Basic

📁 Source: Mathlib/Analysis/Normed/Field/Basic.lean

Statistics

Metric	Count
Definitions toNormedField, DenselyNormedField, toNontriviallyNormedField, toNormedField, NontriviallyNormedField, ofNormNeOne, toNormedField, NormedDivisionRing, induced, toDivisionRing, toMetricSpace, toNorm, toNormedRing, NormedField, induced, toField, toMetricSpace, toNorm, toNormedCommRing, toNormedDivisionRing, denselyNormedField, normedField, toNormedField	23
Theorems lt_norm_lt, non_trivial, dist_eq, norm_eq_one_iff_ne_zero_of_discrete, norm_le_one_of_discrete, norm_mul, toNormMulClass, to_normOneClass, unitClosedBall_eq_univ_of_discrete, denselyOrdered_range_nnnorm, denselyOrdered_range_norm, dist_eq, exists_enorm_lt, exists_enorm_lt_one, exists_lt_enorm, exists_lt_nnnorm, exists_lt_nnnorm_lt, exists_lt_norm, exists_lt_norm_lt, exists_nnnorm_lt, exists_nnnorm_lt_one, exists_norm_lt, exists_norm_lt_one, exists_one_lt_enorm, exists_one_lt_nnnorm, exists_one_lt_norm, nhdsNE_neBot, nhdsWithin_isUnit_neBot, norm_mul, nnnorm_mul_toNNReal, toNNReal_mul_nnnorm, dist_inv_inv₀, enorm_inv, nndist_inv_inv₀, nnnorm_commutator_sub_one_le, nnnorm_div, nnnorm_inv, nnnorm_zpow, norm_commutator_sub_one_le, norm_div, norm_inv, norm_zpow	42
Total	65

