fun_neg, InnerProductSpace.instIsContPerfPairRealInnerₗOfCompleteSpace, hasSum_sq_fourierCoeffOn, AnalyticAt.analyticOrderAt_eq_natCast, Real.circleAverage_mono_on_of_le_circle, not_sameRay_iff_of_norm_eq, differentiableAt_finCons, InnerProductSpace.gramSchmidt_triangular, HasFTaylorSeriesUpToOn.continuousOn, OpenPartialHomeomorph.restrContDiff_symm_apply, hasDerivAt_taylorWithinEval_succ, ProbabilityTheory.strong_law_aux6, Submodule.starProjection_map_apply, IsMIntegralCurveAt.hasMFDerivAt, MeasureTheory.tendsto_sum_indicator_atTop_iff', MemHolder.smul, LinearMap.star_eq_adjoint, MeasureTheory.lpMeasSubgroupToLpTrim_sub, Matrix.l2_opNNNorm_mul, NormedAddGroupHom.isClosed_ker, contDiffWithinAt_succ_iff_hasFDerivWithinAt', torusIntegral_const_mul, lp.ext_continuousAddMonoidHom_iff, Bundle.mdifferentiableOn_proj, contDiffOn_succ_iff_hasFDerivWithinAt, MeasureTheory.SimpleFunc.integrable_iff, fderivWithin_add_const, differentiableWithinAt_euclidean, HasSolidNorm.toTopologicalLattice, MeasureTheory.integral_prod_mul, intervalIntegral.integral_comp_div, contDiff_norm_sq, AddCircle.ergodic_nsmul, tendsto_integral_mulExpNegMulSq_comp, ContinuousLinearMap.sSup_sphere_eq_norm, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, intervalAverage_congr_codiscreteWithin, Polynomial.logMahlerMeasure_def, ModelWithCorners.mdifferentiableAt, FormalMultilinearSeries.radius_unshift, aestronglyMeasurable_derivWithin_Ici, MeasureTheory.locallyIntegrable_const, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, Orientation.oangle_sign_smul_left, ContDiffPointwiseHolderAt.continuousLinearMap_comp, TensorProduct.enorm_tmul, HasFPowerSeriesOnBall.tendstoUniformlyOn, contDiff_apply_apply, ProbabilityTheory.hasFPowerSeriesAt_mgf, Complex.integral_exp_neg_mul_rpow, ContinuousLinearMap.norm_inr, MeasureTheory.setAverage_eq, ImplicitFunctionData.implicitFunction_apply, CPolynomialAt.continuousAt, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, Submodule.starProjection_bot, ZSpan.isAddFundamentalDomain', continuousMultilinearCurryFin0_apply, ContDiff.inner, EuclideanGeometry.oangle_add_oangle_add_oangle_eq_pi, Affine.Simplex.touchpoint_mem_affineSpan, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, HasGradientAt.differentiableAt, ValueDistribution.logCounting_add_top_eventuallyLE, ModelWithCorners.nonempty_interior, ContDiffAt.hasStrictFDerivAt, Conformal.differentiable, FormalMultilinearSeries.radius_neg, ProbabilityTheory.Kernel.continuous_integral_integral, extDeriv_smul, EuclideanGeometry.oangle_eq_zero_or_eq_pi_iff_collinear, homeomorphUnitSphereProd_symm_apply_coe, DomMulAct.smul_Lp_neg, ProbabilityTheory.covarianceBilin_self_nonneg, Orientation.rightAngleRotation_rightAngleRotation, taylorWithinEval_succ, SchwartzMap.toBoundedContinuousFunction_apply, Submodule.orthogonal_closure, ProbabilityTheory.integral_linearMap_gaussianReal, MeasureTheory.Measure.exists_integral_isMulLeftInvariant_eq_smul_of_hasCompactSupport, TensorProduct.inner_assoc_assoc, ContinuousMultilinearMap.curryMidEquiv_apply, NormedAddGroupHom.completion_coe_to_fun, conformalAt_iff_isConformalMap_fderiv, StrictConvexSpace.strictConvex_closedBall, exists_msmooth_support_eq_eq_one_iff, Real.fourier_eq, ApproximatesLinearOn.lipschitz_sub, ContinuousMultilinearMap.iteratedFDeriv_eq, FormalMultilinearSeries.le_mul_pow_of_radius_pos, ZSpan.norm_fract_le, Complex.nndist_of_re_eq, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, Polynomial.Chebyshev.integral_eval_T_real_measureT_zero, Measurable.const_inner, iteratedDeriv_const_add, hasSum_mellin_pi_mul, MeasureTheory.integral_le_liminf_integral_of_forall_isOpen_measure_le_liminf_measure, MeasureTheory.L2.real_inner_indicatorConstLp_one_indicatorConstLp_one, ProbabilityTheory.condIndepSets_iff, fderiv_sub_const, ContinuousLinearMap.analyticOnNhd_bilinear, inner_vsub_vsub_right_eq_dist_sq_left_iff, MDifferentiableAt.mfderiv, ZSpan.fundamentalDomain_reindex, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, Orientation.oangle_sign_smul_add_smul_smul_add_smul, ProbabilityTheory.indepFun_iff_charFunDual_prod', le_radius_cauchyPowerSeries, Affine.Simplex.direction_mongePlane, integral_inv_of_neg, MeasureTheory.Measure.integral_comp_mul_left, AnalyticAt.analyticOrderNatAt_eq_iff, Real.ofReal_le_enorm, ProperCone.innerDual_union, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, ProbabilityTheory.iCondIndepSet_iff, LinearMap.le_def, Affine.Simplex.dist_point_centroid, tangentBundle_model_space_coe_chartAt_symm, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, iteratedFDerivWithin_succ_apply_left, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, Affine.Simplex.altitudeFoot_reindex, EuclideanGeometry.angle_const_add, SmoothPartitionOfUnity.coe_finsupport, SchwartzMap.fourier_evalCLM_eq, LatticeOrderedAddCommGroup.isSolid_ball, LinearIsometryEquiv.comp_differentiableWithinAt_iff, support_deriv_subset, tangentBundleModelSpaceHomeomorph_coe, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₂, LinearMap.adjoint_toSpanSingleton, OrthonormalBasis.coe_toBasis, ContDiff.differentiable_iteratedDeriv, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Affine.Simplex.affineCombination_eq_touchpoint_iff, RCLike.norm_nsmul, Emetric.exists_contMDiffMap_forall_closedBall_subset, MeasureTheory.stronglyAdapted_predictablePart', BoxIntegral.Integrable.sum_integral_congr, hasDerivWithinAt_natCast, hasMellin_one_Ioc, hasFDerivWithinAt_tangentCoordChange, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, Orientation.oangle_sign_smul_sub_left, ContinuousWithinAt.nhdsWithin_extChartAt_symm_preimage_inter_range, NormedAddGroupHom.opNorm_zero_iff, equivTangentBundleProd_symm_apply_snd, ContinuousLinearEquiv.analyticOn, MeasureTheory.Lp.simpleFunc.denseRange, SchwartzMap.hasFDerivAt, MeasureTheory.memL1_smul_of_L1_withDensity, analyticAt_iff_analytic_fun_smul, MeasureTheory.condExp_ae_eq_condExpL1, differentiableAt_piLp, ProbabilityTheory.integrable_comp_snd_map_prodMk_iff, Submodule.reflection_sub, differentiableWithinAtProp_self_source, TemperedDistribution.instLineDerivSMulReal, iteratedDeriv_comp_neg, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, SchwartzMap.evalCLM_apply_apply, Affine.Simplex.altitudeFoot_mem_altitude, MDifferentiableWithinAt.mfderivWithin, LinearIsometry.injective, Orientation.rotation_eq_self_iff_angle_eq_zero, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, ClosedSubmodule.mem_orthogonal, ProbabilityTheory.condVar_ae_le_condExp_sq, DiffContOnCl.smul_const, MeasureTheory.IsAddFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.condExpIndL1_smul', intervalIntegral.integral_comp_mul_deriv, MeasurableEquiv.withDensity_ofReal_map_symm_apply_eq_integral_abs_deriv_mul, MeasureTheory.Measure.toTemperedDistribution_apply, ProbabilityTheory.IdentDistrib.nnnorm, Complex.analyticOn_iff_differentiableOn, tendsto_integral_exp_smul_cocompact_of_inner_product, Real.nnnorm_two, WithLp.contDiff_ofLp, ProbabilityTheory.Kernel.setIntegral_densityProcess, SchwartzMap.instContinuousFourierInv, TangentBundle.chartAt, LinearMap.re_inner_adjoint_mul_self_nonneg, Diffeomorph.contDiff, differentiable_pi, contDiff_smul_const, HasFTaylorSeriesUpToOn.fderivWithin, CStarMatrix.toCLM_apply, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_affineIndependent, ContinuousLinearEquiv.hasFDerivWithinAt, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, BoxIntegral.integralSum_biUnionTagged, Orientation.oangle_rotation_right, Affine.Triangle.affineSpan_orthocenter_point_le_altitude, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, LinearMap.isPositive_self_comp_adjoint, EisensteinSeries.isBoundedAtImInfty_eisensteinSeries_SIF, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, differentiableAt_norm_smul, instModuleFinite_of_discrete_submodule, FiniteDimensional.of_locallyCompactSpace, contDiff_piLp, FormalMultilinearSeries.id_comp, circleIntegral.integral_smul, intervalIntegral.integral_eq_sub_of_hasDeriv_right_of_le_real, Trivialization.baseSet_continuousLinearMap, ContinuousLinearMap.norm_map_tail_le, AntitoneOn.integral_le_sum_Ico, Real.circleAverage_eq_integral_add, MeasureTheory.setIntegral_abs_condExp_le, HasFPowerSeriesAt.restrictScalars, contMDiffOn_symm_coordChangeL, tangentBundleCore_coordChange_model_space, intervalIntegral.inv_smul_integral_comp_div_sub, Module.Basis.prod_parallelepiped, Metric.exists_contMDiffMap_forall_closedBall_subset, ProbabilityTheory.IndepFun.integral_fun_comp_mul_comp, ContinuousLinearMap.instStarModuleId, IsLocalFrameOn.contMDiffAt, BoundedContinuousFunction.mem_Lp, ContDiff.smul_const, iteratedFDerivWithin_comp_add_right, EuclideanGeometry.Cospherical.affineIndependent, lp.coeFn_sum, contMDiffAt_hom_bundle, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, MeasureTheory.lpMeasSubgroupToLpTrim_right_inv, DoubleCentralizer.instIsCentralScalar, ContDiffAt.restrictScalars_iteratedFDeriv, exists_msmooth_zero_iff_one_iff_of_isClosed, ModelWithCorners.map_nhds_eq, LeftInvariantDerivation.map_add, BoundedContinuousFunction.Lp_norm_le, ProbabilityTheory.IsGaussian.memLp_dual, norm_fderiv_iteratedFDeriv, curveIntegralFun_neg, DomAddAct.vadd_Lp_ae_eq, MeasureTheory.Lp.norm_constL_le, meromorphicOrderAt_smul, ContMDiffOn.prodMap, ProbabilityTheory.covarianceBilinDual_self_nonneg, hasFDerivAtFilter_snd, ContMDiffRing.contMDiff_mul, hasFDerivAt_pow, ContDiffBump.measure_closedBall_le_integral, LinearIsometryEquiv.analyticOn, TemperedDistribution.fourier_lineDerivOp_eq, LinearIsometryEquiv.analyticAt, convexHull_sphere_eq_closedBall, contMDiff_prod_iff, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', Matrix.l2_opNNNorm_def, ProbabilityTheory.Kernel.integral_densityProcess, MeasureTheory.charFunDual_map_const_add, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, MeasureTheory.Integrable.integral_eq_integral_meas_le, extChartAt_target_eventuallyEq', MeasurableEmbedding.gaussianReal_comap_apply, hasDerivAtFilter_sub_const_iff, EuclideanGeometry.Sphere.IsTangentAt_of_angle_eq_pi_div_two, Real.Angle.sign_two_nsmul_eq_sign_iff, MeasureTheory.charFunDual_map_add_const, TemperedDistribution.fourier_delta_zero, ContinuousLinearMap.adjointAux_adjointAux, intervalIntegral.mul_integral_comp_add_mul, ImplicitFunctionData.differentiableAt_implicitFunction, PeriodPair.order_weierstrassP, Module.Basis.addHaar_eq_iff, FiberBundle.extChartAt, Orientation.inner_eq_zero_of_oangle_eq_neg_pi_div_two, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, MeasureTheory.Lp.simpleFunc.neg_toSimpleFunc, Orientation.rotation_trans, dslope_same, ext_iff_inner_left, Meromorphic.fun_add, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ZSpan.span_top, DomMulAct.norm_smul_Lp, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, contDiffOn_succ_iff_deriv_of_isOpen, ModularForm.coeHom_apply, analyticOrderAt_add_eq_right_of_lt, inner_lt_one_iff_real_of_norm_one, hasFDerivAt_single, LeftInvariantDerivation.coe_add, signedDist_lineMap_left, MeromorphicNFOn.Gamma, MeasureTheory.condExpL2_indicator_of_measurable, Orientation.continuousAt_oangle, ProbabilityTheory.covarianceBilin_real_self, Real.enorm_eq_ofReal_abs, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, LinearMap.eq_adjoint_iff, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le, MeasureTheory.Lp.add_smul, MeasureTheory.martingalePart_add_predictablePart, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, inner_self_eq_zero, OpenPartialHomeomorph.restrContDiff_source, ModularForm.slash_action_eq'_iff, PositiveLinearMap.gnsStarAlgHom_apply, SchwartzMap.tsupport_iteratedLineDerivOp_subset, MeasureTheory.integral_comp_rpow_Ioi, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, ContDiff.contMDiff, hasDerivAt_iff_tendsto_slope_zero, integral_univ_inv_one_add_sq, AEMeasurable.inner_const, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, SmoothPartitionOfUnity.sum_le_one', real_inner_le_one_of_norm_eq_one, OrthonormalBasis.tensorProduct_apply', EuclideanSpace.basisFun_repr, ImplicitFunctionData.hasStrictFDerivAt, DomAddAct.vadd_Lp_sub, ProbabilityTheory.indepFun_iff_charFun_prod, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, integral_exp_neg_rpow, mfderiv_prod_right, WeakFEPair.hf_zero, LinearIsometry.norm_toContinuousLinearMap_comp, AnalyticWithinAt.pi, BoundedContinuousFunction.coeFn_toLp, contDiffAt_apply, hasFiniteFPowerSeriesAt_const, MeasureTheory.IntegrableOn.finset, continuous_clm_apply, ContinuousLinearMap.hasTemperateGrowth, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, TestFunction.coe_add, InformationTheory.klDiv_eq_integral_klFun, Orientation.oangle_sub_right_smul_rotation_pi_div_two, OrthonormalBasis.sum_sq_norm_inner_left, LinearMap.isPositive_iff_complex, VectorFourier.fourierSMulRight_apply, ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, measurable_fderiv_apply_const, MeasureTheory.Lp.instContinuousVAddDomAddAct, MeasureTheory.Integrable.integral_eq_integral_meas_lt, stereographic_neg_apply, StrongConcaveOn.strictConcaveOn, integral_cexp_quadratic, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, MeasureTheory.Measure.addHaar_image_linearMap, MeasureTheory.withDensityᵥ_neg, MeasureTheory.tendsto_ae_condExp, isSelfAdjoint_starProjection, Affine.Simplex.sOppSide_excenter_singleton_point, InnerProductSpace.gramSchmidt_def', ProbabilityTheory.evariance_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Real.Angle.sin_add, ContinuousMultilinearMap.uncurryRight_apply, instIsRiemannianManifoldModelWithCornersSelfReal, WithLp.unitization_nnnorm_inr, OpenPartialHomeomorph.extend_preimage_mem_nhds, eventually_norm_symmL_trivializationAt_self_comp_lt, SchwartzMap.instContinuousMapClass, OrthonormalBasis.det_adjustToOrientation, MeasureTheory.condExpL1CLM_indicatorConst, integral_inv, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, SmoothBumpFunction.isClosed_image_of_isClosed, MeasureTheory.mem_lpMeasSubgroup_toLp_of_trim, MeromorphicAt.fun_deriv, NormedSpace.normalize_smul_of_neg, Complex.orthonormalBasisOneI_repr_symm_apply, ModelWithCorners.hasMFDerivWithinAt, tangentBundleCore_coordChange, derivWithin_comp_mul_left, SmoothPartitionOfUnity.sum_nonneg, MeasureTheory.L1.nnnorm_Integral_le_one, intervalIntegral.abs_integral_le_integral_abs, MeasureTheory.L1.SimpleFunc.integrable, derivWithin_zero_of_not_uniqueDiffWithinAt, curveIntegralFun_fun_zero, Real.one_div_one_sub_rpow_hasFPowerSeriesOnBall_zero, EuclideanGeometry.oangle_homothety, MeasureTheory.integral_fun_norm_addHaar, MeasureTheory.lpMeasSubgroupToLpTrim_add, Affine.Simplex.ExcenterExists.sOppSide_point_excenter_iff, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, IsContDiffImplicitAt.implicitFunctionData_rightFun_apply, MeasureTheory.L1.integral_eq_norm_posPart_sub, signedDist_anticomm, MeasureTheory.Lp.instContinuousFourierInv, dslope_of_ne, ZSpan.map, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, MeasureTheory.weightedSMul_smul, ContinuousLinearEquiv.norm_symm_pos, Submodule.sInf_orthogonal, norm_deriv_le_of_lipschitz, extChartAt_image_nhds_mem_nhds_of_boundaryless, UnitAddTorus.hasSum_mFourier_series_L2, OrthonormalBasis.inner_eq_zero, ContinuousMultilinearMap.cpolynomialAt, analyticAt_fst, Complex.dist_eq, Trivialization.continuousLinearMap_apply, MeasureTheory.Lp.norm_const, ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, TemperedDistribution.laplacian_eq_sum, MeasureTheory.eLpNorm_indicator_le_of_bound, Affine.Simplex.dist_circumcenter_eq_circumradius, curveIntegralFun_def', WithCStarModule.pi_inner, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, Orientation.areaForm_comp_rightAngleRotation, MeasureTheory.eLpNorm_neg, AnalyticAt.add, MeasureTheory.lpNorm_nsmul, Bundle.contMDiffWithinAt_proj, Submodule.isOrtho_span, MeasureTheory.lpMeasSubgroupToLpTrim_left_inv, contDiffOn_fderiv_coord_change, HasFPowerSeriesWithinAt.differentiableWithinAt, ZSpan.exist_unique_vadd_mem_fundamentalDomain, ContDiff.iterate_deriv, ZSpan.fundamentalDomain_subset_parallelepiped, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, ModelWithCorners.boundary_of_boundaryless_left, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, SmoothBumpFunction.isClosed_symm_image_closedBall, MeasureTheory.hausdorffMeasure_homothety_image, eq_lineMap_of_dist_eq_mul_of_dist_eq_mul, iteratedDerivWithin_const_smul, HasStrictDerivAt.smul_const, CurveIntegrable.refl, ContDiff.deriv', MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, LinearIsometryEquiv.contDiffPointwiseHolderAt_left_comp, ModelWithCorners.image_mem_nhdsWithin, HasFiniteFPowerSeriesOnBall.neg, derivWithin_intCast, ContinuousMapZero.norm_def, ProbabilityTheory.exponentialCDFReal_eq_integral, sum_mul_eq_sub_integral_mul₁, ContDiffAt.norm_sq, MeasureTheory.integral_comp, TemperedDistribution.instContinuousLineDeriv, ProbabilityTheory.iteratedDeriv_mgf_zero, ProbabilityTheory.moment_truncation_eq_intervalIntegral, PadicInt.continuous_addChar_of_value_at_one, norm_derivWithin_eq_norm_fderivWithin, differentiableWithinAt_dslope_of_ne, iteratedFDeriv_zero_apply, ContinuousLinearMap.le_def, hasGradientAt_iff_tendsto, AffineMap.derivWithin, Real.Angle.two_zsmul_eq_iff, contDiff_succ_iff_fderiv_apply, ProbabilityTheory.cdf_expMeasure_eq_integral, ProbabilityTheory.condExp_zero_or_one_of_measurableSet_limsup, coe_lpPiLpₗᵢ, MeasureTheory.rnDeriv_ae_eq_condExp, OpenPartialHomeomorph.contDiff_univBall, VectorBundleCore.localTriv_apply, SeparationQuotient.norm_liftNormedAddGroupHom_le, Orientation.oangle_add_cyc3, MeasureTheory.integrable_add_const_iff, MeasureTheory.Lp.simpleFunc.memLp, LinearMap.isPositive_zero, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, MeasureTheory.integrable_comp_mul_left_iff, fderiv_update, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, ContDiffOn.continuousOn_derivWithin, dist_add_dist_eq_iff, ValueDistribution.characteristic_sum_top_le, BoxIntegral.BoxAdditiveMap.toSMul_apply, ProbabilityTheory.IsGaussian.map_rotation_eq_self, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.Lp.instAddLeftMono, MeasureTheory.Measure.haarScalarFactor_eq_integral_div, CStarMatrix.mul_entry_mul_eq_inner_toCLM, EuclideanGeometry.Sphere.IsTangentAt.mem_and_mem_iff_eq, homeomorphSphereProd_symm_apply_coe, hom_trivializationAt, modelWithCornersSelf_prod, Bundle.contMDiffAt_totalSpace, Diffeomorph.uniqueDiffOn_image, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, EuclideanGeometry.collinear_iff_eq_or_eq_or_sin_eq_zero, MeasureTheory.integrable_tilted_iff, ContinuousLinearMap.norm_iteratedFDeriv_comp_left, ContinuousLinearMap.norm_uncurryMid, EuclideanGeometry.continuousAt_oangle, Real.Angle.two_nsmul_toReal_eq_two_mul_add_two_pi, MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, analyticWithinAt_fst, real_inner_self_nonpos, SchwartzMap.tendsto_cocompact, Complex.HadamardThreeLines.diffContOnCl_interpStrip, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, Real.Angle.sign_pi_add, hasFDerivAtFilter_fst, Submodule.isClosed_orthogonal, differentiableWithinAt_comp_add_right, EuclideanGeometry.Sphere.IsDiameter.sbtw, mellin_eq_fourierIntegral, HilbertBasis.orthonormal, Orientation.inner_rightAngleRotation_left, Orientation.cos_oangle_add_right_of_oangle_eq_pi_div_two, ContinuousLinearMap.holder_smul_right, HasFPowerSeriesOnBall.tendstoUniformlyOn', AffineSubspace.mem_perpBisector_iff_inner_eq_inner, Pretrivialization.continuousLinearMap.isLinear, SchwartzMap.instBoundedContinuousMapClass, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, InnerProductGeometry.angle_eq_angle_add_angle_iff, fderiv_apply_one_eq_deriv, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, integral_cos_pow_three, HasFTaylorSeriesUpToOn.compContinuousLinearMap, Measurable.nnnorm, WithLp.analyticOn_toLp, HasFPowerSeriesOnBall.sub, EuclideanGeometry.Sphere.IsTangent.infDist_eq_radius, SchwartzMap.integral_sesq_fourierIntegral_eq, EuclideanGeometry.angle_sub_const, MeromorphicAt.add, LSeries_eq_mul_integral, ContDiffAt.snd', contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.IsPositive.inner_nonneg_left, Real.fourierIntegral_eq', Real.circleAverage_fun_smul, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, MeasureTheory.L2.eLpNorm_inner_lt_top, LinearMap.adjoint_lTensor, OpenPartialHomeomorph.contDiffOn_restrContDiff_source, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, MeasureTheory.integrable_withDensity_iff_integrable_smul, ProbabilityTheory.paretoCDFReal_eq_integral, contDiffOn_piLp, BoxIntegral.integralSum_fiberwise, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, OrthonormalBasis.map_apply, LinearMap.toMatrixOrthonormal_apply, hasFPowerSeriesOn_cauchy_integral, Metric.diam_ball_eq, MeasureTheory.condExpL1CLM_lpMeas, measurableSet_of_differentiableAt, Module.Basis.coe_parallelepiped, Submodule.isSymmetricProjection_starProjection, UpperHalfPlane.contMDiff_denom_zpow, AntitoneOn.memLp_of_measure_ne_top, Complex.circleIntegral_div_sub_of_differentiable_on_off_countable, SmoothBumpCovering.exists_finset_toSmoothPartitionOfUnity_eventuallyEq, integral_one_div_of_pos, ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, EuclideanGeometry.inversion_def, InnerProductSpaceable.parallelogram_identity, LinearMap.IsPositive.smul_of_nonneg, Affine.Simplex.inner_vsub_altitudeFoot_vsub_altitudeFoot_eq_zero, ValueDistribution.characteristic_add_top_le, ProbabilityTheory.covarianceBilin_apply_pi, contDiff_add, ProbabilityTheory.deriv_mgf, MeasureTheory.Lp.mem_Lp_iff_memLp, curveIntegral_symm, SchwartzMap.integral_bilinear_laplacian_right_eq_left, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, iteratedDeriv_fun_const_smul_field, ExistsContDiffBumpBase.u_smooth, EuclideanSpace.inner_eq_star_dotProduct, ZLattice.covolume_eq_det_mul_measureReal, hasDerivWithinAt_const, AnalyticOnNhd.continuousOn, FormalMultilinearSeries.compAlongComposition_norm, map_extChartAt_nhds', intervalIntegral.intervalIntegral_pos_of_pos_on, intervalIntegral.integral_comp_sub_mul, Real.contDiff_fourier, MeasureTheory.hasFiniteIntegral_norm_iff, ContinuousLinearMap.isOpen_injective, MeasureTheory.eLpNorm_indicator_sub_indicator, mdifferentiableWithinAt_iff', ContDiff.continuous_iteratedFDeriv', ProbabilityTheory.condExpKernel_ae_eq_condExp, OrthonormalBasis.sum_repr_symm, homeomorphUnitSphereProd_apply_fst_coe, MeasureTheory.Supermartingale.stronglyMeasurable, MeasureTheory.unifTight_iff_ennreal, Real.Angle.two_nsmul_eq_pi_iff, LeftInvariantDerivation.coe_neg, Trivialization.contMDiffOn_section_baseSet_iff, LipschitzWith.ae_differentiableAt, Real.nnnorm_abs, Orientation.kahler_apply_self, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, MeasureTheory.Lp.const_mem_Lp, Affine.Simplex.dist_circumcenter_eq_circumradius', EuclideanGeometry.Sphere.IsTangent.notMem_of_dist_lt, signedDist_triangle_right, UniqueMDiffOn.tangentBundle_proj_preimage, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, curveIntegral_refl, NormedSpace.exp_nsmul, Orientation.inner_smul_rotation_pi_div_two_right, OpenPartialHomeomorph.extend_target_eventuallyEq, ZSpan.instDiscreteTopologySubtypeMemSubmoduleIntSpanRangeCoeBasisRealOfFinite, HasFiniteFPowerSeriesOnBall.continuousOn, EuclideanGeometry.Sphere.IsIntTangentAt.wbtw, Complex.analyticOn_univ_iff_differentiable, Valued.integer.coe_span_singleton_eq_closedBall, Orientation.inner_eq_zero_of_oangle_eq_pi_div_two, UniformConcaveOn.concaveOn, differentiable_const_add_iff, Pi.orthonormalBasis.toBasis, LinearIsometry.map_starProjection, TangentBundle.continuousLinearMapAt_trivializationAt, contMDiffWithinAt_comp_projIcc_iff, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, fourierIntegral_gaussian_innerProductSpace, HasFTaylorSeriesUpToOn.add, le_analyticOrderAt_add, tangentBundle_model_space_chartAt, TangentBundle.mem_chart_target_iff, AnalyticWithinAt.continuousWithinAt_insert, EuclideanGeometry.Sphere.IsTangentAt.le_orthRadius, EuclideanGeometry.Sphere.isDiameter_of_angle_eq_pi_div_two, Real.circleAverage_smul, MeasurableEmbedding.withDensity_ofReal_comap_apply_eq_integral_abs_deriv_mul, MeasureTheory.integrable_comp_sub_left, IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, Submodule.inf_orthogonal, curveIntegral_trans, MeasureTheory.weightedSMul_union, mdifferentiableAt_iff_target_of_mem_source, abs_signedDist_eq_dist_iff_vsub_mem_span, InnerProductSpace.innerSL_norm, MeasureTheory.uniformIntegrable_average, HurwitzZeta.hurwitzOddFEPair_f₀, differentiableAt_fun_neg_iff, MeasureTheory.indicatorConstLp_add, SchwartzMap.le_seminorm, WithCStarModule.inner_single_right, Submodule.IsOrtho.le, Submodule.reflection_map, differentiableOn_neg_iff, MeasureTheory.Measure.addHaar_real_closedBall_center, ContDiffWithinAt.contDiffOn', ModelWithCorners.continuous_toFun, Metric.isConnected_closedBall, SchwartzMap.eLpNorm_le_seminorm, EuclideanGeometry.Concyclic.Coplanar, Affine.Simplex.ExcenterExists.isTangentAt_exsphere_iff_eq_touchpoint, InnerProductSpace.span_gramSchmidt_Iic, UpperHalfPlane.petersson_slash_SL, Submodule.det_reflection, DomAddAct.vadd_Lp_neg, ContinuousLinearMap.measurable_apply, deriv_zero_of_frequently_const, Orientation.kahler_rotation_left', MeasureTheory.Measure.addHaar_affineSubspace, MeasureTheory.Lp.simpleFunc.coeFn_le, MeasureTheory.setIntegral_rnDeriv_smul', FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, derivWithin_zero_of_not_accPt, InnerProductSpaceable.to_uniformConvexSpace, ContinuousAlternatingMap.curryLeft_same, ProbabilityTheory.Kernel.integral_density, ContinuousMultilinearMap.curryRight_apply, TensorProduct.inner_comm_comm, MeasureTheory.Lp.instFourierPairInv, Real.enorm_of_nonneg, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_pair, MeasureTheory.eLpNorm_const_smul_le, mdifferentiable_snd, Submodule.inner_orthogonalProjection_eq_of_mem_left, Affine.Simplex.pointsWithCircumcenter_point, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, intervalIntegral.integral_comp_mul_deriv''', HasFPowerSeriesOnBall.uniform_geometric_approx', intervalIntegral.smul_integral_comp_mul_left, Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, frontier_sphere', ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, eventually_norm_symmL_trivializationAt_comp_self_lt, ContinuousLinearMap.IsPositive.add, HasFPowerSeriesWithinOnBall.comp_sub, Filter.EventuallyEq.derivWithin_eq_of_mem, not_sameRay_iff_abs_lt_norm_sub, CPolynomialOn.deriv, MeasureTheory.HasFiniteIntegral.of_isEmpty, ProbabilityTheory.IsGaussian.integral_dual, Affine.Simplex.mongePoint_reindex, Complex.nnnorm_ofNat, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', uniformConcaveOn_zero, Filter.EventuallyEq.deriv_eq, Affine.Triangle.affineSpan_pair_eq_orthRadius_insphere, CurveIntegrable.fun_neg, Orientation.abs_areaForm_le, EuclideanGeometry.cospherical_or_collinear_of_two_zsmul_oangle_eq, ZLattice.exists_forall_abs_repr_le_norm, SummableLocallyUniformlyOn.of_locally_bounded_eventually, cot_pi_mul_contDiffWithinAt, IsOpen.exists_msmooth_support_eq_aux, MeasureTheory.memLp_pi_iff, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, AnalyticAt.iterated_deriv, Complex.continuousAt_arg_coe_angle, EuclideanGeometry.angle_homothety, MeasureTheory.Measure.addHaar_image_continuousLinearEquiv, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, mdifferentiableAt_prod_iff, ext_chart_model_space_apply, MDifferentiable.prodMk, InnerProductGeometry.angle_smul_smul, integral_log_sin_zero_pi, OpenPartialHomeomorph.extend_prod, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticWithinAt.comp_sub, MeasureTheory.Lp.simpleFunc.toLp_zero, Polynomial.Chebyshev.integral_eval_T_real_mul_eval_T_real_measureT, AnalyticOnNhd.deriv_of_isOpen, ModularForm.SL_slash_def, intervalIntegral.integral_pos_iff_support_of_nonneg_ae, CFC.log_pow', OpenPartialHomeomorph.contDiff_unitBallBall, differentiableAt_iff_comp_const_sub, Affine.Simplex.altitude_reindex, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral, ModelWithCorners.convex_range, ContDiffMapSupportedIn.postcompCLM_apply, LinearPMap.isSelfAdjoint_def, curveIntegrable_symm, contMDiffWithinAt_fst, DoubleCentralizer.coeHom_apply, ContinuousAlternatingMap.curryLeft_zero, signedDist_neg, IsContDiffImplicitAt.bijective, PeriodPair.coeff_weierstrassPSeries, eHolderNorm_nsmul, ProbabilityTheory.covarianceBilin_apply_basisFun, ContDiffBump.integral_normed_smul, ContMDiffFiberwiseLinear.hasGroupoid, exists_contMDiff_zero_iff_one_iff_of_isClosed, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ProbabilityTheory.instIsGaussianMapHAdd_1, Orientation.oangle_sign_smul_right, Bundle.contMDiffOn_proj, Orientation.normSq_kahler, contDiffWithinAtProp_self_target, ContinuousLinearEquiv.comp_right_differentiableOn_iff, UniformSpace.Completion.coe_toComplₗᵢ, hasGradientAt_iff_hasFDerivAt, Complex.nnnorm_nnratCast, MeasureTheory.Lp.coeFn_nonneg, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, ProbabilityTheory.condExpKernel_ae_eq_trim_condExp, curveIntegrable_neg_iff, integral_inv_sq_add_sq, BoundedContinuousFunction.coe_abs, ContMDiffWithinAt.prodMk, ProbabilityTheory.IndepFun.charFunDual_map_add_eq_mul, HasFPowerSeriesOnBall.tendsto_partialSum, writtenInExtChartAt_extChartAt, continuousAt_extChartAt_symm, MeasureTheory.nnnorm_indicatorConstLp_le, locallyFinsuppWithin.logCounting_divisor, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₁, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, DomMulAct.dist_smul_Lp, Bundle.contMDiff_proj, ProbabilityTheory.setIntegral_preCDF_fst, Submodule.reflection_orthogonal, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, contMDiffAt_iff_target_of_mem_source, HasFPowerSeriesOnBall.factorial_smul, MeasureTheory.Lp.instFourierInvAdd, HasFPowerSeriesWithinAt.prod, neg_one_le_real_inner_of_norm_eq_one, MeasureTheory.memLp_piLp_iff, VectorFourier.contDiff_fourierIntegral, ContMDiffMap.coe_smul, iteratedFDeriv_succ_apply_right, Submodule.isOrtho_top_right, FormalMultilinearSeries.leftInv_coeff_one, ODE.FunSpace.exists_forall_closedBall_funSpace_dist_le_mul, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, AnalyticOn.add, IsContDiffImplicitAt.eventually_implicitFunction_apply_eq, ContinuousLinearMap.hasMFDerivAt, TensorProduct.assocIsometry_apply, sameRay_iff_inv_norm_smul_eq, Matrix.toLin_conjTranspose, mdifferentiableOn_continuousLinearMapCoordChange, derivWithin_one, hasDerivAtFilter_intCast, fderiv_deriv, BoxIntegral.integral_smul, contMDiffOn_fst, Polynomial.sum_sq_norm_coeff_eq_circleAverage, hasFPowerSeriesAt_pi_iff, ContDiffBump.contDiff_normed, mfderivWithin_eq_fderivWithin, MeasureTheory.eLpNorm'_const_smul, MeasureTheory.Lp.coeFn_lpSMul, MeasureTheory.Submartingale.stronglyAdapted, ProbabilityTheory.integral_tilted_mul_eq_mgf, integral_rpow, TestFunction.tsupport_subset, hasDerivWithinAt_univ, LinearIsometryEquiv.hasFDerivAt, ContDiffBump.apply, MeasureTheory.Lp.simpleFunc.coeFn_zero, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, Orientation.oangle_sign_add_smul_left, HurwitzZeta.hurwitzOddFEPair_ε, ProbabilityTheory.iCondIndepSets_iff, differentiableAt_add_const_iff, MeasureTheory.UniformIntegrable.aestronglyMeasurable, ContinuousLinearEquiv.contDiffWithinAt_comp_iff, uniqueMDiffWithinAt_iff, VectorField.eventuallyEq_mpullback_mpullbackWithin_extChartAt, continuous_barycentric_coord, signedDist_vsub_self_rev, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, InformationTheory.toReal_klDiv_of_measure_eq, LinearIsometryEquiv.rTensor_apply, AnalyticAt.comp_sub, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, Orientation.neg_rotation_pi_div_two, InnerProductSpace.isStarProjection_rankOne_self, deriv_sub_const, coord_norm', ProperCone.relative_hyperplane_separation, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, contDiffAt_inner, LinearIsometry.integral_comp_comm, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, extChartAt_model_space_eq_id, MeasureTheory.condExpIndSMul_nonneg, tendstoUniformlyOn_tsum_of_cofinite_eventually, contDiff_clm_apply_iff, HasFPowerSeriesAt.hasFDerivAt, StrictConvex.linearIsometry_preimage, OrthonormalBasis.measurePreserving_repr_symm, lp.summable_inner, hasStrictFDerivAt_finCons', analyticAt_iff_analytic_smul, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, map_extChartAt_nhdsWithin, MeasureTheory.measureReal_abs_gt_le_integral_charFun, ModelWithCorners.continuousOn_symm, MeromorphicOn.sum, ClosedSubmodule.orthogonal_eq_top_iff, eventually_enorm_mfderiv_extChartAt_lt, UniformConcaveOn.strictConcaveOn, enorm_tangentSpace_vectorSpace, integral_exp_neg_Ioi, QuadraticMap.lineDifferentiableAt, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, contMDiffOn_prod_iff, MeasureTheory.Integrable.comp_fst_iff, PiLp.analyticOn_ofLp, OrthonormalBasis.enorm_eq_one, DifferentiableWithinAtProp_self, EuclideanGeometry.dist_reflection, signedDist_linear_apply, coe_addEquiv_lpBCF_symm, LeftInvariantDerivation.map_smul, Orientation.rotation_eq_matrix_toLin, FormalMultilinearSeries.zero_radius, oneTangentSpaceIcc_def, intervalIntegral.integral_const_of_cdf, dist_birkhoffSum_apply_birkhoffSum, MeasureTheory.ConvolutionExistsAt.add_distrib, IsSymmSndFDerivAt.iteratedFDeriv_cons, Orientation.inner_rightAngleRotation_swap, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, intervalIntegral.integral_const', MeasureTheory.L1.dist_def, InnerProductSpaceable.add_left, VectorPrebundle.totalSpaceMk_isInducing, Real.abs_circleAverage_le_circleAverage_abs, ContinuousLinearMap.comp_analyticOn, hasStrictDerivAt_const, ModelWithCorners.uniqueMDiffOn, NormedSpace.unbounded_univ, ModelWithCorners.hasMFDerivWithinAt_symm, Bundle.Trivial.trivialization.isLinear, ContinuousLinearMap.coeFn_compLpL, OpenPartialHomeomorph.extend_image_nhds_mem_nhds_of_boundaryless, stronglyMeasurable_deriv, StrongDual.norm_toLpₗ_le, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, CircleIntegrable.sum, hasFDerivWithinAt_euclidean, ClosedSubmodule.mem_orthogonal_iff, Orientation.oangle_sub_left_smul_rotation_pi_div_two, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, tangentConeAt_real_subset_isRCLikeNormedField, ProperCone.innerDual_insert, ProbabilityTheory.integral_truncation_le_integral_of_nonneg, range_deriv_subset_closure_span_image, Module.Basis.parallelepiped_eq_map, ContDiffMapSupportedIn.norm_apply_le_seminorm, integral_withDensity_eq_integral_toReal_smul, contDiffOn_clm_apply, SmoothPartitionOfUnity.sum_eq_one, MeasureTheory.Lp.instIsCentralScalar, ModelWithCorners.continuousAt, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_right, FormalMultilinearSeries.id_apply_zero, SchwartzMap.hasDerivAt, MeasureTheory.eLpNorm_lt_top_of_finite, MeasureTheory.tendsto_eLpNorm_condExp, Submodule.starProjection_orthogonal, OnePoint.IsBoundedAt.smul_iff, ContDiffBump.continuous, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, ContinuousLinearMap.instNonnegSpectrumClassRealId, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, Affine.Simplex.incenter_eq_affineCombination, integral_log, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, signedDist_self, iteratedDeriv_eq_iterate, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, fderiv_comp_add_right, MeasureTheory.L1.norm_integral_le, hasDerivAtFilter_iff_tendsto, integral_sqrt_one_sub_sq, Manifold.IsImmersionAt.prodMap, HasFPowerSeriesAt.eventually_differentiableAt, ModelWithCorners.continuous, Matrix.IsHermitian.eigenvectorUnitary_coe, Submodule.ClosedComplemented.of_finiteDimensional, IsManifold.prod, InnerProductSpace.HarmonicOnNhd.const_smul, circleAverage_log_norm_add_const_eq_posLog, ContinuousAffineMap.hasFDerivAtFilter, curveIntegrable_cast_iff, MeasureTheory.setIntegral_indicatorConstLp, Real.Gamma_eq_integral, signedDist_vsub_self, ModelWithCorners.continuousWithinAt_symm, EuclideanGeometry.inversion_mul, ContDiffOn.continuousLinearMap_comp, ODE.FunSpace.mem_closedBall, stereographic_target, ContDiff.smul, Unitary.norm_map, ProbabilityTheory.isGaussian_conv, LinearMap.instStarModuleId, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, Submodule.starProjection_apply_mem, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, VectorPrebundle.mem_trivialization_at_source, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, MeasureTheory.eLpNorm_mono_ae_real, TemperedDistribution.fourierTransform_apply, NormedAddGroupHom.ker_completion, MeasureTheory.convolution_lsmul_swap, Orientation.oangle_add_right_smul_rotation_pi_div_two, ProbabilityTheory.Kernel.continuous_integral_integral_comp, not_sameRay_iff_norm_add_lt, mdifferentiableAt_neg, HasFTaylorSeriesUpToOn.prodMk, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, isSeparable_range_deriv, ImplicitFunctionData.implicitFunction_apply_image, Orientation.inner_smul_rotation_pi_div_two_left, Submodule.orthogonal_closure', BoxIntegral.hasIntegral_const, ZLattice.volume_image_eq_volume_div_covolume, hasDerivAtFilter_finCons', MeasureTheory.Supermartingale.smul_nonpos, mfderivWithin_prodMap, LinearIsometry.toLinearMap_rTensor, SemiNormedGrp.completion_obj_str, ContDiffOn.norm_sq, MeasureTheory.eLpNorm_congr_norm_ae, PiLp.hasStrictFDerivAt_apply, ContinuousMap.toLp_injective, hasStrictFDerivAt_fst, intervalIntegral.inv_mul_integral_comp_div_sub, ModelWithCorners.continuous_symm, setIntegral_withDensity_eq_setIntegral_smul, UniqueMDiffOn.uniqueDiffOn_inter_preimage, Affine.Simplex.sOppSide_point_excenter_singleton, mdifferentiableWithinAt_iff_target_inter', PiLp.analyticOn_toLp, isConformalMap_complex_linear_conj, MeromorphicAt.meromorphicTrailingCoeffAt_smul, MeasureTheory.indicatorConstLp_sub, hasDerivWithinAt_finCons', mellin_comp_rpow, re_inner_self_pos, ContinuousAffineMap.hasFDerivAt, MeasureTheory.Submartingale.sum_smul_sub', deriv.fun_neg, AffineSubspace.mem_perpBisector_iff_dist_eq', support_iteratedFDeriv_subset, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, AnalyticOnNhd.deriv, instContMDiffInv₀ModelWithCornersSelf, Submodule.le_orthogonal_iff_le_orthogonal, fderiv_fun_neg, contMDiffOn_iff_source_of_mem_maximalAtlas, intervalIntegral.smul_integral_comp_mul_add, curveIntegral_zero, integral_log_from_zero_of_pos, Function.HasTemperateGrowth.fun_add, DomAddAct.edist_vadd_Lp, hasFDerivAt_comp_sub, LipschitzWith.locallyIntegrable_lineDeriv, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Affine.Simplex.ninePointCircle_center_mem_affineSpan, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, SmoothBumpCovering.embeddingPiTangent_injOn, contMDiffWithinAt_extChartAt_symm_target_self, MeasureTheory.L1.aemeasurable_coeFn, hasSum_mellin_pi_mul₀, LinearMap.IsPositive.isSymmetric, inner_eq_neg_one_iff_of_norm_eq_one, Real.Angle.continuous_coe, Submodule.mem_orthogonal, ContinuousAffineMap.norm_image_zero_le, EulerSine.integral_cos_pow_eq, exists_dual_vector', MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, FormalMultilinearSeries.apply_eq_prod_smul_coeff, EuclideanSpace.basisFun_inner, Orientation.kahler_rightAngleRotation_left, hasFPowerSeriesWithinAt_pi_iff, CircleIntegrable.const_fun_smul, tangentMap_chart_symm, UniqueMDiffWithinAt.bundle_preimage, MeasureTheory.eLpNorm_const_smul, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, ModelWithCorners.symm_map_nhdsWithin_image, hasDerivAt_iff_isLittleO_nhds_zero, SchwartzMap.tsupport_smulLeftCLM_subset, PadicInt.hasSum_mahler, InnerProductSpace.toMatrix_rankOne, MeasureTheory.integral_condExp_indicator, contMDiffAt_vectorSpace_iff_contDiffAt, eventually_norm_symmL_trivializationAt_lt, differentiableAt_comp_add_left, deriv_const, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, differentiableAt_euclidean, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, PeriodPair.hasFPowerSeriesOnBall_weierstrassP, AnalyticAt.fun_add, hasFDerivAtFilter_finCons, lp.inner_single_left, AffineSubspace.perpBisector_eq_top, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, contMDiffWithinAt_iff_contDiffWithinAt, iteratedFDeriv_smul_const_apply, MeasureTheory.Measure.addHaar_smul_of_nonneg, MeasureTheory.condExpIndL1Fin_disjoint_union, OrthonormalBasis.reindex_toBasis, Real.Angle.sin_eq_iff_eq_or_add_eq_pi, EuclideanGeometry.orthogonalProjection_mem, mdifferentiableOn_iff_of_mem_maximalAtlas', MeasureTheory.Lp.instIsBoundedSMul, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, Orientation.oangle_smul_right_of_neg, ContinuousMap.coe_toLp, Complex.enorm_exp_I_mul_ofReal, Real.fourierIntegral_convergent_iff, Manifold.IsImmersion.prodMap, Bundle.mdifferentiableWithinAt_zeroSection, CPolynomialOn.continuousOn, inner_eq_one_iff_of_norm_eq_one, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, Isometry.affineIsometryOfStrictConvexSpace_apply, ProbabilityTheory.Kernel.tendsto_setIntegral_densityProcess, Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two, LipschitzOnWith.ae_differentiableWithinAt_real, LeftInvariantDerivation.coe_smul, HasFPowerSeriesAt.deriv, integral_sin, HasFPowerSeriesWithinAt.continuousWithinAt_insert, PeriodPair.weierstrassPSeries_hasSum, LinearIsometryEquiv.symm_rTensor, DomMulAct.instIsIsometricSMulSubtypeAEEqFunMemAddSubgroupLp, uniqueMDiffWithinAt_iff_inter_range, mfderiv_snd, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, LinearMap.eq_adjoint_iff_basis, MeasureTheory.Lp.antitone, TensorProduct.commIsometry_symm, isStarProjection_starProjection, MeasureTheory.eLpNorm_norm_rpow, Function.hasTemperateGrowth_inner_left, MeasureTheory.integral_rnDeriv_smul, unitary.norm_map, Set.EqOn.iteratedFDerivWithin, ContinuousLinearEquiv.fderiv, fourierCoeff_eq_intervalIntegral, CStarAlgebra.conjugate_le_norm_smul', continuousOn_extChartAt_symm, SchwartzMap.tsupport_fderivCLM_subset, ContDiffAt.smul_const, exists_eq_const_mul_intervalIntegral_of_ae_nonneg, SeparatingDual.completeSpace_of_completeSpace_continuousLinearMap, ContinuousLinearEquiv.mdifferentiableWithinAt, ContinuousLinearMap.NonlinearRightInverse.right_inv', ContinuousLinearEquiv.mdifferentiable, AffineSubspace.midpoint_mem_perpBisector, AnalyticAt.exists_eq_sum_add_pow_mul, TangentBundle.trivializationAt_eq_localTriv, iteratedDerivWithin_comp_const_smul, ContinuousLinearMap.integral_comp_L1_comm, ContDiffWithinAt.continuousWithinAt, curveIntegralFun_add, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, ContinuousLinearMap.opNorm_zero_iff, Affine.Simplex.touchpoint_reindex, MeasureTheory.Measure.map_addHaar_smul, InnerProductSpace.gramSchmidt_def'', Real.le_integral_rpowIntegrand₀₁_one, bilinFormOfRealInner_orthogonal, OrthonormalBasis.equiv_symm, AnalyticOnNhd.fderiv, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_two, PMF.integral_eq_sum, AnalyticAt.exists_mem_nhds_analyticOnNhd, analyticWithinAt_sigmoid, circleIntegral.integral_sub_zpow_of_ne, hasDerivAt_intCast, EuclideanGeometry.inner_weightedVSub, SeparationQuotient.nnnorm_mk, Orientation.kahler_rotation_left, LindemannWeierstrass.integral_exp_mul_eval, ProbabilityTheory.variance_le_expectation_sq, MeasureTheory.Integrable.withDensityᵥ_trim_eq_integral, writtenInExtChartAt_extChartAt_symm, SchwartzMap.smulLeftCLM_neg, intervalIntegral.inv_smul_integral_comp_div, analyticOn_sigmoid, EuclideanGeometry.Sphere.center_mem_orthRadius_iff, LSeries.iteratedDeriv_alternating, mdifferentiable_addInvariantVectorField, ContinuousLinearEquiv.comp_differentiableAt_iff, MeasureTheory.integral_fin_nat_prod_eq_prod, EuclideanGeometry.collinear_of_sin_eq_zero, deriv_one, OrthonormalBasis.orthonormal_adjustToOrientation, MeasureTheory.L1.measurable_coeFn, MeasureTheory.Measure.integral_isMulLeftInvariant_eq_smul_of_hasCompactSupport, MeasureTheory.aestronglyMeasurable_condExpL1CLM, Affine.Simplex.ExcenterExists.excenter_mem_affineSpan_range, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, iteratedFDeriv_succ_eq_comp_right, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, ValueDistribution.logCounting_sum_top_eventuallyLE, ContinuousMultilinearMap.changeOriginSeries_support, ContDiffBump.integral_le_measure_closedBall, ContinuousLinearEquiv.comp_hasFDerivAt_iff', WeakFEPair.functional_equation₀, SchwartzMap.inner_fourierTransformCLM_toL2_eq, MeasureTheory.SimpleFunc.setToSimpleFunc_zero, CPolynomialOn.add, curveIntegralFun_sub, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, inner_map_self_eq_zero, ContDiffAt.prodMap', FormalMultilinearSeries.isLittleO_of_lt_radius, tsupport_iteratedFDeriv_subset, nhdsWithin_extChartAt_target_eq_of_mem, MeasureTheory.continuous_integral, iteratedDerivWithin_fun_sum, MemHolder.nnHolderNorm_nsmul, aemeasurable_withDensity_iff, Real.zero_at_infty_fourier, Orientation.inner_sq_add_areaForm_sq, ContinuousMultilinearMap.hasFDerivAt, intervalIntegral.integral_nonneg_of_ae_restrict, signedDist_smul_of_neg, MeasureTheory.Lp.simpleFunc.isBoundedSMul, enorm_norm, nnnorm_norm, MeasureTheory.lpNorm_const_smul, differentiableOn_euclidean, mdifferentiableWithinAt_iff_of_mem_source', hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, Real.hasFPowerSeriesOnBall_linear_zero, Real.Angle.coe_nsmul, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, MeasureTheory.Lp.coe_posPart, circleIntegral.integral_smul_const, OrthonormalBasis.orthonormal, InnerProductSpace.mem_span_gramSchmidt, aemeasurable_deriv, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, VectorPrebundle.mem_base_pretrivializationAt, Set.instTietzeExtensionUnitClosedBall, mdifferentiableWithinAt_iff_source_of_mem_maximalAtlas, ContDiff.continuous_iteratedFDeriv, mdifferentiableOn_iff_differentiableOn, modelWithCorners_prod_toPartialEquiv, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, continuous_negPart, DiffContOnCl.continuousOn, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Affine.Triangle.orthocenter_mem_altitude, MeasureTheory.integrable_condExpL2_indicator, Polynomial.Chebyshev.integral_eval_T_real_measureT_of_ne_zero, iteratedFDeriv_comp_add_left', ProbabilityTheory.isPosSemidef_covarianceBilinDual, ImplicitFunctionData.range_rightDeriv, Metric.isPathConnected_closedBall, tangentCoordChange_self, toSpanSingleton_derivWithin, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq, fderiv_norm_smul, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, MeasureTheory.Lp.zero_smul, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, Real.Angle.sign_add_pi, SchwartzMap.integral_fourier_mul_eq, HasFiniteFPowerSeriesOnBall.eq_partialSum', mdifferentiableWithinAt_iff, LinearIsometry.enorm_toContinuousLinearMap, BoxIntegral.integrable_iff_cauchy_basis, coe_lpBCFₗᵢ_symm, setOf_riemannianEDist_lt_subset_nhds, range_mfderiv_coe_sphere, Real.Angle.toReal_add_of_sign_pos_sign_neg, eventually_riemannianEDist_le_edist_extChartAt, Complex.wedgeIntegral_add_wedgeIntegral_eq, ProbabilityTheory.strong_law_aux7, uniqueMDiffOn_iff_uniqueDiffOn, coe_lpPiLpₗᵢ_symm, EuclideanGeometry.Sphere.isDiameter_iff_mem_and_mem_and_dist, VectorBundleCore.localTrivAt_apply_mk, Complex.norm_sub_one_sq_eqOn_sphere, PeriodPair.hasFPowerSeriesOnBall_derivWeierstrassPExcept, differentiable_piLp, ClosedSubmodule.inf_orthogonal_eq_bot, HasFPowerSeriesOnBall.pi, Affine.Triangle.eulerPoint_eq_midpoint, contDiffOn_piLp_apply, Submodule.reflection_eq_self_iff, MeasureTheory.weightedSMul_union', MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, stereographic_source, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, ContDiff.iteratedFDeriv_right', contMDiffAt_extChartAt, Affine.Simplex.sign_signedInfDist_touchpoint_empty, deriv.neg', AnalyticAt.analyticOrderAt_ne_top, MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq, SchwartzMap.pairing_continuous_left, Real.one_add_rpow_hasFPowerSeriesAt_zero, integral_sin_pow_odd_mul_cos_pow, signedDist_vadd_right_swap, iteratedDerivWithin_fun_const_smul, ProbabilityTheory.integral_condCDF, DomMulAct.smul_Lp_zero, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', ValueDistribution.proximity_zero_of_complexValued, SchwartzMap.integralCLM_apply, EulerSine.tendsto_integral_cos_pow_mul_div, frontier_closedBall', Affine.Simplex.midpoint_faceOppositeCentroid_eulerPoint, hasDerivAt_one, MeasureTheory.withDensityᵥ_toReal, FormalMultilinearSeries.radius_shift, ProbabilityTheory.Kernel.condExp_densityProcess, Polynomial.fourierCoeff_toAddCircle_natCast, ContDiffBump.tsupport_eq, MeasureTheory.stronglyMeasurable_condExp, ContinuousLinearEquiv.comp_right_differentiableAt_iff, ext_iff_inner_right, analyticOn_pi_iff, ContDiffAt.contDiffOn, OpenPartialHomeomorph.interior_extend_target_subset_interior_range, Complex.nnnorm_natCast, NormedAddGroupHom.completion_toCompl, NormedSpace.polar_ball, AnalyticAt.const_smul, IsZLattice.span_top, EuclideanSpace.inner_basisFun_real, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitone, ContinuousLinearEquiv.differentiableOn, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, coe_addEquiv_lpBCF, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, AnalyticWithinAt.exists_mem_nhdsWithin_analyticOn, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, fderivWithin_derivWithin, Submodule.ker_starProjection, ContDiffMapSupportedInClass.instBoundedContinuousMapClass, ContinuousLinearEquiv.mfderiv_eq, fourierCoeffOn_of_hasDerivAt_Ioo, hasLineDerivAt_iff_tendsto_slope_zero, differentiableAt_comp_add_right, MeasureTheory.lpMeasSubgroupToLpTrim_norm_map, Complex.nndist_conj_self, ProbabilityTheory.covarianceBilin_real, NormedAddGroupHom.completion_neg, bernoulliFun_eq_integral, EuclideanGeometry.Sphere.IsDiameter.midpoint_eq_center, MeasureTheory.SimpleFunc.eLpNorm'_eq, ContinuousLinearEquiv.comp_contDiffWithinAt_iff, ProbabilityTheory.moment_def, Real.Angle.natCast_mul_eq_nsmul, MeasureTheory.integral_const, SchwartzMap.fourier_coe, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, ContinuousLinearMap.measurable_coe, HasDerivWithinAt.smul_const, ContinuousLinearMap.analyticOn, CStarAlgebra.star_left_conjugate_le_norm_smul, norm_iteratedFDeriv_prod_le, contDiff_nat_iff_continuous_differentiable, MeasureTheory.L1.SimpleFunc.setToL1S_zero_left, MeasureTheory.Lp.simpleFunc.coe_smul, SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, OrderedFinpartition.compAlongOrderFinpartition_apply, Submodule.topologicalClosure_eq_top_iff, mdifferentiableOn_coordChangeL, MeasureTheory.Measure.addHaar_real_ball_center, Finset.analyticOnNhd_sum, HasFiniteFPowerSeriesOnBall.add, MeasureTheory.Lp.smul_def, iteratedDeriv_comp_const_sub, Function.RCLike.hasTemperateGrowth_ofReal, ContDiffAt.iteratedFDeriv_comp_perm, EuclideanGeometry.Sphere.secondInter_vsub_mem_affineSpan, TensorProduct.enorm_assoc, MeasureTheory.Lp.norm_exponent_zero, ContDiffAt.norm, hasFDerivWithinAt_comp_add_right, MeasureTheory.Lp.smul_neg, contMDiffWithinAt_extChartAt_symm_target, OrthonormalBasis.repr_symm_single, EuclideanGeometry.inner_nonneg_of_dist_le_radius, Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two, writtenInExtChartAt_sumSwap_eventuallyEq_id, ExistsContDiffBumpBase.y_smooth, Asymptotics.IsEquivalent.refl, SchwartzMap.sum_apply, Bundle.contMDiff_zeroSection, contDiff_inner, MeasureTheory.L1.stronglyMeasurable_coeFn, ProbabilityTheory.condVar_bot', hasDerivAt_natCast, ContinuousMap.coeFn_toLp, Submodule.reflection_bot, Affine.Simplex.point_eq_affineCombination_of_pointsWithCircumcenter, Real.Angle.zsmul_eq_iff, FiberBundle.extChartAt_target, InnerProductSpace.toDual_apply_eq_toDualMap_apply, AffineSubspace.perpBisector_self, IsContDiffImplicitAt.contDiffAt, SchwartzMap.fourierInv_coe, ContinuousLinearMap.isPositive_def', Orientation.oangle_add_cyc3_neg_left, LinearMap.adjoint_inner_left, MemHolder.nnHolderNorm_smul, ODE.FunSpace.continuous_compProj, MeasureTheory.eLpNorm_mono, PeriodPair.analyticOnNhd_derivWeierstrassP, BoxIntegral.Integrable.tendsto_integralSum_toFilteriUnion_single, LinearIsometry.map_eq_iff, ProperCone.innerDual_empty, inner_vsub_vsub_left_eq_dist_sq_right_iff, AnalyticAt.differentiableAt, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, GaussianFourier.integral_cexp_neg_mul_sq_add_real_mul_I, Orientation.oangle_map, ContMDiffVectorBundle.contMDiffOn_coordChangeL, MeasureTheory.Measure.addHaar_preimage_linearMap, deriv_natCast, ProbabilityTheory.condVar_of_sigmaFinite, curveIntegral_eq_intervalIntegral_deriv, mdifferentiableWithinAt_snd, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, meromorphicOrderAt_smul_of_ne_zero, mfderiv_prodMk, HasFPowerSeriesAt.sub, MeasureTheory.SimpleFunc.memLp_of_isFiniteMeasure, hasMFDerivWithinAt_snd, MeasureTheory.Lp.instSMulCommClass, ContDiffAt.continuousLinearMap_comp, BoxIntegral.integralSum_smul, ContinuousMultilinearMap.norm_domDomCongr, Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two, HasFTaylorSeriesUpTo.continuous, ZSpan.quotientEquiv.symm_apply, contMDiff_prod_module_iff, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, Real.tendsto_integral_exp_smul_cocompact, hasFPowerSeriesOnBall_cuspFunction, MeasureTheory.setIntegral_tilted', EuclideanGeometry.Sphere.isDiameter_iff_mem_and_mem_and_wbtw, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, ContDiffAt.dist, Submodule.ker_orthogonalProjection, EuclideanGeometry.oangle_midpoint_rev_right, Orientation.kahler_mul, GaussianFourier.integral_cexp_neg_mul_sum_add, OpenPartialHomeomorph.contDiffOn_restrContDiff_target, tsum_sq_fourierCoeffOn, Submodule.reflection_map_apply, mdifferentiableAt_section, sameRay_iff_norm_sub, ProbabilityTheory.covarianceBilinDual_comm, TensorProduct.dist_tmul_le, Metric.diam_sphere_eq, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt', ModularFormClass.qExpansion_coeff_eq_circleIntegral, ProbabilityTheory.isGaussian_iff_charFunDual_eq, ProbabilityTheory.iteratedDeriv_two_cgf, BoxIntegral.integralSum_disjUnion, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.integral_smul, CPolynomialAt.exists_ball_cpolynomialOn, integral_exp_mul_Ioi, iteratedDerivWithin_smul, ContinuousMultilinearMap.curry0_norm, Submodule.sup_orthogonal_of_hasOrthogonalProjection, measurableSet_of_differentiableWithinAt_Ioi, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, integral_sin_mul_cos_sq, TensorProduct.norm_lid, MeasureTheory.lpTrimToLpMeas_ae_eq, ContinuousLinearMap.norm_fst, Meromorphic.add, SmoothPartitionOfUnity.exists_pos_of_mem, OrderedFinpartition.applyOrderedFinpartition_apply, ProbabilityTheory.deriv_mgf_zero, MeasureTheory.charFun_eq_charFunDual_toDualMap, continuousAt_extChartAt', Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero, SchwartzMap.instLocallyConvexSpace, MeasureTheory.UniformIntegrable.memLp, differentiableAt_neg_iff, lp.single_add, Affine.Simplex.incenter_mem_affineSpan_range, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, Bundle.mdifferentiable_proj, Submodule.isOrtho_iSup_right, TensorProduct.toLinearEquiv_assocIsometry, intervalIntegral.integral_le_sub_of_hasDeriv_right_of_le, ContinuousMultilinearMap.analyticOn, DomAddAct.vadd_Lp_const, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, Orientation.oangle_smul_smul_self_of_nonneg, fourierIntegral_gaussian, MeromorphicNFAt.smul_analytic, OpenPartialHomeomorph.extend_symm_continuousWithinAt_comp_right_iff, AnalyticOnNhd.add, MemHolder.nnHolderNorm_add_le, Submodule.IsOrtho.disjoint, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, ZLattice.volume_image_eq_volume_div_covolume', MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv, PeriodPair.meromorphic_weierstrassP, Real.nnnorm_of_nonneg, EuclideanGeometry.orthogonalProjection_orthogonalProjection, toMatrix_innerSL_apply, OrthonormalBasis.equiv_apply_basis, ClosedSubmodule.sInf_orthogonal, Affine.Simplex.eulerPoint_reindex, ContinuousMap.toLp_comp_toContinuousMap, Function.HasTemperateGrowth.smul, one_add_rpow_hasFPowerSeriesAt_zero, contDiff_single, MeasureTheory.integrable_const_iff, ProbabilityTheory.iCondIndepFun_iff, rescale_to_shell_zpow, iteratedFDeriv_comp_add_right, MeasureTheory.Measure.addHaar_ball_mul_of_pos, circleAverage_log_norm_sub_const_eq_posLog, Orientation.rightAngleRotation_trans_neg_orientation, Orientation.volumeForm_robust', ModelWithCorners.boundary_of_boundaryless_right, exists_smooth_zero_one_of_isClosed, ModelWithCorners.mdifferentiable, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, iteratedFDeriv_zero_fun, ModelWithCorners.range_eq_closure_interior, Submodule.HasOrthogonalProjection.exists_orthogonal, Real.nnnorm_ofNat, ModelWithCorners.range_subset_closure_interior, ContinuousLinearEquiv.comp_contDiffOn_iff, ModelWithCorners.convex_range', MeasureTheory.Lp.smul_comm, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, SchwartzMap.continuous_toLp, Manifold.IsImmersionAt.target_subset_preimage_target, SchwartzMap.coe_coeHom, Submodule.starProjection_top, Affine.Simplex.excenterWeights_map, hasFDerivAt_sub_const, PeriodPair.analyticAt_derivWeierstrassPExcept, MeasureTheory.isComplete_aestronglyMeasurable, ModelWithCorners.range_eq_univ_prod, Submodule.iInf_orthogonal, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, TestFunction.hasCompactSupport', analyticAt_log, MeasureTheory.ae_mem_limsup_atTop_iff, MeasureTheory.Lp.simpleFunc.isUniformEmbedding, ModelWithCorners.prod_apply, signedDist_vadd_left, MeasureTheory.hasFiniteIntegral_const_iff, tangentBundleModelSpaceHomeomorph_coe_symm, AffineSpace.asymptoticNhds_le_cobounded, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, Pretrivialization.continuousLinearMap_apply, derivWithin_sub_const_fun, EuclideanGeometry.oangle_add_oangle_rev, MeasureTheory.L1.integral_zero, Real.toNNReal_eq_nnnorm_of_nonneg, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedSpace.sInter_polar_eq_closedBall, ContDiffBump.convolution_eq_right, TemperedDistribution.instFourierInvSMul, hasFDerivWithinAt_fst, ExistsContDiffBumpBase.w_def, measurable_derivWithin_Ioi, ProbabilityTheory.deriv_cgf, MeasureTheory.Measure.setIntegral_comp_smul, ModelWithCorners.transContinuousLinearEquiv_range, ContDiffOn.smul, OpenPartialHomeomorph.map_extend_nhdsWithin, lp.hasSum_inner, TensorProduct.nnnorm_assoc, WeakFEPair.hf_modif_FE, integral_gaussian_sq_complex, contDiff_stereoInvFunAux, tangentBundleCore_localTriv_baseSet, FormalMultilinearSeries.analyticAt_changeOrigin, deriv_smul_const, Affine.Simplex.incenter_notMem_affineSpan_pair, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, HasFPowerSeriesWithinAt.continuousWithinAt, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, OrthonormalBasis.norm_le_card_mul_iSup_norm_inner, Diffeomorph.uniqueDiffOn_preimage, ZSpan.repr_fract_apply, SmoothBumpCovering.embeddingPiTangent_injective, ContinuousLinearMap.orthogonal_range, contDiff_one_iff_hasFDerivAt, MeasureTheory.charFunDual_prod', HasFiniteFPowerSeriesAt.add, Submodule.lipschitzWith_starProjection, HasFPowerSeriesAt.hasDerivAt, ContinuousLinearMap.isPositive_iff_complex, LinearIsometryEquiv.toMeasurableEquiv_symm, hasDerivWithinAt_congr_set', HurwitzZeta.hurwitzOddFEPair_g₀, instIsContMDiffRiemannianBundleTrivial, MeromorphicOn.min_divisor_le_divisor_add, BoundedContinuousFunction.isBounded_range_integral, SchwartzMap.toLp_fourierTransform_eq, ContDiff.dist, MeasureTheory.setLIntegral_nnnorm_condExpIndSMul_le, HasFPowerSeriesAt.eventually_hasSum_sub, deriv_comp_neg, exists_contMDiff_support_eq_eq_one_iff, fourierIntegral_half_period_translate, BoxIntegral.integralSum_sub_partitions, MeasureTheory.continuous_indicatorConstLp_set, MeasureTheory.withDensityᵥ_zero, ContinuousLinearMap.comp_cpolynomialOn, AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero, MeasureTheory.condExpIndL1_of_not_measurableSet, ContMDiffSection.contMDiff, Orientation.eq_zero_or_oangle_eq_iff_inner_eq_zero, iteratedFDerivWithin_comp_add_left', InnerProductSpace.span_gramSchmidt, MeasureTheory.Lp.smul_add, MeasureTheory.withDensitySMulLI_apply, contDiff_mul, hasDerivWithinAt_const_add_iff, MeasureTheory.Measure.addHaar_nnreal_smul, Affine.Simplex.touchpoint_eq_point_rev, EuclideanGeometry.hasFDerivAt_inversion, Finset.analyticOnNhd_fun_sum, PiLp.contDiff_ofLp, Orientation.kahler_map, MeasureTheory.convolutionExistsAt_iff_integrable_swap, PiLp.hasFDerivAt_ofLp, TemperedDistribution.instFourierInvAdd, dist_div_norm_sq_smul, MeasureTheory.Lp.fourierInv_toTemperedDistribution_eq, MeasureTheory.memLp_prodLp_iff, volume_regionBetween_eq_integral', torusIntegral_smul, ZLattice.comap_comp, stronglyMeasurable_derivWithin_Ici, norm_iteratedFDeriv_one, posTangentConeAt_mono, MeasureTheory.ae_bdd_condExp_of_ae_bdd, LinearIsometryEquiv.comp_differentiable_iff, IsManifold.mem_maximalAtlas_prod, analyticOnNhd_fst, Orientation.oangle_sign_add_left, Affine.Simplex.signedInfDist_reindex, ZSpan.instDiscreteTopologySubtypeMemAddSubgroupToAddSubgroupIntSpanRangeCoeBasisRealOfFinite, UnitAddTorus.hasSum_prod_mFourierCoeff, ContinuousMultilinearMap.analyticOnNhd, EuclideanGeometry.angle_const_vsub, ClosedSubmodule.orthogonal_toSubmodule_eq, MeasureTheory.integrable_comp_mul_right_iff, LeftInvariantDerivation.map_sub, ContDiffAt.fst', contMDiff_equivTangentBundleProd, SeparationQuotient.normedMk_apply, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, differentiableAt_finCons', ContinuousLinearMap.isPositive_iff, MeasureTheory.Measure.addHaar_submodule, TensorProduct.mapIsometry_apply, SmoothPartitionOfUnity.sum_finsupport_smul_eq_finsum, AnalyticAt.analyticAt_localInverse, circleIntegral.circleIntegral_congr_codiscreteWithin, signedDist_apply_linear_apply, VectorBundleCore.inCoordinates_eq, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, DomMulAct.smul_Lp_ae_eq, TemperedDistribution.fourierInv_apply, MeromorphicOn.extract_zeros_poles, VectorField.pullbackWithin_eq, MeasureTheory.SimpleFunc.integrable_of_isFiniteMeasure, MonotoneOn.integrableOn_isCompact, ValueDistribution.logCounting_add_const, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff, LeftInvariantDerivation.map_neg, Affine.Simplex.neg_one_lt_inner_vsub_altitudeFoot_div, derivWithin_fun_const, Affine.Simplex.ExcenterExists.touchpointWeights_map, MeasureTheory.Lp.simpleFunc.isUniformInducing, ContinuousLinearMap.norm_inl, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, isOpen_analyticAt, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, MeasureTheory.integrable_swap_iff, EuclideanGeometry.collinear_of_angle_eq_pi, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, Affine.Simplex.mongePoint_map, ContinuousLinearEquiv.comp_differentiable_iff, HurwitzZeta.hurwitzOddFEPair_f, Affine.Simplex.eulerPoint_map, fourierCoeff.const_mul, SchwartzMap.instFourierSMul, MeasureTheory.measureReal_abs_inner_gt_le_integral_charFun, HasFPowerSeriesOnBall.prod, Orientation.two_zsmul_oangle_smul_right_self, Affine.Triangle.sOppSide_affineSpan_pair_point_excenter_singleton, SchwartzMap.fourierTransformCLM_apply, ODE.FunSpace.intervalIntegrable_comp_compProj, AffineSubspace.signedInfDist_singleton, HasFPowerSeriesWithinOnBall.neg, norm_deriv_eq_norm_fderiv, MeasureTheory.L1.integral_add, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, DiffContOnCl.add, EuclideanGeometry.angle_midpoint_eq_pi, MeasureTheory.aestronglyMeasurable_condExpIndSMul, ZSpan.fundamentalDomain_isBounded, SlashInvariantForm.slash_S_apply, UniqueMDiffOn.bundle_preimage, Orientation.coe_basisRightAngleRotation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, PointwiseConvergenceCLM.tendsto_nhds_atTop, TemperedDistribution.fourierTransform_toTemperedDistributionCLM_eq, intervalIntegral.mul_integral_comp_mul_add, one_add_cpow_hasFPowerSeriesOnBall_zero, MeromorphicAt.fun_sum, hasFPowerSeriesWithinOnBall_pi_iff, hasDerivAt_zero, MeasureTheory.Lp.constL_apply, MeasureTheory.IsFundamentalDomain.hasFiniteIntegral_on_iff, SchwartzMap.fderivCLM_fourier_eq, CStarModule.inner_mul_inner_swap_le, MeasureTheory.Integrable.comp_snd_iff, MeasureTheory.L2.mem_L1_inner, BoxIntegral.Integrable.tendsto_integralSum_toFilter_prod_self_inf_iUnion_eq_uniformity, ContinuousLinearEquiv.contDiffOn_comp_iff, ProbabilityTheory.strong_law_aux4, mellin_const_smul, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, BoxIntegral.integrable_iff_cauchy, TemperedDistribution.instLineDerivAdd, SchwartzMap.derivCLM_apply, Real.Angle.two_nsmul_coe_div_two, HasFPowerSeriesOnBall.eventually_hasSum_sub, TensorProduct.toLinearMap_mapIsometry, contMDiffWithinAt_iff_source, MeasureTheory.L1.integral_eq_integral, ProbabilityTheory.condExp_zero_or_one_of_measurableSet_limsup_atTop, NormedSpace.exp_smul, MeromorphicOn.negPart_divisor_add_le_max, SchwartzMap.isBigO_cocompact_zpow_neg_nat, VectorBundleCore.continuousOn_coordChange, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp, Affine.Simplex.affineCombination_touchpointWeights, intervalIntegral.integral_nonneg_of_ae, MeasureTheory.integral_fun_fst, Orientation.volumeForm_zero_neg, hasDerivWithinAt_inter', Bundle.contMDiffAt_section, MeasureTheory.martingalePart_eq_sum, Unitary.inner_map_map, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, OpenPartialHomeomorph.nhdsWithin_extend_target_eq, SmoothPartitionOfUnity.sum_finsupport, MeasureTheory.eLpNormEssSup_indicator_eq_eLpNormEssSup_restrict, TensorProduct.enorm_map, Orientation.areaForm_map, ContDiff.iterate_deriv', nhdsWithin_extChartAt_target_eq, Affine.Triangle.orthocenter_mem_affineSpan, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_not_collinear, Complex.GammaSeq_eq_approx_Gamma_integral, Metric.contractibleSpace_eball, deriv_comp_mul_left, LinearMap.derivWithin, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, MeasureTheory.Lp.simpleFunc.coe_indicatorConst, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, iteratedFDeriv_zero_eq_comp, isConformalMap_iff, hasFTaylorSeriesUpToOn_succ_iff_left, ContDiffOn.continuousOn, Complex.nnnorm_exp_ofReal_mul_I, ProbabilityTheory.condVar_bot_ae_eq, Affine.Simplex.faceOppositeCentroid_mem_ninePointCircle, ModelWithCorners.boundary_prod, Metric.isConnected_closedEBall, Affine.Simplex.mongePoint_mem_affineSpan, MeasureTheory.condExpIndL1_disjoint_union, hasStrictFDerivAt_sub_const_iff, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, contMDiffWithinAt_iff_source_of_mem_source, ContinuousLinearMap.fpowerSeriesBilinear_radius, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, curveIntegralFun_restrictScalars, MeasureTheory.Lp.inner_fourier_eq, contDiff_smul, Fourier.norm_fourierIntegral_le_integral_norm, intervalIntegral.integral_deriv_comp_mul_deriv, EuclideanGeometry.Sphere.IsTangent.isTangentAt, MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos, AffineMap.hasStrictDerivAt, LipschitzWith.ae_differentiableAt_of_real, ProperCone.mem_innerDual, EuclideanGeometry.Sphere.two_zsmul_oangle_center_add_two_zsmul_oangle_eq_pi, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, meromorphicNFAt_smul_iff_right_of_analyticAt, ZLattice.isAddFundamentalDomain, EuclideanGeometry.Sphere.orthRadius_le_orthRadius_iff, SchwartzMap.memLp_top, ContinuousLinearMap.adjointAux_inner_right, IsClosed.diffContOnCl_iff, HasDerivWithinAt.Ioi_iff_Ioo, MeasureTheory.L1.aestronglyMeasurable_coeFn, MeromorphicOn.smul, Finset.analyticOn_sum, Real.Angle.continuous_sin, contDiffWithinAt_pi, toCompl_apply, integral_zpow, TemperedDistribution.instLineDerivSMulComplex, ContinuousLinearEquiv.isOpen, LSeries_analyticOn, exists_eq_interval_average_of_measure, HilbertBasis.repr_self, CStarAlgebra.conjugate_le_norm_smul, IsometryEquiv.coeFn_toRealAffineIsometryEquiv, AnalyticAt.differentiableWithinAt, contDiff_piLp_apply, TensorProduct.commIsometry_apply, ContinuousLinearEquiv.coe_toDiffeomorph, deriv_intCast, norm_midpoint_lt_iff, Function.Complex.hasTemperateGrowth_ofReal, continuousMultilinearCurryRightEquiv_symm_apply', AnalyticOnNhd.pi, InnerProductGeometry.inner_eq_mul_norm_of_angle_eq_zero, MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', Finset.analyticAt_sum, contDiffWithinAt_piLp, Orientation.oangle_add_oangle_rev_neg_left, measurable_smul_const, WeakFEPair.functional_equation, ProbabilityTheory.analyticOnNhd_mgf, MeasureTheory.Submartingale.sum_smul_sub, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, equivTangentBundleProd_eq_tangentMap_prod_tangentMap, TensorProduct.congrIsometry_symm, BoundedContinuousFunction.coe_toContinuousMapₐ, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, integral_one_div_one_add_sq, Metric.isConnected_ball, EuclideanGeometry.collinear_iff_eq_or_eq_or_angle_eq_zero_or_angle_eq_pi, Complex.log_eq_integral, ContinuousAlternatingMap.norm_ofSubsingleton_id, MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt, LinearIsometry.contDiff, AEMeasurable.nnnorm, Affine.Simplex.incenter_reindex, integral_one, OpenPartialHomeomorph.restrContDiff_apply, circleAverage_log_norm_sub_const₂, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, VectorField.mpullbackWithin_eq_pullbackWithin, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, TorusIntegrable.add, MeasureTheory.UnifTight.exists_measurableSet_indicator, eHolderNorm_add_le, AffineSubspace.mem_perpBisector_iff_dist_eq, MeasureTheory.Lp.eLpNorm_lt_top, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, iteratedDerivWithin_eq_equiv_comp, MeasureTheory.L2.integrable_inner, Besicovitch.card_le_of_separated, dimH_orthogonalProjection_le, BoundedContinuousFunction.toLp_norm_le, contDiffOn_snd, instDiscreteTopologySubtypeMemSubmoduleIntComap, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.Lp.continuous_negPart, MeasureTheory.integrable_smul_iff, ModelWithCorners.isInteriorPoint_iff, MeasureTheory.Lp.coeFn_negPart, mdifferentiable_prod_iff, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, TangentBundle.trivializationAt_baseSet, ContDiffPointwiseHolderAt.fderiv, Orientation.inner_rightAngleRotationAux₁_right, curveIntegral_fun_sub, HasFiniteFPowerSeriesOnBall.finite, Meromorphic.iterated_deriv, SeparationQuotient.liftNormedAddGroupHom_apply, Submodule.re_inner_starProjection_nonneg, ContDiffWithinAt.inner, MeasureTheory.integrable_neg_iff, map_extChartAt_nhdsWithin_eq_image', MeasureTheory.Integrable.of_subsingleton, Submodule.adjoint_orthogonalProjection, Complex.dist_mk, norm_tangentSpace_vectorSpace, Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter, VectorBundleCore.trivializationAt, MeasureTheory.lintegral_enorm_eq_lintegral_edist, mdifferentiableOn_prod_iff, EuclideanGeometry.reflection_apply', ContDiffWithinAt.smul_const, SchwartzMap.integral_fourierInv_mul_eq, MeasureTheory.condExp_of_sigmaFinite, hasFDerivWithinAt_iff_hasGradientWithinAt, iteratedDerivWithin_succ, CurveIntegrable.smul, BoxIntegral.Integrable.smul, TemperedDistribution.laplacian_toTemperedDistributionCLM_eq, mdifferentiableAt_mulInvariantVectorField, ContinuousAffineMap.differentiableOn, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, integral_sin_pow_succ_le, Submodule.isOrtho_bot_right, mfderivWithin_prodMk, LinearMap.adjoint_comp, ProbabilityTheory.iteratedDeriv_two_cgf_eq_integral, FormalMultilinearSeries.min_radius_le_radius_add, ImplicitFunctionData.contDiff_implicitFunction, hasStrictDerivAt_one, ODE.FunSpace.continuous, ContinuousAffineMap.norm_comp_le, MeasureTheory.L1.SimpleFunc.norm_eq_integral, signedDist_right_lineMap, SchwartzMap.instZeroAtInftyContinuousMapClass, MeasureTheory.condExpIndL1_of_measure_eq_top, ProbabilityTheory.uncenteredCovarianceBilin_zero, mdifferentiableAt_iff_source_of_mem_source, contMDiffAt_prod_module_iff, LinearMap.IsPositive.inner_nonneg_right, VonNeumannAlgebra.coe_toStarSubalgebra, MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter, circleIntegrable_def, IsManifold.of_discreteTopology, InnerProductSpace.span_gramSchmidt_Iio, mdifferentiableAt_iff_of_mem_source, ContinuousAlternatingMap.curryLeft_add, HasFPowerSeriesAt.pi, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, hasFDerivAt_comp_add_left, iteratedDerivWithin_succ', analyticWithinAt_iff_exists_analyticAt, LinearIsometryEquiv.lTensor_def, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', EuclideanGeometry.Sphere.mem_tangentSet_iff, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, LinearIsometry.strictConvexSpace_range_iff, VectorFourier.fourierPowSMulRight_apply, IsContDiffImplicitAt.implicitFunctionData_rightFun_pt, mdifferentiable_jacobiTheta, inner_eq_norm_mul_iff_real, interior_extChartAt_target_nonempty, Affine.Simplex.altitude_map, Submodule.mem_orthogonal_singleton_iff_inner_left, MeasureTheory.L1.SimpleFunc.norm_integral_le_norm, MeasureTheory.Submartingale.smul_nonpos, Manifold.IsImmersionAtOfComplement.writtenInCharts, ProbabilityTheory.tilted_mul_apply_eq_ofReal_integral_cgf, SmoothBumpCovering.support_toSmoothPartitionOfUnity_subset, Bundle.Trivial.contMDiffVectorBundle, SchwartzMap.decay, OpenPartialHomeomorph.isOpen_extend_target, contDiff_succ_iff_deriv, ModelWithCorners.uniqueDiffWithinAt_image, WithCStarModule.inner_single_left, LinearIsometryEquiv.comp_hasFDerivAt_iff', Submodule.mem_adjoint_iff, FormalMultilinearSeries.summable_nnnorm_mul_pow, LinearMap.isSymmetric_iff_isSelfAdjoint, CPolynomialOn.fderiv, ContMDiffAt.prodMap', Int.abs_le_floor_nnreal_iff, iteratedDerivWithin_fun_add, PadicInt.mahlerEquiv_apply, Submodule.reflection_involutive, Chebyshev.integral_theta_div_log_sq_isBigO, SchwartzMap.convolution_flip, Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two, contDiffOn_succ_iff_derivWithin, Module.Basis.parallelepiped_map, AlternatingMap.measure_def, ContDiffAt.differentiableAt_one, MeasureTheory.charFunDual_dirac, MeasureTheory.ConvolutionExistsAt.distrib_add, FormalMultilinearSeries.radius_compContinuousLinearMap_le, MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnder, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, ContinuousLinearMap.IsPositive.adjoint_conj, PeriodPair.hasFPowerSeriesOnBall_weierstrassPExcept, WeakFEPair.hg_int, LinearIsometryEquiv.reflections_generate_dim, Complex.isometryOfOrthonormal_apply, hasMFDerivAt_iff_hasFDerivAt, iteratedFDeriv_prodMk, intervalIntegral.smul_integral_comp_mul_right, Irreducible.maximalIdeal_eq_closedBall, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, IsContDiffImplicitAt.implicitFunctionData_leftFun_apply, SchwartzMap.laplacian_eq_sum, Real.tendsto_Icc_vitaliFamily_left, MeasureTheory.eLpNorm'_const_smul_le, SchwartzMap.lineDerivOp_apply_eq_fderiv, deriv_add_const, intervalIntegral.integral_comp_div_add, integral_le_sum_Ico_of_le, mdifferentiableAt_iff_differentiableAt, EuclideanGeometry.Sphere.isTangentAt_center_iff, tangentMap_prodFst, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, integral_gaussian, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, CFC.log_pow, hasFDerivWithinAt_pi, BoxIntegral.integral_const, intervalIntegral.integral_smul_const, MeasureTheory.Lp.neg_smul, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, HilbertBasis.summable_inner_mul_inner, mdifferentiableWithinAt_iff_target_of_mem_source, OpenPartialHomeomorph.continuousAt_extend_symm, contDiffAt_zero, ContinuousLinearMap.isPositive_iff', ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, intervalIntegral.mul_integral_comp_sub_mul, LinearIsometryEquiv.comp_hasFDerivAt_iff, derivWithin_const_add_fun, mdifferentiableWithinAt_extChartAt_symm, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, Submodule.finrank_add_finrank_orthogonal, contMDiffOn_comp_projIcc_iff, map_extChartAt_nhdsWithin_eq_image, intervalIntegral.abs_integral_eq_abs_integral_uIoc, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, ContinuousLinearMap.star_eq_adjoint, integral_one_div, ProbabilityTheory.integral_id_gaussianReal, SchwartzMap.integral_fourier_smul_eq, Real.dimH_segment, ProbabilityTheory.meas_ge_le_evariance_div_sq, AffineMap.differentiableOn, ImplicitFunctionData.right_map_implicitFunction, SmoothBumpFunction.contMDiff, ModelWithCorners.mdifferentiableOn, Submodule.orthogonal_eq_top_iff, modelWithCornersSelf_partialEquiv, HurwitzZeta.hurwitzOddFEPair_k, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, contMDiffWithinAt_extChartAt_symm_range, MeasureTheory.Lp.instOrderClosedTopologySubtypeAEEqFunMemAddSubgroupOfClosedIciTopology, ValueDistribution.logCounting_sum_top_le, ContDiff.differentiable, PiLp.hasFDerivAt_apply, MeasurableEquiv.withDensity_ofReal_map_symm_apply_eq_integral_abs_deriv_mul', Submodule.lipschitzWith_orthogonalProjection, ContDiffAt.fun_smul, HasFPowerSeriesWithinAt.neg, UniformSpace.Completion.enorm_coe, NormedAddGroupHom.ker_le_ker_completion, Orientation.inner_rightAngleRotation_right, EuclideanGeometry.angle_neg, UpperHalfPlane.contMDiffAt_ofComplex, ContMDiffOn.contMDiffOn_tangentMapWithin, fourierSubalgebra_closure_eq_top, ModularForm.prod_fintype_slash, GaussianFourier.integral_cexp_neg_sum_mul_add, MeasureTheory.UniformIntegrable.spec, derivWithin_comp_add_const, derivWithin.star, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, summable_norm_iff, asymptoticCone_subset_singleton_of_bounded, MeasureTheory.Measure.exists_integral_isAddLeftInvariant_eq_smul_of_hasCompactSupport, OpenPartialHomeomorph.extend_preimage_mem_nhdsWithin, BoundedContinuousFunction.instHasSolidNorm, OrthonormalBasis.inner_eq_one, OrderedFinpartition.applyOrderedFinpartition_update_left, contDiffOn_pi, integral_sin_sq_mul_cos, orthogonalFamily_iff_pairwise, ZSpan.map_fundamentalDomain, ExistsContDiffBumpBase.y_support, ProbabilityTheory.IsRatCondKernelCDFAux.setIntegral_iInf_rat_gt, intervalIntegral.norm_integral_le_integral_norm, Affine.Simplex.ExcenterExists.signedInfDist_excenter, derivWithin_zero, ModularForm.holo', FormalMultilinearSeries.radius_le_radius_derivSeries, Orientation.volumeForm_apply_le, ContinuousAlternatingMap.curryLeftLI_apply, ContinuousMapClass.toCocompactMapClass_of_norm, deriv_comp_const_add, re_inner_self_nonpos, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, Submodule.inf_orthogonal_eq_bot, differentiableAt_iff_comp_add_const, MeasureTheory.eLpNormEssSup_lt_top_of_ae_bound, BoundedContinuousFunction.norm_integral_le_mul_norm, MeasureTheory.norm_condExpInd_le, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, BoundedContinuousFunction.toContinuousMapₐ_apply, curveIntegralFun_trans_aeeq_left, SmoothPartitionOfUnity.finite_tsupport, ProbabilityTheory.analyticOn_complexMGF, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, NormedSpace.noncompactSpace, WeakFEPair.hf_int, Complex.integral_rpow_mul_exp_neg_mul_rpow, ContMDiffWithinAt.prodMap', AnalyticOn.fun_const_smul, Submodule.isOrtho_sSup_left, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, ContDiffAt.exists_eventually_eq_hasDerivAt, DiffContOnCl.const_add, mdifferentiableWithinAt_fst, ContinuousMultilinearMap.analyticWithinAt, not_intervalIntegrable_of_sub_inv_isBigO_punctured, fderiv_star, MeasureTheory.integrable_comp_smul_iff, derivWithin_fun_const_smul', MeasureTheory.Measure.addHaar_preimage_linearEquiv, hasFDerivAtFilter_iff_tendsto, Chebyshev.integral_theta_div_log_sq_isLittleO, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf, Affine.Simplex.orthogonalProjectionSpan_reindex, ContDiffMapSupportedIn.support_subset, SchwartzMap.instFourierInvAdd, OrthonormalBasis.coe_toBasis_repr, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, ContinuousLinearEquiv.hasFDerivAt, EulerSine.integral_cos_pow_pos, ContMDiffMap.smul_comp', MonotoneOn.integral_le_sum, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, iteratedDeriv_const_smul_field, stereo_right_inv, MeasureTheory.pdf.IsUniform.integral_eq, ContDiff.norm, InnerProductSpace.isIdempotentElem_rankOne_self_iff, MeasureTheory.hausdorffMeasure_affineSegment, AntitoneOn.integrableOn_of_measure_ne_top, ContDiffBump.hasCompactSupport_normed, OpenPartialHomeomorph.contDiffOn_univBall_symm, AntitoneOn.sum_le_integral, VectorBundleCore.mem_localTriv_source, Pretrivialization.continuousLinearMap_symm_apply, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, hasDerivAtFilter_pi, stereographic_apply, Affine.Triangle.sbtw_touchpoint_empty, BoundedContinuousFunction.coe_inf, Orientation.rotation_apply, NormedAddGroupHom.completion_comp, IsLocalFrameOn.contMDiffOn_of_coeff, ModelWithCorners.BoundarylessManifold.prod, integral_pow_mul_le_of_le_of_pow_mul_le, MeasureTheory.Lp.coeFn_zero, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum_of_completeSpace, Submodule.inner_starProjection_left_eq_right, MeasureTheory.mem_lpMeas_self, ContinuousLinearMap.IsPositive.spectrumRestricts, OrthonormalBasis.sum_repr, MeasureTheory.norm_Lp_toLp_restrict_le, hasDerivAtFilter_const_add_iff, homeomorphSphereProd_apply_snd_coe, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, MeasureTheory.Lp.coe_LpSubmodule, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, differentiableAt_snd, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, dist_lt_dist_add_dist_iff, TestFunction.instLocallyConvexSpaceReal, ModularFormClass.bdd_at_infty_slash, ContinuousLinearEquiv.analyticOnNhd, InnerProductSpaceable.innerProp, contDiffWithinAt_abs, LinearIsometry.strictConvexSpace_range, LeftInvariantDerivation.coe_zero, hasSum_sq_fourierCoeff, ProbabilityTheory.strong_law_aux1, Real.nnnorm_natCast, contDiff_infty_iff_deriv, Metric.eball_contractible, ProbabilityTheory.condExp_zero_or_one_of_measurableSet_limsup_atBot, ContinuousLinearMap.holder_add_right, MeasureTheory.Lp.enorm_def, IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero_symm, differentiableWithinAt_smul_iff, Affine.Simplex.touchpoint_empty_notMem_affineSpan_of_ne, MeasureTheory.condExpInd_disjoint_union_apply, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, iteratedDeriv_one, EuclideanGeometry.Sphere.IsTangentAt_iff_angle_eq_pi_div_two, differentiableWithinAt_add_const_iff, continuousAt_hom_bundle, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, Submodule.fstL_comp_coe_orthogonalDecomposition, Meromorphic.sum, UpperHalfPlane.contMDiffAt_iff, contMDiffOn_extend_symm, StrongConvexOn.strictConvexOn, Orientation.kahler_apply_apply, Module.Basis.ofZLatticeBasis_comap, isStarProjection_iff_eq_starProjection_range, ContinuousLinearMap.add_compLpL, Orientation.inner_rightAngleRotationAux₁_left, MeasureTheory.integral_indicator_const, UpperHalfPlane.instIsManifoldComplexModelWithCornersSelfTopWithTopENat, MeasureTheory.Lp.simpleFunc.aestronglyMeasurable, contMDiff_add, AnalyticAt.continuousAt, IsHilbertSum.linearIsometryEquiv_symm_apply_single, SchwartzMap.toZeroAtInfty_toBCF, ModelWithCorners.toHomeomorph_apply, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', setOf_riemmanianEDist_lt_subset_nhds', Complex.taylorSeries_eq_on_eball', VonNeumannAlgebra.mem_commutant_iff, exists_embedding_euclidean_of_compact, UnitAddTorus.mFourierBasis_repr, MeasureTheory.condExpIndL1Fin_ae_eq_condExpIndSMul, HasFPowerSeriesAt.prod, hasStrictDerivAt_natCast, LinearIsometryEquiv.toLinearIsometry_rTensor, LineDeriv.tensorLineDerivTwo_canonicalCovariantTensor_eq_sum, Orientation.areaForm_apply_self, ModularForm.slash_def, MeasureTheory.Lp.norm_measure_zero, Function.Periodic.contDiff_qParam, LeftInvariantDerivation.toDerivation_injective, Submodule.starProjection_minimal, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, MeasureTheory.tendsto_indicatorConstLp_set, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, lineDeriv_smul, MeasureTheory.integrable_rnDeriv_smul_iff, LipschitzWith.coeFn_compLp, Complex.analyticOnNhd_iff_differentiableOn, LinearMap.continuous_of_isClosed_graph, Asymptotics.isLittleO_id_const, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, ProbabilityTheory.strong_law_ae_simpleFunc_comp, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, Affine.Simplex.sSameSide_point_excenter_singleton, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, closedBall_rpow_sub_one_eq_empty_aux, fourierBasis_repr, MeasureTheory.condExp_stronglyMeasurable_mul_of_bound₀, AffineSubspace.signedInfDist_def, MeasureTheory.Measure.addHaar_closedBall, HasFPowerSeriesWithinAt.add, Metric.isPathConnected_eball, Submodule.starProjection_mem_subspace_eq_self, Affine.Simplex.acuteAngled_reindex_iff, MeasureTheory.BoundedContinuousFunction.inner_toLp, Diffeomorph.prodComm_symm, ContinuousLinearMap.adjoint_inner_right, Submodule.angle_coe, NormedAddGroupHom.extension_def, Prod.instLieAddGroup, HasMFDerivAt.prodMk, CStarModule.continuous_inner, MeasureTheory.submartingale_iff_condExp_sub_nonneg, FormalMultilinearSeries.id_apply_of_one_lt, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, MeasureTheory.integral_fintype_prod_volume_eq_prod, CuspFormClass.zero_at_infty_slash, MeasureTheory.Lp.coeFn_neg, TensorProduct.norm_tmul, ContDiff.contDiff_fderiv_apply, LinearMap.isPositive_iff, MeasureTheory.L1.norm_Integral_le_one, Metric.contractibleSpace_closedEBall, ContinuousLinearMap.measurable_apply', ContDiffMapSupportedIn.coe_coeHom, VectorFourier.fourierIntegral_comp_add_right, InnerProductSpace.isOpen_setOf_harmonicAt, ContDiffMapSupportedIn.postcompLM_apply, Affine.Simplex.mem_altitude, Affine.Simplex.isDiameter_ninePointCircle, MeromorphicOn.fun_sum, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, ContDiff.dimH_range_le, signedDist_lineMap_right, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, TemperedDistribution.laplacian_apply_apply, ODE.FunSpace.mem_closedBall₀, MeasureTheory.Lp.coeFn_abs, MeasureTheory.Integrable.uniformIntegrable_condExp_filtration, MeasureTheory.stronglyAdapted_predictablePart, MeasureTheory.withDensityᵥ_smul', Affine.Triangle.sSameSide_affineSpan_pair_point_excenter_singleton, ModularForm.is_invariant_one', Affine.Triangle.dist_div_sin_angle_div_two_eq_circumradius, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, hasDerivAtFilter_const, Real.integral_rpow_mul_exp_neg_mul_Ioi, SchwartzMap.tsupport_derivCLM_subset, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, deriv_fun_const_smul_field, tendsto_integral_exp_inner_smul_cocompact, OrthonormalBasis.coe_toBasis_repr_apply, Affine.Simplex.mongePlane_reindex, mdifferentiableWithinAt_iff_source_of_mem_source, MeasureTheory.Lp.norm_eq_zero_iff, VectorField.leibniz_identity_lieBracket, UpperHalfPlane.mdifferentiable_coe, differentiableOn_apply, Trivialization.contMDiffOn_symm, ZLattice.normBound_spec, HasSumUniformlyOn.of_norm_le_summable, HasFPowerSeriesOnBall.continuousOn, EuclideanGeometry.angle_const_sub, LinearIsometryEquiv.star_eq_symm, ContinuousLinearEquiv.dimH_preimage, BoundedContinuousFunction.coe_negPart, ContDiffBump.normed_le_div_measure_closedBall_rIn, hasStrictFDerivAt_add_const_iff, SchwartzMap.integral_smul_laplacian_right_eq_left, Real.enorm_abs, SchwartzMap.le_seminorm', differentiableAt_pi, Filter.EventuallyEq.isEquivalent, Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two, EuclideanGeometry.reflection_involutive, Real.Angle.eq_add_pi_of_two_zsmul_eq_of_sign_eq_neg, FormalMultilinearSeries.radius_prod_eq_min, analyticAt_mul, integral_complex_ofReal, ModelWithCorners.isClosed_range, OrthonormalBasis.coe_equiv_euclideanSpace, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, MeasureTheory.eLpNorm_eq_zero_and_zero_of_ae_le_mul_neg, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, SchwartzMap.instFourierInvPair, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, Orientation.rightAngleRotation_map, ProbabilityTheory.evariance_eq_zero_iff, integral_inv_one_add_sq, VectorFourier.norm_fourierSMulRight_le, continuousWithinAt_hom_bundle, AlternatingMap.measure_parallelepiped, EuclideanGeometry.Sphere.isTangentAt_iff_dist_sq_eq_power, ContinuousAffineMap.hasFDerivWithinAt, inner_self_eq_one_of_norm_one, IsContDiffImplicitAt.comp_implicitFunctionAux_eq_snd, PeriodPair.weierstrassPExceptSeries_hasSum, MeasureTheory.charFunDual_map, ModelWithCorners.continuousAt_symm, hasFDerivWithinAt_add_const_iff, HasFiniteFPowerSeriesOnBall.fderiv', Orientation.two_zsmul_oangle_smul_left_self, Monotone.intervalIntegrable, Orientation.kahler_rotation_right, Complex.arg_pow_coe_angle, integral_Ioi_cpow_of_lt, Submodule.orthogonalProjectionFn_eq, MeasureTheory.charFun_dirac, ProbabilityTheory.Kernel.setIntegral_density, Fourier.fourierIntegral_def, ModularFormClass.analyticAt_cuspFunction_zero, ContinuousMultilinearMap.currySum_apply, isOpenMap_barycentric_coord, TensorProduct.nnnorm_comm, Submodule.IsOrtho.ge, ApproximatesLinearOn.continuousOn, Affine.Simplex.signedInfDist_affineCombination, tendsto_sum_mul_atTop_nhds_one_sub_integral, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, TemperedDistribution.lineDerivOp_apply_apply, ImplicitFunctionData.toOpenPartialHomeomorph_coe, Complex.HadamardThreeLines.diffContOnCl_invInterpStrip, MeasureTheory.Lp.coeFn_sub, ProbabilityTheory.strong_law_aux2, Submodule.bot_orthogonal_eq_top, intervalIntegral.mul_integral_comp_mul_right, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, signedDist_apply, Unitization.norm_splitMul_snd_sq, curveIntegral_cast, interior_closedBall', Set.EqOn.deriv, MeasureTheory.memLp_neg_iff, ContinuousLinearMap.IsPositive.conj_starProjection, MeasureTheory.integrable_pi_iff, ProbabilityTheory.iIndepFun.integral_fun_prod_eq_prod_integral, ContMDiffAt.prodMk, intervalIntegral.norm_integral_le_abs_integral_norm, measurable_fderiv, continuousMultilinearCurryRightEquiv_apply', MeasureTheory.Lp.meas_ge_le_mul_pow_enorm, EuclideanSpace.inner_toLp_toLp, Bundle.contMDiffAt_proj, UnitAddTorus.hasSum_sq_mFourierCoeff, TemperedDistribution.lineDerivOp_fourierInv_eq, HasFPowerSeriesWithinOnBall.continuousWithinAt_insert, MonotoneOn.memLp_isCompact, Submodule.map_orthogonal, Polynomial.Chebyshev.integral_eval_T_real_mul_eval_T_real_measureT_of_ne, fourierCoeffOn_eq_integral, HurwitzZeta.hurwitzOddFEPair_g, ProbabilityTheory.IsGaussian.charFunDual_eq_of_integral_eq_zero, sphere_ext_iff, VonNeumannAlgebra.coe_commutant, ContDiffMapSupportedIn.bounded_iteratedFDeriv, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, Matrix.l2_opNNNorm_diagonal, HasFTaylorSeriesUpToOn.differentiableOn, MeasureTheory.SimpleFunc.integral_const, MeromorphicOn.negPart_divisor_add_le_add, MeromorphicAt.deriv, homeomorphUnitSphereProd_apply_snd_coe, ProbabilityTheory.isGaussian_map_equiv, differentiableWithinAt_const_sub_iff, contMDiffAt_addInvariantVectorField, integral_sin_pow_odd, EuclideanGeometry.dist_affineCombination, Complex.circleTransformDeriv_bound, hasStrictDerivAt_zero, MonotoneOn.integrableOn_of_measure_ne_top, VectorBundleCore.coordChange_linear_comp, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, ContinuousAlternatingMap.alternatizeUncurryFin_add, Units.contMDiff_val, contMDiff_tangentBundleModelSpaceHomeomorph, Orientation.oangle_sign_smul_add_smul_right, Module.Basis.ofZLatticeComap_repr_apply, Real.Angle.nsmul_toReal_eq_mul, signedDist_eq_dist_iff_vsub_mem_span, EuclideanGeometry.Sphere.mem_commonIntTangents_iff, ProbabilityTheory.covarianceBilin_map_const_add, HasSolidNorm.orderClosedTopology, AffineSubspace.direction_perpBisector, TestFunction.hasCompactSupport, Besicovitch.multiplicity_le, curveIntegralFun_symm, volume_regionBetween_eq_integral, FormalMultilinearSeries.coeff_iterate_fslope, AffineSubspace.angle_coe, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, DomMulAct.nnnorm_smul_Lp, FormalMultilinearSeries.leftInv_removeZero, modelWithCornersSelf_coe, conformalAt_iff_differentiableAt_or_differentiableAt_comp_conj, deriv_const_smul', PadicInt.continuousAddCharEquiv_symm_apply, intervalIntegral.integral_comp_mul_right, analyticAt_clog, ImplicitFunctionData.prod_map_implicitFunction, OrthonormalBasis.same_orientation_iff_det_eq_det, ProbabilityTheory.IsGaussian.charFun_eq, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, ClosedSubmodule.orthogonal_disjoint, ContDiff.differentiable_iteratedDeriv', Affine.Simplex.ninePointCircle_map, iteratedFDerivWithin_const_of_ne, ContinuousAt.inner_bundle, MeasureTheory.lintegral_enorm_of_ae_nonneg, ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, TensorProduct.norm_map, EuclideanGeometry.dist_smul_vadd_eq_dist, derivWithin_Ioi_eq_Ici, dist_birkhoffAverage_birkhoffAverage_le, ContinuousLinearMap.coe_le_coe_iff, integral_gaussian_complex, MeasureTheory.integral_singleton, intervalIntegral.integral_comp_div_sub, coe_ringEquiv_lpBCF_symm, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, SmoothPartitionOfUnity.mem_fintsupport_iff, AnalyticAt.eventually_analyticAt, Emetric.exists_smooth_forall_closedBall_subset, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, MeasureTheory.SimpleFunc.integrable_iff_finMeasSupp, Real.hasFDerivAt_fourierChar_neg_bilinear_right, MeasureTheory.lintegral_nnnorm_condExpIndSMul_le, EuclideanGeometry.orthogonalProjection_eq_self_iff, LinearIsometryEquiv.differentiableAt, LipschitzWith.continuous_compLp, ContinuousWithinAt.inner_bundle, LinearIsometryEquiv.differentiable, intervalIntegral.inv_mul_integral_comp_div, isInvertible_mfderiv_extChartAt, AnalyticAt.pi, AffineSubspace.mem_perpBisector_iff_inner_eq, WeakFEPair.f_modif_aux1, MeasureTheory.Lp.smul_assoc, ContDiffMapSupportedIn.continuous_iff_comp, ContinuousMultilinearMap.norm_map_insertNth_le, EuclideanGeometry.reflection_subtype, ProbabilityTheory.strong_law_aux3, HasFPowerSeriesAt.coeff_zero, Submodule.orthogonal_le_orthogonal_iff, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral, ModelWithCorners.coe_transContinuousLinearEquiv, SchwartzMap.integral_inner_fourier_fourier, Submodule.orthogonal_le_iff_orthogonal_le, ModularFormClass.holo, ContDiffOn.comp_continuousLinearMap, VectorFourier.norm_fourierSMulRight, mdifferentiableWithinAt_prod_module_iff, MeasureTheory.integrable_condExpIndSMul, mdifferentiableAt_iff_target, InnerProductSpace.volume_closedBall, ContinuousLinearEquiv.coord_norm', HasFPowerSeriesOnBall.hasSum_sub, Function.Periodic.integral_le_sSup_add_zsmul_of_pos, stereographic'_symm_apply, contMDiff_pi_space, contMDiffAt_extChartAt', Bundle.Trivial.symmₗ_trivialization, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, MeasureTheory.eLpNorm_const_lt_top_iff, hasMFDerivAt_snd, NormedSpace.norm_smul_normalize, hom_chart, ContinuousLinearMap.isPositive_zero, integral_exp_mul_complex_Iic, circleIntegral.integral_sub_center_inv, homeomorphSphereProd_apply_fst_coe, uniqueMDiffWithinAt_iff_uniqueDiffWithinAt, MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_left_of_lt, MeasureTheory.ConvolutionExists.distrib_add, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_two, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, strongConvexOn_iff_convex, LipschitzWith.compLp_zero, Module.Basis.ofZLatticeBasis_repr_apply, MeasureTheory.Measure.addHaar_real_closedBall_eq_addHaar_real_ball, EuclideanGeometry.angle_right_midpoint_eq_pi_div_two_of_dist_eq, Orientation.oangle_eq_pi_iff_sameRay_neg, MeasureTheory.charFunDual_pi, strongConvexOn_zero, contDiff_tsum_of_eventually, iteratedDerivWithin_add, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, ContDiff.snd', FormalMultilinearSeries.radius_eq_top_iff_summable_norm, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, VectorPrebundle.totalSpaceMk_preimage_source, MonotoneOn.memLp_top, SchwartzMap.fourier_convolution_apply, FiniteDimensional.proper_real, BoxIntegral.Integrable.tendsto_integralSum_sum_integral, intervalIntegral.integral_eq_zero_iff_of_nonneg_ae, ProbabilityTheory.strong_law_ae_real, MeasureTheory.SimpleFunc.setToSimpleFunc_const', MeasureTheory.condExpL1_zero, iteratedFDeriv_two_apply, MDifferentiableWithinAt.prodMap, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, SchwartzMap.instContinuousFourier, MeasureTheory.Lp.compMeasurePreserving_continuous, Submodule.starProjection_le_starProjection_iff, ContDiffAt.inner, TestFunction.coe_toBoundedContinuousFunction, iteratedFDerivWithin_zero_fun, SummableLocallyUniformlyOn_of_locally_bounded, TangentBundle.coe_chartAt_symm_fst, ContDiffAt.smul, ExistsContDiffBumpBase.w_integral, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, ContinuousLinearMap.analyticOnNhd, fderiv_fst, ProbabilityTheory.deriv_cgf_zero, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, intervalIntegral.integral_comp_mul_deriv', Irreducible.maximalIdeal_pow_eq_closedBall_pow, ContDiffAt.continuousAt, ProbabilityTheory.IsGaussian.memLp_two_fun_id, ContDiffOn.continuousOn_deriv_of_isOpen, MeasureTheory.Lp.coeFn_posPart, Orientation.oangle_rotation_self_right, ContinuousAlternatingMap.differentiable, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, hom_trivializationAt_apply, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, ContinuousLinearEquiv.uniqueDiffOn_image_iff, ModelWithCorners.isClosedEmbedding, ContinuousMap.elemental_id_eq_top, LinearMap.eq_adjoint_iff_basis_right, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, Bundle.contMDiffWithinAt_section, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, Real.differentiable_fourierChar_neg_bilinear_left, Submodule.instOrthogonalCompleteSpace, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ModularForm.is_invariant_const, AffineBasis.centroid_mem_interior_convexHull, MeasureTheory.isTightMeasureSet_iff_tendsto_measure_norm_gt, Asymptotics.isEquivalent_zero_iff_isBigO_zero, ProbabilityTheory.IsGaussian.ext_iff, fderiv_norm_smul_pos, Complex.nnnorm_I, EuclideanGeometry.concyclic_or_collinear_of_two_zsmul_oangle_eq, FormalMultilinearSeries.le_radius_pi, integral_Ioi_inv_one_add_sq, Real.circleAverage_mono, contDiffAt_pi, continuousMultilinearCurryLeftEquiv_symm_apply, MeasureTheory.integral_def, WithLp.unitization_mul, fourierCoeff_liftIoc_eq, MeasureTheory.Measure.addHaar_closedBall_mul, IsUnit.integrable_smul_iff, Bundle.mdifferentiableOn_zeroSection, hasFDerivAtFilter_const_add_iff, meromorphicOrderAt_add_eq_right_of_lt, DoubleCentralizer.instStarModule, MeasureTheory.L1.norm_sub_eq_lintegral, iteratedFDeriv_comp_add_right', VectorBundleCore.localTriv.isLinear, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, MeasureTheory.Measure.integral_isAddLeftInvariant_isAddRightInvariant_combo, instOrderIsoClassContinuousLinearMapIdOfNonUnitalAlgEquivClassOfStarHomClassOfContinuousMapClass, ContinuousLinearMap.contDiff, TemperedDistribution.instContinuousFourierInv, Polynomial.Chebyshev.integral_eval_T_real_mul_self_measureT_zero, differentiable_star_iff, ContinuousLinearMap.instBorelSpace, MeasureTheory.norm_indicatorConstLp', LinearMap.isStarProjection_iff_isSymmetricProjection, LinearIsometryEquiv.toLinearEquiv_rTensor, CStarAlgebra.star_right_conjugate_le_norm_smul, AnalyticOnNhd.map_codiscreteWithin, Finset.analyticWithinAt_sum, iteratedDerivWithin_scomp_two, AnalyticOn.differentiableOn, PiLp.inner_apply, SchwartzMap.integrable, TestFunction.instContinuousSMulReal, MeasureTheory.integral_comp_mul_left_Ioi, MeasureTheory.Lp.neg_smul_neg, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, ContMDiffSection.mdifferentiable', ModularForm.SL_slash_apply, MeasureTheory.Measure.instIsLocallyFiniteMeasureMeasure, contMDiff_tangentBundleModelSpaceHomeomorph_symm, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff, MeasureTheory.isometry_lpMeasSubgroupToLpTrim, Submodule.isOrtho_self, LinearIsometryEquiv.toLinearIsometry_lTensor, MeasureTheory.integrable_condExpL1, Real.Angle.abs_toReal_add_eq_two_pi_sub_abs_toReal_add_abs_toReal, ContinuousLinearMap.smul_compLpL, tendstoUniformly_tsum, NormedSpace.cobounded_neBot, IsContDiffImplicitAt.implicitFunction_def, differentiableAt_of_deriv_ne_zero, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, ProbabilityTheory.instIsGaussianMapHAdd, VonNeumannAlgebra.instStarMemClass, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, contMDiffOn_coordChangeL, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, ProbabilityTheory.iIndepFun.integral_fun_prod_comp, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, integral_exp_neg_Ioi_zero, MeasureTheory.measure_smul_setAverage, ClosedSubmodule.orthogonal_closure, ContDiffPointwiseHolderAt.iteratedFDeriv, ContinuousLinearMap.norm_compLpL_le, contMDiffOn_model_symm, ZSpan.vadd_mem_fundamentalDomain, DomMulAct.smul_Lp_const, MeasureTheory.Measure.LinearMap.quasiMeasurePreserving, nnnorm_tangentSpace_vectorSpace, mfderiv_eq_fderiv, Asymptotics.isEquivalent_map, hasGradientWithinAt_iff_tendsto, mfderiv_fst, OrthonormalBasis.toMatrix_orthonormalBasis_mem_orthogonal, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, EuclideanSpace.inner_single_right, sum_mul_eq_sub_integral_mul, derivWithin_add_const, TemperedDistribution.fourier_apply, Memℓp.add, fderiv_comp_add_left, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, Orientation.areaForm_rightAngleRotation_right, MeasurableEquiv.gaussianReal_map_symm_apply, MeasureTheory.setIntegral_condExpL1CLM, MeasureTheory.L1.hasFiniteIntegral_coeFn, SchwartzMap.lineDerivOp_apply, OrthonormalBasis.orientation_adjustToOrientation, ContDiffAt.continuousAt_iteratedFDeriv, ZSpan.fract_apply, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, Orientation.oangle_sign_add_right, Module.Basis.map_addHaar, ContinuousLinearMap.cpolynomialOn, contDiff_norm_rpow, MeasureTheory.hasFiniteIntegral_congr', FiniteDimensional.proper, fderiv_comp_sub, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq', HasFPowerSeriesAt.continuousAt, continuousMultilinearCurryFin1_symm_apply, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, ProbabilityTheory.indepFun_iff_integral_comp_mul, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, differentiableWithinAt_comp_add_left, Trivialization.symmL_apply, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, hasMellin_cpow_Ioc, intervalIntegral.integral_comp_mul_add, FormalMultilinearSeries.radius_pi_le, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, tsum_sq_fourierCoeff, hom_trivializationAt_baseSet, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, ContinuousLinearMap.mdifferentiableOn, MeasureTheory.eLpNorm_condExpL2_le, intervalIntegral.integral_pos, Affine.Simplex.touchpoint_mem_affineSpan_simplex, PadicInt.mahlerEquiv_symm_apply, aemeasurable_derivWithin_Ici, Orientation.inner_smul_rotation_pi_div_two_smul_left, integral_sin_pow, closure_diff_intrinsicInterior, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, ProbabilityTheory.iIndepFun.integral_prod_comp, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, SchwartzMap.coe_apply, MeasureTheory.Measure.addHaar_ball, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, integral_mul_cpow_one_add_sq, ContinuousLinearEquiv.coord_self, EuclideanGeometry.angle_eq_zero_iff_ne_and_wbtw, sub_smul_dslope, AntitoneOn.integral_le_sum, integral_gaussian_Ioi, MeasureTheory.condExp_bot', Orientation.oangle_smul_right_of_pos, norm_iteratedFDeriv_smul_le, ContDiffAt.differentiableAt_iteratedFDeriv, LinearMap.IsPositive.adjoint_eq, abs_real_inner_div_norm_mul_norm_eq_one_iff, ContDiffBump.tendsto_support_normed_smallSets, MeasureTheory.Integrable.smul_const, continuousAt_extChartAt_symm'', ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, iteratedDeriv_vcomp_two, ContinuousLinearEquiv.coord_norm, ContDiffOn.prodMk, fderiv_norm_rpow, ContMDiffSection.mdifferentiableAt, ProbabilityTheory.instIsGaussianProdProdOfSecondCountableTopologyEither, VectorBundleCore.mem_localTrivAt_baseSet, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, CurveIntegrable.trans, MeasureTheory.L1.integral_eq', Matrix.toEuclideanLin_eq_toLin_orthonormal, contDiffWithinAt_snd, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, VectorField.lieBracketWithin_eq, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, contDiffAt_piLp, Affine.Simplex.circumsphere_reindex, isStarProjection_iff_eq_starProjection, Real.enorm_eq_ofReal, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, OpenPartialHomeomorph.continuousOn_extend, ContDiffBump.tsupport_normed_eq, Orientation.inner_smul_rotation_pi_div_two_smul_right, derivWithin_congr_set, Asymptotics.IsLittleO.sum_range, hasDerivWithinAt_intCast, MeasureTheory.Lp.simpleFunc.denseRange_coeSimpleFuncNonnegToLpNonneg, CircleIntegrable.out, RCLike.intervalIntegral_ofReal, VonNeumannAlgebra.instSubringClass, contDiffOn_infty_iff_deriv_of_isOpen, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, MeasureTheory.exists_eLpNorm_indicator_le, Real.Icc_mem_vitaliFamily_at_right, ContinuousMultilinearMap.norm_map_cons_le, Real.circleAverage_add, EuclideanGeometry.orthogonalProjection_apply, Metric.isConnected_eball, curveIntegral_def', Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, LeftInvariantDerivation.commutator_apply, EuclideanGeometry.Sphere.direction_orthRadius, mdifferentiableWithinAt_iff_of_mem_source, Bundle.ContinuousLinearMap.memTrivializationAtlas, UpperHalfPlane.mdifferentiableAt_iff, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, ODE.FunSpace.compProj_mem_closedBall, Complex.rightAngleRotation, EuclideanGeometry.eq_reflection_of_eq_subspace, EuclideanGeometry.dist_sq_add_dist_sq_eq_two_mul_dist_midpoint_sq_add_half_dist_sq, fourierCoeffOn_of_hasDerivAt, EuclideanGeometry.inner_pos_of_dist_lt_radius, Affine.Simplex.circumradius_reindex, ContinuousLinearMap.hasDerivWithinAt, Real.Angle.two_nsmul_neg_pi_div_two, UpperHalfPlane.IsZeroAtImInfty.slash, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, differentiableWithinAt_piLp, LinearIsometry.rTensor_apply, hasStrictFDerivAt_pow, continuousOn_taylorWithinEval, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, Bundle.Prod.contMDiffVectorBundle, ContinuousLinearEquiv.differentiableWithinAt, Matrix.l2_opNNNorm_conjTranspose_mul_self, fderiv_comp_smul, Submodule.instHasOrthogonalProjectionTop, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, MeasureTheory.hasFiniteIntegral_iff_norm, LinearIsometry.toLinearMap_lTensor, EuclideanGeometry.orthogonalProjection_mem_orthogonal, ImplicitFunctionData.toPartialHomeomorph_apply, HasFiniteFPowerSeriesAt.continuousAt, integral_sin_sq_mul_cos_sq, FormalMultilinearSeries.norm_changeOriginSeriesTerm, PiLp.hasStrictFDerivAt_ofLp, MeromorphicAt.fun_add, integral_mul_rpow_one_add_sq, curveIntegral_add, AnalyticOn.prod, TensorProduct.nndist_tmul_le, InnerProductGeometry.angle_eq_pi_iff, HasFTaylorSeriesUpTo.zero_eq', MeasureTheory.charFun_map_eq_charFunDual_smul, SchwartzMap.isBigO_cocompact_zpow, inner_vsub_vsub_left_eq_dist_sq_left_iff, ContinuousLinearEquiv.analyticAt, ArithmeticFunction.iteratedDeriv_LSeries_alternating, FDerivMeasurableAux.isOpen_B, BoxIntegral.hasIntegral_iff, InnerProductSpace.continuousLinearMapOfBilin_apply, HasCompactSupport.deriv, instFieldContMDiffRing, hasGradientWithinAt_iff_isLittleO, ProbabilityTheory.condVar_ae_eq_condExp_sq_sub_sq_condExp, curveIntegralFun_trans_of_lt_half, OpenPartialHomeomorph.map_extend_symm_nhdsWithin_range, fourierCoeffOn.const_smul, Matrix.cstar_norm_def, PointwiseConvergenceCLM.withSeminorms, abs_integral_sub_setIntegral_mulExpNegMulSq_comp_lt, interior_sphere', MeasureTheory.convolution_eq_swap, Real.Angle.tan_add_pi, Real.fourierInv_eq, intervalIntegral.sub_le_integral_of_hasDeriv_right_of_le_Ico, isInvertible_mfderivWithin_extChartAt_symm, ModelWithCorners.coe_transContinuousLinearEquiv_symm, UniqueMDiffWithinAt.prod, isConformalMap_complex_linear, Real.zero_at_infty_vector_fourierIntegral, mdifferentiable_prod_module_iff, differentiable_finCons, ContDiff.fderiv_right, ModularForm.coe_translate, hasDerivAt_const_add_iff, LocallyCompactSpace.of_locallyCompact_manifold, continuous_posPart, ProperCone.innerDual_iUnion, ContinuousMultilinearMap.curryFinFinset_symm_apply, equivTangentBundleProd_symm_apply_proj, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', norm_injOn_ray_left, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, ContDiffOn.deriv_of_isOpen, SchwartzMap.tsum_eq_tsum_fourierIntegral, FormalMultilinearSeries.id_apply_one, MeasureTheory.integrableOn_Ioi_comp_mul_right_iff, ContinuousLinearEquiv.comp_contDiff_iff, ContMDiffSection.mdifferentiable, Orientation.kahler_rightAngleRotation_right, Real.Angle.sin_antiperiodic, TestFunctionClass.tsupport_map_subset, ContinuousLinearMap.norm_snd, ZSpan.repr_floor_apply, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv, inner_matrix_row_row, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, ExistsContDiffBumpBase.u_compact_support, ContinuousLinearMap.iteratedFDeriv_comp_right, ContDiffWithinAt.analyticOn, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, meromorphicOrderAt_add_of_top_right, MeasureTheory.Lp.simpleFunc.isDenseInducing, DiffContOnCl.differentiableOn, MeasureTheory.Measure.addHaar_closedBall_center, InnerProductGeometry.inner_eq_cos_angle_of_norm_eq_one, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, contDiff_snd, ContinuousMultilinearMap.apply_zero_uncurry0, integral_Iic_inv_one_add_sq, IsRiemannianManifold.out, SmoothPartitionOfUnity.toPartitionOfUnity_toFun, IsOpen.affineSpan_eq_top, ProbabilityTheory.IsRatCondKernelCDFAux.tendsto_integral_of_monotone, EuclideanGeometry.inner_vsub_vsub_of_mem_sphere_of_mem_sphere, ContDiff.continuousLinearMap_comp, ContinuousLinearMap.norm_holderL_le, hasFDerivWithinAt_pow, ProbabilityTheory.condIndepFun_iff, Affine.Triangle.sSameSide_affineSpan_pair_excenter_singleton_point, lp.uniformContinuous_coe, contDiff_infty_iff_fderiv, MeasureTheory.charFun_eq_integral_innerProbChar, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, interval_average_eq, MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, MeasureTheory.lpMeas.ae_fin_strongly_measurable', Metric.instTietzeExtensionClosedBall, curveIntegral_sub, ContMDiffWithinAt.prodMap, RCLike.nnnorm_nsmul, ContDiffWithinAt.prodMk, HasGradientAt.fderiv_apply, SchwartzMap.instFourierInvSMul, differentiableWithinAt_complex_iff_differentiableWithinAt_real, ContinuousLinearMap.comp_analyticOnNhd, TemperedDistribution.derivCLM_apply_apply, OrthonormalBasis.tensorProduct_apply, Bundle.mdifferentiable_zeroSection, integral_cos_sq, TorusIntegrable.function_integrable, LinearIsometryEquiv.integrable_comp_iff, range_derivWithin_subset_closure_span_image, ContDiffWithinAt.differentiableWithinAt', contMDiffAt_fst, mdifferentiableWithinAt_prod_iff, MeasureTheory.Supermartingale.smul_nonneg, LeftInvariantDerivation.ext_iff, abs_signedDist_le_dist, norm_iteratedFDeriv_zero, Orientation.norm_kahler, mfderiv_subtype_coe_Icc_one, VectorField.mlieBracketWithin_eq_lieBracketWithin, Complex.taylorSeries_eq_of_entire', MeasureTheory.integral_count, MeasureTheory.condExpIndSMul_smul', LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, MeasureTheory.weightedSMul_smul_measure, MeasureTheory.integrable_count_iff, Real.integral_rpowIntegrand₀₁_eq_rpow_mul_const, BoundedContinuousFunction.exists_norm_eq_restrict_eq, LinearMap.hasDerivAtFilter, IsLocalFrameOn.mdifferentiableAt_of_coeff, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, ProperCone.innerDual_toSubmodule, TangentBundle.chartAt_toPartialEquiv, ImplicitFunctionData.toOpenPartialHomeomorph_apply, CurveIntegrable.sub, Meromorphic.Gamma, InnerProductSpace.HarmonicAt.comp_CLM, Orientation.inner_rightAngleRotation_self, ValueDistribution.proximity_coe, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpLpMeasSubgroupOfFactLeMeasurableSpace, Real.Angle.two_nsmul_coe_pi, smul_closedBall, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, ProbabilityTheory.instIsGaussianMapHSub_1, MeasureTheory.hausdorffMeasure_homothety_preimage, ContinuousLinearEquiv.comp_contDiffAt_iff, ContinuousAlternatingMap.hasFDerivAt, FormalMultilinearSeries.summable, HasFPowerSeriesAt.locally_zero_iff, Affine.Triangle.dist_div_sin_oangle_div_two_eq_circumradius, InnerProductSpace.laplacian_CLE_comp_left, hasDerivAt_iff_tendsto_slope, MeasureTheory.tendsto_iff_forall_lipschitz_integral_tendsto, ContinuousLinearMap.analyticAt_bilinear, ProbabilityTheory.gaussianReal_apply_eq_integral, EuclideanGeometry.affineIndependent_iff_of_two_zsmul_oangle_eq, eventually_norm_trivializationAt_lt, TensorProduct.congrIsometry_apply, integral_withDensity_eq_integral_smul₀, ZMod.dft_eq_fourier, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', ProbabilityTheory.IsGaussian.charFunDual_eq', HasFPowerSeriesAt.hasStrictFDerivAt, MeasureTheory.integrable_const_add_iff, OrthonormalBasis.addHaar_eq_volume, OrthonormalBasis.det_to_matrix_orthonormalBasis_real, Complex.enorm_exp_ofReal_mul_I, AnalyticOnNhd.fun_const_smul, ModelWithCorners.uniqueDiffOn_preimage_source, MeasureTheory.integral_prod_smul, ProbabilityTheory.condExp_eq_zero_or_one_of_condIndepSet_self, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, ImplicitFunctionData.map_implicitFunction_nhdsWithin_preimage, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, iteratedFDerivWithin_comp_sub', MeasureTheory.integrableOn_Ioi_comp_rpow_iff, SmoothBumpFunction.nhdsWithin_range_basis, differentiableOn_finCons, MeasureTheory.lpTrimToLpMeasSubgroup_ae_eq, AnalyticAt.map_nhdsNE, ProbabilityTheory.analyticOnNhd_complexMGF, ProbabilityTheory.IsRatCondKernelCDFAux.setIntegral, HasSolidNorm.continuousSup, ContDiffAt.prodMk, ContinuousLinearMap.isPositive_one, ContinuousLinearMap.isPositive_sum, Orientation.oangle_smul_right_self_of_nonneg, MeasureTheory.L1.integral_sub, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, ZSpan.fract_eq_fract, hasDerivAt_pi, MeasureTheory.Lp.coeFn_inf, MeasureTheory.ContinuousMap.inner_toLp, ProbabilityTheory.setIntegral_stieltjesOfMeasurableRat_rat, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, InnerProductGeometry.continuousAt_angle, SlashInvariantForm.coeHom_injective, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, intervalIntegral.norm_integral_le_abs_of_norm_le, MeasureTheory.integrable_fun_norm_addHaar, ProbabilityTheory.analyticAt_iteratedDeriv_mgf, SchwartzMap.toZeroAtInfty_apply, LinearMap.toMatrix_adjoint, ProbabilityTheory.isPositive_covarianceOperator, extChartAt_target_eventuallyEq_of_mem, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Orientation.oangle_add_left_eq_arccos_of_oangle_eq_pi_div_two, Orientation.inner_rev_eq_zero_of_oangle_eq_pi_div_two, hasDerivWithinAt_finCons, inner_eq_one_iff_of_norm_one, EisensteinSeries.eisensteinSeries_slash_apply, Metric.isPreconnected_closedBall, Affine.Simplex.height_reindex, exists_eq_interval_average, contMDiffAt_pi_space, exists_smooth_zero_one_nhds_of_isClosed, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, ValueDistribution.characteristic_sum_top_eventuallyLE, ZLattice.sum_piFinset_Icc_rpow_le, contMDiffOn_iff_target, FormalMultilinearSeries.rightInv_coeff, differentiableAt_dslope_of_ne, Affine.Simplex.inradius_map, Complex.map_isometryOfOrthonormal, tangentMap_prod_right, integral_exp_Iic_zero, Complex.arg_mul_coe_angle, Metric.instTietzeExtensionBall, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, Meromorphic.smul, TemperedDistribution.fourierTransformInv_apply, MeasureTheory.L1.SimpleFunc.integral_L1_eq_integral, Orientation.oangle_neg_orientation_eq_neg, FormalMultilinearSeries.summable_norm_apply, Orientation.oangle_sign_smul_add_smul_left, summable_of_sum_range_norm_le, uniqueDiffOn_extChartAt_target, contMDiffOn_vectorSpace_iff_contDiffOn, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, MeromorphicOn.iterated_deriv, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, ContDiffOn.norm, mfderiv_neg, ModularFormClass.qExpansionFormalMultilinearSeries_coeff, VectorBundle.pullback, derivWithin_of_isOpen, AddCircle.toCircle_nsmul, ContDiffOn.prodMap, Real.Angle.sin_eq_real_sin_iff_eq_or_add_eq_pi, EuclideanGeometry.Sphere.secondInter_eq_lineMap, extChartAt_target_mem_nhds, sum_mul_eq_sub_integral_mul₀, measurable_derivWithin_Ici, DomAddAct.dist_vadd_Lp, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, hasFDerivWithinAt_iff_tendsto, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, UpperHalfPlane.contMDiff_smul, TensorProduct.nnnorm_lid, LinearMap.im_inner_adjoint_mul_self_eq_zero, differentiableAt_iff_comp_const_add, eqOn_iteratedDerivWithin_cotTerm_integerComplement, ProbabilityTheory.IndepFun.charFun_map_add_eq_mul, ValueDistribution.log_counting_zero_sub_logCounting_top, TestFunction.coeFnAddMonoidHom_apply, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', fderivWithin_comp_add_right, Real.fourierInv_eq', signedDist_apply_linear, EuclideanGeometry.Sphere.secondInter_map, HasFiniteFPowerSeriesOnBall.sub, contDiffAt_fst, contMDiffAt_iff_target, continuous_stereoInvFun, MellinConvergent.cpow_smul, ContDiffOn.fun_smul, ContinuousLinearMap.iteratedFDeriv_comp_left, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_midpoint_eq_center, Submodule.orthogonalProjection_eq_zero_iff, ContinuousLinearMap.holderL_apply_apply, MeasureTheory.Lp.instContinuousFourier, differentiableAt_comp_sub, FormalMultilinearSeries.comp_rightInv_aux2, derivWithin_sub_const, LeftInvariantDerivation.toFun_eq_coe, MeasureTheory.AEEqFun.eLpNorm_star, integral_log_from_zero, MeasureTheory.hasFiniteIntegral_smul_iff, DomAddAct.vadd_Lp_zero, MeasureTheory.integral_fun_snd, MeasureTheory.condExpInd_empty, UpperHalfPlane.contMDiff_denom, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, VectorFourier.norm_fourierIntegral_le_integral_norm, Complex.nnnorm_real, ContDiffMapSupportedIn.compact_supp, MeasureTheory.integrable_fun_smul_iff, EuclideanGeometry.Sphere.angle_eq_pi_div_two_iff_mem_sphere_ofDiameter, MeasureTheory.condExpL1CLM_smul, Orientation.inner_rev_eq_zero_of_oangle_eq_neg_pi_div_two, Manifold.exists_lt_of_riemannianEDist_lt, MeasureTheory.integral_abs_condExp_le, hasDerivWithinAt_iff_tendsto_slope', InnerProductGeometry.sin_angle_add, MeromorphicAt.smul, MeasureTheory.eLpNorm'_norm_rpow, Real.Angle.cos_antiperiodic, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Finset.analyticWithinAt_fun_sum, LipschitzWith.norm_compLp_le, Orientation.rotation_pi, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, tangentMap_prod_left, Real.fourierIntegral_real_eq, Real.circleAverage_fun_add, fderiv_const_smul_of_field, writtenInExtChartAt_sumInr_eventuallyEq_id, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, ContinuousLinearMap.IsPositive.isSelfAdjoint, MeasureTheory.measure_unitBall_eq_integral_div_gamma, MeasureTheory.L1.edist_def, integral_cos_sq_sub_sin_sq, HasLineDerivAt.smul, ProbabilityTheory.variance_tilted_mul, OrthonormalBasis.sum_repr', continuousMultilinearCurryRightEquiv_apply, antilipschitzWith_lineMap, MeasureTheory.Lp.simpleFunc.toSimpleFunc_eq_toFun, Submodule.coe_orthogonalProjection_apply, Submodule.starProjection_coe_eq_isCompl_projection, MeasureTheory.le_integral_rnDeriv_of_ac, MeasureTheory.continuous_setIntegral, CurveIntegrable.cast, ContDiffMapSupportedIn.structureMapLM_zero_apply, SchwartzMap.differentiableAt, hasFDerivAtFilter_add_const_iff, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, ContinuousOn.inner_bundle, LinearMap.injective_iff_antilipschitz, deriv.star', AffineSubspace.mem_perpBisector_pointReflection_iff_inner_eq_zero, AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, analyticOrderAt_smul_eq_top_of_right, Submodule.ClosedComplemented.of_quotient_finiteDimensional, range_mem_nhds_isInteriorPoint, AnalyticOnNhd.const_smul, Trivialization.isLocalFrameOn_localFrame_baseSet, ModelWithCorners.nonempty_interior', contDiffOn_infty_iff_derivWithin, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, SmoothPartitionOfUnity.nonneg', HasFPowerSeriesWithinAt.hasFDerivWithinAt, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, MeasureTheory.Martingale.stronglyMeasurable, iteratedDeriv_sum, instModuleFree_of_discrete_submodule, LinearMap.posSemidef_toMatrix_iff, Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, Function.hasTemperateGrowth_one_add_norm_sq_rpow, MontelSpace.finiteDimensional_of_normedSpace, Orientation.two_zsmul_oangle_smul_smul_self, Submodule.starProjection_apply_eq_zero_iff, ContMDiffSection.contMDiff_toFun, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_pointReflection_center_left, SchwartzMap.fourier_convolution, ContDiffWithinAt.norm, ContDiff.differentiable_one, Complex.log_inv_eq_integral, OnePoint.isZeroAt_iff, AnalyticOnNhd.eval_continuousLinearMap', PadicInt.instIsAddTorsionFree, UnitAddTorus.span_mFourierLp_closure_eq_top, Orientation.rotation_symm_apply, AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, TestFunction.tsupport_subset', AnalyticOnNhd.iterated_deriv, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, ProbabilityTheory.analyticOn_iteratedDeriv_mgf, Affine.Simplex.altitudeFoot_mem_affineSpan_faceOpposite, Asymptotics.isEquivalent_const_iff_tendsto, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, InnerProductGeometry.inner_eq_zero_iff_angle_eq_pi_div_two, contDiffOn_iff_continuousOn_differentiableOn_deriv, PeriodPair.analyticOnNhd_weierstrassP, intervalIntegral.inv_mul_integral_comp_div_add, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, tendstoUniformlyOn_tsum_nat_eventually, WeakFEPair.f_modif_aux2, contDiffGroupoid_prod, eHolderNorm_smul, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, posTangentConeAt_univ, UpperHalfPlane.mdifferentiable_denom_zpow, OrthonormalBasis.abs_det_adjustToOrientation, mellin_cpow_smul, HasGradientWithinAt.hasFDerivWithinAt, FormalMultilinearSeries.rightInv_coeff_one, ContDiffWithinAt.differentiableWithinAt, Pi.orthonormalBasis_repr, EuclideanGeometry.inversion_eq_lineMap, contDiffWithinAt_piLp', MeromorphicOn.Gamma, Complex.integral_cpow_mul_exp_neg_mul_Ioi, ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, differentiableAt_iff_comp_sub_const, uniqueDiffWithinAt_extChartAt_target, ApproximatesLinearOn.lipschitzOnWith, ModelWithCorners.interior_prod, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, LinearMap.isAdjointPair_inner, OpenPartialHomeomorph.extend_symm_preimage_inter_range_eventuallyEq, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, Complex.dist_of_re_eq, ContinuousLinearMap.norm_holder_apply_apply_le, LinearMap.isPositive_one, MeasureTheory.Lp.edist_dist, Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two, intervalIntegral.norm_integral_le_integral_norm_uIoc, MeasureTheory.charFun_map_const_add, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, WithLp.unitization_nnnorm_def, AffineIsometry.angle_map, contMDiffOn_snd, Orientation.rotation_oangle_eq_iff_norm_eq, SlashInvariantFormClass.slash_action_eq, Affine.Simplex.signedInfDist_apply_of_ne, tendsto_nhds_of_meromorphicOrderAt_nonneg, BoundedContinuousFunction.range_toLp, integral_cos_mul_complex, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, exists_contMDiffMap_one_nhds_of_subset_interior, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, hasFDerivAtFilter_pi', constFormalMultilinearSeries_apply_succ, ImplicitFunctionData.hasStrictFDerivAt_rightFun, Polynomial.fourierCoeff_toAddCircle, signedDist_left_lineMap, MeasureTheory.Submartingale.integrable_stoppedValue, FormalMultilinearSeries.continuousOn, MeasureTheory.indicatorConstLp_disjoint_union, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, mfderiv_prod_left, continuousAt_extChartAt_symm', Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, ContinuousLinearMap.coe_ofIsClosedGraph, ProbabilityTheory.Kernel.integral_withDensity, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, Orientation.oangle_sign_smul_sub_right, DoubleCentralizer.toProdHom_apply, ModelWithCorners.isBoundaryPoint_iff, SmoothPartitionOfUnity.sum_le_one, ModelWithCorners.mdifferentiableWithinAt_symm, Submodule.isOrtho_bot_left, SlashInvariantForm.slash_action_eqn, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_right, intervalIntegral.integral_comp_mul_deriv'', ContinuousLinearMap.fpowerSeries_apply_one, ProbabilityTheory.HasCondSubgaussianMGF.ae_trim_condExp_le, MeasureTheory.L1.integral_eq, fderiv_continuousLinearEquiv_comp', ContDiffPointwiseHolderAt.zero_order_iff, MeasureTheory.indicatorConstLp_coeFn, continuousOn_clm_apply, WeakFEPair.Λ_residue_zero, SchwartzMap.one_add_le_sup_seminorm_apply, derivWithin_inter, ModularFormClass.qExpansion_coeff_eq_intervalIntegral, constFormalMultilinearSeries_zero, integral_one_div_of_neg, MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonneg', ContDiffAt.exists_lipschitzOnWith, Affine.Simplex.circumcenter_eq_centroid, Real.fourierIntegralInv_eq, MeasureTheory.integrable_const, Real.Angle.continuous_cos, MeasureTheory.weightedSMul_zero_measure, taylor_within_apply, HilbertBasis.hasSum_inner_mul_inner, contMDiffOn_prod_module_iff, Affine.Simplex.excenter_reindex, WithCStarModule.prod_inner, measurableSet_of_differentiableWithinAt_Ici, Complex.approx_Gamma_integral_tendsto_Gamma_integral, MeasureTheory.Lp.fourier_toTemperedDistribution_eq, Real.Angle.tan_periodic, fderivInnerCLM_apply, intervalIntegral.integral_lt_integral_of_ae_le_of_measure_setOf_lt_ne_zero, eventually_norm_mfderiv_extChartAt_lt, ContinuousMultilinearMap.curryFinFinset_apply, MeasureTheory.Lp.const_val, EuclideanGeometry.orthogonalProjection_eq_iff_mem, MeasureTheory.Integrable.integral_eq_integral_Ioc_meas_le, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, CircleIntegrable.finsum, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, OrderedFinpartition.applyOrderedFinpartition_update_right, derivWithin_smul_const, MeasureTheory.Lp.simpleFunc.coeFn_nonneg, eq_midpoint_of_dist_eq_half, BoxIntegral.HasIntegral.add, MeasureTheory.charFun_prod, MeasureTheory.integral_smul_measure, Real.Angle.coe_pi_add_coe_pi, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, VectorBundleCore.coordChange_comp, derivWithin_const_sub, MeasureTheory.integrable_const_iff_isFiniteMeasure, EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq, SchwartzMap.denseRange_toLpCLM, ConformalAt.const_smul, ContDiffPointwiseHolderAt.fst, hasFDerivAt_fst, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, ContDiffMapSupportedIn.coeHom_injective, SeparationQuotient.liftNormedAddGroupHomEquiv_symm_apply_coe, MDifferentiableWithinAt.prodMap', SchwartzMap.toLp_fourier_eq, MeasureTheory.tendsto_integral_meas_thickening_le, DomMulAct.smul_Lp_val, mdifferentiableWithinAt_hom_bundle, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, IsLocalFrameOn.contMDiffAt_of_coeff_aux, Trivialization.contMDiffOn, HasSumUniformlyOn.of_norm_le_summable_eventually, contDiff_pi, Real.fderiv_fourierChar_neg_bilinear_left_apply, Function.locallyFinsuppWithin.logCounting_even, Module.Basis.addHaar_self, NormedSpace.discreteTopology_zmultiples, HasFTaylorSeriesUpToOn.restrictScalars, AnalyticAt.hasStrictFDerivAt, ContinuousLinearEquiv.contDiffPointwiseHolderAt_left_comp, DomAddAct.nnnorm_vadd_Lp, ContDiffAt.snd'', ContinuousLinearEquiv.comp_differentiableWithinAt_iff, intrinsicClosure_eq_closure, hasFDerivAt_pi', ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, hasContDiffBump_of_innerProductSpace, Real.exists_measure_rpow_eq_integral, iteratedFDeriv_neg, IsSymmSndFDerivWithinAt.eq, CurveIntegrable.add, hasDerivWithinAt_inter, analyticAt_pi_iff, MeasureTheory.norm_condExpIndL1Fin_le, InnerProductGeometry.sin_angle_mul_norm_mul_norm, ValueDistribution.proximity_top, Affine.Triangle.sSameSide_affineSpan_pair_incenter_point, hasFPowerSeriesAt_iff', LinearIsometryEquiv.differentiableOn, Asymptotics.IsLittleO.isEquivalent, Real.fourier_eq', ContDiff.continuous_iteratedDeriv', IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, MeasureTheory.charFunDual_eq_prod_iff', MeasureTheory.Measure.toSphere.instIsOpenPosMeasure, SemiNormedGrp.completion_map, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, MeasureTheory.continuous_L1_toL1, UpperHalfPlane.mdifferentiable_iff, contMDiffOn_section_of_mem_baseSet₀, hasMellin_const_smul, deriv_const_smul_field, MeasureTheory.lintegral_comp_eq_lintegral_meas_lt_mul, Submodule.orthogonalProjection_norm_le, contDiffWithinAt_piLp_apply, integral_sin_pow_antitone, ContinuousAffineMap.differentiableAt, WeakFEPair.Λ_residue_k, Function.HasTemperateGrowth.isBigO_uniform, integral_pow_abs_sub_uIoc, differentiableOn_snd, Real.circleAverage_nonneg_of_nonneg, ContDiff.fun_smul, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, iteratedFDerivWithin_zero_apply, Orientation.rightAngleRotation_neg_orientation, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, Fourier.fourierIntegral_comp_add_right, ImplicitFunctionData.left_map_implicitFunction, smooth_functions_tower, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, MeasureTheory.indicatorConstLp_empty, fderiv_single, hom_trivializationAt_target, InnerProductSpace.gramSchmidtNormed_orthonormal', CircleIntegrable.add, mdifferentiable_iff_differentiable, Real.contDiffAt_rpow_of_ne, Submodule.orthogonalProjection_orthogonal, writtenInExtChartAt_sumInl_eventuallyEq_id, differentiableWithinAt_const_add_iff, Orientation.oangle_add_cyc3_neg_right, coe_algEquiv_lpBCF, intervalIntegral.integral_nonneg_of_forall, fourierCoeffOn_of_hasDeriv_right, contMDiff_fst, Affine.Simplex.centroid_eq_affineCombination_of_pointsWithCircumcenter, Bundle.mdifferentiableAt_zeroSection, mdifferentiableOn_iff_of_mem_maximalAtlas, one_add_rpow_hasFPowerSeriesOnBall_zero, Orientation.cos_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, boundary_product, LinearIsometryEquiv.rTensor_def, Manifold.exists_lt_locally_constant_of_riemannianEDist_lt, MeasureTheory.norm_condExpL2_le_one, ContinuousLinearEquiv.mdifferentiableAt, MeasureTheory.ConvolutionExists.add_distrib, contDiff_prodMk_left, integral_comp_pi_polarCoord_symm, BoxIntegral.Integrable.add, MDifferentiableAt.prodMap, UniqueMDiffOn.uniqueDiffWithinAt_range_inter, Orientation.cos_oangle_eq_inner_div_norm_mul_norm, Affine.Simplex.incenter_notMem_affineSpan_faceOpposite, Affine.Simplex.touchpoint_empty_mem_interior_faceOpposite, OrthonormalBasis.repr_reindex, mdifferentiableAt_extChartAt, MeasureTheory.condExpL2_comp_continuousLinearMap, ModularForm.is_invariant_one, SchwartzMap.laplacian_apply, MeasureTheory.Lp.coeFn_star, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, isOpen_setOf_linearIndependent, contDiffOn_apply, LinearIsometryEquiv.differentiableWithinAt, Trivialization.mdifferentiable, ProbabilityTheory.IsGaussian.eq_gaussianReal, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousLinearMap.holder_add_left, differentiableOn_const_add_iff, VectorBundle.prod, MeasureTheory.Supermartingale.add, AnalyticOnNhd.eval_continuousLinearMap, real_inner_self_pos, hasStrictFDerivAt_pi, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, ContinuousLinearMap.adjoint_innerSL_apply, ZLattice.coe_comap, NormedAddGroupHom.completion_id, sameRay_iff_norm_smul_eq, Submodule.IsOrtho.comap, hasFDerivAt_iff_isLittleO_nhds_zero, fderivWithin_comp_sub, UpperHalfPlane.mdifferentiableAt_ofComplex, ProbabilityTheory.integral_tilted_mul_self, LSeries_eq_mul_integral', ContDiffMapSupportedIn.structureMapLM_apply, AffineSubspace.right_mem_perpBisector, ContinuousLinearMap.circleAverage_comp_comm, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, nnnorm_zsmul_le, writtenInExtChartAt_comp, derivWithin_const_smul', HasFiniteFPowerSeriesAt.eventually_const_of_bound_one, ContMDiff.prodMap, ContDiffAt.eventually, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, differentiableWithinAt_fst, EuclideanGeometry.reflection_apply, ContDiff.const_smul, continuousOn_coordChange, deriv_const_sub, derivWithin_of_mem_nhds, MeasureTheory.dist_indicatorConstLp_eq_norm, LinearIsometryEquiv.comp_fderiv', intervalIntegral.integral_mul_const, hasMFDerivWithinAt_iff_hasFDerivWithinAt, HasStrictDerivAt_ofNat, ProbabilityTheory.cdf_gammaMeasure_eq_integral, MeasureTheory.integral_comap_eq_mulEquivHaarChar_smul, fourier_gaussian_pi, Function.Periodic.tendsto_atTop_intervalIntegral_of_pos', ContinuousLinearMap.IsPositive.re_inner_nonneg_right, LipschitzWith.norm_compLp_sub_le, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_left, LeftInvariantDerivation.coeFnAddMonoidHom_apply, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, contMDiff_snd_tangentBundle_modelSpace, MeasureTheory.condExpL2_const_inner, Complex.dist_conj_self, curveIntegrable_restrictScalars_iff, WeakFEPair.differentiable_Λ₀, EisensteinSeries.D2_mul, TemperedDistribution.laplacianCLM_apply, EuclideanGeometry.Sphere.secondInter_eq_self_iff, isBigO_rpow_zero_log_smul, SchwartzMap.instFourierAdd, MeasureTheory.Lp.isometry_compMeasurePreserving, contMDiffWithinAt_hom_bundle, continuousAt_gaussian_integral, mdifferentiableOn_iff_of_subset_source', ProperCone.innerDual_innerDual, TensorProduct.ext_iff_inner_right_threefold, mem_contMDiffFiberwiseLinear_iff, curveIntegralFun_def, ContinuousAlternatingMap.alternatizeUncurryFin_apply, hasDerivAt_finCons, Orientation.areaForm_rightAngleRotation_left, coeFn_fourierLp, ContinuousLinearMap.contMDiffAt, MeasureTheory.Lp.simpleFunc.dense, CStarAlgebra.exists_sum_four_nonneg, contDiff_sigmoid, Complex.taylorSeries_eq_on_emetric_ball', isOpen_setOf_nat_le_rank, Real.Angle.two_nsmul_eq_iff, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, differentiableAt_iff_comp_neg, setOf_riemannianEDist_lt_subset_nhds', ContinuousMultilinearMap.fin0_apply_norm, LinearIsometry.angle_map, fourierCoeff_liftIco_eq, MemHolder.smul_iff, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, map_extChartAt_nhds, MeasureTheory.Lp.instFourierAdd, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, Filter.EventuallyEq.nhdsNE_deriv, contDiff_euclidean, fderiv_norm_sq_apply, Submodule.starProjection_eq_self_iff, LipschitzWith.ae_differentiableAt_real, MeasureTheory.eLpNorm_le_of_ae_bound, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq, RightDerivMeasurableAux.le_of_mem_A, OrthonormalBasis.tensorProduct_repr_tmul_apply, contMDiffAt_iff_contDiffAt, IsContDiffImplicitAt.implicitFunctionAux_fst, Derivation.evalAt_apply, derivWithin_mem_iff, EuclideanGeometry.Sphere.finrank_orthRadius, Antitone.intervalIntegrable, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, ContinuousMultilinearMap.norm_curryMid, EulerSine.integral_cos_mul_cos_pow_even, UpperHalfPlane.IsZeroAtImInfty.of_exp_decay, circleIntegral.integral_const_mul, ContinuousLinearEquiv.comp_right_differentiable_iff, InnerProductGeometry.inner_eq_mul_norm_iff_angle_eq_zero, MeasureTheory.integral_comp_mul_deriv_Ioi, aestronglyMeasurable_withDensity_iff, integral_sin_pow_even, diffContOnCl_univ, Affine.Simplex.points_vsub_eulerPoint, TensorProduct.assocIsometry_symm_apply, Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two, MeasureTheory.condExp_mul_of_stronglyMeasurable_left, InnerProductGeometry.angle_smul_left_of_pos, MeasureTheory.Lp.simpleFunc.zero_toSimpleFunc, InnerProductSpace.gramSchmidt_mem_span, ModelWithCorners.uniqueDiffOn, norm_iteratedFDeriv_fderiv, UpperHalfPlane.IsBoundedAtImInfty.slash, Real.Angle.two_nsmul_toReal_eq_two_mul, RCLike.inner_eq_wInner_one, TensorProduct.inner_map_map, Orientation.measure_orthonormalBasis, Affine.Simplex.ExcenterExists.sSameSide_excenter_point_iff, MeasureTheory.Lp_toLp_restrict_smul, MeasureTheory.Measure.integral_comp_div, mdifferentiableWithinAt_iff_target, intervalIntegral.integral_const, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, MeasureTheory.addEquivAddHaarChar_smul_integral_map, differentiableWithinAtProp_self_target, MeasureTheory.Measure.toSphere_apply_univ', CircleIntegrable.fun_sum, TensorProduct.toLinearMap_mapInclIsometry, AnalyticOnNhd.differentiableOn, inner_vsub_vsub_right_eq_dist_sq_right_iff, analyticOn_snd, MeasureTheory.condExp_bot_ae_eq, Function.HasTemperateGrowth.isBigO, real_inner_mem_Icc_of_norm_eq_one, FormalMultilinearSeries.hasFPowerSeriesOnBall, deriv_fun_const_smul', MeasureTheory.charFun_eq_integral_probChar, Real.Angle.sign_antiperiodic, HasFPowerSeriesWithinOnBall.continuousWithinAt, ContinuousLinearMap.isUnit_iff_bijective, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', ContDiffOn.dist, EuclideanGeometry.angle_eq_pi_iff_sbtw, MeasureTheory.Supermartingale.stronglyAdapted, norm_deriv_le_of_lip', DomAddAct.vadd_Lp_val, analyticOrderAt_add_of_ne, MeasureTheory.L1.SimpleFunc.coe_posPart, MeasureTheory.Integrable.of_finite, MeasureTheory.Measure.addHaar_closedBall_eq_addHaar_ball, contMDiffAt_snd, ContinuousLinearMap.innerSL_apply_comp, MeasureTheory.Lp.compMeasurePreserving_val, conformalAt_iff', TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, Real.enorm_ofReal_of_nonneg, surjective_stereographic, inner_vsub_left_eq_zero_symm, ContinuousLinearMap.mdifferentiableAt, fourierIntegral_gaussian_pi', ContinuousLinearMap.coeFn_holder, deriv_ofNat, ContDiffMapSupportedIn.structureMapLM_eq, SchwartzMap.isBigO_cocompact_rpow, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Orientation.oangle_smul_left_of_pos, HilbertBasis.hasSum_repr_symm, CStarMatrix.norm_def, eventually_riemannianEDist_lt, ProbabilityTheory.instIsGaussianMapNeg, hasStrictFDerivAt_sub_const, IsMIntegralCurveAt.eventually_hasDerivAt, MeasureTheory.Lp.instContinuousSMulDomMulAct, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, MeasureTheory.Lp.norm_compMeasurePreserving, hasFDerivAt_stereoInvFunAux_comp_coe, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, differentiableWithinAt_Ioi_iff_Ici, LinearMap.adjoint_id, contDiff_succ_iff_hasFDerivAt, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', MeasureTheory.Measure.ContinuousLinearMap.quasiMeasurePreserving, MeasureTheory.Lp.nnnorm_zero, Affine.Triangle.dist_point_centroid, integral_gaussian_complex_Ioi, hasFDerivWithinAt_comp_add_left, ModularForm.SL_smul_slash, ODE.picard_apply, MeasureTheory.condExpL2_indicator_nonneg, nhdsWithin_extChartAt_target_eq', ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, Affine.Triangle.orthocenter_reindex, extChartAt_prod, Affine.Simplex.circumradius_map, MeasureTheory.charFun_map_add_const, VectorBundleCore.toFiberBundleCore_baseSet, IsContDiffImplicitAt.implicitFunctionData_leftFun_pt, TemperedDistribution.smulLeftCLM_apply_apply, MeasureTheory.hasFiniteIntegral_count_iff, ModelWithCorners.toHomeomorph_symm_apply, MeasureTheory.L1.integral_neg, extChartAt_target_mem_nhds', RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, hasSum_mellin_pi_mul_sq, hasFDerivAt_pi, AnalyticAt.eventually_continuousAt, Orientation.inner_mul_areaForm_sub, ProbabilityTheory.integral_preCDF_fst, Asymptotics.IsTheta.tendsto_zero_iff, SmoothBumpCovering.toSmoothPartitionOfUnity_zero_of_zero, differentiableOn_fst, contDiffAt_abs, contDiff_one_iff_deriv, InnerProductSpace.HarmonicAt.add, inner_matrix_col_col, MeasureTheory.Integrable.uniformIntegrable_condExp, hasFDerivWithinAt_snd, MeasureTheory.Measure.addHaar_closedBall', uniformConvexOn_zero, SmoothPartitionOfUnity.contMDiff_sum, mellin_comp_mul_left, differentiableWithinAt_finCons, analyticOn_fst, EuclideanGeometry.Sphere.infDist_eq_radius_iff_isTangent, derivWithin_comp_neg, ContinuousMultilinearMap.norm_ofSubsingleton_id, Affine.Simplex.altitude_def, hasFTaylorSeriesUpToOn_pi, ZSpan.fundamentalDomain_ae_parallelepiped, contMDiffOn_projIcc, OrthonormalBasis.inner_eq_ite, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.memLp_top_const, TangentBundle.mem_chart_source_iff, ContDiffBump.integral_pos, ContinuousLinearMap.orthogonal_ker, ContDiffBump.continuous_normed, InnerProductGeometry.angle_eq_angle_add_add_angle_add, Complex.rotation, AnalyticAt.hasStrictDerivAt, Metric.exists_contMDiffMap_forall_closedEBall_subset, signedDist_vadd_vadd, WithLp.analyticOn_ofLp, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, contMDiff_circleExp, ContDiffMapSupportedInClass.map_zero_on_compl, contDiffWithinAt_succ_iff_hasFDerivWithinAt, Filter.EventuallyEq.hasDerivWithinAt_iff, Quaternion.nnnorm_coe, SmoothBumpFunction.image_eq_inter_preimage_of_subset_support, hasFDerivWithinAt_apply, intervalIntegral.inv_smul_integral_comp_add_div, SchwartzMap.tsum_eq_tsum_fourier, ZLattice.exists_finsetSum_norm_rpow_le_tsum, Real.Angle.nsmul_eq_iff, ProbabilityTheory.IndepFun.integral_mul_eq_mul_integral, DomMulAct.smul_Lp_add, TangentBundle.trivializationAt_target, ContMDiffMap.coeFnLinearMap_apply, Submodule.isHilbertSumOrthogonal, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, EuclideanGeometry.Sphere.self_mem_orthRadius, intervalIntegral.norm_integral_le_of_norm_le, extChartAt_target_subset_closure_interior, ZLattice.abs_repr_le, CStarMatrix.inner_toCLM_conjTranspose_right, Affine.Simplex.insphere_reindex, EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, SeparationQuotient.liftNormedAddGroupHom_norm_le, LinearIsometry.lTensor_def, AnalyticWithinAt.smul, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, PeriodPair.instIsZLatticeRealComplexLattice, MeasureTheory.Measure.toSphere_eq_zero_iff, analyticAt_snd, ContDiffBump.sub, mellin_comp_mul_right, GaussianFourier.integral_rexp_neg_mul_sq_norm, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, ampleSet_univ, TensorProduct.edist_tmul_le, Measurable.inner_const, Real.tendsto_Icc_vitaliFamily_right, fderiv_eq_smul_deriv, MeasureTheory.Lp.continuous_posPart, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, unitary.inner_map_map, CStarMatrix.toCLM_apply_single_apply, SmoothBumpFunction.closedBall_subset, LinearMap.IsPositive.conj_adjoint, ContinuousMultilinearMap.uncurryRight_norm, ApproximatesLinearOn.continuous, MeasureTheory.Measure.addHaar_real_closedBall, MeasureTheory.Lp.norm_def, EuclideanGeometry.angle_const_vadd, tangentBundleCore_coordChange_achart, ZLattice.comap_refl, MeasureTheory.eLpNorm_nsmul, Complex.arg_neg_coe_angle, UpperHalfPlane.mdifferentiable_smul, hasFDerivAt_prodMk_right, Complex.dist_eq_re_im, ContinuousLinearMap.coeFn_compLp', ModularForm.slash_apply, SmoothBumpFunction.isCompact_symm_image_closedBall, Manifold.LiftSourceTargetPropertyAt.prodMap, MeasureTheory.average_eq, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, PadicInt.addChar_of_value_at_one_def, curveIntegralFun_zero, deriv_comp_sub_const, Affine.Simplex.sSameSide_point_incenter, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', measurable_nnnorm, AffineMap.continuous_of_finiteDimensional, ProbabilityTheory.indepFun_iff_charFunDual_prod, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, Submodule.orthogonalProjectionFn_mem, MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOn, LinearMap.IsPositive.re_inner_nonneg_left, iteratedFDeriv_const_of_ne, hasDerivWithinAt_sub_const_iff, MeasureTheory.MemLp.toLp_const, intervalIntegral.smul_integral_comp_add_mul, ContDiffPointwiseHolderAt.continuousAt, Metric.ball_contractible, QuadraticMap.hasLineDerivAt, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, MeasureTheory.Measure.integral_comp_inv_mul_right, ContinuousLinearEquiv.contDiff, ModelWithCorners.mdifferentiableWithinAt, ContinuousLinearMapWOT.ext_inner_iff, Besicovitch.SatelliteConfig.exists_normalized_aux3, MeasureTheory.memLp_const, ContinuousLinearMap.coeFn_ofIsClosedGraph, MeasureTheory.charFunDual_conv, intervalIntegral.integral_nonneg, AnalyticOnNhd.prod, contDiffOn_pi', EisensteinSeries.G2_T_transform, norm_inner_div_norm_mul_norm_eq_one_iff, ProbabilityTheory.IsGaussian.integrable_id, MeasureTheory.lpMeas.aestronglyMeasurable, ProbabilityTheory.integral_tilted_mul_eq_cgf, LinearIsometryEquiv.coe_symm_toMeasurableEquiv, ProbabilityTheory.analyticOnNhd_iteratedDeriv_mgf, SmoothBumpFunction.ball_inter_range_eq_ball_inter_target, FormalMultilinearSeries.comp_assoc, ModelWithCorners.extChartAt_transContinuousLinearEquiv_target, MeasureTheory.Measure.addHaar_smul, HasFPowerSeriesWithinAt.comp, Submodule.mem_iff_norm_starProjection, differentiable_neg_iff, ContMDiff.prodMk, continuousAt_dslope_of_ne, Orientation.abs_volumeForm_apply_le, Affine.Simplex.ExcenterExists.sSameSide_point_excenter_iff, continuousMultilinearCurryFin1_apply, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, summable_imp_tendsto_of_complete, PiLp.hasStrictFDerivAt_toLp, LeftInvariantDerivation.evalAt_apply, InnerProductSpace.gramSchmidt_inv_triangular, intervalIntegral.mul_integral_comp_mul_left, UpperHalfPlane.petersson_slash, hasStrictFDerivAt_euclidean, fourierCoeff_fourier, exists_mem_frontier_infDist_compl_eq_dist, unitary.linearIsometryEquiv_coe_apply, Affine.Simplex.signedInfDist_incenter, HilbertBasis.finite_spans_dense, aemeasurable_derivWithin_Ioi, MeasureTheory.L1.norm_eq_integral_norm, MeasureTheory.Measure.addHaar_image_homothety, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne, Orientation.oangle_add_oangle_rev_neg_right, Affine.Simplex.inner_vsub_vsub_altitudeFoot_eq_height_sq bridge: BoxIntegral.hasIntegralIndicatorConst

