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, mem_closure_iff, tendstoUniformlyOn_zero, uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_zero, uniformCauchySeqOn_iff_tendstoUniformlyOn_zero, mem_closure_iff, 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_inv_mul_tendsto_zero, tendsto_iff_norm_neg_add_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_inv_mul_self, tendsto_norm_inv_mul_self_nhdsGE, tendsto_norm_inv_mul_self_nhdsNE, tendsto_norm_neg_add_self, tendsto_norm_neg_add_self_nhdsGE, tendsto_norm_neg_add_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	89
Total	95

Continuous

Theorems

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

ContinuousAt

Theorems

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

ContinuousOn

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm 📖	mathematical	ContinuousOn	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	ContinuousOn NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedAddGroup.toNNNorm	—	ContinuousWithinAt.nnnorm
nnnorm' 📖	mathematical	ContinuousOn UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	ContinuousOn NNReal NNReal.instTopologicalSpace NNNorm.nnnorm SeminormedGroup.toNNNorm	—	ContinuousWithinAt.nnnorm'
norm 📖	mathematical	ContinuousOn UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	ContinuousOn Real UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Norm.norm SeminormedAddGroup.toNorm	—	ContinuousWithinAt.norm
norm' 📖	mathematical	ContinuousOn UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	ContinuousOn Real UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace Norm.norm SeminormedGroup.toNorm	—	ContinuousWithinAt.norm'