AbsoluteValue

Definitions

Name	Category	Theorems
toNormedField 📖	CompOp	—

DenselyNormedField

Definitions

Name	Category	Theorems
toNontriviallyNormedField 📖	CompOp	1448 math math: ContinuousMap.dense_setOf_contDiff, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, LinearMap.IsSymmetric.clm_adjoint_eq, Real.differentiableOn_arcosh, Real.hasDerivAt_arccos, Real.hasDerivAt_fourier, WeakFEPair.differentiableAt_Λ, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, UpperHalfPlane.mdifferentiable_num, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, SchwartzMap.lineDerivOpCLM_eq, HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div, ConformalAt.differentiableAt, Real.iteratedDerivWithin_cos_Ioo, ZMod.differentiableAt_LFunction, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Complex.differentiableAt_sin, Bundle.ContMDiffRiemannianMetric.contMDiff, InnerProductSpace.isPositive_rankOne_self, SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, Real.differentiable_arctan, exists_contMDiffMap_zero_one_of_isClosed, differentiable_const_cpow_of_neZero, Real.differentiableAt_mulExpNegMulSq, ContinuousLinearMap.integral_compLp, CuspFormClass.holo, InnerProductSpace.toLinearIsometry_toDual, HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div, ModularFormClass.differentiableAt_comp_ofComplex, Real.iteratedDeriv_odd_cos, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, Real.hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, Real.differentiableAt_arcsin, hasFDerivAt_iff_hasGradientAt, HurwitzZeta.differentiableAt_hurwitzZetaEven, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, Real.contDiffOn_log, ModularFormClass.hasFPowerSeries_cuspFunction, Real.fderiv_fourierIntegral, Complex.iteratedDeriv_even_cosh, ModularFormClass.qExpansionFormalMultilinearSeries_radius, InnerProductSpace.rankOne_one_left_eq_innerSL, ConvexOn.rightDeriv_le_slope_of_mem_interior, hasDerivAt_sqrt_mul_log, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, SmoothBumpFunction.support_eq_symm_image, ContinuousLinearMap.opNorm_bound_of_ball_bound, RightDerivMeasurableAux.D_subset_differentiable_set, ContinuousLinearMap.sSup_unit_ball_eq_norm, intervalIntegral.derivWithin_integral_of_tendsto_ae_left, PeriodPair.deriv_weierstrassP, Real.deriv_negMulLog, Real.hasDerivAt_sigmoid, ContDiffMapSupportedInClass.map_contDiff, Real.analyticOn_cos, PeriodPair.coeff_weierstrassPExceptSeries, ProbabilityTheory.analyticOn_mgf, Complex.analyticAt_cosh, Real.contDiffAt_arcosh, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, OpenPartialHomeomorph.contDiff_unitBallBall_symm, deriv_abs, Complex.meromorphic_digamma, Real.nnnorm_deriv_mulExpNegMulSq_le_one, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, Real.deriv_binEntropy, PeriodPair.iteratedDeriv_weierstrassPExcept_self, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, intervalIntegral.integral_hasDerivWithinAt_right, norm_jacobiTheta₂_term_fderiv_ge, contDiffAt_norm_smul_iff, InnerProductSpace.isIdempotentElem_rankOne_self, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, SmoothBumpFunction.rOut_pos, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, Real.analyticOnNhd_sin, summableLocallyUniformlyOn_iteratedDerivWithin_cexp, Real.hasStrictDerivAt_rpow_const_of_ne, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, circleIntegral_def_Icc, setOf_riemmanianEDist_lt_subset_nhds, one_add_cpow_hasFPowerSeriesAt_zero, circleIntegrable_iff, hasFDerivAt_stereoInvFunAux, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, DirichletCharacter.continuousOn_neg_logDeriv_LFunction_of_nontriv, Real.fderiv_fourierChar_neg_bilinear_right_apply, Unitization.real_cfcₙ_eq_cfc_inr, intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, ContDiffBumpBase.smooth, LipschitzWith.memLp_lineDeriv, Real.analyticOn_cosh, differentiableWithinAt_abs_pos, ContDiffMapSupportedIn.structureMapCLM_apply, eventually_enorm_mfderivWithin_symm_extChartAt_lt, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, Complex.analyticOn_sin, isClosedEmbedding_cfcₙAux, SmoothPartitionOfUnity.locallyFinite, exists_smooth_one_nhds_of_subset_interior, Real.differentiable_sinh, AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, LinearMap.adjoint_eq_toCLM_adjoint, expNegInvGlue.not_analyticAt_zero, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, SmoothPartitionOfUnity.nonneg, hasDerivAt_bernoulliFun, ContDiffPointwiseHolderAt.isBigO, Real.deriv_log, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, SchwartzMap.decay', Complex.ofRealCLM_norm, contMDiff_neg_sphere, not_differentiableAt_norm_zero, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, Continuous.integral_hasStrictDerivAt, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Continuous.exists_contDiff_dist_le_of_forall_mem_ball_dist_le, InnerProductSpace.toDual_symm_apply, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, IsOpen.exists_msmooth_support_eq, IsOpen.exists_smooth_support_eq, Complex.iteratedDeriv_odd_sinh, SmoothPartitionOfUnity.locallyFinite', Real.hasDerivAt_sin, Complex.hasStrictDerivAt_tan, MeasureTheory.charFun_toDual_symm_eq_charFunDual, Real.differentiableOn_log, lintegral_fderiv_lineMap_eq_edist, iteratedDerivWithin_tsum_cexp_eq, PeriodPair.iteratedDeriv_derivWeierstrassPExcept_self, Real.iteratedDeriv_even_cosh, Real.differentiableOn_arcsin, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, monomial_has_deriv_aux, DirichletCharacter.LSeries_twist_vonMangoldt_eq, Real.contDiffAt_tan, Real.hasDerivAt_mul_log, differentiableWithinAt_abs, Complex.deriv_cos, Complex.not_differentiableAt_Gamma_neg_nat, Real.deriv_arccos, Complex.differentiableOn_dslope, Real.hasStrictDerivAt_sinh, LocallyBoundedVariationOn.ae_differentiableWithinAt, Real.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, InnerProductSpace.inner_left_rankOne_apply, Real.analyticWithinAt_sinh, ContDiffMapSupportedIn.contDiff, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, stronglyMeasurable_derivWithin_Ioi, Real.contDiffAt_rpow_const_of_le, SchwartzMap.fderivCLM_apply, hasStrictDerivAt_abs_pos, deriv_sqrt_mul_log, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, intervalIntegral.deriv_integral_right, analyticOnNhd_circleMap, antideriv_bernoulliFun, Real.hasStrictFDerivAt_rpow_of_pos, differentiableAt_sigmoid, differentiableOn_iteratedDerivWithin_cotTerm, Real.analyticAt_cos, ContinuousLinearMap.eq_adjoint_iff, Icc_isBoundaryPoint_bot, deriv_abs_neg, Real.differentiableWithinAt_arccos_Ici, Complex.differentiableAt_GammaAux, Homeomorph.contDiff_unitBall, gelfandStarTransform_naturality, Real.sinc_eq_dslope, InnerProductSpace.rankOne_apply, MeasureTheory.convolution_tendsto_right, HarmonicAt.analyticAt_complex_partial, exists_deriv_eq_zero, IsSelfAdjoint.adjoint_eq, ContDiffMapSupportedIn.contDiff', InformationTheory.leftDeriv_klFun_one, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, exists_smooth_tsupport_subset, RCLike.reCLM_norm, Real.hasDerivAt_arcosh, PeriodPair.analyticAt_weierstrassPExcept, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, Complex.analyticWithinAt_cosh, DirichletCharacter.deriv_LFunction_eq_deriv_LSeries, ModularForm.tsum_logDeriv_eta_q, ConvexOn.monotoneOn_rightDeriv, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, SmoothBumpCovering.mem_extChartAt_source_of_eq_one, Real.iteratedDerivWithin_cos_Icc, ContinuousLinearMap.isPositive_self_comp_adjoint, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, LocallyBoundedVariationOn.ae_differentiableAt, MonotoneOn.intervalIntegrable_deriv, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, ContinuousLinearMap.toSesqForm_apply_coe, MeasureTheory.MemLp.exist_eLpNorm_sub_le, IsLocalExtr.lineDeriv_eq_zero, analyticAt_rexp, LinearIsometryEquiv.adjoint_eq_symm, ZMod.differentiableAt_completedLFunction, ordinaryHypergeometricSeries_radius_eq_one, Complex.contDiff_cosh, IsContDiffImplicitAt.hasFDerivAt, IsExtrOn.lineDerivWithin_eq_zero, Real.one_add_rpow_hasFPowerSeriesOnBall_zero, ContinuousLinearMap.sSup_sphere_eq_nnnorm, VectorFourier.fourierPowSMulRight_eq_comp, Complex.analyticOn_cosh, mfderivWithin_projIcc_one, Real.analyticAt_sinh, Real.hasStrictDerivAt_arccos, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, SingularManifold.isManifold, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, ContDiffPointwiseHolderAt.differentiableAt, Complex.hasDerivAt_GammaIntegral, Complex.deriv_ofReal_cpow_const, LSeries_iteratedDeriv, Complex.analyticOnNhd_univ_iff_differentiable, Real.fderiv_fourier, ContinuousLinearMap.adjointAux_norm, CStarMatrix.norm_def', Real.norm_deriv_mulExpNegMulSq_le_one, binomialSeries_radius_eq_one, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, SmoothBumpFunction.exists_r_pos_lt_subset_ball, Icc_isInteriorPoint_interior, Real.not_continuousAt_deriv_mul_log_zero, Complex.analyticOn_sinh, OpenPartialHomeomorph.contDiff_univUnitBall, SchwartzMap.fourier_lineDerivOp_eq, hasStrictDerivAt_exp_smul_const, differentiable_euclidean, Monotone.ae_differentiableAt, mfderivWithin_comp_projIcc_one, UpperHalfPlane.mdifferentiable_inv_denom, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', Complex.hasStrictFDerivAt_cpow', InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, SmoothPartitionOfUnity.sum_finsupport', SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, analyticOnNhd_rexp, TestFunction.contDiff, Real.differentiableAt_rpow_const_of_ne, Manifold.pathELength_def, IccLeftChart_extend_interior_pos, HurwitzZeta.differentiable_expZeta_of_ne_zero, Real.hasDerivAt_arsinh, SchwartzMap.differentiable, HasFDerivAt.curveIntegral_segment_source, mellin_hasDerivAt_of_isBigO_rpow, HurwitzZeta.differentiable_hurwitzZetaOdd, LSeries_deriv_eqOn, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZeta, Real.contDiffAt_sqrt, hasDerivAt_abs_neg, Real.deriv_sqrt_aux, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, LSeries_analyticOnNhd, Real.deriv_rpow_const, instIsContinuousRiemannianBundleTrivial, hasDerivWithinAt_abs, contDiff_circleMap, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, VectorFourier.hasFDerivAt_fourierIntegral, Complex.deriv_Gamma_add_one, Real.deriv_sinh, MeasureTheory.convolution_precompR_apply, ContinuousLinearMap.instCStarRingId, UpperHalfPlane.contMDiff_coe, InformationTheory.hasDerivAt_klFun, CuspForm.holo', contMDiff_coe_sphere, InnerProductSpace.nnnorm_rankOne, Complex.analyticAt_sin, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, ae_differentiableAt_norm, IsOpen.exists_contMDiff_support_eq_aux, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, HasGradientWithinAt.differentiableWithinAt, ContinuousLinearMap.setIntegral_compLp, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, PeriodPair.analyticOnNhd_derivWeierstrassPExcept, InnerProductSpace.isSymmetricProjection_rankOne_self, Bundle.ContinuousRiemannianMetric.continuous, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, hasGradientWithinAt_iff_hasFDerivWithinAt, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, SmoothBumpCovering.toSmoothPartitionOfUnity_apply, Function.hasTemperateGrowth_iff_isBigO, HasGradientAtFilter.hasDerivAtFilter', DirichletCharacter.differentiableAt_LFunction, IsLocalExtr.fderiv_eq_zero, intervalIntegral.integral_hasDerivWithinAt_left, Real.differentiableOn_rpow_const, Real.smoothTransition.contDiffAt, ProbabilityTheory.analyticAt_mgf, ContDiffBump.contDiff, Real.hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, MeasureTheory.posConvolution_eq_convolution_indicator, LipschitzWith.ae_lineDifferentiableAt, InformationTheory.leftDeriv_klFun, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, hasFDerivAt_jacobiTheta₂_term, LSeries_deriv, Submodule.adjoint_subtypeL, eventually_riemmanianEDist_lt, hasStrictFDerivAt_exp, ProbabilityTheory.differentiableAt_mgf, UpperHalfPlane.contMDiff_inv_denom, analyticOn_log, InnerProductSpace.trace_rankOne, analyticOnNhd_log, Real.differentiable_cos, IsMIntegralCurveOn.comp_mul, ProbabilityTheory.iteratedDeriv_mgf, norm_cauchyPowerSeries_le, Real.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, hasFDerivAt_norm_rpow, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, Metric.exists_smooth_forall_closedBall_subset, SmoothBumpFunction.support_eq_inter_preimage, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, ContDiffBump.convolution_tendsto_right, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, WeakDual.CharacterSpace.homeoEval_naturality, ProbabilityTheory.iteratedDeriv_complexMGF, contDiffOn_stereoToFun, Complex.contDiffAt_log, Real.hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, Real.analyticAt_sin, hasStrictFDerivAt_exp_smul_const', analyticOnNhd_sigmoid, Real.deriv_Gamma_nat, Complex.hasStrictFDerivAt_cpow, InnerProductSpace.adjoint_rankOne, Real.LogDeriv_exp, InnerProductSpace.rankOne_eq_zero, Complex.differentiable_iteratedDeriv_sin, Real.analyticOnNhd_cosh, Complex.hasStrictDerivAt_sinh, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, InnerProductSpace.inner_right_rankOne_apply, Real.hasDerivAt_qaryEntropy, ProbabilityTheory.analyticOnNhd_cgf, SmoothBumpFunction.tsupport_subset_symm_image_closedBall, SmoothPartitionOfUnity.le_one, Monotone.ae_hasDerivAt, LinearMap.IsSymmetric.coe_toSelfAdjoint, ContDiffMapSupportedIn.uniformSpace_eq_iInf, Continuous.exists_contMDiff_approx, Real.abs_iteratedDeriv_cos_le_one, Real.fourier_mul_convolution_eq, VectorFourier.iteratedFDeriv_fourierIntegral, Real.differentiableAt_rpow_of_ne, exists_contMDiffMap_zero_one_nhds_of_isClosed, Real.one_div_one_sub_hasFPowerSeriesOnBall_zero, ContDiffBump.normed_convolution_eq_right, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, Complex.iteratedDeriv_odd_sin, Real.differentiableAt_log, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, HarmonicAt.differentiableAt_complex_partial, Real.differentiable_fourierIntegral, ProbabilityTheory.exists_cgf_eq_iteratedDeriv_two_cgf_mul, tendsto_logDeriv_euler_sin_div, EisensteinSeries.div_linear_zpow_differentiableOn, ZMod.differentiable_completedLFunction, Real.deriv_inv_log, logDeriv_sin_div_eq_cot, Real.iteratedDeriv_add_one_cosh, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, aestronglyMeasurable_derivWithin_Ioi, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, frontier_range_modelWithCornersEuclideanHalfSpace, ContDiffMapSupportedIn.structureMapCLM_zero_apply, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, Real.iteratedDeriv_add_one_sinh, SchwartzMap.norm_iteratedFDeriv_le_seminorm, contDiff_bernoulliFun, EuclideanSpace.instIsManifoldSphere, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, InnerProductSpace.toDualMap_apply, Complex.logDeriv_sin, Real.differentiable_exp, ContinuousLinearMap.adjoint_inner_left, ProbabilityTheory.differentiableOn_mgf, contDiffOn_abs, ProbabilityTheory.analyticAt_complexMGF, Real.hasStrictDerivAt_arcosh, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, Real.differentiableAt_cos, SmoothBumpFunction.contMDiffAt, Complex.deriv_Gamma_nat, Real.deriv_log', PeriodPair.weierstrassPExcept_eq_tsum, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, Orthonormal.isHilbertSum, Real.one_div_sub_hasFPowerSeriesOnBall_zero, Complex.logDeriv_exp, Complex.IsExactOn.differentiableOn, IsContMDiffRiemannianBundle.exists_contMDiff, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, hasDerivAt_jacobiTheta₂_fst, Real.deriv2_binEntropy, InnerProductSpace.rank_rankOne, ArithmeticFunction.LSeries_vonMangoldt_eq_deriv_riemannZeta_div, SmoothBumpCovering.sum_toSmoothPartitionOfUnity_eq, IsExtrOn.lineDeriv_eq_zero, InnerProductSpace.toDual_apply_apply, ContinuousLinearMap.adjointAux_apply, contMDiff_subtype_coe_Icc, Real.hasDerivAt_arcsin, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, PeriodPair.differentiableOn_derivWeierstrassP, Complex.hasDerivAt_sinh, differentiable_inner, Real.analyticOn_arcosh, PeriodPair.meromorphic_derivWeierstrassP, Real.hasDerivAt_tan, InnerProductSpace.rankOne_def, Real.deriv_tan_sub_id, Real.contDiffAt_log, Real.leftDeriv_mul_log, SchwartzMap.convolution_apply, Real.differentiableAt_Gamma, Real.hasStrictDerivAt_cosh, ProbabilityTheory.analyticOn_cgf, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, Complex.hasDerivAt_Gammaℂ_one, Complex.analyticOnNhd_sin, gradient_eq_deriv', Complex.hasStrictDerivAt_const_cpow, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, Real.hasStrictDerivAt_log, IsMinOn.lineDerivWithin_eq_zero, Real.iteratedDeriv_add_one_cos, SmoothBumpFunction.ball_subset, SchwartzMap.smulRightCLM_apply_apply, Real.differentiableOn_Gamma_Ioi, Real.differentiableOn_mul_log, ProbabilityTheory.analyticAt_cgf, LinearMap.IsSymmetric.toSelfAdjoint_apply, fderiv_norm_smul_neg, integrableOn_Ioi_deriv_ofReal_cpow, ExistsContDiffBumpBase.u_exists, Real.deriv_mulExpNegMulSq, Real.deriv_fourierIntegral, hasFDerivAt_exp_smul_const', dense_differentiableAt_norm, Complex.one_add_cpow_hasFPowerSeriesAt_zero, SmoothBumpFunction.eqOn_source, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn, MonotoneOn.intervalIntegral_deriv_mem_uIcc, Real.deriv_qaryEntropy, contDiffPointwiseHolderAt_iff, IsContDiffImplicitAt.implicitFunction_apply, Real.deriv_arctan, monotoneOn_deriv_descPochhammer_eval, UpperHalfPlane.contMDiff_num, SmoothPartitionOfUnity.sum_eq_one', UpperHalfPlane.mdifferentiable_denom, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, Complex.hasFDerivAt_cpow, Real.iteratedDerivWithin_sinh_Icc, Complex.differentiable_Gammaℝ_inv, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, differentiableAt_jacobiTheta₂_fst, Complex.iter_deriv_exp, SmoothPartitionOfUnity.mem_finsupport, Complex.differentiableAt_tan, ModularForm.differentiableAt_eta_tprod, has_antideriv_at_fourier_neg, Real.differentiableAt_log_iff, IsOpen.exists_contMDiff_support_eq, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, Orientation.areaForm'_apply, contDiffAt_euclidean, eqOn_iteratedDerivWithin_cotTerm_upperHalfPlaneSet, Real.hasStrictDerivAt_const_rpow_of_neg, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, Real.contDiff_arsinh, IsContDiffImplicitAt.implicitFunctionData_pt, Real.contDiff_fourierIntegral, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, MeasureTheory.dist_convolution_le, intervalIntegral.integral_hasStrictFDerivAt, Real.contDiffAt_arcsin_iff, Complex.hasDerivAt_cos, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, InnerProductSpace.enorm_rankOne, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, analyticAt_sigmoid, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, contDiffAt_norm, Submodule.starProjection_norm_le, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, OpenPartialHomeomorph.contDiffOn_univUnitBall_symm, eqOn_iteratedDeriv_cotTerm, ordinaryHypergeometric_radius_top_of_neg_nat₂, MeasureTheory.norm_weightedSMul_le, differentiableAt_abs_neg, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, hasDerivAt_fourier_neg, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, hasStrictDerivAt_abs, Orthonormal.linearIsometryEquiv_symm_apply_single_one, Real.iteratedDerivWithin_sin_Icc, SchwartzMap.fourierInv_lineDerivOp_eq, Real.iteratedDeriv_odd_sinh, Complex.hasStrictDerivAt_log, Real.hasDerivAt_cos, Submodule.norm_starProjection, analyticOnNhd_cexp, hasDerivAt_exp_smul_const, exists_dual_vector, ContinuousLinearMap.rayleighQuotient_le_norm, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, ProbabilityTheory.hasDerivAt_complexMGF, LinearMap.isPositive_toContinuousLinearMap_iff, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, Real.differentiableWithinAt_arcsin_Ici, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, ModularFormClass.qExpansion_coeff, Real.hasDerivWithinAt_arcsin_Ici, hasDerivAt_taylorWithinEval_succ, IsMIntegralCurveAt.hasMFDerivAt, HurwitzZeta.differentiableAt_completedHurwitzZetaEven, intervalIntegral.deriv_integral_left, differentiableWithinAt_euclidean, contDiff_norm_sq, ContinuousLinearMap.sSup_sphere_eq_norm, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, aestronglyMeasurable_derivWithin_Ici, deriv_abs_pos, ProbabilityTheory.hasFPowerSeriesAt_mgf, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven, HasGradientAt.differentiableAt, Conformal.differentiable, Real.differentiableAt_cosh, taylorWithinEval_succ, IsSelfAdjoint.conj_adjoint, conformalAt_iff_isConformalMap_fderiv, exists_msmooth_support_eq_eq_one_iff, Polynomial.hermite_eq_deriv_gaussian', le_radius_cauchyPowerSeries, intervalIntegral.derivWithin_integral_right, Real.analyticOnNhd_arsinh, Real.analyticAt_arcosh, hasStrictFDerivAt_norm_sq, SmoothPartitionOfUnity.coe_finsupport, SchwartzMap.fourier_evalCLM_eq, Emetric.exists_contMDiffMap_forall_closedBall_subset, SchwartzMap.contDiffAt, Real.deriv_exp, Real.contDiff_sin, SchwartzMap.hasFDerivAt, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, SchwartzMap.evalCLM_apply_apply, SingularManifold.boundaryless, Complex.analyticOn_iff_differentiableOn, Real.hasDerivAt_rpow_const, IsMinOn.lineDeriv_eq_zero, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, differentiableAt_norm_smul, Real.iter_deriv_exp, hasDerivAt_integral_of_dominated_loc_of_deriv_le, Metric.exists_contMDiffMap_forall_closedBall_subset, Real.differentiable_iteratedDeriv_cos, exists_dual_vector'', exists_msmooth_zero_iff_one_iff_of_isClosed, Complex.differentiable_sin, binomialSeries_radius_eq_top_of_nat, isTheta_deriv_rpow_const_atTop, IccLeftChart_extend_bot, conformalFactorAt_inner_eq_mul_inner', ModularForm.logDeriv_eta_eq_E2, Matrix.l2_opNNNorm_def, SmoothPartitionOfUnity.finsum_smul_mem_convex, PeriodPair.order_weierstrassP, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, hasDerivAt_exp, Complex.analyticOn_cos, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, MeromorphicNFOn.Gamma, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, Complex.hasDerivAt_logTaylor, DirichletCharacter.differentiable_LFunction, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, Real.tendsto_rightDeriv_mul_log_atTop, Real.hasStrictDerivAt_arsinh, HarmonicAt.analyticAt, SmoothPartitionOfUnity.sum_le_one', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, Real.contDiff_cos, ContinuousLinearMap.isSelfAdjoint_iff', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, instIsRiemannianManifoldModelWithCornersSelfReal, eventually_norm_symmL_trivializationAt_self_comp_lt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, SmoothBumpFunction.isClosed_image_of_isClosed, SmoothPartitionOfUnity.sum_nonneg, MeasureTheory.L1.nnnorm_Integral_le_one, Manifold.riemannianEDist_def, hasDerivAt_circleMap, Real.one_div_one_sub_rpow_hasFPowerSeriesOnBall_zero, IsContDiffImplicitAt.implicitFunctionData_rightFun_apply, Real.iteratedDeriv_even_cos, curveIntegralFun_def', modelWithCornersEuclideanHalfSpace_zero, ContinuousLinearMap.norm_extendTo𝕜'_bound, Complex.iteratedDeriv_add_one_sinh, SmoothBumpFunction.isClosed_symm_image_closedBall, Real.differentiableAt_arctan, HasGradientWithinAt.fderivWithin_apply, differentiableWithinAt_abs_neg, ProbabilityTheory.iteratedDeriv_mgf_zero, Real.differentiableOn_negMulLog, Complex.iteratedDeriv_even_cos, ModularForm.differentiableAt_eta_of_mem_upperHalfPlaneSet, hasDerivAt_fourier, OpenPartialHomeomorph.contDiff_univBall, Complex.iteratedDeriv_add_one_sin, Real.rightDeriv_mul_log, Real.fourier_bilin_convolution_eq, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, ModularFormClass.differentiableAt_cuspFunction, ModularForm.logDeriv_one_sub_cexp, InnerProductSpace.rankOne_def', Complex.HadamardThreeLines.diffContOnCl_interpStrip, hasStrictDerivAt_abs_neg, intervalIntegral.deriv_integral_of_tendsto_ae_right, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DoubleCentralizer.instCStarRing, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, hasFPowerSeriesOn_cauchy_integral, UpperHalfPlane.contMDiff_denom_zpow, SmoothBumpCovering.exists_finset_toSmoothPartitionOfUnity_eventuallyEq, contDiffOn_tsum_cexp, deriv_circleMap, Real.analyticWithinAt_cos, ProbabilityTheory.deriv_mgf, ExistsContDiffBumpBase.u_smooth, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', Real.contDiff_fourier, ValueDistribution.logCounting_congr_codiscrete, Complex.analyticAt_sinh, Complex.hasStrictDerivAt_cos, LipschitzWith.ae_differentiableAt, Real.differentiableWithinAt_arcsin_Iic, Polynomial.hermite_eq_deriv_gaussian, SingularManifold.instBoundarylessManifoldRealM, Complex.analyticOn_univ_iff_differentiable, Complex.conjCLE_nnorm, contMDiffWithinAt_comp_projIcc_iff, hasFDerivAt_polarCoord_symm, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, Complex.iteratedDeriv_add_one_cos, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, Real.deriv_arcsin, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, ArithmeticFunction.LSeries_vonMangoldt_eq, SchwartzMap.le_seminorm, ConvexOn.monotoneOn_leftDeriv, Real.iteratedDeriv_fourier, Real.differentiable_sin, DirichletCharacter.differentiableAt_completedLFunction, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, eventually_norm_symmL_trivializationAt_comp_self_lt, Real.eulerMascheroniConstant_eq_neg_deriv, Real.not_differentiableAt_inv_log_zero, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, Real.deriv_mul_log, cot_pi_mul_contDiffWithinAt, IsOpen.exists_msmooth_support_eq_aux, Real.contDiffAt_rpow_const, Real.logDeriv_exp, Complex.digamma_def, SmoothBumpFunction.eventuallyEq_of_mem_source, ContinuousLinearMap.norm_extendTo𝕜', NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, OpenPartialHomeomorph.contDiff_unitBallBall, PeriodPair.coeff_weierstrassPSeries, exists_contMDiff_zero_iff_one_iff_of_isClosed, hasGradientAt_iff_hasFDerivAt, Complex.deriv_cosh, IsMaxOn.lineDerivWithin_eq_zero, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, locallyFinsuppWithin.logCounting_divisor, intervalIntegral.derivWithin_integral_of_tendsto_ae_right, Real.differentiableAt_tan, Real.differentiable_cosh, VectorFourier.contDiff_fourierIntegral, Complex.hasStrictDerivAt_sin, ContDiffBump.contDiff_normed, Complex.contDiffAt_tan, Complex.analyticWithinAt_sinh, Diffeology.isPlot_iff_contDiff, Complex.analyticOnNhd_cosh, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', contDiffAt_inner, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, hasFDerivAt_exp_smul_const, hasFDerivAt_jacobiTheta₂, Real.hasDerivAt_log, oneTangentSpaceIcc_def, IccRightChart_extend_top_mem_frontier, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, hasFDerivWithinAt_euclidean, InnerProductSpace.laplacianWithin_eq_iteratedDerivWithin_real, Module.Basis.parallelepiped_eq_map, Complex.deriv_tan, SmoothPartitionOfUnity.sum_eq_one, SchwartzMap.hasDerivAt, ContinuousLinearMap.instNonnegSpectrumClassRealId, Complex.hasDerivAt_cosh, Unitization.nnreal_cfcₙ_eq_cfc_inr, RCLike.ofRealCLM_norm, HurwitzZeta.differentiableAt_hurwitzZeta, ContDiffBump.contDiffAt, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, InnerProductSpace.rankOne_comp_rankOne, Real.hasStrictDerivAt_arctan, Complex.contDiff_sinh, DirichletCharacter.deriv_LFunctionTrivChar₁_apply_of_ne_one, LSeries_differentiableOn, IsLocalMax.lineDeriv_eq_zero, differentiableAt_riemannZeta, intervalIntegral.differentiable_integral_of_continuous, Real.iteratedDeriv_odd_cosh, LipschitzWith.locallyIntegrable_lineDeriv, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, InnerProductSpace.rankOne_comp, SmoothBumpCovering.embeddingPiTangent_injOn, exists_dual_vector', intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, Real.analyticOn_sin, Real.hasDerivAt_mulExpNegMulSq, InnerProductSpace.toMatrix_rankOne, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, eventually_norm_symmL_trivializationAt_lt, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, differentiableAt_euclidean, PeriodPair.hasFPowerSeriesOnBall_weierstrassP, InnerProductSpace.isSymmetric_rankOne_self, Real.differentiableOn_arccos, IsLocalMin.deriv_eq_zero, harmonic_is_realOfHolomorphic, Real.hasDerivAt_cosh, Real.tendsto_deriv_mul_log_atTop, LipschitzOnWith.ae_differentiableWithinAt_real, ModularForm.summable_logDeriv_one_sub_eta_q, CStarRing.instRegularNormedAlgebra, SmoothBumpCovering.mem_extChartAt_ind_source, PeriodPair.weierstrassPSeries_hasSum, Complex.hasDerivAt_sin, SchwartzMap.tsupport_fderivCLM_subset, analyticOn_cexp, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Real.hasDerivAt_fourierChar, WStarAlgebra.exists_predual, analyticWithinAt_sigmoid, analyticOn_sigmoid, LSeries.iteratedDeriv_alternating, Complex.conjCLE_enorm, Real.differentiableWithinAt_arccos_Iic, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, PeriodPair.deriv_derivWeierstrassPExcept_self, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, Complex.hasStrictDerivAt_exp, Real.iteratedDerivWithin_sinh_Ioo, expNegInvGlue.contDiff, ODE.hasDerivWithinAt_picard_Icc, Real.iteratedFDeriv_fourier, differentiableOn_euclidean, Real.hasFPowerSeriesOnBall_linear_zero, differentiableAt_abs_pos, ContinuousLinearMap.adjoint_toSpanSingleton, Complex.hasStrictDerivAt_cosh, Real.contDiffOn_arccos, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, Real.hasDerivAt_Gamma_one_half, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, isMIntegralCurveAt_comp_mul_ne_zero, Unitization.instCStarRing, setOf_riemannianEDist_lt_subset_nhds, range_mfderiv_coe_sphere, eventually_riemannianEDist_le_edist_extChartAt, IsMIntegralCurve.comp_mul, PeriodPair.hasFPowerSeriesOnBall_derivWeierstrassPExcept, HasFDerivWithinAt.curveIntegral_segment_source, Real.iteratedDeriv_even_sinh, Real.one_add_rpow_hasFPowerSeriesAt_zero, differentiableAt_const_cpow_of_neZero, Real.hasFDerivAt_fourierIntegral, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, Real.differentiable_mulExpNegMulSq, Real.differentiableAt_arccos, NormedSpace.polar_ball, Complex.LogDeriv_exp, Real.not_DifferentiableAt_log_mul_zero, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, InnerProductSpace.toContinuousLinearMap_toDualMap, Real.contDiff_sinh, Complex.differentiable_one_div_Gamma, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, MeasureTheory.LocallyIntegrable.exists_contDiff_dist_le_of_forall_mem_ball_dist_le, SmoothBumpFunction.coe_def, SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, Complex.not_differentiableAt_Gamma_zero, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, InformationTheory.rightDeriv_klFun, interior_range_modelWithCornersEuclideanHalfSpace, ExistsContDiffBumpBase.y_smooth, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, contDiff_inner, ProbabilityTheory.differentiableOn_complexMGF, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, InnerProductSpace.toDual_apply_eq_toDualMap_apply, IsContDiffImplicitAt.contDiffAt, Real.hasStrictDerivAt_cos, PeriodPair.deriv_weierstrassPExcept_same, PeriodPair.analyticOnNhd_derivWeierstrassP, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, Real.not_differentiableAt_rpow_const_zero, hasStrictFDerivAt_exp_zero, EulerSine.antideriv_cos_comp_const_mul, curveIntegral_eq_intervalIntegral_deriv, RightDerivMeasurableAux.differentiable_set_eq_D, hasFPowerSeriesOnBall_cuspFunction, Real.contDiff_arctan, innerSL_real_flip, ProbabilityTheory.iteratedDeriv_two_cgf, measurableSet_of_differentiableWithinAt_Ioi, Real.iteratedDeriv_add_one_sin, Real.differentiable_iteratedDeriv_sin, SmoothPartitionOfUnity.exists_pos_of_mem, ProbabilityTheory.deriv_mgf_zero, MeasureTheory.charFun_eq_charFunDual_toDualMap, Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero, HurwitzZeta.differentiableAt_completedCosZeta, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sigmoid, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, PeriodPair.meromorphic_weierstrassP, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, intervalIntegral.fderivWithin_integral_of_tendsto_ae, one_add_rpow_hasFPowerSeriesAt_zero, Real.iteratedDeriv_even_sin, exists_smooth_zero_one_of_isClosed, EulerSine.antideriv_sin_comp_const_mul, PeriodPair.analyticAt_derivWeierstrassPExcept, Real.analyticOnNhd_cos, Complex.differentiableAt_cosh, analyticAt_log, Diffeology.IsPlot.contDiff, NormedSpace.sInter_polar_eq_closedBall, Complex.differentiableAt_Gamma_nat_add_one, ContDiffBump.convolution_eq_right, measurable_derivWithin_Ioi, ProbabilityTheory.deriv_cgf, Complex.deriv_cos', contDiff_stereoInvFunAux, expNegInvGlue.contDiff_polynomial_eval_inv_mul, intervalIntegral.integral_hasFDerivWithinAt, SmoothBumpCovering.embeddingPiTangent_injective, ContinuousLinearMap.orthogonal_range, instIsContMDiffRiemannianBundleTrivial, exists_contMDiff_support_eq_eq_one_iff, hasDerivAt_gronwallBound, EuclideanGeometry.hasFDerivAt_inversion, isBigO_deriv_ofReal_cpow_const_atTop, stronglyMeasurable_derivWithin_Ici, hasDerivAt_ofReal_cpow_const, hasDerivAt_norm_rpow, Real.differentiableAt_tan_of_mem_Ioo, Real.not_continuousAt_deriv_qaryEntropy_zero, SmoothPartitionOfUnity.sum_finsupport_smul_eq_finsum, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, Real.contDiff_cosh, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, ProbabilityTheory.covarianceBilin_map, differentiableAt_jacobiTheta₂_snd, Real.analyticAt_arsinh, HasFDerivAt.curveIntegral_segment_source', AkraBazziRecurrence.differentiableAt_smoothingFn, one_add_cpow_hasFPowerSeriesOnBall_zero, SchwartzMap.fderivCLM_fourier_eq, SchwartzMap.derivCLM_apply, Real.deriv_cos, iteratedDeriv_exp_const_mul, Real.differentiableAt_binEntropy, Complex.hasStrictDerivAt_cpow_const, ContDiffBump.dist_normed_convolution_le, mellin_differentiableAt_of_isBigO_rpow_exp, SmoothPartitionOfUnity.sum_finsupport, Real.hasDerivAt_arctan', ContinuousLinearMap.adjoint_comp, deriv_bernoulliFun, intervalIntegral.integral_hasDerivAt_right, Real.deriv2_qaryEntropy, Real.differentiableAt_exp, Real.hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, LipschitzWith.ae_differentiableAt_of_real, InnerProductSpace.toLinearMap_rankOne, Real.abs_iteratedDeriv_sin_le_one, IsOpen.exists_contDiff_support_eq, LSeries_analyticOn, Complex.iteratedDeriv_odd_cos, Real.contDiff_rpow_const_of_le, exists_smooth_forall_mem_convex_of_local_const, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, Real.contDiffOn_arcosh, ProbabilityTheory.analyticOnNhd_mgf, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, ContDiffPointwiseHolderAt.contDiffAt, LinearMap.isStarProjection_toContinuousLinearMap_iff, Manifold.pathELength_eq_lintegral_mfderiv_Icc, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, HurwitzZeta.differentiable_cosZeta_of_ne_zero, ContDiffPointwiseHolderAt.fderiv, hasFDerivAt_pi_polarCoord_symm, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, Real.analyticAt_cosh, Submodule.adjoint_orthogonalProjection, norm_tangentSpace_vectorSpace, Complex.deriv_cpow_const, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.contDiffAt_rpow_const_of_ne, Continuous.exists_contDiff_approx, isMIntegralCurveOn_comp_mul_ne_zero, ProbabilityTheory.iteratedDeriv_two_cgf_eq_integral, logDeriv_prod_sineTerm_eq_sum_cotTerm, Complex.differentiableAt_Gamma_one, Real.differentiable_fourierChar, hasFDerivAt_integral_of_dominated_of_fderiv_le, Real.logDeriv_sin, IsContDiffImplicitAt.implicitFunctionData_rightFun_pt, mdifferentiable_jacobiTheta, IsContDiffImplicitAt.contDiffAt_implicitFunction, Real.deriv_cos', SmoothBumpCovering.support_toSmoothPartitionOfUnity_subset, isBigO_deriv_rpow_const_atTop, SchwartzMap.decay, Continuous.deriv_integral, Real.deriv_rpow_const', SchwartzMap.convolution_flip, Orthonormal.orthogonalFamily, Real.differentiableAt_arcosh, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, PeriodPair.hasFPowerSeriesOnBall_weierstrassPExcept, IsContDiffImplicitAt.implicitFunctionData_leftFun_apply, SchwartzMap.lineDerivOp_apply_eq_fderiv, SingularManifold.instIsManifoldRealM, Real.hasStrictDerivAt_sqrt, Complex.hasDerivAt_Gamma_one, TestFunction.contDiff', ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, Real.hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, ContinuousLinearMap.star_eq_adjoint, Real.iter_deriv_rpow_const, Complex.imCLM_nnnorm, SmoothBumpFunction.contMDiff, Complex.iteratedDeriv_even_sin, UpperHalfPlane.contMDiffAt_ofComplex, Real.hasDerivAt_exp, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, ProperCone.hyperplane_separation_of_notMem, Unitization.complex_cfcₙ_eq_cfc_inr, ModularForm.holo', MeasureTheory.norm_condExpInd_le, SmoothPartitionOfUnity.finite_tsupport, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ProbabilityTheory.analyticOn_complexMGF, Real.iteratedDerivWithin_cosh_Icc, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, differentiable_completedZeta₀, analyticWithinAt_rexp, Complex.differentiable_sinh, IsMIntegralCurveAt.comp_mul_ne_zero, InnerProductSpace.isIdempotentElem_rankOne_self_iff, OpenPartialHomeomorph.contDiffOn_univBall_symm, Complex.iteratedDeriv_even_sinh, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, StrongDual.toLp_apply, Real.deriv_fourierChar, Real.iteratedFDeriv_fourierIntegral, hasDerivWithinAt_abs_neg, StieltjesFunction.ae_hasDerivAt, contDiffWithinAt_abs, Complex.differentiable_iteratedDeriv_sinh, Real.contDiffAt_arccos, Real.differentiableAt_negMulLog, UpperHalfPlane.contMDiffAt_iff, SmoothBumpFunction.tsupport_subset_extChartAt_source, UpperHalfPlane.instIsManifoldComplexModelWithCornersSelfTopWithTopENat, IsSelfAdjoint.adjoint_conj, setOf_riemmanianEDist_lt_subset_nhds', exists_embedding_euclidean_of_compact, Complex.differentiableAt_sinh, hasDerivAt_ofReal_cpow_const', Complex.hasDerivAt_Gamma_one_half, Function.Periodic.differentiable_qParam, Function.Periodic.contDiff_qParam, Real.analyticOn_arsinh, PeriodPair.differentiableOn_weierstrassPExcept, Complex.analyticOnNhd_iff_differentiableOn, Real.analyticWithinAt_sin, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, Complex.conjCLE_norm, Complex.differentiableAt_log, differentiableAt_completedZeta, ContinuousLinearMap.adjoint_inner_right, Complex.iteratedDeriv_add_one_cosh, hasFDerivAt_integral_of_dominated_of_fderiv_le'', MeasureTheory.L1.norm_Integral_le_one, PeriodPair.differentiableOn_weierstrassP, AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Complex.imCLM_enorm, IsMaxOn.lineDeriv_eq_zero, UpperHalfPlane.mdifferentiable_coe, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, SchwartzMap.le_seminorm', differentiable_norm_rpow, VectorFourier.norm_fourierSMulRight_le, Real.iteratedDeriv_odd_sin, PeriodPair.weierstrassPExceptSeries_hasSum, EisensteinSeries.eisSummand_extension_differentiableOn, Complex.ofRealCLM_enorm, ModularFormClass.analyticAt_cuspFunction_zero, Complex.deriv_sinh, Complex.HadamardThreeLines.diffContOnCl_invInterpStrip, Complex.deriv_sin, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, Unitization.norm_splitMul_snd_sq, ContDiffMapSupportedIn.bounded_iteratedFDeriv, Real.analyticOn_sinh, ordinaryHypergeometric_radius_top_of_neg_nat₁, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, Real.differentiableAt_sinh, Complex.hasDerivAt_tan, Real.differentiable_iteratedDeriv_sinh, Complex.analyticWithinAt_sin, conformalAt_iff_differentiableAt_or_differentiableAt_comp_conj, analyticAt_clog, ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, derivWithin_Ioi_eq_Ici, SmoothPartitionOfUnity.mem_fintsupport_iff, Emetric.exists_smooth_forall_closedBall_subset, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, Real.hasFDerivAt_fourierChar_neg_bilinear_right, ModularFormClass.differentiableOn_cuspFunction_ball, ZMod.differentiable_completedLFunction₀, ContDiffMapSupportedIn.continuous_iff_comp, UniformContinuous.exists_contDiff_dist_le, ModularFormClass.holo, VectorFourier.norm_fourierSMulRight, ContinuousLinearEquiv.coord_norm', differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, InnerProductSpace.laplacian_eq_iteratedDeriv_real, iteratedDeriv_cexp_const_mul, intervalIntegral.integral_hasStrictDerivAt_right, SchwartzMap.fourier_fderivCLM_eq, hasStrictFDerivAt_exp_smul_const, SchwartzMap.fourier_convolution_apply, Complex.hasStrictFDerivAt_log_real, Real.analyticWithinAt_arcosh, Complex.differentiableAt_Gamma, Real.iteratedDeriv_fourierIntegral, Real.hasStrictDerivAt_tan, intervalIntegral.integral_hasStrictDerivAt_left, HurwitzZeta.differentiableAt_cosZeta, ProbabilityTheory.deriv_cgf_zero, Complex.logDeriv_cos, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, Real.differentiable_fourierChar_neg_bilinear_left, fderiv_norm_smul_pos, gelfandTransform_isometry, Real.hasDerivAt_arctan, hasDerivAt_exp_smul_const', mellin_differentiableAt_of_isBigO_rpow, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, Complex.reCLM_norm, range_modelWithCornersEuclideanHalfSpace, Real.analyticWithinAt_arsinh, IsContDiffImplicitAt.implicitFunction_def, Real.iteratedDerivWithin_cosh_Ioo, ContDiffPointwiseHolderAt.iteratedFDeriv, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, nnnorm_tangentSpace_vectorSpace, ContDiffMapSupportedIn.structureMapCLM_zero_injective, HasFDerivWithinAt.curveIntegral_segment_source', SchwartzMap.lineDerivOp_apply, Real.deriv_arcsin_aux, Complex.differentiable_cosh, IsLocalMin.fderiv_eq_zero, IsLocalMin.lineDeriv_eq_zero, contDiff_norm_rpow, exists_contDiff_tsupport_subset, Real.differentiableAt_qaryEntropy, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, aemeasurable_derivWithin_Ici, Complex.differentiable_iteratedDeriv_cos, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, Real.differentiable_arsinh, SchwartzMap.smulLeftCLM_ofReal, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, fderiv_norm_rpow, intervalIntegral.integral_hasDerivAt_left, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, Complex.differentiable_cos, ContinuousLinearMap.norm_adjoint_comp_self, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, CircleIntegrable.out, LSeries_hasDerivAt, Real.analyticOnNhd_sinh, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, Real.hasDerivAt_fourierIntegral, UpperHalfPlane.mdifferentiableAt_iff, PeriodPair.analyticOnNhd_weierstrassPExcept, NormedSpace.polar_closedBall, Submodule.norm_orthogonalProjection, Complex.analyticAt_cos, HasGradientAt.hasDerivAt, Complex.analyticOnNhd_cos, hasDerivAt_exp_zero, deriv_circleMap_eq_zero_iff, SchwartzMap.smooth', ArithmeticFunction.iteratedDeriv_LSeries_alternating, Real.contDiff_exp, Matrix.cstar_norm_def, Real.differentiable_rpow_const, analyticWithinAt_cexp, Real.analyticWithinAt_cosh, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, IsRiemannianManifold.out, SmoothPartitionOfUnity.toPartitionOfUnity_toFun, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, Complex.iteratedDeriv_odd_cosh, HasGradientAt.fderiv_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, IsExtrFilter.lineDeriv_eq_zero, Complex.contDiff_sin, Complex.hasDerivAt_exp, Complex.contDiff_cos, intervalIntegral.derivWithin_integral_left, mfderiv_subtype_coe_Icc_one, Real.hasStrictFDerivAt_rpow_of_neg, intervalIntegral.deriv_integral_of_tendsto_ae_left, Real.hasStrictDerivAt_rpow_const, ContDiffPointwiseHolderAt.zero_exponent_iff, intervalIntegral.integral_hasFDerivAt, Meromorphic.Gamma, Complex.hasDerivAt_log_sub_logTaylor, intervalIntegral.fderiv_integral, eventually_norm_trivializationAt_lt, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, SmoothBumpFunction.nhdsWithin_range_basis, ProbabilityTheory.analyticOnNhd_complexMGF, Real.hasDerivAt_Gamma_nat, Diffeology.DSmooth.contDiff, gradient_eq_deriv, differentiableAt_abs, ModularForm.logDeriv_qParam, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, ProbabilityTheory.analyticAt_iteratedDeriv_mgf, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Real.logDeriv_cos, exists_smooth_zero_one_nhds_of_isClosed, Real.not_continuousAt_deriv_qaryEntropy_one, Complex.hasDerivAt_log, ModularFormClass.qExpansionFormalMultilinearSeries_coeff, Real.logDeriv_cosh, measurable_derivWithin_Ici, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, UpperHalfPlane.contMDiff_smul, Real.contDiffAt_arcsin, eqOn_iteratedDerivWithin_cotTerm_integerComplement, Matrix.l2_opNorm_def, Real.differentiableAt_sin, Complex.reCLM_enorm, UpperHalfPlane.contMDiff_denom, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, Real.hasDerivAt_sinh, Manifold.exists_lt_of_riemannianEDist_lt, norm_innerSL_le, VectorFourier.hasFDerivAt_fourierChar_smul, logDeriv_sineTerm_eq_cotTerm, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, ZMod.differentiable_LFunction_of_sum_zero, InformationTheory.not_differentiableAt_klFun_zero, Real.deriv_cosh, ProbabilityTheory.variance_tilted_mul, Real.exists_extension_norm_eq, ContDiffMapSupportedIn.structureMapLM_zero_apply, SchwartzMap.differentiableAt, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sin, SmoothBumpCovering.embeddingPiTangent_coe, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, SmoothPartitionOfUnity.nonneg', SchwartzMap.fourier_convolution, AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, ProbabilityTheory.analyticOn_iteratedDeriv_mgf, VectorFourier.integrable_fourierPowSMulRight, PeriodPair.analyticOnNhd_weierstrassP, expNegInvGlue.differentiable_polynomial_eval_inv_mul, Complex.differentiableAt_cos, UpperHalfPlane.mdifferentiable_denom_zpow, HasGradientWithinAt.hasFDerivWithinAt, hasFDerivAt_exp, MeromorphicOn.Gamma, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, Real.analyticOnNhd_arcosh, exists_contMDiffMap_one_nhds_of_subset_interior, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, Real.deriv_mul_log_zero, SmoothPartitionOfUnity.sum_le_one, HurwitzZeta.differentiable_completedHurwitzZetaEven₀, HurwitzZeta.differentiable_completedHurwitzZetaOdd, ContDiffPointwiseHolderAt.zero_order_iff, Real.hasDerivAt_sqrt, analyticOn_rexp, IccRightChart_extend_top, SchwartzMap.one_add_le_sup_seminorm_apply, taylor_within_apply, Real.hasDerivWithinAt_arccos_Iic, ContDiffBump.convolution_tendsto_right_of_continuous, measurableSet_of_differentiableWithinAt_Ici, eventually_norm_mfderiv_extChartAt_lt, Real.contDiffOn_arcsin, boundary_Icc, SchwartzMap.smooth, Real.contDiffAt_arccos_iff, deriv_sqrt_mul_log', summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexp, isMIntegralCurve_comp_mul_ne_zero, Real.differentiableAt_binEntropy_iff_ne_zero_one, SchwartzMap.integrable_pow_mul_iteratedFDeriv, Complex.deriv_exp, Real.fderiv_fourierChar_neg_bilinear_left_apply, Real.deriv_tan, DirichletCharacter.differentiable_LFunctionTrivChar₁, HasGradientAtFilter.hasDerivAtFilter, TestFunctionClass.map_contDiff, Real.differentiable_fourier, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, UpperHalfPlane.mdifferentiable_iff, hasStrictDerivAt_exp_zero, Submodule.orthogonalProjection_norm_le, Function.HasTemperateGrowth.isBigO_uniform, exists_contMDiffMap_forall_mem_convex_of_local_const, Complex.analyticAt_iff_eventually_differentiableAt, Real.contDiffAt_rpow_of_ne, Real.hasStrictDerivAt_exp, HurwitzZeta.differentiable_completedSinZeta, HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEven, InformationTheory.deriv_klFun, one_add_rpow_hasFPowerSeriesOnBall_zero, boundary_product, MeasureTheory.norm_condExpL2_le_one, differentiable_sigmoid, Complex.analyticOnNhd_sinh, Complex.analyticWithinAt_cos, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, InnerProductSpace.symm_toEuclideanLin_rankOne, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousLinearMap.adjoint_innerSL_apply, LSeries.hasDerivAt_term, UpperHalfPlane.mdifferentiableAt_ofComplex, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, ContDiffMapSupportedIn.structureMapLM_apply, binomialSeries_radius_ge_one, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, ContDiffBump.contDiffWithinAt, Real.fourier_smul_convolution_eq, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, WeakFEPair.differentiable_Λ₀, curveIntegralFun_def, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, Real.deriv_fourier, contDiff_sigmoid, setOf_riemannianEDist_lt_subset_nhds', MeasureTheory.integral_convolution, contDiff_euclidean, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, DirichletCharacter.continuousOn_neg_logDeriv_LFunctionTrivChar₁, DirichletCharacter.differentiable_completedLFunction, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, HurwitzZeta.differentiableAt_expZeta, fderiv_norm_sq, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Function.HasTemperateGrowth.isBigO, Complex.logDeriv_cosh, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, ContinuousLinearMap.innerSL_apply_comp, conformalAt_iff', Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, hasDerivAt_abs_pos, ContDiffMapSupportedIn.structureMapLM_eq, CStarMatrix.norm_def, eventually_riemannianEDist_lt, IsMIntegralCurveAt.eventually_hasDerivAt, hasFDerivAt_stereoInvFunAux_comp_coe, HurwitzZeta.differentiableAt_sinZeta, LipschitzWith.integral_lineDeriv_mul_eq, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, ContinuousLinearMap.adjoint_adjoint, Real.iteratedDerivWithin_sin_Ioo, instIsManifoldIcc, IsContDiffImplicitAt.implicitFunctionData_leftFun_pt, TemperedDistribution.smulLeftCLM_apply_apply, SmoothBumpCovering.toSmoothPartitionOfUnity_zero_of_zero, contDiffAt_abs, deriv2_sqrt_mul_log, SmoothPartitionOfUnity.contMDiff_sum, Real.hasStrictDerivAt_log_of_pos, contMDiffOn_projIcc, differentiableAt_jacobiTheta, ContinuousLinearMap.orthogonal_ker, Metric.exists_contMDiffMap_forall_closedEBall_subset, differentiableAt_iteratedDerivWithin_cexp, contMDiff_circleExp, SmoothBumpFunction.image_eq_inter_preimage_of_subset_support, Real.deriv2_negMulLog, InnerProductSpace.norm_rankOne, Complex.hasDerivAt_Gamma_nat, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, norm_jacobiTheta₂_term_fderiv_le, SmoothBumpFunction.closedBall_subset, intervalIntegral.differentiableOn_integral_of_continuous, differentiable_circleMap, UpperHalfPlane.mdifferentiable_smul, SmoothBumpFunction.isCompact_symm_image_closedBall, Real.smoothTransition.contDiff, Unitization.cfcₙ_eq_cfc_inr, HurwitzZeta.differentiable_completedCosZeta₀, Real.differentiableAt_negMulLog_iff, Complex.differentiable_iteratedDeriv_cosh, analyticAt_cexp, IsLocalMinOn.fderivWithin_eq_zero, Real.deriv2_mul_log, ProbabilityTheory.analyticOnNhd_iteratedDeriv_mgf, SmoothBumpFunction.ball_inter_range_eq_ball_inter_target, Real.hasDerivAt_negMulLog, Diffeology.dSmooth_iff_contDiff, PeriodPair.differentiableOn_derivWeierstrassPExcept, hasStrictFDerivAt_euclidean, aemeasurable_derivWithin_Ioi
toNormedField 📖	CompOp	1760 math math: Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, instSeparatingDual, TensorProduct.mapInclIsometry_apply, ContinuousLinearMap.rayleigh_smul, InnerProductSpace.Core.inner_smul_right, RCLike.conj_re, Submodule.starProjection_apply_eq_isComplProjection, WithLp.prod_inner_apply, RCLike.sqrt_eq_ite, ContinuousAt.inner, Orthonormal.linearIndependent, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, SchwartzMap.lineDerivOpCLM_eq, MeasureTheory.lpNorm_conj, AddChar.card_addChar_le, TensorProduct.enorm_lid, InnerProductSpace.Core.inner_add_left, Matrix.frobenius_nnnorm_mul, RCLike.pos_iff_exists_ofReal, TensorProduct.inner_tmul, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, RCLike.one_re, continuousOn_stereoToFun, InnerProductSpace.isPositive_rankOne_self, MeasureTheory.condExpL1_smul, Orthonormal.inner_left_finsupp, norm_cfcₙHom, RCLike.map_apply, OrthonormalBasis.orthogonalProjection_eq_sum, LinearMap.IsSymmetric.inner_map_polarization, RCLike.geometric_hahn_banach_point_open, ContinuousLinearMap.integral_compLp, tendsto_birkhoffAverage_apply_sub_birkhoffAverage', LinearMap.adjoint_adjoint, Affine.Simplex.orthogonalProjectionSpan_map, TensorProduct.ext_iff_inner_left, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, InnerProductSpace.toLinearIsometry_toDual, RCLike.ofRealCLM_apply, RCLike.normSq_to_real, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, IsSelfAdjoint.commute_cfcHom, InnerProductSpace.span_gramSchmidtNormed, cfcₙ_norm_nonneg, hasFDerivAt_iff_hasGradientAt, RCLike.reCLM_apply, cfcₙHom_apply_mem_elemental, IsHilbertSum.surjective_isometry, curveIntegral_smul, RCLike.div_re_ofReal, ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric, Submodule.reflection_trans_reflection, inner_vsub_right_eq_zero_symm, RCLike.separate_convex_open_set, Submodule.orthogonalDecomposition_symm_apply, OrthogonalFamily.linearIsometry_apply_single, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, InnerProductSpace.rankOne_one_left_eq_innerSL, Submodule.IsOrtho.starProjection_comp_starProjection, LinearMap.IsSymmetric.restrictScalars, ClosedSubmodule.toSubmodule_orthogonal_eq, ContinuousLinearMap.sSup_unit_ball_eq_norm, Convex.convex_isRCLikeNormedField, EuclideanSpace.orthonormal_single, Matrix.posSemidef_iff_eq_conjTranspose_mul_self, RCLike.ofRealLI_apply, LinearMap.IsPositive.ne_zero_iff, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, curveIntegrable_segment, LinearMap.isPositive_adjoint_comp_self, Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, OrthonormalBasis.repr_injective, LinearMap.IsSymmetric.isFinitelySemisimple, RCLike.re_add_im, InnerProductSpace.Core.inner_mul_inner_self_le, ContinuousLinearMap.IsPositive.inner_left_eq_inner_right, Matrix.spectrum_toEuclideanLin, MeasureTheory.norm_condExpL2_le, InnerProductSpace.isIdempotentElem_rankOne_self, Matrix.cstar_nnnorm_def, lp.inner_eq_tsum, ContinuousLinearMap.continuous_integral_comp_L1, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, ContDiff.hasStrictFDerivAt, RCLike.star_def, OrthonormalBasis.sum_inner_mul_inner, Matrix.l2_opNorm_mulVec, Submodule.re_inner_starProjection_eq_normSq, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, inner_self_eq_one_of_norm_eq_one, MeasureTheory.inner_condExpL2_left_eq_right, RCLike.algebraMap_eq_ofReal, Submodule.reflection_orthogonal_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', MeasureTheory.MemLp.const_inner, MeasureTheory.integral_fintype_prod_volume_eq_pow, LinearMap.IsSymmetric.diagonalization_apply_self_apply, EuclideanGeometry.orthogonalProjection_congr, LinearMap.IsPositive.re_inner_nonneg_right, flip_innerSL_real, Matrix.le_iff, Orientation.volumeForm_robust_neg, Submodule.starProjection_orthogonal', RCLike.norm_I_of_ne_zero, LinearMap.IsSymmetric.im_inner_self_apply, ContinuousLinearMap.IsPositive.toLinearMap, Submodule.toLinearEquiv_orthogonalDecomposition, RCLike.sub_conj, OrthonormalBasis.toBasis_tensorProduct, RCLike.re_sqrt_ofReal, TensorProduct.congrIsometry_refl_refl, norm_smul_inv_norm', MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, RCLike.pos_iff, MeasureTheory.isTightMeasureSet_iff_inner_tendsto, AddChar.wInner_cWeight_self, TensorProduct.enorm_comm, innerSL_apply_apply, Submodule.isOrtho_sup_right, HasGradientAt.continuousOn, CFC.abs_eq_cfcₙ_coe_norm, LinearIsometry.rTensor_def, LinearMap.adjoint_innerₛₗ_apply, inner_sum, EuclideanSpace.inner_single_left, EuclideanSpace.basisFun_toBasis, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, inner_eq_norm_mul_iff, RCLike.map_same_eq_id, LinearMap.adjoint_eq_toCLM_adjoint, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, Submodule.orthogonalProjection_mem_subspace_eq_self, EuclideanSpace.norm_sq_eq, ContinuousLinearMap.IsPositive.inner_nonneg_right, RCLike.wInner_sub_right, GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpace, InnerProductSpace.span_gramSchmidtNormed_range, Submodule.orthogonal_disjoint, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, Submodule.starProjection_add_starProjection_orthogonal, Matrix.spectrum_toLpLin, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, InnerProductSpace.Core.inner_smul_left, ContinuousMap.setOfIdeal_ofSet_eq_interior, InnerProductSpace.toDual_symm_apply, MeasureTheory.integral_fintype_prod_eq_prod, IsHilbertSum.linearIsometryEquiv_symm_apply, Submodule.starProjection_singleton, RCLike.conj_nat_cast, EuclideanSpace.basisFun_apply, EuclideanGeometry.reflection_symm, Submodule.isOrtho_iff_inner_eq, EuclideanGeometry.orthogonalProjection_contLinear, curveIntegralFun_smul, ClosedSubmodule.mem_orthogonal', RCLike.ofReal_re, MeasureTheory.charFun_toDual_symm_eq_charFunDual, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, OrthogonalFamily.orthonormal_sigma_orthonormal, RCLike.re_add_im_ax, PreInnerProductSpace.Core.smul_left, Differentiable.fderiv_norm_rpow, RCLike.normSq_neg, curveIntegrable_fun_neg_iff, RCLike.toStarOrderedRing, Submodule.reflection_symm, MeasureTheory.integral_const_mul, OrthonormalBasis.det_eq_neg_det_of_opposite_orientation, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, TensorProduct.ext_iff_inner_right_threefold', CurveIntegrable.zero, RCLike.is_real_TFAE, OrthonormalBasis.det_to_matrix_orthonormalBasis_of_opposite_orientation, curveIntegrable_smul_iff, TensorProduct.toLinearEquiv_lidIsometry, OrthonormalBasis.toBasis_singleton, ContDiffOn.inner, EuclideanGeometry.reflection_map, ContinuousLinearMap.adjoint_id, InnerProductSpace.smul_left, ClosedSubmodule.inf_orthogonal, ContinuousLinearMap.isPositive_natCast, tendsto_birkhoffAverage_apply_sub_birkhoffAverage, RCLike.abs_im_div_norm_le_one, norm_sub_mul_self, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Submodule.starProjection_comp_starProjection_eq_zero_iff, SchwartzMap.laplacianCLM_eq, LinearIsometryEquiv.conjStarAlgEquiv_apply, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.integral_div, Filter.tendsto_ofReal_iff', inner_smul_left_eq_star_smul, RCLike.mul_conj, RCLike.norm_conj, RCLike.borelSpace, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, LinearMap.IsSymmetricProjection.ext_iff, ConvexOn.univ_sSup_of_countable_affine_eq, RCLike.hasSum_ofReal, InnerProductSpace.inner_left_rankOne_apply, RCLike.continuous_normSq, ClosedSubmodule.orthogonal_injective, SchwartzMap.fderivCLM_apply, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.norm_extendTo𝕜, HasFDerivAt.norm_sq, LinearIsometry.map_starProjection', RCLike.ofNat_re, polynomialFunctions.starClosure_topologicalClosure, innerₛₗ_apply_apply, OrthonormalBasis.repr_self, RCLike.ofReal_balance, Submodule.symmetric_isOrtho, OrthogonalFamily.norm_sq_diff_sum, norm_smul_inv_norm, ContinuousLinearMap.eq_adjoint_iff, MeasureTheory.L2.inner_def, RCLike.nonpos_iff, RCLike.smul_re, RCLike.nonpos_iff_exists_ofReal, RCLike.wInner_of_isEmpty, LinearMap.IsSymmetric.directSum_decompose_apply, InnerProductSpace.rankOne_apply, EuclideanSpace.nndist_eq, Unitary.coe_linearIsometryEquiv_apply, OrthonormalBasis.toBasis_adjustToOrientation, Submodule.reflection_singleton_apply, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, intervalIntegral.integral_div, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, isClosed_setOf_tendsto_birkhoffAverage, NormedField.exists_lt_nnnorm_lt, OrthonormalBasis.measurePreserving_repr, Submodule.reflection_apply, RCLike.ofReal_comp_balance, RCLike.abs_re_le_norm, curveIntegralFun_segment, RCLike.reCLM_norm, RCLike.geometric_hahn_banach_closed_point, MeasureTheory.AEStronglyMeasurable.inner_const, Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, curveIntegral_neg, AEMeasurable.im, HasGradientAt.continuousAt, LinearIsometryEquiv.lTensor_apply, InnerProductSpace.gramSchmidt_def, ContinuousLinearMap.isPositive_self_comp_adjoint, RCLike.ofReal_sub, LinearMap.adjoint_toContinuousLinearMap, Affine.Simplex.orthogonalProjectionSpan_eq_point, Unitary.linearIsometryEquiv_coe_apply, RCLike.norm_sq_eq_def_ax, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, ContinuousLinearMap.toSesqForm_apply_coe, LinearIsometryEquiv.adjoint_eq_symm, TensorProduct.mapIsometry_id_id, ordinaryHypergeometricSeries_radius_eq_one, MeasureTheory.setIntegral_prod_mul, Matrix.toEuclideanLin_apply, inner_self_eq_norm_sq_to_K, IsContDiffImplicitAt.hasFDerivAt, Submodule.IsOrtho.orthogonalProjection_comp_subtypeL, LinearMap.IsPositive.isPositive_smul_iff, ContinuousLinearMap.sSup_sphere_eq_nnnorm, RCLike.intCast_re, LinearIsometryEquiv.trans_smul, MeasureTheory.charFunDual_eq_charFun_map_one, EuclideanGeometry.orthogonalProjection_map, RCLike.im_eq_zero_iff_isSelfAdjoint, IsHilbertSum.hasSum_linearIsometryEquiv_symm, Submodule.IsOrtho.map_iff, MeasureTheory.integral_fintype_prod_eq_pow, RCLike.norm_ofReal, inner_mul_inner_self_le, InnerProductSpace.Core.inner_smul_ofReal_right, RCLike.conjCLE_apply, EuclideanSpace.norm_single, RCLike.mul_im_ax, Orthonormal.inner_left_fintype, InnerProductSpace.Core.norm_eq_sqrt_re_inner, RCLike.wInner_cWeight_eq_expect, Submodule.coe_orthogonalDecomposition_symm, MeasureTheory.aestronglyMeasurable_condExpL2, RCLike.I_mul_I, Submodule.orthogonalProjection_bot, ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, RCLike.abs_re_div_norm_le_one, Submodule.range_starProjection, norm_sub_sq, RCLike.toIsStrictOrderedRing, LinearIsometryEquiv.inner_map_eq_flip, EuclideanGeometry.angle_orthogonalProjection_self, binomialSeries_radius_eq_one, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, LinearMap.toMatrixOrthonormal_apply_apply, RCLike.I_re_ax, MeasureTheory.charFun_apply_real, RCLike.instCStarRing, Submodule.exists_add_mem_mem_orthogonal, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, HasGradientWithinAt.continuousWithinAt, InnerProductSpace.Core.inner_neg_left, LinearMap.IsSymmetric.coe_re_inner_self_apply, AddChar.wInner_cWeight_eq_zero_iff_ne, hasStrictDerivAt_exp_smul_const, RCLike.ofReal_nonneg, ContinuousMap.setOfIdeal_ofSet_of_isOpen, EuclideanGeometry.dist_orthogonalProjection_eq_iff_angle_eq, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, Module.Basis.mulOpposite_is_orthonormal_iff, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, Finsupp.sum_inner, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, MeasureTheory.condExpL2_indicator_ae_eq_smul, ClosedSubmodule.orthogonal_closure'', contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', Real.fourier_iteratedFDeriv, re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, InnerProductSpace.toDualMap_apply_apply, Submodule.le_orthogonal_orthogonal, LinearMap.eq_adjoint_iff_basis_left, LinearMap.IsSymmetricProjection.isIdempotentElem, EuclideanSpace.volume_closedBall_fin_three, re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, LinearMap.extendTo𝕜'_apply, curveIntegral_fun_smul, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, Submodule.instHasOrthogonalProjectionOfCompleteSpace, MeasureTheory.MemLp.inner_const, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, curveIntegral_fun_zero, LinearMap.nonneg_iff_isPositive, coe_innerSL_apply, inner_eq_zero_of_right, LinearMap.IsSymmetric.inner_map_self_eq_zero, OrthonormalBasis.prod_apply, inner_re_zero_right, MeasureTheory.integral_condExpL2_eq, integral_smul_const, range_cfcₙHom, NormedField.denselyOrdered_range_norm, RCLike.toPosMulReflectLT, TensorProduct.lidIsometry_apply, MeasureTheory.StronglyMeasurable.inner, Orientation.volumeForm_def, EuclideanSpace.dist_single_same, LinearMap.IsPositive.inner_nonneg_left, hasGradientAtFilter_iff_isLittleO, ContinuousLinearMap.instCStarRingId, NormedSpace.eq_zero_iff_forall_dual_eq_zero, hasGradientAt_iff_isLittleO, MeasureTheory.setIntegral_condExpL2_indicator, InnerProductSpace.nnnorm_rankOne, PreInnerProductSpace.Core.conj_inner_symm, stereographic_apply_neg, OrthonormalBasis.orthogonalProjection_apply_eq_sum, InnerProductSpace.Core.norm_inner_symm, HasGradientWithinAt.differentiableWithinAt, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, Matrix.gram_zero, InnerProductSpace.isSymmetricProjection_rankOne_self, ProbabilityTheory.complexMGF_mul_I, RCLike.norm_ofNat, hasGradientWithinAt_iff_hasFDerivWithinAt, norm_inner_eq_norm_iff, RCLike.re_monotone, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, RCLike.im_ofReal_pow, LinearIsometryEquiv.smul_apply, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, FiniteDimensional.RCLike.properSpace_submodule, range_stereographic_symm, FiniteDimensional.rclike_to_real, WeakDual.CharacterSpace.continuousMapEval_bijective, PiLp.volume_preserving_toLp, LowerSemicontinuousOn.isClosed_re_epigraph, EuclideanGeometry.orthogonalProjection_apply', isOpenEmbedding_stereographic_symm, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, Polynomial.ofReal_eval, RCLike.wInner_neg_right, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, inner_self_im, NormedField.denseRange_nnnorm, RCLike.ofReal_natCast, Matrix.PosSemidef.posSemidef_sqrt, unitary.linearIsometryEquiv_coe_symm_apply, ContinuousLinearMap.isPositive_def, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, SchwartzMap.toBoundedContinuousFunctionCLM_apply, RCLike.conj_ofReal, curveIntegral_segment, OrthonormalBasis.coe_ofRepr, Submodule.starProjection_top', EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, OrthonormalBasis.toBasis_mulOpposite, Submodule.adjoint_subtypeL, hasStrictFDerivAt_exp, inner_re_zero_left, IsCoercive.range_eq_top, EuclideanSpace.nnnorm_single, LinearMap.isSymmetric_adjoint_mul_self, InnerProductSpace.Core.cauchy_schwarz_aux, inner_self_ofReal_re, RCLike.conjLIE_apply, Submodule.reflection_orthogonalComplement_singleton_eq_neg, RCLike.summable_ofReal, Complex.orthonormalBasisOneI_repr_apply, RCLike.conj_mul, Affine.Triangle.dist_circumcenter_reflection_orthocenter, MeasureTheory.norm_condExpL2_coe_le, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, InnerProductSpace.trace_rankOne, RCLike.imLm_coe, NormedSpace.eq_iff_forall_dual_eq, ContinuousLinearEquiv.integral_comp_comm, Submodule.isIdempotentElem_starProjection, RCLike.div_im, hasFDerivAt_norm_rpow, dist_birkhoffAverage_apply_birkhoffAverage, LinearIsometry.inner_map_map, Matrix.eigenvalues_conjTranspose_mul_self_nonneg, sum_inner, RCLike.ofReal_mul, RCLike.im_to_real, RCLike.instContinuousMapUniqueHom, ContinuousLinearMap.IsPositive.conj_adjoint, Matrix.toEuclideanCLM_toLp, WeakDual.CharacterSpace.homeoEval_naturality, InnerProductSpace.Core.inner_neg_right, ContinuousLinearMap.isPositive_id, RCLike.conjCLE_coe, contDiffOn_stereoToFun, RCLike.ext_iff, Unitary.coe_symm_linearIsometryEquiv_apply, hasStrictFDerivAt_exp_smul_const', range_cfcₙ, LinearMap.adjoint_rTensor, hasGradientAt_iff_isLittleO_nhds_zero, RCLike.normSq_inv, LinearMap.IsPositive.add, HilbertBasis.hasSum_orthogonalProjection, LinearMap.adjoint_inner_right, MeasureTheory.mem_lpMeas_indicatorConstLp, InnerProductSpace.adjoint_rankOne, stereoInvFun_apply, InnerProductSpace.rankOne_eq_zero, RCLike.mul_wInner_left, TensorProduct.ext_iff_inner_left_threefold', Convex.toWeakSpace_closure, Submodule.isOrtho_sSup_right, LinearIsometry.lTensor_apply, ClosedSubmodule.bot_orthogonal_eq_top, Submodule.norm_sq_eq_add_norm_sq_starProjection, RCLike.re_eq_norm_of_mul_conj, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, innerSL_inj, MeasureTheory.condExpIndSMul_smul, TensorProduct.ext_iff_inner_left_threefold, MeasureTheory.lintegral_nnnorm_condExpL2_le, RCLike.conj_eq_iff_re, StrongDual.toLp_of_not_memLp, AffineSubspace.signedInfDist_eq_signedDist_of_mem, LinearMap.IsSymmetric.coe_toSelfAdjoint, TensorProduct.inner_lid_lid, EuclideanSpace.volume_closedBall_fin_two, OrthonormalBasis.toBasis_map, Matrix.piLp_ofLp_toEuclideanLin, LinearMap.IsSymmetric.diagonalization_symm_apply, maximal_orthonormal_iff_basis_of_finiteDimensional, TensorProduct.norm_comm, RCLike.rank_le_two, curveIntegral_segment_const, RCLike.instMulPosReflectLE, ContinuousLinearMap.isPositive_toLinearMap_iff, Affine.Simplex.signedInfDist_apply_self, ConvexOn.sSup_of_countable_affine_eq, RCLike.reCLM_coe, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, RCLike.ofNat_mul_re, OrthonormalBasis.tensorProduct_repr_tmul_apply', HasDerivWithinAt.inner, DifferentiableAt.inner, NormedSpace.exp_continuousMap_eq, MeasureTheory.hasFDerivAt_convolution_right_with_param, InnerProductSpace.Core.inner_im_symm, OrthonormalBasis.sum_sq_norm_inner_right, LinearIsometryEquiv.reflections_generate, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, Submodule.map_orthogonal_equiv, RCLike.isUniformEmbedding_ofReal, Matrix.l2_opNNNorm_mulVec, Orthonormal.inner_left_right_finset, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ClosedSubmodule.top_orthogonal_eq_bot, EuclideanGeometry.reflection_reflection, Submodule.norm_orthogonalProjection_apply_le, Finsupp.inner_sum, RCLike.conj_I_ax, RCLike.nnnorm_nnratCast, HasFDerivWithinAt.inner, TensorProduct.norm_assoc, TensorProduct.nnnorm_tmul, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, RCLike.I_eq_zero_or_im_I_eq_one, InnerProductSpace.toDualMap_apply, RCLike.normSq_nonneg, Orthonormal.inner_products_summable, InnerProductSpace.gramSchmidt_orthogonal, ContinuousLinearMap.adjoint_inner_left, TensorProduct.inner_mapIncl_mapIncl, InnerProductSpace.gramSchmidt_pairwise_orthogonal, RCLike.le_iff_re_im, InnerProductSpace.AlgebraOfCoalgebra.mul_def, Matrix.l2_opNorm_diagonal, LinearMap.extendTo𝕜_apply, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, Affine.Simplex.mongePlane_def, ProbabilityTheory.complexMGF_id_mul_I, inner_neg_right, ContinuousLinearMap.IsPositive.isSymmetric, OrthonormalBasis.singleton_apply, OrthonormalBasis.equiv_apply, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, RCLike.sqrt_one, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, LinearIsometryEquiv.conjStarAlgEquiv_trans, LinearMap.IsSymmetric.continuous, ContinuousMap.ideal_isMaximal_iff, integral_conj, LinearIsometry.extend_apply, InnerProductSpace.rank_rankOne, LinearMap.isSymmetric_sum, Submodule.isOrtho_top_left, IsometricContinuousFunctionalCalculus.toNonUnital, InnerProductSpace.toDual_apply_apply, RCLike.exists_norm_eq_mul_self, Affine.Simplex.vectorSpan_isOrtho_altitude_direction, ContinuousLinearMap.adjointAux_apply, ContinuousLinearMap.nonneg_iff_isPositive, RCLike.real_smul_eq_coe_smul, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, RCLike.measurable_re, Submodule.linearEquiv_det_reflection, LinearMap.isSymmetric_linearIsometryEquiv_conj_iff, ProperCone.innerDual_singleton, real_inner_eq_re_inner, RCLike.nnnorm_ofNat, RCLike.add_conj, Submodule.IsOrtho.map, EuclideanGeometry.reflection_eq_self_iff, RCLike.ofReal_re_ax, differentiable_inner, InnerProductSpace.Core.inner_self_eq_norm_mul_norm, CFC.exp_eq_normedSpace_exp, RCLike.im_eq_conj_sub, Submodule.toLinearMap_starProjection_eq_isComplProjection, InnerProductSpace.rankOne_def, TensorProduct.nnnorm_map, InnerProductSpace.Core.inner_self_eq_zero, RCLike.conj_im_ax, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, Submodule.sub_starProjection_mem_orthogonal, inner_self_conj, dist_birkhoffAverage_birkhoffAverage, LinearIsometryEquiv.conjStarAlgEquiv_ext_iff, OrthonormalBasis.repr_apply_apply, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, Matrix.l2_opNNNorm_conjTranspose, RCLike.ofReal_add, ClosedSubmodule.orthogonal_eq_inter, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, SchwartzMap.compCLMOfAntilipschitz_apply, SchwartzMap.fourierInv_apply_eq, LinearIsometryEquiv.conjStarAlgEquiv_refl, CurveIntegrable.fun_zero, MeasureTheory.L2.inner_indicatorConstLp_one, RCLike.ofReal_neg, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, LinearMap.IsSymmetric.toSelfAdjoint_apply, RCLike.conj_div, EuclideanSpace.edist_single_same, EuclideanGeometry.orthogonalProjection_subtype, RCLike.ofReal_zpow, RCLike.im_mul_ofReal, Submodule.coe_orthogonalDecomposition, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, Submodule.finrank_orthogonal_span_singleton, Matrix.nonneg_iff_posSemidef, RCLike.summable_conj, RCLike.geometric_hahn_banach_point_point, RCLike.wInner_zero_right, LinearMap.isPositive_natCast, inner_smul_real_right, TensorProduct.toLinearEquiv_congrIsometry, hasFDerivAt_exp_smul_const', Submodule.isOrtho_iSup_left, IsCoercive.bounded_below, Commute.cfcₙHom, Submodule.mem_orthogonal', LinearMap.toMatrixOrthonormal_symm_apply, ContinuousLinearMap.IsStarNormal.orthogonal_range, Matrix.posDef_gram_iff_linearIndependent, RCLike.wInner_sub_left, LinearMap.toMatrix_innerₛₗ_apply, Matrix.permMatrix_l2_opNorm_le, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, TensorProduct.toLinearEquiv_commIsometry, RCLike.wInner_one_eq_inner, IsRCLikeNormedField.out, Matrix.eigenvalues_self_mul_conjTranspose_nonneg, Submodule.norm_sq_eq_add_norm_sq_projection, LinearMap.extendTo𝕜'_apply_re, inner_zero_left, RCLike.re_to_real, Submodule.orthogonal_gc, RCLike.neg_iff, curveIntegral_restrictScalars, Submodule.starProjection_isSymmetric, RCLike.sqrt_eq_real_add_ite, Submodule.starProjection_apply, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', RCLike.inv_im, Matrix.l2_opNorm_conjTranspose, ContinuousLinearMap.rayleighQuotient_add, Matrix.instNonnegSpectrumClass, LinearMap.isSelfAdjoint_iff', RCLike.ofReal_prod, contDiffAt_euclidean, innerSLFlip_apply_apply, RCLike.ofReal_mul_pos_iff, Affine.Triangle.dist_orthocenter_reflection_circumcenter, OrthogonalFamily.hasSum_linearIsometry, RCLike.ofReal_finsupp_sum, finrank_euclideanSpace, EuclideanGeometry.oangle_orthogonalProjection_self, LinearMap.IsPositive.isSelfAdjoint, InnerProductSpaceable.inner_.norm_sq, Submodule.top_orthogonal_eq_bot, ConvexOn.sSup_of_nat_affine_eq, Submodule.fst_orthogonalDecomposition_apply, HilbertBasis.dense_span, inner_add_left, Submodule.orthogonal_orthogonal_eq_closure, Submodule.smul_starProjection_singleton, RCLike.one_im, RCLike.toZeroLEOneClass, with_gaugeSeminormFamily, TensorProduct.ext_iff_inner_right, RCLike.natCast_re, LinearEquiv.isPositive_symm_iff, InnerProductSpace.enorm_rankOne, InnerProductSpace.Core.inner_self_nonneg, Orthonormal.inner_finsupp_eq_sum_right, RCLike.ofReal_finsuppProd, InnerProductSpace.continuousLinearMapOfBilin_zero, inner_re_symm, ContinuousLinearMap.toLinearMap_innerSL_apply, Submodule.orthogonalFamily_self, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, LinearMap.IsSymmetric.adjoint_eq, LinearMap.isPositive_sum, Submodule.starProjection_norm_le, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, RCLike.norm_le_re_iff_eq_norm, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, PiLp.volume_preserving_ofLp, Real.fourier_fderiv, MeasureTheory.AEStronglyMeasurable.inner, Submodule.inner_orthogonalProjection_eq_of_mem_right, Submodule.reflection_reflection, ContinuousMap.adjoin_id_eq_span_one_union, SchwartzMap.instLineDerivSMul, Submodule.isOrtho_iff_le, MeasureTheory.condExp_smul, HasFDerivWithinAt.norm_sq, CFC.abs_algebraMap, ordinaryHypergeometric_radius_top_of_neg_nat₂, ClosedSubmodule.iInf_orthogonal, Matrix.isHermitian_gram, integral_inner, RCLike.ofReal_im, LinearMap.IsSymmetric.isSymmetric_smul_iff, Matrix.isStrictlyPositive_iff_posDef, LinearMap.isPositive_linearIsometryEquiv_conj_iff, OrthonormalBasis.equiv_self_rfl, RCLike.abs_im_le_norm, RCLike.finrank_le_two, InnerProductSpace.coe_gramSchmidtBasis, MeasureTheory.integral_charFun_Icc, Submodule.reflection_inv, RCLike.toCompleteSpace, RCLike.nonneg_iff, Affine.Simplex.orthogonalProjection_circumcenter, RCLike.ofReal_zero, Matrix.ofLp_toEuclideanCLM, summable_pow_div_add, Submodule.norm_starProjection, ClosedSubmodule.sup_orthogonal, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', hasDerivAt_exp_smul_const, RCLike.continuous_re, Unitary.linearIsometryEquiv_coe_symm_apply, exists_dual_vector, ContinuousLinearMap.rayleighQuotient_le_norm, OrthonormalBasis.det_to_matrix_orthonormalBasis, RCLike.instContinuousStar, LinearMap.isPositive_toContinuousLinearMap_iff, OrthogonalFamily.summable_of_lp, AddChar.wInner_cWeight_eq_one_iff_eq, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter, norm_inner_eq_norm_tfae, curveIntegral_fun_add, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, Submodule.reflection_mul_reflection, curveIntegral_fun_neg, RCLike.zero_re, RCLike.inner_tmul_eq, Matrix.instFiniteElemRealSpectrum, InnerProductSpace.Core.inner_re_symm, InnerProductSpace.gramSchmidt_triangular, Submodule.starProjection_map_apply, RCLike.smul_im, LinearMap.star_eq_adjoint, Matrix.l2_opNNNorm_mul, RCLike.tendsto_ofReal_cobounded_cobounded, differentiableWithinAt_euclidean, InnerProductSpace.Core.toNormedSpaceCore, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', MeasureTheory.integral_prod_mul, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_exists_dist_eq, ContinuousLinearMap.sSup_sphere_eq_norm, LinearPMap.adjointDomainMkCLM_apply, Matrix.isPositive_toEuclideanLin_iff, TensorProduct.enorm_tmul, Polynomial.aeval_conj, Submodule.starProjection_bot, RCLike.re_eq_add_conj, ContDiff.inner, HasGradientAt.differentiableAt, ContDiffAt.hasStrictFDerivAt, Submodule.orthogonal_closure, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, TensorProduct.inner_assoc_assoc, InnerProductSpace.Core.norm_inner_le_norm, ContinuousLinearMap.reApplyInnerSelf_apply, Affine.Simplex.direction_mongePlane, RCLike.wInner_const_left, RCLike.wInner_cWeight_const_left, LinearMap.le_def, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, EuclideanSpace.toLp_single, inner_self_eq_norm_mul_norm, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, LinearMap.adjoint_toSpanSingleton, OrthonormalBasis.coe_toBasis, Submodule.reflection_sub, RCLike.inner_apply, LinearMap.IsSymmetric.natCast, ClosedSubmodule.mem_orthogonal, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', LinearMap.re_inner_adjoint_mul_self_nonneg, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, MeasureTheory.Integrable.re_im_iff, RCLike.normSq_mul, LinearMap.isPositive_self_comp_adjoint, RCLike.hasSum_conj, circleIntegral.integral_smul, orthonormal_subtype_iff_ite, ContinuousLinearMap.instStarModuleId, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, exists_dual_vector'', RCLike.norm_wInner_le, LinearIsometryEquiv.toLinearEquiv_smul, curveIntegralFun_neg, binomialSeries_radius_eq_top_of_nat, Matrix.l2_opNNNorm_def, HasGradientAtFilter.isBigO_sub, ContinuousLinearMap.adjointAux_adjointAux, Measurable.im, Submodule.coe_inner, hasDerivAt_exp, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, RCLike.norm_im_le_norm, UniformSpace.Completion.Continuous.inner, MeasureTheory.condExpL2_indicator_of_measurable, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, inner_zero_right, LinearMap.eq_adjoint_iff, inner_self_eq_zero, MeasureTheory.AEStronglyMeasurable.const_inner, Orthonormal.inner_right_finsupp, ConvexOn.convex_re_epigraph, LinearMap.norm_extendTo𝕜'_apply_sq, OrthonormalBasis.tensorProduct_apply', EuclideanSpace.basisFun_repr, ContinuousLinearMap.integral_comp_id_comm', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, OrthonormalBasis.sum_sq_norm_inner_left, LinearMap.isPositive_iff_complex, inner_self_eq_norm_sq, ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, OrthonormalBasis.equiv_apply_euclideanSpace, RCLike.continuous_ofReal, RCLike.exists_norm_mul_eq_self, stereographic_neg_apply, isSelfAdjoint_starProjection, InnerProductSpace.gramSchmidt_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, RCLike.lipschitzWith_re, Measurable.re, RCLike.ofReal_pow, OrthonormalBasis.det_adjustToOrientation, InnerProductSpace.Core.inner_smul_ofReal_left, Complex.orthonormalBasisOneI_repr_symm_apply, LocallyConvexSpace.toPolynormableSpace, curveIntegralFun_fun_zero, RCLike.ofReal_alg, Submodule.sInf_orthogonal, OrthonormalBasis.inner_eq_zero, curveIntegralFun_def', MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, Submodule.isOrtho_span, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, RCLike.conj_tsum, inner_add_add_self, RCLike.I_im, ContinuousLinearMap.le_def, hasGradientAt_iff_tendsto, InnerProductSpace.Core.inner_sub_sub_self, LinearMap.isPositive_zero, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, inner_add_right, LinearIsometry.orthonormal_comp_iff, continuous_inner, RCLike.sqrt_neg_one, nnnorm_inner_le_nnnorm, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, InnerProductSpace.Core.inner_zero_right, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, Submodule.isClosed_orthogonal, EuclideanSpace.norm_eq, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, LinearMap.adjoint_lTensor, RCLike.conj_eq_iff_real, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, OrthonormalBasis.map_apply, RCLike.ofNat_mul_im, LinearMap.toMatrixOrthonormal_apply, MeasureTheory.condExpL1CLM_lpMeas, Submodule.isSymmetricProjection_starProjection, OrthogonalFamily.inner_sum, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, EuclideanSpace.inner_eq_star_dotProduct, OrthonormalBasis.sum_repr_symm, RCLike.isCauSeq_im, InnerProductSpace.norm_sq_eq_re_inner, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, Orthonormal.inner_left_sum, Pi.orthonormalBasis.toBasis, LinearIsometry.map_starProjection, Orientation.inner_mul_areaForm_sub', inner_sub_left, Matrix.posSemidef_gram, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, Submodule.inf_orthogonal, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, toWeakSpace_closedConvexHull_eq, Submodule.IsOrtho.le, Submodule.reflection_map, InnerProductSpace.span_gramSchmidt_Iic, LinearMap.IsSymmetric.direct_sum_isInternal, Submodule.det_reflection, TensorProduct.inner_comm_comm, Submodule.inner_orthogonalProjection_eq_of_mem_left, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, ContinuousLinearMap.extendTo𝕜_apply, ContinuousLinearMap.IsPositive.add, EuclideanSpace.volume_ball_fin_three, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, CurveIntegrable.fun_neg, ContinuousLinearMap.norm_extendTo𝕜', MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, LinearPMap.isSelfAdjoint_def, IsContDiffImplicitAt.bijective, ProbabilityTheory.covarianceBilin_apply_basisFun, hasGradientAt_iff_hasFDerivAt, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, maximal_orthonormal_iff_orthogonalComplement_eq_bot, Submodule.reflection_orthogonal, inner_eq_zero_of_left, Submodule.isOrtho_top_right, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, TensorProduct.assocIsometry_apply, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, Orthonormal.inner_finsupp_eq_sum_left, RCLike.mul_im_I_ax, RCLike.continuous_conj, LinearIsometryEquiv.rTensor_apply, LinearIsometryEquiv.inner_map_map, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, InnerProductSpace.isStarProjection_rankOne_self, RCLike.norm_natCast, coord_norm', contDiffAt_inner, LinearIsometry.integral_comp_comm, OrthonormalBasis.measurePreserving_repr_symm, lp.summable_inner, MeasureTheory.measureReal_abs_gt_le_integral_charFun, DifferentiableOn.inner, ClosedSubmodule.orthogonal_eq_top_iff, EuclideanSpace.piLpCongrLeft_single, hasFDerivAt_exp_smul_const, Differentiable.inner, EuclideanGeometry.dist_reflection, PreInnerProductSpace.Core.re_inner_nonneg, RCLike.ofReal_intCast, InnerProductSpaceable.add_left, RCLike.normSq_eq_def', RCLike.ofReal_eq_zero, hasFDerivWithinAt_euclidean, ClosedSubmodule.mem_orthogonal_iff, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, RCLike.re_mul_ofReal, LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, Submodule.starProjection_orthogonal, ContinuousLinearMap.instNonnegSpectrumClassRealId, ContinuousMap.setOfIdeal_eq_compl_singleton, RCLike.ofRealCLM_norm, stereographic_target, inner_self_ofReal_norm, Unitary.norm_map, LinearMap.instStarModuleId, Submodule.starProjection_apply_mem, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, InnerProductSpace.rankOne_comp_rankOne, parallelogram_law, Submodule.orthogonal_closure', LinearIsometry.toLinearMap_rTensor, RCLike.norm_re_le_norm, Matrix.toEuclideanLin_eq_toLin, Matrix.isHermitian_iff_isSymmetric, re_inner_self_pos, convex_RCLike_iff_convex_real, Submodule.le_orthogonal_iff_le_orthogonal, curveIntegral_zero, Matrix.finite_real_spectrum, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, inner_eq_neg_one_iff_of_norm_eq_one, Submodule.mem_orthogonal, exists_dual_vector', EuclideanSpace.basisFun_inner, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, inner_smul_right, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, EuclideanSpace.ofLp_single, LinearMap.polar_AbsConvex, differentiableAt_euclidean, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, OrthonormalBasis.reindex_toBasis, RCLike.nonneg_iff_exists_ofReal, RCLike.geometric_hahn_banach_open, EuclideanGeometry.orthogonalProjection_mem, RCLike.conj_wInner_symm, InnerProductSpace.isSymmetric_rankOne_self, RCLike.ofReal_expect, Commute.cfcHom, inner_eq_one_iff_of_norm_eq_one, LinearIsometryEquiv.symm_rTensor, LinearMap.isSymmetricProjection_iff, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, LinearMap.eq_adjoint_iff_basis, cfc_apply_mem_elemental, TensorProduct.commIsometry_symm, isStarProjection_starProjection, unitary.norm_map, RCLike.ofReal_nonpos, SchwartzMap.tsupport_fderivCLM_subset, MeasureTheory.Integrable.inner_const, ContinuousLinearMap.integral_comp_L1_comm, curveIntegralFun_add, LinearEquiv.isSymmetric_symm_iff, InnerProductSpace.gramSchmidt_def'', OrthonormalBasis.equiv_symm, nnnorm_cfcₙHom, EuclideanSpace.volume_preserving_symm_measurableEquiv_toLp, InnerProductSpace.Core.inner_mul_symm_re_eq_norm, MeasureTheory.integral_fin_nat_prod_eq_prod, OrthonormalBasis.orthonormal_adjustToOrientation, Continuous.inner_, curveIntegralFun_sub, RCLike.ofReal_one, RCLike.toIsOrderedAddMonoid, OrthogonalFamily.eq_ite, Continuous.inner, RCLike.re_le_re, differentiableOn_euclidean, RCLike.reLm_coe, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, InnerProductSpace.mem_span_gramSchmidt, inner_smul_real_left, RCLike.natCast_im, MeasureTheory.integrable_condExpL2_indicator, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, RCLike.nnnorm_conj, RCLike.ratCast_re, Unitization.instCStarRing, range_mfderiv_coe_sphere, RCLike.ofReal_div, ClosedSubmodule.inf_orthogonal_eq_bot, Submodule.reflection_eq_self_iff, stereographic_source, RCLike.wInner_one_const_right, Commute.cfc, RCLike.lt_iff_re_im, Matrix.posSemidef_iff_eq_sum_vecMulVec, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, SchwartzMap.integralCLM_apply, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, RCLike.norm_two, EuclideanSpace.volume_ball_fin_two, norm_add_sq, RCLike.norm_sq_re_conj_add, NormedSpace.polar_ball, EuclideanSpace.inner_basisFun_real, innerSLFlip_apply, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, Submodule.ker_starProjection, RCLike.sqrt_neg_I, InnerProductSpace.toContinuousLinearMap_toDualMap, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', RCLike.normSq_pos, InnerProductSpace.Core.inner_sub_left, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, IsSelfAdjoint.commute_cfcₙHom, inner_eq_ofReal_norm_sq_left_iff, norm_add_mul_self, LinearIsometryEquiv.symm_conjStarAlgEquiv, Submodule.topologicalClosure_eq_top_iff, RCLike.conj_im, Function.RCLike.hasTemperateGrowth_ofReal, MeasureTheory.Integrable.ofReal, EuclideanSpace.volume_ball, LinearMap.IsSymmetric.zero, TensorProduct.enorm_assoc, RCLike.conj_I, OrthonormalBasis.repr_symm_single, contDiff_inner, Submodule.reflection_bot, innerSL_apply_norm, InnerProductSpace.toDual_apply_eq_toDualMap_apply, InnerProductSpace.Core.inner_self_ofReal_re, ContinuousLinearMap.isPositive_def', LinearMap.adjoint_inner_left, Matrix.frobenius_norm_mul, Matrix.star_dotProduct_gram_mulVec, hasStrictFDerivAt_exp_zero, RCLike.hasSum_iff, RCLike.measurable_im, curveIntegral_eq_intervalIntegral_deriv, RCLike.inv_def, RCLike.sqrt_I, OrthogonalFamily.range_linearIsometry, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, Submodule.ker_orthogonalProjection, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, innerSL_real_flip, Submodule.reflection_map_apply, RCLike.nnnorm_two, TensorProduct.dist_tmul_le, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, Submodule.sup_orthogonal_of_hasOrthogonalProjection, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, TensorProduct.norm_lid, MeasureTheory.lpTrimToLpMeas_ae_eq, MeasureTheory.charFun_eq_charFunDual_toDualMap, Matrix.instIsOrderedAddMonoid, CFC.quasispectrum_abs, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_iSup_right, TensorProduct.toLinearEquiv_assocIsometry, Submodule.IsOrtho.disjoint, SchwartzMap.compCLM_apply, EuclideanGeometry.orthogonalProjection_orthogonalProjection, RCLike.norm_nnratCast, toMatrix_innerSL_apply, OrthonormalBasis.equiv_apply_basis, ClosedSubmodule.sInf_orthogonal, Orientation.volumeForm_robust', Submodule.HasOrthogonalProjection.exists_orthogonal, ModelWithCorners.convex_range', CFC.spectrum_abs, Submodule.starProjection_top, Submodule.iInf_orthogonal, RCLike.ofReal_nnratCast, NormedSpace.sInter_polar_eq_closedBall, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_dist_eq, lp.hasSum_inner, isBoundedBilinearMap_inner, TensorProduct.nnnorm_assoc, RCLike.ofReal_pos, RCLike.re_le_norm, OrthonormalBasis.norm_le_card_mul_iSup_norm_inner, RCLike.wInner_zero_left, Polynomial.aeval_ofReal, ContinuousLinearMap.orthogonal_range, Submodule.lipschitzWith_starProjection, ContinuousLinearMap.isPositive_iff_complex, instSymmEqInnerOfNat, ordinaryHypergeometricSeries_eq_zero_iff, InnerProductSpace.span_gramSchmidt, EuclideanGeometry.hasFDerivAt_inversion, RCLike.ofNat_im, torusIntegral_smul, OrthonormalBasis.span_apply, inner_sub_right, ClosedSubmodule.orthogonal_toSubmodule_eq, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, ContinuousLinearMap.isPositive_iff, TensorProduct.mapIsometry_apply, InnerProductSpace.Core.inner_add_right, RCLike.inv_pos, ContinuousMap.adjoin_id_eq_span_one_add, LinearMap.IsSymmetric.sub, ProbabilityTheory.covarianceBilin_map, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, RCLike.real_smul_ofReal, cfcₙ_norm_sq_nonneg, SchwartzMap.instFourierSMul, SchwartzMap.fourierTransformCLM_apply, AffineSubspace.signedInfDist_singleton, RCLike.norm_sq_eq_def, LinearIsometryEquiv.smul_trans, SchwartzMap.fderivCLM_fourier_eq, MeasureTheory.L2.mem_L1_inner, SchwartzMap.derivCLM_apply, TensorProduct.toLinearMap_mapIsometry, RCLike.ratCast_im, Unitary.inner_map_map, RCLike.I_mul_re, TensorProduct.enorm_map, uniformEquicontinuous_birkhoffAverage, RCLike.wInner_neg_left, LinearMap.IsSymmetric.id, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, RCLike.conj_eq_iff_im, ContinuousLinearMap.adjoint_comp, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, Commute.cfcₙ, curveIntegralFun_restrictScalars, EuclideanGeometry.Sphere.IsTangent.isTangentAt, InnerProductSpace.toLinearMap_rankOne, ContinuousLinearMap.adjointAux_inner_right, HilbertBasis.repr_self, RCLike.conj_re_ax, TensorProduct.commIsometry_apply, MeasureTheory.condExpInd_smul', InnerProductSpace.Core.inner_self_of_eq_zero, RCLike.mul_self_norm, TensorProduct.congrIsometry_symm, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, LinearMap.IsSymmetric.orthogonal_range, MeasureTheory.L2.integrable_inner, dimH_orthogonalProjection_le, MeasureTheory.charFun_map_mul, inner_mul_symm_re_eq_norm, curveIntegral_fun_sub, Submodule.re_inner_starProjection_nonneg, ContDiffWithinAt.inner, Submodule.adjoint_orthogonalProjection, EuclideanGeometry.reflection_apply', hasFDerivWithinAt_iff_hasGradientWithinAt, CurveIntegrable.smul, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, Submodule.isOrtho_bot_right, LinearMap.adjoint_comp, EuclideanGeometry.oangle_self_orthogonalProjection, RCLike.norm_coe_norm, LinearMap.IsPositive.inner_nonneg_right, Matrix.toEuclideanLin_apply_piLp_toLp, InnerProductSpace.span_gramSchmidt_Iio, LinearIsometryEquiv.lTensor_def, RCLike.mul_im, Submodule.mem_orthogonal_singleton_iff_inner_left, RCLike.ofReal_tsum, Submodule.mem_adjoint_iff, RCLike.normSq_div, RCLike.im_sq_le_normSq, LinearMap.isSymmetric_iff_isSelfAdjoint, inner_eq_zero_symm, RCLike.lipschitzWith_ofReal, EuclideanSpace.dist_eq, Submodule.reflection_involutive, SchwartzMap.convolution_flip, Orthonormal.orthogonalFamily, LinearMap.isSymmetric_iff_sesqForm, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, LinearIsometryEquiv.reflections_generate_dim, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, intervalIntegral.integral_smul_const, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, HilbertBasis.summable_inner_mul_inner, ContinuousLinearMap.isPositive_iff', Submodule.finrank_add_finrank_orthogonal, ContinuousLinearMap.star_eq_adjoint, Submodule.orthogonal_eq_top_iff, Submodule.lipschitzWith_orthogonalProjection, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, volume_euclideanSpace_eq_dirac, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, RCLike.wInner_one_const_left, ProperCone.hyperplane_separation_of_notMem, OrthonormalBasis.inner_eq_one, RCLike.ofReal_mul_neg_iff, orthogonalFamily_iff_pairwise, RCLike.re_ofReal_pow, re_inner_self_nonpos, RCLike.norm_sq_re_add_conj, LinearMap.IsSymmetric.im_inner_apply_self, Submodule.inf_orthogonal_eq_bot, Submodule.isOrtho_sSup_left, innerₛₗ_apply, deriv_inner_apply, RCLike.im_to_complex, Affine.Simplex.orthogonalProjectionSpan_reindex, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, InnerProductSpace.Core.cauchy_schwarz_aux', InnerProductSpace.isIdempotentElem_rankOne_self_iff, stereographic_apply, MeasureTheory.inner_condExpL2_eq_inner_fun, StrongDual.toLp_apply, OrthogonalFamily.norm_sum, HasGradientAtFilter.tendsto_nhds, Submodule.inner_starProjection_left_eq_right, MeasureTheory.mem_lpMeas_self, ContinuousLinearMap.IsPositive.spectrumRestricts, OrthonormalBasis.sum_repr, RCLike.re_eq_complex_re, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, IsCoercive.ker_eq_bot, InnerProductSpaceable.innerProp, RCLike.norm_to_complex, Submodule.fstL_comp_coe_orthogonalDecomposition, inner_smul_left_eq_smul, RCLike.imCLM_coe, RCLike.re_sq_le_normSq, isStarProjection_iff_eq_starProjection_range, ContinuousLinearMap.reApplyInnerSelf_smul, RCLike.conj_inv, LinearIsometryEquiv.symm_units_smul, IsHilbertSum.linearIsometryEquiv_symm_apply_single, UnitAddTorus.mFourierBasis_repr, HasDerivAt.inner, LinearIsometryEquiv.toLinearIsometry_rTensor, Submodule.starProjection_minimal, EuclideanGeometry.orthogonalProjection_linear, OrthonormalBasis.sum_rankOne_eq_id, fourierBasis_repr, AffineSubspace.signedInfDist_def, Submodule.starProjection_mem_subspace_eq_self, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, MeasureTheory.integral_fintype_prod_volume_eq_prod, RCLike.mul_re, TensorProduct.norm_tmul, LinearMap.isPositive_iff, LinearIsometryEquiv.symm_smul_apply, SchwartzMap.tsupport_derivCLM_subset, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, RCLike.normSq_zero, OrthonormalBasis.coe_toBasis_repr_apply, RCLike.enorm_conj, inner_smul_right_eq_smul, LinearIsometryEquiv.star_eq_symm, orthonormal_iff_ite, RCLike.wInner_add_left, SchwartzMap.integral_smul_laplacian_right_eq_left, EuclideanGeometry.reflection_involutive, ContinuousOn.inner, RCLike.re_le_neg_norm_iff_eq_neg_norm, OrthonormalBasis.coe_equiv_euclideanSpace, RCLike.conjAe_coe, RCLike.neg_iff_exists_ofReal, RCLike.wInner_one_eq_sum, InnerProductSpace.Core.inner_add_add_self, inner_self_eq_one_of_norm_one, norm_cfcHom, RCLike.to_complex_nonneg_iff, EuclideanSpace.dist_sq_eq, integral_ofReal, RCLike.sqrt_zero, Submodule.orthogonalProjectionFn_eq, lt_norm_lt, TensorProduct.nnnorm_comm, Submodule.IsOrtho.ge, Affine.Simplex.signedInfDist_affineCombination, Submodule.bot_orthogonal_eq_top, signedDist_apply, UniformSpace.Completion.inner_coe, Unitization.norm_splitMul_snd_sq, ContinuousLinearMap.IsPositive.conj_starProjection, EuclideanGeometry.angle_self_orthogonalProjection, EuclideanSpace.inner_toLp_toLp, Orthonormal.comp_linearIsometryEquiv, RCLike.im_ofReal_mul, Submodule.map_orthogonal, Matrix.l2_opNNNorm_diagonal, inner_self_re_eq_norm, ordinaryHypergeometric_radius_top_of_neg_nat₁, Matrix.instCStarRing, RCLike.normSq_eq_zero, NormedField.denselyOrdered_range_nnnorm, AffineSubspace.direction_perpBisector, RCLike.instOrderClosedTopology, LinearMap.IsSymmetric.conj_inner_sym, Filter.Tendsto.inner, MeasureTheory.Integrable.const_inner, OrthonormalBasis.same_orientation_iff_det_eq_det, ContinuousLinearMap.extendTo𝕜'_apply, ClosedSubmodule.orthogonal_disjoint, RCLike.I_re, ContinuousLinearMap.isAdjointPair_inner, TensorProduct.norm_map, dist_birkhoffAverage_birkhoffAverage_le, ContinuousLinearMap.coe_le_coe_iff, AddChar.linearIndependent, RCLike.instPosMulReflectLE, EuclideanGeometry.orthogonalProjection_eq_self_iff, RCLike.im_eq_complex_im, EuclideanGeometry.reflection_subtype, Submodule.orthogonal_le_orthogonal_iff, Submodule.orthogonal_le_iff_orthogonal_le, Orientation.finOrthonormalBasis_orientation, RCLike.ofReal_im_ax, ContinuousLinearEquiv.coord_norm', OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, ContinuousLinearMap.isPositive_zero, Submodule.snd_orthogonalDecomposition_apply, cfcₙ_apply_mem_elemental, InnerProductSpace.Core.inner_self_im, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, ContinuousLinearMap.integral_comp_id_comm, hasStrictFDerivAt_exp_smul_const, SchwartzMap.fourier_convolution_apply, RCLike.instNormSMulClassInt, Submodule.starProjection_le_starProjection_iff, ContDiffAt.inner, RCLike.wInner_cWeight_const_right, ContinuousMap.elemental_id_eq_top, LinearMap.eq_adjoint_iff_basis_right, Submodule.instOrthogonalCompleteSpace, IsSelfAdjoint.commute_cfcₙ, AEMeasurable.re, hasDerivAt_exp_smul_const', instOrderIsoClassContinuousLinearMapIdOfNonUnitalAlgEquivClassOfStarHomClassOfContinuousMapClass, LinearMap.isStarProjection_iff_isSymmetricProjection, LinearIsometryEquiv.toLinearEquiv_rTensor, EuclideanSpace.nnnorm_eq, innerₛₗ_apply_coe, RCLike.nnnorm_natCast, PiLp.inner_apply, Submodule.orthogonalDecomposition_apply, Submodule.isOrtho_self, LinearIsometryEquiv.toLinearIsometry_lTensor, AddChar.wInner_cWeight_eq_boole, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, range_cfcHom, RCLike.re_ofReal_mul, norm_add_pow_two, ClosedSubmodule.orthogonal_closure, AddChar.map_neg_eq_conj, hasGradientWithinAt_iff_tendsto, InnerProductSpace.add_left, OrthonormalBasis.toMatrix_orthonormalBasis_mem_orthogonal, EuclideanSpace.inner_single_right, norm_eq_sqrt_re_inner, RCLike.iInter_halfSpaces_eq, inner_self_nonneg, nnnorm_cfcHom, RCLike.normSq_to_complex, OrthonormalBasis.orientation_adjustToOrientation, RCLike.continuous_im, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, RCLike.normSq_add, MeasureTheory.eLpNorm_condExpL2_le, RCLike.div_re, RCLike.geometric_hahn_banach_compact_closed, LinearMap.IsPositive.adjoint_eq, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, fderiv_norm_rpow, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, Matrix.toEuclideanLin_eq_toLin_orthonormal, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, isStarProjection_iff_eq_starProjection, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, RCLike.geometric_hahn_banach_point_closed, LinearMap.IsSymmetricProjection.le_iff_range_le_range, RCLike.intervalIntegral_ofReal, UniformSpace.Completion.continuous_inner, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, EuclideanGeometry.orthogonalProjection_apply, IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, curveIntegral_def', re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, EuclideanGeometry.Sphere.direction_orthRadius, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, EuclideanGeometry.eq_reflection_of_eq_subspace, OrthonormalBasis.coe_singleton, LinearIsometry.rTensor_apply, NormedSpace.polar_closedBall, Submodule.norm_orthogonalProjection, Matrix.l2_opNNNorm_conjTranspose_mul_self, Submodule.instHasOrthogonalProjectionTop, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, LinearIsometry.toLinearMap_lTensor, EuclideanGeometry.orthogonalProjection_mem_orthogonal, coe_innerₛₗ_apply, ContinuousWithinAt.inner, curveIntegral_add, TensorProduct.nndist_tmul_le, hasDerivAt_exp_zero, MeasureTheory.charFun_map_eq_charFunDual_smul, InnerProductSpace.continuousLinearMapOfBilin_apply, hasGradientWithinAt_iff_isLittleO, Matrix.cstar_norm_def, norm_sub_pow_two, RCLike.conj_eq_re_sub_im, DFinsupp.inner_sum, InnerProductSpace.Core.re_inner_smul_ofReal_smul_self, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv, inner_matrix_row_row, MeasureTheory.condExpIndSMul_ae_eq_smul, MeasureTheory.intervalIntegrable_charFun, ContinuousMap.idealOf_compl_singleton_isMaximal, MeasureTheory.lpMeas.ae_fin_strongly_measurable', gaugeSeminormFamily_ball, curveIntegral_sub, RCLike.sqrt_normSq_eq_norm, RCLike.conj_ofNat, HasGradientAt.fderiv_apply, SchwartzMap.instFourierInvSMul, TemperedDistribution.derivCLM_apply_apply, OrthonormalBasis.tensorProduct_apply, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, RCLike.tendsto_ofReal_atBot_cobounded, MeasureTheory.condExpIndSMul_smul', Complex.isometryOfOrthonormal_symm_apply, Matrix.instStarOrderedRing, RCLike.normSq_apply, CurveIntegrable.sub, PreInnerProductSpace.Core.add_left, RCLike.ofRealCLM_coe, TensorProduct.congrIsometry_apply, ConvexOn.exists_affine_le_of_lt, OrthonormalBasis.det_to_matrix_orthonormalBasis_real, MeasureTheory.integral_prod_smul, inner_sub_sub_self, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, innerSL_apply_coe, ContinuousLinearMap.isPositive_one, ContinuousLinearMap.isPositive_sum, instIsRCLikeNormedField, ordinaryHypergeometricSeries_norm_div_succ_norm, HasStrictFDerivAt.inner, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, re_inner_le_norm, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, LinearMap.toMatrix_adjoint, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, inner_eq_one_iff_of_norm_one, ProbabilityTheory.charFun_gaussianReal, CFC.abs_smul, RCLike.conj_smul, HilbertBasis.tsum_inner_mul_inner, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, RCLike.mul_re_ax, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, ContinuousLinearMap.integral_comp_comm, EuclideanSpace.single_eq_zero_iff, TensorProduct.nnnorm_lid, LinearMap.im_inner_adjoint_mul_self_eq_zero, RCLike.instTietzeExtension, ClosedSubmodule.orthogonal_closure', Matrix.l2_opNorm_def, OrthogonalFamily.linearIsometry_apply, Matrix.toEuclideanLin_toLp, continuous_stereoInvFun, Submodule.orthogonalProjection_eq_zero_iff, MeasureTheory.condExpL1CLM_smul, Matrix.l2_opNorm_mul, norm_innerSL_le, norm_inner_symm, OrthonormalBasis.measurePreserving_measurableEquiv, ContinuousLinearMap.IsPositive.isSelfAdjoint, OrthonormalBasis.sum_repr', RCLike.norm_le_im_iff_eq_I_mul_norm, RCLike.real_smul_eq_coe_mul, Submodule.coe_orthogonalProjection_apply, Submodule.starProjection_coe_eq_isCompl_projection, RCLike.ofReal_inv, ContinuousMap.idealOfSet_ofIdeal_isClosed, RCLike.ofRealAm_coe, RCLike.normSq_one, RCLike.re_to_complex, orthonormal_vecCons_iff, SchwartzMap.integral_smul_deriv_right_eq_neg_left, LinearMap.posSemidef_toMatrix_iff, Submodule.starProjection_apply_eq_zero_iff, SchwartzMap.fourier_convolution, Orthonormal.inner_right_fintype, RCLike.charZero_rclike, EuclideanSpace.nndist_single_same, OrthonormalBasis.abs_det_adjustToOrientation, HasGradientWithinAt.hasFDerivWithinAt, EuclideanSpace.edist_eq, hasFDerivAt_exp, EuclideanSpace.single_apply, RCLike.isCauSeq_re, Pi.orthonormalBasis_repr, RCLike.hasSum_conj', IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, InnerProductSpace.conj_inner_symm, RCLike.I_im', Orthonormal.tmul, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, LinearMap.isPositive_one, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, range_cfc, RCLike.wInner_add_right, Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, DifferentiableWithinAt.inner, Submodule.isOrtho_bot_left, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, HilbertBasis.hasSum_inner_mul_inner, LinearIsometryEquiv.toContinuousLinearEquiv_smul, fderivInnerCLM_apply, Orthonormal.sum_inner_products_le, EuclideanGeometry.orthogonalProjection_eq_iff_mem, ConvexOn.sSup_affine_eq, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, RCLike.I_mul_I_of_nonzero, RCLike.I_mul_I_ax, SchwartzMap.toZeroAtInftyCLM_apply, LinearMap.IsSymmetric.coe_re_inner_apply_self, RCLike.span_one_I, OrthogonalFamily.summable_iff_norm_sq_summable, CurveIntegrable.add, RCLike.geometric_hahn_banach_closed_compact, MeasureTheory.eLpNorm_conj, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, DFinsupp.sum_inner, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, Submodule.orthogonalProjection_norm_le, EuclideanSpace.volume_closedBall, NormedField.exists_lt_norm_lt, RCLike.intCast_im, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, finrank_euclideanSpace_fin, Submodule.orthogonalProjection_orthogonal, inner_conj_symm, LinearIsometryEquiv.rTensor_def, MeasureTheory.norm_condExpL2_le_one, AddChar.inv_apply_eq_conj, OrthonormalBasis.repr_reindex, MeasureTheory.condExpL2_comp_continuousLinearMap, inner_im_symm, RCLike.re_extendTo𝕜'ₗ, InnerProductSpace.symm_toEuclideanLin_rankOne, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, MeasureTheory.memLp_re_im_iff, ContinuousLinearMap.adjoint_innerSL_apply, Submodule.IsOrtho.comap, OrthogonalFamily.inner_right_fintype, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, binomialSeries_radius_ge_one, RCLike.normSq_sub, InnerProductSpace.Core.toSeminormedSpaceCore, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, Orthonormal.inner_sum, EuclideanGeometry.reflection_apply, intervalIntegral.integral_mul_const, ContinuousLinearMap.IsPositive.re_inner_nonneg_right, RCLike.wInner_cWeight_eq_smul_wInner_one, ContinuousMap.idealOfSet_isMaximal_iff, ContinuousLinearMap.integral_id_map, MeasureTheory.condExpL2_const_inner, curveIntegrable_restrictScalars_iff, LinearMap.IsSymmetric.intCast, IsCoercive.isClosed_range, InnerProductSpace.Core.inner_zero_left, TensorProduct.ext_iff_inner_right_threefold, curveIntegralFun_def, InnerProductSpaceable.inner_.conj_symm, ContinuousLinearMap.intervalIntegral_comp_comm, inner_eq_ofReal_norm_sq_right_iff, RCLike.tendsto_ofReal_atTop_cobounded, CurveIntegrable.neg, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.integral_convolution, contDiff_euclidean, fderiv_norm_sq_apply, Submodule.starProjection_eq_self_iff, IsSelfAdjoint.commute_cfc, RCLike.imCLM_apply, cfcHom_apply_mem_elemental, OrthonormalBasis.tensorProduct_repr_tmul_apply, RCLike.conj_neg_I, ConvexOn.univ_sSup_of_nat_affine_eq, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, RCLike.inv_I, TensorProduct.assocIsometry_symm_apply, InnerProductSpace.Core.inner_conj_symm, InnerProductSpace.gramSchmidt_mem_span, MeasureTheory.MemLp.ofReal, LinearMap.IsSymmetric.add, RCLike.inner_eq_wInner_one, TensorProduct.inner_map_map, RCLike.geometric_hahn_banach_open_open, MeasureTheory.integral_mul_const, RCLike.lipschitzWith_im, fderiv_norm_sq, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, TensorProduct.toLinearMap_mapInclIsometry, OrthogonalFamily.inner_right_dfinsupp, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', orthonormal_span, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, surjective_stereographic, inner_vsub_left_eq_zero_symm, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendsto, ContinuousLinearMap.toSesqForm_apply_norm_le, HilbertBasis.hasSum_repr_symm, inner_neg_left, hasFDerivAt_stereoInvFunAux_comp_coe, LinearMap.adjoint_id, inner_smul_left, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, MeasureTheory.condExpL2_indicator_nonneg, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, RCLike.im_le_norm, fderiv_inner_apply, norm_inner_le_norm, inner_matrix_col_col, Affine.Simplex.altitude_def, RCLike.div_I, RCLike.normSq_conj, OrthonormalBasis.inner_eq_ite, ContinuousLinearMap.orthogonal_ker, InnerProductSpace.norm_rankOne, Submodule.isHilbertSumOrthogonal, RCLike.inv_re, RCLike.ofReal_ratCast, real_inner_I_smul_self, LinearIsometry.lTensor_def, Orthonormal.inner_right_sum, TensorProduct.edist_tmul_le, unitary.inner_map_map, LinearMap.IsPositive.conj_adjoint, RCLike.norm_of_nonneg, Orthonormal.tsum_inner_products_le, Matrix.gram_single, LinearMap.IsSymmetric.pow, InnerProductSpace.Core.inner_sub_right, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, curveIntegralFun_zero, Submodule.orthogonalProjectionFn_mem, Orthonormal.inner_eq_zero, LinearMap.IsPositive.re_inner_nonneg_left, RCLike.zero_im, ContinuousLinearMapWOT.ext_inner_iff, Matrix.permMatrix_l2_opNorm_eq, norm_inner_div_norm_mul_norm_eq_one_iff, MeasureTheory.lpMeas.aestronglyMeasurable, RCLike.geometric_hahn_banach_open_point, Submodule.mem_iff_norm_starProjection, IsCoercive.antilipschitz, InnerProductSpace.gramSchmidt_inv_triangular, Orthonormal.comp_linearIsometry, hasStrictFDerivAt_euclidean, unitary.linearIsometryEquiv_coe_apply, HilbertBasis.finite_spans_dense, RCLike.ofReal_lt_zero

