Continuity

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

Statistics

Metric	Count
Definitions toENormedAddCommMonoid, toENormedAddMonoid, toENormedCommMonoid, toENormedMonoid, toContinuousENorm, toContinuousENorm	6
Theorems enorm, nnnorm, nnnorm', norm, norm', enorm, nnnorm, nnnorm', norm, norm', enorm, nnnorm, nnnorm', norm, norm', enorm, nnnorm, nnnorm', norm, norm', enorm, enorm', nnnorm, nnnorm', norm, norm', enorm_eq_enorm, enorm_eq_enorm', nnnorm_eq_nnnorm, nnnorm_eq_nnnorm', norm_eq_norm, norm_eq_norm', mem_closure_iff, tendstoUniformlyOn_zero, uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_zero, uniformCauchySeqOn_iff_tendstoUniformlyOn_zero, mem_closure_iff, tendstoUniformlyOn_one, uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_one, uniformCauchySeqOn_iff_tendstoUniformlyOn_one, closure_one_eq, closure_zero_eq, comap_norm_nhdsGT_zero, comap_norm_nhdsGT_zero', comap_norm_nhds_one, comap_norm_nhds_zero, continuous_enorm, continuous_nnnorm, continuous_nnnorm', continuous_norm, continuous_norm', controlled_prod_of_mem_closure, controlled_prod_of_mem_closure_range, controlled_sum_of_mem_closure, controlled_sum_of_mem_closure_range, eventually_ne_of_tendsto_norm_atTop, eventually_ne_of_tendsto_norm_atTop', mem_closure_one_iff_norm, mem_closure_zero_iff_norm, squeeze_one_norm, squeeze_one_norm', squeeze_zero_norm, squeeze_zero_norm', tendsto_iff_norm_div_tendsto_zero, tendsto_iff_norm_sub_tendsto_zero, tendsto_norm, tendsto_norm', tendsto_norm_div_self, tendsto_norm_div_self_nhdsGE, tendsto_norm_div_self_nhdsNE, tendsto_norm_nhdsNE_one, tendsto_norm_nhdsNE_zero, tendsto_norm_one, tendsto_norm_sub_self, tendsto_norm_sub_self_nhdsGE, tendsto_norm_sub_self_nhdsNE, tendsto_norm_zero, tendsto_one_iff_norm_tendsto_zero, tendsto_zero_iff_norm_tendsto_zero	79
Total	85

Continuous

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm 📖	mathematical	Continuous	ENNReal ENNReal.instTopologicalSpace ENorm.enorm ContinuousENorm.toENorm	—	comp continuous_enorm
nnnorm 📖	mathematical	Continuous UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedAddGroup.toNNNorm	—	comp continuous_nnnorm
nnnorm' 📖	mathematical	Continuous UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedGroup.toNNNorm	—	comp continuous_nnnorm'
norm 📖	mathematical	Continuous UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedAddGroup.toNorm	—	comp continuous_norm
norm' 📖	mathematical	Continuous UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedGroup.toNorm	—	comp continuous_norm'

ContinuousAt

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm 📖	mathematical	ContinuousAt	ENNReal ENNReal.instTopologicalSpace ENorm.enorm ContinuousENorm.toENorm	—	comp' Continuous.continuousAt Continuous.enorm continuous_id'
nnnorm 📖	mathematical	ContinuousAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedAddGroup.toNNNorm	—	Filter.Tendsto.nnnorm
nnnorm' 📖	mathematical	ContinuousAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedGroup.toNNNorm	—	Filter.Tendsto.nnnorm'
norm 📖	mathematical	ContinuousAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedAddGroup.toNorm	—	Filter.Tendsto.norm
norm' 📖	mathematical	ContinuousAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedGroup.toNorm	—	Filter.Tendsto.norm'

ContinuousOn

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm 📖	mathematical	ContinuousOn	ENNReal ENNReal.instTopologicalSpace ENorm.enorm ContinuousENorm.toENorm	—	comp Continuous.continuousOn ContinuousENorm.continuous_enorm Set.mapsTo_univ
nnnorm 📖	mathematical	ContinuousOn UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedAddGroup.toNNNorm	—	ContinuousWithinAt.nnnorm
nnnorm' 📖	mathematical	ContinuousOn UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedGroup.toNNNorm	—	ContinuousWithinAt.nnnorm'
norm 📖	mathematical	ContinuousOn UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedAddGroup.toNorm	—	ContinuousWithinAt.norm
norm' 📖	mathematical	ContinuousOn UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedGroup.toNorm	—	ContinuousWithinAt.norm'

ContinuousWithinAt

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm 📖	mathematical	ContinuousWithinAt	ENNReal ENNReal.instTopologicalSpace ENorm.enorm ContinuousENorm.toENorm	—	comp Continuous.continuousWithinAt ContinuousENorm.continuous_enorm
nnnorm 📖	mathematical	ContinuousWithinAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedAddGroup.toNNNorm	—	Filter.Tendsto.nnnorm
nnnorm' 📖	mathematical	ContinuousWithinAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedGroup.toNNNorm	—	Filter.Tendsto.nnnorm'
norm 📖	mathematical	ContinuousWithinAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedAddGroup.toNorm	—	Filter.Tendsto.norm
norm' 📖	mathematical	ContinuousWithinAt UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Real Real.pseudoMetricSpace Norm.norm SeminormedGroup.toNorm	—	Filter.Tendsto.norm'

Filter.Tendsto

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm 📖	mathematical	Filter.Tendsto nhds	ENNReal ENorm.enorm ContinuousENorm.toENorm ENNReal.instTopologicalSpace	—	comp Continuous.continuousAt continuous_enorm
enorm' 📖	mathematical	Filter.Tendsto nhds	ENNReal ENorm.enorm ContinuousENorm.toENorm ENNReal.instTopologicalSpace	—	enorm
nnnorm 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	NNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm NNReal.instTopologicalSpace	—	comp Continuous.continuousAt continuous_nnnorm
nnnorm' 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	NNReal NNNorm.nnnorm SeminormedGroup.toNNNorm NNReal.instTopologicalSpace	—	comp Continuous.continuousAt continuous_nnnorm'
norm 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Real Norm.norm SeminormedAddGroup.toNorm Real.pseudoMetricSpace	—	comp tendsto_norm
norm' 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Real Norm.norm SeminormedGroup.toNorm Real.pseudoMetricSpace	—	comp tendsto_norm'