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid AddCommGroup.toAddGroup toAddCommGroup	—	—

NormedAddGroup

Definitions

Name	Category	Theorems
ofAddDist 📖	CompOp	—
ofAddDist' 📖	CompOp	—
ofSeparation 📖	CompOp	—
toAddGroup 📖	CompOp	2106 math math: iteratedDerivWithin_sub, Unitary.openPartialHomeomorph_source, SchwartzMap.norm_toLp_le_seminorm, Matrix.l2_opNorm_toEuclideanCLM, HasStrictFDerivAt.isBigO_sub, MeasureTheory.L1.setToL1_eq_setToL1', MeasureTheory.Lp.instHasSolidNorm, ContDiff.sub, norm_eq_zero, Convex.norm_image_sub_le_of_norm_derivWithin_le, MeasureTheory.integrable_indicatorConstLp, ContinuousMap.toLp_inj, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, MeasureTheory.LpToLpRestrictCLM_coeFn, Differentiable.const_sub, MeasureTheory.setToFun_add_left, ContDiffWithinAt.sub, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, ContinuousLinearMap.derivWithin_of_bilinear, DifferentiableWithinAt.const_sub, EuclideanGeometry.dist_smul_vadd_sq, MeasureTheory.tendsto_Lp_of_tendsto_ae, HasDerivWithinAt.clm_comp, deriv_sub_const_fun, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm'', MeasureTheory.condExpInd_of_measurable, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm', AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, extDerivWithin_fun_add, lt_norm_sub_of_not_sameRay, MeasureTheory.condExpL1_smul, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, Real.Angle.sign_two_zsmul_eq_sign_iff, MeasureTheory.Lp.instIsScalarTower, hasSum_geometric_of_norm_lt_one, DomAddAct.mk_vadd_indicatorConstLp, MeasureTheory.setIntegral_compl₀, MDifferentiableOn.clm_postcomp, ContinuousLinearMap.analyticWithinAt_bilinear, MeasureTheory.aestronglyMeasurable_condExpInd, HasCompactSupport.convolution_integrand_bound_left, MeasureTheory.mem_lpMeasSubgroup_iff_aestronglyMeasurable, LinearMap.IsSymmetric.inner_map_polarization, HasFPowerSeriesWithinAt.comp_sub, HasDerivAt.const_sub, ContinuousLinearMap.integral_compLp, FormalMultilinearSeries.comp_partialSum, tendsto_birkhoffAverage_apply_sub_birkhoffAverage', MeasureTheory.withDensityᵥ_sub, MeasureTheory.integral_integral_sub', MeasureTheory.norm_indicatorConstLp_le, SchwartzMap.integral_sesq_fourier_fourier, tendsto_norm_sub_self_nhdsNE, HasMFDerivAt.add, PadicInt.lift_sub_val_mem_span, EuclideanGeometry.reflection_orthogonal_vadd, NormedRing.inverse_one_sub_norm, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, MeasureTheory.convolution_eq_right', HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, Orientation.oangle_sign_sub_left_swap, eq_zero_or_nnnorm_pos, ClosedSubmodule.sub_mem_orthogonal_of_inner_right, MeasureTheory.L1.setToL1_indicatorConstLp, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, ProbabilityTheory.Kernel.integral_integral_sub, NormedSpace.exp_zsmul, EuclideanGeometry.two_zsmul_oangle_of_parallel, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_1, UnitAddTorus.coe_mFourierBasis, ZLattice.summable_norm_sub_inv_pow, Convex.norm_image_sub_le_of_norm_fderivWithin_le', ContDiffBump.normed_sub, Function.FactorizedRational.divisor, norm_eq_iInf_iff_real_inner_le_zero, Real.circleAverage_sub, HasFiniteFPowerSeriesAt.neg, InnerProductGeometry.angle_add_angle_sub_add_angle_sub_eq_pi, DiffContOnCl.sub_const, fderivWithin_comp_add_left, SchwartzMap.inner_fourier_toL2_eq, SchwartzMap.toLp_fourierTransformInv_eq, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, MeasureTheory.L2.inner_indicatorConstLp_eq_inner_setIntegral, fderivWithin_fun_smul, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, Real.Angle.two_zsmul_eq_pi_iff, AnalyticWithinAt.sub, HasFDerivWithinAt.add, MeasureTheory.Lp.mem_Lp_of_ae_bound, MeasureTheory.contDiffOn_convolution_left_with_param, MeasureTheory.tendsto_condExpL1_of_dominated_convergence, curveIntegrable_segment, MDifferentiableAt.cle_arrowCongr, ProbabilityTheory.covarianceBilinDual_apply', dist_eq, RightDerivMeasurableAux.norm_sub_le_of_mem_A, intervalIntegral.integral_derivWithin_uIcc_of_contDiffOn_uIcc, Complex.integral_boundary_rect_eq_zero_of_differentiableOn, hasFTaylorSeriesUpToOn_top_iff_right, SchwartzMap.sub_apply, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, Differentiable.fun_sub_iff_right, HasFPowerSeriesWithinOnBall.hasSum_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, FormalMultilinearSeries.radius_pi_eq_iInf, ProbabilityTheory.Kernel.integral_integral_sub_comp, MeasureTheory.norm_condExpL2_le, SchwartzMap.pairing_apply_apply, MeasureTheory.MemLp.exists_simpleFunc_eLpNorm_sub_lt, MeasureTheory.Lp.instIsOrderedAddMonoid, Matrix.cstar_nnnorm_def, MeasureTheory.MemLp.toLp_val, IsLprojection.Lnorm, hasSum_choose_mul_geometric_of_norm_lt_one, tsum_coe_mul_geometric_of_norm_lt_one', MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, ContinuousLinearMap.continuous_integral_comp_L1, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Orientation.oangle_eq_two_zsmul_oangle_sub_of_norm_eq, MeasureTheory.Lp.edist_def, MeasureTheory.L1.norm_setToL1_le, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, HasDerivWithinAt.fun_div, HasFPowerSeriesOnBall.add, HasDerivWithinAt.complexToReal_fderiv', VectorField.fderiv_apply_lieBracket, MeasureTheory.inner_condExpL2_left_eq_right, ContinuousMap.toLp_denseRange, Orientation.sin_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, Unitary.mem_pathComponentOne_iff, MeasureTheory.Lp.coeFn_add, EuclideanGeometry.oangle_eq_pi_sub_two_zsmul_oangle_of_dist_eq, InnerProductGeometry.angle_sub_eq_arccos_of_inner_eq_zero, ContinuousLinearMap.comp_memLp, hensels_lemma, MeasureTheory.Lp.eq_zero_iff_ae_eq_zero, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, PadicInt.appr_spec, Matrix.le_iff, hasFPowerSeriesOnBall_pi_iff, MeasureTheory.Lp.ext_iff, ContinuousLinearMap.norm_compLp_le, HasFPowerSeriesOnBall.unshift, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContDiffMapSupportedIn.structureMapCLM_apply, RCLike.sub_conj, iteratedFDerivWithin_succ_eq_comp_right, HasFPowerSeriesWithinAt.const_smul, MeasureTheory.tendsto_Lp_of_tendstoInMeasure, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, MeasureTheory.Lp.indicatorConstLp_compMeasurePreserving, DifferentiableOn.sub_const, deriv_comp_const_sub, MeasureTheory.Lp.coeFn_const, HasFPowerSeriesWithinOnBall.restrictScalars, MeasureTheory.norm_setToFun_le_mul_norm', LipschitzWith.lipschitzWith_compLp, SchwartzMap.integral_bilin_fourierInv_eq, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, VectorField.fderiv_apply_lieBracket_of_isSymmSndFDerivAt, HasFDerivAtFilter.fun_sum, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, MeasureTheory.norm_indicatorConstLp, Submodule.orthogonalProjectionFn_inner_eq_zero, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, HasFDerivAtFilter.sub, ContMDiffOn.clm_postcomp, ContinuousMap.range_toLp, eqOn_dslope_sub_smul, selfAdjoint.expUnitaryPathToOne_apply, NormedRing.inverse_add_norm_diff_nth_order, MeasureTheory.Supermartingale.sub_martingale, Unitary.continuousOn_argSelfAdjoint, Orientation.two_zsmul_oangle_neg_left, MeasureTheory.L1.ofReal_norm_eq_lintegral, norm_abs_sub_abs, IsometryEquiv.toRealLinearIsometryEquiv_apply, MeasureTheory.condExpIndL1Fin_smul, RCLike.wInner_sub_right, instIsAddHaarMeasureVolume, ContDiffPointwiseHolderAt.isBigO, AnalyticOn.comp_sub, ContinuousAlternatingMap.map_insertNth, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivAt, PadicInt.sub_zmodRepr_mem, MeasureTheory.Lp.dist_def, tsum_choose_mul_geometric_of_norm_lt_one', OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, MeasureTheory.Lp.aestronglyMeasurable, fderiv_clm_comp, SchwartzMap.bilinLeftCLM_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, MeasureTheory.L1.SimpleFunc.setToL1SCLM_const, derivWithin_comp_const_sub, hasSum_coe_mul_geometric_of_norm_lt_one', AffineMap.hasDerivWithinAt, Real.Angle.two_zsmul_eq_iff_eq, MeasureTheory.lpMeasSubgroupToLpTrim_neg, HasDerivWithinAt.liminf_right_norm_slope_le, MeasureTheory.Lp.simpleFunc.uniformContinuous, tsum_coe_mul_geometric_of_norm_lt_one, HasFPowerSeriesAt.neg, MeasureTheory.Lp.memLp, InnerProductGeometry.norm_div_cos_angle_sub_of_inner_eq_zero, BoxIntegral.integral_sub, MeasureTheory.Lp.nnnorm_def, intervalIntegral.integral_deriv_eq_sub, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, fourierIntegral_gaussian_innerProductSpace', hasDerivWithinAt_iff_isLittleO, MeasureTheory.Integrable.toL1_zero, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, FDerivMeasurableAux.le_of_mem_A, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, MeasureTheory.lpMeasSubgroupToLpTrim_ae_eq, FormalMultilinearSeries.hasSum_of_finite, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, HasFPowerSeriesOnBall.restrictScalars, ZSpan.smul, hasMellin_sub, MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, ClosedSubmodule.inf_orthogonal, HasFDerivAtFilter.const_sub, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, ContinuousLinearMap.isPositive_natCast, tendsto_birkhoffAverage_apply_sub_birkhoffAverage, Submodule.sub_mem_orthogonal_of_inner_left, sum_cauchyPowerSeries_eq_integral, NumberField.mixedEmbedding.instIsAddHaarMeasureMixedSpaceVolume, MeasureTheory.condExpIndL1_add, fderiv_fun_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivAt, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, LinearIsometryEquiv.conjStarAlgEquiv_apply, HasDerivWithinAt.sub, iteratedFDerivWithin_comp_add_right', MeasureTheory.ConvolutionExistsAt.integrable, MeasureTheory.norm_indicatorConstLp_top, iter_deriv_zpow', MeasureTheory.UnifIntegrable.sub, hasLineDerivAt_iff_isLittleO_nhds_zero, Orientation.two_zsmul_oangle_neg_self_right, HasFiniteFPowerSeriesOnBall.sum, MeasureTheory.L1.integral_smul, Meromorphic.sub, TestFunction.toBoundedContinuousFunctionCLM_apply, MeasureTheory.Lp.instFourierInvSMul, hasFDerivWithinAt_sub_const_iff, ContinuousMap.summable_of_locally_summable_norm, ContinuousLinearMap.smul_compLp, difference_quotients_converge_uniformly, HasDerivWithinAt.sub_const, InnerProductGeometry.tan_angle_sub_mul_norm_of_inner_eq_zero, HasStrictFDerivAt.fun_sum, HasFPowerSeriesAt.add, differentiableWithinAt_sub_const_iff, ContinuousAlternatingMap.curryLeft_smul, Orientation.oangle_sign_sub_right, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, PointwiseConvergenceCLM.tendsto_nhds, ContMDiffAt.clm_postcomp, ContMDiffWithinAt.clm_postcomp, Real.integrable_prod_sub, BoxIntegral.HasIntegral.sub, MeasureTheory.L2.inner_def, MeasureTheory.Lp.enorm_toLp, WeakFEPair.hf_zero', SchwartzMap.toLpCLM_apply, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, FormalMultilinearSeries.sum_of_finite, Submodule.reflection_singleton_apply, MeasureTheory.condExpIndL1Fin_add, fderiv_sum, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, HasStrictDerivAt.clm_comp, MeasureTheory.Lp.compMeasurePreservingₗ_apply, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, CStarMatrix.instIsUniformAddGroup, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, tsum_geometric_of_norm_lt_one, comap_norm_nhdsGT_zero, derivWithin_clm_comp, MeasureTheory.condExpL1_measure_zero, Submodule.reflection_apply, AnalyticOn.sub, curveIntegralFun_segment, Besicovitch.SatelliteConfig.exists_normalized_aux2, MeasureTheory.eLpNorm_sub_le, SchwartzMap.inner_toL2_toL2_eq, MeasureTheory.AEEqFun.integrable_iff_mem_L1, HasFDerivAt.sub, FormalMultilinearSeries.radius_le_smul, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, MDifferentiable.clm_postcomp, InnerProductSpace.gramSchmidt_def, ValueDistribution.logCounting_coe_eq_logCounting_sub_const_zero, ValueDistribution.proximity_coe_eq_proximity_sub_const_zero, MeasureTheory.Lp.simpleFunc.isDenseEmbedding, dslope_eventuallyEq_slope_nhdsNE, RCLike.ofReal_sub, fderivWithin_const_sub, hasDerivAt_iff_isLittleO, Orientation.oangle_sub_right_eq_arccos_of_oangle_eq_pi_div_two, Polynomial.abs_div_tendsto_atTop_of_degree_gt, EuclideanGeometry.angle_vadd_const, Submodule.starProjection_inner_eq_zero, nndist_right_lineMap, MeasureTheory.L1.SimpleFunc.norm_setToL1S_le, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, InnerProductGeometry.sin_angle_div_norm_eq_sin_angle_div_norm, HasFPowerSeriesOnBall.const_smul, hasFDerivAtFilter_sub_const_iff, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, MeasureTheory.MemLp.exist_eLpNorm_sub_le, FormalMultilinearSeries.radius_compNeg, HasFDerivAt.multilinear_comp, BoxIntegral.hasIntegral_GP_pderiv, SchwartzMap.integral_bilin_fourierIntegral_eq, DomMulAct.smul_Lp_sub, Real.Angle.two_zsmul_coe_div_two, NormedRing.inverse_one_sub_nth_order, MeasureTheory.L1.SimpleFunc.setToL1S_neg, SchwartzMap.toLp_fourierInv_eq, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeasureTheory.continuous_condExpIndL1, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, MeasureTheory.Lp.nnnorm_eq_zero_iff, abs_lt_norm_sub_of_not_sameRay, DifferentiableOn.sub, Orientation.oangle_sign_sub_smul_left, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, MDifferentiable.cle_arrowCongr, MeasureTheory.MemLp.exists_boundedContinuous_integral_rpow_sub_le, MeasureTheory.dominatedFinMeasAdditive_condExpInd, MeasureTheory.L1.SimpleFunc.integral_add, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, MeasureTheory.Integrable.edist_toL1_zero, HasFDerivAt.fun_smul, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, ZLattice.comap_toAddSubgroup, fderiv_continuousAlternatingMapCompContinuousLinearMap, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, Submodule.coe_orthogonalDecomposition_symm, MeasureTheory.Lp.finStronglyMeasurable, SchwartzMap.integral_sesq_fourier_eq, MeasureTheory.aestronglyMeasurable_condExpL2, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, isAddHaarMeasure_basis_addHaar, ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, MeasureTheory.integral_fn_integral_sub, MeasureTheory.L1.setToL1_zero_left, MeasureTheory.withDensityᵥ_add', MeasureTheory.setIntegral_compl, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, MeasureTheory.condExpInd_nonneg, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, norm_curveIntegral_segment_le, MeasureTheory.integral_Ioi_deriv_mul_eq_sub, MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto', HasFDerivAtFilter.isThetaTVS_sub, MeasureTheory.condExpL1_of_aestronglyMeasurable', LindemannWeierstrass.exp_polynomial_approx, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, MeasureTheory.L1.continuous_integral, Real.Angle.sign_pi_sub, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, MeasureTheory.Lp.stronglyMeasurable, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, MeasureTheory.L1.integrable_coeFn, SchwartzMap.injective_toLp, MeasureTheory.condExpL2_indicator_ae_eq_smul, fderiv_fun_sub, FormalMultilinearSeries.rightInv_removeZero, geom_series_succ, ClosedSubmodule.orthogonal_closure'', PadicInt.exists_mem_range, MeasureTheory.integral_eq_of_hasDerivAt_off_countable_of_le, EulerProduct.eulerProduct_completely_multiplicative, deriv_sub, HasStrictDerivAt.div, Orientation.oangle_sign_sub_smul_right, PadicInt.exists_mem_range_of_norm_rat_le_one, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, UnitAddTorus.mFourierCoeff_toLp, MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul, LinearMap.extendTo𝕜'_apply, MeasureTheory.Lp.dist_edist, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, ContinuousLinearMap.holderₗ_apply_apply, taylor_tendsto, dslope_sub_smul, HasFDerivAt.curveIntegral_segment_source, ContinuousMultilinearMap.curryRight_norm, InnerProductGeometry.sin_angle_mul_norm_eq_sin_angle_mul_norm, ContinuousLinearMap.analyticOn_bilinear, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left', HasFDerivAt.add, MDifferentiableAt.clm_postcomp, MeasureTheory.Lp.coeFn_mk, fderiv_continuousAlternatingMap_apply, hasFDerivAt_sub_const_iff, MeasureTheory.Lp.norm_zero, MeasureTheory.Lp.mem_Lp_of_ae_nnnorm_bound, MeasureTheory.continuous_setToFun, HasFDerivWithinAt.const_sub, MeasureTheory.Lp.simpleFunc.sub_toSimpleFunc, MeasureTheory.tendstoInMeasure_iff_tendsto_Lp, MeasureTheory.L1.dist_eq_integral_dist, MeasureTheory.L1.norm_def, iteratedFDeriv_add_apply, BoundedContinuousFunction.instIsOrderedAddMonoid, EuclideanGeometry.Sphere.oangle_eq_pi_sub_two_zsmul_oangle_center_left, HasFDerivAt.sum, instNormedSpaceLieAddGroup, MeasureTheory.integral_condExpL2_eq, ContinuousLinearMap.instStarOrderedRing, DomAddAct.instIsIsometricVAddSubtypeAEEqFunMemAddAddSubgroupLp, Unitary.openPartialHomeomorph_symm_apply, MeasureTheory.AEEqFun.Integrable.sub, MeasureTheory.Lp.edist_toLp_toLp, extDerivWithin_add, intervalIntegral.integral_mul_deriv_eq_deriv_mul, iteratedFDerivWithin_comp_add_left, hasGradientAtFilter_iff_isLittleO, MeasureTheory.convolution_precompR_apply, orthonormal_fourier, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, hasGradientAt_iff_isLittleO, MeasureTheory.setIntegral_condExpL2_indicator, norm_image_sub_le_of_norm_deriv_le_segment, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, fderiv_smul, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left, MeasureTheory.Integrable.norm_toL1, hasDerivAtFilter_iff_tendsto_slope, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, ContinuousLinearMap.setIntegral_compLp, ContinuousAlternatingMap.curryLeft_apply_apply, affinity_unitClosedBall, HasFPowerSeriesOnBall.comp_sub, Submodule.norm_eq_iInf_iff_inner_eq_zero, BoundedContinuousFunction.coe_posPart, HasCompactSupport.hasDerivAt_convolution_right, MeasureTheory.Lp.edist_toLp_zero, Unitary.norm_sub_one_lt_two_iff, exists_norm_le_le_norm_sub_of_finset, MeasureTheory.L1.setToL1_mono_left', MeasureTheory.ConvolutionExistsAt.integrable_swap, Real.Angle.two_zsmul_coe_pi, DomAddAct.vadd_Lp_add, HasFiniteFPowerSeriesOnBall.eq_partialSum, MeasureTheory.Integrable.toL1_eq_mk, Submodule.topologicalClosure_eq_self, AffineMap.hasDerivAt_lineMap, HasDerivAtFilter.isBigO_sub_rev, MeasureTheory.contDiffOn_convolution_right_with_param, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, EuclideanGeometry.orthogonalProjection_apply', MeasureTheory.condExpIndSMul_empty, Orientation.tan_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, iteratedDerivWithin_const_sub, iteratedFDeriv_comp_sub, MeasureTheory.contDiffOn_convolution_left_with_param_comp, MeasureTheory.SimpleFunc.nnnorm_approxOn_le, AffineMap.hasDerivWithinAt_lineMap, ContinuousLinearMap.fderiv_of_bilinear, has_fderiv_at_filter_real_equiv, MeasureTheory.setIntegral_condExpInd, Polynomial.abs_tendsto_atTop_iff, ContinuousAlternatingMap.alternatizeUncurryFin_smul, SchwartzMap.toBoundedContinuousFunctionCLM_apply, extDeriv_apply_vectorField, curveIntegral_segment, hasDerivAt_iff_tendsto_slope_left_right, MeasureTheory.edist_indicatorConstLp_eq_enorm, controlled_closure_of_complete, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, HasDerivAtFilter.sub, mul_neg_geom_series, ValueDistribution.isBigO_characteristic_sub_characteristic_shift, deriv_fun_div, Function.FactorizedRational.mulSupport, Differentiable.sub_iff_right, HasFDerivWithinAt.fun_smul, MeasureTheory.L1.setToL1_eq_setToL1SCLM, intervalIntegral.integral_deriv_comp_smul_deriv', MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, iteratedDeriv_const_sub, MeasureTheory.convolution_def, MeasureTheory.norm_condExpL2_coe_le, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, HasFPowerSeriesWithinOnBall.prod, MDifferentiableWithinAt.clm_precomp, MeasureTheory.aestronglyMeasurable_condExpL1, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, SchwartzMap.norm_fourier_toL2_eq, MeasureTheory.Lp.boundedContinuousFunction_topologicalClosure, MeasureTheory.Lp.SecondCountableTopology, sum_mul_eq_sub_integral_mul', Orientation.oangle_rotation_left, intervalIntegral.integral_eq_sub_of_hasDerivAt_of_tendsto, Function.FactorizedRational.meromorphicOrderAt_eq, HasFPowerSeriesOnBall.uniform_geometric_approx, unitary.norm_sub_eq, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, norm_sub_le_mul_volume_of_norm_deriv_le_of_le, intervalIntegral.integral_eq_sub_of_hasDeriv_right_of_le, MeromorphicOn.divisor_sub_const_self, MeasureTheory.Lp.instCompleteSpace, MeasureTheory.Lp.norm_toLp, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, ValueDistribution.characteristic_sub_characteristic_eq_proximity_sub_proximity, MeasureTheory.Lp.instFourierPair, fourier_gaussian_innerProductSpace', iteratedDeriv_comp_sub_const, ContDiffBump.convolution_tendsto_right, eq_zero_or_norm_pos, Orientation.cos_oangle_sub_right_of_oangle_eq_pi_div_two, MeasureTheory.L1.integral_def, FormalMultilinearSeries.hasSum, derivWithin_fun_div, BoundedContinuousFunction.Lp_nnnorm_le, Matrix.toEuclideanCLM_toLp, DomMulAct.edist_smul_Lp, hasSum_fourier_series_L2, norm_commutator_sub_one_le, MeasureTheory.L1.SimpleFunc.setToL1S_smul_real, analyticOrderAt_centeredMonomial, HasFPowerSeriesOnBall.sum, Real.tendsto_integral_gaussian_smul', BoundedContinuousFunction.range_toLpHom, Polynomial.abs_tendsto_atTop, exists_seq_norm_le_one_le_norm_sub, MeasureTheory.lpNorm_sub_comm, selfAdjoint.expUnitary_zero, Convex.norm_image_sub_le_of_norm_fderivWithin_le, ContMDiffOn.clm_precomp, hasGradientAt_iff_isLittleO_nhds_zero, BoundedContinuousFunction.toLp_inj, MeasureTheory.mem_lpMeas_indicatorConstLp, ValueDistribution.logCounting_sub_const, BoundedContinuousFunction.toLp_injective, Function.FactorizedRational.finprod_eq_fun, ContinuousAlternatingMap.norm_curryLeft, MeasureTheory.integral_indicatorConstLp, tsum_pow_div_one_sub_eq_tsum_sigma, SchwartzMap.pairing_apply, MeasureTheory.Lp.coeFn_compMeasurePreserving, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, HasFPowerSeriesWithinOnBall.unshift, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, MeasureTheory.condExpIndSMul_smul, MeasureTheory.lintegral_nnnorm_condExpL2_le, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, MeasureTheory.Lp.compMeasurePreservingₗᵢ_apply_coe, HasFPowerSeriesOnBall.compContinuousLinearMap, MeasureTheory.L1.setToFun_eq_setToL1, LinearMap.IsSymmetric.coe_toSelfAdjoint, SchwartzMap.norm_fourierTransformCLM_toL2_eq, ContDiffMapSupportedIn.uniformSpace_eq_iInf, MeasureTheory.enorm_indicatorConstLp_le, MeasureTheory.Lp.norm_neg, Real.Angle.two_zsmul_toReal_eq_two_mul_sub_two_pi, MeasureTheory.norm_integral_sub_setIntegral_le, curveIntegral_segment_const, mfderiv_sub, MeasureTheory.L1.integral_eq_setToL1, BoxIntegral.BoxAdditiveMap.volume_apply, Real.fourier_mul_convolution_eq, MeasureTheory.Integrable.toL1_smul, ContDiffBump.normed_convolution_eq_right, MeasureTheory.Lp.nnnorm_neg, InnerProductGeometry.sin_angle_sub_of_inner_eq_zero, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, ContinuousLinearMap.holder_smul_left, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, Real.Angle.cos_sub_pi, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', MeasureTheory.hasFDerivAt_convolution_right_with_param, MeasureTheory.integral_deriv_mul_eq_sub, MeasureTheory.Lp.coeFn_smul, DomMulAct.mk_smul_toLp, MeasureTheory.condExpL1CLM_indicatorConstLp, fderivWithin_sub_const, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, HasCompactSupport.hasFDerivAt_convolution_right, ContDiffMapSupportedIn.structureMapCLM_zero_apply, VonNeumannAlgebra.centralizer_centralizer', SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, MeasureTheory.Integrable.sub, OrthonormalBasis.starProjection_eq_sum_rankOne, MeasureTheory.Submartingale.sub_supermartingale, MeasureTheory.L1.SimpleFunc.coe_negPart, logDeriv_div, MeasureTheory.integrableOn_Lp_of_measure_ne_top, MeasureTheory.L1.setToL1_mono_left, MeasureTheory.Lp.dist_eq_norm, selfAdjoint.continuous_expUnitary, MeasureTheory.condExpInd_disjoint_union, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, MeasureTheory.Lp.coeFn_le, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, MeasureTheory.Lp.simpleFunc.add_toSimpleFunc, HasFPowerSeriesWithinOnBall.sum, LinearMap.extendTo𝕜_apply, HasDerivAt.sub, UnitAddTorus.coeFn_mFourierLp, MeasureTheory.integral_average_sub, compContinuousLinearMap_zero, MeromorphicOn.divisor_sub_const_of_ne, Function.HasTemperateGrowth.fun_sub, MeasureTheory.SimpleFunc.norm_approxOn_y₀_le, FormalMultilinearSeries.le_radius_compContinuousLinearMap, MeasureTheory.setIntegral_condExpIndSMul, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, MeasureTheory.SimpleFunc.setToSimpleFunc_sub, MeasureTheory.Integrable.exists_boundedContinuous_lintegral_sub_le, Submodule.norm_eq_iInf_iff_real_inner_eq_zero, MeasureTheory.indicatorConstLp_univ, fderiv_fun_add, HasFiniteFPowerSeriesOnBall.comp_sub, MeasureTheory.integral_diff, continuousMultilinearCurryRightEquiv_symm_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, norm_sub_eq_zero_iff, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, hasFTaylorSeriesUpToOn_top_iff', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, MeasureTheory.norm_setToFun_le', extDerivWithin_apply_vectorField_of_pairwise_commute, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, Polynomial.abs_tendsto_atBot_iff, MeasureTheory.Lp.norm_const_le, ProbabilityTheory.instIsGaussianMapHSub, ContMDiffOn.cle_arrowCongr, Real.Angle.tan_sub_pi, EuclideanGeometry.oangle_sub_left, HasFDerivWithinAt.fun_sub, Real.Angle.sub_coe_pi_eq_add_coe_pi, iteratedFDeriv_tsum, MeasureTheory.eLpNorm_sub_comm, ContinuousLinearMap.adjointAux_apply, MeasureTheory.Lp.coeFn_negPart_eq_max, fderivWithin_fun_sub, HasFPowerSeriesAt.comp_sub, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, VitaliFamily.ae_tendsto_average_norm_sub, HasLineDerivAt.tendsto_slope_zero_left, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, MeasureTheory.condExpL1_undef, MeasureTheory.Lp.nnnorm_toLp, HasDerivAtFilter.sub_const, ExistsContDiffBumpBase.u_int_pos, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, Finset.norm_prod_one_add_sub_one_le, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, Submodule.sub_starProjection_mem_orthogonal, MeasureTheory.Measure.MeasureDense.indicatorConstLp_subset_closure, MeasureTheory.L1.SimpleFunc.setToL1S_sub, dslope_sub_smul_of_ne, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', iter_deriv_zpow, Real.Angle.sign_sub_pi, ContinuousMap.toLp_def, natCast_le_analyticOrderAt, MeasureTheory.Submartingale.pos, HasFDerivAtFilter.sum, SchwartzMap.integral_bilin_fourier_eq, MeasureTheory.lpNorm_sub_le, MeasureTheory.integral_sub, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, AnalyticOnNhd.comp_sub, affinity_unitBall, hasFTaylorSeriesUpToOn_succ_iff_right, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, ContinuousMultilinearMap.norm_map_init_le, ContinuousAlternatingMap.hasStrictFDerivAt, LinearIsometryEquiv.conjStarAlgEquiv_refl, HasDerivAt.tendsto_slope_zero_left, HasDerivAt.complexToReal_fderiv', MeasureTheory.L2.inner_indicatorConstLp_one, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, MeasureTheory.L1.setToL1_smul_left', MeasureTheory.Lp.boundedContinuousFunction_dense, LinearMap.IsSymmetric.toSelfAdjoint_apply, Unitary.norm_sub_one_sq_eq, MeasureTheory.Lp.constₗ_apply, MeasureTheory.Lp.coe_nnnorm, Orientation.norm_div_sin_oangle_sub_right_of_oangle_eq_pi_div_two, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, VectorField.lieBracket_eq, DifferentiableAt.fun_sub, MeasureTheory.L1.SimpleFunc.toLp_one_eq_toL1, EulerProduct.eulerProduct_completely_multiplicative_tprod, MeasureTheory.Lp.mem_boundedContinuousFunction_iff, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_2, InnerProductGeometry.norm_div_tan_angle_sub_of_inner_eq_zero, MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le, MeasureTheory.condExpIndSMul_add, MeasureTheory.integral_eq_of_hasDerivAt_off_countable, Orientation.oangle_sub_left_eq_arcsin_of_oangle_eq_pi_div_two, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDeriv_right, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, MeasureTheory.Lp.norm_fourier_eq, AnalyticAt.analyticOrderAt_deriv_add_one, Matrix.exp_zsmul, iteratedFDerivWithin_comp_sub, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, HasDerivAt.sub_const, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, contDiffPointwiseHolderAt_iff, SchwartzMap.coeFn_toLp, ContinuousLinearMap.aestronglyMeasurable_comp₂, differentiableWithinAt_comp_sub, MeasureTheory.Lp.instFourierSMul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left, RCLike.wInner_sub_left, MeasureTheory.Lp.simpleFunc.toLp_eq_toLp, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, MeasureTheory.Lp.norm_const', HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, MeasureTheory.norm_condExpIndL1_le, Real.Angle.two_zsmul_neg_pi_div_two, fderiv_fun_sum, SchwartzMap.norm_toLp, AffineMap.hasDerivAt, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, iteratedDerivWithin_zpow, fourierIntegral_eq_half_sub_half_period_translate, InnerProductGeometry.angle_sub_le_pi_div_two_of_inner_eq_zero, Quaternion.re_exp, meromorphicOrderAt_eq_int_iff, EuclideanGeometry.orthogonalProjection_vadd_eq_self, dist_lineMap_right, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, MeasureTheory.condExpL1_add, AffineMap.differentiableAt, Convex.norm_image_sub_le_of_norm_fderiv_le, MeasureTheory.Lp.smul_zero, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, MeasureTheory.UnifTight.sub, HasFPowerSeriesWithinAt.pi, MeasureTheory.lpNorm_le_lpNorm_add_lpNorm_sub', MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul, VonNeumannAlgebra.mem_carrier, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, DomMulAct.mk_smul_indicatorConstLp, intervalIntegral.integral_deriv_comp_smul_deriv, MeasureTheory.norm_condExpInd_apply_le, hasFTaylorSeriesUpTo_top_iff', fderivWithin_iteratedFDerivWithin, Orientation.oangle_sub_eq_oangle_sub_rev_of_norm_eq, ContinuousLinearMap.rayleighQuotient_add, hasFDerivAt_iff_tendsto, ContinuousLinearMap.deriv_of_bilinear, Real.Angle.two_zsmul_toReal_eq_two_mul, ContinuousLinearMap.nnnorm_holder_apply_apply_le, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Orientation.sin_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, ContinuousLinearMap.bilinear_hasTemperateGrowth, Orientation.cos_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, DomAddAct.norm_vadd_Lp, HasDerivWithinAt.limsup_norm_slope_le, Submodule.orthogonal_orthogonal_eq_closure, MeasureTheory.condExpL1_neg, MeasureTheory.Lp.instTrivialStarSubtypeAEEqFunMemAddSubgroup, eqOn_dslope_slope, MeasureTheory.L1.nnnorm_integral_le, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, Orientation.two_zsmul_oangle_of_span_eq_of_span_eq, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, MeasureTheory.Lp.norm_smul_le, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, Function.FactorizedRational.meromorphicNFOn_univ, ContinuousMultilinearMap.curryFinFinset_apply_const, Module.Basis.addHaar_def, MeasureTheory.isClosed_aestronglyMeasurable, HasStrictDerivAt.fun_div, hasDerivWithinAt_taylor_coeff_within, differentiableAt_comp_const_sub, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, MeasureTheory.Lp.coeFn_sup, HasFDerivAtFilter.isTheta_sub, mfderiv_add, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, Collinear.two_zsmul_oangle_eq_right, MeasureTheory.lpNorm_sub_le_lpNorm_sub_add_lpNorm_sub, MDifferentiableAt.sub, ContinuousMultilinearMap.hasStrictFDerivAt, signedDist_vadd_left_swap, hasFTaylorSeriesUpTo_succ_nat_iff_right, iteratedFDeriv_add, ProbabilityTheory.IsGaussianProcess.shift, MeasureTheory.Lp_toLp_restrict_add, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, ClosedSubmodule.iInf_orthogonal, HasDerivAt.clm_comp, EuclideanGeometry.reflection_apply_of_mem, DifferentiableWithinAt.sub, HasFPowerSeriesOnBall.neg, MeasureTheory.setIntegral_condExpL1, ContinuousLinearMap.uncurryBilinear_apply, Asymptotics.continuousAt_iff_isLittleO, exists_taylor_mean_remainder_bound, MeasureTheory.integral_posConvolution, Orientation.sin_oangle_sub_left_of_oangle_eq_pi_div_two, AddChar.tendsto_eval_one_sub_pow, VectorFourier.integral_fourierIntegral_swap, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, dist_homothety_self, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, HasStrictFDerivAt.add, sum_mul_eq_sub_integral_mul₀', MeasureTheory.condExpIndL1_smul, UnitAddTorus.orthonormal_mFourier, ContinuousMap.toLp_norm_eq_toLp_norm_coe, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_sub, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_increments, Orientation.oangle_sub_left_eq_arccos_of_oangle_eq_pi_div_two, MeasureTheory.LocallyIntegrable.sub, tsum_choose_mul_geometric_of_norm_lt_one, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, ClosedSubmodule.sub_mem_orthogonal_of_inner_left, MeasureTheory.weightedSMul_add_measure, MeasureTheory.Integrable.enorm_toL1, MeasureTheory.continuous_integral_integral, fourierCoeff_toLp, coe_fourierBasis, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', lp.coeFn_sub, curveIntegral_fun_add, FormalMultilinearSeries.changeOrigin_eval_of_finite, VectorField.fderivWithin_apply_lieBracket_of_isSymmSndFDerivWithinAt, intervalIntegral.integral_eq_sub_of_hasDerivAt, signedDist_vadd_right, InnerProductGeometry.cos_angle_sub_of_inner_eq_zero, Complex.isAddQuotientCoveringMap_exp, AnalyticAt.analyticOrderAt_eq_natCast, DifferentiableOn.const_sub, CPolynomialOn.sub, MeasureTheory.lpMeasSubgroupToLpTrim_sub, dist_self_homothety, MeasureTheory.Integrable.toL1_sub, deriv_fun_sub, MeasureTheory.MemLp.toLp_neg, DifferentiableAt.fun_sub_iff_right, Real.Angle.coe_sub, padic_polynomial_dist, Orientation.oangle_sign_sub_right_eq_neg, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, Real.Angle.intCast_mul_eq_zsmul, ZSpan.isAddFundamentalDomain', InnerProductGeometry.tan_angle_sub_of_inner_eq_zero, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, FormalMultilinearSeries.radius_neg, Function.FactorizedRational.analyticAt, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae, ProbabilityTheory.Kernel.continuous_integral_integral, DomMulAct.smul_Lp_neg, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, ContinuousMultilinearMap.curryMidEquiv_apply, ApproximatesLinearOn.lipschitz_sub, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, MeasureTheory.L2.real_inner_indicatorConstLp_one_indicatorConstLp_one, fderiv_sub_const, Real.Angle.two_zsmul_eq_iff_eq_of_abs_toReal_lt_pi_div_two, ContinuousLinearMap.analyticOnNhd_bilinear, PadicInt.zmodRepr_spec, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', CStarMatrix.instIsTopologicalAddGroup, AnalyticAt.analyticOrderNatAt_eq_iff, MeasureTheory.Integrable.abs, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, Differentiable.sub, iteratedFDerivWithin_add_apply, MeasureTheory.MemLp.exists_hasCompactSupport_integral_rpow_sub_le, fderiv_tsum, qExpansion_sub, HasFDerivWithinAt.isBigO_sub, WeakFEPair.hg_top, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, MeasureTheory.setAverage_sub_setAverage, EulerProduct.eulerProduct_completely_multiplicative_hasProd, Orientation.oangle_sign_smul_sub_left, MeasureTheory.Lp.simpleFunc.denseRange, MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.eLpNorm_sub_le', MeasureTheory.condExp_ae_eq_condExpL1, AnalyticAt.sub, Submodule.reflection_sub, HasDerivAtFilter.isBigO_sub, unitary.two_mul_one_sub_le_norm_sub_one_sq, NormedRing.inverse_one_sub, HasFDerivAtFilter.fun_sub, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, MeasureTheory.condExpIndL1_smul', HasDerivAt.fun_div, InnerProductGeometry.sin_angle_sub_mul_norm_of_inner_eq_zero, HasFTaylorSeriesUpToOn.fderivWithin, InnerProductGeometry.norm_sub_eq_add_norm_iff_angle_eq_pi, circleIntegral.integral_sub, ContinuousLinearMap.norm_map_tail_le, ProbabilityTheory.HasGaussianLaw.fun_sub, HasFPowerSeriesAt.restrictScalars, BoundedContinuousFunction.mem_Lp, iteratedFDerivWithin_comp_add_right, nndist_lineMap_right, IntervalIntegrable.sub, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDeriv_right, MeasureTheory.lpMeasSubgroupToLpTrim_right_inv, Orientation.oangle_sub_left, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, DifferentiableAt.isBigO_sub, BoundedContinuousFunction.Lp_norm_le, DomAddAct.vadd_Lp_ae_eq, HasDerivWithinAt.div, MeasureTheory.Lp.norm_constL_le, HasGradientAtFilter.isBigO_sub, hasDerivAtFilter_sub_const_iff, ContinuousLinearMap.adjointAux_adjointAux, HasStrictFDerivAt.const_sub, HasFDerivAt.sub_const, MeasureTheory.Lp.simpleFunc.neg_toSimpleFunc, fderiv_sub, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, DomMulAct.norm_smul_Lp, ContMDiffAt.clm_precomp, MeasureTheory.condExpL2_indicator_of_measurable, MeasureTheory.Lp.add_smul, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, iter_deriv_pow', ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, MeasureTheory.condExp_ae_eq_condExpL1CLM, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, DomAddAct.vadd_Lp_sub, ProbabilityTheory.Kernel.integral_fn_integral_sub, WeakFEPair.hf_zero, BoundedContinuousFunction.coeFn_toLp, CPolynomialAt.sub, MeasureTheory.Integrable.toL1_smul', BoxIntegral.Integrable.sub, Orientation.tan_oangle_sub_left_of_oangle_eq_pi_div_two, Orientation.oangle_sub_right_smul_rotation_pi_div_two, PhragmenLindelof.isBigO_sub_exp_exp, Real.Angle.sin_pi_div_two_sub, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, MeasureTheory.Lp.instContinuousVAddDomAddAct, NormedRing.inverse_add_norm_diff_second_order, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, PadicInt.limNthHom_spec, ContinuousMultilinearMap.uncurryRight_apply, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', MeasureTheory.condExpL1CLM_indicatorConst, DifferentiableAt.sub_iff_left, MeasureTheory.mem_lpMeasSubgroup_toLp_of_trim, MeasureTheory.L1.nnnorm_Integral_le_one, MeasureTheory.lpMeasSubgroupToLpTrim_add, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae', MeasureTheory.L1.integral_eq_norm_posPart_sub, MeasureTheory.Lp.instContinuousFourierInv, dslope_of_ne, Orientation.oangle_sign_sub_left_eq_neg, Unitary.openPartialHomeomorph_target, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, UnitAddTorus.hasSum_mFourier_series_L2, MeasureTheory.Lp.norm_const, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, MeasureTheory.integral_sub', MeasureTheory.lpMeasSubgroupToLpTrim_left_inv, ZSpan.exist_unique_vadd_mem_fundamentalDomain, HasFDerivAtFilter.fun_add, extDeriv_add, HasStrictDerivAt.sub, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasFiniteFPowerSeriesOnBall.neg, sum_mul_eq_sub_integral_mul₁, lp.single_sub, hasGradientAt_iff_tendsto, AffineMap.derivWithin, Real.Angle.two_zsmul_eq_iff, InnerProductSpace.Core.inner_sub_sub_self, MeromorphicAt.meromorphicAt_sub_iff_meromorphicAt₂, MeasureTheory.contDiffOn_convolution_right_with_param_comp, intervalIntegral.integral_deriv_mul_eq_sub, extDerivWithin_apply_vectorField, Real.fourier_bilin_convolution_eq, BoxIntegral.BoxAdditiveMap.toSMul_apply, MeasureTheory.Lp.instAddLeftMono, MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_le, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ContinuousLinearMap.norm_uncurryMid, MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, ProbabilityTheory.HasGaussianLaw.sub, ContinuousLinearMap.uncurryLeft_norm, differentiableWithinAt_comp_add_right, ContinuousLinearMap.holder_smul_right, HasFDerivWithinAt.multilinear_comp, HasFPowerSeriesOnBall.tendstoUniformlyOn', Pretrivialization.continuousLinearMap.isLinear, HasFPowerSeriesWithinOnBall.const_smul, ProbabilityTheory.Kernel.integral_integral_sub', Orientation.oangle_sub_right_eq_arcsin_of_oangle_eq_pi_div_two, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, EuclideanGeometry.angle_sub_const, MeasureTheory.L2.eLpNorm_inner_lt_top, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', meromorphicTrailingCoeffAt_id_sub_const, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, derivWithin_fun_sub, MeasureTheory.condExpL1CLM_lpMeas, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, EuclideanGeometry.inversion_def, InnerProductSpaceable.parallelogram_identity, HasStrictFDerivAt.fun_sub, MeasureTheory.Lp.mem_Lp_iff_memLp, SchwartzMap.integral_bilinear_laplacian_right_eq_left, MeasureTheory.eLpNorm_indicator_sub_indicator, MeromorphicOn.sub, StrongDual.toLpₗ_apply, MeasureTheory.L1.setToL1_apply_coeToLp, MeasureTheory.Lp.const_mem_Lp, HasStrictFDerivAt.isEquivalent_sub, Orientation.oangle_sign_sub_left, Valued.integer.coe_span_singleton_eq_closedBall, le_analyticOrderAt_sub, Unitary.spectrum_subset_slitPlane_iff_norm_lt_two, hasSum_geom_series_inverse, HasStrictDerivAt.complexToReal_fderiv', inner_sub_left, HasFTaylorSeriesUpToOn.add, MeasureTheory.dist_convolution_le', ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, MeasureTheory.weightedSMul_union, hasSum_coe_mul_geometric_of_norm_lt_one, MDifferentiableOn.cle_arrowCongr, fderiv_add, MeasureTheory.indicatorConstLp_add, MeasureTheory.L1.setToL1_congr_left', DomAddAct.vadd_Lp_neg, intervalIntegral.integral_interval_sub_interval_comm', MeasureTheory.Lp.simpleFunc.coeFn_le, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, MeasureTheory.Lp.instFourierPairInv, HasFPowerSeriesOnBall.uniform_geometric_approx', hasSum_choose_mul_geometric_of_norm_lt_one', InnerProductGeometry.norm_div_sin_angle_sub_of_inner_eq_zero, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, ContinuousLinearMap.IsPositive.add, HasFPowerSeriesWithinOnBall.comp_sub, Real.Angle.sign_two_zsmul_eq_neg_sign_iff, not_sameRay_iff_abs_lt_norm_sub, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, PadicInt.hasSum_mahlerSeries, MeromorphicAt.sub, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticWithinAt.comp_sub, MeasureTheory.Lp.simpleFunc.toLp_zero, InnerProductGeometry.angle_sub_lt_pi_div_two_of_inner_eq_zero, intervalIntegral.integral_sub, differentiableAt_iff_comp_const_sub, MDifferentiableAt.clm_precomp, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, DifferentiableWithinAt.sub_const, Differentiable.fun_sub_iff_left, MeasureTheory.Lp.coeFn_nonneg, BoundedContinuousFunction.coe_abs, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDeriv_right, HasFPowerSeriesOnBall.tendsto_partialSum, MeasureTheory.tendsto_lintegral_norm_of_dominated_convergence, MeasureTheory.nnnorm_indicatorConstLp_le, DomMulAct.dist_smul_Lp, intervalIntegral.integral_Iic_sub_Iic, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, Complex.arg_div_coe_angle, MeasureTheory.Lp.instFourierInvAdd, HasFPowerSeriesWithinAt.prod, MeasureTheory.L1.setToL1_congr_left, MeasureTheory.lpNorm_le_lpNorm_add_lpNorm_sub, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, mdifferentiableOn_continuousLinearMapCoordChange, MeasureTheory.L1.setToL1_smul, hasFPowerSeriesAt_pi_iff, MeasureTheory.Lp.coeFn_lpSMul, MeasureTheory.SimpleFunc.integral_sub, ContDiffBump.apply, MeasureTheory.Lp.simpleFunc.coeFn_zero, Convex.isLittleO_pow_succ_real, intervalIntegral.integral_eq_sub_of_hasDerivAt_of_le, HasFDerivAtFilter.add, HasFDerivAt.lim_real, intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, AnalyticAt.comp_sub, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, DiffContOnCl.const_sub, deriv_sub_const, ProperCone.relative_hyperplane_separation, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, InnerProductGeometry.norm_sub_eq_add_norm_of_angle_eq_pi, MeasureTheory.condExpIndSMul_nonneg, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, coe_addEquiv_lpBCF_symm, FormalMultilinearSeries.zero_radius, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, MeasureTheory.L1.dist_def, Polynomial.isBoundedUnder_abs_atBot_iff, intervalIntegral.integral_eq_sub_of_hasDeriv_right, intervalIntegral.integral_smul_deriv_eq_deriv_smul, ContinuousLinearMap.coeFn_compLpL, Orientation.norm_div_sin_oangle_sub_left_of_oangle_eq_pi_div_two, StrongDual.norm_toLpₗ_le, Orientation.oangle_sub_left_smul_rotation_pi_div_two, HasFPowerSeriesWithinAt.restrictScalars, HasCompactSupport.contDiff_convolution_left, InnerProductGeometry.angle_sub_pos_of_inner_eq_zero, MeasureTheory.Lp.coe_mk, Real.Angle.two_zsmul_toReal_eq_two_mul_add_two_pi, MeasureTheory.Lp.instIsCentralScalar, TestFunction.coe_sub, HasDerivWithinAt.fun_sub, hasFPowerSeriesOnBall_inv_one_sub, ContinuousLinearMap.instNonnegSpectrumClassRealId, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left', FormalMultilinearSeries.analyticOnNhd, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, MeasureTheory.L1.norm_integral_le, hasFPowerSeriesOnBall_inverse_one_sub, hasDerivAtFilter_iff_tendsto, ContDiffMapSupportedIn.coe_sub, MeasureTheory.setIntegral_indicatorConstLp, HasFDerivAt.fun_sum, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasDerivAt.tendsto_slope, ProbabilityTheory.Kernel.continuous_integral_integral_comp, taylor_isLittleO, BoxIntegral.hasIntegral_const, iteratedFDeriv_comp_sub', ContinuousMap.toLp_injective, DifferentiableOn.sub_iff_right, StrongDual.toLpₗ_of_not_memLp, MeasureTheory.indicatorConstLp_sub, MeasureTheory.Submartingale.sum_smul_sub', Differentiable.sub_iff_left, Orientation.tan_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, DomAddAct.edist_vadd_Lp, hasFDerivAt_comp_sub, DifferentiableWithinAt.fun_sub, MeasureTheory.L1.aemeasurable_coeFn, EuclideanGeometry.Sphere.oangle_eq_pi_sub_two_zsmul_oangle_center_right, hasFPowerSeriesWithinAt_pi_iff, Orientation.oangle_sign_sub_right_swap, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, hasDerivAt_iff_isLittleO_nhds_zero, PadicInt.hasSum_mahler, HasMFDerivAt.sub, ProbabilityTheory.Kernel.integral_fn_integral_sub_comp, nnnorm_eq_zero, norm_abs_eq_norm, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, geom_series_mul_one_add, lipschitzWith_negPart, Meromorphic.fun_sub, MeasureTheory.condExpIndL1Fin_disjoint_union, MeasureTheory.Lp.instIsBoundedSMul, ContinuousMap.coe_toLp, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, DifferentiableAt.const_sub, DomMulAct.instIsIsometricSMulSubtypeAEEqFunMemAddSubgroupLp, HasMFDerivWithinAt.add, Orientation.two_zsmul_oangle_neg_self_left, MeasureTheory.Lp.antitone, ContinuousLinearMap.integral_comp_L1_comm, curveIntegralFun_add, Orientation.oangle_eq_pi_sub_two_zsmul_oangle_sub_of_norm_eq, span_fourierLp_closure_eq_top, HasFDerivWithinAt.sub, MeasureTheory.withDensityᵥ_add, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, MeasureTheory.L1.measurable_coeFn, spectrum.differentiableOn_inverse_one_sub_smul, MeasureTheory.aestronglyMeasurable_condExpL1CLM, HasFPowerSeriesAt.const_smul, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, iteratedFDeriv_succ_eq_comp_right, ContinuousMultilinearMap.changeOriginSeries_support, SchwartzMap.inner_fourierTransformCLM_toL2_eq, curveIntegralFun_sub, ContDiffMapSupportedIn.seminorm_apply, AnalyticAt.analyticOrderAt_comp, MeasureTheory.continuous_integral, ProbabilityTheory.iIndepFun.hasGaussianLaw_sub, HasFDerivAt.isBigO_sub, ContinuousMultilinearMap.hasFDerivAt, MeasureTheory.Lp.simpleFunc.isBoundedSMul, DifferentiableAt.sub, deriv_clm_comp, Convex.norm_image_sub_le_of_norm_deriv_le, MeasureTheory.Lp.coe_posPart, DifferentiableOn.fun_sub_iff_left, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, continuous_negPart, MeasureTheory.integrable_condExpL2_indicator, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, MeasureTheory.Lp.zero_smul, Submodule.sub_mem_orthogonal_of_inner_right, HasFiniteFPowerSeriesOnBall.eq_partialSum', EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, fderivWithin_fun_add, Complex.wedgeIntegral_add_wedgeIntegral_eq, HasFDerivWithinAt.curveIntegral_segment_source, HasFPowerSeriesOnBall.pi, MeasureTheory.weightedSMul_union', ContinuousMultilinearMap.piₗᵢ_symm_apply, ZLattice.summable_norm_sub_rpow, AnalyticAt.analyticOrderAt_ne_top, signedDist_vadd_right_swap, Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable, DomMulAct.smul_Lp_zero, Asymptotics.IsEquivalent.sub_isLittleO, DomAddAct.mk_vadd_toLp, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, coe_addEquiv_lpBCF, hasLineDerivAt_iff_tendsto_slope_zero, MeasureTheory.lpMeasSubgroupToLpTrim_norm_map, MDifferentiable.sub, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', ProbabilityTheory.strong_law_Lp, fderiv_continuousMultilinearMapCompContinuousLinearMap, InnerProductSpace.Core.inner_sub_left, Orientation.tan_oangle_sub_right_of_oangle_eq_pi_div_two, MeasureTheory.Lp.simpleFunc.toLp_sub, MeromorphicAt.meromorphicAt_sub_iff_meromorphicAt₁, MeasureTheory.Lp.simpleFunc.coe_smul, LinearIsometryEquiv.symm_conjStarAlgEquiv, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Submodule.topologicalClosure_eq_top_iff, HasFiniteFPowerSeriesOnBall.add, MeasureTheory.Lp.smul_def, iteratedDeriv_comp_const_sub, DifferentiableAt.sub_iff_right, HasFDerivAt.fun_add, MeasureTheory.Lp.norm_exponent_zero, hasFDerivWithinAt_comp_add_right, MeasureTheory.Lp.smul_neg, Unitary.two_mul_one_sub_le_norm_sub_one_sq, ValueDistribution.abs_characteristic_sub_characteristic_shift_eqO, MeasureTheory.L1.stronglyMeasurable_coeFn, HasFPowerSeriesAt.eventually_hasSum_of_comp, IsMprojection.Mnorm, HasDerivAtFilter.fun_sub, ContinuousMap.coeFn_toLp, MeasureTheory.L1.norm_setToL1_le_mul_norm', Real.Angle.zsmul_eq_iff, Real.fourier_bilin_convolution_eq_integral, intervalIntegral.integral_interval_sub_interval_comm, Orientation.cos_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, ProbabilityTheory.condVar_of_sigmaFinite, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.sqrt_I, HasFPowerSeriesAt.sub, MeasureTheory.Lp.instSMulCommClass, norm_le_zero_iff, OrthogonalFamily.range_linearIsometry, HasStrictFDerivAt.sum, MeasureTheory.Lp.simpleFunc.toLp_neg, sameRay_iff_norm_sub, ContinuousOn.integral_sub_linear_isLittleO_ae, MeasureTheory.L1.SimpleFunc.integral_smul, Function.HasTemperateGrowth.sub, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, MeasureTheory.lpTrimToLpMeas_ae_eq, norm_inf_sub_inf_le_norm, DomAddAct.vadd_Lp_const, ContinuousMultilinearMap.curryMid_apply, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, ClosedSubmodule.sInf_orthogonal, ContinuousMap.toLp_comp_toContinuousMap, ContMDiff.clm_postcomp, Polynomial.isBoundedUnder_abs_atTop_iff, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivAt, Submodule.HasOrthogonalProjection.exists_orthogonal, MeasureTheory.Lp.smul_comm, SchwartzMap.continuous_toLp, extDeriv_fun_add, hasFDerivAt_sub_const, InnerProductGeometry.norm_sub_eq_abs_sub_norm_iff_angle_eq_zero, MeasureTheory.isComplete_aestronglyMeasurable, MeasureTheory.Lp.simpleFunc.isUniformEmbedding, signedDist_vadd_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, DiffContOnCl.sub, MDifferentiableWithinAt.clm_postcomp, derivWithin_sub_const_fun, MeasureTheory.L1.integral_of_fun_eq_integral, MeasureTheory.L1.integral_zero, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, HasDerivWithinAt.const_sub, ContDiffBump.convolution_eq_right, ExistsContDiffBumpBase.w_def, HasFPowerSeriesAt.tendsto_partialSum, HasFiniteFPowerSeriesAt.add, SchwartzMap.toLp_fourierTransform_eq, MeasureTheory.setLIntegral_nnnorm_condExpIndSMul_le, HasFPowerSeriesAt.eventually_hasSum_sub, ProbabilityTheory.covarianceBilin_apply, BoxIntegral.integralSum_sub_partitions, MeasureTheory.continuous_indicatorConstLp_set, HasFDerivAt.linear_multilinear_comp, MeasureTheory.AEEqFun.Integrable.neg, MeasureTheory.condExpIndL1_of_not_measurableSet, iteratedFDerivWithin_comp_add_left', MeasureTheory.Lp.smul_add, MeasureTheory.L1.norm_setToL1_le', MeasureTheory.withDensitySMulLI_apply, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto, PhragmenLindelof.isBigO_sub_exp_rpow, EuclideanGeometry.hasFDerivAt_inversion, MeasureTheory.convolutionExistsAt_iff_integrable_swap, MeasureTheory.Lp.fourierInv_toTemperedDistribution_eq, deriv_div, PadicInt.norm_sub_modPart, hasFDerivAt_tsum, UnitAddTorus.hasSum_prod_mFourierCoeff, MeasureTheory.integral_integral_sub, inner_sub_right, LeftInvariantDerivation.map_sub, HasStrictDerivAt.fun_sub, DomMulAct.smul_Lp_ae_eq, riesz_lemma_of_norm_lt, MeromorphicOn.extract_zeros_poles, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, MeasureTheory.Lp.simpleFunc.isUniformInducing, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, MeasureTheory.L1.norm_of_fun_eq_integral_norm, HasFPowerSeriesOnBall.prod, Orientation.two_zsmul_oangle_smul_right_self, HasFDerivAt.curveIntegral_segment_source', HasFPowerSeriesWithinOnBall.neg, MeasureTheory.L1.integral_add, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, intervalIntegral.integral_deriv_eq_sub', MeasureTheory.aestronglyMeasurable_condExpIndSMul, PointwiseConvergenceCLM.tendsto_nhds_atTop, hasFPowerSeriesWithinOnBall_pi_iff, MeasureTheory.Lp.constL_apply, MeasureTheory.L2.mem_L1_inner, HasStrictFDerivAt.implicitToPartialHomeomorphOfComplemented_apply, HasFPowerSeriesOnBall.eventually_hasSum_sub, MeasureTheory.L1.integral_eq_integral, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp, MeasureTheory.martingalePart_eq_sum, MeasureTheory.setToFun_sub, ContDiffBump.dist_normed_convolution_le, MDifferentiableOn.clm_precomp, HasFDerivWithinAt.fun_sum, MeasureTheory.Integrable.coeFn_toL1, MeasureTheory.Lp.simpleFunc.coe_indicatorConst, hasFTaylorSeriesUpToOn_succ_iff_left, HasCompactSupport.hasDerivAt_convolution_left, VectorFourier.integral_bilin_fourierIntegral_eq_flip, Unitary.norm_sub_eq, MeasureTheory.condExpIndL1_disjoint_union, hasStrictFDerivAt_sub_const_iff, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, EuclideanGeometry.Sphere.two_zsmul_oangle_eq, MeasureTheory.Lp.inner_fourier_eq, MeasureTheory.Integrable.norm_toL1_eq_lintegral_norm, AffineMap.hasStrictDerivAt, EuclideanGeometry.Sphere.two_zsmul_oangle_center_add_two_zsmul_oangle_eq_pi, Orientation.norm_div_tan_oangle_sub_left_of_oangle_eq_pi_div_two, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, ZLattice.isAddFundamentalDomain, ContinuousLinearMap.adjointAux_inner_right, MeasureTheory.L1.aestronglyMeasurable_coeFn, nnnorm_commutator_sub_one_le, fderivWithin_sub, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.condExpInd_smul', MeasureTheory.L1.setToL1_add_left, MeasureTheory.Submartingale.sum_smul_sub, ContDiffMapSupportedIn.structureMapLM_zero_injective, sub_mem_posTangentConeAt_of_segment_subset, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, MeasureTheory.Lp.eLpNorm_lt_top, HasFDerivAt.const_sub, MeasureTheory.L2.integrable_inner, BoundedContinuousFunction.toLp_norm_le, Pretrivialization.continuousOn_continuousLinearMapCoordChange, MeasureTheory.Lp.continuous_negPart, HasStrictFDerivAt.fun_smul, MeasureTheory.Lp.coeFn_negPart, MeromorphicOn.fun_sub, MeasureTheory.withDensityᵥ_sub', curveIntegral_fun_sub, Orientation.two_zsmul_oangle_neg_right, Units.val_oneSub, EuclideanGeometry.reflection_apply', MeasureTheory.condExp_of_sigmaFinite, MeasureTheory.integral_sub_average, Real.Angle.cos_pi_div_two_sub, MeasureTheory.norm_setToFun_le_mul_norm, ContinuousLinearMap.hasFDerivAt_of_bilinear, MeasureTheory.MemLp.exists_boundedContinuous_eLpNorm_sub_le, Polynomial.abs_tendsto_atBot, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, FormalMultilinearSeries.min_radius_le_radius_add, Orientation.two_zsmul_oangle_sub_eq_two_zsmul_oangle_sub_of_norm_eq, MeasureTheory.L1.SimpleFunc.norm_eq_integral, MeasureTheory.condExpIndL1_of_measure_eq_top, ContinuousLinearMap.closed_range_of_antilipschitz, VonNeumannAlgebra.coe_toStarSubalgebra, ContinuousAlternatingMap.curryLeft_add, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, HasFDerivWithinAt.smul, extDeriv_apply_vectorField_of_pairwise_commute, MeasureTheory.L1.SimpleFunc.norm_integral_le_norm, Submodule.mem_adjoint_iff, NormedRing.inverse_add_norm_diff_first_order, MeasureTheory.lintegral_fn_integral_sub, MeasureTheory.Lp.simpleFunc.toLp_smul, PadicInt.norm_sub_zmodRepr_lt_one, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, EuclideanGeometry.Sphere.oangle_center_eq_two_zsmul_oangle, Function.FactorizedRational.extractFactor, MeasureTheory.L1.norm_setToL1_le_mul_norm, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, Filter.Tendsto.integral_sub_linear_isLittleO_ae, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivAt_sub_const_iff, MeasureTheory.MemLp.coeFn_toLp, HasDerivAt.div, HasDerivAt.continuousAt_div, Irreducible.maximalIdeal_eq_closedBall, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left', InnerProductGeometry.angle_sub_eq_arcsin_of_inner_eq_zero, BoxIntegral.integral_const, MeasureTheory.Lp.neg_smul, FormalMultilinearSeries.derivSeries_eq_zero, HasDerivAtFilter.isEquivalent_sub, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, ZLattice.summable_norm_sub_zpow, AffineMap.differentiableOn, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, MeasureTheory.Lp.instOrderClosedTopologySubtypeAEEqFunMemAddSubgroupOfClosedIciTopology, HasFPowerSeriesWithinAt.neg, selfAdjoint.val_re_map_spectrum, derivWithin_comp_add_const, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_sub, fderiv_clm_apply, ContinuousAlternatingMap.curryLeftLI_apply, eventuallyConst_iff_analyticOrderAt_sub_eq_top, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, exists_norm_eq_iInf_of_complete_convex, DifferentiableWithinAt.isBigO_sub, MeasureTheory.norm_condExpInd_le, WeakFEPair.hasMellin, MeasureTheory.setToFun_mono_left, MeasureTheory.MemLp.toLp_add, HasFPowerSeriesWithinAt.unshift, hasFDerivAtFilter_iff_tendsto, riesz_lemma_of_lt_one, InnerProductGeometry.norm_sub_eq_abs_sub_norm_of_angle_eq_zero, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, HasDerivAt.tendsto_slope_zero, Polynomial.abs_isBoundedUnder_iff, StrongDual.toLp_apply, MeasureTheory.Lp.coeFn_zero, MeasureTheory.mem_lpMeas_self, MeasureTheory.setIntegral_setAverage_sub, MeasureTheory.norm_Lp_toLp_restrict_le, MeasureTheory.Lp.coe_LpSubmodule, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, hasSum_sq_fourierCoeff, ContinuousLinearMap.holder_add_right, MeasureTheory.Lp.enorm_def, MeasureTheory.condExpInd_disjoint_union_apply, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, norm_sub_le_mul_volume_of_norm_fderiv_le, MeasureTheory.LocallyIntegrableOn.sub, FormalMultilinearSeries.changeOrigin_eval, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, iter_deriv_inv_linear_sub, ContinuousLinearMap.add_compLpL, MeasureTheory.L1.setToL1_simpleFunc_indicatorConst, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left, UnitAddTorus.mFourierBasis_repr, MeasureTheory.condExpIndL1Fin_ae_eq_condExpIndSMul, HasStrictFDerivAt.isTheta_sub, HasFPowerSeriesAt.prod, MeasureTheory.Lp.norm_measure_zero, Submodule.starProjection_minimal, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, MeasureTheory.tendsto_indicatorConstLp_set, LipschitzWith.coeFn_compLp, OrthonormalBasis.sum_rankOne_eq_id, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, fourierBasis_repr, MeasureTheory.Martingale.sub, HasFPowerSeriesWithinAt.add, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le', norm_sup_sub_sup_le_add_norm, MeasureTheory.L1.setToL1_zero_left', MeasureTheory.BoundedContinuousFunction.inner_toLp, Real.tendsto_integral_gaussian_smul, MeasureTheory.condExpL1_mono, MeasureTheory.submartingale_iff_condExp_sub_nonneg, MeasureTheory.Lp.coeFn_neg, Besicovitch.SatelliteConfig.exists_normalized_aux1, MeasureTheory.L1.norm_Integral_le_one, Orientation.oangle_sub_left_eq_arctan_of_oangle_eq_pi_div_two, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, MeasureTheory.Lp.toLp_compMeasurePreserving, MeasureTheory.Lp.coeFn_abs, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, Real.Angle.coe_zsmul, MeasureTheory.Lp.norm_eq_zero_iff, EuclideanGeometry.angle_const_sub, BoundedContinuousFunction.coe_negPart, Orientation.sin_oangle_sub_right_of_oangle_eq_pi_div_two, HasFDerivWithinAt.fun_add, FormalMultilinearSeries.radius_prod_eq_min, tendsto_norm_nhdsNE_zero, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, Orientation.two_zsmul_oangle_left_of_span_eq, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_div, Orientation.two_zsmul_oangle_smul_left_self, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, ContinuousMultilinearMap.currySum_apply, MeasureTheory.Integrable.sub', tendsto_sum_mul_atTop_nhds_one_sub_integral, MeasureTheory.Lp.coeFn_sub, MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto, geom_series_mul_neg, continuousMultilinearCurryRightEquiv_apply', MeasureTheory.Lp.meas_ge_le_mul_pow_enorm, UnitAddTorus.hasSum_sq_mFourierCoeff, norm_image_sub_le_of_norm_deriv_le_segment_01', Orientation.abs_oangle_sub_left_toReal_lt_pi_div_two, differentiableWithinAt_const_sub_iff, Differentiable.sub_const, ContinuousAlternatingMap.alternatizeUncurryFin_add, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, DomMulAct.nnnorm_smul_Lp, FormalMultilinearSeries.leftInv_removeZero, ContDiffAt.sub, Submodule.orthogonalProjectionFn_norm_sq, ContinuousLinearMap.extendTo𝕜'_apply, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, EuclideanGeometry.dist_smul_vadd_eq_dist, riesz_lemma, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, MeasureTheory.lintegral_nnnorm_condExpIndSMul_le, LipschitzWith.continuous_compLp, InnerProductGeometry.angle_sub_eq_arctan_of_inner_eq_zero, WeakFEPair.f_modif_aux1, MeasureTheory.Lp.smul_assoc, ContDiffMapSupportedIn.continuous_iff_comp, Differentiable.fun_sub, analyticAt_inverse_one_sub, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, MeasureTheory.integrable_condExpIndSMul, MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto', unitary.norm_sub_one_lt_two_iff, HasFPowerSeriesOnBall.hasSum_sub, fderivWithin_continuousAlternatingMap_apply, norm_sub_le_integral_of_norm_deriv_le_of_le, HasFPowerSeriesAt.eq_zero_of_eventually, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_sub, MeasureTheory.Lp.toTemperedDistribution_apply, SchwartzMap.smulLeftCLM_sub, deriv_descPochhammer_eval_eq_sum_prod_range_erase, LipschitzWith.compLp_zero, analyticAt_inv_one_sub, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivWithinAt, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, MeasureTheory.tendsto_Lp_finite_of_tendstoInMeasure, SchwartzMap.fourier_convolution_apply, MeasureTheory.condExpL1_zero, MeasureTheory.Lp.compMeasurePreserving_continuous, RCLike.instNormSMulClassInt, ExistsContDiffBumpBase.w_integral, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq', Collinear.two_zsmul_oangle_eq_left, MeasureTheory.Lp.coeFn_posPart, MDifferentiable.clm_precomp, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, EuclideanGeometry.Cospherical.two_zsmul_oangle_eq, MeasureTheory.L1.SimpleFunc.setToL1S_add, FormalMultilinearSeries.le_radius_pi, continuousMultilinearCurryLeftEquiv_symm_apply, dist_right_lineMap, fderivWithin_add, taylor_mean_remainder_bound, MeasureTheory.L1.norm_sub_eq_lintegral, MeasureTheory.norm_indicatorConstLp', DifferentiableAt.fun_sub_iff_left, HasStrictFDerivAt.fun_add, MeasureTheory.Lp.neg_smul_neg, HasFDerivAtFilter.isBigO_sub, iteratedFDeriv_succ_eq_comp_left, MeasureTheory.isometry_lpMeasSubgroupToLpTrim, MeasureTheory.integrable_condExpL1, ContinuousLinearMap.smul_compLpL, InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_sub_two_mul_norm_mul_norm_mul_cos_angle, Convex.norm_image_sub_le_of_norm_fderiv_le', MeasureTheory.Integrable.toL1_add, ClosedSubmodule.orthogonal_closure, ContinuousLinearMap.norm_compLpL_le, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, ZSpan.vadd_mem_fundamentalDomain, DomMulAct.smul_Lp_const, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left, hasGradientWithinAt_iff_tendsto, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, sum_mul_eq_sub_integral_mul, MeromorphicAt.fun_sub, unitary.norm_sub_one_sq_eq, HasFDerivWithinAt.curveIntegral_segment_source', ContinuousMultilinearMap.piₗᵢ_apply, MeasureTheory.setIntegral_condExpL1CLM, MeasureTheory.L1.hasFiniteIntegral_coeFn, ContMDiffWithinAt.clm_precomp, ZSpan.fract_apply, NormedRing.inverse_one_sub_nth_order', fderiv_comp_sub, differentiableWithinAt_comp_add_left, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, FormalMultilinearSeries.radius_pi_le, Real.Angle.cos_sub_pi_div_two, tsum_sq_fourierCoeff, MeasureTheory.lpMeasToLpTrim_ae_eq, MeasureTheory.eLpNorm_condExpL2_le, hasDerivAt_iff_tendsto, ContDiffOn.sub, sub_smul_dslope, norm_image_sub_le_of_norm_deriv_right_le_segment, MeasureTheory.eLpNorm_sub_le_of_dist_bdd, extDerivWithin_apply, Complex.integral_boundary_rect_eq_zero_of_continuousOn_of_differentiableOn, MeasureTheory.L1.integral_eq', AnalyticAt.fun_sub, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, VectorField.lieBracketWithin_eq, PadicInt.continuousAddCharEquiv_apply, intervalIntegral.integral_deriv_eq_sub_uIoo, InnerProductGeometry.cos_angle_sub_mul_norm_of_inner_eq_zero, unitary.norm_argSelfAdjoint_le_pi, Complex.IsConservativeOn.eventually_nhds_wedgeIntegral_sub_wedgeIntegral, Real.Angle.two_zsmul_eq_zero_iff, MeasureTheory.Lp.simpleFunc.denseRange_coeSimpleFuncNonnegToLpNonneg, ContinuousAt.integral_sub_linear_isLittleO_ae, ContMDiff.clm_precomp, VectorField.fderivWithin_apply_lieBracket, Orientation.cos_oangle_sub_left_of_oangle_eq_pi_div_two, HasFPowerSeriesWithinAt.compContinuousLinearMap, EuclideanGeometry.orthogonalProjection_apply, EuclideanGeometry.two_zsmul_oangle_eq_of_dist_orthogonalProjection_line_eq, LeftInvariantDerivation.commutator_apply, derivWithin_sub, FormalMultilinearSeries.derivSeries_apply_diag, derivWithin_comp_const_add, prod_vanishing_of_summable_norm, FormalMultilinearSeries.norm_changeOriginSeriesTerm, InnerProductGeometry.angle_sub_eq_angle_sub_rev_of_norm_eq, curveIntegral_add, DifferentiableOn.fun_sub_iff_right, Unitary.norm_argSelfAdjoint_le_pi, norm_inf_sub_inf_le_add_norm, hasGradientWithinAt_iff_isLittleO, Matrix.cstar_norm_def, MeasureTheory.convolution_eq_swap, continuous_posPart, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, HasFPowerSeriesWithinOnBall.tendsto_partialSum, RCLike.conj_eq_re_sub_im, MeasureTheory.condExp_sub, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul, MeasureTheory.Lp.simpleFunc.isDenseInducing, HasFDerivAtFilter.isEquivalent_sub, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, ContinuousLinearMap.norm_holderL_le, MeasureTheory.integral_mul_deriv_eq_deriv_mul, Complex.cderiv_sub, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, MeasureTheory.lpMeas.ae_fin_strongly_measurable', curveIntegral_sub, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, MeasureTheory.L1.setToL1'_eq_setToL1SCLM, DifferentiableAt.sub_const, HasCompactSupport.contDiff_convolution_right, iteratedDeriv_sub, MeasureTheory.condExpIndSMul_smul', MeasureTheory.condExpL1_sub, ProbabilityTheory.Kernel.lintegral_fn_integral_sub, ValueDistribution.proximity_coe, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpLpMeasSubgroupOfFactLeMeasurableSpace, Besicovitch.SatelliteConfig.exists_normalized, MeasureTheory.condExp_stronglyMeasurable_bilin_of_bound, ProbabilityTheory.instIsGaussianMapHSub_1, ContinuousAlternatingMap.hasFDerivAt, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, hasCompactSupport_norm_iff, inner_sub_sub_self, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, iteratedFDerivWithin_comp_sub', MeasureTheory.lpTrimToLpMeasSubgroup_ae_eq, EuclideanGeometry.two_zsmul_oangle_of_vectorSpan_eq, Orientation.norm_div_cos_oangle_sub_right_of_oangle_eq_pi_div_two, Unitary.openPartialHomeomorph_apply, ContinuousLinearMap.isPositive_sum, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivWithinAt, MeasureTheory.L1.integral_sub, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, Unitary.argSelfAdjoint_coe, MeasureTheory.Lp.coeFn_inf, MeasureTheory.ContinuousMap.inner_toLp, Asymptotics.IsEquivalent.isLittleO, Orientation.oangle_eq_two_zsmul_oangle_sub_of_norm_eq_real, HasStrictDerivAt.const_sub, Memℓp.sub, ZLattice.sum_piFinset_Icc_rpow_le, FormalMultilinearSeries.rightInv_coeff, lipschitzWith_posPart, ValueDistribution.logCounting_coe, MeasureTheory.AEStronglyMeasurable.convolution_integrand', MeasureTheory.L1.SimpleFunc.integral_L1_eq_integral, tendsto_integral_comp_smul_smul_of_integrable', MeasureTheory.Lp.simpleFunc.toLp_eq_mk, sum_mul_eq_sub_integral_mul₀, DomAddAct.dist_vadd_Lp, hasFDerivWithinAt_iff_tendsto, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', Orientation.oangle_sub_right, ClosedSubmodule.orthogonal_closure', fderivWithin_comp_add_right, HasFiniteFPowerSeriesOnBall.sub, ContinuousLinearMap.holderL_apply_apply, MeasureTheory.Lp.instContinuousFourier, differentiableAt_comp_sub, derivWithin_sub_const, MeasureTheory.tendsto_integral_norm_approxOn_sub, DomAddAct.vadd_Lp_zero, MeasureTheory.condExpInd_empty, MeasureTheory.condExpL1CLM_smul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, HasStrictFDerivAt.sub, LipschitzWith.norm_compLp_le, ContMDiffWithinAt.cle_arrowCongr, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, MeasureTheory.L1.edist_def, continuousMultilinearCurryRightEquiv_apply, MeasureTheory.Lp.simpleFunc.toSimpleFunc_eq_toFun, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, MeasureTheory.continuous_setIntegral, ContDiffMapSupportedIn.structureMapLM_zero_apply, AffineMap.deriv, MeasureTheory.MemLp.toLp_zero, ProbabilityTheory.Kernel.integral_integral_sub'_comp, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Orientation.two_zsmul_oangle_smul_smul_self, AnalyticAt.analyticOrderAt_sub_eq_one_of_deriv_ne_zero, ValueDistribution.abs_characteristic_sub_characteristic_shift_le, UnitAddTorus.span_mFourierLp_closure_eq_top, Orientation.rotation_symm_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, HasFPowerSeriesAt.compContinuousLinearMap, WeakFEPair.f_modif_aux2, Real.Angle.sin_sub_pi_div_two, fderivWithin_clm_apply, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, differentiableAt_iff_comp_sub_const, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, Orientation.norm_div_tan_oangle_sub_right_of_oangle_eq_pi_div_two, ApproximatesLinearOn.lipschitzOnWith, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, MeasureTheory.MemLp.sub, MeasureTheory.condExpIndL1Fin_smul', ContinuousLinearMap.norm_holder_apply_apply_le, MeasureTheory.Lp.edist_dist, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div_of_integrable, MeasureTheory.AEEqFun.Integrable.add, fderivWithin_sum, BoundedContinuousFunction.range_toLp, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, hasDerivWithinAt_iff_tendsto_slope, EuclideanGeometry.oangle_sub_right, FormalMultilinearSeries.continuousOn, MeasureTheory.indicatorConstLp_disjoint_union, iteratedFDeriv_tsum_apply, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div, Orientation.oangle_sign_smul_sub_right, HasStrictFDerivAt.sub_const, torusIntegral_sub, MeasureTheory.contDiffOn_convolution_right_with_param_aux, Function.Periodic.intervalIntegral_add_zsmul_eq, MeasureTheory.L1.integral_eq, fderiv_continuousLinearEquiv_comp', ContDiffPointwiseHolderAt.zero_order_iff, MeasureTheory.indicatorConstLp_coeFn, norm_image_sub_le_of_norm_deriv_le_segment', VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrable, Submodule.exists_norm_eq_iInf_of_complete_subspace, HasDerivAtFilter.isTheta_sub, constFormalMultilinearSeries_zero, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, MeasureTheory.Submartingale.sub_martingale, ContDiffBump.convolution_tendsto_right_of_continuous, MeasureTheory.Lp.fourier_toTemperedDistribution_eq, ContinuousMultilinearMap.curryFinFinset_apply, MeasureTheory.Lp.const_val, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, unitary.mem_pathComponentOne_iff, intervalIntegral.integral_interval_sub_left, nndist_self_homothety, MeasureTheory.Lp.simpleFunc.coeFn_nonneg, FormalMultilinearSeries.changeOriginSeriesTerm_bound, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp, MeasureTheory.tendstoInMeasure_iff_tendsto_Lp_finite, MeasureTheory.L1.setToL1'_apply_coeToLp, derivWithin_const_sub, SchwartzMap.denseRange_toLpCLM, SchwartzMap.toZeroAtInftyCLM_apply, SchwartzMap.toLp_fourier_eq, DomMulAct.smul_Lp_val, NormedSpace.discreteTopology_zmultiples, HasFTaylorSeriesUpToOn.restrictScalars, DomAddAct.nnnorm_vadd_Lp, MeasureTheory.L1.setToL1_const, HasFDerivWithinAt.sub_const, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, DifferentiableOn.sub_iff_left, norm_sup_sub_sup_le_norm, CurveIntegrable.add, MeasureTheory.norm_condExpIndL1Fin_le, hasFPowerSeriesAt_iff', hasFDerivAt_tsum_of_isPreconnected, fderivWithin_fun_sum, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, MeasureTheory.continuous_L1_toL1, MeasureTheory.integral_Iic_deriv_mul_eq_sub, Orientation.oangle_sub_right_eq_arctan_of_oangle_eq_pi_div_two, ProbabilityTheory.Kernel.lintegral_fn_integral_sub_comp, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm, differentiableAt_comp_sub_const, MeasureTheory.indicatorConstLp_empty, MeasureTheory.Integrable.edist_toL1_toL1, MeasureTheory.MemLp.toLp_const_smul, Submodule.orthogonalProjection_orthogonal, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_meas, MeasureTheory.L1.setToL1_lipschitz, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, MeasureTheory.Integrable.toL1_neg, geom_series_eq_inverse, MeasureTheory.norm_condExpL2_le_one, HasCompactSupport.convolution_integrand_bound_right, MeasureTheory.setToFun_eq, MeasureTheory.condExpL2_comp_continuousLinearMap, MeasureTheory.integral_of_hasDerivAt_of_tendsto, Complex.arg_zpow_coe_angle, MeasureTheory.Lp.coeFn_star, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, ContMDiffAt.cle_arrowCongr, ContinuousLinearMap.holder_add_left, DifferentiableOn.fun_sub, hasFDerivAt_iff_isLittleO_nhds_zero, fderivWithin_comp_sub, Orientation.norm_div_cos_oangle_sub_left_of_oangle_eq_pi_div_two, ContDiffMapSupportedIn.structureMapLM_apply, fderiv_tsum_apply, RCLike.normSq_sub, nndist_homothety_self, EuclideanGeometry.reflection_apply, HasCompactSupport.convolution_integrand_bound_right_of_subset, deriv_const_sub, MeasureTheory.dist_indicatorConstLp_eq_norm, Filter.IsBoundedUnder.isLittleO_sub_self_inv, Real.fourier_smul_convolution_eq, exists_seq_norm_le_one_le_norm_sub', LipschitzWith.norm_compLp_sub_le, MeasureTheory.Lp.simpleFunc.toLp_add, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, norm_sub_pos_iff, MeasureTheory.condExpL2_const_inner, SpectrumRestricts.nnreal_iff_nnnorm, MeasureTheory.Lp.isometry_compMeasurePreserving, PadicInt.existsUnique_mem_range, intervalIntegral.integral_deriv_of_contDiffOn_Icc, MeasureTheory.Submartingale.condExp_sub_nonneg, ContinuousAlternatingMap.alternatizeUncurryFin_apply, MeasureTheory.IntegrableAtFilter.sub, HasFDerivAt.smul, coeFn_fourierLp, MeasureTheory.Lp.simpleFunc.dense, PadicInt.toZMod_spec, MeasureTheory.Lp.instFourierAdd, isUnit_one_sub_of_norm_lt_one, MeasureTheory.integral_convolution, RightDerivMeasurableAux.le_of_mem_A, ContinuousMultilinearMap.norm_curryMid, AnalyticOnNhd.sub, Submodule.starProjection_tendsto_closure_iSup, MeasureTheory.Lp.simpleFunc.zero_toSimpleFunc, LinearMap.exists_map_addHaar_eq_smul_addHaar', Orientation.two_zsmul_oangle_right_of_span_eq, MeasureTheory.norm_setToFun_le, iteratedFDerivWithin_add_apply', domain_mvt, MeasureTheory.Lp.toTemperedDistribution_smul_eq, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, MeasureTheory.Lp_toLp_restrict_smul, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_sub, iteratedDeriv_fun_sub, FormalMultilinearSeries.hasFPowerSeriesOnBall, WeakFEPair.hf_top, MeasureTheory.condExpL1_eq, DomAddAct.vadd_Lp_val, MeasureTheory.L1.SimpleFunc.coe_posPart, Orientation.abs_oangle_sub_right_toReal_lt_pi_div_two, MeasureTheory.Lp.compMeasurePreserving_val, ContinuousLinearMap.instStarOrderedRingRCLike, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, ContMDiff.cle_arrowCongr, hasStrictFDerivAt_sub_const, MeasureTheory.Lp.instContinuousSMulDomMulAct, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, MeasureTheory.Lp.norm_compMeasurePreserving, norm_image_sub_le_of_norm_deriv_le_segment_01, ExistsContDiffBumpBase.w_mul_φ_nonneg, MeasureTheory.Lp.nnnorm_zero, MeasureTheory.setToFun_toL1, hasFDerivWithinAt_comp_add_left, extDeriv_apply, MeromorphicAt.meromorphicOrderAt_comp, MeasureTheory.condExpL2_indicator_nonneg, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, HasCompactSupport.hasFDerivAt_convolution_left, selfAdjoint.expUnitary_coe, HasFDerivWithinAt.sum, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp_eLpNorm, HasDerivAt.tendsto_slope_zero_right, MeasureTheory.L1.integral_neg, MeasureTheory.MemLp.toLp_sub, Function.FactorizedRational.meromorphicNFOn, ContinuousLinearMap.hasDerivAt_of_bilinear, HasDerivAtFilter.const_sub, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, signedDist_vadd_vadd, iter_deriv_pow, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, MeasureTheory.Lp.simpleFunc.norm_toLp, DomMulAct.smul_Lp_add, HasFDerivAt.fun_sub, Real.circleAverage_fun_sub, MeasureTheory.tendsto_Lp_finite_of_tendsto_ae, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContDiffBump.sub, ContinuousMultilinearMap.curryMidEquiv_symm_apply, MeasureTheory.Lp.continuous_posPart, ContinuousMultilinearMap.uncurryRight_norm, MeasureTheory.Lp.norm_def, EuclideanGeometry.angle_const_vadd, Real.Angle.sin_sub_pi, ContinuousLinearMap.coeFn_compLp', InnerProductSpace.Core.inner_sub_right, TorusIntegrable.sub, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, deriv_comp_sub_const, iteratedFDeriv_add_apply', hasDerivWithinAt_sub_const_iff, MeasureTheory.MemLp.toLp_const, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, Besicovitch.SatelliteConfig.exists_normalized_aux3, MeasureTheory.Supermartingale.sub_submartingale, unitary.continuousOn_argSelfAdjoint, MeasureTheory.lpMeas.aestronglyMeasurable, unitary.spectrum_subset_slitPlane_iff_norm_lt_two, MeasureTheory.L1.SimpleFunc.setToL1S_smul, HasFDerivAtFilter.sub_const, MeasureTheory.MemLp.abs, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, HilbertBasis.finite_spans_dense, MeasureTheory.L1.norm_eq_integral_norm
toMetricSpace 📖	CompOp	1 math math: dist_eq
toNorm 📖	CompOp	17 math math: norm_eq_zero, tendsto_norm_sub_self_nhdsNE, dist_eq, norm_pos_iff, comap_norm_nhdsGT_zero, AddGroupNormClass.toNormedAddGroup_norm_eq, eq_zero_or_norm_pos, ContinuousOn.isBigO_rev_principal, norm_sub_eq_zero_iff, ContinuousOn.isTheta_principal, ContinuousOn.isBigOWith_rev_principal, Continuous.bounded_above_of_compact_support, norm_le_zero_iff, tendsto_norm_nhdsNE_zero, HasCompactSupport.norm, hasCompactSupport_norm_iff, norm_sub_pos_iff
toSeminormedAddGroup 📖	CompOp	8 math math: tendsto_norm_sub_self_nhdsNE, eq_zero_or_nnnorm_pos, comap_norm_nhdsGT_zero, Hamming.nnnorm_eq_hammingNorm, normRingNorm_toFun, nnnorm_eq_zero, tendsto_norm_nhdsNE_zero, nnnorm_pos

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid toAddGroup	—	—

NormedCommGroup

Definitions

Name	Category	Theorems
ofMulDist 📖	CompOp	—
ofMulDist' 📖	CompOp	—
ofSeparation 📖	CompOp	—
toCommGroup 📖	CompOp	1 math math: dist_eq
toMetricSpace 📖	CompOp	5 math math: dist_eq, IsUpperSet.thickening', IsUpperSet.cthickening', IsLowerSet.thickening', IsLowerSet.cthickening'
toNorm 📖	CompOp	2 math math: dist_eq, GroupNormClass.toNormedCommGroup_norm_eq
toNormedGroup 📖	CompOp	—
toSeminormedCommGroup 📖	CompOp	3 math math: SeparationQuotient.nnnorm_mk', upperClosure_interior_subset', lowerClosure_interior_subset'

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm DivInvMonoid.toDiv Group.toDivInvMonoid CommGroup.toGroup toCommGroup	—	—

NormedGroup

Definitions

Name	Category	Theorems
ofMulDist 📖	CompOp	—
ofMulDist' 📖	CompOp	—
ofSeparation 📖	CompOp	—
toGroup 📖	CompOp	12 math math: tendsto_norm_nhdsNE_one, eq_one_or_nnnorm_pos, coe_normGroupNorm, tendsto_norm_div_self_nhdsNE, eq_one_or_norm_pos, norm_eq_zero', comap_norm_nhdsGT_zero', nnnorm_eq_zero', norm_div_eq_zero_iff, norm_div_pos_iff, norm_le_zero_iff', dist_eq
toMetricSpace 📖	CompOp	1 math math: dist_eq
toNorm 📖	CompOp	12 math math: tendsto_norm_nhdsNE_one, norm_pos_iff', coe_normGroupNorm, tendsto_norm_div_self_nhdsNE, eq_one_or_norm_pos, norm_eq_zero', comap_norm_nhdsGT_zero', GroupNormClass.toNormedGroup_norm_eq, norm_div_eq_zero_iff, norm_div_pos_iff, norm_le_zero_iff', dist_eq
toSeminormedGroup 📖	CompOp	6 math math: tendsto_norm_nhdsNE_one, eq_one_or_nnnorm_pos, tendsto_norm_div_self_nhdsNE, comap_norm_nhdsGT_zero', nnnorm_pos', nnnorm_eq_zero'

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm DivInvMonoid.toDiv Group.toDivInvMonoid toGroup	—	—

SeminormedAddCommGroup

Definitions

Name	Category	Theorems
ofAddDist 📖	CompOp	—
ofAddDist' 📖	CompOp	—
toAddCommGroup 📖	CompOp	2409 math math: singleton_sub_closedBall_zero, Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, hasFDerivAt_iff_hasDerivAt, ContMDiffAt.coordChangeL, LinearMap.IsSymmetric.clm_adjoint_eq, Filter.BoundedAtFilter.add, DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply, LinearIsometryEquiv.strictConvex_preimage, PiTensorProduct.mapL_id, continuousSMul_sphere_ball, PiLp.continuousLinearEquiv_symm_apply, ball_sub, Submodule.starProjection_apply_eq_isComplProjection, fderiv_iteratedFDeriv, Affine.Triangle.equilateral_iff_dist_01_eq_02_and_dist_01_eq_12, FormalMultilinearSeries.comp_rightInv_aux1, MDifferentiable.coordChangeL, hasStrictFDerivAt_const_add_iff, isConformalMap_conj, Orthonormal.linearIndependent, ContinuousMultilinearMap.norm_mkPiRing, LinearIsometryEquiv.hasStrictFDerivAt, ContinuousLinearMap.derivWithin_of_bilinear, Bundle.ContMDiffRiemannianMetric.isVonNBounded, SchwartzMap.lineDerivOpCLM_eq, IsUltrametricDist.isNonarchimedean_norm, Asymptotics.isBigO_neg_left, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Bundle.ContMDiffRiemannianMetric.contMDiff, NormedAddCommGroup.cauchy_series_of_le_geometric'', continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, LinearIsometryEquiv.comp_fderiv, AffineIsometry.image_intrinsicClosure, ContinuousLinearMap.isBigO_comp, Finset.Nonempty.norm_sum_le_sup'_norm, ContinuousAlternatingMap.opNorm_prod, Submodule.IsCompl.projection_isSymmetricProjection_iff, Orthonormal.inner_left_finsupp, ProbabilityTheory.isGaussian_iff_gaussian_charFun, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, locallyLipschitz_neg_iff, ContinuousLinearMap.analyticWithinAt_bilinear, Complex.restrictScalars_one_smulRight', Matrix.frobeniusIsBoundedSMul, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, Matrix.linfty_opNorm_diagonal, ContinuousLinearMap.opNorm_prod, FormalMultilinearSeries.comp_partialSum, IsLocalMaxOn.norm_add_self, ContinuousLinearMap.norm_inr_le_one, LinearIsometry.coe_toLinearMap, Asymptotics.isBigO_zero_right_iff, Affine.Simplex.orthogonalProjectionSpan_map, MeasureTheory.Measure.addHaar_image_continuousLinearMap, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, InnerProductSpace.toLinearIsometry_toDual, SchwartzMap.integral_sesq_fourier_fourier, MeasureTheory.charFun_eq_fourierIntegral', Matrix.norm_diagonal, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, segment_subset_closedBall_right, Complex.linearEquiv_det_conjLIE, hasStrictFDerivAt_exp_of_mem_ball, hasFDerivAt_iff_hasGradientAt, Asymptotics.isBigO_const_smul_right, LinearIsometry.norm_compContinuousAlternatingMap, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, dist_midpoint_right, extDeriv_constOfIsEmpty, Real.fderiv_fourierIntegral, Submodule.orthogonalDecomposition_symm_apply, hasSum_iff_tendsto_nat_of_summable_norm, LinearIsometry.nnnorm_toContinuousLinearMap, InnerProductSpace.rankOne_one_left_eq_innerSL, AffineIsometryEquiv.coe_symm_toAffineEquiv, tendsto_const_add_cobounded, NonUnitalCStarAlgebra.toStarModule, LinearMap.IsSymmetric.restrictScalars, MeasureTheory.aefinStronglyMeasurable_iff_aemeasurable, ContinuousLinearMap.continuous_det, HasFiniteFPowerSeriesAt.neg, LinearIsometryEquiv.piLpCongrRight_symm, PiTensorProduct.mapLMonoidHom_apply, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.norm_constOfIsEmpty, IsBoundedBilinearMap.hasFDerivAt, ContinuousLinearMap.sSup_unit_ball_eq_norm, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, IsBoundedLinearMap.fst, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, hasFDerivAtFilter_pi, Affine.Simplex.finiteDimensional_direction_altitude, ProbabilityTheory.covarianceBilinDual_apply', Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, OrthonormalBasis.repr_injective, continuousSMul_sphere_sphere, LinearMap.IsSymmetric.isFinitelySemisimple, hasFTaylorSeriesUpToOn_top_iff_right, LinearIsometry.map_smul, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, LinearIsometryEquiv.withLpProdComm_symm, Affine.Simplex.circumcenter_map, WithLp.nnnorm_toLp_inr, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, Matrix.spectrum_toEuclideanLin, ContinuousLinearMap.norm_inl_le_one, SchwartzMap.pairing_apply_apply, InnerProductSpace.isIdempotentElem_rankOne_self, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, parallelogram_law_with_nnnorm, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, Orientation.linearEquiv_det_rotation, ContinuousLinearMap.isBigOWith_sub, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, FormalMultilinearSeries.changeOriginSeriesTerm_apply, HasFTaylorSeriesUpTo.cont, DoubleCentralizer.intCast_snd, HasDerivWithinAt.complexToReal_fderiv', AffineIsometryEquiv.linear_eq_linear_isometry, NormedAddCommGroup.cauchy_series_of_le_geometric', Asymptotics.isBigOWith_neg_right, ZLattice.covolume_eq_det_inv, dist_partial_sum, ProbabilityTheory.covarianceBilinDual_apply, MeasureTheory.TendstoInDistribution.add_of_tendstoInMeasure_const, Real.posLog_norm_add_le, hasFDerivAt_stereoInvFunAux, NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, Real.fderiv_fourierChar_neg_bilinear_right_apply, LinearMap.IsSymmetric.diagonalization_apply_self_apply, LinearIsometryEquiv.comp_fderivWithin, EuclideanGeometry.orthogonalProjection_congr, real_inner_smul_self_left, AntilipschitzWith.neg, intervalIntegral.fderiv_integral_of_tendsto_ae, ImplicitFunctionData.hasStrictFDerivAt_leftFun, Orientation.volumeForm_robust_neg, Submodule.starProjection_orthogonal', NormedSpace.isBounded_iff_subset_smul_ball, LinearMap.IsSymmetric.im_inner_self_apply, Submodule.toLinearEquiv_orthogonalDecomposition, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, DilationEquiv.smulTorsor_symm_apply, ContDiffMapSupportedIn.structureMapCLM_apply, iteratedFDerivWithin_succ_eq_comp_right, ContinuousAlternatingMap.opNNNorm_pi, HasFPowerSeriesWithinAt.const_smul, diam_smul₀, innerSL_apply_apply, NormedSpace.isVonNBounded_iff, LinearIsometryEquiv.fderivWithin, Affine.Simplex.incenter_map, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, inner_sum, HasFTaylorSeriesUpTo.hasFDerivAt, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, ContMDiffWithinAt.mfderivWithin_const, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContinuousLinearMap.toBilinForm_apply, ProbabilityTheory.covarianceBilin_apply_eq_cov, ProbabilityTheory.covarianceBilin_self, LinearMap.adjoint_eq_toCLM_adjoint, dist_left_midpoint, dist_iteratedFDerivWithin_one, NormedSpace.image_isVonNBounded_iff, ContinuousLinearMap.nnnorm_def, WithLp.prod_norm_eq_idemFst_of_L1, SemilinearIsometryEquivClass.toSemilinearEquivClass, ContinuousLinearMap.norm_compContinuousMultilinearMap_le, Orientation.volumeForm_neg_orientation, WithLp.isBoundedSMulSeminormedAddCommGroupToProd, AbsolutelyContinuousOnInterval.add, GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpace, ImplicitFunctionData.implicitFunction_hasStrictFDerivAt, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, ProbabilityTheory.uncenteredCovarianceBilin_apply, Asymptotics.isBigO_zero, MeasureTheory.charFun_neg, ContDiffPointwiseHolderAt.isBigO, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, Submodule.Quotient.instIsBoundedSMul, Asymptotics.IsLittleO.right_isTheta_add, mdifferentiableOn_symm_coordChangeL, ContinuousLinearMap.opNorm_lsmul_apply_le, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, SchwartzMap.bilinLeftCLM_apply, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, Submodule.starProjection_singleton, instSMulCommClass_sphere_sphere_sphere, Bundle.RiemannianMetric.isVonNBounded, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, hasStrictFDerivAt_snd, NormedSpace.toIsBoundedSMul, HasFPowerSeriesAt.neg, ContinuousLinearMap.measurable, EuclideanGeometry.orthogonalProjection_contLinear, nnnorm_sum_le, egauge_ball_le_of_one_lt_norm, MeasureTheory.charFun_toDual_symm_eq_charFunDual, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, MeasureTheory.charFun_eq_fourierIntegral, ContinuousAlternatingMap.piLIE_apply_apply, BoundedContinuousFunction.coe_neg, Differentiable.fderiv_norm_rpow, ContinuousLinearMap.isBigOWith_id, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, LinearIsometry.map_add, curveIntegrable_fun_neg_iff, AbsolutelyContinuousOnInterval.const_smul, OrthonormalBasis.det_eq_neg_det_of_opposite_orientation, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, norm_add_pow_two_real, Asymptotics.IsBigO.smul, OrthonormalBasis.det_to_matrix_orthonormalBasis_of_opposite_orientation, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, LinearMap.toContinuousLinearMap₁_coe, ContinuousLinearMap.opNNNorm_le_iff, ContinuousLinearMap.isometry_mul_flip, EuclideanGeometry.reflection_map, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, ProbabilityTheory.HasGaussianLaw.toLp_pi, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, InnerProductSpace.smul_left, balanced_ball_zero, iteratedFDerivWithin_succ_eq_comp_left, ContinuousMultilinearMap.opNorm_zero_iff, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, hasStrictFDerivAt_exp_smul_const_of_mem_ball', contDiffOn_iff_continuousOn_differentiableOn, Summable.of_nnnorm_bounded, hasFDerivWithinAt_comp_smul_iff_smul, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, coe_neg_closedBall, Submodule.subtypeₗᵢ_toContinuousLinearMap, CStarModule.innerSL_apply, instContinuousNegElemBallOfNat, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, LinearIsometryEquiv.conjStarAlgEquiv_apply, LipschitzOnWith.neg, contDiff_one_iff_fderiv, MeasureTheory.ConvolutionExistsAt.integrable, nndist_midpoint_right, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Asymptotics.IsLittleO.sum, Asymptotics.IsBigOWith.const_smul_self, inner_smul_left_eq_star_smul, nndist_smul₀, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, Asymptotics.isBigOWith_zero_right_iff, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, ContinuousLinearMap.ebound, InnerProductSpace.inner_left_rankOne_apply, hasFDerivWithinAt_sub_const_iff, ContinuousAlternatingMap.norm_def, LinearIsometryEquiv.map_zero, SchwartzMap.fderivCLM_apply, Asymptotics.IsLittleO.tendsto_zero_of_tendsto, ContinuousLinearMap.norm_extendTo𝕜, LinearIsometry.id_toContinuousLinearMap, Pretrivialization.continuousLinearMap_symm_apply', ContinuousAlternatingMap.curryLeft_smul, PiLp.norm_toLp_single, TrivSqZeroExt.instNormOneClass, polynomialFunctions.starClosure_topologicalClosure, DifferentiableAt.fderiv_prodMk, innerₛₗ_apply_apply, Real.hasStrictFDerivAt_rpow_of_pos, hasFDerivWithinAt_inv, eventually_nhds_norm_smul_sub_lt, LinearIsometry.coe_toContinuousLinearMap, OrthonormalBasis.repr_self, ContDiffAt.continuousAt_fderiv, Real.integrable_prod_sub, NormedSpace.isVonNBounded_ball, OrthogonalFamily.norm_sq_diff_sum, ContinuousLinearEquiv.comp_hasFDerivAt_iff, ContinuousLinearMap.eq_adjoint_iff, LocallyLipschitzOn.neg, Orientation.volumeForm_map, toMatrix_rotation, LinearIsometryEquiv.piLpCongrRight_apply, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, LinearMap.IsSymmetric.directSum_decompose_apply, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, ZeroAtInftyContinuousMap.instNormedStarGroup, Homeomorph.contDiff_unitBall, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, InnerProductSpace.rankOne_apply, Unitary.coe_linearIsometryEquiv_apply, OrthonormalBasis.toBasis_adjustToOrientation, Submodule.reflection_singleton_apply, HasFTaylorSeriesUpToOn.zero_eq', HolderWith.add, AffineIsometryEquiv.pointReflection_midpoint_left, DifferentiableWithinAt.fderivWithin_prodMk, NormedSpace.Dual.toWeakDual_continuous, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, parallelogram_law_with_norm, ContinuousMultilinearMap.norm_smulRightL_le, Affine.Simplex.ExcenterExists.touchpoint_map, LipschitzWith.hasFDerivAt_of_hasLineDerivAt_of_closure, ContinuousLinearMap.precompL_apply, IsSelfAdjoint.adjoint_eq, ContinuousLinearEquiv.isBigO_comp, OrthonormalBasis.measurePreserving_repr, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegral_neg, Matrix.frobenius_normedStarGroup, IsMaxOn.norm_add_self, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, LinearIsometryEquiv.lTensor_apply, InnerProductSpace.gramSchmidt_def, ContinuousLinearMap.isPositive_self_comp_adjoint, Asymptotics.IsLittleO.add_isTheta, closedBall_add_closedBall, convexOn_univ_dist, LinearMap.adjoint_toContinuousLinearMap, fderivWithin_const_sub, LinearIsometryEquiv.coe_neg, Affine.Simplex.orthogonalProjectionSpan_eq_point, Unitary.linearIsometryEquiv_coe_apply, NormedSpace.isBounded_iff_subset_smul_closedBall, hasStrictFDerivAt_pi', IsCompact.closedBall_zero_add, nndist_right_lineMap, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, hasFDerivAtFilter_sub_const_iff, neg_ball, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, FormalMultilinearSeries.radius_compNeg, PiLp.coe_continuousLinearEquiv, IsBoundedBilinearMap.smul_left, SchwartzMap.integral_bilin_fourierIntegral_eq, Affine.Simplex.ExcenterExists.excenter_map, AbsolutelyContinuousOnInterval.fun_neg, LinearIsometryEquiv.adjoint_eq_symm, ContinuousAlternatingMap.toAlternatingMap_curryLeft, Matrix.toEuclideanLin_apply, IsContDiffImplicitAt.hasFDerivAt, ContinuousLinearMap.sSup_sphere_eq_nnnorm, NormedSpace.isClosed_polar, infEDist_neg_neg, VectorFourier.fourierPowSMulRight_eq_comp, ContinuousAlternatingMap.le_opNNNorm, EuclideanGeometry.orthogonalProjection_map, hasFDerivWithinAt_pi', norm_multiset_sum_le, ContinuousLinearMap.opNorm_mul, Submodule.IsOrtho.map_iff, Asymptotics.isBigO_neg_right, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, cauchySeq_finset_of_summable_norm, fderivWithin_star, PiTensorProduct.mapL_one, OpenPartialHomeomorph.univUnitBall_symm_apply_zero, ContinuousLinearMap.norm_fst_le, IsUltrametricDist.norm_tsum_le, hasFDerivAt_snd, Unitization.nnnorm_def, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, Orientation.rightAngleRotation_def, nndist_left_lineMap, ContinuousLinearMap.le_opNorm, ediam_smul_le, fderivWithin_fun_neg, Euclidean.closedBall_eq_image, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, Orthonormal.inner_left_fintype, LinearMap.IsSymmetricProjection.sub_of_range_le_range, isScalarTower_sphere_closedBall_closedBall, OpenPartialHomeomorph.univUnitBall_apply_zero, WithLp.idemSnd_compl, compactOperator_topologicalClosure, Submodule.coe_orthogonalDecomposition_symm, PiTensorProduct.mapL_smul, SchwartzMap.integral_sesq_fourier_eq, NormedAddGroupHom.add_apply, Submodule.orthogonalProjection_bot, Real.fderiv_fourier, MeasureTheory.charFunDual_pi', ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, ContinuousMap.instNormedStarGroup, fderiv_neg, Quaternion.linearIsometryEquivTuple_symm_apply, EuclideanGeometry.angle_orthogonalProjection_self, EuclideanGeometry.orthogonalProjection_apply_mem, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, PiTensorProduct.projectiveSeminorm_apply, extDerivWithin_constOfIsEmpty, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, AffineSubspace.coe_subtypeₐᵢ, LinearMap.IsSymmetric.coe_re_inner_self_apply, Orientation.areaForm_neg_orientation, isBoundedBilinearMap_comp, EuclideanGeometry.dist_orthogonalProjection_eq_iff_angle_eq, set_smul_sphere_zero, NormedAddGroupHom.neg_apply, Module.Basis.mulOpposite_is_orthonormal_iff, EuclideanSpace.instFactEqNatFinrankFin, Summable.of_norm, Finsupp.sum_inner, Asymptotics.IsBigO.const_smul_left, Asymptotics.IsTheta.smul, fderiv_fun_sub, isCompactOperator_iff_isCompact_closure_image_ball, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, LinearIsometryEquiv.toLinearEquiv_symm, LinearIsometry.toAffineIsometry_toAffineMap, re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, InnerProductSpace.toDualMap_apply_apply, ContinuousLinearMap.opNNNorm_prod, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_norm, HasMFDerivAt.neg, NormedAddGroupHom.isCentralScalar, smul_closedBall', LinearMap.IsSymmetricProjection.isIdempotentElem, norm_add_eq_sqrt_iff_real_inner_eq_zero, EuclideanSpace.volume_closedBall_fin_three, ContinuousLinearMap.mulLeftRight_apply, Affine.Simplex.scalene_reindex_iff, cauchySeq_range_of_norm_bounded, LinearIsometryEquiv.fderiv, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, hasFDerivAt_add_const_iff, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, rescale_to_shell_semi_normed_zpow, ContinuousMultilinearMap.unit_le_opNorm, Asymptotics.IsTheta.add_isLittleO, Bundle.ContinuousRiemannianMetric.symm, ContinuousMultilinearMap.curryRight_norm, ContinuousLinearMap.analyticOn_bilinear, LinearIsometryEquiv.coe_toLinearEquiv, AffineIsometryEquiv.pointReflection_toAffineEquiv, FDerivMeasurableAux.norm_sub_le_of_mem_A, hasFDerivAt_sub_const_iff, Submodule.subtypeₗᵢ_toLinearMap, ContDiffWithinAt.continuousWithinAt_iteratedFDerivWithin, coe_innerSL_apply, Matrix.frobenius_nnnorm_one, Orientation.det_rotation, RegularNormedAlgebra.isometry_mul', convexHull_diam, cauchySeq_finset_of_norm_bounded_eventually, ContDiffWithinAt.hasFDerivWithinAt_nhds, Affine.Simplex.excenterWeightsUnnorm_map, inner_re_zero_right, LinearEquiv.toSpanNonzeroSingleton_homothety, hasFDerivAtFilter_iff_isLittleO, Asymptotics.isLittleO_zero, coe_neg_sphere, ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le, Orientation.volumeForm_def, VectorFourier.hasFDerivAt_fourierIntegral, PiLp.sumPiLpEquivProdLpPiLp_symm_apply_ofLp, Module.Basis.coe_toOrthonormalBasis_repr, hasFDerivAt_ringInverse, ContinuousMultilinearMap.opNorm_smul_le, contDiffAt_one_iff, LinearIsometry.isComplete_map_iff, LinearIsometryEquiv.map_add, hasFDerivAt_finCons, HasMFDerivWithinAt.neg, hasFDerivWithinAt_finCons, dist_left_midpoint_eq_dist_right_midpoint, InnerProductSpace.nnnorm_rankOne, ContinuousMultilinearMap.norm_restr, ContinuousMultilinearMap.norm_image_sub_le, ProbabilityTheory.isPosSemidef_covarianceBilin, LinearIsometry.norm_toContinuousLinearMap, Filter.BoundedAtFilter.smul, ContinuousLinearMap.norm_toSpanSingleton, AffineIsometryEquiv.toContinuousAffineEquiv_symm, Matrix.gram_zero, ContinuousAlternatingMap.curryLeft_apply_apply, NormedSpace.isVonNBounded_closedBall, ContinuousLinearMap.flip_smul, LinearIsometryEquiv.coe_ofEq_apply, Submodule.IsCompl.closedComplemented_of_isClosed, IsUltrametricDist.norm_sum_le_of_forall_le_of_nonempty, ContinuousLinearEquiv.isBigO_sub, InnerProductSpace.isSymmetricProjection_rankOne_self, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, Affine.Simplex.equilateral_reindex_iff, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, UniformConvexSpace.uniform_convex, MeasureTheory.ConvolutionExistsAt.integrable_swap, hasGradientWithinAt_iff_hasFDerivWithinAt, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, continuousOn_tangentCoordChange, Submodule.Quotient.completeSpace, LinearIsometryEquiv.smul_apply, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, iteratedFDerivWithin_neg_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, PiLp.volume_preserving_toLp, ZSpan.measureReal_fundamentalDomain, EuclideanGeometry.orthogonalProjection_apply', Affine.Simplex.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, HasFPowerSeriesOnBall.fderiv_eq, RCLike.wInner_neg_right, IsBoundedLinearMap.add, NormedSpace.toNormSMulClass, MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaar, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, NormedSpace.inclusionInDoubleDual_norm_eq, PiTensorProduct.projectiveSeminorm_tprod_le, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', LinearIsometryEquiv.piLpCongrLeft_apply, ContinuousLinearMap.fderiv_of_bilinear, EuclideanGeometry.orthogonalProjection_orthogonalProjection_of_le, unitary.linearIsometryEquiv_coe_symm_apply, PiTensorProduct.tprodL_toFun, ball_add_ball, ContinuousLinearMap.nnnorm_toSpanSingleton, LinearIsometryEquiv.symm_prodComm, ContinuousAlternatingMap.alternatizeUncurryFin_smul, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Matrix.linftyOpIsBoundedSMul, BoundedContinuousFunction.instStarModule, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, ContinuousAlternatingMap.norm_restrictScalars, OrthonormalBasis.coe_ofRepr, ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, Homeomorph.coe_unitBall_apply_zero, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, Submodule.adjoint_subtypeL, hasStrictFDerivAt_exp, inner_re_zero_left, QuotientAddGroup.norm_eq_infDist, Affine.Simplex.exradius_map, ContinuousLinearMap.opNorm_mul_apply, ContinuousLinearMap.norm_smulRightL, Asymptotics.IsBigOWith.const_smul_left, LinearIsometry.equivRange_apply_coe, PiLp.nndist_toLp_single_same, closedBall_add_ball, Submodule.reflection_orthogonalComplement_singleton_eq_neg, ContinuousLinearEquiv.comp_fderiv, convexOn_univ_norm, PiLp.sub_apply, Complex.orthonormalBasisOneI_repr_apply, ContinuousLinearMap.isBigO_id, BoundedContinuousFunction.nnnorm_def, hasStrictFDerivAt_iff_isLittleO, MeasureTheory.convolution_def, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, WithLp.edist_toLp_snd, dist_eq, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, LinearIsometryEquiv.coe_toContinuousLinearEquiv, ContDiffOn.continuousOn_iteratedFDerivWithin, SemiNormedGrp.zero_apply, Matrix.isBoundedSMul, ContinuousMultilinearMap.le_opNorm, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, cauchySeq_finset_iff_vanishing_norm, infEDist_smul₀, AffineIsometry.toContinuousAffineMap_id, isBoundedBilinearMap_compMultilinear, PiLp.nnnorm_toLp_single, Orientation.rotation_map, hasFDerivAt_norm_rpow, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, MeasureTheory.Measure.addHaar_preimage_continuousLinearMap, DoubleCentralizer.neg_snd, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ball_zero_add_singleton, sum_inner, norm_smul_of_nonneg, HasFPowerSeriesWithinAt.fderivWithin_eq, HasFTaylorSeriesUpToOn.cont, dist_lineMap_left, ContinuousAlternatingMap.le_opNorm, FormalMultilinearSeries.id_comp', MulOpposite.isometry_opLinearEquiv, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, Matrix.toEuclideanCLM_toLp, Submodule.IsCompl.projection_isSymmetricProjection_of_isOrtho, realPart.norm_le, BoundedContinuousFunction.innerProbChar_zero, ProbabilityTheory.covarianceBilin_zero, Ioo_smul_sphere_zero, contDiffOn_stereoToFun, Real.hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, Unitary.coe_symm_linearIsometryEquiv_apply, fderiv_inverse, Affine.Simplex.altitudeFoot_map, smul_sphere', hasStrictFDerivAt_exp_smul_const', ZSpan.measure_fundamentalDomain, dist_midpoint_midpoint_le, contDiffOn_nat_iff_continuousOn_differentiableOn, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, PiLp.hasFDerivAt_toLp, PiTensorProduct.mapL_coe, locallyLipschitzOn_neg_iff, InnerProductSpace.rankOne_eq_zero, ContinuousLinearMap.lipschitz, Real.fourierIntegral_convergent_iff', RCLike.mul_wInner_left, LinearIsometry.lTensor_apply, LinearIsometry.norm_compContinuousMultilinearMap, ContinuousAlternatingMap.norm_curryLeft, AffineIsometry.linear_eq_linearIsometry, inner_map_polarization', Bundle.ContMDiffRiemannianMetric.symm, ContMDiffOn.coordChangeL, InnerProductSpace.inner_right_rankOne_apply, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, LinearIsometry.id_toLinearMap, IsSelfAdjoint.hasEigenvector_of_isMaxOn, Asymptotics.isBigOTVS_iff_isBigO, ContinuousMultilinearMap.isLeast_opNorm, Asymptotics.IsLittleO.smul, ContDiff.continuous_fderiv, mdifferentiableAt_hom_bundle, Asymptotics.IsBigOWith.add_isLittleO, innerSL_inj, AffineIsometryEquiv.coe_ofEq_apply, fderivWithin_inv', AffineIsometryEquiv.vaddConst_toAffineEquiv, ball_add_zero, Asymptotics.IsBigO.neg_left, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, AffineSubspace.isometryEquivMap.toAffineMap_eq, AffineSubspace.signedInfDist_eq_signedDist_of_mem, neg_thickening, LinearMap.IsSymmetric.coe_toSelfAdjoint, EuclideanSpace.volume_closedBall_fin_two, OrthonormalBasis.toBasis_map, ContDiffMapSupportedIn.uniformSpace_eq_iInf, Matrix.piLp_ofLp_toEuclideanLin, LinearMap.IsSymmetric.diagonalization_symm_apply, PiTensorProduct.liftIsometry_tprodL, NormedSpace.inclusionInDoubleDual_norm_le, mfderiv_sub, WeakDual.isCompact_closedBall, Affine.Simplex.signedInfDist_apply_self, PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm, VectorFourier.iteratedFDeriv_fourierIntegral, Asymptotics.IsLittleO.add_isBigO, continuousSMul_closedBall_ball, PiTensorProduct.bddBelow_projectiveSemiNormAux, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', ContDiffMapSupportedIn.continuous_iff_comp_withOrder, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, AffineIsometry.image_intrinsicInterior, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, nnnorm_multiset_sum_le, dist_right_midpoint, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', isScalarTower_sphere_sphere_sphere, MeasureTheory.hasFDerivAt_convolution_right_with_param, ProbabilityTheory.IsGaussian.charFun_eq', ProbabilityTheory.covarianceBilinDual_eq_covariance, ContMDiffAt.mfderiv_const, Asymptotics.IsLittleO.isLittleOTVS, LinearIsometryEquiv.reflections_generate, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, ContinuousLinearMap.ratio_le_opNorm, Submodule.map_orthogonal_equiv, iteratedFDerivWithin_eq_equiv_comp, dist_center_homothety, hasFDerivAt_prodMk_left, AffineIsometryEquiv.toContinuousAffineEquiv_refl, HasCompactSupport.hasFDerivAt_convolution_right, NormedAddGroupHom.mem_ker, ContDiffMapSupportedIn.structureMapCLM_zero_apply, VonNeumannAlgebra.centralizer_centralizer', SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, IsBoundedLinearMap.lim_zero_bounded_linear_map, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, ProbabilityTheory.covarianceBilinDual_zero, Finsupp.inner_sum, Asymptotics.isLittleO_neg_right, Continuous.fderiv, NormedSpace.polar_ball_subset_closedBall_div, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, InnerProductSpace.toDualMap_apply, LinearMap.IsSymmetric.iSup_iInf_eq_top_of_commute, hasFDerivWithinAt_finCons', ContinuousLinearMap.adjoint_inner_left, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, LinearIsometryEquiv.coe_prodAssoc_symm, ContinuousLinearMap.isBoundedBilinearMap, ContinuousMultilinearMap.opNorm_nonneg, ball_normSeminorm, LinearMap.extendTo𝕜_apply, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, Affine.Simplex.orthogonalProjectionSpan_congr, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, innerₗ_apply, FormalMultilinearSeries.le_radius_compContinuousLinearMap, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, inv_norm_smul_mem_unitClosedBall, Affine.Simplex.mongePlane_def, WithLp.prod_norm_eq_idemFst_sup_idemSnd, IsUltrametricDist.norm_tsum_le_of_forall_le, MDifferentiableOn.coordChangeL, inner_neg_right, ContinuousAlternatingMap.ofSubsingletonLIE_apply, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, FormalMultilinearSeries.compAlongComposition_bound, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, ContinuousLinearMap.lipschitz_apply, inner_eq_sum_norm_sq_div_four, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, FormalMultilinearSeries.radius_smul_eq, Bundle.ContMDiffRiemannianMetric.pos, AffineIsometryEquiv.ofEq_symm, ContinuousMap.linearIsometryBoundedOfCompact_symm_apply, HasDerivWithinAt.complexToReal_fderiv, ContinuousLinearMap.bilinearComp_zero_right, IsContMDiffRiemannianBundle.exists_contMDiff, Affine.Simplex.excenterExists_map, IsUltrametricDist.exists_norm_multiset_sum_le, controlled_sum_of_mem_closure_range, InnerProductSpace.rank_rankOne, Summable.of_nnnorm, LinearMap.isSymmetric_sum, Module.Basis.coe_toOrthonormalBasis_repr_symm, ball_add_closedBall, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, gauge_closure_zero, contMDiffAt_coordChangeL, InnerProductSpace.toDual_apply_apply, Affine.Simplex.vectorSpan_isOrtho_altitude_direction, iteratedFDeriv_tsum, ContinuousLinearMap.adjointAux_apply, fderivWithin_fun_sub, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, gauge_ball, Submodule.linearEquiv_det_reflection, LinearMap.isSymmetric_linearIsometryEquiv_conj_iff, NormedAddGroupHom.zero_apply, ProperCone.innerDual_singleton, AbsolutelyContinuousOnInterval.neg, Asymptotics.IsLittleO.smul_isBigO, HasFPowerSeriesWithinOnBall.sub, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, infEDist_neg, ContinuousAlternatingMap.norm_ofSubsingleton, Submodule.toLinearMap_starProjection_eq_isComplProjection, Asymptotics.isLittleO_const_smul_left, hasStrictFDerivAt_finCons, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, TensorProduct.nnnorm_map, ContinuousLinearMap.coe_flipₗᵢ', PiTensorProduct.norm_eval_le_injectiveSeminorm, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, fderivWithin_fderivWithin_eq_of_mem_nhds, orthogonalBilin_innerₗ, ContinuousLinearMap.norm_smulRight_apply, ContinuousMap.linearIsometryBoundedOfCompact_of_compact_toEquiv, contDiff_iff_continuous_differentiable, AffineIsometry.coe_toAffineMap, ball_sub_zero, OrthonormalBasis.repr_apply_apply, hasFDerivWithinAt_const_add_iff, UniformSpace.Completion.norm_toComplL, ProbabilityTheory.covarianceBilin_comm, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, ContinuousMap.toLp_def, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, SchwartzMap.integral_bilin_fourier_eq, ClosedSubmodule.orthogonal_eq_inter, summable_iff_vanishing_norm, ContinuousMultilinearMap.prodL_apply, hasFDerivWithinAt_iff_hasDerivWithinAt, convex_eball, nndist_left_midpoint, hasFTaylorSeriesUpToOn_succ_iff_right, fderiv_comp_fderivWithin, ContinuousLinearMap.coe_flipMultilinearEquiv, NonUnitalAlgHom.coe_Lmul, ContinuousMultilinearMap.norm_map_init_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, ContinuousAlternatingMap.hasStrictFDerivAt, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.smulRightCLM_apply_apply, MeasureTheory.setToFun_smul_left, HasDerivAt.complexToReal_fderiv', MeasureTheory.finStronglyMeasurable_of_measurable, hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, WithLp.prod_norm_eq_add_idemFst, eventually_singleton_add_smul_subset, LinearMap.IsSymmetric.toSelfAdjoint_apply, Submodule.coe_continuous_linearProjOfClosedCompl, ContDiffWithinAt.continuousWithinAt_fderivWithin, EuclideanGeometry.orthogonalProjection_subtype, add_ball_zero, iteratedFDeriv_neg_apply, Submodule.coe_orthogonalDecomposition, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, fderivWithin_fderivWithin_eq_of_eventuallyEq, PiTensorProduct.liftEquiv_symm_apply, LinearIsometryEquiv.piLpCurry_apply, RCLike.wInner_zero_right, quotient_norm_add_le, LinearMap.isPositive_natCast, inner_smul_real_right, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, TensorProduct.toLinearEquiv_congrIsometry, ContinuousMultilinearMap.opNorm_zero, hasFDerivAt_exp_smul_const', Asymptotics.IsBigO.sum, IsBoundedLinearMap.smul, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, instPolynormableSpace, hasFDerivAt_finCons', ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, IsUltrametricDist.norm_fwdDiff_iter_apply_le, contDiffPointwiseHolderAt_iff, AffineSubspace.isPreconnected_setOf_wOppSide, ContinuousLinearMap.aestronglyMeasurable_comp₂, continuousSMul_sphere_closedBall, hasStrictFDerivAt_piLp, LinearMap.toMatrix_innerₛₗ_apply, vadd_ball_zero, AffineSubspace.toContinuousAffineMap_subtypeₐᵢ, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, neg_cthickening, Asymptotics.isLittleO_const_smul_right, Orientation.rightAngleRotation_map', LinearEquiv.extendOfIsometry_symm_apply, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, inner_zero_left, Asymptotics.isBigOWith_zero, LinearIsometryEquiv.toLinearEquiv_injective, closedBall_zero_sub_singleton, ContinuousLinearMap.norm_precompR_le, EuclideanGeometry.orthogonalProjection_vadd_eq_self, dist_lineMap_right, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, norm_sum_le_of_le, ContinuousLinearMap.isBoundedLinearMap_comp_right, NormedAddGroupHom.map_add', ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, MeasureTheory.Measure.addHaar_parallelepiped, NormedSpace.isVonNBounded_iff', VonNeumannAlgebra.mem_carrier, WeakDual.isSeqCompact_closedBall, PiTensorProduct.liftEquiv_apply, inner_neg_neg, OpenPartialHomeomorph.univUnitBall_target, hasFTaylorSeriesUpTo_top_iff', fderivWithin_iteratedFDerivWithin, LinearIsometry.toSpanSingleton_apply, hasFDerivAt_iff_tendsto, WeakDual.exists_countable_separating, LinearIsometryEquiv.piLpCongrRight_single, ContinuousLinearMap.deriv_of_bilinear, WithLp.idemFst_compl, Orientation.areaForm'_apply, hasFDerivAtFilter_iff_hasDerivAtFilter, innerSLFlip_apply_apply, ContinuousLinearMap.nnnorm_holder_apply_apply_le, Polynomial.hasFDerivAt, Asymptotics.isTheta_const_smul_left, finrank_euclideanSpace, EuclideanGeometry.oangle_orthogonalProjection_self, infEdist_smul₀, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, Submodule.fst_orthogonalDecomposition_apply, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, inner_add_left, ContinuousLinearEquiv.nhds, ContinuousAlternatingMap.le_opNorm_mul_pow_of_le, Submodule.smul_starProjection_singleton, ContinuousLinearMap.opNorm_comp_le, nndist_midpoint_left, intervalIntegral.integral_hasStrictFDerivAt, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, contMDiffOn_continuousLinearMapCoordChange, ContinuousMultilinearMap.curryFinFinset_apply_const, InnerProductSpace.enorm_rankOne, Orthonormal.inner_finsupp_eq_sum_right, InnerProductSpace.continuousLinearMapOfBilin_zero, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, PiTensorProduct.mapL_mul, ContinuousLinearMap.toLinearMap_innerSL_apply, EuclideanGeometry.dist_orthogonalProjection_eq_dist_iff_eq_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, OpenPartialHomeomorph.univBall_apply_zero, BoundedContinuousFunction.probCharDual_zero, ContinuousMultilinearMap.flipLinear_apply_apply, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, HasGradientAt.hasFDerivAt, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, PiLp.volume_preserving_ofLp, rescale_to_shell_semi_normed, FormalMultilinearSeries.comp_id, ContinuousMultilinearMap.hasStrictFDerivAt, ContinuousLinearMap.isLeast_opNNNorm, ContinuousMap.nnnorm_smul_const, SeparationQuotient.mk_eq_zero_iff, imaginaryPart.norm_le, hasFTaylorSeriesUpTo_succ_nat_iff_right, LinearIsometryEquiv.coe_symm_toLinearEquiv, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, hasFDerivWithinAt_piLp, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, ContinuousLinearMap.uncurryBilinear_apply, VectorBundle.continuousOn_coordChange', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, MeasureTheory.integral_posConvolution, nndist_midpoint_midpoint_le', hasFDerivAt_const_add_iff, lipschitzOnWith_neg_iff, ContinuousAlternatingMap.isLeast_opNorm, VectorFourier.integral_fourierIntegral_swap, Bundle.RiemannianMetric.symm, dist_homothety_self, IsBoundedLinearMap.zero, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, NormedSpace.isVonNBounded_of_isBounded, real_inner_add_sub_eq_zero_iff, iteratedFDeriv_eq_equiv_comp, Affine.Simplex.height_map, instContinuousNegElemSphereOfNat, IsBoundedLinearMap.snd, Unitization.norm_eq_sup, IsBoundedBilinearMap.hasFDerivWithinAt, Affine.Simplex.orthogonalProjection_circumcenter, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, PiTensorProduct.mapL_comp, Asymptotics.IsLittleO.neg_left, isCompactOperator_iff_image_closedBall_subset_compact, HasFPowerSeriesWithinAt.sub, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', LinearIsometryEquiv.completeSpace_map, Unitary.linearIsometryEquiv_coe_symm_apply, WithLp.norm_toLp_fst, exists_dual_vector, nndist_center_homothety, hasFDerivWithinAt_comp_smul_smul_iff, MeasureTheory.finStronglyMeasurable_iff_measurable, LinearMap.IsSymmetric.hasEigenvalue_eigenvalues, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, OrthonormalBasis.det_to_matrix_orthonormalBasis, smul_unitBall_of_pos, Matrix.instNormOneClassOfNonempty, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, LinearMap.isPositive_toContinuousLinearMap_iff, ContinuousLinearMap.norm_def, LinearIsometryEquiv.toSpanUnitSingleton_apply, Asymptotics.IsBigOWith.smul, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', ContinuousLinearMap.le_opNorm_of_le, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter, ContinuousMultilinearMap.opNorm_pi, DilationEquiv.smulTorsor_apply, ContinuousLinearEquiv.lipschitz, WithLp.dist_toLp_snd, LinearIsometryEquiv.toContinuousLinearEquiv_symm, iteratedFDerivWithin_two_apply', curveIntegral_fun_neg, InnerProductSpace.instIsContPerfPairRealInnerₗOfCompleteSpace, NormedSpace.equicontinuous_TFAE, Submodule.starProjection_map_apply, Bornology.IsBounded.smul₀, dist_self_homothety, contDiffWithinAt_succ_iff_hasFDerivWithinAt', contDiffOn_succ_iff_hasFDerivWithinAt, ContinuousLinearMap.continuousWithinAt_uncurry_of_multilinear, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', Affine.Simplex.orthogonalProjection_eq_circumcenter_of_exists_dist_eq, LinearIsometryEquiv.coe_coe, ContinuousLinearMap.opNorm_add_le, ContinuousLinearMap.sSup_sphere_eq_norm, DoubleCentralizer.neg_toProd, HasFPowerSeriesAt.fderiv_eq, Matrix.isPositive_toEuclideanLin_iff, ContinuousLinearMap.coe_restrictScalarsIsometry, ContinuousLinearMap.memLp_of_bilin, Submodule.starProjection_bot, ConvexBody.isBounded, continuousMultilinearCurryFin0_apply, PiTensorProduct.dualSeminorms_bounded, FormalMultilinearSeries.radius_neg, ProbabilityTheory.covarianceBilin_self_nonneg, QuotientAddGroup.nhds_zero_hasBasis, ContinuousLinearMap.opNorm_extend_le, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, IsSelfAdjoint.conj_adjoint, ContinuousMultilinearMap.curryMidEquiv_apply, conformalAt_iff_isConformalMap_fderiv, WithLp.nndist_toLp_snd, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, ContinuousLinearMap.reApplyInnerSelf_apply, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', Affine.Simplex.direction_mongePlane, DoubleCentralizer.algebraMap_snd, BoundedContinuousFunction.neg_apply, ContinuousOn.continuousOn_iteratedFDerivWithin, MulOpposite.toLinearEquiv_opLinearIsometryEquiv, ProbabilityTheory.covarianceBilinDual_self_eq_variance, LinearMap.le_def, iteratedFDerivWithin_succ_apply_left, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, fderiv_tsum, SchwartzMap.fourier_evalCLM_eq, LinearMap.adjoint_toSpanSingleton, AffineIsometryEquiv.constVAdd_zero, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, fderivWithin_comp_of_eq, hasFDerivWithinAt_tangentCoordChange, LinearIsometryEquiv.withLpProdCongr_symm_apply, ContinuousMultilinearMap.opNorm_add_le, ContinuousLinearMap.bilinearComp_apply, ContinuousMultilinearMap.instContinuousEval, Submodule.reflection_sub, LinearEquiv.extendOfIsometry_apply, SchwartzMap.evalCLM_apply_apply, LinearMap.IsSymmetric.natCast, isBounded_convexHull, tendsto_integral_exp_smul_cocompact_of_inner_product, HasFTaylorSeriesUpToOn.fderivWithin, IsUltrametricDist.norm_sum_eq_sup'_of_pairwise_ne, IsBoundedBilinearMap.add_right, ContinuousLinearEquiv.hasFDerivWithinAt, ContinuousMultilinearMap.isLeast_opNNNorm, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, LinearIsometry.map_neg, FormalMultilinearSeries.id_comp, Trivialization.baseSet_continuousLinearMap, ContinuousLinearMap.norm_map_tail_le, Asymptotics.IsBigO.add_iff_right, contMDiffOn_symm_coordChangeL, nndist_lineMap_right, edist_smul₀, Polynomial.hasFDerivAt_aeval, contMDiffAt_hom_bundle, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, NormedSpace.polar_closure, Matrix.linearIndependent_of_posDef_gram, exists_dual_vector'', IsBoundedBilinearMap.add_left, PiTensorProduct.injectiveSeminorm_apply, Homeomorph.unitBall_apply_coe, ContinuousLinearMap.isBoundedLinearMap_comp_left, LinearIsometryEquiv.toLinearEquiv_smul, norm_fderiv_iteratedFDeriv, isConnected_setOf_sameRay_and_ne_zero, curveIntegralFun_neg, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, ProbabilityTheory.covarianceBilinDual_self_nonneg, hasFDerivAtFilter_snd, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, BoundedContinuousFunction.mkOfCompact_neg, Matrix.l2_opNNNorm_def, ContinuousMultilinearMap.instIsBoundedSMul, ContinuousLinearMap.adjointAux_adjointAux, IsUltrametricDist.nnnorm_sum_le_of_forall_le, Submodule.coe_inner, fderiv_sub, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, NormedAddGroupHom.coe_neg, hasFDerivAt_single, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, inner_zero_right, ProbabilityTheory.covarianceBilin_real_self, PositiveLinearMap.gnsStarAlgHom_apply, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, EuclideanGeometry.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, convex_closedEBall, Orthonormal.inner_right_finsupp, Asymptotics.IsBigO.add, LinearEquiv.extend_symm_apply, AffineIsometry.norm_map, Asymptotics.isLittleOTVS_iff_isLittleO, SemiNormedGrp.explicitCokernelπ_apply_dom_eq_zero, EuclideanSpace.basisFun_repr, ImplicitFunctionData.hasStrictFDerivAt, HasFTaylorSeriesUpToOn.hasFDerivAt, LinearIsometry.norm_toContinuousLinearMap_comp, convex_ball, hasStrictFDerivAt_inv, real_inner_smul_right, ContinuousLinearMap.isBigOWith_comp, SemilinearIsometryClass.toSemilinearMapClass, ContinuousLinearMap.flip_add, continuous_clm_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_det, AffineSubspace.isometryEquivMap.coe_apply, infDist_smul₀, LinearIsometry.coe_toSpanSingleton, VectorFourier.fourierSMulRight_apply, ContinuousLinearEquiv.isBigO_sub_rev, ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, LinearIsometry.map_smulₛₗ, LinearIsometry.toLinearMap_injective, MeasureTheory.Measure.addHaar_image_linearMap, InnerProductSpace.gramSchmidt_def', ContinuousMultilinearMap.uncurryRight_apply, OrthonormalBasis.det_adjustToOrientation, summable_of_ratio_norm_eventually_le, Asymptotics.isLittleO_norm_pow_norm_pow, WithLp.nnnorm_toLp_inl, Complex.orthonormalBasisOneI_repr_symm_apply, tangentBundleCore_coordChange, ContinuousLinearMap.bilinearComp_zero, isScalarTower_sphere_sphere_closedBall, ZSpan.map, LinearIsometryEquiv.piLpCongrRight_refl, iteratedDeriv_eq_equiv_comp, Asymptotics.IsBigO.add_iff_left, Submodule.coe_subtypeₗᵢ, LinearMap.IsSymmetric.directSum_isInternal_of_commute, segment_subset_closedBall_left, fderivWithin_comp', Trivialization.continuousLinearMap_apply, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, ContinuousMultilinearMap.ratio_le_opNorm, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, IsCompact.sub_closedBall_zero, HasFiniteFPowerSeriesOnBall.neg, inner_add_add_self, IsUltrametricDist.nnnorm_tsum_le_of_forall_le, ContinuousLinearMap.le_def, WeakDual.isClosed_closedBall, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, coe_lpPiLpₗᵢ, LinearIsometry.inr_apply, LinearIsometryEquiv.coe_coe'', ContinuousLinearMap.measurable_comp, Real.fourier_bilin_convolution_eq, ProbabilityTheory.IsGaussian.map_rotation_eq_self, LinearMap.toSpanSingleton_homothety, inner_add_right, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv, hom_trivializationAt, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ContinuousLinearMap.le_opNorm₂, quotient_norm_mk_eq, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, ContinuousLinearMap.norm_uncurryMid, InnerProductSpace.rankOne_def', ContinuousLinearMap.opNorm_mul_le, ContinuousLinearMap.uncurryLeft_norm, hasFDerivAtFilter_fst, IsBoundedLinearMap.neg, ContinuousLinearMap.opNorm_subsingleton, MeasureTheory.AEStronglyMeasurable.fourierPowSMulRight, Pretrivialization.continuousLinearMap.isLinear, HasFPowerSeriesWithinOnBall.const_smul, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, isScalarTower_sphere_sphere_ball, ContDiffOn.continuousOn_fderivWithin, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, LinearIsometryEquiv.coe_withLpProdUnique, MeasureTheory.Integrable.convolution_integrand, SeparatingDual.completeSpace_continuousLinearMap_iff, OrthogonalFamily.inner_sum, NormedSpace.vonNBornology_eq, ProbabilityTheory.covarianceBilin_apply_pi, ZeroAtInftyContinuousMap.norm_toBCF_eq_norm, SchwartzMap.integral_bilinear_laplacian_right_eq_left, instContinuousNegElemClosedBallOfNat, IsBoundedLinearMap.hasFDerivAtFilter, ZLattice.covolume_eq_det_mul_measureReal, FormalMultilinearSeries.compAlongComposition_norm, ContinuousLinearMap.isometry_mul, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', ContinuousLinearMap.isOpen_injective, NonUnitalCommCStarAlgebra.toStarModule, ContDiff.continuous_iteratedFDeriv', OrthonormalBasis.sum_repr_symm, dist_neg, IsUltrametricDist.nnnorm_sum_eq_sup_of_pairwise_ne, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, Asymptotics.isBigOWith_zero', Orthonormal.inner_left_sum, DoubleCentralizer.sub_toProd, ContinuousLinearMap.continuous_uncurry_of_multilinear, HasStrictDerivAt.complexToReal_fderiv', LinearIsometry.map_starProjection, Orientation.inner_mul_areaForm_sub', egauge_ball_one_le_of_one_lt_norm, HasFTaylorSeriesUpToOn.add, Matrix.linftyOpNormSMulClass, WithLp.normSMulClassSeminormedAddCommGroupToProd, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, Asymptotics.IsBigO.hasFDerivWithinAt, dist_homothety_center, NormedAddGroupHom.coe_sum, PiLp.smul_apply, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, AbsolutelyContinuousOnInterval.fun_add, LinearIsometryEquiv.strictConvex_image, Unitization.norm_def, Submodule.reflection_map, LinearMap.IsSymmetric.direct_sum_isInternal, Submodule.det_reflection, fderivWithin_neg, ContinuousMultilinearMap.norm_ofSubsingleton_id_le, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, IsUltrametricDist.norm_tsum_le_of_forall_le_of_nonneg, ContMDiffWithinAt.mfderivWithin, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, ContinuousLinearMap.extendTo𝕜_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, EuclideanSpace.volume_ball_fin_three, PiLp.projₗ_apply, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', CurveIntegrable.fun_neg, AffineSubspace.subtypeₐᵢ_linear, fderivWithin_comp₃, isScalarTower_sphere_closedBall_ball, MeasureTheory.Measure.addHaar_image_continuousLinearEquiv, VectorPrebundle.exists_coordChange, ContinuousLinearMap.norm_extendTo𝕜', IsUltrametricDist.exists_norm_finset_sum_le, ContinuousAlternatingMap.curryLeft_zero, ProbabilityTheory.covarianceBilin_apply_basisFun, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ContinuousAlternatingMap.restrictScalarsLI_apply, ContinuousMultilinearMap.opNNNorm_prod, UniformSpace.Completion.coe_toComplₗᵢ, ContinuousLinearMap.opENorm_comp_le, hasGradientAt_iff_hasFDerivAt, Asymptotics.IsTheta.isThetaTVS, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, SemilinearIsometryClass.toContinuousSemilinearMapClass, gauge_unit_ball, Filter.Tendsto.zero_smul_isBoundedUnder_le, fderivWithin_comp_of_eq', hasFDerivAt_exp_smul_const_of_mem_ball, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, ContinuousAlternatingMap.norm_image_sub_le', Matrix.frobenius_nnnorm_diagonal, VectorFourier.contDiff_fourierIntegral, singleton_add_closedBall_zero, FormalMultilinearSeries.leftInv_coeff_one, LinearMap.IsSymmetric.smul, mdifferentiableOn_continuousLinearMapCoordChange, Orthonormal.inner_finsupp_eq_sum_left, MulOpposite.opLinearIsometryEquiv_symm_apply, LinearIsometryEquiv.hasFDerivAt, PiLp.dist_toLp_single_same, LinearIsometryEquiv.rTensor_apply, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, InnerProductSpace.isStarProjection_rankOne_self, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, ContinuousAlternatingMap.le_opNorm_mul_pow_card_of_le, HasFPowerSeriesAt.hasFDerivAt, OrthonormalBasis.measurePreserving_repr_symm, LipschitzWith.neg, hasStrictFDerivAt_finCons', fderiv_comp, EuclideanSpace.piLpCongrLeft_single, hasFDerivAt_exp_smul_const, Asymptotics.IsBigOWith.add, Orientation.rotation_eq_matrix_toLin, MeasureTheory.AEStronglyMeasurable.fourierSMulRight, FormalMultilinearSeries.zero_radius, smul_unitBall, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, BoundedContinuousFunction.norm_def, LinearIsometryEquiv.piLpCurry_symm_apply, hasFDerivWithinAt_euclidean, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, DoubleCentralizer.sub_fst, Module.Basis.parallelepiped_eq_map, ContinuousLinearMap.le_opNNNorm, Submodule.starProjection_orthogonal, PiTensorProduct.mapLMultilinear_apply_apply, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, isBoundedBilinearMap_apply, Submodule.ClosedComplemented.of_finiteDimensional, ContinuousAffineMap.hasFDerivAtFilter, hasStrictFDerivAt_ringInverse, ContDiffOn.continuousOn_fderiv_of_isOpen, isBoundedLinearMap_iff, ContinuousLinearMap.mul_apply', InnerProductSpace.rankOne_comp_rankOne, ContinuousLinearMap.opNorm_zero, EuclideanGeometry.dist_eq_iff_dist_orthogonalProjection_eq, singleton_sub_ball_zero, TrivSqZeroExt.norm_inl, parallelogram_law, LinearIsometry.toLinearMap_rTensor, PiLp.hasStrictFDerivAt_apply, hasStrictFDerivAt_fst, Matrix.toEuclideanLin_eq_toLin, isConformalMap_complex_linear_conj, PiTensorProduct.mapL_apply, LinearIsometryEquiv.submoduleMap_symm_apply_coe, Affine.Simplex.regular_reindex_iff, Euclidean.closedBall_eq_preimage, Matrix.isHermitian_iff_isSymmetric, TrivSqZeroExt.instL1IsBoundedSMul, PiLp.add_apply, ContinuousAffineMap.hasFDerivAt, BoundedContinuousFunction.instIsBoundedSMul_1, dist_partial_sum_le_of_le_geometric, ContinuousMultilinearMap.norm_iteratedFDeriv_le', AffineSubspace.isPreconnected_setOf_wSameSide, fderiv_fun_neg, hasFDerivAt_comp_sub, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, Asymptotics.isLittleO_zero_right_iff, Asymptotics.IsTheta.const_smul_left, LinearMap.IsSymmetric.iSup_iSup_eigenspace_inf_eigenspace_eq_top_of_commute, isCompactOperator_iff_isCompact_closure_image_closedBall, inner_smul_right, HasMFDerivAt.sub, InnerProductSpace.toMatrix_rankOne, controlled_sum_of_mem_closure, ContinuousMultilinearMap.le_opNorm_mul_pow_card_of_le, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, hasFDerivAtFilter_finCons, PiTensorProduct.liftIsometry_comp_mapL, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, ContinuousLinearMap.opNorm_le_iff, EuclideanGeometry.orthogonalProjection_mem, InnerProductSpace.isSymmetric_rankOne_self, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, IsBoundedBilinearMap.hasStrictFDerivAt, FDerivMeasurableAux.mem_A_of_differentiable, LinearMap.isSymmetricProjection_iff, innerₗ_apply_apply, Affine.Simplex.orthogonalProjectionSpan_restrict, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, isClosed_nullSubmodule, SchwartzMap.tsupport_fderivCLM_subset, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, inner_sum_smul_sum_smul_of_sum_eq_zero, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, LinearEquiv.isSymmetric_symm_iff, bilinFormOfRealInner_orthogonal, WStarAlgebra.exists_predual, nndist_midpoint_midpoint_le, PiTensorProduct.liftIsometry_symm_apply, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, EuclideanSpace.volume_preserving_symm_measurableEquiv_toLp, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, OrthonormalBasis.orthonormal_adjustToOrientation, HasFPowerSeriesAt.const_smul, Asymptotics.IsLittleO.add, iteratedFDeriv_succ_eq_comp_right, ContinuousMultilinearMap.changeOriginSeries_support, ContinuousLinearEquiv.comp_hasFDerivAt_iff', curveIntegralFun_sub, ContDiffMapSupportedIn.seminorm_apply, convexHull_ediam, ContinuousMultilinearMap.hasFDerivAt, ContinuousLinearMap.rotation_apply, Real.iteratedFDeriv_fourier, DoubleCentralizer.algebraMap_fst, nnnorm_tsum_le, fderiv_continuousLinearEquiv_comp, norm_add_sq_real, ContinuousLinearMap.adjoint_toSpanSingleton, hasStrictFDerivAt_exp_zero_of_radius_pos, ContinuousLinearMap.toBilinForm_injective, IsCompact.sub_closedBall, ContinuousMultilinearMap.nnnorm_ofSubsingleton, inner_smul_real_left, ContinuousLinearMap.continuousOn_uncurry_of_multilinear, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, ContDiff.continuous_iteratedFDeriv, ProbabilityTheory.isPosSemidef_covarianceBilinDual, ContinuousAlternatingMap.isLeast_opNNNorm, norm_tsum_le_tsum_norm, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, starₗᵢ_toContinuousLinearEquiv, LinearIsometry.enorm_toContinuousLinearMap, Filter.BoundedAtFilter.neg, coe_lpPiLpₗᵢ_symm, IsBoundedBilinearMap.toContinuousLinearMap_apply, BoundedContinuousFunction.coe_zsmulRec, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, WithLp.idemSnd_apply, HasFPowerSeriesWithinOnBall.fderivWithin_eq, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, Asymptotics.isBigOWith_neg_left, ContinuousLinearMap.norm_id_le, Matrix.ofLp_toEuclideanLin_apply, Real.hasFDerivAt_fourierIntegral, linearEquiv_det_rotation, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, EuclideanGeometry.exists_dist_eq_iff_exists_dist_orthogonalProjection_eq, EuclideanSpace.volume_ball_fin_two, mem_nullSubmodule_iff, norm_add_sq, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, innerSLFlip_apply, LinearIsometryEquiv.prodComm_symm_apply, ContinuousLinearEquiv.hasStrictFDerivAt, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, InnerProductSpace.toContinuousLinearMap_toDualMap, ProbabilityTheory.covarianceBilin_real, Euclidean.ball_eq_preimage, ContinuousLinearMap.nndist_le_opNNNorm, contDiff_nat_iff_continuous_differentiable, absorbent_ball, norm_add_mul_self, mdifferentiableOn_coordChangeL, Asymptotics.isLittleO_neg_left, LinearIsometryEquiv.coe_symm_toContinuousLinearEquiv, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, ContinuousLinearMap.opNorm_lsmul_le, EuclideanSpace.volume_ball, LinearMap.IsSymmetric.zero, hasFDerivWithinAt_comp_add_right, OrthonormalBasis.repr_symm_single, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, ProbabilityTheory.covarianceBilin_of_not_memLp, WithLp.instProdNormSMulClass, LinearIsometryEquiv.withLpProdCongr_apply, Submodule.reflection_bot, ContinuousMultilinearMap.opNNNorm_pi, innerSL_apply_norm, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, AffineIsometryEquiv.toAffineEquiv_injective, closedBall_normSeminorm, IsUltrametricDist.exists_norm_finset_sum_le_of_nonempty, OpenPartialHomeomorph.unitBallBall_source, Matrix.star_dotProduct_gram_mulVec, OpenPartialHomeomorph.univUnitBall_apply, hasStrictFDerivAt_exp_zero, ContinuousLinearMap.norm_compL_le, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, Orientation.oangle_map, ContMDiffVectorBundle.contMDiffOn_coordChangeL, MeasureTheory.Measure.addHaar_preimage_linearMap, NormedAddGroupHom.IsQuotient.norm, LinearIsometryEquiv.toContinuousLinearMap_toLinearIsometry, Matrix.normSMulClass, Affine.Simplex.Equilateral.dist_eq, HasFPowerSeriesAt.sub, OrthogonalFamily.range_linearIsometry, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, ProbabilityTheory.iIndepFun_iff_charFunDual_pi', Submodule.reflection_map_apply, ProbabilityTheory.covarianceBilinDual_comm, SemiNormedGrp₁.zero_apply, Asymptotics.IsBigOWith.neg_left, ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv, IsCompact.closedBall_zero_sub, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, ContinuousLinearMap.norm_fst, ContinuousAlternatingMap.nnnorm_toContinuousMultilinearMap, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, AffineIsometry.toContinuousAffineMap_injective, ContinuousLinearMap.opNNNorm_comp_le, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_nnnorm, ContinuousMultilinearMap.curryMid_apply, LinearIsometryEquiv.withLpProdUnique_symm_apply, MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv, PiTensorProduct.mapL_opNorm, flip_innerₗ, EuclideanGeometry.orthogonalProjection_orthogonalProjection, toMatrix_innerSL_apply, intervalIntegral.fderivWithin_integral_of_tendsto_ae, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, TrivSqZeroExt.nnnorm_inl, Orientation.volumeForm_robust', EuclideanGeometry.orthogonalProjection_vsub_mem_direction, NormedAddGroupHom.coe_ker, Asymptotics.IsLittleO.add_add, balanced_closedBall_zero, PiLp.basis_toMatrix_basisFun_mul, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MDifferentiableAt.coordChangeL, isBoundedBilinearMap_smul, dist_left_lineMap, NormedSpace.toLocallyConvexSpace, Affine.Simplex.excenterWeights_map, hasFDerivAt_sub_const, ContinuousLinearMap.norm_restrictScalars, coe_normSeminorm, IsUltrametricDist.norm_sum_le_of_forall_le_of_nonneg, Pretrivialization.continuousLinearMap_apply, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, hasFDerivWithinAt_fst, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_dist_eq, ContinuousLinearMap.opNorm_mul_apply_le, PiTensorProduct.tprodL_apply, intervalIntegral.integral_hasFDerivWithinAt, RCLike.wInner_zero_left, ContinuousLinearMap.orthogonal_range, contDiff_one_iff_hasFDerivAt, MeasureTheory.charFunDual_prod', LinearIsometry.completeSpace_map, NormedSpace.norm_smul_le, ProbabilityTheory.covarianceBilin_apply, ediam_smul₀, ContinuousLinearMap.opNorm_smul_le, IsBoundedBilinearMap.deriv_apply, Orthonormal.inner_finsupp_eq_zero, EuclideanGeometry.hasFDerivAt_inversion, Orientation.kahler_map, fderiv_comp', MeasureTheory.convolutionExistsAt_iff_integrable_swap, ContinuousMultilinearMap.le_opNorm_mul_prod_of_le, PiLp.hasFDerivAt_ofLp, LocallyLipschitz.neg, Asymptotics.IsBigO.neg_right, isConformalMap_id, AffineSubspace.isPreconnected_setOf_sOppSide, EuclideanGeometry.vsub_orthogonalProjection_mem_direction, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, TensorProduct.mapIsometry_apply, ContinuousMultilinearMap.compContinuousLinearMapL_apply, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, Asymptotics.IsLittleO.tendsto_inv_smul_nhds_zero, ContinuousLinearMap.norm_bilinearRestrictScalars, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, Affine.Simplex.ExcenterExists.touchpointWeights_map, IsSelfAdjoint.hasEigenvector_of_isMinOn, LinearMap.IsSymmetric.sub, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, ProbabilityTheory.covarianceBilin_map, Affine.Simplex.mongePoint_map, Affine.Simplex.eulerPoint_map, MeasureTheory.measureReal_abs_inner_gt_le_integral_charFun, Unitization.nnnorm_eq_sup, dist_sum_sum_le_of_le, HasFPowerSeriesWithinOnBall.neg, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, ContinuousLinearMap.bilinearComp_zero_left, ContinuousLinearMap.nnnorm_smulRight_apply, Asymptotics.IsBigOWith.sum, SchwartzMap.fderivCLM_fourier_eq, Bundle.ContinuousRiemannianMetric.pos, dist_partial_sum', PiLp.edist_toLp_single_same, EuclideanGeometry.Sphere.orthRadius_map, TensorProduct.toLinearMap_mapIsometry, ContinuousMultilinearMap.opNNNorm_le_iff, IsCoercive.continuousLinearEquivOfBilin_apply, LinearMap.toContinuousLinearMap₁_apply, VectorBundleCore.continuousOn_coordChange, Orientation.volumeForm_zero_neg, AffineSubspace.subtypeₐᵢ_linearIsometry, TensorProduct.enorm_map, Orientation.areaForm_map, ContinuousMap.linearIsometryBoundedOfCompact_apply_apply, RCLike.wInner_neg_left, LinearMap.IsSymmetric.id, ContinuousLinearMap.adjoint_comp, PiTensorProduct.norm_eval_le_projectiveSeminorm, iteratedFDeriv_zero_eq_comp, isCompactOperator_iff_image_ball_subset_compact, hasFTaylorSeriesUpToOn_succ_iff_left, IsConformalMap.comp, ContinuousLinearEquiv.isBigO_comp_rev, VectorFourier.integral_bilin_fourierIntegral_eq_flip, zero_at_infty_of_norm_le, hasStrictFDerivAt_sub_const_iff, real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, norm_withSeminorms, EuclideanGeometry.Sphere.IsTangent.isTangentAt, Summable.of_norm_bounded, InnerProductSpace.toLinearMap_rankOne, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.adjointAux_inner_right, LinearIsometryEquiv.map_eq_zero_iff, WithLp.idemFst_add_idemSnd, Bundle.RiemannianMetric.pos, ContinuousLinearEquiv.isOpen, vadd_closedBall_zero, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', fderivWithin_sub, continuousMultilinearCurryRightEquiv_symm_apply', ContinuousLinearMap.isBigO_sub, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, MeasureTheory.L1.setToL1_add_left, ContDiffMapSupportedIn.structureMapLM_zero_injective, LinearMap.isStarProjection_toContinuousLinearMap_iff, WithLp.idemFst_apply, iteratedDerivWithin_eq_equiv_comp, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le, MeasureTheory.charFunDual_eq_pi_iff', LinearIsometry.toContinuousLinearMap_injective, iteratedFDerivWithin_two_apply, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContinuousMultilinearMap.bound, DoubleCentralizer.coe_fst, curveIntegral_fun_sub, Submodule.adjoint_orthogonalProjection, EuclideanGeometry.reflection_apply', hasFDerivWithinAt_iff_hasGradientWithinAt, AffineIsometryEquiv.ofEq_rfl, cauchySeq_finset_of_norm_bounded, ContinuousAlternatingMap.opNorm_le_iff, EuclideanGeometry.oangle_self_orthogonalProjection, ProbabilityTheory.uncenteredCovarianceBilin_zero, Matrix.frobeniusNormSMulClass, VonNeumannAlgebra.coe_toStarSubalgebra, Matrix.toEuclideanLin_apply_piLp_toLp, LinearIsometry.norm_map', ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_comp_add_left, smul_ball, VectorFourier.fourierPowSMulRight_apply, Affine.Simplex.altitude_map, ContinuousAlternatingMap.prodLIE_apply, LinearIsometry.inl_apply, LinearIsometryEquiv.comp_hasFDerivAt_iff', ContinuousLinearMap.isBoundedLinearMap, Asymptotics.isLittleO_norm_pow_id, ContinuousLinearMap.opNorm_le_iff_lipschitz, dist_smul₀, PadicInt.mahlerEquiv_apply, AffineIsometry.toAffineMap_injective, exists_forall_sphere_dist_add_le_two_sub, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, Module.Basis.parallelepiped_map, AffineIsometryEquiv.toAffineEquiv_refl, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, VectorPrebundle.continuousOn_coordChange, LinearMap.isSymmetric_iff_sesqForm, ContinuousLinearMap.IsPositive.adjoint_conj, LinearIsometryEquiv.reflections_generate_dim, IsConformalMap.smul, nndist_lineMap_lineMap, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, LinearIsometryEquiv.withLpProdUnique_apply, hasFDerivWithinAt_pi, FormalMultilinearSeries.derivSeries_eq_zero, LinearIsometryEquiv.toContinuousLinearEquiv_refl, MulOpposite.opLinearIsometryEquiv_apply, LinearIsometryEquiv.comp_hasFDerivAt_iff, Submodule.norm_coe, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, ContinuousLinearMap.star_eq_adjoint, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, Finset.nnnorm_sum_le_sup_nnnorm, PiLp.hasFDerivAt_apply, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, LinearIsometryEquiv.toContinuousLinearEquiv_trans, HasFPowerSeriesWithinAt.neg, fourierSubalgebra_closure_eq_top, volume_euclideanSpace_eq_dirac, UniformSpace.Completion.coe_toComplL, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, QuotientAddGroup.norm_eq_addGroupSeminorm, Asymptotics.isTheta_zero_left, ProperCone.hyperplane_separation_of_notMem, ContinuousMultilinearMap.norm_compContinuous_linearIsometryEquiv, ContinuousAlternatingMap.curryLeftLI_apply, ContinuousLinearMap.norm_single_le_one, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, LinearMap.IsSymmetric.im_inner_apply_self, Matrix.frobenius_norm_diagonal, ContinuousLinearMap.norm_compSL_le, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, fderiv_star, MeasureTheory.Measure.addHaar_preimage_linearEquiv, innerₛₗ_apply, hasFDerivAtFilter_iff_tendsto, Affine.Simplex.orthogonalProjectionSpan_reindex, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, ContinuousLinearEquiv.hasFDerivAt, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, Summable.of_norm_bounded_eventually, InnerProductSpace.isIdempotentElem_rankOne_self_iff, fderivWithin_continuousLinearEquiv_comp, ContinuousLinearMap.opNorm_nonneg, IsSelfAdjoint.hasEigenvector_of_isLocalExtrOn, Pretrivialization.continuousLinearMap_symm_apply, div_le_egauge_ball, stereographic_apply, StrongDual.toLp_apply, OrthogonalFamily.norm_sum, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, inner_map_polarization, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, PiLp.proj_apply, ContinuousLinearMap.normOneClass, ContinuousLinearMap.opNNNorm_subsingleton, ContMDiffAt.mfderiv, ContinuousLinearMap.IsPositive.spectrumRestricts, OrthonormalBasis.sum_repr, Real.iteratedFDeriv_fourierIntegral, IsConformalMap.injective, instSMulCommClass_closedBall_closedBall_ball, ContinuousLinearMap.opNorm_neg, ball_zero_sub_singleton, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, continuousAt_hom_bundle, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, Submodule.fstL_comp_coe_orthogonalDecomposition, inner_smul_left_eq_smul, ContinuousLinearMap.reApplyInnerSelf_smul, nnnorm_sum_le_of_le, NonUnitalCStarAlgebra.toIsScalarTower, LinearIsometry.map_zero, IsSelfAdjoint.adjoint_conj, IsBoundedLinearMap.toIsLinearMap, not_summable_of_ratio_norm_eventually_ge, Asymptotics.isTheta_zero_right, VectorPrebundle.contMDiffOn_contMDiffCoordChange, LineDeriv.tensorLineDerivTwo_canonicalCovariantTensor_eq_sum, summable_of_isBigO, EuclideanGeometry.orthogonalProjection_linear, Asymptotics.IsLittleO.add_iff_left, PiTensorProduct.mapL_pow, DoubleCentralizer.natCast_toProd, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, mdifferentiableAt_coordChangeL, AffineSubspace.signedInfDist_def, ContinuousLinearMap.unit_le_opNorm, LinearIsometryEquiv.piLpCongrLeft_single, neg_closedBall, ContinuousLinearMap.adjoint_inner_right, exists_extension_norm_eq, ContinuousLinearMap.norm_id, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, ContDiff.contDiff_fderiv_apply, NormedSpace.closedBall_inv_subset_polar_closedBall, ContinuousLinearMap.norm_smulRightL_le, LinearIsometryEquiv.symm_smul_apply, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, OrthonormalBasis.coe_toBasis_repr_apply, det_rotation, LinearIsometryEquiv.toContinuousLinearEquiv_injective, PiLp.neg_apply, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, inner_smul_right_eq_smul, Continuous.fourierPowSMulRight, PiLp.coe_symm_continuousLinearEquiv, LinearIsometryEquiv.star_eq_symm, infEdist_neg, RCLike.wInner_add_left, hasStrictFDerivAt_add_const_iff, AffineIsometryEquiv.coe_symm_toContinuousAffineEquiv, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, Orientation.rightAngleRotation_map, VectorFourier.norm_fourierSMulRight_le, continuousWithinAt_hom_bundle, Matrix.nnnorm_diagonal, ContinuousAffineMap.hasFDerivWithinAt, NonUnitalCommCStarAlgebra.toSMulCommClass, ContinuousAlternatingMap.nnnorm_ofSubsingleton, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, hasFDerivWithinAt_add_const_iff, ContinuousMultilinearMap.currySum_apply, Affine.Simplex.signedInfDist_affineCombination, NormSMulClass.toIsBoundedSMul, signedDist_apply, Unitization.norm_splitMul_snd_sq, WithLp.edist_toLp_fst, EuclideanGeometry.angle_self_orthogonalProjection, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, le_egauge_ball_one, sub_ball_zero, Submodule.map_orthogonal, HasFiniteFPowerSeriesOnBall.hasFDerivAt, ContinuousAlternatingMap.alternatizeUncurryFin_add, MeasureTheory.DominatedFinMeasAdditive.add, AffineSubspace.angle_coe, LinearMap.IsSymmetric.conj_inner_sym, HasFPowerSeriesAt.eq_zero, AbsolutelyContinuousOnInterval.fun_smul, ContinuousLinearMap.flip_zero, LinearMap.IsSymmetric.LinearMap.IsSymmetric.directSum_isInternal_of_pairwise_commute, OrthonormalBasis.same_orientation_iff_det_eq_det, ContinuousLinearMap.extendTo𝕜'_apply, hasFDerivWithinAt_comp_sub, Affine.Simplex.ninePointCircle_map, ContinuousMultilinearMap.norm_ofSubsingleton, ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, TensorProduct.norm_map, LinearIsometryEquiv.norm_map', ContinuousLinearEquiv.continuousMultilinearMapCongrRight_apply, hasFDerivAtFilter_finCons', nndist_homothety_center, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, ConvexBody.hausdorffDist_coe, Real.hasFDerivAt_fourierChar_neg_bilinear_right, EuclideanGeometry.orthogonalProjection_eq_self_iff, Asymptotics.IsLittleO.right_isBigO_add', Unitization.splitMul_injective, ContDiffMapSupportedIn.continuous_iff_comp, Asymptotics.IsTheta.const_smul_right, DoubleCentralizer.sub_snd, SeparatingDual.completeSpace_continuousMultilinearMap_iff, LinearIsometry.withLpProdMap_apply, Orientation.finOrthonormalBasis_orientation, VectorFourier.norm_fourierSMulRight, ContinuousLinearMap.nnnorm_id, LinearEquiv.extend_apply, HasFPowerSeriesAt.eq_zero_of_eventually, hom_chart, div_le_egauge_closedBall, hasStrictFDerivAt_inv', AffineIsometryEquiv.coe_vaddConst', hasFDerivAt_exp_smul_const_of_mem_ball', tendsto_add_const_cobounded, Submodule.snd_orthogonalDecomposition_apply, LinearIsometryEquiv.withLpProdComm_apply, dist_midpoint_midpoint_le', SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, Asymptotics.isBigO_const_smul_left, ConvexBody.hausdorffEDist_coe, hasStrictFDerivAt_exp_smul_const, Complex.hasStrictFDerivAt_log_real, iteratedFDeriv_two_apply, LinearIsometry.norm_toContinuousLinearMap_le, AffineSubspace.isometryEquivMap.apply_symm_apply, real_inner_smul_left, norm_add_mul_self_real, Asymptotics.IsBigOWith.neg_right, hom_trivializationAt_apply, ContinuousMap.elemental_id_eq_top, LinearIsometryEquiv.withLpProdAssoc_apply, Real.differentiable_fourierChar_neg_bilinear_left, DilationEquiv.smulTorsor_preimage_ball, ConvexBody.hausdorffEdist_coe, ProbabilityTheory.HasGaussianLaw.toLp_prodMk, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, continuousMultilinearCurryLeftEquiv_symm_apply, Asymptotics.IsLittleO.add_isBigOWith, dist_right_lineMap, hasFDerivAtFilter_const_add_iff, singleton_add_ball_zero, ContinuousMultilinearMap.smulRightL_apply, ContinuousLinearMap.instBorelSpace, LinearIsometryEquiv.toLinearEquiv_rTensor, innerₛₗ_apply_coe, IsBoundedLinearMap.hasFDerivAt, WithLp.norm_toLp_snd, MulOpposite.toContinuousLinearEquiv_opLinearIsometryEquiv, ContinuousLinearMap.norm_snd_le, Submodule.coe_norm, ContinuousMap.norm_smul_const, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, PiLp.zero_apply, LinearIsometry.isComplete_map_iff', contMDiffOn_coordChangeL, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, NormedSpace.ext_iff, IsBoundedLinearMap.hasFDerivWithinAt, ContinuousLinearMap.nnbound, ContinuousLinearMap.opNorm_mulLeftRight_le, DoubleCentralizer.intCast_fst, norm_add_pow_two, InnerProductSpace.add_left, QuotientAddGroup.exists_norm_add_lt, ContDiffMapSupportedIn.structureMapCLM_zero_injective, Asymptotics.IsBigO.add_isLittleO, real_inner_add_add_self, LinearIsometryEquiv.prodComm_apply, ContinuousMultilinearMap.piₗᵢ_apply, Module.Basis.opNNNorm_le, OrthonormalBasis.orientation_adjustToOrientation, ContDiffAt.continuousAt_iteratedFDeriv, LinearIsometryEquiv.ofEq_rfl, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, AffineIsometryEquiv.norm_map, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id_le, tsum_of_nnnorm_bounded, ContinuousAlternatingMap.nnnorm_constOfIsEmpty, ContinuousLinearMap.le_opENorm, continuousMultilinearCurryFin1_symm_apply, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, NormedAddGroupHom.coe_add, ContinuousMultilinearMap.opNorm_le_iff, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, Submodule.Quotient.norm_mk_le, hom_trivializationAt_baseSet, Submodule.orthogonal_eq_inter, PadicInt.mahlerEquiv_symm_apply, ContinuousLinearMap.lsmul_flip_apply, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, ContinuousAlternatingMap.unit_le_opNorm, norm_sub_eq_norm_add, ContDiffAt.differentiableAt_iteratedFDeriv, ContinuousLinearEquiv.comp_fderivWithin, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, ContinuousAlternatingMap.opNNNorm_le_iff, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, ContinuousOn.continuousOn_iteratedFDeriv, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, LinearIsometryEquiv.map_smul, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, Asymptotics.IsBigO.const_smul_self, VonNeumannAlgebra.instSubringClass, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, ContinuousMultilinearMap.norm_smulRight, EuclideanGeometry.orthogonalProjection_apply, hasFDerivAt_exp_zero_of_radius_pos, instSMulCommClass_sphere_closedBall_ball, re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, Bundle.ContinuousLinearMap.memTrivializationAtlas, antilipschitzWith_neg_iff, ContinuousAlternatingMap.bound, IsLocalMax.norm_add_self, LinearIsometry.rTensor_apply, hasStrictFDerivAt_pow, FormalMultilinearSeries.derivSeries_apply_diag, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, LinearIsometry.toLinearMap_lTensor, EuclideanGeometry.orthogonalProjection_mem_orthogonal, coe_innerₛₗ_apply, ProbabilityTheory.covarianceBilinDual_of_not_memLp, FormalMultilinearSeries.norm_changeOriginSeriesTerm, PiLp.hasStrictFDerivAt_ofLp, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, ContinuousLinearMap.norm_id_of_nontrivial_seminorm, isScalarTower_closedBall_closedBall_ball, HasFTaylorSeriesUpTo.zero_eq', InnerProductSpace.continuousLinearMapOfBilin_apply, NormedAddGroupHom.sum_apply, ContinuousMultilinearMap.norm_def, NormedSpace.double_dual_bound, Matrix.cstar_norm_def, MeasureTheory.convolution_eq_swap, Module.Basis.opNorm_le, AffineIsometryEquiv.toAffineEquiv_symm, UniformCauchySeqOnFilter.one_smulRight, ContinuousMultilinearMap.curryFinFinset_symm_apply, ContinuousAlternatingMap.opNorm_pi, DFinsupp.inner_sum, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, ContinuousLinearMap.norm_snd, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv, HasFTaylorSeriesUpTo.fderiv, Quaternion.linearIsometryEquivTuple_apply, PiTensorProduct.injectiveSeminorm_tprod_le, lipschitzWith_lineMap, ContinuousLinearMap.norm_holderL_le, hasFDerivWithinAt_pow, Asymptotics.IsBigOWith.right_le_add_of_lt_one, coe_neg_ball, PiLp.continuousLinearEquiv_apply, curveIntegral_sub, ContinuousAlternatingMap.instContinuousEval, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, AffineIsometryEquiv.toContinuousAffineEquiv_injective, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, dist_midpoint_left, cauchy_series_of_le_geometric, Polynomial.hasFDerivWithinAt, Real.hasStrictFDerivAt_rpow_of_neg, intervalIntegral.integral_hasFDerivAt, ProperCone.innerDual_toSubmodule, CurveIntegrable.sub, HasFiniteFPowerSeriesOnBall.fderiv_eq, MeasureTheory.condExp_stronglyMeasurable_bilin_of_bound, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, ContinuousAlternatingMap.hasFDerivAt, HasFPowerSeriesAt.locally_zero_iff, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, PiTensorProduct.mapL_add, ContinuousLinearMap.analyticAt_bilinear, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', ProbabilityTheory.IsGaussian.charFunDual_eq', HasFPowerSeriesAt.hasStrictFDerivAt, contDiffOn_fderivWithin_apply, OrthonormalBasis.det_to_matrix_orthonormalBasis_real, NormedSpace.toLocallyConvexSpace', isConnected_setOf_sameRay, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, isBoundedLinearMap_continuousMultilinearMap_comp_linear, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, innerSL_apply_coe, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, Submodule.Quotient.norm_mk_lt, ContinuousLinearMap.bound, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, HolderWith.smul, nndist_right_midpoint, LinearMap.IsSymmetric.iSup_eigenspace_inf_eigenspace_of_commute, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, hasFDerivAt_inv', exists_continuousLinearEquiv_fderiv_symm_eq, FormalMultilinearSeries.rightInv_coeff, Affine.Simplex.inradius_map, IsUltrametricDist.isNonarchimedean_nnnorm, OpenPartialHomeomorph.unitBallBall_symm_apply, MeasureTheory.AEStronglyMeasurable.convolution_integrand', ContinuousMultilinearMap.norm_constOfIsEmpty, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, LinearMap.isSymmetric_iff_inner_map_self_real, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, AddSubgroup.normedMk.apply, ContinuousLinearMap.isPositive_adjoint_comp_self, hasFDerivWithinAt_iff_tendsto, instSMulCommClass_sphere_sphere_closedBall, ContDiffOn.differentiableOn_iteratedFDerivWithin, ContinuousMultilinearMap.le_opNorm_mul_pow_of_le, Matrix.l2_opNorm_def, signedDist_apply_linear, ContinuousMultilinearMap.le_opNNNorm, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Matrix.toEuclideanLin_toLp, Bundle.RiemannianMetric.continuousAt, IsCompact.add_closedBall_zero, MeasureTheory.charFun_zero, LinearIsometryEquiv.piLpCongrLeft_symm, ContinuousLinearMap.holderL_apply_apply, FormalMultilinearSeries.comp_rightInv_aux2, ContinuousMultilinearMap.opNorm_prod, MeasureTheory.DominatedFinMeasAdditive.zero, tsum_of_norm_bounded, isConformalMap_const_smul, real_inner_smul_self_right, MeasureTheory.AEStronglyMeasurable.convolution_integrand, dist_smul_add_one_sub_smul_le, norm_innerSL_le, AffineSubspace.subtypeₐᵢ_toAffineMap, VectorFourier.hasFDerivAt_fourierChar_smul, OrthonormalBasis.measurePreserving_measurableEquiv, ContinuousLinearMap.isLeast_opNorm, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, norm_sum_le, Real.exists_extension_norm_eq, continuousMultilinearCurryRightEquiv_apply, NormedAddGroupHom.coe_zero, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, Submodule.starProjection_coe_eq_isCompl_projection, ContDiffMapSupportedIn.structureMapLM_zero_apply, hasFDerivAtFilter_add_const_iff, gauge_closedBall, OpenPartialHomeomorph.univUnitBall_symm_apply, ContinuousAlternatingMap.prodLIE_symm_apply, dist_sum_sum_le, Submodule.ClosedComplemented.of_quotient_finiteDimensional, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, ProbabilityTheory.covarianceBilinDual_of_not_memLp', LinearIsometryEquiv.withLpUniqueProd_apply, VectorFourier.integrable_fourierPowSMulRight, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, instSMulCommClass_closedBall_closedBall_closedBall, Orthonormal.inner_right_fintype, ContinuousLinearMap.flipₗᵢ_symm, Asymptotics.isTheta_const_smul_right, exists_continuousLinearEquiv_fderivWithin_symm_eq, OrthonormalBasis.abs_det_adjustToOrientation, HasGradientWithinAt.hasFDerivWithinAt, WithLp.nndist_toLp_fst, ContinuousLinearMap.dist_le_opNorm, FormalMultilinearSeries.rightInv_coeff_one, Asymptotics.IsLittleO.add_iff_right, hasFDerivAt_exp, ContinuousAlternatingMap.opNNNorm_prod, Pi.orthonormalBasis_repr, WithLp.instProdIsBoundedSMul, Submodule.IsCompl.projection_isSymmetric_iff, LinearMap.isAdjointPair_inner, ContinuousLinearMap.norm_holder_apply_apply_le, absorbent_ball_zero, Submodule.norm_subtypeL_le, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, AffineIsometry.coe_toContinuousAffineMap, hasFDerivAtFilter_pi', ImplicitFunctionData.hasStrictFDerivAt_rightFun, fderivWithin_comp, RCLike.wInner_add_right, hasFDerivAt_inv, iteratedFDeriv_tsum_apply, Affine.Simplex.direction_altitude, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, ContinuousMap.linearIsometryBoundedOfCompact_toIsometryEquiv, ContinuousLinearMap.fpowerSeries_apply_one, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, continuousOn_clm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, infEdist_neg_neg, IsMaxFilter.norm_add_self, constFormalMultilinearSeries_zero, sub_ball, OpenPartialHomeomorph.unitBallBall_apply, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, Asymptotics.IsBigO.isBigOTVS, LinearIsometryEquiv.toContinuousLinearEquiv_smul, ContinuousAlternatingMap.compContinuousLinearMapCLM_apply, ContinuousMultilinearMap.norm_compContinuousLinearMap_le, ContinuousLinearMap.opNNNorm_mul_apply, AffineIsometry.image_intrinsicFrontier, ContinuousMultilinearMap.curryFinFinset_apply, EuclideanGeometry.orthogonalProjection_eq_iff_mem, nndist_self_homothety, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, FormalMultilinearSeries.changeOriginSeriesTerm_bound, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, LinearMap.IsSymmetric.hasEigenvector_eigenvectorBasis, Matrix.linfty_opNNNorm_diagonal, hasFDerivAt_fst, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, LinearMap.IsSymmetric.coe_re_inner_apply_self, mdifferentiableWithinAt_hom_bundle, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, ContinuousLinearMap.norm_precompL_le, norm_add_sq_eq_norm_sq_add_norm_sq_real, Real.fderiv_fourierChar_neg_bilinear_left_apply, ContinuousLinearMap.apply_apply, AbsolutelyContinuousOnInterval.smul, Asymptotics.isThetaTVS_iff_isTheta, hasFDerivAt_pi', OrthogonalFamily.summable_iff_norm_sq_summable, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, instSMulCommClass_sphere_sphere_ball, IsSymmSndFDerivWithinAt.eq, PiTensorProduct.mapLMultilinear_opNorm, exists_forall_closed_ball_dist_add_le_two_mul_sub, ContinuousMultilinearMap.norm_image_sub_le', summable_of_isBigO_nat, DFinsupp.sum_inner, WithLp.dist_toLp_fst, NonUnitalCStarAlgebra.toSMulCommClass, closedBall_zero_add_singleton, DoubleCentralizer.intCast_toProd, MeasureTheory.StronglyMeasurable.norm_approxBounded_le, EuclideanSpace.volume_closedBall, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, hom_trivializationAt_target, exists_forall_closed_ball_dist_add_le_two_sub, finrank_euclideanSpace_fin, LinearIsometryEquiv.withLpUniqueProd_symm_apply, le_egauge_closedBall_one, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, HasCompactSupport.convolution_integrand_bound_right, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, OrthonormalBasis.repr_reindex, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, MeasureTheory.charFun_map_smul, convex_closedBall, AffineIsometry.id_toAffineMap, cauchySeq_finset_of_geometric_bound, hasStrictFDerivAt_pi, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, ContinuousLinearMap.adjoint_innerSL_apply, hasFDerivAt_iff_isLittleO_nhds_zero, LinearIsometry.submoduleMap_apply_coe, IsBoundedBilinearMap.smul_right, OrthogonalFamily.inner_right_fintype, not_summable_of_ratio_test_tendsto_gt_one, ContDiffMapSupportedIn.structureMapLM_apply, fderiv_tsum_apply, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, MeasureTheory.aefinStronglyMeasurable_of_aemeasurable, isBoundedLinearMap_prod_multilinear, nndist_homothety_self, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, Orthonormal.inner_sum, continuousOn_coordChange, HasCompactSupport.convolution_integrand_bound_right_of_subset, LinearIsometryEquiv.comp_fderiv', HasFiniteFPowerSeriesAt.comp, Asymptotics.IsLittleO.right_isTheta_add', Complex.det_conjLIE, LinearMap.IsSymmetric.intCast, contMDiffWithinAt_hom_bundle, mem_contMDiffFiberwiseLinear_iff, Submodule.coe_prodEquivOfClosedCompl, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, isOpen_setOf_nat_le_rank, CurveIntegrable.neg, isClosed_setOf_isCompactOperator, DoubleCentralizer.coe_snd, EuclideanGeometry.dist_set_eq_iff_dist_orthogonalProjection_eq, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, MeasureTheory.integral_convolution, ContinuousLinearMap.le_opNorm_enorm, fderiv_norm_sq_apply, OpenPartialHomeomorph.univBall_symm_apply_center, OrthonormalBasis.tensorProduct_repr_tmul_apply, Real.posLog_norm_sum_le, ContinuousMultilinearMap.norm_curryMid, ContinuousAlternatingMap.ratio_le_opNorm, hasFDerivAt_exp_of_mem_ball, LinearMap.exists_map_addHaar_eq_smul_addHaar', NormedSpace.dual_def, LinearMap.IsSymmetric.add, TensorProduct.inner_map_map, fderiv_norm_sq, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, Submodule.ClosedComplemented.of_isCompl_isClosed, NonUnitalCommCStarAlgebra.toIsScalarTower, ContinuousLinearMap.coe_mulₗᵢ, OrthogonalFamily.inner_right_dfinsupp, PiLp.sumPiLpEquivProdLpPiLp_apply_ofLp, lipschitzWith_neg_iff, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', orthonormal_span, Asymptotics.IsBigO.smul_isLittleO, ContinuousLinearMap.innerSL_apply_comp, ContinuousLinearMap.toSesqForm_apply_norm_le, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, PiTensorProduct.injectiveSeminorm_def, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, ContinuousAlternatingMap.norm_image_sub_le, inner_neg_left, hasStrictFDerivAt_sub_const, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, hasFDerivAt_stereoInvFunAux_comp_coe, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, inner_smul_left, contDiff_succ_iff_hasFDerivAt, dist_lineMap_lineMap, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, LinearIsometryEquiv.withLpProdAssoc_symm_apply, LinearIsometryEquiv.ofEq_symm, hasFDerivWithinAt_comp_add_left, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, HolderWith.smul_iff, Submodule.coe_prodEquivOfClosedCompl_symm, Affine.Simplex.circumradius_map, LinearIsometryEquiv.coe_prodAssoc, Bundle.ContinuousRiemannianMetric.isVonNBounded, Asymptotics.IsLittleO.right_isBigO_add, nndist_lineMap_left, hasFDerivAt_pi, IsUltrametricDist.nnnorm_tsum_le, ContinuousLinearMap.hasDerivAt_of_bilinear, Circle.norm_smul, AffineIsometryEquiv.pointReflection_midpoint_right, hasFDerivWithinAt_snd, IsBoundedLinearMap.isLinearMap_and_continuous_iff_isBoundedLinearMap, ContMDiff.coordChangeL, LinearIsometryEquiv.coe_withLpUniqueProd, Affine.Simplex.altitude_def, ContinuousLinearMap.orthogonal_ker, ContinuousLinearMap.continuousAt_uncurry_of_multilinear, Asymptotics.IsLittleO.const_smul_left, contDiffWithinAt_succ_iff_hasFDerivWithinAt, Asymptotics.IsBigO.hasFDerivAt, BoundedContinuousFunction.probCharDual_apply, InnerProductSpace.norm_rankOne, ProbabilityTheory.IsGaussian.map_rotation_eq_self_of_forall_strongDual_eq_zero, DoubleCentralizer.neg_fst, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, PiTensorProduct.mapLMultilinear_toFun_apply, norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero, LinearIsometryEquiv.map_smulₛₗ, real_inner_I_smul_self, Orthonormal.inner_right_sum, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, Affine.Triangle.equilateral_iff_dist_eq_and_dist_eq, hasStrictFDerivAt_exp_smul_const_of_mem_ball, ContinuousAlternatingMap.le_opNorm_mul_prod_of_le, Matrix.gram_single, LinearMap.IsSymmetric.pow, hasFDerivAt_prodMk_right, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, Summable.of_norm_bounded_eventually_nat, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, ball_zero_subset_range_iff_surjective, Homeomorph.unitBall_symm_apply, Complex.restrictScalars_toSpanSingleton', LinearIsometryEquiv.submoduleMap_apply_coe, fderiv_inv', AffineSubspace.isPreconnected_setOf_sSameSide, Continuous.fderiv_one, AffineIsometryEquiv.coe_toAffineEquiv, FormalMultilinearSeries.comp_assoc, PiTensorProduct.tprodL_coe, HasFPowerSeriesWithinAt.comp, Asymptotics.IsLittleO.neg_right, AffineIsometryEquiv.coe_toContinuousAffineEquiv, continuousMultilinearCurryFin1_apply, LinearMap.IsSymmetric.eigenvectorBasis_def, PiLp.hasStrictFDerivAt_toLp, hasStrictFDerivAt_euclidean, unitary.linearIsometryEquiv_coe_apply, LinearIsometryEquiv.toLinearEquiv_trans
toNorm 📖	CompOp	437 math math: Matrix.frobenius_norm_replicateCol, norm_sub_sq_real, Asymptotics.isBigO_norm_norm, PiLp.norm_toLp_const', ContinuousMultilinearMap.norm_mkPiRing, IsUltrametricDist.isNonarchimedean_norm, Asymptotics.isBigO_neg_left, WithLp.norm_fst_le, ContinuousLinearMap.isBigO_comp, Finset.Nonempty.norm_sum_le_sup'_norm, ContinuousAlternatingMap.opNorm_prod, Asymptotics.IsBigOTVS.isBigO, QuotientAddGroup.exists_norm_mk_lt, Matrix.linfty_opNorm_diagonal, Asymptotics.isTheta_completion_right, Asymptotics.isBigO_zero_right_iff, Matrix.norm_diagonal, norm_star, norm_zsmul, Asymptotics.isBigO_const_smul_right, LinearIsometry.norm_compContinuousAlternatingMap, Asymptotics.isLittleO_completion_left, ContinuousAlternatingMap.norm_constOfIsEmpty, ContinuousLinearMap.sSup_unit_ball_eq_norm, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, Asymptotics.isLittleO_completion_right, Asymptotics.isBigOWith_pi, Asymptotics.isLittleO_prod_left, Filter.Tendsto.isBigO_one, Orthonormal.norm_eq_one, ContinuousLinearMap.isBigOWith_sub, Matrix.norm_def, Asymptotics.isBigOWith_neg_right, dist_partial_sum, Real.posLog_norm_add_le, PiLp.norm_toLp_one, PiLp.norm_ofLp, real_inner_smul_self_left, Asymptotics.isBigO_prod_left, SeparationQuotient.norm_liftNormedAddGroupHom_apply_le, LinearIsometry.norm_map, NormedSpace.image_isVonNBounded_iff, Asymptotics.isBigOWith_norm_right, WithLp.prod_norm_eq_idemFst_of_L1, ContinuousMap.norm_le, Asymptotics.isBigO_zero, Asymptotics.isLittleOTVS.isLittleO, ContinuousMap.norm_coe_le_norm, Asymptotics.isLittleO_comm, MulOpposite.normOneClass, QuotientAddGroup.le_norm_iff, Matrix.linfty_opNorm_replicateRow, ContinuousLinearMap.isBigOWith_id, norm_add_pow_two_real, BoundedContinuousFunction.coe_normComp, NormedAddCommGroup.norm_toCompl, norm_sub_mul_self, Asymptotics.IsBigOWith.const_smul_self, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, Asymptotics.isBigOWith_zero_right_iff, LinearIsometryEquiv.norm_map, ContinuousAlternatingMap.norm_def, PiLp.norm_toLp_single, eventually_nhds_norm_smul_sub_lt, OrthogonalFamily.norm_sq_diff_sum, Asymptotics.isBigO_pi, SemilinearIsometryEquivClass.norm_map, parallelogram_law_with_norm, ContinuousLinearEquiv.isBigO_comp, Asymptotics.isBigO_norm_right, IsBoundedBilinearMap.isBigO_comp, Seminorm.bound_of_continuous_normedSpace, SemilinearMapClass.bound_of_continuous, Matrix.norm_entry_le_entrywise_sup_norm, inner_self_eq_norm_sq_to_K, norm_multiset_sum_le, Asymptotics.isBigO_neg_right, IsUltrametricDist.norm_tsum_le, norm_sub_pow_two_real, ContinuousLinearMap.le_opNorm, WithLp.prod_norm_toLp, norm_sub_sq, ContinuousMap.norm_le_of_nonempty, Asymptotics.isBigO_fst_prod, NormedAddGroupHom.IsQuotient.norm_le, Asymptotics.isLittleO_insert, set_smul_sphere_zero, IsBoundedBilinearMap.isBigO', ContinuousLinearMap.exists_lt_apply_of_lt_opNorm, Asymptotics.isBigOWith_comm, Asymptotics.isLittleO_iff_nat_mul_le, re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, abs_real_inner_le_norm, PositiveLinearMap.preGNS_norm_def, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_norm, norm_add_eq_sqrt_iff_real_inner_eq_zero, re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, ZeroAtInftyContinuousMapClass.norm_le, rescale_to_shell_semi_normed_zpow, SameRay.norm_sub, norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, LinearEquiv.toSpanNonzeroSingleton_homothety, hasFDerivAtFilter_iff_isLittleO, Asymptotics.isLittleO_zero, ContinuousMap.norm_eq_iSup_norm, ContinuousMultilinearMap.norm_restr, ContinuousMultilinearMap.norm_image_sub_le, ContinuousLinearMap.norm_toSpanSingleton, ContinuousLinearEquiv.isBigO_sub, UniformConvexSpace.uniform_convex, add_mem_ball_iff_norm, dist_self_sub_right, QuotientAddGroup.norm_lt_iff, NormedSpace.toNormSMulClass, Asymptotics.isLittleO_norm_right, PiTensorProduct.projectiveSeminorm_tprod_le, ContinuousAlternatingMap.norm_restrictScalars, convexOn_univ_norm, ContinuousLinearMap.isBigO_id, hasStrictFDerivAt_iff_isLittleO, dist_eq, BoundedContinuousFunction.bddAbove_range_norm_comp, ContinuousMultilinearMap.le_opNorm, cauchySeq_finset_iff_vanishing_norm, Asymptotics.isBigOWith_norm_norm, TrivSqZeroExt.norm_def, norm_smul_of_nonneg, ContinuousAlternatingMap.le_opNorm, Matrix.frobenius_norm_conjTranspose, realPart.norm_le, real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, NormedAddGroupHom.le_of_opNorm_le, Asymptotics.isBigOTVS_iff_isBigO, MultilinearMap.exists_bound_of_continuous, norm_sub_eq_sqrt_iff_real_inner_eq_zero, ContinuousLinearMap.ratio_le_opNorm, HasStrictFDerivAt.isLittleO, eventually_norm_sub_lt, Asymptotics.isLittleO_neg_right, Asymptotics.isBigO_fst_prod', exists_norm_eq, WithLp.prod_norm_ofLp, inv_norm_smul_mem_unitClosedBall, WithLp.prod_norm_eq_idemFst_sup_idemSnd, dist_eq_norm_vsub', SemiNormedGrp.completion.norm_incl_eq, AlternatingMap.exists_bound_of_continuous, inner_eq_sum_norm_sq_div_four, Matrix.norm_le_iff, IsUltrametricDist.exists_norm_multiset_sum_le, controlled_sum_of_mem_closure_range, BoundedContinuousFunction.norm_le, Matrix.frobenius_norm_def, gauge_ball, ContinuousAlternatingMap.norm_ofSubsingleton, Asymptotics.isLittleO_const_smul_left, mul_gauge_le_norm, PiTensorProduct.norm_eval_le_injectiveSeminorm, ContinuousLinearMap.norm_smulRight_apply, summable_iff_vanishing_norm, WithLp.prod_norm_eq_add_idemFst, NormedStarGroup.norm_star_le, IsBoundedLinearMap.isBigO_comp, Asymptotics.isBigO_completion_right, IsUltrametricDist.norm_fwdDiff_iter_apply_le, Asymptotics.isLittleO_pow_sub_pow_sub, Asymptotics.isLittleO_const_smul_right, Asymptotics.isBigOWith_zero, AbsolutelyContinuousOnInterval.exists_bound, NormedSpace.isVonNBounded_iff', NormedAddGroupHom.bound', inner_eq_norm_sq_left_iff, NormedAddGroupHom.IsQuotient.norm_lift, Asymptotics.isTheta_const_smul_left, mem_nullAddSubgroup_iff, norm_zsmul_le, SeparationQuotient.normedMk_eq_zero_iff, BoundedContinuousFunction.norm_le_of_nonempty, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, rescale_to_shell_semi_normed, SeparationQuotient.mk_eq_zero_iff, imaginaryPart.norm_le, ContinuousAlternatingMap.isLeast_opNorm, MeasureTheory.StronglyMeasurable.exists_spanning_measurableSet_norm_le, real_inner_add_sub_eq_zero_iff, Asymptotics.isLittleO_refl_left, ContinuousLinearMap.le_of_opNorm_le, NormedAddGroupHom.ratio_le_opNorm, WithLp.norm_toLp_fst, exists_dual_vector, Matrix.instNormOneClassOfNonempty, ContinuousMultilinearMap.opNorm_pi, Asymptotics.isLittleO_principal, ContinuousLinearMap.sSup_sphere_eq_norm, PiLp.norm_sq_eq_of_L2, add_mem_closedBall_iff_norm, PiLp.norm_eq_of_L1, norm_norm, inner_self_eq_norm_mul_norm, norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, Matrix.norm_transpose, Asymptotics.isBigOWith_norm_left, real_inner_le_norm, dist_vadd_left, Asymptotics.isTheta_norm_right, MeasureTheory.AEStronglyMeasurable.norm, exists_dual_vector'', UniformSpace.Completion.norm_coe, Asymptotics.isBigO_atTop_iff_eventually_exists_pos, AffineIsometry.norm_map, Asymptotics.isLittleOTVS_iff_isLittleO, WithLp.prod_norm_eq_of_L1, ContinuousLinearMap.isBigOWith_comp, norm_sub_le_of_mem_segment, abs_real_inner_div_norm_mul_norm_le_one, inner_self_eq_norm_sq, ContinuousLinearEquiv.isBigO_sub_rev, Matrix.norm_replicateRow, NormedAddGroupHom.bound, Asymptotics.isLittleO_norm_pow_norm_pow, HasFDerivAtFilter.isLittleO, real_inner_self_eq_norm_sq, ContinuousMultilinearMap.ratio_le_opNorm, ContinuousLinearMap.norm_extendTo𝕜'_bound, dist_vadd_right, NormedSpace.norm_le_dual_bound, LinearMap.toSpanSingleton_homothety, Asymptotics.isBigO_snd_prod', ContinuousLinearMap.le_opNorm₂, quotient_norm_mk_eq, LinearMap.norm_map_iff_inner_map_map, ZeroAtInftyContinuousMap.norm_toBCF_eq_norm, Asymptotics.isTheta_sup, Asymptotics.isBigO_norm_left, InnerProductSpace.norm_sq_eq_re_inner, PiLp.norm_seminormedAddCommGroupToPi, Asymptotics.isBigOWith_zero', Matrix.linftyOpNormSMulClass, Asymptotics.isLittleO_norm_left, WithLp.normSMulClassSeminormedAddCommGroupToProd, Asymptotics.isBigO_snd_prod, NormedAddGroupHom.norm_eq_of_isometry, NormedAddGroupHom.le_opNorm, IsBoundedLinearMap.bound, IsUltrametricDist.exists_norm_finset_sum_le, norm_sub_sq_eq_norm_sq_add_norm_sq_real, QuotientAddGroup.norm_lift_apply_le, gauge_unit_ball, ContinuousAlternatingMap.norm_image_sub_le', Asymptotics.isBigO_sup, Int.Matrix.one_le_norm_A_of_ne_zero, ContinuousMap.norm_lt_iff, Matrix.norm_conjTranspose, ContinuousMap.norm_lt_iff_of_nonempty, BoundedContinuousFunction.norm_lt_iff_of_compact, isBoundedLinearMap_iff, TrivSqZeroExt.norm_inl, ContinuousMultilinearMap.norm_iteratedFDeriv_le', Matrix.linfty_opNorm_mulVec, Asymptotics.isBigOWith_prod_left, Asymptotics.isLittleO_zero_right_iff, Matrix.norm_lt_iff, controlled_sum_of_mem_closure, ContinuousLinearMap.opNorm_le_iff, BoundedContinuousFunction.norm_lt_iff_of_nonempty_compact, WithLp.prod_norm_sq_eq_of_L2, ProbabilityTheory.Fernique.measure_le_mul_measure_gt_normThreshold_le_of_map_rotation_eq_self, inner_sum_smul_sum_smul_of_sum_eq_zero, Asymptotics.isLittleO_of_subsingleton, PiLp.norm_eq_of_nat, enorm_norm, PiLp.norm_toLp_const, nnnorm_norm, norm_add_sq_real, Matrix.linfty_opNorm_replicateCol, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, PiLp.norm_apply_le, Asymptotics.isBigOWith_neg_left, mem_nullSubmodule_iff, IsBoundedLinearMap.isBigO_sub, norm_add_sq, Asymptotics.isBigO_const_left_iff_pos_le_norm, inner_eq_ofReal_norm_sq_left_iff, norm_add_mul_self, Asymptotics.isLittleO_neg_left, AntilipschitzWith.le_mul_norm_sub, WithLp.instProdNormSMulClass, dist_self_sub_left, innerSL_apply_norm, IsUltrametricDist.exists_norm_finset_sum_le_of_nonempty, OpenPartialHomeomorph.univUnitBall_apply, NormedAddGroupHom.IsQuotient.norm, Matrix.normSMulClass, Prod.normOneClass, Matrix.linfty_opNorm_mul, real_inner_self_eq_norm_mul_norm, coe_normSeminorm, Asymptotics.isTheta_norm_left, Asymptotics.isBigO_comm, BoundedContinuousFunction.norm_coe_le_norm, NormedSpace.norm_smul_le, ContinuousLinearMap.opNorm_smul_le, Asymptotics.isBigO_refl_left, Asymptotics.isBigOWith_snd_prod, Ideal.Quotient.norm_mk_lt, WithLp.norm_seminormedAddCommGroupToProd, dist_partial_sum', PiTensorProduct.norm_eval_le_projectiveSeminorm, Asymptotics.isBigOTVS.isBigO, Asymptotics.isTheta_completion_left, ContinuousLinearEquiv.isBigO_comp_rev, real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, ULift.normOneClass, ContinuousLinearMap.isBigO_sub, ContinuousMultilinearMap.bound, MeasureTheory.StronglyMeasurable.norm, ContinuousAlternatingMap.opNorm_le_iff, Matrix.frobeniusNormSMulClass, LinearIsometry.norm_map', Asymptotics.isLittleO_norm_pow_id, SameRay.norm_add, exists_forall_sphere_dist_add_le_two_sub, IsBoundedBilinearMap.isBigO, BoundedContinuousFunction.abs_diff_coe_le_dist, Submodule.norm_coe, ContinuousMultilinearMap.le_of_opNorm_le, BoundedContinuousFunction.norm_const_eq, Asymptotics.isTheta_zero_left, Matrix.frobenius_norm_diagonal, exists_norm_le_of_cauchySeq, OrthogonalFamily.norm_sum, SameRay.norm_smul_eq, NormedAddCommGroup.tendsto_atTop, Asymptotics.isTheta_zero_right, WithLp.norm_snd_le, QuotientAddGroup.norm_mk_le_norm, dist_eq_norm_vsub, SeparationQuotient.norm_mk, Asymptotics.isBigO_iff_eventually_isBigOWith, SemilinearIsometryClass.norm_map, ProbabilityTheory.measure_le_mul_measure_gt_le_of_map_rotation_eq_self, LinearIsometryEquiv.norm_map', AddGroupSeminormClass.toSeminormedAddCommGroup_norm_eq, Asymptotics.isLittleO_norm_norm, dist_self_add_right, BoundedContinuousFunction.norm_const_le, norm_add_sub_norm_sub_le_two_mul_min, Asymptotics.isBigO_const_smul_left, Asymptotics.isLittleO_top, norm_add_mul_self_real, ContinuousLinearMap.exists_mul_lt_of_lt_opNorm, WithLp.norm_toLp_snd, Submodule.coe_norm, ContinuousMap.norm_smul_const, dist_self_add_left, norm_add_pow_two, QuotientAddGroup.exists_norm_add_lt, norm_eq_sqrt_re_inner, AffineIsometryEquiv.norm_map, ContinuousMultilinearMap.opNorm_le_iff, Submodule.Quotient.norm_mk_le, norm_sub_eq_norm_add, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, Asymptotics.IsBigO.const_smul_self, ContinuousMultilinearMap.norm_smulRight, re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, ContinuousAlternatingMap.bound, IsBoundedBilinearMap.bound, Asymptotics.isBigO_iff_eventually, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, NormedSpace.double_dual_bound, norm_sub_pow_two, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, ContinuousAlternatingMap.opNorm_pi, PiTensorProduct.injectiveSeminorm_tprod_le, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, PiLp.norm_toLp, Asymptotics.IsThetaTVS.isTheta, PiLp.norm_eq_of_L2, Submodule.Quotient.norm_mk_lt, ContinuousLinearMap.bound, re_inner_le_norm, Asymptotics.isLittleO_pow_sub_sub, IsBoundedLinearMap.isBigO_id, Ideal.Quotient.norm_mk_le, Asymptotics.isBigO_of_subsingleton, BoundedContinuousFunction.norm_eq_iSup_norm, ContinuousMultilinearMap.norm_constOfIsEmpty, Asymptotics.isBigO_completion_left, norm_sub_mul_self_real, real_inner_smul_self_right, norm_sum_le, range_norm, gauge_closedBall, OpenPartialHomeomorph.univUnitBall_symm_apply, orthonormal_vecCons_iff, Matrix.norm_replicateCol, Asymptotics.isTheta_const_smul_right, inner_eq_norm_sq_right_iff, WithLp.prod_norm_eq_of_L2, ContinuousLinearMap.bound_of_antilipschitz, NormedAddCommGroup.tendsto_atTop', Orthonormal.sum_inner_products_le, Matrix.frobenius_norm_replicateRow, norm_add_sq_eq_norm_sq_add_norm_sq_real, Asymptotics.isThetaTVS_iff_isTheta, exists_forall_closed_ball_dist_add_le_two_mul_sub, ContinuousMultilinearMap.norm_image_sub_le', AffineIsometryEquiv.dist_pointReflection_self', MeasureTheory.StronglyMeasurable.norm_approxBounded_le, exists_forall_closed_ball_dist_add_le_two_sub, ContinuousLinearMap.norm_smulRightL_apply, inner_eq_ofReal_norm_sq_right_iff, Matrix.frobenius_norm_transpose, Real.posLog_norm_sum_le, PositiveLinearMap.preGNS_norm_sq, ContinuousAlternatingMap.ratio_le_opNorm, Matrix.linfty_opNorm_def, Int.Matrix.exists_ne_zero_int_vec_norm_le, Asymptotics.isBigOWith_fst_prod, ContinuousLinearMap.toSesqForm_apply_norm_le, ContinuousAlternatingMap.norm_image_sub_le, Matrix.norm_eq_sup_sup_nnnorm, NormedAddGroupHom.norm_incl, NormedAddTorsor.dist_eq_norm', Asymptotics.isLittleO_iff_nat_mul_le', Circle.norm_smul, norm_inner_le_norm, TrivSqZeroExt.norm_inr, InnerProductSpace.norm_rankOne, norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero, convexOn_norm, Orthonormal.tsum_inner_products_le, Int.Matrix.exists_ne_zero_int_vec_norm_le', norm_eq_sqrt_real_inner, Asymptotics.isLittleO_pi