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
lt_norm_lt 📖	mathematical	Real Real.instLE Real.instZero Real.instLT	Norm.norm NormedField.toNorm toNormedField	—	—

NontriviallyNormedField

Definitions

Name	Category	Theorems
ofNormNeOne 📖	CompOp	—
toNormedField 📖	CompOp	3568 math math: contDiffAt_snd, withSeminorms_iff_mem_nhds_isVonNBounded, Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, LinearMap.det_toContinuousLinearMap, mfderiv_sumSwap, ValueDistribution.logCounting_zero, TangentBundle.continuousLinearMapAt_model_space, hasFDerivAt_iff_hasDerivAt, ContinuousLinearEquiv.antilipschitz, TangentBundle.tangentMap_tangentBundle_pure, VectorBundleCore.toFiberBundleCore_coordChange, ContMDiffAt.coordChangeL, MeromorphicOn.deriv, contMDiff_prod_assoc, Real.hasDerivAt_arccos, Real.hasDerivAt_fourier, PiTensorProduct.mapL_id, closure_diff_intrinsicFrontier, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Polynomial.differentiableWithinAt, MeasureTheory.convolution_flip, Trivialization.pullback_linear, FormalMultilinearSeries.comp_rightInv_aux1, ContinuousLinearMap.hasFPowerSeriesOnBall, tendsto_zero_iff_meromorphicOrderAt_pos, MDifferentiable.coordChangeL, hasStrictFDerivAt_const_add_iff, Unitization.isometry_inr, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, hasStrictFDerivAt_apply, differentiableWithinAt_finCons', ContinuousMultilinearMap.norm_mkPiRing, differentiableAt_comp_const_add, fderiv_snd, LinearIsometryEquiv.hasStrictFDerivAt, Bundle.Trivial.continuousLinearEquivAt_trivialization, HasStrictFDerivAt.isLittleOTVS, NormedSpace.isBounded_polar_of_mem_nhds_zero, Prod.instLieGroup, deriv_sub_const_fun, differentiableAt_comp_neg, Real.iteratedDerivWithin_cos_Ioo, MeromorphicAt.fun_iterated_deriv, hasDerivWithinAt_Iio_iff_Iic, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, fderivWithin_ofNat, AffineMap.hasStrictDerivAt_lineMap, Bundle.ContMDiffRiemannianMetric.contMDiff, Bundle.mdifferentiableAt_proj, LinearIsometryEquiv.comp_fderiv, contDiff_fst, ContinuousLinearMap.isBigO_comp, ContinuousAlternatingMap.opNorm_prod, Trivialization.mdifferentiableAt_section_iff, LeftInvariantDerivation.lift_zero, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, logDeriv_const, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, ContMDiffMul.prod, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, ContinuousLinearMap.continuous₂, ContinuousLinearEquiv.differentiable, ContinuousLinearMap.opNorm_prod, hasDerivWithinAt_add_const_iff, FormalMultilinearSeries.comp_partialSum, HasFTaylorSeriesUpTo.differentiable, DoubleCentralizer.star_snd, ContinuousLinearMap.norm_inr_le_one, differentiableOn_star_iff, HasMFDerivAt.add, Real.iteratedDeriv_odd_cos, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, LinearIsometryEquiv.analyticOnNhd, QuadraticMap.lineDeriv, hasStrictDerivAt_intCast, measurable_lineDeriv, LeftInvariantDerivation.leibniz, MeasureTheory.convolution_eq_right', HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, smooth_barycentric_coord, PiLp.contDiff_toLp, ContinuousMultilinearMap.cpolynomialOn, LinearIsometry.norm_compContinuousAlternatingMap, ModelWithCorners.range_prod, Real.contDiffOn_log, extDeriv_constOfIsEmpty, Bundle.contMDiffOn_zeroSection, Bundle.Trivial.symmL_trivialization, Complex.iteratedDeriv_even_cosh, hasStrictFDerivAt_list_prod_finRange', LinearIsometry.nnnorm_toContinuousLinearMap, fderiv_intCast, ContMDiffMap.coeFnAlgHom_apply, Function.FactorizedRational.divisor, hasDerivAt_sqrt_mul_log, Filter.EventuallyEq.fderivWithin, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, ContinuousAffineMap.fderiv, fderivWithin_one, ContinuousLinearMap.continuous_det, iteratedDerivWithin_const_mul_field, HasFiniteFPowerSeriesAt.neg, isSeparable_range_derivWithin, PiTensorProduct.mapLMonoidHom_apply, ContinuousLinearMap.opNorm_bound_of_ball_bound, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.isEmbedding_restrictScalars, ContinuousAlternatingMap.norm_constOfIsEmpty, fderivWithin_comp_add_left, ContinuousLinearMap.sSup_unit_ball_eq_norm, Convex.convex_isRCLikeNormedField, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, WeakDual.isCompact_polar, hasFDerivWithinAt_const, hasFDerivAt_one, Real.hasDerivAt_sigmoid, meromorphicOrderAt_const_ofNat, Real.analyticOn_cos, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, ContinuousLinearMap.analyticWithinAt, ContinuousAffineMap.differentiableWithinAt, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, Complex.analyticAt_cosh, MDifferentiableAt.mfderiv_prod, Real.contDiffAt_arcosh, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, hasFDerivAtFilter_pi, differentiableAt_zpow, hasFDerivAt_multiset_prod, contDiffOn_piLp', Manifold.IsImmersionAt.map_target_subset_target, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, iteratedDeriv_succ, mdifferentiableWithinAt_totalSpace, hasFTaylorSeriesUpToOn_top_iff_right, contMDiffWithinAt_vectorSpace_iff_contDiffWithinAt, smoothSheafCommRing.nonunits_stalk, MeasureTheory.convolution_mul, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, ContMDiffOn.prodMk, HasFPowerSeriesWithinOnBall.hasSum_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, intervalIntegral.integral_hasDerivWithinAt_right, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, ContDiff.iteratedFDeriv_right, FormalMultilinearSeries.radius_pi_eq_iInf, ContinuousLinearMap.norm_inl_le_one, analyticWithinAt_snd, ContinuousLinearEquiv.contDiff_comp_iff, SchwartzMap.pairing_apply_apply, contDiff_prodAssoc_symm, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, ContinuousMultilinearMap.norm_map_snoc_le, LineDifferentiableWithinAt.smul, MeasureTheory.Measure.MapLinearEquiv.isAddHaarMeasure, ImplicitFunctionData.isInvertible_fderiv_prodFun, Trivialization.continuousLinearMapAt_apply, iteratedFDerivWithin_eventually_congr_set, ApproximatesLinearOn.lipschitz, Real.analyticOnNhd_sin, tendsto_cobounded_iff_meromorphicOrderAt_neg, Real.hasStrictDerivAt_rpow_const_of_ne, mdifferentiableOn_iff, StrongDual.polarSubmodule_eq_setOf, ContinuousLinearMap.isBigOWith_sub, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMap.isUniformEmbedding_restrictScalars, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Meromorphic.deriv, Asymptotics.isLittleOTVS_one, HasFTaylorSeriesUpTo.cont, ImplicitFunctionData.isCompl_ker, ContinuousLinearMap.hasDerivAtFilter, fderivWithin_csinh, DoubleCentralizer.intCast_snd, mdifferentiableWithinAt_iff_of_mem_maximalAtlas, MeasureTheory.L1.norm_setToL1_le, DoubleCentralizer.range_toProdMulOpposite, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, AnalyticOnNhd.compContinuousLinearMap, WeakDual.isClosed_image_polar_of_mem_nhds, derivWithin_const, fderiv_id, ContinuousLinearMap.integral_apply, differentiableWithinAt_neg_iff, Module.Basis.constrL_basis, unique_topology_of_t2, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, ContinuousLinearMap.comp_memLp, Real.fderiv_fourierChar_neg_bilinear_right_apply, intervalIntegral.fderiv_integral_of_tendsto_ae, ContDiffAt.fderiv_right_succ, ContDiffBumpBase.smooth, ImplicitFunctionData.hasStrictFDerivAt_leftFun, NormedSpace.isBounded_iff_subset_smul_ball, Real.analyticOn_cosh, DoubleCentralizer.natCast_fst, hasFPowerSeriesOnBall_pi_iff, analyticOnNhd_inverse, AnalyticOnNhd.iteratedFDeriv_of_isOpen, ContinuousLinearMap.norm_compLp_le, Continuous.convolution_integrand_fst, MDifferentiableOn.prodMk_space, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContinuousLinearEquiv.symm_toDiffeomorph, ContDiffMapSupportedIn.structureMapCLM_apply, contDiff_piLp', eventually_enorm_mfderivWithin_symm_extChartAt_lt, ContinuousAlternatingMap.opNNNorm_pi, HasFPowerSeriesWithinAt.const_smul, tangentMap_snd, SchwartzMap.lineDerivOp_fourier_eq, Complex.analyticOn_sin, deriv_comp_const_sub, LeftInvariantDerivation.coe_derivation, HasFPowerSeriesWithinOnBall.restrictScalars, NormedSpace.isVonNBounded_iff, Manifold.IsImmersionAt_def, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, aemeasurable_smul_const, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, HasFTaylorSeriesUpTo.hasFDerivAt, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, LinearMap.continuousLinearMapClassOfFiniteDimensional, hasDerivAt_neg', ContMDiffWithinAt.mfderivWithin_const, Unitization.splitMul_apply, differentiable_fun_neg_iff, Manifold.IsImmersionOfComplement.prodMap, DoubleCentralizer.nnnorm_def', LinearMap.adjoint_eq_toCLM_adjoint, expNegInvGlue.not_analyticAt_zero, fderivWithin_zero_of_not_accPt, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, NormedSpace.image_isVonNBounded_iff, VectorField.mpullbackWithin_smul, contMDiff_addInvariantVectorField, eqOn_dslope_sub_smul, deriv_mul_const_field, ContinuousLinearMap.nnnorm_def, DoubleCentralizer.zero_snd, LeftInvariantDerivation.left_invariant', FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius, hasDerivAt_bernoulliFun, ContinuousLinearMap.norm_compContinuousMultilinearMap_le, FormalMultilinearSeries.le_changeOriginSeries_radius, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, derivWithin_fderivWithin, derivWithin_natCast, mfderiv_comp, Trivialization.mdifferentiableOn_section_baseSet_iff, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, analyticWithinAt_pi_iff, ApproximatesLinearOn.surjOn_closedBall_of_nonlinearRightInverse, ContDiffPointwiseHolderAt.isBigO, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, SchwartzMap.decay', ContinuousAlternatingMap.map_insertNth, FormalMultilinearSeries.derivSeries_coeff_one, Filter.EventuallyEq.lineDerivWithin_eq, Polynomial.isCoveringMapOn_eval, Complex.ofRealCLM_norm, contMDiff_neg_sphere, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, mdifferentiableOn_symm_coordChangeL, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, Continuous.integral_hasStrictDerivAt, MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNE, SchwartzMap.bilinLeftCLM_apply, derivWithin_congr, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, HasGradientAt.hasDerivAt', derivWithin_comp_const_sub, SmoothBumpCovering.exists_immersion_euclidean, OrderedFinpartition.norm_applyOrderedFinpartition_le, iteratedDeriv_pow, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, AffineMap.hasDerivWithinAt, HasFPowerSeriesAt.eventually_hasSum, MeromorphicOn.divisor_const, LeftInvariantDerivation.left_invariant, mfderiv_comp_apply_of_eq, Complex.iteratedDeriv_odd_sinh, MeromorphicNFAt.meromorphicOrderAt_nonneg_iff_analyticAt, contDiffWithinAt_fst, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, hasStrictFDerivAt_snd, ContMDiffAdd.prod, Complex.logDeriv_tendsto, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Complex.hasStrictDerivAt_tan, ContMDiffMul.contMDiff_mul, addInvariantVectorField_smul, Module.Basis.exists_opNorm_le, ContinuousAffineMap.differentiable, hasDerivWithinAt_iff_isLittleO, hasStrictFDerivAt_iff_isLittleOTVS, derivWithin_fun_const_smul_field, mdifferentiableWithinAt_iff_target_inter, differentiableWithinAt_fun_neg_iff, Bundle.contMDiffWithinAt_zeroSection, ContinuousAlternatingMap.piLIE_apply_apply, Differentiable.fderiv_norm_rpow, UniqueMDiffOn.uniqueDiffOn, mdifferentiableOn_snd, FDerivMeasurableAux.le_of_mem_A, lintegral_fderiv_lineMap_eq_edist, ContinuousLinearMap.isBigOWith_id, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, contMDiff_mul, contMDiff_mulInvariantVectorField, ContinuousLinearEquiv.coe_toDiffeomorph_symm, Real.iteratedDeriv_even_cosh, iteratedDeriv_div_const, tangentCoordChange_def, Filter.EventuallyEq.lineDeriv_eq, differentiableWithinAt_inv, ContinuousMultilinearMap.contDiffAt, hasDerivAtFilter_ofNat, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, NormedSpace.exp_series_hasSum_exp', HasFPowerSeriesOnBall.restrictScalars, contMDiffWithinAt_snd, ContinuousLinearMap.opNNNorm_le_iff, ContinuousLinearMap.isometry_mul_flip, DiffContOnCl.differentiableAt', AnalyticOnNhd.eval_linearMap', inner_gradientWithin_right, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, AffineEquiv.continuous_of_finiteDimensional, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, contMDiffWithinAt_prod_iff, LinearMap.coe_toContinuousLinearMap', iteratedFDerivWithin_succ_eq_comp_left, ContinuousMultilinearMap.opNorm_zero_iff, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, hasFDerivWithinAt_comp_smul_iff_smul, FDerivMeasurableAux.differentiable_set_subset_D, UniqueMDiffOn.prod, monomial_has_deriv_aux, continuous_equivFun_basis, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm, MeasureTheory.smul_convolution, contDiff_one_iff_fderiv, PiTensorProduct.projectiveSeminormAux_smul, MeasureTheory.ConvolutionExistsAt.integrable, Real.contDiffAt_tan, Real.hasDerivAt_mul_log, contMDiff_equivTangentBundleProd_symm, Asymptotics.isLittleOTVS_prodMk_left, fderivWithin_sinh, iter_deriv_zpow', hasLineDerivAt_iff_isLittleO_nhds_zero, Real.hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, ContinuousLinearMap.ebound, Real.analyticWithinAt_sinh, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, TestFunction.toBoundedContinuousFunctionCLM_apply, IsLocalFrameOn.coeff_apply_of_mem, hasFDerivWithinAt_sub_const_iff, ContinuousAlternatingMap.norm_def, Real.contDiffAt_rpow_const_of_le, hasStrictDerivAt_abs_pos, contDiff_prodAssoc, ContinuousLinearMap.smul_compLp, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, ContinuousLinearMap.contMDiff, ContinuousLinearMap.mdifferentiable, HasSum.hasSum_at_zero, Manifold.IsImmersionAtOfComplement.ofOpen, Pretrivialization.continuousLinearMap_symm_apply', HasFPowerSeriesAt.add, differentiableWithinAt_sub_const_iff, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, VectorBundleCore.coordChange_self, lineDifferentiableAt_smul_iff, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, fderiv_const_smul_field, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, hasFDerivWithinAt_inv, DoubleCentralizer.pow_snd, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, ContDiffAt.continuousAt_fderiv, hasDerivWithinAt_pi, lineDifferentiableWithinAt_congr_set, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, Real.analyticAt_cos, deriv_const', ContinuousLinearEquiv.comp_hasFDerivAt_iff, MeromorphicAt.eq_nhdsNE_toMeromorphicNFAt, hasMFDerivAt_sumSwap, ContinuousLinearMap.hasFDerivAt, fderivWithin_intCast, deriv.star, ContMDiffVectorBundle.pullback, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, Icc_isBoundaryPoint_bot, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, fderiv_add_const, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, gelfandStarTransform_naturality, Real.sinc_eq_dslope, ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero, HasFDerivAt.of_notMem_tsupport, HasFTaylorSeriesUpToOn.zero_eq', HarmonicAt.analyticAt_complex_partial, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, NormedSpace.Dual.toWeakDual_continuous, mdifferentiableWithinAt_section, HasFiniteFPowerSeriesAt.finite, fderiv_ofNat, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, FormalMultilinearSeries.id_apply_one', ContinuousMultilinearMap.norm_smulRightL_le, tensorIteratedFDerivTwo_eq_iteratedFDeriv, AnalyticOnNhd.iteratedFDeriv, NormedField.exists_nnnorm_lt_one, ContinuousLinearEquiv.contDiffAt_comp_iff, differentiableAt_smul_iff, ContinuousLinearMap.precompL_apply, DoubleCentralizer.nnnorm_snd, differentiableAt_comp_add_const, ContinuousLinearEquiv.isBigO_comp, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, ContinuousMultilinearMap.norm_mkPiAlgebra_le, fderivWithin_zero, Trivialization.contMDiffAt_iff, RCLike.reCLM_norm, differentiable_finCons', Real.hasDerivAt_arcosh, Complex.analyticWithinAt_cosh, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, mfderiv_comp_of_eq, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, iteratedFDerivWithin_succ_const, enorm_fderiv_norm_rpow_le, Real.iteratedDerivWithin_cos_Icc, dslope_eventuallyEq_slope_nhdsNE, trivialization_linear, formalMultilinearSeries_geometric_apply_norm_le, MDifferentiableWithinAt.prodMk_space, ContinuousLinearMap.hasFPowerSeriesAt, Bundle.Trivial.continuousLinearMapAt_trivialization, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, LinearMap.adjoint_toContinuousLinearMap, Trivialization.contMDiffOn_symm_trans, hasDerivAt_iff_isLittleO, HasDerivWithinAt.hasFDerivWithinAt, NormedSpace.isBounded_iff_subset_smul_closedBall, ContDiffAt.differentiableAt, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, hasStrictFDerivAt_pi', fderiv_eq_deriv_mul, HasFPowerSeriesOnBall.const_smul, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, ContinuousMultilinearMap.curry0_apply, hasFDerivAtFilter_sub_const_iff, norm_iteratedFDerivWithin_zero, iteratedFDerivWithin_of_isOpen, hasStrictFDerivAt_natCast, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, hasFDerivAtFilter_ofNat, hasFDerivAtFilter_zero, Polynomial.differentiableOn_aeval, analyticOnNhd_pi_iff, IsLocalExtr.lineDeriv_eq_zero, analyticAt_rexp, mdifferentiableAt_iff, extDeriv_fun_smul, fderivWithin_ccosh, ContinuousAlternatingMap.toAlternatingMap_curryLeft, ordinaryHypergeometricSeries_radius_eq_one, Complex.contDiff_cosh, MeromorphicAt.inv_iff, IsExtrOn.lineDerivWithin_eq_zero, iteratedDerivWithin_eq_iteratedFDerivWithin, contDiffAt_pi', ContinuousLinearMap.sSup_sphere_eq_nnnorm, NormedSpace.isClosed_polar, ContDiffAt.prodMap, VectorFourier.fourierPowSMulRight_eq_comp, Complex.analyticOn_cosh, ContinuousAlternatingMap.le_opNNNorm, HasFPowerSeriesOnBall.tendsto_partialSum_prod, NormedField.discreteTopology_or_nontriviallyNormedField, hasFDerivWithinAt_pi', ContinuousLinearMap.opNorm_mul, DoubleCentralizer.smul_toProd, mfderivWithin_projIcc_one, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, iteratedDerivWithin_eq_iterate, analyticOrderAt_eq_top, HasFDerivAt.arctan, PiTensorProduct.mapL_one, Real.analyticAt_sinh, Real.hasStrictDerivAt_arccos, DoubleCentralizer.toProdMulOpposite_injective, deriv_const_add', ContinuousLinearMap.norm_fst_le, hasFDerivAt_snd, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, Unitization.dist_inr, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, ContinuousLinearMap.le_opNorm, ImplicitFunctionData.range_leftDeriv, aemeasurable_lineDeriv_uncurry, Trivialization.contMDiff_iff, NormedSpace.exp_hasFPowerSeriesOnBall, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, Complex.hasDerivAt_GammaIntegral, NormedSpace.expSeries_summable, compactOperator_topologicalClosure, MeromorphicOn.divisor_natCast, ContMDiffAdd.contMDiff_add, PiTensorProduct.mapL_smul, MDifferentiableWithinAt.differentiableWithinAt_writtenInExtChartAt, MDifferentiableAt.differentiableAt, DoubleCentralizer.norm_def', Manifold.IsSmoothEmbedding.prodMap, differentiable_apply, derivWithin_univ, ContinuousLinearMap.fderiv, fderiv_neg, ValueDistribution.logCounting_top, MeasureTheory.convolution_smul, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, binomialSeries_radius_eq_one, meromorphicOrderAt_ne_top_iff, HasFPowerSeriesAt.differentiableAt, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, ContDiffAt.fst'', Trivialization.contMDiffOn_section_iff, ContinuousLinearMap.fpowerSeries_apply_zero, VectorPrebundle.mk_contMDiffCoordChange, Icc_isInteriorPoint_interior, derivWithin.fun_neg, Manifold.IsImmersionAtOfComplement.prodMap, PiTensorProduct.projectiveSeminorm_apply, ContinuousAffineMap.norm_def, iteratedDeriv_succ', Complex.analyticOn_sinh, iteratedDerivWithin_one, Diffeomorph.coe_prodCongr, ContinuousLinearMap.comp_memLp', SchwartzMap.fourier_lineDerivOp_eq, Manifold.IsImmersionAtOfComplement.map_target_subset_target, NormedField.exists_one_lt_enorm, meromorphicOrderAt_eq_top_iff, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, hasStrictDerivAt_exp_smul_const, isBoundedBilinearMap_comp, aestronglyMeasurable_lineDeriv, fderivWithin_sin, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, differentiable_euclidean, FormalMultilinearSeries.nnnorm_changeOrigin_le, hasStrictDerivAt_add_const_iff, Trivialization.continuousLinearEquivAt_apply, hasLineDerivWithinAt_smul_iff, MDifferentiable.const_smul, hasMFDerivAt_fst, mfderivWithin_comp_projIcc_one, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, FormalMultilinearSeries.rightInv_removeZero, isCompactOperator_iff_isCompact_closure_image_ball, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, DoubleCentralizer.norm_def, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', HasCompactSupport.fderiv, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, SchwartzMap.smulLeftCLM_real_smul, writtenInExtChart_prod, analyticOnNhd_rexp, hasFDerivWithinAt_intCast, Bundle.contMDiffAt_zeroSection, contDiff_succ_iff_fderiv, ModelWithCorners.prod_target, ContinuousLinearMap.opNNNorm_prod, ContinuousLinearEquiv.comp_differentiableOn_iff, contMDiffAt_mulInvariantVectorField, hasDerivAtFilter_zero, HasMFDerivAt.neg, contDiffAt_piLp_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, MDifferentiable.prodMap, deriv.fun_neg', Manifold.pathELength_def, WeakDual.toStrongDual_inj, ContinuousLinearMap.uniformContinuous_restrictScalars, IccLeftChart_extend_interior_pos, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, equivTangentBundleProd_apply, norm_lineDeriv_le_of_lipschitz, isModuleTopologyOfFiniteDimensional, NormedField.exists_norm_lt_one, LinearIsometryEquiv.fderiv, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, ContinuousLinearMap.holderₗ_apply_apply, contMDiffWithinAt_prod_module_iff, hasFDerivAt_add_const_iff, dslope_sub_smul, hasDerivAt_id', ContinuousMultilinearMap.unit_le_opNorm, ContinuousMultilinearMap.curryRight_norm, hasDerivWithinAt_Iic_of_tendsto_deriv, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, fderiv.log, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, MeasureTheory.convolution_lsmul, Real.contDiffAt_sqrt, hasFDerivAt_sub_const_iff, ModelWithCorners.uniqueDiffOn_preimage, hasDerivAt_abs_neg, ContinuousLinearMap.isCompact_image_coe_closedBall, Real.deriv_sqrt_aux, iteratedFDeriv_add_apply, deriv_fderiv, RegularNormedAlgebra.isometry_mul', FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq, ContinuousLinearMap.isClosed_image_coe_closedBall, DoubleCentralizer.central, ModelWithCorners.hasMFDerivAt, HasFPowerSeriesOnBall.coeff_zero, FormalMultilinearSeries.norm_apply_eq_norm_coef, hasFDerivAtFilter_const, VectorBundleCore.localTriv_symm_fst, HasFPowerSeriesWithinOnBall.differentiableOn, HasMFDerivWithinAt.prodMap, mdifferentiableAt_addInvariantVectorField, NormedField.exists_nnnorm_lt, hasDerivWithinAt_abs, hasFPowerSeriesOnBall_const, tendsto_cobounded_of_meromorphicOrderAt_neg, hasFDerivAtFilter_iff_isLittleO, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le, ContDiff.prodMk, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, contDiff_apply, Trivialization.comp_continuousLinearEquivAt_eq_coord_change, UniqueMDiffOn.uniqueDiffOn_target_inter, VectorFourier.hasFDerivAt_fourierIntegral, ContMDiff.contMDiff_tangentMap, Valued.integer.exists_norm_lt_one, NormedField.exists_lt_enorm, iteratedFDeriv_sum, hasFDerivAt_ringInverse, ContinuousMultilinearMap.opNorm_smul_le, contDiffAt_one_iff, Filter.HasBasis.isLittleOTVS_iff, MeasureTheory.convolution_precompR_apply, HasFDerivWithinAt.of_notMem_tsupport, WeakDual.coe_toStrongDual, hasFDerivAt_finCons, Matrix.linfty_opNNNorm_eq_opNNNorm, HasMFDerivWithinAt.neg, hasFDerivWithinAt_finCons, InformationTheory.hasDerivAt_klFun, contMDiff_coe_sphere, Complex.analyticAt_sin, stronglyMeasurable_lineDeriv, ContinuousMultilinearMap.norm_restr, ContinuousMultilinearMap.norm_image_sub_le, LinearIsometry.norm_toContinuousLinearMap, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, hasMFDerivAt_inr, differentiable_snd, LeftInvariantDerivation.comp_L, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, fderivWithin_eventually_congr_set', intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, ContinuousAlternatingMap.curryLeft_apply_apply, ContinuousLinearMap.flip_smul, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, mfderivWithin_sumInr, MeromorphicOn.divisor_inv, Bundle.Trivial.vectorBundle, ContinuousLinearEquiv.isBigO_sub, HasFDerivAt.isBigOTVS_sub, MeromorphicOn.id, HasCompactSupport.hasDerivAt_convolution_right, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, Module.Basis.constrL_apply, differentiableWithinAt_pow, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, NormedSpace.norm_expSeries_summable, ContinuousLinearEquiv.hasMFDerivAt, MeasureTheory.ConvolutionExistsAt.integrable_swap, Polynomial.deriv_aeval, VectorBundleCore.trivializationAt_coordChange_eq, DoubleCentralizer.nnnorm_def, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.measurable_apply₂, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, continuousOn_tangentCoordChange, LinearMap.hasStrictDerivAt, LinearIsometryEquiv.contDiff, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, ContDiff.continuous_fderiv_apply, AffineMap.hasDerivAt_lineMap, Function.hasTemperateGrowth_iff_isBigO, minSmoothness_eq_infty, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasGradientAtFilter.hasDerivAtFilter', differentiableOn_dslope_of_notMem, IsLocalExtr.fderiv_eq_zero, mdifferentiableAt_fst, intervalIntegral.integral_hasDerivWithinAt_left, HasFPowerSeriesOnBall.fderiv_eq, MeromorphicOn.fun_deriv, mfderivWithin_comp_of_preimage_mem_nhdsWithin_of_eq, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, analyticOnNhd_snd, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, Meromorphic.MeromorphicOn.countable_compl_analyticAt, differentiableAt_star_iff, VectorBundle.trivialization_linear', PiTensorProduct.projectiveSeminorm_tprod_le, Real.smoothTransition.contDiffAt, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', AffineMap.hasDerivWithinAt_lineMap, MDifferentiableOn.prodMk, ContDiffBump.contDiff, hasFDerivAt_of_subsingleton, aestronglyMeasurable_deriv, Real.hasDerivWithinAt_arccos_Ici, PiTensorProduct.tprodL_toFun, ContinuousLinearMap.nnnorm_toSpanSingleton, ContinuousLinearEquiv.hasMFDerivWithinAt, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, Asymptotics.isLittleOTVS_fun_neg_left, TestFunction.postcompCLM_apply, MDifferentiableAt.prodMap', hasDerivAt_iff_tendsto_slope_left_right, deriv_id'', HasFTaylorSeriesUpToOn.hasFDerivWithinAt, Asymptotics.isBigOTVS_iff_smallSets, ContinuousAlternatingMap.norm_restrictScalars, ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, MeasureTheory.convolutionExistsAt_flip, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, AnalyticWithinAt.prod, ContinuousLinearMap.opNorm_mul_apply, ContinuousLinearMap.norm_smulRightL, FiniteDimensional.of_locallyCompact_manifold, deriv_const_mul_field', mfderiv_comp_mfderivWithin, Function.FactorizedRational.mulSupport, ContinuousLinearEquiv.comp_fderiv, derivWithin.neg, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, ContinuousLinearMap.isBigO_id, ContMDiffAt.prodMap, ContDiffAt.fderiv_right, Complex.differentiable_exp, AnalyticOn.compContinuousLinearMap, hasStrictFDerivAt_iff_isLittleO, MeasureTheory.convolution_def, contMDiffWithinAt_pi_space, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, HasStrictFDerivAt.of_notMem_tsupport, HasDerivAt.hasFDerivAt, contDiff_update, HasFPowerSeriesOnBall.differentiableOn, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, deriv.neg, ContinuousMultilinearMap.uncurry0_norm, hasMFDerivWithinAt_inr, HasFPowerSeriesWithinOnBall.prod, mdifferentiableAt_totalSpace, deriv_zero, ContinuousMultilinearMap.le_opNorm, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Bundle.Trivial.linearMapAt_trivialization, mdifferentiableOn_fst, mdifferentiable_mulInvariantVectorField, ContinuousLinearMap.continuous_restrictScalars, hasStrictDerivAt_const_add_iff, iteratedFDeriv_const_smul_apply, isBoundedBilinearMap_compMultilinear, ContinuousLinearEquiv.comp_right_fderiv, hasLineDerivAt_smul_iff, differentiableOn_finCons', derivWithin_ofNat, Function.FactorizedRational.meromorphicOrderAt_eq, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, contDiff_prodMk_right, iteratedDeriv_fun_id_zero, HasFPowerSeriesOnBall.uniform_geometric_approx, DoubleCentralizer.neg_snd, contDiffOn_fst, mdifferentiableOn_prod_module_iff, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, MeromorphicOn.divisor_sub_const_self, Unitization.cobounded_eq_aux, ContinuousLinearMap.analyticAt, ContDiff.prodMap, iteratedFDeriv_succ_const, Asymptotics.isBigOTVS_fun_neg_left, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, iteratedDeriv_comp_sub_const, ContDiffAt.iteratedFDeriv_right, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, continuousWithinAt_dslope_of_ne, HasFTaylorSeriesUpToOn.cont, Asymptotics.isBigOTVS_fun_neg_right, measurable_deriv, Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm, AnalyticOnNhd.fderiv_of_isOpen, Module.Basis.coe_constrL, ContinuousAlternatingMap.le_opNorm, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, differentiableAt_apply, NormedSpace.expSeries_hasSum_exp, analyticOrderAt_ne_zero, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.flip_apply, tangentMapWithin_snd, WeakDual.CharacterSpace.homeoEval_naturality, CPolynomialOn.iteratedFDeriv, ContDiffWithinAt.prodMap, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, HasFPowerSeriesOnBall.sum, contDiffOn_stereoToFun, Complex.contDiffAt_log, Real.analyticAt_sin, Units.instIsManifoldModelWithCornersSelf, LeftInvariantDerivation.evalAt_coe, derivWithin_const_add, mfderivWithin_sumInl, fderiv_inverse, HasFPowerSeriesOnBall.fderiv, MDifferentiableAt.prodMk, lineDerivWithin_of_isOpen, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, iteratedFDeriv_const_smul_apply', FormalMultilinearSeries.compAlongComposition_nnnorm, PiLp.hasFDerivAt_toLp, PiTensorProduct.mapL_coe, analyticAt_smul, Diffeomorph.prodCongr_symm, Manifold.IsImmersionAt.writtenInCharts, ContinuousLinearMap.lipschitz, Polynomial.differentiable_aeval, DoubleCentralizer.range_toProd, fderiv_one, Trivialization.mdifferentiableAt_totalSpace_iff, hasDerivAt_deriv_iff, Complex.differentiable_iteratedDeriv_sin, LinearIsometry.norm_compContinuousMultilinearMap, Function.FactorizedRational.finprod_eq_fun, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, Real.analyticOnNhd_cosh, Complex.hasStrictDerivAt_sinh, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, UniqueDiffOn.of_real, ContMDiffOn.coordChangeL, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, ContDiff.fst', MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, Asymptotics.isBigOTVS_iff_isBigO, ContinuousMultilinearMap.isLeast_opNorm, ContDiff.continuous_fderiv, hasFDerivAt_id, meromorphicOrderAt_const_natCast, Real.hasDerivAt_qaryEntropy, continuousAt_dslope_same, spectralAlgNorm_mul, hasDerivAt_add_const_iff, mdifferentiable_fst, hasDerivWithinAt_pow, Submodule.closed_of_finiteDimensional, hasDerivWithinAt_iff_hasFDerivWithinAt, MeasureTheory.ae_ae_add_linearMap_mem_iff, MDifferentiableAt.differentiableWithinAt_writtenInExtChartAt, Monotone.ae_hasDerivAt, DoubleCentralizer.add_fst, differentiableWithinAt_of_derivWithin_ne_zero, MeromorphicOn.divisor_intCast, HasFPowerSeriesWithinAt.coeff_zero, ContDiffMapSupportedIn.uniformSpace_eq_iInf, hasFDerivAt_apply, derivWithin_div_const, PiTensorProduct.liftIsometry_tprodL, VectorField.mpullback_smul_apply, contDiffWithinAt_iff_of_ne_infty, NormedSpace.inclusionInDoubleDual_norm_le, mfderiv_sumInl, AnalyticOnNhd.eval_linearMap, LinearEquiv.coe_toContinuousLinearEquiv_symm, hasFTaylorSeriesUpToOn_pi', hasDerivWithinAt_one, mfderiv_sub, deriv_comp_add_const, VectorBundleCore.localTriv_symm_apply, WeakDual.isCompact_closedBall, ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, Real.abs_iteratedDeriv_cos_le_one, TangentBundle.trivializationAt_apply, PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm, TestFunction.coe_ofSupportedInCLM, Real.differentiableAt_rpow_of_ne, PointedContMDiffMap.smul_def, PiTensorProduct.bddBelow_projectiveSemiNormAux, modelWithCorners_prod_coe, Complex.iteratedDeriv_odd_sin, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, contMDiffOn_pi_space, ContinuousLinearMap.holder_smul_left, MeromorphicOn.isClopen_setOf_meromorphicOrderAt_eq_top, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, HarmonicAt.differentiableAt_complex_partial, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, tendsto_logDeriv_euler_sin_div, Bundle.TotalSpace.isManifold, isSymmSndFDerivAt_iff_iteratedFDeriv, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, MeromorphicOn.analyticAt_mem_codiscreteWithin, ContinuousLinearEquiv.differentiableAt, logDeriv_sin_div_eq_cot, ContMDiffAt.mfderiv_const, AnalyticOn.domDomCongr_iteratedFDeriv, smoothSheafCommRing.isUnit_stalk_iff, ContMDiffSection.coe_smul, Real.iteratedDeriv_add_one_cosh, FormalMultilinearSeries.coeff_ofScalars, contMDiff_vectorSpace_iff_contDiff, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, mdifferentiableAt_snd, ContinuousLinearMap.ratio_le_opNorm, fderivWithin_sub_const, mfderiv_prodMap, iteratedFDerivWithin_eq_equiv_comp, spectralMulAlgNorm_def, DifferentiableAt.isBigOTVS_sub, hasFDerivAt_prodMk_left, MeromorphicOn.fun_iterated_deriv, HasCompactSupport.hasFDerivAt_convolution_right, frontier_range_modelWithCornersEuclideanHalfSpace, meromorphicOrderAt_id, ContDiffMapSupportedIn.structureMapCLM_zero_apply, FormalMultilinearSeries.mkPiRing_coeff_eq, differentiableAt_inv_iff, Real.iteratedDeriv_add_one_sinh, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, SchwartzMap.norm_iteratedFDeriv_le_seminorm, LinearMap.deriv, VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas, uniqueDiffWithinAt_convex_of_isRCLikeNormedField, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, HasFDerivWithinAt.inner, EuclideanSpace.instIsManifoldSphere, DoubleCentralizer.smul_fst, norm_fderiv_le_of_lipschitz, hasFDerivWithinAt_finCons', Complex.logDeriv_sin, TangentBundle.coordChange_model_space, fderivWithin_cos, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderiv, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, ContMDiffWithinAt.prodMk_space, ContinuousLinearMap.isBoundedBilinearMap, fdifferential_apply, ContinuousMultilinearMap.opNorm_nonneg, HasFPowerSeriesWithinOnBall.sum, fderivWithin_const_add, Real.hasStrictDerivAt_arcosh, Filter.EventuallyEq.iteratedFDerivWithin, Filter.EventuallyEq.lineDerivWithin_eq_nhds, compContinuousLinearMap_zero, HasLineDerivWithinAt.smul, MeromorphicOn.divisor_sub_const_of_ne, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, FormalMultilinearSeries.le_radius_compContinuousLinearMap, continuousMultilinearCurryFin0_symm_apply, ContinuousLinearEquiv.integrable_comp_iff, ProperSpace.of_nontriviallyNormedField_of_weaklyLocallyCompactSpace, Asymptotics.isBigOTVS_congr, fderivWithin_ccos, Asymptotics.isBigOTVS_neg_right, MDifferentiableOn.coordChangeL, hasDerivAt_update, ContinuousAlternatingMap.ofSubsingletonLIE_apply, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, UniqueMDiffWithinAt.bundle_preimage', FormalMultilinearSeries.compAlongComposition_bound, iteratedDeriv_fun_id, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, ContinuousLinearMap.lipschitz_apply, Trivialization.prod.isLinear, AnalyticWithinAt.differentiableWithinAt, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, Complex.logDeriv_exp, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, inTangentCoordinates_eq, AnalyticAt.prod, FormalMultilinearSeries.radius_smul_eq, ContinuousLinearMap.bilinearComp_zero_right, IsContMDiffRiemannianBundle.exists_contMDiff, ModelWithCorners.prod_symm_apply, deriv_const_mul_field, BaireSpace.instBarrelledSpace, hasDerivAtFilter_add_const_iff, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, hasDerivAt_jacobiTheta₂_fst, MDifferentiableAt.const_smul, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, contMDiff_snd, IsExtrOn.lineDeriv_eq_zero, contMDiffAt_prod_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, contMDiffAt_coordChangeL, meromorphicNFAt_inv, tangentMap_prodSnd, contMDiff_subtype_coe_Icc, Real.hasDerivAt_arcsin, coe_lpBCFₗᵢ, ContinuousAffineMap.norm_contLinear_le, Trivialization.symmL_continuousLinearMapAt, AnalyticOn.pi, FiniteDimensional.of_isCompact_closedBall₀, Complex.hasDerivAt_sinh, spectralNorm.spectralNorm_pow_natDegree_eq_prod_roots, LinearIsometryEquiv.comp_differentiableOn_iff, LinearIsometryEquiv.comp_differentiableAt_iff, differentiable_inner, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, Real.analyticOn_arcosh, HasLineDerivAt.tendsto_slope_zero_left, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, tendsto_nhds_iff_meromorphicOrderAt_nonneg, ContDiffWithinAt.continuousLinearMap_comp, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, ContinuousAlternatingMap.norm_ofSubsingleton, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', hasStrictFDerivAt_finCons, MDifferentiableWithinAt.coordChangeL, Diffeomorph.mfderivToContinuousLinearEquiv_coe, Meromorphic.countable_compl_analyticAt, ContMDiffAt.prodMk_space, ContinuousLinearMap.coe_flipₗᵢ', HasMFDerivAt.prodMap, Real.contDiffAt_log, PiTensorProduct.norm_eval_le_injectiveSeminorm, deriv_inv, ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three, contDiffOn_succ_iff_fderiv_of_isOpen, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, hasDerivAt_const, dslope_sub_smul_of_ne, deriv_add_const', HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, fderiv_const_add, hasFDerivWithinAt_const_add_iff, UniformSpace.Completion.norm_toComplL, ContDiffOn.differentiableOn, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, Units.instLieGroupModelWithCornersSelf, ModelWithCorners.prod_source, Complex.hasDerivAt_Gammaℂ_one, Complex.analyticOnNhd_sin, Complex.hasStrictDerivAt_const_cpow, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, ContinuousMultilinearMap.analyticAt, hasMFDerivAt_id, MDifferentiable.differentiable, ContinuousMultilinearMap.prodL_apply, FormalMultilinearSeries.radius_inv_eq_limsup, Real.hasStrictDerivAt_log, IsMinOn.lineDerivWithin_eq_zero, hasFDerivWithinAt_iff_hasDerivWithinAt, mdifferentiableWithinAt_iff_image, Real.iteratedDeriv_add_one_cos, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousLinearMap.coe_flipMultilinearEquiv, NonUnitalAlgHom.coe_Lmul, ContinuousMultilinearMap.norm_map_init_le, hasMFDerivWithinAt_id, LeftInvariantDerivation.left_invariant'', ContinuousAlternatingMap.hasStrictFDerivAt, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', InnerProductSpace.laplacian_smul, hasStrictFDerivAt_iff_hasStrictDerivAt, contDiff_nat_iff_iteratedDeriv, VectorField.mpullback_apply, fderiv_mem_iff, iteratedFDeriv_neg_apply, VectorField.lieBracket_eq, fderiv_norm_smul_neg, hasMFDerivWithinAt_fst, ContinuousLinearMap.coe_restrict_scalarsL', differentiableAt_fst, fderivWithin_fderivWithin_eq_of_eventuallyEq, NormedField.nhdsNE_neBot, DoubleCentralizer.star_fst, InnerProductSpace.laplacianWithin_smul, StrongDual.polarSubmodule_eq_polar, PiTensorProduct.liftEquiv_symm_apply, ContinuousLinearMap.fpowerSeries_apply_add_two, TestFunction.coe_ofSupportedInLM, mfderivWithin_eventually_congr_set', meromorphicOrderAt_inv, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, Asymptotics.isLittleOTVS_fun_neg_right, WithLp.contDiff_toLp, ContinuousMultilinearMap.opNorm_zero, MeromorphicAt.iterated_deriv, FormalMultilinearSeries.ofScalars_norm_le, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, IsLocalFrameOn.toBasisAt_coe, Submodule.norm_subtypeL, AffineSubspace.closed_of_finiteDimensional, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, contDiffAt_piLp', MDifferentiableOn.prodMap, hasFDerivAt_finCons', ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, contDiffPointwiseHolderAt_iff, contDiff_pi', IsContDiffImplicitAt.implicitFunction_apply, ContinuousLinearMap.aestronglyMeasurable_comp₂, differentiableWithinAt_comp_sub, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, mdifferentiableAt_prod_module_iff, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, AffineMap.hasDerivAt, ContinuousAffineMap.contDiff, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, tangentCoordChange_comp, Real.iteratedDerivWithin_sinh_Icc, Complex.differentiableAt_exp, LinearIsometry.norm_iteratedFDeriv_comp_left, LinearMap.range_toContinuousLinearMap, fderiv_const_smul_of_invertible, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, hasFDerivWithinAt_pow', ContDiffMapSupportedIn.structureMapLM_apply_withOrder, HasFTaylorSeriesUpToOn.continuousLinearMap_comp, AffineMap.differentiableAt, hasStrictDerivAt_finCons', Trivialization.contMDiffOn_localFrame_baseSet, MeromorphicOn.meromorphicNFAt_mem_codiscreteWithin, dist_iteratedFDerivWithin_zero, ContinuousLinearMap.hasFDerivAtFilter, meromorphicNFAt_iff_analyticAt_or, HasFPowerSeriesOnBall.hasSum, ContinuousLinearMap.isBoundedLinearMap_comp_right, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, NormedSpace.isVonNBounded_iff', WeakDual.isSeqCompact_closedBall, differentiableOn_fun_neg_iff, hasStrictDerivAt_finCons, PiTensorProduct.liftEquiv_apply, DoubleCentralizer.add_snd, has_antideriv_at_fourier_neg, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, fderivWithin_iteratedFDerivWithin, toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhds, ContinuousMultilinearMap.contDiff, WithSeminorms.uniformEquicontinuous_iff_bddAbove_and_continuous_iSup, LinearIsometry.toSpanSingleton_apply, hasFDerivAt_iff_tendsto, WeakDual.exists_countable_separating, mdifferentiable_iff, FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm, Orientation.areaForm'_apply, VectorBundleCore.coe_coordChange, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, AffineMap.lipschitzWith_of_finiteDimensional, mdifferentiableWithinAt_iff_differentiableWithinAt, Polynomial.hasFDerivAt, isOpen_setOf_affineIndependent, tendsto_zero_of_meromorphicOrderAt_pos, FormalMultilinearSeries.norm_compContinuousLinearMap_le, ContDiffWithinAt.prodMap', Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, Filter.EventuallyEq.hasLineDerivWithinAt_iff_of_mem, modelWithCorners_prod_coe_symm, differentiableOn_add_const_iff, DoubleCentralizer.norm_snd, Real.contDiff_arsinh, NormedField.exists_enorm_lt, IsContDiffImplicitAt.implicitFunctionData_pt, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, LinearEquiv.coe_toContinuousLinearEquiv', hasFDerivWithinAt_one, ContinuousLinearEquiv.nhds, ContinuousAlternatingMap.le_opNorm_mul_pow_of_le, MDifferentiable.prodMk_space, eqOn_dslope_slope, ContinuousLinearMap.opNorm_comp_le, contMDiff_smul, MeromorphicOn.divisor_ofNat, DoubleCentralizer.nnnorm_fst, ContinuousLinearMap.isUnit_iff_isUnit_toLinearMap, Real.contDiffAt_arcsin_iff, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Complex.hasDerivAt_cos, Valued.integer.norm_le_one, contMDiffOn_continuousLinearMapCoordChange, Function.FactorizedRational.meromorphicNFOn_univ, ContinuousMultilinearMap.curryFinFinset_apply_const, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, Module.Basis.exists_opNNNorm_le, aestronglyMeasurable_smul_const_iff, absConvexHull_add_subset, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, Convex.exists_forall_hasDerivWithinAt, PiTensorProduct.mapL_mul, hasDerivWithinAt_taylor_coeff_within, differentiableAt_comp_const_sub, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, hasFDerivAt_ofNat, Module.Basis.equivFunL_apply, hasFDerivAt_list_prod_finRange', ContDiffOn.differentiableOn_one, Bundle.mdifferentiableWithinAt_proj, Trivialization.continuousLinearEquivAt_apply', ContinuousMultilinearMap.flipLinear_apply_apply, contDiffOn_euclidean, mfderiv_add, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, IsLocalFrameOn.contMDiffOn, MeromorphicOn.inv_iff, FormalMultilinearSeries.comp_id, differentiableWithinAt_star_iff, ContinuousMultilinearMap.hasStrictFDerivAt, fderivWithin_comp_smul_eq_fderivWithin_smul, ContinuousLinearMap.isLeast_opNNNorm, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, hasFTaylorSeriesUpTo_succ_nat_iff_right, iteratedFDeriv_add, hasFDerivWithinAt_zero, meromorphicTrailingCoeffAt_const, HasFDerivWithinAt.norm_sq, ordinaryHypergeometric_radius_top_of_neg_nat₂, hasFDerivWithinAt_piLp, differentiableOn_piLp, Asymptotics.isLittleOTVS_iff_smallSets, hasDerivAt_fourier_neg, nhds_hasBasis_absConvex, HasFiniteFPowerSeriesOnBall.differentiableOn, norm_fderiv_norm_rpow_le, HasFPowerSeriesOnBall.neg, ContinuousLinearMap.uncurryBilinear_apply, VectorBundle.continuousOn_coordChange', ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, ContinuousLinearMap.mfderiv_eq, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, hasFDerivWithinAt_singleton, hasFDerivAt_const_add_iff, Real.iteratedDerivWithin_sin_Icc, LinearEquiv.coe_toContinuousLinearEquiv_symm', ContinuousAlternatingMap.isLeast_opNorm, SchwartzMap.fourierInv_lineDerivOp_eq, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, Real.iteratedDeriv_odd_sinh, iteratedFDeriv_eq_equiv_comp, Complex.hasStrictDerivAt_log, LinearMap.toContinuousLinearMap_eq_iff_eq_toLinearMap, meromorphicTrailingCoeffAt_inv, Unitization.norm_eq_sup, MeromorphicAt.id, Real.hasDerivAt_cos, ContinuousMap.toLp_norm_eq_toLp_norm_coe, mfderivWithin_comp_of_preimage_mem_nhdsWithin, MDifferentiableWithinAt.prodMk, hasFTaylorSeriesUpToOn_succ_nat_iff_right, hasDerivAtFilter_iff_isLittleO, PiTensorProduct.mapL_comp, MeromorphicAt.eventually_continuousAt, differentiableOn_pow, isCompactOperator_iff_image_closedBall_subset_compact, analyticOnNhd_cexp, fderiv_cos, HasFPowerSeriesWithinAt.sub, FormalMultilinearSeries.isLittleO_one_of_lt_radius, hasDerivAt_exp_smul_const, NormedSpace.algebraMap_exp_comm, Bundle.contMDiffWithinAt_totalSpace, Asymptotics.isBigOTVS_neg_left, mdifferentiableOn_iff_of_subset_source, ContDiff.comp_continuousLinearMap, exists_dual_vector, hasFDerivWithinAt_comp_smul_smul_iff, differentiableAt_const_add_iff, ProbabilityTheory.hasDerivAt_complexMGF, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, stronglyMeasurable_lineDeriv_uncurry, DifferentiableWithinAt.isBigOTVS_sub, LinearMap.isPositive_toContinuousLinearMap_iff, ContinuousLinearMap.norm_def, meromorphicNFOn_inv, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, LinearIsometryEquiv.analyticWithinAt, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', HasFPowerSeriesAt.apply_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', fderivWithin_zero_of_notMem_closure, derivWithin_mul_const_field, logDeriv_apply, ContinuousLinearMap.le_opNorm_of_le, ContinuousMultilinearMap.opNorm_pi, ContinuousLinearEquiv.lipschitz, Diffeomorph.coe_prodComm, Real.hasDerivWithinAt_arcsin_Ici, OpenPartialHomeomorph.MDifferentiable.comp_symm_deriv, UniqueDiffWithinAt.smul_iff, HasStrictFDerivAt.arctan, hasMFDerivAt_inl, HasStrictDerivAt.hasStrictFDerivAt, differentiableAt_finCons, NormedSpace.equicontinuous_TFAE, ContinuousLinearMap.differentiable, hasDerivAt_taylorWithinEval_succ, IsMIntegralCurveAt.hasMFDerivAt, LinearEquiv.toLinearEquiv_toContinuousLinearEquiv, contDiffWithinAt_succ_iff_hasFDerivWithinAt', IsLocalFrameOn.eventually_eq_sum_coeff_smul, FiniteDimensional.of_isCompact_closedBall, Bundle.mdifferentiableOn_proj, Filter.EventuallyEq.iteratedFDerivWithin', contDiffOn_succ_iff_hasFDerivWithinAt, fderivWithin_add_const, NormedSpace.expSeries_radius_eq_top, differentiableWithinAt_euclidean, ContinuousLinearMap.opNorm_add_le, ContMDiffOn.prodMk_space, ContinuousLinearMap.sSup_sphere_eq_norm, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, DoubleCentralizer.neg_toProd, FormalMultilinearSeries.radius_unshift, HasFPowerSeriesAt.fderiv_eq, MeromorphicOn.divisor_apply, hasStrictFDerivAt_zero, ContinuousLinearMap.coe_restrictScalarsIsometry, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, contDiff_apply_apply, ContinuousLinearMap.norm_inr, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, ContinuousLinearMap.differentiableWithinAt, continuousMultilinearCurryFin0_apply, PiTensorProduct.dualSeminorms_bounded, FormalMultilinearSeries.radius_neg, VectorPrebundle.pretrivialization_linear', Function.FactorizedRational.analyticAt, extDeriv_smul, Complex.contDiff_exp, ContinuousMultilinearMap.curryMidEquiv_apply, ApproximatesLinearOn.lipschitz_sub, ContinuousMultilinearMap.iteratedFDeriv_eq, FormalMultilinearSeries.le_mul_pow_of_radius_pos, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, fderiv_sub_const, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, MDifferentiableAt.mfderiv, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, fderiv_exp, DoubleCentralizer.algebraMap_snd, WeakDual.polar_def, Real.analyticOnNhd_arsinh, ContinuousLinearMap.differentiableAt, fderiv_arctan, fderivWithin_const, MonotoneOn.derivWithin_nonneg, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, Real.analyticAt_arcosh, contDiffAt_inv, iteratedFDerivWithin_succ_apply_left, NormedField.exists_one_lt_nnnorm, hasStrictFDerivAt_norm_sq, HasCompactMulSupport.eq_one_or_finiteDimensional, LinearIsometryEquiv.comp_differentiableWithinAt_iff, support_deriv_subset, DoubleCentralizer.one_snd, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, ContinuousMultilinearMap.norm_mkPiAlgebra, cobounded_neBot, contDiffOn_infty_iff_fderiv_of_isOpen, hasDerivWithinAt_natCast, hasFDerivWithinAt_tangentCoordChange, Real.contDiff_sin, equivTangentBundleProd_symm_apply_snd, ContinuousLinearEquiv.analyticOn, ContinuousMultilinearMap.opNorm_add_le, fderiv_pow_ring', ContinuousLinearMap.bilinearComp_apply, differentiableAt_piLp, differentiableWithinAtProp_self_source, iteratedDeriv_comp_neg, fderiv_natCast, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, logDeriv_id, MDifferentiableWithinAt.mfderivWithin, NormedField.exists_enorm_lt_one, upperHemicontinuous_quasispectrum, OpenPartialHomeomorph.MDifferentiable.mfderiv_bijective, fderiv_const, Polynomial.differentiableAt_aeval, Filter.EventuallyEq.lineDifferentiableWithinAt_iff_of_mem, ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply, WeakDual.CharacterSpace.compContinuousMap_apply, WithLp.contDiff_ofLp, hasDerivAt_id, differentiable_pi, contDiff_smul_const, HasFTaylorSeriesUpToOn.fderivWithin, Real.hasDerivAt_rpow_const, IsMinOn.lineDeriv_eq_zero, ContinuousLinearEquiv.hasFDerivWithinAt, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, ContinuousMultilinearMap.isLeast_opNNNorm, DoubleCentralizer.algebraMap_toProd, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, FiniteDimensional.of_locallyCompactSpace, contDiff_piLp, FormalMultilinearSeries.id_comp, fderivWithin.log, ContinuousLinearMap.norm_map_tail_le, aestronglyMeasurable_lineDeriv_uncurry, deriv_update, HasFPowerSeriesAt.restrictScalars, contMDiffOn_symm_coordChangeL, hasDerivAt_integral_of_dominated_loc_of_deriv_le, tangentBundleCore_coordChange_model_space, IsLocalFrameOn.contMDiffAt, Real.differentiable_iteratedDeriv_cos, Polynomial.hasFDerivAt_aeval, DoubleCentralizer.instIsCentralScalar, NormedField.continuousAt_inv, NormedSpace.polar_closure, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, MeasureTheory.MemLp.continuousLinearMap_comp, norm_fderiv_iteratedFDeriv, binomialSeries_radius_eq_top_of_nat, MeasureTheory.Lp.norm_constL_le, Asymptotics.isLittleOTVS_map, ContMDiffOn.prodMap, IccLeftChart_extend_bot, conformalFactorAt_inner_eq_mul_inner', hasFDerivAtFilter_snd, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, ContMDiffRing.contMDiff_mul, hasFDerivAt_pow, LinearIsometryEquiv.analyticOn, LinearIsometryEquiv.analyticAt, contMDiff_prod_iff, Matrix.l2_opNNNorm_def, hasMFDerivAt_const, ContinuousMultilinearMap.instIsBoundedSMul, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, hasDerivAtFilter_sub_const_iff, ContinuousLinearMap.integrable_comp, ImplicitFunctionData.differentiableAt_implicitFunction, FiberBundle.extChartAt, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, dslope_same, hasDerivAt_exp, Complex.analyticOn_cos, hasFDerivAt_single, LeftInvariantDerivation.coe_add, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, Complex.hasDerivAt_logTaylor, Real.hasStrictDerivAt_arsinh, VectorField.mpullbackWithin_smul_apply, iter_deriv_pow', ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, HasMFDerivWithinAt.sum, Asymptotics.isLittleOTVS_iff_isLittleO, WithSeminorms.equicontinuous_TFAE, ImplicitFunctionData.hasStrictFDerivAt, UniqueMDiffWithinAt.uniqueDiffWithinAt, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, HasFTaylorSeriesUpToOn.hasFDerivAt, mfderiv_prod_right, LinearIsometry.norm_toContinuousLinearMap_comp, hasStrictFDerivAt_inv, MeromorphicAt.eventually_analyticAt, AnalyticWithinAt.pi, ContinuousLinearMap.isBigOWith_comp, ContinuousLinearMap.flip_add, contDiffAt_apply, hasFiniteFPowerSeriesAt_const, continuous_clm_apply, MeromorphicOn.eventually_codiscreteWithin_analyticAt, LinearIsometry.coe_toSpanSingleton, Real.contDiff_cos, ContinuousLinearEquiv.isBigO_sub_rev, deriv_neg'', DoubleCentralizer.pow_toProd, measurable_fderiv_apply_const, IsLocalFrameOn.coeff_apply_of_notMem, VectorBundleCore.localTriv_coordChange_eq, ContinuousMultilinearMap.uncurryRight_apply, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', mfderivWithin_zero_of_not_mdifferentiableWithinAt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, fderiv_inv, MeromorphicAt.fun_deriv, ModelWithCorners.hasMFDerivWithinAt, tangentBundleCore_coordChange, derivWithin_comp_mul_left, MeasureTheory.L1.nnnorm_Integral_le_one, Manifold.riemannianEDist_def, hasDerivAt_circleMap, ContinuousLinearMap.bilinearComp_zero, IsContDiffImplicitAt.implicitFunctionData_rightFun_apply, dslope_of_ne, HasCompactSupport.eq_zero_or_finiteDimensional, iteratedDeriv_eq_equiv_comp, Real.iteratedDeriv_even_cos, ContinuousLinearEquiv.norm_symm_pos, ContinuousMultilinearMap.cpolynomialAt, analyticAt_fst, ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, PointedContMDiffMap.instIsScalarTowerSomeENatTop, iteratedDeriv_comp_const_add, Bundle.contMDiffWithinAt_proj, modelWithCornersEuclideanHalfSpace_zero, contDiffOn_fderiv_coord_change, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, HasFPowerSeriesWithinAt.differentiableWithinAt, ContinuousMultilinearMap.ratio_le_opNorm, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, ContinuousLinearMap.norm_extendTo𝕜'_bound, ModelWithCorners.boundary_of_boundaryless_left, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, Complex.iteratedDeriv_add_one_sinh, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, ContinuousMultilinearMap.integral_apply, HasFTaylorSeriesUpToOn.differentiableAt, hasDerivAt_iff_hasFDerivAt, HasFiniteFPowerSeriesOnBall.neg, derivWithin_intCast, HasGradientWithinAt.fderivWithin_apply, NormedField.exists_lt_norm, Complex.iteratedDeriv_even_cos, norm_derivWithin_eq_norm_fderivWithin, lineDifferentiableWithinAt_smul_iff, differentiableWithinAt_dslope_of_ne, iteratedFDeriv_zero_apply, WeakDual.isClosed_closedBall, contDiff_succ_iff_fderiv_apply, hasDerivAt_fourier, coe_lpPiLpₗᵢ, Submodule.complete_of_finiteDimensional, Complex.iteratedDeriv_add_one_sin, VectorBundleCore.localTriv_apply, LinearIsometry.inr_apply, fderiv_ccos, DoubleCentralizer.zero_fst, fderiv_update, ContinuousLinearMap.hasFDerivWithinAt, fdifferential_comp, modelWithCornersSelf_prod, Bundle.contMDiffAt_totalSpace, Diffeomorph.uniqueDiffOn_image, ContinuousLinearMap.le_opNorm₂, ContinuousLinearMap.lpPairing_eq_integral, Seminorm.continuous_iff, ContinuousLinearMap.norm_iteratedFDeriv_comp_left, ContinuousLinearMap.norm_uncurryMid, IsLocalFrameOn.linearIndependent, analyticWithinAt_fst, ContinuousLinearMap.opNorm_mul_le, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, hasFDerivAtFilter_fst, differentiableWithinAt_comp_add_right, ContinuousLinearMap.opNorm_subsingleton, hasStrictDerivAt_abs_neg, ContinuousLinearMap.holder_smul_right, NormedSpace.exp_hasFPowerSeriesAt_zero, Filter.EventuallyEq.fderiv, HasFPowerSeriesOnBall.tendstoUniformlyOn', HasFPowerSeriesWithinOnBall.const_smul, fderiv_apply_one_eq_deriv, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, HasFTaylorSeriesUpToOn.compContinuousLinearMap, hasFDerivAt_zero_of_eventually_const, MDifferentiableAt.prodMk_space, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_top, WithLp.analyticOn_toLp, ContinuousAlternatingMap.continuous_restrictScalars, HasFPowerSeriesOnBall.sub, ContDiffAt.snd', contDiffAt_succ_iff_hasFDerivAt, hasFDerivAt_const, HasFDerivAt.inner, meromorphicTrailingCoeffAt_id_sub_const, contDiffOn_piLp, MeasureTheory.Integrable.convolution_integrand, measurableSet_of_differentiableAt, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, fderivWithin_exp, ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, NormedSpace.vonNBornology_eq, Real.analyticWithinAt_cos, contDiff_add, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, ContinuousLinearMap.isometry_mul, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', ContinuousLinearMap.isOpen_injective, isCoveringMapOn_npow, mdifferentiableWithinAt_iff', ContDiff.continuous_iteratedFDeriv', logDeriv_id', Complex.analyticAt_sinh, LeftInvariantDerivation.coe_neg, Complex.hasStrictDerivAt_cos, Trivialization.contMDiffOn_section_baseSet_iff, StrongDual.toLpₗ_apply, UniqueMDiffOn.tangentBundle_proj_preimage, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, Valued.integer.coe_span_singleton_eq_closedBall, differentiable_const_add_iff, Polynomial.differentiableOn, IsLocalFrameOn.coeff_apply_zero_at, contMDiffWithinAt_comp_projIcc_iff, constFormalMultilinearSeries_apply_of_nonzero, HasFTaylorSeriesUpToOn.add, NormedSpace.norm_expSeries_summable', MeasureTheory.dist_convolution_le', formalMultilinearSeries_geometric_eq_ofScalars, AnalyticOnNhd.eval_polynomial, differentiableOn_neg, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, Asymptotics.IsBigO.hasFDerivWithinAt, LinearMap.continuous_of_nonzero_on_open, Complex.iteratedDeriv_add_one_cos, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, InnerProductSpace.innerSL_norm, differentiableAt_fun_neg_iff, SchwartzMap.le_seminorm, IsLocalDiffeomorph.mfderivToContinuousLinearEquiv_coe, DoubleCentralizer.nnnorm_fst_eq_snd, Unitization.norm_def, differentiableOn_neg_iff, ContinuousLinearMap.measurable_apply, deriv_neg', hasFDerivAtFilter_iff_isLittleOTVS, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, ContinuousMultilinearMap.norm_ofSubsingleton_id_le, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, ContDiff.fourierPowSMulRight, AnalyticAt.of_meromorphicOrderAt_pos, mdifferentiable_snd, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, eventually_norm_symmL_trivializationAt_comp_self_lt, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, mfderivWithin_const, Real.contDiffAt_rpow_const, hasStrictFDerivAt_pow', Polynomial.hasStrictDerivAt_aeval, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, mdifferentiableAt_prod_iff, VectorPrebundle.exists_coordChange, DoubleCentralizer.one_fst, Complex.digamma_def, ContinuousLinearMap.norm_extendTo𝕜', MDifferentiable.prodMk, OpenPartialHomeomorph.extend_prod, StrongDual.polar_univ, NormedAlgebra.instRegularNormedAlgebra, fderivWithin_eventually_congr_set, differentiableAt_iff_comp_const_sub, ContDiffMapSupportedIn.postcompCLM_apply, contMDiffWithinAt_fst, DoubleCentralizer.coeHom_apply, ContinuousAlternatingMap.curryLeft_zero, norm_lineDeriv_le_of_lipschitzOn, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ContinuousAlternatingMap.restrictScalarsLI_apply, fderivWithin_fun_const, Bundle.contMDiffOn_proj, ContinuousMultilinearMap.opNNNorm_prod, MDifferentiableWithinAt.differentiableWithinAt, ContinuousLinearEquiv.comp_right_differentiableOn_iff, OpenPartialHomeomorph.MDifferentiable.mfderiv_surjective, ContinuousLinearMap.opENorm_comp_le, Asymptotics.IsTheta.isThetaTVS, MeromorphicOn.countable_compl_analyticAt_inter, IsMaxOn.lineDerivWithin_eq_zero, ContMDiffWithinAt.prodMk, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, HasFPowerSeriesOnBall.tendsto_partialSum, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, hasMFDerivWithinAt_const, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, Bundle.contMDiff_proj, Manifold.IsImmersionOfComplement.ofOpen, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, HasFPowerSeriesOnBall.factorial_smul, ContinuousAlternatingMap.norm_image_sub_le', HasFPowerSeriesWithinAt.prod, ContMDiffMap.coe_smul, iteratedFDeriv_succ_apply_right, FormalMultilinearSeries.leftInv_coeff_one, ContinuousLinearMap.hasMFDerivAt, mdifferentiableOn_continuousLinearMapCoordChange, derivWithin_one, hasDerivAtFilter_intCast, fderiv_deriv, contMDiffOn_fst, Complex.hasStrictDerivAt_sin, hasFPowerSeriesAt_pi_iff, mfderivWithin_eq_fderivWithin, Module.Basis.continuous_toMatrix, NormedField.continuousAt_zpow, hasDerivWithinAt_univ, Asymptotics.isLittleOTVS_neg_right, LinearIsometryEquiv.hasFDerivAt, Complex.contDiffAt_tan, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, Complex.analyticWithinAt_sinh, differentiableAt_add_const_iff, ContinuousLinearEquiv.contDiffWithinAt_comp_iff, Diffeology.isPlot_iff_contDiff, uniqueMDiffWithinAt_iff, continuous_barycentric_coord, Complex.analyticOnNhd_cosh, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, deriv_sub_const, coord_norm', Trivialization.apply_eq_prod_continuousLinearEquivAt, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, ContinuousAlternatingMap.le_opNorm_mul_pow_card_of_le, contDiffAt_inner, contDiff_clm_apply_iff, HasFPowerSeriesAt.hasFDerivAt, WeakDual.isClosed_polar, hasStrictFDerivAt_finCons', norm_fderiv_norm, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, eventually_enorm_mfderiv_extChartAt_lt, QuadraticMap.lineDifferentiableAt, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, ContinuousLinearMap.hasStrictFDerivAt, contMDiffOn_prod_iff, PiLp.analyticOn_ofLp, DifferentiableWithinAtProp_self, LeftInvariantDerivation.map_smul, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, oneTangentSpaceIcc_def, IsSymmSndFDerivAt.iteratedFDeriv_cons, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, ContinuousLinearMap.comp_analyticOn, hasStrictDerivAt_const, contMDiffAt_section_of_mem_baseSet, ModelWithCorners.hasMFDerivWithinAt_symm, IccRightChart_extend_top_mem_frontier, Bundle.Trivial.trivialization.isLinear, ContinuousLinearMap.coeFn_compLpL, hasStrictFDerivAt_list_prod_attach', MDifferentiableOn.differentiableOn, deriv_single, stronglyMeasurable_deriv, StrongDual.norm_toLpₗ_le, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, hasFDerivWithinAt_euclidean, HasFPowerSeriesWithinAt.restrictScalars, DoubleCentralizer.sub_fst, tangentConeAt_real_subset_isRCLikeNormedField, Module.Basis.parallelepiped_eq_map, ContDiffMapSupportedIn.norm_apply_le_seminorm, contDiffOn_clm_apply, measurable_lineDeriv_uncurry, ContinuousLinearMap.le_opNNNorm, MeromorphicAt.frequently_eq_iff_eventuallyEq, FormalMultilinearSeries.id_apply_zero, SchwartzMap.hasDerivAt, hasFPowerSeriesOnBall_inv_one_sub, PiTensorProduct.mapLMultilinear_apply_apply, ContinuousLinearMap.uncurryMid_apply, hasFDerivAt_update, Complex.hasDerivAt_cosh, iteratedDeriv_eq_iterate, isBoundedBilinearMap_apply, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, fderiv_comp_add_right, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, hasFPowerSeriesOnBall_inverse_one_sub, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, RCLike.ofRealCLM_norm, Manifold.IsImmersionAt.prodMap, HasFPowerSeriesAt.eventually_differentiableAt, Submodule.ClosedComplemented.of_finiteDimensional, IsManifold.prod, ContinuousAffineMap.hasFDerivAtFilter, hasStrictFDerivAt_ringInverse, ContDiffOn.continuousOn_fderiv_of_isOpen, ContinuousLinearMap.mul_apply', ContDiffOn.continuousLinearMap_comp, ContDiffBump.contDiffAt, fderiv_zero_of_not_differentiableAt, MeromorphicNFOn.zero_set_eq_divisor_support, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, ContinuousLinearMap.opNorm_zero, MeasureTheory.convolution_lsmul_swap, MeromorphicOn.circleAverage_log_norm, Real.hasStrictDerivAt_arctan, HasFTaylorSeriesUpToOn.prodMk, Complex.contDiff_sinh, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, isSeparable_range_deriv, hasDerivAtFilter_finCons', mfderivWithin_prodMap, MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, PiLp.hasStrictFDerivAt_apply, hasStrictFDerivAt_fst, UniqueMDiffOn.uniqueDiffOn_inter_preimage, DoubleCentralizer.pow_fst, mdifferentiableWithinAt_iff_target_inter', PiLp.analyticOn_toLp, StrongDual.toLpₗ_of_not_memLp, PiTensorProduct.mapL_apply, analyticOrderAt_id, hasDerivWithinAt_finCons', ContinuousAffineMap.hasFDerivAt, deriv.fun_neg, Asymptotics.Filter.Tendsto.isBigOTVS_one, mfderiv_sumInr, ContinuousMultilinearMap.norm_iteratedFDeriv_le', support_iteratedFDeriv_subset, hasStrictFDerivAt_finset_prod, IsLocalMax.lineDeriv_eq_zero, instContMDiffInv₀ModelWithCornersSelf, fderiv_fun_neg, Valued.integer.norm_unit, Real.iteratedDeriv_odd_cosh, deriv_zpow, hasFDerivAt_comp_sub, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, SmoothBumpCovering.embeddingPiTangent_injOn, ContinuousAffineMap.norm_image_zero_le, StrongDual.mem_polarSubmodule, exists_dual_vector', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, Asymptotics.isLittleOTVS_comm, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, Real.analyticOn_sin, hasFPowerSeriesWithinAt_pi_iff, UniqueMDiffWithinAt.bundle_preimage, isCompactOperator_iff_isCompact_closure_image_closedBall, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, LinearMap.continuous_of_finiteDimensional, hasDerivAt_iff_isLittleO_nhds_zero, SchwartzMap.tsupport_smulLeftCLM_subset, HasMFDerivAt.sub, contMDiffAt_vectorSpace_iff_contDiffAt, eventually_norm_symmL_trivializationAt_lt, differentiableAt_comp_add_left, ContinuousMultilinearMap.le_opNorm_mul_pow_card_of_le, deriv_const, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, differentiableAt_euclidean, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, hasFDerivAtFilter_finCons, PiTensorProduct.liftIsometry_comp_mapL, ContinuousLinearMap.opNorm_le_iff, mdifferentiableOn_iff_of_mem_maximalAtlas', PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, Manifold.IsImmersion.prodMap, Bundle.mdifferentiableWithinAt_zeroSection, Real.hasDerivAt_cosh, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, tsupport_fderiv_subset, LeftInvariantDerivation.coe_smul, fderiv_id', differentiable_pow, uniqueMDiffWithinAt_iff_inter_range, mfderiv_snd, HasMFDerivWithinAt.add, HasCompactSupport.iteratedFDeriv, Asymptotics.IsBigOTVS.rfl, Set.EqOn.iteratedFDerivWithin, Complex.hasDerivAt_sin, ContinuousLinearEquiv.fderiv, ContinuousAlternatingMap.restrictScalarsCLM_apply, Asymptotics.IsLittleOTVS.bot, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, ContinuousLinearMap.isBigOTVS_comp, measurableSet_lineDifferentiableAt_uncurry, ContinuousLinearEquiv.mdifferentiableWithinAt, Manifold.IsImmersionAtOfComplement.of_opens, hfdifferential_apply, ContinuousLinearMap.NonlinearRightInverse.right_inv', ContinuousLinearEquiv.mdifferentiable, analyticOn_cexp, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, ContinuousLinearMap.opNorm_zero_iff, aemeasurable_lineDeriv, Real.hasDerivAt_fourierChar, ContinuousLinearMap.intervalIntegral_apply, AnalyticOnNhd.fderiv, hasDerivAt_intCast, LinearEquiv.coe_toContinuousLinearEquiv, PiTensorProduct.liftIsometry_symm_apply, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, differentiableOn_inverse, mdifferentiable_addInvariantVectorField, ContinuousLinearEquiv.comp_differentiableAt_iff, mfderiv_zero_of_not_mdifferentiableAt, deriv_one, Trivialization.continuousLinearEquivAt_prod, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, Filter.EventuallyEq.lineDifferentiableWithinAt_iff, iteratedFDeriv_succ_eq_comp_right, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, ContinuousMultilinearMap.changeOriginSeries_support, ContinuousLinearEquiv.comp_hasFDerivAt_iff', Asymptotics.isBigOTVS_fun_comm, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, ContDiffAt.prodMap', FormalMultilinearSeries.isLittleO_of_lt_radius, tsupport_iteratedFDeriv_subset, Complex.hasStrictDerivAt_exp, logDeriv_inv, Real.iteratedDerivWithin_sinh_Ioo, ContinuousMultilinearMap.hasFDerivAt, expNegInvGlue.contDiff, ODE.hasDerivWithinAt_picard_Icc, DoubleCentralizer.algebraMap_fst, differentiableOn_euclidean, mdifferentiableWithinAt_iff_of_mem_source', hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, nnnorm_fderiv_norm_rpow_le, hasFDerivWithinAt_natCast, Complex.hasStrictDerivAt_cosh, ContinuousLinearMap.mfderivWithin_eq, ContinuousMultilinearMap.nnnorm_ofSubsingleton, Real.contDiffOn_arccos, aemeasurable_deriv, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, ContDiff.continuous_iteratedFDeriv, mdifferentiableOn_iff_differentiableOn, modelWithCorners_prod_toPartialEquiv, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Real.hasDerivAt_Gamma_one_half, ImplicitFunctionData.range_rightDeriv, tangentCoordChange_self, toSpanSingleton_derivWithin, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, ContinuousAlternatingMap.isLeast_opNNNorm, ContinuousLinearMap.isEmbedding_restrictScalars, HasFiniteFPowerSeriesOnBall.eq_partialSum', mdifferentiableWithinAt_iff, LinearIsometry.enorm_toContinuousLinearMap, coe_lpBCFₗᵢ_symm, range_mfderiv_coe_sphere, MeromorphicOn.eventually_analyticAt_or_mem_compl, uniqueMDiffOn_iff_uniqueDiffOn, coe_lpPiLpₗᵢ_symm, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, differentiable_piLp, HasFPowerSeriesOnBall.pi, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, contDiffOn_piLp_apply, ContinuousMultilinearMap.piₗᵢ_symm_apply, ContDiff.iteratedFDeriv_right', Real.iteratedDeriv_even_sinh, ContinuousLinearMap.norm_id_le, deriv.neg', SchwartzMap.pairing_continuous_left, LinearEquiv.canLiftContinuousLinearEquiv, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, hasDerivAt_one, FormalMultilinearSeries.radius_shift, ContinuousLinearEquiv.comp_right_differentiableAt_iff, analyticOn_pi_iff, spectralNorm.spectralNorm_eq_norm_coeff_zero_rpow, fderivWithin_sqrt, fderivWithin_natCast, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, Complex.LogDeriv_exp, Valued.integer.exists_nnnorm_lt_one, ContinuousLinearEquiv.differentiableOn, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, ContinuousLinearEquiv.mfderiv_eq, hasDerivAt_const_mul, Trivialization.coe_continuousLinearEquivAt_eq, hasLineDerivAt_iff_tendsto_slope_zero, differentiableAt_comp_add_right, Real.contDiff_sinh, non_trivial, Trivialization.mdifferentiableWithinAt_section_iff, ContinuousLinearEquiv.comp_contDiffWithinAt_iff, ContinuousLinearMap.measurable_coe, ContinuousLinearMap.analyticOn, fderiv_sinh, ContinuousLinearMap.nndist_le_opNNNorm, contDiff_nat_iff_continuous_differentiable, hasFDerivAt_pow', SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, OrderedFinpartition.compAlongOrderFinpartition_apply, Trivialization.continuousLinearEquivAt_symm_apply, hasDerivAt_abs, mdifferentiableOn_coordChangeL, HasFiniteFPowerSeriesOnBall.add, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, ContDiffAt.iteratedFDeriv_comp_perm, Polynomial.hasDerivAt, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, VectorPrebundle.mk_coordChange, ContinuousLinearMap.opNorm_lsmul_le, MeromorphicNFAt.eventuallyEq_nhdsNE_iff_eventuallyEq_nhds, hasFDerivWithinAt_comp_add_right, interior_range_modelWithCornersEuclideanHalfSpace, ExistsContDiffBumpBase.y_smooth, WeakDual.CharacterSpace.norm_le_norm_one, Bundle.contMDiff_zeroSection, contDiff_inner, Matrix.linfty_opNorm_toMatrix, hasDerivAt_natCast, NormedField.exists_one_lt_norm, ContinuousMultilinearMap.opNNNorm_pi, Real.hasDerivAt_Gamma_one, FiberBundle.extChartAt_target, Real.fourier_bilin_convolution_eq_integral, IsContDiffImplicitAt.contDiffAt, contMDiffAt_localFrame_of_mem, Real.hasStrictDerivAt_cos, ContinuousLinearMap.coe_restrictScalarsL, iter_deriv_inv, HasMFDerivAt.comp_hasMFDerivWithinAt, ContinuousLinearMap.norm_compL_le, AnalyticAt.differentiableAt, formalMultilinearSeries_geometric_radius, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, ContMDiffVectorBundle.contMDiffOn_coordChangeL, EulerSine.antideriv_cos_comp_const_mul, deriv_natCast, Filter.EventuallyEq.fderivWithin', mdifferentiableWithinAt_snd, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, ContinuousLinearMap.inCoordinates_eq, mfderiv_prodMk, lineDerivWithin_congr_set, HasFPowerSeriesAt.sub, hasMFDerivWithinAt_snd, ProperSpace.of_locallyCompact_module, ContDiffAt.continuousLinearMap_comp, ContinuousMultilinearMap.norm_domDomCongr, hasDerivWithinAt_zpow, HasFDerivWithinAt.arctan, contMDiff_prod_module_iff, Monotone.deriv_nonneg, Real.contDiff_arctan, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, NormedField.v_eq_valuation, HasCompactSupport.fderiv_apply, lineDerivWithin_of_mem_nhds, mdifferentiableAt_section, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt', ContinuousMultilinearMap.curry0_norm, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, ContinuousLinearMap.norm_fst, ContinuousAlternatingMap.nnnorm_toContinuousMultilinearMap, Real.iteratedDeriv_add_one_sin, Real.differentiable_iteratedDeriv_sin, OrderedFinpartition.applyOrderedFinpartition_apply, HasFPowerSeriesOnBall.hasFDerivAt, differentiableAt_neg_iff, ContinuousLinearMap.opNNNorm_comp_le, Bundle.mdifferentiable_proj, ContinuousMultilinearMap.analyticOn, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, fderivWithin_csin, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, PiTensorProduct.mapL_opNorm, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, iter_deriv_inv', MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, analyticOn_inv, intervalIntegral.fderivWithin_integral_of_tendsto_ae, hasStrictFDerivAt_one, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, contDiff_single, HasStrictFDerivAt.isBigOTVS_sub, DoubleCentralizer.mul_fst, ModelWithCorners.boundary_of_boundaryless_right, Real.iteratedDeriv_even_sin, iteratedFDeriv_zero_fun, ContinuousLinearEquiv.comp_contDiffOn_iff, ModelWithCorners.convex_range', NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MDifferentiableAt.coordChangeL, Manifold.IsImmersionAt.target_subset_preimage_target, EulerSine.antideriv_sin_comp_const_mul, hasFDerivAt_sub_const, Real.analyticOnNhd_cos, ModelWithCorners.range_eq_univ_prod, ContinuousLinearMap.norm_restrictScalars, ModelWithCorners.prod_apply, Diffeology.IsPlot.contDiff, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, Pretrivialization.continuousLinearMap_apply, derivWithin_sub_const_fun, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedSpace.sInter_polar_eq_closedBall, hasFDerivWithinAt_fst, ModelWithCorners.transContinuousLinearEquiv_range, hasFDerivAt_natCast, FormalMultilinearSeries.analyticAt_changeOrigin, expNegInvGlue.contDiff_polynomial_eval_inv_mul, DoubleCentralizer.coe_eq_algebraMap, ContinuousLinearMap.opNorm_mul_apply_le, hasFDerivAt_intCast, PiTensorProduct.tprodL_apply, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, HasFPowerSeriesAt.tendsto_partialSum, Diffeomorph.uniqueDiffOn_preimage, deriv_pow_field, SmoothBumpCovering.embeddingPiTangent_injective, contDiff_one_iff_hasFDerivAt, HasFiniteFPowerSeriesAt.add, MeromorphicOn.min_divisor_le_divisor_add, HasFPowerSeriesAt.eventually_hasSum_sub, deriv_comp_neg, Polynomial.hasDerivAt_aeval, ContinuousLinearMap.comp_cpolynomialOn, ContMDiffSection.contMDiff, ContinuousLinearMap.opNorm_smul_le, MeasureTheory.L1.norm_setToL1_le', Asymptotics.isLittleOTVS_congr, contDiff_mul, hasDerivAt_gronwallBound, fderiv_zero, hasDerivWithinAt_const_add_iff, PiLp.contDiff_ofLp, MeasureTheory.convolutionExistsAt_iff_integrable_swap, ContinuousMultilinearMap.le_opNorm_mul_prod_of_le, PiLp.hasFDerivAt_ofLp, norm_iteratedFDeriv_one, VectorField.mpullback_smul, hasDerivAt_ofReal_cpow_const, LinearIsometryEquiv.comp_differentiable_iff, IsManifold.mem_maximalAtlas_prod, analyticOnNhd_fst, hasDerivAt_norm_rpow, hasFDerivAtFilter_id, iteratedFDerivWithin_eventually_congr_set', ContinuousMultilinearMap.analyticOnNhd, LeftInvariantDerivation.map_sub, ContDiffAt.fst', ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, contMDiff_equivTangentBundleProd, differentiableAt_finCons', Unitization.isUniformEmbedding_addEquiv, differentiableWithinAt_inverse, ContinuousMultilinearMap.compContinuousLinearMapL_apply, VectorBundleCore.inCoordinates_eq, HasFDerivWithinAt.unique_on, Real.contDiff_cosh, MeromorphicOn.extract_zeros_poles, VectorField.pullbackWithin_eq, ContinuousLinearMap.norm_bilinearRestrictScalars, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, LeftInvariantDerivation.map_neg, derivWithin_fun_const, ContinuousLinearMap.norm_inl, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, ContinuousLinearEquiv.comp_differentiable_iff, Real.analyticAt_arsinh, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, HasFPowerSeriesWithinOnBall.neg, norm_deriv_eq_norm_fderiv, Trivialization.symm_continuousLinearEquivAt_eq, DoubleCentralizer.zero_toProd, Trivialization.contMDiffWithinAt_iff, UniqueMDiffOn.bundle_preimage, ContinuousLinearMap.bilinearComp_zero_left, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, hasFPowerSeriesWithinOnBall_pi_iff, hasDerivAt_zero, SchwartzMap.fderivCLM_fourier_eq, ContinuousLinearEquiv.contDiffOn_comp_iff, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, Matrix.toLin_finTwoProd_toContinuousLinearMap, HasFPowerSeriesOnBall.eventually_hasSum_sub, ContinuousMultilinearMap.opNNNorm_le_iff, MeromorphicOn.negPart_divisor_add_le_max, VectorBundleCore.continuousOn_coordChange, iteratedDeriv_exp_const_mul, Bundle.contMDiffAt_section, mfderiv_comp_apply, Complex.hasStrictDerivAt_cpow_const, Real.hasDerivAt_arctan', differentiable_neg, deriv_comp_mul_left, hasDerivAt_neg, inner_gradientWithin_left, hasDerivAtFilter_finCons, PiTensorProduct.norm_eval_le_projectiveSeminorm, iteratedFDeriv_zero_eq_comp, isCompactOperator_iff_image_ball_subset_compact, intervalIntegral.integral_hasDerivAt_right, tsupport_fderiv_apply_subset, hasFTaylorSeriesUpToOn_succ_iff_left, HasCompactSupport.hasDerivAt_convolution_left, measurableSet_lineDifferentiableAt, Polynomial.hasStrictDerivAt, ContinuousLinearEquiv.isBigO_comp_rev, ModelWithCorners.boundary_prod, Real.hasStrictDerivAt_arcsin, hasStrictFDerivAt_sub_const_iff, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, ContinuousLinearMap.fpowerSeriesBilinear_radius, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, contDiff_smul, AffineMap.hasStrictDerivAt, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, IsClosed.diffContOnCl_iff, Real.abs_iteratedDeriv_sin_le_one, hasFDerivWithinAt_ofNat, HasDerivWithinAt.Ioi_iff_Ioo, contDiffWithinAt_pi, OpenPartialHomeomorph.MDifferentiable.symm_comp_deriv, ContinuousLinearEquiv.isOpen, LinearMap.polar_subMulAction, Complex.iteratedDeriv_odd_cos, AnalyticAt.differentiableWithinAt, contDiff_piLp_apply, ContinuousLinearEquiv.coe_toDiffeomorph, deriv_intCast, Real.contDiff_rpow_const_of_le, continuousMultilinearCurryRightEquiv_symm_apply', AnalyticOnNhd.pi, ContinuousLinearMap.isBigO_sub, Real.contDiffOn_arcosh, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, contDiffWithinAt_piLp, DoubleCentralizer.norm_fst, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, measurable_smul_const, ContDiffMapSupportedIn.continuousSMul, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, StrongDual.zero_mem_polar, equivTangentBundleProd_eq_tangentMap_prod_tangentMap, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousAlternatingMap.norm_ofSubsingleton_id, LinearIsometry.contDiff, Trivialization.continuousLinearMapAt_symmL, LinearMap.isStarProjection_toContinuousLinearMap_iff, Manifold.pathELength_eq_lintegral_mfderiv_Icc, HasFDerivAtFilter.isLittleOTVS, iteratedDerivWithin_eq_equiv_comp, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le, Polynomial.differentiableAt, BoundedContinuousFunction.toLp_norm_le, contDiffOn_snd, fderiv_ccosh, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, ContinuousMultilinearMap.bound, DoubleCentralizer.coe_fst, hasStrictFDerivAt_ofNat, mdifferentiable_prod_iff, iteratedDeriv_mul_const_field, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, ContDiffPointwiseHolderAt.fderiv, HasFiniteFPowerSeriesOnBall.finite, Meromorphic.iterated_deriv, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, Real.analyticAt_cosh, Filter.HasBasis.isBigOTVS_iff, mdifferentiableOn_prod_iff, iteratedDeriv_comp_add_const, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, iteratedDerivWithin_succ, Real.contDiffAt_rpow_const_of_ne, mdifferentiableAt_mulInvariantVectorField, ContinuousAffineMap.differentiableOn, mfderivWithin_prodMk, FormalMultilinearSeries.min_radius_le_radius_add, ContinuousAlternatingMap.opNorm_le_iff, ImplicitFunctionData.contDiff_implicitFunction, hasStrictDerivAt_one, Unitization.instNormOneClass, ContinuousAffineMap.norm_comp_le, OpenPartialHomeomorph.MDifferentiable.mfderiv_injective, contMDiffAt_prod_module_iff, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, Valued.integer.mem_iff, logDeriv_prod_sineTerm_eq_sum_cotTerm, mdifferentiableAt_iff_of_mem_source, ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_integral_of_dominated_of_fderiv_le, Trivialization.mdifferentiableOn_section_iff, HasFPowerSeriesAt.pi, hasFDerivAt_comp_add_left, iteratedDerivWithin_succ', HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, IsContDiffImplicitAt.implicitFunctionData_rightFun_pt, Matrix.linfty_opNorm_eq_opNorm, ContinuousAlternatingMap.prodLIE_apply, mfderivWithin_eventually_congr_set, Manifold.IsImmersionAtOfComplement.writtenInCharts, LinearIsometry.inl_apply, Bundle.Trivial.contMDiffVectorBundle, hasDerivAt_pow, SchwartzMap.decay, contDiff_succ_iff_deriv, ModelWithCorners.uniqueDiffWithinAt_image, LinearIsometryEquiv.comp_hasFDerivAt_iff', FormalMultilinearSeries.summable_nnnorm_mul_pow, norm_fderiv_le_of_lipschitzOn, ContinuousLinearMap.isBoundedLinearMap, ContinuousLinearMap.opNorm_le_iff_lipschitz, CPolynomialOn.fderiv, ContMDiffAt.prodMap', Function.FactorizedRational.extractFactor, ContinuousLinearMap.opNorm_flip, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, ContDiffAt.differentiableAt_one, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, VectorPrebundle.continuousOn_coordChange, VectorField.mpullbackWithin_apply, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, hasStrictDerivAt_exp, measurable_fderiv_with_param, logDeriv_const_mul, mfderiv_const, iteratedFDeriv_prodMk, isCoveringMap_npow, IsContDiffImplicitAt.implicitFunctionData_leftFun_apply, SchwartzMap.lineDerivOp_apply_eq_fderiv, deriv_add_const, Real.hasStrictDerivAt_sqrt, mdifferentiableAt_iff_differentiableAt, tangentMap_prodFst, Complex.hasDerivAt_Gamma_one, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, hasFDerivWithinAt_pi, Polynomial.deriv, InnerProductSpace.laplacianWithin_smul_nhds, ContinuousLinearMap.differentiableOn, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, LinearIsometryEquiv.comp_hasFDerivAt_iff, derivWithin_const_add_fun, Real.hasDerivAt_tan_of_mem_Ioo, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, contMDiffOn_comp_projIcc_iff, AffineMap.differentiableOn, Complex.imCLM_nnnorm, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, differentiableAt_pow, AlgHom.toContinuousLinearMap_norm, ContDiff.differentiable, PiLp.hasFDerivAt_apply, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, Complex.iteratedDeriv_even_sin, HasFPowerSeriesWithinAt.neg, Real.hasDerivAt_exp, ContMDiffOn.contMDiffOn_tangentMapWithin, fderiv_sqrt, derivWithin_comp_add_const, Asymptotics.isThetaTVS_comm, derivWithin.star, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, OrderedFinpartition.applyOrderedFinpartition_update_left, contDiffOn_pi, LinearMap.continuous_of_isClosed_ker, derivWithin_zero, ContinuousMultilinearMap.norm_compContinuous_linearIsometryEquiv, FormalMultilinearSeries.radius_le_radius_derivSeries, ContinuousAlternatingMap.curryLeftLI_apply, deriv_comp_const_add, eventuallyConst_iff_analyticOrderAt_sub_eq_top, ContinuousLinearMap.norm_single_le_one, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, uniqueDiffOn_convex_of_isRCLikeNormedField, ContinuousLinearMap.norm_compSL_le, MeasureTheory.norm_condExpInd_le, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, ContMDiffWithinAt.prodMap', Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, ContDiffAt.exists_eventually_eq_hasDerivAt, Real.iteratedDerivWithin_cosh_Icc, mdifferentiableWithinAt_fst, ContinuousMultilinearMap.analyticWithinAt, Trivialization.contMDiffAt_section_iff, fderiv_star, derivWithin_fun_const_smul', hasFDerivAtFilter_iff_tendsto, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, NormedSpace.continuousOn_exp, HasFDerivWithinAt.isBigOTVS_sub, analyticWithinAt_rexp, Valued.integer.isUnit_iff_norm_eq_one, ContinuousLinearEquiv.hasFDerivAt, ContMDiffMap.smul_comp', hasStrictFDerivAt_list_prod, spectrum.resolvent_tendsto_cobounded, Filter.EventuallyEq.iteratedFDeriv, ContinuousLinearMap.opNorm_nonneg, Complex.iteratedDeriv_even_sinh, Pretrivialization.continuousLinearMap_symm_apply, hasDerivAtFilter_pi, inverse_mfderiv_mul_left, StrongDual.polar_empty, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, ModelWithCorners.BoundarylessManifold.prod, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum_of_completeSpace, ContinuousLinearMap.normOneClass, ContinuousLinearMap.opNNNorm_subsingleton, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, differentiableAt_snd, ContinuousAlternatingMap.neg_one_pow_smul_map_removeNth_add_eq_zero_of_eq, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, ContinuousLinearEquiv.analyticOnNhd, StieltjesFunction.ae_hasDerivAt, fderivWithin_const_apply, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, ContinuousLinearMap.opNorm_neg, differentiableWithinAt_smul_iff, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, iteratedDeriv_one, Complex.differentiable_iteratedDeriv_sinh, Real.contDiffAt_arccos, FormalMultilinearSeries.changeOrigin_eval, Unitization.nndist_inr, differentiableWithinAt_add_const_iff, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, iter_deriv_inv_linear_sub, ContinuousLinearMap.add_compLpL, contMDiff_add, exists_embedding_euclidean_of_compact, Complex.norm_fderiv_le_one_of_mapsTo_ball, HasFPowerSeriesAt.prod, hasDerivAt_ofReal_cpow_const', hasStrictDerivAt_natCast, Complex.hasDerivAt_Gamma_one_half, VectorPrebundle.contMDiffOn_contMDiffCoordChange, LeftInvariantDerivation.toDerivation_injective, Real.analyticOn_arsinh, DiffContOnCl.differentiableAt, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, lineDeriv_smul, PiTensorProduct.mapL_pow, LinearMap.continuous_of_isClosed_graph, Real.analyticWithinAt_sin, DoubleCentralizer.natCast_toProd, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', LeftInvariantDerivation.evalAt_mul, ContinuousLinearMap.unit_le_opNorm, iteratedDeriv_id, HasFPowerSeriesWithinAt.add, Diffeomorph.prodComm_symm, exists_extension_norm_eq, Prod.instLieAddGroup, HasMFDerivAt.prodMk, Complex.iteratedDeriv_add_one_cosh, ContinuousLinearMap.norm_id, FormalMultilinearSeries.id_apply_of_one_lt, hasFDerivAt_integral_of_dominated_of_fderiv_le'', ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, ContDiff.contDiff_fderiv_apply, MeasureTheory.L1.norm_Integral_le_one, ContinuousLinearMap.measurable_apply', NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, ContinuousLinearMap.norm_smulRightL_le, DoubleCentralizer.one_toProd, MeasureTheory.withDensityᵥ_smul', HasFPowerSeriesOnBall.image_sub_sub_deriv_le, NormedSpace.expSeries_radius_pos, Complex.imCLM_enorm, hasDerivAtFilter_const, analyticOrderAt_eq_zero, hasDerivAt_single, deriv_fun_const_smul_field, IsMaxOn.lineDeriv_eq_zero, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, differentiableOn_apply, Trivialization.contMDiffOn_symm, ContinuousLinearEquiv.dimH_preimage, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, hasStrictFDerivAt_add_const_iff, differentiableAt_pi, FormalMultilinearSeries.radius_prod_eq_min, analyticAt_mul, hasFDerivAt_zero, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, VectorFourier.norm_fourierSMulRight_le, Manifold.IsImmersionOfComplement.id, ContinuousAffineMap.hasFDerivWithinAt, ContinuousAlternatingMap.nnnorm_ofSubsingleton, Real.iteratedDeriv_odd_sin, hasFDerivWithinAt_add_const_iff, HasFiniteFPowerSeriesOnBall.fderiv', Complex.ofRealCLM_enorm, analyticAt_inv, ContinuousMultilinearMap.currySum_apply, isOpenMap_barycentric_coord, OpenPartialHomeomorph.MDifferentiable.ker_mfderiv_eq_bot, Polynomial.differentiableWithinAt_aeval, contDiffAt_ringInverse, Unitization.norm_splitMul_snd_sq, WeakDual.CharacterSpace.equivAlgHom_coe, ContMDiffAt.prodMk, measurable_fderiv, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, Bundle.contMDiffAt_proj, DoubleCentralizer.natCast_snd, ContDiffMapSupportedIn.bounded_iteratedFDeriv, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, HasFTaylorSeriesUpToOn.differentiableOn, Trivialization.contMDiffOn_iff, MeromorphicOn.negPart_divisor_add_le_add, MeromorphicAt.deriv, Real.analyticOn_sinh, HasFiniteFPowerSeriesOnBall.hasFDerivAt, differentiableWithinAt_const_sub_iff, contMDiffAt_addInvariantVectorField, ordinaryHypergeometric_radius_top_of_neg_nat₁, hasStrictDerivAt_zero, VectorBundleCore.coordChange_linear_comp, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, ContinuousAlternatingMap.alternatizeUncurryFin_add, Units.contMDiff_val, contMDiff_tangentBundleModelSpaceHomeomorph, Complex.hasDerivAt_tan, ContinuousLinearMap.isBigOTVS_fun_comp, Filter.EventuallyEq.lineDifferentiableAt_iff, Real.differentiable_iteratedDeriv_sinh, FormalMultilinearSeries.coeff_iterate_fslope, Complex.analyticWithinAt_sin, ContinuousLinearMap.coeFn_compLp, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, deriv_const_smul', Unitization.antilipschitzWith_addEquiv, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, continuous_descPochhammer_eval, fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, iteratedFDerivWithin_const_of_ne, ContinuousMultilinearMap.norm_ofSubsingleton, VectorFourier.norm_fourierPowSMulRight_le, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_apply, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, LinearIsometryEquiv.differentiableAt, LinearIsometryEquiv.differentiable, Unitization.splitMul_injective, isInvertible_mfderiv_extChartAt, Antitone.deriv_nonpos, AnalyticAt.pi, ContDiffMapSupportedIn.continuous_iff_comp, ContinuousMultilinearMap.norm_map_insertNth_le, HasFPowerSeriesAt.coeff_zero, DoubleCentralizer.sub_snd, ModelWithCorners.coe_transContinuousLinearEquiv, analyticAt_inverse_one_sub, ContDiffOn.comp_continuousLinearMap, mdifferentiableWithinAt_prod_module_iff, Polynomial.differentiable, ContinuousLinearEquiv.coord_norm', HasFPowerSeriesOnBall.hasSum_sub, ContinuousLinearMap.nnnorm_id, contMDiff_pi_space, absConvexHull_eq_convexHull_balancedHull, Bundle.Trivial.symmₗ_trivialization, ProbabilityTheory.hasDerivAt_mgf, hasMFDerivAt_snd, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, uniqueMDiffWithinAt_iff_uniqueDiffWithinAt, hasDerivAt_mul_const, hasFDerivAtFilter_natCast, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, analyticAt_inv_one_sub, HasMFDerivAt.sum, iteratedDeriv_cexp_const_mul, intervalIntegral.integral_hasStrictDerivAt_right, iteratedDeriv_const_mul_field, iteratedDeriv_fun_pow_zero, SchwartzMap.fourier_fderivCLM_eq, ContDiff.snd', FormalMultilinearSeries.radius_eq_top_iff_summable_norm, Real.analyticWithinAt_arcosh, Asymptotics.isBigOTVS_map, iteratedFDeriv_two_apply, MDifferentiableWithinAt.prodMap, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, LinearIsometry.norm_toContinuousLinearMap_le, Real.hasStrictDerivAt_tan, iteratedFDerivWithin_zero_fun, intervalIntegral.integral_hasStrictDerivAt_left, ContinuousLinearMap.analyticOnNhd, fderiv_fst, iter_deriv_inv_linear, AffineMap.differentiable, ContinuousAlternatingMap.differentiable, Complex.logDeriv_cos, WeakDual.toStrongDual_apply, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, ContinuousLinearEquiv.uniqueDiffOn_image_iff, instPerfectSpace, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, Bundle.contMDiffWithinAt_section, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, FormalMultilinearSeries.le_radius_pi, Real.hasDerivAt_arctan, contDiffAt_pi, continuousMultilinearCurryLeftEquiv_symm_apply, hasDerivAt_exp_smul_const', Bundle.mdifferentiableOn_zeroSection, hasFDerivAtFilter_const_add_iff, DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, VectorBundleCore.localTriv.isLinear, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, ContinuousLinearMap.contDiff, differentiable_star_iff, ContinuousLinearMap.instBorelSpace, AnalyticOn.differentiableOn, fderiv_csinh, Trivialization.mdifferentiableWithinAt_totalSpace_iff, IsLocalMinOn.fderivWithin_nonneg, Complex.reCLM_norm, ContMDiffSection.mdifferentiable', ContinuousLinearMap.norm_snd_le, contMDiff_tangentBundleModelSpaceHomeomorph_symm, iteratedFDeriv_succ_eq_comp_left, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff, range_modelWithCornersEuclideanHalfSpace, Real.analyticWithinAt_arsinh, fderiv_of_notMem_tsupport, ContinuousLinearMap.smul_compLpL, IsContDiffImplicitAt.implicitFunction_def, hasStrictFDerivAt_const, differentiableAt_of_deriv_ne_zero, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, Real.iteratedDerivWithin_cosh_Ioo, contMDiffOn_coordChangeL, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_univ, ContinuousLinearMap.nnbound, ContinuousLinearMap.opNorm_mulLeftRight_le, DoubleCentralizer.intCast_fst, ContDiffPointwiseHolderAt.iteratedFDeriv, ContinuousLinearMap.norm_compLpL_le, meromorphicOrderAt_const_intCast, mfderiv_eq_fderiv, mfderiv_fst, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, derivWithin_add_const, StrongDual.polar_zero, fderiv_comp_add_left, ContinuousMultilinearMap.piₗᵢ_apply, ContDiffAt.continuousAt_iteratedFDeriv, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, Real.deriv_arcsin_aux, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, IsLocalMin.fderiv_eq_zero, IsLocalMin.lineDeriv_eq_zero, ContinuousLinearMap.cpolynomialOn, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id_le, LinearMap.coe_toContinuousLinearMap_symm, fderiv_comp_sub, ContinuousAlternatingMap.nnnorm_constOfIsEmpty, hasStrictFDerivAt_list_prod', ContinuousLinearMap.le_opENorm, continuousMultilinearCurryFin1_symm_apply, differentiableWithinAt_comp_add_left, Trivialization.symmL_apply, ContinuousMultilinearMap.opNorm_le_iff, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, ContinuousLinearMap.mdifferentiableOn, ContinuousLinearMap.lsmul_flip_apply, closure_diff_intrinsicInterior, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, Complex.differentiable_iteratedDeriv_cos, sub_smul_dslope, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, ContinuousAlternatingMap.unit_le_opNorm, SchwartzMap.smulLeftCLM_ofReal, ContDiffAt.differentiableAt_iteratedFDeriv, Manifold.IsImmersionOfComplement.of_opens, Trivialization.prod_apply', fderivWithin_zero_of_not_differentiableWithinAt, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, ContinuousLinearEquiv.coord_norm, ContinuousAlternatingMap.opNNNorm_le_iff, ContDiffOn.prodMk, ContinuousMultilinearMap.nnnorm_smulRight, ContMDiffSection.mdifferentiableAt, ContinuousOn.continuousOn_iteratedFDeriv, intervalIntegral.integral_hasDerivAt_left, contDiffWithinAt_snd, Real.hasStrictDerivAt_const_rpow, VectorField.lieBracketWithin_eq, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, contDiffAt_piLp, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, minSmoothness_def, hasDerivWithinAt_intCast, differentiableWithinAt_zpow, VectorPrebundle.coordChange_apply, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, LSeries_hasDerivAt, Real.analyticOnNhd_sinh, NormedField.exists_norm_lt, LeftInvariantDerivation.commutator_apply, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, Real.hasDerivAt_fourierIntegral, mdifferentiableWithinAt_iff_of_mem_source, ContinuousAlternatingMap.bound, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, differentiableWithinAt_piLp, hasStrictFDerivAt_pow, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, Bundle.Prod.contMDiffVectorBundle, ContinuousLinearEquiv.differentiableWithinAt, AnalyticOn.eval_polynomial, fderiv_comp_smul, ContinuousLinearMap.opNorm_lsmul, HasFPowerSeriesWithinOnBall.hasSum, isCoveringMapOn_zpow, FormalMultilinearSeries.norm_changeOriginSeriesTerm, PiLp.hasStrictFDerivAt_ofLp, fderivWithin_arctan, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, Module.Basis.continuous_coe_repr, ContinuousLinearMap.norm_id_of_nontrivial_seminorm, Complex.analyticAt_cos, Unitization.uniformity_eq_aux, HasGradientAt.hasDerivAt, AnalyticOn.prod, analyticOnNhd_inv, Complex.analyticOnNhd_cos, hasDerivAt_exp_zero, HasFTaylorSeriesUpTo.zero_eq', ContinuousLinearEquiv.analyticAt, Real.contDiff_exp, ContinuousMultilinearMap.norm_def, NormedSpace.double_dual_bound, instFieldContMDiffRing, Matrix.cstar_norm_def, MeasureTheory.convolution_eq_swap, isInvertible_mfderivWithin_extChartAt_symm, ContMDiff.codRestrict_sphere, ModelWithCorners.coe_transContinuousLinearEquiv_symm, UniqueMDiffWithinAt.prod, fderivWithin_def, UniformCauchySeqOnFilter.one_smulRight, mulInvariantVectorField_smul, mdifferentiable_prod_module_iff, differentiable_finCons, ContDiff.fderiv_right, hasDerivAt_const_add_iff, ContinuousMultilinearMap.curryFinFinset_symm_apply, equivTangentBundleProd_symm_apply_proj, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum, ContDiffMapSupportedIn.withSeminorms', ContinuousAlternatingMap.opNorm_pi, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, FormalMultilinearSeries.id_apply_one, ContinuousLinearEquiv.comp_contDiff_iff, analyticWithinAt_cexp, ContMDiffSection.mdifferentiable, fderiv_csin, ContinuousLinearMap.norm_snd, MeromorphicOn.divisor_def, WeakDual.isSeqCompact_polar, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.iteratedFDeriv_comp_right, norm_fderiv_le_of_lip', DiffContOnCl.differentiableOn, Real.analyticWithinAt_cosh, contDiff_snd, ContinuousMultilinearMap.apply_zero_uncurry0, fderiv_cosh, PiTensorProduct.injectiveSeminorm_tprod_le, support_fderiv_subset, Filter.EventuallyEq.hasLineDerivAt_iff, IsLocalFrameOn.generating, ContDiff.continuousLinearMap_comp, ContinuousLinearMap.norm_holderL_le, hasFDerivWithinAt_pow, logDeriv_mul_const, contDiff_infty_iff_fderiv, coe_algEquiv_lpBCF_symm, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Asymptotics.isBigOTVS_prodMk_left, Unitization.lipschitzWith_addEquiv, ContMDiff.prodMk_space, hasStrictDerivAt_id, ContMDiffWithinAt.prodMap, ContDiffWithinAt.prodMk, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, Complex.iteratedDeriv_odd_cosh, HasGradientAt.fderiv_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, IsExtrFilter.lineDeriv_eq_zero, ContinuousLinearMap.comp_analyticOnNhd, Complex.contDiff_sin, Complex.hasDerivAt_exp, Bundle.mdifferentiable_zeroSection, Complex.contDiff_cos, LinearIsometryEquiv.integrable_comp_iff, deriv_neg, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, ContDiffWithinAt.differentiableWithinAt', contMDiffAt_fst, mdifferentiableWithinAt_prod_iff, LeftInvariantDerivation.ext_iff, norm_iteratedFDeriv_zero, mfderiv_subtype_coe_Icc_one, MeromorphicOn.countable_compl_analyticAt, hasDerivWithinAt_Ici_of_tendsto_deriv, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, HasMFDerivWithinAt.comp, Real.hasStrictDerivAt_rpow_const, NormedSpace.exp_analytic, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, differentiableAt_inv, HasFiniteFPowerSeriesOnBall.fderiv_eq, IsLocalFrameOn.coeff_sum_eq, Valued.integer.norm_coe_unit, Complex.hasDerivAt_log_sub_logTaylor, hasStrictDerivAt_iff_hasStrictFDerivAt, ContinuousLinearEquiv.comp_contDiffAt_iff, ContinuousAlternatingMap.hasFDerivAt, FormalMultilinearSeries.summable, hasDerivAt_iff_tendsto_slope, intervalIntegral.fderiv_integral, PiTensorProduct.mapL_add, fderiv_fun_const, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, eventually_norm_trivializationAt_lt, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', HasFPowerSeriesAt.hasStrictFDerivAt, ModelWithCorners.uniqueDiffOn_preimage_source, isBoundedLinearMap_continuousMultilinearMap_comp_linear, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, differentiableOn_finCons, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, ContinuousLinearMap.bound, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, ContDiffAt.prodMk, StrongDual.polar_singleton, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Real.hasDerivAt_Gamma_nat, HasStrictFDerivAt.inner, HasMFDerivAt.comp, hasDerivAt_pi, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, hasFDerivAt_inv', hasDerivWithinAt_finCons, contMDiffAt_pi_space, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, FormalMultilinearSeries.rightInv_coeff, differentiableAt_dslope_of_ne, tangentMap_prod_right, Complex.hasDerivAt_log, ValueDistribution.logCounting_coe, hasDerivAt_zpow, MeasureTheory.AEStronglyMeasurable.convolution_integrand', FormalMultilinearSeries.summable_norm_apply, ContinuousMultilinearMap.norm_constOfIsEmpty, uniqueDiffOn_extChartAt_target, contMDiffOn_vectorSpace_iff_contDiffOn, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, MeromorphicOn.iterated_deriv, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, mfderiv_neg, VectorBundle.pullback, hasFDerivWithinAt_of_subsingleton, ContDiffOn.prodMap, isClosedMap_smul_left, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, hasFDerivWithinAt_iff_tendsto, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, Real.contDiffAt_arcsin, differentiableAt_iff_comp_const_add, ContinuousMultilinearMap.le_opNorm_mul_pow_of_le, ValueDistribution.log_counting_zero_sub_logCounting_top, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', differentiableAt_inverse, Matrix.l2_opNorm_def, fderivWithin_comp_add_right, ContinuousMultilinearMap.le_opNNNorm, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, contDiffAt_fst, ContinuousLinearMap.iteratedFDeriv_comp_left, ContinuousLinearMap.holderL_apply_apply, differentiableAt_comp_sub, StrongDual.mem_polar_singleton, FormalMultilinearSeries.comp_rightInv_aux2, derivWithin_sub_const, LeftInvariantDerivation.toFun_eq_coe, Complex.reCLM_enorm, ContinuousMultilinearMap.opNorm_prod, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, Asymptotics.isLittleOTVS_insert, Real.hasDerivAt_sinh, isClosedEmbedding_smul_left, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, Complex.norm_fderiv_le_div_of_mapsTo_ball, norm_innerSL_le, logDeriv_sineTerm_eq_cotTerm, tangentMap_prod_left, ContinuousLinearMap.isLeast_opNorm, fderiv_const_smul_of_field, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, HasLineDerivAt.smul, Real.exists_extension_norm_eq, continuousMultilinearCurryRightEquiv_apply, hasStrictFDerivAt_intCast, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, IsLocalDiffeomorphAt.mfderivToContinuousLinearEquiv_coe, ContDiffMapSupportedIn.structureMapLM_zero_apply, hasFDerivAtFilter_add_const_iff, LinearMap.injective_iff_antilipschitz, deriv.star', AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, ContinuousAlternatingMap.prodLIE_symm_apply, analyticOrderAt_smul_eq_top_of_right, Submodule.ClosedComplemented.of_quotient_finiteDimensional, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, MontelSpace.finiteDimensional_of_normedSpace, ContMDiffSection.contMDiff_toFun, SchwartzMap.fourier_convolution, ContDiff.differentiable_one, AnalyticOnNhd.eval_continuousLinearMap', norm_lineDeriv_le_of_lip', ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, ContinuousLinearMap.flipₗᵢ_symm, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, Asymptotics.IsBigOTVS.refl, contDiffGroupoid_prod, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, ContinuousLinearMap.dist_le_opNorm, FormalMultilinearSeries.rightInv_coeff_one, ContinuousAlternatingMap.opNNNorm_prod, ContDiffWithinAt.differentiableWithinAt, mfderivWithin_id, deriv_mul_const_field', contDiffWithinAt_piLp', MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, differentiableAt_iff_comp_sub_const, uniqueDiffWithinAt_extChartAt_target, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, ApproximatesLinearOn.lipschitzOnWith, ModelWithCorners.interior_prod, norm_fderiv_norm_id_rpow, ContinuousLinearMap.isBigOTVS_id, ContinuousLinearMap.norm_holder_apply_apply_le, Real.analyticOnNhd_arcosh, mfderivWithin_sumSwap, AnalyticOnNhd.eval_mvPolynomial, contMDiffOn_snd, tendsto_nhds_of_meromorphicOrderAt_nonneg, Submodule.norm_subtypeL_le, ContinuousLinearMap.hasStrictDerivAt, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, hasDerivWithinAt_iff_tendsto_slope, hasFDerivAtFilter_pi', measurable_fderiv_apply_const_with_param, constFormalMultilinearSeries_apply_succ, ImplicitFunctionData.hasStrictFDerivAt_rightFun, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, mfderiv_prod_left, ContinuousLinearMap.coe_ofIsClosedGraph, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, DoubleCentralizer.toProdHom_apply, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, DoubleCentralizer.mul_snd, hasMFDerivWithinAt_inl, ContinuousLinearMap.fpowerSeries_apply_one, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, continuousOn_clm_apply, logDeriv_pow, Real.hasDerivAt_sqrt, analyticOn_rexp, IccRightChart_extend_top, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, constFormalMultilinearSeries_zero, ValueDistribution.logCounting_inv, Asymptotics.IsBigO.isBigOTVS, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, contMDiffOn_prod_module_iff, ContinuousAlternatingMap.compContinuousLinearMapCLM_apply, ContinuousMultilinearMap.norm_compContinuousLinearMap_le, ContinuousLinearMap.opNNNorm_mul_apply, eventually_norm_mfderiv_extChartAt_lt, ContinuousMultilinearMap.curryFinFinset_apply, NormedField.nhdsWithin_isUnit_neBot, Real.contDiffOn_arcsin, TestFunction.injective_toBoundedContinuousFunctionCLM, boundary_Icc, OrderedFinpartition.applyOrderedFinpartition_update_right, Real.contDiffAt_arccos_iff, VectorBundleCore.coordChange_comp, derivWithin_const_sub, hasFDerivAt_fst, FormalMultilinearSeries.constFormalMultilinearSeries_radius, Asymptotics.isLittleOTVS_sup, MDifferentiableWithinAt.prodMap', mfderiv_comp_mfderivWithin_of_eq, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, derivWithin_const_mul_field, MeromorphicAt.frequently_zero_iff_eventuallyEq_zero, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, Trivialization.contMDiffOn, ContinuousLinearMap.norm_precompL_le, contDiff_pi, Real.fderiv_fourierChar_neg_bilinear_left_apply, HasFTaylorSeriesUpToOn.restrictScalars, AnalyticAt.hasStrictFDerivAt, ContDiffAt.snd'', ContinuousLinearMap.apply_apply, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, intrinsicClosure_eq_closure, Asymptotics.isThetaTVS_iff_isTheta, hasFDerivAt_pi', ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, HasGradientAtFilter.hasDerivAtFilter, IsSymmSndFDerivWithinAt.eq, PiTensorProduct.mapLMultilinear_opNorm, analyticAt_pi_iff, Convex.instPathConnectedSpace, ContinuousMultilinearMap.norm_image_sub_le', hasFPowerSeriesAt_iff', LinearMap.canLiftContinuousLinearMap, LinearIsometryEquiv.differentiableOn, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, inner_gradient_right, analyticAt_inverse, meromorphicOrderAt_ne_top_iff_eventually_ne_zero, contMDiffOn_section_of_mem_baseSet₀, hasStrictDerivAt_exp_zero, deriv_const_smul_field, Submodule.orthogonalProjection_norm_le, contDiffWithinAt_piLp_apply, DoubleCentralizer.intCast_toProd, ContinuousAffineMap.differentiableAt, Function.HasTemperateGrowth.isBigO_uniform, differentiableOn_snd, differentiableAt_comp_sub_const, iteratedFDerivWithin_zero_apply, smooth_functions_tower, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, fderiv_single, mdifferentiable_iff_differentiable, Real.contDiffAt_rpow_of_ne, Real.hasStrictDerivAt_exp, differentiableWithinAt_const_add_iff, coe_algEquiv_lpBCF, contMDiff_fst, hasFDerivAt_list_prod_attach', Bundle.mdifferentiableAt_zeroSection, mdifferentiableOn_iff_of_mem_maximalAtlas, iteratedDerivWithin_mul_const_field, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, boundary_product, MeasureTheory.norm_condExpL2_le_one, ContinuousLinearEquiv.mdifferentiableAt, HasCompactSupport.convolution_integrand_bound_right, contDiff_prodMk_left, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, MDifferentiableAt.prodMap, fderivWithin_mem_iff, Complex.analyticOnNhd_sinh, UniqueMDiffOn.uniqueDiffWithinAt_range_inter, Complex.analyticWithinAt_cos, logDeriv_zpow, NormedField.exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, hasLineDerivWithinAt_congr_set, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, FormalMultilinearSeries.ofScalars_norm_eq_mul, isBoundedBilinearMap_smulRight, inCoordinates_tangent_bundle_core_model_space, isOpen_setOf_linearIndependent, contDiffOn_apply, LinearIsometryEquiv.differentiableWithinAt, Trivialization.mdifferentiable, differentiableOn_const_add_iff, VectorBundle.prod, AnalyticOnNhd.eval_continuousLinearMap, hasStrictFDerivAt_pi, LSeries.hasDerivAt_term, hasFDerivAt_iff_isLittleO_nhds_zero, fderivWithin_comp_sub, ContDiffMapSupportedIn.structureMapLM_apply, binomialSeries_radius_ge_one, derivWithin_const_smul', VectorPrebundle.contMDiffCoordChange_apply, isBoundedLinearMap_prod_multilinear, ContMDiff.prodMap, differentiableWithinAt_fst, continuousOn_coordChange, HasCompactSupport.convolution_integrand_bound_right_of_subset, deriv_const_sub, LinearIsometryEquiv.comp_fderiv', HasStrictDerivAt_ofNat, ContDiffBump.contDiffWithinAt, Real.fourier_smul_convolution_eq, DoubleCentralizer.smul_snd, deriv_div_const, inverse_mfderiv_add_left, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, LeftInvariantDerivation.coeFnAddMonoidHom_apply, Complex.deriv_log_comp_eq_logDeriv, hasDerivWithinAt_iff_tendsto, contMDiff_snd_tangentBundle_modelSpace, balancedHull_convexHull_subseteq_absConvexHull, Valued.integer.exists_norm_coe_lt_one, mdifferentiableOn_iff_of_subset_source', mem_contMDiffFiberwiseLinear_iff, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, hasDerivAt_finCons, Asymptotics.IsThetaTVS.rfl, ContinuousLinearMap.contMDiffAt, isOpen_setOf_nat_le_rank, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, differentiableAt_iff_comp_neg, isClosed_setOf_isCompactOperator, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, one_le_formalMultilinearSeries_geometric_radius, ContinuousLinearMap.le_opNorm_enorm, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, contDiff_euclidean, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, fderiv_sin, hasStrictDerivAt_pow, Derivation.evalAt_apply, derivWithin_mem_iff, ContinuousMultilinearMap.norm_curryMid, differentiableOn_inv, ContinuousLinearEquiv.comp_right_differentiable_iff, Icc_isBoundaryPoint_top, ContinuousAlternatingMap.ratio_le_opNorm, ContinuousMultilinearMap.norm_mkPiAlgebraFin, diffContOnCl_univ, ModelWithCorners.uniqueDiffOn, norm_iteratedFDeriv_fderiv, StrongDual.polar_nonempty, NormedSpace.dual_def, const_smul_mfderiv, Filter.EventuallyEq.hasDerivAtFilter_iff, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, differentiableWithinAtProp_self_target, HasMFDerivAt.const_smul, AnalyticOnNhd.differentiableOn, analyticOn_snd, Function.HasTemperateGrowth.isBigO, FormalMultilinearSeries.hasFPowerSeriesOnBall, Complex.logDeriv_cosh, ContinuousLinearMap.coe_mulₗᵢ, deriv_fun_const_smul', ContinuousLinearMap.isUnit_iff_bijective, Unitization.norm_inr, UniqueDiffWithinAt.of_real, contMDiffAt_snd, conformalAt_iff', ContinuousLinearMap.mdifferentiableAt, Real.hasDerivWithinAt_arcsin_Iic, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, hasDerivAt_abs_pos, PiTensorProduct.injectiveSeminorm_def, ContinuousLinearMap.coeFn_holder, deriv_ofNat, ContDiffMapSupportedIn.structureMapLM_eq, hasStrictFDerivAt_id, ContinuousAlternatingMap.norm_image_sub_le, hasStrictFDerivAt_sub_const, ContinuousLinearMap.coe_deriv₂, IsMIntegralCurveAt.eventually_hasDerivAt, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, differentiableWithinAt_Ioi_iff_Ici, contDiff_succ_iff_hasFDerivAt, Unitization.continuous_inr, hasFDerivWithinAt_comp_add_left, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, HasCompactSupport.hasFDerivAt_convolution_left, Trivialization.contMDiffWithinAt_section, extChartAt_prod, Real.iteratedDerivWithin_sin_Ioo, DoubleCentralizer.add_toProd, instIsManifoldIcc, IsContDiffImplicitAt.implicitFunctionData_leftFun_pt, TemperedDistribution.smulLeftCLM_apply_apply, hasFDerivAt_pi, mfderivWithin_comp, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, differentiableOn_fst, contDiff_one_iff_deriv, hasFDerivWithinAt_snd, IsBoundedLinearMap.isLinearMap_and_continuous_iff_isBoundedLinearMap, ContMDiff.coordChangeL, differentiableWithinAt_finCons, analyticOn_fst, fderiv_const_apply, Real.hasStrictDerivAt_log_of_pos, FormalMultilinearSeries.ofScalars_norm, derivWithin_comp_neg, ContinuousMultilinearMap.norm_ofSubsingleton_id, hasFTaylorSeriesUpToOn_pi, contMDiffOn_projIcc, iter_deriv_pow, WithLp.analyticOn_ofLp, Asymptotics.IsThetaTVS.refl, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, contMDiff_circleExp, contDiffWithinAt_succ_iff_hasFDerivWithinAt, Filter.EventuallyEq.hasLineDerivWithinAt_iff, Asymptotics.IsBigO.hasFDerivAt, hasFDerivWithinAt_apply, Complex.hasDerivAt_Gamma_nat, hasFDerivAt_integral_of_dominated_loc_of_lip, measurableSet_of_differentiableAt_with_param, ContMDiffMap.coeFnLinearMap_apply, DoubleCentralizer.neg_fst, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, PiTensorProduct.mapLMultilinear_toFun_apply, norm_jacobiTheta₂_term_fderiv_le, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, analyticAt_snd, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, Unitization.nnnorm_inr, fderiv_eq_smul_deriv, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, LinearMap.ker_toContinuousLinearMap, tangentBundleCore_coordChange_achart, ContinuousAlternatingMap.le_opNorm_mul_prod_of_le, hasFDerivAt_prodMk_right, DoubleCentralizer.toProdMulOppositeHom_apply, ContinuousLinearMap.coeFn_compLp', Real.smoothTransition.contDiff, Manifold.LiftSourceTargetPropertyAt.prodMap, ContinuousLinearEquiv.mfderivWithin_eq, deriv_comp_sub_const, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', AffineMap.continuous_of_finiteDimensional, hasFDerivAtFilter_intCast, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, hasFDerivAtFilter_one, iteratedFDeriv_const_of_ne, hasDerivWithinAt_sub_const_iff, QuadraticMap.hasLineDerivAt, contMDiffOn_section_of_mem_baseSet, fderiv_inv', ContinuousLinearEquiv.contDiff, ContinuousLinearMap.coeFn_ofIsClosedGraph, Complex.differentiable_iteratedDeriv_cosh, Trivialization.localFrame_apply_of_mem_baseSet, AnalyticOnNhd.prod, analyticAt_cexp, contDiffOn_pi', IsLocalMinOn.fderivWithin_eq_zero, FormalMultilinearSeries.comp_assoc, PiTensorProduct.tprodL_coe, ModelWithCorners.extChartAt_transContinuousLinearEquiv_target, HasFPowerSeriesWithinAt.comp, differentiable_neg_iff, ContMDiff.prodMk, Real.hasDerivAt_negMulLog, continuousAt_dslope_of_ne, continuousMultilinearCurryFin1_apply, PiLp.hasStrictFDerivAt_toLp, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, LineDifferentiableAt.smul, hasFDerivWithinAt_id, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, Trivialization.coordChangeL_prod, toMeromorphicNFOn_eqOn_codiscrete, mfderiv_id, mfderivWithin_comp_of_eq