ContinuousWithinAt

Theorems

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

Filter.Tendsto

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm 📖	mathematical	Filter.Tendsto nhds	Filter.Tendsto ENNReal ENorm.enorm ContinuousENorm.toENorm nhds ENNReal.instTopologicalSpace	—	comp Continuous.continuousAt continuous_enorm
enorm' 📖	mathematical	Filter.Tendsto nhds	Filter.Tendsto ENNReal ENorm.enorm ContinuousENorm.toENorm nhds ENNReal.instTopologicalSpace	—	enorm
nnnorm 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Filter.Tendsto NNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm nhds NNReal.instTopologicalSpace	—	comp Continuous.continuousAt continuous_nnnorm
nnnorm' 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Filter.Tendsto NNReal NNNorm.nnnorm SeminormedGroup.toNNNorm nhds NNReal.instTopologicalSpace	—	comp Continuous.continuousAt continuous_nnnorm'
norm 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace Real.pseudoMetricSpace	—	comp tendsto_norm
norm' 📖	mathematical	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace 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	6669 math, 2 bridge math: AnalyticWithinAt.const_smul, ArithmeticFunction.vonMangoldt.residueClass_eq, Polynomial.fderiv, logDeriv_tprod_eq_tsum, Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeromorphicAt.meromorphicTrailingCoeffAt_add_eq_add, MeasureTheory.L1.setToL1_eq_setToL1', mfderiv_sumSwap, MeasureTheory.setIntegral_union, TangentBundle.continuousLinearMapAt_model_space, hasFDerivWithinAt_pi'', hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, ContinuousLinearEquiv.antilipschitz, EuclideanGeometry.Sphere.vadd_mem_inter_orthRadius_iff_norm_sq, 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, HasDerivAt.isLittleO, TensorProduct.mapInclIsometry_apply, LinearMap.IsSymmetric.clm_adjoint_eq, ZLattice.summable_norm_zpow, ContinuousLinearMap.rayleigh_smul, mfderiv_prod_eq_add, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, ContinuousMap.toLp_inj, Real.hasDerivAt_fourier, DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply, HasStrictFDerivAt.log, TemperedDistribution.lineDerivOpCLM_eq, Bundle.Trivialization.symm_continuousLinearEquivAt_eq, HasStrictFDerivAt.map_implicitFunctionOfComplemented_eq, IsIntegralCurve.comp_mul, 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, ContinuousLinearMap.inner_map_map_of_mem_unitary, 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, hasSum_mellin_pi_mul_sq', Complex.cos_eq_tsum, InnerProductSpace.HarmonicContOnCl.add, MeasureTheory.setToFun_add_left, hasStrictFDerivAt_const_add_iff, ModularForm.mul_slash_SL2, ProbabilityTheory.Kernel.integral_fn_integral_add, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_changeOrigin, LinearMap.IsStarProjection.ext_iff, hasStrictFDerivAt_apply, instContMDiffVectorBundleOfNatWithTopENatTangentSpaceOfIsManifold, differentiableWithinAt_finCons', LinearEquiv.norm_extend_le, differentiableAt_comp_const_add, taylor_integral_remainder, fderiv_snd, Bundle.Trivial.continuousLinearEquivAt_trivialization, ContinuousLinearMap.derivWithin_of_bilinear, EuclideanGeometry.dist_smul_vadd_sq, HasDerivWithinAt.clm_comp, SchwartzMap.lineDerivOpCLM_eq, real_inner_div_norm_mul_norm_eq_neg_one_iff, SchauderBasis.norm_proj_le_nnnormProjBound, TensorProduct.enorm_lid, EuclideanGeometry.euclideanHausdorffMeasure_eq, 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, extDerivWithin_fun_add, 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, StandardSubspace.toClosedSubmodule_injective, MDifferentiable.add, ProperCone.innerDual_le_innerDual, HasFDerivWithinAt.continuousMultilinearMap_apply, Bundle.Trivialization.symm_continuousLinearEquivAt_eq', RCLike.map_apply, LinearMap.bound_of_shell, MDifferentiableOn.clm_postcomp, 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, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_fst, 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, MeasureTheory.integral_convexOn_of_integrand_ae, mellin_eq_fourier, Affine.Triangle.oangle_excenter_singleton_eq_add_pi, 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, DiffContOnCl.circleAverage_poissonKernel_smul', hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, InnerProductSpace.span_gramSchmidtNormed, LinearMap.toLinearMap_tracePositiveLinearMap, QuadraticMap.lineDeriv, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, EuclideanGeometry.reflection_orthogonal_vadd, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, MeasureTheory.convolution_eq_right', hasStrictFDerivAt_exp_of_mem_ball, EisensteinSeries.hasSum_e2Summand_symmetricIcc, hasFDerivAt_iff_hasGradientAt, summable_of_isEquivalent_nat, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, MeasureTheory.eLpNormEssSup_const_smul, RCLike.reCLM_apply, ContinuousMultilinearMap.cpolynomialOn, MeasureTheory.hausdorffMeasure_segment, ClosedSubmodule.sub_mem_orthogonal_of_inner_right, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, MeasureTheory.UnifTight.add, curveIntegral_smul, InnerProductSpace.volume_closedBall_of_dim_even, MeasureTheory.L1.setToL1_indicatorConstLp, fun_iteratedFDeriv_add_apply, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, 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, ZLattice.summable_norm_sub_inv_pow, Orientation.inner_rotation_pi_div_two_right_smul, extDeriv_constOfIsEmpty, Orientation.oangle_add_left_smul_rotation_pi_div_two, ContinuousLinearMap.exists_preimage_norm_le, Convex.norm_image_sub_le_of_norm_fderivWithin_le', CFC.monotoneOn_one_sub_one_add_inv, Bundle.Trivial.symmL_trivialization, SchauderBasis.RankOneDecomposition.proj_tendsto, 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, MeasureTheory.condExp_bilin_of_stronglyMeasurable_left, DifferentiableOn.fun_add, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, InnerProductSpace.rankOne_one_left_eq_innerSL, PeriodPair.hasSumLocallyUniformly_weierstrassP, Submodule.IsOrtho.starProjection_comp_starProjection, IsHilbertSum.mkInternal, ContDiffBump.normed_sub, summable_of_isEquivalent, mfderivWithin_range_extChartAt_symm, 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, ContinuousLinearMap.opNorm_bound_of_ball_bound, 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, Convex.convex_isRCLikeNormedField, Complex.areaForm, intervalIntegral.inv_smul_integral_comp_div_add, LinearMap.instIsOrderedAddMonoidId, MeromorphicOn.divisor_fun_smul, finrank_real_complex_fact', Real.tsum_eq_tsum_fourier, ClosedSubmodule.mem_iff, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, MDifferentiableWithinAt.add, MeasureTheory.IntegrableOn.continuousOn_smul, taylorWithinEval_hasDerivAt_Ioo, ContDiffMapSupportedIn.seminorm_monoLM_eq, 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, complexOfReal_hasDerivWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, Real.fourierIntegralInv_eq', HasFDerivWithinAt.add, PositiveLinearMap.apply_le_of_isSelfAdjoint, VectorBundleCore.trivializationAt_symmL, Matrix.IsHermitian.det_abs, MDifferentiableAt.mfderiv_prod, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, 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, MDifferentiableAt.cle_arrowCongr, Asymptotics.IsTheta.summable_iff_nat, ContinuousLinearMap.frontier_preimage, LinearMap.isPositive_adjoint_comp_self, ProbabilityTheory.covarianceBilinDual_apply', Manifold.IsImmersionAt.map_target_subset_target, BoundedContinuousFunction.algebraMap_apply, DifferentiableAt.finCons, Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, geom_series_mul_shift, Complex.integral_boundary_rect_eq_zero_of_differentiableOn, has_pointwise_sum_fourier_series_of_summable, 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, AnalyticAtWithin.compContinuousLinearMap, FormalMultilinearSeries.radius_pi_eq_iInf, iteratedFDeriv_sum_apply, MeasureTheory.norm_condExpL2_le, IsLocalMaxOn.hasFDerivWithinAt_nonpos, contDiffAt_norm_smul_iff, ProbabilityTheory.IsGaussian.integrable_dual, ZSpan.floor_eq_self_of_mem, 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, Differentiable.clm_comp, ImplicitFunctionData.isInvertible_fderiv_prodFun, 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, Differentiable.continuousMultilinear_apply_const, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, DifferentiableWithinAt.finCons, norm_iteratedFDerivWithin_one, HasFTaylorSeriesUpTo.cont, ImplicitFunctionData.isCompl_ker, ContinuousLinearMap.hasDerivAtFilter, DoubleCentralizer.intCast_snd, span_fourier_closure_eq_top, Real.fourierIntegral_eq, PeriodPair.basis_one, MeasureTheory.L1.norm_setToL1_le, HasDerivAtFilter.comp_hasFDerivAtFilter, MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one, Finset.analyticAt_fun_sum, MeromorphicAt.finsum, DoubleCentralizer.range_toProdMulOpposite, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, 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, HasFDerivWithinAt.of_local_left_inverse, setIntegral_withDensity_eq_setIntegral_smul₀, Complex.hasSum_taylorSeries_of_entire, ContinuousMap.toLp_denseRange, IsCovariantDerivativeOn.difference_apply, ProbabilityTheory.hasSum_integral_poissonMeasure, AnalyticOnNhd.compContinuousLinearMap, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_ae, intervalIntegral.intervalIntegral_eq_integral_uIoc, ZLattice.covolume_eq_det_inv, ContinuousLinearMap.integral_apply, 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, OpenPartialHomeomorph.hasStrictFDerivAt_symm, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, MDifferentiableAt.sum, ContinuousLinearMap.comp_memLp, Complex.tsum_exp_neg_mul_int_sq, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, Real.fderiv_fourierChar_neg_bilinear_right_apply, ContMDiffCovariantDerivativeOn.affine_combination, LinearMap.orthogonal_ker, SchauderBasis.tendsto_proj, ProbabilityTheory.isGaussian_multivariateGaussian, LinearMap.IsSymmetric.diagonalization_apply_self_apply, LinearMap.IsPositive.re_inner_nonneg_right, Memℓp.const_smul, Real.fourier_continuousLinearMap_apply, Unitization.real_cfcₙ_eq_cfc_inr, norm_iteratedFDeriv_comp_le', ProbabilityTheory.IndepFun.charFunDual_map_fun_add_eq_mul, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', VectorField.mpullbackWithin_add, SchauderBasis.proj_zero, intervalIntegral.fderiv_integral_of_tendsto_ae, Submodule.starProjection_orthogonal', RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, HasFDerivWithinAt.clm_apply, 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, HasFPowerSeriesOnBall.unshift, 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', Module.Dual.extendRCLikeₗ_symm_apply, MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, tangentMap_snd, iteratedDerivWithin_vcomp_two, EuclideanGeometry.Sphere.inter_orthRadius_eq_of_dist_le_radius, 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, ProbabilityTheory.covarianceBilin_multivariateGaussian, 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, RKHS.coe_add, HasFTaylorSeriesUpTo.hasFDerivAt, HasFDerivAtFilter.fun_sum, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, LinearMap.singularValues_zero, norm_iteratedFDerivWithin_clm_apply, ContMDiffWithinAt.mfderivWithin_const, MeasureTheory.Measure.toSphere_apply_aux, Orientation.neg_rotation, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, HasFDerivAtFilter.sub, Unitization.splitMul_apply, GaussianFourier.integral_cexp_neg_mul_sq_norm, tendsto_integral_peak_smul_of_integrable_of_tendsto, ContMDiffOn.clm_postcomp, inner_eq_norm_mul_iff, Bundle.Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm, ContinuousMap.Homotopy.curveIntegral_add_curveIntegral_eq_of_hasFDerivWithinAt, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, Sbtw.oangle_eq_add_pi_left, Measurable.apply_continuousLinearMap, 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, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay_of_summable, Matrix.toLinearMap_tracePositiveLinearMap, Submodule.orthogonalProjection_mem_subspace_eq_self, ContinuousLinearMap.IsPositive.inner_nonneg_right, Differentiable.fun_smul, DoubleCentralizer.zero_snd, LeftInvariantDerivation.left_invariant', TemperedDistribution.fourierMultiplierCLM_smul, 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, LinearEquiv.extend_eq, 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, norm_iteratedFDerivWithin_comp_le_aux, AddCircle.toCircle_add, intervalIntegral.integral_deriv_smul_comp', 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, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, 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, fderiv_clm_comp, intervalIntegral.integral_comp_mul_sub, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, OrthogonalFamily.of_pairwise, GeneralSchauderBasis.tendsto_proj, IsConformalMap.is_complex_or_conj_linear, fderiv_continuousAlternatingMap_apply_const, HasStrictFDerivAt.finCons, MeasureTheory.L1.SimpleFunc.setToL1SCLM_const, derivWithin_comp_const_sub, IsHilbertSum.linearIsometryEquiv_symm_apply, SmoothBumpCovering.exists_immersion_euclidean, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, OrderedFinpartition.norm_applyOrderedFinpartition_le, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, hasSum_coe_mul_geometric_of_norm_lt_one', Submodule.starProjection_singleton, HasFPowerSeriesAt.eventually_hasSum, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, mfderiv_comp_apply_of_eq, ContinuousLinearMap.comp_condExp_add_const_comm, ContDiffMapSupportedIn.seminorm_fderivLM_le, torusIntegral_add, RKHS.coe_smul, ContDiffMapSupportedIn.seminorm_fderivLM_top, 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, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, addInvariantVectorField_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, Module.Basis.exists_opNorm_le, ClosedSubmodule.mem_orthogonal', meromorphicOrderAt_add_of_ne, ContinuousLinearMap.ker_le_ker_iff_range_le_range, fourierIntegral_gaussian_innerProductSpace', ProbabilityTheory.integral_gaussianReal_eq_integral_smul, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, GeneralSchauderBasis.proj_apply, AnalyticOn.iteratedFDerivWithin, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two, extDerivWithin_pullback, derivWithin_fun_const_smul_field, DifferentiableOn.clm_apply, ContMDiff.clm_apply, MeasureTheory.Measure.instIsAddLeftInvariantMeasure, MeasureTheory.IntegrableOn.smul_continuousOn, LinearMap.continuous_of_seq_closed_graph, 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', TestFunction.monoCLM_eq_zero, TopologicalGroup.IsSES.integral_inducedMeasure, Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two, iteratedDerivWithin_tsum_cexp_eq, hasDerivAt_star_conj_iff, fourierCoeff.sum, ContinuousLinearEquiv.coe_toDiffeomorph_symm, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, TensorProduct.ext_iff_inner_right_threefold', FormalMultilinearSeries.hasSum_of_finite, CurveIntegrable.zero, ContinuousMultilinearMap.contDiffAt, ProbabilityTheory.hasGaussianLaw_iff_charFun_map_eq, AddCircle.isAddFundamentalDomain_of_ae_ball, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, 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, integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable_aux1, 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, ProbabilityTheory.HasGaussianLaw.toLp_pi, 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, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, Submodule.sub_mem_orthogonal_of_inner_left, 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, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, LinearIsometryEquiv.conjStarAlgEquiv_apply, MeasureTheory.smul_convolution, Bundle.ContinuousLinearMap.vectorBundle, Real.vector_fourierIntegral_eq_integral_exp_smul, ContinuousLinearMap.isCompact_image_coe_of_bounded_of_closed_image, VectorField.mlieBracketWithin_const_smul_right, PadicInt.mahlerTerm_apply, iteratedFDerivWithin_comp_add_right', HasFDerivAt.le_of_lipschitzOn, MDifferentiable.sum, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.ConvolutionExistsAt.integrable, LinearMap.ker_self_comp_adjoint, Complex.taylorSeries_eq_of_entire, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.fourier_real_eq_integral_exp_smul, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, 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, HasFiniteFPowerSeriesOnBall.sum, HasStrictFDerivAt.const_mul, MeasureTheory.L1.integral_smul, Distribution.IsVanishingOn.smulLeftCLM, MeasureTheory.Measure.toSphere_real_apply_univ, DifferentiableOn.smul_const, LinearMap.IsSymmetricProjection.ext_iff, ConvexOn.univ_sSup_of_countable_affine_eq, Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzCone, RCLike.hasSum_ofReal, HasFDerivWithinAt.fst, norm_iteratedFDeriv_clm_apply, 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, InnerProductSpace.gramSchmidtNormed_linearIndependent, HasFDerivAt.finset_prod, ContinuousLinearMap.ofMemClosureImageCoeBounded_apply, SchwartzMap.fderivCLM_apply, ContinuousLinearMap.smul_compLp, difference_quotients_converge_uniformly, Submodule.norm_starProjection_apply_le, Bundle.Trivialization.localFrame_coeff_congr, ContinuousLinearMap.contMDiff, ContinuousLinearMap.mdifferentiable, HasStrictFDerivAt.fun_sum, Meromorphic.finsum, HasSum.hasSum_at_zero, 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, FormalMultilinearSeries.taylorComp_sub_taylorComp_isBigO, 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, TemperedDistribution.fourierMultiplierCLM_compL_fourierMultiplierCLM, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, ContMDiffAt.clm_postcomp, Submodule.symmetric_isOrtho, scalarSMulCLE_symm_apply, Real.fourier_deriv, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, mdifferentiableWithinAt_iff_exists_hasMFDerivWithinAt, 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, Submodule.starProjection_tendsto_self, Orientation.volumeForm_map, MeasureTheory.Measure.addHaar_ball_of_pos, SchwartzMap.toLpCLM_apply, dist_birkhoffSum_birkhoffSum_le, LinearMap.IsSymmetric.directSum_decompose_apply, VectorBundleCore.localTriv_symmL, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_sum, ProbabilityTheory.iIndepFun.charFunDual_map_finset_sum_eq_prod, derivWithin.scomp, TangentBundle.symmL_trivializationAt_eq_core, DifferentiableOn.circleIntegral_sub_inv_smul, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, HasFDerivAt.continuousMultilinear_apply_const, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, HasFDerivWithinAt.continuousAlternatingMap_apply, 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, FormalMultilinearSeries.sum_of_finite, ModularForm.prod_slash_sum_weights, MeasureTheory.convolution_tendsto_right, summable_sum_mul_range_of_summable_norm', Submodule.reflection_singleton_apply, MeasureTheory.condExpIndL1Fin_add, smul_unitClosedBall_of_nonneg, HasFTaylorSeriesUpToOn.zero_eq', fderiv_sum, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, SchauderBasis.range_proj_eq_span, MeasureTheory.SimpleFunc.setToSimpleFunc_const, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, interior_convexHull_nonempty_iff_affineSpan_eq_top, DifferentiableWithinAt.fderivWithin_prodMk, isIntegralCurveAt_comp_mul_ne_zero, ContinuousMultilinearMap.fin0_apply_enorm, HasStrictDerivAt.clm_comp, 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', ContDiffMapSupportedIn.monoLM_apply, 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, derivWithin_clm_comp, differentiableAt_smul_iff, DoubleCentralizer.nnnorm_snd, IsSelfAdjoint.adjoint_eq, Submodule.finrank_add_finrank_orthogonal', Bundle.Pretrivialization.continuousLinearMap_apply, OnePoint.isBoundedAt_iff_forall_SL2Z, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', HasStrictFDerivAt.star, LinearMap.isHermitian_toMatrix_iff, Module.Basis.parallelepiped_reindex, Submodule.reflection_apply, Real.circleAverage_sum, curveIntegralFun_segment, ZMod.completedLFunction_def_even, HasDerivWithinAt.clm_apply, SchwartzMap.integral_fourierInv_smul_eq, Memℓp.star_mem, SlashInvariantForm.quotientFunc_smul, RKHS.kernel_apply, HasDerivAt.finCons, RCLike.reCLM_norm, IsCoercive.unique_continuousLinearEquivOfBilin, Besicovitch.SatelliteConfig.exists_normalized_aux2, differentiable_finCons', Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, HasDerivAtFilter.add, curveIntegral_neg, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, ZLattice.comap_discreteTopology, 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, MDifferentiable.clm_postcomp, ModularForm.tsum_logDeriv_eta_q, InnerProductSpace.gramSchmidt_def, EisensteinSeries.summable_left_one_div_linear_sub_one_div_linear, HasFDerivAt.star, LinearMap.ker_adjoint_comp_self, CStarMatrix.toCLM_injective, iteratedFDerivWithin_succ_const, MeasureTheory.condExp_bilin_of_aestronglyMeasurable_right, 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, ProbabilityTheory.iIndepFun.charFunDual_map_fun_sum_eq_prod, Unitization.sqrt_inr, UniqueDiffWithinAt.smul, Unitary.linearIsometryEquiv_coe_apply, LDL.lowerInv_eq_gramSchmidtBasis, ContinuousLinearMap.coe_equivProdOfSurjectiveOfIsCompl, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, EuclideanGeometry.angle_vadd_const, hasStrictFDerivAt_pi', HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, HasFDerivAtFilter.neg, Submodule.starProjection_inner_eq_zero, 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, Bundle.Trivialization.localFrame_coeff_eq_coeff, TopologicalGroup.IsSES.pushforward_def, fourier_gaussian_innerProductSpace, SchwartzMap.fourierMultiplierCLM_compL_fourierMultiplierCLM, Real.fourierIntegral_continuousMultilinearMap_apply, ProbabilityTheory.HasGaussianLaw.smul, LinearPMap.adjointAux_unique, 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, VectorField.mpullback_const_smul_apply, TensorProduct.mapIsometry_id_id, ContinuousAlternatingMap.toAlternatingMap_curryLeft, ProbabilityTheory.HasGaussianLaw.neg, 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, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, InnerProductSpace.harmonicOnNhd_comp_CLE_iff, sameRay_iff_inv_norm_smul_eq_of_ne, CuspForm.coe_trace, EisensteinSeries.e2Summand_summable, AlternatingMap.bound_of_shell, norm_sum_lt_of_strictConvexSpace, UniformConvexOn.strictConvexOn, TemperedDistribution.smulLeftCLM_neg, tendstoUniformly_tsum_of_cofinite_eventually, Orthonormal.basisTensorProduct, 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, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, DoubleCentralizer.toProdMulOpposite_injective, deriv_const_add', RCLike.conjCLE_apply, HasStrictFDerivAt.eq_implicitFunctionOfComplemented, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, MeasureTheory.Measure.quasiMeasurePreserving_smul, ContMDiffAt.mfderiv_apply, hasFDerivAt_snd, HasFTaylorSeriesUpTo.fderiv_eq, Complex.cexp_tsum_eq_tprod, 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.exists_lt_apply_of_lt_opNNNorm, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, Orientation.rightAngleRotation_def, TestFunction.fderivCLM_ofSupportedIn, ImplicitFunctionData.range_leftDeriv, HasFDerivAt.fun_smul, Function.HasTemperateGrowth.toTemperedDistribution_apply, Euclidean.closedBall_eq_image, summable_finset_prod_of_summable_norm, DifferentiableAt.continuousAlternatingMap_apply_const, ContinuousMultilinearMap.uncurrySum_apply, IsIntegralCurveOn.comp_mul, NumberField.mixedEmbedding.negAt_preimage, LinearMap.IsSymmetricProjection.sub_of_range_le_range, LinearMap.IsSymmetric.conj_adjoint, HasLineDerivAt.tendsto_slope_zero_right, ZLattice.comap_toAddSubgroup, NormedSpace.expSeries_summable, fderiv_continuousAlternatingMapCompContinuousLinearMap, Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, RCLike.wInner_cWeight_eq_expect, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_apply, 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, MeasureTheory.L1.setToL1_smul_left, 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.L1.setToL1_zero_left, MeasureTheory.withDensityᵥ_add', LeftInvariantDerivation.lift_add, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, ContinuousLinearMap.integrableAtFilter_comp, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, EisensteinSeries.G2_slash_action, WithLp.unitization_algebraMap, ProbabilityTheory.covarianceBilin_apply_basisFun_self, IsSelfAdjoint.isSymmetric, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.condExpInd_nonneg, HasFDerivAt.restrictScalars, StrictConvex.extremePoints_eq_diff_interior, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, ContinuousLinearMap.fpowerSeries_apply_zero, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux, EuclideanGeometry.dist_orthogonalProjection_eq_of_oangle_eq, Complex.taylorSeries_eq_on_ball', Orientation.areaForm_to_volumeForm, lp.evalₗ_apply, stereoInvFunAux_apply, StrongFEPair.functional_equation, Submodule.finrank_add_inf_finrank_orthogonal, VectorPrebundle.mk_contMDiffCoordChange, Submodule.exists_add_mem_mem_orthogonal, extDerivWithin_constOfIsEmpty, Complex.summable_conj, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, ContinuousLinearMap.norm_iteratedFDerivWithin_comp_left, HasFDerivAtFilter.isThetaTVS_sub, HasStrictFDerivAt.arsinh, ContinuousLinearEquiv.coeFn_ofBijective, MeasureTheory.withDensityᵥ_neg', PeriodPair.latticeBasis_zero, ContinuousLinearMap.integral_comp_comm', 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, HasFDerivWithinAt.isThetaTVS_sub, Manifold.IsImmersionAtOfComplement.map_target_subset_target, Complex.starConvex_one_slitPlane, Asymptotics.IsEquivalent.add_isLittleO, ContinuousLinearMapWOT.inducingFn_apply, TemperedDistribution.instLineDerivLeftSMulReal, LindemannWeierstrass.exp_polynomial_approx, norm_iteratedFDerivWithin_clm_apply_const, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, CStarMatrix.inner_toCLM_conjTranspose_left, Orientation.areaForm_neg_orientation, MeasureTheory.iteratedFDeriv_charFun, AffineBasis.interior_convexHull, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_sum, EuclideanGeometry.inversion_vsub_center, Filter.EventuallyEq.ftaylorSeries, 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, 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, ContinuousLinearMap.exists_lt_apply_of_lt_opNorm, mfderivWithin_comp_projIcc_one, conformalAt_const_smul, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, InnerProductGeometry.tan_angle_add_mul_norm_of_inner_eq_zero, Bundle.Trivialization.coe_continuousLinearEquivAt_eq, 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, Real.fourier_iteratedFDeriv, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, HasDerivAt.add, SchwartzMap.smulLeftCLM_real_smul, Real.dimH_univ_eq_finrank, LinearMap.exists_map_addHaar_eq_smul_addHaar, Submodule.le_orthogonal_orthogonal, MeasureTheory.Measure.integral_comp_inv_mul_left, ContDiffBump.measure_closedBall_div_le_integral, HasMFDerivAt.smul, 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, integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable, MDifferentiableAt.clm_prodMap, InnerProductSpace.HarmonicOnNhd.comp_CLM, ZLattice.rank, Orientation.oangle_sign_sub_smul_right, ZLattice.tsum_norm_rpow_le, 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, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, Orientation.oangle_smul_left_self_of_nonneg, UnitAddTorus.mFourierCoeff_toLp, Manifold.pathELength_def, iteratedDerivWithin_const_add, PeriodPair.hasSum_derivWeierstrassP, Differentiable.finCons, Orientation.areaForm_swap, curveIntegral_fun_smul, MeasureTheory.integral_biUnion_finset, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, 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, MeasureTheory.Lp.edist_eq_eLpNorm_neg_add, ext_inner_map, ProbabilityTheory.covarianceOperator_zero, ContinuousMultilinearMap.curryRight_norm, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, deriv_fun_smul, Submodule.instHasOrthogonalProjectionOfCompleteSpace, iteratedFDeriv_comp_const_smul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left', InnerProductSpace.unique_continuousLinearMapOfBilin, DifferentiableAt.const_add, FDerivMeasurableAux.norm_sub_le_of_mem_A, HasFDerivAt.add, ContinuousLinearMap.deriv, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, MeasureTheory.convolution_lsmul, MDifferentiableAt.clm_postcomp, PeriodPair.hasSumLocallyUniformly_derivWeierstrassP, Submodule.orthogonal_orthogonal_monotone, Complex.sameRay_of_arg_eq, fderiv_continuousAlternatingMap_apply, SlashInvariantForm.coe_translate, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, TemperedDistribution.laplacian_eq_fourierMultiplierCLM, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, curveIntegral_fun_zero, ContDiffWithinAt.continuousWithinAt_iteratedFDerivWithin, ContDiffMapSupportedIn.monoLM_eq_of_scalars, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, LinearMap.nonneg_iff_isPositive, iteratedFDeriv_zero, 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, Matrix.exp_add_of_commute, cauchyPowerSeries_apply, summable_eisSummand, Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_pi, MeasureTheory.condExp_smul_of_aestronglyMeasurable_right, HasFDerivAt.sum, DifferentiableAt.const_smul, ContinuousLinearMap.isClosed_image_coe_closedBall, DoubleCentralizer.central, ModelWithCorners.hasMFDerivAt, MeasureTheory.MemLp.star, Matrix.PosSemidef.det_sqrt, MeasureTheory.integral_condExpL2_eq, IsCovariantDerivativeOn.torsion_self, HasFPowerSeriesOnBall.coeff_zero, ContinuousLinearMap.instStarOrderedRing, BoxIntegral.HasIntegral.smul, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, TemperedDistribution.instFourierSMul, Memℓp.summable_of_one, 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, fun_meromorphicOrderAt_smul, HasMFDerivWithinAt.prodMap, SameRay.inv_norm_smul_eq, TestFunction.limitCLM_apply, VectorField.pullbackWithin_eq_of_fderivWithin_eq, 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, HasFDerivAt.clm_apply, ContDiffMapSupportedIn.seminorm_le_iff, OrthogonalFamily.isInternal_iff_of_isComplete, eventually_norm_mfderivWithin_symm_extChartAt_lt, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, ContinuousLinearMap.hasDerivAt, DifferentiableAt.star_conj, ContinuousLinearMap.antilipschitz_of_isEmbedding, 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, extDerivWithin_add, CompletelyPositiveMap.instLinearMapClassComplex, EulerProduct.eulerProduct_hasProd, ClosedSubmodule.inner_real_eq_re_inner, Module.Basis.coe_toOrthonormalBasis_repr, iteratedFDeriv_sum, LinearMap.IsPositive.inner_nonneg_left, tensorIteratedFDerivWithinTwo_eq_iteratedFDerivWithin, MeasureTheory.setToFun_add_left', EuclideanGeometry.oangle_pointReflection_left, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, HasFDerivAt.continuousAlternatingMap_apply, iteratedFDerivWithin_comp_add_left, MeasureTheory.convolution_precompR_apply, MDifferentiableAt.add, ContinuousLinearMap.instCStarRingId, NormedSpace.eq_zero_iff_forall_dual_eq_zero, SchwartzMap.compSubConstCLM_apply, hasFDerivAt_finCons, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, VectorFourier.fourierIntegral_iteratedFDeriv, HasMFDerivWithinAt.neg, TopologicalAddGroup.IsSES.pushforward_apply_apply, hasFDerivWithinAt_finCons, norm_injOn_ray_right, UnconditionalSchauderBasis.enorm_proj_le_enormProjBound, 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, HasStrictFDerivAt.fst, ArithmeticFunction.vonMangoldt.residueClass_apply, MeasureTheory.lpNorm_add_le, FormalMultilinearSeries.taylorComp_sub_taylorComp_isLittleO, FormalMultilinearSeries.continuousOn_of_finite, LinearMap.isSymmetric_self_comp_adjoint, ContinuousLinearMap.coe_equivRange, Matrix.PosSemidef.trace_eq_zero_iff, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, ContinuousLinearMap.interior_preimage, 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, Submodule.norm_eq_iInf_iff_inner_eq_zero, HasDerivWithinAt.fun_pow', PeriodPair.analyticOnNhd_derivWeierstrassPExcept, AddCircle.ergodic_nsmul_add, MeasureTheory.integral_singleton', LinearMap.exists_antilipschitzWith, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Orientation.volumeForm_zero_pos, RKHS.isHermitian_kernel, MeasureTheory.L1.setToL1_mono_left', Real.Angle.cos_add_pi, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, hasSum_mellin, HasFDerivWithinAt.const_smul, MeasureTheory.L1.SimpleFunc.setToL1S_add_left', 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, DirectSum.IsInternal.subordinateOrthonormalBasis_subordinate, hasDerivAt_tsum_of_isPreconnected, Matrix.gram_eq_conjTranspose_mul, Real.Angle.cos_add_pi_div_two, MeasureTheory.charFunDual_prod, ContinuousLinearMap.measurable_apply₂, IsLocalFrameOn.coeff_congr, continuousOn_tangentCoordChange, ContMDiffCovariantDerivativeOn.finite_affine_combination, Real.Angle.two_nsmul_eq_zero_iff, nnnorm_cfcₙ_nnreal_lt, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, HasFDerivAt.comp_hasFDerivWithinAt, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, lp.hasSum_single, FiniteDimensional.RCLike.properSpace_submodule, fderivWithin_continuousAlternatingMap_apply_const_apply, MeasureTheory.setToFun_smul_left', EuclideanGeometry.dist_orthogonalProjection_eq_of_two_zsmul_oangle_eq, Real.Angle.coe_add, Function.hasTemperateGrowth_iff_isBigO, range_stereographic_symm, EisensteinSeries.G2_eq_tsum_symmetricIco, Complex.equivRealProdCLM_symm_apply, ContinuousLinearMap.norm_eq_iSup_rayleighQuotient, MeasureTheory.integral_smul, Complex.cos_eq_tsum', MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left', 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, HasStrictFDerivAt.to_implicitFunctionOfComplemented, ZSpan.measureReal_fundamentalDomain, EuclideanGeometry.orthogonalProjection_apply', SmoothPartitionOfUnity.contDiffAt_finsum, ContMDiffAt.smul, isOpenEmbedding_stereographic_symm, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, GeneralSchauderBasis.expansion, 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, IsCovariantDerivativeOn.smul_const, isBigO_rpow_top_log_smul, HasDerivAtFilter.fun_add, differentiableAt_star_iff, ContinuousMap.Homotopy.curveIntegral_add_curveIntegral_eq_of_hasFDerivWithinAt_off_countable, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, MeromorphicAt.sum, PeriodPair.basis_zero, mfderiv_prod_eq_add_comp, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, 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, DifferentiableWithinAt.continuousAlternatingMap_apply_const, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_add, 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, RKHS.posSemidef_tfae, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, MeasureTheory.integral_comp_rpow_Ioi_of_pos, EulerProduct.eulerProduct, EisensteinSeries.summable_of_isBigO_rpow_norm, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left', Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, SchwartzMap.toBoundedContinuousFunctionCLM_apply, hasSum_jacobiTheta₂_term, extDeriv_apply_vectorField, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, curveIntegral_segment, TestFunction.postcompCLM_apply, Bundle.Trivialization.continuousLinearEquivAt_apply', HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorphOfComplemented_target, hasFDerivAt_jacobiTheta₂_term, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, AddCircle.exists_norm_nsmul_le, CovariantDerivative.torsion_apply, Real.fourierIntegral_continuousLinearMap_apply, Submodule.starProjection_top', ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, HasFDerivWithinAt.abs_of_neg, OrthonormalBasis.toBasis_mulOpposite, Submodule.adjoint_subtypeL, IsCovariantDerivativeOn.torsion_antisymm, 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, ZLattice.tsumNormRPowBound_spec, RCLike.summable_ofReal, LinearIsometryEquiv.reflections_generate_dim_aux, HasFDerivWithinAt.fun_smul, MeasureTheory.L1.setToL1_eq_setToL1SCLM, PadicInt.mahlerSeries_apply_nat, intervalIntegral.integral_deriv_comp_smul_deriv', MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, VectorField.mpullback_add_apply, AnalyticOn.compContinuousLinearMap, MeasureTheory.convolution_def, Affine.Triangle.dist_circumcenter_reflection_orthocenter, HasStrictFDerivAt.prodMk, MeasureTheory.norm_condExpL2_coe_le, ContMDiffFiberwiseLinear.locality_aux₂, 