Inseparable

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_eq_enorm 📖	mathematical	Inseparable	ENorm.enorm ContinuousENorm.toENorm	—	eq T3Space.toT0Space T4Space.t3Space ENNReal.instT4Space map continuous_enorm
enorm_eq_enorm' 📖	mathematical	Inseparable	ENorm.enorm ContinuousENorm.toENorm	—	enorm_eq_enorm
nnnorm_eq_nnnorm 📖	mathematical	Inseparable UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	NNNorm.nnnorm SeminormedAddGroup.toNNNorm	—	eq T3Space.toT0Space T4Space.t3Space T5Space.toT4Space OrderTopology.t5Space NNReal.instOrderTopology map continuous_nnnorm
nnnorm_eq_nnnorm' 📖	mathematical	Inseparable UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	NNNorm.nnnorm SeminormedGroup.toNNNorm	—	eq T3Space.toT0Space T4Space.t3Space T5Space.toT4Space OrderTopology.t5Space NNReal.instOrderTopology map continuous_nnnorm'
norm_eq_norm 📖	mathematical	Inseparable UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Norm.norm SeminormedAddGroup.toNorm	—	eq T3Space.toT0Space T4Space.t3Space T5Space.toT4Space OrderTopology.t5Space instOrderTopologyReal map continuous_norm
norm_eq_norm' 📖	mathematical	Inseparable UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Norm.norm SeminormedGroup.toNorm	—	eq T3Space.toT0Space T4Space.t3Space T5Space.toT4Space OrderTopology.t5Space instOrderTopologyReal map continuous_norm'

NormedAddCommGroup

Definitions

Name	Category	Theorems
toENormedAddCommMonoid 📖	CompOp	5412 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, 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, 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, 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, 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', 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.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, 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, 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, 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, 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, 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, exists_norm_nsmul_le, 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, 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, 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, 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.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, 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, 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, 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, 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

NormedAddGroup

Definitions

Name	Category	Theorems
toENormedAddMonoid 📖	CompOp	66 math math: intervalIntegral.intervalIntegrable_one_div_one_add_sq, curveIntegrable_segment, circleIntegrable_iff, intervalIntegrable_bernoulliFun, intervalIntegral.intervalIntegrable_inv, MonotoneOn.intervalIntegrable, IntervalIntegrable.zero, Filter.Tendsto.eventually_intervalIntegrable, IntervalIntegrable.comp_sub_left_iff, intervalIntegral.intervalIntegrable_of_integral_ne_zero, MonotoneOn.intervalIntegrable_deriv, intervalIntegral.intervalIntegrable_zpow, intervalIntegral.intervalIntegrable_inv_one_add_sq, BoundedVariationOn.intervalIntegrable_deriv, intervalIntegral.intervalIntegrable_sin, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_within_diff_singleton, intervalIntegral.intervalIntegrable_log, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_filter, intervalIntegral.intervalIntegrable_cos, intervalIntegral.intervalIntegrable_rpow, Polynomial.intervalIntegrable_mahlerMeasure, intervalIntegrable_sub_inv_iff, intervalIntegral.intervalIntegrable_cpow, AntitoneOn.intervalIntegrable, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_left, MonotoneOn.intervalIntegrable_slope, IntervalIntegrable.log, intervalIntegral.intervalIntegrable_id, Continuous.intervalIntegrable, ContinuousOn.intervalIntegrable_of_Icc, intervalIntegral.intervalIntegrable_exp, Filter.Tendsto.eventually_intervalIntegrable_ae, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_punctured, IntervalIntegrable.comp_mul_left_iff, intervalIntegral.intervalIntegrable_const, intervalIntegrable_posLog_norm_meromorphicOn, Complex.betaIntegral_convergent, intervalIntegrable_log_cos, intervalIntegrable_const, intervalIntegral.intervalIntegrable_deriv_of_nonneg, Complex.integrable_pow_mul_norm_one_add_mul_inv, IntervalIntegrable.intervalIntegrable_norm_iff, ODE.FunSpace.intervalIntegrable_comp_compProj, IntervalIntegrable.iff_comp_neg, intervalIntegral.intervalIntegrable_pow, MeromorphicOn.intervalIntegrable_log, circleIntegrable_def, not_intervalIntegrable_of_sub_inv_isBigO_punctured, Monotone.intervalIntegrable, intervalIntegral.intervalIntegrable_cpow', intervalIntegral.intervalIntegrable_rpow', ZetaAsymptotics.term_welldef, intervalIntegrable_log_norm_meromorphicOn, ContinuousOn.intervalIntegrable, Complex.betaIntegral_convergent_left, CircleIntegrable.out, Chebyshev.intervalIntegrable_one_div_log_sq, MeasureTheory.intervalIntegrable_charFun, Polynomial.Chebyshev.intervalIntegrable_sqrt_one_sub_sq_inv, intervalIntegral.intervalIntegrable_one_div, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_right, intervalIntegrable_log_sin, intervalIntegrable_inv_iff, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, intervalIntegral.intervalIntegrable_log', Antitone.intervalIntegrable

NormedCommGroup

Definitions

Name	Category	Theorems
toENormedCommMonoid 📖	CompOp	—

NormedGroup

Definitions

Name	Category	Theorems
toENormedMonoid 📖	CompOp	—

SeminormedAddCommGroup

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mem_closure_iff 📖	mathematical	—	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Real Real.instLT Norm.norm SeminormedAddGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup	—	Metric.mem_closure_iff dist_eq_norm_sub