toPseudoMetricSpace 📖	CompOp	6225 math, 1 bridge math: AnalyticWithinAt.const_smul, ContinuousMap.dense_setOf_contDiff, singleton_sub_closedBall_zero, SchwartzMap.norm_toLp_le_seminorm, ContDiffMapSupportedIn.coe_toBoundedContinuousFunction, Pi.comul_eq_adjoint, TestFunctionClass.instContinuousMapClass, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_add, ValueDistribution.logCounting_zero, instSeparatingDual, MeasureTheory.Lp.instHasSolidNorm, TangentBundle.continuousLinearMapAt_model_space, ContinuousLinearEquiv.antilipschitz, MeasureTheory.Measure.integral_comp_inv_smul, TangentBundle.tangentMap_tangentBundle_pure, VectorBundleCore.toFiberBundleCore_coordChange, InnerProductGeometry.cos_angle_add_of_inner_eq_zero, iteratedDeriv_scomp_two, MeromorphicOn.deriv, TensorProduct.mapInclIsometry_apply, MeasureTheory.integrable_prodLp_iff, ContinuousLinearMap.rayleigh_smul, MeasureTheory.integrable_indicatorConstLp, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, ContinuousMap.toLp_inj, WeakFEPair.differentiableAt_Λ, LinearIsometryEquiv.strictConvex_preimage, TemperedDistribution.lineDerivOpCLM_eq, PiTensorProduct.mapL_id, continuousSMul_sphere_ball, AffineIsometryEquiv.coe_constVSub, PiLp.continuousLinearEquiv_symm_apply, MemHolder.nsmul, ball_sub, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Submodule.starProjection_apply_eq_isComplProjection, Orientation.oangle_sign_smul_add_right, DiffContOnCl.smul, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, Orientation.kahler_map_complex, Trivialization.pullback_linear, MeasureTheory.setIntegral_tilted, Metric.isPreconnected_ball, hasFPowerSeriesWithinAt_iff_exists_hasFPowerSeriesAt, FormalMultilinearSeries.comp_rightInv_aux1, MeasureTheory.LpToLpRestrictCLM_coeFn, ContinuousLinearMap.hasFPowerSeriesOnBall, tendsto_zero_iff_meromorphicOrderAt_pos, UpperHalfPlane.mdifferentiable_num, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, TemperedDistribution.fourierInv_toTemperedDistributionCLM_eq, OpenPartialHomeomorph.map_extend_nhdsWithin_eq_image, IsBoundedLinearMap.differentiableAt, hasStrictFDerivAt_const_add_iff, ModularForm.mul_slash_SL2, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, isConformalMap_conj, LinearMap.mkContinuous₂_norm_le', hasStrictFDerivAt_apply, differentiableWithinAt_finCons', ContinuousMultilinearMap.norm_mkPiRing, differentiableAt_comp_const_add, fderiv_snd, ModelWithCorners.continuous_invFun, LinearIsometryEquiv.hasStrictFDerivAt, Bundle.Trivial.continuousLinearEquivAt_trivialization, EuclideanGeometry.dist_smul_vadd_sq, SchwartzMap.lineDerivOpCLM_eq, deriv_sub_const_fun, real_inner_div_norm_mul_norm_eq_neg_one_iff, TensorProduct.enorm_lid, ConformalAt.differentiableAt, AnalyticOn.continuousOn, Orientation.oangle_ne_zero_and_ne_pi_iff_linearIndependent, differentiableAt_comp_neg, Orientation.oangle_add, MeasureTheory.condExpInd_of_measurable, MeromorphicAt.fun_iterated_deriv, hasDerivWithinAt_Iio_iff_Iic, SeparationQuotient.instNormOneClass, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm', LinearMap.mkContinuous₂_apply, TensorProduct.inner_tmul, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Bundle.ContMDiffRiemannianMetric.contMDiff, NormedAddCommGroup.cauchy_series_of_le_geometric'', Bundle.mdifferentiableAt_proj, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, SeparationQuotient.liftNormedAddGroupHom_normNoninc, SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod, ModularForm.smul_slash, ProbabilityTheory.IsGaussian.memLp_id, LinearIsometryEquiv.comp_fderiv, MeasureTheory.condExpL1_smul, ContinuousLinearMap.isBigO_comp, ContinuousAlternatingMap.opNorm_prod, MonotoneOn.intervalIntegral_slope_le, LeftInvariantDerivation.lift_zero, ProbabilityTheory.isGaussian_iff_gaussian_charFun, MeasureTheory.Lp.instIsScalarTower, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, DomAddAct.mk_vadd_indicatorConstLp, tendsto_const_sub_cobounded, ProperCone.innerDual_le_innerDual, LinearMap.mkContinuousOfExistsBound_apply, Filter.EventuallyEq.derivWithin_eq_of_nhds, exists_contMDiffMap_zero_one_of_isClosed, locallyLipschitz_neg_iff, OrthonormalBasis.orthogonalProjection_eq_sum, hasDerivWithinAt_ofNat, LinearIsometryEquiv.coe_symm_toIsometryEquiv, ContinuousLinearMap.analyticWithinAt_bilinear, Complex.restrictScalars_one_smulRight', ProbabilityTheory.IdentDistrib.memLp_iff, MeasureTheory.aestronglyMeasurable_condExpInd, MeasureTheory.LipschitzWith.integrable_comp_iff_of_antilipschitz, Matrix.frobeniusIsBoundedSMul, Real.Angle.toReal_add_of_sign_eq_neg_sign, ContinuousLinearMap.compSL_apply, MeasureTheory.mem_lpMeasSubgroup_iff_aestronglyMeasurable, ContinuousLinearMap.continuous₂, MeasureTheory.Martingale.smul, HasFPowerSeriesWithinAt.comp_sub, Orientation.oangle_add_swap, ContinuousLinearEquiv.differentiable, ContinuousLinearMap.opNorm_prod, hasDerivWithinAt_add_const_iff, contMDiffAt_extend, ContinuousLinearMap.integral_compLp, FormalMultilinearSeries.comp_partialSum, mellin_eq_fourier, CuspFormClass.holo, SchwartzMap.instLineDerivLeftSMulReal, LinearMap.adjoint_adjoint, HasFTaylorSeriesUpTo.differentiable, CStarRing.norm_unitary_smul, Asymptotics.isTheta_completion_right, ContinuousLinearMap.norm_inr_le_one, AnalyticOnNhd.smul, TensorProduct.ext_iff_inner_left, MeasureTheory.Measure.addHaar_image_continuousLinearMap, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, ContDiffMapSupportedIn.coe_add, MeasureTheory.IntegrableOn.of_subsingleton, differentiableOn_star_iff, InnerProductSpace.toLinearIsometry_toDual, MeasureTheory.norm_indicatorConstLp_le, SchwartzMap.integral_sesq_fourier_fourier, PowerSeries.IsRestricted.smul, BoundedContinuousFunction.coe_zsmul, NormedAddGroupHom.completion_def, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, InnerProductSpace.span_gramSchmidtNormed, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, QuadraticMap.lineDeriv, hasStrictDerivAt_intCast, segment_subset_closedBall_right, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, LeftInvariantDerivation.leibniz, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, hasFDerivAt_iff_hasGradientAt, ConvexOn.le_slope_of_hasDerivAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, MeasureTheory.Measure.addHaar_sphere, MeasureTheory.eLpNormEssSup_const_smul, smooth_barycentric_coord, contMDiffWithinAt_iff_target, StrictConvexOn.slope_lt_leftDeriv, ContinuousMultilinearMap.cpolynomialOn, LinearIsometry.norm_compContinuousAlternatingMap, MeasureTheory.hausdorffMeasure_segment, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, curveIntegral_smul, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric, FDerivMeasurableAux.isOpen_A, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_1, UnitAddTorus.coe_mFourierBasis, Orientation.inner_rotation_pi_div_two_right_smul, extDeriv_constOfIsEmpty, Bundle.contMDiffOn_zeroSection, Orientation.oangle_add_left_smul_rotation_pi_div_two, Bundle.Trivial.symmL_trivialization, iteratedDeriv_fun_sum, Submodule.orthogonalDecomposition_symm_apply, Asymptotics.IsEquivalent.add_const_of_norm_tendsto_atTop, MeasureTheory.integral_smul_nnreal_measure, VectorBundleCore.toFiberBundleCore_indexAt, ExistsContDiffBumpBase.u_support, hasSum_iff_tendsto_nat_of_summable_norm, LinearIsometry.nnnorm_toContinuousLinearMap, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, InnerProductSpace.rankOne_one_left_eq_innerSL, ContDiff.fderiv_succ, ConvexOn.rightDeriv_le_slope_of_mem_interior, MeasureTheory.Measure.isUnifLocDoublingMeasureOfIsAddHaarMeasure, Submodule.IsOrtho.starProjection_comp_starProjection, ContDiffBump.normed_sub, ContMDiffMap.coeFnAlgHom_apply, tendsto_const_add_cobounded, Complex.circleTransformDeriv_eq, Asymptotics.isLittleO_completion_left, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, ContinuousAffineMap.fderiv, iteratedDeriv_fun_add, DiffContOnCl.add_const, MeasureTheory.aefinStronglyMeasurable_iff_aemeasurable, ContinuousLinearMap.continuous_det, HasFiniteFPowerSeriesAt.neg, IsometryEquiv.toRealLinearIsometryEquiv_symm_apply, LinearIsometry.lipschitz, SmoothBumpFunction.support_eq_symm_image, isSeparable_range_derivWithin, PiTensorProduct.mapLMonoidHom_apply, Complex.kahler, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, ClosedSubmodule.toSubmodule_orthogonal_eq, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.norm_constOfIsEmpty, IsBoundedBilinearMap.hasFDerivAt, fderivWithin_comp_add_left, MeasureTheory.Measure.integral_comp_mul_right, LinearIsometry.diam_image, ContinuousLinearMap.sSup_unit_ball_eq_norm, SchwartzMap.inner_fourier_toL2_eq, ProbabilityTheory.IdentDistrib.integrable_iff, Complex.areaForm, Function.locallyFinsuppWithin.toClosedBall_support_subset_closedBall, SchwartzMap.toLp_fourierTransformInv_eq, intervalIntegral.inv_smul_integral_comp_div_add, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, MeromorphicOn.divisor_fun_smul, MeasureTheory.L2.inner_indicatorConstLp_eq_inner_setIntegral, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, ContinuousLinearMap.analyticWithinAt, ContinuousAffineMap.differentiableWithinAt, ContDiffWithinAt.contMDiffWithinAt, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, Real.fourierIntegralInv_eq', AffineMap.hasDerivAtFilter, Asymptotics.isLittleO_completion_right, Monotone.locallyIntegrable, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, SlashInvariantForm.slash_action_eq', LinearMap.IsPositive.ne_zero_iff, HasCompactSupport.integral_Ioi_deriv_eq, SchwartzMap.add_apply, hasFDerivAtFilter_pi, ModularForm.mul_slash, OpenPartialHomeomorph.contDiff_unitBallBall_symm, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, curveIntegrable_segment, ContDiffOn.smul_const, Real.Angle.sin_add_pi_div_two, OpenPartialHomeomorph.map_extend_nhds_of_boundaryless, WithLp.prod_nndist_eq_of_L2, LinearMap.isPositive_adjoint_comp_self, Manifold.IsImmersionAt.map_target_subset_target, BoundedContinuousFunction.algebraMap_apply, Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, continuousSMul_sphere_sphere, iteratedDeriv_succ, intervalIntegral.integral_derivWithin_uIcc_of_contDiffOn_uIcc, mdifferentiableWithinAt_totalSpace, hasFTaylorSeriesUpToOn_top_iff_right, MeasureTheory.charFunDual_apply, contMDiffWithinAt_vectorSpace_iff_contDiffWithinAt, ContinuousLinearMap.IsPositive.inner_left_eq_inner_right, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, Real.Angle.cos_add, smoothSheafCommRing.nonunits_stalk, BoundedContinuousFunction.norm_compContinuous_le, LinearIsometry.isComplete_image_iff', HasFPowerSeriesWithinOnBall.hasSum_sub, MeasureTheory.isTightMeasureSet_of_tendsto_measure_norm_gt, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, deriv_mem_iff, ProbabilityTheory.hasGaussianLaw_iff_charFunDual_map_eq, ContDiff.iteratedFDeriv_right, norm_add_eq_iff_real, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, ContinuousLinearMap.norm_inl_le_one, HasSolidNorm.continuousInf, MeasureTheory.norm_condExpL2_le, contDiffAt_norm_smul_iff, ProbabilityTheory.IsGaussian.integrable_dual, ContinuousLinearEquiv.contDiff_comp_iff, AlternatingMap.continuous_of_bound, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, SemilinearIsometryClass.ediam_image, InnerProductSpace.isIdempotentElem_rankOne_self, MeasureTheory.Lp.instIsOrderedAddMonoid, Metric.contractibleSpace_ball, ContDiffMapSupportedIn.iteratedFDerivLM_apply, MeasureTheory.weightedSMul_apply, ContinuousMultilinearMap.norm_map_snoc_le, ContDiffMapSupportedInClass.instContinuousMapClass, ImplicitFunctionData.isInvertible_fderiv_prodFun, Trivialization.continuousLinearMapAt_apply, ApproximatesLinearOn.lipschitz, tendsto_cobounded_iff_meromorphicOrderAt_neg, MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, mdifferentiableOn_iff, CurveIntegrable.symm, ContinuousLinearMap.continuous_integral_comp_L1, ContinuousLinearMap.isBigOWith_sub, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, Orientation.tan_oangle_add_left_smul_rotation_pi_div_two, ContDiff.hasStrictFDerivAt, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Meromorphic.deriv, HasFTaylorSeriesUpTo.cont, ImplicitFunctionData.isCompl_ker, ContinuousLinearMap.hasDerivAtFilter, Asymptotics.isLittleO_const_iff, MeasureTheory.Lp.edist_def, Real.fourierIntegral_eq, mdifferentiableWithinAt_iff_of_mem_maximalAtlas, StrictConvexOn.deriv_lt_slope, Finset.analyticAt_fun_sum, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, BoundedContinuousFunction.mkOfCompact_star, Submodule.re_inner_starProjection_eq_normSq, ContinuousLinearMap.iSup_rayleigh_eq_iSup_rayleigh_sphere, ModelWithCorners.symm_continuousWithinAt_comp_right_iff, AffineSpace.cobounded_eq_iSup_sphere_asymptoticNhds, ProperCone.innerDual_univ, FiniteDimensional.proper_rclike, HasFPowerSeriesOnBall.add, OnePoint.isBoundedAt_iff_exists_SL2Z, Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, MeasureTheory.inner_condExpL2_left_eq_right, MeasureTheory.integral_unique, singleton_sub_ball, setIntegral_withDensity_eq_setIntegral_smul₀, ContinuousMap.toLp_denseRange, AnalyticOnNhd.compContinuousLinearMap, NormedAddCommGroup.cauchy_series_of_le_geometric', intervalIntegral.intervalIntegral_eq_integral_uIoc, not_bounded_iff_exists_ne_zero_mem_asymptoticCone, derivWithin_const, ZLattice.covolume_eq_det_inv, dist_partial_sum, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, BoxIntegral.HasIntegral.sum, differentiableWithinAt_neg_iff, MeasureTheory.Lp.coeFn_add, ODE.FunSpace.isUniformInducing_toContinuousMap, contDiffWithinAtProp_self, ContDiffAt.contMDiffAt, ContDiffBump.support_normed_eq, circleIntegrable_iff, Real.Angle.toCircle_add, hasFDerivAt_stereoInvFunAux, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, MeasureTheory.Martingale.stronglyAdapted, ContinuousLinearMap.comp_memLp, mdifferentiable_iff_target, NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded, Real.fderiv_fourierChar_neg_bilinear_right_apply, LinearMap.IsSymmetric.diagonalization_apply_self_apply, BoundedContinuousFunction.char_neg, IsBoundedBilinearMap.continuous_left, LinearMap.IsPositive.re_inner_nonneg_right, MeasureTheory.Lp.eq_zero_iff_ae_eq_zero, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, norm_iteratedFDeriv_mul_le, ContDiffAt.fderiv_right_succ, ImplicitFunctionData.hasStrictFDerivAt_leftFun, contMDiffAt_iff_source, Submodule.starProjection_orthogonal', NormedSpace.isBounded_iff_subset_smul_ball, WeakFEPair.hf_modif_int, lp.coeFn_star, hasFPowerSeriesOnBall_pi_iff, LinearIsometryEquiv.antilipschitz, ContinuousLinearMap.IsPositive.toLinearMap, MeasureTheory.Lp.ext_iff, ContinuousLinearMap.norm_compLp_le, Submodule.toLinearEquiv_orthogonalDecomposition, ImplicitFunctionData.map_pt_mem_toOpenPartialHomeomorph_target, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, continuousOn_dslope, ContinuousLinearEquiv.symm_toDiffeomorph, ImplicitFunctionData.pt_mem_toPartialHomeomorph_source, ContDiffBump.eventuallyEq_one, DilationEquiv.smulTorsor_symm_apply, ContDiffMapSupportedIn.structureMapCLM_apply, StrictConcaveOn.lt_slope_of_hasDerivAt, OrthonormalBasis.toBasis_tensorProduct, TensorProduct.congrIsometry_refl_refl, eventually_enorm_mfderivWithin_symm_extChartAt_lt, ContinuousAlternatingMap.opNNNorm_pi, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', MeasureTheory.UniformIntegrable.uniformIntegrable_of_ae_tendsto, LipschitzWith.ae_lineDeriv_sum_eq, tangentMap_chart, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, SeparationQuotient.norm_liftNormedAddGroupHom_apply_le, infEdist_thickening, Orientation.areaForm_le, MeasureTheory.isTightMeasureSet_iff_inner_tendsto, diam_smul₀, setIntegral_withDensity_eq_setIntegral_toReal_smul, AddCircle.coe_real_preimage_closedBall_eq_iUnion, MeasureTheory.Lp.indicatorConstLp_compMeasurePreserving, deriv_comp_const_sub, LeftInvariantDerivation.coe_derivation, TensorProduct.enorm_comm, innerSL_apply_apply, MeasureTheory.Lp.coeFn_const, Submodule.isOrtho_sup_right, HasGradientAt.continuousOn, extChartAt_target_eventuallyEq, HasFPowerSeriesWithinOnBall.restrictScalars, TangentBundle.symmL_trivializationAt, NormedSpace.isVonNBounded_iff, SmoothPartitionOfUnity.locallyFinite, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, MeasureTheory.IntegrableOn.of_finite, LipschitzWith.lipschitzWith_compLp, aemeasurable_smul_const, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, exists_smooth_one_nhds_of_subset_interior, ContinuousWithinAt.extChartAt_symm_preimage_inter_range_eventuallyEq, HasFTaylorSeriesUpTo.hasFDerivAt, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, MeasureTheory.norm_indicatorConstLp, ContMDiffWithinAt.mfderivWithin_const, MeasureTheory.Measure.toSphere_apply_aux, Orientation.neg_rotation, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, GaussianFourier.integral_cexp_neg_mul_sq_norm, map_extChartAt_symm_nhdsWithin, inner_eq_norm_mul_iff, closedBall_sub_singleton, Sbtw.oangle_eq_add_pi_left, differentiable_fun_neg_iff, tendsto_smul_comp_nat_floor_of_tendsto_mul, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, NormedSpace.image_isVonNBounded_iff, ContinuousMap.range_toLp, NormedSpace.sphere_nonempty_rclike, contMDiff_addInvariantVectorField, eqOn_dslope_sub_smul, Submodule.orthogonalProjection_mem_subspace_eq_self, ContinuousLinearMap.nnnorm_def, ContinuousLinearMap.IsPositive.inner_nonneg_right, SmoothPartitionOfUnity.nonneg, LeftInvariantDerivation.left_invariant', StrictConcaveOn.slope_lt_rightDeriv, FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius, ContinuousLinearMap.norm_compContinuousMultilinearMap_le, FormalMultilinearSeries.le_changeOriginSeries_radius, Orientation.volumeForm_neg_orientation, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, derivWithin_fderivWithin, closure_thickening, Complex.nndist_self_conj, WithLp.isBoundedSMulSeminormedAddCommGroupToProd, derivWithin_natCast, MeasureTheory.L1.ofReal_norm_eq_lintegral, ContinuousMap.dist_le_two_norm, AntitoneOn.memLp_isCompact, OpenPartialHomeomorph.continuousOn_univBall_symm, Set.instTietzeExtensionUnitBall, MeasureTheory.condExpIndL1Fin_smul, LinearMap.mkContinuous_apply, MultilinearMap.mkContinuousMultilinear_apply, ContinuousMap.norm_le, instIsAddHaarMeasureVolume, Trivialization.mdifferentiableOn_section_baseSet_iff, InnerProductSpace.span_gramSchmidtNormed_range, SlashInvariantForm.quotientFunc_mk, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, Submodule.orthogonal_disjoint, InnerProductGeometry.angle_smul_right_of_pos, TemperedDistribution.lineDerivOp_fourier_eq, WeakFEPair.symm_Λ₀_eq, ContDiffPointwiseHolderAt.isBigO, PadicInt.norm_mahlerTerm, ModularForm.SL_slash, WithLp.instCompleteSpace, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, AnalyticOn.comp_sub, StrictConvexOn.rightDeriv_lt_slope, SchwartzMap.decay', Module.Basis.ofZLatticeBasis_apply, ContinuousLinearMap.image_rayleigh_eq_image_rayleigh_sphere, ContinuousAlternatingMap.map_insertNth, Submodule.Quotient.instIsBoundedSMul, intervalIntegral.integral_comp_sub_div, FormalMultilinearSeries.derivSeries_coeff_one, VonNeumannAlgebra.ext_iff, mdifferentiableOn_extChartAt, Submodule.starProjection_add_starProjection_orthogonal, contMDiff_neg_sphere, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, instIsZLatticeComap, not_differentiableAt_norm_zero, mdifferentiableOn_symm_coordChangeL, ContinuousLinearMap.opNorm_lsmul_apply_le, intervalIntegral.integral_comp_mul_left, LipschitzWith.ae_exists_fderiv_of_countable, AnalyticAt.fun_const_smul, MeasureTheory.Lp.dist_def, closedBall_sub_ball, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, ContinuousMap.norm_coe_le_norm, Submodule.mem_orthogonal_singleton_iff_inner_right, MeasureTheory.Lp.aestronglyMeasurable, intervalIntegral.integral_comp_mul_sub, SchwartzMap.bilinLeftCLM_apply, derivWithin_congr, ODE.FunSpace.range_toContinuousMap, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, TangentBundle.coe_chartAt_fst, derivWithin_comp_const_sub, IsHilbertSum.linearIsometryEquiv_symm_apply, SmoothBumpCovering.exists_immersion_euclidean, IsOpen.exists_msmooth_support_eq, OrderedFinpartition.norm_applyOrderedFinpartition_le, OpenPartialHomeomorph.tendsto_extend_comp_iff, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, AffineMap.hasDerivWithinAt, Submodule.starProjection_singleton, HasFPowerSeriesAt.eventually_hasSum, SmoothPartitionOfUnity.locallyFinite', MeasureTheory.lpMeasSubgroupToLpTrim_neg, torusIntegral_add, instSMulCommClass_sphere_sphere_sphere, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, MeasureTheory.Lp.simpleFunc.uniformContinuous, Orientation.tan_oangle_add_right_smul_rotation_pi_div_two, MeasureTheory.locallyIntegrableOn_const, hasStrictFDerivAt_snd, NormedSpace.toIsBoundedSMul, CPolynomialAt.add, HasFPowerSeriesAt.neg, ContinuousLinearMap.measurable, LinearIsometryEquiv.coe_symm_toHomeomorph, MeasureTheory.Lp.memLp, CPolynomialOn.iterated_deriv, ContDiff.continuous_deriv_one, EuclideanGeometry.orthogonalProjection_contLinear, curveIntegralFun_smul, MeasureTheory.Lp.nnnorm_def, OpenPartialHomeomorph.map_extend_nhdsWithin_eq_image_of_subset, Module.Basis.exists_opNorm_le, ClosedSubmodule.mem_orthogonal', ContDiffWithinAt.eventually, meromorphicOrderAt_add_of_ne, egauge_ball_le_of_one_lt_norm, fourierIntegral_gaussian_innerProductSpace', MeasureTheory.Martingale.integrable, ContinuousAffineMap.differentiable, ProbabilityTheory.integral_gaussianReal_eq_integral_smul, MeasureTheory.charFun_toDual_symm_eq_charFunDual, QuotientAddGroup.norm_mk_eq_zero_iff_mem_closure, hasDerivWithinAt_iff_isLittleO, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, derivWithin_fun_const_smul_field, MeasureTheory.Measure.instIsAddLeftInvariantMeasure, mdifferentiableWithinAt_iff_target_inter, ModelWithCorners.mdifferentiableOn_symm, differentiableWithinAt_fun_neg_iff, InnerProductSpace.canonicalCovariantTensor_eq_sum, Bundle.contMDiffWithinAt_zeroSection, ContinuousAlternatingMap.piLIE_apply_apply, BoundedContinuousFunction.coe_neg, lintegral_fderiv_lineMap_eq_edist, ContinuousLinearMap.isBigOWith_id, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, curveIntegrable_fun_neg_iff, hasDerivWithinAt_zero, Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two, MonotoneOn.intervalIntegrable, ContDiffAt.hasStrictDerivAt, contMDiff_mulInvariantVectorField, ContinuousLinearEquiv.coe_toDiffeomorph_symm, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, TensorProduct.ext_iff_inner_right_threefold', MeasureTheory.lpMeasSubgroupToLpTrim_ae_eq, tangentCoordChange_def, signedDist_right_congr, CurveIntegrable.zero, SemilinearIsometryClass.ediam_range, ContinuousMultilinearMap.contDiffAt, hasDerivAtFilter_ofNat, ProbabilityTheory.hasGaussianLaw_iff_charFun_map_eq, BoundedContinuousFunction.coe_normComp, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, MeasureTheory.memLp_indicator_const, TensorProduct.toLinearEquiv_lidIsometry, HasFPowerSeriesOnBall.restrictScalars, GaussianFourier.integral_cexp_neg_mul_sq_norm_add, LinearMap.toContinuousLinearMap₁_coe, ContinuousLinearMap.opNNNorm_le_iff, derivWithin_zero_of_frequently_const, ContinuousLinearMap.isometry_mul_flip, ZSpan.smul, Meromorphic.fun_sum, AnalyticOnNhd.eval_linearMap', NormedAddCommGroup.norm_toCompl, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, Module.Basis.ofZLatticeComap_apply, map_extChartAt_symm_nhdsWithin', conformal_const_smul, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, ContinuousLinearMap.adjoint_id, NormedAddGroupHom.zero_completion, ClosedSubmodule.inf_orthogonal, NormedAddCommGroup.summable_imp_tendsto_iff_completeSpace, lp.coeFnAddMonoidHom_apply, ContDiffWithinAt.fun_smul, balanced_ball_zero, iteratedFDerivWithin_succ_eq_comp_left, ContinuousLinearMap.isPositive_natCast, ContinuousMultilinearMap.opNorm_zero_iff, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, LipschitzWith.memLp_comp_iff_of_antilipschitz, continuousAt_extChartAt, Summable.of_nnnorm_bounded, hasFDerivWithinAt_comp_smul_iff_smul, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Submodule.starProjection_comp_starProjection_eq_zero_iff, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, FDerivMeasurableAux.differentiable_set_subset_D, sum_cauchyPowerSeries_eq_integral, MeasureTheory.condExpIndL1_add, coe_neg_closedBall, Submodule.subtypeₗᵢ_toContinuousLinearMap, SchwartzMap.laplacianCLM_eq, CStarModule.innerSL_apply, instContinuousNegElemBallOfNat, MeromorphicOn.fun_smul, LinearIsometryEquiv.conjStarAlgEquiv_apply, MeasureTheory.smul_convolution, Bundle.ContinuousLinearMap.vectorBundle, Real.vector_fourierIntegral_eq_integral_exp_smul, PadicInt.mahlerTerm_apply, iteratedFDerivWithin_comp_add_right', LinearMap.toMatrixOrthonormal_reindex, contDiff_one_iff_fderiv, MeasureTheory.ConvolutionExistsAt.integrable, VectorBundleCore.mem_localTriv_target, IsLocalFrameOn.contMDiffAt_of_coeff, UnitAddTorus.mFourierSubalgebra_closure_eq_top, contMDiff_equivTangentBundleProd_symm, IsBoundedLinearMap.differentiableWithinAt, Real.fourier_real_eq_integral_exp_smul, MeasureTheory.norm_indicatorConstLp_top, Asymptotics.IsEquivalent.tendsto_const, nndist_smul₀, InnerProductGeometry.angle_smul_left_of_neg, MeasureTheory.integral_tilted, ContDiffAt.laplacian_CLM_comp_left, hasLineDerivAt_iff_isLittleO_nhds_zero, LinearIsometryEquiv.toHomeomorph_symm, Function.HasTemperateGrowth.sum, Complex.differentiableOn_dslope, IntervalIntegrable.zero, smul_unitClosedBall, TestFunction.continuous_iff_continuous_comp, continuous_of_linear_of_boundₛₗ, HasFiniteFPowerSeriesOnBall.sum, MeasureTheory.UniformIntegrable.integrable_of_tendstoInMeasure, MeasureTheory.L1.integral_smul, LocallyBoundedVariationOn.ae_differentiableWithinAt, MeasureTheory.Measure.toSphere_real_apply_univ, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, LinearMap.IsSymmetricProjection.ext_iff, ContinuousLinearMap.ebound, NormedAddGroupHom.instContinuousMapClass, LinearIsometry.isEmbedding, InnerProductSpace.inner_left_rankOne_apply, contDiff_zero, TestFunction.toBoundedContinuousFunctionCLM_apply, Conformal.const_smul, MeasureTheory.Lp.instFourierInvSMul, hasFDerivWithinAt_sub_const_iff, ClosedSubmodule.orthogonal_injective, Orientation.oangle_neg_right, ContinuousAlternatingMap.norm_def, ContinuousLinearEquiv.hasTemperateGrowth, stronglyMeasurable_derivWithin_Ioi, SchwartzMap.fderivCLM_apply, ContinuousLinearMap.smul_compLp, Asymptotics.IsLittleO.tendsto_zero_of_tendsto, isOpen_extChartAt_target, hasMFDerivAt_extChartAt, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.norm_extendTo𝕜, ContinuousLinearMap.contMDiff, OpenPartialHomeomorph.extend_target_mem_nhdsWithin, ContinuousLinearMap.mdifferentiable, StrictConcaveOn.slope_lt_derivWithin, LinearIsometry.id_toContinuousLinearMap, HasSum.hasSum_at_zero, HasFPowerSeriesAt.add, differentiableWithinAt_sub_const_iff, VectorBundleCore.coordChange_self, Metric.contractibleSpace_closedBall, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, fderiv_const_smul_field, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, instContMDiffAddSelf, LinearIsometry.map_starProjection', MeromorphicOn.fun_add, polynomialFunctions.starClosure_topologicalClosure, threeAPFree_sphere, AddCircle.integral_haarAddCircle, WithCStarModule.inner_def, InnerProductSpace.HarmonicAt.const_smul, eventually_nhds_norm_smul_sub_lt, CircleIntegrable.const_smul, LinearIsometryEquiv.coe_toAffineIsometryEquiv, exists_dist_slope_lt_pairwiseDisjoint_hasSum, LinearIsometry.coe_toContinuousLinearMap, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, PointwiseConvergenceCLM.tendsto_nhds, Submodule.symmetric_isOrtho, iteratedDeriv_scomp_three, ContDiffAt.continuousAt_fderiv, hasDerivWithinAt_pi, MeromorphicOn.add, smoothSheafCommRing.instLocalRing_stalk, Orientation.oangle_smul_left_of_neg, NormedSpace.isVonNBounded_ball, map_extChartAt_symm_nhdsWithin_range', deriv_const', norm_smul_inv_norm, ContinuousLinearEquiv.comp_hasFDerivAt_iff, tendstoUniformly_tsum_nat, Real.Angle.continuousAt_sign, ContinuousLinearMap.eq_adjoint_iff, Orientation.norm_div_cos_oangle_add_left_of_oangle_eq_pi_div_two, RealNormedSpace.noncompactSpace, modelWithCornersSelf_coe_symm, MeasureTheory.L2.inner_def, deriv.star, ContDiffAt.fderiv_succ, Orientation.volumeForm_map, ContMDiffVectorBundle.pullback, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, MeasureTheory.Measure.addHaar_ball_of_pos, SchwartzMap.toLpCLM_apply, dist_birkhoffSum_birkhoffSum_le, LinearMap.IsSymmetric.directSum_decompose_apply, TangentBundle.symmL_trivializationAt_eq_core, interior_closedBall, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, ZeroAtInftyContinuousMap.instNormedStarGroup, Homeomorph.contDiff_unitBall, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, ContinuousLinearMap.IsPositive.smul_of_nonneg, fderiv_add_const, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, InnerProductSpace.rankOne_apply, isClosed_nonneg, IntervalIntegrable.comp_sub_left_iff, Orientation.oangle_add_right_eq_arcsin_of_oangle_eq_pi_div_two, Unitary.coe_linearIsometryEquiv_apply, BoxIntegral.integral_add, ModularForm.prod_slash_sum_weights, Submodule.reflection_singleton_apply, MeasureTheory.condExpIndL1Fin_add, smul_unitClosedBall_of_nonneg, HasFTaylorSeriesUpToOn.zero_eq', BoxIntegral.HasIntegral.tendsto, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, stereographic'_source, interior_convexHull_nonempty_iff_affineSpan_eq_top, ContDiff.continuous_deriv, NormedSpace.Dual.toWeakDual_continuous, MeasureTheory.Lp.compMeasurePreservingₗ_apply, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, mdifferentiableWithinAt_section, HasFiniteFPowerSeriesAt.finite, MeasureTheory.weightedSMul_nonneg, ConcaveOn.slope_le_of_hasDerivAt, signedDist_left_congr, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, FormalMultilinearSeries.id_apply_one', TangentBundle.continuousLinearMapAt_trivializationAt_eq_core, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, tensorIteratedFDerivTwo_eq_iteratedFDeriv, AnalyticOnNhd.iteratedFDeriv, map_extChartAt_symm_nhdsWithin_range, ContinuousLinearEquiv.contDiffAt_comp_iff, WeakFEPair.h_feq, differentiableAt_smul_iff, ContinuousLinearMap.precompL_apply, differentiableAt_comp_add_const, MeasureTheory.condExpL1_measure_zero, ContinuousLinearEquiv.isBigO_comp, OnePoint.isBoundedAt_iff_forall_SL2Z, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', Module.Basis.parallelepiped_reindex, Submodule.reflection_apply, Real.circleAverage_sum, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegralFun_segment, SchwartzMap.integral_fourierInv_smul_eq, Memℓp.star_mem, SlashInvariantForm.quotientFunc_smul, MeasureTheory.Measure.AddMonoidHom.continuous_of_measurable, map_extChartAt_nhdsWithin', Besicovitch.SatelliteConfig.exists_normalized_aux2, differentiable_finCons', MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, sphere_subset_range_iff_surjective, Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, curveIntegral_neg, MeasureTheory.Measure.addHaar_sphere_of_ne_zero, SchwartzMap.inner_toL2_toL2_eq, HasGradientAt.continuousAt, MeasureTheory.AEEqFun.integrable_iff_mem_L1, MeasureTheory.SimpleFunc.memLp_zero, IsBoundedLinearMap.differentiable, circleIntegral.integral_fun_sum, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, LinearIsometryEquiv.lTensor_apply, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, Metric.isPathConnected_ball, InnerProductSpace.gramSchmidt_def, MeasureTheory.Lp.simpleFunc.isDenseEmbedding, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, CStarMatrix.toCLM_injective, MeasureTheory.integrable_piLp_iff, iteratedFDerivWithin_succ_const, Complex.integral_circleTransform, ContinuousLinearMap.isPositive_self_comp_adjoint, iteratedDeriv_scomp_eq_sum_orderedFinpartition, trivialization_linear, closedBall_add_closedBall, ContinuousLinearMap.hasFPowerSeriesAt, convexOn_univ_dist, Bundle.Trivial.continuousLinearMapAt_trivialization, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, Trivialization.contMDiffOn_symm_trans, hasDerivAt_iff_isLittleO, intervalIntegral.intervalIntegrable_of_integral_ne_zero, LocallyBoundedVariationOn.ae_differentiableAt, dist_sub_sub_le, Unitary.linearIsometryEquiv_coe_apply, NormedSpace.isBounded_iff_subset_smul_closedBall, MeasureTheory.HasFiniteIntegral.tendsto_setIntegral_nhds_zero, LDL.lowerInv_eq_gramSchmidtBasis, ContDiffAt.differentiableAt, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, IsometryEquiv.constVSub_symm_apply, EuclideanGeometry.angle_vadd_const, hasStrictFDerivAt_pi', MeasureTheory.UniformIntegrable.memLp_of_tendstoInMeasure, HasFPowerSeriesOnBall.const_smul, Orientation.abs_volumeForm_apply_of_orthonormal, ContinuousLinearMap.toSesqForm_apply_coe, BoxIntegral.Integrable.dist_integralSum_le_of_memBaseSet, signedDist_linear_apply_apply, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, ContinuousMultilinearMap.curry0_apply, hasFDerivAtFilter_sub_const_iff, norm_iteratedFDerivWithin_zero, neg_ball, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, PiLp.coe_continuousLinearEquiv, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, RealNormedSpace.cobounded_neBot, SchwartzMap.integral_bilin_fourierIntegral_eq, MeasureTheory.Submartingale.integrable, fourier_gaussian_innerProductSpace, DomMulAct.smul_Lp_sub, ValueDistribution.logCounting_add_top_le, analyticOrderAt_add_eq_left_of_lt, mdifferentiableAt_iff, OnePoint.isZeroAt_iff_exists_SL2Z, LinearIsometryEquiv.adjoint_eq_symm, SchwartzMap.toLp_fourierInv_eq, extDeriv_fun_smul, TensorProduct.mapIsometry_id_id, StrictConvexOn.lt_slope_of_hasDerivAt, ContinuousAlternatingMap.toAlternatingMap_curryLeft, IsContDiffImplicitAt.hasFDerivAt, iteratedDerivWithin_eq_iteratedFDerivWithin, Submodule.IsOrtho.orthogonalProjection_comp_subtypeL, LinearMap.IsPositive.isPositive_smul_iff, ContinuousLinearMap.sSup_sphere_eq_nnnorm, analyticOrderAt_smul_eq_top_of_left, NormedSpace.isClosed_polar, infEDist_neg_neg, VectorFourier.fourierPowSMulRight_eq_comp, ContinuousAlternatingMap.le_opNNNorm, IsEquivalent.summable_iff_nat, MeasureTheory.continuous_condExpIndL1, MeasureTheory.charFunDual_eq_charFun_map_one, HasFPowerSeriesOnBall.tendsto_partialSum_prod, hasFDerivWithinAt_pi', EisensteinSeries.E2_slash_action, LinearMap.mkContinuousOfExistsBound_coe, IsHilbertSum.hasSum_linearIsometryEquiv_symm, nndist_add_add_le, MeasureTheory.Lp.nnnorm_eq_zero_iff, continuous_of_linear_of_bound, Submodule.IsOrtho.map_iff, mfderivWithin_projIcc_one, InnerProductSpace.harmonicOnNhd_comp_CLE_iff, sameRay_iff_inv_norm_smul_eq_of_ne, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, cauchySeq_finset_of_summable_norm, norm_sum_lt_of_strictConvexSpace, iteratedDerivWithin_eq_iterate, UniformConvexOn.strictConvexOn, TemperedDistribution.smulLeftCLM_neg, tendstoUniformly_tsum_of_cofinite_eventually, Orientation.oangle_sign_sub_smul_left, MeasureTheory.SimpleFunc.integral_eq_sum_filter, PiTensorProduct.mapL_one, OpenPartialHomeomorph.univUnitBall_symm_apply_zero, contDiffWithinAt_nat, deriv_const_add', ContinuousLinearMap.norm_fst_le, LinearIsometry.preimage_closedBall, IsUltrametricDist.norm_tsum_le, MeasureTheory.Measure.quasiMeasurePreserving_smul, hasFDerivAt_snd, MeasureTheory.dominatedFinMeasAdditive_condExpInd, MeasureTheory.L1.SimpleFunc.integral_add, Complex.nndist_of_im_eq, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, Orientation.rightAngleRotation_def, ContinuousLinearMap.le_opNorm, Function.locallyFinsuppWithin.logCounting_eval_zero, ImplicitFunctionData.range_leftDeriv, ediam_smul_le, Function.HasTemperateGrowth.toTemperedDistribution_apply, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, isScalarTower_sphere_closedBall_closedBall, LinearIsometry.toAffineIsometry_linearIsometry, MeasureTheory.integrable_condExp, ContDiffPointwiseHolderAt.differentiableAt, ZLattice.comap_toAddSubgroup, OpenPartialHomeomorph.univUnitBall_apply_zero, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, compactOperator_topologicalClosure, Submodule.coe_orthogonalDecomposition_symm, MeasureTheory.Lp.finStronglyMeasurable, Convex.cthickening, Real.Angle.sign_two_nsmul_eq_neg_sign_iff, CuspForm.coeHom_apply, PiTensorProduct.mapL_smul, Complex.analyticOnNhd_univ_iff_differentiable, SchwartzMap.integral_sesq_fourier_eq, MDifferentiableWithinAt.differentiableWithinAt_writtenInExtChartAt, BoundedContinuousFunction.coe_toContinuousMapStarₐ, MeasureTheory.aestronglyMeasurable_condExpL2, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, Submodule.orthogonalProjection_bot, isAddHaarMeasure_basis_addHaar, MeasureTheory.charFunDual_pi', ContinuousLinearMap.adjointAux_norm, differentiable_apply, CStarMatrix.norm_def', derivWithin_univ, SchwartzMap.memLp, Submodule.range_starProjection, ContinuousMap.instNormedStarGroup, MeasureTheory.Measure.addHaar_ball_mul, fderiv_neg, ValueDistribution.logCounting_top, MeasureTheory.convolution_smul, ZLattice.module_finite, OpenPartialHomeomorph.continuousAt_extend_symm', LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, NormedAddGroupHom.extension_coe_to_fun, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, ContinuousMap.norm_le_of_nonempty, HasFPowerSeriesAt.differentiableAt, Pi.counit_eq_adjoint, EisensteinSeries.G2_slash_action, WithLp.prod_dist_eq_of_L2, ProbabilityTheory.covarianceBilin_apply_basisFun_self, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.condExpInd_nonneg, ContinuousLinearMap.fpowerSeries_apply_zero, StrictConcaveOn.deriv_lt_slope, SmoothBumpFunction.exists_r_pos_lt_subset_ball, Orientation.areaForm_to_volumeForm, stereoInvFunAux_apply, StrongFEPair.functional_equation, derivWithin.fun_neg, Submodule.exists_add_mem_mem_orthogonal, SeparationQuotient.liftNormedAddGroupHomEquiv_apply, ContinuousAffineMap.norm_def, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, signedDist_le_dist, HasGradientWithinAt.continuousWithinAt, iteratedDeriv_succ', iteratedDerivWithin_one, MeasureTheory.withDensityᵥ_neg', OpenPartialHomeomorph.contDiff_univUnitBall, iteratedDeriv_smul_const, circleIntegral.integral_sub_inv_smul_sub_smul, ExistsContDiffBumpBase.w_compact_support, SchwartzMap.fourier_lineDerivOp_eq, Manifold.IsImmersionAtOfComplement.map_target_subset_target, Asymptotics.IsEquivalent.add_isLittleO, TemperedDistribution.instLineDerivLeftSMulReal, tangentBundle_model_space_coe_chartAt, LindemannWeierstrass.exp_polynomial_approx, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, CStarMatrix.inner_toCLM_conjTranspose_left, Orientation.areaForm_neg_orientation, MeasureTheory.L1.continuous_integral, AffineBasis.interior_convexHull, EuclideanGeometry.inversion_vsub_center, isBoundedBilinearMap_comp, set_smul_sphere_zero, MeasureTheory.uniformIntegrable_iff, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, StrictConcaveOn.slope_lt_deriv, IsBoundedLinearMap.continuous, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, MeasureTheory.Lp.stronglyMeasurable, differentiable_euclidean, SemilinearIsometryClass.continuous, FormalMultilinearSeries.nnnorm_changeOrigin_le, Filter.EventuallyEq.deriv, hasStrictDerivAt_add_const_iff, hasLineDerivWithinAt_smul_iff, ConvexOn.slope_le_deriv, Summable.of_norm, InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two, MeasureTheory.SimpleFunc.memLp_iff_integrable, contMDiffOn_iff_contDiffOn, ExistsContDiffBumpBase.u_continuous, TemperedDistribution.fourierInv_lineDerivOp_eq, MeasureTheory.L1.integrable_coeFn, SchwartzMap.injective_toLp, MeasureTheory.condExpL2_indicator_ae_eq_smul, mfderivWithin_comp_projIcc_one, conformalAt_const_smul, UpperHalfPlane.mdifferentiable_inv_denom, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, InnerProductGeometry.tan_angle_add_mul_norm_of_inner_eq_zero, ImplicitFunctionData.map_pt_mem_toPartialHomeomorph_target, FormalMultilinearSeries.rightInv_removeZero, isCompactOperator_iff_isCompact_closure_image_ball, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, LinearIsometry.toAffineIsometry_toAffineMap, MeromorphicAt.fun_smul, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, SmoothPartitionOfUnity.sum_finsupport', SchwartzMap.smulLeftCLM_real_smul, Real.dimH_univ_eq_finrank, InnerProductSpace.toDualMap_apply_apply, Submodule.le_orthogonal_orthogonal, MeasureTheory.Measure.integral_comp_inv_mul_left, ContDiffBump.measure_closedBall_div_le_integral, Orientation.kahler_eq_zero_iff, nndist_vadd_cancel_right, LinearMap.eq_adjoint_iff_basis_left, curveIntegralFun_trans_aeeq_right, Bundle.contMDiffAt_zeroSection, contDiff_succ_iff_fderiv, BoxIntegral.integralSum_add, PositiveLinearMap.leftMulMapPreGNS_apply, ContinuousLinearMap.opNNNorm_prod, ContinuousLinearEquiv.comp_differentiableOn_iff, WithLp.prod_nndist_eq_of_L1, MeasureTheory.measure_smul_average, contMDiffAt_mulInvariantVectorField, extChartAt_preimage_mem_nhdsWithin', hasMellin_add, preimage_add_sphere, isOpen_cpolynomialAt, InnerProductSpace.HarmonicOnNhd.comp_CLM, ZLattice.rank, Orientation.oangle_sign_sub_smul_right, hasDerivAtFilter_zero, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_norm, ProperCone.innerDual_sUnion, Complex.integral_comp_polarCoord_symm, NormedAddGroupHom.isCentralScalar, smul_closedBall', signedDist_apply_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, ZSpan.quotientEquiv_apply_mk, deriv.fun_neg', Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Orientation.oangle_smul_left_self_of_nonneg, UnitAddTorus.mFourierCoeff_toLp, Manifold.pathELength_def, MeasureTheory.Lp.simpleFunc.stronglyMeasurable, ODE.FunSpace.continuousOn_comp_compProj, iteratedDerivWithin_const_add, SchwartzMap.differentiable, cauchySeq_range_of_norm_bounded, MeasureTheory.Lp.dist_edist, LinearIsometryEquiv.fderiv, Orientation.areaForm_swap, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, ContinuousLinearMap.iInf_rayleigh_eq_iInf_rayleigh_sphere, ContinuousLinearMap.holderₗ_apply_apply, contMDiffWithinAt_prod_module_iff, hasFDerivAt_add_const_iff, taylor_tendsto, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, dslope_sub_smul, ContinuousMultilinearMap.unit_le_opNorm, ext_inner_map, ProbabilityTheory.covarianceOperator_zero, ProbabilityTheory.IsGaussian.memLp_two_id, ContinuousMultilinearMap.curryRight_norm, ContinuousLinearMap.analyticOn_bilinear, MeasureTheory.memLp_const_iff, Submodule.instHasOrthogonalProjectionOfCompleteSpace, ContDiffOn.continuousOn_iteratedDerivWithin, CPolynomialAt.exists_mem_nhds_cpolynomialOn, FDerivMeasurableAux.norm_sub_le_of_mem_A, ContinuousLinearMap.deriv, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, MeasureTheory.convolution_lsmul, TemperedDistribution.instFourierAdd, SemilinearIsometryClass.lipschitz, hasFDerivAt_sub_const_iff, SlashInvariantForm.coe_translate, MeasureTheory.Lp.norm_zero, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, curveIntegral_fun_zero, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, ModelWithCorners.uniqueDiffOn_preimage, LinearMap.nonneg_iff_isPositive, upperClosure_interior_subset, Orientation.kahler_swap, coe_innerSL_apply, ProbabilityTheory.IsGaussian.integrable_fun_id, strongConcaveOn_zero, MeasureTheory.Lp.simpleFunc.sub_toSimpleFunc, integral_withDensity_eq_integral_smul, MeasureTheory.L1.dist_eq_integral_dist, NormedAddGroupHom.norm_completion, intervalIntegral.integral_comp_add_div, LinearMap.IsSymmetric.inner_map_self_eq_zero, ContinuousLinearMap.isCompact_image_coe_closedBall, MeasureTheory.L1.norm_def, OrthonormalBasis.prod_apply, iteratedFDeriv_add_apply, deriv_fderiv, BoundedContinuousFunction.instIsOrderedAddMonoid, InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero, Orientation.rotation_rotation, cauchyPowerSeries_apply, convexHull_diam, Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_pi, curveIntegralFun_symm_apply, cauchySeq_finset_of_norm_bounded_eventually, SeparationQuotient.norm_normedMk_eq_one, LinearIsometryEquiv.coe_toHomeomorph, ContinuousLinearMap.isClosed_image_coe_closedBall, ModelWithCorners.hasMFDerivAt, SeparationQuotient.norm_normedMk_le, instNormedSpaceLieAddGroup, MeasureTheory.integral_condExpL2_eq, HasFPowerSeriesOnBall.coeff_zero, ContinuousLinearMap.instStarOrderedRing, BoxIntegral.HasIntegral.smul, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, TemperedDistribution.instFourierSMul, instIsContinuousRiemannianBundleTrivial, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, VectorBundleCore.localTriv_symm_fst, EuclideanGeometry.oangle_add, HasFPowerSeriesWithinOnBall.differentiableOn, DomAddAct.instIsIsometricVAddSubtypeAEEqFunMemAddAddSubgroupLp, HasMFDerivWithinAt.prodMap, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, mdifferentiableAt_addInvariantVectorField, exists_dist_eq, extChartAt_target_mem_nhdsWithin, hasFPowerSeriesOnBall_const, tendsto_cobounded_of_meromorphicOrderAt_neg, ImplicitFunctionData.pt_mem_toOpenPartialHomeomorph_source, hasFDerivAtFilter_iff_isLittleO, Real.Angle.sin_add_pi, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, TensorProduct.lidIsometry_apply, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, coe_neg_sphere, ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le, ContinuousLinearMap.hasDerivAt, MeasureTheory.Integrable.of_isEmpty, UniqueMDiffOn.uniqueDiffOn_target_inter, MeasureTheory.Measure.integral_comp_smul_of_nonneg, DiffContOnCl.circleIntegral_sub_inv_smul, PadicInt.fwdDiff_tendsto_zero, MeasureTheory.Measure.addHaar_unitClosedBall_eq_addHaar_unitBall, ContMDiff.contMDiff_tangentMap, ContinuousMap.hasFiniteIntegral_of_bound, iteratedFDeriv_sum, LinearMap.IsPositive.inner_nonneg_left, ContinuousMap.norm_eq_iSup_norm, VectorField.mpullback_eq_pullback, ContinuousMultilinearMap.opNorm_smul_le, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, iteratedFDerivWithin_comp_add_left, hasFTaylorSeriesUpTo_zero_iff, ContinuousLinearMap.instCStarRingId, LinearIsometry.isComplete_map_iff, NormedSpace.eq_zero_iff_forall_dual_eq_zero, orthonormal_fourier, hasFDerivAt_finCons, VectorBundleCore.localTrivAt_apply, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, hasFDerivWithinAt_finCons, UpperHalfPlane.contMDiff_coe, norm_injOn_ray_right, hasGradientAt_iff_isLittleO, MeasureTheory.setIntegral_condExpL2_indicator, CuspForm.holo', contMDiff_coe_sphere, InnerProductSpace.nnnorm_rankOne, iteratedDeriv_fun_const_smul, AlternatingMap.coe_mkContinuous, ContinuousMultilinearMap.norm_restr, StrictConvexOn.slope_lt_deriv, ContinuousMultilinearMap.norm_image_sub_le, BoundedContinuousFunction.lintegral_nnnorm_le, ProbabilityTheory.isPosSemidef_covarianceBilin, BoundedContinuousFunction.mem_charPoly, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, stereographic_apply_neg, instCountable_of_discrete_submodule, LinearIsometry.norm_toContinuousLinearMap, OrthonormalBasis.orthogonalProjection_apply_eq_sum, Orientation.kahler_comp_rightAngleRotation, differentiable_snd, BoundedContinuousFunction.charAlgHom_apply, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left, TangentBundle.trivializationAt_fst, LeftInvariantDerivation.comp_L, ae_differentiableAt_norm, IsOpen.exists_contMDiff_support_eq_aux, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, HasGradientWithinAt.differentiableWithinAt, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, TemperedDistribution.delta_apply, modelWithCornersSelf_boundaryless, ContinuousAlternatingMap.curryLeft_apply_apply, NormedSpace.isVonNBounded_closedBall, affinity_unitClosedBall, ContinuousLinearMap.flip_smul, ContinuousLinearMap.contDiffPointwiseHolderAt, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, ContDiffBump.normed_le_div_measure_closedBall_rOut, curveIntegralFun_refl, extChartAt_target_union_compl_range_mem_nhds_of_mem, Bundle.Trivial.vectorBundle, ContDiffMapSupportedIn.coe_smul, Submodule.IsCompl.closedComplemented_of_isClosed, HasFPowerSeriesOnBall.comp_sub, ContinuousLinearEquiv.isBigO_sub, LinearIsometry.edist_map, dist_vsub_cancel_left, BoundedContinuousFunction.coe_posPart, UniformSpace.Completion.nnnorm_coe, AddCircle.ergodic_nsmul_add, MeasureTheory.integrable_prod, InnerProductSpace.isSymmetricProjection_rankOne_self, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, SchwartzMap.continuous, Orientation.volumeForm_zero_pos, Real.Angle.cos_add_pi, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, Metric.diam_closedBall_eq, AnalyticAt.deriv, meromorphicOrderAt_add_eq_left_of_lt, ContinuousLinearEquiv.hasMFDerivAt, contDiffWithinAt_iff_contDiffOn_nhds, MeasureTheory.ConvolutionExistsAt.integrable_swap, tendsto_sub_const_cobounded, SchwartzMap.laplacianCLM_eq', EuclideanGeometry.oangle_add_swap, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, MultilinearMap.coe_mkContinuous, norm_inner_eq_norm_iff, DomAddAct.vadd_Lp_add, Real.circleAverage_eq_circleIntegral, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, meromorphicOrderAt_add, Real.Angle.cos_add_pi_div_two, MeasureTheory.charFunDual_prod, add_mem_ball_iff_norm, ContinuousLinearMap.measurable_apply₂, continuousOn_tangentCoordChange, Submodule.Quotient.completeSpace, convexOn_dist, dist_self_sub_right, Real.Angle.two_nsmul_eq_zero_iff, LinearIsometryEquiv.toIsometryEquiv_injective, preimage_extChartAt_eventuallyEq_compl_singleton, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, SmoothBumpCovering.toSmoothPartitionOfUnity_apply, ContDiff.continuous_fderiv_apply, lp.hasSum_single, FiniteDimensional.RCLike.properSpace_submodule, AffineMap.hasDerivAt_lineMap, Real.Angle.coe_add, Function.hasTemperateGrowth_iff_isBigO, MeasureTheory.integral_smul, TemperedDistribution.instContinuousFourier, mellinInv_eq_fourierIntegralInv, ContinuousMapZero.hasFiniteIntegral_of_bound, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, ContDiffOn.const_smul, MeasureTheory.Integrable.of_integral_ne_zero, Module.Basis.prod_addHaar, differentiableOn_dslope_of_notMem, derivWithin_congr_set', ZSpan.measureReal_fundamentalDomain, EuclideanGeometry.orthogonalProjection_apply', MeasureTheory.condExpIndSMul_empty, SmoothPartitionOfUnity.contDiffAt_finsum, isOpenEmbedding_stereographic_symm, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, HasFPowerSeriesOnBall.fderiv_eq, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, strictConvex_closedBall, mdifferentiableOn_iff_target, MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaar, MeromorphicOn.fun_deriv, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, isBigO_rpow_top_log_smul, NormedSpace.inclusionInDoubleDual_norm_eq, differentiableAt_star_iff, eventually_nnnorm_sub_lt, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, contMDiff_model, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', MeromorphicAt.sum, AffineMap.hasDerivWithinAt_lineMap, ContDiff.continuous, mfderiv_prod_eq_add_comp, TestFunction.coe_smul, has_fderiv_at_filter_real_equiv, aestronglyMeasurable_deriv, RightDerivMeasurableAux.differentiable_set_subset_D, unitary.linearIsometryEquiv_coe_symm_apply, PiTensorProduct.tprodL_toFun, MeasureTheory.setIntegral_condExpInd, Real.circleAverage_fun_sum, ContinuousLinearMap.isPositive_def, ball_add_ball, ContinuousLinearMap.nnnorm_toSpanSingleton, InnerProductGeometry.norm_add_eq_add_norm_of_angle_eq_zero, ContinuousLinearEquiv.hasMFDerivWithinAt, stereo_left_inv, ContinuousAlternatingMap.alternatizeUncurryFin_smul, ContDiffOn.contMDiffOn, contDiffAt_map_inverse, tendsto_integral_exp_smul_cocompact, BoxIntegral.Integrable.to_subbox_aux, Matrix.linftyOpIsBoundedSMul, MeasureTheory.integral_comp_rpow_Ioi_of_pos, EisensteinSeries.summable_of_isBigO_rpow_norm, Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, Complex.dist_self_conj, SchwartzMap.toBoundedContinuousFunctionCLM_apply, curveIntegral_segment, TestFunction.postcompCLM_apply, MeasureTheory.MemLp.of_discrete, hasDerivAt_iff_tendsto_slope_left_right, BoundedContinuousFunction.instStarModule, MeasureTheory.edist_indicatorConstLp_eq_enorm, controlled_closure_of_complete, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, AddCircle.exists_norm_nsmul_le, ContinuousAlternatingMap.norm_restrictScalars, Submodule.starProjection_top', ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, Homeomorph.coe_unitBall_apply_zero, NormedAddGroupHom.completion_sub, OrthonormalBasis.toBasis_mulOpposite, Submodule.adjoint_subtypeL, Metric.isPreconnected_closedEBall, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, OpenPartialHomeomorph.extend_image_target_mem_nhds, QuotientAddGroup.norm_eq_infDist, InnerProductSpace.HarmonicAt.eventually, IsCoercive.range_eq_top, LinearMap.isSymmetric_adjoint_mul_self, InnerProductGeometry.angle_add_le_pi_div_two_of_inner_eq_zero, UpperHalfPlane.contMDiff_inv_denom, Asymptotics.isLittleO_const_id_cobounded, gelfandStarTransform_symm_apply, Sbtw.oangle_eq_add_pi_right, ContinuousLinearMap.norm_smulRightL, hasMFDerivWithinAt_extChartAt, PiLp.nndist_toLp_single_same, Orientation.oangle_eq_zero_iff_sameRay, MeasureTheory.Submartingale.add_martingale, closedBall_add_ball, Submodule.reflection_orthogonalComplement_singleton_eq_neg, PadicInt.coe_addChar_of_value_at_one, ContinuousLinearEquiv.comp_fderiv, derivWithin.neg, MonotoneOn.memLp_of_measure_ne_top, ContinuousLinearMap.isBigO_id, BoundedContinuousFunction.nnnorm_def, ContDiffAt.fderiv_right, AnalyticOn.compContinuousLinearMap, hasStrictFDerivAt_iff_isLittleO, MeasureTheory.convolution_def, contMDiffWithinAt_pi_space, Affine.Triangle.dist_circumcenter_reflection_orthocenter, MeasureTheory.norm_condExpL2_coe_le, ContinuousMultilinearMap.curryLeft_norm, CPolynomialAt.eventually_cpolynomialAt, WithLp.edist_toLp_snd, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, dist_eq, InnerProductSpace.trace_rankOne, ContDiffBump.hasCompactSupport, HasFPowerSeriesOnBall.differentiableOn, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, BoxIntegral.Integrable.toBoxAdditive_apply, MeasureTheory.Submartingale.smul_nonneg, LinearIsometryEquiv.coe_toContinuousLinearEquiv, deriv.neg, ContinuousMultilinearMap.uncurry0_norm, Metric.isPathConnected_closedEBall, BoundedContinuousFunction.bddAbove_range_norm_comp, circleIntegral.integral_add, HasFPowerSeriesWithinOnBall.prod, NormedSpace.normalize_smul, IsBoundedBilinearMap.differentiableOn, MeasureTheory.integrable_withDensity_iff_integrable_smul', ContMDiffVectorBundle.continuousLinearMap, Orientation.angle_eq_iff_oangle_eq_or_sameRay, NormedSpace.eq_iff_forall_dual_eq, mdifferentiableAt_totalSpace, ContinuousLinearEquiv.integral_comp_comm, Matrix.isBoundedSMul, MeasureTheory.aestronglyMeasurable_condExpL1, deriv_zero, ContinuousMultilinearMap.le_opNorm, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, Bundle.Trivial.linearMapAt_trivialization, dist_vadd_cancel_right, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, cauchySeq_finset_iff_vanishing_norm, infEDist_smul₀, mdifferentiable_mulInvariantVectorField, isAddFundamentalDomain_Ioc, hasStrictDerivAt_const_add_iff, iteratedFDeriv_const_smul_apply, SchwartzMap.delta_apply, InnerProductGeometry.angle_eq_zero_iff, isBoundedBilinearMap_compMultilinear, ContinuousLinearEquiv.comp_right_fderiv, AnalyticAt.smul, SchwartzMap.norm_fourier_toL2_eq, hasLineDerivAt_smul_iff, Submodule.isIdempotentElem_starProjection, norm_cauchyPowerSeries_le, differentiableOn_finCons', MeasureTheory.Lp.boundedContinuousFunction_topologicalClosure, MeasureTheory.Lp.SecondCountableTopology, hasFDerivAt_norm_rpow, derivWithin_ofNat, dist_birkhoffAverage_apply_birkhoffAverage, IsSelfAdjoint.isClosed, ContinuousLinearMap.compL_apply, star_isometry, ContinuousLinearMap.lsmul_flip_inj, ContDiffMapSupportedIn.hasCompactSupport, mellinInv_eq_fourierInv, UniqueMDiffOn.uniqueMDiffOn_target_inter, ZSpan.repr_ceil_apply, MeasureTheory.Measure.addHaar_preimage_continuousLinearMap, HasFPowerSeriesOnBall.uniform_geometric_approx, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ProperCone.innerDual_zero, mdifferentiableOn_prod_module_iff, contMDiffAt_iff_source_of_mem_source, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ZLattice.comap_equiv_apply, IsBoundedLinearMap.differentiableOn, sameRay_iff_of_norm_eq, MeasureTheory.Lp.instCompleteSpace, Metric.exists_smooth_forall_closedBall_subset, ContinuousLinearMap.analyticAt, ball_zero_add_singleton, iteratedFDeriv_succ_const, contDiffWithinAt_zero, SmoothBumpFunction.support_eq_inter_preimage, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, ZLattice.FG, MeasureTheory.Martingale.add, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, MeasureTheory.Lp.instFourierPair, fourier_gaussian_innerProductSpace', ContDiffAt.iteratedFDeriv_right, VectorFourier.fourierIntegral_const_smul, continuousWithinAt_dslope_of_ne, HasFTaylorSeriesUpToOn.cont, measurable_deriv, NormedAddGroupHom.completion_coe, ContDiffAt.contDiffAt_norm_smul, Real.fourier_real_eq, ContinuousAlternatingMap.le_opNorm, Asymptotics.IsEquivalent.smul, MulOpposite.isometry_opLinearEquiv, differentiableAt_apply, MeasureTheory.L1.integral_def, FormalMultilinearSeries.hasSum, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, BoundedContinuousFunction.Lp_nnnorm_le, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, signedDist_eq_zero_of_orthogonal, DomMulAct.edist_smul_Lp, hasSum_fourier_series_L2, NormedAddGroupHom.isometry_id, CPolynomialOn.iteratedFDeriv, MeasureTheory.integrable_comp_div_iff, ContinuousLinearMap.isPositive_id, BoundedContinuousFunction.innerProbChar_zero, InnerProductGeometry.angle_add_eq_arctan_of_inner_eq_zero, FormalMultilinearSeries.coeff_eq_zero, Diffeology.instIsDTopologyCompatible, ProbabilityTheory.covarianceBilin_zero, BoxIntegral.Integrable.cauchy_map_integralSum_toFilteriUnion, Ioo_smul_sphere_zero, HasFPowerSeriesOnBall.sum, BoundedContinuousFunction.range_toLpHom, contDiffOn_stereoToFun, Real.finrank_eq_int_finrank_of_discrete, Units.instIsManifoldModelWithCornersSelf, AddCircle.ergodic_add_left, LeftInvariantDerivation.evalAt_coe, derivWithin_const_add, Unitary.coe_symm_linearIsometryEquiv_apply, smul_sphere', LinearIsometryEquiv.diam_image, SchwartzMap.smulLeftCLM_fun_neg, HasFPowerSeriesOnBall.fderiv, LinearMap.adjoint_rTensor, Real.Angle.coe_coeHom, ZSpan.measure_fundamentalDomain, hasGradientAt_iff_isLittleO_nhds_zero, BoundedContinuousFunction.toLp_inj, dist_midpoint_midpoint_le, LinearMap.IsPositive.add, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, HilbertBasis.hasSum_orthogonalProjection, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, LinearMap.adjoint_inner_right, MeasureTheory.mem_lpMeas_indicatorConstLp, iteratedFDeriv_const_smul_apply', InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, PiLp.hasFDerivAt_toLp, stereoInvFun_apply, PiTensorProduct.mapL_coe, locallyLipschitzOn_neg_iff, analyticAt_smul, Filter.EventuallyEq.hasDerivAt_iff, Manifold.IsImmersionAt.writtenInCharts, AnalyticWithinAt.continuousWithinAt, InnerProductSpace.rankOne_eq_zero, ContinuousLinearMap.lipschitz, ProbabilityTheory.isGaussian_map_equiv_iff, Real.fourierIntegral_convergent_iff', BoxIntegral.Integrable.dist_integralSum_integral_le_of_memBaseSet, BoundedContinuousFunction.toLp_injective, MeasureTheory.Measure.addHaar_ball_center, NormedAddCommGroup.denseRange_toCompl, hasDerivAt_deriv_iff, TensorProduct.ext_iff_inner_left_threefold', lp.singleAddMonoidHom_apply, Submodule.isOrtho_sSup_right, LinearIsometry.lTensor_apply, ClosedSubmodule.bot_orthogonal_eq_top, LinearIsometry.norm_compContinuousMultilinearMap, ContinuousAlternatingMap.norm_curryLeft, extChartAt_target_mem_nhdsWithin_of_mem, NormedStarGroup.to_continuousStar, MeasureTheory.integral_indicatorConstLp, MeasureTheory.Measure.toSphere_apply_univ, Submodule.norm_sq_eq_add_norm_sq_starProjection, MeasureTheory.charFunDual_eq_prod_iff, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, MeasureTheory.Measure.integral_comp_smul, MeasureTheory.Lp.coeFn_compMeasurePreserving, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, InnerProductSpace.HarmonicOnNhd.add, Asymptotics.isBigOTVS_iff_isBigO, ContinuousMultilinearMap.isLeast_opNorm, ContDiff.continuous_fderiv, mdifferentiableAt_hom_bundle, setIntegral_withDensity_eq_setIntegral_smul₀', IsLocalFrameOn.mdifferentiableAt_of_coeff_aux, WithLp.prod_edist_eq_of_L2, BoundedContinuousFunction.integrable, innerSL_inj, continuousAt_dslope_same, MeasureTheory.SimpleFunc.memLp_iff_finMeasSupp, MeasureTheory.condExpIndSMul_smul, AffineIsometryEquiv.vaddConst_toAffineEquiv, ball_add_zero, hasDerivAt_add_const_iff, MeasureTheory.Measure.hausdorffMeasure_smul₀, MeasureTheory.ae_ae_add_linearMap_mem_iff, real_inner_div_norm_mul_norm_eq_one_iff, SmoothBumpFunction.tsupport_subset_symm_image_closedBall, TensorProduct.ext_iff_inner_left_threefold, MDifferentiableAt.differentiableWithinAt_writtenInExtChartAt, MeasureTheory.lintegral_nnnorm_condExpL2_le, SmoothPartitionOfUnity.le_one, QuotientAddGroup.norm_mk, MeasureTheory.Lp.compMeasurePreservingₗᵢ_apply_coe, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', AffineSubspace.signedInfDist_eq_signedDist_of_mem, neg_thickening, LinearMap.IsSymmetric.coe_toSelfAdjoint, iteratedDeriv_const_smul, SchwartzMap.norm_fourierTransformCLM_toL2_eq, HasFPowerSeriesWithinAt.coeff_zero, TensorProduct.inner_lid_lid, DiffContOnCl.deriv_eq_smul_circleIntegral, OrthonormalBasis.toBasis_map, ContDiffMapSupportedIn.uniformSpace_eq_iInf, hasFDerivAt_apply, MeasureTheory.enorm_indicatorConstLp_le, MeasureTheory.Lp.norm_neg, LinearMap.IsSymmetric.diagonalization_symm_apply, PiTensorProduct.liftIsometry_tprodL, maximal_orthonormal_iff_basis_of_finiteDimensional, TensorProduct.norm_comm, contDiffWithinAt_iff_of_ne_infty, NormedSpace.inclusionInDoubleDual_norm_le, AnalyticOnNhd.eval_linearMap, stereographic'_target, hasFTaylorSeriesUpToOn_pi', curveIntegral_segment_const, hasDerivWithinAt_one, deriv_comp_add_const, BoundedContinuousFunction.norm_toContinuousMap_eq, Memℓp.finset_sum, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, WeakDual.isCompact_closedBall, MeasureTheory.L1.integral_eq_setToL1, LinearIsometryEquiv.image_sphere, ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, ContinuousLinearMap.isPositive_toLinearMap_iff, Affine.Simplex.signedInfDist_apply_self, BoxIntegral.BoxAdditiveMap.volume_apply, AntitoneOn.integrableOn_isCompact, TangentBundle.trivializationAt_apply, exists_contMDiffMap_zero_one_nhds_of_isClosed, lp.singleContinuousAddMonoidHom_apply, ModelWithCorners.map_nhdsWithin_eq, convexHull_exists_dist_ge, ContDiffBump.normed_convolution_eq_right, continuousSMul_closedBall_ball, MeasureTheory.Lp.nnnorm_neg, LinearMap.norm_mkContinuous₂_aux, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, AddCircle.ergodic_add_right, OrthonormalBasis.tensorProduct_repr_tmul_apply', ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, contMDiffOn_pi_space, PiLp.dist_eq_of_L1, ContinuousLinearMap.derivWithin, IsPicardLindelof.lipschitzOnWith, ContinuousLinearMap.holder_smul_left, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, summable_of_ratio_test_tendsto_lt_one, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, Bundle.TotalSpace.isManifold, isSymmSndFDerivAt_iff_iteratedFDeriv, LinearIsometry.isComplete_image_iff, hasDerivAtFilter_one, EuclideanGeometry.angle_add_const, intervalIntegral.smul_integral_comp_mul_sub, iteratedDerivWithin_smul_const, isScalarTower_sphere_sphere_sphere, ContinuousLinearEquiv.differentiableAt, ProbabilityTheory.IsGaussian.charFun_eq', MeasureTheory.Lp.coeFn_smul, ContMDiffAt.mfderiv_const, ContDiffBumpBase.support, AnalyticOn.domDomCongr_iteratedFDeriv, smoothSheafCommRing.isUnit_stalk_iff, contMDiff_vectorSpace_iff_contDiff, ContDiff.continuous_zero, signedDist_zero, MeasureTheory.condExpL1CLM_indicatorConstLp, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, LinearIsometryEquiv.reflections_generate, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, ContinuousLinearMap.ratio_le_opNorm, fderivWithin_sub_const, Submodule.map_orthogonal_equiv, Orientation.cos_oangle_add_left_of_oangle_eq_pi_div_two, iteratedFDerivWithin_eq_equiv_comp, ContDiffAt.laplacian_add, aestronglyMeasurable_derivWithin_Ioi, MeasureTheory.integrable_comp, hasFDerivAt_prodMk_left, IsContDiffImplicitAt.apply_implicitFunction, AlternatingMap.mkContinuousAlternating_norm_le, MeromorphicOn.fun_iterated_deriv, BoundedContinuousFunction.norm_eq, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, ClosedSubmodule.top_orthogonal_eq_bot, ContDiffWithinAt.const_smul, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, OpenPartialHomeomorph.continuousWithinAt_writtenInExtend_iff, IsBoundedLinearMap.lim_zero_bounded_linear_map, AntitoneOn.memLp_top, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, AddCircle.instIsUnifLocDoublingMeasureRealVolume, eventually_norm_sub_lt, SchwartzMap.norm_iteratedFDeriv_le_seminorm, ProbabilityTheory.covarianceBilinDual_zero, Submodule.norm_orthogonalProjection_apply_le, LinearMap.deriv, BoundedContinuousFunction.memLp_top, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, NormedSpace.polar_ball_subset_closedBall_div, TensorProduct.norm_assoc, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet, EuclideanSpace.instIsManifoldSphere, TensorProduct.nnnorm_tmul, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, iteratedDerivWithin_const_smul_field, norm_fderiv_le_of_lipschitz, tendstoUniformlyOn_tsum, ContDiffMapSupportedIn.zero_on_compl', InnerProductSpace.toDualMap_apply, AnalyticOnNhd.continuous, MeasureTheory.L1.SimpleFunc.coe_negPart, hasFDerivWithinAt_finCons', MeasureTheory.integrableOn_Lp_of_measure_ne_top, OpenPartialHomeomorph.continuousAt_extend, MeasureTheory.Lp.dist_eq_norm, ContDiffOn.continuousOn_zero, TangentBundle.coordChange_model_space, NormedSpace.normalize_smul_of_pos, ContinuousLinearMap.adjoint_inner_left, MeasureTheory.condExpInd_disjoint_union, MeasureTheory.Lp.coeFn_le, PointwiseConvergenceCLM.isInducing_inducingFn, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderiv, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, ValueDistribution.proximity_sum_top_le, iteratedDerivWithin_sum, MeasureTheory.Lp.simpleFunc.add_toSimpleFunc, EuclideanGeometry.oangle_add_cyc3, MeasureTheory.Supermartingale.add_martingale, AlternatingMap.mkContinuous_norm_le, ContinuousLinearMap.isBoundedBilinearMap, WeakFEPair.Λ₀_eq, uniformContinuous_vsub, fdifferential_apply, ContinuousMultilinearMap.opNorm_nonneg, CompactlySupportedContinuousMap.integrable, ball_normSeminorm, InnerProductSpace.AlgebraOfCoalgebra.mul_def, fderivWithin_const_add, MeasureTheory.Submartingale.add, UnitAddTorus.coeFn_mFourierLp, coe_ringEquiv_lpBCF, MeasureTheory.memLp_prod_iff, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, HasLineDerivWithinAt.smul, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, MeasureTheory.Measure.instIsFiniteMeasureElemSphereOfNatRealToSphere, LinearIsometryEquiv.preimage_ball, FormalMultilinearSeries.apply_eq_pow_smul_coeff, cthickening_thickening, FormalMultilinearSeries.le_radius_compContinuousLinearMap, SmoothBumpFunction.contMDiffAt, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, MeasureTheory.setIntegral_condExpIndSMul, ContinuousLinearEquiv.integrable_comp_iff, MeasureTheory.weightedSMul_empty, AnalyticWithinAt.add, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, inv_norm_smul_mem_unitClosedBall, OpenPartialHomeomorph.map_extend_symm_nhdsWithin, Affine.Simplex.mongePlane_def, Orientation.oangle_add_oangle_rev, IsUltrametricDist.norm_tsum_le_of_forall_le, ContinuousLinearMap.IsPositive.isSymmetric, MeasureTheory.indicatorConstLp_univ, ContinuousAlternatingMap.ofSubsingletonLIE_apply, extChartAt_mem_closure_interior, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, UniqueMDiffWithinAt.bundle_preimage', FormalMultilinearSeries.compAlongComposition_bound, HasFiniteFPowerSeriesOnBall.comp_sub, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, ContMDiffMap.smul_comp, ContinuousLinearMap.lipschitz_apply, ContDiff.euclidean_dist, Trivialization.prod.isLinear, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, AnalyticWithinAt.differentiableWithinAt, intervalIntegral.integral_comp_add_mul, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, AnalyticAt.fun_smul, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimage, MeasureTheory.setIntegral_rnDeriv_smul, inTangentCoordinates_eq, cauchySeq_of_le_geometric, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, hasFTaylorSeriesUpToOn_zero_iff, ContinuousMap.linearIsometryBoundedOfCompact_symm_apply, signedDist_triangle_left, ContinuousLinearMap.bilinearComp_zero_right, NormedAddGroupHom.extension_coe, Complex.IsExactOn.differentiableOn, TemperedDistribution.fourier_toTemperedDistributionCLM_eq, LinearMap.IsSymmetric.continuous, IsContMDiffRiemannianBundle.exists_contMDiff, MeasureTheory.Lp.norm_const_le, map_extChartAt_nhds_of_boundaryless, DiffContOnCl.circleIntegral_one_div_sub_center_pow_smul, AnalyticAt.exists_ball_analyticOnNhd, hasDerivAtFilter_add_const_iff, ContDiffMapSupportedIn.zero_on_compl, isBounded_iff_asymptoticCone_subset_singleton, LinearIsometry.extend_apply, BoundedContinuousFunction.norm_le, ProbabilityTheory.instIsGaussianMapHSub, Matrix.exp_nsmul, MeasureTheory.tendsto_indicator_ge, InnerProductSpace.rank_rankOne, Summable.of_nnnorm, MeasureTheory.integrableOn_Ioi_comp_mul_left_iff, ball_add_closedBall, CPolynomialOn.continuous, SmoothBumpCovering.sum_toSmoothPartitionOfUnity_eq, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, Submodule.isOrtho_top_left, AnalyticWithinAt.eventually_analyticWithinAt, gauge_closure_zero, DiffContOnCl.const_smul, MeasureTheory.integral_image_eq_integral_abs_deriv_smul, VectorFourier.fourierIntegral_convergent_iff, extChartAt_preimage_mem_nhds, InnerProductSpace.toDual_apply_apply, Real.Angle.sub_coe_pi_eq_add_coe_pi, ContinuousLinearMap.adjointAux_apply, contMDiff_subtype_coe_Icc, ContinuousLinearMap.nonneg_iff_isPositive, MeasureTheory.Lp.coeFn_negPart_eq_max, integral_comp_polarCoord_symm, coe_lpBCFₗᵢ, ContinuousAffineMap.norm_contLinear_le, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, AntitoneOn.intervalIntegrable, gauge_ball, Real.Angle.sin_eq_iff_coe_eq_or_add_eq_pi, Submodule.linearEquiv_det_reflection, HasFPowerSeriesAt.comp_sub, ProperCone.innerDual_singleton, MeasureTheory.SimpleFunc.memLp_iff, ExistsContDiffBumpBase.w_support, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_left, Submodule.IsOrtho.map, LinearIsometryEquiv.comp_differentiableOn_iff, LinearIsometryEquiv.comp_differentiableAt_iff, differentiable_inner, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, VectorBundleCore.baseSet_at, MeasureTheory.IsFundamentalDomain.integrableOn_iff, HasLineDerivAt.tendsto_slope_zero_left, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, tendsto_nhds_iff_meromorphicOrderAt_nonneg, ContDiffWithinAt.continuousLinearMap_comp, infEDist_neg, VectorBundleCore.mem_trivChange_source, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, ContinuousAlternatingMap.norm_ofSubsingleton, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, Submodule.toLinearMap_starProjection_eq_isComplProjection, SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInf, hasStrictFDerivAt_finCons, InnerProductSpace.rankOne_def, HasDerivAt.smul_const, TensorProduct.nnnorm_map, Module.Basis.ofZLatticeBasis_span, contDiff_const_smul, ExistsContDiffBumpBase.u_int_pos, AddCircle.volume_closedBall, ContinuousLinearMap.coe_flipₗᵢ', HasMFDerivAt.prodMap, WeakFEPair.h_feq', PiTensorProduct.norm_eval_le_injectiveSeminorm, MeasureTheory.weightedSMul_null, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, Submodule.sub_starProjection_mem_orthogonal, ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three, MeasureTheory.Measure.MeasureDense.indicatorConstLp_subset_closure, Module.Basis.addHaar_reindex, ContinuousLinearMap.norm_smulRight_apply, ContinuousMap.linearIsometryBoundedOfCompact_of_compact_toEquiv, Orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, tendstoUniformlyOn_tsum_nat, norm_deriv_le_of_lipschitzOn, dist_birkhoffAverage_birkhoffAverage, hasDerivAt_const, dslope_sub_smul_of_ne, deriv_add_const', Orientation.tan_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, TemperedDistribution.fourierTransformInv_toTemperedDistributionCLM_eq, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', BoundedContinuousFunction.innerProbChar_apply, fderiv_const_add, ball_sub_zero, continuousOn_extChartAt, MeasureTheory.eLpNorm_star, hasFDerivWithinAt_const_add_iff, iteratedDerivWithin_of_isOpen_eq_iterate, IsLocalFrameOn.mdifferentiableOn_of_coeff, UniformSpace.Completion.norm_toComplL, Real.zero_at_infty_fourierIntegral, ContDiffOn.differentiableOn, ProbabilityTheory.covarianceBilin_comm, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, ContinuousMap.toLp_def, ContDiffAt.const_smul, Units.instLieGroupModelWithCornersSelf, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, AnalyticAt.eventually_constant_or_nhds_le_map_nhds, iteratedDerivWithin_fun_const_smul_field, ImplicitFunctionData.map_nhds_eq, SchwartzMap.integral_bilin_fourier_eq, ContinuousLinearEquiv.contDiffPointwiseHolderAt, ContinuousMultilinearMap.analyticAt, ClosedSubmodule.orthogonal_eq_inter, contDiffWithinAtProp_self_source, summable_iff_vanishing_norm, ContinuousMultilinearMap.prodL_apply, Orientation.kahler_neg_orientation, FormalMultilinearSeries.radius_inv_eq_limsup, mdifferentiableWithinAt_iff_image, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, AnalyticOnNhd.comp_sub, affinity_unitBall, MonotoneOn.intervalIntegrable_slope, OpenPartialHomeomorph.extend_coord_change_source_mem_nhdsWithin', convex_eball, EisensteinSeries.D2_inv, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousLinearMap.coe_flipMultilinearEquiv, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, iteratedFDeriv_comp_add_left, ContinuousMultilinearMap.norm_map_init_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', ContinuousAlternatingMap.hasStrictFDerivAt, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.tsupport_lineDerivOp_subset, lp.coeFn_add, SmoothBumpFunction.ball_subset, OpenPartialHomeomorph.extend_coord_change_source_mem_nhdsWithin, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, TestFunctionClass.instBoundedContinuousMapClass, LinearIsometryEquiv.conjStarAlgEquiv_refl, CurveIntegrable.fun_zero, InnerProductSpace.laplacian_smul, MeasureTheory.finStronglyMeasurable_of_measurable, MeasureTheory.L2.inner_indicatorConstLp_one, LinearIsometryEquiv.coe_toIsometryEquiv, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', contDiff_nat_iff_iteratedDeriv, ConvexOn.slope_le_leftDeriv, MeasureTheory.Lp.boundedContinuousFunction_dense, LinearMap.IsSymmetric.toSelfAdjoint_apply, MeasureTheory.Lp.constₗ_apply, Submodule.coe_continuous_linearProjOfClosedCompl, MeasureTheory.Lp.coe_nnnorm, InnerProductSpace.volume_ball, add_ball_zero, Real.Angle.sin_two_nsmul, iteratedFDeriv_neg_apply, circleIntegral.norm_two_pi_i_inv_smul_integral_le_of_norm_le_const, Submodule.coe_orthogonalDecomposition, VectorField.lieBracket_eq, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, differentiableAt_fst, ExistsContDiffBumpBase.u_exists, contMDiff_iff_contDiff, Real.fourierIntegral_real_eq_integral_exp_smul, HasFPowerSeriesWithinOnBall.continuousOn, MeasureTheory.Lp.mem_boundedContinuousFunction_iff, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_2, NormedAddGroupHom.completion_add, Submodule.finrank_orthogonal_span_singleton, PiTensorProduct.liftEquiv_symm_apply, MeasureTheory.integrable_comp_div_left, MeasureTheory.condExpIndSMul_add, ContinuousLinearMap.fpowerSeries_apply_add_two, Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, contMDiff_iff_target, LinearMap.isPositive_natCast, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, curveIntegralFun_cast, TensorProduct.toLinearEquiv_congrIsometry, MeasureTheory.Lp.norm_fourier_eq, AnalyticAt.analyticOrderAt_deriv_add_one, Asymptotics.isBigO_completion_right, ContDiffWithinAt.smul, ContinuousMultilinearMap.opNorm_zero, AnalyticOnNhd.is_constant_or_isOpenMap, IsBoundedBilinearMap.continuous, mdifferentiableOn_extChartAt_symm, dense_differentiableAt_norm, MeromorphicAt.iterated_deriv, normedAddGroupHomCompletionHom_apply, lowerClosure_interior_subset, TemperedDistribution.smulLeftCLM_sub, Submodule.isOrtho_iSup_left, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, IsCoercive.bounded_below, ContDiffBump.support_eq, ValueDistribution.proximity_add_top_le, iteratedFDerivWithin_comp_sub, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, Submodule.norm_subtypeL, fourierCoeff.const_smul, ContinuousMap.nnnorm_lt_iff, Submodule.mem_orthogonal', ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, OnePoint.isZeroAt_iff_forall_SL2Z, ContDiff.continuous_iteratedDeriv, instPolynormableSpace, setIntegral_withDensity_eq_setIntegral_toReal_smul₀', hasFDerivAt_finCons', Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, IsUltrametricDist.norm_fwdDiff_iter_apply_le, OpenPartialHomeomorph.continuousOn_extend_symm, contDiffPointwiseHolderAt_iff, ContinuousLinearMap.IsStarNormal.orthogonal_range, hasSum_cauchyPowerSeries_integral, SchwartzMap.coeFn_toLp, continuousSMul_sphere_closedBall, differentiableWithinAt_comp_sub, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, Asymptotics.isLittleO_pow_sub_pow_sub, UpperHalfPlane.contMDiff_num, MeasureTheory.Supermartingale.integrable, LinearIsometry.ediam_image, SmoothPartitionOfUnity.sum_eq_one', VectorField.mlieBracketWithin_def, UpperHalfPlane.mdifferentiable_denom, mdifferentiableAt_prod_module_iff, writtenInExtChartAt_model_space, LinearMap.toMatrix_innerₛₗ_apply, strictConvexSpace_iff, intervalIntegral.smul_integral_comp_sub_mul, vadd_ball_zero, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, neg_cthickening, MeasureTheory.Lp.norm_const', Function.locallyFinsuppWithin.toClosedBall_divisor, HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, SchwartzMap.coeHom_injective, MeasureTheory.norm_condExpIndL1_le, MeasureTheory.IsAddFundamentalDomain.integrableOn_iff, MeasureTheory.Measure.withDensityᵥ_absolutelyContinuous, ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, TensorProduct.toLinearEquiv_commIsometry, contMDiffOn_extChartAt, SchwartzMap.norm_toLp, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, LinearIsometry.dist_map, ProbabilityTheory.isGaussian_iff_charFun_eq, Orientation.inner_rotation_pi_div_two_left_smul, Submodule.norm_sq_eq_add_norm_sq_projection, ContinuousAffineMap.contDiff, smul_sphere, HasCompactSupport.integral_Iic_deriv_eq, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, ValueDistribution.logCounting_add_analyticOn, tangentCoordChange_comp, Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two, OnePoint.isBoundedAt_iff, LinearIsometry.norm_iteratedFDeriv_comp_left, Submodule.orthogonal_gc, fderiv_const_smul_of_invertible, LinearIsometryEquiv.image_ball, closedBall_zero_sub_singleton, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, HasFTaylorSeriesUpToOn.continuousLinearMap_comp, AffineMap.differentiableAt, hasStrictDerivAt_finCons', Trivialization.contMDiffOn_localFrame_baseSet, Asymptotics.isLittleO_id_one, ProbabilityTheory.instIsGaussianDirac, dist_iteratedFDerivWithin_zero, curveIntegral_restrictScalars, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, HasFPowerSeriesOnBall.hasSum, ContinuousLinearMap.isBoundedLinearMap_comp_right, Submodule.starProjection_isSymmetric, MeasureTheory.Lp.smul_zero, ContDiffWithinAt.contDiffOn, Submodule.starProjection_apply, Real.Angle.two_nsmul_eq_iff_eq_of_abs_toReal_lt_pi_div_two, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul, NormedSpace.isVonNBounded_iff', Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', SmoothPartitionOfUnity.mem_finsupport, VonNeumannAlgebra.mem_carrier, MemHolder.add, WeakDual.isSeqCompact_closedBall, differentiableOn_fun_neg_iff, hasStrictDerivAt_finCons, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, PiTensorProduct.liftEquiv_apply, DomMulAct.mk_smul_indicatorConstLp, LinearIsometryEquiv.toHomeomorph_injective, MeasureTheory.norm_condExpInd_apply_le, ImplicitFunctionData.toPartialHomeomorph_coe, OpenPartialHomeomorph.univUnitBall_target, hasFTaylorSeriesUpTo_top_iff', NormedAddGroupHom.uniformContinuous, IsOpen.exists_contMDiff_support_eq, fderivWithin_iteratedFDerivWithin, Orientation.rotation_neg_orientation_eq_neg, rescale_to_shell, ContinuousLinearMap.rayleighQuotient_add, ContinuousMultilinearMap.contDiff, IsPicardLindelof.continuousOn_uncurry, MultilinearMap.mkContinuousLinear_norm_le, hasFDerivAt_iff_tendsto, VonNeumannAlgebra.centralizer_centralizer, WeakDual.exists_countable_separating, mdifferentiable_iff, LinearMap.isSelfAdjoint_iff', FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, Orientation.areaForm'_apply, VectorBundleCore.coe_coordChange, OpenPartialHomeomorph.continuous_univBall, innerSLFlip_apply_apply, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, mdifferentiableWithinAt_iff_differentiableWithinAt, Affine.Triangle.dist_orthocenter_reflection_circumcenter, iteratedDeriv_add, OrthogonalFamily.hasSum_linearIsometry, ODE.FunSpace.toContinuousMap_apply_eq_apply, TestFunctionClass.map_hasCompactSupport, intervalIntegral.integral_smul_measure, StrictConcaveOn.slope_lt_of_hasDerivAt, isOpen_setOf_affineIndependent, tendsto_zero_of_meromorphicOrderAt_pos, signedDist_smul_of_pos, OnePoint.IsZeroAt.smul_iff, FormalMultilinearSeries.norm_compContinuousLinearMap_le, LinearMap.IsPositive.isSelfAdjoint, infEdist_smul₀, ContinuousLinearMap.bilinear_hasTemperateGrowth, Orientation.oangle_add_left_eq_arcsin_of_oangle_eq_pi_div_two, IsBoundedBilinearMap.isBoundedLinearMap_deriv, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, differentiableOn_add_const_iff, MeasureTheory.Submartingale.stronglyMeasurable, Submodule.top_orthogonal_eq_bot, Submodule.fst_orthogonalDecomposition_apply, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, DomAddAct.norm_vadd_Lp, Submodule.orthogonal_orthogonal_eq_closure, MeasureTheory.condExpL1_neg, AnalyticOn.const_smul, MeasureTheory.Lp.instTrivialStarSubtypeAEEqFunMemAddSubgroup, ContinuousLinearEquiv.nhds, ContDiffAt.derivWithin, ContinuousAlternatingMap.le_opNorm_mul_pow_of_le, Submodule.smul_starProjection_singleton, Finset.analyticOn_fun_sum, ContinuousLinearMap.opNorm_comp_le, contMDiff_smul, LinearIsometryEquiv.dist_map, VectorBundleCore.mem_source_at, MeasureTheory.L1.nnnorm_integral_le, trivializationAt_model_space_apply, AffineIsometryEquiv.coe_vaddConst, ContinuousLinearMap.isUnit_iff_isUnit_toLinearMap, MeasureTheory.Measure.addHaar_real_closedBall', LinearIsometryEquiv.continuousWithinAt, TensorProduct.ext_iff_inner_right, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, ContDiffOn.derivWithin, MeasureTheory.Lp.norm_smul_le, signedDist_lineMap_lineMap, contMDiffOn_continuousLinearMapCoordChange, LinearEquiv.isPositive_symm_iff, ContinuousMultilinearMap.curryFinFinset_apply_const, InnerProductSpace.enorm_rankOne, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, Module.Basis.exists_opNNNorm_le, Module.Basis.addHaar_def, aestronglyMeasurable_smul_const_iff, MeasureTheory.SimpleFunc.FinMeasSupp.integrable, MeasureTheory.isClosed_aestronglyMeasurable, InnerProductSpace.continuousLinearMapOfBilin_zero, contDiffOn_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, OpenPartialHomeomorph.map_extend_nhds, PiTensorProduct.mapL_mul, OpenPartialHomeomorph.restrContDiff_target, intervalIntegral.inv_smul_integral_comp_sub_div, extChartAt_preimage_mem_nhdsWithin, SeparationQuotient.normedMk_eq_zero_iff, contMDiffOn_extChartAt_symm, ContinuousLinearMap.toLinearMap_innerSL_apply, ModelWithCorners.symm_map_nhdsWithin_range, extChartAt_target_mem_nhdsWithin', UniformConvexOn.convexOn, differentiableAt_comp_const_sub, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, AnalyticOn.smul, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, NumberField.Units.regOfFamily_of_isMaxRank, VectorPrebundle.pretrivialization_mem_atlas, Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_two, OpenPartialHomeomorph.univBall_apply_zero, MeasureTheory.Lp.coeFn_sup, IsBoundedBilinearMap.differentiableAt, ContDiffOn.differentiableOn_one, Bundle.mdifferentiableWithinAt_proj, BoundedContinuousFunction.coe_ofNormedAddCommGroupDiscrete, LinearMap.IsSymmetric.adjoint_eq, BoundedContinuousFunction.probCharDual_zero, BoundedContinuousFunction.norm_le_of_nonempty, IsSelfAdjoint.dense_domain, LinearMap.isPositive_sum, ContinuousMultilinearMap.flipLinear_apply_apply, Submodule.starProjection_norm_le, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, MeasureTheory.charFun_conv, HasGradientAt.hasFDerivAt, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, IsLocalFrameOn.contMDiffOn, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, CStarMatrix.toCLM_apply_single, hasSum_two_pi_I_cauchyPowerSeries_integral, BoundedContinuousFunction.norm_integral_le_norm, LinearIsometry.continuous, meromorphicOrderAt_add_of_top_left, FormalMultilinearSeries.comp_id, differentiableWithinAt_star_iff, ContinuousMultilinearMap.hasStrictFDerivAt, Submodule.inner_orthogonalProjection_eq_of_mem_right, ContDiffOn.differentiableOn_iteratedDerivWithin, fderivWithin_comp_smul_eq_fderivWithin_smul, ContinuousLinearMap.isLeast_opNNNorm, ContinuousMap.nnnorm_smul_const, sameRay_iff_norm_add, Function.HasTemperateGrowth.add, signedDist_vadd_left_swap, Submodule.isOrtho_iff_le, MeasureTheory.condExp_smul, SeparationQuotient.mk_eq_zero_iff, hasFTaylorSeriesUpTo_succ_nat_iff_right, OpenPartialHomeomorph.contDiffOn_univUnitBall_symm, iteratedFDeriv_add, BoundedContinuousFunction.nnnorm_const_eq, MeasureTheory.Lp_toLp_restrict_add, hasFDerivWithinAt_piLp, MeasureTheory.norm_weightedSMul_le, extChartAt_preimage_mem_nhds', differentiableOn_piLp, contMDiffWithinAt_extChartAt_symm_range_self, ClosedSubmodule.iInf_orthogonal, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, ValueDistribution.characteristic_add_top_eventuallyLE, HasFiniteFPowerSeriesOnBall.differentiableOn, EuclideanGeometry.reflection_apply_of_mem, HasFPowerSeriesOnBall.neg, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, VectorBundle.continuousOn_coordChange', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ZSpan.coe_floor_self, HasCompactSupport.enorm_le_lintegral_Ici_deriv, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, ContinuousLinearMap.mfderiv_eq, hasFDerivAt_const_add_iff, Antitone.locallyIntegrable, lipschitzOnWith_neg_iff, ContinuousAlternatingMap.isLeast_opNorm, SchwartzMap.fourierInv_lineDerivOp_eq, curveIntegralFun_trans_of_half_lt, Metric.isPreconnected_eball, EuclideanGeometry.Sphere.secondInter_smul, ContDiffMapSupportedIn.tsupport_subset, InnerProductSpace.harmonicAt_comp_CLE_iff, InnerProductSpace.coe_gramSchmidtBasis, closedBall_subset_range_iff_surjective, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, strongConcaveOn_iff_convex, Filter.tendsto_cocompact_cocompact_of_norm, iteratedFDeriv_eq_equiv_comp, ModelWithCorners.continuousWithinAt, ContDiffWithinAt.dist, MeasureTheory.condExpIndL1_smul, instContinuousNegElemSphereOfNat, UnitAddTorus.orthonormal_mFourier, Complex.dist_of_im_eq, ZLattice.module_free, IsBoundedBilinearMap.hasFDerivWithinAt, ProbabilityTheory.isGaussian_map, instIsZLatticeRealSpan, ContinuousMap.toLp_norm_eq_toLp_norm_coe, hasFTaylorSeriesUpToOn_succ_nat_iff_right, Fourier.fourierIntegral_const_smul, AffineSubspace.signedInfDist_eq_const_of_mem, hasDerivAtFilter_iff_isLittleO, CStarMatrix.toCLM_apply_eq_sum, BoundedContinuousFunction.norm_eq_zero_of_empty, PiTensorProduct.mapL_comp, MeromorphicAt.eventually_continuousAt, OpenPartialHomeomorph.extend_symm_preimage_inter_range_eventuallyEq_aux, Submodule.norm_starProjection, OpenPartialHomeomorph.continuousOn_writtenInExtend_iff, isCompactOperator_iff_image_closedBall_subset_compact, BoundedContinuousFunction.coe_sup, contMDiffWithinAt_iff_target_of_mem_source, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, FormalMultilinearSeries.isLittleO_one_of_lt_radius, LinearIsometryEquiv.completeSpace_map, Meromorphic.fun_smul, Bundle.contMDiffWithinAt_totalSpace, MeasureTheory.weightedSMul_add_measure, Unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.Measure.NullMeasurableSet.const_smul, mdifferentiableOn_iff_of_subset_source, Filter.EventuallyEq.derivWithin_eq, contMDiffWithinAt_iff_source_of_mem_maximalAtlas, ContDiff.comp_continuousLinearMap, HasFiniteFPowerSeriesAt.eventually_zero_of_bound_zero, Orientation.oangle_neg_left, exists_dual_vector, ContDiffMapSupportedIn.locallyConvexSpace, hasFDerivWithinAt_comp_smul_smul_iff, MeasureTheory.finStronglyMeasurable_iff_measurable, MeasureTheory.SimpleFunc.memLp_top, MeasureTheory.continuous_integral_integral, fourierCoeff_toLp, ContinuousLinearMap.rayleighQuotient_le_norm, smul_unitBall_of_pos, differentiableAt_const_add_iff, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, AffineIsometryEquiv.symm_constVSub, LinearMap.isPositive_toContinuousLinearMap_iff, ContinuousLinearMap.norm_def, OrthogonalFamily.summable_of_lp, ProbabilityTheory.IsGaussian.charFunDual_eq, coe_fourierBasis, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', HasFPowerSeriesAt.apply_eq_zero, InnerProductGeometry.norm_div_sin_angle_add_of_inner_eq_zero, ContinuousLinearMap.le_opNorm_of_le, iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, TangentBundle.trivializationAt_source, norm_inner_eq_norm_tfae, Real.circleAverage_def, derivWithin_zero_of_notMem_closure, ContinuousMultilinearMap.opNorm_pi, curveIntegral_fun_add, DilationEquiv.smulTorsor_apply, ContDiffWithinAt.derivWithin, ContinuousLinearEquiv.lipschitz, iteratedDeriv_vcomp_three, intervalIntegral.integral_smul, WithLp.dist_toLp_snd, preimage_add_closedBall, LinearIsometryEquiv.toContinuousLinearEquiv_symm, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, CuspForm.coe_translate, NormedAddGroup.to_isIsometricVAdd_left, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, MeasureTheory.condExp_def, signedDist_vadd_right, UniqueDiffWithinAt.smul_iff, curveIntegral_fun_neg, InnerProductSpace.instIsContPerfPairRealInnerₗOfCompleteSpace, Complex.isAddQuotientCoveringMap_exp, AnalyticAt.analyticOrderAt_eq_natCast, not_sameRay_iff_of_norm_eq, differentiableAt_finCons, InnerProductSpace.gramSchmidt_triangular, HasFTaylorSeriesUpToOn.continuousOn, OpenPartialHomeomorph.restrContDiff_symm_apply, NormedSpace.equicontinuous_TFAE, hasDerivAt_taylorWithinEval_succ, Submodule.starProjection_map_apply, IsMIntegralCurveAt.hasMFDerivAt, MemHolder.smul, LinearMap.star_eq_adjoint, MeasureTheory.lpMeasSubgroupToLpTrim_sub, nndist_vsub_vsub_le, NormedAddGroupHom.isClosed_ker, contDiffWithinAt_succ_iff_hasFDerivWithinAt', DiffContOnCl.circleAverage_smul_div, lp.ext_continuousAddMonoidHom_iff, Bundle.mdifferentiableOn_proj, contDiffOn_succ_iff_hasFDerivWithinAt, MeasureTheory.SimpleFunc.integrable_iff, fderivWithin_add_const, differentiableWithinAt_euclidean, ContinuousLinearMap.continuousWithinAt_uncurry_of_multilinear, HasSolidNorm.toTopologicalLattice, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', OpenPartialHomeomorph.univUnitBall_source, intervalIntegral.integral_comp_div, LinearIsometryEquiv.coe_coe, ContinuousLinearMap.opNorm_add_le, InnerProductGeometry.norm_div_tan_angle_add_of_inner_eq_zero, LinearIsometry.preimage_ball, AddCircle.ergodic_nsmul, ContinuousLinearMap.sSup_sphere_eq_norm, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, ModelWithCorners.mdifferentiableAt, FormalMultilinearSeries.radius_unshift, aestronglyMeasurable_derivWithin_Ici, MeasureTheory.locallyIntegrable_const, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, Orientation.oangle_sign_smul_left, ContDiffPointwiseHolderAt.continuousLinearMap_comp, ContinuousLinearMap.coe_restrictScalarsIsometry, TensorProduct.enorm_tmul, HasFPowerSeriesOnBall.tendstoUniformlyOn, ContinuousLinearMap.norm_inr, MeasureTheory.setAverage_eq, ImplicitFunctionData.implicitFunction_apply, CPolynomialAt.continuousAt, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, Submodule.starProjection_bot, ConvexBody.isBounded, ZSpan.isAddFundamentalDomain', continuousMultilinearCurryFin0_apply, EuclideanGeometry.oangle_add_oangle_add_oangle_eq_pi, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, HasGradientAt.differentiableAt, ValueDistribution.logCounting_add_top_eventuallyLE, ModelWithCorners.nonempty_interior, ContDiffAt.hasStrictFDerivAt, PiTensorProduct.dualSeminorms_bounded, Conformal.differentiable, FormalMultilinearSeries.radius_neg, vadd_closedBall'', ProbabilityTheory.Kernel.continuous_integral_integral, extDeriv_smul, homeomorphUnitSphereProd_symm_apply_coe, DomMulAct.smul_Lp_neg, ProbabilityTheory.covarianceBilin_self_nonneg, add_mem_closedBall_iff_norm, taylorWithinEval_succ, QuotientAddGroup.nhds_zero_hasBasis, SchwartzMap.toBoundedContinuousFunction_apply, Submodule.orthogonal_closure, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, AddCircle.coe_real_preimage_closedBall_inter_eq, TensorProduct.inner_assoc_assoc, ContinuousMultilinearMap.curryMidEquiv_apply, NormedAddGroupHom.completion_coe_to_fun, conformalAt_iff_isConformalMap_fderiv, StrictConvexSpace.strictConvex_closedBall, exists_msmooth_support_eq_eq_one_iff, SemiNormedGrp₁.iso_isometry, Real.fourier_eq, ApproximatesLinearOn.lipschitz_sub, ContinuousMultilinearMap.iteratedFDeriv_eq, ContinuousMap.nnnorm_lt_iff_of_nonempty, FormalMultilinearSeries.le_mul_pow_of_radius_pos, ZSpan.norm_fract_le, Complex.nndist_of_re_eq, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, WithLp.nndist_toLp_snd, iteratedDeriv_const_add, MeasureTheory.L2.real_inner_indicatorConstLp_one_indicatorConstLp_one, fderiv_sub_const, ContinuousLinearMap.analyticOnNhd_bilinear, MDifferentiableAt.mfderiv, ContinuousLinearMap.reApplyInnerSelf_apply, ZSpan.fundamentalDomain_reindex, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, Orientation.oangle_sign_smul_add_smul_smul_add_smul, ProbabilityTheory.indepFun_iff_charFunDual_prod', Affine.Simplex.direction_mongePlane, SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf, thickening_closedBall, MeasureTheory.Measure.integral_comp_mul_left, BoundedContinuousFunction.neg_apply, AnalyticAt.analyticOrderNatAt_eq_iff, ProperCone.innerDual_union, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, LinearMap.le_def, tangentBundle_model_space_coe_chartAt_symm, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, iteratedFDerivWithin_succ_apply_left, Orientation.areaForm_comp_linearIsometryEquiv, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, EuclideanGeometry.angle_const_add, SmoothPartitionOfUnity.coe_finsupport, SchwartzMap.fourier_evalCLM_eq, LatticeOrderedAddCommGroup.isSolid_ball, LinearIsometryEquiv.comp_differentiableWithinAt_iff, support_deriv_subset, tangentBundleModelSpaceHomeomorph_coe, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₂, LinearMap.adjoint_toSpanSingleton, OrthonormalBasis.coe_toBasis, ContDiff.differentiable_iteratedDeriv, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, OpenPartialHomeomorph.unitBallBall_target, dist_vsub_cancel_right, RCLike.norm_nsmul, Emetric.exists_contMDiffMap_forall_closedBall_subset, MeasureTheory.stronglyAdapted_predictablePart', BoxIntegral.Integrable.sum_integral_congr, hasDerivWithinAt_natCast, hasFDerivWithinAt_tangentCoordChange, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, Orientation.oangle_sign_smul_sub_left, ContinuousWithinAt.nhdsWithin_extChartAt_symm_preimage_inter_range, ContinuousLinearEquiv.analyticOn, MeasureTheory.Lp.simpleFunc.denseRange, SchwartzMap.hasFDerivAt, ContinuousMultilinearMap.opNorm_add_le, MeasureTheory.memL1_smul_of_L1_withDensity, ContinuousLinearMap.bilinearComp_apply, analyticAt_iff_analytic_fun_smul, MeasureTheory.condExp_ae_eq_condExpL1, ContinuousMultilinearMap.instContinuousEval, differentiableAt_piLp, ProbabilityTheory.integrable_comp_snd_map_prodMk_iff, Submodule.reflection_sub, differentiableWithinAtProp_self_source, TemperedDistribution.instLineDerivSMulReal, iteratedDeriv_comp_neg, SchwartzMap.evalCLM_apply_apply, StrictConcaveOn.derivWithin_lt_slope, MDifferentiableWithinAt.mfderivWithin, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, ClosedSubmodule.mem_orthogonal, ContinuousMultilinearMap.norm_restrictScalars, DiffContOnCl.smul_const, MeasureTheory.condExpIndL1_smul', isBounded_convexHull, MeasureTheory.Measure.toTemperedDistribution_apply, Complex.analyticOn_iff_differentiableOn, tendsto_integral_exp_smul_cocompact_of_inner_product, TangentBundle.chartAt, LinearMap.re_inner_adjoint_mul_self_nonneg, Diffeomorph.contDiff, differentiable_pi, StrictConvexOn.slope_lt_derivWithin, contDiff_smul_const, HasFTaylorSeriesUpToOn.fderivWithin, CStarMatrix.toCLM_apply, ContinuousLinearEquiv.hasFDerivWithinAt, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, InnerProductGeometry.angle_add_lt_pi_div_two_of_inner_eq_zero, ContinuousMultilinearMap.isLeast_opNNNorm, BoxIntegral.integralSum_biUnionTagged, Orientation.oangle_rotation_right, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, LinearMap.isPositive_self_comp_adjoint, ConvexOn.slope_le_of_hasDerivWithinAt, EisensteinSeries.isBoundedAtImInfty_eisensteinSeries_SIF, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, differentiableAt_norm_smul, instModuleFinite_of_discrete_submodule, FormalMultilinearSeries.id_comp, circleIntegral.integral_smul, Trivialization.baseSet_continuousLinearMap, ContinuousLinearMap.norm_map_tail_le, Real.circleAverage_eq_integral_add, HasFPowerSeriesAt.restrictScalars, contMDiffOn_symm_coordChangeL, tangentBundleCore_coordChange_model_space, intervalIntegral.inv_smul_integral_comp_div_sub, SemilinearIsometryClass.antilipschitz, Module.Basis.prod_parallelepiped, Metric.exists_contMDiffMap_forall_closedBall_subset, ContinuousLinearMap.instStarModuleId, IsLocalFrameOn.contMDiffAt, BoundedContinuousFunction.mem_Lp, ContDiff.smul_const, iteratedFDerivWithin_comp_add_right, edist_smul₀, lp.coeFn_sum, contMDiffAt_hom_bundle, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, MeasureTheory.lpMeasSubgroupToLpTrim_right_inv, DoubleCentralizer.instIsCentralScalar, InnerProductGeometry.angle_add_pos_of_inner_eq_zero, NormedSpace.polar_closure, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', exists_msmooth_zero_iff_one_iff_of_isClosed, PiTensorProduct.injectiveSeminorm_apply, InnerProductGeometry.tan_angle_add_of_inner_eq_zero, Homeomorph.unitBall_apply_coe, UniformSpace.Completion.norm_coe, ContinuousLinearMap.isBoundedLinearMap_comp_left, ModelWithCorners.map_nhds_eq, LeftInvariantDerivation.map_add, BoundedContinuousFunction.Lp_norm_le, ProbabilityTheory.IsGaussian.memLp_dual, norm_fderiv_iteratedFDeriv, isConnected_setOf_sameRay_and_ne_zero, curveIntegralFun_neg, DomAddAct.vadd_Lp_ae_eq, MeasureTheory.Lp.norm_constL_le, meromorphicOrderAt_smul, ProbabilityTheory.covarianceBilinDual_self_nonneg, conformalFactorAt_inner_eq_mul_inner', hasFDerivAtFilter_snd, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, BoundedContinuousFunction.mkOfCompact_neg, ContDiffBump.measure_closedBall_le_integral, TemperedDistribution.fourier_lineDerivOp_eq, convexHull_sphere_eq_closedBall, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', ContinuousMultilinearMap.instIsBoundedSMul, MeasureTheory.charFunDual_map_const_add, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, extChartAt_target_eventuallyEq', hasDerivAtFilter_sub_const_iff, Real.Angle.sign_two_nsmul_eq_sign_iff, MeasureTheory.charFunDual_map_add_const, TemperedDistribution.fourier_delta_zero, ContinuousLinearMap.adjointAux_adjointAux, ImplicitFunctionData.differentiableAt_implicitFunction, Module.Basis.addHaar_eq_iff, FiberBundle.extChartAt, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, MeasureTheory.Lp.simpleFunc.neg_toSimpleFunc, Orientation.rotation_trans, dslope_same, Meromorphic.fun_add, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ZSpan.span_top, DomMulAct.norm_smul_Lp, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, contDiffOn_succ_iff_deriv_of_isOpen, ModularForm.coeHom_apply, analyticOrderAt_add_eq_right_of_lt, hasFDerivAt_single, LeftInvariantDerivation.coe_add, signedDist_lineMap_left, MeasureTheory.condExpL2_indicator_of_measurable, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, Orientation.continuousAt_oangle, dist_add_add_le, ProbabilityTheory.covarianceBilin_real_self, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, LinearMap.eq_adjoint_iff, MeasureTheory.Lp.add_smul, MeasureTheory.martingalePart_add_predictablePart, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, OpenPartialHomeomorph.restrContDiff_source, ModularForm.slash_action_eq'_iff, PositiveLinearMap.gnsStarAlgHom_apply, SchwartzMap.tsupport_iteratedLineDerivOp_subset, MeasureTheory.integral_comp_rpow_Ioi, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, ContDiff.contMDiff, convex_closedEBall, hasDerivAt_iff_tendsto_slope_zero, SmoothPartitionOfUnity.sum_le_one', Asymptotics.isLittleOTVS_iff_isLittleO, OrthonormalBasis.tensorProduct_apply', ValueDistribution.characteristic_sub_characteristic_inv, ImplicitFunctionData.hasStrictFDerivAt, DomAddAct.vadd_Lp_sub, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, WeakFEPair.hf_zero, LinearIsometry.norm_toContinuousLinearMap_comp, convex_ball, BoundedContinuousFunction.coeFn_toLp, ContinuousLinearMap.isBigOWith_comp, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, MeasureTheory.IntegrableOn.finset, continuous_clm_apply, ContinuousLinearMap.hasTemperateGrowth, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, TestFunction.coe_add, infDist_smul₀, Orientation.oangle_sub_right_smul_rotation_pi_div_two, ConcaveOn.le_slope_of_hasDerivWithinAt, LinearMap.isPositive_iff_complex, VectorFourier.fourierSMulRight_apply, ContinuousLinearEquiv.isBigO_sub_rev, ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, measurable_fderiv_apply_const, MeasureTheory.Lp.instContinuousVAddDomAddAct, stereographic_neg_apply, StrongConcaveOn.strictConcaveOn, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, MeasureTheory.Measure.addHaar_image_linearMap, MeasureTheory.withDensityᵥ_neg, isSelfAdjoint_starProjection, InnerProductSpace.gramSchmidt_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Real.Angle.sin_add, ContinuousMultilinearMap.uncurryRight_apply, instIsRiemannianManifoldModelWithCornersSelfReal, OpenPartialHomeomorph.extend_preimage_mem_nhds, eventually_norm_symmL_trivializationAt_self_comp_lt, SchwartzMap.instContinuousMapClass, MeasureTheory.condExpL1CLM_indicatorConst, summable_of_ratio_norm_eventually_le, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, SmoothBumpFunction.isClosed_image_of_isClosed, MeasureTheory.mem_lpMeasSubgroup_toLp_of_trim, MeromorphicAt.fun_deriv, Asymptotics.isLittleO_norm_pow_norm_pow, NormedSpace.normalize_smul_of_neg, ModelWithCorners.hasMFDerivWithinAt, tangentBundleCore_coordChange, derivWithin_comp_mul_left, SmoothPartitionOfUnity.sum_nonneg, MeasureTheory.L1.nnnorm_Integral_le_one, MeasureTheory.L1.SimpleFunc.integrable, derivWithin_zero_of_not_uniqueDiffWithinAt, curveIntegralFun_fun_zero, ContinuousLinearMap.bilinearComp_zero, MeasureTheory.integral_fun_norm_addHaar, MeasureTheory.lpMeasSubgroupToLpTrim_add, isScalarTower_sphere_sphere_closedBall, MeasureTheory.L1.integral_eq_norm_posPart_sub, signedDist_anticomm, MeasureTheory.Lp.instContinuousFourierInv, ZSpan.map, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, MeasureTheory.weightedSMul_smul, ContinuousLinearEquiv.norm_symm_pos, Submodule.sInf_orthogonal, norm_deriv_le_of_lipschitz, extChartAt_image_nhds_mem_nhds_of_boundaryless, segment_subset_closedBall_left, UnitAddTorus.hasSum_mFourier_series_L2, ContinuousMultilinearMap.cpolynomialAt, MultilinearMap.mkContinuousLinear_norm_le', Complex.dist_eq, Trivialization.continuousLinearMap_apply, MeasureTheory.Lp.norm_const, ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, TemperedDistribution.laplacian_eq_sum, curveIntegralFun_def', WithCStarModule.pi_inner, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, Orientation.areaForm_comp_rightAngleRotation, AnalyticAt.add, MeasureTheory.lpNorm_nsmul, Bundle.contMDiffWithinAt_proj, Submodule.isOrtho_span, MeasureTheory.lpMeasSubgroupToLpTrim_left_inv, contDiffOn_fderiv_coord_change, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, HasFPowerSeriesWithinAt.differentiableWithinAt, instIsTopologicalAddTorsor_1, ZSpan.exist_unique_vadd_mem_fundamentalDomain, ContinuousMultilinearMap.ratio_le_opNorm, ContDiff.iterate_deriv, ZSpan.fundamentalDomain_subset_parallelepiped, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, SmoothBumpFunction.isClosed_symm_image_closedBall, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, iteratedDerivWithin_const_smul, HasStrictDerivAt.smul_const, MultilinearMap.continuous_of_bound, CurveIntegrable.refl, ContDiff.deriv', MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, ModelWithCorners.image_mem_nhdsWithin, HasFiniteFPowerSeriesOnBall.neg, derivWithin_intCast, ContinuousMapZero.norm_def, IsUltrametricDist.nnnorm_tsum_le_of_forall_le, TemperedDistribution.instContinuousLineDeriv, PadicInt.continuous_addChar_of_value_at_one, norm_derivWithin_eq_norm_fderivWithin, differentiableWithinAt_dslope_of_ne, iteratedFDeriv_zero_apply, ContinuousLinearMap.le_def, hasGradientAt_iff_tendsto, WeakDual.isClosed_closedBall, AffineMap.derivWithin, Real.Angle.two_zsmul_eq_iff, contDiff_succ_iff_fderiv_apply, coe_lpPiLpₗᵢ, MeasureTheory.rnDeriv_ae_eq_condExp, OpenPartialHomeomorph.contDiff_univBall, VectorBundleCore.localTriv_apply, edist_add_add_le, SeparationQuotient.norm_liftNormedAddGroupHom_le, Orientation.oangle_add_cyc3, MeasureTheory.integrable_add_const_iff, MeasureTheory.Lp.simpleFunc.memLp, LinearMap.isPositive_zero, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, LinearIsometryEquiv.coe_coe'', MeasureTheory.integrable_comp_mul_left_iff, fderiv_update, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, ContDiffOn.continuousOn_derivWithin, ContinuousLinearMap.measurable_comp, ValueDistribution.characteristic_sum_top_le, BoxIntegral.BoxAdditiveMap.toSMul_apply, ProbabilityTheory.IsGaussian.map_rotation_eq_self, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, MeasureTheory.Lp.instAddLeftMono, CStarMatrix.mul_entry_mul_eq_inner_toCLM, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv, continuous_inner, homeomorphSphereProd_symm_apply_coe, hom_trivializationAt, modelWithCornersSelf_prod, Bundle.contMDiffAt_totalSpace, Diffeomorph.uniqueDiffOn_image, ContinuousLinearMap.le_opNorm₂, ContinuousLinearMap.lpPairing_eq_integral, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, MeasureTheory.integrable_tilted_iff, ContinuousLinearMap.norm_iteratedFDeriv_comp_left, BoundedContinuousFunction.instNormedStarGroup, ContinuousLinearMap.norm_uncurryMid, EuclideanGeometry.continuousAt_oangle, Real.Angle.two_nsmul_toReal_eq_two_mul_add_two_pi, MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, InnerProductSpace.rankOne_def', ContDiff.fderiv_apply, EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, SchwartzMap.tendsto_cocompact, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, Real.Angle.sign_pi_add, hasFDerivAtFilter_fst, Submodule.isClosed_orthogonal, differentiableWithinAt_comp_add_right, ContinuousLinearMap.opNorm_subsingleton, mellin_eq_fourierIntegral, Orientation.inner_rightAngleRotation_left, Orientation.cos_oangle_add_right_of_oangle_eq_pi_div_two, ContinuousLinearMap.holder_smul_right, HasFPowerSeriesOnBall.tendstoUniformlyOn', Pretrivialization.continuousLinearMap.isLinear, SchwartzMap.instBoundedContinuousMapClass, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, InnerProductGeometry.angle_eq_angle_add_angle_iff, fderiv_apply_one_eq_deriv, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, isScalarTower_sphere_sphere_ball, HasFTaylorSeriesUpToOn.compContinuousLinearMap, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, MeromorphicAt.add, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.IsPositive.inner_nonneg_left, Real.fourierIntegral_eq', Real.circleAverage_fun_smul, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, MeasureTheory.L2.eLpNorm_inner_lt_top, LinearMap.adjoint_lTensor, OpenPartialHomeomorph.contDiffOn_restrContDiff_source, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, MeasureTheory.integrable_withDensity_iff_integrable_smul, BoxIntegral.integralSum_fiberwise, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, LinearMap.toMatrixOrthonormal_apply, hasFPowerSeriesOn_cauchy_integral, Metric.diam_ball_eq, MeasureTheory.condExpL1CLM_lpMeas, measurableSet_of_differentiableAt, Module.Basis.coe_parallelepiped, Submodule.isSymmetricProjection_starProjection, UpperHalfPlane.contMDiff_denom_zpow, AntitoneOn.memLp_of_measure_ne_top, SmoothBumpCovering.exists_finset_toSmoothPartitionOfUnity_eventuallyEq, ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, EuclideanGeometry.inversion_def, cthickening_closedBall, InnerProductSpaceable.parallelogram_identity, LinearMap.IsPositive.smul_of_nonneg, ValueDistribution.characteristic_add_top_le, NormedSpace.vonNBornology_eq, ProbabilityTheory.covarianceBilin_apply_pi, ZeroAtInftyContinuousMap.norm_toBCF_eq_norm, MeasureTheory.Lp.mem_Lp_iff_memLp, curveIntegral_symm, SchwartzMap.integral_bilinear_laplacian_right_eq_left, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, instContinuousNegElemClosedBallOfNat, iteratedDeriv_fun_const_smul_field, IsBoundedLinearMap.hasFDerivAtFilter, ZLattice.covolume_eq_det_mul_measureReal, hasDerivWithinAt_const, AnalyticOnNhd.continuousOn, FormalMultilinearSeries.compAlongComposition_norm, map_extChartAt_nhds', intervalIntegral.integral_comp_sub_mul, ContinuousLinearMap.isOpen_injective, mdifferentiableWithinAt_iff', ContDiff.continuous_iteratedFDeriv', OrthonormalBasis.sum_repr_symm, homeomorphUnitSphereProd_apply_fst_coe, MeasureTheory.Supermartingale.stronglyMeasurable, Real.Angle.two_nsmul_eq_pi_iff, LeftInvariantDerivation.coe_neg, Trivialization.contMDiffOn_section_baseSet_iff, LipschitzWith.ae_differentiableAt, Orientation.kahler_apply_self, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, MeasureTheory.Lp.const_mem_Lp, LinearMap.mkContinuous_coe, dist_neg, signedDist_triangle_right, UniqueMDiffOn.tangentBundle_proj_preimage, curveIntegral_refl, NormedSpace.exp_nsmul, ContDiffAt.laplacian_add_nhds, Orientation.inner_smul_rotation_pi_div_two_right, OpenPartialHomeomorph.extend_target_eventuallyEq, ZSpan.instDiscreteTopologySubtypeMemSubmoduleIntSpanRangeCoeBasisRealOfFinite, HasFiniteFPowerSeriesOnBall.continuousOn, ContinuousLinearMap.continuous_uncurry_of_multilinear, Complex.analyticOn_univ_iff_differentiable, Valued.integer.coe_span_singleton_eq_closedBall, UniformConcaveOn.concaveOn, differentiable_const_add_iff, Pi.orthonormalBasis.toBasis, LinearIsometry.map_starProjection, TangentBundle.continuousLinearMapAt_trivializationAt, contMDiffWithinAt_comp_projIcc_iff, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, fourierIntegral_gaussian_innerProductSpace, egauge_ball_one_le_of_one_lt_norm, HasFTaylorSeriesUpToOn.add, le_analyticOrderAt_add, tangentBundle_model_space_chartAt, TangentBundle.mem_chart_target_iff, AnalyticWithinAt.continuousWithinAt_insert, ConcaveOn.slope_le_derivWithin, Real.circleAverage_smul, MeasureTheory.integrable_comp_sub_left, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, Submodule.inf_orthogonal, curveIntegral_trans, MeasureTheory.weightedSMul_union, mdifferentiableAt_iff_target_of_mem_source, abs_signedDist_eq_dist_iff_vsub_mem_span, InnerProductSpace.innerSL_norm, MeasureTheory.uniformIntegrable_average, differentiableAt_fun_neg_iff, LinearIsometryEquiv.strictConvex_image, MeasureTheory.indicatorConstLp_add, MultilinearMap.mkContinuousMultilinear_norm_le', SchwartzMap.le_seminorm, AddCircle.closedBall_eq_univ_of_half_period_le, WithCStarModule.inner_single_right, Submodule.IsOrtho.le, Submodule.reflection_map, differentiableOn_neg_iff, MeasureTheory.Measure.addHaar_real_closedBall_center, ContDiffWithinAt.contDiffOn', ModelWithCorners.continuous_toFun, Metric.isConnected_closedBall, InnerProductSpace.span_gramSchmidt_Iic, LinearMap.IsSymmetric.direct_sum_isInternal, UpperHalfPlane.petersson_slash_SL, Submodule.det_reflection, DomAddAct.vadd_Lp_neg, ContinuousLinearMap.measurable_apply, deriv_zero_of_frequently_const, LinearIsometry.preimage_sphere, Orientation.kahler_rotation_left', MeasureTheory.Measure.addHaar_affineSubspace, MeasureTheory.Lp.simpleFunc.coeFn_le, MeasureTheory.setIntegral_rnDeriv_smul', IsBoundedBilinearMap.fderiv, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, ContinuousMultilinearMap.norm_ofSubsingleton_id_le, derivWithin_zero_of_not_accPt, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, TensorProduct.inner_comm_comm, MeasureTheory.Lp.instFourierPairInv, ContDiff.fourierPowSMulRight, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, IsUltrametricDist.norm_tsum_le_of_forall_le_of_nonneg, Submodule.inner_orthogonalProjection_eq_of_mem_left, ContMDiffWithinAt.mfderivWithin, WithLp.prod_dist_eq_of_L1, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, LipschitzWith.vsub, HasFPowerSeriesOnBall.uniform_geometric_approx', intervalIntegral.smul_integral_comp_mul_left, Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, frontier_sphere', ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, eventually_norm_symmL_trivializationAt_comp_self_lt, ContinuousLinearMap.IsPositive.add, HasFPowerSeriesWithinOnBall.comp_sub, disjoint_ball_closedBall_iff, Filter.EventuallyEq.derivWithin_eq_of_mem, not_sameRay_iff_abs_lt_norm_sub, CPolynomialOn.deriv, ProbabilityTheory.IsGaussian.integral_dual, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', uniformConcaveOn_zero, Filter.EventuallyEq.deriv_eq, CurveIntegrable.fun_neg, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, Orientation.abs_areaForm_le, ZLattice.exists_forall_abs_repr_le_norm, SummableLocallyUniformlyOn.of_locally_bounded_eventually, IsOpen.exists_msmooth_support_eq_aux, MeasureTheory.memLp_pi_iff, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, AnalyticAt.iterated_deriv, Complex.continuousAt_arg_coe_angle, isScalarTower_sphere_closedBall_ball, LinearIsometryEquiv.edist_map, IsBoundedSMul.of_enorm_smul_le, MeasureTheory.Measure.addHaar_image_continuousLinearEquiv, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, ext_chart_model_space_apply, ContinuousLinearMap.norm_extendTo𝕜', InnerProductGeometry.angle_smul_smul, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticWithinAt.comp_sub, MeasureTheory.Lp.simpleFunc.toLp_zero, AnalyticOnNhd.deriv_of_isOpen, ModularForm.SL_slash_def, CFC.log_pow', OpenPartialHomeomorph.contDiff_unitBallBall, LinearIsometry.coe_toAffineIsometry, differentiableAt_iff_comp_const_sub, linearIndependent_of_ne_zero_of_inner_eq_zero, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, InnerProductGeometry.cos_angle_add_mul_norm_of_inner_eq_zero, MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral, ModelWithCorners.convex_range, ContDiffMapSupportedIn.postcompCLM_apply, LinearIsometry.comp_continuous_iff, curveIntegrable_symm, SeparationQuotient.inner_mk_mk, TemperedDistribution.smulLeftCLM_add, DoubleCentralizer.coeHom_apply, ContinuousAlternatingMap.curryLeft_zero, signedDist_neg, IsContDiffImplicitAt.bijective, eHolderNorm_nsmul, ProbabilityTheory.covarianceBilin_apply_basisFun, ContDiffBump.integral_normed_smul, ContMDiffFiberwiseLinear.hasGroupoid, exists_contMDiff_zero_iff_one_iff_of_isClosed, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ProbabilityTheory.instIsGaussianMapHAdd_1, ContinuousAlternatingMap.restrictScalarsLI_apply, Orientation.oangle_sign_smul_right, Bundle.contMDiffOn_proj, Orientation.normSq_kahler, contDiffWithinAtProp_self_target, ContinuousMultilinearMap.opNNNorm_prod, ContinuousLinearEquiv.comp_right_differentiableOn_iff, UniformSpace.Completion.coe_toComplₗᵢ, ContinuousLinearMap.opENorm_comp_le, hasGradientAt_iff_hasFDerivAt, Asymptotics.IsTheta.isThetaTVS, MeasureTheory.Lp.coeFn_nonneg, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, BoundedContinuousFunction.coe_abs, ProbabilityTheory.IndepFun.charFunDual_map_add_eq_mul, HasFPowerSeriesOnBall.tendsto_partialSum, writtenInExtChartAt_extChartAt, continuousAt_extChartAt_symm, maximal_orthonormal_iff_orthogonalComplement_eq_bot, MeasureTheory.nnnorm_indicatorConstLp_le, locallyFinsuppWithin.logCounting_divisor, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₁, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, DomMulAct.dist_smul_Lp, SemilinearIsometryClass.toContinuousSemilinearMapClass, Bundle.contMDiff_proj, gauge_unit_ball, Filter.Tendsto.zero_smul_isBoundedUnder_le, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, contMDiffAt_iff_target_of_mem_source, HasFPowerSeriesOnBall.factorial_smul, MeasureTheory.Lp.instFourierInvAdd, ContinuousAlternatingMap.norm_image_sub_le', HasFPowerSeriesWithinAt.prod, MeasureTheory.memLp_piLp_iff, VectorFourier.contDiff_fourierIntegral, ContMDiffMap.coe_smul, singleton_add_closedBall_zero, Memℓp.star_iff, iteratedFDeriv_succ_apply_right, Asymptotics.IsEquivalent.const_add_of_norm_tendsto_atTop, Submodule.isOrtho_top_right, FormalMultilinearSeries.leftInv_coeff_one, ConcaveOn.leftDeriv_le_slope, ODE.FunSpace.exists_forall_closedBall_funSpace_dist_le_mul, AnalyticOn.add, IsContDiffImplicitAt.eventually_implicitFunction_apply_eq, ContinuousLinearMap.hasMFDerivAt, TensorProduct.assocIsometry_apply, sameRay_iff_inv_norm_smul_eq, Matrix.toLin_conjTranspose, mdifferentiableOn_continuousLinearMapCoordChange, derivWithin_one, hasDerivAtFilter_intCast, fderiv_deriv, BoxIntegral.integral_smul, IntervalIntegrable.comp_mul_left_iff, hasFPowerSeriesAt_pi_iff, mfderivWithin_eq_fderivWithin, MeasureTheory.eLpNorm'_const_smul, MeasureTheory.Lp.coeFn_lpSMul, MeasureTheory.Submartingale.stronglyAdapted, ProbabilityTheory.integral_tilted_mul_eq_mgf, ConcaveOn.derivWithin_le_slope, TestFunction.tsupport_subset, hasDerivWithinAt_univ, LinearIsometryEquiv.hasFDerivAt, ContDiffBump.apply, MeasureTheory.Lp.simpleFunc.coeFn_zero, LinearIsometry.isometry, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, Orientation.oangle_sign_add_smul_left, PiLp.dist_toLp_single_same, differentiableAt_add_const_iff, MeasureTheory.UniformIntegrable.aestronglyMeasurable, ContinuousLinearEquiv.contDiffWithinAt_comp_iff, uniqueMDiffWithinAt_iff, VectorField.eventuallyEq_mpullback_mpullbackWithin_extChartAt, signedDist_vsub_self_rev, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, LinearIsometryEquiv.rTensor_apply, AnalyticAt.comp_sub, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, InnerProductSpace.isStarProjection_rankOne_self, deriv_sub_const, coord_norm', ProperCone.relative_hyperplane_separation, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, ContinuousAlternatingMap.le_opNorm_mul_pow_card_of_le, extChartAt_model_space_eq_id, MeasureTheory.condExpIndSMul_nonneg, tendstoUniformlyOn_tsum_of_cofinite_eventually, contDiff_clm_apply_iff, HasFPowerSeriesAt.hasFDerivAt, Seminorm.cont_withSeminorms_normedSpace, hasStrictFDerivAt_finCons', analyticAt_iff_analytic_smul, map_extChartAt_nhdsWithin, to_lipschitzAdd, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, interior_sphere, ModelWithCorners.continuousOn_symm, MeromorphicOn.sum, ClosedSubmodule.orthogonal_eq_top_iff, eventually_enorm_mfderiv_extChartAt_lt, UniformConcaveOn.strictConcaveOn, enorm_tangentSpace_vectorSpace, QuadraticMap.lineDifferentiableAt, ContinuousMap.norm_lt_iff, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, ContinuousMap.norm_lt_iff_of_nonempty, LinearMap.mkContinuous₂_norm_le, MeasureTheory.Integrable.comp_fst_iff, DifferentiableWithinAtProp_self, infEDist_thickening, signedDist_linear_apply, coe_addEquiv_lpBCF_symm, LeftInvariantDerivation.map_smul, Orientation.rotation_eq_matrix_toLin, FormalMultilinearSeries.zero_radius, oneTangentSpaceIcc_def, smul_unitBall, intervalIntegral.integral_const_of_cdf, dist_birkhoffSum_apply_birkhoffSum, MeasureTheory.ConvolutionExistsAt.add_distrib, IsSymmSndFDerivAt.iteratedFDeriv_cons, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, intervalIntegral.integral_const', MeasureTheory.L1.dist_def, BoundedContinuousFunction.norm_def, InnerProductSpaceable.add_left, VectorPrebundle.totalSpaceMk_isInducing, ContinuousLinearMap.comp_analyticOn, hasStrictDerivAt_const, ModelWithCorners.uniqueMDiffOn, BoundedContinuousFunction.norm_lt_iff_of_compact, NormedSpace.unbounded_univ, ModelWithCorners.hasMFDerivWithinAt_symm, ConcaveOn.deriv_le_slope, Bundle.Trivial.trivialization.isLinear, ContinuousLinearMap.coeFn_compLpL, OpenPartialHomeomorph.extend_image_nhds_mem_nhds_of_boundaryless, stronglyMeasurable_deriv, StrongDual.norm_toLpₗ_le, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, CircleIntegrable.sum, hasFDerivWithinAt_euclidean, ClosedSubmodule.mem_orthogonal_iff, Orientation.oangle_sub_left_smul_rotation_pi_div_two, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, AffineIsometryEquiv.coe_vaddConst_symm, tangentConeAt_real_subset_isRCLikeNormedField, ProperCone.innerDual_insert, range_deriv_subset_closure_span_image, Module.Basis.parallelepiped_eq_map, ContDiffMapSupportedIn.norm_apply_le_seminorm, integral_withDensity_eq_integral_toReal_smul, contDiffOn_clm_apply, ContinuousLinearMap.le_opNNNorm, SmoothPartitionOfUnity.sum_eq_one, MeasureTheory.Lp.instIsCentralScalar, ModelWithCorners.continuousAt, LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, FormalMultilinearSeries.id_apply_zero, SchwartzMap.hasDerivAt, Submodule.starProjection_orthogonal, OnePoint.IsBoundedAt.smul_iff, LinearIsometry.antilipschitz, PiLp.dist_sq_eq_of_L2, ContDiffBump.continuous, PiTensorProduct.mapLMultilinear_apply_apply, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, ContinuousLinearMap.instNonnegSpectrumClassRealId, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, signedDist_self, iteratedDeriv_eq_iterate, isBoundedBilinearMap_apply, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, fderiv_comp_add_right, MeasureTheory.L1.norm_integral_le, hasDerivAtFilter_iff_tendsto, HasFPowerSeriesAt.eventually_differentiableAt, ModelWithCorners.continuous, Matrix.IsHermitian.eigenvectorUnitary_coe, Submodule.ClosedComplemented.of_finiteDimensional, InnerProductSpace.HarmonicOnNhd.const_smul, ContinuousAffineMap.hasFDerivAtFilter, curveIntegrable_cast_iff, MeasureTheory.setIntegral_indicatorConstLp, signedDist_vsub_self, ModelWithCorners.continuousWithinAt_symm, ContDiffOn.continuousLinearMap_comp, ODE.FunSpace.mem_closedBall, stereographic_target, ContDiff.smul, Unitary.norm_map, ProbabilityTheory.isGaussian_conv, Affine.Simplex.exists_forall_signedInfDist_eq_iff_eq_incenter, LinearMap.instStarModuleId, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, Submodule.starProjection_apply_mem, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, VectorPrebundle.mem_trivialization_at_source, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, InnerProductSpace.rankOne_comp_rankOne, TemperedDistribution.fourierTransform_apply, ContinuousLinearMap.opNorm_zero, NormedAddGroupHom.ker_completion, MeasureTheory.convolution_lsmul_swap, Orientation.oangle_add_right_smul_rotation_pi_div_two, ProbabilityTheory.Kernel.continuous_integral_integral_comp, not_sameRay_iff_norm_add_lt, mdifferentiableAt_neg, HasFTaylorSeriesUpToOn.prodMk, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, singleton_sub_ball_zero, isSeparable_range_deriv, ImplicitFunctionData.implicitFunction_apply_image, Orientation.inner_smul_rotation_pi_div_two_left, BoxIntegral.hasIntegral_const, ZLattice.volume_image_eq_volume_div_covolume, hasDerivAtFilter_finCons', MeasureTheory.Supermartingale.smul_nonpos, LinearIsometryEquiv.isometry, LinearIsometry.toLinearMap_rTensor, SemiNormedGrp.completion_obj_str, PiLp.hasStrictFDerivAt_apply, ContinuousMap.toLp_injective, hasStrictFDerivAt_fst, ModelWithCorners.continuous_symm, LinearMap.mkContinuous_norm_le', setIntegral_withDensity_eq_setIntegral_smul, UniqueMDiffOn.uniqueDiffOn_inter_preimage, mdifferentiableWithinAt_iff_target_inter', BoundedContinuousFunction.nnnorm_eq_iSup_nnnorm, isConformalMap_complex_linear_conj, MeromorphicAt.meromorphicTrailingCoeffAt_smul, PiTensorProduct.mapL_apply, MeasureTheory.indicatorConstLp_sub, LinearIsometryEquiv.submoduleMap_symm_apply_coe, hasDerivWithinAt_finCons', mellin_comp_rpow, ContinuousAffineMap.hasFDerivAt, MeasureTheory.Submartingale.sum_smul_sub', BoundedContinuousFunction.instIsBoundedSMul_1, deriv.fun_neg, dist_partial_sum_le_of_le_geometric, ContinuousMultilinearMap.norm_iteratedFDeriv_le', support_iteratedFDeriv_subset, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, AnalyticOnNhd.deriv, instContMDiffInv₀ModelWithCornersSelf, Submodule.le_orthogonal_iff_le_orthogonal, fderiv_fun_neg, contMDiffOn_iff_source_of_mem_maximalAtlas, intervalIntegral.smul_integral_comp_mul_add, curveIntegral_zero, Function.HasTemperateGrowth.fun_add, DomAddAct.edist_vadd_Lp, BoundedContinuousFunction.nnnorm_coe_le_nnnorm, hasFDerivAt_comp_sub, LipschitzWith.locallyIntegrable_lineDeriv, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, SmoothBumpCovering.embeddingPiTangent_injOn, contMDiffWithinAt_extChartAt_symm_target_self, MeasureTheory.L1.aemeasurable_coeFn, Real.Angle.continuous_coe, Submodule.mem_orthogonal, ContinuousAffineMap.norm_image_zero_le, exists_dual_vector', MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, FormalMultilinearSeries.apply_eq_prod_smul_coeff, Orientation.kahler_rightAngleRotation_left, ConcaveOn.slope_le_of_hasDerivWithinAt, hasFPowerSeriesWithinAt_pi_iff, CircleIntegrable.const_fun_smul, tangentMap_chart_symm, UniqueMDiffWithinAt.bundle_preimage, isCompactOperator_iff_isCompact_closure_image_closedBall, MeasureTheory.eLpNorm_const_smul, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, ModelWithCorners.symm_map_nhdsWithin_image, hasDerivAt_iff_isLittleO_nhds_zero, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, PadicInt.hasSum_mahler, InnerProductSpace.toMatrix_rankOne, contMDiffAt_vectorSpace_iff_contDiffAt, eventually_norm_symmL_trivializationAt_lt, MeasureTheory.isTightMeasureSet_of_inner_tendsto, differentiableAt_comp_add_left, ContinuousMultilinearMap.le_opNorm_mul_pow_card_of_le, deriv_const, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, differentiableAt_euclidean, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, AnalyticAt.fun_add, hasFDerivAtFilter_finCons, PiTensorProduct.liftIsometry_comp_mapL, Function.locallyFinsuppWithin.logCounting_divisor_eq_circleAverage_sub_const, contMDiffWithinAt_iff_contDiffWithinAt, iteratedFDeriv_smul_const_apply, MeasureTheory.Measure.addHaar_smul_of_nonneg, MeasureTheory.condExpIndL1Fin_disjoint_union, OrthonormalBasis.reindex_toBasis, ContinuousLinearMap.opNorm_le_iff, Real.Angle.sin_eq_iff_eq_or_add_eq_pi, mdifferentiableOn_iff_of_mem_maximalAtlas', MeasureTheory.Lp.instIsBoundedSMul, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, Orientation.oangle_smul_right_of_neg, ContinuousMap.coe_toLp, Real.fourierIntegral_convergent_iff, Bundle.mdifferentiableWithinAt_zeroSection, CPolynomialOn.continuousOn, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, BoundedContinuousFunction.norm_lt_iff_of_nonempty_compact, Orientation.abs_areaForm_of_orthogonal, Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two, LipschitzOnWith.ae_differentiableWithinAt_real, LeftInvariantDerivation.coe_smul, BoundedContinuousFunction.nnnorm_le, closedBall_add_singleton, HasFPowerSeriesAt.deriv, HasFPowerSeriesWithinAt.continuousWithinAt_insert, IsBoundedBilinearMap.hasStrictFDerivAt, LinearIsometryEquiv.symm_rTensor, NormedSpace.instPathConnectedSpace, DomMulAct.instIsIsometricSMulSubtypeAEEqFunMemAddSubgroupLp, IsUltrametricDist.nonarchimedeanAddGroup, uniqueMDiffWithinAt_iff_inter_range, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, LinearMap.eq_adjoint_iff_basis, MeasureTheory.Lp.antitone, TensorProduct.commIsometry_symm, isStarProjection_starProjection, isClosed_nullSubmodule, MeasureTheory.integral_rnDeriv_smul, StrictConvexOn.lt_slope_of_hasDerivWithinAt, unitary.norm_map, Set.EqOn.iteratedFDerivWithin, ContinuousLinearEquiv.fderiv, fourierCoeff_eq_intervalIntegral, CStarAlgebra.conjugate_le_norm_smul', continuousOn_extChartAt_symm, SchwartzMap.tsupport_fderivCLM_subset, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, ContDiffAt.smul_const, SeparatingDual.completeSpace_of_completeSpace_continuousLinearMap, ContinuousLinearEquiv.mdifferentiableWithinAt, ContinuousLinearMap.NonlinearRightInverse.right_inv', ContinuousLinearEquiv.mdifferentiable, AnalyticAt.exists_eq_sum_add_pow_mul, TangentBundle.trivializationAt_eq_localTriv, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, iteratedDerivWithin_comp_const_smul, ContinuousLinearMap.integral_comp_L1_comm, ContDiffWithinAt.continuousWithinAt, curveIntegralFun_add, ContinuousLinearMap.opNorm_zero_iff, MeasureTheory.Measure.map_addHaar_smul, InnerProductSpace.gramSchmidt_def'', WithLp.prod_edist_eq_of_L1, AnalyticOnNhd.fderiv, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_two, PMF.integral_eq_sum, AnalyticAt.exists_mem_nhds_analyticOnNhd, hasDerivAt_intCast, SeparationQuotient.nnnorm_mk, nndist_midpoint_midpoint_le, Orientation.kahler_rotation_left, MeasureTheory.Integrable.withDensityᵥ_trim_eq_integral, PiTensorProduct.liftIsometry_symm_apply, writtenInExtChartAt_extChartAt_symm, SchwartzMap.smulLeftCLM_neg, intervalIntegral.inv_smul_integral_comp_div, ContinuousMultilinearMap.iteratedFDerivComponent_apply, mdifferentiable_addInvariantVectorField, ContinuousLinearEquiv.comp_differentiableAt_iff, deriv_one, MeasureTheory.L1.measurable_coeFn, MeasureTheory.aestronglyMeasurable_condExpL1CLM, controlled_closure_range_of_complete, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, iteratedFDeriv_succ_eq_comp_right, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, ValueDistribution.logCounting_sum_top_eventuallyLE, ContinuousMultilinearMap.changeOriginSeries_support, ContDiffBump.integral_le_measure_closedBall, ContinuousLinearEquiv.comp_hasFDerivAt_iff', WeakFEPair.functional_equation₀, SchwartzMap.inner_fourierTransformCLM_toL2_eq, BoundedContinuousFunction.nnnorm_const_le, MeasureTheory.SimpleFunc.setToSimpleFunc_zero, CPolynomialOn.add, frontier_closedBall, curveIntegralFun_sub, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, inner_map_self_eq_zero, FormalMultilinearSeries.isLittleO_of_lt_radius, tsupport_iteratedFDeriv_subset, nhdsWithin_extChartAt_target_eq_of_mem, ball_add, MeasureTheory.continuous_integral, convexHull_ediam, iteratedDerivWithin_fun_sum, MemHolder.nnHolderNorm_nsmul, aemeasurable_withDensity_iff, Real.zero_at_infty_fourier, Orientation.inner_sq_add_areaForm_sq, ContinuousMultilinearMap.hasFDerivAt, signedDist_smul_of_neg, MeasureTheory.Lp.simpleFunc.isBoundedSMul, MeasureTheory.lpNorm_const_smul, disjoint_closedBall_closedBall_iff, ContinuousLinearMap.rotation_apply, circleAverage_sub_sub_inv_smul_of_differentiable_on, differentiableOn_euclidean, mdifferentiableWithinAt_iff_of_mem_source', nnnorm_tsum_le, hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, Real.Angle.coe_nsmul, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, MeasureTheory.Lp.coe_posPart, circleIntegral.integral_smul_const, InnerProductSpace.mem_span_gramSchmidt, ContinuousMultilinearMap.nnnorm_ofSubsingleton, aemeasurable_deriv, add_mem_closedBall_add_iff, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, VectorPrebundle.mem_base_pretrivializationAt, Set.instTietzeExtensionUnitClosedBall, ContinuousLinearMap.continuousOn_uncurry_of_multilinear, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, mdifferentiableWithinAt_iff_source_of_mem_maximalAtlas, ContDiff.continuous_iteratedFDeriv, mdifferentiableOn_iff_differentiableOn, InnerProductGeometry.angle_add_eq_arccos_of_inner_eq_zero, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, continuous_negPart, DiffContOnCl.continuousOn, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, MeasureTheory.integrable_condExpL2_indicator, infEdist_cthickening, iteratedFDeriv_comp_add_left', ProbabilityTheory.isPosSemidef_covarianceBilinDual, ImplicitFunctionData.range_rightDeriv, Metric.isPathConnected_closedBall, tangentCoordChange_self, toSpanSingleton_derivWithin, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, ContinuousAlternatingMap.isLeast_opNNNorm, norm_tsum_le_tsum_norm, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, MeasureTheory.Lp.zero_smul, Real.Angle.sign_add_pi, HasFiniteFPowerSeriesOnBall.eq_partialSum', mdifferentiableWithinAt_iff, starₗᵢ_toContinuousLinearEquiv, LinearIsometry.enorm_toContinuousLinearMap, BoxIntegral.integrable_iff_cauchy_basis, coe_lpBCFₗᵢ_symm, range_mfderiv_coe_sphere, Real.Angle.toReal_add_of_sign_pos_sign_neg, Complex.wedgeIntegral_add_wedgeIntegral_eq, uniqueMDiffOn_iff_uniqueDiffOn, coe_lpPiLpₗᵢ_symm, IsBoundedBilinearMap.toContinuousLinearMap_apply, VectorBundleCore.localTrivAt_apply_mk, BoundedContinuousFunction.coe_zsmulRec, Complex.norm_sub_one_sq_eqOn_sphere, differentiable_piLp, ClosedSubmodule.inf_orthogonal_eq_bot, HasFPowerSeriesOnBall.pi, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, Submodule.reflection_eq_self_iff, MeasureTheory.weightedSMul_union', MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, stereographic_source, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, ContDiff.iteratedFDeriv_right', ConvexOn.derivWithin_le_slope, contMDiffAt_extChartAt, Affine.Simplex.sign_signedInfDist_touchpoint_empty, ContinuousLinearMap.norm_id_le, deriv.neg', AnalyticAt.analyticOrderAt_ne_top, MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq, SchwartzMap.pairing_continuous_left, MultilinearMap.mkContinuous_norm_le, signedDist_vadd_right_swap, iteratedDerivWithin_fun_const_smul, LinearIsometryEquiv.toAffineIsometryEquiv_linearIsometryEquiv, DomMulAct.smul_Lp_zero, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', SchwartzMap.integralCLM_apply, frontier_closedBall', InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, thickening_thickening, hasDerivAt_one, AddCircle.coe_real_preimage_closedBall_period_zero, FormalMultilinearSeries.radius_shift, ContDiffBump.tsupport_eq, MeasureTheory.stronglyMeasurable_condExp, ContinuousLinearEquiv.comp_right_differentiableAt_iff, ContDiffAt.contDiffOn, OpenPartialHomeomorph.interior_extend_target_subset_interior_range, IsBoundedSMul.of_nnnorm_smul_le, LinearIsometry.diam_range, NormedAddGroupHom.completion_toCompl, NormedSpace.polar_ball, AnalyticAt.const_smul, IsZLattice.span_top, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitone, innerSLFlip_apply, ContinuousLinearEquiv.differentiableOn, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two, coe_addEquiv_lpBCF, LinearMap.mkContinuous_norm_le, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, AnalyticWithinAt.exists_mem_nhdsWithin_analyticOn, fderivWithin_derivWithin, Submodule.ker_starProjection, ContDiffMapSupportedInClass.instBoundedContinuousMapClass, ContinuousLinearEquiv.mfderiv_eq, intervalIntegrable_const, hasLineDerivAt_iff_tendsto_slope_zero, differentiableAt_comp_add_right, thickening_cthickening, MeasureTheory.lpMeasSubgroupToLpTrim_norm_map, InnerProductSpace.toContinuousLinearMap_toDualMap, Complex.nndist_conj_self, ProbabilityTheory.covarianceBilin_real, NormedAddGroupHom.completion_neg, ContinuousLinearEquiv.comp_contDiffWithinAt_iff, Real.Angle.natCast_mul_eq_nsmul, MeasureTheory.integral_const, IsBoundedBilinearMap.continuous_right, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, add_ball, ContinuousLinearMap.measurable_coe, HasDerivWithinAt.smul_const, ContinuousLinearMap.analyticOn, ContinuousLinearMap.nndist_le_opNNNorm, CStarAlgebra.star_left_conjugate_le_norm_smul, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, norm_iteratedFDeriv_prod_le, contDiff_nat_iff_continuous_differentiable, MeasureTheory.L1.SimpleFunc.setToL1S_zero_left, absorbent_ball, MeasureTheory.Lp.simpleFunc.coe_smul, SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, OrderedFinpartition.compAlongOrderFinpartition_apply, Submodule.topologicalClosure_eq_top_iff, mdifferentiableOn_coordChangeL, MeasureTheory.Measure.addHaar_real_ball_center, Finset.analyticOnNhd_sum, LinearIsometryEquiv.coe_symm_toContinuousLinearEquiv, HasFiniteFPowerSeriesOnBall.add, MeasureTheory.Lp.smul_def, iteratedDeriv_comp_const_sub, ContDiffAt.iteratedFDeriv_comp_perm, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, ContinuousLinearMap.opNorm_lsmul_le, TensorProduct.enorm_assoc, MeasureTheory.Lp.norm_exponent_zero, dist_vsub_vsub_le, hasFDerivWithinAt_comp_add_right, MeasureTheory.Lp.smul_neg, contMDiffWithinAt_extChartAt_symm_target, Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two, MultilinearMap.mkContinuousMultilinear_norm_le, writtenInExtChartAt_sumSwap_eventuallyEq_id, SchwartzMap.sum_apply, Bundle.contMDiff_zeroSection, MeasureTheory.L1.stronglyMeasurable_coeFn, dist_self_sub_left, hasDerivAt_natCast, ContinuousMap.coeFn_toLp, Submodule.reflection_bot, Real.Angle.zsmul_eq_iff, IsometryEquiv.vaddConst_apply, ContinuousMultilinearMap.opNNNorm_pi, innerSL_apply_norm, FiberBundle.extChartAt_target, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, InnerProductSpace.toDual_apply_eq_toDualMap_apply, closedBall_normSeminorm, IntervalIntegrable.intervalIntegrable_slope, ContinuousLinearMap.isPositive_def', Orientation.oangle_add_cyc3_neg_left, LinearMap.adjoint_inner_left, MemHolder.nnHolderNorm_smul, ODE.FunSpace.continuous_compProj, OpenPartialHomeomorph.unitBallBall_source, BoxIntegral.Integrable.tendsto_integralSum_toFilteriUnion_single, ProperCone.innerDual_empty, OpenPartialHomeomorph.univUnitBall_apply, ContinuousLinearMap.norm_compL_le, AnalyticAt.differentiableAt, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, ContMDiffVectorBundle.contMDiffOn_coordChangeL, MeasureTheory.Measure.addHaar_preimage_linearMap, deriv_natCast, ProbabilityTheory.condVar_of_sigmaFinite, curveIntegral_eq_intervalIntegral_deriv, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, LinearIsometryEquiv.toContinuousLinearMap_toLinearIsometry, meromorphicOrderAt_smul_of_ne_zero, ball_add_singleton, HasFPowerSeriesAt.sub, MeasureTheory.SimpleFunc.memLp_of_isFiniteMeasure, MeasureTheory.Lp.instSMulCommClass, ContDiffAt.continuousLinearMap_comp, BoxIntegral.integralSum_smul, ContinuousMultilinearMap.norm_domDomCongr, Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two, HasFTaylorSeriesUpTo.continuous, ZSpan.quotientEquiv.symm_apply, contMDiff_prod_module_iff, Real.tendsto_integral_exp_smul_cocompact, lipschitzWith_sub, MeasureTheory.setIntegral_tilted', VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, ContDiffAt.dist, Submodule.ker_orthogonalProjection, Orientation.kahler_mul, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, OpenPartialHomeomorph.contDiffOn_restrContDiff_target, Submodule.reflection_map_apply, mdifferentiableAt_section, sameRay_iff_norm_sub, ProbabilityTheory.covarianceBilinDual_comm, LinearIsometryEquiv.continuousAt, TensorProduct.dist_tmul_le, Metric.diam_sphere_eq, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt', ProbabilityTheory.isGaussian_iff_charFunDual_eq, BoxIntegral.integralSum_disjUnion, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, MeasureTheory.L1.SimpleFunc.integral_smul, CPolynomialAt.exists_ball_cpolynomialOn, iteratedDerivWithin_smul, ContinuousMultilinearMap.curry0_norm, ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, Submodule.sup_orthogonal_of_hasOrthogonalProjection, measurableSet_of_differentiableWithinAt_Ioi, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, TensorProduct.norm_lid, MeasureTheory.lpTrimToLpMeas_ae_eq, ContinuousLinearMap.norm_fst, ContinuousAlternatingMap.nnnorm_toContinuousMultilinearMap, Meromorphic.add, SmoothPartitionOfUnity.exists_pos_of_mem, OrderedFinpartition.applyOrderedFinpartition_apply, ContinuousMap.nnnorm_eq_iSup_nnnorm, Asymptotics.IsEquivalent.tendsto_nhds_iff, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, continuousAt_extChartAt', SchwartzMap.instLocallyConvexSpace, MeasureTheory.UniformIntegrable.memLp, differentiableAt_neg_iff, ContinuousLinearMap.opNNNorm_comp_le, lp.single_add, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, Bundle.mdifferentiable_proj, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_nnnorm, Submodule.isOrtho_iSup_right, TensorProduct.toLinearEquiv_assocIsometry, ContinuousMultilinearMap.analyticOn, DomAddAct.vadd_Lp_const, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, Orientation.oangle_smul_smul_self_of_nonneg, MeromorphicNFAt.smul_analytic, OpenPartialHomeomorph.extend_symm_continuousWithinAt_comp_right_iff, AnalyticOnNhd.add, MemHolder.nnHolderNorm_add_le, Submodule.IsOrtho.disjoint, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, ZLattice.volume_image_eq_volume_div_covolume', MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv, PiTensorProduct.mapL_opNorm, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, toMatrix_innerSL_apply, ClosedSubmodule.sInf_orthogonal, ContinuousMap.toLp_comp_toContinuousMap, Function.HasTemperateGrowth.smul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, MeasureTheory.integrable_const_iff, rescale_to_shell_zpow, iteratedFDeriv_comp_add_right, MeasureTheory.Measure.addHaar_ball_mul_of_pos, infEDist_cthickening, Orientation.rightAngleRotation_trans_neg_orientation, Orientation.volumeForm_robust', exists_smooth_zero_one_of_isClosed, ModelWithCorners.mdifferentiable, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, balanced_closedBall_zero, iteratedFDeriv_zero_fun, ModelWithCorners.range_eq_closure_interior, Submodule.HasOrthogonalProjection.exists_orthogonal, ModelWithCorners.range_subset_closure_interior, ContinuousLinearEquiv.comp_contDiffOn_iff, ModelWithCorners.convex_range', NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MeasureTheory.Lp.smul_comm, SchwartzMap.continuous_toLp, Manifold.IsImmersionAt.target_subset_preimage_target, SchwartzMap.coe_coeHom, Submodule.starProjection_top, NormedSpace.toLocallyConvexSpace, hasFDerivAt_sub_const, MeasureTheory.isComplete_aestronglyMeasurable, Submodule.iInf_orthogonal, ContinuousLinearMap.norm_restrictScalars, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, TestFunction.hasCompactSupport', MeasureTheory.Lp.simpleFunc.isUniformEmbedding, nndist_vsub_cancel_left, signedDist_vadd_left, tangentBundleModelSpaceHomeomorph_coe_symm, AffineSpace.asymptoticNhds_le_cobounded, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, Pretrivialization.continuousLinearMap_apply, derivWithin_sub_const_fun, EuclideanGeometry.oangle_add_oangle_rev, MeasureTheory.L1.integral_zero, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedSpace.sInter_polar_eq_closedBall, ContDiffBump.convolution_eq_right, TemperedDistribution.instFourierInvSMul, hasFDerivWithinAt_fst, ExistsContDiffBumpBase.w_def, IsEquivalent.summable_iff, measurable_derivWithin_Ioi, MeasureTheory.Measure.setIntegral_comp_smul, ModelWithCorners.transContinuousLinearEquiv_range, ContDiffOn.smul, OpenPartialHomeomorph.map_extend_nhdsWithin, ContinuousMap.norm_restrict_mono_set, TensorProduct.nnnorm_assoc, WeakFEPair.hf_modif_FE, tangentBundleCore_localTriv_baseSet, FormalMultilinearSeries.analyticAt_changeOrigin, deriv_smul_const, AffineIsometryEquiv.vadd_vsub, PiTensorProduct.tprodL_apply, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, HasFPowerSeriesWithinAt.continuousWithinAt, HasFPowerSeriesAt.tendsto_partialSum, Diffeomorph.uniqueDiffOn_preimage, ZSpan.repr_fract_apply, SmoothBumpCovering.embeddingPiTangent_injective, ContinuousLinearMap.orthogonal_range, contDiff_one_iff_hasFDerivAt, MeasureTheory.charFunDual_prod', HasFiniteFPowerSeriesAt.add, Submodule.lipschitzWith_starProjection, HasFPowerSeriesAt.hasDerivAt, ContinuousLinearMap.isPositive_iff_complex, hasDerivWithinAt_congr_set', BoundedContinuousFunction.norm_coe_le_norm, instIsContMDiffRiemannianBundleTrivial, MeromorphicOn.min_divisor_le_divisor_add, BoundedContinuousFunction.isBounded_range_integral, SchwartzMap.toLp_fourierTransform_eq, ContDiff.dist, MeasureTheory.setLIntegral_nnnorm_condExpIndSMul_le, LinearIsometry.completeSpace_map, HasFPowerSeriesAt.eventually_hasSum_sub, deriv_comp_neg, exists_contMDiff_support_eq_eq_one_iff, DiffContOnCl.two_pi_i_inv_smul_circleIntegral_sub_inv_smul, fourierIntegral_half_period_translate, BoxIntegral.integralSum_sub_partitions, MeasureTheory.continuous_indicatorConstLp_set, ediam_smul₀, MeasureTheory.withDensityᵥ_zero, ContinuousLinearMap.comp_cpolynomialOn, MeasureTheory.condExpIndL1_of_not_measurableSet, ContMDiffSection.contMDiff, ContinuousLinearMap.opNorm_smul_le, iteratedFDerivWithin_comp_add_left', InnerProductSpace.span_gramSchmidt, MeasureTheory.Lp.smul_add, MeasureTheory.withDensitySMulLI_apply, IsBoundedBilinearMap.deriv_apply, hasDerivWithinAt_const_add_iff, MeasureTheory.Measure.addHaar_nnreal_smul, EuclideanGeometry.hasFDerivAt_inversion, Finset.analyticOnNhd_fun_sum, Orientation.kahler_map, MeasureTheory.convolutionExistsAt_iff_integrable_swap, ContinuousMultilinearMap.le_opNorm_mul_prod_of_le, PiLp.hasFDerivAt_ofLp, TemperedDistribution.instFourierInvAdd, dist_div_norm_sq_smul, MeasureTheory.Lp.fourierInv_toTemperedDistribution_eq, MeasureTheory.memLp_prodLp_iff, torusIntegral_smul, ZLattice.comap_comp, stronglyMeasurable_derivWithin_Ici, exists_deriv_eq_slope', norm_iteratedFDeriv_one, posTangentConeAt_mono, LinearIsometryEquiv.comp_differentiable_iff, Orientation.oangle_sign_add_left, ZSpan.instDiscreteTopologySubtypeMemAddSubgroupToAddSubgroupIntSpanRangeCoeBasisRealOfFinite, UnitAddTorus.hasSum_prod_mFourierCoeff, OrthonormalBasis.span_apply, isConformalMap_id, ContinuousMultilinearMap.analyticOnNhd, ClosedSubmodule.orthogonal_toSubmodule_eq, MeasureTheory.integrable_comp_mul_right_iff, LeftInvariantDerivation.map_sub, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, contMDiff_equivTangentBundleProd, SeparationQuotient.normedMk_apply, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, differentiableAt_finCons', ContinuousLinearMap.isPositive_iff, MeasureTheory.Measure.addHaar_submodule, TensorProduct.mapIsometry_apply, SmoothPartitionOfUnity.sum_finsupport_smul_eq_finsum, ContinuousMultilinearMap.compContinuousLinearMapL_apply, AnalyticAt.analyticAt_localInverse, signedDist_apply_linear_apply, VectorBundleCore.inCoordinates_eq, DomMulAct.smul_Lp_ae_eq, TemperedDistribution.fourierInv_apply, MeromorphicOn.extract_zeros_poles, VectorField.pullbackWithin_eq, Asymptotics.IsLittleO.tendsto_inv_smul_nhds_zero, ContinuousLinearMap.norm_bilinearRestrictScalars, MeasureTheory.SimpleFunc.integrable_of_isFiniteMeasure, MonotoneOn.integrableOn_isCompact, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, ValueDistribution.logCounting_add_const, LeftInvariantDerivation.map_neg, derivWithin_fun_const, MeasureTheory.Lp.simpleFunc.isUniformInducing, ContinuousLinearMap.norm_inl, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, isOpen_analyticAt, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, MeasureTheory.integrable_swap_iff, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, ContinuousLinearEquiv.comp_differentiable_iff, SchwartzMap.instFourierSMul, HasFPowerSeriesOnBall.prod, Orientation.two_zsmul_oangle_smul_right_self, SchwartzMap.fourierTransformCLM_apply, ODE.FunSpace.intervalIntegrable_comp_compProj, AffineSubspace.signedInfDist_singleton, HasFPowerSeriesWithinOnBall.neg, norm_deriv_eq_norm_fderiv, MeasureTheory.L1.integral_add, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, DiffContOnCl.add, MeasureTheory.aestronglyMeasurable_condExpIndSMul, ZSpan.fundamentalDomain_isBounded, SlashInvariantForm.slash_S_apply, UniqueMDiffOn.bundle_preimage, Orientation.coe_basisRightAngleRotation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, PointwiseConvergenceCLM.tendsto_nhds_atTop, BoundedContinuousFunction.norm_mkOfCompact, TemperedDistribution.fourierTransform_toTemperedDistributionCLM_eq, ContinuousLinearMap.bilinearComp_zero_left, ContinuousLinearMap.nnnorm_smulRight_apply, MeromorphicAt.fun_sum, hasFPowerSeriesWithinOnBall_pi_iff, hasDerivAt_zero, MeasureTheory.Lp.constL_apply, SchwartzMap.fderivCLM_fourier_eq, BoundedContinuousFunction.star_apply, CStarModule.inner_mul_inner_swap_le, MeasureTheory.Integrable.comp_snd_iff, MeasureTheory.L2.mem_L1_inner, BoxIntegral.Integrable.tendsto_integralSum_toFilter_prod_self_inf_iUnion_eq_uniformity, dist_partial_sum', ContinuousLinearEquiv.contDiffOn_comp_iff, mellin_const_smul, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, PiLp.edist_toLp_single_same, BoxIntegral.integrable_iff_cauchy, TemperedDistribution.instLineDerivAdd, SchwartzMap.derivCLM_apply, Real.Angle.two_nsmul_coe_div_two, ContDiffAt.fderiv, HasFPowerSeriesOnBall.eventually_hasSum_sub, TensorProduct.toLinearMap_mapIsometry, ContinuousMultilinearMap.opNNNorm_le_iff, contMDiffWithinAt_iff_source, MeasureTheory.L1.integral_eq_integral, NormedSpace.exp_smul, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, MeromorphicOn.negPart_divisor_add_le_max, SchwartzMap.isBigO_cocompact_zpow_neg_nat, IsCoercive.continuousLinearEquivOfBilin_apply, LinearMap.toContinuousLinearMap₁_apply, VectorBundleCore.continuousOn_coordChange, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp, LinearIsometryEquiv.continuousOn, MeasureTheory.integral_fun_fst, Orientation.volumeForm_zero_neg, hasDerivWithinAt_inter', Bundle.contMDiffAt_section, MeasureTheory.martingalePart_eq_sum, Unitary.inner_map_map, disjoint_ball_ball_iff, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, edist_vadd_vadd_le, OpenPartialHomeomorph.nhdsWithin_extend_target_eq, SmoothPartitionOfUnity.sum_finsupport, TensorProduct.enorm_map, Orientation.areaForm_map, ContDiff.iterate_deriv', nhdsWithin_extChartAt_target_eq, ContinuousMap.linearIsometryBoundedOfCompact_apply_apply, abs_dist_sub_le_dist_add_add, Metric.contractibleSpace_eball, deriv_comp_mul_left, LinearMap.derivWithin, IsometryEquiv.constVSub_apply, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, MeasureTheory.Lp.simpleFunc.coe_indicatorConst, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, PiTensorProduct.norm_eval_le_projectiveSeminorm, iteratedFDeriv_zero_eq_comp, isCompactOperator_iff_image_ball_subset_compact, isConformalMap_iff, hasFTaylorSeriesUpToOn_succ_iff_left, BoundedContinuousFunction.coe_star, ContDiffOn.continuousOn, DilationEquiv.smulTorsor_ratio, IsConformalMap.comp, Asymptotics.isTheta_completion_left, ContinuousLinearEquiv.isBigO_comp_rev, Metric.isConnected_closedEBall, zero_at_infty_of_norm_le, MeasureTheory.condExpIndL1_disjoint_union, ConvexOn.slope_le_of_hasDerivAt, hasStrictFDerivAt_sub_const_iff, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, norm_withSeminorms, contMDiffWithinAt_iff_source_of_mem_source, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, curveIntegralFun_restrictScalars, MeasureTheory.Lp.inner_fourier_eq, contDiff_smul, Summable.of_norm_bounded, AffineMap.hasStrictDerivAt, LipschitzWith.ae_differentiableAt_of_real, ProperCone.mem_innerDual, EuclideanGeometry.Sphere.two_zsmul_oangle_center_add_two_zsmul_oangle_eq_pi, InnerProductSpace.toLinearMap_rankOne, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, meromorphicNFAt_smul_iff_right_of_analyticAt, ZLattice.isAddFundamentalDomain, SchwartzMap.memLp_top, ContinuousLinearMap.adjointAux_inner_right, IsClosed.diffContOnCl_iff, HasDerivWithinAt.Ioi_iff_Ioo, MeasureTheory.L1.aestronglyMeasurable_coeFn, MeromorphicOn.smul, Finset.analyticOn_sum, Real.Angle.continuous_sin, NormedAddCommGroup.toCompl_apply, TemperedDistribution.instLineDerivSMulComplex, ContinuousLinearEquiv.isOpen, frontier_ball, CStarAlgebra.conjugate_le_norm_smul, AnalyticAt.differentiableWithinAt, vadd_closedBall_zero, TensorProduct.commIsometry_apply, ContinuousLinearEquiv.coe_toDiffeomorph, deriv_intCast, norm_midpoint_lt_iff, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', Finset.analyticAt_sum, ContinuousLinearMap.isBigO_sub, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, Orientation.oangle_add_oangle_rev_neg_left, measurable_smul_const, WeakFEPair.functional_equation, MeasureTheory.Submartingale.sum_smul_sub, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, TensorProduct.congrIsometry_symm, BoundedContinuousFunction.coe_toContinuousMapₐ, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, Metric.isConnected_ball, ContinuousAlternatingMap.norm_ofSubsingleton_id, OpenPartialHomeomorph.restrContDiff_apply, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, VectorField.mpullbackWithin_eq_pullbackWithin, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, TorusIntegrable.add, eHolderNorm_add_le, LinearMap.IsSymmetric.orthogonal_range, MeasureTheory.Lp.eLpNorm_lt_top, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, iteratedDerivWithin_eq_equiv_comp, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le, IntervalIntegrable.iff_comp_neg, MeasureTheory.L2.integrable_inner, ProperSpace.of_locallyCompactSpace, Besicovitch.card_le_of_separated, dimH_orthogonalProjection_le, LinearIsometry.toContinuousLinearMap_injective, BoundedContinuousFunction.toLp_norm_le, instDiscreteTopologySubtypeMemSubmoduleIntComap, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.Lp.continuous_negPart, MeasureTheory.integrable_smul_iff, ModelWithCorners.isInteriorPoint_iff, ContinuousMultilinearMap.bound, MeasureTheory.Lp.coeFn_negPart, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, TangentBundle.trivializationAt_baseSet, ContDiffPointwiseHolderAt.fderiv, Orientation.inner_rightAngleRotationAux₁_right, curveIntegral_fun_sub, HasFiniteFPowerSeriesOnBall.finite, Meromorphic.iterated_deriv, SeparationQuotient.liftNormedAddGroupHom_apply, Submodule.re_inner_starProjection_nonneg, MeasureTheory.integrable_neg_iff, map_extChartAt_nhdsWithin_eq_image', MeasureTheory.Integrable.of_subsingleton, Submodule.adjoint_orthogonalProjection, Complex.dist_mk, norm_tangentSpace_vectorSpace, VectorBundleCore.trivializationAt, EuclideanGeometry.reflection_apply', ContDiffWithinAt.smul_const, MeasureTheory.condExp_of_sigmaFinite, hasFDerivWithinAt_iff_hasGradientWithinAt, iteratedDerivWithin_succ, CurveIntegrable.smul, BoxIntegral.Integrable.smul, TemperedDistribution.laplacian_toTemperedDistributionCLM_eq, cauchySeq_finset_of_norm_bounded, mdifferentiableAt_mulInvariantVectorField, ConvexOn.deriv_le_slope, ContinuousAffineMap.differentiableOn, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, Submodule.isOrtho_bot_right, LinearMap.adjoint_comp, FormalMultilinearSeries.min_radius_le_radius_add, ContinuousAlternatingMap.opNorm_le_iff, hasStrictDerivAt_one, ODE.FunSpace.continuous, ContinuousAffineMap.norm_comp_le, MeasureTheory.L1.SimpleFunc.norm_eq_integral, signedDist_right_lineMap, SchwartzMap.instZeroAtInftyContinuousMapClass, MeasureTheory.condExpIndL1_of_measure_eq_top, ConvexOn.rightDeriv_le_slope, ProbabilityTheory.uncenteredCovarianceBilin_zero, mdifferentiableAt_iff_source_of_mem_source, contMDiffAt_prod_module_iff, LinearMap.IsPositive.inner_nonneg_right, VonNeumannAlgebra.coe_toStarSubalgebra, MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter, circleIntegrable_def, IsManifold.of_discreteTopology, InnerProductSpace.span_gramSchmidt_Iio, mdifferentiableAt_iff_of_mem_source, ContinuousAlternatingMap.curryLeft_add, HasFPowerSeriesAt.pi, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, hasFDerivAt_comp_add_left, iteratedDerivWithin_succ', smul_ball, analyticWithinAt_iff_exists_analyticAt, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, LinearIsometry.strictConvexSpace_range_iff, VectorFourier.fourierPowSMulRight_apply, mdifferentiable_jacobiTheta, inner_eq_norm_mul_iff_real, interior_extChartAt_target_nonempty, NormedAddGroupHom.lipschitz, ContinuousAlternatingMap.prodLIE_apply, Submodule.mem_orthogonal_singleton_iff_inner_left, MeasureTheory.L1.SimpleFunc.norm_integral_le_norm, MeasureTheory.Submartingale.smul_nonpos, Manifold.IsImmersionAtOfComplement.writtenInCharts, SmoothBumpCovering.support_toSmoothPartitionOfUnity_subset, Bundle.Trivial.contMDiffVectorBundle, SchwartzMap.decay, OpenPartialHomeomorph.isOpen_extend_target, contDiff_succ_iff_deriv, ModelWithCorners.uniqueDiffWithinAt_image, WithCStarModule.inner_single_left, LinearIsometryEquiv.comp_hasFDerivAt_iff', Submodule.mem_adjoint_iff, FormalMultilinearSeries.summable_nnnorm_mul_pow, ContinuousLinearMap.isBoundedLinearMap, Asymptotics.isLittleO_norm_pow_id, LinearMap.isSymmetric_iff_isSelfAdjoint, ContinuousLinearMap.opNorm_le_iff_lipschitz, dist_smul₀, CPolynomialOn.fderiv, StrictConcaveOn.lt_slope_of_hasDerivWithinAt, iteratedDerivWithin_fun_add, PadicInt.mahlerEquiv_apply, SchwartzMap.convolution_flip, StrictConvexOn.derivWithin_lt_slope, Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, contDiffOn_succ_iff_derivWithin, Module.Basis.parallelepiped_map, AlternatingMap.measure_def, LinearIsometryEquiv.comp_continuousOn_iff, ContDiffAt.differentiableAt_one, InnerProductGeometry.sin_angle_add_of_inner_eq_zero, MeasureTheory.charFunDual_dirac, MeasureTheory.ConvolutionExistsAt.distrib_add, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, ContinuousLinearMap.IsPositive.adjoint_conj, WeakFEPair.hg_int, LinearIsometryEquiv.reflections_generate_dim, Complex.isometryOfOrthonormal_apply, IsConformalMap.smul, hasMFDerivAt_iff_hasFDerivAt, iteratedFDeriv_prodMk, intervalIntegral.smul_integral_comp_mul_right, Irreducible.maximalIdeal_eq_closedBall, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, LinearIsometryEquiv.toIsometryEquiv_trans, SchwartzMap.lineDerivOp_apply_eq_fderiv, deriv_add_const, intervalIntegral.integral_comp_div_add, mdifferentiableAt_iff_differentiableAt, PositiveLinearMap.leftMulMapPreGNS_mul_eq_comp, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, Orientation.areaForm_map_complex, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, CFC.log_pow, hasFDerivWithinAt_pi, BoxIntegral.integral_const, intervalIntegral.integral_smul_const, MeasureTheory.Lp.neg_smul, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, LinearIsometryEquiv.toContinuousLinearEquiv_refl, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, mdifferentiableWithinAt_iff_target_of_mem_source, OpenPartialHomeomorph.continuousAt_extend_symm, contDiffAt_zero, ContinuousLinearMap.isPositive_iff', LinearIsometryEquiv.comp_hasFDerivAt_iff, derivWithin_const_add_fun, BoundedContinuousFunction.abs_diff_coe_le_dist, mdifferentiableWithinAt_extChartAt_symm, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, Submodule.finrank_add_finrank_orthogonal, contMDiffOn_comp_projIcc_iff, map_extChartAt_nhdsWithin_eq_image, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, ContinuousLinearMap.star_eq_adjoint, SchwartzMap.integral_fourier_smul_eq, Real.dimH_segment, AffineMap.differentiableOn, NormedSpace.sphere_nonempty, ImplicitFunctionData.right_map_implicitFunction, SmoothBumpFunction.contMDiff, ModelWithCorners.mdifferentiableOn, Submodule.orthogonal_eq_top_iff, modelWithCornersSelf_partialEquiv, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, contMDiffWithinAt_extChartAt_symm_range, BoundedContinuousFunction.norm_const_eq, MeasureTheory.Lp.instOrderClosedTopologySubtypeAEEqFunMemAddSubgroupOfClosedIciTopology, ValueDistribution.logCounting_sum_top_le, ContDiffAt.laplacian_CLM_comp_left_nhds, ContDiff.differentiable, PiLp.hasFDerivAt_apply, Submodule.lipschitzWith_orthogonalProjection, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, LinearIsometryEquiv.toContinuousLinearEquiv_trans, ContDiffAt.fun_smul, HasFPowerSeriesWithinAt.neg, UniformSpace.Completion.enorm_coe, NormedAddGroupHom.ker_le_ker_completion, Orientation.inner_rightAngleRotation_right, UpperHalfPlane.contMDiffAt_ofComplex, ContMDiffOn.contMDiffOn_tangentMapWithin, fourierSubalgebra_closure_eq_top, ModularForm.prod_fintype_slash, UniformSpace.Completion.coe_toComplL, derivWithin_comp_add_const, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, derivWithin.star, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, summable_norm_iff, ball_subset_range_iff_surjective, AlternatingMap.mkContinuousLinear_norm_le, asymptoticCone_subset_singleton_of_bounded, OpenPartialHomeomorph.extend_preimage_mem_nhdsWithin, BoundedContinuousFunction.instHasSolidNorm, OrderedFinpartition.applyOrderedFinpartition_update_left, LinearIsometry.ediam_range, orthogonalFamily_iff_pairwise, BoundedContinuousFunction.norm_eq_of_nonempty, ZSpan.map_fundamentalDomain, ExistsContDiffBumpBase.y_support, convexHull_exists_dist_ge2, Affine.Simplex.ExcenterExists.signedInfDist_excenter, derivWithin_zero, ContinuousMultilinearMap.norm_compContinuous_linearIsometryEquiv, ModularForm.holo', FormalMultilinearSeries.radius_le_radius_derivSeries, Orientation.volumeForm_apply_le, ContinuousAlternatingMap.curryLeftLI_apply, ContinuousMapClass.toCocompactMapClass_of_norm, deriv_comp_const_add, ContinuousLinearMap.norm_single_le_one, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, Submodule.inf_orthogonal_eq_bot, differentiableAt_iff_comp_add_const, BoundedContinuousFunction.norm_integral_le_mul_norm, ContinuousLinearMap.norm_compSL_le, MeasureTheory.norm_condExpInd_le, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, BoundedContinuousFunction.toContinuousMapₐ_apply, curveIntegralFun_trans_aeeq_left, SmoothPartitionOfUnity.finite_tsupport, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, NormedSpace.noncompactSpace, WeakFEPair.hf_int, AnalyticOn.fun_const_smul, Submodule.isOrtho_sSup_left, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, ContDiffAt.exists_eventually_eq_hasDerivAt, DiffContOnCl.const_add, ContinuousMultilinearMap.analyticWithinAt, not_intervalIntegrable_of_sub_inv_isBigO_punctured, fderiv_star, MeasureTheory.integrable_comp_smul_iff, derivWithin_fun_const_smul', MeasureTheory.Measure.addHaar_preimage_linearEquiv, hasFDerivAtFilter_iff_tendsto, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf, ContDiffMapSupportedIn.support_subset, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, ContinuousLinearEquiv.hasFDerivAt, ContMDiffMap.smul_comp', SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, iteratedDeriv_const_smul_field, stereo_right_inv, Summable.of_norm_bounded_eventually, InnerProductSpace.isIdempotentElem_rankOne_self_iff, ContinuousLinearMap.opNorm_nonneg, AntitoneOn.integrableOn_of_measure_ne_top, ContDiffBump.hasCompactSupport_normed, OpenPartialHomeomorph.contDiffOn_univBall_symm, VectorBundleCore.mem_localTriv_source, Pretrivialization.continuousLinearMap_symm_apply, div_le_egauge_ball, hasDerivAtFilter_pi, stereographic_apply, BoundedContinuousFunction.coe_inf, Orientation.rotation_apply, NormedAddGroupHom.completion_comp, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, IsLocalFrameOn.contMDiffOn_of_coeff, MeasureTheory.Lp.coeFn_zero, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum_of_completeSpace, NormedAddCommGroup.tendsto_atTop, Submodule.inner_starProjection_left_eq_right, PiLp.proj_apply, ContinuousLinearMap.normOneClass, MeasureTheory.mem_lpMeas_self, ContinuousLinearMap.opNNNorm_subsingleton, ContMDiffAt.mfderiv, ContinuousLinearMap.IsPositive.spectrumRestricts, OrthonormalBasis.sum_repr, MeasureTheory.norm_Lp_toLp_restrict_le, hasDerivAtFilter_const_add_iff, homeomorphSphereProd_apply_snd_coe, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, nndist_vsub_cancel_right, MeasureTheory.Lp.coe_LpSubmodule, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, differentiableAt_snd, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, IsCoercive.ker_eq_bot, TestFunction.instLocallyConvexSpaceReal, ModularFormClass.bdd_at_infty_slash, ContinuousLinearEquiv.analyticOnNhd, IsConformalMap.injective, InnerProductSpaceable.innerProp, instSMulCommClass_closedBall_closedBall_ball, LinearIsometry.strictConvexSpace_range, LeftInvariantDerivation.coe_zero, hasSum_sq_fourierCoeff, contDiff_infty_iff_deriv, Metric.eball_contractible, ContinuousLinearMap.opNorm_neg, ball_zero_sub_singleton, ContinuousLinearMap.holder_add_right, MeasureTheory.Lp.enorm_def, differentiableWithinAt_smul_iff, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineIsometry, MeasureTheory.condExpInd_disjoint_union_apply, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, iteratedDeriv_one, FormalMultilinearSeries.changeOrigin_eval, differentiableWithinAt_add_const_iff, continuousAt_hom_bundle, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, Submodule.fstL_comp_coe_orthogonalDecomposition, Meromorphic.sum, UpperHalfPlane.contMDiffAt_iff, contMDiffOn_extend_symm, StrongConvexOn.strictConvexOn, Orientation.kahler_apply_apply, PiLp.dist_eq_of_L2, IsometryEquiv.vaddConst_symm_apply, Module.Basis.ofZLatticeBasis_comap, isStarProjection_iff_eq_starProjection_range, ContinuousLinearMap.add_compLpL, Orientation.inner_rightAngleRotationAux₁_left, MeasureTheory.integral_indicator_const, UpperHalfPlane.instIsManifoldComplexModelWithCornersSelfTopWithTopENat, MeasureTheory.Lp.simpleFunc.aestronglyMeasurable, AnalyticAt.continuousAt, SchwartzMap.toZeroAtInfty_toBCF, ModelWithCorners.toHomeomorph_apply, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', VonNeumannAlgebra.mem_commutant_iff, not_summable_of_ratio_norm_eventually_ge, exists_embedding_euclidean_of_compact, UnitAddTorus.mFourierBasis_repr, MeasureTheory.condExpIndL1Fin_ae_eq_condExpIndSMul, HasFPowerSeriesAt.prod, hasStrictDerivAt_natCast, LinearIsometryEquiv.toLinearIsometry_rTensor, Orientation.areaForm_apply_self, ModularForm.slash_def, MeasureTheory.Lp.norm_measure_zero, summable_of_isBigO, LeftInvariantDerivation.toDerivation_injective, Submodule.starProjection_minimal, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, StrictConvexOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.tendsto_indicatorConstLp_set, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, lineDeriv_smul, MeasureTheory.integrable_rnDeriv_smul_iff, AlternatingMap.mkContinuousAlternating_norm_le_max, LipschitzWith.coeFn_compLp, PiTensorProduct.mapL_pow, Complex.analyticOnNhd_iff_differentiableOn, LinearMap.continuous_of_isClosed_graph, Asymptotics.isLittleO_id_const, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, ProbabilityTheory.strong_law_ae_simpleFunc_comp, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, closedBall_rpow_sub_one_eq_empty_aux, fourierBasis_repr, AffineSubspace.signedInfDist_def, MeasureTheory.Measure.addHaar_closedBall, ContinuousLinearMap.unit_le_opNorm, LinearIsometryEquiv.lipschitz, HasFPowerSeriesWithinAt.add, Metric.isPathConnected_eball, neg_closedBall, Submodule.starProjection_mem_subspace_eq_self, ConcaveOn.slope_le_rightDeriv, Complex.norm_deriv_le_of_forall_mem_sphere_norm_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, Submodule.angle_coe, exists_extension_norm_eq, NormedAddGroupHom.extension_def, HasMFDerivAt.prodMk, CStarModule.continuous_inner, ContinuousLinearMap.norm_id, MeasureTheory.submartingale_iff_condExp_sub_nonneg, FormalMultilinearSeries.id_apply_of_one_lt, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, CuspFormClass.zero_at_infty_slash, MeasureTheory.Lp.coeFn_neg, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, TensorProduct.norm_tmul, ContDiff.contDiff_fderiv_apply, LinearMap.isPositive_iff, MeasureTheory.L1.norm_Integral_le_one, Metric.contractibleSpace_closedEBall, ContinuousLinearMap.measurable_apply', ContDiffMapSupportedIn.coe_coeHom, VectorFourier.fourierIntegral_comp_add_right, NormedSpace.closedBall_inv_subset_polar_closedBall, SemilinearIsometryClass.diam_image, InnerProductSpace.isOpen_setOf_harmonicAt, ContDiffMapSupportedIn.postcompLM_apply, MeromorphicOn.fun_sum, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, ContDiff.dimH_range_le, signedDist_lineMap_right, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, TemperedDistribution.laplacian_apply_apply, ODE.FunSpace.mem_closedBall₀, MeasureTheory.Lp.coeFn_abs, MeasureTheory.stronglyAdapted_predictablePart, MeasureTheory.withDensityᵥ_smul', ModularForm.is_invariant_one', HasFPowerSeriesOnBall.image_sub_sub_deriv_le, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, hasDerivAtFilter_const, SchwartzMap.tsupport_derivCLM_subset, deriv_fun_const_smul_field, tendsto_integral_exp_inner_smul_cocompact, OrthonormalBasis.coe_toBasis_repr_apply, mdifferentiableWithinAt_iff_source_of_mem_source, LinearIsometryEquiv.toContinuousLinearEquiv_injective, MeasureTheory.Lp.norm_eq_zero_iff, VectorField.leibniz_identity_lieBracket, UpperHalfPlane.mdifferentiable_coe, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, IsBoundedLinearMap.tendsto, SeparationQuotient.norm_mk, PiLp.coe_symm_continuousLinearEquiv, differentiableOn_apply, instBoundedSub, Trivialization.contMDiffOn_symm, ZLattice.normBound_spec, HasSumUniformlyOn.of_norm_le_summable, HasFPowerSeriesOnBall.continuousOn, LinearIsometryEquiv.star_eq_symm, ContinuousLinearEquiv.dimH_preimage, BoundedContinuousFunction.coe_negPart, ContinuousLinearMap.reApplyInnerSelf_continuous, infEdist_neg, ContDiffBump.normed_le_div_measure_closedBall_rIn, hasStrictFDerivAt_add_const_iff, SchwartzMap.integral_smul_laplacian_right_eq_left, differentiableAt_pi, Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two, Real.Angle.eq_add_pi_of_two_zsmul_eq_of_sign_eq_neg, FormalMultilinearSeries.radius_prod_eq_min, ModelWithCorners.isClosed_range, OrthonormalBasis.coe_equiv_euclideanSpace, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, VectorFourier.norm_fourierSMulRight_le, BoundedContinuousFunction.norm_normComp, continuousWithinAt_hom_bundle, AlternatingMap.measure_parallelepiped, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, ContinuousAffineMap.hasFDerivWithinAt, IsContDiffImplicitAt.comp_implicitFunctionAux_eq_snd, ContinuousAlternatingMap.nnnorm_ofSubsingleton, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, MeasureTheory.charFunDual_map, ModelWithCorners.continuousAt_symm, hasFDerivWithinAt_add_const_iff, HasFiniteFPowerSeriesOnBall.fderiv', Orientation.two_zsmul_oangle_smul_left_self, Monotone.intervalIntegrable, Orientation.kahler_rotation_right, Complex.arg_pow_coe_angle, Submodule.orthogonalProjectionFn_eq, Fourier.fourierIntegral_def, ContinuousMultilinearMap.currySum_apply, TensorProduct.nnnorm_comm, Submodule.IsOrtho.ge, ApproximatesLinearOn.continuousOn, Affine.Simplex.signedInfDist_affineCombination, NormSMulClass.toIsBoundedSMul, TemperedDistribution.lineDerivOp_apply_apply, ImplicitFunctionData.toOpenPartialHomeomorph_coe, MeasureTheory.Lp.coeFn_sub, Submodule.bot_orthogonal_eq_top, signedDist_apply, closure_ball, UniformSpace.Completion.inner_coe, Unitization.norm_splitMul_snd_sq, curveIntegral_cast, interior_closedBall', Set.EqOn.deriv, MeasureTheory.memLp_neg_iff, ContinuousLinearMap.IsPositive.conj_starProjection, MeasureTheory.integrable_pi_iff, WithLp.edist_toLp_fst, measurable_fderiv, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, NormedAddGroupHom.completion_coe', le_egauge_ball_one, MeasureTheory.Lp.meas_ge_le_mul_pow_enorm, sub_ball_zero, Bundle.contMDiffAt_proj, UnitAddTorus.hasSum_sq_mFourierCoeff, TemperedDistribution.lineDerivOp_fourierInv_eq, HasFPowerSeriesWithinOnBall.continuousWithinAt_insert, MonotoneOn.memLp_isCompact, Submodule.map_orthogonal, fourierCoeffOn_eq_integral, ProbabilityTheory.IsGaussian.charFunDual_eq_of_integral_eq_zero, sphere_ext_iff, VonNeumannAlgebra.coe_commutant, ContDiffMapSupportedIn.bounded_iteratedFDeriv, HasFTaylorSeriesUpToOn.differentiableOn, MeasureTheory.SimpleFunc.integral_const, MeromorphicOn.negPart_divisor_add_le_add, frontier_sphere, MeromorphicAt.deriv, HasFiniteFPowerSeriesOnBall.hasFDerivAt, homeomorphUnitSphereProd_apply_snd_coe, ProbabilityTheory.isGaussian_map_equiv, differentiableWithinAt_const_sub_iff, contMDiffAt_addInvariantVectorField, hasStrictDerivAt_zero, MonotoneOn.integrableOn_of_measure_ne_top, VectorBundleCore.coordChange_linear_comp, ContinuousAlternatingMap.alternatizeUncurryFin_add, Units.contMDiff_val, contMDiff_tangentBundleModelSpaceHomeomorph, Orientation.oangle_sign_smul_add_smul_right, Module.Basis.ofZLatticeComap_repr_apply, Real.Angle.nsmul_toReal_eq_mul, signedDist_eq_dist_iff_vsub_mem_span, ProbabilityTheory.covarianceBilin_map_const_add, HasSolidNorm.orderClosedTopology, AffineSubspace.direction_perpBisector, TestFunction.hasCompactSupport, IsBoundedSMul.of_norm_smul_le, Besicovitch.multiplicity_le, curveIntegralFun_symm, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesOnBall.changeOrigin, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, DomMulAct.nnnorm_smul_Lp, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, modelWithCornersSelf_coe, deriv_const_smul', PadicInt.continuousAddCharEquiv_symm_apply, intervalIntegral.integral_comp_mul_right, ImplicitFunctionData.prod_map_implicitFunction, ContinuousLinearMap.extendTo𝕜'_apply, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, ClosedSubmodule.orthogonal_disjoint, Metric.closedBall_infDist_compl_subset_closure, ContDiff.differentiable_iteratedDeriv', iteratedFDerivWithin_const_of_ne, ContinuousMultilinearMap.norm_ofSubsingleton, ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, TensorProduct.norm_map, EuclideanGeometry.dist_smul_vadd_eq_dist, derivWithin_Ioi_eq_Ici, dist_birkhoffAverage_birkhoffAverage_le, ContinuousLinearMap.coe_le_coe_iff, MeasureTheory.integral_singleton, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_apply, intervalIntegral.integral_comp_div_sub, coe_ringEquiv_lpBCF_symm, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, SmoothPartitionOfUnity.mem_fintsupport_iff, AnalyticAt.eventually_analyticAt, Emetric.exists_smooth_forall_closedBall_subset, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, ConvexBody.hausdorffDist_coe, MeasureTheory.SimpleFunc.integrable_iff_finMeasSupp, Real.hasFDerivAt_fourierChar_neg_bilinear_right, MeasureTheory.lintegral_nnnorm_condExpIndSMul_le, LinearIsometryEquiv.differentiableAt, LipschitzWith.continuous_compLp, LinearIsometryEquiv.differentiable, isInvertible_mfderiv_extChartAt, WeakFEPair.f_modif_aux1, MeasureTheory.Lp.smul_assoc, ContDiffMapSupportedIn.continuous_iff_comp, ContinuousMultilinearMap.norm_map_insertNth_le, HasFPowerSeriesAt.coeff_zero, Submodule.orthogonal_le_orthogonal_iff, ModelWithCorners.coe_transContinuousLinearEquiv, Submodule.orthogonal_le_iff_orthogonal_le, ModularFormClass.holo, ContDiffOn.comp_continuousLinearMap, VectorFourier.norm_fourierSMulRight, mdifferentiableWithinAt_prod_module_iff, MeasureTheory.integrable_condExpIndSMul, mdifferentiableAt_iff_target, InnerProductSpace.volume_closedBall, ContinuousLinearEquiv.coord_norm', BoundedContinuousFunction.zsmul_apply, HasFPowerSeriesOnBall.hasSum_sub, ContinuousLinearMap.nnnorm_id, stereographic'_symm_apply, contMDiff_pi_space, contMDiffAt_extChartAt', dist_self_add_right, Bundle.Trivial.symmₗ_trivialization, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, NormedSpace.norm_smul_normalize, hom_chart, BoundedContinuousFunction.norm_const_le, ContinuousLinearMap.isPositive_zero, div_le_egauge_closedBall, homeomorphSphereProd_apply_fst_coe, uniqueMDiffWithinAt_iff_uniqueDiffWithinAt, uniformContinuous_vadd, preimage_add_ball, MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_left_of_lt, MeasureTheory.ConvolutionExists.distrib_add, MeasureTheory.Lp.toTemperedDistribution_apply, tendsto_add_const_cobounded, SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_two, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, strongConvexOn_iff_convex, LipschitzWith.compLp_zero, Module.Basis.ofZLatticeBasis_repr_apply, MeasureTheory.Measure.addHaar_real_closedBall_eq_addHaar_real_ball, Orientation.oangle_eq_pi_iff_sameRay_neg, MeasureTheory.charFunDual_pi, strongConvexOn_zero, contDiff_tsum_of_eventually, iteratedDerivWithin_add, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, ConvexBody.hausdorffEDist_coe, FormalMultilinearSeries.radius_eq_top_iff_summable_norm, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, VectorPrebundle.totalSpaceMk_preimage_source, MonotoneOn.memLp_top, SchwartzMap.fourier_convolution_apply, FiniteDimensional.proper_real, BoxIntegral.Integrable.tendsto_integralSum_sum_integral, cthickening_cthickening, MeasureTheory.SimpleFunc.setToSimpleFunc_const', MeasureTheory.condExpL1_zero, iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, LinearIsometry.norm_toContinuousLinearMap_le, MeasureTheory.Lp.compMeasurePreserving_continuous, Submodule.starProjection_le_starProjection_iff, TestFunction.coe_toBoundedContinuousFunction, iteratedFDerivWithin_zero_fun, SummableLocallyUniformlyOn_of_locally_bounded, TangentBundle.coe_chartAt_symm_fst, ContDiffAt.smul, ExistsContDiffBumpBase.w_integral, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, TemperedDistribution.smulLeftCLM_sum, ContinuousLinearMap.analyticOnNhd, fderiv_fst, AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, ContDiffAt.continuousAt, ProbabilityTheory.IsGaussian.memLp_two_fun_id, ContDiffOn.continuousOn_deriv_of_isOpen, MeasureTheory.Lp.coeFn_posPart, ContinuousAlternatingMap.differentiable, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, hom_trivializationAt_apply, ContinuousLinearEquiv.uniqueDiffOn_image_iff, ModelWithCorners.isClosedEmbedding, ContinuousMap.elemental_id_eq_top, LinearMap.eq_adjoint_iff_basis_right, ediam_add_le, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, Bundle.contMDiffWithinAt_section, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, Real.differentiable_fourierChar_neg_bilinear_left, Submodule.instOrthogonalCompleteSpace, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, DilationEquiv.smulTorsor_preimage_ball, ConvexBody.hausdorffEdist_coe, ModularForm.is_invariant_const, AffineBasis.centroid_mem_interior_convexHull, MeasureTheory.isTightMeasureSet_iff_tendsto_measure_norm_gt, fderiv_norm_smul_pos, FormalMultilinearSeries.le_radius_pi, continuousMultilinearCurryLeftEquiv_symm_apply, MeasureTheory.integral_def, WithLp.unitization_mul, MeasureTheory.Measure.addHaar_closedBall_mul, IsUnit.integrable_smul_iff, Bundle.mdifferentiableOn_zeroSection, hasFDerivAtFilter_const_add_iff, meromorphicOrderAt_add_eq_right_of_lt, DoubleCentralizer.instStarModule, MeasureTheory.L1.norm_sub_eq_lintegral, iteratedFDeriv_comp_add_right', VectorBundleCore.localTriv.isLinear, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, instOrderIsoClassContinuousLinearMapIdOfNonUnitalAlgEquivClassOfStarHomClassOfContinuousMapClass, singleton_add_ball_zero, ContinuousMultilinearMap.smulRightL_apply, ContinuousLinearMap.contDiff, TemperedDistribution.instContinuousFourierInv, differentiable_star_iff, ContinuousLinearMap.instBorelSpace, MeasureTheory.norm_indicatorConstLp', LinearMap.isStarProjection_iff_isSymmetricProjection, LinearIsometryEquiv.toLinearEquiv_rTensor, CStarAlgebra.star_right_conjugate_le_norm_smul, AnalyticOnNhd.map_codiscreteWithin, Finset.analyticWithinAt_sum, iteratedDerivWithin_scomp_two, AnalyticOn.differentiableOn, SchwartzMap.integrable, TestFunction.instContinuousSMulReal, cthickening_ball, MeasureTheory.integral_comp_mul_left_Ioi, IsBoundedLinearMap.hasFDerivAt, MeasureTheory.Lp.neg_smul_neg, Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, ContMDiffSection.mdifferentiable', MulOpposite.toContinuousLinearEquiv_opLinearIsometryEquiv, ContinuousLinearMap.norm_snd_le, ModularForm.SL_slash_apply, MeasureTheory.Measure.instIsLocallyFiniteMeasureMeasure, contMDiff_tangentBundleModelSpaceHomeomorph_symm, ContinuousMap.norm_smul_const, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff, MeasureTheory.isometry_lpMeasSubgroupToLpTrim, Submodule.isOrtho_self, OpenPartialHomeomorph.ball_subset_univBall_target, LinearIsometryEquiv.toLinearIsometry_lTensor, MeasureTheory.integrable_condExpL1, Real.Angle.abs_toReal_add_eq_two_pi_sub_abs_toReal_add_abs_toReal, ContinuousLinearMap.smul_compLpL, isClosed_nullAddSubgroup, tendstoUniformly_tsum, NormedSpace.cobounded_neBot, differentiableAt_of_deriv_ne_zero, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, ProbabilityTheory.instIsGaussianMapHAdd, VonNeumannAlgebra.instStarMemClass, dist_self_add_left, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, LinearIsometry.isComplete_map_iff', contMDiffOn_coordChangeL, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, IsBoundedLinearMap.hasFDerivWithinAt, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, ContinuousLinearMap.nnbound, MeasureTheory.measure_smul_setAverage, ClosedSubmodule.orthogonal_closure, ContDiffPointwiseHolderAt.iteratedFDeriv, ContinuousLinearMap.norm_compLpL_le, contMDiffOn_model_symm, ZSpan.vadd_mem_fundamentalDomain, DomMulAct.smul_Lp_const, MeasureTheory.Measure.LinearMap.quasiMeasurePreserving, nnnorm_tangentSpace_vectorSpace, mfderiv_eq_fderiv, hasGradientWithinAt_iff_tendsto, OrthonormalBasis.toMatrix_orthonormalBasis_mem_orthogonal, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, derivWithin_add_const, TemperedDistribution.fourier_apply, Memℓp.add, fderiv_comp_add_left, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, LinearIsometryEquiv.toIsometryEquiv_symm, Orientation.areaForm_rightAngleRotation_right, MeasureTheory.setIntegral_condExpL1CLM, MeasureTheory.L1.hasFiniteIntegral_coeFn, ContDiffAt.continuousAt_iteratedFDeriv, ZSpan.fract_apply, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, Orientation.oangle_sign_add_right, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, Module.Basis.map_addHaar, ContinuousLinearMap.cpolynomialOn, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id_le, FiniteDimensional.proper, tsum_of_nnnorm_bounded, fderiv_comp_sub, InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq', HasFPowerSeriesAt.continuousAt, ContinuousAlternatingMap.nnnorm_constOfIsEmpty, ContinuousLinearMap.le_opENorm, continuousMultilinearCurryFin1_symm_apply, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, differentiableWithinAt_comp_add_left, Trivialization.symmL_apply, ContinuousMultilinearMap.opNorm_le_iff, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, intervalIntegral.integral_comp_mul_add, FormalMultilinearSeries.radius_pi_le, Affine.Simplex.exists_forall_signedInfDist_eq_iff_excenterExists_and_eq_excenter, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, tsum_sq_fourierCoeff, hom_trivializationAt_baseSet, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, LinearIsometryEquiv.toHomeomorph_trans, ContinuousLinearMap.mdifferentiableOn, MeasureTheory.eLpNorm_condExpL2_le, PadicInt.mahlerEquiv_symm_apply, ContinuousLinearMap.lsmul_flip_apply, aemeasurable_derivWithin_Ici, Orientation.inner_smul_rotation_pi_div_two_smul_left, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, SchwartzMap.coe_apply, MeasureTheory.Measure.addHaar_ball, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, ContinuousLinearEquiv.coord_self, sub_smul_dslope, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, MeasureTheory.condExp_bot', ContinuousAlternatingMap.unit_le_opNorm, SchwartzMap.smulLeftCLM_ofReal, Orientation.oangle_smul_right_of_pos, norm_iteratedFDeriv_smul_le, ContDiffAt.differentiableAt_iteratedFDeriv, LinearMap.IsPositive.adjoint_eq, abs_real_inner_div_norm_mul_norm_eq_one_iff, LinearIsometryEquiv.comp_continuous_iff, ContDiffBump.tendsto_support_normed_smallSets, MeasureTheory.Integrable.smul_const, continuousAt_extChartAt_symm'', ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, iteratedDeriv_vcomp_two, ContinuousLinearEquiv.coord_norm, ContinuousAlternatingMap.opNNNorm_le_iff, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, ContMDiffSection.mdifferentiableAt, ProbabilityTheory.instIsGaussianProdProdOfSecondCountableTopologyEither, VectorBundleCore.mem_localTrivAt_baseSet, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, CurveIntegrable.trans, MeasureTheory.L1.integral_eq', Matrix.toEuclideanLin_eq_toLin_orthonormal, IsBoundedBilinearMap.differentiable, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, VectorField.lieBracketWithin_eq, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, isStarProjection_iff_eq_starProjection, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, OpenPartialHomeomorph.continuousOn_extend, ContDiffBump.tsupport_normed_eq, Orientation.inner_smul_rotation_pi_div_two_smul_right, LinearMap.IsSymmetricProjection.le_iff_range_le_range, derivWithin_congr_set, Asymptotics.IsLittleO.sum_range, hasDerivWithinAt_intCast, MeasureTheory.Lp.simpleFunc.denseRange_coeSimpleFuncNonnegToLpNonneg, CircleIntegrable.out, toIsTopologicalAddGroup, VonNeumannAlgebra.instSubringClass, AddCircle.closedBall_ae_eq_ball, UniformSpace.Completion.continuous_inner, contDiffOn_infty_iff_deriv_of_isOpen, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, Real.circleAverage_add, EuclideanGeometry.orthogonalProjection_apply, Metric.isConnected_eball, instSMulCommClass_sphere_closedBall_ball, LeftInvariantDerivation.commutator_apply, EuclideanGeometry.Sphere.direction_orthRadius, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, mdifferentiableWithinAt_iff_of_mem_source, Bundle.ContinuousLinearMap.memTrivializationAtlas, UpperHalfPlane.mdifferentiableAt_iff, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, ODE.FunSpace.compProj_mem_closedBall, antilipschitzWith_neg_iff, ContinuousAlternatingMap.bound, ContinuousLinearMap.hasDerivWithinAt, Real.Angle.two_nsmul_neg_pi_div_two, UpperHalfPlane.IsZeroAtImInfty.slash, LeftInvariantDerivation.commutator_coe_derivation, differentiableWithinAt_piLp, LinearIsometry.rTensor_apply, hasStrictFDerivAt_pow, continuousOn_taylorWithinEval, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, ContinuousLinearEquiv.differentiableWithinAt, fderiv_comp_smul, Submodule.instHasOrthogonalProjectionTop, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, LinearIsometry.toLinearMap_lTensor, ImplicitFunctionData.toPartialHomeomorph_apply, HasFiniteFPowerSeriesAt.continuousAt, lp.star_apply, FormalMultilinearSeries.norm_changeOriginSeriesTerm, PiLp.hasStrictFDerivAt_ofLp, MeromorphicAt.fun_add, TemperedDistribution.smulLeftCLM_smul, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, ContinuousLinearMap.norm_id_of_nontrivial_seminorm, isScalarTower_closedBall_closedBall_ball, curveIntegral_add, TensorProduct.nndist_tmul_le, InnerProductGeometry.angle_eq_pi_iff, HasFTaylorSeriesUpTo.zero_eq', MeasureTheory.charFun_map_eq_charFunDual_smul, SchwartzMap.isBigO_cocompact_zpow, ContinuousLinearEquiv.analyticAt, FDerivMeasurableAux.isOpen_B, BoxIntegral.hasIntegral_iff, InnerProductSpace.continuousLinearMapOfBilin_apply, HasCompactSupport.deriv, ContinuousMultilinearMap.norm_def, NormedSpace.double_dual_bound, thickening_ball, instFieldContMDiffRing, hasGradientWithinAt_iff_isLittleO, curveIntegralFun_trans_of_lt_half, OpenPartialHomeomorph.map_extend_symm_nhdsWithin_range, fourierCoeffOn.const_smul, PointwiseConvergenceCLM.withSeminorms, interior_sphere', MeasureTheory.convolution_eq_swap, singleton_add_ball, Real.Angle.tan_add_pi, Real.fourierInv_eq, isInvertible_mfderivWithin_extChartAt_symm, ModelWithCorners.coe_transContinuousLinearEquiv_symm, isConformalMap_complex_linear, Real.zero_at_infty_vector_fourierIntegral, mdifferentiable_prod_module_iff, differentiable_finCons, ContDiff.fderiv_right, ModularForm.coe_translate, hasDerivAt_const_add_iff, LocallyCompactSpace.of_locallyCompact_manifold, continuous_posPart, ProperCone.innerDual_iUnion, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', ContinuousAlternatingMap.opNorm_pi, norm_injOn_ray_left, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, ContDiffOn.deriv_of_isOpen, FormalMultilinearSeries.id_apply_one, MeasureTheory.integrableOn_Ioi_comp_mul_right_iff, ContinuousLinearEquiv.comp_contDiff_iff, ContMDiffSection.mdifferentiable, Orientation.kahler_rightAngleRotation_right, Real.Angle.sin_antiperiodic, TestFunctionClass.tsupport_map_subset, ContinuousLinearMap.norm_snd, ZSpan.repr_floor_apply, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, ExistsContDiffBumpBase.u_compact_support, ContinuousLinearMap.iteratedFDeriv_comp_right, ContDiffWithinAt.analyticOn, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, meromorphicOrderAt_add_of_top_right, MeasureTheory.Lp.simpleFunc.isDenseInducing, DiffContOnCl.differentiableOn, MeasureTheory.Measure.addHaar_closedBall_center, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, ContinuousMultilinearMap.apply_zero_uncurry0, SmoothPartitionOfUnity.toPartitionOfUnity_toFun, ContDiff.continuousLinearMap_comp, ContinuousLinearMap.norm_holderL_le, hasFDerivWithinAt_pow, lp.uniformContinuous_coe, contDiff_infty_iff_fderiv, MeasureTheory.charFun_eq_integral_innerProbChar, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, coe_neg_ball, interval_average_eq, MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, MeasureTheory.lpMeas.ae_fin_strongly_measurable', Metric.instTietzeExtensionClosedBall, PiLp.continuousLinearEquiv_apply, curveIntegral_sub, RCLike.nnnorm_nsmul, HasGradientAt.fderiv_apply, SchwartzMap.instFourierInvSMul, ContinuousAlternatingMap.instContinuousEval, differentiableWithinAt_complex_iff_differentiableWithinAt_real, ContinuousLinearMap.comp_analyticOnNhd, TemperedDistribution.derivCLM_apply_apply, OrthonormalBasis.tensorProduct_apply, Bundle.mdifferentiable_zeroSection, TorusIntegrable.function_integrable, LinearIsometryEquiv.integrable_comp_iff, range_derivWithin_subset_closure_span_image, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, edist_vsub_vsub_le, Asymptotics.IsLittleO.add_isEquivalent, ContDiffWithinAt.differentiableWithinAt', MeasureTheory.Supermartingale.smul_nonneg, LeftInvariantDerivation.ext_iff, abs_signedDist_le_dist, norm_iteratedFDeriv_zero, Orientation.norm_kahler, mfderiv_subtype_coe_Icc_one, VectorField.mlieBracketWithin_eq_lieBracketWithin, MeasureTheory.integral_count, cauchy_series_of_le_geometric, MeasureTheory.condExpIndSMul_smul', LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, closedBall_sub_closedBall, MeasureTheory.weightedSMul_smul_measure, MeasureTheory.integrable_count_iff, BoundedContinuousFunction.exists_norm_eq_restrict_eq, LinearMap.hasDerivAtFilter, IsLocalFrameOn.mdifferentiableAt_of_coeff, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, ProperCone.innerDual_toSubmodule, TangentBundle.chartAt_toPartialEquiv, ImplicitFunctionData.toOpenPartialHomeomorph_apply, HasFiniteFPowerSeriesOnBall.changeOrigin, CurveIntegrable.sub, InnerProductSpace.HarmonicAt.comp_CLM, HasFiniteFPowerSeriesOnBall.fderiv_eq, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpLpMeasSubgroupOfFactLeMeasurableSpace, Real.Angle.two_nsmul_coe_pi, LinearIsometryEquiv.continuous, smul_closedBall, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, ProbabilityTheory.instIsGaussianMapHSub_1, ContinuousLinearEquiv.comp_contDiffAt_iff, ContinuousAlternatingMap.hasFDerivAt, FormalMultilinearSeries.summable, ball_sub_ball, HasFPowerSeriesAt.locally_zero_iff, InnerProductSpace.laplacian_CLE_comp_left, hasDerivAt_iff_tendsto_slope, PiTensorProduct.mapL_add, ContinuousLinearMap.analyticAt_bilinear, eventually_norm_trivializationAt_lt, TensorProduct.congrIsometry_apply, integral_withDensity_eq_integral_smul₀, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', ProbabilityTheory.IsGaussian.charFunDual_eq', HasFPowerSeriesAt.hasStrictFDerivAt, MeasureTheory.integrable_const_add_iff, NormedSpace.toLocallyConvexSpace', AnalyticOnNhd.fun_const_smul, ModelWithCorners.uniqueDiffOn_preimage_source, isConnected_setOf_sameRay, MeasureTheory.integral_prod_smul, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, isBoundedLinearMap_continuousMultilinearMap_comp_linear, ImplicitFunctionData.map_implicitFunction_nhdsWithin_preimage, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, iteratedFDerivWithin_comp_sub', MeasureTheory.integrableOn_Ioi_comp_rpow_iff, SmoothBumpFunction.nhdsWithin_range_basis, innerSL_apply_coe, differentiableOn_finCons, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, AffineSubspace.signedInfDist_apply_of_mem, MeasureTheory.lpTrimToLpMeasSubgroup_ae_eq, AnalyticAt.map_nhdsNE, ContinuousLinearMap.bound, IsBoundedLinearMap.fderiv, HasSolidNorm.continuousSup, ContinuousLinearMap.isPositive_one, ContinuousLinearMap.isPositive_sum, Orientation.oangle_smul_right_self_of_nonneg, MeasureTheory.L1.integral_sub, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, ZSpan.fract_eq_fract, hasDerivAt_pi, MeasureTheory.Lp.coeFn_inf, MeasureTheory.ContinuousMap.inner_toLp, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, InnerProductGeometry.continuousAt_angle, SlashInvariantForm.coeHom_injective, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, Asymptotics.isLittleO_pow_sub_sub, MeasureTheory.integrable_fun_norm_addHaar, SchwartzMap.toZeroAtInfty_apply, LinearMap.toMatrix_adjoint, ProbabilityTheory.isPositive_covarianceOperator, extChartAt_target_eventuallyEq_of_mem, SemiNormedGrp.iso_isometry_of_normNoninc, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Orientation.oangle_add_left_eq_arccos_of_oangle_eq_pi_div_two, hasDerivWithinAt_finCons, EisensteinSeries.eisensteinSeries_slash_apply, Metric.isPreconnected_closedBall, contMDiffAt_pi_space, exists_smooth_zero_one_nhds_of_isClosed, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, ValueDistribution.characteristic_sum_top_eventuallyLE, ZLattice.sum_piFinset_Icc_rpow_le, ContinuousMap.enorm_eq_iSup_enorm, BoundedContinuousFunction.norm_eq_iSup_norm, contMDiffOn_iff_target, FormalMultilinearSeries.rightInv_coeff, differentiableAt_dslope_of_ne, OpenPartialHomeomorph.univBall_target, Complex.arg_mul_coe_angle, Metric.instTietzeExtensionBall, ValueDistribution.logCounting_coe, Meromorphic.smul, OpenPartialHomeomorph.unitBallBall_symm_apply, TemperedDistribution.fourierTransformInv_apply, MeasureTheory.L1.SimpleFunc.integral_L1_eq_integral, Orientation.oangle_neg_orientation_eq_neg, FormalMultilinearSeries.summable_norm_apply, Orientation.oangle_sign_smul_add_smul_left, ContinuousMultilinearMap.norm_constOfIsEmpty, summable_of_sum_range_norm_le, uniqueDiffOn_extChartAt_target, contMDiffOn_vectorSpace_iff_contDiffOn, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, MeromorphicOn.iterated_deriv, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, mfderiv_neg, VectorBundle.pullback, derivWithin_of_isOpen, AddCircle.toCircle_nsmul, Real.Angle.sin_eq_real_sin_iff_eq_or_add_eq_pi, extChartAt_target_mem_nhds, measurable_derivWithin_Ici, DomAddAct.dist_vadd_Lp, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, hasFDerivWithinAt_iff_tendsto, instSMulCommClass_sphere_sphere_closedBall, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, UpperHalfPlane.contMDiff_smul, Asymptotics.isBigO_completion_left, TensorProduct.nnnorm_lid, LinearMap.im_inner_adjoint_mul_self_eq_zero, differentiableAt_iff_comp_const_add, ProbabilityTheory.IndepFun.charFun_map_add_eq_mul, ContinuousMultilinearMap.le_opNorm_mul_pow_of_le, ValueDistribution.log_counting_zero_sub_logCounting_top, TestFunction.coeFnAddMonoidHom_apply, vadd_ball'', HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', BoundedContinuousFunction.mkOfCompact_sub, fderivWithin_comp_add_right, Real.fourierInv_eq', signedDist_apply_linear, OrthogonalFamily.linearIsometry_apply, ContinuousMultilinearMap.le_opNNNorm, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, contMDiffAt_iff_target, StrictConcaveOn.leftDeriv_lt_slope, dist_add_dist_of_mem_segment, continuous_stereoInvFun, MellinConvergent.cpow_smul, ContDiffOn.fun_smul, ContinuousLinearMap.iteratedFDeriv_comp_left, Submodule.orthogonalProjection_eq_zero_iff, ContinuousLinearMap.holderL_apply_apply, MeasureTheory.Lp.instContinuousFourier, differentiableAt_comp_sub, FormalMultilinearSeries.comp_rightInv_aux2, derivWithin_sub_const, LeftInvariantDerivation.toFun_eq_coe, MeasureTheory.AEEqFun.eLpNorm_star, DomAddAct.vadd_Lp_zero, MeasureTheory.integral_fun_snd, ContinuousMultilinearMap.opNorm_prod, MeasureTheory.condExpInd_empty, UpperHalfPlane.contMDiff_denom, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, SemilinearIsometryClass.diam_range, tsum_of_norm_bounded, ContDiffMapSupportedIn.compact_supp, MeasureTheory.integrable_fun_smul_iff, MeasureTheory.condExpL1CLM_smul, isConformalMap_const_smul, Manifold.exists_lt_of_riemannianEDist_lt, hasDerivWithinAt_iff_tendsto_slope', BoundedContinuousFunction.enorm_eq_iSup_enorm, dist_smul_add_one_sub_smul_le, InnerProductGeometry.sin_angle_add, InnerProductGeometry.angle_add_eq_arcsin_of_inner_eq_zero, norm_innerSL_le, MeromorphicAt.smul, Real.Angle.cos_antiperiodic, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Finset.analyticWithinAt_fun_sum, LipschitzWith.norm_compLp_le, Real.fourierIntegral_real_eq, ContinuousLinearMap.isLeast_opNorm, Real.circleAverage_fun_add, fderiv_const_smul_of_field, writtenInExtChartAt_sumInr_eventuallyEq_id, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, ContinuousLinearMap.IsPositive.isSelfAdjoint, MeasureTheory.measure_unitBall_eq_integral_div_gamma, MeasureTheory.L1.edist_def, HasLineDerivAt.smul, Real.exists_extension_norm_eq, OrthonormalBasis.sum_repr', continuousMultilinearCurryRightEquiv_apply, MeasureTheory.Lp.simpleFunc.toSimpleFunc_eq_toFun, Submodule.coe_orthogonalProjection_apply, Submodule.starProjection_coe_eq_isCompl_projection, MeasureTheory.continuous_setIntegral, CurveIntegrable.cast, InnerProductGeometry.sin_angle_add_mul_norm_of_inner_eq_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, SchwartzMap.differentiableAt, hasFDerivAtFilter_add_const_iff, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, LinearMap.injective_iff_antilipschitz, gauge_closedBall, OpenPartialHomeomorph.univUnitBall_symm_apply, deriv.star', AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, ContinuousAlternatingMap.prodLIE_symm_apply, analyticOrderAt_smul_eq_top_of_right, dist_sum_sum_le, Submodule.ClosedComplemented.of_quotient_finiteDimensional, range_mem_nhds_isInteriorPoint, AnalyticOnNhd.const_smul, Trivialization.isLocalFrameOn_localFrame_baseSet, ModelWithCorners.nonempty_interior', contDiffOn_infty_iff_derivWithin, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ContinuousLinearMap.apply_apply', SmoothPartitionOfUnity.nonneg', HasFPowerSeriesWithinAt.hasFDerivWithinAt, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, ball_sub_singleton, MeasureTheory.Martingale.stronglyMeasurable, iteratedDeriv_sum, instModuleFree_of_discrete_submodule, LinearMap.posSemidef_toMatrix_iff, Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, Orientation.two_zsmul_oangle_smul_smul_self, ContDiff.fderiv, Submodule.starProjection_apply_eq_zero_iff, ContMDiffSection.contMDiff_toFun, SchwartzMap.fourier_convolution, ContDiff.differentiable_one, OnePoint.isZeroAt_iff, AnalyticOnNhd.eval_continuousLinearMap', PadicInt.instIsAddTorsionFree, UnitAddTorus.span_mFourierLp_closure_eq_top, Orientation.rotation_symm_apply, TestFunction.tsupport_subset', AnalyticOnNhd.iterated_deriv, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, nndist_vadd_vadd_le, Asymptotics.isEquivalent_const_iff_tendsto, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, instSMulCommClass_closedBall_closedBall_closedBall, contDiffOn_iff_continuousOn_differentiableOn_deriv, ContinuousLinearMap.flipₗᵢ_symm, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, tendstoUniformlyOn_tsum_nat_eventually, WeakFEPair.f_modif_aux2, BoundedContinuousFunction.dist_le_two_norm, eHolderNorm_smul, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, posTangentConeAt_univ, UpperHalfPlane.mdifferentiable_denom_zpow, mellin_cpow_smul, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, WithLp.nndist_toLp_fst, ContinuousLinearMap.dist_le_opNorm, FormalMultilinearSeries.rightInv_coeff_one, ContinuousAlternatingMap.opNNNorm_prod, Orientation.volumeForm_comp_linearIsometryEquiv, ContDiffWithinAt.differentiableWithinAt, WithLp.instProdIsBoundedSMul, ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, differentiableAt_iff_comp_sub_const, InnerProductGeometry.IsConformalMap.preserves_angle, uniqueDiffWithinAt_extChartAt_target, ApproximatesLinearOn.lipschitzOnWith, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, LipschitzOnWith.ae_differentiableWithinAt, Orthonormal.tmul, norm_fderiv_norm_id_rpow, LinearMap.isAdjointPair_inner, OpenPartialHomeomorph.extend_symm_preimage_inter_range_eventuallyEq, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, Complex.dist_of_re_eq, ContinuousLinearMap.norm_holder_apply_apply_le, LinearMap.isPositive_one, MeasureTheory.Lp.edist_dist, Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two, MeasureTheory.charFun_map_const_add, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, absorbent_ball_zero, SlashInvariantFormClass.slash_action_eq, Affine.Simplex.signedInfDist_apply_of_ne, tendsto_nhds_of_meromorphicOrderAt_nonneg, BoundedContinuousFunction.range_toLp, Submodule.norm_subtypeL_le, ContinuousLinearMap.hasStrictDerivAt, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, exists_contMDiffMap_one_nhds_of_subset_interior, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, hasFDerivAtFilter_pi', constFormalMultilinearSeries_apply_succ, ImplicitFunctionData.hasStrictFDerivAt_rightFun, signedDist_left_lineMap, MeasureTheory.Submartingale.integrable_stoppedValue, FormalMultilinearSeries.continuousOn, MeasureTheory.indicatorConstLp_disjoint_union, continuousAt_extChartAt_symm', Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, ContinuousLinearMap.coe_ofIsClosedGraph, ProbabilityTheory.Kernel.integral_withDensity, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, Orientation.oangle_sign_smul_sub_right, DoubleCentralizer.toProdHom_apply, singleton_sub_closedBall, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, ModelWithCorners.isBoundaryPoint_iff, SmoothPartitionOfUnity.sum_le_one, ModelWithCorners.mdifferentiableWithinAt_symm, Submodule.isOrtho_bot_left, SlashInvariantForm.slash_action_eqn, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_right, ContinuousMap.linearIsometryBoundedOfCompact_toIsometryEquiv, ContinuousLinearMap.fpowerSeries_apply_one, MeasureTheory.L1.integral_eq, fderiv_continuousLinearEquiv_comp', ContDiffPointwiseHolderAt.zero_order_iff, ContinuousLinearMap.smulRightL_apply_apply, MeasureTheory.indicatorConstLp_coeFn, continuousOn_clm_apply, WeakFEPair.