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, MDifferentiableWithinAt.cle_arrowCongr, RCLike.imLm_coe, ContinuousLinearMap.exists_approx_preimage_norm_le, ContinuousMultilinearMap.uncurry0_norm, MeasureTheory.L1.setToL1_nonneg, ContDiffOn.continuousOn_iteratedFDerivWithin, circleIntegral.integral_add, FDerivMeasurableAux.D_subset_differentiable_set, openSegment_subset_ball_of_ne, hasMFDerivWithinAt_inr, HasFPowerSeriesWithinOnBall.prod, LinearMap.IsSymmetric.isSelfAdjoint, NormedSpace.normalize_smul, MDifferentiableWithinAt.clm_precomp, IsBoundedBilinearMap.differentiableOn, HasDerivAt.fun_add, SchwartzMap.fourierMultiplierCLM_sum, MeasureTheory.integrable_withDensity_iff_integrable_smul', FDerivMeasurableAux.differentiable_set_eq_D, ContinuousLinearMap.isClosed_image_coe_of_bounded_of_weak_closed, 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, IsBoundedBilinearMap.fderivWithin, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Bundle.Trivial.linearMapAt_trivialization, isAddFundamentalDomain_Ioc, QuotientGroup.integral_eq_integral_automorphize, 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, ClosedSubmodule.orthogonal_le, 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, Submodule.orthogonalProjection_mem_subspace_orthogonalComplement_eq_zero, 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, RKHS.kerFun_apply, Matrix.linfty_opNNNorm_toMatrix, HasFTaylorSeriesUpToOn.cont, HurwitzZeta.hasSum_int_cosKernel, inCoordinates_apply_eq₂, ZMod.completedLFunction_def_odd, extDeriv_extDeriv, ContDiffAt.contDiffAt_norm_smul, Real.fourier_real_eq, AnalyticOnNhd.fderiv_of_isOpen, Bundle.Trivialization.comp_continuousLinearEquivAt_eq_coord_change, MeasureTheory.setToFun_smul, FormalMultilinearSeries.id_comp', LinearIndependent.eventually, Asymptotics.IsEquivalent.smul, differentiableAt_apply, NormedSpace.expSeries_hasSum_exp, MeasureTheory.L1.integral_def, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, contDiffOn_infty_iff_fderivWithin, FormalMultilinearSeries.hasSum, ContinuousLinearMap.IsPositive.conj_adjoint, tangentMapWithin_snd, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, Matrix.toEuclideanCLM_toLp, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_add, 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, MeasureTheory.L1.SimpleFunc.setToL1S_smul_real, 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, SchauderBasis.finrank_range_proj, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, 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, ClosedSubmodule.mulI_sup, HasFPowerSeriesOnBall.fderiv, LinearMap.adjoint_rTensor, Real.Angle.coe_coeHom, ZSpan.measure_fundamentalDomain, MeasureTheory.setIntegral_countable, convex_halfSpace_im_gt, ContMDiffOn.clm_precomp, hasGradientAt_iff_isLittleO_nhds_zero, BoundedContinuousFunction.toLp_inj, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, contDiffOn_nat_iff_continuousOn_differentiableOn, LinearMap.IsPositive.add, ProbabilityTheory.HasGaussianLaw.add, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, measurableSet_of_differentiableAt_of_isComplete, GaussianFourier.integrable_cexp_neg_mul_sum_add, HilbertBasis.hasSum_orthogonalProjection, ContinuousLinearMap.isUnit_of_forall_le_norm_inner_map, LinearMap.adjoint_inner_right, Complex.hasStrictFDerivAt_cpow, HasStrictFDerivAt.of_local_left_inverse, 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', fderivWithin_continuousMultilinear_apply_const_apply, 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, fun_iteratedFDerivWithin_add_apply, 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, mfderivWithin_extChartAt_symm_inverse_apply, MeasureTheory.Measure.integral_comp_smul, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, IsSelfAdjoint.hasEigenvector_of_isMaxOn, InnerProductSpace.HarmonicOnNhd.add, mdifferentiableAt_hom_bundle, HasFPowerSeriesWithinOnBall.unshift, setIntegral_withDensity_eq_setIntegral_smul₀', innerSL_inj, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, PositiveLinearMap.preGNS_inner_def, MeasureTheory.condExpIndSMul_smul, StandardSubspace.IsSeparating, hasDerivAt_add_const_iff, LSeries_eq_mul_integral_of_nonneg, MeasureTheory.Measure.hausdorffMeasure_smul₀, MeasureTheory.ae_ae_add_linearMap_mem_iff, differentiableAt_star_conj_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, MeasureTheory.condExp_bilin_of_aestronglyMeasurable_left, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, HasFPowerSeriesOnBall.compContinuousLinearMap, DoubleCentralizer.add_fst, MeasureTheory.integrableOn_Icc_deriv_smul_iff_of_deriv_nonpos, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', MeasureTheory.Lp.dist_eq_eLpNorm_neg_add, HasStrictFDerivAt.const_cpow, MeasureTheory.L1.setToFun_eq_setToL1, 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, extDerivWithin_extDerivWithin_eqOn, DifferentiableOn.add_const, GeneralSchauderBasis.proj_apply_basis_mem, hasFDerivAt_apply, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, cfcₙAux_id, riemannZeta_eulerProduct_exp_log, Bundle.Trivialization.continuousLinearEquivAt_prod, 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, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, HasFDerivAt.abs, MeasureTheory.L1.integral_eq_setToL1, Convex.second_derivative_within_at_symmetric, Bundle.Trivialization.prod_apply', ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, ContinuousLinearMap.isPositive_toLinearMap_iff, BoxIntegral.BoxAdditiveMap.volume_apply, ProbabilityTheory.HasGaussianLaw.fun_smul, 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, ProbabilityTheory.iIndepFun.hasGaussianLaw_add, InnerProductSpace.toDual_apply, AddCircle.ergodic_add_right, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', HasLineDerivAt.tendsto_slope_zero, ContinuousLinearMap.norm_map_of_mem_unitary, 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, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, 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, SchwartzMap.postcompCLM_apply, 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, TemperedDistribution.fourierMultiplierCLM_fourierMultiplierCLM_apply, MeasureTheory.L1.setToL1_add_left', Submodule.norm_orthogonalProjection_apply_le, Finsupp.inner_sum, LinearMap.deriv, VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas, HasStrictFDerivAt.map_implicitFunction_eq, 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, fderivWithin.snd, iteratedDerivWithin_const_smul_field, tendstoUniformlyOn_tsum, DifferentiableWithinAt.fun_sum, Bundle.Pretrivialization.continuousLinearMap.isLinear, MeasureTheory.integral_Icc_deriv_smul_of_deriv_nonneg, LinearMap.IsSymmetric.adjoint_conj, hasFDerivWithinAt_finCons', VectorBundleCore.trivializationAt_continuousLinearMapAt, MeasureTheory.L1.setToL1_mono_left, TangentBundle.coordChange_model_space, fun_iteratedFDeriv_add, 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, fun_iteratedFDeriv_sub, ContDiffMapSupportedIn.seminorm_monoLM_le, intervalIntegral.integral_comp_smul_deriv'', WeakFEPair.Λ₀_eq, fdifferential_apply, FiberwiseLinear.trans_openPartialHomeomorph_apply, HasFPowerSeriesWithinOnBall.sum, 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, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply_ker, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, AddCircle.volume_of_add_preimage_eq, Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two, HasLineDerivWithinAt.smul, HasStrictDerivAt.sum, FormalMultilinearSeries.apply_eq_pow_smul_coeff, fderivWithin_continuousMultilinear_apply_const, FormalMultilinearSeries.le_radius_compContinuousLinearMap, continuousMultilinearCurryFin0_symm_apply, MeasureTheory.setIntegral_condExpIndSMul, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, ContinuousLinearEquiv.integrable_comp_iff, MeasureTheory.weightedSMul_empty, AnalyticWithinAt.add, MeasureTheory.SimpleFunc.setToSimpleFunc_add, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, Affine.Simplex.mongePlane_def, ContinuousLinearMap.coe_ofSeqClosedGraph, Matrix.isSymmetric_toEuclideanLin_iff, Orientation.oangle_add_oangle_rev, MDifferentiableOn.coordChangeL, PeriodPair.weierstrassPExcept_eq_tsum, VectorField.lieBracketWithin_smul_left, Submodule.norm_eq_iInf_iff_real_inner_eq_zero, VectorField.mlieBracketWithin_const_smul_left, ContinuousLinearMap.IsPositive.isSymmetric, MeasureTheory.indicatorConstLp_univ, HasStrictFDerivAt.clog, fderiv_fun_add, FormalMultilinearSeries.compAlongComposition_bound, HasFiniteFPowerSeriesOnBall.comp_sub, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, TemperedDistribution.fourierMultiplierCLM_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, SchwartzMap.lineDeriv_eq_fourierMultiplierCLM, HasStrictDerivAt.smul, intervalIntegral.integral_comp_add_mul, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn_real, ContinuousLinearMap.closed_complemented_range_of_isCompl_of_ker_eq_bot, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, hasDerivAt_tsum, AnalyticAt.fun_smul, hasFTaylorSeriesUpToOn_top_iff', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, MeasureTheory.setIntegral_rnDeriv_smul, inTangentCoordinates_eq, extDerivWithin_apply_vectorField_of_pairwise_commute, ContinuousLinearMap.rayleighQuotient_zero_apply, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, HasStrictFDerivAt.sqrt, Monotone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, HasDerivWithinAt.complexToReal_fderiv, ContinuousLinearMap.equivRange_symm_apply, Real.tsum_eq_tsum_fourier_of_rpow_decay_of_summable, LinearMap.adjoint_comp_self_injective_iff, LinearMap.IsSymmetric.continuous, IsContMDiffRiemannianBundle.exists_contMDiff, MeasureTheory.Lp.norm_const_le, DiffContOnCl.circleIntegral_one_div_sub_center_pow_smul, ProbabilityTheory.IsGaussianProcess.restrict, 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, ContMDiffOn.cle_arrowCongr, HasDerivWithinAt.scomp_of_eq, Module.Basis.coe_toOrthonormalBasis_repr_symm, MDifferentiableAt.const_smul, LinearMap.toSeminorm_comp, Submodule.isOrtho_top_left, MeasureTheory.SimpleFunc.integral_add_measure, Convex.taylor_approx_two_segment, MDifferentiableOn.clm_prodMap, 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, iteratedFDeriv_tsum, ContinuousLinearMap.adjointAux_apply, ContinuousLinearMap.nonneg_iff_isPositive, OrthogonalFamily.isInternal_iff, integral_comp_polarCoord_symm, coe_lpBCFₗᵢ, hasSum_sum_range_mul_of_summable_norm', ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, Asymptotics.IsBigO.comp_summable, Real.Angle.sin_eq_iff_coe_eq_or_add_eq_pi, Submodule.linearEquiv_det_reflection, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, HasFPowerSeriesAt.comp_sub, fderivWithin_fun_mul', PeriodPair.differentiableOn_derivWeierstrassP, ProbabilityTheory.IsGaussianProcess.comp_left, ProperCone.innerDual_singleton, PeriodPair.weierstrassPExcept_def, VonNeumannAlgebra.coe_mk, Submodule.IsOrtho.map, differentiable_inner, HasFPowerSeriesWithinOnBall.sub, TemperedDistribution.fourierMultiplierCLM_const, HasLineDerivAt.tendsto_slope_zero_left, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, HasFDerivWithinAt.prodMk, LDL.lower_conj_diag, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', HurwitzZeta.hasSum_int_cosZeta, hasFDerivAt_integral_of_dominated_loc_of_lip', Submodule.toLinearMap_starProjection_eq_isComplProjection, DifferentiableOn.fun_const_smul, RKHS.kerFun_dense, VectorField.mpullback_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, LinearMap.singularValues_eq_zero_iff, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, 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, Real.pow_mul_norm_iteratedFDeriv_fourier_le, 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, HasFTaylorSeriesUpTo.tsupport_mono, 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, ProbabilityTheory.IsGaussian.charFunDual_eq_of_forall_strongDual_eq_zero, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, fderiv_const_add, fderiv_mul', MeasureTheory.eLpNorm_star, hasFDerivWithinAt_const_add_iff, Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, fderivWithin_const_smul_of_field, ProbabilityTheory.covarianceBilin_comm, HasStrictFDerivAt.ccos, LinearEquiv.extendOfIsometry_symm_eq, ContinuousMap.toLp_def, ContDiffAt.const_smul, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, VectorField.lieBracket_fmul_left, ContinuousLinearMap.IsIdempotentElem.isSymmetric_iff_orthogonal_range, 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, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, PositiveLinearMap.toPreGNS_ofPreGNS, Orientation.kahler_neg_orientation, FormalMultilinearSeries.radius_inv_eq_limsup, HasFDerivWithinAt.cexp, hasFDerivWithinAt_iff_hasDerivWithinAt, InnerProductSpace.HarmonicContOnCl.const_smul, 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'', HasStrictFDerivAt.hasStrictFDerivAt_implicitFunctionOfProdDomain, SchwartzMap.compCLMOfAntilipschitz_apply, ContinuousAlternatingMap.hasStrictFDerivAt, lp.coeFn_add, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', LinearIsometryEquiv.conjStarAlgEquiv_refl, CurveIntegrable.fun_zero, Complex.conjCLE_toLinearEquiv, HasDerivAt.tendsto_slope_zero_left, InnerProductSpace.laplacian_smul, MeasureTheory.setToFun_smul_left, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, derivWithin_fun_const_smul, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', DifferentiableAt.continuousAlternatingMap_apply, MeasureTheory.L1.setToL1_smul_left', SlashInvariantForm.slash_action_generators, 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, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorphOfComplemented_source, 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, StandardSubspace.IsCyclic, 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, Real.deriv_fourierIntegral, MeasureTheory.setToFun_add, 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', Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, 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, ContMDiffOn.clm_comp, ftaylorSeries_fun_zero, SchauderBasis.proj_apply, LinearMap.injective_iff_forall_lt_finrank_singularValues_pos, ContDiffWithinAt.smul, HasDerivAt.add_const, CovariantDerivative.affine_combination_toFun, hasFDerivAt_exp_smul_const', Bundle.Trivialization.continuousLinearMapAt_symmL, iteratedFDerivWithin_one_apply, ContDiffWithinAt.domDomCongr_iteratedFDerivWithin, normedAddGroupHomCompletionHom_apply, MeasureTheory.SignedMeasure.re_toComplexMeasure, TemperedDistribution.smulLeftCLM_sub, fromTangentSpace_mfderiv_smul', HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Submodule.isOrtho_iSup_left, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, IsCoercive.bounded_below, HurwitzZeta.hasSum_nat_cosZeta, SchwartzMap.postcompCLM_postcompCLM, 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, LinearMap.coe_complexOfReal, ContinuousLinearMap.aestronglyMeasurable_comp₂, differentiableWithinAt_comp_sub, DirectSum.IsInternal.collectedBasis_orthonormal, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, MeasureTheory.integral_fintype, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left, IsLocalMinOn.hasFDerivWithinAt_eq_zero, MDifferentiableOn.add, MeasureTheory.setToFun_indicator_const, LinearMap.toMatrix_innerₛₗ_apply, NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, Matrix.exp_sum_of_commute, HasFDerivAt.finCons, deriv_fun_add, strictConvexSpace_iff, intervalIntegral.smul_integral_comp_sub_mul, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, 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, ContinuousLinearMap.IsIdempotentElem.TFAE, TensorProduct.toLinearEquiv_commIsometry, fderiv_fun_sum, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, NumberField.mixedEmbedding.negAt_apply_isComplex, Complex.hasFDerivAt_cpow, ProbabilityTheory.isGaussian_iff_charFun_eq, Orientation.inner_rotation_pi_div_two_left_smul, LinearEquiv.extendOfIsometry_symm_apply, 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, MeasureTheory.setToFun_zero_left, LinearIsometry.norm_iteratedFDeriv_comp_left, HasStrictDerivAt.scomp_of_eq, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, HasStrictDerivAt.fun_finset_prod, fourierIntegral_eq_half_sub_half_period_translate, ContinuousLinearMap.equivRange_symm_toLinearEquiv, Submodule.orthogonal_gc, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2, fderiv_const_smul_of_invertible, Matrix.inner_toEuclideanCLM, IsLocalMax.hasFDerivAt_eq_zero, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, EuclideanGeometry.orthogonalProjection_vadd_eq_self, hasFDerivWithinAt_pow', HasFTaylorSeriesUpToOn.continuousLinearMap_comp, SchauderBasis.bddAbove_range_nnnorm_proj, MeasureTheory.condExpL1_add, hasStrictDerivAt_finCons', hasDerivWithinAt_taylorWithinEval_at_Icc, ProbabilityTheory.instIsGaussianDirac, ClosedSubmodule.orthogonal_orthogonal_monotone, dist_iteratedFDerivWithin_zero, curveIntegral_restrictScalars, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, HasFPowerSeriesOnBall.hasSum, ProbabilityTheory.iIndepFun.charFun_map_fun_sum_eq_prod, 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, TestFunction.lineDerivCLM_add, hasStrictDerivAt_finCons, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorph_target, HasFDerivAt.cexp, extDerivFun_zero, DoubleCentralizer.add_snd, intervalIntegral.integral_deriv_comp_smul_deriv, WeakDual.isBounded_iff_isVonNBounded, HasFDerivAt.ccos, MeasureTheory.norm_condExpInd_apply_le, ZLattice.summable_norm_rpow, hasFTaylorSeriesUpTo_top_iff', MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smul, norm_iteratedFDerivWithin_prod_le, fderivWithin_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul_apply', VectorField.leibniz_identity_mlieBracket, Convex.isLittleO_alternate_sum_square, Orientation.rotation_neg_orientation_eq_neg, rescale_to_shell, ContinuousLinearMap.rayleighQuotient_add, ContinuousMultilinearMap.contDiff, Matrix.instNonnegSpectrumClass, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_self, 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, HasFDerivAt.of_local_left_inverse, Affine.Triangle.dist_orthocenter_reflection_circumcenter, ContinuousLinearMap.isClosed_range_iff_antilipschitz_of_injective, 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, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, 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, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, VectorBundle.continuousLinearEquivAt_apply, differentiableOn_add_const_iff, DoubleCentralizer.norm_snd, Submodule.top_orthogonal_eq_bot, ConvexOn.sSup_of_nat_affine_eq, PeriodPair.summable_weierstrassPSummand, Submodule.fst_orthogonalDecomposition_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, Bundle.Trivialization.symmL_continuousLinearMapAt, HasDerivAtFilter.scomp, DirichletCharacter.summable_neg_log_one_sub_mul_prime_cpow, ContinuousLinearMap.antilipschitz_antiLipschitzConstant_of_injective_of_isClosed_range, 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, intervalIntegral.integral_deriv_smul_comp_of_deriv_nonpos, 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, summable_powerSeries_of_norm_lt_one, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_smul, TestFunction.lineDerivOp_eq_lineDerivCLM, 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, WithLp.volume_preserving_toLp, UniformConvexOn.convexOn, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, SchwartzMap.fourierMultiplierCLM_apply, 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, ClosedSubmodule.mem_symplComp_iff, ContinuousAt.cfcₙ_nnreal, IsBoundedBilinearMap.differentiableAt, hasFDerivAt_list_prod_finRange', Function.Periodic.intervalIntegral_add_eq_add, LinearMap.IsSymmetric.adjoint_eq, LinearMap.isPositive_sum, Submodule.starProjection_norm_le, summable_mul_of_summable_norm', 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, RKHS.inner_kerFun, 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, FormalMultilinearSeries.cpolynomialAt_changeOrigin_of_finite, MeasureTheory.condExp_smul, hasFTaylorSeriesUpTo_succ_nat_iff_right, IsCovariantDerivativeOn.leibniz, SchwartzMap.compSubConstCLM_zero, ContDiffMapSupportedIn.seminorm_top_le_iff, iteratedFDeriv_add, ProbabilityTheory.IsGaussianProcess.shift, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, HasFDerivWithinAt.norm_sq, tsum_riemannZetaSummand, hasFDerivWithinAt_piLp, MeasureTheory.norm_weightedSMul_le, lp.singleContinuousLinearMap_apply, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableOn_piLp, ClosedSubmodule.iInf_orthogonal, LinearMap.tracePositiveLinearMap_apply, Complex.summable_ofReal, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, MDifferentiableAt.clm_comp, ValueDistribution.characteristic_add_top_eventuallyLE, MeasureTheory.withDensityᵥ_smul_eq_withDensityᵥ_withDensity', HasDerivAt.clm_comp, ProbabilityTheory.HasGaussianLaw.map, EuclideanGeometry.reflection_apply_of_mem, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, range_cfcₙHom_le, VectorBundle.continuousOn_coordChange', StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ContinuousLinearMap.rayleighQuotient_le_of_norm_mem_resolventSet, 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, InnerProductSpace.volume_ball_of_dim_odd, AddChar.tendsto_eval_one_sub_pow, SchwartzMap.fourierInv_lineDerivOp_eq, VectorFourier.integral_fourierIntegral_swap, Asymptotics.IsTheta.summable_iff, 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, LinearMap.hasEigenvalue_adjoint_comp_self_sq_singularValues, 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, Differentiable.continuousMultilinearMapCompContinuousLinearMap, 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, HasFDerivWithinAt.finCons, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_const_smul, NormedSpace.expSeries_div_summable, intervalIntegral.sum_integral_adjacent_intervals, CStarMatrix.toCLM_apply_eq_sum, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_increments, HasStrictFDerivAt.restrictScalars, ContinuousLinearMap.coe_linearMap_equivRange, InnerProductSpace.HarmonicContOnCl.fun_const_add, 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, ClosedSubmodule.sub_mem_orthogonal_of_inner_left, intervalIntegral.integral_finset_sum, AddCircle.exists_norm_eq_of_isOfFinAddOrder, HasDerivAtFilter.add_const, Meromorphic.fun_smul, MeasureTheory.weightedSMul_add_measure, Unitary.linearIsometryEquiv_coe_symm_apply, MeasureTheory.Measure.NullMeasurableSet.const_smul, MDifferentiable.slash, Submodule.eq_starProjection_of_mem_of_inner_eq_zero, WithCStarModule.pi_norm, Orientation.oangle_neg_left, mfderiv_extChartAt_self, 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, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, differentiableAt_const_add_iff, MeasureTheory.L1.SimpleFunc.setToL1S_indicatorConst, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, fderiv.snd, 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, FormalMultilinearSeries.changeOrigin_eval_of_finite, iteratedDeriv_vcomp_three, intervalIntegral.integral_smul, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_eval, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, CuspForm.coe_translate, fderivWithin_fun_pow, RCLike.sqrt_map, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, iteratedFDerivWithin_two_apply', ProbabilityTheory.charFun_map_add_prod_eq_mul, 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, HasStrictFDerivAt.to_implicitFunction, 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, extDerivFun_add, LinearMap.star_eq_adjoint, DifferentiableOn.const_add, PMF.integral_eq_tsum, SpectrumRestricts.real_iff, Matrix.l2_opNNNorm_mul, HasFTaylorSeriesUpTo.tsupport_subset, 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, Bundle.Pretrivialization.continuousLinearMap_symm_apply, Filter.EventuallyEq.extDerivWithin', LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', lp.infty_smulCommClass, intervalIntegral.integral_comp_div, InnerProductGeometry.norm_div_tan_angle_add_of_inner_eq_zero, HasSum.exists_hasSum_smul_of_apply_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, EuclideanGeometry.oangle_pointReflection_right, HasFPowerSeriesOnBall.tendstoUniformlyOn, HasDerivAt.scomp_hasDerivWithinAt_of_eq, SchauderBasis.exists_norm_proj_le, ContinuousLinearMap.norm_inr, MeasureTheory.setAverage_eq, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, Submodule.starProjection_bot, VectorField.mlieBracketWithin_smul_left, ContinuousLinearMap.isometry_iff_adjoint_comp_self, VectorBundle.continuousLinearEquivAt_symm_apply, 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', InnerProductSpace.gramSchmidtOrthonormalBasis_apply_of_orthogonal, HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, homeomorphUnitSphereProd_symm_apply_coe, ProbabilityTheory.iIndepFun.charFunDual_map_sum_eq_prod, TemperedDistribution.fourierMultiplierCLM_toTemperedDistributionCLM_eq, ProbabilityTheory.covarianceBilin_self_nonneg, HasStrictFDerivAt.iterate, taylorWithinEval_succ, MeasureTheory.IsFundamentalDomain.integral_eq_tsum'', ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, HasDerivWithinAt.add, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, IsSelfAdjoint.conj_adjoint, ZLattice.covolume.tendsto_card_le_div', 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, EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eq, HasStrictFDerivAt.continuousMultilinear_apply_const, iteratedDeriv_const_add, hasSum_mellin_pi_mul, ContDiffMapSupportedIn.monoLM_eq_zero, Real.dimH_of_nonempty_interior, ContinuousLinearMap.analyticOnNhd_bilinear, hasFDerivAt_pi'', ZSpan.fundamentalDomain_reindex, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', Orientation.oangle_sign_smul_add_smul_smul_add_smul, ProbabilityTheory.indepFun_iff_charFunDual_prod', Affine.Simplex.direction_mongePlane, DoubleCentralizer.algebraMap_snd, UnconditionalSchauderBasis.norm_proj_le_nnnormProjBound, MeasureTheory.Measure.integral_comp_mul_left, ContinuousOn.continuousOn_iteratedFDerivWithin, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, ProbabilityTheory.covarianceBilinDual_self_eq_variance, LinearMap.IsIdempotentElem.isSymmetric_iff_isOrtho_range_ker, RCLike.wInner_cWeight_const_left, HurwitzZeta.hasSum_int_sinKernel, ProperCone.innerDual_union, MeasureTheory.integrable_smul_const, SchauderBasis.RankOneDecomposition.basisCoeff_spec, 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, CovariantDerivative.zero, intervalIntegral.integral_Iio_add_Ici, fderiv_tsum, SchwartzMap.fourier_evalCLM_eq, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₂, LinearMap.adjoint_toSpanSingleton, DoubleCentralizer.one_snd, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, OrthonormalBasis.coe_toBasis, DifferentiableOn.continuousMultilinear_apply_const, ProbabilityTheory.charFun_map_sum_pi_eq_prod, LinearMap.compLeftInverse_apply_of_bdd, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Differentiable.add_iff_left, RCLike.norm_nsmul, MeasureTheory.VectorMeasure.exists_extension_of_isSetSemiring_of_le_measure_of_generateFrom, BoxIntegral.Integrable.sum_integral_congr, DifferentiableAt.fun_const_smul, contDiffOn_infty_iff_fderiv_of_isOpen, ContinuousLinearEquiv.comp_right_fderivWithin, 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, ProbabilityTheory.HasGaussianLaw.fun_add, analyticAt_iff_analytic_fun_smul, differentiableAt_piLp, Submodule.reflection_sub, MeasureTheory.Measure.toSphere_apply', TemperedDistribution.instLineDerivSMulReal, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_radius_nonneg_and_vsub_mem_and_norm_sq, iteratedDeriv_comp_neg, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitoneOn, LinearEquiv.extendOfIsometry_apply, cot_series_rep, SchwartzMap.evalCLM_apply_apply, iteratedFDerivWithin_zero, Summable.clog_one_sub, 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, analyticOn_taylorComp, DiffContOnCl.smul_const, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Filter.Tendsto.cfcₙ_nnreal, TopologicalGroup.IsSES.integrate_apply, tendsto_integral_exp_smul_cocompact_of_inner_product, fderivWithin_snd, 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, RKHS.coeCLM_injective, DoubleCentralizer.algebraMap_toProd, continuousMultilinearCurryFin0_symm_apply_apply, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, HasDerivWithinAt.fun_const_smul, LinearMap.isPositive_self_comp_adjoint, Antitone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, ContinuousLinearMap.ker_self_comp_adjoint, EisensteinSeries.isBoundedAtImInfty_eisensteinSeries_SIF, RCLike.hasSum_conj, differentiableAt_norm_smul, instModuleFinite_of_discrete_submodule, FormalMultilinearSeries.id_comp, circleIntegral.integral_smul, ContinuousLinearMap.norm_map_tail_le, ProbabilityTheory.HasGaussianLaw.fun_sub, 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, VectorField.mlieBracketWithin_smul_right, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, DoubleCentralizer.instIsCentralScalar, InnerProductGeometry.angle_add_pos_of_inner_eq_zero, ContDiffAt.restrictScalars_iteratedFDeriv, ProbabilityTheory.iIndepFun.charFun_map_sum_eq_prod, HasFDerivAt.continuousAlternatingMap_apply_const, LinearIsometry.adjoint_comp_self', 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, Module.Dual.extendRCLikeₗ_apply, Complex.abel_aux, curveIntegralFun_neg, TestFunction.lineDerivCLM_eq_fderivCLM, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, TopologicalAddGroup.IsSES.integrate_mono, 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, ContDiffPointwiseHolderAt.clm_apply, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', Matrix.l2_opNNNorm_def, hasMFDerivAt_const, MeasureTheory.charFunDual_map_const_add, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, VonNeumannAlgebra.IsIdempotentElem.mem_iff, MeasureTheory.L1.SimpleFunc.setToL1S_const, SmoothPartitionOfUnity.finsum_smul_mem_convex, Real.Angle.sign_two_nsmul_eq_sign_iff, MeasureTheory.charFunDual_map_add_const, LinearMap.extendOfNorm_eq, ContinuousLinearMap.integrable_comp, ContinuousLinearMap.adjointAux_adjointAux, HasStrictFDerivAt.const_sub, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, MeasureTheory.integral_tsum_of_summable_integral_norm, GeneralSchauderBasis.proj_empty, HasStrictDerivAt.const_add, Complex.conjCLE_coe_toLinearMap, LinearMap.polar_gc, Orientation.rotation_trans, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, Meromorphic.fun_add, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ZSpan.span_top, ModularForm.coeHom_apply, analyticOrderAt_add_eq_right_of_lt, hasFDerivAt_single, ContMDiffAt.clm_precomp, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, MeasureTheory.condExpL2_indicator_of_measurable, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, ProbabilityTheory.covarianceBilin_real_self, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, LinearMap.eq_adjoint_iff, SchauderBasis.RankOneDecomposition.finrank_range, 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, LinearEquiv.extend_symm_apply, InnerProductGeometry.mul_norm_eq_abs_sub_sq_norm, OrthonormalBasis.tensorProduct_apply', ImplicitFunctionData.hasStrictFDerivAt, NumberField.mixedEmbedding.span_latticeBasis, ContinuousLinearMap.integral_comp_id_comm', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, inner_product_apply_eigenvector, HasFTaylorSeriesUpToOn.hasFDerivAt, mfderiv_prod_right, WeakFEPair.hf_zero, Convex.exists_subset_interior_convexHull_finset_of_isCompact, LinearIsometry.norm_toContinuousLinearMap_comp, hasStrictFDerivAt_inv, BoundedContinuousFunction.coeFn_toLp, scalarSMulCLE_apply, hasFiniteFPowerSeriesAt_const, MDifferentiable.clm_prodMap, 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, InnerProductSpace.HarmonicContOnCl.const_add, LinearMap.isPositive_iff_complex, VectorFourier.fourierSMulRight_apply, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, 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, MeasureTheory.L1.tendsto_setToL1, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', MeasureTheory.condExpL1CLM_indicatorConst, SchwartzMap.fourierMultiplierCLM_ofReal, 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, DifferentiableOn.continuousAlternatingMap_apply, 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, ContinuousLinearMap.orthogonalComplement_iSup_eigenspaces_eq_bot, LinearIsometry.norm_iteratedFDerivWithin_comp_left, curveIntegralFun_fun_zero, ClosedSubmodule.mulI_inf, derivWithin_fun_smul, MeasureTheory.integral_fun_norm_addHaar, HasFDerivAt.fun_pow', tendsto_sum_mul_atTop_nhds_one_sub_integral₀, 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, LinearMap.IsSymmetric.directSum_isInternal_of_commute, UnitAddTorus.hasSum_mFourier_series_L2, ContinuousMultilinearMap.cpolynomialAt, MeasureTheory.Lp.norm_const, ContinuousLinearMap.NonlinearRightInverse.right_inv, MeasureTheory.hasSum_integral_of_dominated_convergence, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, curveIntegralFun_def', NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, WithCStarModule.pi_inner, Orientation.areaForm_comp_rightAngleRotation, summable_powerSeries_of_norm_lt, AnalyticAt.add, MeasureTheory.lpNorm_nsmul, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Submodule.isOrtho_span, contDiffOn_fderiv_coord_change, Bundle.Trivialization.coordChangeL_prod, ZSpan.exist_unique_vadd_mem_fundamentalDomain, HasFDerivAtFilter.fun_add, ZSpan.fundamentalDomain_subset_parallelepiped, integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable_aux2, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, sum_mem_ball_of_strictConvexSpace, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, extDeriv_add, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, iteratedDerivWithin_const_smul, HasStrictDerivAt.smul_const, ProbabilityTheory.IsGaussianProcess.comp_right, ProbabilityTheory.HasGaussianLaw.fun_neg, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, DifferentiableOn.add_iff_left, MeasureTheory.SimpleFunc.setToSimpleFunc_smul, HasFiniteFPowerSeriesOnBall.neg, RCLike.conj_tsum, ContMDiffOn.clm_apply, sum_mul_eq_sub_integral_mul₁, HasFDerivAtFilter.comp, MeasureTheory.L1.setToL1_unique, SchauderBasis.finrank_range_succSub_eq_one, MeasureTheory.average_union_mem_segment, PadicInt.continuous_addChar_of_value_at_one, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d, ApproximatesLinearOn.antilipschitz, iteratedFDeriv_zero_apply, DifferentiableWithinAt.smul_const, LinearMap.polar_weak_closed, ContinuousLinearMap.le_def, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, Real.Angle.two_zsmul_eq_iff, coe_lpPiLpₗᵢ, MeasureTheory.rnDeriv_ae_eq_condExp, DiffContOnCl.circleAverage_poissonKernel_smul, VectorBundleCore.localTriv_apply, Orientation.oangle_add_cyc3, MeasureTheory.integrable_add_const_iff, LinearMap.isPositive_zero, DoubleCentralizer.zero_fst, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, LinearEquiv.extend_symm_eq, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, fderiv_update, RKHS.coeCLM_apply, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, StrongDual.extendRCLikeₗᵢ_symm_apply, extDerivWithin_apply_vectorField, ZLattice.summable_norm_pow_inv, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, ValueDistribution.characteristic_sum_top_le, TangentBundle.contMDiffVectorBundle, MeasureTheory.setIntegral_union₀, 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, AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder, homeomorphSphereProd_symm_apply_coe, hom_trivializationAt, ContinuousLinearMap.IsStarProjection.ext_iff, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, FormalMultilinearSeries.le_comp_radius_of_summable, 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, Real.Angle.two_nsmul_toReal_eq_two_mul_add_two_pi, TopologicalGroup.IsSES.pushforward_apply_apply, isIntegralCurveOn_comp_mul_ne_zero, RCLike.wInner_const_right, ProbabilityTheory.covarianceOperator_inner, ProbabilityTheory.HasGaussianLaw.sub, InnerProductSpace.rankOne_def', summable_of_summable_hasFDerivAt, 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, TestFunction.instLineDerivLeftSMulRealTopENat, 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', lp.lsingle_apply, extremePoints_closedBall_subset_sphere, 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, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_top, SchwartzMap.fourierMultiplierCLM_const, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, Submodule.norm_orthogonalProjection_apply, MeromorphicAt.add, LSeries_eq_mul_integral, 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, TestFunction.monoCLM_eq_of_scalars, HasFDerivAt.inner, LinearMap.adjoint_lTensor, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', intervalIntegral.integral_comp_smul_deriv', EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Complex.hasSum_taylorSeries_on_emetric_ball, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, fderiv_continuousMultilinear_apply_const_apply, MeasureTheory.integrable_withDensity_iff_integrable_smul, LinearMap.singularValues_pos_iff_lt_finrank_range, MeasureTheory.Integrable.convolution_integrand, HasFDerivAtFilter.star, BoxIntegral.integralSum_fiberwise, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, LinearMap.toMatrixOrthonormal_apply, hasFPowerSeriesOn_cauchy_integral, MeasureTheory.condExpL1CLM_lpMeas, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, Module.Basis.coe_parallelepiped, Submodule.isSymmetricProjection_starProjection, ProbabilityTheory.HasGaussianLaw.map_fun, Submodule.eq_starProjection_of_mem_orthogonal, Differentiable.clm_apply, 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, cfcₙAux_injective, 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, LinearMap.IsIdempotentElem.isSymmetric_iff_orthogonal_range, 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.antilipschitz_of_injective_of_isClosed_range, QuotientAddGroup.integral_eq_integral_automorphize, ProbabilityTheory.integral_strongDual_stdGaussian, 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.L1.setToL1_apply_coeToLp, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, PeriodPair.weierstrassP_sub_coe, VectorField.mlieBracket_add_left, SchwartzMap.norm_toBoundedContinuousFunction_le, HasStrictFDerivAt.isEquivalent_sub, HasStrictFDerivAt.continuousAlternatingMap_apply, 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, StrongDual.extendRCLikeₗ_symm_apply, Pi.orthonormalBasis.toBasis, hasSum_geom_series_inverse, HasStrictDerivAt.complexToReal_fderiv', LinearIsometry.map_starProjection, Convex.curveIntegral_segment_add_eq_of_hasFDerivWithinAt_symmetric, 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, LinearMap.singularValues_fin, Asymptotics.IsBigO.hasFDerivWithinAt, LinearMap.opNorm_extendOfNorm_le, LinearMap.continuous_of_nonzero_on_open, Submodule.inf_orthogonal, LinearMap.sq_singularValues_of_lt, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_zero, CovariantDerivative.torsion_eq_zero_iff, MeasureTheory.integral_continuousLinearMap_prod', curveIntegral_trans, MeasureTheory.SignedMeasure.toComplexMeasure_apply_re, DifferentiableWithinAt.clm_comp, MeasureTheory.weightedSMul_union, hasSum_coe_mul_geometric_of_norm_lt_one, abs_signedDist_eq_dist_iff_vsub_mem_span, MDifferentiableOn.cle_arrowCongr, InnerProductSpace.innerSL_norm, EuclideanGeometry.measurePreserving_vaddConst, MeasureTheory.uniformIntegrable_average, hasFDerivAt_exp_zero, fderiv_add, SchauderBasis.proj_comp, 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, Real.iteratedDeriv_fourier, VonNeumannAlgebra.IsStarProjection.mem_iff, MeasureTheory.L1.setToL1_congr_left', 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, InnerProductSpace.HarmonicContOnCl.fun_add_const, second_derivative_symmetric, ContinuousAlternatingMap.curryLeft_same, MeasureTheory.integrableOn_Icc_deriv_smul_iff_of_deriv_nonneg, NumberField.mixedEmbedding.euclidean.