SeminormedAddGroup

Definitions

Name	Category	Theorems
toContinuousENorm 📖	CompOp	691 math math: MeasureTheory.HasFiniteIntegral.of_subsingleton, MeasureTheory.integrable_prodLp_iff, MeasureTheory.integrable_indicatorConstLp, InformationTheory.integrable_klFun_rnDeriv_iff, MeasureTheory.eLpNorm'_norm, MeasureTheory.eLpNormEssSup_const_smul_le, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, HasStrictFDerivAt.isLittleOTVS, TensorProduct.enorm_lid, Real.integrableOn_rpowIntegrand₀₁_Ioi, ProbabilityTheory.IsGaussian.memLp_id, ProbabilityTheory.IdentDistrib.memLp_iff, MeasureTheory.eLpNorm_condExp_le, MeasureTheory.LipschitzWith.integrable_comp_iff_of_antilipschitz, MeasureTheory.IntegrableOn.of_subsingleton, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, MeasureTheory.eLpNormEssSup_const_smul, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, MeasureTheory.unifTight_iff_real, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ProbabilityTheory.IdentDistrib.integrable_iff, MeasureTheory.eLpNorm'_const', Monotone.locallyIntegrable, MeasureTheory.memLp_top_of_bound, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, egauge_prod_mk, MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, MeasureTheory.eLpNorm_mono_nnnorm_ae, Asymptotics.isLittleOTVS_one, MeasureTheory.Lp.edist_def, setOf_riemmanianEDist_lt_subset_nhds, ContDiffBump.integrable, ContinuousLinearMap.comp_memLp, not_integrableOn_Ioi_cpow, MeasureTheory.AEStronglyMeasurable.memLp_truncation, LipschitzWith.memLp_lineDeriv, WeakFEPair.hf_modif_int, eventually_enorm_mfderivWithin_symm_extChartAt_lt, ProbabilityTheory.integrable_preCDF, TensorProduct.enorm_comm, WithLp.enorm_snd_le, MeasureTheory.IntegrableOn.of_finite, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, Int.enorm_natCast, MeasureTheory.L1.ofReal_norm_eq_lintegral, AntitoneOn.memLp_isCompact, ContDiffBump.integrable_normed, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg, MeasureTheory.Lp.dist_def, intervalIntegral.integrableOn_deriv_of_nonneg, MeasureTheory.pdf.IsUniform.mul_pdf_integrable, ProbabilityTheory.integrable_toReal_condExpKernel, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, MeasureTheory.locallyIntegrableOn_const, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.le_eLpNorm_of_bddBelow, MeasureTheory.Lp.memLp, MeasureTheory.Lp.nnnorm_def, egauge_ball_le_of_one_lt_norm, MeasureTheory.Martingale.integrable, hasStrictFDerivAt_iff_isLittleOTVS, not_IntegrableOn_Ioi_inv, MeasureTheory.lintegral_enorm_neg, 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, LipschitzWith.memLp_comp_iff_of_antilipschitz, MeasureTheory.hasFiniteIntegral_prod_iff', MeasureTheory.ConvolutionExistsAt.integrable, egauge_add_add_le, Asymptotics.isLittleOTVS_prodMk_left, MeasureTheory.integrable_const_mul_iff, MeasureTheory.UniformIntegrable.integrable_of_tendstoInMeasure, integrableOn_exp_Iic, ContinuousLinearMap.ebound, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_top, HasFDerivAtFilter.isBigOTVS_sub, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, MeasureTheory.eLpNorm_le_of_ae_nnnorm_bound, MeasureTheory.eLpNorm_mono_real, mellin_convergent_zero_of_isBigO, ProbabilityTheory.evariance_lt_top_iff_memLp, ProbabilityTheory.IdentDistrib.eLpNorm_eq, integrableOn_Ioi_rpow_of_lt, egauge_univ, integrableOn_Ioi_norm_cpow_of_lt, MeasureTheory.eLpNorm_sub_le, MeasureTheory.AEEqFun.integrable_iff_mem_L1, MeasureTheory.SimpleFunc.memLp_zero, MeasureTheory.integrable_piLp_iff, enorm_fderiv_norm_rpow_le, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, MeasureTheory.UniformIntegrable.memLp_of_tendstoInMeasure, MeasureTheory.Submartingale.integrable, Real.GammaIntegral_convergent, MeasureTheory.memLp_two_iff_integrable_sq_norm, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, egauge_zero_zero, MeasureTheory.integrable_norm_rpow_iff, SchwartzMap.eLpNorm_lt_top, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto_ae, MeasureTheory.UniformIntegrable.memLp_of_ae_tendsto, MeasureTheory.integral_norm_eq_lintegral_enorm, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, MeasureTheory.integrable_condExp, SchwartzMap.memLp, MeasureTheory.eLpNorm_norm, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, 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, MeasureTheory.uniformIntegrable_iff, MeasureTheory.SimpleFunc.memLp_iff_integrable, MeasureTheory.L1.integrable_coeFn, MeasureTheory.eLpNorm'_mono_nnnorm_ae, egauge_univ_pi, integrableOn_Ioi_cpow_iff, ProbabilityTheory.IsGaussian.memLp_two_id, MeasureTheory.memLp_const_iff, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, ContinuousOn.integrableOn_Icc, ProbabilityTheory.IsGaussian.integrable_fun_id, MeasureTheory.L1.norm_def, MeasureTheory.integrable_thickenedIndicator, MeasureTheory.eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul, MeasureTheory.integrable_of_tendsto, MeasureTheory.Integrable.of_isEmpty, MeasureTheory.eLpNorm_mono_ae, MeasureTheory.eLpNorm_ofReal, Filter.HasBasis.isLittleOTVS_iff, LinearIsometry.enorm_map, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, integrableOn_Ioi_norm_cpow_iff, MeasureTheory.memLp_haarAddCircle_iff, HasFDerivAt.isBigOTVS_sub, MeasureTheory.integrable_prod, MeasureTheory.ConvolutionExistsAt.integrable_swap, ProbabilityTheory.Kernel.integrable_densityProcess, ContinuousOn.integrableOn_uIcc, MeasureTheory.Integrable.of_integral_ne_zero, Continuous.integrable_of_hasCompactSupport, Asymptotics.IsLittleOTVS.zero, Asymptotics.isLittleOTVS_fun_neg_left, MeasureTheory.MemLp.of_discrete, Asymptotics.isBigOTVS_iff_smallSets, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, eventually_riemmanianEDist_lt, MonotoneOn.memLp_of_measure_ne_top, Polynomial.toAddCircle.integrable, MeasureTheory.integrable_withDensity_iff_integrable_smul', MeasureTheory.eLpNorm'_congr_norm_ae, MeasureTheory.HasFiniteIntegral.of_finite, intervalIntegral.integrableOn_Ioo_rpow_iff, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, Asymptotics.isBigOTVS_fun_neg_left, Asymptotics.isBigOTVS_fun_neg_right, MeasureTheory.integrable_comp_div_iff, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, HasCompactSupport.memLp_of_bound, GaussianFourier.integrable_cexp_neg_mul_sum_add, MeasureTheory.integrable_add_iff_of_nonneg, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, egauge_le_one, Real.fourierIntegral_convergent_iff', integrable_rpow_neg_one_add_norm_sq, Asymptotics.isBigOTVS_iff_isBigO, ContinuousOn.integrableOn_of_subset_isCompact, BoundedContinuousFunction.integrable, MeasureTheory.SimpleFunc.memLp_iff_finMeasSupp, HasFPowerSeriesOnBall.compContinuousLinearMap, MeasureTheory.eLpNorm_le_eLpNorm_top_mul_eLpNorm, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', Real.integrable_sinc, MeasureTheory.enorm_indicatorConstLp_le, not_IntegrableOn_Ici_inv, le_egauge_smul_left, MeasureTheory.memLp_two_iff_integrable_sq, MeasureTheory.enorm_integral_le_lintegral_enorm, AntitoneOn.integrableOn_isCompact, ProbabilityTheory.integrable_pow_abs_mul_exp_of_mem_interior_integrableExpSet, MeasureTheory.Measure.integrableOn_of_bounded, PiLp.enorm_apply_le, Asymptotics.IsLittleO.isLittleOTVS, MeasureTheory.hasFiniteIntegral_iff_edist, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, DifferentiableAt.isBigOTVS_sub, MeasureTheory.integrable_comp, AntitoneOn.memLp_top, MeasureTheory.eLpNorm'_neg, BoundedContinuousFunction.memLp_top, MeasureTheory.integrableOn_Lp_of_measure_ne_top, CompactlySupportedContinuousMap.integrable, MeasureTheory.memLp_prod_iff, egauge_pi, ContinuousLinearEquiv.integrable_comp_iff, Asymptotics.isBigOTVS_congr, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, Asymptotics.isBigOTVS_neg_right, Real.one_div_sub_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_condVar, MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimage, MeasureTheory.toReal_eLpNorm, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', MeasureTheory.integrableOn_Ioi_comp_mul_left_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, VectorFourier.fourierIntegral_convergent_iff, MeasureTheory.eLpNorm_sub_comm, MeasureTheory.SimpleFunc.memLp_iff, MeasureTheory.UniformIntegrable.spec', MeasureTheory.IsFundamentalDomain.integrableOn_iff, measurableSet_integrable, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.eLpNorm_star, ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, Chebyshev.integrableOn_theta_div_id_mul_log_sq, intervalIntegral.integrableOn_Ioo_cpow_iff, MeasureTheory.HasFiniteIntegral.of_bounded, InformationTheory.klDiv_def, ProbabilityTheory.memLp_id_gaussianReal', MeasureTheory.memLp_congr_norm, integrableOn_Ioi_deriv_ofReal_cpow, MeasureTheory.integrable_comp_div_left, Asymptotics.isLittleOTVS_fun_neg_right, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, MeasureTheory.Supermartingale.integrable, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, MeasureTheory.IsAddFundamentalDomain.integrableOn_iff, 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', not_integrableOn_Ioi_rpow, MeasureTheory.integrable_add_of_disjoint, MeasureTheory.hasFiniteIntegral_neg_iff, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, MeasureTheory.Measure.integrable_measure_prodMk_left, MeasureTheory.hasFiniteIntegral_const, MeasureTheory.BorelCantelli.integrable_process, MeasureTheory.Lp.eLpNorm_lim_le_liminf_eLpNorm, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, SemilinearMapClass.ebound_of_continuous, MeasureTheory.eLpNorm'_mono_ae, InnerProductSpace.enorm_rankOne, MeasureTheory.SimpleFunc.FinMeasSupp.integrable, MeasureTheory.eLpNormEssSup_le_nnreal_smul_eLpNormEssSup_of_ae_le_mul, MeasureTheory.hasFiniteIntegral_const_iff_isFiniteMeasure, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, MeasureTheory.integrable_prod_iff, MeasureTheory.Lp_toLp_restrict_add, 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, Antitone.locallyIntegrable, Polynomial.Chebyshev.integrable_measureT, ProbabilityTheory.HasSubgaussianMGF.integrable, Asymptotics.isBigOTVS_neg_left, MeasureTheory.SimpleFunc.memLp_top, DifferentiableWithinAt.isBigOTVS_sub, InformationTheory.klDiv_ne_top_iff, MeasureTheory.integrable_conv_iff, MeasureTheory.condExp_def, MeasureTheory.integrable_of_summable_norm_restrict, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, MeasureTheory.SimpleFunc.integrable_iff, MeasureTheory.locallyIntegrable_const, MeasureTheory.integrable_mul_const_iff, TensorProduct.enorm_tmul, MeasureTheory.Measure.integrable_compProd_iff, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, MeasureTheory.integrable_toReal_of_lintegral_ne_top, MeasureTheory.eLpNorm_const_smul_le', MeasureTheory.integrable_smul_const, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.eLpNorm_sub_le', ProbabilityTheory.integrable_comp_snd_map_prodMk_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, MeasureTheory.IsAddFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.Integrable.re_im_iff, MeasureTheory.eLpNorm'_congr_nnnorm_ae, ProbabilityTheory.IsGaussian.memLp_dual, Asymptotics.isLittleOTVS_map, Asymptotics.isLittleOTVS_iff_isLittleO, MeasureTheory.Lp.eLpNorm'_lim_eq_lintegral_liminf, integrable_rpow_mul_exp_neg_mul_sq, MeasureTheory.IntegrableOn.finset, InformationTheory.klDiv_eq_integral_klFun, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, ProbabilityTheory.evariance_def', MeasureTheory.mem_lpMeasSubgroup_toLp_of_trim, MeasureTheory.L1.SimpleFunc.integrable, MeasureTheory.Measure.integrable_compProd_snd_iff, Asymptotics.IsBigO.eventually_integrableOn, MeasureTheory.eLpNorm_indicator_le_of_bound, MeasureTheory.eLpNorm_neg, le_egauge_smul_right, ProbabilityTheory.integrable_exp_mul_gaussianReal, MeasureTheory.integrable_add_iff_of_nonpos, MeasureTheory.integrable_add_const_iff, MeasureTheory.Lp.simpleFunc.memLp, MeasureTheory.integrable_comp_mul_left_iff, ProbabilityTheory.Kernel.integrable_density, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, ProbabilityTheory.hasFiniteIntegral_comp_iff', MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, integrableOn_exp_mul_complex_Iic, MeasureTheory.L2.eLpNorm_inner_lt_top, MeasureTheory.integrable_withDensity_iff_integrable_smul, ProbabilityTheory.integrable_pow_of_mem_interior_integrableExpSet, AntitoneOn.memLp_of_measure_ne_top, 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, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, ProbabilityTheory.hasFiniteIntegral_comp_iff, egauge_ball_one_le_of_one_lt_norm, MeasureTheory.integrable_comp_sub_left, Asymptotics.isBigOTVS_pi, MeasureTheory.eLpNorm_congr_nnnorm_ae, MeasureTheory.HasFiniteIntegral.of_mem_Icc, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, ContinuousOn.integrableAt_nhdsWithin, ProbabilityTheory.measurableSet_integrable, SchwartzMap.eLpNorm_le_seminorm, hasFDerivAtFilter_iff_isLittleOTVS, MeasureTheory.eLpNorm_const_smul_le, Real.integrable_of_summable_norm_Icc, not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter, integrableOn_Ioi_rpow_iff, 