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
non_trivial 📖	mathematical	—	Real Real.instLT Real.instOne Norm.norm NormedField.toNorm toNormedField	—	—

NormedDivisionRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toDivisionRing 📖	CompOp	922 math math: Polynomial.fderiv, Pi.comul_eq_adjoint, absorbent_iff_eventually_nhdsNE_zero, NumberField.basisMatrix_eq_embeddingsMatrixReindex, DifferentiableOn.zpow, nnnorm_inv, integrableOn_cfcₙ', ContinuousMultilinearMap.norm_mkPiRing, continuous_cfcₙHomSuperset_left, cfcₙL_integral, HasFDerivWithinAt.ccosh, continuousOn_stereoToFun, hasSum_geometric_of_norm_lt_one, norm_cfcₙHom, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, LinearMap.IsSymmetric.inner_map_polarization, HasFDerivWithinAt.ccos, InnerProductSpace.toLinearIsometry_toDual, Bornology.isVonNBounded_iff_tendsto_smallSets_nhds, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, Asymptotics.IsEquivalent.zpow, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, cfcₙ_norm_nonneg, ContinuousWithinAt.cfcₙ, Ideal.toCharacterSpace_apply_eq_zero_of_mem, hasFDerivAt_iff_hasGradientAt, MeasureTheory.eLpNormEssSup_const_smul, Asymptotics.isBigO_const_smul_right, cfcₙHom_apply_mem_elemental, TendstoLocallyUniformlyOn.div₀, RCLike.div_re_ofReal, NormedSpace.exp_zsmul, Real.fourierCoeff_tsum_comp_add, Differentiable.fun_div, Filter.Tendsto.cfc, InnerProductSpace.rankOne_one_left_eq_innerSL, Function.FactorizedRational.divisor, HasStrictFDerivAt.csin, Polynomial.isEquivalent_atBot_div, ContDiff.div_const, WeakDual.isCompact_polar, nnnorm_cfc_lt, HasDerivWithinAt.div_const, TendstoLocallyUniformlyOn.inv₀, differentiableAt_zpow, Padic.eq_padicNorm, MeasureTheory.lpNorm_fun_div_natCast, HurwitzZeta.cosZeta_two_mul_nat', hasSum_choose_mul_geometric_of_norm_lt_one, tsum_coe_mul_geometric_of_norm_lt_one', StrongDual.polarSubmodule_eq_setOf, DifferentiableAt.div, Filter.inv_nhdsWithin_ne_zero, Polynomial.div_tendsto_atTop_leadingCoeff_div_of_degree_eq, fderivWithin_csinh, span_fourier_closure_eq_top, HasDerivWithinAt.fun_div, ordinaryHypergeometric_radius_top_of_neg_nat₃, DifferentiableAt.fun_inv, tendsto_zpow_nhdsNE_zero_cobounded, integrableOn_cfc', WeakDual.isClosed_image_polar_of_mem_nhds, ZLattice.covolume_eq_det_inv, AnalyticWithinAt.fun_zpow, PadicComplex.valuation_extends, one_add_cpow_hasFPowerSeriesAt_zero, Asymptotics.isBigOWith_mul_iff_isBigOWith_div, NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded, norm_cfc_lt_iff, Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eq, DilationEquiv.smulTorsor_symm_apply, diam_smul₀, isClosedEmbedding_cfcₙAux, innerSL_apply_apply, CFC.abs_eq_cfcₙ_coe_norm, LinearMap.adjoint_innerₛₗ_apply, hasDerivAt_neg', ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, ContinuousLinearMap.toBilinForm_apply, nnnorm_cfcₙ_lt_iff, ContinuousOn.cfcₙ', ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, HurwitzZeta.cosZeta_two_mul_nat, ContinuousMap.setOfIdeal_ofSet_eq_interior, InnerProductSpace.toDual_symm_apply, Bornology.isVonNBounded_pi_iff, Submodule.starProjection_singleton, tsum_coe_mul_geometric_of_norm_lt_one, IsGreatest.nnnorm_cfcₙ, ContinuousAt.cfc, Complex.hasStrictDerivAt_tan, MeasureTheory.charFun_toDual_symm_eq_charFunDual, Differentiable.fun_inv, Differentiable.fderiv_norm_rpow, UnitAddTorus.mFourierSubalgebra_coe, iteratedDeriv_div_const, differentiableWithinAt_inv, Asymptotics.IsBigO.smul, Complex.exp_eq_exp_ℂ, Complex.hasStrictFDerivAt_exp_real, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, sum_cauchyPowerSeries_eq_integral, AnalyticOn.fun_inv, DifferentiableAt.zpow, MeasureTheory.integral_div, cfc_complex_eq_real, UnitAddTorus.mFourierSubalgebra_closure_eq_top, norm_cfc_le_iff, iter_deriv_zpow', TendstoLocallyUniformlyOn.fun_inv₀_of_disjoint, TendstoLocallyUniformly.fun_inv₀, HasFDerivAt.norm_sq, polynomialFunctions.starClosure_topologicalClosure, hasFDerivWithinAt_inv, PadicComplex.coe_natCast, HasFDerivWithinAt.csin, Polynomial.div_tendsto_zero_iff_degree_lt, LinearMap.IsSymmetric.directSum_decompose_apply, Differentiable.zpow, Continuous.cfc', gelfandStarTransform_naturality, gelfandStarTransform_apply_apply, Asymptotics.isBigO_iff_div_isBoundedUnder, Submodule.reflection_singleton_apply, RCLike.nonUnitalContinuousFunctionalCalculus, intervalIntegral.integral_div, Filter.inv_nhdsNE_zero, NormedSpace.Dual.toWeakDual_continuous, TendstoLocallyUniformlyOn.fun_div₀, deriv_fun_inv'', ContinuousMultilinearMap.norm_smulRightL_le, tsum_geometric_of_norm_lt_one, cfcₙ_integral, egauge_univ, cfcₙ_setIntegral, InnerProductSpace.gramSchmidt_def, dist_inv_inv₀, tendsto_norm_inv_nhdsNE_zero_atTop, Polynomial.toAddCircle_X_pow_eq_fourier, Polynomial.abs_div_tendsto_atTop_of_degree_gt, ContinuousLinearMap.toSesqForm_apply_coe, gelfandTransform_bijective, fderivWithin_ccosh, ordinaryHypergeometricSeries_radius_eq_one, VectorFourier.fourierPowSMulRight_eq_comp, egauge_zero_zero, Complex.hasDerivAt_GammaIntegral, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, cfcL_integrable, Submodule.orthogonalProjection_bot, DifferentiableAt.fun_div, binomialSeries_radius_eq_one, meromorphicOrderAt_ne_top_iff, Pi.counit_eq_adjoint, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, Asymptotics.IsLittleO.tendsto_div_nhds_zero, ContinuousOn.cfc, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Asymptotics.isLittleO_pow_pow, Complex.hasStrictFDerivAt_cpow', Real.fourier_iteratedFDeriv, nnnorm_div, uniqueDiffWithinAt_iff_accPt, InnerProductSpace.toDualMap_apply_apply, HasStrictDerivAt.div, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, derivWithin_zpow, Meromorphic.div, WeakDual.toStrongDual_inj, hasDerivAt_id', rescale_to_shell_semi_normed_zpow, balancedCore_mem_nhds_zero, Bornology.isVonNBounded_iff_absorbing_le, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, coe_innerSL_apply, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, LinearEquiv.toSpanNonzeroSingleton_homothety, range_cfcₙHom, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, norm_cfcₙ_lt, Asymptotics.div_isBoundedUnder_of_isBigO, WeakDual.coe_toStrongDual, Filter.inv_cobounded₀, BoundedContinuousFunction.mem_charPoly, spectrum.gelfandTransform_eq, BoundedContinuousFunction.charAlgHom_apply, ContinuousMap.spectrum_eq_preimage_range, ContDiffAt.div_const, hasDerivWithinAt_neg, IsGreatest.norm_cfcₙ, hasGradientWithinAt_iff_hasFDerivWithinAt, inner_eq_norm_mul_iff_div, cfcₙ_comp_norm, MeasureTheory.integral_smul, nndist_inv_inv₀, NormedSpace.smul_mem_polar, WeakDual.CharacterSpace.continuousMapEval_bijective, Polynomial.cauchyBound_smul, Continuous.cfcₙ_of_mem_nhdsSet, NormedSpace.inclusionInDoubleDual_norm_eq, cfcₙHom_integral, Continuous.cfcₙ, continuousOn_cfc_setProd, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, IsGreatest.norm_cfc, AnalyticOn.fun_zpow, NormedSpace.exp_conj, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, FiniteDimensional.of_locallyCompact_manifold, Asymptotics.IsTheta.div, unitSphereToUnits_apply_coe, Submodule.reflection_orthogonalComplement_singleton_eq_neg, deriv_fun_div, Function.FactorizedRational.mulSupport, dist_eq, Polynomial.toAddCircle.integrable, Meromorphic.zpow, continuousOn_cfcₙ, infEDist_smul₀, RCLike.div_im, Filter.tendsto_inv₀_cobounded, hasFDerivAt_norm_rpow, Function.FactorizedRational.meromorphicOrderAt_eq, summable_jacobiTheta₂_term_fderiv_iff, Polynomial.div_tendsto_atBot_zero_of_degree_lt, isCoveringMap_zpow, RCLike.instContinuousMapUniqueHom, Seminorm.rescale_to_shell_zpow, derivWithin_fun_div, WeakDual.CharacterSpace.homeoEval_naturality, norm_commutator_sub_one_le, contDiffOn_stereoToFun, Asymptotics.IsBigO.eventually_mul_div_cancel, absorbs_iff_eventually_nhdsNE_zero, HurwitzZeta.hurwitzZeta_neg_nat, range_cfcₙ, Complex.hasStrictFDerivAt_cpow, IsGreatest.nnnorm_cfc, egauge_le_one, Convex.toWeakSpace_closure, AnalyticWithinAt.inv, Function.FactorizedRational.finprod_eq_fun, hasDerivAtFilter_neg, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasFDerivWithinAt.hasGradientWithinAt, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, Asymptotics.IsLittleO.smul, innerSL_inj, fderivWithin_inv', hasDerivWithinAt_pow, Asymptotics.isLittleO_pow_id, MeasureTheory.Measure.hausdorffMeasure_smul₀, HasFDerivWithinAt.cpow, StrongDual.toLp_of_not_memLp, HasStrictFDerivAt.const_cpow, unitSphereToUnits_injective, HasFDerivWithinAt.csinh, derivWithin_div_const, cfcₙAux_id, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, le_egauge_smul_left, WeakDual.isCompact_closedBall, InnerProductSpace.toDual_apply, UniformContinuousOn.fun_inv₀, NormedSpace.exp_continuousMap_eq, DifferentiableOn.inv, FormalMultilinearSeries.coeff_ofScalars, Asymptotics.isBigO_mul_iff_isBigO_div, nhds_basis_balanced, FormalMultilinearSeries.mkPiRing_coeff_eq, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, RCLike.nnnorm_nnratCast, InnerProductSpace.toDualMap_apply, gelfandTransform_map_star, logDeriv_div, cfcHom_integral, hasDerivAtFilter_id, fderivWithin_ccos, hasDerivAt_update, HasStrictFDerivAt.clog, nnnorm_apply_le_nnnorm_cfcₙ, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, cfcₙ_real_eq_complex, inner_eq_sum_norm_sq_div_four, Polynomial.cauchyBound_C, Padic.comap_mulValuation_eq_padicValuation, MeromorphicOn.div, FormalMultilinearSeries.radius_smul_eq, ContinuousMap.ideal_isMaximal_iff, hasDerivAt_jacobiTheta₂_fst, IsometricContinuousFunctionalCalculus.toNonUnital, DifferentiableOn.div_const, DilationEquiv.mulRight_symm_apply, InnerProductSpace.toDual_apply_apply, ContinuousLinearMap.adjointAux_apply, FiniteDimensional.of_isCompact_closedBall₀, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, Asymptotics.IsLittleO.smul_isBigO, CFC.exp_eq_normedSpace_exp, RCLike.im_eq_conj_sub, Asymptotics.isLittleO_const_smul_left, InnerProductSpace.rankOne_def, stereoToFun_apply, PointwiseConvergenceCLM.equivWeakDual_apply, hasSum_jacobiTheta₂_term_fderiv, Polynomial.fderiv_aeval, DilationEquiv.mulLeft_symm_apply, iter_deriv_zpow, HasStrictFDerivAt.ccos, Complex.hasDerivAt_Gammaℂ_one, integrable_cfcₙ, Complex.hasStrictDerivAt_const_cpow, ClosedSubmodule.orthogonal_eq_inter, HasFDerivWithinAt.cexp, IsSelfAdjoint.cfc_arg, RCLike.conj_div, RCLike.ofReal_zpow, HurwitzZeta.hurwitzZetaOdd_neg_two_mul_nat, StrongDual.polarSubmodule_eq_polar, norm_cfcₙ_lt_iff, DilationEquiv.mulLeft_apply, fourierSubalgebra_separatesPoints, AnalyticOn.zpow_nonneg, MeasureTheory.SignedMeasure.re_toComplexMeasure, Complex.one_add_cpow_hasFPowerSeriesAt_zero, Commute.cfcₙHom, NumberField.place_apply, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, PointwiseConvergenceCLM.equivWeakDual_symm_apply, Asymptotics.isLittleO_const_smul_right, ContDiffAt.div, Complex.hasFDerivAt_cpow, LinearEquiv.extendOfIsometry_symm_apply, Asymptotics.IsBigOWith.eventually_mul_div_cancel, iteratedDerivWithin_zpow, meromorphicOrderAt_eq_int_iff, NormedSpace.ofReal_exp_ℝ_ℝ, WeakDual.isSeqCompact_closedBall, HasFDerivAt.cexp, HasFDerivAt.ccos, hasStrictDerivAt_zpow, WeakDual.exists_countable_separating, HasFDerivAt.clog, PadicComplex.valuation_p, innerSLFlip_apply_apply, Polynomial.hasFDerivAt, hasDerivAt_inv, infEdist_smul₀, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, Submodule.smul_starProjection_singleton, summable_powerSeries_of_norm_lt_one, Complex.hasDerivAt_cos, Function.FactorizedRational.meromorphicNFOn_univ, AnalyticWithinAt.fun_inv, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, UniformContinuousOn.inv₀, Asymptotics.isLittleO_iff_tendsto', HasGradientAt.hasFDerivAt, Real.fourier_fderiv, ContinuousMap.adjoin_id_eq_span_one_union, HasFDerivWithinAt.norm_sq, ordinaryHypergeometric_radius_top_of_neg_nat₂, Complex.restrictScalars_one_smulRight, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, DifferentiableWithinAt.div_const, Complex.hasStrictDerivAt_log, DifferentiableAt.inv, AnalyticAt.fun_zpow, summable_pow_div_add, NormedSpace.expSeries_div_summable, DifferentiableWithinAt.inv, HasFDerivAt.ccosh, Filter.Tendsto.cfcₙ, tsum_choose_mul_geometric_of_norm_lt_one, NormedSpace.algebraMap_exp_comm, ProbabilityTheory.hasDerivAt_complexMGF, MeromorphicOn.divisor_fun_zpow, LinearIsometryEquiv.toSpanUnitSingleton_apply, Asymptotics.IsBigOWith.smul, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, iteratedDerivWithin_one_div, norm_inner_eq_norm_tfae, DifferentiableWithinAt.fun_div, DilationEquiv.smulTorsor_apply, intervalIntegral.integral_smul, Polynomial.isEquivalent_atTop_div, inr_comp_cfcₙHom_eq_cfcₙAux, FiniteDimensional.of_isCompact_closedBall, Polynomial.cauchyBound_one, nnnorm_cfc_le_iff, Submodule.starProjection_bot, RCLike.re_eq_add_conj, Function.FactorizedRational.analyticAt, WeakDual.polar_def, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, HasCompactMulSupport.eq_one_or_finiteDimensional, LinearMap.adjoint_toSpanSingleton, DilationEquiv.mulRight_apply, Asymptotics.superpolynomialDecay_iff_isLittleO, MeromorphicOn.divisor_zpow, analyticAt_iff_analytic_fun_smul, NormedSpace.exp_conj', logDeriv_id, LinearEquiv.extendOfIsometry_apply, WeakDual.CharacterSpace.compContinuousMap_apply, HasDerivAt.fun_div, hasDerivAt_id, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, FiniteDimensional.of_locallyCompactSpace, Polynomial.hasFDerivAt_aeval, continuous_cfcHomSuperset_left, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, deriv_zpow', Continuous.cfc_of_mem_nhdsSet, binomialSeries_radius_eq_top_of_nat, HasDerivWithinAt.div, Matrix.l2_opNNNorm_def, Filter.tendsto_inv₀_nhdsWithin_ne_zero, hasDerivAt_exp, Complex.hasDerivAt_logTaylor, HurwitzZeta.hurwitzZetaEven_one_sub_two_mul_nat, Padic.valuation_zpow, cfc_integral, norm_inv, hasStrictFDerivAt_inv, infDist_smul₀, InnerProductSpace.gramSchmidt_def', ContinuousLinearMap.isVonNBounded_iff, fderiv_inv, HurwitzZeta.sinZeta_two_mul_nat_add_one', instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, TendstoLocallyUniformly.div₀, HasCompactSupport.eq_zero_or_finiteDimensional, ContDiffOn.div, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, le_egauge_smul_right, ContDiffOn.fun_div, WeakDual.isClosed_closedBall, Meromorphic.fun_zpow, AnalyticOn.inv, fderiv_ccos, LinearMap.toSpanSingleton_homothety, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, InnerProductSpace.rankOne_def', ContinuousOn.cfc_of_mem_nhdsSet, NormedField.tendsto_norm_inv_nhdsNE_zero_atTop, Real.circleAverage_fun_smul, deriv_inv'', TendstoLocallyUniformly.fun_inv₀_of_disjoint, to_continuousInv₀, logDeriv_id', Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, DifferentiableOn.fun_inv, Real.circleAverage_smul, LinearMap.opNorm_extendOfNorm_le, hasSum_coe_mul_geometric_of_norm_lt_one, Metric.unitSphere.coe_inv, InnerProductSpace.innerSL_norm, toWeakSpace_closedConvexHull_eq, MeromorphicOn.fun_zpow, Polynomial.hasDerivWithinAt_aeval, Polynomial.hasStrictDerivAt_aeval, Asymptotics.superpolynomialDecay_iff_isBigO, AnalyticWithinAt.div_const, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, summable_norm_pow_mul_geometric_div_one_sub, Complex.restrictScalars_toSpanSingleton, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, MeromorphicOn.zpow, TendstoLocallyUniformlyOn.inv₀_of_disjoint, AnalyticOnNhd.fun_zpow, fourierSubalgebra_coe, Polynomial.toAddCircle_monomial_eq_smul_fourier, UniformContinuous.inv₀, integrableOn_cfcₙ, Complex.hasStrictDerivAt_sin, MeasureTheory.eLpNorm'_const_smul, norm_cfcₙ_le, NormedField.continuousAt_zpow, AnalyticWithinAt.fun_zpow_nonneg, coord_norm', WeakDual.isClosed_polar, analyticAt_iff_analytic_smul, spec_cfcₙAux, Asymptotics.IsEquivalent.div, AnalyticOn.zpow, integrable_cfcₙ', Metric.unitSphere.coe_zpow, StrongDual.norm_toLpₗ_le, nnnorm_cfc_le, hasFPowerSeriesOnBall_inv_one_sub, ContinuousMap.setOfIdeal_eq_compl_singleton, Complex.hasDerivAt_cosh, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, integrable_cfc', AnalyticAt.hasFPowerSeriesAt, ZLattice.volume_image_eq_volume_div_covolume, nnnorm_apply_le_nnnorm_cfc, AnalyticOnNhd.zpow, StrongDual.toLpₗ_of_not_memLp, Continuous.cfc, deriv_zpow, StrongDual.mem_polarSubmodule, derivWithin_inv', AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, MeasureTheory.eLpNorm_const_smul, DifferentiableWithinAt.div, UnitAddTorus.hasSum_mFourier_series_of_summable, Real.fourierIntegral_fderiv, cfcₙHom_real_eq_restrict, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, MeasureTheory.ComplexMeasure.im_apply, UnitAddTorus.mFourierSubalgebra_separatesPoints, norm_mul, Commute.cfcHom, DifferentiableOn.div, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, cfc_apply_mem_elemental, HasFDerivAt.csin, Complex.hasDerivAt_sin, Asymptotics.IsBigO.inv_rev, AnalyticAt.exists_eq_sum_add_pow_mul, norm_div, InnerProductSpace.gramSchmidt_def'', WStarAlgebra.exists_predual, nnnorm_cfcₙHom, ContinuousOn.cfcₙ, Complex.hasStrictDerivAt_exp, logDeriv_inv, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Padic.denseRange_ratCast, ContinuousLinearMap.adjoint_toSpanSingleton, IsStarNormal.instContinuousFunctionalCalculus, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, IsClosed.balancedCore, RCLike.ratCast_re, cfc_comp_norm, Asymptotics.IsTheta.zpow, RCLike.ofReal_div, nhds_basis_closed_balanced, Commute.cfc, HurwitzZeta.sinZeta_two_mul_nat_add_one, balancedCoreAux_subset, ContinuousOn.cfcₙ_of_mem_nhdsSet, AnalyticWithinAt.div, Asymptotics.IsLittleO.inv_rev, Polynomial.fourierCoeff_toAddCircle_natCast, ContinuousMap.spectrum_eq_range, innerSLFlip_apply, hasDerivAt_const_mul, InnerProductSpace.toContinuousLinearMap_toDualMap, IsSelfAdjoint.commute_cfcₙHom, Polynomial.fderivWithin_aeval, Polynomial.cauchyBound_zero, Polynomial.fderivWithin, HasFDerivWithinAt.const_cpow, Polynomial.hasDerivAt, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, WeakDual.CharacterSpace.norm_le_norm_one, cfcL_integral, Submodule.reflection_bot, innerSL_apply_norm, InnerProductSpace.toDual_apply_eq_toDualMap_apply, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, iter_deriv_inv, AccPt.uniqueDiffWithinAt, hasDerivWithinAt_zpow, hasFPowerSeriesOnBall_cuspFunction, fderivWithin_inv, MeasureTheory.charFun_eq_charFunDual_toDualMap, Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero, egauge_eq_zero_iff, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, fderivWithin_csin, norm_cfc_le, AnalyticOnNhd.zpow_nonneg, RCLike.norm_nnratCast, iter_deriv_inv', WeakDual.CharacterSpace.mem_spectrum_iff_exists, analyticOn_inv, rescale_to_shell_zpow, MeasureTheory.lpNorm_div_natCast, AnalyticWithinAt.zpow_nonneg, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, AnalyticOn.div, AnalyticAt.zpow_nonneg, RCLike.ofReal_nnratCast, toNormSMulClass, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, ediam_smul₀, Padic.valuation_ratCast, NormedField.tendsto_norm_zpow_nhdsNE_zero_atTop, TendstoLocallyUniformlyOn.fun_inv₀, deriv_div, Continuous.cfcₙ', Padic.withValUniformEquiv_cast_apply, AnalyticOnNhd.div, spectrum.exp_mem_exp, NormedSpace.exp_neg, MeromorphicOn.extract_zeros_poles, ContinuousOn.cfc', cfcₙAux_mem_range_inr, Asymptotics.IsLittleO.tendsto_inv_smul_nhds_zero, ContinuousMap.adjoin_id_eq_span_one_add, cfcₙ_norm_sq_nonneg, Padic.coe_withValRingEquiv, one_add_cpow_hasFPowerSeriesOnBall_zero, Matrix.toLin_finTwoProd_toContinuousLinearMap, hasSum_fourier_series_of_summable, RCLike.ratCast_im, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, AnalyticOn.fun_zpow_nonneg, AnalyticWithinAt.zpow, Complex.hasStrictDerivAt_cpow_const, ContDiffWithinAt.div, Asymptotics.isEquivalent_iff_tendsto_one, hasDerivAt_neg, Padic.isUniformInducing_cast_withVal, Polynomial.hasStrictDerivAt, TendstoLocallyUniformly.inv₀_of_disjoint, Commute.cfcₙ, NormedSpace.of_real_exp_ℝ_ℝ, nnnorm_commutator_sub_one_le, summable_geometric_iff_norm_lt_one, ContinuousAt.cfcₙ, TendstoLocallyUniformly.inv₀, AnalyticAt.fun_inv, Padic.norm_rat_le_one, nnnorm_cfcₙ_le_iff, fderiv_ccosh, NormedSpace.expSeries_div_hasSum_exp, MeasureTheory.integrable_smul_iff, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.cpow, Padic.rat_dense, hasFDerivWithinAt_iff_hasGradientWithinAt, MeromorphicOn.fun_div, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, HasDerivAt.div_const, nnnorm_cfc_lt_iff, hasDerivAt_pow, RCLike.normSq_div, AnalyticAt.fun_div, Function.FactorizedRational.extractFactor, Polynomial.div_tendsto_atTop_zero_of_degree_lt, hasStrictDerivAt_exp, HasDerivAt.div, Complex.instContinuousMapUniqueHom, Complex.hasDerivAt_Gamma_one, Polynomial.div_tendsto_zero_of_degree_lt, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, AnalyticOnNhd.div_const, norm_zpow, Polynomial.hasFDerivWithinAt_aeval, continuousOn_cfcₙ_setProd, fourierSubalgebra_closure_eq_top, Differentiable.div_const, hasStrictDerivAt_inv, logDeriv_fun_zpow, Unitization.complex_cfcₙ_eq_cfc_inr, Padic.coe_withValRingEquiv_symm, ContDiffOn.div_const, MeromorphicAt.zpow, innerSL_apply, Metric.unitSphere.coe_div, StrongDual.toLp_apply, MeasureTheory.Integrable.div_const, uniformContinuousOn_inv₀, to_isTopologicalDivisionRing, iter_deriv_inv_linear_sub, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, DifferentiableWithinAt.zpow, Complex.hasDerivAt_Gamma_one_half, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, norm_apply_le_norm_cfc, absorbs_iff_eventually_nhds_zero, meromorphicOrderAt_zpow, PadicComplex.rankOne_hom_eq, exists_extension_norm_eq, AnalyticAt.div_const, Complex.subfield_eq_of_closed, integrable_cfc, UnitAddTorus.span_mFourier_closure_eq_top, ContinuousLinearMap.norm_smulRightL_le, MeromorphicAt.div, hasDerivAt_single, Asymptotics.IsBigOWith.inv_rev, derivWithin_div, Asymptotics.isLittleO_iff_tendsto, norm_cfcHom, TendstoLocallyUniformly.fun_div₀, analyticAt_inv, MeasureTheory.ComplexMeasure.re_apply, signedDist_apply, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, WeakDual.CharacterSpace.equivAlgHom_coe, cfc_real_eq_complex, HasFDerivAt.hasGradientAt, ordinaryHypergeometric_radius_top_of_neg_nat₁, Complex.hasDerivAt_tan, le_egauge_of_forall_ne_zero, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, NormedSpace.norm_expSeries_div_summable, Real.hasFDerivAt_fourierChar_neg_bilinear_right, Padic.norm_rat_le_one_iff_padicValuation_le_one, Polynomial.cauchyBound_X_add_C, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, HasStrictDerivAt.div_const, ContinuousLinearEquiv.coord_norm', cfc_setIntegral', DifferentiableAt.div_const, AnalyticOnNhd.fun_zpow_nonneg, HasFPowerSeriesAt.eq_zero_of_eventually, Asymptotics.IsLittleO.eventually_mul_div_cancel, cfcₙ_setIntegral', hasStrictFDerivAt_inv', hasDerivAt_mul_const, cfcₙ_apply_mem_elemental, analyticAt_inv_one_sub, Asymptotics.isBigO_const_smul_left, Complex.hasStrictFDerivAt_log_real, NumberField.InfinitePlace.Completion.WithAbs.ratCast_equiv, iter_deriv_inv_linear, AnalyticAt.div, MeromorphicAt.fun_zpow, WeakDual.toStrongDual_apply, ContinuousMap.elemental_id_eq_top, DifferentiableOn.fun_div, IsSelfAdjoint.commute_cfcₙ, gelfandTransform_isometry, WeakDual.CharacterSpace.compContinuousMap_comp, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, norm_apply_le_norm_cfcₙ, fderiv_csinh, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, range_cfcHom, Polynomial.cauchyBound_X_sub_C, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, nnnorm_cfcHom, integrableOn_cfc, WeakDual.CharacterSpace.equivAlgHom_symm_coe, continuousOn_cfc, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, RCLike.div_re, HasStrictFDerivAt.ccosh, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, fderiv_norm_rpow, Polynomial.toAddCircle_X_eq_fourier_one, MeromorphicAt.fun_div, differentiableWithinAt_zpow, LSeries_hasDerivAt, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, AnalyticAt.fun_zpow_nonneg, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, isCoveringMapOn_zpow, AnalyticOn.div_const, HasGradientAt.hasDerivAt, analyticOnNhd_inv, hasDerivAt_exp_zero, InnerProductSpace.continuousLinearMapOfBilin_apply, NormedSpace.double_dual_bound, to_hasContinuousInv₀, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, fderiv_csin, WeakDual.isSeqCompact_polar, ContinuousMap.idealOf_compl_singleton_isMaximal, Filter.tendsto_inv₀_nhdsNE_zero, DifferentiableWithinAt.fun_inv, hasDerivWithinAt_inv, hasStrictDerivAt_id, cfcₙL_integrable, Complex.hasDerivAt_exp, HasFDerivAt.cpow, Polynomial.hasFDerivWithinAt, egauge_smul_right, IsStarNormal.instIsometricContinuousFunctionalCalculus, differentiableAt_inv, AnalyticAt.inv, Complex.hasDerivAt_log_sub_logTaylor, HasFPowerSeriesAt.locally_zero_iff, innerSL_apply_coe, ContinuousWithinAt.cfc, derivWithin_fun_inv', Meromorphic.fun_div, hasFDerivAt_inv', WeakDual.CharacterSpace.exists_apply_eq_zero, Complex.hasDerivAt_log, Polynomial.cauchyBound_X, hasDerivAt_zpow, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, WeakDual.CharacterSpace.compContinuousMap_id, Matrix.l2_opNorm_def, nnnorm_cfcₙ_le, NumberField.InfinitePlace.Completion.Rat.norm_infinitePlace_completion, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, Polynomial.toAddCircle_C_eq_smul_fourier_zero, MeasureTheory.integrable_fun_smul_iff, norm_innerSL_le, BoundedContinuousFunction.separatesPoints_charPoly, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.csinh, PadicInt.unitCoeff_coe, ContinuousMap.idealOfSet_ofIdeal_isClosed, Polynomial.Gal.splits_ℚ_ℂ, MontelSpace.finiteDimensional_of_normedSpace, enorm_inv, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, nnnorm_zpow, cfcHom_eq_of_isStarNormal, HasGradientWithinAt.hasFDerivWithinAt, Polynomial.hasDerivWithinAt, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, Asymptotics.isLittleO_mul_iff_isLittleO_div, NumberField.Units.basisOfIsMaxRank_fundSystem, UniformConvergenceCLM.isVonNBounded_iff, range_cfc, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, Polynomial.fourierCoeff_toAddCircle, hasFDerivAt_inv, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, ContinuousMap.isUnit_iff_forall_ne_zero, Differentiable.inv, MeromorphicAt.meromorphicTrailingCoeffAt_zpow, ContinuousLinearMap.smulRightL_apply_apply, logDeriv_pow, BoundedContinuousFunction.char_add_eq_mul, padicNorm_two_harmonic, Padic.norm_p_zpow, AnalyticOnNhd.fun_inv, egauge_zero_right, HasGradientAtFilter.hasDerivAtFilter, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, norm_cfcₙ_le_iff, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, ContinuousMap.idealOfSet_ofIdeal_eq_closure, continuousFunctionalCalculus_map_id, Padic.isDenseInducing_cast_withVal, logDeriv_zpow, AnalyticAt.zpow, RCLike.re_extendTo𝕜'ₗ, isBoundedBilinearMap_smulRight, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, ContinuousLinearMap.adjoint_innerSL_apply, LSeries.hasDerivAt_term, binomialSeries_radius_ge_one, Differentiable.div, CFC.complex_exp_eq_normedSpace_exp, deriv_div_const, balancedCore_eq_iInter, ContinuousMap.idealOfSet_isMaximal_iff, ContDiffWithinAt.div_const, ContinuousLinearMap.norm_smulRightL_apply, cfcₙ_complex_eq_real, fderiv_norm_sq_apply, IsSelfAdjoint.commute_cfc, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, cfc_setIntegral, differentiableOn_inv, PadicComplexInt.integers, NormedSpace.dual_def, UniformContinuous.fun_inv₀, fderiv_norm_sq, ContinuousMap.idealOpensGI_choice, IntervalIntegrable.div_const, WeakDual.CharacterSpace.instStarHomClass, Filter.tendsto_inv₀_cobounded', balancedCoreAux_empty, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, norm_cfc_lt, Asymptotics.IsBigO.smul_isLittleO, ContinuousLinearMap.innerSL_apply_comp, Balanced.smul_mono, ContinuousLinearMap.toSesqForm_apply_norm_le, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, cfc_integral', differentiableOn_zpow, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, Function.FactorizedRational.meromorphicNFOn, RCLike.div_I, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, ContDiff.div, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, RCLike.ofReal_ratCast, balancedCore_subset_balancedCoreAux, AnalyticOnNhd.inv, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, fderiv_inv', cfcₙ_integral', norm_inner_div_norm_mul_norm_eq_one_iff, egauge_smul_left, hasStrictDerivAt_neg, nnnorm_cfcₙ_lt
toMetricSpace 📖	CompOp	5 math math: dist_eq, DilationEquiv.mulRight_symm_apply, DilationEquiv.mulLeft_symm_apply, DilationEquiv.mulLeft_apply, DilationEquiv.mulRight_apply
toNorm 📖	CompOp	52 math math: Asymptotics.isBigOWith_mul_iff_isBigOWith_div, diam_smul₀, Asymptotics.isLittleO_of_tendsto', isUltrametricDist_iff_forall_norm_natCast_le_one, Asymptotics.isBigO_iff_div_isBoundedUnder, dist_inv_inv₀, tendsto_norm_inv_nhdsNE_zero_atTop, Asymptotics.isLittleO_pow_pow, LinearEquiv.toSpanNonzeroSingleton_homothety, toNormMulClass, Asymptotics.isLittleO_of_tendsto, lp.norm_const_smul, dist_eq, norm_commutator_sub_one_le, Asymptotics.isLittleO_pow_id, Quaternion.expSeries_odd_of_imaginary, Asymptotics.isBigO_mul_iff_isBigO_div, Quaternion.exp_of_re_eq_zero, NumberField.place_apply, norm_eq_one_iff_ne_zero_of_discrete, Quaternion.re_exp, to_normOneClass, Asymptotics.isLittleO_iff_tendsto', Quaternion.expSeries_even_of_imaginary, Asymptotics.isBigOWith_iff_exists_eq_mul, norm_inv, infDist_smul₀, Asymptotics.isBigO_of_div_tendsto_nhds_of_ne_zero, LinearMap.toSpanSingleton_homothety, NormedField.tendsto_norm_inv_nhdsNE_zero_atTop, Quaternion.im_exp, NormedSpace.norm_expSeries_div_summable_of_mem_ball, Asymptotics.isBigO_of_div_tendsto_nhds, Asymptotics.isLittleO_iff_exists_eq_mul, norm_mul, norm_div, toNormSMulClass, Quaternion.norm_exp, NormedField.tendsto_norm_zpow_nhdsNE_zero_atTop, Asymptotics.isBigO_iff_exists_eq_mul, Summable.norm_lt_one, summable_geometric_iff_norm_lt_one, norm_zpow, spectralValue_le_one_iff, Asymptotics.isLittleO_iff_tendsto, NormedSpace.norm_expSeries_div_summable, DilationEquiv.smulTorsor_preimage_ball, norm_le_one_of_discrete, Asymptotics.isLittleO_mul_iff_isLittleO_div, balancedCore_eq_iInter, Quaternion.norm_toLp_equivTuple, Quaternion.exp_eq
toNormedRing 📖	CompOp	176 math math: absorbent_iff_eventually_nhdsNE_zero, nnnorm_inv, hasSum_geometric_of_norm_lt_one, Bornology.isVonNBounded_iff_tendsto_smallSets_nhds, MeasureTheory.eLpNormEssSup_const_smul, NormedSpace.exp_zsmul, iteratedDerivWithin_const_mul_field, hasSum_choose_mul_geometric_of_norm_lt_one, tsum_coe_mul_geometric_of_norm_lt_one', Filter.inv_nhdsWithin_ne_zero, ordinaryHypergeometric_radius_top_of_neg_nat₃, tendsto_zpow_nhdsNE_zero_cobounded, Quaternion.continuous_imI, deriv_mul_const_field, Bornology.isVonNBounded_pi_iff, isUltrametricDist_iff_forall_norm_natCast_le_one, tsum_coe_mul_geometric_of_norm_lt_one, Filter.map_mul_left_cobounded, iteratedDeriv_div_const, differentiableWithinAt_inv, Filter.map_mul_right_cobounded, Filter.inv_nhdsNE_zero, tsum_geometric_of_norm_lt_one, egauge_univ, dist_inv_inv₀, tendsto_norm_inv_nhdsNE_zero_atTop, ordinaryHypergeometricSeries_radius_eq_one, Quaternion.instCStarRingReal, egauge_zero_zero, Asymptotics.IsBigO.listProd, Quaternion.linearIsometryEquivTuple_symm_apply, binomialSeries_radius_eq_one, Asymptotics.IsLittleO.tendsto_div_nhds_zero, Asymptotics.isLittleO_pow_pow, nnnorm_div, uniqueDiffWithinAt_iff_accPt, balancedCore_mem_nhds_zero, Bornology.isVonNBounded_iff_absorbing_le, LinearEquiv.toSpanNonzeroSingleton_homothety, toNormMulClass, Filter.inv_cobounded₀, ContinuousMap.spectrum_eq_preimage_range, subset_balancedCore, nndist_inv_inv₀, Polynomial.cauchyBound_smul, NormedSpace.exp_conj, deriv_const_mul_field', unitSphereToUnits_apply_coe, infEDist_smul₀, Filter.tendsto_inv₀_cobounded, norm_commutator_sub_one_le, Asymptotics.IsBigO.eventually_mul_div_cancel, absorbs_iff_eventually_nhdsNE_zero, egauge_le_one, Asymptotics.isLittleO_pow_id, MeasureTheory.Measure.hausdorffMeasure_smul₀, Quaternion.expSeries_odd_of_imaginary, unitSphereToUnits_injective, derivWithin_div_const, le_egauge_smul_left, Quaternion.continuous_imJ, nhds_basis_balanced, Quaternion.instCompleteSpaceReal, FormalMultilinearSeries.radius_smul_eq, deriv_const_mul_field, IsUltrametricDist.of_normedAlgebra, Quaternion.exp_of_re_eq_zero, Asymptotics.IsBigOWith.eventually_mul_div_cancel, Quaternion.re_exp, to_normOneClass, infEdist_smul₀, Asymptotics.isLittleO_iff_tendsto', ordinaryHypergeometric_radius_top_of_neg_nat₂, Quaternion.expSeries_even_of_imaginary, NormedSpace.expSeries_div_summable, tsum_choose_mul_geometric_of_norm_lt_one, Asymptotics.IsBigOWith.exists_eq_mul, LinearIsometryEquiv.toSpanUnitSingleton_apply, derivWithin_mul_const_field, NormedSpace.exp_conj', Asymptotics.isBigOWith_iff_exists_eq_mul, binomialSeries_radius_eq_top_of_nat, Filter.tendsto_inv₀_nhdsWithin_ne_zero, ContinuousLinearMap.isVonNBounded_iff, Quaternion.normSq_exp, le_egauge_smul_right, NormedField.tendsto_norm_inv_nhdsNE_zero_atTop, Quaternion.im_exp, to_continuousInv₀, hasSum_coe_mul_geometric_of_norm_lt_one, Metric.unitSphere.coe_inv, egauge_le_of_smul_mem, Quaternion.summable_coe, unitClosedBall_eq_univ_of_discrete, MeasureTheory.eLpNorm'_const_smul, Metric.unitSphere.coe_zpow, hasFPowerSeriesOnBall_inv_one_sub, Quaternion.tsum_coe, Quaternion.continuous_im, MeasureTheory.eLpNorm_const_smul, Asymptotics.isLittleO_iff_exists_eq_mul, IsClosed.balancedCore, nhds_basis_closed_balanced, balancedCoreAux_subset, Asymptotics.IsBigO.exists_eq_mul, AccPt.uniqueDiffWithinAt, instHasSummableGeomSeries, egauge_eq_zero_iff, analyticOn_inv, ordinaryHypergeometricSeries_eq_zero_iff, ediam_smul₀, Quaternion.norm_exp, Quaternion.continuous_coe, NormedField.tendsto_norm_zpow_nhdsNE_zero_atTop, NormedSpace.exp_neg, IsUltrametricDist.normedAlgebra_iff, Asymptotics.isBigO_iff_exists_eq_mul, DilationEquiv.smulTorsor_ratio, nnnorm_commutator_sub_one_le, summable_geometric_iff_norm_lt_one, Asymptotics.IsLittleO.listProd, NormedSpace.expSeries_div_hasSum_exp, iteratedDeriv_mul_const_field, Filter.tendsto_mul_left_cobounded, Metric.unitSphere.coe_div, to_isTopologicalDivisionRing, absorbs_iff_eventually_nhds_zero, spectralValue_le_one_iff, analyticAt_inv, ordinaryHypergeometric_radius_top_of_neg_nat₁, NormedSpace.norm_expSeries_div_summable, Polynomial.cauchyBound_X_add_C, Asymptotics.IsLittleO.eventually_mul_div_cancel, hasStrictFDerivAt_inv', analyticAt_inv_one_sub, iteratedDeriv_const_mul_field, Polynomial.cauchyBound_X_sub_C, Quaternion.hasSum_expSeries_of_imaginary, ContinuousLinearMap.opNorm_lsmul, Filter.tendsto_mul_right_cobounded, analyticOnNhd_inv, to_hasContinuousInv₀, Quaternion.linearIsometryEquivTuple_apply, Filter.tendsto_inv₀_nhdsNE_zero, egauge_smul_right, differentiableAt_inv, hasFDerivAt_inv', tangentConeAt_eq_univ, Quaternion.hasSum_coe, Quaternion.continuous_imK, enorm_inv, nnnorm_zpow, deriv_mul_const_field', UniformConvergenceCLM.isVonNBounded_iff, Asymptotics.IsLittleO.exists_eq_mul, ContinuousMap.isUnit_iff_forall_ne_zero, derivWithin_const_mul_field, egauge_zero_right, Quaternion.continuous_normSq, Quaternion.continuous_re, iteratedDerivWithin_mul_const_field, binomialSeries_radius_ge_one, deriv_div_const, balancedCore_eq_iInter, Quaternion.exp_coe, differentiableOn_inv, Quaternion.exp_eq, egauge_le_of_smul_mem_of_ne, Filter.tendsto_inv₀_cobounded', balancedCoreAux_empty, Polynomial.IsRoot.norm_lt_cauchyBound, intervalIntegral.integral_const_mul, balancedCore_subset_balancedCoreAux, Metric.sphere.instIsTopologicalGroup, fderiv_inv', egauge_smul_left