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMultilinearMap.curryRight_apply, TensorProduct.inner_comm_comm, HasFDerivAtFilter.fst, ContDiff.fourierPowSMulRight, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Distribution.dsupport_smulLeftCLM_subset, 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', Bundle.Trivialization.baseSet_continuousLinearMap, intervalIntegral.smul_integral_comp_mul_left, DiffContOnCl.circleAverage_re_herglotzRieszKernel_smul, 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, MeasureTheory.SimpleFunc.setToSimpleFunc_indicator, 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, HasFDerivWithinAt.snd, DoubleCentralizer.one_fst, InnerProductGeometry.angle_smul_smul, MDifferentiableOn.clm_apply, 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, MDifferentiableAt.clm_precomp, 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, DirectSum.IsInternal.subordinateOrthonormalBasis_def, SchwartzMap.compSubConstCLM_comp, TemperedDistribution.smulLeftCLM_add, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, IsContDiffImplicitAt.bijective, PeriodPair.coeff_weierstrassPSeries, eHolderNorm_nsmul, Submodule.eq_starProjection_of_mem_orthogonal', 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', LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, LinearMap.finrank_range_adjoint, ProbabilityTheory.IndepFun.charFunDual_map_add_eq_mul, PeriodPair.derivWeierstrassP_coe, HasFPowerSeriesOnBall.tendsto_partialSum, ProbabilityTheory.iIndepFun.charFun_map_fun_finset_sum_eq_prod, maximal_orthonormal_iff_orthogonalComplement_eq_bot, iteratedFDeriv_fun_sum_apply, SmoothBumpFunction.contMDiff_smul, hasMFDerivWithinAt_const, MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₁, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, 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, LinearMap.sq_singularValues_fin, HasDerivWithinAt.pow', VectorFourier.contDiff_fourierIntegral, MeasureTheory.L1.setToL1_congr_left, ContMDiffMap.coe_smul, ContinuousLinearMap.adjoint_comp_self_injective_iff, Memℓp.star_iff, iteratedFDeriv_succ_apply_right, Asymptotics.IsEquivalent.const_add_of_norm_tendsto_atTop, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_add, fourierSubalgebra_coe, Submodule.isOrtho_top_right, FormalMultilinearSeries.leftInv_coeff_one, DiffContOnCl.circleAverage_re_herglotzRieszKernel_smul', 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, ProbabilityTheory.variance_dual_stdGaussian, mdifferentiableOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, Bundle.Trivialization.continuousLinearEquivAt_apply, BoxIntegral.integral_smul, LinearMap.range_adjoint_comp_self, ContDiffAt.hasStrictFDerivAt_implicitFunction, MeasureTheory.L1.setToL1_smul, hasFPowerSeriesAt_pi_iff, MeasureTheory.eLpNorm'_const_smul, ZSpan.fract_add_ZSpan, 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, lp.coeFn_smul, coord_norm', ProperCone.relative_hyperplane_separation, HasFDerivWithinAt.comp, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, DirectSum.IsInternal.collectedOrthonormalBasis_mem, 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, StrongDual.extendRCLikeₗᵢ_apply, UniformConcaveOn.strictConcaveOn, QuadraticMap.lineDifferentiableAt, Submodule.sup_orthogonal_inf_of_hasOrthogonalProjection, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, ContinuousOn.cfcₙ_nnreal', hasFDerivAt_exp_smul_const, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, LinearMap.IsPositive.trace_nonneg, VectorBundle.finrank_eq, coe_addEquiv_lpBCF_symm, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, ProbabilityTheory.IsGaussianProcess.of_isGaussianProcess, 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, MeasureTheory.setToFun_finset_sum, IsSymmSndFDerivAt.iteratedFDeriv_cons, HasStrictFDerivAt.const_rpow, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, intervalIntegral.integral_const', MeasureTheory.condExp_smul_of_aestronglyMeasurable_left, InnerProductSpaceable.add_left, Bundle.Trivialization.apply_eq_prod_continuousLinearEquivAt, 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, ContinuousLinearMap.self_comp_adjoint_injective_iff, Bundle.Trivialization.continuousLinearMapAt_apply, Bundle.Trivial.trivialization.isLinear, DifferentiableAt.fun_sum, ContinuousLinearMap.coeFn_compLpL, hasStrictFDerivAt_list_prod_attach', VectorField.mlieBracketWithin_add_right, Real.Lp.fourierTransformCLM_apply, NumberField.mixedEmbedding.volume_negAt_plusPart, HasFDerivAt.snd, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, CircleIntegrable.sum, Bundle.Trivialization.continuousLinearEquivAt_symm_apply, 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, NumberField.HeightOneSpectrum.instFiniteAdicCompletionRingOfIntegers, Module.Basis.parallelepiped_eq_map, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_blockTriangular, ContDiffMapSupportedIn.norm_apply_le_seminorm, integral_withDensity_eq_integral_toReal_smul, contDiffOn_clm_apply, ZLattice.covolume.tendsto_card_div_pow', Bundle.Trivialization.symmL_apply, fderiv_continuousAlternatingMap_apply_apply, LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, FormalMultilinearSeries.id_apply_zero, lp.single_smul, 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, ContinuousLinearMap.IsIdempotentElem.isPositive_iff_isSelfAdjoint, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, LinearMap.mem_polar_singleton, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, AEMeasurable.apply_continuousLinearMap, HasFPowerSeriesWithinOnBall.coeff_zero, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left', FormalMultilinearSeries.analyticOnNhd, fderiv_comp_add_right, Unitization.nnreal_cfcₙ_eq_cfc_inr, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_prodMk, 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, HasFPowerSeriesWithinOnBall.changeOrigin, MeasureTheory.setIntegral_indicatorConstLp, InnerProductSpace.HarmonicContOnCl.fun_const_smul, fromTangentSpace_mfderiv_smul, HasFDerivAt.fun_sum, stereographic_target, ContDiff.smul, Unitary.norm_map, ProbabilityTheory.iIndepFun.hasGaussianLaw, 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, RCLike.im_tsum, 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, TestFunction.mkCLM_apply, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, SchauderBasis.proj_apply_basis_mem, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, Quaternion.tsum_coe, Orientation.inner_smul_rotation_pi_div_two_left, HasFDerivAt.add_const, lp.instIsCentralScalarSubtypePreLpMemAddSubgroup, BoxIntegral.hasIntegral_const, ZLattice.volume_image_eq_volume_div_covolume, hasDerivAtFilter_finCons', MeasureTheory.Supermartingale.smul_nonpos, mfderivWithin_prodMap, deriv_tsum, LinearIsometry.toLinearMap_rTensor, ContinuousMap.toLp_injective, hasStrictFDerivAt_fst, TestFunction.fderivCLM_eq_of_scalars, 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, ProbabilityTheory.integral_poissonMeasure, VectorField.mpullbackWithin_const_smul_apply, MeasureTheory.integrable_continuousLinearMap_prod', MeasureTheory.Submartingale.sum_smul_sub', NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, Matrix.PosSemidef.inv_sqrt, mfderiv_sumInr, support_iteratedFDeriv_subset, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, hasStrictFDerivAt_finset_prod, DifferentiableAt.continuousMultilinear_apply_const, TestFunction.lineDerivCLM_eq_of_scalars, Submodule.le_orthogonal_iff_le_orthogonal, intervalIntegral.smul_integral_comp_mul_add, Complex.exp_sub_sum_range_isBigO_pow, curveIntegral_zero, IsIntegralCurveAt.comp_mul_ne_zero, Function.HasTemperateGrowth.fun_add, SchauderBasis.nnnorm_proj_le_nnnormProjBound, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, EisensteinSeries.summable_linear_sub_mul_linear_add, HasDerivWithinAt.comp_hasFDerivAt, hasSum_mellin_pi_mul₀, Submodule.mem_orthogonal, BoxIntegral.HasIntegral.of_le_Henstock_of_forall_isLittleO, exists_dual_vector', MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, FormalMultilinearSeries.apply_eq_prod_smul_coeff, DifferentiableWithinAt.fun_smul, Orientation.kahler_rightAngleRotation_left, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, HasDerivWithinAt.scomp, hasFPowerSeriesWithinAt_pi_iff, CircleIntegrable.const_fun_smul, MeasureTheory.eLpNorm_const_smul, UnitAddTorus.hasSum_mFourier_series_of_summable, 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, MDifferentiableWithinAt.clm_comp, HasFDerivWithinAt.continuousMultilinear_apply_const, derivWithin_fun_sum, IsCovariantDerivativeOn.add, eventually_norm_symmL_trivializationAt_lt, differentiableAt_comp_add_left, cfcₙHom_real_eq_restrict, PeriodPair.latticeEquiv_symm_apply, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, AnalyticAt.fun_add, hasFDerivAtFilter_finCons, MeasureTheory.ComplexMeasure.im_apply, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, MDifferentiableOn.clm_comp, 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, fun_iteratedFDerivWithin_sub_apply, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, HasFDerivAt.sin, continuousMultilinearCurryLeftEquiv_apply, ProbabilityTheory.HasGaussianLaw.map_equiv, Orientation.abs_areaForm_of_orthogonal, Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two, HasFPowerSeriesAt.deriv, SchauderBasis.RankOneDecomposition.proj_zero, ModularForm.summable_logDeriv_one_sub_eta_q, PeriodPair.weierstrassPSeries_hasSum, LinearIsometryEquiv.symm_rTensor, ProbabilityTheory.HasGaussianLaw.prodMk, mfderiv_snd, HasMFDerivWithinAt.add, LSeries_sum, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, LinearMap.eq_adjoint_iff_basis, SchwartzMap.norm_toLp_top_le, HasCompactSupport.iteratedFDeriv, HasFDerivAt.csin, TensorProduct.commIsometry_symm, isStarProjection_starProjection, MeasureTheory.integral_rnDeriv_smul, ContMDiffAt.clm_prodMap, 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, StrictConvexSpace.extremePoints_closedBall_eq_sphere, Matrix.isSymmetric_toLin_iff, ContinuousLinearMap.opNorm_zero_iff, Complex.taylorSeries_eq_on_eball, MeasureTheory.Measure.map_addHaar_smul, InnerProductSpace.gramSchmidt_def'', ContinuousLinearMap.intervalIntegral_apply, HasFDerivAtFilter.snd, AnalyticOnNhd.fderiv, Filter.EventuallyEq.extDeriv, 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, HasFDerivWithinAt.isEquivalent_sub, 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, fderivWithin_continuousAlternatingMap_apply_apply, SchwartzMap.smulLeftCLM_neg, intervalIntegral.inv_smul_integral_comp_div, MeasureTheory.withDensityᵥ_add, ContinuousLinearMap.opNNNorm_mul, Complex.conjCLE_enorm, ContinuousLinearEquiv.comp_differentiableAt_iff, intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonpos, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, MeasureTheory.charFunDual_eq_pi_iff, mfderiv_zero_of_not_mdifferentiableAt, FormalMultilinearSeries.leftInv_comp, MeasureTheory.aestronglyMeasurable_condExpL1CLM, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, HasFPowerSeriesAt.const_smul, 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, ProbabilityTheory.iIndepFun.hasGaussianLaw_sub, ContinuousAffineMap.snd_decompLinearIsometryEquiv, DifferentiableOn.fun_add_iff_left, iteratedDerivWithin_fun_sum, MemHolder.nnHolderNorm_nsmul, aemeasurable_withDensity_iff, derivWithin_const_smul, Matrix.exp_units_conj', HasFDerivAt.isThetaTVS_sub, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, Complex.re_tsum, 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, MultilinearMap.bound_of_shell, circleAverage_sub_sub_inv_smul_of_differentiable_on, TopologicalAddGroup.IsSES.pushforward_def, DoubleCentralizer.algebraMap_fst, RCLike.reLm_coe, fderiv_continuousLinearEquiv_comp, Real.Angle.coe_nsmul, EisensteinSeries.q_expansion_bernoulli, deriv_clm_comp, HasStrictFDerivAt.approximates_deriv_on_open_nhds, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, hasStrictFDerivAt_exp_zero_of_radius_pos, ContinuousLinearMap.toBilinForm_injective, DifferentiableAt.fun_smul, circleIntegral.integral_smul_const, ContDiffMapSupportedIn.structureMapCLM_top_apply, InnerProductSpace.mem_span_gramSchmidt, ContinuousLinearMap.mfderivWithin_eq, norm_iteratedFDerivWithin_comp_le, ContDiffOn.fderivWithin, tsum_prod_pow_eq_tsum_sigma, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, 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, WithLp.volume_preserving_symm_measurableEquiv_toLp_prod, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, MeasureTheory.Lp.zero_smul, HasFDerivAt.hasFDerivAt_norm_smul, Submodule.sub_mem_orthogonal_of_inner_right, bilinearIteratedFDerivWithinTwo_eq_iteratedFDeriv, Real.Angle.sign_add_pi, HasFiniteFPowerSeriesOnBall.eq_partialSum', VectorField.mlieBracket_const_smul_left, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, fderivWithin_fun_add, coe_lpBCFₗᵢ_symm, range_mfderiv_coe_sphere, Real.Angle.toReal_add_of_sign_pos_sign_neg, RKHS.kerFun_inner, Complex.wedgeIntegral_add_wedgeIntegral_eq, IsMIntegralCurve.comp_mul, coe_lpPiLpₗᵢ_symm, Bundle.Trivialization.continuousLinearMap_apply, LinearEquiv.continuous_symm, Differentiable.continuousAlternatingMap_apply_const, differentiable_piLp, ClosedSubmodule.inf_orthogonal_eq_bot, HasFPowerSeriesOnBall.pi, ProbabilityTheory.Kernel.integral_integral_add, NormedSpace.isCompact_closure_of_isBounded, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm', intervalIntegral.hasSum_integral_of_dominated_convergence, Submodule.reflection_eq_self_iff, HasFPowerSeriesWithinOnBall.fderivWithin_eq, MeasureTheory.weightedSMul_union', MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, stereographic_source, ProbabilityTheory.charFunDual_map_sum_pi_eq_prod, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_self, RCLike.wInner_one_const_right, ZLattice.summable_norm_sub_rpow, AlgHom.coe_toContinuousLinearMap, ContDiff.iteratedFDeriv_right', Differentiable.add_const, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, HasFDerivWithinAt.sqrt, HasFDerivAt.le_of_lipschitz, ContDiffMapSupportedIn.structureMapLM_top_apply, ContinuousLinearMap.ker_adjoint_comp_self, 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, IsCovariantDerivativeOn.add_one_form, ZLattice.abs_repr_lt_of_norm_lt, LinearMap.IsSymmetric.apply_eigenvectorBasis, HasStrictFDerivAt.hasStrictDerivAt, FormalMultilinearSeries.radius_shift, DirectSum.IsInternal.card_filter_subordinateOrthonormalBasisIndex_eq, ContinuousLinearEquiv.comp_right_differentiableAt_iff, Submodule.finrank_add_inf_finrank_orthogonal', 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, VectorField.leibniz_identity_mlieBracketWithin_apply, hasLineDerivAt_iff_tendsto_slope_zero, differentiableAt_comp_add_right, norm_iteratedFDeriv_comp_le, HasFDerivAt.list_prod', ProbabilityTheory.covarianceBilin_real, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', ProbabilityTheory.strong_law_Lp, fderivWithin_const_smul_field, fderiv_continuousMultilinearMapCompContinuousLinearMap, deriv_fun_const_smul, Real.Angle.natCast_mul_eq_nsmul, MeasureTheory.integral_const, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, ContinuousLinearMap.measurable_coe, Asymptotics.IsEquivalent.summable_iff, 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, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, 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, Filter.EventuallyEq.extDerivWithin, LinearEquiv.norm_extend_symm_le, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, SummableLocallyUniformlyOn.differentiableOn, ContDiffAt.iteratedFDeriv_comp_perm, HasFDerivAt.fun_add, HasFDerivAt.fst, VectorPrebundle.mk_coordChange, TensorProduct.enorm_assoc, hasFDerivWithinAt_comp_add_right, MeasureTheory.Lp.smul_neg, ProbabilityTheory.iIndepFun.charFun_map_finset_sum_eq_prod, 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, iteratedFDerivWithin_fun_sum_apply, ContDiffMapSupportedIn.monoCLM_eq_zero, SchwartzMap.sum_apply, Matrix.linfty_opNorm_toMatrix, HasFPowerSeriesAt.eventually_hasSum_of_comp, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMap.coeFn_toLp, MeasureTheory.L1.norm_setToL1_le_mul_norm', 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, SchauderBasis.RankOneDecomposition.exists_coeff, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_fst, ContinuousLinearMap.isPositive_def', Orientation.oangle_add_cyc3_neg_left, LinearMap.adjoint_inner_left, MemHolder.nnHolderNorm_smul, HasDerivWithinAt.add_const, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, 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, Asymptotics.IsBigO.continuousMultilinearMap_apply_eq_zero, ContMDiffVectorBundle.contMDiffOn_coordChangeL, MeasureTheory.Measure.addHaar_preimage_linearMap, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, curveIntegral_eq_intervalIntegral_deriv, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, ContinuousLinearMap.inCoordinates_eq, meromorphicOrderAt_smul_of_ne_zero, mfderiv_prodMk, lp.tsumCLM_apply, summable_of_summable_hasDerivAt_of_isPreconnected, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, hasMFDerivWithinAt_snd, ProbabilityTheory.HasGaussianLaw.fun_sum, BoxIntegral.integralSum_smul, taylor_integral_remainder_aux, ContinuousMultilinearMap.norm_domDomCongr, ProbabilityTheory.variance_dual_prod', Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two, HasStrictFDerivAt.fun_neg, SlashInvariantForm.slash_action_generators_SL2Z, HasFDerivWithinAt.arctan, ZSpan.quotientEquiv.symm_apply, isIntegralCurve_comp_mul_ne_zero, NumberField.mixedEmbedding.convexBodyLT_convex, Real.tendsto_integral_exp_smul_cocompact, HasStrictFDerivAt.sum, mellin_convergent_iff_norm, MeasureTheory.setIntegral_tilted', HasStrictFDerivAt.implicitToOpenPartialHomeomorph_apply_ker, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, Submodule.ker_orthogonalProjection, locallyIntegrableOn_mul_sum_Icc, fderiv_continuousMultilinear_apply_const, Orientation.kahler_mul, SchauderBasis.succSub_ortho, 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, HasStrictFDerivAt.to_localInverse, 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, EuclideanGeometry.Sphere.inter_orthRadius_eq_of_dist_le_radius_of_norm_eq_one, 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, CovariantDerivative.torsion_antisymm, 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, ProbabilityTheory.isGaussian_of_charFunDual_eq, MemHolder.nnHolderNorm_add_le, Submodule.IsOrtho.disjoint, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous, derivWithin_sum, ZLattice.volume_image_eq_volume_div_covolume', MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, HasFDerivWithinAt.comp_hasDerivAt, SchwartzMap.compCLM_apply, EisensteinSeries.tendsto_double_sum_S_act, toMatrix_innerSL_apply, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, TemperedDistribution.fourierMultiplierCLM_apply_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, ContMDiff.clm_postcomp, Orientation.volumeForm_robust', Complex.sinh_eq_tsum, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, ProbabilityTheory.HasGaussianLaw.map_equiv_fun, 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, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_measure, fun_iteratedFDeriv_sub_apply, ModelWithCorners.convex_range', MDifferentiableAt.coordChangeL, MeasureTheory.Lp.smul_comm, fderivWithin_continuousAlternatingMap_apply_const, extDeriv_fun_add, 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, ApproximatesLinearOn.closedBall_subset_target, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, MeasureTheory.hasSum_integral_iUnion, signedDist_vadd_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_completeSpace, MDifferentiableWithinAt.clm_postcomp, 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, ContMDiff.clm_prodMap, Complex.imCLM_coe, ModelWithCorners.transContinuousLinearEquiv_range, ContDiffOn.smul, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, TensorProduct.nnnorm_assoc, WeakFEPair.hf_modif_FE, IsSelfAdjoint.conj_starProjection, FormalMultilinearSeries.analyticAt_changeOrigin, fourierCoeff.add, deriv_smul_const, CStarMatrix.normedSpaceCore, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, intervalIntegral.integral_hasFDerivWithinAt, HasFPowerSeriesAt.tendsto_partialSum, TopologicalGroup.IsSES.pushforward_mono, 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, ModularForm.discriminant_T_invariant, MeasureTheory.withDensityᵥ_zero, ContinuousLinearMap.comp_cpolynomialOn, HasFDerivAt.cos, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, iteratedFDerivWithin_comp_add_left', tendsto_smul_congr_of_tendsto_left_cobounded_of_isBoundedUnder, StrictConvexSpace.sphere_subset_extremePoints_closedBall, InnerProductSpace.span_gramSchmidt, MeasureTheory.Lp.smul_add, MeasureTheory.L1.norm_setToL1_le', TestFunction.fderivCLM_apply_of_gt, MeasureTheory.withDensitySMulLI_apply, HasStrictFDerivAt.isThetaTVS_sub, hasDerivWithinAt_const_add_iff, MeasureTheory.Measure.addHaar_nnreal_smul, deriv_finset_prod, ContinuousLinearMap.range_eq_map_coprodSubtypeLEquivOfIsCompl, logDeriv_prod, ContinuousLinearMap.spectralRadius_eq_nnnorm, 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, hasFDerivAt_tsum, Orientation.oangle_sign_add_left, ZSpan.instDiscreteTopologySubtypeMemAddSubgroupToAddSubgroupIntSpanRangeCoeBasisRealOfFinite, ContinuousLinearMap.spectrum_eq, UnitAddTorus.hasSum_prod_mFourierCoeff, HasStrictFDerivAt.fun_const_smul, OrthonormalBasis.span_apply, iteratedFDerivWithin_eventually_congr_set', ContinuousMultilinearMap.analyticOnNhd, NumberField.mixedEmbedding.latticeBasis_apply, MeasureTheory.integral_add', StronglyMeasurable.apply_continuousLinearMap, ClosedSubmodule.orthogonal_toSubmodule_eq, HasFDerivAt.hasDerivAt, fderivWithin_const_smul, extDerivWithin_extDerivWithin_apply, 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, BoundedContinuousFunction.star_mem_range_charAlgHom, HasStrictFDerivAt.prodMap, MeromorphicOn.extract_zeros_poles, ProbabilityTheory.IsGaussianProcess.smul, HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin, ValueDistribution.logCounting_add_const, ContinuousMap.adjoin_id_eq_span_one_add, ProbabilityTheory.HasGaussianLaw.charFunDual_map_eq_fun, Complex.sin_eq_tsum, ContinuousLinearMap.norm_inl, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, IsSelfAdjoint.hasEigenvector_of_isMinOn, 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, deriv_tsum_apply, DiffContOnCl.add, intervalIntegral.integral_deriv_smul_deriv_comp, PadicInt.fwdDiff_mahlerSeries, DoubleCentralizer.zero_toProd, SlashInvariantForm.slash_S_apply, Orientation.coe_basisRightAngleRotation, HasFDerivAt.const_rpow, HasStrictDerivAt.finCons, 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, hasSum_fourier_series_of_summable, NormedSpace.exp_smul, MeromorphicOn.negPart_divisor_add_le_max, Real.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, IsCoercive.continuousLinearEquivOfBilin_apply, VectorBundleCore.continuousOn_coordChange, LinearMap.singularValues_finrank_range_self, 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, MDifferentiableOn.clm_precomp, 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, iteratedFDeriv_sub, PadicInt.continuous_multichoose, Complex.hasSum_taylorSeries_neg_log, PeriodPair.hasSumLocallyUniformly_aux, WithLp.volume_preserving_ofLp, VectorFourier.integral_bilin_fourierIntegral_eq_flip, ContinuousMap.Homotopy.curveIntegral_add_curveIntegral_eq_of_diffContOnCl, deriv_clm_apply, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, HasFPowerSeriesWithinOnBall.add, InnerProductSpace.HarmonicContOnCl.add_const, ContinuousLinearMap.add_compLp, curveIntegralFun_restrictScalars, contDiffOn_succ_iff_fderivWithin, NumberField.mixedEmbedding.commMap_apply_of_isReal, contDiff_smul, ProbabilityTheory.charFunDual_map_add_prod_eq_mul, FormalMultilinearSeries.changeOrigin_finite_of_finite, 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, ContinuousLinearMap.isCompact_closure_image_coe_of_bounded, VectorField.mpullback_mfderivWithin_apply_smul, VectorField.mpullbackWithin_const_smul, MeromorphicOn.smul, Finset.analyticOn_sum, Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real, Complex.taylorSeries_eq_on_ball, HasMFDerivWithinAt.mul, ContDiffWithinAt.iteratedFDerivWithin_right, TemperedDistribution.instLineDerivSMulComplex, OpenPartialHomeomorph.MDifferentiable.symm_comp_deriv, ContinuousLinearEquiv.isOpen, CStarAlgebra.conjugate_le_norm_smul, HasStrictFDerivAt.clm_apply, MeasureTheory.lpNorm_sum_le, fderiv.fst, TensorProduct.commIsometry_apply, ContinuousLinearEquiv.coe_toDiffeomorph, VectorField.mfderiv_extChartAt_inverse_comp_mfderivWithin_extChartAT_symm, ContDiffMapSupportedIn.fderivLM_apply, summable_geometric_iff_norm_lt_one, norm_midpoint_lt_iff, Module.Basis.coe_toOrthonormalBasis, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', Finset.analyticAt_sum, IsCovariantDerivativeOn.zero, HasFDerivAt.arsinh, DoubleCentralizer.norm_fst, Orientation.oangle_add_oangle_rev_neg_left, LinearMap.norm_extendOfNorm_apply_le, measurable_smul_const, MeasureTheory.L1.setToL1_add_left, WeakFEPair.functional_equation, MeasureTheory.Submartingale.sum_smul_sub, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, iteratedFDerivWithin_sub_apply, 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, intervalIntegral.integral_comp_smul_deriv''', HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, Bundle.Trivialization.prod.isLinear, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, TorusIntegrable.add, IsSelfAdjoint.linearly_dependent_of_isLocalExtrOn, 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, ProbabilityTheory.HasGaussianLaw.snd, dimH_orthogonalProjection_le, BoundedContinuousFunction.toLp_norm_le, iteratedFDerivWithin_two_apply, extDerivWithin_smul, NormedSpace.expSeries_div_hasSum_exp, instDiscreteTopologySubtypeMemSubmoduleIntComap, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.integral_countable, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_sum, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, HasStrictFDerivAt.fun_smul, lp.norm_tsum_le, MeasureTheory.withDensityᵥ_sub', ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_vsub_mem_and_norm_sq, HasStrictFDerivAt.cpow, iteratedFDeriv_fun_zero, 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, OrthogonalFamily.sum_projection_of_mem_iSup, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', CurveIntegrable.smul, BoxIntegral.Integrable.smul, LinearMap.IsSymmetric.trace_eq_sum_eigenvalues, 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, ZLattice.le_norm_of_le_abs_repr, lp.infty_isScalarTower, FormalMultilinearSeries.min_radius_le_radius_add, Complex.summable_one_div_nat_cpow, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, ContinuousLinearMap.closed_range_of_antilipschitz, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, MeasureTheory.integrable_add_iff_integrable_right, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, tendsto_integral_comp_smul_smul_of_integrable, 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, ContDiffMapSupportedIn.continuous_iff_comp_order_le, iteratedFDerivWithin_fun_zero, InnerProductSpace.span_gramSchmidt_Iio, ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_integral_of_dominated_of_fderiv_le, derivWithin_tsum, TopologicalAddGroup.IsSES.integral_inducedMeasure, HasFPowerSeriesAt.pi, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, hasFDerivAt_comp_add_left, EuclideanGeometry.Sphere.inter_orthRadius_eq_empty_iff, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', IntervalIntegrable.continuousOn_smul, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, LinearIsometry.strictConvexSpace_range_iff, Submodule.starProjection_orthogonal_apply_eq_zero, VectorFourier.fourierPowSMulRight_apply, HasFDerivWithinAt.smul, summable_prod_eisSummand, extDeriv_apply_vectorField_of_pairwise_commute, OrthonormalBasis.norm_dual, inner_eq_norm_mul_iff_real, ContMDiffWithinAt.clm_apply, 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, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, LinearMap.isSymmetric_iff_isSelfAdjoint, CPolynomialOn.fderiv, ftaylorSeries_zero, integrableOn_mul_sum_Icc, iteratedDerivWithin_fun_add, NumberField.mixedEmbedding.normAtPlace_negAt, PadicInt.mahlerEquiv_apply, SchwartzMap.convolution_flip, HasDerivWithinAt.isLittleO, MeasureTheory.L1.norm_setToL1_le_mul_norm, Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two, Module.Basis.parallelepiped_map, tsum_mul_tsum_of_summable_norm', 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, Submodule.orthogonal_le, Complex.isometryOfOrthonormal_apply, mfderiv_const, iteratedFDeriv_prodMk, ProbabilityTheory.IndepFun.hasGaussianLaw, intervalIntegral.smul_integral_comp_mul_right, Irreducible.maximalIdeal_eq_closedBall, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left', LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, MeasureTheory.withDensityᵥ_smul_eq_withDensityᵥ_withDensity, Complex.sameRay_iff, deriv_add_const, LinearMap.bound_of_sphere_bound, intervalIntegral.integral_comp_div_add, ContinuousLinearMap.abs_rayleighQuotient_le_of_norm_mem_resolventSet, MeasureTheory.integral_bilinear_hasDerivAt_right_eq_sub, ContinuousLinearMap.tendsto_of_tendsto_pointwise_of_cauchySeq, conformalFactorAt_inner_eq_mul_inner, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, TemperedDistribution.fourierMultiplierCLM_sum, ContMDiffCovariantDerivativeOn.contMDiff, RKHS.kernel_inner, 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, FormalMultilinearSeries.derivSeries_eq_zero, InnerProductSpace.laplacianWithin_smul_nhds, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, HilbertBasis.summable_inner_mul_inner, TestFunction.lineDerivCLM_smul, DifferentiableWithinAt.continuousAlternatingMap_apply, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_invariant, 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, UnconditionalSchauderBasis.bddAbove_range_nnnorm_proj, ZLattice.summable_norm_sub_zpow, Complex.imCLM_nnnorm, FormalMultilinearSeries.comp_rightInv, 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, measurableSet_of_differentiableAt_of_isComplete_with_param, ContDiffAt.fun_smul, HasFPowerSeriesWithinAt.neg, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one, Orientation.inner_rightAngleRotation_right, HasFDerivAt.hasFDerivAt_norm_smul_neg, fourierSubalgebra_closure_eq_top, ModularForm.prod_fintype_slash, GaussianFourier.integral_cexp_neg_sum_mul_add, MeasureTheory.Integrable.apply_continuousLinearMap, UniformSpace.Completion.coe_toComplL, derivWithin_comp_add_const, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, LinearMap.isSymmetric_adjoint_comp_self, derivWithin.star, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_sub, RCLike.wInner_one_const_left, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, fderivWithin_list_prod', summable_norm_iff, ProperCone.hyperplane_separation_of_notMem, OrderedFinpartition.applyOrderedFinpartition_update_left, Module.End.mem_invtSubmodule_adjoint_iff, LinearMap.continuous_of_isClosed_ker, Unitization.complex_cfcₙ_eq_cfc_inr, orthogonalFamily_iff_pairwise, ZSpan.map_fundamentalDomain, DifferentiableWithinAt.continuousMultilinear_apply_const, fderiv_clm_apply, 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, ProbabilityTheory.stdGaussian_eq_map_pi_orthonormalBasis, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, Submodule.inf_orthogonal_eq_bot, Complex.starConvex_slitPlane, HasFDerivWithinAt.fun_mul', ContinuousLinearEquiv.ofBijective_symm_apply_apply, MeasureTheory.norm_condExpInd_le, TestFunction.monoCLM_apply, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, BoundedContinuousFunction.toContinuousMapₐ_apply, curveIntegralFun_trans_aeeq_left, fderivWithin_smul_const, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ProbabilityTheory.iIndepFun.hasGaussianLaw_sum, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, ContMDiffFiberwiseLinear.locality_aux₁, AnalyticOn.fun_const_smul, Submodule.isOrtho_sSup_left, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, LinearMap.range_self_comp_adjoint, MeasureTheory.MemLp.toLp_add, DiffContOnCl.const_add, ModularForm.discriminant_S_invariant, LinearMap.polar_isClosed, ContinuousMultilinearMap.analyticWithinAt, TopologicalAddGroup.IsSES.pushforward_mono, NumberField.mixedEmbedding.negAt_apply_norm_isReal, fderiv_star, MeasureTheory.integrable_comp_smul_iff, derivWithin_fun_const_smul', HasFPowerSeriesWithinAt.unshift, MeasureTheory.Measure.addHaar_preimage_linearEquiv, SchauderBasis.enorm_proj_le_enormProjBound, 