Λ_residue_zero, SchwartzMap.one_add_le_sup_seminorm_apply, infEdist_neg_neg, derivWithin_inter, constFormalMultilinearSeries_zero, sub_ball, OpenPartialHomeomorph.unitBallBall_apply, ContDiffAt.exists_lipschitzOnWith, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, Real.fourierIntegralInv_eq, Convex.thickening, MeasureTheory.integrable_const, Real.Angle.continuous_cos, MeasureTheory.weightedSMul_zero_measure, Asymptotics.IsBigO.isBigOTVS, taylor_within_apply, singleton_add_closedBall, contMDiffOn_prod_module_iff, ConcaveOn.slope_le_deriv, WithCStarModule.prod_inner, measurableSet_of_differentiableWithinAt_Ici, LinearIsometryEquiv.toContinuousLinearEquiv_smul, ContinuousAlternatingMap.compContinuousLinearMapCLM_apply, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, NormedAddCommGroup.tendsto_atTop', ContinuousMultilinearMap.norm_compContinuousLinearMap_le, MeasureTheory.Lp.fourier_toTemperedDistribution_eq, Real.Angle.tan_periodic, fderivInnerCLM_apply, eventually_norm_mfderiv_extChartAt_lt, ContinuousMultilinearMap.curryFinFinset_apply, MeasureTheory.Lp.const_val, EuclideanGeometry.orthogonalProjection_eq_iff_mem, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, CircleIntegrable.finsum, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, OrderedFinpartition.applyOrderedFinpartition_update_right, derivWithin_smul_const, MeasureTheory.Lp.simpleFunc.coeFn_nonneg, MultilinearMap.mkContinuous_norm_le', BoxIntegral.HasIntegral.add, MeasureTheory.integral_smul_measure, Real.Angle.coe_pi_add_coe_pi, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, VectorBundleCore.coordChange_comp, derivWithin_const_sub, MeasureTheory.integrable_const_iff_isFiniteMeasure, SchwartzMap.denseRange_toLpCLM, ConformalAt.const_smul, hasFDerivAt_fst, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, ContDiffMapSupportedIn.coeHom_injective, PiLp.edist_eq_of_L1, SeparationQuotient.liftNormedAddGroupHomEquiv_symm_apply_coe, SchwartzMap.toLp_fourier_eq, DomMulAct.smul_Lp_val, NormedAddGroupHom.antilipschitz_of_norm_ge, mdifferentiableWithinAt_hom_bundle, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, IsLocalFrameOn.contMDiffAt_of_coeff_aux, Trivialization.contMDiffOn, HasSumUniformlyOn.of_norm_le_summable_eventually, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, Function.locallyFinsuppWithin.logCounting_even, Module.Basis.addHaar_self, NormedSpace.discreteTopology_zmultiples, HasFTaylorSeriesUpToOn.restrictScalars, AnalyticAt.hasStrictFDerivAt, ContinuousLinearEquiv.contDiffPointwiseHolderAt_left_comp, DomAddAct.nnnorm_vadd_Lp, ContinuousLinearMap.apply_apply, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, Asymptotics.isThetaTVS_iff_isTheta, hasFDerivAt_pi', OrthogonalFamily.summable_iff_norm_sq_summable, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, instSMulCommClass_sphere_sphere_ball, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, CurveIntegrable.add, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, MeasureTheory.norm_condExpIndL1Fin_le, ContinuousMultilinearMap.norm_image_sub_le', hasFPowerSeriesAt_iff', LinearIsometryEquiv.differentiableOn, Real.fourier_eq', ContDiff.continuous_iteratedDeriv', summable_of_isBigO_nat, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, MeasureTheory.charFunDual_eq_prod_iff', MeasureTheory.Measure.toSphere.instIsOpenPosMeasure, SemiNormedGrp.completion_map, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, MeasureTheory.continuous_L1_toL1, UpperHalfPlane.mdifferentiable_iff, contMDiffOn_section_of_mem_baseSet₀, hasMellin_const_smul, WithLp.dist_toLp_fst, deriv_const_smul_field, Submodule.orthogonalProjection_norm_le, closedBall_zero_add_singleton, ContinuousAffineMap.differentiableAt, WeakFEPair.Λ_residue_k, Function.HasTemperateGrowth.isBigO_uniform, dist_vadd_vadd_le, differentiableOn_snd, ContDiff.fun_smul, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, iteratedFDerivWithin_zero_apply, Orientation.rightAngleRotation_neg_orientation, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, Fourier.fourierIntegral_comp_add_right, ImplicitFunctionData.left_map_implicitFunction, smooth_functions_tower, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, MeasureTheory.indicatorConstLp_empty, fderiv_single, hom_trivializationAt_target, CircleIntegrable.add, mdifferentiable_iff_differentiable, Submodule.orthogonalProjection_orthogonal, ConcaveOn.le_slope_of_hasDerivAt, writtenInExtChartAt_sumInl_eventuallyEq_id, differentiableWithinAt_const_add_iff, Orientation.oangle_add_cyc3_neg_right, coe_algEquiv_lpBCF, le_egauge_closedBall_one, Bundle.mdifferentiableAt_zeroSection, mdifferentiableOn_iff_of_mem_maximalAtlas, Orientation.cos_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, SemiNormedGrp.completion_obj_carrier, Manifold.exists_lt_locally_constant_of_riemannianEDist_lt, MeasureTheory.norm_condExpL2_le_one, ContinuousLinearEquiv.mdifferentiableAt, MeasureTheory.ConvolutionExists.add_distrib, ContinuousMap.instNormOneClassOfNonempty, BoundedContinuousFunction.instNormOneClass, integral_comp_pi_polarCoord_symm, BoxIntegral.Integrable.add, UniqueMDiffOn.uniqueDiffWithinAt_range_inter, mdifferentiableAt_extChartAt, MeasureTheory.condExpL2_comp_continuousLinearMap, ModularForm.is_invariant_one, InnerProductSpace.symm_toEuclideanLin_rankOne, MeasureTheory.Lp.coeFn_star, isBoundedBilinearMap_smulRight, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, isOpen_setOf_linearIndependent, LinearIsometryEquiv.differentiableWithinAt, Trivialization.mdifferentiable, convex_closedBall, ContinuousLinearMap.holder_add_left, differentiableOn_const_add_iff, MeasureTheory.Supermartingale.add, AnalyticOnNhd.eval_continuousLinearMap, cauchySeq_finset_of_geometric_bound, hasStrictFDerivAt_pi, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, ContinuousLinearMap.adjoint_innerSL_apply, ZLattice.coe_comap, NormedAddGroupHom.completion_id, sameRay_iff_norm_smul_eq, disjoint_closedBall_ball_iff, Submodule.IsOrtho.comap, hasFDerivAt_iff_isLittleO_nhds_zero, NormedAddGroupHom.continuous, fderivWithin_comp_sub, UpperHalfPlane.mdifferentiableAt_ofComplex, SemilinearIsometryClass.isometry, not_summable_of_ratio_test_tendsto_gt_one, ContDiffMapSupportedIn.structureMapLM_apply, ContinuousLinearMap.circleAverage_comp_comm, MeasureTheory.aefinStronglyMeasurable_of_aemeasurable, writtenInExtChartAt_comp, derivWithin_const_smul', isBoundedLinearMap_prod_multilinear, HasFiniteFPowerSeriesAt.eventually_const_of_bound_one, ContDiffAt.eventually, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, differentiableWithinAt_fst, EuclideanGeometry.reflection_apply, ContDiff.const_smul, continuousOn_coordChange, deriv_const_sub, derivWithin_of_mem_nhds, MeasureTheory.dist_indicatorConstLp_eq_norm, LinearIsometryEquiv.comp_fderiv', hasMFDerivWithinAt_iff_hasFDerivWithinAt, HasStrictDerivAt_ofNat, ContinuousLinearMap.IsPositive.re_inner_nonneg_right, LipschitzWith.norm_compLp_sub_le, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, LeftInvariantDerivation.coeFnAddMonoidHom_apply, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, contMDiff_snd_tangentBundle_modelSpace, MeasureTheory.condExpL2_const_inner, ball_sub_closedBall, Complex.dist_conj_self, curveIntegrable_restrictScalars_iff, WeakFEPair.differentiable_Λ₀, EisensteinSeries.D2_mul, IsCoercive.isClosed_range, TemperedDistribution.laplacianCLM_apply, isBigO_rpow_zero_log_smul, MeasureTheory.Lp.isometry_compMeasurePreserving, contMDiffWithinAt_hom_bundle, BoundedContinuousFunction.nndist_le_two_nnnorm, mdifferentiableOn_iff_of_subset_source', ProperCone.innerDual_innerDual, TensorProduct.ext_iff_inner_right_threefold, mem_contMDiffFiberwiseLinear_iff, intervalIntegral.integral_deriv_of_contDiffOn_Icc, curveIntegralFun_def, Submodule.coe_prodEquivOfClosedCompl, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, BoundedContinuousFunction.dist_le_two_norm', hasDerivAt_finCons, Orientation.areaForm_rightAngleRotation_left, coeFn_fourierLp, ContinuousLinearMap.contMDiffAt, MeasureTheory.Lp.simpleFunc.dense, CStarAlgebra.exists_sum_four_nonneg, isOpen_setOf_nat_le_rank, Real.Angle.two_nsmul_eq_iff, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, differentiableAt_iff_comp_neg, isClosed_setOf_isCompactOperator, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, MemHolder.smul_iff, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, map_extChartAt_nhds, MeasureTheory.Lp.instFourierAdd, ContinuousLinearMap.le_opNorm_enorm, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, Filter.EventuallyEq.nhdsNE_deriv, fderiv_norm_sq_apply, Submodule.starProjection_eq_self_iff, LipschitzWith.ae_differentiableAt_real, PiLp.nndist_eq_of_L2, BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq, RightDerivMeasurableAux.le_of_mem_A, OpenPartialHomeomorph.univBall_symm_apply_center, OrthonormalBasis.tensorProduct_repr_tmul_apply, contMDiffAt_iff_contDiffAt, IsContDiffImplicitAt.implicitFunctionAux_fst, Derivation.evalAt_apply, derivWithin_mem_iff, EuclideanGeometry.Sphere.finrank_orthRadius, Antitone.intervalIntegrable, ContinuousMultilinearMap.norm_curryMid, AlternatingMap.mkContinuous_norm_le', UpperHalfPlane.IsZeroAtImInfty.of_exp_decay, ContinuousLinearEquiv.comp_right_differentiable_iff, aestronglyMeasurable_withDensity_iff, ConvexOn.slope_le_leftDeriv_of_mem_interior, ContinuousAlternatingMap.ratio_le_opNorm, diffContOnCl_univ, Affine.Simplex.points_vsub_eulerPoint, TensorProduct.assocIsometry_symm_apply, Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two, InnerProductGeometry.angle_smul_left_of_pos, MeasureTheory.Lp.simpleFunc.zero_toSimpleFunc, InnerProductSpace.gramSchmidt_mem_span, ModelWithCorners.uniqueDiffOn, norm_iteratedFDeriv_fderiv, MeasureTheory.Lp.toTemperedDistribution_smul_eq, UpperHalfPlane.IsBoundedAtImInfty.slash, Real.Angle.two_nsmul_toReal_eq_two_mul, NormedSpace.dual_def, TensorProduct.inner_map_map, MeasureTheory.Lp_toLp_restrict_smul, MeasureTheory.Measure.integral_comp_div, mdifferentiableWithinAt_iff_target, intervalIntegral.integral_const, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, differentiableWithinAtProp_self_target, MeasureTheory.Measure.toSphere_apply_univ', Submodule.ClosedComplemented.of_isCompl_isClosed, CircleIntegrable.fun_sum, TensorProduct.toLinearMap_mapInclIsometry, AnalyticOnNhd.differentiableOn, MeasureTheory.condExp_bot_ae_eq, Function.HasTemperateGrowth.isBigO, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, deriv_fun_const_smul', Real.Angle.sign_antiperiodic, HasFPowerSeriesWithinOnBall.continuousWithinAt, ContinuousLinearMap.isUnit_iff_bijective, lipschitzWith_neg_iff, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', ContDiffOn.dist, MeasureTheory.Supermartingale.stronglyAdapted, norm_deriv_le_of_lip', DomAddAct.vadd_Lp_val, analyticOrderAt_add_of_ne, MeasureTheory.L1.SimpleFunc.coe_posPart, MeasureTheory.Integrable.of_finite, MeasureTheory.Measure.addHaar_closedBall_eq_addHaar_ball, ContinuousLinearMap.innerSL_apply_comp, MeasureTheory.Lp.compMeasurePreserving_val, conformalAt_iff', TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, surjective_stereographic, ContinuousLinearMap.mdifferentiableAt, ContinuousLinearMap.toSesqForm_apply_norm_le, PiLp.edist_eq_of_L2, PiTensorProduct.injectiveSeminorm_def, ContinuousLinearMap.coeFn_holder, deriv_ofNat, ContDiffMapSupportedIn.structureMapLM_eq, MeasureTheory.isTightMeasureSet_of_forall_basis_tendsto, SchwartzMap.isBigO_cocompact_rpow, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Orientation.oangle_smul_left_of_pos, HilbertBasis.hasSum_repr_symm, CStarMatrix.norm_def, ContinuousAlternatingMap.norm_image_sub_le, ProbabilityTheory.instIsGaussianMapNeg, hasStrictFDerivAt_sub_const, ContinuousLinearMap.coe_deriv₂, IsMIntegralCurveAt.eventually_hasDerivAt, MeasureTheory.Lp.instContinuousSMulDomMulAct, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, MeasureTheory.Lp.norm_compMeasurePreserving, hasFDerivAt_stereoInvFunAux_comp_coe, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, differentiableWithinAt_Ioi_iff_Ici, LinearMap.adjoint_id, contDiff_succ_iff_hasFDerivAt, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', MeasureTheory.Measure.ContinuousLinearMap.quasiMeasurePreserving, MeasureTheory.Lp.nnnorm_zero, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, hasFDerivWithinAt_comp_add_left, ModularForm.SL_smul_slash, ODE.picard_apply, to_isUniformAddGroup, MeasureTheory.condExpL2_indicator_nonneg, nhdsWithin_extChartAt_target_eq', ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, Seminorm.cont_normedSpace_to_withSeminorms, HolderWith.smul_iff, Submodule.coe_prodEquivOfClosedCompl_symm, MeasureTheory.charFun_map_add_const, VectorBundleCore.toFiberBundleCore_baseSet, TemperedDistribution.smulLeftCLM_apply_apply, ModelWithCorners.toHomeomorph_symm_apply, MeasureTheory.L1.integral_neg, extChartAt_target_mem_nhds', RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, LinearIsometryEquiv.preimage_sphere, hasFDerivAt_pi, AnalyticAt.eventually_continuousAt, Orientation.inner_mul_areaForm_sub, Asymptotics.IsTheta.tendsto_zero_iff, IsUltrametricDist.nnnorm_tsum_le, SmoothBumpCovering.toSmoothPartitionOfUnity_zero_of_zero, differentiableOn_fst, contDiff_one_iff_deriv, InnerProductSpace.HarmonicAt.add, hasFDerivWithinAt_snd, MeasureTheory.Measure.addHaar_closedBall', uniformConvexOn_zero, IsBoundedLinearMap.isLinearMap_and_continuous_iff_isBoundedLinearMap, SmoothPartitionOfUnity.contMDiff_sum, mellin_comp_mul_left, differentiableWithinAt_finCons, derivWithin_comp_neg, ContinuousMultilinearMap.norm_ofSubsingleton_id, hasFTaylorSeriesUpToOn_pi, LinearIsometryEquiv.image_closedBall, ZSpan.fundamentalDomain_ae_parallelepiped, contMDiffOn_projIcc, IsBoundedBilinearMap.differentiableWithinAt, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.memLp_top_const, TangentBundle.mem_chart_source_iff, ContinuousLinearMap.orthogonal_ker, ContDiffBump.continuous_normed, InnerProductGeometry.angle_eq_angle_add_add_angle_add, AnalyticAt.hasStrictDerivAt, Metric.exists_contMDiffMap_forall_closedEBall_subset, signedDist_vadd_vadd, ContinuousLinearMap.continuousAt_uncurry_of_multilinear, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, contMDiff_circleExp, ContDiffMapSupportedInClass.map_zero_on_compl, contDiffWithinAt_succ_iff_hasFDerivWithinAt, Filter.EventuallyEq.hasDerivWithinAt_iff, SmoothBumpFunction.image_eq_inter_preimage_of_subset_support, BoundedContinuousFunction.probCharDual_apply, hasFDerivWithinAt_apply, intervalIntegral.inv_smul_integral_comp_add_div, InnerProductSpace.norm_rankOne, ZLattice.exists_finsetSum_norm_rpow_le_tsum, Urysohns.CU.lim_eq_midpoint, Real.Angle.nsmul_eq_iff, DomMulAct.smul_Lp_add, add_mem_ball_add_iff, TangentBundle.trivializationAt_target, ContMDiffMap.coeFnLinearMap_apply, Submodule.isHilbertSumOrthogonal, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, PiTensorProduct.mapLMultilinear_toFun_apply, extChartAt_target_subset_closure_interior, ZLattice.abs_repr_le, CStarMatrix.inner_toCLM_conjTranspose_right, EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, SeparationQuotient.liftNormedAddGroupHom_norm_le, AnalyticWithinAt.smul, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, MeasureTheory.Measure.toSphere_eq_zero_iff, ContDiffBump.sub, mellin_comp_mul_right, PiLp.nndist_eq_of_L1, GaussianFourier.integral_rexp_neg_mul_sq_norm, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, ampleSet_univ, TensorProduct.edist_tmul_le, fderiv_eq_smul_deriv, MeasureTheory.Lp.continuous_posPart, unitary.inner_map_map, CStarMatrix.toCLM_apply_single_apply, SmoothBumpFunction.closedBall_subset, LinearMap.IsPositive.conj_adjoint, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, ApproximatesLinearOn.continuous, MeasureTheory.Measure.addHaar_real_closedBall, MeasureTheory.Lp.norm_def, EuclideanGeometry.angle_const_vadd, tangentBundleCore_coordChange_achart, LinearIsometryEquiv.ediam_image, ZLattice.comap_refl, ContinuousAlternatingMap.le_opNorm_mul_prod_of_le, MeasureTheory.eLpNorm_nsmul, Complex.arg_neg_coe_angle, UpperHalfPlane.mdifferentiable_smul, hasFDerivAt_prodMk_right, Complex.dist_eq_re_im, ContinuousLinearMap.coeFn_compLp', ModularForm.slash_apply, SmoothBumpFunction.isCompact_symm_image_closedBall, MeasureTheory.average_eq, PadicInt.addChar_of_value_at_one_def, curveIntegralFun_zero, deriv_comp_sub_const, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', Summable.of_norm_bounded_eventually_nat, OpenPartialHomeomorph.univBall_source, ProbabilityTheory.indepFun_iff_charFunDual_prod, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, Submodule.orthogonalProjectionFn_mem, MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOn, LinearMap.IsPositive.re_inner_nonneg_left, iteratedFDeriv_const_of_ne, hasDerivWithinAt_sub_const_iff, MeasureTheory.MemLp.toLp_const, ball_zero_subset_range_iff_surjective, intervalIntegral.smul_integral_comp_add_mul, ContDiffPointwiseHolderAt.continuousAt, Homeomorph.unitBall_symm_apply, Complex.restrictScalars_toSpanSingleton', Metric.ball_contractible, QuadraticMap.hasLineDerivAt, LinearIsometryEquiv.submoduleMap_apply_coe, MeasureTheory.Measure.integral_comp_inv_mul_right, ContinuousLinearEquiv.contDiff, ModelWithCorners.mdifferentiableWithinAt, ContinuousLinearMapWOT.ext_inner_iff, Besicovitch.SatelliteConfig.exists_normalized_aux3, MeasureTheory.memLp_const, ContinuousLinearMap.coeFn_ofIsClosedGraph, MeasureTheory.charFunDual_conv, EisensteinSeries.G2_T_transform, norm_inner_div_norm_mul_norm_eq_one_iff, ProbabilityTheory.IsGaussian.integrable_id, MeasureTheory.lpMeas.aestronglyMeasurable, ProbabilityTheory.integral_tilted_mul_eq_cgf, SmoothBumpFunction.ball_inter_range_eq_ball_inter_target, FormalMultilinearSeries.comp_assoc, InnerProductGeometry.norm_div_cos_angle_add_of_inner_eq_zero, PiTensorProduct.tprodL_coe, ModelWithCorners.extChartAt_transContinuousLinearEquiv_target, MeasureTheory.Measure.addHaar_smul, HasFPowerSeriesWithinAt.comp, Submodule.mem_iff_norm_starProjection, differentiable_neg_iff, LinearIsometryEquiv.preimage_closedBall, continuousAt_dslope_of_ne, Orientation.abs_volumeForm_apply_le, continuousMultilinearCurryFin1_apply, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, NormedAddCommGroup.summable_imp_tendsto_of_complete, IsCoercive.antilipschitz, PiLp.hasStrictFDerivAt_toLp, LeftInvariantDerivation.evalAt_apply, StrictConvexOn.slope_lt_of_hasDerivAt, UpperHalfPlane.petersson_slash, hasStrictFDerivAt_euclidean, SemiNormedGrp.completion_completeSpace, exists_mem_frontier_infDist_compl_eq_dist, unitary.linearIsometryEquiv_coe_apply, Affine.Simplex.signedInfDist_incenter, HilbertBasis.finite_spans_dense, aemeasurable_derivWithin_Ioi, MeasureTheory.L1.norm_eq_integral_norm, MeasureTheory.Measure.addHaar_image_homothety, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne, Orientation.oangle_add_oangle_rev_neg_right bridge: BoxIntegral.hasIntegralIndicatorConst
toSeminormedAddGroup 📖	CompOp	1891 math math: singleton_sub_closedBall_zero, MeasureTheory.HasFiniteIntegral.of_subsingleton, ContinuousLinearEquiv.antilipschitz, MeasureTheory.integrable_prodLp_iff, MeasureTheory.integrable_indicatorConstLp, norm_sub_sq_real, LinearIsometryEquiv.strictConvex_preimage, AffineIsometryEquiv.coe_constVSub, ball_sub, InformationTheory.integrable_klFun_rnDeriv_iff, AffineIsometryEquiv.pointReflection_apply, nnnorm_inv, LinearMap.mkContinuous₂_norm_le', MeasureTheory.eLpNorm'_norm, MeasureTheory.eLpNormEssSup_const_smul_le, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, EuclideanGeometry.dist_smul_vadd_sq, HasStrictFDerivAt.isLittleOTVS, TensorProduct.enorm_lid, Real.integrableOn_rpowIntegrand₀₁_Ioi, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm', LinearMap.mkContinuous₂_apply, Matrix.frobenius_nnnorm_mul, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, InnerProductSpace.isPositive_rankOne_self, ProbabilityTheory.IsGaussian.memLp_id, Complex.nnnorm_exp_I_mul_ofReal, List.nnnorm_prod, tendsto_const_sub_cobounded, QuotientAddGroup.exists_norm_mk_lt, Complex.restrictScalars_one_smulRight', ProbabilityTheory.IdentDistrib.memLp_iff, MeasureTheory.eLpNorm_condExp_le, MeasureTheory.LipschitzWith.integrable_comp_iff_of_antilipschitz, Matrix.frobeniusIsBoundedSMul, ContinuousLinearMap.compSL_apply, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, IsStarNormal.spectralRadius_eq_nnnorm, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, MeasureTheory.IntegrableOn.of_subsingleton, NormedAddGroupHom.Equalizer.ι_normNoninc, BoundedContinuousFunction.coe_zsmul, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, Filter.IsBoundedUnder.smul_tendsto_zero, MeasureTheory.charFun_eq_fourierIntegral', Asymptotics.IsBigO.sub, Real.hasFDerivAt_fourierChar_neg_bilinear_left, segment_subset_closedBall_right, norm_star, MeasureTheory.convolution_eq_right', MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, norm_zsmul, Orthonormal.nnnorm_eq_one, MeasureTheory.eLpNormEssSup_const_smul, Asymptotics.isBigO_const_smul_right, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, inner_vsub_right_eq_zero_symm, LinearIsometry.nnnorm_toContinuousLinearMap, InnerProductSpace.rankOne_one_left_eq_innerSL, Affine.Simplex.neg_mul_lt_inner_vsub_altitudeFoot, MeasureTheory.unifTight_iff_real, nnnorm_cfcₙ_nnreal_le_iff, PiTensorProduct.mapLMonoidHom_apply, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ContinuousLinearMap.map_add_add, enorm_mul, ProbabilityTheory.IdentDistrib.integrable_iff, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, MeasureTheory.eLpNorm'_const', Monotone.locallyIntegrable, MeasureTheory.memLp_top_of_bound, Real.nnnorm_deriv_mulExpNegMulSq_le_one, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, AffineSubspace.mem_perpBisector_iff_inner_eq_zero', LinearIsometry.map_smul, NormedAddGroupHom.incl_range, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, WithLp.nnnorm_toLp_inr, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, OrthonormalBasis.nnnorm_eq_one, InnerProductSpace.isIdempotentElem_rankOne_self, Matrix.cstar_nnnorm_def, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, egauge_prod_mk, parallelogram_law_with_nnnorm, ApproximatesLinearOn.lipschitz, MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, ContinuousLinearMap.isBigOWith_sub, EuclideanGeometry.Sphere.wbtw_secondInter, Affine.Simplex.inv_height_eq_sum_mul_inv_dist, Asymptotics.isLittleOTVS_one, MeasureTheory.Lp.edist_def, AddSubgroup.norm_normedMk_le, BoundedContinuousFunction.mkOfCompact_star, NormedAddGroupHom.coe_toAddMonoidHom, setOf_riemmanianEDist_lt_subset_nhds, WithLp.prod_nnnorm_ofLp, singleton_sub_ball, ContDiffBump.integrable, ContinuousLinearMap.comp_memLp, not_integrableOn_Ioi_cpow, MeasureTheory.AEStronglyMeasurable.memLp_truncation, NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded, BoundedContinuousFunction.char_neg, real_inner_smul_self_left, LipschitzWith.memLp_lineDeriv, NormedSpace.isBounded_iff_subset_smul_ball, HasFDerivWithinAt.clm_apply, WeakFEPair.hf_modif_int, DilationEquiv.smulTorsor_symm_apply, eventually_enorm_mfderivWithin_symm_extChartAt_lt, ContinuousAlternatingMap.opNNNorm_pi, ProbabilityTheory.integrable_preCDF, nnnorm_norm', ContinuousWithinAt.continuousLinearMapCoprod, diam_smul₀, TensorProduct.enorm_comm, NormedSpace.isVonNBounded_iff, WithLp.enorm_snd_le, MeasureTheory.IntegrableOn.of_finite, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_right, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, closedBall_sub_singleton, DoubleCentralizer.nnnorm_def', NormedSpace.image_isVonNBounded_iff, nnnorm_cfcₙ_lt_iff, ContinuousLinearMap.nnnorm_def, Int.enorm_natCast, WithLp.isBoundedSMulSeminormedAddCommGroupToProd, CFC.nnnorm_sqrt, MeasureTheory.L1.ofReal_norm_eq_lintegral, AntitoneOn.memLp_isCompact, List.nnnorm_prod_le', RCLike.wInner_sub_right, MultilinearMap.mkContinuousMultilinear_apply, ContDiffBump.integrable_normed, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg, Submodule.Quotient.instIsBoundedSMul, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_bounded_under, ContinuousLinearMap.opNorm_lsmul_apply_le, MeasureTheory.Lp.dist_def, Pi.nnnorm_single, closedBall_sub_ball, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, intervalIntegral.integrableOn_deriv_of_nonneg, fderiv_clm_comp, Asymptotics.isLittleO_comm, fderiv_continuousAlternatingMap_apply_const, HasMFDerivWithinAt.prodMk, MeasureTheory.pdf.IsUniform.mul_pdf_integrable, ProbabilityTheory.integrable_toReal_condExpKernel, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, MeasureTheory.locallyIntegrableOn_const, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.le_eLpNorm_of_bddBelow, IsGreatest.nnnorm_cfcₙ, NormedSpace.toIsBoundedSMul, MeasureTheory.Lp.memLp, QuotientAddGroup.le_norm_iff, MeasureTheory.Lp.nnnorm_def, nnnorm_sum_le, BoundedContinuousFunction.instSMulCommClass_1, egauge_ball_le_of_one_lt_norm, MeasureTheory.Martingale.integrable, QuotientAddGroup.norm_mk_eq_zero_iff_mem_closure, hasStrictFDerivAt_iff_isLittleOTVS, not_IntegrableOn_Ioi_inv, MeasureTheory.lintegral_enorm_neg, ContinuousAlternatingMap.piLIE_apply_apply, lintegral_fderiv_lineMap_eq_edist, MeasureTheory.HasFiniteIntegral.restrict_of_bounded, AbsolutelyContinuousOnInterval.const_smul, Asymptotics.IsBigO.smul, enorm_norm', FormalMultilinearSeries.changeOriginSeries_summable_aux₃, MeasureTheory.memLp_indicator_const, ContinuousLinearMap.opNNNorm_le_iff, ContinuousLinearMap.isometry_mul_flip, balanced_ball_zero, HasFDerivWithinAt.linear_multilinear_comp, LipschitzWith.memLp_comp_iff_of_antilipschitz, norm_sub_mul_self, MeasureTheory.hasFiniteIntegral_prod_iff', MeasureTheory.ConvolutionExistsAt.integrable, nndist_midpoint_right, egauge_add_add_le, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, NormedAddGroupHom.lift_mk, Asymptotics.IsBigOWith.const_smul_self, Asymptotics.isLittleOTVS_prodMk_left, NNReal.enorm_eq, inner_smul_left_eq_star_smul, WithLp.prod_nnnorm_eq_add, nndist_smul₀, Complex.nnnorm_ratCast, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, MeasureTheory.integrable_const_mul_iff, MeasureTheory.UniformIntegrable.integrable_of_tendstoInMeasure, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_quasispectrum, integrableOn_exp_Iic, ContinuousLinearMap.ebound, InnerProductSpace.inner_left_rankOne_apply, AffineIsometryEquiv.coe_constVAdd, HasFDerivAtFilter.isBigOTVS_sub, eventually_nhds_norm_smul_sub_lt, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, NormedSpace.isVonNBounded_ball, MeasureTheory.eLpNorm_mono_real, OrthogonalFamily.norm_sq_diff_sum, norm_sub_mul_le', PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, mellin_convergent_zero_of_isBigO, ProbabilityTheory.evariance_lt_top_iff_memLp, HasFDerivAt.continuousMultilinear_apply_const, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, InnerProductSpace.rankOne_apply, MeasureTheory.convolution_tendsto_right, ProbabilityTheory.IdentDistrib.eLpNorm_eq, integrableOn_Ioi_rpow_of_lt, ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zero, Matrix.nnnorm_lt_iff, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, NormedField.exists_lt_nnnorm_lt, Real.nnnorm_exp_I_mul_ofReal_sub_one_le, parallelogram_law_with_norm, ContinuousMultilinearMap.norm_smulRightL_le, NormedField.exists_nnnorm_lt_one, ContinuousLinearMap.precompL_apply, DoubleCentralizer.nnnorm_snd, egauge_univ, integrableOn_Ioi_norm_cpow_of_lt, CStarAlgebra.mem_Icc_iff_nnnorm_le_one, MeasureTheory.eLpNorm_sub_le, MeasureTheory.AEEqFun.integrable_iff_mem_L1, MeasureTheory.SimpleFunc.memLp_zero, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, PiLp.nnnorm_eq_of_L2, MeasureTheory.integrable_piLp_iff, enorm_fderiv_norm_rpow_le, convexOn_univ_dist, dist_sub_sub_le, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, NormedSpace.isBounded_iff_subset_smul_closedBall, BoundedContinuousFunction.instSMulCommClass_2, IsometryEquiv.constVSub_symm_apply, IsCompact.closedBall_zero_add, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, nndist_right_lineMap, MeasureTheory.UniformIntegrable.memLp_of_tendstoInMeasure, ContinuousLinearMap.toSesqForm_apply_coe, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_pointReflection_center_right, spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div, LocallyLipschitzOn.add, NormedAddGroupHom.smul_apply, IsBoundedBilinearMap.smul_left, MeasureTheory.Submartingale.integrable, Real.GammaIntegral_convergent, nnnorm_algebraMap_nnreal, NonUnitalStarAlgHom.nnnorm_apply_le, ContinuousLinearMap.sSup_sphere_eq_nnnorm, VectorFourier.fourierPowSMulRight_eq_comp, ContinuousAlternatingMap.le_opNNNorm, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, nndist_add_add_le, MeasureTheory.memLp_two_iff_integrable_sq_norm, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, egauge_zero_zero, LipschitzOnWith.sub, MeasureTheory.integrable_norm_rpow_iff, SchwartzMap.eLpNorm_lt_top, Complex.reCLM_nnnorm, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto_ae, norm_sub_pow_two_real, Affine.Simplex.abs_inner_vsub_altitudeFoot_div_lt_one, Unitization.nnnorm_def, MeasureTheory.UniformIntegrable.memLp_of_ae_tendsto, Matrix.linfty_opNNNorm_mulVec, MeasureTheory.integral_norm_eq_lintegral_enorm, nndist_left_lineMap, ediam_smul_le, ContinuousLinearMap.flipMultilinear_apply_apply, Orthonormal.inner_left_fintype, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, MeasureTheory.integrable_condExp, fderiv_continuousAlternatingMapCompContinuousLinearMap, BoundedContinuousFunction.coe_toContinuousMapStarₐ, EuclideanGeometry.Sphere.secondInter_collinear, ApproximatesLinearOn.norm_fderiv_sub_le, MeasureTheory.L1.setToL1_smul_left, IsGreatest.nnnorm_cfc_nnreal, SchwartzMap.memLp, MeasureTheory.eLpNorm_norm, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, ContinuousMap.instNormedStarGroup, norm_sub_sq, EuclideanGeometry.orthogonalProjection_apply_mem, WithLp.nnnorm_seminormedAddCommGroupToProd, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, integrable_one_add_norm, ProbabilityTheory.integrable_condCDF, HasFDerivAtFilter.isThetaTVS_sub, integrableOn_add_rpow_Ioi_of_lt, InformationTheory.klDiv_eq_top_iff, LinearMap.isBigOTVS_rev_comp, NormedField.exists_one_lt_enorm, AffineSubspace.mem_perpBisector_iff_inner_eq_zero, EuclideanGeometry.inversion_vsub_center, set_smul_sphere_zero, MeasureTheory.uniformIntegrable_iff, NormedAddGroupHom.Equalizer.map_normNoninc, Asymptotics.IsBigO.const_smul_left, MeasureTheory.SimpleFunc.memLp_iff_integrable, Asymptotics.IsTheta.smul, MeasureTheory.L1.integrable_coeFn, MeasureTheory.AEStronglyMeasurable.nnnorm, Real.enorm_natCast, Asymptotics.isBigOWith_comm, egauge_univ_pi, nnnorm_div, nndist_vadd_cancel_right, nnnorm_one, ContinuousLinearMap.opNNNorm_prod, dist_left_pointReflection, preimage_add_sphere, NormedAddGroupHom.isCentralScalar, smul_closedBall', signedDist_apply_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, rescale_to_shell_semi_normed_zpow, nnnorm_mul_le, integrableOn_Ioi_cpow_iff, SameRay.norm_sub, ProbabilityTheory.IsGaussian.memLp_two_id, MeasureTheory.memLp_const_iff, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, EuclideanGeometry.angle_vsub_const, ContinuousOn.integrableOn_Icc, ProbabilityTheory.IsGaussian.integrable_fun_id, Matrix.frobenius_nnnorm_one, MeasureTheory.L1.norm_def, PiLp.nnnorm_toLp_one, norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, HasMFDerivWithinAt.prodMap, MeasureTheory.integrable_thickenedIndicator, NormedField.exists_nnnorm_lt, hasFDerivAtFilter_iff_isLittleO, MeasureTheory.integrable_of_tendsto, HasFDerivAt.clm_apply, Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub, MeasureTheory.Integrable.of_isEmpty, nnnorm_mul₃_le, MeasureTheory.eLpNorm_mono_ae, MeasureTheory.eLpNorm_ofReal, NormedField.exists_lt_enorm, Filter.HasBasis.isLittleOTVS_iff, LinearIsometry.enorm_map, Complex.differentiableOn_update_limUnder_of_isLittleO, MultilinearMap.norm_image_sub_le_of_bound', LinearIsometry.map_sub, Matrix.linfty_opNNNorm_eq_opNNNorm, AffineIsometryEquiv.map_vsub, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, integrableOn_Ioi_norm_cpow_iff, InnerProductSpace.nnnorm_rankOne, ContinuousMultilinearMap.norm_image_sub_le, BoundedContinuousFunction.lintegral_nnnorm_le, stereographic_apply_neg, Filter.BoundedAtFilter.smul, NormedSpace.isVonNBounded_closedBall, MeasureTheory.memLp_haarAddCircle_iff, ContinuousLinearMap.flip_smul, antilipschitzWith_mul_right, ContinuousLinearEquiv.isBigO_sub, HasFDerivAt.isBigOTVS_sub, dist_vsub_cancel_left, UniformSpace.Completion.nnnorm_coe, MeasureTheory.integrable_prod, InnerProductSpace.isSymmetricProjection_rankOne_self, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, Complex.differentiableOn_update_limUnder_of_bddAbove, MeasureTheory.ConvolutionExistsAt.integrable_swap, tendsto_sub_const_cobounded, DoubleCentralizer.nnnorm_def, Quaternion.nnnorm_star, add_mem_ball_iff_norm, nnnorm_star, ProbabilityTheory.Kernel.integrable_densityProcess, dist_self_sub_right, LinearIsometryEquiv.smul_apply, nnnorm_cfcₙ_nnreal_lt, NormedAddGroupHom.lift_normNoninc, Asymptotics.IsBigOWith.right_le_sub_of_lt_one, nndist_inv_inv₀, CStarAlgebra.nnnorm_le_iff_of_nonneg, NNReal.natCast_natAbs, ContinuousOn.integrableOn_uIcc, MeasureTheory.Integrable.of_integral_ne_zero, nnnorm_smul, Module.Basis.prod_addHaar, List.nnnorm_prod_le, QuotientAddGroup.norm_lt_iff, EuclideanGeometry.orthogonalProjection_apply', Continuous.integrable_of_hasCompactSupport, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, NormedSpace.toNormSMulClass, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, RingHomIsometric.enorm_map, NormedField.denseRange_nnnorm, Asymptotics.IsLittleOTVS.zero, MeasureTheory.SimpleFunc.nnnorm_approxOn_le, eventually_nnnorm_sub_lt, ContinuousLinearMap.fderiv_of_bilinear, ContinuousLinearMap.nnnorm_toSpanSingleton, Matrix.linftyOpIsBoundedSMul, Asymptotics.isLittleOTVS_fun_neg_left, MeasureTheory.MemLp.of_discrete, BoundedContinuousFunction.instStarModule, Asymptotics.isBigOTVS_iff_smallSets, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, eventually_riemmanianEDist_lt, QuotientAddGroup.norm_eq_infDist, EuclideanSpace.nnnorm_single, ContinuousLinearMap.norm_smulRightL, Asymptotics.IsBigOWith.const_smul_left, convexOn_univ_norm, PiLp.sub_apply, MonotoneOn.memLp_of_measure_ne_top, BoundedContinuousFunction.nnnorm_def, hasStrictFDerivAt_iff_isLittleO, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, NormedAlgebra.exists_isMinOn_norm_sub_smul, Polynomial.toAddCircle.integrable, InnerProductSpace.trace_rankOne, HasFPowerSeriesWithinOnBall.prod, MeasureTheory.integrable_withDensity_iff_integrable_smul', MeasureTheory.eLpNorm'_congr_norm_ae, Matrix.isBoundedSMul, dist_vadd_cancel_right, infEDist_smul₀, MeasureTheory.HasFiniteIntegral.of_finite, Affine.Simplex.abs_inner_vsub_altitudeFoot_lt_mul, PiLp.nnnorm_toLp_single, ContinuousLinearMap.compL_apply, star_isometry, nnnorm_zpow_le_mul_norm, ContinuousLinearMap.lsmul_flip_inj, intervalIntegral.integrableOn_Ioo_rpow_iff, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ball_zero_add_singleton, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, Asymptotics.isBigOTVS_fun_neg_left, norm_smul_of_nonneg, Matrix.linfty_opNNNorm_toMatrix, Asymptotics.isBigOTVS_fun_neg_right, norm_sub_le_of_geometric_bound_of_hasSum, Matrix.frobenius_norm_conjTranspose, ContinuousLinearMap.flip_apply, BoundedContinuousFunction.Lp_nnnorm_le, MeasureTheory.integrable_comp_div_iff, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, Ioo_smul_sphere_zero, smul_sphere', HasCompactSupport.memLp_of_bound, real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, GaussianFourier.integrable_cexp_neg_mul_sum_add, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, MeasureTheory.integrable_add_iff_of_nonneg, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, InnerProductSpace.rankOne_eq_zero, ContinuousLinearMap.lipschitz, IsGreatest.nnnorm_cfc, egauge_le_one, Real.fourierIntegral_convergent_iff', RCLike.mul_wInner_left, PiLp.nnnorm_toLp_const', NormedStarGroup.to_continuousStar, integrable_rpow_neg_one_add_norm_sq, inner_map_polarization', selfAdjoint.nnnorm_pow_two_pow, InnerProductSpace.inner_right_rankOne_apply, Real.nnnorm_nnratCast, SemilinearMapClass.nnbound_of_continuous, Asymptotics.isBigOTVS_iff_isBigO, ContinuousOn.integrableOn_of_subset_isCompact, Asymptotics.IsLittleO.smul, BoundedContinuousFunction.integrable, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, MeasureTheory.SimpleFunc.memLp_iff_finMeasSupp, ball_add_zero, MeasureTheory.Measure.hausdorffMeasure_smul₀, MeasureTheory.lintegral_nnnorm_condExpL2_le, QuotientAddGroup.norm_mk, ContinuousLinearMap.fderivWithin_of_bilinear, HasFPowerSeriesOnBall.compContinuousLinearMap, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', AffineSubspace.signedInfDist_eq_signedDist_of_mem, Finset.nnnorm_prod_le', Real.integrable_sinc, spectrum.gelfand_formula, MeasureTheory.enorm_indicatorConstLp_le, not_IntegrableOn_Ici_inv, le_egauge_smul_left, MeasureTheory.memLp_two_iff_integrable_sq, MeasureTheory.enorm_integral_le_lintegral_enorm, Affine.Simplex.signedInfDist_apply_self, AntitoneOn.integrableOn_isCompact, ProbabilityTheory.integrable_pow_abs_mul_exp_of_mem_interior_integrableExpSet, nndist_vadd_left, LinearIsometryEquiv.nnnorm_map, EuclideanGeometry.Sphere.IsTangentAt.inner_right_eq_zero_of_mem, InnerProductSpace.rankOne_eq_rankOne_iff_comm, nnnorm_natAbs, norm_sub_eq_sqrt_iff_real_inner_eq_zero, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_left, MeasureTheory.Measure.integrableOn_of_bounded, ContinuousLinearMap.precompR_apply, PiLp.enorm_apply_le, nnnorm_multiset_sum_le, Seminorm.comp_smul, IsGreatest.nnnorm_cfcₙ_nnreal, Asymptotics.IsLittleO.isLittleOTVS, MeasureTheory.hasFiniteIntegral_iff_edist, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, DifferentiableAt.isBigOTVS_sub, Matrix.l2_opNNNorm_mulVec, MeasureTheory.integrable_comp, PiLp.nnnorm_apply_le, HasStrictFDerivAt.isLittleO, AlternatingMap.mkContinuousAlternating_norm_le, NormedAddGroupHom.mem_ker, AntitoneOn.memLp_top, MeasureTheory.eLpNorm'_neg, eventually_norm_sub_lt, BoundedContinuousFunction.memLp_top, RCLike.nnnorm_nnratCast, TensorProduct.nnnorm_tmul, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, MeasureTheory.integrableOn_Lp_of_measure_ne_top, MeasureTheory.lintegral_enorm_of_nonneg, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, ContinuousLinearMap.isBoundedBilinearMap, uniformContinuous_vsub, nnnorm_algebraMap, nnnorm_pow, CompactlySupportedContinuousMap.integrable, ball_normSeminorm, LinearMap.extendTo𝕜_apply, MeasureTheory.memLp_prod_iff, egauge_pi, fderivWithin_continuousMultilinear_apply_const, ContinuousLinearEquiv.integrable_comp_iff, Asymptotics.isBigOTVS_congr, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, inv_norm_smul_mem_unitClosedBall, Affine.Simplex.mongePlane_def, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, Asymptotics.isBigOTVS_neg_right, dist_eq_norm_vsub', Asymptotics.IsBigOWith.sub_isLittleO, nnnorm_apply_le_nnnorm_cfcₙ, Real.one_div_sub_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_condVar, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, ContinuousLinearMap.lipschitz_apply, inner_eq_sum_norm_sq_div_four, ContinuousLinearMap.lsmul_apply, nnnorm_pow_le, MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimage, NormedAddGroupHom.coe_nsmul, ContinuousLinearMap.bilinearComp_zero_right, Filter.IsIncreasingApproximateUnit.eventually_nnnorm, MeasureTheory.toReal_eLpNorm, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', MeasureTheory.tendsto_indicator_ge, Complex.ofRealCLM_nnnorm, InnerProductSpace.rank_rankOne, MeasureTheory.integrableOn_Ioi_comp_mul_left_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, VectorFourier.fourierIntegral_convergent_iff, NormedAddGroupHom.mk_toAddMonoidHom, MeasureTheory.eLpNorm_sub_comm, ContinuousLinearMap.adjointAux_apply, FormalMultilinearSeries.changeOrigin_radius, BoundedContinuousFunction.instIsScalarTower_1, MeasureTheory.SimpleFunc.memLp_iff, RCLike.nnnorm_ofNat, MeasureTheory.UniformIntegrable.spec', Asymptotics.IsLittleO.smul_isBigO, MeasureTheory.IsFundamentalDomain.integrableOn_iff, measurableSet_integrable, Asymptotics.isLittleO_const_smul_left, InnerProductSpace.rankOne_def, TensorProduct.nnnorm_map, ContinuousLinearMap.coe_flipₗᵢ', HasMFDerivAt.prodMap, ProbabilityTheory.evariance_eq_top_iff, ball_sub_zero, MeasureTheory.eLpNorm_star, WithLp.prod_nnnorm_eq_of_L2, ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, Matrix.l2_opNNNorm_conjTranspose, Chebyshev.integrableOn_theta_div_id_mul_log_sq, ContinuousMultilinearMap.prodL_apply, FormalMultilinearSeries.radius_inv_eq_limsup, EuclideanGeometry.inner_pos_or_eq_of_dist_le_radius, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, convex_eball, nndist_left_midpoint, ContinuousLinearMap.coe_flipMultilinearEquiv, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius, intervalIntegral.integrableOn_Ioo_cpow_iff, MeasureTheory.HasFiniteIntegral.of_bounded, WithLp.prod_nnnorm_eq_of_L1, MeasureTheory.setToFun_smul_left, InformationTheory.klDiv_def, eventually_singleton_add_smul_subset, add_ball_zero, RingHomIsometric.nnnorm_map, ProbabilityTheory.memLp_id_gaussianReal', MeasureTheory.memLp_congr_norm, integrableOn_Ioi_deriv_ofReal_cpow, EuclideanGeometry.Sphere.sbtw_secondInter, NormedStarGroup.norm_star_le, IsSelfAdjoint.nnnorm_mul_self, PiTensorProduct.liftEquiv_symm_apply, dist_right_pointReflection, MeasureTheory.integrable_comp_div_left, quotient_norm_add_le, inner_smul_real_right, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, Asymptotics.isLittleOTVS_fun_neg_right, normedAddGroupHomCompletionHom_apply, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, IsBoundedLinearMap.smul, EuclideanGeometry.Sphere.IsTangentAt.inner_left_eq_zero_of_mem, ContinuousMap.nnnorm_lt_iff, IsContDiffImplicitAt.implicitFunction_apply, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, Asymptotics.isLittleO_pow_sub_pow_sub, MeasureTheory.Supermartingale.integrable, RCLike.wInner_sub_left, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, vadd_ball_zero, MeasureTheory.IsAddFundamentalDomain.integrableOn_iff, Asymptotics.isLittleO_const_smul_right, MeasureTheory.ComplexMeasure.integrable_rnDeriv, MeasureTheory.eLpNorm_le_mul_eLpNorm_of_ae_le_mul, ProbabilityTheory.hasFiniteIntegral_compProd_iff', SchwartzMap.norm_toLp, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos', closedBall_zero_sub_singleton, ContinuousLinearMap.norm_precompR_le, not_integrableOn_Ioi_rpow, Pi.enorm_single, MeasureTheory.integrable_add_of_disjoint, NormedSpace.isVonNBounded_iff', MeasureTheory.hasFiniteIntegral_neg_iff, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, PiTensorProduct.liftEquiv_apply, MeasureTheory.Measure.integrable_measure_prodMk_left, MeasureTheory.hasFiniteIntegral_const, MultilinearMap.mkContinuousLinear_norm_le, LinearIsometry.toSpanSingleton_apply, MeasureTheory.lintegral_ofReal_le_lintegral_enorm, inner_eq_norm_sq_left_iff, ContinuousLinearMap.nnnorm_holder_apply_apply_le, Asymptotics.isTheta_const_smul_left, MeasureTheory.BorelCantelli.integrable_process, infEdist_smul₀, mem_nullAddSubgroup_iff, norm_zsmul_le, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, NormedField.exists_enorm_lt, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', IsContDiffImplicitAt.implicitFunctionData_pt, ContinuousLinearMap.prodMapL_apply, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, SemilinearMapClass.ebound_of_continuous, nnnorm_surjective, MeasureTheory.eLpNorm'_mono_ae, MeasureTheory.dist_convolution_le, nndist_midpoint_left, DoubleCentralizer.nnnorm_fst, MeasureTheory.L1.nnnorm_integral_le, AffineIsometryEquiv.coe_vaddConst, NormedAddGroupHom.sub_apply, InnerProductSpace.enorm_rankOne, Module.Basis.exists_opNNNorm_le, MeasureTheory.SimpleFunc.FinMeasSupp.integrable, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, ContinuousMultilinearMap.flipLinear_apply_apply, NormedAddGroupHom.Equalizer.liftEquiv_apply, MeasureTheory.hasFiniteIntegral_const_iff_isFiniteMeasure, rescale_to_shell_semi_normed, Continuous.continuousLinearMapCoprod, ContinuousLinearMap.isLeast_opNNNorm, ContinuousMap.nnnorm_smul_const, Matrix.nnnorm_replicateRow, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, MeasureTheory.integrable_prod_iff, NormedAddGroupHom.range_comp_incl_top, BoundedContinuousFunction.nnnorm_const_eq, MeasureTheory.Lp_toLp_restrict_add, IsUltrametricDist.nnnorm_add_one_le_max_nnnorm_one, Asymptotics.isLittleOTVS_iff_smallSets, MeasureTheory.eLpNormEssSup_le_of_ae_bound, EuclideanGeometry.reflection_apply_of_mem, Continuous.memLp_of_hasCompactSupport, HasCompactSupport.enorm_le_lintegral_Ici_deriv, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, Asymptotics.isLittleOTVS_iff_tendsto_div, nndist_midpoint_midpoint_le', Antitone.locallyIntegrable, Polynomial.Chebyshev.integrable_measureT, NormedSpace.isVonNBounded_of_isBounded, real_inner_add_sub_eq_zero_iff, Asymptotics.isLittleO_refl_left, ProbabilityTheory.HasSubgaussianMGF.integrable, AffineIsometry.map_vsub, Asymptotics.isBigOTVS_neg_left, nndist_center_homothety, MeasureTheory.SimpleFunc.memLp_top, nsmul_mem_closedBall, smul_unitBall_of_pos, DifferentiableWithinAt.isBigOTVS_sub, LinearIsometryEquiv.toSpanUnitSingleton_apply, Asymptotics.IsBigOWith.smul, LipschitzWith.vadd, DilationEquiv.smulTorsor_apply, ContinuousLinearEquiv.lipschitz, preimage_add_closedBall, InformationTheory.klDiv_ne_top_iff, MeasureTheory.integrable_conv_iff, NormedAddGroup.to_isIsometricVAdd_left, MeasureTheory.condExp_def, MeasureTheory.integrable_of_summable_norm_restrict, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, MeasureTheory.DominatedFinMeasAdditive.smul, NormedSpace.equicontinuous_TFAE, AlternatingMap.norm_image_sub_le_of_bound, Bornology.IsBounded.smul₀, Matrix.l2_opNNNorm_mul, nndist_vsub_vsub_le, NormedAddGroupHom.isClosed_ker, PiLp.nnnorm_eq_ciSup, MeasureTheory.SimpleFunc.integrable_iff, ContinuousLinearMap.opNorm_add_le, MeasureTheory.locallyIntegrable_const, MeasureTheory.integrable_mul_const_iff, Matrix.nnnorm_entry_le_entrywise_sup_nnnorm, nnnorm_cfc_le_iff, TensorProduct.enorm_tmul, EuclideanGeometry.Sphere.sOppSide_faceOpposite_secondInter_of_mem_interior_faceOpposite, ConvexBody.isBounded, MeasureTheory.Measure.integrable_compProd_iff, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, PiTensorProduct.dualSeminorms_bounded, vadd_closedBall'', CStarAlgebra.nnnorm_le_one_iff_of_nonneg, add_mem_closedBall_iff_norm, QuotientAddGroup.nhds_zero_hasBasis, Real.nnnorm_mul_toNNReal, ContinuousMap.nnnorm_lt_iff_of_nonempty, HasStrictFDerivAt.continuousMultilinear_apply_const, inner_vsub_vsub_right_eq_dist_sq_left_iff, Affine.Simplex.direction_mongePlane, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, MeasureTheory.integrable_toReal_of_lintegral_ne_top, MeasureTheory.eLpNorm_const_smul_le', Real.ofReal_le_enorm, MeasureTheory.integrable_smul_const, dist_sub_sub_le_of_le, NormedField.exists_one_lt_nnnorm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', SchwartzMap.fourier_evalCLM_eq, dist_vsub_cancel_right, NumberField.canonicalEmbedding.nnnorm_eq, ContinuousMultilinearMap.opNorm_add_le, MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.eLpNorm_sub_le', ContinuousLinearMap.bilinearComp_apply, ProbabilityTheory.integrable_comp_snd_map_prodMk_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, NormedAddGroupHom.comp_range, nnnorm_intCast_abs, NormedAddGroupHom.Equalizer.ι_comp_map, NormedField.exists_enorm_lt_one, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, MeasureTheory.IsAddFundamentalDomain.hasFiniteIntegral_on_iff, EuclideanGeometry.Sphere.sOppSide_faceOpposite_secondInter_of_mem_interior, ProbabilityTheory.IdentDistrib.nnnorm, Real.nnnorm_two, ContinuousMultilinearMap.isLeast_opNNNorm, Real.toNNReal_mul_nnnorm, MeasureTheory.Integrable.re_im_iff, dist_vadd_left, starₗᵢ_apply, NormedAddGroupHom.Equalizer.lift_normNoninc, nndist_lineMap_right, edist_smul₀, ContinuousAt.continuousLinearMapCoprod, HasFDerivAt.continuousAlternatingMap_apply_const, PiTensorProduct.injectiveSeminorm_apply, NormedAddGroupHom.toAddMonoidHom_injective, ProbabilityTheory.IsGaussian.memLp_dual, enorm_one, Asymptotics.isLittleOTVS_map, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, BoundedContinuousFunction.mkOfCompact_neg, Matrix.l2_opNNNorm_def, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, dist_add_add_le, Real.enorm_eq_ofReal_abs, nnnorm_cfcₙ_nnreal_lt_iff, PositiveLinearMap.gnsStarAlgHom_apply, convex_closedEBall, Asymptotics.isLittleOTVS_iff_isLittleO, integrable_rpow_mul_exp_neg_mul_sq, convex_ball, AlternatingMap.norm_image_sub_le_of_bound', real_inner_smul_right, ContinuousLinearMap.flip_add, MeasureTheory.IntegrableOn.finset, LipschitzWith.add, infDist_smul₀, InformationTheory.klDiv_eq_integral_klFun, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, ContinuousLinearEquiv.isBigO_sub_rev, LinearIsometry.map_smulₛₗ, CStarAlgebra.mem_Icc_algebraMap_iff_nnnorm_le, stereographic_neg_apply, ProbabilityTheory.evariance_def', WithLp.unitization_nnnorm_inr, dist_add_add_le_of_le, nnnorm_cfc_nnreal_lt, MeasureTheory.mem_lpMeasSubgroup_toLp_of_trim, WithLp.nnnorm_toLp_inl, NonUnitalStarAlgHom.nnnorm_map, MeasureTheory.L1.nnnorm_Integral_le_one, MeasureTheory.L1.SimpleFunc.integrable, HasFDerivAtFilter.isLittleO, ContinuousLinearMap.bilinearComp_zero, IsContDiffImplicitAt.implicitFunctionData_rightFun_apply, MeasureTheory.Measure.integrable_compProd_snd_iff, Asymptotics.IsBigO.eventually_integrableOn, Units.nnnorm_pos, segment_subset_closedBall_left, MultilinearMap.mkContinuousLinear_norm_le', MeasureTheory.eLpNorm_indicator_le_of_bound, MeasureTheory.eLpNorm_neg, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, UnitAddCircle.mem_approxAddOrderOf_iff, instIsTopologicalAddTorsor_1, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, MeasureTheory.hausdorffMeasure_homothety_image, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, IsCompact.sub_closedBall_zero, le_egauge_smul_right, spectralNorm_smul, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, ProbabilityTheory.integrable_exp_mul_gaussianReal, dist_vadd_right, MeasureTheory.integrable_add_iff_of_nonpos, spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius, edist_add_add_le, MeasureTheory.integrable_add_const_iff, MeasureTheory.Lp.simpleFunc.memLp, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, MeasureTheory.integrable_comp_mul_left_iff, ProbabilityTheory.Kernel.integrable_density, nnnorm_cfc_nnreal_le, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ContinuousLinearMap.le_opNorm₂, nnnorm_inner_le_nnnorm, quotient_norm_mk_eq, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, ProbabilityTheory.hasFiniteIntegral_comp_iff', IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, InnerProductSpace.rankOne_def', AffineSubspace.mem_perpBisector_iff_inner_eq_inner, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, Measurable.nnnorm, nnnorm_cfc_nnreal_le_iff, integrableOn_exp_mul_complex_Iic, MeasureTheory.L2.eLpNorm_inner_lt_top, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, NormedAddGroupHom.incl_apply, MeasureTheory.integrable_withDensity_iff_integrable_smul, ProbabilityTheory.integrable_pow_of_mem_interior_integrableExpSet, Matrix.frobenius_nnnorm_replicateRow, AntitoneOn.memLp_of_measure_ne_top, EuclideanGeometry.inversion_def, Affine.Simplex.inner_vsub_altitudeFoot_vsub_altitudeFoot_eq_zero, ProbabilityTheory.exp_neg_integrableOn_Ioc, MeasureTheory.Lp.mem_Lp_iff_memLp, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.eLpNorm_indicator_sub_indicator, MeasureTheory.unifTight_iff_ennreal, Real.nnnorm_abs, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, IsPrimitiveRoot.nnnorm_eq_one, NormedAddGroupHom.Equalizer.ι_comp_lift, Orthonormal.inner_left_sum, ProbabilityTheory.hasFiniteIntegral_comp_iff, Complex.conjCLE_nnorm, Matrix.frobenius_nnnorm_replicateCol, PiLp.nnnorm_toLp, inner_sub_left, egauge_ball_one_le_of_one_lt_norm, Matrix.linftyOpNormSMulClass, MeasureTheory.integrable_comp_sub_left, WithLp.normSMulClassSeminormedAddCommGroupToProd, Asymptotics.isBigOTVS_pi, MeasureTheory.HasFiniteIntegral.of_mem_Icc, PiLp.smul_apply, abs_signedDist_eq_dist_iff_vsub_mem_span, LinearIsometryEquiv.strictConvex_image, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, MultilinearMap.mkContinuousMultilinear_norm_le', DoubleCentralizer.nnnorm_fst_eq_snd, ContinuousOn.integrableAt_nhdsWithin, ProbabilityTheory.measurableSet_integrable, SchwartzMap.eLpNorm_le_seminorm, hasFDerivAtFilter_iff_isLittleOTVS, LipschitzWith.sub, Real.enorm_of_nonneg, nndist_vadd_right, MeasureTheory.eLpNorm_const_smul_le, LocallyLipschitzOn.sub, Real.integrable_of_summable_norm_Icc, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, LipschitzWith.vsub, Matrix.nnnorm_transpose, ContinuousLinearMap.extendTo𝕜_apply, not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter, integrableOn_Ioi_rpow_iff, MeasureTheory.HasFiniteIntegral.of_isEmpty, Complex.nnnorm_ofNat, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, egauge_le_of_smul_mem, MeasureTheory.memLp_pi_iff, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, integrableOn_rpow_mul_exp_neg_rpow, nndist_eq_nnnorm_vsub, WithLp.nnnorm_fst_le, ProbabilityTheory.IsRatCondKernelCDFAux.integrable, norm_sub_sq_eq_norm_sq_add_norm_sq_real, integrableOn_exp_mul_Ioi, ProbabilityTheory.IsCondKernelCDF.integrable, Complex.UnitDisc.mk_neg, ContinuousMultilinearMap.opNNNorm_prod, ContinuousLinearMap.opENorm_comp_le, Complex.nnnorm_nnratCast, Asymptotics.IsTheta.isThetaTVS, ProbabilityTheory.integrable_of_mem_integrableExpSet, QuotientAddGroup.norm_lift_apply_le, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, MeasureTheory.nnnorm_indicatorConstLp_le, MultilinearMap.norm_image_sub_le_of_bound, Filter.Tendsto.zero_smul_isBoundedUnder_le, ContinuousAlternatingMap.norm_image_sub_le', HasFPowerSeriesWithinAt.prod, Matrix.frobenius_nnnorm_diagonal, MeasureTheory.memLp_piLp_iff, singleton_add_closedBall_zero, ProbabilityTheory.integrable_compProd_iff, ContinuousOn.locallyIntegrableOn, Asymptotics.IsLittleO.right_isBigO_sub, NormedAddGroupHom.SurjectiveOnWith.surjOn, MeasureTheory.eLpNorm'_const_smul, Asymptotics.isLittleOTVS_neg_right, LipschitzOnWith.add, Continuous.integrableOn_uIoc, signedDist_vsub_self_rev, approxAddOrderOf.image_nsmul_subset, InnerProductSpace.isStarProjection_rankOne_self, ContinuousAlternatingMap.piLIE_symm_apply_apply, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, to_lipschitzAdd, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, Matrix.norm_conjTranspose, LinearMap.mkContinuous₂_norm_le, MeasureTheory.Integrable.comp_fst_iff, OrthonormalBasis.enorm_eq_one, LocallyLipschitz.sub, smul_unitBall, EuclideanGeometry.Sphere.IsTangent.eq_orthRadius_or_eq_orthRadius_pointReflection_of_parallel_orthRadius, NormedAddGroupHom.Equalizer.lift_apply_coe, StrongDual.norm_toLpₗ_le, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, AffineIsometryEquiv.coe_vaddConst_symm, ContinuousLinearMap.le_opNNNorm, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_right, MeasureTheory.eLpNorm_lt_top_of_finite, MeasureTheory.tendsto_eLpNorm_condExp, PiTensorProduct.mapLMultilinear_apply_apply, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, HasFDerivWithinAt.clm_comp, QuotientAddGroup.norm_mk_eq_zero, NonUnitalSeminormedRing.isBoundedSMul, range_nnnorm, integrable_inv_one_add_sq, signedDist_vsub_self, MeasureTheory.hausdorffMeasure_smul_right_image, LinearIsometryEquiv.map_sub, MeasureTheory.eLpNorm_mono_ae_real, InnerProductSpace.rankOne_comp_rankOne, NormedAddGroupHom.ker_completion, HasFTaylorSeriesUpToOn.prodMk, singleton_sub_ball_zero, parallelogram_law, MeasureTheory.eLpNorm_congr_norm_ae, nnnorm_apply_le_nnnorm_cfc, MeasureTheory.memLp_add_of_disjoint, BoundedContinuousFunction.nnnorm_eq_iSup_nnnorm, IsometricContinuousFunctionalCalculus.spectrum_le, nnnorm_pow_le', TrivSqZeroExt.instL1IsBoundedSMul, Asymptotics.Filter.Tendsto.isBigOTVS_one, IsSelfAdjoint.spectralRadius_eq_nnnorm, ProbabilityTheory.memLp_id_gaussianReal, BoundedContinuousFunction.nnnorm_coe_le_nnnorm, LipschitzWith.locallyIntegrable_lineDeriv, InnerProductSpace.rankOne_comp, MeasureTheory.memLp_norm_rpow_iff, Asymptotics.isLittleOTVS_fun_comm, Asymptotics.IsTheta.const_smul_left, Asymptotics.isLittleOTVS_comm, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, MeasureTheory.eLpNorm_const_smul, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, inner_smul_right, InnerProductSpace.toMatrix_rankOne, HasFDerivWithinAt.continuousMultilinear_apply_const, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, dist_pointReflection_right, InnerProductSpace.isSymmetric_rankOne_self, Complex.enorm_exp_I_mul_ofReal, Real.fourierIntegral_convergent_iff, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, BoundedContinuousFunction.nnnorm_le, closedBall_add_singleton, IsUltrametricDist.nonarchimedeanAddGroup, MeasureTheory.eLpNorm_norm_rpow, Asymptotics.IsBigOTVS.rfl, Matrix.nnnorm_conjTranspose, Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, PadicAlgCl.valuation_def, MeasureTheory.integrable_congr', inner_sum_smul_sum_smul_of_sum_eq_zero, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, IsBoundedBilinearMap.map_sub_left, AddSubgroup.surjective_normedMk, SeparationQuotient.nnnorm_mk, nnnorm_cfcₙHom, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, Complex.conjCLE_enorm, CFC.nnnorm_rpow, Continuous.memLp_top_of_hasCompactSupport, Trivialization.continuousLinearEquivAt_prod, controlled_closure_range_of_complete, WithLp.prod_nnnorm_eq_sup, BoundedContinuousFunction.nnnorm_const_le, MeasureTheory.UniformIntegrable.integrable_of_ae_tendsto, Asymptotics.isBigOTVS_fun_comm, ball_add, Asymptotics.IsBigO.sub_iff_left, Real.enorm_exp_I_mul_ofReal_sub_one_le, enorm_norm, nnnorm_norm, MeasureTheory.lpNorm_const_smul, ContinuousLinearMap.rotation_apply, nnnorm_fderiv_norm_rpow_le, HasStrictFDerivAt.approximates_deriv_on_open_nhds, TrivSqZeroExt.nnnorm_def, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, integrableOn_exp_neg_Ioi, IsCompact.sub_closedBall, ContinuousMultilinearMap.nnnorm_ofSubsingleton, inner_smul_real_left, add_mem_closedBall_add_iff, MeasureTheory.integrable_condExpL2_indicator, ContinuousAlternatingMap.isLeast_opNNNorm, Filter.Tendsto.integrableAtFilter_ae, Continuous.integrableOn_Ioc, RCLike.nnnorm_conj, MeasureTheory.MemLp.of_bound, LinearIsometry.enorm_toContinuousLinearMap, apply_le_nnnorm_cfc_nnreal, setOf_riemannianEDist_lt_subset_nhds, eventually_riemannianEDist_le_edist_extChartAt, IsBoundedBilinearMap.toContinuousLinearMap_apply, BoundedContinuousFunction.coe_zsmulRec, ProbabilityTheory.HasGaussianLaw.integrable, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, MeasureTheory.integrable_prod_iff', WithLp.nnnorm_snd_le, Continuous.integrableAt_nhds, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, NormedAddGroupHom.coe_sub, integrable_of_isBigO_exp_neg, IsBoundedLinearMap.isBigO_sub, nnnorm_algebraMap', Complex.nnnorm_natCast, Valued.integer.exists_nnnorm_lt_one, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, SemiNormedGrp₁.instAddMonoidHomClassSubtypeNormedAddGroupHomCarrierNormNoninc, fderiv_continuousMultilinearMapCompContinuousLinearMap, MeasureTheory.SimpleFunc.eLpNorm'_eq, add_ball, ContinuousLinearMap.nndist_le_opNNNorm, dist_vadd_cancel_left, inner_eq_ofReal_norm_sq_left_iff, absorbent_ball, Matrix.linfty_opNNNorm_mul, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, ContinuousLinearMap.opNorm_lsmul_le, EuclideanGeometry.Sphere.secondInter_vsub_mem_affineSpan, TensorProduct.enorm_assoc, dist_vsub_vsub_le, MeasureTheory.hasFiniteIntegral_toReal_iff, AntilipschitzWith.le_mul_norm_sub, EuclideanGeometry.inner_nonneg_of_dist_le_radius, MultilinearMap.mkContinuousMultilinear_norm_le, WithLp.instProdNormSMulClass, dist_self_sub_left, coe_starₗᵢ, AddCircle.addWellApproximable_ae_empty_or_univ, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, IsometryEquiv.vaddConst_apply, ContinuousMultilinearMap.opNNNorm_pi, closedBall_normSeminorm, IsBoundedBilinearMap.map_sub_right, MemHolder.nnHolderNorm_smul, MeasureTheory.eLpNorm_mono, inner_vsub_vsub_left_eq_dist_sq_right_iff, Matrix.star_dotProduct_gram_mulVec, OpenPartialHomeomorph.univUnitBall_apply, ContinuousLinearMap.norm_compL_le, integrableOn_Ioi_cpow_of_lt, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, AddSubgroup.ker_normedMk, ProbabilityTheory.condVar_of_sigmaFinite, NormedAddGroupHom.IsQuotient.norm, fderivWithin_clm_comp, instENormSMulClass, Matrix.normSMulClass, ball_add_singleton, MeasureTheory.SimpleFunc.memLp_of_isFiniteMeasure, intervalIntegral.integrableOn_deriv_right_of_nonneg, lipschitzWith_sub, mellin_convergent_iff_norm, antilipschitzWith_mul_left, fderiv_continuousMultilinear_apply_const, RCLike.nnnorm_two, AffineIsometry.map_vadd, ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv, IsCompact.closedBall_zero_sub, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, ContinuousAlternatingMap.nnnorm_toContinuousMultilinearMap, ContinuousMap.nnnorm_eq_iSup_nnnorm, MeasureTheory.Integrable.of_bound, ProbabilityTheory.measurableSet_kernel_integrable, NormedAddTorsor.to_isIsIsometricVAdd, MeasureTheory.UniformIntegrable.memLp, egauge_eq_zero_iff, ContinuousLinearMap.opNNNorm_comp_le, IsUltrametricDist.isUltrametricDist_iff_isNonarchimedean_nnnorm, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, real_inner_sub_sub_self, Real.nnnorm_of_nonneg, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, MeasureTheory.integrable_const_iff, HasStrictFDerivAt.isBigOTVS_sub, TrivSqZeroExt.nnnorm_inl, NormedAddGroupHom.coe_ker, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, balanced_closedBall_zero, Real.nnnorm_ofNat, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, isBoundedBilinearMap_smul, fderivWithin_continuousAlternatingMap_apply_const, Matrix.linfty_opNNNorm_replicateCol, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, coe_normSeminorm, nndist_vsub_cancel_left, MeasureTheory.hasFiniteIntegral_const_iff, ProbabilityTheory.integrable_kernel_prodMk_left, Real.toNNReal_eq_nnnorm_of_nonneg, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedAddGroupHom.toAddMonoidHomClass, TensorProduct.nnnorm_assoc, ProbabilityTheory.memLp_tilted_mul, Asymptotics.isBigO_comm, Int.nnnorm_coe_units, AbsolutelyContinuousOnInterval.sub, MeasureTheory.setLIntegral_nnnorm_condExpIndSMul_le, ContinuousLinearMap.isThetaTVS_comp, ediam_smul₀, PiLp.nnnorm_eq_of_L1, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', NonUnitalIsometricContinuousFunctionalCalculus.quasispectrum_le, NormedAddGroupHom.lift_norm_le, MeasureTheory.convolutionExistsAt_iff_integrable_swap, NormedAddGroupHom.mem_range_self, MeasureTheory.memLp_prodLp_iff, Asymptotics.isBigO_refl_left, Continuous.integrableOn_uIcc, EuclideanGeometry.angle_const_vsub, inner_sub_right, MeasureTheory.integrable_comp_mul_right_iff, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, SeparationQuotient.normedMk_apply, Filter.Tendsto.integrableAtFilter, ContinuousMultilinearMap.compContinuousLinearMapL_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, Asymptotics.IsLittleO.tendsto_inv_smul_nhds_zero, ContinuousLinearMap.norm_bilinearRestrictScalars, MeasureTheory.SimpleFunc.integrable_of_isFiniteMeasure, MonotoneOn.integrableOn_isCompact, ContinuousMultilinearMap.prodL_symm_apply, NormedAddGroupHom.ker.incl_comp_lift, Affine.Simplex.neg_one_lt_inner_vsub_altitudeFoot_div, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, MeasureTheory.integrable_swap_iff, MeasureTheory.measureReal_abs_inner_gt_le_integral_charFun, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, AffineSubspace.signedInfDist_singleton, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.AEStronglyMeasurable.integrable_truncation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, ContinuousLinearMap.bilinearComp_zero_left, ContinuousLinearMap.nnnorm_smulRight_apply, MeasureTheory.IsFundamentalDomain.hasFiniteIntegral_on_iff, SchwartzMap.fderivCLM_fourier_eq, BoundedContinuousFunction.star_apply, MeasureTheory.Integrable.comp_snd_iff, MeasureTheory.StronglyMeasurable.nnnorm, ContinuousMultilinearMap.opNNNorm_le_iff, integrableOn_Ioi_exp_neg_mul_sq_iff, MeasureTheory.pdf.integrable_pdf_smul_iff, BoundedContinuousFunction.nnnorm_coeFn_eq, edist_vadd_vadd_le, Continuous.locallyIntegrable, MeasureTheory.eLpNormEssSup_indicator_eq_eLpNormEssSup_restrict, TensorProduct.enorm_map, Real.enorm_rpow_of_nonneg, abs_dist_sub_le_dist_add_add, IsometryEquiv.constVSub_apply, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, NNReal.nnnorm_eq, BoundedContinuousFunction.coe_star, Complex.nnnorm_exp_ofReal_mul_I, DilationEquiv.smulTorsor_ratio, InnerProductSpace.toLinearMap_rankOne, SchwartzMap.memLp_top, MeasureTheory.Measure.integrable_comp_iff, MeasureTheory.IntegrableOn.of_bound, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, nnnorm_commutator_sub_one_le, HasStrictFDerivAt.clm_apply, vadd_closedBall_zero, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, WithLp.prod_nnnorm_toLp, ContinuousLinearMap.isBigO_sub, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, Asymptotics.IsBigO.sub_iff_right, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, AEMeasurable.nnnorm, MeasureTheory.UnifTight.exists_measurableSet_indicator, HasFDerivAtFilter.isLittleOTVS, MeasureTheory.Lp.eLpNorm_lt_top, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le, MeasureTheory.L2.integrable_inner, MeasureTheory.hasFiniteIntegral_prod_iff, nnnorm_cfcₙ_le_iff, IsUltrametricDist.nnnorm_intCast_le_one, MeasureTheory.integrable_smul_iff, MeasureTheory.integrableOn_iUnion_of_summable_norm_restrict, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO, SeparationQuotient.liftNormedAddGroupHom_apply, MeasureTheory.integrable_neg_iff, MeasureTheory.Integrable.of_subsingleton, Filter.HasBasis.isBigOTVS_iff, Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter, MeasureTheory.lintegral_enorm_eq_lintegral_edist, EuclideanGeometry.reflection_apply', MeasureTheory.condExp_of_sigmaFinite, NormedAddGroupHom.norm_lift_le, ContinuousLinearMap.hasFDerivAt_of_bilinear, Matrix.frobeniusNormSMulClass, Asymptotics.IsLittleO.sub_iff_right, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, smul_ball, NormedAddGroupHom.Equalizer.map_comp_map, IsContDiffImplicitAt.implicitFunctionData_rightFun_pt, nnnorm_cfc_lt_iff, ContinuousAlternatingMap.prodLIE_apply, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, spectrum.spectralRadius_le_nnnorm, FormalMultilinearSeries.summable_nnnorm_mul_pow, dist_smul₀, NormedAddGroupHom.Equalizer.comp_ι_eq, ContinuousLinearMap.opNNNorm_le_of_lipschitz, Int.abs_le_floor_nnreal_iff, ContinuousLinearMap.opNorm_flip, AlternatingMap.measure_def, MeasureTheory.Integrable.of_mem_Icc, nnnormHom_apply, FormalMultilinearSeries.radius_compContinuousLinearMap_le, MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnder, WeakFEPair.hg_int, IsContDiffImplicitAt.implicitFunctionData_leftFun_apply, MeasureTheory.eLpNorm'_const_smul_le, NormedAddGroupHom.nsmul_apply, BoundedContinuousFunction.abs_diff_coe_le_dist, Int.nnnorm_natCast, Complex.imCLM_nnnorm, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto, Finset.nnnorm_sum_le_sup_nnnorm, UniformSpace.Completion.enorm_coe, NormedAddGroupHom.ker_le_ker_completion, MeasureTheory.UniformIntegrable.spec, Asymptotics.isThetaTVS_comm, AlternatingMap.mkContinuousLinear_norm_le, QuotientAddGroup.norm_eq_addGroupSeminorm, ProbabilityTheory.HasSubgaussianMGF.memLp, fderiv_clm_apply, MeasureTheory.eLpNormEssSup_lt_top_of_ae_bound, ContinuousLinearMap.norm_compSL_le, RCLike.nnnorm_nnqsmul, nnnorm_commutator_units_sub_one_le, NormedAddGroupHom.coeAddHom_apply, WeakFEPair.hf_int, IsBoundedLinearMap.sub, ProbabilityTheory.Kernel.eLpNorm_density_le, MeasureTheory.integrable_comp_smul_iff, HasFDerivWithinAt.isBigOTVS_sub, InnerProductSpace.isIdempotentElem_rankOne_self_iff, AntitoneOn.integrableOn_of_measure_ne_top, UnitAddCircle.mem_addWellApproximable_iff, div_le_egauge_ball, IsUltrametricDist.nnnorm_natCast_le_one, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, SameRay.norm_smul_eq, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, inner_map_polarization, NormedAddCommGroup.tendsto_atTop, ContinuousLinearMap.opNNNorm_subsingleton, MeasureTheory.norm_Lp_toLp_restrict_le, nndist_vsub_cancel_right, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, Real.nnnorm_natCast, ball_zero_sub_singleton, MeasureTheory.Lp.enorm_def, Complex.nnnorm_intCast, inner_smul_left_eq_smul, IsometryEquiv.vaddConst_symm_apply, ContinuousLinearMap.reApplyInnerSelf_smul, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', setOf_riemmanianEDist_lt_subset_nhds', AffineIsometryEquiv.map_vadd, LinearIsometry.nnnorm_map, NormedAddGroupHom.Equalizer.map_id, HasFPowerSeriesAt.prod, MeasureTheory.integrable_rnDeriv_smul_iff, AlternatingMap.mkContinuousAlternating_norm_le_max, ProbabilityTheory.hasFiniteIntegral_compProd_iff, OrthonormalBasis.sum_rankOne_eq_id, MeasureTheory.SignedMeasure.integrable_rnDeriv, AffineSubspace.signedInfDist_def, NormedAddGroupHom.isQuotientQuotient, HasMFDerivAt.prodMk, QuotientAddGroup.norm_mk_le_norm, ProbabilityTheory.integrable_exp_mul_of_le, MeasureTheory.submartingale_iff_condExp_sub_nonneg, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, HasStrictFDerivAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.norm_smulRightL_le, dist_pointReflection_left, Complex.imCLM_enorm, StarAlgEquiv.nnnorm_map, LinearIsometryEquiv.symm_smul_apply, dist_eq_norm_vsub, RCLike.enorm_conj, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, inner_smul_right_eq_smul, instBoundedSub, nnnorm_cfc_nnreal_lt_iff, Real.enorm_abs, MeasureTheory.eLpNorm_eq_zero_and_zero_of_ae_le_mul_neg, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, Matrix.nnnorm_diagonal, ContinuousAlternatingMap.nnnorm_ofSubsingleton, Complex.ofRealCLM_enorm, norm_commutator_units_sub_one_le, TensorProduct.nnnorm_comm, Affine.Simplex.signedInfDist_affineCombination, NormSMulClass.toIsBoundedSMul, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, NormedAddGroupHom.ker.lift_apply_coe, MeasureTheory.memLp_neg_iff, MeasureTheory.integrable_pi_iff, ContinuousLinearMap.flipₗᵢ'_symm, le_egauge_ball_one, MeasureTheory.Lp.meas_ge_le_mul_pow_enorm, sub_ball_zero, spectrum.le_nnnorm_of_mem, MonotoneOn.memLp_isCompact, not_integrableOn_Ici_inv, Matrix.l2_opNNNorm_diagonal, Int.toNat_add_toNat_neg_eq_nnnorm, spectrum.exists_nnnorm_eq_spectralRadius, MonotoneOn.integrableOn_of_measure_ne_top, TrivSqZeroExt.nnnorm_inr, ContinuousLinearMap.isBigOTVS_fun_comp, NormedField.denselyOrdered_range_nnnorm, signedDist_eq_dist_iff_vsub_mem_span, AffineSubspace.direction_perpBisector, AbsolutelyContinuousOnInterval.fun_smul, ContinuousLinearMap.flip_zero, exp_neg_integrableOn_Ioi, PiLp.nnnorm_eq_sum, ContinuousLinearMap.extendTo𝕜'_apply, MeasureTheory.lintegral_enorm_of_ae_nonneg, EuclideanGeometry.dist_smul_vadd_eq_dist, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_apply, nnnorm_mul, integrable_exp_neg_mul_sq_iff, nndist_homothety_center, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, ConvexBody.hausdorffDist_coe, MeasureTheory.SimpleFunc.integrable_iff_finMeasSupp, MeasureTheory.lintegral_nnnorm_condExpIndSMul_le, ContinuousOn.integrableAt_nhdsWithin_of_isSeparable, MeasureTheory.eLpNorm'_const_smul_le', Polynomial.cauchyBound_X_add_C, AffineSubspace.mem_perpBisector_iff_inner_eq, CStarAlgebra.inr_mem_Icc_iff_nnnorm_le, Matrix.nnnorm_def, Asymptotics.IsTheta.const_smul_right, MonotoneOn.nnnorm_cfc, Complex.differentiableOn_update_limUnder_insert_of_isLittleO, MeasureTheory.integrable_condExpIndSMul, BoundedContinuousFunction.zsmul_apply, ContinuousLinearMap.nnnorm_id, GaussianFourier.integrable_cexp_neg_sum_mul_add, ProbabilityTheory.integrable_pow_mul_exp_of_mem_interior_integrableExpSet, dist_self_add_right, Matrix.frobenius_nnnorm_def, MeasureTheory.eLpNorm_const_lt_top_iff, div_le_egauge_closedBall, AffineIsometryEquiv.coe_vaddConst', ProbabilityTheory.integrable_toReal_condDistrib, uniformContinuous_vadd, preimage_add_ball, Probability.integrable_cauchyPDFReal, MeasureTheory.integrable_toReal_iff, norm_add_sub_norm_sub_le_two_mul_min, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zero, SchwartzMap.fourier_fderivCLM_eq, Asymptotics.isBigO_const_smul_left, ConvexBody.hausdorffEDist_coe, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, integrableOn_rpow_mul_exp_neg_mul_sq, MonotoneOn.memLp_top, Matrix.nnnorm_le_iff, Asymptotics.isBigOTVS_map, IsCompact.closedBall_add, real_inner_smul_left, Real.nnnorm_rpow_of_nonneg, ProbabilityTheory.IsGaussian.memLp_two_fun_id, NormedAddGroupHom.mem_range, ediam_add_le, ContinuousLinearEquiv.nnnorm_symm_pos, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ConvexBody.hausdorffEdist_coe, Orthonormal.enorm_eq_one, Complex.nnnorm_I, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, MeasureTheory.integral_def, Finset.nnnorm_prod_le, IsUnit.integrable_smul_iff, MeasureTheory.L1.norm_sub_eq_lintegral, singleton_add_ball_zero, ContinuousMultilinearMap.smulRightL_apply, EuclideanSpace.nnnorm_eq, RCLike.nnnorm_natCast, AddSubgroup.norm_normedMk, SchwartzMap.integrable, MeasureTheory.integrable_condExpL1, isClosed_nullAddSubgroup, IsContDiffImplicitAt.implicitFunction_def, CStarRing.nnnorm_self_mul_star, dist_self_add_left, ContinuousLinearMap.nnbound, Polynomial.cauchyBound_X_sub_C, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, nnnorm_tangentSpace_vectorSpace, QuotientAddGroup.exists_norm_add_lt, nnnorm_cfcHom, SemilinearIsometryClass.nnnorm_map, enorm_pow, MeasureTheory.L1.hasFiniteIntegral_coeFn, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id_le, MeasureTheory.hasFiniteIntegral_congr', CStarAlgebra.nnnorm_le_nnnorm_of_nonneg_of_le, ContinuousAlternatingMap.nnnorm_constOfIsEmpty, ContinuousLinearMap.le_opENorm, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, MeasureTheory.eLpNorm_condExpL2_le, ContinuousLinearMap.lsmul_flip_apply, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, MeasureTheory.eLpNorm_sub_le_of_dist_bdd, norm_sub_eq_norm_add, integrable_exp_neg_mul_sq, ContinuousAlternatingMap.opNNNorm_le_iff, ContinuousMultilinearMap.nnnorm_smulRight, LinearIsometryEquiv.map_smul, Real.enorm_eq_ofReal, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, Asymptotics.IsBigO.const_smul_self, toIsTopologicalAddGroup, nnnorm_prod, MeasureTheory.exists_eLpNorm_indicator_le, SchwartzMap.integrable_pow_mul, MeasureTheory.memLp_of_bounded, EuclideanGeometry.orthogonalProjection_apply, re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, EuclideanGeometry.Sphere.direction_orthRadius, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, EuclideanGeometry.inner_pos_of_dist_lt_radius, Bundle.Prod.contMDiffVectorBundle, Matrix.l2_opNNNorm_conjTranspose_mul_self, integrable_mulExpNegMulSq_comp, integrable_cexp_quadratic, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, MeasureTheory.hasFiniteIntegral_iff_norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, TensorProduct.nndist_tmul_le, inner_vsub_vsub_left_eq_dist_sq_left_iff, MeasureTheory.integrable_withDensity_iff, norm_sub_pow_two, singleton_add_ball, ProbabilityTheory.integrable_exp_mul_of_mem_Icc, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, MeasureTheory.integrableOn_Ioi_comp_mul_right_iff, NormedAddGroupHom.Equalizer.norm_lift_le, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, PiLp.nnnorm_seminormedAddCommGroupToPi, IsRiemannianManifold.out, nndist_vadd_cancel_left, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, EuclideanGeometry.inner_vsub_vsub_of_mem_sphere_of_mem_sphere, approxAddOrderOf.image_nsmul_subset_of_coprime, NormedField.valuation_apply, Asymptotics.IsBigOWith.sub, MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving, ContinuousOn.integrableOn_compact, Asymptotics.isBigOTVS_prodMk_left, RCLike.nnnorm_nsmul, TorusIntegrable.function_integrable, LinearIsometryEquiv.integrable_comp_iff, edist_vsub_vsub_le, closedBall_sub_closedBall, egauge_smul_right, MeasureTheory.integrable_count_iff, MeasureTheory.memLp_norm_iff, MeasureTheory.eLpNorm_aeeqFun, Matrix.linfty_opNNNorm_replicateRow, integrable_mul_cexp_neg_mul_sq, ProbabilityTheory.HasCondSubgaussianMGF.integrable_exp_mul, Complex.GammaIntegral_convergent, MeasureTheory.hausdorffMeasure_homothety_preimage, ball_sub_ball, norm_sub_mul_le, PiTensorProduct.mapL_add, MeasureTheory.integrable_const_add_iff, Complex.enorm_exp_ofReal_mul_I, inner_sub_sub_self, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, MeasureTheory.integrableOn_Ioi_comp_rpow_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, ProbabilityTheory.HasGaussianLaw.memLp, HolderWith.smul, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, NormedAddGroupHom.coe_smul, nndist_right_midpoint, PiLp.nnnorm_toLp_const, Asymptotics.isLittleO_pow_sub_sub, MeasureTheory.integrable_fun_norm_addHaar, ProbabilityTheory.IsRatCondKernelCDF.integrable, ContinuousMap.enorm_eq_iSup_enorm, IsUltrametricDist.isNonarchimedean_nnnorm, OpenPartialHomeomorph.unitBallBall_symm_apply, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, AddSubgroup.normedMk.apply, EuclideanGeometry.Sphere.secondInter_eq_lineMap, TensorProduct.nnnorm_lid, vadd_ball'', NormedAddGroupHom.ker_zero, BoundedContinuousFunction.mkOfCompact_sub, ContinuousMultilinearMap.le_opNNNorm, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, IsCompact.add_closedBall_zero, Matrix.frobenius_nnnorm_transpose, norm_sub_mul_self_real, MeasureTheory.AEEqFun.eLpNorm_star, Complex.reCLM_enorm, MeasureTheory.hasFiniteIntegral_smul_iff, MeasureTheory.integrable_mconv_iff, Asymptotics.isLittleOTVS_insert, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, Complex.nnnorm_real, MeasureTheory.integrable_fun_smul_iff, real_inner_smul_self_right, BoundedContinuousFunction.enorm_eq_iSup_enorm, dist_smul_add_one_sub_smul_le, MeasureTheory.eLpNorm'_norm_rpow, integrable_cexp_quadratic', Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, nnnorm_cfcₙ_nnreal_le, OpenPartialHomeomorph.univUnitBall_symm_apply, AffineSubspace.mem_perpBisector_pointReflection_iff_inner_eq_zero, ContinuousAlternatingMap.prodLIE_symm_apply, nsmul_mem_ball, ContinuousLinearMap.apply_apply', apply_le_nnnorm_cfcₙ_nnreal, ball_sub_singleton, PadicComplex.nnnorm_extends, LocallyLipschitz.add, Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, enorm_inv, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_pointReflection_center_left, nndist_vadd_vadd_le, Orthonormal.inner_right_fintype, Complex.nnnorm_eq_one_of_pow_eq_one, ContinuousLinearMap.flipₗᵢ_symm, nnnorm_zpow, ProbabilityTheory.integrable_gaussianPDFReal, Asymptotics.IsBigOTVS.refl, Asymptotics.isTheta_const_smul_right, fderivWithin_clm_apply, spectrum.spectralRadius_le_pow_nnnorm_pow_one_div, eHolderNorm_smul, AlternatingMap.mkContinuousLinear_norm_le_max, ContinuousAlternatingMap.opNNNorm_prod, WithLp.instProdIsBoundedSMul, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, inner_eq_norm_sq_right_iff, ContinuousLinearMap.isBigOTVS_id, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, Affine.Simplex.affineSpan_pair_eq_altitude_iff, WithLp.unitization_nnnorm_def, absorbent_ball_zero, ContinuousOn.integrableOn_compact', ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, MeasureTheory.Submartingale.integrable_stoppedValue, HasStrictFDerivAt.clm_comp, singleton_sub_closedBall, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, MonotoneOn.nnnorm_cfcₙ, ContinuousLinearMap.smulRightL_apply_apply, sub_ball, OpenPartialHomeomorph.unitBallBall_apply, Asymptotics.IsLittleO.sub, MeasureTheory.integrable_const, Asymptotics.IsBigO.isBigOTVS, singleton_add_closedBall, Asymptotics.isLittleOTVS_neg_left, ContinuousAlternatingMap.compContinuousLinearMapCLM_apply, NormedAddCommGroup.tendsto_atTop', ContinuousLinearMap.opNNNorm_mul_apply, one_le_nnnorm_one, EuclideanGeometry.orthogonalProjection_eq_iff_mem, Affine.Simplex.ninePointCircle_center, nndist_self_homothety, MeasureTheory.integrable_const_iff_isFiniteMeasure, Matrix.linfty_opNNNorm_diagonal, EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq, WithLp.enorm_fst_le, Asymptotics.isLittleOTVS_sup, MeasureTheory.memLp_trim_of_mem_lpMeasSubgroup, CFC.nnnorm_nnrpow, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, ContinuousLinearMap.norm_precompL_le, ContinuousLinearMap.apply_apply, AbsolutelyContinuousOnInterval.smul, egauge_zero_right, Asymptotics.isThetaTVS_iff_isTheta, Real.exists_measure_rpow_eq_integral, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, AlternatingMap.mkContinuousAlternating_apply, PiTensorProduct.mapLMultilinear_opNorm, ContinuousMultilinearMap.norm_image_sub_le', Asymptotics.IsLittleO.sub_iff_left, Matrix.linfty_opNNNorm_def, MeasureTheory.eLpNorm_conj, ProbabilityTheory.integrable_comp_iff, NormedAddGroupHom.zsmul_apply, AffineIsometryEquiv.dist_pointReflection_self', CStarRing.nnnorm_star_mul_self, closedBall_zero_add_singleton, MeasureTheory.StronglyMeasurable.norm_approxBounded_le, integrable_cexp_neg_mul_sq, dist_vadd_vadd_le, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, CStarAlgebra.nnnorm_le_natCast_iff_of_nonneg, le_egauge_closedBall_one, ProbabilityTheory.HasGaussianLaw.memLp_two, NormedField.exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, NormedAddGroupHom.Equalizer.liftEquiv_symm_apply_coe, InnerProductSpace.symm_toEuclideanLin_rankOne, MeasureTheory.charFun_map_smul, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, convex_closedBall, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousOn.continuousLinearMapCoprod, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, VectorBundle.prod, MeasureTheory.memLp_re_im_iff, HasFDerivAt.clm_comp, Matrix.frobenius_nnnorm_conjTranspose, IsBoundedBilinearMap.smul_right, Asymptotics.isLittleOTVS_pi, integrableOn_Ioi_deriv_norm_ofReal_cpow, nnnorm_zsmul_le, isBoundedLinearMap_prod_multilinear, integrable_of_le_of_pow_mul_le, nndist_homothety_self, Orthonormal.inner_sum, EuclideanGeometry.reflection_apply, Matrix.instNormedStarGroup, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_left, Continuous.integrableOn_Icc, IsCompact.add_closedBall, ball_sub_closedBall, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, EuclideanGeometry.Sphere.secondInter_eq_self_iff, BoundedContinuousFunction.nndist_le_two_nnnorm, ProbabilityTheory.mgf_pos_iff, ContinuousLinearMap.norm_smulRightL_apply, CStarAlgebra.le_nnnorm_of_mem_quasispectrum, Asymptotics.IsThetaTVS.rfl, inner_eq_ofReal_norm_sq_right_iff, setOf_riemannianEDist_lt_subset_nhds', DoubleCentralizer.coe_snd, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, ContinuousLinearMap.le_opNorm_enorm, MeasureTheory.eLpNorm_le_of_ae_bound, nndist_eq_nnnorm_vsub', Affine.Simplex.points_vsub_eulerPoint, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, Matrix.linfty_opNorm_def, egauge_le_of_smul_mem_of_ne, NumberField.house_eq_sup', MeasureTheory.Lp_toLp_restrict_smul, AntilipschitzWith.add_lipschitzWith, inner_vsub_vsub_right_eq_dist_sq_right_iff, EuclideanGeometry.Sphere.eq_or_eq_secondInter_iff_mem_of_mem_affineSpan_pair, PiLp.nnnorm_ofLp, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Real.integrableOn_rpowIntegrand₀₁_Ici, MeasureTheory.Integrable.of_finite, egauge_pi', Asymptotics.IsBigO.smul_isLittleO, HasFDerivWithinAt.continuousAlternatingMap_apply_const, Real.enorm_ofReal_of_nonneg, inner_vsub_left_eq_zero_symm, ContinuousLinearMap.toSesqForm_apply_norm_le, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', ContinuousAlternatingMap.norm_image_sub_le, eventually_riemannianEDist_lt, ContinuousLinearMap.coe_deriv₂, inner_smul_left, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', Matrix.norm_eq_sup_sup_nnnorm, to_isUniformAddGroup, Polynomial.IsRoot.norm_lt_cauchyBound, NormedAddGroupHom.norm_incl, HolderWith.smul_iff, NormedAddTorsor.dist_eq_norm', MeasureTheory.integrable_rnDeriv_mul_log_iff, IsContDiffImplicitAt.implicitFunctionData_leftFun_pt, MeasureTheory.hasFiniteIntegral_count_iff, integrableAtFilter_rpow_atTop_iff, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, nndist_lineMap_left, IsUltrametricDist.nnnorm_tsum_le, Circle.norm_smul, MeasureTheory.eLpNormEssSup_const_smul_le', Matrix.nnnorm_replicateCol, MeasureTheory.memLp_top_const, MeasureTheory.pdf.hasFiniteIntegral_mul, IsSelfAdjoint.nnnorm_pow_two_pow, Asymptotics.IsThetaTVS.refl, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, Asymptotics.IsLittleO.const_smul_left, Quaternion.nnnorm_coe, InnerProductSpace.norm_rankOne, add_mem_ball_add_iff, MeasureTheory.Measure.integrable_pow_neg_integrablePower, PiTensorProduct.mapLMultilinear_toFun_apply, LinearIsometryEquiv.map_smulₛₗ, real_inner_I_smul_self, Orthonormal.inner_right_sum, FormalMultilinearSeries.comp_summable_nnreal, Unitization.nnnorm_inr, TensorProduct.edist_tmul_le, integrableOn_rpow_mul_exp_neg_mul_rpow, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, MeasureTheory.Measure.integrable_toReal_rnDeriv, ContinuousLinearMap.flipAlternating_apply_apply, MeasureTheory.Lp.norm_def, MeasureTheory.eLpNorm_nsmul, integrableOn_exp_mul_complex_Ioi, measurable_nnnorm, not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter_aux, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, NormedAddGroupHom.coe_zsmul, ProbabilityTheory.integrable_stieltjesOfMeasurableRat, Complex.restrictScalars_toSpanSingleton', MeasureTheory.memLp_const, BoundedContinuousFunction.integrable_of_nnreal, IsCompact.closedBall_sub, ProbabilityTheory.IsGaussian.integrable_id, egauge_smul_left, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, AbsolutelyContinuousOnInterval.fun_sub, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet, Affine.Simplex.inner_vsub_vsub_altitudeFoot_eq_height_sq