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm Ring.toSub DivisionRing.toRing toDivisionRing	—	—
norm_eq_one_iff_ne_zero_of_discrete 📖	mathematical	—	Norm.norm toNorm Real Real.instOne	—	Mathlib.Tactic.Contrapose.contrapose₃ norm_zero NeZero.charZero_one IsStrictOrderedRing.toCharZero Real.instIsStrictOrderedRing isOpen_discrete sub_zero dist_eq_norm exists_pow_lt_of_lt_one Real.instArchimedean AddGroup.existsAddOfLE isReduced_of_noZeroDivisors NormMulClass.toNoZeroDivisors toNormMulClass IsSimpleRing.instNontrivial DivisionRing.isSimpleRing norm_pow to_normOneClass LE.le.eq_or_lt inv_lt_one_of_one_lt₀ PosMulReflectLE.toPosMulReflectLT PosMulStrictMono.toPosMulReflectLE IsStrictOrderedRing.toPosMulStrictMono Real.instZeroLEOneClass norm_inv inv_one
norm_le_one_of_discrete 📖	mathematical	—	Real Real.instLE Norm.norm toNorm Real.instOne	—	eq_or_ne norm_zero Real.instZeroLEOneClass norm_eq_one_iff_ne_zero_of_discrete
norm_mul 📖	mathematical	—	Norm.norm toNorm NonUnitalNonAssocSemiring.toMul NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring DivisionRing.toRing toDivisionRing Real Real.instMul	—	—
toNormMulClass 📖	mathematical	—	NormMulClass toNorm Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing NormedRing.toRing toNormedRing	—	norm_mul
to_normOneClass 📖	mathematical	—	NormOneClass toNorm AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing toNormedRing	—	mul_left_cancel₀ IsCancelMulZero.toIsLeftCancelMulZero IsDomain.toIsCancelMulZero Real.instIsDomain norm_eq_zero one_ne_zero' NeZero.one IsSimpleRing.instNontrivial DivisionRing.isSimpleRing norm_mul toNormMulClass mul_one
unitClosedBall_eq_univ_of_discrete 📖	mathematical	—	Metric.closedBall SeminormedRing.toPseudoMetricSpace NormedRing.toSeminormedRing toNormedRing MulZeroClass.toZero NonUnitalNonAssocSemiring.toMulZeroClass NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing NormedRing.toRing Real Real.instOne Set.univ	—	Set.ext dist_zero_right