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, ContinuousLinearMap.tendsto_birkhoffAverage_orthogonalProjection, IsMIntegralCurveAt.comp_mul_ne_zero, intervalIntegral.integral_interval_add_Ioi', HasDerivAt.tendsto_slope_zero, Submodule.norm_starProjection_apply, Filter.EventuallyEq.iteratedFDeriv, fderivWithin_continuousLinearEquiv_comp, ProbabilityTheory.Kernel.integral_integral_add'_comp, IsSelfAdjoint.hasEigenvector_of_isLocalExtrOn, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, hasDerivAtFilter_pi, stereographic_apply, MeasureTheory.inner_condExpL2_eq_inner_fun, Complex.summable_log_one_add_of_summable, 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, intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonneg, 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, OrthogonalFamily.independent, differentiableWithinAt_smul_iff, MeasureTheory.condExpInd_disjoint_union_apply, fderivWithin_pow_ring', ContinuousLinearMap.analyticOn_uncurry_of_multilinear, FormalMultilinearSeries.changeOrigin_eval, ZLattice.covolume_comap, LSeries.term_sum_apply, ZSpan.fract_zSpan_add, 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, MeasureTheory.L1.setToL1_simpleFunc_indicatorConst, IsSelfAdjoint.adjoint_conj, Complex.taylorSeries_eq_on_eball', MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left, VonNeumannAlgebra.mem_commutant_iff, exists_embedding_euclidean_of_compact, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, ProbabilityTheory.iIndepFun.charFunDual_map_fun_finset_sum_eq_prod, ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero, HasFPowerSeriesAt.prod, LinearMap.toSeminorm_apply, LinearIsometryEquiv.toLinearIsometry_rTensor, VectorPrebundle.contMDiffOn_contMDiffCoordChange, Orientation.areaForm_apply_self, intervalIntegral.integral_deriv_smul_comp_of_deriv_nonneg, 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, IsCovariantDerivativeOn.torsion_apply_eq_extend, 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, Submodule.orthogonalProjection_orthogonal_apply_eq_zero, MeasureTheory.VectorMeasure.exists_extension_of_isSetSemiring_of_le_measure_of_dense, MeasureTheory.Measure.addHaar_closedBall, PeriodPair.derivWeierstrassPExcept_add_coe, HasFPowerSeriesWithinAt.add, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le', Submodule.starProjection_mem_subspace_eq_self, MeasureTheory.L1.setToL1_zero_left', ContDiffMapSupportedIn.fderivCLM_apply_of_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, DifferentiableOn.add, Submodule.angle_coe, InnerProductSpace.gramSchmidt_linearIndependent, Real.tendsto_integral_gaussian_smul, DifferentiableWithinAt.clm_apply, HasMFDerivAt.prodMk, HasStrictFDerivAt.to_local_left_inverse, MeasureTheory.integrable_add_iff_integrable_left, FormalMultilinearSeries.id_apply_of_one_lt, hasFDerivAt_integral_of_dominated_of_fderiv_le'', ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, HasFDerivWithinAt.fun_pow', IntervalIntegrable.integral_smul, CuspFormClass.zero_at_infty_slash, differentiable_pi'', HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, TensorProduct.norm_tmul, summable_sum_mul_antidiagonal_of_summable_norm', deriv_star_conj, LinearMap.isPositive_iff, MeasureTheory.L1.norm_Integral_le_one, ContinuousLinearMap.measurable_apply', HasStrictFDerivAt.continuousAlternatingMap_apply_const, ContDiffMapSupportedIn.coe_coeHom, VectorFourier.fourierIntegral_comp_add_right, MeasureTheory.condExp_bilin_of_stronglyMeasurable_right, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, MeromorphicOn.fun_sum, CovariantDerivative.torsion_self, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, DifferentiableAt.clm_apply, UnitAddTorus.span_mFourier_closure_eq_top, ContDiff.dimH_range_le, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, DifferentiableOn.finCons, 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, HasFDerivAt.comp_semilinear, intervalIntegral.integral_deriv_smul_comp''', Filter.Tendsto.cesaro_smul, extDeriv_extDeriv_apply, ContinuousAffineMap.fst_decompLinearIsometryEquiv, VectorField.pullback_eq_of_fderiv_eq, 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, extDeriv_pullback, Continuous.fourierPowSMulRight, differentiableOn_apply, ZLattice.normBound_spec, HasSumUniformlyOn.of_norm_le_summable, ProbabilityTheory.HasGaussianLaw.fst, 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, MeasureTheory.setToFun_const, 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, Bundle.Pretrivialization.continuousLinearMap_symm_apply', OrthonormalBasis.coe_equiv_euclideanSpace, VectorFourier.fourierIntegral_probChar, summable_cotTerm, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, continuousWithinAt_hom_bundle, AlternatingMap.measure_parallelepiped, RCLike.wInner_one_eq_sum, derivWithin_finset_prod, UnconditionalSchauderBasis.nnnorm_proj_le_nnnormProjBound, fderivWithin.fst, HasFDerivAt.mul_const', PeriodPair.weierstrassPExceptSeries_hasSum, MeasureTheory.charFunDual_map, hasFDerivWithinAt_add_const_iff, HasFiniteFPowerSeriesOnBall.fderiv', Orientation.two_zsmul_oangle_smul_left_self, ContinuousLinearMap.ofTendstoOfBoundedRange_apply, Bundle.Trivialization.pullback_linear, 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, tendsto_sum_mul_atTop_nhds_one_sub_integral, 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, contDiff_tsum, UnitAddTorus.hasSum_mFourier_series_apply_of_summable, HasStrictFDerivAt.fun_pow', continuousMultilinearCurryRightEquiv_apply', GeneralSchauderBasis.range_proj_eq_span, ZLattice.covolume.tendsto_card_le_div'', TestFunction.instLineDerivSMulTopENat, 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, AnalyticAt.compContinuousLinearMap, DoubleCentralizer.natCast_snd, VonNeumannAlgebra.coe_commutant, ContDiffMapSupportedIn.bounded_iteratedFDeriv, MeasureTheory.SimpleFunc.integral_const, MeromorphicOn.negPart_divisor_add_le_add, mfderiv_smul, 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, HasDerivAtFilter.finCons, MeasureTheory.integral_tsum, AffineSubspace.direction_perpBisector, MeasureTheory.integral_deriv_smul_comp_Ioi, Besicovitch.multiplicity_le, LinearIsometryEquiv.toMatrix_mem_unitaryGroup, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesOnBall.changeOrigin, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOn, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, HasFDerivWithinAt.const_rpow, FormalMultilinearSeries.leftInv_removeZero, ContMDiffWithinAt.clm_prodMap, deriv_const_smul', ContinuousLinearMap.isOpenMap, ContDiffMapSupportedIn.fderivCLM_apply, PadicInt.continuousAddCharEquiv_symm_apply, intervalIntegral.integral_comp_mul_right, ContDiffWithinAt.iteratedFDerivWithin_comp_perm, LinearMap.IsSymmetric.LinearMap.IsSymmetric.directSum_isInternal_of_pairwise_commute, LSeriesHasSum.sum, ProbabilityTheory.Kernel.integral_integral_add_comp, MeasureTheory.L1.setToL1_mono, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, TestFunction.fderivCLM_apply, ClosedSubmodule.orthogonal_disjoint, CompletelyPositiveMap.map_cstarMatrix_nonneg', IsLocalFrameOn.coeff_eq_of_eq, Differentiable.fun_add_iff_left, iteratedFDerivWithin_const_of_ne, MeasureTheory.integral_concaveOn_of_integrand_ae, 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, SchwartzMap.fourierMultiplierCLM_fourierMultiplierCLM_apply, coe_ringEquiv_lpBCF_symm, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, MeasureTheory.integral_iUnion, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, Real.hasFDerivAt_fourierChar_neg_bilinear_right, MeasureTheory.integral_comp_smul_deriv_Ioi, ContinuousLinearMap.IsIdempotentElem.isSelfAdjoint_iff_isStarNormal, DifferentiableAt.smul_const, summable_bernoulli_fourier, Real.fourier_continuousMultilinearMap_apply, 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, DifferentiableOn.continuousAlternatingMap_apply_const, ModelWithCorners.coe_transContinuousLinearEquiv, SeparatingDual.completeSpace_continuousMultilinearMap_iff, Submodule.orthogonal_le_iff_orthogonal_le, norm_iteratedFDerivWithin_mul_le, VectorFourier.norm_fourierSMulRight, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, InnerProductSpace.volume_closedBall, ContinuousLinearEquiv.coord_norm', DifferentiableOn.star, HasFPowerSeriesOnBall.hasSum_sub, EisensteinSeries.summable_e2Summand_symmetricIco, fderivWithin_continuousAlternatingMap_apply, LinearEquiv.extend_apply, GaussianFourier.integrable_cexp_neg_sum_mul_add, iteratedDerivWithin_comp_eq_sum_orderedFinpartition, ContinuousLinearMap.IsStarProjection.isSymmetricProjection, 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.support_singularValues, ProbabilityTheory.IndepFun.hasGaussianLaw_sub_of_sub, LinearMap.mem_span_iff_bound, homeomorphSphereProd_apply_fst_coe, ContinuousOn.cfcₙ_nnreal, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_sub, 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, MDifferentiable.clm_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, LinearEquiv.extendOfIsometry_eq, 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', Real.iteratedDeriv_fourierIntegral, iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, intervalIntegral.integral_interval_add_interval_comm, MeasureTheory.integral_integral_add', MeasureTheory.setIntegral_finset, Submodule.starProjection_le_starProjection_iff, iteratedDerivWithin_vcomp_eq_sum_orderedFinpartition, iteratedFDerivWithin_zero_fun, MeasureTheory.integral_piecewise, InnerProductSpace.volume_closedBall_of_dim_odd, 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, ContMDiffAt.clm_apply, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, ContinuousAlternatingMap.differentiable, Differentiable.fun_sum, FormalMultilinearSeries.radius_rightInv_pos_of_radius_pos_aux2, 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, Real.Angle.toReal_add_eq_toReal_add_toReal, MDifferentiable.clm_precomp, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, MDifferentiable.clm_comp, Real.differentiable_fourierChar_neg_bilinear_left, MeasureTheory.lpNorm_expect_le, Submodule.instOrthogonalCompleteSpace, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ContDiffMapSupportedIn.fderivLM_apply_of_le, EisensteinSeries.summable_linear_right_add_one_mul_linear_right, ModularForm.is_invariant_const, AffineBasis.centroid_mem_interior_convexHull, ProbabilityTheory.HasGaussianLaw.toLp_prodMk, ContMDiff.clm_comp, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, fderiv_norm_smul_pos, MeasureTheory.L1.SimpleFunc.setToL1S_add, FormalMultilinearSeries.le_radius_pi, continuousMultilinearCurryLeftEquiv_symm_apply, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, WithLp.unitization_mul, UnitAddTorus.mFourierCoeff_eq_integral, 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, Convex.second_derivative_within_at_symmetric_of_mem_interior, 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, LinearMap.orthogonal_range, 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, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, summable_geometric_of_norm_lt_one, MeasureTheory.SimpleFunc.map_integral, tendstoUniformly_tsum, LinearMap.singularValues_of_lt, InnerProductSpace.euclideanHausdorffMeasure_eq_volume, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, ProbabilityTheory.instIsGaussianMapHAdd, VonNeumannAlgebra.instStarMemClass, AntilipschitzWith.completeSpace_range_clm, CovariantDerivative.torsion_apply_eq_extend, ContDiffMapSupportedIn.fderivLM_apply_of_gt, EuclideanSpace.restrict₂_apply, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, Convex.norm_image_sub_le_of_norm_fderiv_le', 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, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left, 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, Module.Basis.opNNNorm_le, Orientation.areaForm_rightAngleRotation_right, MeasureTheory.setIntegral_condExpL1CLM, ContDiffAt.continuousAt_iteratedFDeriv, ContMDiffWithinAt.clm_precomp, 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, ContinuousLinearMap.coe_complexOfReal, 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, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, LinearMap.IsSymmetric.re_trace_eq_sum_eigenvalues, intervalIntegral.integral_comp_mul_add, FormalMultilinearSeries.radius_pi_le, hom_trivializationAt_baseSet, Submodule.orthogonal_eq_inter, VectorFourier.integral_fourierIntegral_smul_eq_flip, ContinuousLinearMap.mdifferentiableOn, summable_of_isBigO', MeasureTheory.eLpNorm_condExpL2_le, Complex.integral_boundary_rect_of_differentiableOn_real, PadicInt.mahlerEquiv_symm_apply, Orientation.inner_smul_rotation_pi_div_two_smul_left, iteratedFDeriv_sub_apply, 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, LinearMap.antilipschitz_of_comap_nhds_le, MeasureTheory.condExp_bot', SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, extDerivWithin_apply, 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, iteratedDerivWithin_tsum, 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, HasFDerivAtFilter.finCons, 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, summable_of_summable_hasDerivAt, PadicInt.continuousAddCharEquiv_apply, 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, SchauderBasis.RankOneDecomposition.proj_comp, Asymptotics.IsLittleO.sum_range, MeasureTheory.integral_bilinear_hasDerivAt_eq_sub, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, ContMDiff.clm_precomp, VonNeumannAlgebra.instSubringClass, NormedSpace.expSeries_hasSum_exp_of_mem_ball', fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, 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, Real.hasDerivAt_fourierIntegral, fderivWithin_fun_const_smul, Bundle.ContinuousLinearMap.memTrivializationAtlas, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContMDiffOn.clm_prodMap, ContinuousMapZero.adjoin_id_dense, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono, 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, InnerProductSpace.HarmonicContOnCl.fun_add, FormalMultilinearSeries.derivSeries_apply_diag, ContMDiffWithinAt.clm_comp, NormedSpace.polar_closedBall, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup, ContinuousLinearEquiv.differentiableWithinAt, ClosedSubmodule.symplComp_sup, 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, HasFPowerSeriesWithinOnBall.hasSum, coe_innerₛₗ_apply, ProbabilityTheory.covarianceBilinDual_of_not_memLp, lp.star_apply, FormalMultilinearSeries.norm_changeOriginSeriesTerm, MeromorphicAt.fun_add, TemperedDistribution.smulLeftCLM_smul, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn, 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, Differentiable.continuousAlternatingMap_apply, integral_bilinear_hasFDerivAt_right_eq_neg_left_of_integrable, 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, Module.Basis.opNorm_le, isInvertible_mfderivWithin_extChartAt_symm, ModelWithCorners.coe_transContinuousLinearEquiv_symm, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, mulInvariantVectorField_smul, Real.tsum_eq_tsum_fourierIntegral, differentiable_finCons, ModularForm.coe_translate, hasDerivAt_const_add_iff, MeasureTheory.integral_Icc_deriv_smul_of_deriv_nonpos, ProperCone.innerDual_iUnion, HasFDerivAt.prodMap, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', norm_injOn_ray_left, MeromorphicOn.finsum, 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, MeasureTheory.Measure.euclideanHausdorffMeasure_smul₀, 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, MeasureTheory.isAddHaarMeasure_euclideanHausdorffMeasure, meromorphicOrderAt_add_of_top_right, ContinuousLinearMap.rayleighQuotient_neg_apply, HasFDerivAtFilter.isEquivalent_sub, ContinuousMultilinearMap.apply_zero_uncurry0, HasStrictFDerivAt.fun_mul, Complex.hasSum_arctan, ContinuousLinearMap.norm_holderL_le, LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous_symm, 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, ProbabilityTheory.HasGaussianLaw.eval, 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, hasStrictFDerivAt_pi'', MeasureTheory.L1.setToL1'_eq_setToL1SCLM, range_derivWithin_subset_closure_span_image, HasStrictFDerivAt.sinh, Complex.hasSum_cosh, ContinuousLinearMap.finite_dimensional_eigenspace, ContinuousLinearMap.locallyIntegrableOn_comp, 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, ContinuousLinearMap.exists_nnnorm_eq_one_lt_apply_of_lt_opNNNorm, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, MDifferentiableWithinAt.smul, HasMFDerivWithinAt.comp, Complex.isometryOfOrthonormal_symm_apply, IsCovariantDerivativeOn.affine_combination, HasStrictFDerivAt.implicitFunctionOfComplemented_apply_image, MeasureTheory.weightedSMul_smul_measure, VectorField.lieBracket_smul_right, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, ContinuousLinearMap.coeFn_ofSeqClosedGraph, intervalIntegral.integral_hasFDerivAt, ProperCone.innerDual_toSubmodule, PeriodPair.summable_weierstrassPExceptSummand, LinearMap.self_comp_adjoint_injective_iff, 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, TestFunction.lineDerivCLM_apply_of_gt, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_real, ContinuousAlternatingMap.hasFDerivAt, FormalMultilinearSeries.summable, HasFPowerSeriesAt.locally_zero_iff, ProbabilityTheory.IndepFun.charFun_map_fun_add_eq_mul, InnerProductSpace.laplacian_CLE_comp_left, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, summable_of_isBigO_nat', MeasureTheory.IntegrableOn.continuousOn_smul_of_subset, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, MeasureTheory.VectorMeasure.exists_extension_of_isSetRing_of_le_measure_of_dense, eventually_norm_trivializationAt_lt, TensorProduct.congrIsometry_apply, integral_withDensity_eq_integral_smul₀, Submodule.starProjection_comp_starProjection_of_le, 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, IsCovariantDerivativeOn.torsion_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, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, ContinuousLinearMap.isPositive_sum, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, MeasureTheory.L1.SimpleFunc.setToL1SCLM_nonneg, Orientation.oangle_smul_right_self_of_nonneg, HasStrictFDerivAt.inner, TopologicalGroup.IsSES.integrate_mono, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, 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, integral_bilinear_fderiv_right_eq_neg_left_of_integrable, ProbabilityTheory.isGaussian_stdGaussian, 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, DifferentiableAt.comp_semilinear₂, 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, tendsto_integral_comp_smul_smul_of_integrable', 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, OrthogonalFamily.pairwise, HasStrictFDerivAt.const_add, LinearMap.IsSymmetric.toMatrix_eigenvectorBasis, continuous_stereoInvFun, MellinConvergent.cpow_smul, ContDiffOn.fun_smul, ContinuousLinearMap.iteratedFDeriv_comp_left, HurwitzZeta.hasSum_nat_hurwitzZetaOdd_of_mem_Icc, Real.fourierIntegral_deriv, ContinuousLinearMap.isCompact_image_coe_of_bounded_of_weak_closed, Submodule.orthogonalProjection_eq_zero_iff, ContinuousLinearMap.holderL_apply_apply, FormalMultilinearSeries.comp_rightInv_aux2, HasFDerivAt.isEquivalent_sub, 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, ZLattice.covolume.tendsto_card_div_pow'', 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, ContinuousLinearMap.HasLeftInverse.of_injective_of_isClosed_range_of_closedComplement_range, Finset.analyticWithinAt_fun_sum, MeasureTheory.LocallyIntegrableOn.continuousOn_smul, HasStrictFDerivAt.sub, Real.fourierIntegral_real_eq, HasStrictFDerivAt.csinh, ContMDiffWithinAt.cle_arrowCongr, Real.circleAverage_fun_add, fderiv_const_smul_of_field, ContinuousLinearEquiv.coe_ofBijective, 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, Submodule.orthogonalProjection_starProjection_of_le, GeneralSchauderBasis.proj_comp, OrthonormalBasis.sum_repr', continuousMultilinearCurryRightEquiv_apply, ContinuousLinearMap.integrableOn_comp, 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, ContinuousLinearMap.IsIdempotentElem.hasOrthogonalProjection_range, 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, UnconditionalSchauderBasis.exists_norm_proj_le, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left', 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, intervalIntegral.integral_deriv_smul_comp'', SmoothPartitionOfUnity.IsSubordinate.contMDiff_finsum_smul, UnitAddTorus.span_mFourierLp_closure_eq_top, fderivWithin_comp_smul, Orientation.rotation_symm_apply, ZMod.LFunction_dft, ContinuousLinearMap.orthogonal_mem_invtSubmodule, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, VectorFourier.integrable_fourierPowSMulRight, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, PeriodPair.analyticOnNhd_weierstrassP, HasMFDerivAt.mul', HasFPowerSeriesAt.compContinuousLinearMap, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, HurwitzZeta.hasSum_int_completedHurwitzZetaEven, tendstoUniformlyOn_tsum_nat_eventually, WeakFEPair.f_modif_aux2, HasFDerivAt.star_star, continuousOn_cfcₙ_nnreal_setProd, fderivWithin_clm_apply, fderivWithin_fst, exists_continuousLinearEquiv_fderivWithin_symm_eq, HasStrictFDerivAt.implicitFunction_apply_image, 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, fderiv_continuousAlternatingMap_apply_const_apply, Differentiable.smul_const, RCLike.hasSum_conj', ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, InnerProductGeometry.IsConformalMap.preserves_angle, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, LinearMap.polar_mem, ApproximatesLinearOn.lipschitzOnWith, Orthonormal.tmul, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, LinearMap.tendsto_birkhoffAverage_of_ker_subset_closure, ContinuousLinearMap.norm_holder_apply_apply_le, ClosedSubmodule.involutive_mulI, LinearMap.isPositive_one, ClosedSubmodule.symplComp_inf, Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two, intervalIntegral.integral_deriv_smul_comp, mfderivWithin_sumSwap, MeasureTheory.charFun_map_const_add, differentiable_tsum, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, MeasureTheory.AEEqFun.Integrable.add, fderivWithin_sum, RKHS.posSemidef_kernel, 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, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, mfderiv_prod_left, HasStrictFDerivAt.clm_comp, iteratedFDeriv_tsum_apply, 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, TemperedDistribution.lineDeriv_eq_fourierMultiplierCLM, 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, BoxIntegral.HasIntegral.mcShane_of_forall_isLittleO, Submodule.exists_norm_eq_iInf_of_complete_subspace, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, MDifferentiableWithinAt.clm_prodMap, HasFDerivAt.fun_mul', intervalIntegral.integral_add_adjacent_intervals_cancel, ContMDiffAt.clm_comp, 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, HasStrictFDerivAt.continuousMultilinearMap_apply, MeasureTheory.weightedSMul_zero_measure, taylor_within_apply, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, LinearPMap.adjointAux_inner, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, ContDiffBump.convolution_tendsto_right_of_continuous, WithCStarModule.prod_inner, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzSet, MeasureTheory.integrable_add_iff_integrable_left', Real.Angle.tan_periodic, fderivInnerCLM_apply, eventually_norm_mfderiv_extChartAt_lt, ProbabilityTheory.HasGaussianLaw.sum, ContinuousMultilinearMap.curryFinFinset_apply, MeasureTheory.Lp.const_val, EuclideanGeometry.orthogonalProjection_eq_iff_mem, ProbabilityTheory.HasGaussianLaw.charFunDual_map_eq, 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, FormalMultilinearSeries.changeOriginSeriesTerm_bound, 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, MeasureTheory.L1.setToL1'_apply_coeToLp, 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, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, 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, ProbabilityTheory.integral_poissonMeasure', MeasureTheory.L1.setToL1_const, 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, Real.fourierIntegral_continuousMultilinearMap_apply', IsSymmSndFDerivWithinAt.eq, CurveIntegrable.add, fderivWithin_restrictScalars_comp, OpenPartialHomeomorph.hasFDerivAt_symm, IsLocalExtr.hasFDerivAt_eq_zero, MeasureTheory.integral_add, hasFPowerSeriesAt_iff', tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm', hasFDerivAt_tsum_of_isPreconnected, Real.fourier_eq', fderivWithin_fun_sum, MeasureTheory.charFunDual_eq_prod_iff', summable_of_summable_hasFDerivAt_of_isPreconnected, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, DFinsupp.sum_inner, MeasureTheory.continuous_L1_toL1, InnerProductSpace.laplacianWithin_CLE_comp_left, Real.fourierIntegral_iteratedFDeriv, hasMellin_const_smul, deriv_const_smul_field, mulInvariantVectorField_add, Submodule.orthogonalProjection_norm_le, Bundle.Trivialization.coe_continuousLinearEquivAt_eq', HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, Matrix.PosDef.posDef_sqrt, WeakFEPair.Λ_residue_k, DifferentiableAt.sum, Function.HasTemperateGrowth.isBigO_uniform, InnerProductSpace.volume_ball_of_dim_even, differentiableOn_snd, LinearMap.ker_le_ker_of_range, 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, derivWithin_clm_apply, GeneralSchauderBasis.linearIndependent, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, fderiv_single, hom_trivializationAt_target, RCLike.ofReal_sum, SchwartzMap.fourierMultiplierCLM_smul, CircleIntegrable.add, finrank_euclideanSpace_fin, MeasureTheory.MemLp.toLp_const_smul, ZLattice.comap_span_top, 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.L1.setToL1_lipschitz, 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, MDifferentiableWithinAt.clm_apply, HasCompactSupport.convolution_integrand_bound_right, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, MeasureTheory.setToFun_finset_sum', integral_comp_pi_polarCoord_symm, BoxIntegral.Integrable.add, norm_add_lt_of_not_sameRay, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, deriv_add, SchauderBasis.RankOneDecomposition.e_mem_range, MeasureTheory.setToFun_eq, VectorField.leibniz_identity_lieBracketWithin, HasDerivAt.comp_semilinear, MeasureTheory.integral_iUnion_ae, Differentiable.star, MeasureTheory.condExpL2_comp_continuousLinearMap, ModularForm.is_invariant_one, InnerProductSpace.symm_toEuclideanLin_rankOne, MeasureTheory.Lp.coeFn_star, QuotientGroup.integral_mul_eq_integral_automorphize_mul, inCoordinates_tangent_bundle_core_model_space, isOpen_setOf_linearIndependent, NormedSpace.expSeries_hasSum_exp_of_mem_ball, ZSpan.setFinite_inter, intervalIntegral.integral_deriv_smul_deriv_comp', PeriodPair.derivWeierstrassPExcept_def, ContMDiffAt.cle_arrowCongr, differentiableOn_const_add_iff, MeasureTheory.Supermartingale.add, AnalyticOnNhd.eval_continuousLinearMap, hasStrictFDerivAt_pi, Asymptotics.IsEquivalent.summable_iff_nat, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, HasFDerivAt.clm_comp, 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, ContinuousLinearMap.isQuotientMap, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, LSeries_eq_mul_integral', DifferentiableWithinAt.smul, ContDiffMapSupportedIn.structureMapLM_apply, CStarAlgebra.span_unitary, ContinuousLinearMap.circleAverage_comp_comm, fderiv_tsum_apply, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, derivWithin_const_smul', VectorPrebundle.contMDiffCoordChange_apply, ContinuousLinearMap.isUniformEmbedding_of_bound, 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, RCLike.re_tsum, 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, second_derivative_symmetric_of_eventually_of_real, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, DifferentiableAt.fun_add_iff_left, MeasureTheory.condExpL2_const_inner, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, curveIntegrable_restrictScalars_iff, EisensteinSeries.D2_mul, MeasureTheory.integral_countable', IsCoercive.isClosed_range, TemperedDistribution.laplacianCLM_apply, isBigO_rpow_zero_log_smul, ZSpan.ceil_eq_self_of_mem, contMDiffWithinAt_hom_bundle, HasDerivAt.star_conj, ProperCone.innerDual_innerDual, LinearMap.bound_of_ball_bound, TensorProduct.ext_iff_inner_right_threefold, mem_contMDiffFiberwiseLinear_iff, curveIntegralFun_def, Matrix.tracePositiveLinearMap_apply, Submodule.coe_prodEquivOfClosedCompl, ftaylorSeriesWithin_fun_zero, ContinuousAlternatingMap.alternatizeUncurryFin_apply, ContinuousLinearMap.intervalIntegral_comp_comm, Complex.im_tsum, hasDerivAt_finCons, Orientation.areaForm_rightAngleRotation_left, HasFDerivAt.smul, ContinuousLinearMap.contMDiffAt, Real.deriv_fourier, 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, SchauderBasis.sum_succSub, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, MemHolder.smul_iff, hasFPowerSeriesAt_iff, HasStrictFDerivAt.exp, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NumberField.mixedEmbedding.disjoint_negAt_plusPart, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorph_source, MeasureTheory.integral_convolution, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, HasStrictFDerivAt.eq_implicitFunction, 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, TopologicalAddGroup.IsSES.integrate_apply, aestronglyMeasurable_withDensity_iff, InnerProductGeometry.ConformalAt.preserves_angle, Affine.Simplex.points_vsub_eulerPoint, TensorProduct.assocIsometry_symm_apply, Submodule.starProjection_tendsto_closure_iSup, Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two, hasFDerivAt_exp_of_mem_ball, InnerProductGeometry.angle_smul_left_of_pos, LinearMap.exists_map_addHaar_eq_smul_addHaar', InnerProductSpace.gramSchmidt_mem_span, iteratedFDerivWithin_add_apply', domain_mvt, 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, SchwartzMap.laplacian_eq_fourierMultiplierCLM, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, HasFDerivAtFilter.hasDerivAtFilter, TensorProduct.inner_map_map, MeasureTheory.Measure.integral_comp_div, intervalIntegral.integral_const, const_smul_mfderiv, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_sub, fderiv_norm_sq, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, MeasureTheory.Measure.toSphere_apply_univ', HasMFDerivAt.const_smul, LinearMap.IsPositive.toLinearMap_symm, HasDerivAtFilter.fun_sum, IsCovariantDerivativeOn.finite_affine_combination, 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, ContinuousMap.hasSum_of_hasSum_Lp, OrthogonalFamily.projection_directSum_coeAddHom, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, ApproximatesLinearOn.to_inv, TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, surjective_stereographic, ContinuousLinearMap.mdifferentiableAt, Complex.tendsto_tsum_powerSeries_nhdsWithin_lt, 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, ContMDiff.cle_arrowCongr, 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, extDeriv_apply, ModularForm.SL_smul_slash, mfderiv_prod_eq_add_apply, ODE.picard_apply, MeasureTheory.condExpL2_indicator_nonneg, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, NumberField.mixedEmbedding.convexBodyLT'_convex, ProbabilityTheory.charFunDual_stdGaussian, Submodule.coe_prodEquivOfClosedCompl_symm, DoubleCentralizer.add_toProd, MeasureTheory.charFun_map_add_const, MeasureTheory.Integrable.smul_of_top_right, MeasureTheory.ae_comp_linearMap_mem_iff, HasDerivWithinAt.finCons, HasStrictDerivAt.clm_apply, HasFDerivWithinAt.sum, TemperedDistribution.smulLeftCLM_apply_apply, summable_jacobiTheta₂_term_iff, HasDerivAt.tendsto_slope_zero_right, AddCircle.ergodic_zsmul_add, ContinuousLinearMap.closure_preimage, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, IsSymmSndFDerivWithinAt.iteratedFDerivWithin_cons, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, hasSum_mellin_pi_mul_sq, MeasureTheory.SimpleFunc.map_setToSimpleFunc, hasFDerivAt_pi, mfderivWithin_comp, Orientation.inner_mul_areaForm_sub, ContinuousLinearMap.is_weak_closed_closedBall, ContinuousLinearMap.opNorm_le_of_re_inner_le, differentiableOn_fst, ContinuousLinearMap.hasDerivAt_of_bilinear, ProbabilityTheory.covarianceOperator_of_not_memLp, InnerProductSpace.HarmonicAt.add, inner_matrix_col_col, DirectSum.IsInternal.subordinateOrthonormalBasisIndex_def, hasFDerivWithinAt_snd, MeasureTheory.Measure.addHaar_closedBall', Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, uniformConvexOn_zero, HasFDerivAt.comp_hasDerivAt_of_eq, ContMDiff.coordChangeL, GeneralSchauderBasis.finrank_range_proj, 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.L1.SimpleFunc.setToL1SCLM_add_left', 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, ContinuousLinearMap.LinearMap.IsSymmetricProjection.isStarProjection, 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, hasFDerivAt_integral_of_dominated_loc_of_lip, DifferentiableWithinAt.add_const, tendsto_smul_comp_nat_floor_of_tendsto_nsmul, ContMDiffMap.coeFnLinearMap_apply, Submodule.isHilbertSumOrthogonal, DoubleCentralizer.neg_fst, ZLattice.abs_repr_le, VectorField.mlieBracket_smul_right, CStarMatrix.inner_toCLM_conjTranspose_right, HasFDerivWithinAt.cosh, norm_jacobiTheta₂_term_fderiv_le, MeasureTheory.taylorWithinEval_charFun_zero, HasDerivAtFilter.fun_const_smul, LinearMap.singularValues_eq_zero_iff_le_finrank_range, EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIF, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, MeasureTheory.integral_sum_dirac, 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, ContinuousLinearMap.antilipschitz_of_forall_le_inner_map, MDifferentiableAt.clm_apply, 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, HasMFDerivWithinAt.mfderivWithin_eq_zero, LinearMap.IsPositive.conj_adjoint, ContinuousMultilinearMap.uncurryRight_norm, MeasureTheory.Measure.addHaar_real_closedBall, EuclideanGeometry.angle_const_vadd, MeasureTheory.integral_sum_dirac_eq_tsum, lp.ext_continuousLinearMap_iff, 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, MeasureTheory.AEStronglyMeasurable.apply_continuousLinearMap, Unitization.cfcₙ_eq_cfc_inr, MeasureTheory.average_eq, ContinuousLinearEquiv.mfderivWithin_eq, MeasureTheory.integral_bilinear_hasDerivAt_right_eq_neg_left_of_integrable, LinearMap.IsSymmetric.orthogonalComplement_mem_invtSubmodule, PadicInt.addChar_of_value_at_one_def, curveIntegralFun_zero, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, 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', HasFDerivAt.continuousMultilinearMap_apply, Complex.hasSum_taylorSeries_on_eball, QuadraticMap.hasLineDerivAt, HasStrictFDerivAt.snd, MeasureTheory.Measure.integral_comp_inv_mul_right, Besicovitch.SatelliteConfig.exists_normalized_aux3, ContinuousLinearMap.coeFn_ofIsClosedGraph, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, 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, MeasureTheory.hasSum_integral_sum_dirac, Complex.reCLM_apply, MeasureTheory.L1.SimpleFunc.setToL1S_smul, fderivWithin_pow', ContinuousLinearEquiv.ofBijective_apply_symm_apply, Orientation.abs_volumeForm_apply_le, PeriodPair.differentiableOn_derivWeierstrassPExcept, continuousMultilinearCurryFin1_apply, summable_imp_tendsto_of_complete, IsCoercive.antilipschitz, LinearMap.card_support_singularValues, LeftInvariantDerivation.evalAt_apply, UpperHalfPlane.petersson_slash, EisensteinSeries.tsum_symmetricIco_tsum_sub_eq, hasFDerivAt_finset_prod, unitary.linearIsometryEquiv_coe_apply, HilbertBasis.finite_spans_dense, mfderiv_id, MeasureTheory.Measure.addHaar_image_homothety, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne, norm_iteratedFDeriv_clm_apply_const, LinearIsometry.adjoint_comp_self, Orientation.oangle_add_oangle_rev_neg_right, mfderivWithin_comp_of_eq bridge: BoxIntegral.hasIntegralIndicatorConst, BoxIntegral.HasIntegral.of_bRiemann_eq_false_of_forall_isLittleO