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, integrableOn_rpow_mul_exp_neg_rpow, ProbabilityTheory.IsRatCondKernelCDFAux.integrable, integrableOn_exp_mul_Ioi, ProbabilityTheory.IsCondKernelCDF.integrable, ContinuousLinearMap.opENorm_comp_le, Asymptotics.IsTheta.isThetaTVS, ProbabilityTheory.integrable_of_mem_integrableExpSet, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, MeasureTheory.memLp_piLp_iff, ProbabilityTheory.integrable_compProd_iff, ContinuousOn.locallyIntegrableOn, MeasureTheory.eLpNorm'_const_smul, Asymptotics.isLittleOTVS_neg_right, Continuous.integrableOn_uIoc, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, MeasureTheory.Integrable.comp_fst_iff, OrthonormalBasis.enorm_eq_one, MeasureTheory.tendstoInMeasure_iff_measureReal_enorm, StrongDual.norm_toLpₗ_le, MeasureTheory.eLpNorm_lt_top_of_finite, MeasureTheory.tendsto_eLpNorm_condExp, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, integrable_inv_one_add_sq, MeasureTheory.eLpNorm_mono_ae_real, MeasureTheory.eLpNorm_congr_norm_ae, MeasureTheory.memLp_add_of_disjoint, Asymptotics.Filter.Tendsto.isBigOTVS_one, ProbabilityTheory.memLp_id_gaussianReal, LipschitzWith.locallyIntegrable_lineDeriv, MeasureTheory.memLp_norm_rpow_iff, Asymptotics.isLittleOTVS_fun_comm, Asymptotics.isLittleOTVS_comm, MeasureTheory.eLpNorm_const_smul, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, Real.fourierIntegral_convergent_iff, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, MeasureTheory.eLpNorm_norm_rpow, Asymptotics.IsBigOTVS.rfl, Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, MeasureTheory.integrable_congr', Complex.conjCLE_enorm, Continuous.memLp_top_of_hasCompactSupport, MeasureTheory.UniformIntegrable.integrable_of_ae_tendsto, Asymptotics.isBigOTVS_fun_comm, Real.enorm_exp_I_mul_ofReal_sub_one_le, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, integrableOn_exp_neg_Ioi, MeasureTheory.integrable_condExpL2_indicator, Filter.Tendsto.integrableAtFilter_ae, Continuous.integrableOn_Ioc, MeasureTheory.MemLp.of_bound, LinearIsometry.enorm_toContinuousLinearMap, setOf_riemannianEDist_lt_subset_nhds, eventually_riemannianEDist_le_edist_extChartAt, ProbabilityTheory.HasGaussianLaw.integrable, MeasureTheory.integrable_prod_iff', Continuous.integrableAt_nhds, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, integrable_of_isBigO_exp_neg, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, MeasureTheory.SimpleFunc.eLpNorm'_eq, TensorProduct.enorm_assoc, MeasureTheory.hasFiniteIntegral_toReal_iff, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, MeasureTheory.eLpNorm_mono, integrableOn_Ioi_cpow_of_lt, ProbabilityTheory.condVar_of_sigmaFinite, MeasureTheory.SimpleFunc.memLp_of_isFiniteMeasure, intervalIntegral.integrableOn_deriv_right_of_nonneg, mellin_convergent_iff_norm, MeasureTheory.Integrable.of_bound, ProbabilityTheory.measurableSet_kernel_integrable, MeasureTheory.UniformIntegrable.memLp, egauge_eq_zero_iff, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm, MeasureTheory.integrable_const_iff, HasStrictFDerivAt.isBigOTVS_sub, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, MeasureTheory.hasFiniteIntegral_const_iff, ProbabilityTheory.integrable_kernel_prodMk_left, ProbabilityTheory.memLp_tilted_mul, ContinuousLinearMap.isThetaTVS_comp, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', MeasureTheory.convolutionExistsAt_iff_integrable_swap, MeasureTheory.memLp_prodLp_iff, Continuous.integrableOn_uIcc, MeasureTheory.integrable_comp_mul_right_iff, Filter.Tendsto.integrableAtFilter, MeasureTheory.SimpleFunc.integrable_of_isFiniteMeasure, MonotoneOn.integrableOn_isCompact, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, MeasureTheory.integrable_swap_iff, MeasureTheory.Lp.mem_Lp_iff_eLpNorm_lt_top, MeasureTheory.AEStronglyMeasurable.integrable_truncation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, MeasureTheory.IsFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.Integrable.comp_snd_iff, integrableOn_Ioi_exp_neg_mul_sq_iff, MeasureTheory.pdf.integrable_pdf_smul_iff, Continuous.locallyIntegrable, MeasureTheory.eLpNormEssSup_indicator_eq_eLpNormEssSup_restrict, TensorProduct.enorm_map, Real.enorm_rpow_of_nonneg, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, SchwartzMap.memLp_top, MeasureTheory.Measure.integrable_comp_iff, MeasureTheory.IntegrableOn.of_bound, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, MeasureTheory.UnifTight.exists_measurableSet_indicator, HasFDerivAtFilter.isLittleOTVS, MeasureTheory.Lp.eLpNorm_lt_top, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, MeasureTheory.L2.integrable_inner, MeasureTheory.hasFiniteIntegral_prod_iff, MeasureTheory.integrable_smul_iff, MeasureTheory.integrableOn_iUnion_of_summable_norm_restrict, MeasureTheory.integrable_neg_iff, MeasureTheory.Integrable.of_subsingleton, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.lintegral_enorm_eq_lintegral_edist, MeasureTheory.condExp_of_sigmaFinite, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, MeasureTheory.Integrable.of_mem_Icc, FormalMultilinearSeries.radius_compContinuousLinearMap_le, MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnder, WeakFEPair.hg_int, MeasureTheory.eLpNorm'_const_smul_le, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto, UniformSpace.Completion.enorm_coe, MeasureTheory.UniformIntegrable.spec, Asymptotics.isThetaTVS_comm, ProbabilityTheory.HasSubgaussianMGF.memLp, MeasureTheory.eLpNormEssSup_lt_top_of_ae_bound, WeakFEPair.hf_int, ProbabilityTheory.Kernel.eLpNorm_density_le, MeasureTheory.integrable_comp_smul_iff, HasFDerivWithinAt.isBigOTVS_sub, AntitoneOn.integrableOn_of_measure_ne_top, div_le_egauge_ball, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, MeasureTheory.Lp.eLpNorm_exponent_top_lim_eq_essSup_liminf, MeasureTheory.norm_Lp_toLp_restrict_le, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, MeasureTheory.Lp.enorm_def, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', setOf_riemmanianEDist_lt_subset_nhds', MeasureTheory.integrable_rnDeriv_smul_iff, ProbabilityTheory.hasFiniteIntegral_compProd_iff, MeasureTheory.SignedMeasure.integrable_rnDeriv, ProbabilityTheory.integrable_exp_mul_of_le, MeasureTheory.submartingale_iff_condExp_sub_nonneg, Complex.imCLM_enorm, RCLike.enorm_conj, MeasureTheory.eLpNorm_eq_zero_and_zero_of_ae_le_mul_neg, Complex.ofRealCLM_enorm, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.memLp_neg_iff, MeasureTheory.integrable_pi_iff, MeasureTheory.tendstoInMeasure_iff_enorm, MeasureTheory.eLpNormEssSup_lt_top_of_ae_nnnorm_bound, le_egauge_ball_one, MonotoneOn.memLp_isCompact, not_integrableOn_Ici_inv, MonotoneOn.integrableOn_of_measure_ne_top, ContinuousLinearMap.isBigOTVS_fun_comp, exp_neg_integrableOn_Ioi, integrable_exp_neg_mul_sq_iff, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, MeasureTheory.SimpleFunc.integrable_iff_finMeasSupp, ContinuousOn.integrableAt_nhdsWithin_of_isSeparable, MeasureTheory.eLpNorm'_const_smul_le', MeasureTheory.integrable_condExpIndSMul, GaussianFourier.integrable_cexp_neg_sum_mul_add, ProbabilityTheory.integrable_pow_mul_exp_of_mem_interior_integrableExpSet, MeasureTheory.eLpNorm_const_lt_top_iff, div_le_egauge_closedBall, ProbabilityTheory.integrable_toReal_condDistrib, Probability.integrable_cauchyPDFReal, MeasureTheory.integrable_toReal_iff, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, integrableOn_rpow_mul_exp_neg_mul_sq, MonotoneOn.memLp_top, Asymptotics.isBigOTVS_map, ProbabilityTheory.IsGaussian.memLp_two_fun_id, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, Orthonormal.enorm_eq_one, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, MeasureTheory.integral_def, IsUnit.integrable_smul_iff, MeasureTheory.L1.norm_sub_eq_lintegral, SchwartzMap.integrable, MeasureTheory.integrable_condExpL1, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, MeasureTheory.L1.hasFiniteIntegral_coeFn, MeasureTheory.hasFiniteIntegral_congr', ContinuousLinearMap.le_opENorm, MeasureTheory.eLpNorm_condExpL2_le, MeasureTheory.eLpNorm_sub_le_of_dist_bdd, integrable_exp_neg_mul_sq, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, MeasureTheory.exists_eLpNorm_indicator_le, SchwartzMap.integrable_pow_mul, MeasureTheory.memLp_of_bounded, integrable_mulExpNegMulSq_comp, integrable_cexp_quadratic, MeasureTheory.hasFiniteIntegral_iff_norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, MeasureTheory.integrable_withDensity_iff, ProbabilityTheory.integrable_exp_mul_of_mem_Icc, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, MeasureTheory.integrableOn_Ioi_comp_mul_right_iff, IsRiemannianManifold.out, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving, ContinuousOn.integrableOn_compact, Asymptotics.isBigOTVS_prodMk_left, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm, TorusIntegrable.function_integrable, LinearIsometryEquiv.integrable_comp_iff, egauge_smul_right, MeasureTheory.integrable_count_iff, MeasureTheory.memLp_norm_iff, MeasureTheory.eLpNorm_aeeqFun, integrable_mul_cexp_neg_mul_sq, ProbabilityTheory.HasCondSubgaussianMGF.integrable_exp_mul, Complex.GammaIntegral_convergent, MeasureTheory.integrable_const_add_iff, MeasureTheory.integrableOn_Ioi_comp_rpow_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, ProbabilityTheory.HasGaussianLaw.memLp, MeasureTheory.L1.ofReal_norm_sub_eq_lintegral, MeasureTheory.integrable_fun_norm_addHaar, ProbabilityTheory.IsRatCondKernelCDF.integrable, ContinuousMap.enorm_eq_iSup_enorm, MeasureTheory.AEEqFun.eLpNorm_star, Complex.reCLM_enorm, MeasureTheory.hasFiniteIntegral_smul_iff, MeasureTheory.integrable_mconv_iff, Asymptotics.isLittleOTVS_insert, MeasureTheory.integrable_fun_smul_iff, BoundedContinuousFunction.enorm_eq_iSup_enorm, MeasureTheory.eLpNorm'_norm_rpow, integrable_cexp_quadratic', Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_gaussianPDFReal, Asymptotics.IsBigOTVS.refl, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, ContinuousLinearMap.isBigOTVS_id, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, ContinuousOn.integrableOn_compact', MeasureTheory.Submartingale.integrable_stoppedValue, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, MeasureTheory.integrable_const, Asymptotics.IsBigO.isBigOTVS, Asymptotics.isLittleOTVS_neg_left, MeasureTheory.integrable_const_iff_isFiniteMeasure, WithLp.enorm_fst_le, Asymptotics.isLittleOTVS_sup, MeasureTheory.memLp_trim_of_mem_lpMeasSubgroup, SchwartzMap.integrable_pow_mul_iteratedFDeriv, egauge_zero_right, Asymptotics.isThetaTVS_iff_isTheta, MeasureTheory.eLpNorm_mono_nnnorm, Real.exists_measure_rpow_eq_integral, MeasureTheory.eLpNorm_conj, ProbabilityTheory.integrable_comp_iff, MeasureTheory.eLpNormEssSup_le_of_ae_nnnorm_bound, integrable_cexp_neg_mul_sq, 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, MeasureTheory.memLp_re_im_iff, MeasureTheory.eLpNorm_le_nnreal_smul_eLpNorm_of_ae_le_mul, Asymptotics.isLittleOTVS_pi, integrableOn_Ioi_deriv_norm_ofReal_cpow, integrable_of_le_of_pow_mul_le, Continuous.integrableOn_Icc, ProbabilityTheory.mgf_pos_iff, 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, egauge_le_of_smul_mem_of_ne, MeasureTheory.Lp_toLp_restrict_smul, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Real.integrableOn_rpowIntegrand₀₁_Ici, MeasureTheory.Integrable.of_finite, egauge_pi', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', eventually_riemannianEDist_lt, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', MeasureTheory.integrable_rnDeriv_mul_log_iff, MeasureTheory.hasFiniteIntegral_count_iff, integrableAtFilter_rpow_atTop_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, MeasureTheory.Measure.integrable_pow_neg_integrablePower, TensorProduct.edist_tmul_le, integrableOn_rpow_mul_exp_neg_mul_rpow, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, MeasureTheory.Measure.integrable_toReal_rnDeriv, MeasureTheory.Lp.norm_def, MeasureTheory.eLpNorm_nsmul, integrableOn_exp_mul_complex_Ioi, not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter_aux, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, ProbabilityTheory.integrable_stieltjesOfMeasurableRat, MeasureTheory.memLp_const, BoundedContinuousFunction.integrable_of_nnreal, ProbabilityTheory.IsGaussian.integrable_id, egauge_smul_left, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
tendstoUniformlyOn_zero 📖	mathematical	—	TendstoUniformlyOn PseudoMetricSpace.toUniformSpace toPseudoMetricSpace Pi.instZero NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid toAddGroup Filter.Eventually	—	Metric.tendstoUniformlyOn_iff dist_zero_left
uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_zero 📖	mathematical	—	UniformCauchySeqOnFilter PseudoMetricSpace.toUniformSpace toPseudoMetricSpace TendstoUniformlyOnFilter SubNegMonoid.toSub AddGroup.toSubNegMonoid toAddGroup Pi.instZero NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SProd.sprod Filter Filter.instSProd	—	Filter.HasBasis.mem_uniformity_iff Metric.uniformity_basis_dist Filter.Eventually.mono Metric.dist_mem_uniformity dist_eq_norm_sub zero_sub neg_sub norm_sub_rev
uniformCauchySeqOn_iff_tendstoUniformlyOn_zero 📖	mathematical	—	UniformCauchySeqOn PseudoMetricSpace.toUniformSpace toPseudoMetricSpace TendstoUniformlyOn SubNegMonoid.toSub AddGroup.toSubNegMonoid toAddGroup Pi.instZero NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SProd.sprod Filter Filter.instSProd	—	tendstoUniformlyOn_iff_tendstoUniformlyOnFilter uniformCauchySeqOn_iff_uniformCauchySeqOnFilter uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_zero