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist toPseudoMetricSpace Norm.norm toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid AddCommGroup.toAddGroup toAddCommGroup	—	—

SeminormedAddGroup

Definitions

Name	Category	Theorems
ofAddDist 📖	CompOp	—
ofAddDist' 📖	CompOp	—
toAddGroup 📖	CompOp	987 math math: singleton_sub_closedBall_zero, MeasureTheory.tendstoInMeasure_iff_measureReal_norm, norm_eq_of_mem_sphere, norm_sub_sq_real, LinearIsometryEquiv.strictConvex_preimage, AffineIsometryEquiv.coe_constVSub, ball_sub, edist_eq_enorm_sub, AffineIsometryEquiv.pointReflection_apply, norm_smul_le, LinearMap.mkContinuous₂_norm_le', EuclideanGeometry.dist_smul_vadd_sq, LinearMap.mkContinuous₂_apply, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, InnerProductSpace.isPositive_rankOne_self, tendsto_const_sub_cobounded, QuotientAddGroup.exists_norm_mk_lt, Complex.restrictScalars_one_smulRight', Matrix.frobeniusIsBoundedSMul, ContinuousLinearMap.compSL_apply, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, LipschitzOnWith.norm_sub_le, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, NormedAddGroupHom.Equalizer.ι_normNoninc, BoundedContinuousFunction.coe_zsmul, Filter.IsBoundedUnder.smul_tendsto_zero, MeasureTheory.charFun_eq_fourierIntegral', Asymptotics.IsBigO.sub, Real.hasFDerivAt_fourierChar_neg_bilinear_left, segment_subset_closedBall_right, norm_star, MeasureTheory.convolution_eq_right', norm_zsmul, Asymptotics.isBigO_const_smul_right, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, inner_vsub_right_eq_zero_symm, Real.fderiv_fourierIntegral, InnerProductSpace.rankOne_one_left_eq_innerSL, Affine.Simplex.neg_mul_lt_inner_vsub_altitudeFoot, nnnorm_le_insert', PiTensorProduct.mapLMonoidHom_apply, ContinuousLinearMap.map_add_add, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, AffineSubspace.mem_perpBisector_iff_inner_eq_zero', enorm_sub_le, LinearIsometry.map_smul, NormedAddGroupHom.incl_range, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, InnerProductSpace.isIdempotentElem_rankOne_self, parallelogram_law_with_nnnorm, dist_smul_le, ContinuousLinearMap.isBigOWith_sub, EuclideanGeometry.Sphere.wbtw_secondInter, Affine.Simplex.inv_height_eq_sum_mul_inv_dist, AddSubgroup.norm_normedMk_le, BoundedContinuousFunction.mkOfCompact_star, NormedAddGroupHom.coe_toAddMonoidHom, singleton_sub_ball, NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded, BoundedContinuousFunction.char_neg, Real.fourier_continuousLinearMap_apply, real_inner_smul_self_left, NormedSpace.isBounded_iff_subset_smul_ball, HasFDerivWithinAt.clm_apply, DilationEquiv.smulTorsor_symm_apply, ContinuousWithinAt.continuousLinearMapCoprod, diam_smul₀, NormedSpace.isVonNBounded_iff, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_right, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, closedBall_sub_singleton, NormedSpace.image_isVonNBounded_iff, WithLp.isBoundedSMulSeminormedAddCommGroupToProd, RCLike.wInner_sub_right, nnnorm_nsmul_le, MultilinearMap.mkContinuousMultilinear_apply, Submodule.Quotient.instIsBoundedSMul, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_bounded_under, ContinuousLinearMap.opNorm_lsmul_apply_le, closedBall_sub_ball, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, fderiv_clm_comp, Asymptotics.isLittleO_comm, dist_eq_norm, fderiv_continuousAlternatingMap_apply_const, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, edist_zero_left, NormedSpace.toIsBoundedSMul, QuotientAddGroup.le_norm_iff, nnnorm_sub_eq_nnnorm_right, BoundedContinuousFunction.instSMulCommClass_1, egauge_ball_le_of_one_lt_norm, QuotientAddGroup.norm_mk_eq_zero_iff_mem_closure, ContinuousAlternatingMap.piLIE_apply_apply, lintegral_fderiv_lineMap_eq_edist, AbsolutelyContinuousOnInterval.const_smul, edist_zero_eq_enorm, Asymptotics.IsBigO.smul, ContinuousLinearMap.isometry_mul_flip, balanced_ball_zero, HasFDerivWithinAt.linear_multilinear_comp, norm_sub_mul_self, nnnorm_le_add_nnnorm_add, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, NormedAddGroupHom.lift_mk, Asymptotics.IsBigOWith.const_smul_self, inner_smul_left_eq_star_smul, nndist_smul₀, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, InnerProductSpace.inner_left_rankOne_apply, dist_eq_norm_sub, nnnorm_le_nnnorm_add_nnnorm_sub, AffineIsometryEquiv.coe_constVAdd, eventually_nhds_norm_smul_sub_lt, NormedSpace.isVonNBounded_ball, OrthogonalFamily.norm_sq_diff_sum, norm_sub_mul_le', PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, HasFDerivAt.continuousMultilinear_apply_const, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, InnerProductSpace.rankOne_apply, MeasureTheory.convolution_tendsto_right, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, parallelogram_law_with_norm, ContinuousMultilinearMap.norm_smulRightL_le, norm_le_norm_add_norm_sub', ContinuousLinearMap.precompL_apply, ball_zero_eq, nnnorm_le_insert, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, convexOn_univ_dist, norm_le_add_norm_add, dist_sub_sub_le, NormedSpace.isBounded_iff_subset_smul_closedBall, BoundedContinuousFunction.instSMulCommClass_2, IsometryEquiv.constVSub_symm_apply, IsCompact.closedBall_zero_add, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousLinearMap.toSesqForm_apply_coe, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_pointReflection_center_right, LocallyLipschitzOn.add, NormedAddGroupHom.smul_apply, IsBoundedBilinearMap.smul_left, Real.fourierIntegral_continuousMultilinearMap_apply, norm_add₃_le, VectorFourier.fourierPowSMulRight_eq_comp, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, nndist_add_add_le, comap_norm_nhds_zero, LipschitzOnWith.sub, norm_sub_pow_two_real, Affine.Simplex.abs_inner_vsub_altitudeFoot_div_lt_one, ContinuousLinearMap.flipMultilinear_apply_apply, Orthonormal.inner_left_fintype, fderiv_continuousAlternatingMapCompContinuousLinearMap, norm_le_norm_add_norm_sub, BoundedContinuousFunction.coe_toContinuousMapStarₐ, EuclideanGeometry.Sphere.secondInter_collinear, Real.fderiv_fourier, MeasureTheory.L1.setToL1_smul_left, ContinuousMap.instNormedStarGroup, norm_sub_sq, EuclideanGeometry.orthogonalProjection_apply_mem, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, VectorFourier.fourierIntegral_continuousLinearMap_apply, AffineSubspace.mem_perpBisector_iff_inner_eq_zero, EuclideanGeometry.inversion_vsub_center, set_smul_sphere_zero, NormedAddGroupHom.Equalizer.map_normNoninc, Asymptotics.IsBigO.const_smul_left, Asymptotics.IsTheta.smul, Asymptotics.isBigOWith_comm, Real.fourier_iteratedFDeriv, nndist_vadd_cancel_right, norm_indicator_eq_indicator_norm, dist_left_pointReflection, preimage_add_sphere, NormedAddGroupHom.isCentralScalar, smul_closedBall', signedDist_apply_apply, mem_closedBall_iff_norm', re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, rescale_to_shell_semi_normed_zpow, SameRay.norm_sub, norm_indicator_le_of_subset, norm_sub_le, EuclideanGeometry.angle_vsub_const, norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero, tendsto_norm_sub_self, hasFDerivAtFilter_iff_isLittleO, HasFDerivAt.clm_apply, Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub, enorm_neg, MeasureTheory.tendstoInMeasure_iff_norm, VectorFourier.hasFDerivAt_fourierIntegral, Complex.differentiableOn_update_limUnder_of_isLittleO, MultilinearMap.norm_image_sub_le_of_bound', LinearIsometry.map_sub, VectorFourier.fourierIntegral_iteratedFDeriv, AffineIsometryEquiv.map_vsub, InnerProductSpace.nnnorm_rankOne, ContinuousMultilinearMap.norm_image_sub_le, stereographic_apply_neg, Filter.BoundedAtFilter.smul, NormedSpace.isVonNBounded_closedBall, ContinuousLinearMap.flip_smul, ContinuousLinearEquiv.isBigO_sub, enorm_sub_rev, dist_vsub_cancel_left, InnerProductSpace.isSymmetricProjection_rankOne_self, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, Complex.differentiableOn_update_limUnder_of_bddAbove, tendsto_sub_const_cobounded, nndist_smul_le, add_mem_ball_iff_norm, nnnorm_star, norm_zero, dist_self_sub_right, LinearIsometryEquiv.smul_apply, NormedAddGroupHom.lift_normNoninc, Asymptotics.IsBigOWith.right_le_sub_of_lt_one, QuotientAddGroup.norm_lt_iff, EuclideanGeometry.orthogonalProjection_apply', NormedSpace.toNormSMulClass, eventually_nnnorm_sub_lt, mem_closedBall_iff_norm, ContinuousLinearMap.fderiv_of_bilinear, Matrix.linftyOpIsBoundedSMul, BoundedContinuousFunction.instStarModule, Real.fourierIntegral_continuousLinearMap_apply, QuotientAddGroup.norm_eq_infDist, ContinuousLinearMap.norm_smulRightL, Asymptotics.IsBigOWith.const_smul_left, convexOn_univ_norm, PiLp.sub_apply, hasStrictFDerivAt_iff_isLittleO, NormedAlgebra.exists_isMinOn_norm_sub_smul, InnerProductSpace.trace_rankOne, Matrix.isBoundedSMul, dist_vadd_cancel_right, infEDist_smul₀, Affine.Simplex.abs_inner_vsub_altitudeFoot_lt_mul, norm_le_add_norm_add', ContinuousLinearMap.compL_apply, star_isometry, ContinuousLinearMap.lsmul_flip_inj, ball_eq, ball_zero_add_singleton, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, norm_smul_of_nonneg, dist_eq_norm', norm_sub_le_of_geometric_bound_of_hasSum, Matrix.frobenius_norm_conjTranspose, ContinuousLinearMap.flip_apply, Ioo_smul_sphere_zero, Real.hasFDerivAt_fourier, smul_sphere', real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, InnerProductSpace.adjoint_rankOne, NormedAddCommGroup.cauchySeq_iff, InnerProductSpace.rankOne_eq_zero, RCLike.mul_wInner_left, NormedStarGroup.to_continuousStar, disjoint_nhds_zero, inner_map_polarization', InnerProductSpace.inner_right_rankOne_apply, Asymptotics.isBigOTVS_iff_isBigO, Asymptotics.IsLittleO.smul, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, ball_add_zero, QuotientAddGroup.norm_mk, ContinuousLinearMap.fderivWithin_of_bilinear, AffineSubspace.signedInfDist_eq_signedDist_of_mem, Affine.Simplex.signedInfDist_apply_self, norm_le_insert', VectorFourier.iteratedFDeriv_fourierIntegral, nndist_vadd_left, EuclideanGeometry.Sphere.IsTangentAt.inner_right_eq_zero_of_mem, InnerProductSpace.rankOne_eq_rankOne_iff_comm, norm_sub_eq_sqrt_iff_real_inner_eq_zero, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_left, ContinuousLinearMap.precompR_apply, uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_zero, Asymptotics.IsLittleO.isLittleOTVS, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, HasStrictFDerivAt.isLittleO, AlternatingMap.mkContinuousAlternating_norm_le, NormedAddGroupHom.mem_ker, eventually_norm_sub_lt, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, uniformCauchySeqOn_iff_tendstoUniformlyOn_zero, nnnorm_add_eq_nnnorm_left, ContinuousLinearMap.isBoundedBilinearMap, uniformContinuous_vsub, ball_normSeminorm, LinearMap.extendTo𝕜_apply, fderivWithin_continuousMultilinear_apply_const, inv_norm_smul_mem_unitClosedBall, Affine.Simplex.mongePlane_def, dist_eq_norm_vsub', Asymptotics.IsBigOWith.sub_isLittleO, inner_eq_sum_norm_sq_div_four, ContinuousLinearMap.lsmul_apply, NormedAddGroupHom.coe_nsmul, ContinuousLinearMap.bilinearComp_zero_right, InnerProductSpace.rank_rankOne, NormedAddGroupHom.mk_toAddMonoidHom, ContinuousLinearMap.adjointAux_apply, BoundedContinuousFunction.instIsScalarTower_1, Asymptotics.IsLittleO.smul_isBigO, Asymptotics.isLittleO_const_smul_left, InnerProductSpace.rankOne_def, ContinuousLinearMap.coe_flipₗᵢ', norm_add_le, norm_abs_zsmul, ball_sub_zero, ContinuousMultilinearMap.prodL_apply, EuclideanGeometry.inner_pos_or_eq_of_dist_le_radius, convex_eball, AddSubgroup.norm_coe, ContinuousLinearMap.coe_flipMultilinearEquiv, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, MeasureTheory.setToFun_smul_left, eventually_singleton_add_smul_subset, add_ball_zero, EuclideanGeometry.Sphere.sbtw_secondInter, NormedStarGroup.norm_star_le, PiTensorProduct.liftEquiv_symm_apply, dist_right_pointReflection, quotient_norm_add_le, inner_smul_real_right, normedAddGroupHomCompletionHom_apply, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, mem_approx_add_orderOf_iff, IsBoundedLinearMap.smul, EuclideanGeometry.Sphere.IsTangentAt.inner_left_eq_zero_of_mem, mem_closure_zero_iff_norm, Asymptotics.isLittleO_pow_sub_pow_sub, RCLike.wInner_sub_left, vadd_ball_zero, Asymptotics.isLittleO_const_smul_right, IsUltrametricDist.nnnorm_add_eq_max_of_nnnorm_ne_nnnorm, closedBall_zero_sub_singleton, ContinuousLinearMap.norm_precompR_le, NormedSpace.isVonNBounded_iff', PiTensorProduct.liftEquiv_apply, MultilinearMap.mkContinuousLinear_norm_le, LinearIsometry.toSpanSingleton_apply, inner_eq_norm_sq_left_iff, dist_add_self_left, Asymptotics.isTheta_const_smul_left, infEdist_smul₀, mem_nullAddSubgroup_iff, norm_zsmul_le, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, ContinuousLinearMap.prodMapL_apply, MeasureTheory.dist_convolution_le, AffineIsometryEquiv.coe_vaddConst, NormedAddGroupHom.sub_apply, nnnorm_neg, InnerProductSpace.enorm_rankOne, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, ContinuousMultilinearMap.flipLinear_apply_apply, NormedAddGroupHom.Equalizer.liftEquiv_apply, Real.fourier_fderiv, rescale_to_shell_semi_normed, Continuous.continuousLinearMapCoprod, NormedAddGroupHom.range_comp_incl_top, EuclideanGeometry.reflection_apply_of_mem, VectorFourier.fderiv_fourierIntegral, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, norm_add_eq_norm_left, NormedSpace.isVonNBounded_of_isBounded, real_inner_add_sub_eq_zero_iff, Asymptotics.isLittleO_refl_left, AffineIsometry.map_vsub, nnnorm_sub_eq_nnnorm_left, norm_nsmul_le, nsmul_mem_closedBall, smul_unitBall_of_pos, LinearIsometryEquiv.toSpanUnitSingleton_apply, Asymptotics.IsBigOWith.smul, lipschitzWith_iff_norm_sub_le, LipschitzWith.vadd, mem_ball_iff_norm, DilationEquiv.smulTorsor_apply, abs_norm_sub_norm_le, preimage_add_closedBall, NormedAddGroup.to_isIsometricVAdd_left, squeeze_zero_norm', MeasureTheory.DominatedFinMeasAdditive.smul, AlternatingMap.norm_image_sub_le_of_bound, Bornology.IsBounded.smul₀, nndist_vsub_vsub_le, NormedAddGroupHom.isClosed_ker, ContinuousLinearMap.opNorm_add_le, AddSubgroup.coe_norm, NormedAddGroup.to_isIsometricVAdd_right, EuclideanGeometry.Sphere.sOppSide_faceOpposite_secondInter_of_mem_interior_faceOpposite, ConvexBody.isBounded, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, mem_sphere_zero_iff_norm, PiTensorProduct.dualSeminorms_bounded, vadd_closedBall'', add_mem_closedBall_iff_norm, QuotientAddGroup.nhds_zero_hasBasis, HasStrictFDerivAt.continuousMultilinear_apply_const, inner_vsub_vsub_right_eq_dist_sq_left_iff, Affine.Simplex.direction_mongePlane, nnnorm_isUnit_zsmul, dist_sub_sub_le_of_le, SchwartzMap.fourier_evalCLM_eq, dist_vsub_cancel_right, nnnorm_indicator_eq_indicator_nnnorm, ContinuousMultilinearMap.opNorm_add_le, ContinuousLinearMap.bilinearComp_apply, NormedAddGroupHom.comp_range, NormedAddGroupHom.Equalizer.ι_comp_map, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, EuclideanGeometry.Sphere.sOppSide_faceOpposite_secondInter_of_mem_interior, dist_vadd_left, starₗᵢ_apply, NormedAddGroupHom.Equalizer.lift_normNoninc, edist_smul₀, ContinuousAt.continuousLinearMapCoprod, HasFDerivAt.continuousAlternatingMap_apply_const, PiTensorProduct.injectiveSeminorm_apply, NormedAddGroupHom.toAddMonoidHom_injective, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, BoundedContinuousFunction.mkOfCompact_neg, nnnorm_add_eq_nnnorm_right, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, NormedAddCommGroup.tendsto_nhds_nhds, dist_add_add_le, nndist_eq_nnnorm_sub, PositiveLinearMap.gnsStarAlgHom_apply, convex_closedEBall, Asymptotics.isLittleOTVS_iff_isLittleO, convex_ball, AlternatingMap.norm_image_sub_le_of_bound', real_inner_smul_right, ContinuousLinearMap.flip_add, LipschitzWith.add, infDist_smul₀, ContinuousLinearEquiv.isBigO_sub_rev, LinearIsometry.map_smulₛₗ, stereographic_neg_apply, dist_add_add_le_of_le, HasFDerivAtFilter.isLittleO, ContinuousLinearMap.bilinearComp_zero, segment_subset_closedBall_left, MultilinearMap.mkContinuousLinear_norm_le', ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, instIsTopologicalAddTorsor_1, IsUltrametricDist.norm_zsmul_le, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, IsCompact.sub_closedBall_zero, dist_vadd_right, closure_zero_eq, edist_add_add_le, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ContinuousLinearMap.le_opNorm₂, quotient_norm_mk_eq, InnerProductSpace.rankOne_def', AffineSubspace.mem_perpBisector_iff_inner_eq_inner, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, NormedAddGroupHom.incl_apply, EuclideanGeometry.inversion_def, Affine.Simplex.inner_vsub_altitudeFoot_vsub_altitudeFoot_eq_zero, norm_le_norm_sub_add, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', NormedAddGroupHom.Equalizer.ι_comp_lift, Orthonormal.inner_left_sum, inner_sub_left, egauge_ball_one_le_of_one_lt_norm, MeasureTheory.dist_convolution_le', Matrix.linftyOpNormSMulClass, WithLp.normSMulClassSeminormedAddCommGroupToProd, PiLp.smul_apply, abs_signedDist_eq_dist_iff_vsub_mem_span, LinearIsometryEquiv.strictConvex_image, MultilinearMap.mkContinuousMultilinear_norm_le', LipschitzWith.norm_sub_le, LipschitzWith.sub, nndist_vadd_right, LocallyLipschitzOn.sub, LipschitzWith.vsub, Bornology.IsBounded.sub, ContinuousLinearMap.extendTo𝕜_apply, nnnorm_zero, SeminormedAddCommGroup.mem_closure_iff, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, nnnorm_units_zsmul, nndist_eq_nnnorm_vsub, norm_sub_sq_eq_norm_sq_add_norm_sq_real, Complex.UnitDisc.mk_neg, Asymptotics.IsTheta.isThetaTVS, QuotientAddGroup.norm_lift_apply_le, dist_zero_left, MultilinearMap.norm_image_sub_le_of_bound, Filter.Tendsto.zero_smul_isBoundedUnder_le, norm_natAbs_smul, IsUltrametricDist.nnnorm_nsmul_le, ContinuousAlternatingMap.norm_image_sub_le', singleton_add_closedBall_zero, dist_sub_eq_dist_add_left, Asymptotics.IsLittleO.right_isBigO_sub, NormedAddGroupHom.SurjectiveOnWith.surjOn, norm_sub_sub_norm_sub_le_norm_sub, LipschitzOnWith.add, signedDist_vsub_self_rev, approxAddOrderOf.image_nsmul_subset, InnerProductSpace.isStarProjection_rankOne_self, ContinuousAlternatingMap.piLIE_symm_apply_apply, SeminormedAddCommGroup.to_lipschitzAdd, Matrix.norm_conjTranspose, LinearMap.mkContinuous₂_norm_le, dist_eq_norm_sub', norm_sub_le_of_le, LocallyLipschitz.sub, UpperHalfPlane.isZeroAtImInfty_iff, smul_unitBall, norm_isUnit_zsmul, MeasureTheory.tendstoInMeasure_iff_measureReal_enorm, nnnorm_smul_le, EuclideanGeometry.Sphere.IsTangent.eq_orthRadius_or_eq_orthRadius_pointReflection_of_parallel_orthRadius, NormedAddGroupHom.Equalizer.lift_apply_coe, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, AffineIsometryEquiv.coe_vaddConst_symm, EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_right, norm_sub_eq_norm_right, PiTensorProduct.mapLMultilinear_apply_apply, HasFDerivWithinAt.clm_comp, QuotientAddGroup.norm_mk_eq_zero, NonUnitalSeminormedRing.isBoundedSMul, signedDist_vsub_self, LinearIsometryEquiv.map_sub, InnerProductSpace.rankOne_comp_rankOne, NormedAddGroupHom.ker_completion, singleton_sub_ball_zero, parallelogram_law, TrivSqZeroExt.instL1IsBoundedSMul, InnerProductSpace.rankOne_comp, Asymptotics.IsTheta.const_smul_left, inner_smul_right, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, HasFDerivWithinAt.continuousMultilinear_apply_const, dist_pointReflection_right, InnerProductSpace.isSymmetric_rankOne_self, tendsto_zero_iff_norm_tendsto_zero, closedBall_add_singleton, nndist_zero_right, IsUltrametricDist.nonarchimedeanAddGroup, IsUltrametricDist.norm_add_le_max, IsUltrametricDist.norm_add_eq_max_of_norm_ne_norm, mem_sphere_iff_norm, Matrix.nnnorm_conjTranspose, inner_sum_smul_sum_smul_of_sum_eq_zero, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, mem_ball_iff_norm', IsBoundedBilinearMap.map_sub_left, AddSubgroup.surjective_normedMk, ContinuousMultilinearMap.iteratedFDerivComponent_apply, controlled_closure_range_of_complete, ball_add, Asymptotics.IsBigO.sub_iff_left, NormedAddCommGroup.tendsto_nhds_zero, ContinuousLinearMap.rotation_apply, Real.iteratedFDeriv_fourier, IsCompact.sub_closedBall, inner_smul_real_left, add_mem_closedBall_add_iff, NormedAddCommGroup.uniformity_basis_dist, IsBoundedBilinearMap.toContinuousLinearMap_apply, BoundedContinuousFunction.coe_zsmulRec, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, Real.hasFDerivAt_fourierIntegral, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, ProbabilityTheory.condExp_ae_eq_integral_condDistrib', NormedAddGroupHom.coe_sub, IsBoundedLinearMap.isBigO_sub, SemiNormedGrp₁.instAddMonoidHomClassSubtypeNormedAddGroupHomCarrierNormNoninc, fderiv_continuousMultilinearMapCompContinuousLinearMap, add_ball, dist_vadd_cancel_left, inner_eq_ofReal_norm_sq_left_iff, absorbent_ball, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, ContinuousLinearMap.opNorm_lsmul_le, EuclideanGeometry.Sphere.secondInter_vsub_mem_affineSpan, dist_vsub_vsub_le, AntilipschitzWith.le_mul_norm_sub, EuclideanGeometry.inner_nonneg_of_dist_le_radius, MultilinearMap.mkContinuousMultilinear_norm_le, WithLp.instProdNormSMulClass, dist_self_sub_left, coe_starₗᵢ, IsometryEquiv.vaddConst_apply, closedBall_normSeminorm, IsBoundedBilinearMap.map_sub_right, inner_vsub_vsub_left_eq_dist_sq_right_iff, Matrix.star_dotProduct_gram_mulVec, OpenPartialHomeomorph.univUnitBall_apply, ContinuousLinearMap.norm_compL_le, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, AddSubgroup.ker_normedMk, NormedAddGroupHom.IsQuotient.norm, fderivWithin_clm_comp, Matrix.normSMulClass, ball_add_singleton, norm_sub_le_norm_add, SeminormedAddCommGroup.lipschitzWith_sub, fderiv_continuousMultilinear_apply_const, AffineIsometry.map_vadd, ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv, IsCompact.closedBall_zero_sub, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, NormedAddTorsor.to_isIsIsometricVAdd, real_inner_sub_sub_self, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, NormedAddGroupHom.coe_ker, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, norm_sub_norm_le, balanced_closedBall_zero, isBoundedBilinearMap_smul, fderivWithin_continuousAlternatingMap_apply_const, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, coe_normSeminorm, nndist_vsub_cancel_left, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedAddGroupHom.toAddMonoidHomClass, NormedDivisionRing.toNormSMulClass, Asymptotics.isBigO_comm, dist_indicator, AbsolutelyContinuousOnInterval.sub, ediam_smul₀, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero, nnnorm_natAbs_smul, NormedAddGroupHom.lift_norm_le, NormedAddGroupHom.mem_range_self, Asymptotics.isBigO_refl_left, EuclideanGeometry.angle_const_vsub, inner_sub_right, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, SeparationQuotient.normedMk_apply, ContinuousMultilinearMap.compContinuousLinearMapL_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, Asymptotics.IsLittleO.tendsto_inv_smul_nhds_zero, ContinuousLinearMap.norm_bilinearRestrictScalars, inseparable_zero_iff_norm, ContinuousMultilinearMap.prodL_symm_apply, Bornology.IsBounded.neg, NormedAddGroupHom.ker.incl_comp_lift, Affine.Simplex.neg_one_lt_inner_vsub_altitudeFoot_div, MeasureTheory.measureReal_abs_inner_gt_le_integral_charFun, AffineSubspace.signedInfDist_singleton, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, norm_neg, ContinuousLinearMap.bilinearComp_zero_left, SchwartzMap.fderivCLM_fourier_eq, BoundedContinuousFunction.star_apply, edist_vadd_vadd_le, abs_dist_sub_le_dist_add_add, IsometryEquiv.constVSub_apply, Filter.neg_cobounded, BoundedContinuousFunction.coe_star, InnerProductSpace.toLinearMap_rankOne, HasStrictFDerivAt.clm_apply, vadd_closedBall_zero, ContinuousLinearMap.isBigO_sub, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, Asymptotics.IsBigO.sub_iff_right, edist_zero_right, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO, SeparationQuotient.liftNormedAddGroupHom_apply, squeeze_zero_norm, Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter, EuclideanGeometry.reflection_apply', Real.fourierIntegral_continuousLinearMap_apply', NormedAddGroupHom.norm_lift_le, ContinuousLinearMap.hasFDerivAt_of_bilinear, Matrix.frobeniusNormSMulClass, Asymptotics.IsLittleO.sub_iff_right, smul_ball, NormedAddGroupHom.Equalizer.map_comp_map, ContinuousAlternatingMap.prodLIE_apply, dist_smul₀, NormedAddGroupHom.Equalizer.comp_ι_eq, ContinuousLinearMap.opNorm_flip, NormedAddGroupHom.nsmul_apply, BoundedContinuousFunction.abs_diff_coe_le_dist, NormedAddGroupHom.ker_le_ker_completion, AlternatingMap.mkContinuousLinear_norm_le, QuotientAddGroup.norm_eq_addGroupSeminorm, fderiv_clm_apply, ContinuousLinearMap.norm_compSL_le, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, nnnorm_commutator_units_sub_one_le, Asymptotics.isLittleO_one_iff, NormedAddGroupHom.coeAddHom_apply, IsBoundedLinearMap.sub, InnerProductSpace.isIdempotentElem_rankOne_self_iff, div_le_egauge_ball, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, SameRay.norm_smul_eq, inner_map_polarization, NormedAddCommGroup.tendsto_atTop, nndist_vsub_cancel_right, Real.iteratedFDeriv_fourierIntegral, ball_zero_sub_singleton, inner_smul_left_eq_smul, IsometryEquiv.vaddConst_symm_apply, ContinuousLinearMap.reApplyInnerSelf_smul, enorm_smul_le, AffineIsometryEquiv.map_vadd, norm_sub_eq_norm_left, NormedAddGroupHom.Equalizer.map_id, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, dist_sub_eq_dist_add_right, AlternatingMap.mkContinuousAlternating_norm_le_max, OrthonormalBasis.sum_rankOne_eq_id, nnnorm_sub_mul_le, AffineSubspace.signedInfDist_def, NormedAddGroupHom.isQuotientQuotient, QuotientAddGroup.norm_mk_le_norm, HasStrictFDerivAt.continuousAlternatingMap_apply_const, nndist_indicator, ContinuousLinearMap.norm_smulRightL_le, dist_pointReflection_left, norm_add₄_le, LinearIsometryEquiv.symm_smul_apply, coe_normAddGroupSeminorm, dist_eq_norm_vsub, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, inner_smul_right_eq_smul, instBoundedSub, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, nnnorm_le_nnnorm_add_nnnorm_sub', norm_commutator_units_sub_one_le, Affine.Simplex.signedInfDist_affineCombination, NormSMulClass.toIsBoundedSMul, mem_emetric_ball_zero_iff, NormedAddGroupHom.ker.lift_apply_coe, nndist_eq_nnnorm, MeasureTheory.tendstoInMeasure_iff_enorm, ContinuousLinearMap.flipₗᵢ'_symm, le_egauge_ball_one, sub_ball_zero, signedDist_eq_dist_iff_vsub_mem_span, AffineSubspace.direction_perpBisector, AbsolutelyContinuousOnInterval.fun_smul, ContinuousLinearMap.flip_zero, nnnorm_abs_zsmul, ContinuousLinearMap.extendTo𝕜'_apply, EuclideanGeometry.dist_smul_vadd_eq_dist, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_apply, ConvexBody.hausdorffDist_coe, Real.fourier_continuousMultilinearMap_apply, AffineSubspace.mem_perpBisector_iff_inner_eq, Asymptotics.IsTheta.const_smul_right, Complex.differentiableOn_update_limUnder_insert_of_isLittleO, BoundedContinuousFunction.zsmul_apply, dist_self_add_right, NormedAddCommGroup.nhds_zero_basis_norm_lt, div_le_egauge_closedBall, AffineIsometryEquiv.coe_vaddConst', uniformContinuous_vadd, preimage_add_ball, norm_add_le_of_le, IsUltrametricDist.norm_sub_eq_max_of_norm_sub_ne_norm_sub, norm_add_sub_norm_sub_le_two_mul_min, SchwartzMap.fourier_fderivCLM_eq, Asymptotics.isBigO_const_smul_left, ConvexBody.hausdorffEDist_coe, IsCompact.closedBall_add, real_inner_smul_left, norm_sub_rev, NormedAddGroupHom.mem_range, ediam_add_le, ConvexBody.hausdorffEdist_coe, singleton_add_ball_zero, ContinuousMultilinearMap.smulRightL_apply, AddSubgroup.norm_normedMk, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, isClosed_nullAddSubgroup, dist_self_add_left, QuotientAddGroup.exists_norm_add_lt, nndist_nnnorm_nnnorm_le, nndist_zero_left, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, ContinuousLinearMap.lsmul_flip_apply, mem_closedBall_zero_iff, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, norm_sub_eq_norm_add, LinearIsometryEquiv.map_smul, Asymptotics.IsBigO.const_smul_self, SeminormedAddCommGroup.toIsTopologicalAddGroup, EuclideanGeometry.orthogonalProjection_apply, re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, EuclideanGeometry.Sphere.direction_orthRadius, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, EuclideanGeometry.inner_pos_of_dist_lt_radius, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, norm_le_insert, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, inner_vsub_vsub_left_eq_dist_sq_left_iff, norm_sub_pow_two, singleton_add_ball, NormedAddGroupHom.Equalizer.norm_lift_le, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, nndist_vadd_cancel_left, EuclideanGeometry.inner_vsub_vsub_of_mem_sphere_of_mem_sphere, approxAddOrderOf.image_nsmul_subset_of_coprime, Asymptotics.IsBigOWith.sub, IsUltrametricDist.nnnorm_sub_eq_max_of_nnnorm_sub_ne_nnnorm_sub, edist_vsub_vsub_le, closedBall_sub_closedBall, tendsto_norm_zero, mem_eball_zero_iff, dist_add_self_right, norm_units_zsmul, ball_sub_ball, norm_sub_mul_le, PiTensorProduct.mapL_add, MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Ioi, dist_zero_right, inner_sub_sub_self, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, NormedAddGroupHom.coe_smul, Asymptotics.isLittleO_pow_sub_sub, nnnorm_sub_mul_le', OpenPartialHomeomorph.unitBallBall_symm_apply, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, AddSubgroup.normedMk.apply, EuclideanGeometry.Sphere.secondInter_eq_lineMap, vadd_ball'', nnnorm_sub_le, NormedAddGroupHom.ker_zero, BoundedContinuousFunction.mkOfCompact_sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, IsCompact.add_closedBall_zero, Filter.tendsto_neg_cobounded, norm_sub_mul_self_real, real_inner_smul_self_right, dist_smul_add_one_sub_smul_le, disjoint_nhds, dist_eq, tendstoUniformlyOn_zero, OpenPartialHomeomorph.univUnitBall_symm_apply, AffineSubspace.mem_perpBisector_pointReflection_iff_inner_eq_zero, ContinuousAlternatingMap.prodLIE_symm_apply, nsmul_mem_ball, dist_norm_norm_le, ContinuousLinearMap.apply_apply', ball_sub_singleton, LocallyLipschitz.add, Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_pointReflection_center_left, nndist_vadd_vadd_le, Orthonormal.inner_right_fintype, ContinuousLinearMap.flipₗᵢ_symm, nnnorm_add_le, Asymptotics.isTheta_const_smul_right, fderivWithin_clm_apply, dist_zero, AlternatingMap.mkContinuousLinear_norm_le_max, WithLp.instProdIsBoundedSMul, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, inner_eq_norm_sq_right_iff, lipschitzWith_smul, Affine.Simplex.affineSpan_pair_eq_altitude_iff, absorbent_ball_zero, edist_smul_le, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, nnnorm_le_add_nnnorm_add', HasStrictFDerivAt.clm_comp, singleton_sub_closedBall, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.smulRightL_apply_apply, norm_indicator_le_norm_self, sub_ball, OpenPartialHomeomorph.unitBallBall_apply, Asymptotics.IsLittleO.sub, Asymptotics.IsBigO.isBigOTVS, singleton_add_closedBall, ContinuousAlternatingMap.compContinuousLinearMapCLM_apply, NormedAddCommGroup.tendsto_atTop', EuclideanGeometry.orthogonalProjection_eq_iff_mem, Affine.Simplex.ninePointCircle_center, tendsto_norm_sub_self_nhdsGE, EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq, edist_indicator, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, ContinuousLinearMap.norm_precompL_le, MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Iic, ContinuousLinearMap.apply_apply, AbsolutelyContinuousOnInterval.smul, Asymptotics.isThetaTVS_iff_isTheta, Real.fourierIntegral_continuousMultilinearMap_apply', ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, AlternatingMap.mkContinuousAlternating_apply, PiTensorProduct.mapLMultilinear_opNorm, ContinuousMultilinearMap.norm_image_sub_le', Asymptotics.IsLittleO.sub_iff_left, NormedAddGroupHom.zsmul_apply, AffineIsometryEquiv.dist_pointReflection_self', Real.fourierIntegral_iteratedFDeriv, closedBall_zero_add_singleton, MeasureTheory.StronglyMeasurable.norm_approxBounded_le, dist_vadd_vadd_le, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, IsUltrametricDist.nnnorm_add_le_max, le_egauge_closedBall_one, NormedAddGroupHom.Equalizer.liftEquiv_symm_apply_coe, InnerProductSpace.symm_toEuclideanLin_rankOne, MeasureTheory.charFun_map_smul, convex_closedBall, ContinuousOn.continuousLinearMapCoprod, HasFDerivAt.clm_comp, Matrix.frobenius_nnnorm_conjTranspose, IsBoundedBilinearMap.smul_right, nnnorm_zsmul_le, isBoundedLinearMap_prod_multilinear, Orthonormal.inner_sum, EuclideanGeometry.reflection_apply, Matrix.instNormedStarGroup, mem_ball_zero_iff, norm_sub_le_norm_sub_add_norm_sub, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_left, IsCompact.add_closedBall, ball_sub_closedBall, EuclideanGeometry.Sphere.secondInter_eq_self_iff, ContinuousLinearMap.norm_smulRightL_apply, inner_eq_ofReal_norm_sq_right_iff, Bornology.IsBounded.add, DoubleCentralizer.coe_snd, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, lipschitzOnWith_iff_norm_sub_le, IsUltrametricDist.nnnorm_zsmul_le, NormedAddCommGroup.nhds_basis_norm_lt, nndist_eq_nnnorm_vsub', Affine.Simplex.points_vsub_eulerPoint, AntilipschitzWith.add_lipschitzWith, inner_vsub_vsub_right_eq_dist_sq_right_iff, EuclideanGeometry.Sphere.eq_or_eq_secondInter_iff_mem_of_mem_affineSpan_pair, Asymptotics.IsBigO.smul_isLittleO, HasFDerivWithinAt.continuousAlternatingMap_apply_const, inner_vsub_left_eq_zero_symm, ContinuousLinearMap.toSesqForm_apply_norm_le, ContinuousAlternatingMap.norm_image_sub_le, ContinuousLinearMap.coe_deriv₂, inner_smul_left, SeminormedAddCommGroup.to_isUniformAddGroup, NormedAddGroupHom.norm_incl, HolderWith.smul_iff, NormedAddTorsor.dist_eq_norm', norm_add_eq_norm_right, Circle.norm_smul, Asymptotics.IsLittleO.const_smul_left, InnerProductSpace.norm_rankOne, add_mem_ball_add_iff, PiTensorProduct.mapLMultilinear_toFun_apply, LinearIsometryEquiv.map_smulₛₗ, real_inner_I_smul_self, Orthonormal.inner_right_sum, tendsto_iff_norm_sub_tendsto_zero, ContinuousLinearMap.flipAlternating_apply_apply, NormedAddGroupHom.coe_zsmul, Complex.restrictScalars_toSpanSingleton', norm_add_sub_norm_sub_le_two_mul, IsCompact.closedBall_sub, AbsolutelyContinuousOnInterval.fun_sub, IsUltrametricDist.norm_nsmul_le, Affine.Simplex.inner_vsub_vsub_altitudeFoot_eq_height_sq
toNorm 📖	CompOp	170 math math: MeasureTheory.tendstoInMeasure_iff_measureReal_norm, norm_eq_of_mem_sphere, norm_smul_le, LipschitzOnWith.norm_sub_le, dist_smul_le, eventually_cobounded_le_norm, dist_eq_norm, norm_le_norm_add_const_of_dist_le, ContinuousOn.isBigO_principal, dist_le_norm_add_norm, dist_eq_norm_sub, MulOpposite.norm_unop, norm_le_norm_add_norm_sub', ball_zero_eq, norm_le_add_norm_add, norm_add₃_le, comap_norm_nhds_zero, AntilipschitzWith.le_mul_norm, norm_le_norm_add_norm_sub, MeasureTheory.L1.setToL1_smul_left, uniformContinuous_norm, norm_indicator_eq_indicator_norm, mem_closedBall_iff_norm', norm_indicator_le_of_subset, norm_sub_le, norm_le_of_mem_closedBall, tendsto_norm_sub_self, MeasureTheory.tendstoInMeasure_iff_norm, indiscreteTopology_iff_forall_norm_eq_zero, norm_zero, mem_closedBall_iff_norm, indicator_norm_le_norm_self, norm_le_add_norm_add', ball_eq, dist_eq_norm', ContinuousOn.isBigO_rev_principal, norm_map, NormedAddCommGroup.cauchySeq_iff, disjoint_nhds_zero, pi_norm_le_iff_of_nonneg, norm_le_insert', ContinuousWithinAt.norm, Filter.Tendsto.norm, toReal_enorm, HasCompactSupport.exists_bound_of_continuous, norm_le_pi_norm, NormSMulClass.of_nnnorm_smul, norm_add_le, norm_abs_zsmul, AddSubgroup.norm_coe, MeasureTheory.setToFun_smul_left, Filter.hasBasis_cobounded_norm, ContinuousOn.isTheta_principal, IndiscreteTopology.norm_eq_zero, enorm_le_iff_norm_le, normRingNorm_toFun, mem_closure_zero_iff_norm, dist_add_self_left, norm_of_subsingleton, Bornology.IsBounded.exists_pos_norm_lt, norm_nsmul_le, lipschitzWith_iff_norm_sub_le, mem_ball_iff_norm, abs_norm_sub_norm_le, MeasureTheory.DominatedFinMeasAdditive.smul, Pi.sum_norm_apply_le_norm, AddSubgroup.coe_norm, mem_sphere_zero_iff_norm, ContinuousOn.isBigOWith_rev_principal, pi_norm_lt_iff, Pi.norm_def, Continuous.norm, NormedAddCommGroup.tendsto_nhds_nhds, ContinuousOn.isBigOWith_principal, IsUltrametricDist.norm_zsmul_le, comap_norm_atTop, isBounded_iff_forall_norm_le, closure_zero_eq, AddGroupSeminormClass.toSeminormedAddGroup_norm_eq, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, norm_le_norm_sub_add, LipschitzWith.norm_sub_le, LipschitzWith.norm_le_mul, SeminormedAddCommGroup.mem_closure_iff, Isometry.norm_map_of_map_zero, Complex.UnitDisc.mk_neg, dist_zero_left, norm_natAbs_smul, norm_sub_sub_norm_sub_le_norm_sub, Prod.instNormSMulClass, dist_eq_norm_sub', UpperHalfPlane.isZeroAtImInfty_iff, norm_isUnit_zsmul, Filter.HasBasis.cobounded_of_norm, ofReal_norm_eq_enorm, IsCompact.exists_bound_of_continuousOn, tendsto_zero_iff_norm_tendsto_zero, ZeroHomClass.bound_of_antilipschitz, IsUltrametricDist.norm_add_le_max, IsUltrametricDist.norm_add_eq_max_of_norm_ne_norm, mem_sphere_iff_norm, mem_ball_iff_norm', NormedAddCommGroup.tendsto_nhds_zero, NormedAddCommGroup.uniformity_basis_dist, coe_nnnorm, tendsto_norm, norm_sub_le_norm_add, MulOpposite.norm_op, AddMonoidHomClass.isometry_iff_norm, norm_sub_norm_le, NormedDivisionRing.toNormSMulClass, dist_indicator, pi_norm_le_iff_of_nonempty, inseparable_zero_iff_norm, norm_neg, UpperHalfPlane.IsZeroAtImInfty.isBoundedAtImInfty, tendsto_norm_cobounded_atTop, ContinuousAt.norm, AddSubgroupClass.coe_norm, pi_norm_const, Asymptotics.isLittleO_one_iff, tendsto_norm_atTop_iff_cobounded, ContinuousOn.norm, Bornology.IsBounded.exists_norm_le, norm_add₄_le, coe_normAddGroupSeminorm, coe_comp_nnnorm, ofReal_norm, Asymptotics.isBigO_iff'', NormedAddCommGroup.nhds_zero_basis_norm_lt, IsUltrametricDist.norm_sub_eq_max_of_norm_sub_ne_norm_sub, Inseparable.norm_eq_norm, norm_sub_rev, zero_lt_one_add_norm_sq, abs_norm, Filter.ZeroAtFilter.boundedAtFilter, mem_closedBall_zero_iff, enorm_eq_iff_norm_eq, Bornology.IsBounded.exists_pos_norm_le, norm_le_insert, toReal_coe_nnnorm, tendsto_norm_zero, dist_add_self_right, norm_units_zsmul, dist_zero_right, norm_toNNReal, tendsto_norm_comp_cofinite_atTop_of_isClosedEmbedding, disjoint_nhds, dist_eq, ULift.instNormSMulClass, dist_norm_norm_le, continuous_norm, dist_zero, norm_nonneg, norm_indicator_le_norm_self, tendsto_norm_sub_self_nhdsGE, mem_ball_zero_iff, norm_sub_le_norm_sub_add_norm_sub, antilipschitzWith_iff_exists_mul_le_norm, norm_lt_of_mem_ball, lipschitzOnWith_iff_norm_sub_le, NormedAddCommGroup.nhds_basis_norm_lt, Asymptotics.isBigO_iff', tendsto_norm_cocompact_atTop, pi_norm_const_le, tendsto_iff_norm_sub_tendsto_zero, CauchySeq.norm_bddAbove, norm_add_sub_norm_sub_le_two_mul, lipschitzWith_one_norm, IsUltrametricDist.norm_nsmul_le
toPseudoMetricSpace 📖	CompOp	529 math math: MeasureTheory.HasFiniteIntegral.of_subsingleton, MeasureTheory.tendstoInMeasure_iff_measureReal_norm, norm_eq_of_mem_sphere, edist_eq_enorm_sub, MeasureTheory.eLpNorm'_norm, MeasureTheory.eLpNormEssSup_const_smul_le, HasStrictFDerivAt.isLittleOTVS, TensorProduct.enorm_lid, ProbabilityTheory.IsGaussian.memLp_id, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, ProbabilityTheory.IdentDistrib.memLp_iff, MeasureTheory.eLpNorm_condExp_le, tendsto_norm_sub_self_nhdsNE, MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, MeasureTheory.eLpNormEssSup_const_smul, IsUltrametricDist.isUltrametricDist_of_forall_norm_add_le_max_norm, MeasureTheory.unifTight_iff_real, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, MeasureTheory.eLpNorm'_const', MeasureTheory.memLp_top_of_bound, egauge_prod_mk, dist_smul_le, MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, MeasureTheory.eLpNorm_mono_nnnorm_ae, Asymptotics.isLittleOTVS_one, MeasureTheory.Lp.edist_def, ZLattice.covolume_eq_det_inv, ContinuousLinearMap.comp_memLp, MeasureTheory.AEStronglyMeasurable.memLp_truncation, eventually_cobounded_le_norm, AddMonoidHomClass.lipschitz_of_bound_nnnorm, LipschitzWith.memLp_lineDeriv, eventually_enorm_mfderivWithin_symm_extChartAt_lt, TensorProduct.enorm_comm, WithLp.enorm_snd_le, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, Int.enorm_natCast, MeasureTheory.L1.ofReal_norm_eq_lintegral, AntitoneOn.memLp_isCompact, MeasureTheory.Lp.dist_def, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, AddMonoidHomClass.isometry_of_norm, dist_eq_norm, HasMFDerivWithinAt.prodMk, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, edist_zero_left, MeasureTheory.le_eLpNorm_of_bddBelow, MeasureTheory.Lp.memLp, MeasureTheory.Lp.nnnorm_def, egauge_ball_le_of_one_lt_norm, hasStrictFDerivAt_iff_isLittleOTVS, nontrivialTopology_iff_exists_nnnorm_ne_zero, MeasureTheory.lintegral_enorm_neg, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, lintegral_fderiv_lineMap_eq_edist, MeasureTheory.HasFiniteIntegral.restrict_of_bounded, edist_zero_eq_enorm, MeasureTheory.memLp_indicator_const, MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le, LipschitzWith.memLp_comp_iff_of_antilipschitz, MeasureTheory.hasFiniteIntegral_prod_iff', egauge_add_add_le, Asymptotics.isLittleOTVS_prodMk_left, dist_le_norm_add_norm, ContinuousLinearMap.ebound, dist_eq_norm_sub, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_top, HasFDerivAtFilter.isBigOTVS_sub, MeasureTheory.eLpNorm_le_of_ae_nnnorm_bound, MeasureTheory.eLpNorm_mono_real, ProbabilityTheory.evariance_lt_top_iff_memLp, ProbabilityTheory.IdentDistrib.eLpNorm_eq, comap_norm_nhdsGT_zero, egauge_univ, ball_zero_eq, MeasureTheory.eLpNorm_sub_le, MeasureTheory.SimpleFunc.memLp_zero, enorm_fderiv_norm_rpow_le, MeasureTheory.UniformIntegrable.memLp_of_tendstoInMeasure, MeasureTheory.memLp_two_iff_integrable_sq_norm, comap_norm_nhds_zero, egauge_zero_zero, MeasureTheory.integrable_norm_rpow_iff, SchwartzMap.eLpNorm_lt_top, MeasureTheory.UniformIntegrable.memLp_of_ae_tendsto, MeasureTheory.integral_norm_eq_lintegral_enorm, AddMonoidHomClass.continuous_of_bound, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, SchwartzMap.memLp, MeasureTheory.eLpNorm_norm, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, uniformContinuous_norm, HasFDerivAtFilter.isThetaTVS_sub, LinearMap.isBigOTVS_rev_comp, MeasureTheory.uniformIntegrable_iff, MeasureTheory.SimpleFunc.memLp_iff_integrable, MeasureTheory.eLpNorm'_mono_nnnorm_ae, egauge_univ_pi, MeasureTheory.nndist_integral_add_measure_le_lintegral, mem_closedBall_iff_norm', ProbabilityTheory.IsGaussian.memLp_two_id, MeasureTheory.memLp_const_iff, IndiscreteTopology.of_forall_nnnorm_eq_zero, MeasureTheory.L1.norm_def, tendsto_norm_sub_self, HasMFDerivWithinAt.prodMap, MeasureTheory.eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, MeasureTheory.tendstoInMeasure_iff_norm, MeasureTheory.eLpNorm_mono_ae, DiscreteTopology.of_forall_le_norm, MeasureTheory.eLpNorm_ofReal, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, Filter.HasBasis.isLittleOTVS_iff, LinearIsometry.enorm_map, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, stereographic_apply_neg, AddMonoidHomClass.lipschitz_of_bound, MeasureTheory.memLp_haarAddCircle_iff, HasFDerivAt.isBigOTVS_sub, indiscreteTopology_iff_forall_norm_eq_zero, nndist_smul_le, Module.Basis.prod_addHaar, Asymptotics.IsLittleOTVS.zero, mem_closedBall_iff_norm, Asymptotics.isLittleOTVS_fun_neg_left, MeasureTheory.MemLp.of_discrete, Asymptotics.isBigOTVS_iff_smallSets, indiscreteTopology_iff_forall_nnnorm_eq_zero, MonotoneOn.memLp_of_measure_ne_top, HasFPowerSeriesWithinOnBall.prod, MeasureTheory.eLpNorm'_congr_norm_ae, MeasureTheory.HasFiniteIntegral.of_finite, ball_eq, Asymptotics.isBigOTVS_fun_neg_left, dist_eq_norm', Asymptotics.isBigOTVS_fun_neg_right, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, HasCompactSupport.memLp_of_bound, NormedAddCommGroup.cauchySeq_iff, MeasureTheory.eLpNorm_one_le_of_le', egauge_le_one, disjoint_nhds_zero, Asymptotics.isBigOTVS_iff_isBigO, MeasureTheory.SimpleFunc.memLp_iff_finMeasSupp, HasFPowerSeriesOnBall.compContinuousLinearMap, MeasureTheory.eLpNorm_le_eLpNorm_top_mul_eLpNorm, MeasureTheory.enorm_indicatorConstLp_le, le_egauge_smul_left, MeasureTheory.memLp_two_iff_integrable_sq, MeasureTheory.enorm_integral_le_lintegral_enorm, PiLp.enorm_apply_le, uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_zero, Asymptotics.IsLittleO.isLittleOTVS, MeasureTheory.hasFiniteIntegral_iff_edist, DifferentiableAt.isBigOTVS_sub, AntitoneOn.memLp_top, MeasureTheory.eLpNorm'_neg, BoundedContinuousFunction.memLp_top, uniformCauchySeqOn_iff_tendstoUniformlyOn_zero, MeasureTheory.memLp_prod_iff, egauge_pi, Asymptotics.isBigOTVS_congr, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, MeasureTheory.Integrable.exists_boundedContinuous_lintegral_sub_le, Asymptotics.isBigOTVS_neg_right, Real.one_div_sub_hasFPowerSeriesOnBall_zero, MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimage, MeasureTheory.toReal_eLpNorm, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, MeasureTheory.eLpNorm_sub_comm, MeasureTheory.SimpleFunc.memLp_iff, MeasureTheory.UniformIntegrable.spec', HasMFDerivAt.prodMap, IsUltrametricDist.isUltrametricDist_of_forall_nnnorm_add_le_max_nnnorm, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.eLpNorm_star, AddMonoidHomClass.antilipschitz_of_bound, ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, MeasureTheory.HasFiniteIntegral.of_bounded, Filter.hasBasis_cobounded_norm, ProbabilityTheory.memLp_id_gaussianReal', MeasureTheory.memLp_congr_norm, Asymptotics.isLittleOTVS_fun_neg_right, Seminorm.uniformSpace_eq_of_hasBasis, mem_approx_add_orderOf_iff, mem_closure_zero_iff_norm, IsContDiffImplicitAt.implicitFunction_apply, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, MeasureTheory.eLpNorm_le_mul_eLpNorm_of_ae_le_mul, ProbabilityTheory.hasFiniteIntegral_compProd_iff', SchwartzMap.norm_toLp, MeasureTheory.hasFiniteIntegral_neg_iff, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, MeasureTheory.hasFiniteIntegral_const, dist_add_self_left, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', IsContDiffImplicitAt.implicitFunctionData_pt, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, SemilinearMapClass.ebound_of_continuous, MeasureTheory.eLpNorm'_mono_ae, InnerProductSpace.enorm_rankOne, MeasureTheory.eLpNormEssSup_le_nnreal_smul_eLpNormEssSup_of_ae_le_mul, MeasureTheory.hasFiniteIntegral_const_iff_isFiniteMeasure, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, Asymptotics.isLittleOTVS_iff_smallSets, MeasureTheory.eLpNormEssSup_mono_nnnorm_ae, MeasureTheory.eLpNormEssSup_le_of_ae_bound, Continuous.memLp_of_hasCompactSupport, HasCompactSupport.enorm_le_lintegral_Ici_deriv, Asymptotics.isLittleOTVS_iff_tendsto_div, Asymptotics.isBigOTVS_neg_left, MeasureTheory.Integrable.enorm_toL1, MeasureTheory.SimpleFunc.memLp_top, DifferentiableWithinAt.isBigOTVS_sub, lipschitzWith_iff_norm_sub_le, mem_ball_iff_norm, squeeze_zero_norm', NormedAddGroup.to_isIsometricVAdd_right, TensorProduct.enorm_tmul, mem_sphere_zero_iff_norm, MeasureTheory.eLpNorm_const_smul_le', MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.eLpNorm_sub_le', MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, MeasureTheory.IsAddFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.eLpNorm'_congr_nnnorm_ae, ProbabilityTheory.IsGaussian.memLp_dual, Asymptotics.isLittleOTVS_map, NormedAddCommGroup.tendsto_nhds_nhds, nndist_eq_nnnorm_sub, Asymptotics.isLittleOTVS_iff_isLittleO, MeasureTheory.hasFiniteIntegral_iff_ofReal, stereographic_neg_apply, ProbabilityTheory.evariance_def', IsContDiffImplicitAt.implicitFunctionData_rightFun_apply, MeasureTheory.eLpNorm_indicator_le_of_bound, MeasureTheory.eLpNorm_neg, comap_norm_atTop, isBounded_iff_forall_norm_le, le_egauge_smul_right, closure_zero_eq, MeasureTheory.Lp.simpleFunc.memLp, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, ProbabilityTheory.hasFiniteIntegral_comp_iff', MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, MeasureTheory.L2.eLpNorm_inner_lt_top, AntitoneOn.memLp_of_measure_ne_top, MeasureTheory.Lp.mem_Lp_iff_memLp, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.eLpNorm_indicator_sub_indicator, MeasureTheory.unifTight_iff_ennreal, ProbabilityTheory.hasFiniteIntegral_comp_iff, egauge_ball_one_le_of_one_lt_norm, Asymptotics.isBigOTVS_pi, MeasureTheory.eLpNorm_congr_nnnorm_ae, MeasureTheory.HasFiniteIntegral.of_mem_Icc, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, SchwartzMap.eLpNorm_le_seminorm, hasFDerivAtFilter_iff_isLittleOTVS, MeasureTheory.eLpNorm_const_smul_le, MeasureTheory.eLpNorm'_le_eLpNorm'_mul_eLpNorm', MeasureTheory.HasFiniteIntegral.of_isEmpty, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, egauge_le_of_smul_mem, SeminormedAddCommGroup.mem_closure_iff, MeasureTheory.memLp_pi_iff, NontrivialTopology.of_exists_norm_ne_zero, ContinuousLinearMap.opENorm_comp_le, Asymptotics.IsTheta.isThetaTVS, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, dist_zero_left, nontrivialTopology_iff_exists_norm_ne_zero, HasFPowerSeriesWithinAt.prod, MeasureTheory.memLp_piLp_iff, dist_sub_eq_dist_add_left, MeasureTheory.eLpNorm'_const_smul, Asymptotics.isLittleOTVS_neg_right, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, OrthonormalBasis.enorm_eq_one, dist_eq_norm_sub', UpperHalfPlane.isZeroAtImInfty_iff, MeasureTheory.tendstoInMeasure_iff_measureReal_enorm, StrongDual.norm_toLpₗ_le, Filter.HasBasis.cobounded_of_norm, MeasureTheory.eLpNorm_lt_top_of_finite, MeasureTheory.tendsto_eLpNorm_condExp, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, MeasureTheory.eLpNorm_mono_ae_real, HasFTaylorSeriesUpToOn.prodMk, ZLattice.volume_image_eq_volume_div_covolume, MeasureTheory.eLpNorm_congr_norm_ae, MeasureTheory.memLp_add_of_disjoint, Asymptotics.Filter.Tendsto.isBigOTVS_one, ProbabilityTheory.memLp_id_gaussianReal, MeasureTheory.memLp_norm_rpow_iff, Asymptotics.isLittleOTVS_fun_comm, Asymptotics.isLittleOTVS_comm, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, MeasureTheory.eLpNorm_const_smul, tendsto_zero_iff_norm_tendsto_zero, nndist_zero_right, MeasureTheory.eLpNorm_norm_rpow, Asymptotics.IsBigOTVS.rfl, mem_sphere_iff_norm, Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, mem_ball_iff_norm', Complex.conjCLE_enorm, Continuous.memLp_top_of_hasCompactSupport, Trivialization.continuousLinearEquivAt_prod, Asymptotics.isBigOTVS_fun_comm, NormedAddCommGroup.tendsto_nhds_zero, Real.enorm_exp_I_mul_ofReal_sub_one_le, NormedAddCommGroup.uniformity_basis_dist, lipschitzWith_one_nnnorm, NontrivialTopology.of_exists_nnnorm_ne_zero, MeasureTheory.MemLp.of_bound, LinearIsometry.enorm_toContinuousLinearMap, uniformContinuous_nnnorm, IndiscreteTopology.of_forall_norm_eq_zero, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, MeasureTheory.eLpNorm_one_le_of_le, MeasureTheory.SimpleFunc.eLpNorm'_eq, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, TensorProduct.enorm_assoc, MeasureTheory.hasFiniteIntegral_toReal_iff, MeasureTheory.eLpNorm_mono, tendsto_norm, MeasureTheory.SimpleFunc.memLp_of_isFiniteMeasure, MeasureTheory.UniformIntegrable.memLp, egauge_eq_zero_iff, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm, AddMonoidHomClass.isometry_iff_norm, HasStrictFDerivAt.isBigOTVS_sub, MeasureTheory.hasFiniteIntegral_const_iff, ProbabilityTheory.memLp_tilted_mul, dist_indicator, ContinuousLinearMap.isThetaTVS_comp, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.memLp_prodLp_iff, inseparable_zero_iff_norm, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, HasFPowerSeriesOnBall.prod, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, MeasureTheory.IsFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.eLpNormEssSup_indicator_eq_eLpNormEssSup_restrict, TensorProduct.enorm_map, Real.enorm_rpow_of_nonneg, Filter.neg_cobounded, zero_at_infty_of_norm_le, SchwartzMap.memLp_top, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.UnifTight.exists_measurableSet_indicator, HasFDerivAtFilter.isLittleOTVS, edist_zero_right, MeasureTheory.Lp.eLpNorm_lt_top, MeasureTheory.hasFiniteIntegral_prod_iff, squeeze_zero_norm, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.lintegral_enorm_eq_lintegral_edist, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, continuous_nnnorm, IsContDiffImplicitAt.implicitFunctionData_rightFun_pt, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, tendsto_norm_cobounded_atTop, FormalMultilinearSeries.radius_compContinuousLinearMap_le, MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnder, IsContDiffImplicitAt.implicitFunctionData_leftFun_apply, MeasureTheory.eLpNorm'_const_smul_le, UniformSpace.Completion.enorm_coe, MeasureTheory.UniformIntegrable.spec, Asymptotics.isThetaTVS_comm, ProbabilityTheory.HasSubgaussianMGF.memLp, MeasureTheory.eLpNormEssSup_lt_top_of_ae_bound, Asymptotics.isLittleO_one_iff, ProbabilityTheory.Kernel.eLpNorm_density_le, HasFDerivWithinAt.isBigOTVS_sub, tendsto_norm_atTop_iff_cobounded, div_le_egauge_ball, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, MeasureTheory.Lp.enorm_def, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', HasFPowerSeriesAt.prod, dist_sub_eq_dist_add_right, ProbabilityTheory.hasFiniteIntegral_compProd_iff, HasMFDerivAt.prodMk, nndist_indicator, Complex.imCLM_enorm, AddMonoidHom.exists_nhds_isBounded, RCLike.enorm_conj, tendsto_norm_nhdsNE_zero, AddMonoidHomClass.uniformContinuous_of_bound, MeasureTheory.eLpNorm_eq_zero_and_zero_of_ae_le_mul_neg, Complex.ofRealCLM_enorm, mem_emetric_ball_zero_iff, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.memLp_neg_iff, nndist_eq_nnnorm, MeasureTheory.tendstoInMeasure_iff_enorm, MeasureTheory.eLpNormEssSup_lt_top_of_ae_nnnorm_bound, le_egauge_ball_one, MonotoneOn.memLp_isCompact, ContinuousLinearMap.isBigOTVS_fun_comp, MeasureTheory.eLpNorm'_const_smul_le', NormedAddCommGroup.nhds_zero_basis_norm_lt, MeasureTheory.eLpNorm_const_lt_top_iff, div_le_egauge_closedBall, MonotoneOn.memLp_top, Asymptotics.isBigOTVS_map, ProbabilityTheory.IsGaussian.memLp_two_fun_id, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, Orthonormal.enorm_eq_one, MeasureTheory.L1.norm_sub_eq_lintegral, IsContDiffImplicitAt.implicitFunction_def, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, nndist_zero_left, MeasureTheory.L1.hasFiniteIntegral_coeFn, MeasureTheory.hasFiniteIntegral_congr', ContinuousLinearMap.le_opENorm, MeasureTheory.eLpNorm_condExpL2_le, mem_closedBall_zero_iff, MeasureTheory.eLpNorm_sub_le_of_dist_bdd, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, MeasureTheory.exists_eLpNorm_indicator_le, MeasureTheory.memLp_of_bounded, Bundle.Prod.contMDiffVectorBundle, MeasureTheory.hasFiniteIntegral_iff_norm, MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving, Asymptotics.isBigOTVS_prodMk_left, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm, egauge_smul_right, MeasureTheory.memLp_norm_iff, tendsto_norm_zero, MeasureTheory.eLpNorm_aeeqFun, mem_eball_zero_iff, dist_add_self_right, dist_zero_right, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, ProbabilityTheory.HasGaussianLaw.memLp, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, ContinuousMap.enorm_eq_iSup_enorm, Filter.tendsto_neg_cobounded, MeasureTheory.AEEqFun.eLpNorm_star, Complex.reCLM_enorm, MeasureTheory.hasFiniteIntegral_smul_iff, Asymptotics.isLittleOTVS_insert, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, BoundedContinuousFunction.enorm_eq_iSup_enorm, MeasureTheory.eLpNorm'_norm_rpow, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, disjoint_nhds, dist_eq, tendstoUniformlyOn_zero, continuous_norm, Asymptotics.IsBigOTVS.refl, dist_zero, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, ContinuousLinearMap.isBigOTVS_id, NumberField.Units.basisOfIsMaxRank_fundSystem, lipschitzWith_smul, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div_of_integrable, edist_smul_le, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrable, Asymptotics.IsBigO.isBigOTVS, Asymptotics.isLittleOTVS_neg_left, tendsto_norm_sub_self_nhdsGE, WithLp.enorm_fst_le, Asymptotics.isLittleOTVS_sup, MeasureTheory.memLp_trim_of_mem_lpMeasSubgroup, edist_indicator, egauge_zero_right, Asymptotics.isThetaTVS_iff_isTheta, MeasureTheory.eLpNorm_mono_nnnorm, MeasureTheory.eLpNorm_conj, MeasureTheory.eLpNormEssSup_le_of_ae_nnnorm_bound, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, le_egauge_closedBall_one, ProbabilityTheory.HasGaussianLaw.memLp_two, Asymptotics.isBigOTVS_comm, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, VectorBundle.prod, MeasureTheory.memLp_re_im_iff, MeasureTheory.eLpNorm_le_nnreal_smul_eLpNorm_of_ae_le_mul, Asymptotics.isLittleOTVS_pi, mem_ball_zero_iff, antilipschitzWith_iff_exists_mul_le_norm, IsUltrametricDist.isUltrametricDist_of_isNonarchimedean_nnnorm, Asymptotics.IsThetaTVS.rfl, lipschitzOnWith_iff_norm_sub_le, ContinuousLinearMap.le_opNorm_enorm, MeasureTheory.eLpNorm_le_of_ae_bound, NormedAddCommGroup.nhds_basis_norm_lt, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, egauge_le_of_smul_mem_of_ne, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, egauge_pi', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', tendsto_norm_cocompact_atTop, IsContDiffImplicitAt.implicitFunctionData_leftFun_pt, MeasureTheory.hasFiniteIntegral_count_iff, MeasureTheory.eLpNormEssSup_const_smul_le', IsUltrametricDist.isUltrametricDist_of_isNonarchimedean_norm, MeasureTheory.memLp_top_const, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, MeasureTheory.pdf.hasFiniteIntegral_mul, Asymptotics.IsThetaTVS.refl, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, TensorProduct.edist_tmul_le, tendsto_iff_norm_sub_tendsto_zero, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, MeasureTheory.Lp.norm_def, MeasureTheory.eLpNorm_nsmul, MeasureTheory.memLp_const, lipschitzWith_one_norm, egauge_smul_left, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist toPseudoMetricSpace Norm.norm toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid toAddGroup	—	—

SeminormedCommGroup

Definitions

Name	Category	Theorems
ofMulDist 📖	CompOp	—
ofMulDist' 📖	CompOp	—
toCommGroup 📖	CompOp	71 math math: norm_prod_le_of_le, infEdist_inv, IsUltrametricDist.nnnorm_tprod_le_of_forall_le, IsCompact.mul_closedBall_one, ball_div_one, AntilipschitzWith.inv, IsUltrametricDist.exists_norm_multiset_prod_le, ball_mul_one, IsUltrametricDist.norm_tprod_le, singleton_mul_closedBall_one, LocallyLipschitz.inv, IsUltrametricDist.norm_tprod_le_of_forall_le_of_nonneg, smul_closedBall_one, IsCompact.div_closedBall, QuotientGroup.nhds_one_hasBasis, singleton_div_closedBall_one, IsUltrametricDist.exists_norm_finset_prod_le, IsUltrametricDist.exists_norm_finset_prod_le_of_nonempty, div_ball, LipschitzWith.inv, norm_multiset_prod_le, IsCompact.closedBall_one_mul, ball_div, singleton_div_ball_one, closedBall_one_div_singleton, controlled_prod_of_mem_closure_range, nnnorm_prod_le_of_le, infEdist_inv_inv, ball_one_div_singleton, ball_one_mul_singleton, lipschitzWith_inv_iff, IsUltrametricDist.norm_prod_le_of_forall_le_of_nonempty, IsUltrametricDist.nnnorm_prod_eq_sup_of_pairwise_ne, IsCompact.closedBall_one_div, dist_prod_prod_le_of_le, QuotientGroup.exists_norm_mul_lt, lipschitzOnWith_inv_iff, div_ball_one, norm_prod_le, Finset.Nonempty.norm_prod_le_sup'_norm, mul_ball_one, singleton_mul_ball_one, nnnorm_multiset_prod_le, IsUltrametricDist.norm_tprod_le_of_forall_le, SeparationQuotient.mk_eq_one_iff, IsUltrametricDist.nnnorm_tprod_le, IsUltrametricDist.norm_prod_eq_sup'_of_pairwise_ne, QuotientGroup.norm_eq_infDist, dist_eq, dist_prod_prod_le, inv_closedBall, inv_cthickening, Finset.nnnorm_prod_le_sup_nnnorm, antilipschitzWith_inv_iff, LocallyLipschitzOn.inv, nnnorm_prod_le, QuotientGroup.norm_eq_groupSeminorm, IsCompact.div_closedBall_one, inv_ball, smul_ball_one, locallyLipschitz_inv_iff, inv_thickening, infEDist_inv_inv, IsUltrametricDist.norm_prod_le_of_forall_le_of_nonneg, closedBall_one_mul_singleton, dist_inv, IsUltrametricDist.nnnorm_prod_le_of_forall_le, locallyLipschitzOn_inv_iff, infEDist_inv, LipschitzOnWith.inv, controlled_prod_of_mem_closure
toNorm 📖	CompOp	31 math math: nnnorm_norm', enorm_norm', IsUltrametricDist.exists_norm_multiset_prod_le, IsUltrametricDist.norm_tprod_le, IsUltrametricDist.exists_norm_finset_prod_le, IsUltrametricDist.exists_norm_finset_prod_le_of_nonempty, norm_multiset_prod_le, dist_self_div_right, controlled_prod_of_mem_closure_range, AntilipschitzWith.le_mul_norm_div, dist_self_mul_left, dist_self_mul_right, QuotientGroup.exists_norm_mk_lt, SeparationQuotient.norm_mk', QuotientGroup.exists_norm_mul_lt, norm_prod_le, Finset.Nonempty.norm_prod_le_sup'_norm, mem_nullSubgroup_iff, SeparationQuotient.mk_eq_one_iff, QuotientGroup.le_norm_iff, dist_eq, mul_mem_closedBall_iff_norm, dist_self_div_left, QuotientGroup.norm_lt_iff, norm_zpow_le_mul_norm, norm_mul_sub_norm_div_le_two_mul_min, mul_mem_ball_iff_norm, norm_norm', QuotientGroup.norm_mk_le_norm, GroupSeminormClass.toSeminormedCommGroup_norm_eq, controlled_prod_of_mem_closure
toPseudoMetricSpace 📖	CompOp	81 math math: infEdist_inv, mul_ball, QuotientGroup.norm_mk, singleton_div_closedBall, IsUltrametricDist.nnnorm_tprod_le_of_forall_le, ball_mul_singleton, ball_div_one, SeparationQuotient.nnnorm_mk', upperClosure_interior_subset', QuotientGroup.norm_mk_eq_zero_iff_mem_closure, ball_mul_one, IsUltrametricDist.norm_tprod_le, singleton_mul_closedBall_one, lowerClosure_interior_subset', dist_div_div_le, IsUltrametricDist.norm_tprod_le_of_forall_le_of_nonneg, smul_ball'', smul_closedBall_one, ball_mul, QuotientGroup.nhds_one_hasBasis, abs_dist_sub_le_dist_mul_mul, singleton_div_closedBall_one, edist_mul_mul_le, div_ball, isClosed_nullSubgroup, ball_div, mul_mem_ball_mul_iff, singleton_div_ball_one, dist_self_div_right, closedBall_div_singleton, closedBall_one_div_singleton, nndist_mul_mul_le, infEdist_inv_inv, dist_self_mul_left, dist_self_mul_right, ball_one_div_singleton, singleton_div_ball, ball_one_mul_singleton, lipschitzWith_inv_iff, smul_closedBall'', singleton_mul_closedBall, ball_div_singleton, SeparationQuotient.norm_mk', mul_mem_closedBall_mul_iff, dist_mul_mul_le, lipschitzOnWith_inv_iff, div_ball_one, preimage_mul_sphere, mul_ball_one, singleton_mul_ball_one, IsUltrametricDist.norm_tprod_le_of_forall_le, to_lipschitzMul, SeparationQuotient.mk_eq_one_iff, IsUltrametricDist.nnnorm_tprod_le, closedBall_mul_singleton, QuotientGroup.norm_eq_infDist, dist_eq, dist_prod_prod_le, to_isUniformGroup, IsUltrametricDist.nonarchimedeanGroup, ediam_mul_le, mul_mem_closedBall_iff_norm, NormedGroup.to_isIsometricSMul_left, inv_closedBall, dist_self_div_left, inv_cthickening, antilipschitzWith_inv_iff, preimage_mul_ball, inv_ball, smul_ball_one, locallyLipschitz_inv_iff, inv_thickening, toIsTopologicalGroup, infEDist_inv_inv, closedBall_one_mul_singleton, mul_mem_ball_iff_norm, dist_inv, locallyLipschitzOn_inv_iff, infEDist_inv, preimage_mul_closedBall, singleton_mul_ball
toSeminormedGroup 📖	CompOp	97 math math: mul_ball, QuotientGroup.norm_mk, singleton_div_closedBall, QuotientGroup.norm_mk_eq_zero, nnnorm_norm', ball_mul_singleton, IsCompact.closedBall_mul, IsCompact.mul_closedBall_one, LocallyLipschitz.mul, enorm_norm', ball_div_one, SeparationQuotient.nnnorm_mk', QuotientGroup.norm_mk_eq_zero_iff_mem_closure, ball_mul_one, LocallyLipschitz.div, singleton_mul_closedBall_one, pow_mem_closedBall, dist_div_div_le, smul_ball'', smul_closedBall_one, ball_mul, IsCompact.div_closedBall, approxOrderOf.image_pow_subset_of_coprime, nnnorm_zpow_le_mul_norm, QuotientGroup.nhds_one_hasBasis, abs_dist_sub_le_dist_mul_mul, singleton_div_closedBall_one, edist_mul_mul_le, dist_div_div_le_of_le, div_ball, isClosed_nullSubgroup, IsCompact.mul_closedBall, dist_mul_mul_le_of_le, IsCompact.closedBall_one_mul, IsCompact.closedBall_div, ball_div, mul_mem_ball_mul_iff, singleton_div_ball_one, dist_self_div_right, closedBall_div_singleton, closedBall_one_div_singleton, AntilipschitzWith.mul_lipschitzWith, AntilipschitzWith.le_mul_norm_div, nndist_mul_mul_le, dist_self_mul_left, dist_self_mul_right, ball_one_div_singleton, singleton_div_ball, ball_one_mul_singleton, smul_closedBall'', singleton_mul_closedBall, ball_div_singleton, QuotientGroup.exists_norm_mk_lt, mul_mem_closedBall_mul_iff, IsCompact.closedBall_one_div, dist_mul_mul_le, LipschitzWith.mul, QuotientGroup.exists_norm_mul_lt, LocallyLipschitzOn.div, div_ball_one, preimage_mul_sphere, mul_ball_one, singleton_mul_ball_one, nnnorm_multiset_prod_le, mem_nullSubgroup_iff, to_lipschitzMul, IsUltrametricDist.nnnorm_tprod_le, closedBall_mul_singleton, QuotientGroup.norm_eq_infDist, QuotientGroup.le_norm_iff, to_isUniformGroup, IsUltrametricDist.nonarchimedeanGroup, ediam_mul_le, mul_mem_closedBall_iff_norm, NormedGroup.to_isIsometricSMul_left, dist_self_div_left, pow_mem_ball, Finset.nnnorm_prod_le_sup_nnnorm, nnnorm_prod_le, QuotientGroup.norm_eq_groupSeminorm, IsCompact.div_closedBall_one, approxOrderOf.image_pow_subset, preimage_mul_ball, QuotientGroup.norm_lt_iff, smul_ball_one, norm_zpow_le_mul_norm, norm_mul_sub_norm_div_le_two_mul_min, toIsTopologicalGroup, closedBall_one_mul_singleton, LipschitzOnWith.div, mul_mem_ball_iff_norm, LipschitzWith.div, LipschitzOnWith.mul, LocallyLipschitzOn.mul, QuotientGroup.norm_mk_le_norm, preimage_mul_closedBall, singleton_mul_ball

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist toPseudoMetricSpace Norm.norm toNorm DivInvMonoid.toDiv Group.toDivInvMonoid CommGroup.toGroup toCommGroup	—	—

SeminormedGroup

Definitions

Name	Category	Theorems
ofMulDist 📖	CompOp	—
ofMulDist' 📖	CompOp	—
toGroup 📖	CompOp	219 math math: NormedCommGroup.tendsto_nhds_nhds, NormedGroup.to_isIsometricSMul_right, mul_ball, QuotientGroup.norm_mk, norm_pow_natAbs, nnnorm_le_nnnorm_add_nnnorm_div', nnnorm_zpow_isUnit, singleton_div_closedBall, mem_sphere_iff_norm', inseparable_one_iff_norm, NormedCommGroup.cauchySeq_iff, uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_one, disjoint_nhds, QuotientGroup.norm_mk_eq_zero, NormedCommGroup.nhds_one_basis_norm_lt, dist_div_eq_dist_mul_left, ball_mul_singleton, closure_one_eq, nnnorm_mul_eq_nnnorm_right, IsCompact.closedBall_mul, dist_mul_self_left, IsCompact.mul_closedBall_one, LocallyLipschitz.mul, mem_ball_iff_norm'', mem_ball_one_iff, nnnorm_le_mul_nnnorm_add, ball_div_one, tendsto_norm_div_self, mem_closedBall_iff_norm'', IsUltrametricDist.nnnorm_pow_le, norm_div_eq_norm_left, norm_div_le, nndist_eq_nnnorm_div, norm_zpow_isUnit, norm_pow_le_mul_norm, squeeze_one_norm, QuotientGroup.norm_mk_eq_zero_iff_mem_closure, ball_mul_one, LocallyLipschitz.div, LipschitzWith.norm_div_le, singleton_mul_closedBall_one, pow_mem_closedBall, nnnorm_div_eq_nnnorm_left, dist_eq_norm_div', norm_one', dist_div_div_le, mem_closure_one_iff_norm, mem_approxOrderOf_iff, smul_ball'', smul_closedBall_one, nnnorm_le_mul_nnnorm_add', ball_mul, IsCompact.div_closedBall, tendsto_norm_div_self_nhdsGE, approxOrderOf.image_pow_subset_of_coprime, nnnorm_zpow_le_mul_norm, QuotientGroup.nhds_one_hasBasis, abs_dist_sub_le_dist_mul_mul, singleton_div_closedBall_one, NormedCommGroup.uniformity_basis_dist, ball_one_eq, norm_le_norm_add_norm_div', Filter.tendsto_inv_cobounded, edist_mul_mul_le, norm_sub_norm_le', Subgroup.coe_norm, lipschitzOnWith_iff_norm_div_le, dist_div_div_le_of_le, div_ball, isClosed_nullSubgroup, nnnorm_inv', norm_mul_eq_norm_right, IsUltrametricDist.norm_mul_eq_max_of_norm_ne_norm, nnnorm_mul_le', IsCompact.mul_closedBall, IsUltrametricDist.nnnorm_mul_le_max, norm_zpow_abs, nndist_one_left, Bornology.IsBounded.inv, dist_mul_mul_le_of_le, uniformCauchySeqOn_iff_tendstoUniformlyOn_one, IsCompact.closedBall_one_mul, norm_sub_le_norm_mul, IsCompact.closedBall_div, ball_div, mem_emetric_ball_one_iff, enorm_inv', norm_mul_eq_norm_left, edist_one_right, lipschitzWith_iff_norm_div_le, mul_mem_ball_mul_iff, singleton_div_ball_one, norm_mul_le_of_le', dist_self_div_right, closedBall_div_singleton, dist_eq, closedBall_one_div_singleton, mem_closedBall_iff_norm''', Bornology.IsBounded.div, norm_div_sub_norm_div_le_norm_div, dist_mulIndicator, AntilipschitzWith.mul_lipschitzWith, AntilipschitzWith.le_mul_norm_div, nndist_mul_mul_le, norm_inv', dist_self_mul_left, edist_one_eq_enorm, nnnorm_zpow_abs, dist_self_mul_right, ball_eq', edist_eq_enorm_div, dist_one, norm_mul₄_le', ball_one_div_singleton, mem_sphere_one_iff_norm, singleton_div_ball, ball_one_mul_singleton, nnnorm_pow_le_mul_norm, mem_eball_one_iff, nndist_mulIndicator, smul_closedBall'', nnnorm_pow_natAbs, LipschitzOnWith.norm_div_le, IsUltrametricDist.norm_pow_le, tendsto_norm_one, norm_le_mul_norm_add', tendsto_iff_norm_div_tendsto_zero, singleton_mul_closedBall, norm_div_le_of_le, ball_div_singleton, dist_one_left, comap_norm_nhds_one, QuotientGroup.exists_norm_mk_lt, nnnorm_le_nnnorm_add_nnnorm_div, mul_mem_closedBall_mul_iff, nndist_nnnorm_nnnorm_le', mem_closedBall_one_iff, enorm_div_rev, IsCompact.closedBall_one_div, norm_div_le_norm_div_add_norm_div, dist_eq_norm_div, dist_mul_mul_le, LipschitzWith.mul, enorm_div_le, QuotientGroup.exists_norm_mul_lt, mem_ball_iff_norm''', IsUltrametricDist.norm_div_eq_max_of_norm_div_ne_norm_div, dist_div_eq_dist_mul_right, LocallyLipschitzOn.div, nnnorm_one', div_ball_one, norm_le_norm_add_norm_div, preimage_mul_sphere, disjoint_nhds_one, norm_le_mul_norm_add, mul_ball_one, NormedCommGroup.nhds_basis_norm_lt, singleton_mul_ball_one, IsUltrametricDist.norm_mul_le_max, mem_nullSubgroup_iff, SeminormedCommGroup.to_lipschitzMul, dist_norm_norm_le', tendsto_one_iff_norm_tendsto_zero, IsUltrametricDist.nnnorm_div_eq_max_of_nnnorm_div_ne_nnnorm_div, closedBall_mul_singleton, QuotientGroup.norm_eq_infDist, QuotientGroup.le_norm_iff, abs_norm_sub_norm_le', squeeze_one_norm', Bornology.IsBounded.mul, nnnorm_mul_eq_nnnorm_left, SeminormedCommGroup.to_isUniformGroup, IsUltrametricDist.nnnorm_zpow_le, IsUltrametricDist.nonarchimedeanGroup, ediam_mul_le, mul_mem_closedBall_iff_norm, NormedGroup.to_isIsometricSMul_left, dist_self_div_left, pow_mem_ball, IsUltrametricDist.nnnorm_mul_eq_max_of_nnnorm_ne_nnnorm, coe_normGroupSeminorm, QuotientGroup.norm_eq_groupSeminorm, IsCompact.div_closedBall_one, approxOrderOf.image_pow_subset, preimage_mul_ball, QuotientGroup.norm_lt_iff, smul_ball_one, norm_div_eq_norm_right, norm_zpow_le_mul_norm, nnnorm_div_eq_nnnorm_right, NormedCommGroup.tendsto_nhds_one, edist_one_left, norm_mul_sub_norm_div_le_two_mul_min, norm_le_norm_div_add, SeminormedCommGroup.toIsTopologicalGroup, closedBall_one_mul_singleton, norm_mul_sub_norm_div_le_two_mul, Subgroup.norm_coe, norm_div_rev, LipschitzOnWith.div, mul_mem_ball_iff_norm, norm_mul_le', LipschitzWith.div, LipschitzOnWith.mul, dist_one_right, LocallyLipschitzOn.mul, norm_mul₃_le', QuotientGroup.norm_mk_le_norm, preimage_mul_closedBall, norm_eq_of_mem_sphere', SeminormedCommGroup.mem_closure_iff, nnnorm_div_le, dist_mul_self_right, singleton_mul_ball, nndist_one_right, IsUltrametricDist.norm_zpow_le, edist_mulIndicator, Filter.inv_cobounded, tendstoUniformlyOn_one
toNorm 📖	CompOp	134 math math: norm_lt_of_mem_ball', NormedCommGroup.tendsto_nhds_nhds, norm_of_subsingleton', norm_pow_natAbs, Filter.hasBasis_cobounded_norm', enorm'_eq_iff_norm_eq, mem_sphere_iff_norm', inseparable_one_iff_norm, NormedCommGroup.cauchySeq_iff, disjoint_nhds, isBounded_iff_forall_norm_le', NormedCommGroup.nhds_one_basis_norm_lt, closure_one_eq, Pi.norm_def', dist_mul_self_left, IsCompact.exists_bound_of_continuousOn', mem_ball_iff_norm'', mem_ball_one_iff, norm_nonneg', comap_norm_atTop', tendsto_norm_div_self, mem_closedBall_iff_norm'', norm_div_le, norm_zpow_isUnit, norm_pow_le_mul_norm, Pi.sum_norm_apply_le_norm', coe_nnnorm', ofReal_norm', LipschitzWith.norm_div_le, dist_eq_norm_div', norm_one', norm_map', AntilipschitzWith.le_mul_norm', antilipschitzWith_iff_exists_mul_le_norm', mem_closure_one_iff_norm, toReal_enorm', tendsto_norm_div_self_nhdsGE, ofReal_norm_eq_enorm', ContinuousOn.norm', NormedCommGroup.uniformity_basis_dist, Continuous.norm', ball_one_eq, norm_le_norm_add_norm_div', norm_sub_norm_le', enorm'_le_iff_norm_le, Subgroup.coe_norm, lipschitzWith_one_norm', lipschitzOnWith_iff_norm_div_le, Bornology.IsBounded.exists_pos_norm_lt', IsUltrametricDist.norm_mul_eq_max_of_norm_ne_norm, indiscreteTopology_iff_forall_norm_eq_zero', Filter.HasBasis.cobounded_of_norm', norm_zpow_abs, Filter.Tendsto.norm', norm_sub_le_norm_mul, Bornology.IsBounded.exists_norm_le', lipschitzWith_iff_norm_div_le, abs_norm', Inseparable.norm_eq_norm', OneHomClass.bound_of_antilipschitz, coe_comp_nnnorm', dist_eq, mem_closedBall_iff_norm''', ContinuousAt.norm', norm_div_sub_norm_div_le_norm_div, norm_toNNReal', dist_mulIndicator, MonoidHomClass.isometry_iff_norm, norm_inv', eventually_cobounded_le_norm', ball_eq', dist_one, norm_mul₄_le', pi_norm_const_le', mem_sphere_one_iff_norm, IndiscreteTopology.norm_eq_zero', HasCompactMulSupport.exists_bound_of_continuous, continuous_norm', pi_norm_le_iff_of_nonneg', LipschitzOnWith.norm_div_le, IsUltrametricDist.norm_pow_le, tendsto_norm_one, norm_le_mul_norm_add', tendsto_iff_norm_div_tendsto_zero, norm_le_pi_norm', dist_one_left, tendsto_norm_comp_cofinite_atTop_of_isClosedEmbedding', comap_norm_nhds_one, tendsto_norm', mem_closedBall_one_iff, uniformContinuous_norm', norm_div_le_norm_div_add_norm_div, dist_eq_norm_div, mem_ball_iff_norm''', IsUltrametricDist.norm_div_eq_max_of_norm_div_ne_norm_div, tendsto_norm_atTop_iff_cobounded', tendsto_norm_cocompact_atTop', norm_le_norm_add_norm_div, disjoint_nhds_one, norm_le_mul_norm_add, NormedCommGroup.nhds_basis_norm_lt, IsUltrametricDist.norm_mul_le_max, tendsto_norm_cobounded_atTop', dist_norm_norm_le', LipschitzWith.norm_le_mul', tendsto_one_iff_norm_tendsto_zero, GroupSeminormClass.toSeminormedGroup_norm_eq, dist_le_norm_add_norm', abs_norm_sub_norm_le', Isometry.norm_map_of_map_one, pi_norm_const', norm_le_norm_add_const_of_dist_le', pi_norm_lt_iff', coe_normGroupSeminorm, NormedCommGroup.tendsto_nhds_one, zero_lt_one_add_norm_sq', norm_le_norm_div_add, norm_mul_sub_norm_div_le_two_mul, ContinuousWithinAt.norm', Bornology.IsBounded.exists_pos_norm_le', Subgroup.norm_coe, norm_le_of_mem_closedBall', norm_div_rev, toReal_coe_nnnorm', norm_mul_le', dist_one_right, CauchySeq.mul_norm_bddAbove, norm_mul₃_le', norm_eq_of_mem_sphere', SeminormedCommGroup.mem_closure_iff, dist_mul_self_right, IsUltrametricDist.norm_zpow_le, pi_norm_le_iff_of_nonempty', SubgroupClass.coe_norm
toPseudoMetricSpace 📖	CompOp	101 math math: MonoidHom.exists_nhds_isBounded, NormedCommGroup.tendsto_nhds_nhds, NormedGroup.to_isIsometricSMul_right, Filter.hasBasis_cobounded_norm', mem_sphere_iff_norm', inseparable_one_iff_norm, NormedCommGroup.cauchySeq_iff, uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_one, disjoint_nhds, isBounded_iff_forall_norm_le', NormedCommGroup.nhds_one_basis_norm_lt, NontrivialTopology.of_exists_norm_ne_zero', dist_div_eq_dist_mul_left, closure_one_eq, dist_mul_self_left, tendsto_norm_nhdsNE_one, mem_ball_iff_norm'', mem_ball_one_iff, comap_norm_atTop', tendsto_norm_div_self, mem_closedBall_iff_norm'', nndist_eq_nnnorm_div, squeeze_one_norm, MonoidHomClass.continuous_of_bound, dist_eq_norm_div', antilipschitzWith_iff_exists_mul_le_norm', mem_closure_one_iff_norm, mem_approxOrderOf_iff, tendsto_norm_div_self_nhdsNE, tendsto_norm_div_self_nhdsGE, NormedCommGroup.uniformity_basis_dist, indiscreteTopology_iff_forall_nnnorm_eq_zero', ball_one_eq, Filter.tendsto_inv_cobounded, lipschitzWith_one_norm', lipschitzOnWith_iff_norm_div_le, comap_norm_nhdsGT_zero', indiscreteTopology_iff_forall_norm_eq_zero', Filter.HasBasis.cobounded_of_norm', nndist_one_left, uniformCauchySeqOn_iff_tendstoUniformlyOn_one, mem_emetric_ball_one_iff, edist_one_right, lipschitzWith_iff_norm_div_le, MonoidHomClass.lipschitz_of_bound_nnnorm, nontrivialTopology_iff_exists_nnnorm_ne_zero', dist_eq, mem_closedBall_iff_norm''', dist_mulIndicator, MonoidHomClass.isometry_iff_norm, eventually_cobounded_le_norm', edist_one_eq_enorm, ball_eq', edist_eq_enorm_div, dist_one, mem_sphere_one_iff_norm, IndiscreteTopology.of_forall_nnnorm_eq_zero', mem_eball_one_iff, nndist_mulIndicator, continuous_norm', MonoidHomClass.antilipschitz_of_bound, tendsto_norm_one, tendsto_iff_norm_div_tendsto_zero, dist_one_left, comap_norm_nhds_one, tendsto_norm', IndiscreteTopology.of_forall_norm_eq_zero', mem_closedBall_one_iff, uniformContinuous_norm', dist_eq_norm_div, mem_ball_iff_norm''', dist_div_eq_dist_mul_right, tendsto_norm_atTop_iff_cobounded', tendsto_norm_cocompact_atTop', uniformContinuous_nnnorm', disjoint_nhds_one, nontrivialTopology_iff_exists_norm_ne_zero', NormedCommGroup.nhds_basis_norm_lt, tendsto_norm_cobounded_atTop', tendsto_one_iff_norm_tendsto_zero, dist_le_norm_add_norm', MonoidHomClass.isometry_of_norm, MonoidHomClass.uniformContinuous_of_bound, squeeze_one_norm', NontrivialTopology.of_exists_nnnorm_ne_zero', continuous_nnnorm', IsUltrametricDist.isUltrametricDist_of_forall_norm_mul_le_max_norm, lipschitzWith_one_nnnorm', MonoidHomClass.lipschitz_of_bound, NormedCommGroup.tendsto_nhds_one, edist_one_left, IsUltrametricDist.isUltrametricDist_of_forall_nnnorm_mul_le_max_nnnorm, dist_one_right, norm_eq_of_mem_sphere', SeminormedCommGroup.mem_closure_iff, dist_mul_self_right, DiscreteTopology.of_forall_le_norm', nndist_one_right, edist_mulIndicator, Filter.inv_cobounded, tendstoUniformlyOn_one

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist toPseudoMetricSpace Norm.norm toNorm DivInvMonoid.toDiv Group.toDivInvMonoid toGroup	—	—

(root)

Definitions

Name	Category	Theorems
ContinuousENorm 📖	CompData	—
ENorm 📖	CompData	—
ENormedAddCommMonoid 📖	CompData	—
ENormedAddMonoid 📖	CompData	—
ENormedCommMonoid 📖	CompData	—
ENormedMonoid 📖	CompData	—
ESeminormedAddCommMonoid 📖	CompData	—
ESeminormedAddMonoid 📖	CompData	—
ESeminormedCommMonoid 📖	CompData	—
ESeminormedMonoid 📖	CompData	—
NormedAddCommGroup 📖	CompData	1 math math: Manifold.IsImmersionAt_def
NormedAddGroup 📖	CompData	—
NormedCommGroup 📖	CompData	—
NormedGroup 📖	CompData	—
SeminormedAddCommGroup 📖	CompData	3 math math: PiTensorProduct.dualSeminorms_bounded, PiTensorProduct.injectiveSeminorm_apply, PiTensorProduct.injectiveSeminorm_def
SeminormedAddGroup 📖	CompData	—
SeminormedCommGroup 📖	CompData	—
SeminormedGroup 📖	CompData	—
«term‖_‖» 📖	CompOp	—
«term‖_‖₊» 📖	CompOp	—
«term‖_‖ₑ» 📖	CompOp	—

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
coe_le_enorm 📖	mathematical	—	ENNReal Preorder.toLE PartialOrder.toPreorder ENNReal.instPartialOrder ENNReal.ofNNReal ENorm.enorm NNNorm.toENorm NNReal instPartialOrderNNReal NNNorm.nnnorm	—	—
coe_lt_enorm 📖	mathematical	—	ENNReal Preorder.toLT PartialOrder.toPreorder ENNReal.instPartialOrder ENNReal.ofNNReal ENorm.enorm NNNorm.toENorm NNReal instPartialOrderNNReal NNNorm.nnnorm	—	—
enorm_eq_nnnorm 📖	mathematical	—	ENorm.enorm NNNorm.toENorm ENNReal.ofNNReal NNNorm.nnnorm	—	—
enorm_le_coe 📖	mathematical	—	ENNReal Preorder.toLE PartialOrder.toPreorder ENNReal.instPartialOrder ENorm.enorm NNNorm.toENorm ENNReal.ofNNReal NNReal instPartialOrderNNReal NNNorm.nnnorm	—	—
enorm_lt_coe 📖	mathematical	—	ENNReal Preorder.toLT PartialOrder.toPreorder ENNReal.instPartialOrder ENorm.enorm NNNorm.toENorm ENNReal.ofNNReal NNReal instPartialOrderNNReal NNNorm.nnnorm	—	—
enorm_lt_top 📖	mathematical	—	ENNReal Preorder.toLT PartialOrder.toPreorder ENNReal.instPartialOrder ENorm.enorm NNNorm.toENorm Top.top instTopENNReal	—	—
enorm_ne_top 📖	—	—	—	—	—
toNNReal_enorm 📖	mathematical	—	ENNReal.toNNReal ENorm.enorm NNNorm.toENorm NNNorm.nnnorm	—	—

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