NormedAddGroup

Definitions

Name	Category	Theorems
toENormedAddMonoid 📖	CompOp	98 math math: Function.Periodic.intervalIntegrable, Function.Periodic.intervalIntegrable_iff, IntervalIntegrable.smul_continuousOn, intervalIntegral.intervalIntegrable_one_div_one_add_sq, curveIntegrable_segment, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, circleIntegrable_iff, intervalIntegrable_bernoulliFun, intervalIntegral.intervalIntegrable_inv, MonotoneOn.intervalIntegrable, IntervalIntegrable.neg, IntervalIntegrable.zero, intervalIntegral.integrable_comp_mul_deriv_iff_of_deriv_nonneg, Filter.Tendsto.eventually_intervalIntegrable, IntervalIntegrable.comp_sub_left_iff, intervalIntegral.intervalIntegrable_of_integral_ne_zero, MonotoneOn.intervalIntegrable_deriv, intervalIntegral.intervalIntegrable_zpow, IntervalIntegrable.mul_continuousOn, intervalIntegral.intervalIntegrable_inv_one_add_sq, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, BoundedVariationOn.intervalIntegrable_deriv, intervalIntegral.intervalIntegrable_sin, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_within_diff_singleton, intervalIntegral.intervalIntegrable_log, Function.Periodic.intervalIntegrable₀, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_filter, intervalIntegral.intervalIntegrable_cos, tendsto_norm_neg_add_self_nhdsNE, intervalIntegral.intervalIntegrable_rpow, Polynomial.intervalIntegrable_mahlerMeasure, intervalIntegrable_sub_inv_iff, intervalIntegral.intervalIntegrable_cpow, AntitoneOn.intervalIntegrable, CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_left, MonotoneOn.intervalIntegrable_slope, intervalIntegrable_of_odd₀, intervalIntegrable_of_odd, IntervalIntegrable.log, intervalIntegral.intervalIntegrable_id, intervalIntegrable_of_even₀, Continuous.intervalIntegrable, ContinuousOn.intervalIntegrable_of_Icc, IntervalIntegrable.mul_const, IntervalIntegrable.sub, IntervalIntegrable.mono_fun, IntervalIntegrable.comp_sub_left, intervalIntegral.intervalIntegrable_exp, IntervalIntegrable.norm, IntervalIntegrable.mono_fun', 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, intervalIntegral.integrable_comp_mul_deriv_iff_of_deriv_nonpos, Complex.betaIntegral_convergent, intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonpos, intervalIntegrable_log_cos, intervalIntegrable_const, intervalIntegral.intervalIntegrable_deriv_of_nonneg, IntervalIntegrable.intervalIntegrable_slope, IntervalIntegrable.continuousOn_mul, Complex.integrable_pow_mul_norm_one_add_mul_inv, IntervalIntegrable.intervalIntegrable_norm_iff, ODE.FunSpace.intervalIntegrable_comp_compProj, IntervalIntegrable.abs, IntervalIntegrable.iff_comp_neg, intervalIntegral.intervalIntegrable_pow, MeromorphicOn.intervalIntegrable_log, circleIntegrable_def, IntervalIntegrable.continuousOn_smul, not_intervalIntegrable_of_sub_inv_isBigO_punctured, intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonneg, intervalIntegrable_of_even, Monotone.intervalIntegrable, intervalIntegral.intervalIntegrable_cpow', intervalIntegral.intervalIntegrable_rpow', ZetaAsymptotics.term_welldef, intervalIntegrable_log_norm_meromorphicOn, ContinuousOn.intervalIntegrable, Complex.betaIntegral_convergent_left, CircleIntegrable.out, IntervalIntegrable.smul, Chebyshev.intervalIntegrable_one_div_log_sq, MeasureTheory.intervalIntegrable_charFun, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, 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, IntervalIntegrable.div_const, IntervalIntegrable.const_mul

NormedCommGroup

Definitions

Name	Category	Theorems
toENormedCommMonoid 📖	CompOp	—

NormedGroup

Definitions

Name	Category	Theorems
toENormedMonoid 📖	CompOp	1 math math: tendsto_norm_inv_mul_self_nhdsNE