SeminormedCommGroup

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mem_closure_iff 📖	mathematical	—	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Real Real.instLT Norm.norm SeminormedGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup	—	dist_eq_norm_div

SeminormedGroup

Definitions

Name	Category	Theorems
toContinuousENorm 📖	CompOp	—

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
tendstoUniformlyOn_one 📖	mathematical	—	TendstoUniformlyOn PseudoMetricSpace.toUniformSpace toPseudoMetricSpace Pi.instOne InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid toGroup Filter.Eventually	—	dist_one_left
uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_one 📖	mathematical	—	UniformCauchySeqOnFilter PseudoMetricSpace.toUniformSpace toPseudoMetricSpace TendstoUniformlyOnFilter DivInvMonoid.toDiv Group.toDivInvMonoid toGroup Pi.instOne InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SProd.sprod Filter Filter.instSProd	—	Filter.HasBasis.mem_uniformity_iff Metric.uniformity_basis_dist Filter.Eventually.mono Metric.dist_mem_uniformity dist_eq_norm_div one_div inv_div norm_div_rev
uniformCauchySeqOn_iff_tendstoUniformlyOn_one 📖	mathematical	—	UniformCauchySeqOn PseudoMetricSpace.toUniformSpace toPseudoMetricSpace TendstoUniformlyOn DivInvMonoid.toDiv Group.toDivInvMonoid toGroup Pi.instOne InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SProd.sprod Filter Filter.instSProd	—	tendstoUniformlyOn_iff_tendstoUniformlyOnFilter uniformCauchySeqOn_iff_uniformCauchySeqOnFilter uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_one

(root)