SeminormedAddCommGroup

Theorems

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

SeminormedAddGroup

Definitions

Name	Category	Theorems
toContinuousENorm 📖	CompOp	1199 math math: MeasureTheory.HasFiniteIntegral.of_subsingleton, MeasureTheory.MemLp.eLpNorm_indicator_le_of_meas, MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal, Asymptotics.IsBigO.integrableAtFilter, MeasureTheory.integrable_prodLp_iff, MeasureTheory.integrable_indicatorConstLp, InformationTheory.integrable_klFun_rnDeriv_iff, integrableOn_cfcₙ', MeasureTheory.Integrable.integral_comp, MeasureTheory.Integrable.integral_norm_prod_right, MeasureTheory.eLpNorm'_norm, MeasureTheory.eLpNormEssSup_const_smul_le, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, MeasureTheory.tendsto_Lp_of_tendsto_ae, TensorProduct.enorm_lid, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm'', Real.integrableOn_rpowIntegrand₀₁_Ioi, ProbabilityTheory.IsGaussian.memLp_id, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, ProbabilityTheory.IdentDistrib.memLp_iff, MeasureTheory.eLpNorm_condExp_le, MeasureTheory.LipschitzWith.integrable_comp_iff_of_antilipschitz, MeasureTheory.Integrable.bdd_mul', MeasureTheory.IntegrableOn.of_subsingleton, Asymptotics.IsBigOTVS.congr', MeasureTheory.Integrable.fin_nat_prod, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, MeasureTheory.Integrable.comp_mul_left', MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, MeasureTheory.eLpNormEssSup_const_smul, MeasureTheory.LocallyIntegrableOn.neg, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, MeasureTheory.MemLp.const_mul, MeasureTheory.Integrable.sup, Asymptotics.IsThetaTVS.trans_isBigOTVS, MeasureTheory.unifTight_iff_real, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ProbabilityTheory.IdentDistrib.integrable_iff, MeasureTheory.IntegrableOn.continuousOn_smul, MeasureTheory.Integrable.congr', MeasureTheory.eLpNorm'_const', Monotone.locallyIntegrable, hasDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.memLp_top_of_bound, MeasureTheory.IntegrableOn.comp_neg, MeasureTheory.MemLp.smul, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, MeasureTheory.MemLp.exists_simpleFunc_eLpNorm_sub_lt, MeasureTheory.IntegrableOn.sub, MeasureTheory.MemLp.toLp_val, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, egauge_prod_mk, MeasureTheory.LocallyIntegrable.integrable_smul_right_of_hasCompactSupport, MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_eLpNorm, MeasureTheory.Lp.cauchy_tendsto_of_tendsto, MeasureTheory.integrable_stoppedValue, MeasureTheory.eLpNorm_mono_nnnorm_ae, Asymptotics.isLittleOTVS_one, MeasureTheory.Lp.edist_def, integrableOn_cfc', ContDiffBump.integrable, MeasureTheory.MemLp.sup, MeasureTheory.MemLp.const_inner, ContinuousLinearMap.comp_memLp, not_integrableOn_Ioi_cpow, MeasureTheory.AEStronglyMeasurable.memLp_truncation, MeasureTheory.AECover.integrable_of_lintegral_enorm_bounded', LipschitzWith.memLp_lineDeriv, WeakFEPair.hf_modif_int, eventually_enorm_mfderivWithin_symm_extChartAt_lt, ProbabilityTheory.integrable_preCDF, MeasureTheory.tendsto_Lp_of_tendstoInMeasure, TensorProduct.enorm_comm, MeasureTheory.Integrable.neg_part, WithLp.enorm_snd_le, MeasureTheory.IntegrableOn.of_finite, MeasureTheory.Integrable.norm_integral_condExpKernel, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, MeasureTheory.MemLp.integrable_mul, Asymptotics.IsLittleOTVS.tendsto_div, MeasureTheory.AECover.integrable_of_integral_norm_bounded, Int.enorm_natCast, MeasureTheory.L1.ofReal_norm_eq_lintegral, MeasureTheory.AECover.integrable_of_lintegral_enorm_tendsto, 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.Integrable.simpleFunc_mul', MeasureTheory.Lp.nnnorm_def, egauge_ball_le_of_one_lt_norm, MeasureTheory.Martingale.integrable, MeasureTheory.integrable_stoppedValue_of_mem_finset, hasStrictFDerivAt_iff_isLittleOTVS, not_IntegrableOn_Ioi_inv, MeasureTheory.IntegrableOn.smul_continuousOn, MeasureTheory.lintegral_enorm_neg, MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_enorm, MeasureTheory.Lp.eLpNorm_exponent_top_lim_le_liminf_eLpNorm_exponent_top, MeasureTheory.Integrable.of_eval, lintegral_fderiv_lineMap_eq_edist, MeasureTheory.HasFiniteIntegral.restrict_of_bounded, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, MeasureTheory.Lp.memLp_of_cauchy_tendsto, MeasureTheory.Integrable.mul_prod, MeasureTheory.MemLp.of_comp_antilipschitzWith, MeasureTheory.memLp_indicator_const, Asymptotics.IsBigOTVS.add, MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le, MeasureTheory.MemLp.integrable_norm_rpow', LipschitzWith.memLp_comp_iff_of_antilipschitz, MeasureTheory.hasFiniteIntegral_prod_iff', MeasureTheory.Integrable.comp_mul_right', MeasureTheory.ConvolutionExistsAt.integrable, MeasureTheory.MemLp.norm_rpow, egauge_add_add_le, MeasureTheory.MemLp.prod, ProbabilityTheory.IsGaussian.integrable_exp_sq_of_conv_neg, MeasureTheory.Integrable.of_comp_fst, Asymptotics.isLittleOTVS_prodMk_left, Asymptotics.IsBigOTVS.comp_tendsto, MeasureTheory.integrable_const_mul_iff, ProbabilityTheory.integrable_pow_abs_of_integrable_exp_mul, MeasureTheory.UniformIntegrable.integrable_of_tendstoInMeasure, integrableOn_exp_Iic, ContinuousLinearMap.ebound, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_top, HasFDerivAtFilter.isBigOTVS_sub, MeasureTheory.MemLp.congr_norm, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, MeasureTheory.eLpNorm_le_of_ae_nnnorm_bound, Real.integrable_prod_sub, MeasureTheory.eLpNorm_mono_real, MeasureTheory.Integrable.integral_prod_right, MeasureTheory.Lp.enorm_toLp, mellin_convergent_zero_of_isBigO, MeasureTheory.integrable_fun_neg_iff, ProbabilityTheory.evariance_lt_top_iff_memLp, MeasureTheory.IntegrableOn.comp_inv_Ioi, Asymptotics.IsLittleOTVS.trans_isThetaTVS, ProbabilityTheory.IdentDistrib.eLpNorm_eq, integrableOn_Ioi_rpow_of_lt, ContinuousMultilinearMap.fin0_apply_enorm, MeasureTheory.integrable_of_integrable_trim, egauge_univ, integrableOn_Ioi_norm_cpow_of_lt, Asymptotics.IsLittleOTVS.prodMk, MeasureTheory.IntegrableOn.comp_neg_Iio, MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, MeasureTheory.eLpNorm_sub_le, MeasureTheory.Integrable.fun_neg, MeasureTheory.AEEqFun.integrable_iff_mem_L1, MeasureTheory.SimpleFunc.memLp_zero, MeasureTheory.integrable_piLp_iff, Asymptotics.IsLittleOTVS.insert, enorm_fderiv_norm_rpow_le, MeasureTheory.Integrable.fst, MeasureTheory.Integrable.simpleFunc_mul, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, MeasureTheory.UniformIntegrable.memLp_of_tendstoInMeasure, MeasureTheory.MemLp.exist_eLpNorm_sub_le, MeasureTheory.Submartingale.integrable, MeasureTheory.Integrable.comp_mul_right, Real.GammaIntegral_convergent, ProbabilityTheory.IdentDistrib.memLp_snd, MeasureTheory.memLp_two_iff_integrable_sq_norm, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, egauge_zero_zero, MeasureTheory.Integrable.integral_prod_left, MeasureTheory.integrable_norm_rpow_iff, SchwartzMap.eLpNorm_lt_top, Asymptotics.IsLittleOTVS.neg_right, MeasureTheory.MemLp.exists_boundedContinuous_integral_rpow_sub_le, 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, MeasureTheory.IntegrableOn.fun_neg, MeasureTheory.integrable_comp_eval, cfcL_integrable, MeasureTheory.MemLp.of_le_mul, SchwartzMap.memLp, MeasureTheory.eLpNorm_norm, MeasureTheory.Integrable.smul_bdd, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, MeasureTheory.integrable_toReal_rnDeriv_mul_iff, ContinuousLinearMap.integrableAtFilter_comp, MeasureTheory.LocallyIntegrableOn.continuousOn_mul, MeasureTheory.integrable_sum_measure_iff, MeasureTheory.Integrable.comp_snd, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, integrable_one_add_norm, MeasureTheory.Integrable.const_mul, ProbabilityTheory.integrable_condCDF, MeasureTheory.HasFiniteIntegral.mul_const, HasFDerivAtFilter.isThetaTVS_sub, integrableOn_add_rpow_Ioi_of_lt, InformationTheory.klDiv_eq_top_iff, ContinuousLinearMap.comp_memLp', HasFDerivWithinAt.isThetaTVS_sub, LinearMap.isBigOTVS_rev_comp, MeasureTheory.HasFiniteIntegral.mono', MeasureTheory.Integrable.neg, MeasureTheory.Integrable.essSup_smul, MeasureTheory.uniformIntegrable_iff, MeasureTheory.SimpleFunc.memLp_iff_integrable, MeasureTheory.L1.integrable_coeFn, Asymptotics.IsBigOTVS.neg_right, MeasureTheory.Integrable.mono, MeasureTheory.eLpNorm'_mono_nnnorm_ae, egauge_univ_pi, MeasureTheory.nndist_integral_add_measure_le_lintegral, MeasureTheory.MemLp.of_le, MeasureTheory.Lp.edist_eq_eLpNorm_neg_add, MeasureTheory.IntegrableAtFilter.smul, MeasureTheory.Integrable.ae_of_compProd, integrableOn_Ioi_cpow_iff, ProbabilityTheory.IsGaussian.memLp_two_id, MeasureTheory.memLp_const_iff, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.MemLp.inner_const, MeasureTheory.Integrable.integral_norm_condDistrib_map, ContinuousOn.integrableOn_Icc, ProbabilityTheory.IsGaussian.integrable_fun_id, MeasureTheory.tendstoInMeasure_iff_tendsto_Lp, ProbabilityTheory.integrable_exp_mul_of_nonneg_of_le, MeasureTheory.L1.norm_def, ProbabilityTheory.integrable_exp_mul_abs, MeasureTheory.Integrable.mono', MeasureTheory.MemLp.star, ProbabilityTheory.integrable_exp_mul_of_abs_le, MeasureTheory.integrable_martingalePart, MeasureTheory.integrable_thickenedIndicator, ProbabilityTheory.integrable_pow_mul_exp_of_integrable_exp_mul, MeasureTheory.eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul, MeasureTheory.MemLp.pos_part, MeasureTheory.integrable_of_tendsto, MeasureTheory.AEEqFun.Integrable.sub, MeasureTheory.Integrable.of_isEmpty, MeasureTheory.eLpNorm_mono_ae, MeasureTheory.Lp.edist_toLp_toLp, MeasureTheory.eLpNorm_ofReal, ContinuousMap.hasFiniteIntegral_of_bound, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, Filter.HasBasis.isLittleOTVS_iff, LinearIsometry.enorm_map, UnconditionalSchauderBasis.enorm_proj_le_enormProjBound, MeasureTheory.eLpNorm_indicator_sub_le_of_dist_bdd, integrableOn_Ioi_norm_cpow_iff, MeasureTheory.Integrable.comp_snd_map_prodMk, MeasureTheory.Integrable.smul, MeasureTheory.Integrable.mul_of_top_right, MeasureTheory.MemLp.mono', MeasureTheory.memLp_haarAddCircle_iff, HasFDerivAt.isBigOTVS_sub, MeasureTheory.integrable_prod, Asymptotics.IsBigO.integrable, MeasureTheory.Lp.edist_toLp_zero, MeasureTheory.ConvolutionExistsAt.integrable_swap, ProbabilityTheory.Kernel.integrable_densityProcess, MeasureTheory.Integrable.toL1_eq_mk, ContinuousMapZero.hasFiniteIntegral_of_bound, ContinuousOn.integrableOn_uIcc, MeasureTheory.Integrable.of_integral_ne_zero, Continuous.integrable_of_hasCompactSupport, MeasureTheory.MemLp.integrable_norm_pow, Asymptotics.IsLittleOTVS.zero, Asymptotics.IsLittleOTVS.congr_left, MeasureTheory.LocallyIntegrable.neg, MeasureTheory.Integrable.norm_integral_condDistrib, MeasureTheory.HasFiniteIntegral.mono_nonneg, Asymptotics.isLittleOTVS_fun_neg_left, MeasureTheory.MemLp.of_discrete, MeasureTheory.Integrable.neg', MeasureTheory.integrable_posConvolution, Asymptotics.isBigOTVS_iff_smallSets, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, MeasureTheory.Integrable.integral_norm_comp, MeasureTheory.MemLp.memLp_liftIoc, MonotoneOn.memLp_of_measure_ne_top, Polynomial.toAddCircle.integrable, MeasureTheory.integrable_withDensity_iff_integrable_smul', MeasureTheory.eLpNorm'_congr_norm_ae, MeasureTheory.MemLp.neg_part, MeasureTheory.HasFiniteIntegral.of_finite, Asymptotics.IsBigOTVS.fun_add, intervalIntegral.integrableOn_Ioo_rpow_iff, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, MeasureTheory.MemLp.of_bilin, MeasureTheory.Lp.norm_toLp, Asymptotics.isBigOTVS_fun_neg_left, Asymptotics.isBigOTVS_fun_neg_right, MeasureTheory.integrable_comp_div_iff, MeasureTheory.AECover.integrable_of_integral_norm_tendsto, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, HasCompactSupport.memLp_of_bound, GaussianFourier.integrable_cexp_neg_mul_sum_add, MeasureTheory.integrable_add_iff_of_nonneg, MeasureTheory.Integrable.condKernel_ae, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, MeasureTheory.Integrable.snd, ProbabilityTheory.memLp_two_of_variance_ne_zero, MeasureTheory.LocallyIntegrable.integrable_of_isBigO_cocompact, MeasureTheory.eLpNorm_one_le_of_le', egauge_le_one, Real.fourierIntegral_convergent_iff', MeasureTheory.Integrable.prodLp_snd, 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.integrableOn_Icc_deriv_smul_iff_of_deriv_nonpos, MeasureTheory.eLpNorm_le_eLpNorm_top_mul_eLpNorm, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', MeasureTheory.Lp.dist_eq_eLpNorm_neg_add, Real.integrable_sinc, MeasureTheory.enorm_indicatorConstLp_le, MeasureTheory.Integrable.bdd_mul, 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, Asymptotics.IsLittleOTVS.fst, MeasureTheory.Measure.integrableOn_of_bounded, PiLp.enorm_apply_le, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_integrable_exp_mul, DomMulAct.mk_smul_toLp, mellin_convergent_of_isBigO_scalar, Asymptotics.IsLittleO.isLittleOTVS, MeasureTheory.hasFiniteIntegral_iff_edist, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, Asymptotics.IsLittleOTVS.neg_left, DifferentiableAt.isBigOTVS_sub, MeasureTheory.integrable_comp, MeasureTheory.Integrable.integral_norm_prod_left, AntitoneOn.memLp_top, MeasureTheory.eLpNorm'_neg, MeasureTheory.integrable_of_intervalIntegral_norm_tendsto, BoundedContinuousFunction.memLp_top, MeasureTheory.Integrable.sub, Asymptotics.IsLittleOTVS.pi, MeasureTheory.Integrable.of_comp_snd, LipschitzWith.comp_memLp, MeasureTheory.integrableOn_Lp_of_measure_ne_top, CompactlySupportedContinuousMap.integrable, MeasureTheory.integrable_stoppedProcess, MeasureTheory.Integrable.integral_norm_condExpKernel, MeasureTheory.memLp_prod_iff, egauge_pi, ContinuousLinearEquiv.integrable_comp_iff, Asymptotics.isBigOTVS_congr, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, MeasureTheory.Integrable.exists_boundedContinuous_lintegral_sub_le, Asymptotics.isBigOTVS_neg_right, MeasureTheory.integrableOn_Iic_of_intervalIntegral_norm_bounded, Real.one_div_sub_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_condVar, ProbabilityTheory.integrable_exp_abs_mul_abs_add, MeasureTheory.integrable_of_le_of_le, MeasureTheory.integrableOn_Ioc_of_intervalIntegral_norm_bounded_right, MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimage, MeasureTheory.memLp_id_of_self_sub_integral, MeasureTheory.toReal_eLpNorm, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', MeasureTheory.integrableOn_Ioi_comp_mul_left_iff, MeasureTheory.MemLp.eLpNormEssSup_indicator_norm_ge_eq_zero, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, MeasureTheory.SimpleFunc.memLp_approxOn_range, MeasureTheory.HasFiniteIntegral.mono, VectorFourier.fourierIntegral_convergent_iff, MeasureTheory.eLpNorm_sub_comm, MeasureTheory.IntegrableOn.comp_neg_Iic, MeasureTheory.SimpleFunc.memLp_iff, MeasureTheory.UniformIntegrable.spec', MeasureTheory.IsFundamentalDomain.integrableOn_iff, measurableSet_integrable, hasFDerivAt_integral_of_dominated_loc_of_lip', MeasureTheory.Lp.nnnorm_toLp, ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul, MeasureTheory.MemLp.of_fst_snd, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, MeasureTheory.Integrable.eval_piLp, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.MemLp.integrable_sq, MeasureTheory.eLpNorm_star, MeasureTheory.integrableOn_Ioc_of_intervalIntegral_norm_bounded, MeasureTheory.MemLp.prod', ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, integrable_cfcₙ, Asymptotics.IsBigOTVS.snd, Chebyshev.integrableOn_theta_div_id_mul_log_sq, MeasureTheory.Integrable.fintype_prod_dep, intervalIntegral.integrableOn_Ioo_cpow_iff, MeasureTheory.Integrable.comp_div_right, MeasureTheory.HasFiniteIntegral.of_bounded, InformationTheory.klDiv_def, MeasureTheory.MemLp.const_smul, MeasureTheory.Integrable.norm_integral_condKernel, MeasureTheory.IntegrableOn.continuousOn_mul_of_subset, ProbabilityTheory.memLp_id_gaussianReal', MeasureTheory.memLp_congr_norm, Asymptotics.IsBigOTVS.fun_symm, MeasureTheory.L1.SimpleFunc.toLp_one_eq_toL1, integrableOn_Ioi_deriv_ofReal_cpow, ProbabilityTheory.iIndepFun.integrable_exp_mul_sum, MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le, MeasureTheory.integrable_comp_div_left, Asymptotics.isLittleOTVS_fun_neg_right, Asymptotics.IsLittleOTVS.triangle, InformationTheory.integrable_llr_compProd_iff, MeasureTheory.MemLp.inf, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, MeasureTheory.Supermartingale.integrable, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, Asymptotics.IsBigOTVS.congr_left, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, Asymptotics.IsLittleOTVS.smul_left, MeasureTheory.IsAddFundamentalDomain.integrableOn_iff, MeasureTheory.ComplexMeasure.integrable_rnDeriv, MeasureTheory.eLpNorm_le_mul_eLpNorm_of_ae_le_mul, ProbabilityTheory.hasFiniteIntegral_compProd_iff', SchwartzMap.norm_toLp, Asymptotics.IsBigOTVS.proj, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos', MeasureTheory.HasFiniteIntegral.congr', not_integrableOn_Ioi_rpow, MeasureTheory.integrable_add_of_disjoint, MeasureTheory.hasFiniteIntegral_neg_iff, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, Asymptotics.IsLittleOTVS.trans_isBigOTVS, MeasureTheory.Measure.integrable_measure_prodMk_left, MeasureTheory.hasFiniteIntegral_const, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le_of_meas, MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atBot, MeasureTheory.BorelCantelli.integrable_process, MeasureTheory.Lp.eLpNorm_lim_le_liminf_eLpNorm, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', MeasureTheory.MemLp.integrable_norm_rpow, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, SemilinearMapClass.ebound_of_continuous, MeasureTheory.eLpNorm'_mono_ae, InformationTheory.integrable_llr_of_integrable_llr_compProd, MeasureTheory.IntegrableAtFilter.norm, InnerProductSpace.enorm_rankOne, MeasureTheory.Integrable.integral_condExpKernel, MeasureTheory.SimpleFunc.FinMeasSupp.integrable, MeasureTheory.LocallyIntegrableOn.mul_continuousOn, Asymptotics.IsBigOTVS.trans_isLittleOTVS, MeasureTheory.Integrable.integral_compProd, MeasureTheory.eLpNormEssSup_le_nnreal_smul_eLpNormEssSup_of_ae_le_mul, MeasureTheory.hasFiniteIntegral_const_iff_isFiniteMeasure, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, MeasureTheory.MemLp.mul, MeasureTheory.integrable_prod_iff, MeasureTheory.Lp_toLp_restrict_add, ProbabilityTheory.integrable_exp_mul_of_nonpos_of_ge, 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, MeasureTheory.LocallyIntegrableOn.smul_continuousOn, Polynomial.Chebyshev.integrable_measureT, ProbabilityTheory.HasSubgaussianMGF.integrable, MeasureTheory.LocallyIntegrable.sub, Asymptotics.isBigOTVS_neg_left, MeasureTheory.Integrable.enorm_toL1, MeasureTheory.SimpleFunc.memLp_top, DifferentiableWithinAt.isBigOTVS_sub, Asymptotics.IsLittleOTVS.congr', InformationTheory.klDiv_ne_top_iff, MeasureTheory.integrable_conv_iff, MeasureTheory.condExp_def, MeasureTheory.integrable_of_summable_norm_restrict, ConvexOn.integrable_apply_rnDeriv_of_integrable_compProd, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, MeasureTheory.integrable_add_iff_integrable_right', MeasureTheory.SimpleFunc.integrable_iff, MeasureTheory.ae_bdd_liminf_atTop_rpow_of_eLpNorm_bdd, MeasureTheory.locallyIntegrable_const, MeasureTheory.Integrable.integral_condDistrib_map, MeasureTheory.integrable_mul_const_iff, MeasureTheory.integrableOn_Iic_of_intervalIntegral_norm_tendsto, MeasureTheory.Integrable.bdd_smul, TensorProduct.enorm_tmul, ContinuousLinearMap.memLp_of_bilin, MeasureTheory.Measure.integrable_compProd_iff, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter, MeasureTheory.integrableOn_fun_neg_iff, MeasureTheory.Integrable.condDistrib_ae, Asymptotics.IsLittleOTVS.sup, MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_norm, MeasureTheory.IntegrableOn.fun_sub, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, MeasureTheory.IntegrableOn.comp_inv_Ici, MeasureTheory.integrable_toReal_of_lintegral_ne_top, MeasureTheory.eLpNorm_const_smul_le', MeasureTheory.integrable_smul_const, MeasureTheory.Integrable.abs, MeasureTheory.MemLp.snd, MeasureTheory.MemLp.exists_hasCompactSupport_integral_rpow_sub_le, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', MeasureTheory.IntegrableOn.mul_continuousOn_of_subset, Asymptotics.IsBigOTVS.prodMk, MeasureTheory.VectorMeasure.exists_extension_of_isSetSemiring_of_le_measure_of_generateFrom, MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.eLpNorm_sub_le', ProbabilityTheory.integrable_comp_snd_map_prodMk_iff, MeasureTheory.MemLp.condExp, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, MeasureTheory.IsAddFundamentalDomain.hasFiniteIntegral_on_iff, MeasureTheory.MemLp.const_mul', MeasureTheory.eLpNorm_le_of_tendstoInMeasure, MeasureTheory.Integrable.re_im_iff, MeasureTheory.HasFiniteIntegral.norm, hasDerivAt_integral_of_dominated_loc_of_deriv_le, MeasureTheory.eLpNorm'_congr_nnnorm_ae, MeasureTheory.MemLp.of_fst_of_snd_prodLp, MeasureTheory.MemLp.continuousLinearMap_comp, ProbabilityTheory.IsGaussian.memLp_dual, Asymptotics.isLittleOTVS_map, ContinuousLinearMap.integrable_comp, MeasureTheory.Integrable.smul_of_top_left, Asymptotics.IsBigOTVS.symm, MeasureTheory.MemLp.fst, MeasureTheory.Integrable.integral_norm_compProd, Asymptotics.isLittleOTVS_iff_isLittleO, MeasureTheory.Lp.eLpNorm'_lim_eq_lintegral_liminf, integrable_rpow_mul_exp_neg_mul_sq, MeasureTheory.Integrable.mul_bdd, MeasureTheory.IntegrableOn.finset, InformationTheory.klDiv_eq_integral_klFun, MeasureTheory.LocallyIntegrable.integrable_smul_left_of_hasCompactSupport, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, ProbabilityTheory.integrable_exp_mul_of_le_of_le, 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, Asymptotics.IsBigOTVS.congr_right, MeasureTheory.integrable_add_const_iff, MeasureTheory.Lp.simpleFunc.memLp, MeasureTheory.LocallyIntegrable.mono, MeasureTheory.integrable_comp_mul_left_iff, Asymptotics.IsThetaTVS.isBigOTVS, ProbabilityTheory.Kernel.integrable_density, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_le, ProbabilityTheory.hasFiniteIntegral_comp_iff', MeasureTheory.integrable_tilted_iff, MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc, Asymptotics.IsLittleOTVS.comp_tendsto, integrableOn_exp_mul_complex_Iic, ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mul, MeasureTheory.L2.eLpNorm_inner_lt_top, MeasureTheory.integrable_withDensity_iff_integrable_smul, Asymptotics.IsLittleOTVS.congr, MeasureTheory.Integrable.convolution_integrand, 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.Integrable.comp_add_left, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.eLpNorm_indicator_sub_indicator, MeasureTheory.Integrable.norm_integral_condDistrib_map, MeasureTheory.unifTight_iff_ennreal, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, MeasureTheory.Integrable.mul_of_top_left, ProbabilityTheory.hasFiniteIntegral_comp_iff, MeasureTheory.SimpleFunc.memLp_approxOn, 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, MeasureTheory.Integrable.const_mul', ContinuousOn.integrableAt_nhdsWithin, ProbabilityTheory.measurableSet_integrable, SchwartzMap.eLpNorm_le_seminorm, hasFDerivAtFilter_iff_isLittleOTVS, MeasureTheory.integrableOn_Icc_deriv_smul_iff_of_deriv_nonneg, MeasureTheory.Integrable.eval, MeasureTheory.eLpNorm_const_smul_le, Real.integrable_of_summable_norm_Icc, not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter, ProbabilityTheory.integrable_exp_mul_abs_add, integrableOn_Ioi_rpow_iff, MeasureTheory.eLpNorm'_le_eLpNorm'_mul_eLpNorm', MeasureTheory.HasFiniteIntegral.of_isEmpty, MeasureTheory.memLp_stoppedValue_of_mem_finset, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, egauge_le_of_smul_mem, MeasureTheory.memLp_pi_iff, MeasureTheory.Integrable.mul_const', MeasureTheory.IntegrableOn.comp_neg_Ioi, MeasureTheory.MemLp.eval_piLp, integrableOn_rpow_mul_exp_neg_rpow, Asymptotics.IsLittleOTVS.fun_symm, MeasureTheory.Integrable.integral_norm_condDistrib, 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, MeasureTheory.memLp_stoppedProcess, ProbabilityTheory.integrable_exp_abs_mul_abs, ProbabilityTheory.integrable_compProd_iff, ContinuousOn.locallyIntegrableOn, MeasureTheory.Integrable.comp_div_left, Asymptotics.IsThetaTVS.symm, integrableOn_cfcₙ, MeasureTheory.eLpNorm'_const_smul, MeasureTheory.MemLp.integral_indicator_norm_ge_nonneg_le, MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atBot_atTop, Asymptotics.isLittleOTVS_neg_right, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, MeasureTheory.IntegrableAtFilter.neg, MeasureTheory.SimpleFunc.integrable_pair, MeasureTheory.MemLp.norm_rpow_div, Continuous.integrableOn_uIoc, MeasureTheory.MemLp.prodLp_snd, MeasureTheory.IntegrableOn.continuousOn_mul, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, Asymptotics.IsBigOTVS.congr, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, MeasureTheory.Integrable.comp_fst_iff, OrthonormalBasis.enorm_eq_one, MeasureTheory.tendstoInMeasure_iff_measureReal_enorm, integrable_cfcₙ', 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, MeasureTheory.Integrable.comp_fst, MeasureTheory.MemLp.norm, integrable_inv_one_add_sq, HasFPowerSeriesWithinOnBall.changeOrigin, integrable_cfc', ProbabilityTheory.integrable_rpow_abs_of_integrable_exp_mul, MeasureTheory.eLpNorm_mono_ae_real, MeasureTheory.LocallyIntegrableOn.mono, Asymptotics.IsBigOTVS.eventually_smallSets, ProbabilityTheory.IdentDistrib.integrable_snd, MeasureTheory.eLpNorm_congr_norm_ae, MeasureTheory.Filtration.memLp_limitProcess_of_eLpNorm_bdd, MeasureTheory.memLp_add_of_disjoint, MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_bounded, MeasureTheory.integrable_continuousLinearMap_prod', Asymptotics.Filter.Tendsto.isBigOTVS_one, MeasureTheory.LocallyIntegrableOn.integrableOn_of_isBigO_atBot, ProbabilityTheory.memLp_id_gaussianReal, LipschitzWith.locallyIntegrable_lineDeriv, MeasureTheory.memLp_norm_rpow_iff, Asymptotics.isLittleOTVS_fun_comm, Asymptotics.isLittleOTVS_comm, MeasureTheory.MemLp.neg, Asymptotics.IsLittleOTVS.snd, MeasureTheory.eLpNorm_const_smul, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, MeasureTheory.integrable_of_norm_sub_le, Real.fourierIntegral_convergent_iff, MeasureTheory.AECover.integrable_of_integral_tendsto_of_nonneg_ae, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, MeasureTheory.eLpNorm_norm_rpow, MeasureTheory.SimpleFunc.integrable_approxOn_range, Asymptotics.IsBigOTVS.rfl, Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, MeasureTheory.integrable_congr', MeasureTheory.Integrable.inner_const, MeasureTheory.Integrable.swap, Complex.conjCLE_enorm, Continuous.memLp_top_of_hasCompactSupport, MeasureTheory.MemLp.mul_const, MeasureTheory.UniformIntegrable.integrable_of_ae_tendsto, Asymptotics.isBigOTVS_fun_comm, HasFDerivAt.isThetaTVS_sub, Real.enorm_exp_I_mul_ofReal_sub_one_le, VitaliFamily.eventually_filterAt_integrableOn, ProbabilityTheory.integrable_rpow_mul_exp_of_integrable_exp_mul, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, integrableOn_exp_neg_Ioi, MeasureTheory.Integrable.integral_condDistrib, MeasureTheory.integrable_condExpL2_indicator, Asymptotics.IsBigOTVS.triangle, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, MeasureTheory.MemLp.of_nnnorm_le_mul, Filter.Tendsto.integrableAtFilter_ae, MeasureTheory.MemLp.re, Continuous.integrableOn_Ioc, MeasureTheory.MemLp.of_bound, LinearIsometry.enorm_toContinuousLinearMap, setOf_riemannianEDist_lt_subset_nhds, MeasureTheory.Integrable.re, eventually_riemannianEDist_le_edist_extChartAt, MeasureTheory.Integrable.smul_essSup, MeasureTheory.Integrable.comp_neg, ProbabilityTheory.HasGaussianLaw.integrable, MeasureTheory.integrable_prod_iff', MeasureTheory.Integrable.of_fst_of_snd_prodLp, Continuous.integrableAt_nhds, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, integrable_of_isBigO_exp_neg, hasFDerivAt_iff_isLittleOTVS, DomAddAct.mk_vadd_toLp, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, MeasureTheory.eLpNorm_one_le_of_le, ProbabilityTheory.strong_law_Lp, MeasureTheory.Integrable.of_eval_piLp, MeasureTheory.SimpleFunc.eLpNorm'_eq, MeasureTheory.Integrable.ofReal, TensorProduct.enorm_assoc, MeasureTheory.hasFiniteIntegral_toReal_iff, MeasureTheory.MemLp.eval, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, MeasureTheory.MemLp.prodLp_fst, MeasureTheory.eLpNorm_mono, integrableOn_Ioi_cpow_of_lt, ProbabilityTheory.condVar_of_sigmaFinite, MeasureTheory.MemLp.haarAddCircle, MeasureTheory.SimpleFunc.memLp_of_isFiniteMeasure, MeasureTheory.AECover.integrable_of_integral_bounded_of_nonneg_ae, intervalIntegral.integrableOn_deriv_right_of_nonneg, MeasureTheory.HasFiniteIntegral.max_zero, mellin_convergent_iff_norm, locallyIntegrableOn_mul_sum_Icc, MeasureTheory.Integrable.pos_part, MeasureTheory.Integrable.of_bound, ProbabilityTheory.measurableSet_kernel_integrable, MeasureTheory.UniformIntegrable.memLp, egauge_eq_zero_iff, MeasureTheory.ae_bdd_liminf_atTop_of_eLpNorm_bdd, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm'_of_norm, MeasureTheory.LocallyIntegrableOn.norm, MeasureTheory.integrable_const_iff, HasStrictFDerivAt.isBigOTVS_sub, integrableOn_peak_smul_of_integrableOn_of_tendsto, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, MeasureTheory.SimpleFunc.integrable_approxOn, Asymptotics.IsLittleOTVS.isBigOTVS, MeasureTheory.hasFiniteIntegral_const_iff, ProbabilityTheory.integrable_kernel_prodMk_left, MeasureTheory.integrable_sum_measure, MeasureTheory.AEEqFun.Integrable.smul, ProbabilityTheory.memLp_tilted_mul, MeasureTheory.MemLp.mul', ContinuousLinearMap.isThetaTVS_comp, MeasureTheory.AEEqFun.Integrable.neg, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', MeasureTheory.AECover.integrable_of_lintegral_enorm_bounded, MeasureTheory.convolutionExistsAt_iff_integrable_swap, MeasureTheory.memLp_prodLp_iff, MeasureTheory.integrableOn_iUnion_of_summable_integral_norm, Continuous.integrableOn_uIcc, MeasureTheory.memLp_stoppedValue, MeasureTheory.integrable_comp_mul_right_iff, Filter.Tendsto.integrableAtFilter, MeasureTheory.SimpleFunc.integrable_of_isFiniteMeasure, MonotoneOn.integrableOn_isCompact, ContinuousMapZero.hasFiniteIntegral_mkD_restrict_of_bound, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, MeasureTheory.integrable_swap_iff, MeasureTheory.Integrable.comp_add_right, 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, HasFDerivWithinAt.isLittleOTVS, integrableOn_Ioi_exp_neg_mul_sq_iff, MeasureTheory.MemLp.eLpNorm_indicator_le, MeasureTheory.pdf.integrable_pdf_smul_iff, ProbabilityTheory.Kernel.integrable_traj, Continuous.locallyIntegrable, MeasureTheory.eLpNormEssSup_indicator_eq_eLpNormEssSup_restrict, TensorProduct.enorm_map, Real.enorm_rpow_of_nonneg, MeasureTheory.MemLp.of_eval, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, ContinuousMap.hasFiniteIntegral_mkD_of_bound, MeasureTheory.Integrable.integrable_convolution, MeasureTheory.Integrable.op_fst_snd, SchwartzMap.memLp_top, MeasureTheory.Measure.integrable_comp_iff, MeasureTheory.IntegrableOn.of_bound, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.MemLp.of_haarAddCircle, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.integrable_norm_pow_of_le, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, MeasureTheory.UnifTight.exists_measurableSet_indicator, HasFDerivAtFilter.isLittleOTVS, MeasureTheory.Integrable.prodMk, MeasureTheory.Lp.eLpNorm_lt_top, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, MeasureTheory.L2.integrable_inner, MeasureTheory.hasFiniteIntegral_prod_iff, MeasureTheory.MemLp.of_eval_piLp, MeasureTheory.integrable_smul_iff, MeasureTheory.integrable_llr_tilted_right, MeasureTheory.integrableOn_iUnion_of_summable_norm_restrict, MeasureTheory.AECover.integrable_of_lintegral_enorm_tendsto', MeasureTheory.IntegrableOn.comp_neg_Ici, MeasureTheory.Integrable.prod_left_ae, MeasureTheory.integrable_neg_iff, MeasureTheory.Integrable.of_subsingleton, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.L1.integral_of_fun_eq_integral', MeasureTheory.Integrable.fun_smul, MeasureTheory.MemLp.im, MeasureTheory.lintegral_enorm_eq_lintegral_edist, MeasureTheory.condExp_of_sigmaFinite, MeasureTheory.MemLp.exists_boundedContinuous_eLpNorm_sub_le, ProbabilityTheory.integrable_pow_abs_mul_exp_of_integrable_exp_mul, MeasureTheory.HasFiniteIntegral.smul, MeasureTheory.MemLp.mono, MeasureTheory.integrable_add_iff_integrable_right, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_pos_le, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, MeasureTheory.Integrable.comp_snd_map_prod_id, MeasureTheory.integrableOn_Ioc_of_intervalIntegral_norm_bounded_left, integrableOn_mul_sum_Icc, MeasureTheory.Integrable.mul_const, MeasureTheory.Integrable.of_mem_Icc, MeasureTheory.integrable_stoppedProcess_of_mem_finset, FormalMultilinearSeries.radius_compContinuousLinearMap_le, MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnder, WeakFEPair.hg_int, ContinuousMap.hasFiniteIntegral_mkD_restrict_of_bound, MeasureTheory.eLpNorm'_const_smul_le, MeasureTheory.IntegrableOn.comp_inv_Iic, MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto, UniformSpace.Completion.enorm_coe, MeasureTheory.UniformIntegrable.spec, MeasureTheory.Integrable.apply_continuousLinearMap, Asymptotics.isThetaTVS_comm, ProbabilityTheory.HasSubgaussianMGF.memLp, MeasureTheory.lintegral_enorm_le_liminf_of_tendsto, MeasureTheory.eLpNormEssSup_lt_top_of_ae_bound, WeakFEPair.hf_int, ProbabilityTheory.Kernel.eLpNorm_density_le, ProbabilityTheory.IndepFun.integrable_right_of_integrable_mul, MeasureTheory.integrable_comp_smul_iff, SchauderBasis.enorm_proj_le_enormProjBound, HasFDerivWithinAt.isBigOTVS_sub, AntitoneOn.integrableOn_of_measure_ne_top, MeasureTheory.integrable_sum_dirac, div_le_egauge_ball, MeasureTheory.Integrable.div_const, Asymptotics.IsThetaTVS.trans, 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.Measure.ae_integrable_of_integrable_comp, MeasureTheory.Lp.enorm_def, Asymptotics.IsLittleOTVS.mono, MeasureTheory.LocallyIntegrableOn.sub, MeasureTheory.Integrable.comp_sub_left, Asymptotics.IsThetaTVS.trans_isLittleOTVS, MeasureTheory.IntegrableOn.swap, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm', Asymptotics.IsBigOTVS.trans_isThetaTVS, MeasureTheory.Integrable.fintype_prod, MeasureTheory.integrable_rnDeriv_smul_iff, MeasureTheory.Integrable.real_toNNReal, ProbabilityTheory.hasFiniteIntegral_compProd_iff, Asymptotics.IsLittleOTVS.trans, MeasureTheory.SignedMeasure.integrable_rnDeriv, MeasureTheory.VectorMeasure.exists_extension_of_isSetSemiring_of_le_measure_of_dense, MeasureTheory.HasFiniteIntegral.const_mul, ProbabilityTheory.integrable_exp_mul_of_le, MeasureTheory.integrable_add_iff_integrable_left, MeasureTheory.submartingale_iff_condExp_sub_nonneg, integrable_cfc, MeasureTheory.Lp.toLp_compMeasurePreserving, Complex.imCLM_enorm, RCLike.enorm_conj, MeasureTheory.integrable_continuousLinearMap_prod, MeasureTheory.eLpNorm_eq_zero_and_zero_of_ae_le_mul_neg, Complex.ofRealCLM_enorm, MeasureTheory.Integrable.sub', Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, MeasureTheory.memLp_neg_iff, MeasureTheory.integrable_pi_iff, MeasureTheory.integrable_right_of_integrable_add_of_nonneg, 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, le_egauge_of_forall_ne_zero, exp_neg_integrableOn_Ioi, MeasureTheory.Integrable.const_inner, integrable_exp_neg_mul_sq_iff, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, MeasureTheory.SimpleFunc.integrable_iff_finMeasSupp, MeasureTheory.hasFiniteIntegral_of_dominated_convergence, ContinuousOn.integrableAt_nhdsWithin_of_isSeparable, ProbabilityTheory.IndepFun.integrable_exp_mul_add, 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.IntegrableOn.neg, MeasureTheory.eLpNorm_const_lt_top_iff, div_le_egauge_closedBall, MeasureTheory.Integrable.smul_prod, ProbabilityTheory.integrable_toReal_condDistrib, MeasureTheory.integrable_toReal_iff, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, MeasureTheory.tendsto_Lp_finite_of_tendstoInMeasure, integrableOn_rpow_mul_exp_neg_mul_sq, MonotoneOn.memLp_top, Asymptotics.isBigOTVS_map, MeasureTheory.integrable_norm_rpow_of_le, Asymptotics.IsBigOTVS.neg_left, ProbabilityTheory.IsGaussian.memLp_two_fun_id, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, MeasureTheory.integrable_left_of_integrable_add_of_nonneg, Orthonormal.enorm_eq_one, MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atTop_of_norm_isNegInvariant, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, MeasureTheory.integral_def, IsUnit.integrable_smul_iff, MeasureTheory.L1.norm_sub_eq_lintegral, MeasureTheory.HasFiniteIntegral.min_zero, SchwartzMap.integrable, Asymptotics.IsLittleOTVS.congr_right, ProbabilityTheory.integrable_pow_abs_mul_exp_add_of_integrable_exp_mul, MeasureTheory.integrable_condExpL1, MeasureTheory.exists_upperSemicontinuous_le_integral_le, MeasureTheory.Lp.eLpNorm_le_of_ae_tendsto, MeasureTheory.Integrable.comp_smul, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, MeasureTheory.integrable_llr_tilted_left, integrableOn_cfc, MeasureTheory.L1.hasFiniteIntegral_coeFn, MeasureTheory.ofReal_lpNorm, ProbabilityTheory.IndepFun.integrable_mul, MeasureTheory.hasFiniteIntegral_congr', MeasureTheory.Integrable.fourier_smul, ContinuousLinearMap.le_opENorm, MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atTop, MeasureTheory.HasFiniteIntegral.neg, MeasureTheory.eLpNorm_condExpL2_le, MeasureTheory.eLpNorm_sub_le_of_dist_bdd, MeasureTheory.Integrable.smul_const, integrable_exp_neg_mul_sq, ProbabilityTheory.integrable_rpow_of_integrable_exp_mul, MeasureTheory.Integrable.comp_inv, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, MeasureTheory.exists_eLpNorm_indicator_le, SchwartzMap.integrable_pow_mul, MeasureTheory.memLp_of_bounded, MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_tendsto, MeasureTheory.Submartingale.memLp_limitProcess, integrable_mulExpNegMulSq_comp, integrable_cexp_quadratic, Asymptotics.IsLittleOTVS.add, 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, MeasureTheory.Integrable.norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, MeasureTheory.integrableOn_Ioi_comp_mul_right_iff, ProbabilityTheory.integrable_pow_of_integrable_exp_mul, IsRiemannianManifold.out, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, ContinuousMapZero.hasFiniteIntegral_mkD_of_bound, Asymptotics.IsLittleOTVS.fun_add, MeasureTheory.SimpleFunc.tendsto_approxOn_L1_enorm, MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving, ContinuousOn.integrableOn_compact, hasFDerivWithinAt_iff_isLittleOTVS, Asymptotics.isBigOTVS_prodMk_left, cfcₙL_integrable, MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnorm, TorusIntegrable.function_integrable, LinearIsometryEquiv.integrable_comp_iff, ContinuousLinearMap.locallyIntegrableOn_comp, 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.mono_nonneg, MeasureTheory.IntegrableOn.continuousOn_smul_of_subset, MeasureTheory.VectorMeasure.exists_extension_of_isSetRing_of_le_measure_of_dense, 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.inf, MeasureTheory.integrable_fun_norm_addHaar, ProbabilityTheory.IsRatCondKernelCDF.integrable, ContinuousMap.enorm_eq_iSup_enorm, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, Asymptotics.IsBigOTVS.mono, ProbabilityTheory.integrable_cauchyPDFReal, Asymptotics.IsLittleOTVS.proj, MeasureTheory.MemLp.integrable_norm_pow', MeasureTheory.MemLp.induction_dense, Asymptotics.IsBigOTVS.trans, MeasureTheory.IntegrableOn.mul_continuousOn, ProbabilityTheory.integrable_poissonMeasure_iff, MeasureTheory.Integrable.condDistrib_ae_map, MeasureTheory.AEEqFun.eLpNorm_star, Complex.reCLM_enorm, MeasureTheory.hasFiniteIntegral_smul_iff, MeasureTheory.integrable_mconv_iff, Asymptotics.isLittleOTVS_insert, MeasureTheory.integrable_fun_smul_iff, MeasureTheory.MemLp.eLpNorm_indicator_le', BoundedContinuousFunction.enorm_eq_iSup_enorm, MeasureTheory.eLpNorm'_norm_rpow, MeasureTheory.LocallyIntegrableOn.continuousOn_smul, integrable_cexp_quadratic', Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, MeasureTheory.integrableOn_neg_iff, ContinuousLinearMap.integrableOn_comp, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, MeasureTheory.Integrable.condExpKernel_ae, MeasureTheory.Integrable.integral_norm_condKernel, VectorFourier.integrable_fourierPowSMulRight, ProbabilityTheory.integrable_gaussianPDFReal, Asymptotics.IsBigOTVS.refl, MeasureTheory.Lp.pow_mul_meas_ge_le_enorm, ContinuousLinearMap.isBigOTVS_id, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, MeasureTheory.MemLp.sub, MeasureTheory.LocallyIntegrable.smul, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div_of_integrable, MeasureTheory.AEEqFun.Integrable.add, Asymptotics.IsBigOTVS.fst, ContinuousOn.integrableOn_compact', MeasureTheory.Submartingale.integrable_stoppedValue, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrable, MeasureTheory.memLp_stoppedProcess_of_mem_finset, Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, MeasureTheory.LocallyIntegrableOn.integrableOn_of_isBigO_atTop, MeasureTheory.integrable_const, Asymptotics.IsBigO.isBigOTVS, Asymptotics.isLittleOTVS_neg_left, MeasureTheory.integrable_add_iff_integrable_left', MeasureTheory.tendstoInMeasure_iff_tendsto_Lp_finite, MeasureTheory.integrable_const_iff_isFiniteMeasure, WithLp.enorm_fst_le, Asymptotics.IsLittleOTVS.of_tendsto_div, 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.lpMeasToLpTrimLie_symm_toLp, MeasureTheory.integrable_eval, MeasureTheory.eLpNormEssSup_le_of_ae_nnnorm_bound, integrable_cexp_neg_mul_sq, MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm, MeasureTheory.Integrable.ae_of_comp, le_egauge_closedBall_one, MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_meas, MeasureTheory.IntegrableOn.smul_continuousOn_of_subset, 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.Integrable.integral_condKernel, MeasureTheory.eLpNorm_le_nnreal_smul_eLpNorm_of_ae_le_mul, MeasureTheory.SimpleFunc.tendsto_approxOn_Lp_eLpNorm, Asymptotics.isLittleOTVS_pi, integrableOn_Ioi_deriv_norm_ofReal_cpow, MeasureTheory.Integrable.prodLp_fst, integrable_of_le_of_pow_mul_le, Continuous.integrableOn_Icc, MeasureTheory.IntegrableOn.comp_inv_Iio, ProbabilityTheory.mgf_pos_iff, Asymptotics.IsThetaTVS.rfl, MeasureTheory.IntegrableAtFilter.sub, setOf_riemannianEDist_lt_subset_nhds', ContinuousLinearMap.le_opNorm_enorm, MeasureTheory.Integrable.comp_mul_left, MeasureTheory.eLpNorm_le_of_ae_bound, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, MeasureTheory.integrable_of_intervalIntegral_norm_bounded, MeasureTheory.MemLp.ofReal, Asymptotics.IsBigOTVS.pi, egauge_le_of_smul_mem_of_ne, HasFDerivAt.isLittleOTVS, MeasureTheory.Lp_toLp_restrict_smul, MeasureTheory.Integrable.comp_sub_right, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Real.integrableOn_rpowIntegrand₀₁_Ici, MeasureTheory.Integrable.of_finite, egauge_pi', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', MeasureTheory.Integrable.prod_right_ae, eventually_riemannianEDist_lt, MeasureTheory.IntegrableOn.comp_inv, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', MeasureTheory.Lp.cauchy_complete_eLpNorm, MeasureTheory.MemLp.eLpNorm_indicator_norm_ge_le, MeasureTheory.Integrable.smul_of_top_right, MeasureTheory.integrable_rnDeriv_mul_log_iff, MeasureTheory.hasFiniteIntegral_count_iff, MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp_eLpNorm, integrableAtFilter_rpow_atTop_iff, MeasureTheory.integrable_sum_dirac_iff, MeasureTheory.MemLp.eLpNorm_mk_lt_top, MeasureTheory.eLpNormEssSup_const_smul_le', MeasureTheory.Integrable.trim, MeasureTheory.memLp_top_const, MeasureTheory.Lp.eLpNorm'_lim_le_liminf_eLpNorm', MeasureTheory.MemLp.exists_eLpNorm_indicator_compl_lt, MeasureTheory.pdf.hasFiniteIntegral_mul, Asymptotics.IsThetaTVS.refl, MeasureTheory.Lp.mul_meas_ge_le_pow_enorm, MeasureTheory.Lp.simpleFunc.norm_toLp, MeasureTheory.Measure.integrable_pow_neg_integrablePower, hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.tendsto_Lp_finite_of_tendsto_ae, 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, MeasureTheory.Integrable.im, 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.MemLp.abs, MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closed, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet, MeasureTheory.Integrable.comp_div

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mem_closure_iff 📖	mathematical	—	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace toPseudoMetricSpace Real Real.instLT Norm.norm toNorm AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid toAddGroup NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid	—	Metric.mem_closure_iff dist_eq_norm_neg_add
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 AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid toAddGroup NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid Pi.instZero NegZeroClass.toZero SProd.sprod Filter Filter.instSProd	—	Filter.HasBasis.mem_uniformity_iff Metric.uniformity_basis_dist Filter.Eventually.mono Metric.dist_mem_uniformity dist_eq_norm_neg_add neg_zero zero_add
uniformCauchySeqOn_iff_tendstoUniformlyOn_zero 📖	mathematical	—	UniformCauchySeqOn PseudoMetricSpace.toUniformSpace toPseudoMetricSpace TendstoUniformlyOn AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid toAddGroup NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid Pi.instZero NegZeroClass.toZero 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 toPseudoMetricSpace Real Real.instLT Norm.norm toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup toSeminormedGroup	—	dist_eq_norm_div

SeminormedGroup

Definitions

Name	Category	Theorems
toContinuousENorm 📖	CompOp	—

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mem_closure_iff 📖	mathematical	—	Set Set.instMembership closure UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace toPseudoMetricSpace Real Real.instLT Norm.norm toNorm MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid toGroup InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid	—	dist_eq_norm_inv_mul
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 MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid toGroup InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid Pi.instOne InvOneClass.toOne SProd.sprod Filter Filter.instSProd	—	Filter.HasBasis.mem_uniformity_iff Metric.uniformity_basis_dist Filter.Eventually.mono Metric.dist_mem_uniformity dist_eq_norm_inv_mul inv_one one_mul
uniformCauchySeqOn_iff_tendstoUniformlyOn_one 📖	mathematical	—	UniformCauchySeqOn PseudoMetricSpace.toUniformSpace toPseudoMetricSpace TendstoUniformlyOn MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid toGroup InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid Pi.instOne InvOneClass.toOne 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 UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedCommGroup.toPseudoMetricSpace Subgroup SeminormedGroup.toGroup SeminormedCommGroup.toSeminormedGroup SetLike.instMembership Subgroup.instSetLike Real Real.instLT Norm.norm SeminormedCommGroup.toNorm MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid DivisionCommMonoid.toDivisionMonoid CommGroup.toDivisionCommMonoid	—	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.prod_range_succ' Finset.prod_range_induction inv_mul_cancel add_tsub_cancel_right Nat.instOrderedSub IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT instIsLeftCancelAddOfAddLeftReflectLE IsOrderedCancelAddMonoid.toAddLeftReflectLE Nat.instIsOrderedCancelAddMonoid contravariant_lt_of_covariant_le IsOrderedAddMonoid.toAddLeftMono Nat.instIsOrderedAddMonoid Mathlib.Tactic.Group.zpow_trick_one neg_add_cancel zpow_zero mul_one inv_mul_cancel_comm Subgroup.mul_mem Subgroup.inv_mem LT.lt.ne' norm_inv' mul_inv_rev inv_inv
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 SeminormedGroup.toGroup SeminormedCommGroup.toSeminormedGroup MonoidHom.instFunLike Filter.atTop Nat.instPreorder nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedCommGroup.toPseudoMetricSpace Real Real.instLT Norm.norm SeminormedCommGroup.toNorm MulOne.toMul InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid DivisionCommMonoid.toDivisionMonoid CommGroup.toDivisionCommMonoid	—	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 UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace AddSubgroup SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup SetLike.instMembership AddSubgroup.instSetLike Real Real.instLT Norm.norm SeminormedAddCommGroup.toNorm AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid SubtractionCommMonoid.toSubtractionMonoid AddCommGroup.toDivisionAddCommMonoid	—	mem_closure_iff_seq_limit FirstCountableTopology.frechetUrysohnSpace TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology PseudoEMetricSpace.pseudoMetrizableSpace Filter.tendsto_atTop' instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat dist_eq_norm_neg_add 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.sum_range_succ' Finset.sum_range_induction neg_add_cancel one_ne_zero add_tsub_cancel_right Nat.instOrderedSub IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT instIsLeftCancelAddOfAddLeftReflectLE IsOrderedCancelAddMonoid.toAddLeftReflectLE Nat.instIsOrderedCancelAddMonoid contravariant_lt_of_covariant_le IsOrderedAddMonoid.toAddLeftMono Nat.instIsOrderedAddMonoid neg_one_zsmul add_assoc Mathlib.Tactic.Group.zsmul_trick_zero zero_zsmul add_zero neg_add_cancel_comm AddSubgroup.add_mem AddSubgroup.neg_mem LT.lt.ne' norm_neg neg_add_rev neg_neg
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 SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup AddMonoidHom.instFunLike Filter.atTop Nat.instPreorder nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace Real Real.instLT Norm.norm SeminormedAddCommGroup.toNorm AddZero.toAdd NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid SubtractionCommMonoid.toSubtractionMonoid AddCommGroup.toDivisionAddCommMonoid	—	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	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace 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	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace 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	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace 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	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace 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 SeminormedCommGroup.toPseudoMetricSpace Real Norm.norm SeminormedCommGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup SeminormedCommGroup.toSeminormedGroup Real.pseudoMetricSpace Real.instZero	—	—
tendsto_iff_norm_inv_mul_tendsto_zero 📖	mathematical	—	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Real Norm.norm SeminormedGroup.toNorm MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid SeminormedGroup.toGroup InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid Real.pseudoMetricSpace Real.instZero	—	—
tendsto_iff_norm_neg_add_tendsto_zero 📖	mathematical	—	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Real Norm.norm SeminormedAddGroup.toNorm AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid Real.pseudoMetricSpace Real.instZero	—	dist_eq_norm_neg_add tendsto_iff_dist_tendsto_zero
tendsto_iff_norm_sub_tendsto_zero 📖	mathematical	—	Filter.Tendsto nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace Real Norm.norm SeminormedAddCommGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup 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 SeminormedCommGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup SeminormedCommGroup.toSeminormedGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedCommGroup.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 SeminormedCommGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid SeminormedGroup.toGroup SeminormedCommGroup.toSeminormedGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedCommGroup.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 NormedCommGroup.toNorm DivInvMonoid.toDiv Group.toDivInvMonoid NormedGroup.toGroup NormedCommGroup.toNormedGroup nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedCommGroup.toPseudoMetricSpace NormedCommGroup.toSeminormedCommGroup Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	tendsto_norm_inv_mul_self_nhdsNE
tendsto_norm_inv_mul_self 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid SeminormedGroup.toGroup InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace Real.pseudoMetricSpace Real.instZero	—	dist_eq_norm_inv_mul dist_self Filter.Tendsto.dist Filter.tendsto_id tendsto_const_nhds
tendsto_norm_inv_mul_self_nhdsGE 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedGroup.toNorm MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass DivInvMonoid.toMonoid Group.toDivInvMonoid SeminormedGroup.toGroup InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace nhdsWithin Real.pseudoMetricSpace Real.instZero Set.Ici Real.instPreorder	—	tendsto_nhdsWithin_iff tendsto_norm_inv_mul_self
tendsto_norm_inv_mul_self_nhdsNE 📖	mathematical	—	Filter.Tendsto Real Norm.norm NormedGroup.toNorm MulOne.toMul MulOneClass.toMulOne Monoid.toMulOneClass ESeminormedMonoid.toMonoid UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedGroup.toPseudoMetricSpace NormedGroup.toSeminormedGroup ENormedMonoid.toESeminormedMonoid NormedGroup.toENormedMonoid InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid Group.toDivisionMonoid NormedGroup.toGroup nhdsWithin Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	Filter.Tendsto.inf tendsto_norm_inv_mul_self Filter.tendsto_principal_principal norm_pos_iff'
tendsto_norm_neg_add_self 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace Real.pseudoMetricSpace Real.instZero	—	dist_eq_norm_neg_add dist_self Filter.Tendsto.dist Filter.tendsto_id tendsto_const_nhds
tendsto_norm_neg_add_self_nhdsGE 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedAddGroup.toNorm AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace nhdsWithin Real.pseudoMetricSpace Real.instZero Set.Ici Real.instPreorder	—	tendsto_nhdsWithin_iff tendsto_norm_neg_add_self Set.mem_Ici norm_nonneg Filter.eventually_true
tendsto_norm_neg_add_self_nhdsNE 📖	mathematical	—	Filter.Tendsto Real Norm.norm NormedAddGroup.toNorm AddZero.toAdd AddZeroClass.toAddZero AddMonoid.toAddZeroClass ESeminormedAddMonoid.toAddMonoid UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddGroup.toPseudoMetricSpace NormedAddGroup.toSeminormedAddGroup ENormedAddMonoid.toESeminormedAddMonoid NormedAddGroup.toENormedAddMonoid NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid AddGroup.toSubtractionMonoid NormedAddGroup.toAddGroup nhdsWithin Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	Filter.Tendsto.inf tendsto_norm_neg_add_self Filter.tendsto_principal_principal norm_pos_iff neg_add_eq_zero Set.mem_compl_iff Set.mem_singleton_iff
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	—	mul_one norm_inv' tendsto_norm_inv_mul_self
tendsto_norm_sub_self 📖	mathematical	—	Filter.Tendsto Real Norm.norm SeminormedAddCommGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.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 SeminormedAddCommGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.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 NormedAddCommGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid NormedAddGroup.toAddGroup NormedAddCommGroup.toNormedAddGroup nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace NormedAddCommGroup.toSeminormedAddCommGroup Compl.compl Set Set.instCompl Set.instSingletonSet Real.pseudoMetricSpace Real.instZero Set.Ioi Real.instPreorder	—	norm_neg_add tendsto_norm_neg_add_self_nhdsNE
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	—	add_zero norm_neg tendsto_norm_neg_add_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_inv_mul_tendsto_zero mul_one norm_inv'
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_neg_add_tendsto_zero add_zero norm_neg

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