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
closure_one_eq 📖	mathematical	—	closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Set Set.instSingletonSet InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SeminormedGroup.toGroup setOf Real Norm.norm SeminormedGroup.toNorm Real.instZero	—	Set.ext mem_closure_one_iff_norm
closure_zero_eq 📖	mathematical	—	closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Set Set.instSingletonSet NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SeminormedAddGroup.toAddGroup setOf Real Norm.norm SeminormedAddGroup.toNorm Real.instZero	—	Set.ext mem_closure_zero_iff_norm
comap_norm_nhdsGT_zero 📖	mathematical	—	Filter.comap Real Norm.norm NormedAddGroup.toNorm nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder SeminormedAddGroup.toPseudoMetricSpace NormedAddGroup.toSeminormedAddGroup NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid NormedAddGroup.toAddGroup Compl.compl Set Set.instCompl Set.instSingletonSet	—	Filter.comap_inf comap_norm_nhds_zero Filter.comap_principal Set.mem_Ioi norm_pos_iff Set.mem_singleton_iff
comap_norm_nhdsGT_zero' 📖	mathematical	—	Filter.comap Real Norm.norm NormedGroup.toNorm nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder SeminormedGroup.toPseudoMetricSpace NormedGroup.toSeminormedGroup InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid NormedGroup.toGroup Compl.compl Set Set.instCompl Set.instSingletonSet	—	Filter.comap_inf comap_norm_nhds_one Filter.comap_principal
comap_norm_nhds_one 📖	mathematical	—	Filter.comap Real Norm.norm SeminormedGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero SeminormedGroup.toPseudoMetricSpace InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SeminormedGroup.toGroup	—	dist_one_right nhds_comap_dist
comap_norm_nhds_zero 📖	mathematical	—	Filter.comap Real Norm.norm SeminormedAddGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero SeminormedAddGroup.toPseudoMetricSpace NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SeminormedAddGroup.toAddGroup	—	dist_zero_right nhds_comap_dist
continuous_enorm 📖	mathematical	—	Continuous ENNReal ENNReal.instTopologicalSpace ENorm.enorm ContinuousENorm.toENorm	—	ContinuousENorm.continuous_enorm
continuous_nnnorm 📖	mathematical	—	Continuous NNReal UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedAddGroup.toNNNorm	—	continuous_norm norm_nonneg
continuous_nnnorm' 📖	mathematical	—	Continuous NNReal UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedGroup.toNNNorm	—	continuous_norm' norm_nonneg'
continuous_norm 📖	mathematical	—	Continuous Real UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Real.pseudoMetricSpace Norm.norm SeminormedAddGroup.toNorm	—	dist_zero_right Continuous.dist continuous_id continuous_const
continuous_norm' 📖	mathematical	—	Continuous Real UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Real.pseudoMetricSpace Norm.norm SeminormedGroup.toNorm	—	dist_one_right Continuous.dist continuous_id continuous_const
controlled_prod_of_mem_closure 📖	mathematical	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedCommGroup.toPseudoMetricSpace SetLike.coe Subgroup SeminormedGroup.toGroup SeminormedCommGroup.toSeminormedGroup Subgroup.instSetLike Real Real.instLT Real.instZero	Filter.Tendsto Finset.prod CommGroup.toCommMonoid SeminormedCommGroup.toCommGroup Finset.range Filter.atTop Nat.instPreorder nhds SetLike.instMembership Norm.norm SeminormedCommGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid	—	mem_closure_iff_seq_limit FirstCountableTopology.frechetUrysohnSpace TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology PseudoEMetricSpace.pseudoMetrizableSpace Filter.tendsto_atTop' instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat Metric.ball_mem_nhds Filter.Tendsto.comp Filter.tendsto_add_atTop_nat Metric.dist_mem_uniformity CauchySeq.subseq_mem Filter.Tendsto.cauchySeq StrictMono.tendsto_atTop Filter.Tendsto.congr Finset.eq_prod_range_div' Subgroup.div_mem LT.lt.ne'
controlled_prod_of_mem_closure_range 📖	mathematical	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedCommGroup.toPseudoMetricSpace SetLike.coe Subgroup SeminormedGroup.toGroup SeminormedCommGroup.toSeminormedGroup Subgroup.instSetLike MonoidHom.range Real Real.instLT Real.instZero	Filter.Tendsto Finset.prod CommGroup.toCommMonoid SeminormedCommGroup.toCommGroup Finset.range DFunLike.coe MonoidHom MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid MonoidHom.instFunLike Filter.atTop Nat.instPreorder nhds Norm.norm SeminormedCommGroup.toNorm DivInvMonoid.toDiv	—	controlled_prod_of_mem_closure Finset.prod_congr
controlled_sum_of_mem_closure 📖	mathematical	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace SetLike.coe AddSubgroup SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup AddSubgroup.instSetLike Real Real.instLT Real.instZero	Filter.Tendsto Finset.sum AddCommGroup.toAddCommMonoid SeminormedAddCommGroup.toAddCommGroup Finset.range Filter.atTop Nat.instPreorder nhds SetLike.instMembership Norm.norm SeminormedAddCommGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid	—	mem_closure_iff_seq_limit FirstCountableTopology.frechetUrysohnSpace TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology PseudoEMetricSpace.pseudoMetrizableSpace Filter.tendsto_atTop' instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat dist_eq_norm_sub Metric.ball_mem_nhds Filter.Tendsto.comp Filter.tendsto_add_atTop_nat Metric.dist_mem_uniformity CauchySeq.subseq_mem Filter.Tendsto.cauchySeq StrictMono.tendsto_atTop Filter.Tendsto.congr Finset.eq_sum_range_sub' AddSubgroup.sub_mem LT.lt.ne'
controlled_sum_of_mem_closure_range 📖	mathematical	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace SetLike.coe AddSubgroup SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup AddSubgroup.instSetLike AddMonoidHom.range Real Real.instLT Real.instZero	Filter.Tendsto Finset.sum AddCommGroup.toAddCommMonoid SeminormedAddCommGroup.toAddCommGroup Finset.range DFunLike.coe AddMonoidHom AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid AddMonoidHom.instFunLike Filter.atTop Nat.instPreorder nhds Norm.norm SeminormedAddCommGroup.toNorm SubNegMonoid.toSub	—	controlled_sum_of_mem_closure Finset.sum_congr
eventually_ne_of_tendsto_norm_atTop 📖	mathematical	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm Filter.atTop Real.instPreorder	Filter.Eventually	—	Filter.Eventually.mono Filter.Tendsto.eventually_ne_atTop instNoTopOrderOfNoMaxOrder instNoMaxOrderOfNontrivial Real.instIsOrderedRing Real.instNontrivial
eventually_ne_of_tendsto_norm_atTop' 📖	mathematical	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm Filter.atTop Real.instPreorder	Filter.Eventually	—	Filter.Eventually.mono Filter.Tendsto.eventually_ne_atTop instNoTopOrderOfNoMaxOrder instNoMaxOrderOfNontrivial Real.instIsOrderedRing Real.instNontrivial
mem_closure_one_iff_norm 📖	mathematical	—	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Set.instSingletonSet InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SeminormedGroup.toGroup Norm.norm SeminormedGroup.toNorm Real Real.instZero	—	Metric.closedBall_zero' mem_closedBall_one_iff LE.le.ge_iff_eq' norm_nonneg'
mem_closure_zero_iff_norm 📖	mathematical	—	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Set.instSingletonSet NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SeminormedAddGroup.toAddGroup Norm.norm SeminormedAddGroup.toNorm Real Real.instZero	—	Metric.closedBall_zero' mem_closedBall_zero_iff LE.le.ge_iff_eq' norm_nonneg
squeeze_one_norm 📖	mathematical	Real Real.instLE Norm.norm SeminormedGroup.toNorm Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero	SeminormedGroup.toPseudoMetricSpace InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SeminormedGroup.toGroup	—	squeeze_one_norm' Filter.Eventually.of_forall
squeeze_one_norm' 📖	mathematical	Filter.Eventually Real Real.instLE Norm.norm SeminormedGroup.toNorm Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero	SeminormedGroup.toPseudoMetricSpace InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SeminormedGroup.toGroup	—	tendsto_one_iff_norm_tendsto_zero squeeze_zero' Filter.Eventually.of_forall norm_nonneg'
squeeze_zero_norm 📖	mathematical	Real Real.instLE Norm.norm SeminormedAddGroup.toNorm Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero	SeminormedAddGroup.toPseudoMetricSpace NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SeminormedAddGroup.toAddGroup	—	squeeze_zero_norm' Filter.Eventually.of_forall
squeeze_zero_norm' 📖	mathematical	Filter.Eventually Real Real.instLE Norm.norm SeminormedAddGroup.toNorm Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Real.instZero	SeminormedAddGroup.toPseudoMetricSpace NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SeminormedAddGroup.toAddGroup	—	tendsto_zero_iff_norm_tendsto_zero squeeze_zero' Filter.Eventually.of_forall norm_nonneg
tendsto_iff_norm_div_tendsto_zero 📖	mathematical	—	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Real Norm.norm SeminormedGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup Real.pseudoMetricSpace Real.instZero	—	—
tendsto_iff_norm_sub_tendsto_zero 📖	mathematical	—	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Real Norm.norm SeminormedAddGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup Real.pseudoMetricSpace Real.instZero	—	dist_eq_norm_sub tendsto_iff_dist_tendsto_zero
tendsto_norm 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Real.pseudoMetricSpace	—	dist_zero_right Filter.Tendsto.dist Filter.tendsto_id tendsto_const_nhds
tendsto_norm' 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Real.pseudoMetricSpace	—	dist_one_right Filter.Tendsto.dist Filter.tendsto_id tendsto_const_nhds
tendsto_norm_div_self 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Real.pseudoMetricSpace Real.instZero	—	dist_eq_norm_div dist_self Filter.Tendsto.dist Filter.tendsto_id tendsto_const_nhds
tendsto_norm_div_self_nhdsGE 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace nhdsWithin Real.pseudoMetricSpace Real.instZero Set.Ici Real.instPreorder	—	tendsto_nhdsWithin_iff tendsto_norm_div_self
tendsto_norm_div_self_nhdsNE 📖	mathematical	—	Filter.Tendsto Real Norm.norm NormedGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid NormedGroup.toGroup nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace NormedGroup.toSeminormedGroup Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	Filter.Tendsto.inf tendsto_norm_div_self Filter.tendsto_principal_principal norm_pos_iff' div_ne_one
tendsto_norm_nhdsNE_one 📖	mathematical	—	Filter.Tendsto Real Norm.norm NormedGroup.toNorm nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace NormedGroup.toSeminormedGroup InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid NormedGroup.toGroup Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	Filter.Tendsto.inf tendsto_norm_one Filter.tendsto_principal_principal norm_pos_iff'
tendsto_norm_nhdsNE_zero 📖	mathematical	—	Filter.Tendsto Real Norm.norm NormedAddGroup.toNorm nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace NormedAddGroup.toSeminormedAddGroup NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid NormedAddGroup.toAddGroup Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	Filter.Tendsto.inf tendsto_norm_zero Filter.tendsto_principal_principal norm_pos_iff
tendsto_norm_one 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SeminormedGroup.toGroup Real.pseudoMetricSpace Real.instZero	—	div_one tendsto_norm_div_self
tendsto_norm_sub_self 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Real.pseudoMetricSpace Real.instZero	—	dist_eq_norm_sub dist_self Filter.Tendsto.dist Filter.tendsto_id tendsto_const_nhds
tendsto_norm_sub_self_nhdsGE 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace nhdsWithin Real.pseudoMetricSpace Real.instZero Set.Ici Real.instPreorder	—	tendsto_nhdsWithin_iff tendsto_norm_sub_self Set.mem_Ici norm_nonneg Filter.eventually_true
tendsto_norm_sub_self_nhdsNE 📖	mathematical	—	Filter.Tendsto Real Norm.norm NormedAddGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid NormedAddGroup.toAddGroup nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace NormedAddGroup.toSeminormedAddGroup Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	Filter.Tendsto.inf tendsto_norm_sub_self Filter.tendsto_principal_principal norm_pos_iff sub_ne_zero
tendsto_norm_zero 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SeminormedAddGroup.toAddGroup Real.pseudoMetricSpace Real.instZero	—	sub_zero tendsto_norm_sub_self
tendsto_one_iff_norm_tendsto_zero 📖	mathematical	—	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace InvOneClass.toOne DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid SeminormedGroup.toGroup Real Norm.norm SeminormedGroup.toNorm Real.pseudoMetricSpace Real.instZero	—	tendsto_iff_norm_div_tendsto_zero div_one
tendsto_zero_iff_norm_tendsto_zero 📖	mathematical	—	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace NegZeroClass.toZero SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid SeminormedAddGroup.toAddGroup Real Norm.norm SeminormedAddGroup.toNorm Real.pseudoMetricSpace Real.instZero	—	tendsto_iff_norm_sub_tendsto_zero sub_zero

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