NormedField

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toField 📖	CompOp	4855 math math: withSeminorms_iff_mem_nhds_isVonNBounded, Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.det_toContinuousLinearMap, mfderiv_sumSwap, TangentBundle.continuousLinearMapAt_model_space, hasFDerivAt_iff_hasDerivAt, ContinuousLinearEquiv.antilipschitz, VectorBundleCore.toFiberBundleCore_coordChange, ContMDiffAt.coordChangeL, iteratedDeriv_scomp_two, TensorProduct.mapInclIsometry_apply, ContinuousLinearMap.rayleigh_smul, mfderiv_prod_eq_add, Real.hasDerivAt_arccos, Real.hasDerivAt_fourier, InnerProductSpace.Core.inner_smul_right, RCLike.conj_re, LinearIsometryEquiv.strictConvex_preimage, TemperedDistribution.lineDerivOpCLM_eq, PiTensorProduct.mapL_id, ContinuousLinearMap.instT2Space, Submodule.starProjection_apply_eq_isComplProjection, DiffContOnCl.smul, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Polynomial.differentiableWithinAt, RCLike.sqrt_eq_ite, MeasureTheory.convolution_flip, Trivialization.pullback_linear, FormalMultilinearSeries.comp_rightInv_aux1, ContinuousLinearMap.hasFPowerSeriesOnBall, MDifferentiable.coordChangeL, ContinuousLinearEquiv.conjContinuousAlgEquiv_refl, hasStrictFDerivAt_apply, differentiableWithinAt_finCons', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, Orthonormal.linearIndependent, ContinuousMultilinearMap.norm_mkPiRing, fderiv_snd, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, LinearIsometryEquiv.hasStrictFDerivAt, Bundle.Trivial.continuousLinearEquivAt_trivialization, ContinuousLinearMap.derivWithin_of_bilinear, HasStrictFDerivAt.isLittleOTVS, SchwartzMap.lineDerivOpCLM_eq, MeasureTheory.lpNorm_conj, AddChar.card_addChar_le, TensorProduct.enorm_lid, hasDerivWithinAt_Iio_iff_Iic, HasStrictFDerivAt.fun_mul', unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, TensorProduct.inner_tmul, fderivWithin_ofNat, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, RCLike.one_re, HasMFDerivAt.mul, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, LinearIsometryEquiv.comp_fderiv, MeasureTheory.condExpL1_smul, Seminorm.absorbent_closedBall_zero, ContinuousLinearMap.isBigO_comp, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, ContinuousAlternatingMap.opNorm_prod, Orthonormal.inner_left_finsupp, LeftInvariantDerivation.lift_zero, ProbabilityTheory.isGaussian_iff_gaussian_charFun, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, RCLike.map_apply, OrthonormalBasis.orthogonalProjection_eq_sum, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, RCLike.geometric_hahn_banach_point_open, fderivWithin_comp_derivWithin_of_eq, ContinuousLinearEquiv.differentiable, ContinuousLinearMap.opNorm_prod, hasDerivWithinAt_add_const_iff, LinearMap.coe_toSeminorm, ContinuousLinearMap.integral_compLp, FormalMultilinearSeries.comp_partialSum, tendsto_birkhoffAverage_apply_sub_birkhoffAverage', LinearMap.adjoint_adjoint, DoubleCentralizer.star_snd, ContinuousLinearMap.norm_inr_le_one, TensorProduct.ext_iff_inner_left, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, Matrix.IsHermitian.isClosedEmbedding_cfcAux, InnerProductSpace.toLinearIsometry_toDual, IsUltrametricDist.algNormOfAlgEquiv_extends, RCLike.normSq_to_real, Seminorm.continuous_of_continuous_comp, HasMFDerivAt.add, WithSeminorms.image_isVonNBounded_iff_seminorm_bounded, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, Filter.IsBoundedUnder.smul_tendsto_zero, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, InnerProductSpace.span_gramSchmidtNormed, LinearIsometryEquiv.analyticOnNhd, QuadraticMap.lineDeriv, hasStrictDerivAt_intCast, ContinuousAlternatingMap.uniformContinuous_eval_const, cfcₙ_norm_nonneg, LeftInvariantDerivation.leibniz, MeasureTheory.convolution_eq_right', Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, RCLike.reCLM_apply, cfcₙHom_apply_mem_elemental, ContinuousMultilinearMap.cpolynomialOn, LinearIsometry.norm_compContinuousAlternatingMap, IsHilbertSum.surjective_isometry, curveIntegral_smul, RCLike.div_re_ofReal, ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric, Submodule.reflection_trans_reflection, extDeriv_constOfIsEmpty, RCLike.separate_convex_open_set, Bundle.Trivial.symmL_trivialization, Real.fderiv_fourierIntegral, Submodule.orthogonalDecomposition_symm_apply, hasStrictFDerivAt_list_prod_finRange', OrthogonalFamily.linearIsometry_apply_single, ContinuousLinearMapWOT.neg_apply, LinearIsometry.nnnorm_toContinuousLinearMap, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, InnerProductSpace.rankOne_one_left_eq_innerSL, ContDiff.fderiv_succ, Submodule.IsOrtho.starProjection_comp_starProjection, fderiv_intCast, Subalgebra.spectrum_sUnion_connectedComponentIn, ContMDiffMap.coeFnAlgHom_apply, Function.FactorizedRational.divisor, NonUnitalCStarAlgebra.toStarModule, hasDerivAt_sqrt_mul_log, Filter.EventuallyEq.fderivWithin, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, LinearMap.IsSymmetric.restrictScalars, fderivWithin_one, ContinuousLinearMap.continuous_det, HasFiniteFPowerSeriesAt.neg, Polynomial.isEquivalent_atBot_div, PiTensorProduct.mapLMonoidHom_apply, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ClosedSubmodule.toSubmodule_orthogonal_eq, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.isEmbedding_restrictScalars, ContinuousAlternatingMap.norm_constOfIsEmpty, HasFDerivWithinAt.pow, ContinuousLinearMap.sSup_unit_ball_eq_norm, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, WeakDual.isCompact_polar, hasFDerivWithinAt_const, MeromorphicOn.divisor_fun_smul, ContinuousAlternatingMap.isClosedEmbedding_toContinuousMultilinearMap, nnnorm_cfc_lt, hasFDerivAt_one, Real.hasDerivAt_sigmoid, taylorWithinEval_hasDerivAt_Ioo, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, ContinuousLinearMap.analyticWithinAt, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, ContinuousLinearEquiv.toCompactConvergenceCLM_symm_apply, HasFDerivWithinAt.add, Matrix.IsHermitian.det_abs, MDifferentiableAt.mfderiv_prod, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, LinearMap.IsPositive.ne_zero_iff, hasFDerivAtFilter_pi, ModularForm.mul_slash, ContinuousLinearMap.toLinearMap₁₂_injective, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, curveIntegrable_segment, hasFDerivAt_multiset_prod, Asymptotics.IsEquivalent.multisetProd, LinearMap.isPositive_adjoint_comp_self, Manifold.IsImmersionAt.map_target_subset_target, BoundedContinuousFunction.algebraMap_apply, Submodule.toLinearEquiv_orthogonalDecomposition_symm, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, spectrum.subset_closedBall_norm_mul, OrthonormalBasis.repr_injective, LinearMap.IsSymmetric.isFinitelySemisimple, spectrum.instCompactSpace, ContinuousLinearMap.continuousSMul, RCLike.re_add_im, hasFTaylorSeriesUpToOn_top_iff_right, InnerProductSpace.Core.inner_mul_inner_self_le, ContinuousLinearMap.IsPositive.inner_left_eq_inner_right, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, smoothSheafCommRing.nonunits_stalk, MeasureTheory.convolution_mul, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, HasFPowerSeriesWithinOnBall.hasSum_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, intervalIntegral.integral_hasDerivWithinAt_right, Matrix.spectrum_toEuclideanLin, ContDiff.iteratedFDeriv_right, Bornology.isVonNBounded_add_of_nonempty, FormalMultilinearSeries.radius_pi_eq_iInf, ContinuousLinearMap.norm_inl_le_one, MeasureTheory.norm_condExpL2_le, ContinuousLinearEquiv.contDiff_comp_iff, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, InnerProductSpace.isIdempotentElem_rankOne_self, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, ContinuousMultilinearMap.norm_map_snoc_le, LineDifferentiableWithinAt.smul, MeasureTheory.Measure.MapLinearEquiv.isAddHaarMeasure, Meromorphic.fun_inv, ImplicitFunctionData.isInvertible_fderiv_prodFun, Trivialization.continuousLinearMapAt_apply, iteratedFDerivWithin_eventually_congr_set, ApproximatesLinearOn.lipschitz, Real.hasStrictDerivAt_rpow_const_of_ne, ContinuousAlternatingMap.isUniformEmbedding_toContinuousMultilinearMap, StrongDual.polarSubmodule_eq_setOf, ContinuousLinearMap.continuous_integral_comp_L1, ContinuousLinearMap.isBigOWith_sub, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, ContinuousLinearMap.isUniformEmbedding_restrictScalars, hasDerivWithinAt_taylorWithinEval, RCLike.star_def, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, HasFTaylorSeriesUpTo.cont, ImplicitFunctionData.isCompl_ker, ContinuousLinearMap.hasDerivAtFilter, fderivWithin_csinh, DoubleCentralizer.intCast_snd, DoubleCentralizer.range_toProdMulOpposite, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, ContinuousLinearMapWOT.withSeminorms, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, Submodule.re_inner_starProjection_eq_normSq, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, differentiableWithinAt_pi'', VectorField.fderiv_apply_lieBracket, MeasureTheory.inner_condExpL2_left_eq_right, AnalyticOnNhd.compContinuousLinearMap, AffineIsometryEquiv.linear_eq_linear_isometry, Bornology.isVonNBounded_add_self, WeakDual.isClosed_image_polar_of_mem_nhds, fderiv_id, ZLattice.covolume_eq_det_inv, RCLike.algebraMap_eq_ofReal, Module.Basis.constrL_basis, Submodule.reflection_orthogonal_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', ContinuousLinearMap.comp_memLp, MeasureTheory.integral_fintype_prod_volume_eq_pow, Real.fderiv_fourierChar_neg_bilinear_right_apply, LinearMap.IsSymmetric.diagonalization_apply_self_apply, LinearMap.IsPositive.re_inner_nonneg_right, ContinuousAlternatingMap.instIsUniformAddGroup, Real.fourier_continuousLinearMap_apply, norm_iteratedFDeriv_mul_le, intervalIntegral.fderiv_integral_of_tendsto_ae, NumberField.InfinitePlace.Completion.surjective_extensionEmbedding_of_isComplex, ContDiffAt.fderiv_right_succ, flip_innerSL_real, Submodule.starProjection_orthogonal', RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, NormedSpace.isBounded_iff_subset_smul_ball, AffineIsometryEquiv.ofTop_apply, DoubleCentralizer.natCast_fst, hasFPowerSeriesOnBall_pi_iff, LinearMap.IsSymmetric.im_inner_self_apply, DifferentiableAt.prodMap, ContinuousLinearMap.IsPositive.toLinearMap, AnalyticOnNhd.iteratedFDeriv_of_isOpen, ContinuousLinearMap.norm_compLp_le, Submodule.toLinearEquiv_orthogonalDecomposition, Continuous.convolution_integrand_fst, MDifferentiableOn.smul_const_section, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContinuousLinearEquiv.symm_toDiffeomorph, ContDiffMapSupportedIn.structureMapCLM_apply, RCLike.sub_conj, OrthonormalBasis.toBasis_tensorProduct, RCLike.re_sqrt_ofReal, TensorProduct.congrIsometry_refl_refl, eventually_enorm_mfderivWithin_symm_extChartAt_lt, ContinuousAlternatingMap.opNNNorm_pi, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, tangentMap_snd, SchwartzMap.lineDerivOp_fourier_eq, RCLike.pos_iff, isClosedEmbedding_cfcₙAux, AddChar.wInner_cWeight_self, LeftInvariantDerivation.coe_derivation, TensorProduct.enorm_comm, innerSL_apply_apply, ContinuousLinearMapWOT.instIsUniformAddGroup, Submodule.isOrtho_sup_right, RCLike.norm_expect_le, fderiv_multiset_prod, Polynomial.eventually_atBot_not_isRoot, HasFPowerSeriesWithinOnBall.restrictScalars, NormedSpace.isVonNBounded_iff, CFC.abs_eq_cfcₙ_coe_norm, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, SeminormFamily.filter_eq_iInf, aemeasurable_smul_const, LinearIsometry.rTensor_def, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, VectorField.fderiv_apply_lieBracket_of_isSymmSndFDerivAt, EuclideanSpace.inner_single_left, HasFTaylorSeriesUpTo.hasFDerivAt, HasFDerivAtFilter.fun_sum, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, LinearMap.continuousLinearMapClassOfFiniteDimensional, hasDerivAt_neg', ContMDiffWithinAt.mfderivWithin_const, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, HasFDerivAtFilter.sub, Unitization.splitMul_apply, inner_eq_norm_mul_iff, ContinuousLinearMap.toBilinForm_apply, DoubleCentralizer.nnnorm_def', ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, Seminorm.bddAbove_range_iff, fderivWithin_zero_of_not_accPt, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, NormedSpace.image_isVonNBounded_iff, VectorField.mpullbackWithin_smul, eqOn_dslope_sub_smul, Submodule.orthogonalProjection_mem_subspace_eq_self, ContinuousLinearMap.nnnorm_def, ContinuousLinearMap.IsPositive.inner_nonneg_right, DoubleCentralizer.zero_snd, LeftInvariantDerivation.left_invariant', selfAdjoint.expUnitaryPathToOne_apply, FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius, hasDerivAt_bernoulliFun, ContinuousLinearMap.norm_compContinuousMultilinearMap_le, FormalMultilinearSeries.le_changeOriginSeries_radius, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, derivWithin_fderivWithin, HasFDerivWithinAt.prodMap, mfderiv_comp, GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpace, InnerProductSpace.span_gramSchmidtNormed_range, HasFDerivWithinAt.hasLineDerivWithinAt, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, Submodule.orthogonal_disjoint, ApproximatesLinearOn.surjOn_closedBall_of_nonlinearRightInverse, ContDiffPointwiseHolderAt.isBigO, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, SchwartzMap.decay', Module.Basis.ofZLatticeBasis_apply, Seminorm.smul_inf, ContinuousAlternatingMap.map_insertNth, FormalMultilinearSeries.derivSeries_coeff_one, Polynomial.isCoveringMapOn_eval, Submodule.starProjection_add_starProjection_orthogonal, Matrix.spectrum_toLpLin, HasDerivAt.comp_ofReal, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, instIsZLatticeComap, mdifferentiableOn_symm_coordChangeL, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, Continuous.integral_hasStrictDerivAt, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, mdifferentiableWithinAt_smul_const_section, InnerProductSpace.Core.inner_smul_left, SchwartzMap.bilinLeftCLM_apply, ContinuousMap.setOfIdeal_ofSet_eq_interior, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, IsConformalMap.is_complex_or_conj_linear, MeasureTheory.integral_fintype_prod_eq_prod, ContinuousLinearMap.nhds_zero_eq_of_basis, HasGradientAt.hasDerivAt', IsHilbertSum.linearIsometryEquiv_symm_apply, SmoothBumpCovering.exists_immersion_euclidean, OrderedFinpartition.norm_applyOrderedFinpartition_le, iteratedDeriv_pow, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, AffineMap.hasDerivWithinAt, Submodule.starProjection_singleton, RCLike.conj_nat_cast, HasFPowerSeriesAt.eventually_hasSum, LeftInvariantDerivation.left_invariant, mfderiv_comp_apply_of_eq, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, hasStrictFDerivAt_snd, NormedSpace.toIsBoundedSMul, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, ContinuousAlternatingMap.isClosed_range_toContinuousMultilinearMap, curveIntegralFun_smul, addInvariantVectorField_smul, Module.Basis.exists_opNorm_le, ClosedSubmodule.mem_orthogonal', RCLike.ofReal_re, egauge_ball_le_of_one_lt_norm, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, hasStrictFDerivAt_iff_isLittleOTVS, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, ContinuousLinearEquiv.toCompactConvergenceCLM_apply, OrthogonalFamily.orthonormal_sigma_orthonormal, RCLike.re_add_im_ax, ContinuousAlternatingMap.piLIE_apply_apply, PreInnerProductSpace.Core.smul_left, Matrix.PosSemidef.sqrt_eq_zero_iff, Differentiable.fderiv_norm_rpow, UniqueMDiffOn.uniqueDiffOn, FDerivMeasurableAux.le_of_mem_A, lintegral_fderiv_lineMap_eq_edist, RCLike.normSq_neg, ContinuousLinearMap.isBigOWith_id, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, curveIntegrable_fun_neg_iff, hasDerivWithinAt_zero, ContDiffAt.hasStrictDerivAt, ContinuousLinearEquiv.coe_toDiffeomorph_symm, Submodule.reflection_symm, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, TensorProduct.ext_iff_inner_right_threefold', CurveIntegrable.zero, fderiv_comp_deriv, ContinuousMultilinearMap.contDiffAt, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, hasDerivAtFilter_ofNat, iteratedDeriv_comp_const_mul, RCLike.is_real_TFAE, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', HasFPowerSeriesOnBall.restrictScalars, ContinuousLinearMap.opNNNorm_le_iff, ContinuousLinearMap.isometry_mul_flip, OrthonormalBasis.toBasis_singleton, ZSpan.smul, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, Module.Basis.ofZLatticeComap_apply, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, InnerProductSpace.smul_left, ClosedSubmodule.inf_orthogonal, HasFDerivAtFilter.const_sub, LinearMap.coe_toContinuousLinearMap', balanced_ball_zero, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, ContinuousLinearMap.isPositive_natCast, tendsto_birkhoffAverage_apply_sub_birkhoffAverage, DiffContOnCl.inv, ContinuousMultilinearMap.opNorm_zero_iff, RCLike.abs_im_div_norm_le_one, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, norm_sub_mul_self, hasFDerivWithinAt_comp_smul_iff_smul, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Submodule.starProjection_comp_starProjection_eq_zero_iff, FDerivMeasurableAux.differentiable_set_subset_D, SchwartzMap.laplacianCLM_eq, fderiv_fun_smul, MeromorphicOn.fun_smul, monomial_has_deriv_aux, continuous_equivFun_basis, exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensional, LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm, LinearIsometryEquiv.conjStarAlgEquiv_apply, MeasureTheory.smul_convolution, VectorField.mlieBracketWithin_const_smul_right, HasFDerivAt.le_of_lipschitzOn, LinearMap.toMatrixOrthonormal_reindex, contDiff_one_iff_fderiv, MeasureTheory.ConvolutionExistsAt.integrable, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, Real.hasDerivAt_mul_log, Asymptotics.isLittleOTVS_prodMk_left, inner_smul_left_eq_star_smul, fderivWithin_sinh, RCLike.mul_conj, iter_deriv_zpow', RCLike.norm_conj, ValueDistribution.logCounting_pow_top, WithSeminorms.continuousSMul, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, HasFDerivWithinAt.comp_of_tendsto, smul_unitClosedBall, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, Real.hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, HasStrictFDerivAt.const_mul, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, LinearMap.IsSymmetricProjection.ext_iff, ConvexOn.univ_sSup_of_countable_affine_eq, ContinuousLinearMap.ebound, InnerProductSpace.inner_left_rankOne_apply, TestFunction.toBoundedContinuousFunctionCLM_apply, RCLike.continuous_normSq, IsLocalFrameOn.coeff_apply_of_mem, ClosedSubmodule.orthogonal_injective, ContinuousAlternatingMap.norm_def, HasFDerivAt.finset_prod, SchwartzMap.fderivCLM_apply, hasStrictDerivAt_abs_pos, ContinuousLinearMap.smul_compLp, hasDerivWithinAt_abs_pos, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, ContinuousLinearMap.contMDiff, ContinuousLinearMap.mdifferentiable, HasStrictFDerivAt.fun_sum, HasSum.hasSum_at_zero, Pretrivialization.continuousLinearMap_symm_apply', HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, VectorBundleCore.coordChange_self, lineDifferentiableAt_smul_iff, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, fderiv_const_smul_field, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, LinearIsometry.map_starProjection', RCLike.ofNat_re, ContinuousLinearMap.hasBasis_nhds_zero, polynomialFunctions.starClosure_topologicalClosure, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, DifferentiableAt.fderiv_prodMk, innerₛₗ_apply_apply, hasFDerivWithinAt_inv, eventually_nhds_norm_smul_sub_lt, LinearIsometryEquiv.coe_toAffineIsometryEquiv, DoubleCentralizer.pow_snd, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, OrthonormalBasis.repr_self, RCLike.ofReal_balance, Submodule.symmetric_isOrtho, iteratedDeriv_scomp_three, ContDiffAt.continuousAt_fderiv, fderiv_fun_pow', hasDerivWithinAt_pi, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, NormedSpace.isVonNBounded_ball, OrthogonalFamily.norm_sq_diff_sum, MDifferentiable.smul, norm_smul_inv_norm, ContinuousLinearEquiv.comp_hasFDerivAt_iff, ContinuousLinearMap.eq_adjoint_iff, hasMFDerivAt_sumSwap, ContinuousLinearMap.hasFDerivAt, fderivWithin_intCast, ContDiffAt.fderiv_succ, ContMDiffVectorBundle.pullback, ContinuousLinearMap.topologicalAddGroup, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, RCLike.nonpos_iff, RCLike.smul_re, SchwartzMap.toLpCLM_apply, Polynomial.div_tendsto_zero_iff_degree_lt, LinearMap.IsSymmetric.directSum_decompose_apply, derivWithin.scomp, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, ContinuousLinearMap.IsPositive.smul_of_nonneg, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, Unitary.coe_linearIsometryEquiv_apply, MeromorphicOn.divisor_pow, ModularForm.prod_slash_sum_weights, MeasureTheory.convolution_tendsto_right, Matrix.IsHermitian.rank_eq_rank_diagonal, ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero, gelfandStarTransform_apply_apply, Submodule.reflection_singleton_apply, RCLike.nonUnitalContinuousFunctionalCalculus, HasFDerivAt.of_notMem_tsupport, HasFTaylorSeriesUpToOn.zero_eq', fderiv_sum, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, NormedSpace.Dual.toWeakDual_continuous, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, WithSeminorms.withSeminorms_eq, HasFiniteFPowerSeriesAt.finite, HasFDerivWithinAt.const_mul, isClosed_setOf_tendsto_birkhoffAverage, deriv_fun_inv'', fderiv_ofNat, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, FormalMultilinearSeries.id_apply_one', ContinuousMultilinearMap.norm_smulRightL_le, tensorIteratedFDerivTwo_eq_iteratedFDeriv, AnalyticOnNhd.iteratedFDeriv, ContinuousLinearEquiv.contDiffAt_comp_iff, Asymptotics.isTheta_inv, ContinuousLinearMap.precompL_apply, DoubleCentralizer.nnnorm_snd, ContinuousLinearEquiv.isBigO_comp, HasStrictFDerivAt.star, OrthonormalBasis.measurePreserving_repr, Submodule.reflection_apply, RCLike.ofReal_comp_balance, RCLike.abs_re_le_norm, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegralFun_segment, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.hasDerivAt, fderivWithin_zero, RCLike.geometric_hahn_banach_closed_point, differentiable_finCons', Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, IsUltrametricDist.invariantExtension_apply, Real.hasDerivAt_arcosh, curveIntegral_neg, AEMeasurable.im, HasFDerivAt.sub, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, LinearIsometryEquiv.lTensor_apply, mfderiv_comp_of_eq, InnerProductSpace.gramSchmidt_def, HasFDerivAt.star, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, iteratedFDerivWithin_succ_const, enorm_fderiv_norm_rpow_le, ContinuousLinearMap.isPositive_self_comp_adjoint, dslope_eventuallyEq_slope_nhdsNE, iteratedDeriv_scomp_eq_sum_orderedFinpartition, trivialization_linear, formalMultilinearSeries_geometric_apply_norm_le, norm_mul, ContinuousLinearMap.hasFPowerSeriesAt, Bundle.Trivial.continuousLinearMapAt_trivialization, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, LinearMap.adjoint_toContinuousLinearMap, hasDerivAt_iff_isLittleO, spectrum.isOpen_resolventSet, HasDerivWithinAt.hasFDerivWithinAt, Unitary.linearIsometryEquiv_coe_apply, Matrix.IsHermitian.eigenvectorUnitary_col_eq, NormedSpace.isBounded_iff_subset_smul_closedBall, LDL.lowerInv_eq_gramSchmidtBasis, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, hasStrictFDerivAt_pi', HasFDerivAtFilter.neg, fderiv_eq_deriv_mul, RCLike.norm_sq_eq_def_ax, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, HasFPowerSeriesOnBall.const_smul, 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, hasStrictFDerivAt_natCast, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, hasFDerivAtFilter_ofNat, hasFDerivAtFilter_zero, HasFDerivAt.multilinear_comp, Polynomial.differentiableOn_aeval, Real.fourierIntegral_continuousMultilinearMap_apply, LinearIsometryEquiv.adjoint_eq_symm, extDeriv_fun_smul, fderivWithin_ccosh, TensorProduct.mapIsometry_id_id, ContinuousAlternatingMap.toAlternatingMap_curryLeft, ordinaryHypergeometricSeries_radius_eq_one, MeromorphicAt.inv_iff, Matrix.toEuclideanLin_apply, inner_self_eq_norm_sq_to_K, IsContDiffImplicitAt.hasFDerivAt, iteratedDerivWithin_eq_iteratedFDerivWithin, ContinuousLinearMap.toLinearMap₁₂_apply, 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, RCLike.intCast_re, ContinuousAlternatingMap.le_opNNNorm, LinearIsometryEquiv.trans_smul, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, hasFDerivWithinAt_pi', RCLike.im_eq_zero_iff_isSelfAdjoint, HasFDerivWithinAt.multiset_prod, IsHilbertSum.hasSum_linearIsometryEquiv_symm, ContinuousLinearMap.opNorm_mul, Submodule.IsOrtho.map_iff, MeasureTheory.integral_fintype_prod_eq_pow, DoubleCentralizer.smul_toProd, mfderivWithin_projIcc_one, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, ContinuousLinearMapWOT.le_nhds_iff_forall_dual_apply_le_nhds, inner_mul_inner_self_le, InnerProductSpace.Core.inner_smul_ofReal_right, HasFDerivAt.arctan, PiTensorProduct.mapL_one, Matrix.IsHermitian.eigenvalues_eq_eigenvalues_iff, Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg, Real.hasStrictDerivAt_arccos, DoubleCentralizer.toProdMulOpposite_injective, RCLike.conjCLE_apply, ContinuousLinearMap.norm_fst_le, PointwiseConvergenceCLM.postcomp_apply, ContMDiffAt.mfderiv_apply, hasFDerivAt_snd, DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, UpperHalfPlane.coe_pos_real_smul, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, ContinuousLinearMap.le_opNorm, IsUltrametricDist.invariantExtension_extends, RCLike.mul_im_ax, ImplicitFunctionData.range_leftDeriv, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, Orthonormal.inner_left_fintype, InnerProductSpace.Core.norm_eq_sqrt_re_inner, HasLineDerivAt.tendsto_slope_zero_right, ZLattice.comap_toAddSubgroup, Complex.hasDerivAt_GammaIntegral, NormedSpace.expSeries_summable, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, compactOperator_topologicalClosure, RCLike.wInner_cWeight_eq_expect, Submodule.coe_orthogonalDecomposition_symm, Complex.starConvex_ofReal_slitPlane, PiTensorProduct.mapL_smul, BoundedContinuousFunction.coe_toContinuousMapStarₐ, MeasureTheory.aestronglyMeasurable_condExpL2, Submodule.orthogonalProjection_bot, Real.fderiv_fourier, DoubleCentralizer.norm_def', ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, differentiable_apply, RCLike.abs_re_div_norm_le_one, Submodule.range_starProjection, ContinuousLinearMap.fderiv, fderiv_neg, norm_sub_sq, RCLike.toIsStrictOrderedRing, LinearIsometryEquiv.inner_map_eq_flip, MeasureTheory.convolution_smul, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, Matrix.PosSemidef.sq_eq_sq_iff, Polynomial.isEquivalent_atTop_lead, binomialSeries_radius_eq_one, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, ContDiffAt.inv, Pi.counit_eq_adjoint, WithLp.unitization_algebraMap, ContinuousAlternatingMap.instContinuousSMul, LinearMap.toMatrixOrthonormal_apply_apply, RCLike.I_re_ax, HasFDerivAt.restrictScalars, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, ContinuousLinearMap.fpowerSeries_apply_zero, VectorPrebundle.mk_contMDiffCoordChange, Submodule.exists_add_mem_mem_orthogonal, PiTensorProduct.projectiveSeminorm_apply, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, ContinuousLinearEquiv.conjContinuousAlgEquiv_apply, AffineSubspace.coe_subtypeₐᵢ, RCLike.re_nonneg_of_nonneg, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, LinearMap.IsSymmetric.coe_re_inner_self_apply, ContinuousLinearMap.comp_memLp', HasStrictFDerivAt.list_prod', Meromorphic.prod, SchwartzMap.fourier_lineDerivOp_eq, Manifold.IsImmersionAtOfComplement.map_target_subset_target, Complex.starConvex_one_slitPlane, AddChar.wInner_cWeight_eq_zero_iff_ne, ContinuousLinearMapWOT.inducingFn_apply, TemperedDistribution.instLineDerivLeftSMulReal, DirichletCharacter.norm_le_one, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, hasStrictDerivAt_exp_smul_const, ContinuousMap.setOfIdeal_ofSet_of_isOpen, isBoundedBilinearMap_comp, fderivWithin_sin, set_smul_sphere_zero, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, Module.Basis.mulOpposite_is_orthonormal_iff, ContMDiff.smul, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, FormalMultilinearSeries.nnnorm_changeOrigin_le, hasStrictDerivAt_add_const_iff, Trivialization.continuousLinearEquivAt_apply, hasLineDerivWithinAt_smul_iff, Asymptotics.IsTheta.smul, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, MDifferentiable.const_smul, hasMFDerivAt_fst, MeasureTheory.condExpL2_indicator_ae_eq_smul, fderiv_fun_sub, mfderivWithin_comp_projIcc_one, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, FormalMultilinearSeries.rightInv_removeZero, MeromorphicOn.prod, isCompactOperator_iff_isCompact_closure_image_ball, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', hasStrictDerivAt_exp_smul_const', HasCompactSupport.fderiv, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, LinearIsometry.toAffineIsometry_toAffineMap, MeromorphicAt.fun_smul, re_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two, LinearIsometryEquiv.adjoint_toLinearMap_eq_symm, SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, Submodule.le_orthogonal_orthogonal, hasFDerivWithinAt_intCast, LinearMap.eq_adjoint_iff_basis_left, contDiff_succ_iff_fderiv, ContinuousLinearMap.opNNNorm_prod, ContinuousLinearEquiv.comp_differentiableOn_iff, MDifferentiableOn.smul, ZLattice.rank, hasDerivAtFilter_zero, HasMFDerivAt.neg, smul_closedBall', spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, ZSpan.quotientEquiv_apply_mk, LinearMap.IsSymmetricProjection.isIdempotentElem, HasFDerivAt.fun_const_smul, Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Matrix.PosSemidef.posDef_iff_isUnit, Manifold.pathELength_def, WeakDual.toStrongDual_inj, EuclideanSpace.volume_closedBall_fin_three, ContinuousLinearMap.uniformContinuous_restrictScalars, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, isModuleTopologyOfFiniteDimensional, LinearMap.extendTo𝕜'_apply, LinearIsometryEquiv.fderiv, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, ContinuousLinearMap.holderₗ_apply_apply, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, dslope_sub_smul, hasDerivAt_id', rescale_to_shell_semi_normed_zpow, ContinuousMultilinearMap.unit_le_opNorm, ContinuousMultilinearMap.curryRight_norm, hasDerivWithinAt_Iic_of_tendsto_deriv, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, Matrix.IsHermitian.eigenvectorUnitary_mulVec, Submodule.instHasOrthogonalProjectionOfCompleteSpace, fderiv.log, FDerivMeasurableAux.norm_sub_le_of_mem_A, HasFDerivAt.add, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, MeasureTheory.convolution_lsmul, ContinuousAlternatingMap.instContinuousConstSMul, curveIntegral_fun_zero, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, ModelWithCorners.uniqueDiffOn_preimage, LinearMap.nonneg_iff_isPositive, Bornology.isVonNBounded_covers, hasDerivAt_abs_neg, coe_innerSL_apply, HasFDerivWithinAt.const_sub, LinearMap.IsSymmetric.inner_map_self_eq_zero, ContinuousLinearMap.isCompact_image_coe_closedBall, Real.deriv_sqrt_aux, OrthonormalBasis.prod_apply, iteratedFDeriv_add_apply, deriv_fderiv, RegularNormedAlgebra.isometry_mul', ContDiffWithinAt.hasFDerivWithinAt_nhds, FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq, HasFDerivAt.sum, inner_re_zero_right, HasStrictDerivAt.real_of_complex, ContinuousLinearMap.isClosed_image_coe_closedBall, DoubleCentralizer.central, ModelWithCorners.hasMFDerivAt, Matrix.PosSemidef.det_sqrt, MeasureTheory.integral_condExpL2_eq, HasFPowerSeriesOnBall.coeff_zero, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, hasFDerivAtFilter_const, VectorBundleCore.localTriv_symm_fst, range_cfcₙHom, HasMFDerivWithinAt.prodMap, hasDerivWithinAt_abs, hasFPowerSeriesOnBall_const, hasFDerivAtFilter_iff_isLittleO, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, TensorProduct.lidIsometry_apply, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, Trivialization.comp_continuousLinearEquivAt_eq_coord_change, UniqueMDiffOn.uniqueDiffOn_target_inter, convex_halfSpace_re_le, VectorFourier.hasFDerivAt_fourierIntegral, Seminorm.ball_norm_mul_subset, DirichletCharacter.unit_norm_eq_one, Valued.integer.exists_norm_lt_one, iteratedFDeriv_sum, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, hasFDerivAt_ringInverse, LinearMap.IsPositive.inner_nonneg_left, norm_cfcₙ_lt, ContinuousMultilinearMap.opNorm_smul_le, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, Filter.HasBasis.isLittleOTVS_iff, HasFDerivWithinAt.of_notMem_tsupport, ContinuousLinearMap.instCStarRingId, WeakDual.coe_toStrongDual, NormedSpace.eq_zero_iff_forall_dual_eq_zero, hasFDerivAt_finCons, Matrix.linfty_opNNNorm_eq_opNNNorm, HasMFDerivWithinAt.neg, AffineIsometryEquiv.map_vsub, hasFDerivWithinAt_finCons, InformationTheory.hasDerivAt_klFun, MeasureTheory.setIntegral_condExpL2_indicator, InnerProductSpace.nnnorm_rankOne, ContinuousMultilinearMap.norm_restr, ContinuousMultilinearMap.norm_image_sub_le, PreInnerProductSpace.Core.conj_inner_symm, ProbabilityTheory.isPosSemidef_covarianceBilin, fderiv_smul, stereographic_apply_neg, LinearIsometry.norm_toContinuousLinearMap, OrthonormalBasis.orthogonalProjection_apply_eq_sum, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, hasMFDerivAt_inr, ContinuousLinearEquiv.arrowCongr_apply, differentiable_snd, HasFDerivWithinAt.star, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, fderivWithin_eventually_congr_set', intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, ContinuousLinearMap.toUniformConvergenceCLM_apply, ContinuousAlternatingMap.curryLeft_apply_apply, NormedSpace.isVonNBounded_closedBall, ContinuousLinearMap.flip_smul, logDeriv_fun_pow, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, mfderivWithin_sumInr, MeromorphicOn.divisor_inv, Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos, ContinuousMap.spectrum_eq_preimage_range, ContinuousLinearEquiv.isBigO_sub, HasFDerivAt.isBigOTVS_sub, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, Module.Basis.constrL_apply, MeromorphicOn.divisor_fun_pow, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, HasFDerivWithinAt.const_smul, Matrix.IsHermitian.charpoly_cfc_eq, NormedSpace.norm_expSeries_summable, ContinuousLinearEquiv.hasMFDerivAt, MeasureTheory.ConvolutionExistsAt.integrable_swap, Polynomial.deriv_aeval, VectorBundleCore.trivializationAt_coordChange_eq, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, norm_inner_eq_norm_iff, spectrum.isCompact, RCLike.re_monotone, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, ContinuousLinearMap.measurable_apply₂, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, continuousOn_tangentCoordChange, ContinuousAlternatingMap.isEmbedding_toContinuousMultilinearMap, RCLike.im_ofReal_pow, LinearIsometryEquiv.smul_apply, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, LinearIsometryEquiv.contDiff, HasFDerivAt.comp_hasFDerivWithinAt, ContDiff.continuous_fderiv_apply, FiniteDimensional.RCLike.properSpace_submodule, AffineMap.hasDerivAt_lineMap, Function.hasTemperateGrowth_iff_isBigO, range_stereographic_symm, Seminorm.convexOn, Asymptotics.IsTheta.finsetProd, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, DifferentiableWithinAt.prodMk, PiLp.volume_preserving_toLp, LowerSemicontinuousOn.isClosed_re_epigraph, IsLocalExtr.fderiv_eq_zero, EuclideanGeometry.orthogonalProjection_apply', ContMDiffAt.smul, isOpenEmbedding_stereographic_symm, intervalIntegral.integral_hasDerivWithinAt_left, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, Polynomial.ofReal_eval, HasFPowerSeriesOnBall.fderiv_eq, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, strictConvex_closedBall, NormedSpace.toNormSMulClass, mfderivWithin_comp_of_preimage_mem_nhdsWithin_of_eq, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, ContinuousLinearMapWOT.instLocallyConvexSpace, inner_self_im, ContinuousLinearMap.instLocallyConvexSpace, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, PiTensorProduct.projectiveSeminorm_tprod_le, ContinuousLinearEquiv.conjContinuousAlgEquiv_trans, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', AffineMap.hasDerivWithinAt_lineMap, mfderiv_prod_eq_add_comp, ContinuousLinearMap.fderiv_of_bilinear, logDeriv_eqOn_iff, Matrix.PosSemidef.posSemidef_sqrt, hasFDerivAt_of_subsingleton, Real.hasDerivWithinAt_arccos_Ici, unitary.linearIsometryEquiv_coe_symm_apply, PiTensorProduct.tprodL_toFun, ContinuousLinearMap.isPositive_def, Seminorm.gaugeSeminorm_ball, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, Polynomial.abs_tendsto_atTop_iff, ContinuousLinearEquiv.hasMFDerivWithinAt, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, fderiv_mul_const', LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, SchwartzMap.toBoundedContinuousFunctionCLM_apply, RCLike.conj_ofReal, curveIntegral_segment, Asymptotics.isLittleOTVS_fun_neg_left, TestFunction.postcompCLM_apply, hasDerivAt_iff_tendsto_slope_left_right, BoundedContinuousFunction.instStarModule, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, Asymptotics.isBigOTVS_iff_smallSets, ContinuousAlternatingMap.norm_restrictScalars, Real.fourierIntegral_continuousLinearMap_apply, OrthonormalBasis.coe_ofRepr, Submodule.starProjection_top', ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, OrthonormalBasis.toBasis_mulOpposite, Submodule.adjoint_subtypeL, MeasureTheory.convolutionExistsAt_flip, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, hasStrictFDerivAt_exp, inner_re_zero_left, IsCoercive.range_eq_top, LinearMap.isSymmetric_adjoint_mul_self, InnerProductSpace.Core.cauchy_schwarz_aux, ContinuousLinearMap.opNorm_mul_apply, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, inner_self_ofReal_re, mfderiv_comp_mfderivWithin, RCLike.conjLIE_apply, Submodule.reflection_orthogonalComplement_singleton_eq_neg, deriv_fun_div, ContinuousLinearEquiv.comp_fderiv, HasFDerivWithinAt.fun_smul, Complex.orthonormalBasisOneI_repr_apply, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, ContinuousLinearMap.isBigO_id, RCLike.conj_mul, ContDiffAt.fderiv_right, AnalyticOn.compContinuousLinearMap, hasStrictFDerivAt_iff_isLittleO, MeasureTheory.convolution_def, Affine.Triangle.dist_circumcenter_reflection_orthocenter, HasStrictFDerivAt.prodMk, MeasureTheory.norm_condExpL2_coe_le, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, HasStrictFDerivAt.of_notMem_tsupport, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, HasDerivAt.hasFDerivAt, NormedAlgebra.exists_isMinOn_norm_sub_smul, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, RCLike.imLm_coe, ContinuousMultilinearMap.uncurry0_norm, hasMFDerivWithinAt_inr, HasFPowerSeriesWithinOnBall.prod, NormedSpace.eq_iff_forall_dual_eq, ContinuousLinearEquiv.integral_comp_comm, ContinuousMultilinearMap.le_opNorm, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Bundle.Trivial.linearMapAt_trivialization, continuousOn_cfcₙ, ContinuousLinearMap.continuous_restrictScalars, HasFDerivWithinAt.neg, hasStrictDerivAt_const_add_iff, iteratedFDeriv_const_smul_apply, isBoundedBilinearMap_compMultilinear, ContinuousLinearEquiv.comp_right_fderiv, hasLineDerivAt_smul_iff, Submodule.isIdempotentElem_starProjection, differentiableOn_finCons', VectorField.lieBracket_const_smul_left, RCLike.div_im, hasFDerivAt_norm_rpow, dist_birkhoffAverage_apply_birkhoffAverage, Function.FactorizedRational.meromorphicOrderAt_eq, IsSelfAdjoint.isClosed, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, ZSpan.repr_ceil_apply, Asymptotics.isEquivalent_nat_ceil, HasFPowerSeriesOnBall.uniform_geometric_approx, LinearIsometry.inner_map_map, DoubleCentralizer.neg_snd, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ZLattice.comap_equiv_apply, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, ContinuousAlternatingMap.instIsTopologicalAddGroup, ContinuousLinearMap.analyticAt, iteratedFDeriv_succ_const, Asymptotics.isBigOTVS_fun_neg_left, ContDiffAt.iteratedFDeriv_right, ContDiffBump.convolution_tendsto_right, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, HasFTaylorSeriesUpToOn.cont, Asymptotics.isBigOTVS_fun_neg_right, Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm, RCLike.im_to_real, RCLike.instContinuousMapUniqueHom, AnalyticOnNhd.fderiv_of_isOpen, Module.Basis.coe_constrL, ContinuousAlternatingMap.le_opNorm, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, Seminorm.rescale_to_shell_zpow, Asymptotics.IsEquivalent.smul, differentiableAt_apply, NormedSpace.expSeries_hasSum_exp, ContinuousMultilinearMap.range_toUniformOnFun, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, derivWithin_fun_div, tangentMapWithin_snd, Matrix.toEuclideanCLM_toLp, Seminorm.smul_closedBall_zero, WeakDual.CharacterSpace.homeoEval_naturality, DifferentiableWithinAt.hasDerivWithinAt, CPolynomialOn.iteratedFDeriv, ContinuousLinearMap.isPositive_id, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, differentiableAt_pi'', RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, contDiffOn_stereoToFun, Real.hasFDerivAt_fourier, ContinuousLinearMap.isUniformAddGroup, RCLike.ext_iff, LeftInvariantDerivation.evalAt_coe, Unitary.coe_symm_linearIsometryEquiv_apply, mfderivWithin_sumInl, fderiv_inverse, smul_sphere', hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, HasFPowerSeriesOnBall.fderiv, range_cfcₙ, LinearMap.adjoint_rTensor, convex_halfSpace_im_gt, RCLike.normSq_inv, Matrix.PosSemidef.sqrt_eq_one_iff, LinearMap.IsPositive.add, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, HilbertBasis.hasSum_orthogonalProjection, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, LinearMap.adjoint_inner_right, MeasureTheory.mem_lpMeas_indicatorConstLp, iteratedFDeriv_const_smul_apply', InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, PiLp.hasFDerivAt_toLp, stereoInvFun_apply, PiTensorProduct.mapL_coe, Filter.EventuallyEq.hasDerivAt_iff, Manifold.IsImmersionAt.writtenInCharts, fderiv_pow, InnerProductSpace.rankOne_eq_zero, ContinuousLinearMap.lipschitz, Polynomial.differentiable_aeval, DoubleCentralizer.range_toProd, fderiv_one, Matrix.PosSemidef.sqrt_sq, hasDerivAt_deriv_iff, RCLike.mul_wInner_left, TensorProduct.ext_iff_inner_left_threefold', Convex.toWeakSpace_closure, Submodule.isOrtho_sSup_right, LinearIsometry.lTensor_apply, ClosedSubmodule.bot_orthogonal_eq_top, LinearIsometry.norm_compContinuousMultilinearMap, Function.FactorizedRational.finprod_eq_fun, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, Asymptotics.IsEquivalent.finsetProd, tsum_pow_div_one_sub_eq_tsum_sigma, Real.hasDerivAt_binEntropy, Submodule.norm_sq_eq_add_norm_sq_starProjection, hasDerivAt_gronwallBound_shift, AffineIsometry.linear_eq_linearIsometry, RCLike.re_eq_norm_of_mul_conj, UniqueDiffOn.of_real, ContMDiffOn.coordChangeL, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, HasFDerivAt.pow, ContinuousLinearMapWOT.smul_apply, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, Asymptotics.isBigOTVS_iff_isBigO, ContinuousMultilinearMap.isLeast_opNorm, fderivWithin_comp_derivWithin, ContDiff.continuous_fderiv, ContinuousAlternatingMap.apply_apply, hasFDerivAt_id, Bornology.isVonNBounded_sub_of_nonempty, Real.hasDerivAt_qaryEntropy, innerSL_inj, AffineIsometryEquiv.coe_ofEq_apply, WithSeminorms.isVonNBounded_iff_seminorm_bddAbove, MeasureTheory.condExpIndSMul_smul, hasDerivAt_add_const_iff, hasDerivWithinAt_pow, Submodule.closed_of_finiteDimensional, hasDerivWithinAt_iff_hasFDerivWithinAt, MeasureTheory.ae_ae_add_linearMap_mem_iff, TensorProduct.ext_iff_inner_left_threefold, MeasureTheory.lintegral_nnnorm_condExpL2_le, RCLike.conj_eq_iff_re, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, AffineSubspace.isometryEquivMap.toAffineMap_eq, DoubleCentralizer.add_fst, deriv_pi, LinearMap.IsSymmetric.coe_toSelfAdjoint, quasispectrum.isCompact, HasFPowerSeriesWithinAt.coeff_zero, TensorProduct.inner_lid_lid, EuclideanSpace.volume_closedBall_fin_two, OrthonormalBasis.toBasis_map, ContDiffMapSupportedIn.uniformSpace_eq_iInf, hasFDerivAt_apply, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbedding, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, LinearMap.IsSymmetric.diagonalization_symm_apply, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, maximal_orthonormal_iff_basis_of_finiteDimensional, VectorField.mpullback_smul_apply, TensorProduct.norm_comm, contDiffWithinAt_iff_of_ne_infty, NormedSpace.inclusionInDoubleDual_norm_le, mfderiv_sumInl, AnalyticOnNhd.eval_linearMap, LinearEquiv.coe_toContinuousLinearEquiv_symm, hasFTaylorSeriesUpToOn_pi', curveIntegral_segment_const, hasDerivWithinAt_one, mfderiv_sub, VectorBundleCore.localTriv_symm_apply, WeakDual.isCompact_closedBall, ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, ContinuousLinearMap.isPositive_toLinearMap_iff, instPolynormableSpaceProd, TangentBundle.trivializationAt_apply, PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, TestFunction.coe_ofSupportedInCLM, Real.differentiableAt_rpow_of_ne, PointedContMDiffMap.smul_def, ContDiffBump.normed_convolution_eq_right, PiTensorProduct.bddBelow_projectiveSemiNormAux, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, RCLike.ofNat_mul_re, ContinuousLinearMap.uniformContinuousConstSMul, OrthonormalBasis.tensorProduct_repr_tmul_apply', ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, ContinuousAlternatingMap.instUniformContinuousConstSMul, ContinuousLinearMap.holder_smul_left, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, HarmonicAt.differentiableAt_complex_partial, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, isSymmSndFDerivAt_iff_iteratedFDeriv, HasFDerivWithinAt.mul_const, absorbent_nhds_zero, ContMDiffAt.const_smul_section, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, MeasureTheory.hasFDerivAt_convolution_right_with_param, ContinuousLinearEquiv.differentiableAt, fderiv_pow', ContMDiffAt.mfderiv_const, AnalyticOn.domDomCongr_iteratedFDeriv, smoothSheafCommRing.isUnit_stalk_iff, Matrix.PosSemidef.eq_sqrt_iff_sq_eq, ContMDiffSection.coe_smul, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, InnerProductSpace.Core.inner_im_symm, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, LinearIsometry.isConformalMap, LinearIsometryEquiv.reflections_generate, ContinuousLinearMap.ratio_le_opNorm, Submodule.map_orthogonal_equiv, mfderiv_prodMap, iteratedFDerivWithin_eq_equiv_comp, dist_center_homothety, DifferentiableAt.isBigOTVS_sub, Matrix.l2_opNNNorm_mulVec, hasFDerivAt_prodMk_left, Orthonormal.inner_left_right_finset, HasStrictFDerivAt.isLittleO, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, ClosedSubmodule.top_orthogonal_eq_bot, FormalMultilinearSeries.mkPiRing_coeff_eq, differentiableAt_inv_iff, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, SchwartzMap.norm_iteratedFDeriv_le_seminorm, Submodule.norm_orthogonalProjection_apply_le, instPolynormableSpaceSubtypeMemSubmodule, LinearMap.deriv, VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas, RCLike.conj_I_ax, uniqueDiffWithinAt_convex_of_isRCLikeNormedField, Continuous.fderiv, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, TensorProduct.norm_assoc, TensorProduct.nnnorm_tmul, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, DoubleCentralizer.smul_fst, RCLike.I_eq_zero_or_im_I_eq_one, norm_fderiv_le_of_lipschitz, InnerProductSpace.toDualMap_apply, TotallyBounded.isVonNBounded, RCLike.normSq_nonneg, NumberField.mixedEmbedding.convexBodySumFun_smul, hasFDerivWithinAt_finCons', DifferentiableAt.conj_conj, AffineIsometryEquiv.ofTop_symm_apply_coe, TangentBundle.coordChange_model_space, NumberField.mixedEmbedding.logMap_real_smul, ContinuousLinearMap.adjoint_inner_left, fderivWithin_cos, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, ContinuousLinearEquiv.arrowCongr_symm, ContinuousLinearMap.isBoundedBilinearMap, nnnorm_algebraMap, fdifferential_apply, ContinuousMultilinearMap.opNorm_nonneg, ContinuousMultilinearMap.hasBasis_nhds_zero, ContinuousMultilinearMap.instIsUniformAddGroup, RCLike.le_iff_re_im, ball_normSeminorm, HasFPowerSeriesWithinOnBall.sum, InnerProductSpace.AlgebraOfCoalgebra.mul_def, Real.hasStrictDerivAt_arcosh, LinearMap.extendTo𝕜_apply, Filter.EventuallyEq.iteratedFDerivWithin, MeromorphicAt.fun_pow, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, HasLineDerivWithinAt.smul, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, mdifferentiable_smul_const_section, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, FormalMultilinearSeries.le_radius_compContinuousLinearMap, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, ContinuousLinearEquiv.integrable_comp_iff, Asymptotics.isBigOTVS_congr, ContinuousLinearMap.instContinuousEvalConst, NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsReal_coe, Affine.Simplex.mongePlane_def, fderivWithin_ccos, Asymptotics.isBigOTVS_neg_right, MDifferentiableOn.coordChangeL, hasDerivAt_update, VectorField.mlieBracketWithin_const_smul_left, ContinuousLinearMap.IsPositive.isSymmetric, ContinuousAlternatingMap.ofSubsingletonLIE_apply, Asymptotics.IsLittleO.multisetProd, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, fderiv_fun_add, MeromorphicOn.fun_pow, FormalMultilinearSeries.compAlongComposition_bound, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, ContinuousLinearMap.lipschitz_apply, Trivialization.prod.isLinear, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, DifferentiableAt.fderiv_restrictScalars, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, inTangentCoordinates_eq, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, selfAdjoint.unitarySelfAddISMul_coe, AffineIsometryEquiv.ofEq_symm, HasDerivWithinAt.complexToReal_fderiv, Polynomial.abs_tendsto_atBot_iff, ContinuousLinearMap.bilinearComp_zero_right, LinearMap.IsSymmetric.continuous, IsContMDiffRiemannianBundle.exists_contMDiff, ContinuousMap.ideal_isMaximal_iff, BaireSpace.instBarrelledSpace, integral_conj, hasDerivAtFilter_add_const_iff, LinearIsometry.extend_apply, hasDerivAt_jacobiTheta₂_fst, InnerProductSpace.rank_rankOne, LinearMap.isSymmetric_sum, MDifferentiableAt.const_smul, LinearMap.toSeminorm_comp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, Submodule.isOrtho_top_left, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, IsometricContinuousFunctionalCalculus.toNonUnital, contMDiffAt_coordChangeL, meromorphicNFAt_inv, NumberField.InfinitePlace.Completion.bijective_extensionEmbedding_of_isReal, HasFDerivWithinAt.fun_sub, InnerProductSpace.toDual_apply_apply, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, ContinuousLinearMap.nonneg_iff_isPositive, Real.hasDerivAt_arcsin, RCLike.real_smul_eq_coe_smul, coe_lpBCFₗᵢ, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, RCLike.measurable_re, Submodule.linearEquiv_det_reflection, LinearMap.isSymmetric_linearIsometryEquiv_conj_iff, Trivialization.symmL_continuousLinearMapAt, ProperCone.innerDual_singleton, algebraMap_isometry, real_inner_eq_re_inner, RCLike.add_conj, Submodule.IsOrtho.map, spectralNorm.spectralNorm_pow_natDegree_eq_prod_roots, RCLike.ofReal_re_ax, LinearIsometryEquiv.comp_differentiableOn_iff, LinearIsometryEquiv.comp_differentiableAt_iff, differentiable_inner, InnerProductSpace.Core.inner_self_eq_norm_mul_norm, HasFPowerSeriesWithinOnBall.sub, CFC.exp_eq_normedSpace_exp, HasLineDerivAt.tendsto_slope_zero_left, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, ContDiffWithinAt.continuousLinearMap_comp, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, HasFDerivWithinAt.prodMk, ContinuousAlternatingMap.norm_ofSubsingleton, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', Submodule.toLinearMap_starProjection_eq_isComplProjection, hasStrictFDerivAt_finCons, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, Diffeomorph.mfderivToContinuousLinearEquiv_coe, TensorProduct.nnnorm_map, Module.Basis.ofZLatticeBasis_span, RCLike.conj_im_ax, ContinuousLinearMap.coe_flipₗᵢ', HasMFDerivAt.prodMap, PiTensorProduct.norm_eval_le_injectiveSeminorm, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, deriv_inv, Submodule.sub_starProjection_mem_orthogonal, ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three, contDiffOn_succ_iff_fderiv_of_isOpen, PointwiseConvergenceCLM.equivWeakDual_apply, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, inner_self_conj, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, contDiff_iff_continuous_differentiable, dist_birkhoffAverage_birkhoffAverage, hasDerivAt_const, dslope_sub_smul_of_ne, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, fderiv_mul', LinearIsometryEquiv.conjStarAlgEquiv_ext_iff, OrthonormalBasis.repr_apply_apply, UniformSpace.Completion.norm_toComplL, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, Complex.hasDerivAt_Gammaℂ_one, VectorField.lieBracket_fmul_left, HasFDerivAtFilter.sum, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, ContinuousMultilinearMap.analyticAt, hasMFDerivAt_id, ClosedSubmodule.orthogonal_eq_inter, ContinuousMultilinearMap.prodL_apply, FormalMultilinearSeries.radius_inv_eq_limsup, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, hasFDerivWithinAt_iff_hasDerivWithinAt, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousLinearMap.coe_flipMultilinearEquiv, Seminorm.bddAbove_iff, NonUnitalAlgHom.coe_Lmul, ContinuousMultilinearMap.norm_map_init_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, hasMFDerivWithinAt_id, LeftInvariantDerivation.left_invariant'', SchwartzMap.compCLMOfAntilipschitz_apply, ContinuousAlternatingMap.hasStrictFDerivAt, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', LinearIsometryEquiv.conjStarAlgEquiv_refl, CurveIntegrable.fun_zero, InnerProductSpace.laplacian_smul, hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, eventually_singleton_add_smul_subset, VectorField.mpullback_apply, LinearMap.IsSymmetric.toSelfAdjoint_apply, RCLike.conj_div, Submodule.coe_continuous_linearProjOfClosedCompl, ContinuousLinearMapWOT.instIsTopologicalAddGroup, fderiv_mem_iff, iteratedFDeriv_neg_apply, RCLike.im_mul_ofReal, Submodule.coe_orthogonalDecomposition, VectorField.lieBracket_eq, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, hasMFDerivWithinAt_fst, ContinuousLinearMap.coe_restrict_scalarsL', HasDerivAt.complexToReal_fderiv, differentiableAt_fst, ContinuousLinearMapWOT.isInducing_inducingFn, fderivWithin_fderivWithin_eq_of_eventuallyEq, DoubleCentralizer.star_fst, differentiableOn_pi'', InnerProductSpace.laplacianWithin_smul, StrongDual.polarSubmodule_eq_polar, Submodule.finrank_orthogonal_span_singleton, summable_prod_mul_pow, PiTensorProduct.liftEquiv_symm_apply, RCLike.summable_conj, RCLike.geometric_hahn_banach_point_point, ContinuousLinearMap.fpowerSeries_apply_add_two, TestFunction.coe_ofSupportedInLM, mfderivWithin_eventually_congr_set', meromorphicOrderAt_inv, LinearMap.isPositive_natCast, inner_smul_real_right, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, TensorProduct.toLinearEquiv_congrIsometry, Asymptotics.isLittleOTVS_fun_neg_right, ContinuousMultilinearMap.opNorm_zero, hasFDerivAt_exp_smul_const', FormalMultilinearSeries.ofScalars_norm_le, Submodule.isOrtho_iSup_left, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, IsCoercive.bounded_below, IsLocalFrameOn.toBasisAt_coe, Commute.cfcₙHom, Submodule.norm_subtypeL, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, ContinuousLinearMapWOT.hasBasis_seminorms, Submodule.mem_orthogonal', ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, hasFDerivAt_finCons', LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, contDiffPointwiseHolderAt_iff, ContinuousLinearMap.IsStarNormal.orthogonal_range, WithSeminorms.topology_eq_withSeminorms, ContinuousLinearMap.aestronglyMeasurable_comp₂, Matrix.posDef_gram_iff_linearIndependent, instPolynormableSpaceForall, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, MDifferentiableAt.smul_section, LinearMap.toMatrix_innerₛₗ_apply, strictConvexSpace_iff, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, AffineSubspace.toContinuousAffineMap_subtypeₐᵢ, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, PointwiseConvergenceCLM.equivWeakDual_symm_apply, hasDerivAt_of_tendstoUniformlyOn, TensorProduct.toLinearEquiv_commIsometry, fderiv_fun_sum, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, Submodule.norm_sq_eq_add_norm_sq_projection, smul_sphere, LinearMap.extendTo𝕜'_apply_re, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, tangentCoordChange_comp, iteratedDerivWithin_zpow, HasFDerivWithinAt.fun_neg, LinearIsometry.norm_iteratedFDeriv_comp_left, RCLike.re_to_real, LinearMap.range_toContinuousLinearMap, Submodule.orthogonal_gc, fderiv_const_smul_of_invertible, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, hasFDerivWithinAt_pow', ContDiffMapSupportedIn.structureMapLM_apply_withOrder, HasFTaylorSeriesUpToOn.continuousLinearMap_comp, hasStrictDerivAt_finCons', RCLike.neg_iff, hasDerivWithinAt_taylorWithinEval_at_Icc, dist_iteratedFDerivWithin_zero, curveIntegral_restrictScalars, ContinuousLinearMap.hasFDerivAtFilter, HasFPowerSeriesOnBall.hasSum, ContinuousLinearMap.isBoundedLinearMap_comp_right, Matrix.PosSemidef.toLinearMap₂'_zero_iff, Submodule.starProjection_isSymmetric, convex_halfSpace_im_lt, RCLike.sqrt_eq_real_add_ite, HasFDerivAt.iterate, Submodule.starProjection_apply, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, NormedSpace.isVonNBounded_iff', Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', RCLike.inv_im, WeakDual.isSeqCompact_closedBall, hasStrictDerivAt_finCons, PiTensorProduct.liftEquiv_apply, HasFDerivAt.cexp, DoubleCentralizer.add_snd, has_antideriv_at_fourier_neg, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, fderivWithin_iteratedFDerivWithin, rescale_to_shell, ContinuousLinearMap.rayleighQuotient_add, ContinuousMultilinearMap.contDiff, WithSeminorms.uniformEquicontinuous_iff_bddAbove_and_continuous_iSup, LinearIsometry.toSpanSingleton_apply, hasFDerivAt_iff_tendsto, WeakDual.exists_countable_separating, PolynormableSpace.induced, LinearMap.isSelfAdjoint_iff', RCLike.ofReal_prod, FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm, ContinuousLinearMap.deriv_of_bilinear, ContDiffWithinAt.inv, Orientation.areaForm'_apply, VectorBundleCore.coe_coordChange, hasFDerivAtFilter_iff_hasDerivAtFilter, innerSLFlip_apply_apply, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, PadicAlgCl.spectralNorm_eq, Affine.Triangle.dist_orthocenter_reflection_circumcenter, OrthogonalFamily.hasSum_linearIsometry, Polynomial.hasFDerivAt, Asymptotics.isTheta_const_smul_left, Distribution.mapCLM_apply, finrank_euclideanSpace, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, LinearMap.IsPositive.isSelfAdjoint, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsContinuousRiemannianBundle.exists_continuous, Bornology.isVonNBounded_iff_smul_tendsto_zero, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, InnerProductSpaceable.inner_.norm_sq, DoubleCentralizer.norm_snd, Submodule.top_orthogonal_eq_bot, ConvexOn.sSup_of_nat_affine_eq, ContinuousLinearMap.postcomp_apply, Submodule.fst_orthogonalDecomposition_apply, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, LinearEquiv.coe_toContinuousLinearEquiv', hasFDerivWithinAt_one, Submodule.orthogonal_orthogonal_eq_closure, ContinuousLinearEquiv.nhds, ContinuousAlternatingMap.le_opNorm_mul_pow_of_le, Submodule.smul_starProjection_singleton, eqOn_dslope_slope, ContinuousLinearMap.opNorm_comp_le, contMDiff_smul, MeasureTheory.dist_convolution_le, RCLike.one_im, DoubleCentralizer.nnnorm_fst, ContinuousLinearMap.isUnit_iff_isUnit_toLinearMap, with_gaugeSeminormFamily, TensorProduct.ext_iff_inner_right, RCLike.natCast_re, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Valued.integer.norm_le_one, contMDiffOn_continuousLinearMapCoordChange, LinearEquiv.isPositive_symm_iff, Function.FactorizedRational.meromorphicNFOn_univ, ContinuousLinearMap.instCompleteSpace, ContinuousMultilinearMap.curryFinFinset_apply_const, InnerProductSpace.enorm_rankOne, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, Module.Basis.exists_opNNNorm_le, aestronglyMeasurable_smul_const_iff, absConvexHull_add_subset, InnerProductSpace.Core.inner_self_nonneg, Orthonormal.inner_finsupp_eq_sum_right, RCLike.ofReal_finsuppProd, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, PiTensorProduct.mapL_mul, hasDerivWithinAt_taylor_coeff_within, inner_re_symm, ContinuousLinearMap.toLinearMap_innerSL_apply, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, hasFDerivAt_ofNat, instSeminormClassAlgebraNormSubtypeAlgebraicClosureMemIntermediateFieldNormalClosure, Module.Basis.equivFunL_apply, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, dist_eq, hasFDerivAt_list_prod_finRange', NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, LinearMap.IsSymmetric.adjoint_eq, Trivialization.continuousLinearEquivAt_apply', LinearMap.isPositive_sum, ContinuousMultilinearMap.flipLinear_apply_apply, Submodule.starProjection_norm_le, HasStrictFDerivAt.neg, mfderiv_add, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, HasGradientAt.hasFDerivAt, RCLike.norm_le_re_iff_eq_norm, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, PiLp.volume_preserving_ofLp, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbeddingOfIsReal, MeromorphicOn.inv_iff, rescale_to_shell_semi_normed, FormalMultilinearSeries.comp_id, ContinuousMultilinearMap.hasStrictFDerivAt, Submodule.inner_orthogonalProjection_eq_of_mem_right, Submodule.reflection_reflection, fderivWithin_comp_smul_eq_fderivWithin_smul, ContinuousLinearMap.isLeast_opNNNorm, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, ContinuousMap.adjoin_id_eq_span_one_union, Submodule.isOrtho_iff_le, MeasureTheory.condExp_smul, hasFTaylorSeriesUpTo_succ_nat_iff_right, iteratedFDeriv_add, hasFDerivWithinAt_zero, ContinuousMultilinearMap.isUniformEmbedding_toUniformOnFun, HasFDerivWithinAt.norm_sq, CFC.abs_algebraMap, ordinaryHypergeometric_radius_top_of_neg_nat₂, hasFDerivWithinAt_piLp, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableOn_piLp, ClosedSubmodule.iInf_orthogonal, Asymptotics.isLittleOTVS_iff_smallSets, hasDerivAt_fourier_neg, nhds_hasBasis_absConvex, EuclideanGeometry.reflection_apply_of_mem, norm_fderiv_norm_rpow_le, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, RCLike.ofReal_im, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, Matrix.isStrictlyPositive_iff_posDef, VectorBundle.continuousOn_coordChange', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ZSpan.coe_floor_self, HasFDerivWithinAt.smul_const, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, ContinuousLinearMap.mfderiv_eq, Seminorm.sSup_empty, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, hasFDerivWithinAt_singleton, LinearEquiv.coe_toContinuousLinearEquiv_symm', OrthonormalBasis.equiv_self_rfl, Matrix.IsHermitian.roots_charpoly_eq_eigenvalues, ContinuousAlternatingMap.isLeast_opNorm, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, RCLike.abs_im_le_norm, Matrix.IsHermitian.splits_charpoly, InnerProductSpace.coe_gramSchmidtBasis, dist_homothety_self, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, NormedSpace.isVonNBounded_of_isBounded, HasStrictFDerivAt.add, iteratedFDeriv_eq_equiv_comp, Submodule.reflection_inv, LinearMap.toContinuousLinearMap_eq_iff_eq_toLinearMap, meromorphicTrailingCoeffAt_inv, Unitization.norm_eq_sup, RCLike.nonneg_iff, Real.hasDerivAt_cos, mfderivWithin_comp_of_preimage_mem_nhdsWithin, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, summable_pow_div_add, hasDerivAtFilter_iff_isLittleO, HasStrictFDerivAt.restrictScalars, AffineIsometry.map_vsub, PiTensorProduct.mapL_comp, Submodule.norm_starProjection, isCompactOperator_iff_image_closedBall_subset_compact, fderiv_cos, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, FormalMultilinearSeries.isLittleO_one_of_lt_radius, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', hasDerivAt_exp_smul_const, RCLike.continuous_re, LinearPMap.adjoint_isClosed, NormedSpace.algebraMap_exp_comm, Meromorphic.fun_smul, Unitary.linearIsometryEquiv_coe_symm_apply, Asymptotics.isBigOTVS_neg_left, ContDiff.comp_continuousLinearMap, exists_dual_vector, nndist_center_homothety, hasFDerivWithinAt_comp_smul_smul_iff, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_apply, ContinuousLinearMap.rayleighQuotient_le_norm, OrthonormalBasis.det_to_matrix_orthonormalBasis, ProbabilityTheory.hasDerivAt_complexMGF, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, AffineIsometryEquiv.symm_constVSub, DifferentiableWithinAt.isBigOTVS_sub, ContMDiffWithinAt.smul, LinearMap.isPositive_toContinuousLinearMap_iff, ContinuousLinearMap.norm_def, OrthogonalFamily.summable_of_lp, meromorphicNFOn_inv, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, LinearIsometryEquiv.analyticWithinAt, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', HasFPowerSeriesAt.apply_eq_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', fderivWithin_zero_of_notMem_closure, AddChar.wInner_cWeight_eq_one_iff_eq, ContinuousLinearMap.le_opNorm_of_le, iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, iteratedDerivWithin_one_div, norm_inner_eq_norm_tfae, ContinuousMultilinearMap.opNorm_pi, curveIntegral_fun_add, ContinuousLinearEquiv.lipschitz, iteratedDeriv_vcomp_three, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, Submodule.reflection_mul_reflection, Polynomial.isEquivalent_atTop_div, Real.hasDerivWithinAt_arcsin_Ici, OpenPartialHomeomorph.MDifferentiable.comp_symm_deriv, UniqueDiffWithinAt.smul_iff, HasStrictFDerivAt.arctan, curveIntegral_fun_neg, hasMFDerivAt_inl, HasStrictDerivAt.hasStrictFDerivAt, RCLike.zero_re, RCLike.inner_tmul_eq, deriv.scomp, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAtFilter.const_smul, InnerProductSpace.Core.inner_re_symm, differentiableAt_finCons, InnerProductSpace.gramSchmidt_triangular, ContinuousMultilinearMap.instContinuousConstSMul, NormedSpace.equicontinuous_TFAE, ContinuousLinearMap.differentiable, hasDerivAt_taylorWithinEval_succ, Submodule.starProjection_map_apply, RCLike.smul_im, Bornology.IsBounded.smul₀, HasFDerivAt.multiset_prod, LinearMap.star_eq_adjoint, dist_self_homothety, LinearEquiv.toLinearEquiv_toContinuousLinearEquiv, contDiffWithinAt_succ_iff_hasFDerivWithinAt', IsLocalFrameOn.eventually_eq_sum_coeff_smul, Filter.EventuallyEq.iteratedFDerivWithin', contDiffOn_succ_iff_hasFDerivWithinAt, HasFDerivAt.mul_const, NormedSpace.expSeries_radius_eq_top, differentiableWithinAt_euclidean, ContinuousLinearMap.continuousWithinAt_uncurry_of_multilinear, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', unitary.spectrum_subset_circle, ContinuousLinearMap.opNorm_add_le, ContinuousLinearMap.sSup_sphere_eq_norm, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, DoubleCentralizer.neg_toProd, FormalMultilinearSeries.radius_unshift, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, hasStrictFDerivAt_zero, Matrix.isPositive_toEuclideanLin_iff, ContinuousLinearMap.coe_restrictScalarsIsometry, TensorProduct.enorm_tmul, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, Polynomial.aeval_conj, ContinuousLinearMap.norm_inr, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, Submodule.starProjection_bot, RCLike.re_eq_add_conj, ContinuousLinearMap.differentiableWithinAt, continuousMultilinearCurryFin0_apply, HasFDerivWithinAt.mapsTo_tangent_cone, PiTensorProduct.dualSeminorms_bounded, LinearMap.hasBasis_weakBilin, CommCStarAlgebra.toStarModule, FormalMultilinearSeries.radius_neg, VectorPrebundle.pretrivialization_linear', Function.FactorizedRational.analyticAt, HasFDerivWithinAt.mul_const', extDeriv_smul, PointwiseConvergenceCLM.coeLMₛₗ_apply, ContinuousLinearMap.postcompCompactConvergenceCLM_apply, spectrum.isClosed, HasStrictFDerivAt.iterate, WeakBilin.locallyConvexSpace, Submodule.orthogonal_closure, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, TensorProduct.inner_assoc_assoc, ContinuousMultilinearMap.curryMidEquiv_apply, StrictConvexSpace.strictConvex_closedBall, fderiv_const_mul, ApproximatesLinearOn.lipschitz_sub, ContinuousMultilinearMap.iteratedFDeriv_eq, FormalMultilinearSeries.le_mul_pow_of_radius_pos, ZSpan.norm_fract_le, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, ContinuousLinearMap.reApplyInnerSelf_apply, ZSpan.fundamentalDomain_reindex, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', fderiv_exp, Affine.Simplex.direction_mongePlane, DoubleCentralizer.algebraMap_snd, WeakDual.polar_def, ContinuousLinearMap.differentiableAt, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, fderiv_arctan, fderivWithin_const, RCLike.wInner_cWeight_const_left, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, LinearMap.le_def, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, contDiffAt_inv, iteratedFDerivWithin_succ_apply_left, HasFDerivAtFilter.fun_const_smul, inner_self_eq_norm_mul_norm, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, SchwartzMap.fourier_evalCLM_eq, LinearIsometryEquiv.comp_differentiableWithinAt_iff, LinearMap.adjoint_toSpanSingleton, Matrix.IsHermitian.sort_roots_charpoly_eq_eigenvalues₀, DoubleCentralizer.one_snd, OrthonormalBasis.coe_toBasis, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, ContinuousMultilinearMap.norm_mkPiAlgebra, contDiffOn_infty_iff_fderiv_of_isOpen, hasDerivWithinAt_natCast, Asymptotics.superpolynomialDecay_iff_isLittleO, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, algebraMap_memℓp_infty, ContinuousLinearEquiv.analyticOn, ContinuousMultilinearMap.opNorm_add_le, fderiv_pow_ring', ContinuousLinearMap.map_sub₂, ContinuousLinearMap.bilinearComp_apply, ContinuousMultilinearMap.instContinuousEval, differentiableAt_piLp, Submodule.reflection_sub, TemperedDistribution.instLineDerivSMulReal, iteratedDeriv_comp_neg, fderiv_natCast, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, RCLike.inner_apply, SchwartzMap.evalCLM_apply_apply, LinearMap.IsSymmetric.natCast, HasFDerivAtFilter.fun_sub, upperHemicontinuous_quasispectrum, spectrum.isBounded, OpenPartialHomeomorph.MDifferentiable.mfderiv_bijective, ClosedSubmodule.mem_orthogonal, fderiv_const, DiffContOnCl.smul_const, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Polynomial.differentiableAt_aeval, ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply, WeakDual.CharacterSpace.compContinuousMap_apply, Subalgebra.frontier_subset_frontier, LinearMap.re_inner_adjoint_mul_self_nonneg, PointwiseConvergenceCLM.coeLM_apply, hasDerivAt_id, differentiable_pi, HasFTaylorSeriesUpToOn.fderivWithin, Real.hasDerivAt_rpow_const, ContinuousLinearEquiv.hasFDerivWithinAt, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, ContinuousMultilinearMap.isLeast_opNNNorm, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, MeasureTheory.Integrable.re_im_iff, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, RCLike.normSq_mul, LinearMap.isPositive_self_comp_adjoint, RCLike.hasSum_conj, Polynomial.isEquivalent_atBot_lead, FormalMultilinearSeries.id_comp, fderivWithin.log, circleIntegral.integral_smul, ContinuousLinearMap.norm_map_tail_le, deriv_update, HasFPowerSeriesAt.restrictScalars, contMDiffOn_symm_coordChangeL, hasDerivAt_integral_of_dominated_loc_of_deriv_le, tangentBundleCore_coordChange_model_space, ContinuousLinearMap.instStarModuleId, Polynomial.hasFDerivAt_aeval, Seminorm.convex_ball, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, DoubleCentralizer.instIsCentralScalar, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, continuousAt_inv, Matrix.linearIndependent_of_posDef_gram, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', ContinuousLinearMapWOT.instContinuousSMul, PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, LinearIsometryEquiv.toLinearEquiv_smul, MeasureTheory.MemLp.continuousLinearMap_comp, norm_fderiv_iteratedFDeriv, curveIntegralFun_neg, binomialSeries_radius_eq_top_of_nat, meromorphicOrderAt_smul, Asymptotics.isLittleOTVS_map, conformalFactorAt_inner_eq_mul_inner', hasFDerivAtFilter_snd, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, LinearIsometryEquiv.analyticOn, LinearIsometryEquiv.analyticAt, Matrix.l2_opNNNorm_def, hasMFDerivAt_const, ContinuousMultilinearMap.instIsBoundedSMul, MeromorphicOn.inv, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, hasDerivAtFilter_sub_const_iff, ContinuousLinearMap.integrable_comp, ContinuousLinearMap.adjointAux_adjointAux, Measurable.im, HasStrictFDerivAt.const_sub, Submodule.coe_inner, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, fderiv_sub, hasDerivAt_exp, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ZSpan.span_top, RCLike.norm_im_le_norm, hasFDerivAt_single, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, MeasureTheory.condExpL2_indicator_of_measurable, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, Complex.hasDerivAt_logTaylor, WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, LinearMap.eq_adjoint_iff, ContinuousLinearMapWOT.instContinuousAdd, NumberField.mixedEmbedding.norm_smul, Real.hasStrictDerivAt_arsinh, VectorField.mpullbackWithin_smul_apply, iter_deriv_pow', HasFDerivWithinAt.iterate, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, HasMFDerivWithinAt.sum, Orthonormal.inner_right_finsupp, ConvexOn.convex_re_epigraph, LinearMap.norm_extendTo𝕜'_apply_sq, Asymptotics.isLittleOTVS_iff_isLittleO, OrthonormalBasis.tensorProduct_apply', WithSeminorms.equicontinuous_TFAE, EuclideanSpace.basisFun_repr, RCLike.sqrt_of_nonneg, ImplicitFunctionData.hasStrictFDerivAt, ContinuousLinearMap.integral_comp_id_comm', UniqueMDiffWithinAt.uniqueDiffWithinAt, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, ContinuousLinearMap.coprodEquivL_apply_apply, HasFTaylorSeriesUpToOn.hasFDerivAt, mfderiv_prod_right, LinearIsometry.norm_toContinuousLinearMap_comp, hasStrictFDerivAt_inv, ContinuousLinearMap.isBigOWith_comp, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, continuous_clm_apply, AffineSubspace.isometryEquivMap.coe_apply, ContinuousAlternatingMap.hasBasis_nhds_zero, LinearIsometry.coe_toSpanSingleton, Bornology.isBounded_iff_isVonNBounded, LinearMap.isPositive_iff_complex, inner_self_eq_norm_sq, ContinuousLinearEquiv.isBigO_sub_rev, ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, HasFDerivWithinAt.restrictScalars, DoubleCentralizer.pow_toProd, OrthonormalBasis.equiv_apply_euclideanSpace, measurable_fderiv_apply_const, stereographic_neg_apply, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, IsLocalFrameOn.coeff_apply_of_notMem, isSelfAdjoint_starProjection, InnerProductSpace.gramSchmidt_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, VectorBundleCore.localTriv_coordChange_eq, RCLike.lipschitzWith_re, ContinuousMultilinearMap.uncurryRight_apply, Measurable.re, eventually_norm_symmL_trivializationAt_self_comp_lt, RCLike.ofReal_pow, ContinuousLinearMap.isVonNBounded_iff, InnerProductSpace.Core.inner_smul_ofReal_left, mfderivWithin_zero_of_not_mdifferentiableWithinAt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, fderiv_inv, Differentiable.prodMk, Complex.orthonormalBasisOneI_repr_symm_apply, ModelWithCorners.hasMFDerivWithinAt, derivWithin_comp_mul_left, Manifold.riemannianEDist_def, HasFDerivAtFilter.prodMk, hasDerivAt_circleMap, Asymptotics.IsTheta.multisetProd, HasFDerivAtFilter.isLittleO, curveIntegralFun_fun_zero, RCLike.ofReal_alg, ContinuousLinearMap.bilinearComp_zero, HasFDerivAt.fun_pow', dslope_of_ne, ZSpan.map, DifferentiableAt.prodMk, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, HasMFDerivWithinAt.mul', ContinuousLinearEquiv.norm_symm_pos, Submodule.sInf_orthogonal, ContinuousAlternatingMap.uniformContinuous_coe_fun, ContinuousMultilinearMap.cpolynomialAt, ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, curveIntegralFun_def', PointedContMDiffMap.instIsScalarTowerSomeENatTop, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, Submodule.isOrtho_span, contDiffOn_fderiv_coord_change, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, ZSpan.exist_unique_vadd_mem_fundamentalDomain, ContinuousMultilinearMap.ratio_le_opNorm, HasFDerivAtFilter.fun_add, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, MeasureTheory.hausdorffMeasure_homothety_image, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, MeasureTheory.AEStronglyMeasurable.re, HasFDerivWithinAt.hasDerivWithinAt, Matrix.PosSemidef.isUnit_sqrt_iff, hasDerivAt_iff_hasFDerivAt, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, Polynomial.eventually_atTop_not_isRoot, HasFiniteFPowerSeriesOnBall.neg, RCLike.conj_tsum, RCLike.I_im, HasFDerivAtFilter.comp, LinearMap.weakBilin_withSeminorms, norm_derivWithin_eq_norm_fderivWithin, Asymptotics.IsEquivalent.pow, lineDifferentiableWithinAt_smul_iff, iteratedFDeriv_zero_apply, ContinuousLinearMap.le_def, WeakDual.isClosed_closedBall, contDiff_succ_iff_fderiv_apply, hasDerivAt_fourier, coe_lpPiLpₗᵢ, Submodule.complete_of_finiteDimensional, VectorBundleCore.localTriv_apply, LinearIsometry.inr_apply, fderiv_ccos, LinearMap.isPositive_zero, DoubleCentralizer.zero_fst, fderiv_update, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, ContinuousLinearMap.hasFDerivWithinAt, fdifferential_comp, LinearIsometry.orthonormal_comp_iff, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv, Diffeomorph.uniqueDiffOn_image, ContinuousLinearMap.le_opNorm₂, ContinuousLinearMap.lpPairing_eq_integral, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, Seminorm.continuous_iff, HasFDerivAt.smul_const, ContinuousLinearMap.norm_iteratedFDeriv_comp_left, ContinuousLinearMap.norm_uncurryMid, IsLocalFrameOn.linearIndependent, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', ContDiff.fderiv_apply, EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, ContinuousLinearMap.opNorm_mul_le, ContinuousLinearMap.uncurryLeft_norm, hasFDerivAtFilter_fst, Submodule.isClosed_orthogonal, ContinuousLinearMap.opNorm_subsingleton, hasStrictDerivAt_abs_neg, ContinuousLinearMap.holder_smul_right, NormedSpace.exp_hasFPowerSeriesAt_zero, Filter.EventuallyEq.fderiv, HasFDerivWithinAt.multilinear_comp, HasFPowerSeriesOnBall.tendstoUniformlyOn', Matrix.IsHermitian.eigenvectorUnitary_apply, HasFPowerSeriesWithinOnBall.const_smul, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbedding_of_isReal, fderiv_apply_one_eq_deriv, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, HasFTaylorSeriesUpToOn.compContinuousLinearMap, hasFDerivAt_zero_of_eventually_const, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_top, IsUltrametricDist.algNormOfAlgEquiv_apply, ContinuousAlternatingMap.continuous_restrictScalars, HasFPowerSeriesOnBall.sub, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, hasFDerivAt_const, HasFDerivAt.inner, LinearMap.adjoint_lTensor, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, RCLike.conj_eq_iff_real, MeasureTheory.Integrable.convolution_integrand, HasFDerivAtFilter.star, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, OrthonormalBasis.map_apply, Asymptotics.IsBigO.multisetProd, RCLike.ofNat_mul_im, LinearMap.toMatrixOrthonormal_apply, MeasureTheory.condExpL1CLM_lpMeas, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, fderivWithin_exp, Submodule.isSymmetricProjection_starProjection, deriv_inv'', ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, convex_halfSpace_re_ge, Matrix.IsHermitian.det_eq_prod_eigenvalues, OrthogonalFamily.inner_sum, LinearMap.IsPositive.smul_of_nonneg, NormedSpace.vonNBornology_eq, HasStrictFDerivAt.fun_sub, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, HasFDerivAt.lim, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, Polynomial.tendsto_nhds_iff, ContinuousLinearMap.isometry_mul, Matrix.IsHermitian.spectrum_eq_image_range, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', ContinuousLinearMap.isOpen_injective, isCoveringMapOn_npow, NonUnitalCommCStarAlgebra.toStarModule, ContDiff.continuous_iteratedFDeriv', OrthonormalBasis.sum_repr_symm, HasFDerivAt.const_mul, Meromorphic.pow, RCLike.isCauSeq_im, InnerProductSpace.norm_sq_eq_re_inner, StrongDual.toLpₗ_apply, Orthonormal.inner_left_sum, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, ContinuousLinearMap.continuous_uncurry_of_multilinear, Valued.integer.coe_span_singleton_eq_closedBall, Polynomial.differentiableOn, Pi.orthonormalBasis.toBasis, LinearIsometry.map_starProjection, IsLocalFrameOn.coeff_apply_zero_at, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, egauge_ball_one_le_of_one_lt_norm, HasFTaylorSeriesUpToOn.add, NormedSpace.norm_expSeries_summable', MeasureTheory.dist_convolution_le', formalMultilinearSeries_geometric_eq_ofScalars, isQuotientCoveringMap_zpow, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, VectorField.lieBracket_const_smul_right, Asymptotics.IsBigO.hasFDerivWithinAt, dist_homothety_center, LinearMap.continuous_of_nonzero_on_open, Submodule.inf_orthogonal, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, LinearIsometryEquiv.strictConvex_image, fderiv_add, ContinuousMultilinearMap.isEmbedding_toUniformOnFun, SchwartzMap.le_seminorm, IsLocalDiffeomorph.mfderivToContinuousLinearEquiv_coe, DoubleCentralizer.nnnorm_fst_eq_snd, toWeakSpace_closedConvexHull_eq, Unitization.norm_def, Submodule.IsOrtho.le, Asymptotics.IsBigO.finsetProd, Submodule.reflection_map, ContinuousAlternatingMap.instT3Space, InnerProductSpace.span_gramSchmidt_Iic, MDifferentiableAt.smul, LinearMap.IsSymmetric.direct_sum_isInternal, Submodule.det_reflection, ContinuousLinearMap.measurable_apply, selfAdjoint.star_coe_unitarySelfAddISMul, hasFDerivAtFilter_iff_isLittleOTVS, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, RCLike.hasSum_re, ContinuousMultilinearMap.norm_ofSubsingleton_id_le, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, TensorProduct.inner_comm_comm, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Submodule.inner_orthogonalProjection_eq_of_mem_left, ContMDiffWithinAt.mfderivWithin, convex_halfSpace_im_ge, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, eventually_norm_symmL_trivializationAt_comp_self_lt, ContinuousLinearMap.IsPositive.add, EuclideanSpace.volume_ball_fin_three, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, CurveIntegrable.fun_neg, MeromorphicAt.pow, AffineSubspace.subtypeₐᵢ_linear, mfderivWithin_const, hasStrictFDerivAt_pow', Polynomial.hasStrictDerivAt_aeval, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, VectorPrebundle.exists_coordChange, Asymptotics.superpolynomialDecay_iff_isBigO, DoubleCentralizer.one_fst, ContinuousLinearMap.norm_extendTo𝕜', HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, StrongDual.polar_univ, NormedAlgebra.instRegularNormedAlgebra, fderivWithin_eventually_congr_set, convex_halfSpace_re_lt, LinearIsometry.coe_toAffineIsometry, linearIndependent_of_ne_zero_of_inner_eq_zero, ContDiffMapSupportedIn.postcompCLM_apply, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, IsContDiffImplicitAt.bijective, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ContinuousAlternatingMap.restrictScalarsLI_apply, fderivWithin_fun_const, Complex.restrictScalars_toSpanSingleton, ContinuousMultilinearMap.opNNNorm_prod, ContinuousLinearEquiv.comp_right_differentiableOn_iff, OpenPartialHomeomorph.MDifferentiable.mfderiv_surjective, ContinuousLinearMap.opENorm_comp_le, hasGradientAt_iff_hasFDerivAt, Asymptotics.IsTheta.isThetaTVS, Asymptotics.isEquivalent_nat_floor, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, HasFPowerSeriesOnBall.tendsto_partialSum, maximal_orthonormal_iff_orthogonalComplement_eq_bot, hasMFDerivWithinAt_const, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, Filter.Tendsto.zero_smul_isBoundedUnder_le, Submodule.reflection_orthogonal, fderiv_fun_mul', ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, HasFPowerSeriesOnBall.factorial_smul, HasFDerivAt.const_smul, HasFDerivAt.hasLineDerivAt, derivWithin_pi, ContinuousAlternatingMap.norm_image_sub_le', NumberField.InfinitePlace.Completion.extensionEmbedding_coe, HasFPowerSeriesWithinAt.prod, ContMDiffMap.coe_smul, iteratedFDeriv_succ_apply_right, Submodule.isOrtho_top_right, FormalMultilinearSeries.leftInv_coeff_one, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, MeromorphicAt.prod, ContinuousLinearMap.hasMFDerivAt, TensorProduct.assocIsometry_apply, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, Orthonormal.inner_finsupp_eq_sum_left, fderiv_deriv, Matrix.IsHermitian.spectral_theorem, WithLp.unitizationAlgEquiv_symm_apply_ofLp, hasFPowerSeriesAt_pi_iff, Module.Basis.continuous_toMatrix, norm_cfcₙ_le, hasDerivWithinAt_univ, Asymptotics.isLittleOTVS_neg_right, LinearIsometryEquiv.hasFDerivAt, ContinuousAlternatingMap.uniformContinuous_toContinuousMultilinearMap, RCLike.mul_im_I_ax, Seminorm.ball_zero_absorbs_ball_zero, RCLike.continuous_conj, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, HasFDerivAtFilter.add, ContinuousLinearEquiv.contDiffWithinAt_comp_iff, PointwiseConvergenceCLM.precomp_apply, Matrix.PosSemidef.sq_sqrt, uniqueMDiffWithinAt_iff, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, LinearIsometryEquiv.rTensor_apply, LinearIsometryEquiv.inner_map_map, norm_algebraMap, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', Trivialization.apply_eq_prod_continuousLinearEquivAt, HasFDerivWithinAt.comp, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, ContinuousAlternatingMap.le_opNorm_mul_pow_card_of_le, ContinuousLinearMapWOT.ext_dual_iff, LinearIsometry.integral_comp_comm, contDiff_clm_apply_iff, HasFPowerSeriesAt.hasFDerivAt, OrthonormalBasis.measurePreserving_repr_symm, WeakDual.isClosed_polar, hasStrictFDerivAt_finCons', spec_cfcₙAux, norm_fderiv_norm, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, ClosedSubmodule.orthogonal_eq_top_iff, fderiv_comp, eventually_enorm_mfderiv_extChartAt_lt, QuadraticMap.lineDifferentiableAt, EuclideanSpace.piLpCongrLeft_single, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, hasFDerivAt_exp_smul_const, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, ContinuousLinearMap.hasStrictFDerivAt, PreInnerProductSpace.Core.re_inner_nonneg, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, oneTangentSpaceIcc_def, smul_unitBall, IsSymmSndFDerivAt.iteratedFDeriv_cons, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, RCLike.normSq_eq_def', ContinuousLinearMap.comp_analyticOn, Polynomial.isBoundedUnder_abs_atBot_iff, analyticOrderAt_pow, hasStrictDerivAt_const, ContinuousLinearMap.continuousConstSMul, fderiv_finset_prod, ModelWithCorners.hasMFDerivWithinAt_symm, Bundle.Trivial.trivialization.isLinear, ContinuousLinearMap.coeFn_compLpL, hasStrictFDerivAt_list_prod_attach', deriv_single, StrongDual.norm_toLpₗ_le, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, hasFDerivWithinAt_euclidean, ClosedSubmodule.mem_orthogonal_iff, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, DoubleCentralizer.sub_fst, tangentConeAt_real_subset_isRCLikeNormedField, range_deriv_subset_closure_span_image, Matrix.PosDef.isStrictlyPositive, Module.Basis.parallelepiped_eq_map, ContDiffMapSupportedIn.norm_apply_le_seminorm, contDiffOn_clm_apply, ContinuousLinearMap.le_opNNNorm, RCLike.re_mul_ofReal, nnnorm_cfc_le, LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, FormalMultilinearSeries.id_apply_zero, SchwartzMap.hasDerivAt, Submodule.starProjection_orthogonal, Seminorm.inf_apply, PiTensorProduct.mapLMultilinear_apply_apply, ContinuousLinearMap.instNonnegSpectrumClassRealId, iteratedDeriv_comp_two, ContinuousLinearMap.uncurryMid_apply, ContinuousMap.setOfIdeal_eq_compl_singleton, hasFDerivAt_update, spectralNorm_extends, isBoundedBilinearMap_apply, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, Matrix.IsHermitian.eigenvectorUnitary_coe, hasStrictFDerivAt_ringInverse, ContDiffOn.continuousOn_fderiv_of_isOpen, ContinuousLinearMap.mul_apply', ContDiffOn.continuousLinearMap_comp, HasFDerivAt.fun_sum, stereographic_target, fderiv_zero_of_not_differentiableAt, Unitary.norm_map, LinearMap.instStarModuleId, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, Submodule.starProjection_apply_mem, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, RCLike.im_tsum, InnerProductSpace.rankOne_comp_rankOne, ContinuousLinearMap.opNorm_zero, MeasureTheory.convolution_lsmul_swap, Real.hasStrictDerivAt_arctan, HasFTaylorSeriesUpToOn.prodMk, Matrix.PosSemidef.det_nonneg, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, AnalyticAt.hasFPowerSeriesAt, ZLattice.volume_image_eq_volume_div_covolume, hasDerivAtFilter_finCons', mfderivWithin_prodMap, LinearIsometry.toLinearMap_rTensor, PiLp.hasStrictFDerivAt_apply, hasStrictFDerivAt_fst, DifferentiableAt.comp_semilinear₁, RCLike.norm_re_le_norm, Matrix.toEuclideanLin_eq_toLin, UniqueMDiffOn.uniqueDiffOn_inter_preimage, CFC.log_smul', DoubleCentralizer.pow_fst, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, MeromorphicAt.meromorphicTrailingCoeffAt_smul, fderiv_smul_const, PiTensorProduct.mapL_apply, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, re_inner_self_pos, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, mfderiv_sumInr, ContinuousMultilinearMap.norm_iteratedFDeriv_le', support_iteratedFDeriv_subset, hasStrictFDerivAt_finset_prod, convex_RCLike_iff_convex_real, instContMDiffInv₀ModelWithCornersSelf, spectralAlgNorm_extends, Submodule.le_orthogonal_iff_le_orthogonal, fderiv_fun_neg, Valued.integer.norm_unit, curveIntegral_zero, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, Submodule.mem_orthogonal, StrongDual.mem_polarSubmodule, exists_dual_vector', MeromorphicAt.fun_prod, derivWithin_inv', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, Asymptotics.IsTheta.const_smul_left, Asymptotics.isLittleOTVS_comm, ContinuousLinearMap.hasBasis_nhds_zero_of_basis, hasFPowerSeriesWithinAt_pi_iff, isCompactOperator_iff_isCompact_closure_image_closedBall, NumberField.InfinitePlace.Completion.bijective_extensionEmbeddingOfIsReal, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, LinearMap.continuous_of_finiteDimensional, hasDerivAt_iff_isLittleO_nhds_zero, HasFDerivAt.le_of_lip', inner_smul_right, SchwartzMap.tsupport_smulLeftCLM_subset, HasMFDerivAt.sub, InnerProductSpace.toMatrix_rankOne, eventually_norm_symmL_trivializationAt_lt, ContinuousMultilinearMap.le_opNorm_mul_pow_card_of_le, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, LinearMap.polar_AbsConvex, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, differentiableAt_euclidean, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, hasFDerivAtFilter_finCons, PiTensorProduct.liftIsometry_comp_mapL, iteratedFDeriv_smul_const_apply, Seminorm.continuous_from_bounded, OrthonormalBasis.reindex_toBasis, ContinuousLinearMap.opNorm_le_iff, RCLike.geometric_hahn_banach_open, RCLike.conj_wInner_symm, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, Commute.cfcHom, Real.hasDerivAt_cosh, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, tsupport_fderiv_subset, HasFPowerSeriesAt.deriv, fderiv_id', LinearIsometryEquiv.symm_rTensor, LinearMap.isSymmetricProjection_iff, uniqueMDiffWithinAt_iff_inter_range, mfderiv_snd, HasMFDerivWithinAt.add, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, LinearMap.eq_adjoint_iff_basis, cfc_apply_mem_elemental, HasCompactSupport.iteratedFDeriv, TensorProduct.commIsometry_symm, isStarProjection_starProjection, precomp_compactConvergenceCLM_apply, unitary.norm_map, Asymptotics.IsBigOTVS.rfl, Set.EqOn.iteratedFDerivWithin, ContinuousLinearEquiv.fderiv, Seminorm.bddBelow_range_add, ContinuousAlternatingMap.restrictScalarsCLM_apply, ContMDiffWithinAt.mfderivWithin_apply, Asymptotics.IsLittleOTVS.bot, SchwartzMap.tsupport_fderivCLM_subset, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, ContinuousLinearMap.isBigOTVS_comp, ContinuousLinearEquiv.mdifferentiableWithinAt, hfdifferential_apply, ContinuousLinearMap.NonlinearRightInverse.right_inv', ContinuousLinearEquiv.mdifferentiable, AnalyticAt.exists_eq_sum_add_pow_mul, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, ContinuousLinearMap.integral_comp_L1_comm, curveIntegralFun_add, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, ContinuousLinearMap.opNorm_zero_iff, LinearEquiv.isSymmetric_symm_iff, InnerProductSpace.gramSchmidt_def'', Real.hasDerivAt_fourierChar, OrthonormalBasis.equiv_symm, AnalyticOnNhd.fderiv, hasDerivAt_intCast, HasFDerivWithinAt.sub, Seminorm.absorbent_ball_zero, LindemannWeierstrass.integral_exp_mul_eval, HasFDerivAtFilter.fun_neg, LinearEquiv.coe_toContinuousLinearEquiv, PiTensorProduct.liftIsometry_symm_apply, nnnorm_cfcₙHom, SchwartzMap.smulLeftCLM_neg, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, ContinuousLinearEquiv.comp_differentiableAt_iff, EuclideanSpace.volume_preserving_symm_measurableEquiv_toLp, InnerProductSpace.Core.inner_mul_symm_re_eq_norm, MeasureTheory.integral_fin_nat_prod_eq_prod, mfderiv_zero_of_not_mdifferentiableAt, Asymptotics.IsTheta.pow, spectrum.differentiableOn_inverse_one_sub_smul, Trivialization.continuousLinearEquivAt_prod, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, iteratedFDeriv_succ_eq_comp_right, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, RCLike.inv_pos_of_pos, ContinuousMultilinearMap.changeOriginSeries_support, ContinuousLinearEquiv.comp_hasFDerivAt_iff', curveIntegralFun_sub, Asymptotics.isBigOTVS_fun_comm, ContDiffMapSupportedIn.seminorm_apply, FormalMultilinearSeries.isLittleO_of_lt_radius, tsupport_iteratedFDeriv_subset, OrthogonalFamily.eq_ite, logDeriv_inv, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, ContinuousMultilinearMap.hasFDerivAt, ODE.hasDerivWithinAt_picard_Icc, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, Real.iteratedFDeriv_fourier, Seminorm.smul_closedBall_subset, DoubleCentralizer.algebraMap_fst, RCLike.re_le_re, differentiableOn_euclidean, RCLike.reLm_coe, hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, nnnorm_fderiv_norm_rpow_le, hasFDerivWithinAt_natCast, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, ContinuousLinearMap.toBilinForm_injective, InnerProductSpace.mem_span_gramSchmidt, ContinuousLinearMap.mfderivWithin_eq, ContinuousMultilinearMap.nnnorm_ofSubsingleton, inner_smul_real_left, ContinuousLinearMap.continuousOn_uncurry_of_multilinear, RCLike.natCast_im, Asymptotics.IsTheta.inv, tsum_prod_pow_eq_tsum_sigma, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, ContDiff.continuous_iteratedFDeriv, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, MeasureTheory.integrable_condExpL2_indicator, Real.hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, ImplicitFunctionData.range_rightDeriv, tangentCoordChange_self, toSpanSingleton_derivWithin, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, ContinuousAlternatingMap.isLeast_opNNNorm, ContinuousLinearMap.isEmbedding_restrictScalars, MeasureTheory.MemLp.re, RCLike.nnnorm_conj, RCLike.ratCast_re, HasFiniteFPowerSeriesOnBall.eq_partialSum', MeasureTheory.AEStronglyMeasurable.im, VectorField.mlieBracket_const_smul_left, RCLike.ofReal_eq_re_of_isSelfAdjoint, Matrix.IsHermitian.coe_re_apply_self, LinearIsometry.enorm_toContinuousLinearMap, Unitization.instCStarRing, coe_lpBCFₗᵢ_symm, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, uniqueMDiffOn_iff_uniqueDiffOn, coe_lpPiLpₗᵢ_symm, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, Bornology.isVonNBounded_sub, differentiable_piLp, ClosedSubmodule.inf_orthogonal_eq_bot, HasFPowerSeriesOnBall.pi, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, Submodule.reflection_eq_self_iff, stereographic_source, ContinuousMultilinearMap.piₗᵢ_symm_apply, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, Commute.cfc, RCLike.lt_iff_re_im, AlgHom.coe_toContinuousLinearMap, ContDiff.iteratedFDeriv_right', ContinuousLinearMap.norm_id_le, HasFDerivAt.le_of_lipschitz, AnalyticAt.analyticOrderAt_ne_top, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, LinearEquiv.canLiftContinuousLinearEquiv, Matrix.ofLp_toEuclideanLin_apply, spectralNorm.eq_of_normalClosure', mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', Filter.Tendsto.isVonNBounded_range, Real.hasFDerivAt_fourierIntegral, NumberField.InfinitePlace.Completion.bijective_extensionEmbedding_of_isComplex, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, SchwartzMap.integralCLM_apply, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, PolynormableSpace.withSeminorms', hasDerivAt_one, HasStrictFDerivAt.hasStrictDerivAt, FormalMultilinearSeries.radius_shift, EuclideanSpace.volume_ball_fin_two, ContinuousLinearEquiv.comp_right_differentiableAt_iff, nnnorm_algebraMap', norm_add_sq, spectralNorm.spectralNorm_eq_norm_coeff_zero_rpow, fderivWithin_sqrt, fderivWithin_natCast, RCLike.norm_sq_re_conj_add, ContinuousMap.spectrum_eq_range, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, IsZLattice.span_top, Valued.integer.exists_nnnorm_lt_one, innerSLFlip_apply, ContinuousLinearEquiv.differentiableOn, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, ContinuousMultilinearMap.hasBasis_nhds_zero_of_basis, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, Submodule.ker_starProjection, ContinuousLinearEquiv.mfderiv_eq, hasDerivAt_const_mul, Trivialization.coe_continuousLinearEquivAt_eq, hasLineDerivAt_iff_tendsto_slope_zero, InnerProductSpace.toContinuousLinearMap_toDualMap, HasFDerivAt.list_prod', MeasureTheory.MemLp.condExpL2_ae_eq_condExp', RCLike.normSq_pos, ContinuousLinearEquiv.comp_contDiffWithinAt_iff, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, IsSelfAdjoint.commute_cfcₙHom, ContinuousLinearMap.measurable_coe, HasFDerivAt.fun_neg, ContinuousLinearMap.analyticOn, fderiv_sinh, ContinuousLinearMap.nndist_le_opNNNorm, norm_iteratedFDeriv_prod_le, inner_eq_ofReal_norm_sq_left_iff, contDiff_nat_iff_continuous_differentiable, hasFDerivAt_pow', ContinuousAlternatingMap.hasBasis_nhds_zero_of_basis, absorbent_ball, norm_add_mul_self, SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, OrderedFinpartition.compAlongOrderFinpartition_apply, Trivialization.continuousLinearEquivAt_symm_apply, Submodule.topologicalClosure_eq_top_iff, hasDerivAt_abs, mdifferentiableOn_coordChangeL, RCLike.conj_im, HasFiniteFPowerSeriesOnBall.add, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, ContDiffAt.iteratedFDeriv_comp_perm, Polynomial.hasDerivAt, HasFDerivAt.fun_add, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, VectorPrebundle.mk_coordChange, ContinuousLinearMap.opNorm_lsmul_le, EuclideanSpace.volume_ball, LinearMap.IsSymmetric.zero, TensorProduct.enorm_assoc, RCLike.conj_I, OrthonormalBasis.repr_symm_single, ContinuousMultilinearMap.instUniformContinuousConstSMul, WeakDual.CharacterSpace.norm_le_norm_one, Matrix.linfty_opNorm_toMatrix, hasDerivAt_natCast, Seminorm.rescale_to_shell, Submodule.reflection_bot, ContinuousMultilinearMap.opNNNorm_pi, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, closedBall_normSeminorm, Real.hasStrictDerivAt_cos, InnerProductSpace.Core.inner_self_ofReal_re, ContinuousLinearMap.isPositive_def', ContinuousLinearMap.coe_restrictScalarsL, LinearMap.adjoint_inner_left, iter_deriv_inv, HasMFDerivAt.comp_hasMFDerivWithinAt, Matrix.star_dotProduct_gram_mulVec, hasStrictFDerivAt_exp_zero, ContinuousLinearMap.norm_compL_le, RCLike.hasSum_iff, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, RCLike.measurable_im, ContMDiffVectorBundle.contMDiffOn_coordChangeL, EulerSine.antideriv_cos_comp_const_mul, ContDiff.inv, curveIntegral_eq_intervalIntegral_deriv, Filter.EventuallyEq.fderivWithin', ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.inv_def, ContinuousLinearMap.inCoordinates_eq, meromorphicOrderAt_smul_of_ne_zero, mfderiv_prodMk, Bornology.isVonNBounded_add, HasFPowerSeriesAt.sub, hasMFDerivWithinAt_snd, ContDiffAt.continuousLinearMap_comp, ContinuousMultilinearMap.norm_domDomCongr, HasStrictFDerivAt.fun_neg, hasDerivWithinAt_zpow, HasFDerivWithinAt.arctan, ZSpan.quotientEquiv.symm_apply, OrthogonalFamily.range_linearIsometry, NumberField.mixedEmbedding.convexBodyLT_convex, HasStrictFDerivAt.sum, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, HasCompactSupport.fderiv_apply, Submodule.ker_orthogonalProjection, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, innerSL_real_flip, Submodule.reflection_map_apply, HasDerivAt.real_of_complex, TensorProduct.dist_tmul_le, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt', SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, AffineIsometry.map_vadd, RCLike.re_eq_ofReal_of_isSelfAdjoint, ContinuousMultilinearMap.curry0_norm, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, Submodule.sup_orthogonal_of_hasOrthogonalProjection, TensorProduct.norm_lid, MeasureTheory.lpTrimToLpMeas_ae_eq, ContinuousLinearMap.norm_fst, ContinuousAlternatingMap.nnnorm_toContinuousMultilinearMap, OrderedFinpartition.applyOrderedFinpartition_apply, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, NormedAlgebra.Real.nonempty_algEquiv_or, CFC.quasispectrum_abs, ContinuousLinearMap.opNNNorm_comp_le, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_iSup_right, TensorProduct.toLinearEquiv_assocIsometry, ContinuousMultilinearMap.analyticOn, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, HasMFDerivAt.prod, MeromorphicNFAt.smul_analytic, fderivWithin_csin, ContinuousLinearEquiv.conjContinuousAlgEquiv_ext_iff, Submodule.IsOrtho.disjoint, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, norm_cfc_le, ZLattice.volume_image_eq_volume_div_covolume', PiTensorProduct.mapL_opNorm, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, iter_deriv_inv', toMatrix_innerSL_apply, OrthonormalBasis.equiv_apply_basis, ClosedSubmodule.sInf_orthogonal, intervalIntegral.fderivWithin_integral_of_tendsto_ae, hasStrictFDerivAt_one, Function.HasTemperateGrowth.smul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, HasStrictFDerivAt.isBigOTVS_sub, DoubleCentralizer.mul_fst, Matrix.PosSemidef.re_dotProduct_nonneg, rescale_to_shell_zpow, Polynomial.isBoundedUnder_abs_atTop_iff, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, balanced_closedBall_zero, iteratedFDeriv_zero_fun, Submodule.HasOrthogonalProjection.exists_orthogonal, HasFDerivAt.prodMk, ContinuousLinearEquiv.comp_contDiffOn_iff, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, CFC.spectrum_abs, MDifferentiableAt.coordChangeL, Manifold.IsImmersionAt.target_subset_preimage_target, Submodule.starProjection_top, EulerSine.antideriv_sin_comp_const_mul, hasFDerivAt_sub_const, Submodule.iInf_orthogonal, ContinuousLinearMap.norm_restrictScalars, ContinuousLinearMapWOT.instT3Space, coe_normSeminorm, ContinuousLinearEquiv.arrowCongrSL_apply, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, Pretrivialization.continuousLinearMap_apply, NormedAlgebra.norm_smul_le, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, ContDiffBump.convolution_eq_right, hasFDerivWithinAt_fst, ModelWithCorners.transContinuousLinearEquiv_range, iteratedDeriv_comp_eq_sum_orderedFinpartition, TensorProduct.nnnorm_assoc, hasFDerivAt_natCast, FormalMultilinearSeries.analyticAt_changeOrigin, DoubleCentralizer.coe_eq_algebraMap, ContinuousLinearMap.opNorm_mul_apply_le, hasFDerivAt_intCast, PiTensorProduct.tprodL_apply, CStarMatrix.normedSpaceCore, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, RCLike.re_le_norm, HasFPowerSeriesAt.tendsto_partialSum, Polynomial.aeval_ofReal, Diffeomorph.uniqueDiffOn_preimage, deriv_pow_field, ZSpan.repr_fract_apply, ContinuousLinearMap.orthogonal_range, contDiff_one_iff_hasFDerivAt, HasFiniteFPowerSeriesAt.add, Submodule.lipschitzWith_starProjection, HasFPowerSeriesAt.hasDerivAt, ContinuousLinearMap.isPositive_iff_complex, hasDerivWithinAt_congr_set', HasFDerivWithinAt.comp_hasFDerivAt_of_eq, NormedSpace.norm_smul_le, HasFPowerSeriesAt.eventually_hasSum_sub, meromorphicOrderAt_pow, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, ContinuousLinearMap.comp_cpolynomialOn, HasFDerivAt.linear_multilinear_comp, ContinuousLinearMap.opNorm_smul_le, InnerProductSpace.span_gramSchmidt, Asymptotics.isLittleOTVS_congr, hasDerivAt_gronwallBound, fderiv_zero, hasDerivWithinAt_const_add_iff, logDeriv_prod, EuclideanGeometry.hasFDerivAt_inversion, fderiv_comp', MeasureTheory.convolutionExistsAt_iff_integrable_swap, ContinuousMultilinearMap.le_opNorm_mul_prod_of_le, PiLp.hasFDerivAt_ofLp, meromorphicTrailingCoeffAt_prod, RCLike.ofNat_im, deriv_div, torusIntegral_smul, ZLattice.comap_comp, norm_iteratedFDeriv_one, VectorField.mpullback_smul, hasDerivAt_ofReal_cpow_const, LinearIsometryEquiv.comp_differentiable_iff, hasDerivAt_norm_rpow, hasFDerivAtFilter_id, HasStrictFDerivAt.fun_const_smul, OrthonormalBasis.span_apply, isConformalMap_id, iteratedFDerivWithin_eventually_congr_set', ContinuousMultilinearMap.analyticOnNhd, ClosedSubmodule.orthogonal_toSubmodule_eq, HasFDerivAt.hasDerivAt, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, differentiableAt_finCons', ContinuousLinearMap.isPositive_iff, TensorProduct.mapIsometry_apply, ContinuousMultilinearMap.compContinuousLinearMapL_apply, VectorBundleCore.inCoordinates_eq, Seminorm.smul_closedBall_preimage, HasFDerivWithinAt.unique_on, HasStrictFDerivAt.prodMap, MeromorphicOn.extract_zeros_poles, VectorField.pullbackWithin_eq, Matrix.IsHermitian.cfcAux_id, cfcₙAux_mem_range_inr, ContinuousLinearMap.norm_bilinearRestrictScalars, RCLike.inv_pos, ContinuousLinearMap.nhds_zero_eq, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, ContinuousMap.adjoin_id_eq_span_one_add, ContinuousLinearMap.norm_inl, LinearMap.IsSymmetric.sub, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, ProbabilityTheory.covarianceBilin_map, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, RCLike.real_smul_ofReal, ContinuousLinearEquiv.comp_differentiable_iff, cfcₙ_norm_sq_nonneg, SchwartzMap.instFourierSMul, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, SchwartzMap.fourierTransformCLM_apply, AffineSubspace.signedInfDist_singleton, RCLike.norm_sq_eq_def, HasFPowerSeriesWithinOnBall.neg, norm_deriv_eq_norm_fderiv, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Trivialization.symm_continuousLinearEquivAt_eq, DoubleCentralizer.zero_toProd, Matrix.IsHermitian.coe_re_diag, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, NumberField.InfinitePlace.Completion.extensionEmbedding_of_isReal_coe, ContinuousLinearMap.bilinearComp_zero_left, ContinuousLinearMap.nnnorm_smulRight_apply, hasFPowerSeriesWithinOnBall_pi_iff, hasDerivAt_zero, LinearIsometryEquiv.smul_trans, SchwartzMap.fderivCLM_fourier_eq, ContinuousMultilinearMap.instContinuousSMul, withSeminorms_pi, ContinuousLinearEquiv.contDiffOn_comp_iff, mellin_const_smul, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, ContMDiffOn.const_smul_section, SchwartzMap.derivCLM_apply, ContDiffAt.fderiv, Matrix.toLin_finTwoProd_toContinuousLinearMap, HasFPowerSeriesOnBall.eventually_hasSum_sub, TensorProduct.toLinearMap_mapIsometry, ContinuousMultilinearMap.opNNNorm_le_iff, RCLike.ratCast_im, VectorBundleCore.continuousOn_coordChange, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivWithinAt_inter', ContinuousAlternatingMap.instCompleteSpace, mfderiv_comp_apply, AffineSubspace.subtypeₐᵢ_linearIsometry, Unitary.inner_map_map, ContDiffBump.dist_normed_convolution_le, HasFDerivWithinAt.fun_sum, RCLike.I_mul_re, fderiv_fun_const_smul, Real.hasDerivAt_arctan', TensorProduct.enorm_map, uniformEquicontinuous_birkhoffAverage, deriv_comp_mul_left, hasDerivAt_neg, LinearMap.IsSymmetric.id, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, RCLike.conj_eq_iff_im, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, PiTensorProduct.norm_eval_le_projectiveSeminorm, iteratedFDeriv_zero_eq_comp, isCompactOperator_iff_image_ball_subset_compact, intervalIntegral.integral_hasDerivAt_right, tsupport_fderiv_apply_subset, hasFTaylorSeriesUpToOn_succ_iff_left, WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded, HasCompactSupport.hasDerivAt_convolution_left, Polynomial.hasStrictDerivAt, IsConformalMap.comp, ContinuousLinearEquiv.isBigO_comp_rev, Real.hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, HasFPowerSeriesWithinOnBall.add, Commute.cfcₙ, ContinuousLinearMap.add_compLp, NumberField.mixedEmbedding.logMap_real, curveIntegralFun_restrictScalars, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, meromorphicNFAt_smul_iff_right_of_analyticAt, ContinuousLinearMap.adjointAux_inner_right, hasFDerivWithinAt_ofNat, HasDerivWithinAt.Ioi_iff_Ioo, MeromorphicOn.smul, HasMFDerivWithinAt.mul, OpenPartialHomeomorph.MDifferentiable.symm_comp_deriv, ContinuousLinearEquiv.isOpen, HilbertBasis.repr_self, RCLike.conj_re_ax, TensorProduct.commIsometry_apply, ContinuousLinearEquiv.coe_toDiffeomorph, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.condExpInd_smul', ContinuousLinearMap.isBigO_sub, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, DoubleCentralizer.norm_fst, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, measurable_smul_const, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, ContinuousLinearMap.prodL_apply, Real.hasStrictDerivAt_sin, StrongDual.zero_mem_polar, RCLike.mul_self_norm, TensorProduct.congrIsometry_symm, Subalgebra.frontier_spectrum, BoundedContinuousFunction.coe_toContinuousMapₐ, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, Complex.log_eq_integral, ContinuousAlternatingMap.norm_ofSubsingleton_id, LinearIsometry.contDiff, Trivialization.continuousLinearMapAt_symmL, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, HasFDerivAtFilter.isLittleOTVS, Matrix.IsHermitian.roots_charpoly_eq_eigenvalues₀, LinearMap.IsSymmetric.orthogonal_range, iteratedDerivWithin_eq_equiv_comp, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le, HasFDerivAt.const_sub, Polynomial.differentiableAt, LinearPMap.adjointDomainMkCLMExtend_apply, dimH_orthogonalProjection_le, fderiv_ccosh, instDiscreteTopologySubtypeMemSubmoduleIntComap, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, inner_mul_symm_re_eq_norm, ContinuousMultilinearMap.bound, DoubleCentralizer.coe_fst, HasStrictFDerivAt.fun_smul, hasStrictFDerivAt_ofNat, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, ContDiffPointwiseHolderAt.fderiv, fderiv_fun_mul, curveIntegral_fun_sub, HasFiniteFPowerSeriesOnBall.finite, Submodule.re_inner_starProjection_nonneg, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, Submodule.adjoint_orthogonalProjection, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.MemLp.im, HasFDerivAt.pow', HasStrictFDerivAt.pow', instCompletableTopField, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, Asymptotics.IsEquivalent.inv, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', CurveIntegrable.smul, AffineIsometryEquiv.ofEq_rfl, ContinuousLinearMap.hasFDerivAt_of_bilinear, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, Submodule.isOrtho_bot_right, mfderivWithin_prodMk, LinearMap.adjoint_comp, FormalMultilinearSeries.min_radius_le_radius_add, ContinuousAlternatingMap.opNorm_le_iff, hasStrictDerivAt_one, HasStrictFDerivAt.multiset_prod, OpenPartialHomeomorph.MDifferentiable.mfderiv_injective, LinearMap.IsPositive.inner_nonneg_right, Matrix.toEuclideanLin_apply_piLp_toLp, RCLike.realRingEquiv_apply, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, Valued.integer.mem_iff, InnerProductSpace.span_gramSchmidt_Iio, ContinuousAlternatingMap.curryLeft_add, HasFPowerSeriesAt.pi, smul_ball, LinearIsometryEquiv.lTensor_def, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', RCLike.mul_im, Seminorm.smul_ball_preimage, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, LinearIsometry.strictConvexSpace_range_iff, HasFDerivWithinAt.smul, Matrix.linfty_opNorm_eq_opNorm, ContinuousAlternatingMap.prodLIE_apply, Submodule.mem_orthogonal_singleton_iff_inner_left, NumberField.InfinitePlace.Completion.surjective_extensionEmbedding_of_isReal, mfderivWithin_eventually_congr_set, ValueDistribution.logCounting_pow_zero, Manifold.IsImmersionAtOfComplement.writtenInCharts, LinearIsometry.inl_apply, hasDerivAt_pow, SchwartzMap.decay, ModelWithCorners.uniqueDiffWithinAt_image, LinearIsometryEquiv.comp_hasFDerivAt_iff', Submodule.mem_adjoint_iff, FormalMultilinearSeries.summable_nnnorm_mul_pow, RCLike.normSq_div, norm_fderiv_le_of_lipschitzOn, RCLike.im_sq_le_normSq, ContinuousLinearMap.isBoundedLinearMap, LinearMap.isSymmetric_iff_isSelfAdjoint, ContinuousLinearMap.opNorm_le_iff_lipschitz, CPolynomialOn.fderiv, Function.FactorizedRational.extractFactor, Submodule.reflection_involutive, SchwartzMap.convolution_flip, ContinuousLinearMap.opNorm_flip, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, ContinuousLinearMap.precompCompactConvergenceCLM_apply, VectorPrebundle.continuousOn_coordChange, VectorField.mpullbackWithin_apply, LinearMap.isSymmetric_iff_sesqForm, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, hasStrictDerivAt_exp, HasStrictFDerivAt.mul_const', ContinuousLinearMap.IsPositive.adjoint_conj, measurable_fderiv_with_param, LinearIsometryEquiv.reflections_generate_dim, mfderiv_const, IsConformalMap.smul, iteratedFDeriv_prodMk, isCoveringMap_npow, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, SchwartzMap.lineDerivOp_apply_eq_fderiv, Real.hasStrictDerivAt_sqrt, Complex.hasDerivAt_Gamma_one, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, hasFDerivWithinAt_pi, NumberField.mixedEmbedding.normAtPlace_smul, intervalIntegral.integral_smul_const, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, Polynomial.deriv, InnerProductSpace.laplacianWithin_smul_nhds, ContinuousLinearMap.differentiableOn, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, ContinuousLinearMap.isPositive_iff', ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, LinearIsometryEquiv.comp_hasFDerivAt_iff, Real.hasDerivAt_tan_of_mem_Ioo, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, Submodule.finrank_add_finrank_orthogonal, ContinuousLinearMap.star_eq_adjoint, Submodule.orthogonal_eq_top_iff, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, PiLp.hasFDerivAt_apply, Submodule.lipschitzWith_orthogonalProjection, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, HasFPowerSeriesWithinAt.neg, continuousOn_cfcₙ_setProd, Meromorphic.fun_prod, Real.hasDerivAt_exp, fderiv_sqrt, ModularForm.prod_fintype_slash, volume_euclideanSpace_eq_dirac, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, Asymptotics.isThetaTVS_comm, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, RCLike.wInner_one_const_left, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, ProperCone.hyperplane_separation_of_notMem, OrderedFinpartition.applyOrderedFinpartition_update_left, LinearMap.continuous_of_isClosed_ker, orthogonalFamily_iff_pairwise, ZSpan.map_fundamentalDomain, RCLike.re_ofReal_pow, ContinuousMultilinearMap.norm_compContinuous_linearIsometryEquiv, FormalMultilinearSeries.radius_le_radius_derivSeries, ContinuousAlternatingMap.curryLeftLI_apply, re_inner_self_nonpos, ContinuousLinearMap.norm_single_le_one, ContMDiffWithinAt.const_smul_section, RCLike.norm_sq_re_add_conj, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, LinearMap.IsSymmetric.im_inner_apply_self, Submodule.inf_orthogonal_eq_bot, Complex.starConvex_slitPlane, HasFDerivWithinAt.fun_mul', uniqueDiffOn_convex_of_isRCLikeNormedField, ContinuousLinearMap.norm_compSL_le, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, BoundedContinuousFunction.toContinuousMapₐ_apply, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, RCLike.nnnorm_nnqsmul, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, Submodule.isOrtho_sSup_left, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, ContDiffAt.exists_eventually_eq_hasDerivAt, ContinuousMultilinearMap.analyticWithinAt, Bornology.isVonNBounded_vadd, fderiv_star, innerₛₗ_apply, hasFDerivAtFilter_iff_tendsto, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, NormedSpace.continuousOn_exp, RCLike.im_to_complex, HasFDerivWithinAt.isBigOTVS_sub, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, Valued.integer.isUnit_iff_norm_eq_one, ContinuousLinearEquiv.hasFDerivAt, InnerProductSpace.Core.cauchy_schwarz_aux', hasStrictFDerivAt_list_prod, spectrum.resolvent_tendsto_cobounded, InnerProductSpace.isIdempotentElem_rankOne_self_iff, Filter.EventuallyEq.iteratedFDeriv, ContinuousMultilinearMap.toUniformOnFun_toFun, ContinuousLinearMap.opNorm_nonneg, Pretrivialization.continuousLinearMap_symm_apply, Polynomial.abs_isBoundedUnder_iff, div_le_egauge_ball, hasDerivAtFilter_pi, stereographic_apply, MeasureTheory.inner_condExpL2_eq_inner_fun, StrongDual.toLp_apply, inverse_mfderiv_mul_left, OrthogonalFamily.norm_sum, ContinuousLinearMap.map_smul₂, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum_of_completeSpace, HasFDerivAtFilter.iterate, Submodule.inner_starProjection_left_eq_right, ContinuousLinearMap.normOneClass, MeasureTheory.mem_lpMeas_self, ContinuousLinearMap.opNNNorm_subsingleton, ContMDiffAt.mfderiv, ContinuousLinearMap.IsPositive.spectrumRestricts, OrthonormalBasis.sum_repr, RCLike.re_eq_complex_re, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, Real.iteratedFDeriv_fourierIntegral, 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, NumberField.InfinitePlace.Completion.surjective_extensionEmbeddingOfIsReal, Bornology.isVonNBounded_insert, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, ContinuousLinearEquiv.analyticOnNhd, StieltjesFunction.ae_hasDerivAt, IsConformalMap.injective, InnerProductSpaceable.innerProp, fderivWithin_const_apply, algNormFromConst_def, LinearIsometry.strictConvexSpace_range, ContinuousLinearMap.opNorm_neg, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineIsometry, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, RCLike.norm_to_complex, FormalMultilinearSeries.changeOrigin_eval, LinearMap.toSeminorm_ball_zero, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding_of_isReal, Submodule.fstL_comp_coe_orthogonalDecomposition, inner_smul_left_eq_smul, iter_deriv_inv_linear_sub, MeromorphicOn.pow, Orientation.kahler_apply_apply, RCLike.re_sq_le_normSq, Module.Basis.ofZLatticeBasis_comap, isStarProjection_iff_eq_starProjection_range, ContinuousLinearMap.reApplyInnerSelf_smul, ContinuousLinearMap.add_compLpL, NonUnitalCStarAlgebra.toIsScalarTower, RCLike.conj_inv, LinearIsometryEquiv.symm_units_smul, IsHilbertSum.linearIsometryEquiv_symm_apply_single, AffineIsometryEquiv.map_vadd, closedAbsConvexHull_eq_closure_absConvexHull, exists_embedding_euclidean_of_compact, Complex.norm_fderiv_le_one_of_mapsTo_ball, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, HasFPowerSeriesAt.prod, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', hasStrictDerivAt_natCast, LinearIsometryEquiv.toLinearIsometry_rTensor, Complex.hasDerivAt_Gamma_one_half, VectorPrebundle.contMDiffOn_contMDiffCoordChange, LeftInvariantDerivation.toDerivation_injective, Submodule.starProjection_minimal, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, lineDeriv_smul, PiTensorProduct.mapL_pow, LinearMap.continuous_of_isClosed_graph, DoubleCentralizer.natCast_toProd, OrthonormalBasis.sum_rankOne_eq_id, ContinuousLinearMap.dslope_comp, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, Asymptotics.IsLittleO.finsetProd, ContinuousLinearMap.unit_le_opNorm, HasFPowerSeriesWithinAt.add, Submodule.starProjection_mem_subspace_eq_self, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, exists_extension_norm_eq, HasMFDerivAt.prodMk, ContinuousLinearMap.norm_id, FormalMultilinearSeries.id_apply_of_one_lt, hasFDerivAt_integral_of_dominated_of_fderiv_le'', ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, HasFDerivWithinAt.fun_pow', MeasureTheory.integral_fintype_prod_volume_eq_prod, differentiable_pi'', HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, RCLike.mul_re, TensorProduct.norm_tmul, ContDiff.contDiff_fderiv_apply, LinearMap.isPositive_iff, ContinuousLinearMap.measurable_apply', NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, DoubleCentralizer.one_toProd, MeasureTheory.withDensityᵥ_smul', spectralNorm_extends_of_finiteDimensional, differentiableAt_iff_restrictScalars, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, NormedSpace.expSeries_radius_pos, hasDerivAtFilter_const, LinearIsometryEquiv.symm_smul_apply, SchwartzMap.tsupport_derivCLM_subset, RCLike.normSq_zero, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, RCLike.enorm_conj, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, inner_smul_right_eq_smul, differentiableOn_apply, LinearIsometryEquiv.star_eq_symm, ContinuousLinearEquiv.dimH_preimage, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, SchwartzMap.integral_smul_laplacian_right_eq_left, differentiableAt_pi, HasFDerivWithinAt.fun_add, FormalMultilinearSeries.radius_prod_eq_min, ContinuousLinearMapWOT.add_apply, RCLike.re_le_neg_norm_iff_eq_neg_norm, OrthonormalBasis.coe_equiv_euclideanSpace, RCLike.conjAe_coe, hasFDerivAt_zero, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_div, ContDiffOn.inv, NonUnitalCommCStarAlgebra.toSMulCommClass, HasFDerivAt.mul_const', ContinuousAlternatingMap.nnnorm_ofSubsingleton, norm_cfcHom, RCLike.to_complex_nonneg_iff, HasFiniteFPowerSeriesOnBall.fderiv', Submodule.orthogonalProjectionFn_eq, ContinuousMultilinearMap.currySum_apply, TensorProduct.nnnorm_comm, Submodule.IsOrtho.ge, OpenPartialHomeomorph.MDifferentiable.ker_mfderiv_eq_bot, SeminormedSpace.Core.norm_smul, Polynomial.differentiableWithinAt_aeval, Submodule.bot_orthogonal_eq_top, signedDist_apply, Unitization.norm_splitMul_snd_sq, Matrix.IsHermitian.star_mul_self_mul_eq_diagonal, ContinuousLinearMap.IsPositive.conj_starProjection, ProbabilityTheory.iIndepFun.integral_fun_prod_eq_prod_integral, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', measurable_fderiv, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, le_egauge_ball_one, Orthonormal.comp_linearIsometryEquiv, RCLike.im_ofReal_mul, Submodule.map_orthogonal, HasStrictFDerivAt.comp, DoubleCentralizer.natCast_snd, ContDiffMapSupportedIn.bounded_iteratedFDeriv, inner_self_re_eq_norm, CompactConvergenceCLM.continuousSMul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, ordinaryHypergeometric_radius_top_of_neg_nat₁, hasStrictDerivAt_zero, VectorBundleCore.coordChange_linear_comp, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, ContinuousAlternatingMap.alternatizeUncurryFin_add, ContinuousLinearMap.isBigOTVS_fun_comp, Module.Basis.ofZLatticeComap_repr_apply, RCLike.normSq_eq_zero, Matrix.IsHermitian.eigenvectorUnitary_transpose_apply, FormalMultilinearSeries.coeff_iterate_fslope, LinearMap.IsSymmetric.conj_inner_sym, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, Algebra.norm_smul_one_eq_norm, ContinuousLinearMapWOT.ext_iff, ContinuousAlternatingMap.instT2Space, ContinuousLinearMap.extendTo𝕜'_apply, ClosedSubmodule.orthogonal_disjoint, fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, RCLike.I_re, iteratedFDerivWithin_const_of_ne, ContinuousMultilinearMap.norm_ofSubsingleton, ContinuousLinearMap.isAdjointPair_inner, MeromorphicAt.inv, TensorProduct.norm_map, dist_birkhoffAverage_birkhoffAverage_le, analyticOrderNatAt_pow, ContinuousLinearMap.coe_le_coe_iff, AddChar.linearIndependent, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_apply, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, nndist_homothety_center, Real.hasFDerivAt_fourierChar_neg_bilinear_right, LinearIsometryEquiv.differentiableAt, Real.fourier_continuousMultilinearMap_apply, LinearIsometryEquiv.differentiable, RCLike.im_eq_complex_im, Unitization.splitMul_injective, isInvertible_mfderiv_extChartAt, MeromorphicOn.fun_inv, MDifferentiableAt.smul_const_section, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContDiffMapSupportedIn.continuous_iff_comp, ContinuousMultilinearMap.norm_map_insertNth_le, Asymptotics.IsTheta.const_smul_right, HasFPowerSeriesAt.coeff_zero, Submodule.orthogonal_le_orthogonal_iff, DoubleCentralizer.sub_snd, ModelWithCorners.coe_transContinuousLinearEquiv, SeparatingDual.completeSpace_continuousMultilinearMap_iff, Submodule.orthogonal_le_iff_orthogonal_le, ContMDiffOn.smul_section_of_tsupport, Meromorphic.inv, ContDiffOn.comp_continuousLinearMap, RCLike.ofReal_im_ax, ContMDiffWithinAt.smul_section, Polynomial.differentiable, ContinuousLinearEquiv.coord_norm', HasFPowerSeriesOnBall.hasSum_sub, ContinuousLinearMap.nnnorm_id, absConvexHull_eq_convexHull_balancedHull, Bundle.Trivial.symmₗ_trivialization, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, hasMFDerivAt_snd, ContinuousLinearMap.isPositive_zero, div_le_egauge_closedBall, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, uniqueMDiffWithinAt_iff_uniqueDiffWithinAt, hasDerivAt_mul_const, SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, hasFDerivAtFilter_natCast, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, cfcₙ_apply_mem_elemental, Module.Basis.ofZLatticeBasis_repr_apply, HasMFDerivAt.sum, InnerProductSpace.Core.inner_self_im, intervalIntegral.integral_hasStrictDerivAt_right, iteratedDeriv_fun_pow_zero, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, ContinuousLinearMap.integral_comp_id_comm, hasStrictFDerivAt_exp_smul_const, FormalMultilinearSeries.radius_eq_top_iff_summable_norm, MDifferentiableOn.smul_section, dist_algebraMap, SchwartzMap.fourier_convolution_apply, Seminorm.smul_ball_zero, Complex.hasStrictFDerivAt_log_real, Asymptotics.isBigOTVS_map, iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, LinearIsometry.norm_toContinuousLinearMap_le, Real.hasStrictDerivAt_tan, AffineSubspace.isometryEquivMap.apply_symm_apply, Submodule.starProjection_le_starProjection_iff, iteratedFDerivWithin_zero_fun, RCLike.wInner_cWeight_const_right, HasStrictFDerivAt.mul, RCLike.inv_eq_conj, intervalIntegral.integral_hasStrictDerivAt_left, ContinuousLinearMap.analyticOnNhd, fderiv_fst, iter_deriv_inv_linear, ContinuousAlternatingMap.differentiable, WeakDual.toStrongDual_apply, ContinuousLinearEquiv.uniqueDiffOn_image_iff, ContinuousMap.elemental_id_eq_top, LinearMap.eq_adjoint_iff_basis_right, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, Submodule.instOrthogonalCompleteSpace, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, IsSelfAdjoint.commute_cfcₙ, FormalMultilinearSeries.le_radius_pi, AEMeasurable.re, Real.hasDerivAt_arctan, continuousMultilinearCurryLeftEquiv_symm_apply, WithLp.unitization_mul, hasDerivAt_exp_smul_const', DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, VectorBundleCore.localTriv.isLinear, instOrderIsoClassContinuousLinearMapIdOfNonUnitalAlgEquivClassOfStarHomClassOfContinuousMapClass, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, ContinuousLinearMap.contDiff, ContinuousLinearMap.instBorelSpace, LinearMap.isStarProjection_iff_isSymmetricProjection, LinearIsometryEquiv.toLinearEquiv_rTensor, fderiv_mul_const, innerₛₗ_apply_coe, ContinuousLinearMap.isUniformEmbedding_toUniformOnFun, fderiv_csinh, HasStrictFDerivAt.fun_add, IsLocalMinOn.fderivWithin_nonneg, ContinuousLinearMap.norm_snd_le, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff, Submodule.isOrtho_self, LinearIsometryEquiv.toLinearIsometry_lTensor, fderiv_of_notMem_tsupport, ContinuousLinearMap.smul_compLpL, AddChar.wInner_cWeight_eq_boole, DifferentiableOn.prodMk, hasStrictFDerivAt_const, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, contMDiffOn_coordChangeL, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, ContinuousLinearEquiv.arrowCongrSL_symm_apply, NormedSpace.ext_iff, norm_algebraMap', OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_univ, NumberField.mixedEmbedding.convexBodySum_convex, ProbabilityTheory.iIndepFun.integral_fun_prod_comp, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, ContinuousLinearMap.nnbound, range_cfcHom, ContinuousLinearMap.opNorm_mulLeftRight_le, DoubleCentralizer.intCast_fst, convex_halfSpace_im_le, RCLike.re_ofReal_mul, norm_add_pow_two, PointwiseConvergenceCLM.evalCLM_apply, ClosedSubmodule.orthogonal_closure, ContDiffPointwiseHolderAt.iteratedFDeriv, ContinuousLinearMap.norm_compLpL_le, ZSpan.vadd_mem_fundamentalDomain, LinearMap.toSeminormFamily_apply, AddChar.map_neg_eq_conj, mfderiv_fst, ContDiffMapSupportedIn.structureMapCLM_zero_injective, ContinuousAlternatingMap.neg_one_pow_smul_map_insertNth, EuclideanSpace.inner_single_right, norm_eq_sqrt_re_inner, RCLike.iInter_halfSpaces_eq, mfderivWithin_fst, Matrix.IsHermitian.rank_eq_card_non_zero_eigs, inner_self_nonneg, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, nnnorm_cfcHom, RCLike.normSq_to_complex, Matrix.PosSemidef.sqrt_mul_self, ContDiffAt.continuousAt_iteratedFDeriv, ZSpan.fract_apply, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, Real.deriv_arcsin_aux, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, RCLike.continuous_im, IsLocalMin.fderiv_eq_zero, continuousOn_cfc, ContinuousLinearMap.cpolynomialOn, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id_le, LinearMap.coe_toContinuousLinearMap_symm, HasFDerivWithinAt.finset_prod, ContinuousAlternatingMap.nnnorm_constOfIsEmpty, hasStrictFDerivAt_list_prod', spectrum.mem_resolventSet_of_norm_lt, ContinuousLinearMap.le_opENorm, continuousMultilinearCurryFin1_symm_apply, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, Trivialization.symmL_apply, ContinuousMultilinearMap.opNorm_le_iff, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, ContinuousLinearMap.mdifferentiableOn, RCLike.normSq_add, MeasureTheory.eLpNorm_condExpL2_le, RCLike.div_re, ContinuousLinearMap.lsmul_flip_apply, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, hasDerivAt_iff_tendsto, ProbabilityTheory.iIndepFun.integral_prod_comp, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, HasStrictFDerivAt.smul_const, ContinuousLinearEquiv.coord_self, sub_smul_dslope, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, ContinuousAlternatingMap.unit_le_opNorm, setIntegral_re_add_im, RCLike.geometric_hahn_banach_compact_closed, SchwartzMap.smulLeftCLM_ofReal, norm_iteratedFDeriv_smul_le, ContDiffAt.differentiableAt_iteratedFDeriv, LinearMap.IsPositive.adjoint_eq, Trivialization.prod_apply', fderivWithin_zero_of_not_differentiableWithinAt, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, iteratedDeriv_vcomp_two, ContinuousLinearEquiv.coord_norm, ContinuousAlternatingMap.opNNNorm_le_iff, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, ContinuousOn.continuousOn_iteratedFDeriv, intervalIntegral.integral_hasDerivAt_left, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, Matrix.toEuclideanLin_eq_toLin_orthonormal, MeasureTheory.lpMeasToLpTrim_smul, Real.hasStrictDerivAt_const_rpow, Submodule.starProjection_orthogonal_val, VectorField.lieBracketWithin_eq, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MDifferentiableOn.smul_section_of_tsupport, isStarProjection_iff_eq_starProjection, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, RCLike.geometric_hahn_banach_point_closed, LinearMap.IsSymmetricProjection.le_iff_range_le_range, ContinuousLinearMap.map_add₂, hasDerivWithinAt_intCast, VectorPrebundle.coordChange_apply, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, EuclideanGeometry.orthogonalProjection_apply, IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, LSeries_hasDerivAt, re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, Real.hasDerivAt_fourierIntegral, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, ContinuousAlternatingMap.bound, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, differentiableWithinAt_piLp, LinearIsometry.rTensor_apply, hasStrictFDerivAt_pow, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, Bundle.Prod.contMDiffVectorBundle, ContinuousLinearEquiv.differentiableWithinAt, fderiv_comp_smul, Submodule.instHasOrthogonalProjectionTop, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, ContinuousLinearMap.opNorm_lsmul, LinearIsometry.toLinearMap_lTensor, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, EuclideanGeometry.orthogonalProjection_mem_orthogonal, HasFPowerSeriesWithinOnBall.hasSum, coe_innerₛₗ_apply, FormalMultilinearSeries.norm_changeOriginSeriesTerm, PiLp.hasStrictFDerivAt_ofLp, fderivWithin_arctan, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, Module.Basis.continuous_coe_repr, ContinuousLinearMap.norm_id_of_nontrivial_seminorm, curveIntegral_add, HasGradientAt.hasDerivAt, ContinuousLinearEquiv.symm_conjContinuousAlgEquiv, TensorProduct.nndist_tmul_le, hasDerivAt_exp_zero, HasFTaylorSeriesUpTo.zero_eq', ContinuousLinearEquiv.analyticAt, InnerProductSpace.continuousLinearMapOfBilin_apply, ContinuousMultilinearMap.norm_def, NormedSpace.double_dual_bound, instFieldContMDiffRing, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, CStarAlgebra.toStarModule, PointwiseConvergenceCLM.withSeminorms, norm_sub_pow_two, MeasureTheory.convolution_eq_swap, ContinuousLinearMap.map_zero₂, isInvertible_mfderivWithin_extChartAt_symm, MeromorphicOn.fun_prod, ModelWithCorners.coe_transContinuousLinearEquiv_symm, fderivWithin_def, UniformCauchySeqOnFilter.one_smulRight, mulInvariantVectorField_smul, differentiable_finCons, ContDiff.fderiv_right, hasDerivAt_const_add_iff, HasFDerivAt.prodMap, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum, RCLike.conj_eq_re_sub_im, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', ContinuousAlternatingMap.opNorm_pi, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, FormalMultilinearSeries.id_apply_one, ContinuousLinearEquiv.comp_contDiff_iff, fderiv_csin, InnerProductSpace.Core.re_inner_smul_ofReal_smul_self, ContinuousLinearMap.norm_snd, ZSpan.repr_floor_apply, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv, WeakDual.isSeqCompact_polar, MeasureTheory.condExpIndSMul_ae_eq_smul, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.iteratedFDeriv_comp_right, norm_fderiv_le_of_lip', ContinuousMultilinearMap.apply_zero_uncurry0, ContinuousMap.idealOf_compl_singleton_isMaximal, fderiv_cosh, PiTensorProduct.injectiveSeminorm_tprod_le, support_fderiv_subset, HasStrictFDerivAt.fun_mul, IsLocalFrameOn.generating, ContDiff.continuousLinearMap_comp, ContinuousLinearMap.precomp_apply, ContinuousLinearMap.norm_holderL_le, hasFDerivWithinAt_pow, PolynormableSpace.withSeminorms, contDiff_infty_iff_fderiv, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Asymptotics.isBigOTVS_prodMk_left, MeasureTheory.lpMeas.ae_fin_strongly_measurable', gaugeSeminormFamily_ball, spectralNorm_eq_of_equiv, hasStrictDerivAt_id, curveIntegral_sub, RCLike.sqrt_normSq_eq_norm, mdifferentiable_smul_section, Matrix.IsHermitian.charpoly_eq, HasFDerivWithinAt.mul', RCLike.conj_ofNat, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, HasGradientAt.fderiv_apply, SchwartzMap.instFourierInvSMul, ContinuousAlternatingMap.instContinuousEval, differentiableWithinAt_complex_iff_differentiableWithinAt_real, ContinuousLinearMap.comp_analyticOnNhd, TemperedDistribution.derivCLM_apply_apply, OrthonormalBasis.tensorProduct_apply, LinearIsometryEquiv.integrable_comp_iff, range_derivWithin_subset_closure_span_image, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, integral_re, norm_iteratedFDeriv_zero, mfderiv_subtype_coe_Icc_one, hasDerivWithinAt_Ici_of_tendsto_deriv, Polynomial.hasFDerivWithinAt, MeasureTheory.condExpIndSMul_smul', LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, MDifferentiableWithinAt.smul, HasMFDerivWithinAt.comp, Complex.isometryOfOrthonormal_symm_apply, WithLp.unitizationAlgEquiv_apply, Real.hasStrictDerivAt_rpow_const, ContinuousLinearMap.postcompUniformConvergenceCLM_apply, VectorField.lieBracket_smul_right, HasFDerivAtFilter.restrictScalars, RCLike.normSq_apply, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, CurveIntegrable.sub, HasFiniteFPowerSeriesOnBall.fderiv_eq, smul_closedBall, ContMDiffOn.smul, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, NumberField.InfiniteAdeleRing.ringEquiv_mixedSpace_apply, Valued.integer.norm_coe_unit, Complex.hasDerivAt_log_sub_logTaylor, hasStrictDerivAt_iff_hasStrictFDerivAt, UniformConvergenceCLM.instContinuousSemilinearMapClass, MeasureTheory.hausdorffMeasure_homothety_preimage, ContinuousLinearEquiv.comp_contDiffAt_iff, WithSeminorms.isVonNBounded_iff_seminorm_bounded, ContinuousAlternatingMap.hasFDerivAt, FormalMultilinearSeries.summable, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, MeromorphicNFAt.inv, PiTensorProduct.mapL_add, fderiv_fun_const, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, eventually_norm_trivializationAt_lt, TensorProduct.congrIsometry_apply, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', ConvexOn.exists_affine_le_of_lt, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, ModelWithCorners.uniqueDiffOn_preimage_source, MeasureTheory.integral_prod_smul, ContinuousLinearMap.toPointwiseConvergenceCLM_apply, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, isBoundedLinearMap_continuousMultilinearMap_comp_linear, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, innerSL_apply_coe, differentiableOn_finCons, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, ContinuousLinearMap.bound, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, tendsto_algebraMap_cobounded, ContMDiff.const_smul_section, ContinuousLinearMap.isPositive_one, ContinuousLinearMap.isPositive_sum, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Real.hasDerivAt_Gamma_nat, ordinaryHypergeometricSeries_norm_div_succ_norm, Matrix.IsHermitian.conjStarAlgAut_star_eigenvectorUnitary, HasStrictFDerivAt.inner, ZSpan.fract_eq_fract, HasMFDerivAt.comp, hasDerivAt_pi, ContinuousLinearMap.toUniformConvergenceCLM_symm_apply, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, re_inner_le_norm, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, derivWithin_fun_inv', dist_algebraMap', Meromorphic.fun_pow, hasFDerivAt_inv', LinearMap.toMatrix_adjoint, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, hasDerivWithinAt_finCons, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, CFC.abs_smul, RCLike.conj_smul, FormalMultilinearSeries.rightInv_coeff, Meromorphic.smul, hasDerivAt_zpow, ContinuousLinearMapWOT.instContinuousLinearMapClass, MeasureTheory.AEStronglyMeasurable.convolution_integrand', FormalMultilinearSeries.summable_norm_apply, ContinuousMultilinearMap.norm_constOfIsEmpty, uniqueDiffOn_extChartAt_target, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, mfderiv_neg, VectorBundle.pullback, hasFDerivWithinAt_of_subsingleton, RCLike.mul_re_ax, isClosedMap_smul_left, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, ContinuousLinearMap.integral_comp_comm, hasFDerivWithinAt_iff_tendsto, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, TensorProduct.nnnorm_lid, LinearMap.im_inner_adjoint_mul_self_eq_zero, Matrix.IsHermitian.mulVec_eigenvectorBasis, ContinuousMultilinearMap.le_opNorm_mul_pow_of_le, fderiv_pi, ContinuousLinearMapWOT.sub_apply, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', ContinuousLinearMap.map_neg₂, Matrix.l2_opNorm_def, EuclideanGeometry.Sphere.secondInter_map, OrthogonalFamily.linearIsometry_apply, ContinuousMultilinearMap.le_opNNNorm, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Bornology.isVonNBounded_singleton, Matrix.toEuclideanLin_toLp, nnnorm_cfcₙ_le, ContinuousLinearMapWOT.continuous_dual_apply, integral_re_add_im, continuous_stereoInvFun, ContinuousLinearMap.iteratedFDeriv_comp_left, Submodule.orthogonalProjection_eq_zero_iff, ContinuousLinearMap.holderL_apply_apply, StrongDual.mem_polar_singleton, FormalMultilinearSeries.comp_rightInv_aux2, ZSpan.coe_fract_self, LeftInvariantDerivation.toFun_eq_coe, ContinuousMultilinearMap.opNorm_prod, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, Asymptotics.isLittleOTVS_insert, Real.hasDerivAt_sinh, isClosedEmbedding_smul_left, MeasureTheory.condExpL1CLM_smul, isConformalMap_const_smul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, Complex.norm_fderiv_le_div_of_mapsTo_ball, norm_innerSL_le, MeromorphicAt.smul, AffineSubspace.subtypeₐᵢ_toAffineMap, HasStrictFDerivAt.sub, OrthonormalBasis.measurePreserving_measurableEquiv, ContinuousLinearMap.isLeast_opNorm, fderiv_const_smul_of_field, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, ContinuousLinearMap.IsPositive.isSelfAdjoint, CStarAlgebra.exists_sum_four_unitary, HasLineDerivAt.smul, OrthonormalBasis.sum_repr', continuousMultilinearCurryRightEquiv_apply, Seminorm.convex_closedBall, RCLike.norm_le_im_iff_eq_I_mul_norm, RCLike.real_smul_eq_coe_mul, hasStrictFDerivAt_intCast, Submodule.coe_orthogonalProjection_apply, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, Submodule.starProjection_coe_eq_isCompl_projection, IsLocalDiffeomorphAt.mfderivToContinuousLinearEquiv_coe, HasFDerivAt.neg, RCLike.ofReal_inv, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, RCLike.ofRealAm_coe, RCLike.normSq_one, RCLike.re_to_complex, LinearMap.injective_iff_antilipschitz, ContinuousAlternatingMap.prodLIE_symm_apply, analyticOrderAt_smul_eq_top_of_right, fderiv_comp_deriv_of_eq, ContinuousLinearEquiv.arrowCongrSL_toLinearEquiv_apply, DifferentiableOn.hasDerivAt, ContinuousLinearMapWOT.instContinuousNeg, Bornology.sUnion_isVonNBounded_eq_univ, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, LinearMap.posSemidef_toMatrix_iff, ContDiff.fderiv, Submodule.starProjection_apply_eq_zero_iff, ContMDiffAt.smul_section, fderiv_list_prod', SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, Complex.log_inv_eq_integral, AnalyticOnNhd.eval_continuousLinearMap', RCLike.hasSum_im, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, Module.Basis.norm_repr_le_norm, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, Orthonormal.inner_right_fintype, HasMFDerivAt.mul', ContinuousLinearMap.flipₗᵢ_symm, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, Asymptotics.IsBigOTVS.refl, Asymptotics.isTheta_const_smul_right, HasFDerivAt.star_star, ContinuousLinearMap.postcomp_uniformConvergenceCLM_apply, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, hasDerivAt_of_tendsto_locally_uniformly_on', HasGradientWithinAt.hasFDerivWithinAt, ContinuousLinearMap.dist_le_opNorm, FormalMultilinearSeries.rightInv_coeff_one, hasFDerivAt_exp, ContinuousAlternatingMap.opNNNorm_prod, RCLike.isCauSeq_re, mfderivWithin_id, Pi.orthonormalBasis_repr, RCLike.hasSum_conj', Polynomial.hasDerivWithinAt, Matrix.PosDef.det_pos, ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, uniqueDiffWithinAt_extChartAt_target, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, InnerProductSpace.conj_inner_symm, RCLike.I_im', ApproximatesLinearOn.lipschitzOnWith, Orthonormal.tmul, norm_fderiv_norm_id_rpow, ContinuousLinearMap.isBigOTVS_id, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, ContinuousLinearMap.norm_holder_apply_apply_le, upperHemicontinuous_spectrum, LinearMap.isPositive_one, mfderivWithin_sumSwap, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, AnalyticOnNhd.eval_mvPolynomial, Affine.Simplex.affineSpan_pair_eq_altitude_iff, absorbent_ball_zero, ContinuousAlternatingMap.continuous_toContinuousMultilinearMap, Submodule.norm_subtypeL_le, range_cfc, ContinuousLinearMap.hasStrictDerivAt, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, hasDerivWithinAt_iff_tendsto_slope, fderiv_const_smul, hasFDerivAtFilter_pi', measurable_fderiv_apply_const_with_param, constFormalMultilinearSeries_apply_succ, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, mfderiv_prod_left, Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, ContinuousLinearMap.coe_ofIsClosedGraph, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, DoubleCentralizer.toProdHom_apply, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, Submodule.isOrtho_bot_left, ContinuousMultilinearMap.isUniformInducing_toUniformOnFun, DoubleCentralizer.mul_snd, HasFDerivWithinAt.comp_hasFDerivAt, hasMFDerivWithinAt_inl, ContinuousLinearMap.fpowerSeries_apply_one, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, continuousOn_clm_apply, logDeriv_pow, Real.hasDerivAt_sqrt, ContinuousLinearMapWOT.ContinuousLinearMap.continuous_toWOT, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, HasFDerivAt.fun_mul', Seminorm.continuous_iff_continuous_comp, spectrum.mem_resolventSet_of_spectralRadius_lt, constFormalMultilinearSeries_zero, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, ValueDistribution.logCounting_inv, ContinuousMultilinearMap.instIsTopologicalAddGroup, Asymptotics.IsBigO.isBigOTVS, LinearPMap.adjointAux_inner, HasStrictFDerivAt.mul_const, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, ContDiffBump.convolution_tendsto_right_of_continuous, LinearIsometryEquiv.toContinuousLinearEquiv_smul, ContinuousAlternatingMap.compContinuousLinearMapCLM_apply, ContinuousMultilinearMap.norm_compContinuousLinearMap_le, ContinuousLinearMap.opNNNorm_mul_apply, eventually_norm_mfderiv_extChartAt_lt, ContinuousMultilinearMap.curryFinFinset_apply, EuclideanGeometry.orthogonalProjection_eq_iff_mem, nhdsWithin_isUnit_neBot, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, MeromorphicAt.fun_inv, nndist_self_homothety, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, OrderedFinpartition.applyOrderedFinpartition_update_right, spectrum.subset_circle_of_unitary, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, VectorBundleCore.coordChange_comp, spectrum.subset_closedBall_norm, SchwartzMap.denseRange_toLpCLM, RCLike.I_mul_I_ax, hasFDerivAt_fst, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, Asymptotics.isLittleOTVS_sup, mfderiv_comp_mfderivWithin_of_eq, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, LinearMap.IsSymmetric.coe_re_inner_apply_self, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, HasFTaylorSeriesUpToOn.restrictScalars, isConformalMap_iff_is_complex_or_conj_linear, ContinuousLinearMap.apply_apply, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, Asymptotics.isThetaTVS_iff_isTheta, hasFDerivAt_pi', OrthogonalFamily.summable_iff_norm_sq_summable, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, algebraMap_cobounded_le_cobounded, iteratedFDeriv_neg, Real.fourierIntegral_continuousMultilinearMap_apply', ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, HasGradientAtFilter.hasDerivAtFilter, IsSymmSndFDerivWithinAt.eq, ContinuousLinearMap.map_smulₛₗ₂, CurveIntegrable.add, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, ContinuousMultilinearMap.norm_image_sub_le', hasFPowerSeriesAt_iff', LinearMap.canLiftContinuousLinearMap, LinearIsometryEquiv.differentiableOn, RCLike.geometric_hahn_banach_closed_compact, MeasureTheory.eLpNorm_conj, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, ContinuousLinearMapWOT.tendsto_iff_forall_dual_apply_tendsto, inner_gradient_right, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, hasStrictDerivAt_exp_zero, NonUnitalCStarAlgebra.toSMulCommClass, Submodule.orthogonalProjection_norm_le, HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, Matrix.PosDef.posDef_sqrt, Function.HasTemperateGrowth.isBigO_uniform, differentiableOn_snd, iteratedFDerivWithin_zero_apply, EuclideanSpace.volume_closedBall, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, fderiv_single, RCLike.intCast_im, ContinuousMap.idealOfSet_ofIdeal_eq_closure, finrank_euclideanSpace_fin, Submodule.orthogonalProjection_orthogonal, Set.Finite.isVonNBounded, Real.hasStrictDerivAt_exp, coe_algEquiv_lpBCF, inner_conj_symm, ContinuousLinearEquiv.arrowCongrSL_toLinearEquiv_symm_apply, le_egauge_closedBall_one, hasFDerivAt_list_prod_attach', MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, LinearIsometryEquiv.rTensor_def, MeasureTheory.norm_condExpL2_le_one, ContinuousLinearEquiv.mdifferentiableAt, HasCompactSupport.convolution_integrand_bound_right, MeromorphicAt.meromorphicTrailingCoeffAt_pow, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, fderivWithin_mem_iff, UniqueMDiffOn.uniqueDiffWithinAt_range_inter, AddChar.inv_apply_eq_conj, Asymptotics.isBigOTVS_comm, DifferentiableAt.lineDeriv_eq_fderiv, OrthonormalBasis.repr_reindex, ContinuousLinearEquiv.conjContinuousAlgEquiv_apply_apply, MeasureTheory.condExpL2_comp_continuousLinearMap, inner_im_symm, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, RCLike.re_extendTo𝕜'ₗ, InnerProductSpace.symm_toEuclideanLin_rankOne, FormalMultilinearSeries.ofScalars_norm_eq_mul, isBoundedBilinearMap_smulRight, CFC.log_smul, inCoordinates_tangent_bundle_core_model_space, isOpen_setOf_linearIndependent, LinearIsometryEquiv.differentiableWithinAt, VectorBundle.prod, AnalyticOnNhd.eval_continuousLinearMap, hasStrictFDerivAt_pi, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, MeasureTheory.memLp_re_im_iff, ContinuousLinearMap.adjoint_innerSL_apply, ZLattice.coe_comap, LSeries.hasDerivAt_term, Submodule.IsOrtho.comap, hasFDerivAt_iff_isLittleO_nhds_zero, OrthogonalFamily.inner_right_fintype, Asymptotics.isLittleO_pow_pow_atTop_of_lt, ContDiffMapSupportedIn.structureMapLM_apply, binomialSeries_radius_ge_one, RCLike.normSq_sub, ContinuousLinearMap.coprodEquivL_symm_apply, VectorPrebundle.contMDiffCoordChange_apply, isBoundedLinearMap_prod_multilinear, nndist_homothety_self, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, Orthonormal.inner_sum, differentiableWithinAt_fst, EuclideanGeometry.reflection_apply, continuousOn_coordChange, HasCompactSupport.convolution_integrand_bound_right_of_subset, LinearIsometryEquiv.comp_fderiv', LinearPMap.adjoint_apply_of_dense, HasStrictDerivAt_ofNat, Filter.IsBoundedUnder.isLittleO_sub_self_inv, le_iff_norm_sqrt_mul_rpow, Real.fourier_smul_convolution_eq, RCLike.re_tsum, ContinuousLinearMap.IsPositive.re_inner_nonneg_right, DoubleCentralizer.smul_snd, RCLike.wInner_cWeight_eq_smul_wInner_one, inverse_mfderiv_add_left, postcomp_compactConvergenceCLM_apply, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, ContinuousMap.idealOfSet_isMaximal_iff, ContinuousLinearMap.integral_id_map, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, balancedHull_convexHull_subseteq_absConvexHull, Unitary.path_apply, curveIntegrable_restrictScalars_iff, LinearMap.IsSymmetric.intCast, Valued.integer.exists_norm_coe_lt_one, IsCoercive.isClosed_range, ContinuousLinearMap.toWOT_apply, Unitary.spectrum_subset_circle, TensorProduct.ext_iff_inner_right_threefold, mem_contMDiffFiberwiseLinear_iff, curveIntegralFun_def, Submodule.coe_prodEquivOfClosedCompl, InnerProductSpaceable.inner_.conj_symm, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, ContinuousLinearMap.intervalIntegral_comp_comm, hasDerivAt_finCons, Asymptotics.IsThetaTVS.rfl, inner_eq_ofReal_norm_sq_right_iff, HasFDerivAt.smul, ContinuousLinearMap.contMDiffAt, isOpen_setOf_nat_le_rank, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, isClosed_setOf_isCompactOperator, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, MeasureTheory.integral_convolution, ContinuousLinearMap.le_opNorm_enorm, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, fderiv_norm_sq_apply, Submodule.starProjection_eq_self_iff, IsSelfAdjoint.commute_cfc, RCLike.imCLM_apply, fderiv_sin, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, RCLike.conj_neg_I, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, ContinuousLinearEquiv.comp_right_differentiable_iff, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, ContinuousAlternatingMap.ratio_le_opNorm, ContinuousMultilinearMap.norm_mkPiAlgebraFin, RCLike.inv_I, TensorProduct.assocIsometry_symm_apply, InnerProductSpace.Core.inner_conj_symm, InnerProductSpace.gramSchmidt_mem_span, ModelWithCorners.uniqueDiffOn, norm_iteratedFDeriv_fderiv, NormedSpace.dual_def, LinearMap.IsSymmetric.add, HasFDerivAtFilter.hasDerivAtFilter, TensorProduct.inner_map_map, RCLike.geometric_hahn_banach_open_open, RCLike.lipschitzWith_im, const_smul_mfderiv, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, HasMFDerivAt.const_smul, TensorProduct.toLinearMap_mapInclIsometry, NonUnitalCommCStarAlgebra.toIsScalarTower, mfderivWithin_snd, Function.HasTemperateGrowth.isBigO, Polynomial.eventually_no_roots, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, OrthogonalFamily.inner_right_dfinsupp, spectrum.mem_resolventSet_of_norm_lt_mul, ContinuousLinearMap.isUnit_iff_bijective, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', UniqueDiffWithinAt.of_real, orthonormal_span, norm_cfc_lt, ContinuousLinearMap.innerSL_apply_comp, conformalAt_iff', TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, surjective_stereographic, ContinuousLinearMap.mdifferentiableAt, Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, hasDerivAt_abs_pos, ContinuousAlternatingMap.instContinuousEvalConst, PiTensorProduct.injectiveSeminorm_def, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, hasStrictFDerivAt_id, HilbertBasis.hasSum_repr_symm, ContinuousAlternatingMap.norm_image_sub_le, hasStrictFDerivAt_sub_const, ContinuousLinearMap.coe_deriv₂, IsMIntegralCurveAt.eventually_hasDerivAt, ContinuousLinearEquiv.symm_conjContinuousAlgEquiv_apply_apply, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, hasFDerivAt_stereoInvFunAux_comp_coe, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, LinearMap.adjoint_id, inner_smul_left, contDiff_succ_iff_hasFDerivAt, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, integral_im, mfderiv_prod_eq_add_apply, MeasureTheory.condExpL2_indicator_nonneg, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, NumberField.mixedEmbedding.convexBodyLT'_convex, Submodule.coe_prodEquivOfClosedCompl_symm, selfAdjoint.expUnitary_coe, DoubleCentralizer.add_toProd, Matrix.PosSemidef.sqrt_eq_iff_eq_sq, HasFDerivWithinAt.sum, TemperedDistribution.smulLeftCLM_apply_apply, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, RCLike.im_le_norm, Complex.continuousOn_one_add_mul_inv, hasFDerivAt_pi, mfderivWithin_comp, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, differentiableOn_fst, hasFDerivWithinAt_snd, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, IsBoundedLinearMap.isLinearMap_and_continuous_iff_isBoundedLinearMap, ContMDiff.coordChangeL, differentiableWithinAt_finCons, fderiv_const_apply, Real.hasStrictDerivAt_log_of_pos, FormalMultilinearSeries.ofScalars_norm, ContinuousMultilinearMap.norm_ofSubsingleton_id, Affine.Simplex.altitude_def, HasFDerivWithinAt.fun_mul, hasFTaylorSeriesUpToOn_pi, RCLike.normSq_conj, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, AnalyticAt.hasStrictDerivAt, iter_deriv_pow, Asymptotics.IsThetaTVS.refl, ContinuousLinearMap.continuousAt_uncurry_of_multilinear, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, ContMDiff.smul_section, contDiffWithinAt_succ_iff_hasFDerivWithinAt, Filter.EventuallyEq.hasDerivWithinAt_iff, Asymptotics.IsBigO.hasFDerivAt, hasFDerivWithinAt_apply, SeminormFamily.basisSets_smul_left, InnerProductSpace.norm_rankOne, HasFDerivAt.fun_sub, Complex.hasDerivAt_Gamma_nat, ContMDiffMap.coeFnLinearMap_apply, Submodule.isHilbertSumOrthogonal, RCLike.inv_re, DoubleCentralizer.neg_fst, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, PiTensorProduct.mapLMultilinear_toFun_apply, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, HasFDerivAt.comp, real_inner_I_smul_self, LinearIsometry.lTensor_def, Matrix.PosDef.re_dotProduct_pos, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, Orthonormal.inner_right_sum, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, TensorProduct.edist_tmul_le, quasispectrum.instCompactSpace, fderiv_eq_smul_deriv, unitary.inner_map_map, LinearMap.IsPositive.conj_adjoint, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, LinearMap.ker_toContinuousLinearMap, ZLattice.comap_refl, RCLike.norm_nnqsmul, ContinuousAlternatingMap.le_opNorm_mul_prod_of_le, LinearMap.IsSymmetric.pow, hasFDerivAt_prodMk_right, DoubleCentralizer.toProdMulOppositeHom_apply, ContinuousLinearMap.coeFn_compLp', LinearMap.withSeminorms_induced, ContinuousLinearEquiv.mfderivWithin_eq, MDifferentiableWithinAt.smul_section, ContMDiffOn.smul_section, curveIntegralFun_zero, MeasureTheory.Integrable.im, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', hasFDerivAtFilter_intCast, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, hasFDerivAtFilter_one, le_iff_norm_sqrt_mul_sqrt_inv, Submodule.orthogonalProjectionFn_mem, LinearMap.IsPositive.re_inner_nonneg_left, iteratedFDeriv_const_of_ne, hasDerivWithinAt_sub_const_iff, ContinuousLinearMapWOT.zero_apply, HasFDerivWithinAt.list_prod', QuadraticMap.hasLineDerivAt, RCLike.zero_im, fderiv_inv', ContinuousLinearEquiv.contDiff, ContinuousLinearMapWOT.ext_inner_iff, ContinuousLinearMap.coeFn_ofIsClosedGraph, Trivialization.localFrame_apply_of_mem_baseSet, Continuous.fderiv_one, VectorField.mlieBracket_const_smul_right, RCLike.im_eq_zero, norm_inner_div_norm_mul_norm_eq_one_iff, MeasureTheory.lpMeas.aestronglyMeasurable, IsLocalMinOn.fderivWithin_eq_zero, tendsto_zero_geometric_tsum_pnat, RCLike.geometric_hahn_banach_open_point, FormalMultilinearSeries.comp_assoc, PiTensorProduct.tprodL_coe, ModelWithCorners.extChartAt_transContinuousLinearEquiv_target, HasFPowerSeriesWithinAt.comp, Submodule.mem_iff_norm_starProjection, Real.hasDerivAt_negMulLog, continuousMultilinearCurryFin1_apply, IsCoercive.antilipschitz, PiLp.hasStrictFDerivAt_toLp, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, LineDifferentiableAt.smul, hasFDerivWithinAt_id, Orthonormal.comp_linearIsometry, hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, unitary.linearIsometryEquiv_coe_apply, HilbertBasis.finite_spans_dense, nnnorm_cfcₙ_lt, Trivialization.coordChangeL_prod, mfderiv_id, mfderivWithin_comp_of_eq
toMetricSpace 📖	CompOp	162 math math: integrableOn_cfcₙ', continuous_cfcₙHomSuperset_left, cfcₙL_integral, norm_cfcₙHom, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, IsSelfAdjoint.commute_cfcHom, cfcₙ_norm_nonneg, ContinuousWithinAt.cfcₙ, cfcₙHom_apply_mem_elemental, Filter.Tendsto.cfc, nnnorm_cfc_lt, integrableOn_cfc', unique_topology_of_t2, NumberField.InfinitePlace.isometry_embedding, norm_cfc_lt_iff, CFC.abs_eq_cfcₙ_coe_norm, Complex.lipschitz_equivRealProd, nnnorm_cfcₙ_lt_iff, ContinuousOn.cfcₙ', IsGreatest.nnnorm_cfcₙ, ContinuousAt.cfc, cfc_complex_eq_real, norm_cfc_le_iff, Continuous.cfc', RCLike.nonUnitalContinuousFunctionalCalculus, cfcₙ_integral, cfcₙ_setIntegral, cfcL_integrable, Complex.isometry_conj, WithAbs.isometry_of_comp, ContinuousOn.cfc, WithAbs.uniformSpace_comap_eq_of_comp, UnitAddTorus.mFourierCoeff_toLp, range_cfcₙHom, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, norm_cfcₙ_lt, IsGreatest.norm_cfcₙ, cfcₙ_comp_norm, Continuous.cfcₙ_of_mem_nhdsSet, cfcₙHom_integral, Continuous.cfcₙ, continuousOn_cfc_setProd, IsGreatest.norm_cfc, continuousOn_cfcₙ, RCLike.instContinuousMapUniqueHom, range_cfcₙ, IsGreatest.nnnorm_cfc, Complex.antilipschitz_equivRealProd, Complex.isometry_ofReal, cfcHom_integral, nnnorm_apply_le_nnnorm_cfcₙ, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, cfcₙ_real_eq_complex, IsometricContinuousFunctionalCalculus.toNonUnital, algebraMap_isometry, CFC.exp_eq_normedSpace_exp, integrable_cfcₙ, IsSelfAdjoint.cfc_arg, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, EuclideanSpace.edist_single_same, lipschitzWith_circleMap, norm_cfcₙ_lt_iff, Commute.cfcₙHom, cfcHom_real_eq_restrict, dist_eq, RCLike.toCompleteSpace, Filter.Tendsto.cfcₙ, fourierCoeff_toLp, Convex.lipschitzOnWith_of_nnnorm_hasDerivWithin_le, inr_comp_cfcₙHom_eq_cfcₙAux, nnnorm_cfc_le_iff, continuous_cfcHomSuperset_left, Continuous.cfc_of_mem_nhdsSet, Matrix.l2_opNNNorm_def, cfc_integral, RCLike.lipschitzWith_re, ContinuousOn.cfc_of_mem_nhdsSet, integrableOn_cfcₙ, norm_cfcₙ_le, integrable_cfcₙ', nnnorm_cfc_le, NumberField.InfinitePlace.isometry_embedding_of_isReal, integrable_cfc', nnnorm_apply_le_nnnorm_cfc, Continuous.cfc, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, cfcₙHom_real_eq_restrict, Commute.cfcHom, cfc_apply_mem_elemental, nnnorm_cfcₙHom, ContinuousOn.cfcₙ, IsStarNormal.instContinuousFunctionalCalculus, cfc_comp_norm, Commute.cfc, ContinuousOn.cfcₙ_of_mem_nhdsSet, IsSelfAdjoint.commute_cfcₙHom, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, cfcL_integral, norm_cfc_le, Continuous.cfcₙ', ContinuousOn.cfc', cfcₙ_norm_sq_nonneg, Matrix.toLin_finTwoProd_toContinuousLinearMap, Commute.cfcₙ, ContinuousAt.cfcₙ, nnnorm_cfcₙ_le_iff, WithAbs.pseudoMetricSpace_induced_of_comp, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, nnnorm_cfc_lt_iff, RCLike.lipschitzWith_ofReal, Complex.instContinuousMapUniqueHom, continuousOn_cfcₙ_setProd, lipschitzWith_of_nnnorm_deriv_le, Unitization.complex_cfcₙ_eq_cfc_inr, norm_apply_le_norm_cfc, MeasureTheory.BoundedContinuousFunction.inner_toLp, integrable_cfc, norm_cfcHom, cfc_real_eq_complex, Unitization.antilipschitzWith_addEquiv, cfc_setIntegral', cfcₙ_setIntegral', cfcₙ_apply_mem_elemental, IsSelfAdjoint.commute_cfcₙ, gelfandTransform_isometry, norm_apply_le_norm_cfcₙ, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, range_cfcHom, nnnorm_cfcHom, integrableOn_cfc, continuousOn_cfc, Complex.exists_cthickening_tendstoUniformlyOn, lipschitzWith_lineMap, Unitization.lipschitzWith_addEquiv, cfcₙL_integrable, IsStarNormal.instIsometricContinuousFunctionalCalculus, Unitary.argSelfAdjoint_coe, ContinuousWithinAt.cfc, MeasureTheory.ContinuousMap.inner_toLp, Matrix.l2_opNorm_def, nnnorm_cfcₙ_le, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, antilipschitzWith_lineMap, cfcHom_eq_of_isStarNormal, EuclideanSpace.edist_eq, range_cfc, Convex.lipschitzOnWith_of_nnnorm_deriv_le, norm_cfcₙ_le_iff, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, CFC.complex_exp_eq_normedSpace_exp, cfcₙ_complex_eq_real, IsSelfAdjoint.commute_cfc, cfcHom_apply_mem_elemental, cfc_setIntegral, RCLike.lipschitzWith_im, ContinuousMap.idealOpensGI_choice, norm_cfc_lt, cfc_integral', Convex.lipschitzOnWith_of_nnnorm_derivWithin_le, Complex.isometry_intCast, cfcₙ_integral', nnnorm_cfcₙ_lt
toNorm 📖	CompOp	254 math math: Convex.norm_image_sub_le_of_norm_derivWithin_le, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, LinearMap.coe_toSeminorm, IsUltrametricDist.algNormOfAlgEquiv_extends, cfcₙ_norm_nonneg, norm_zsmul, dist_midpoint_right, spectrum.norm_le_norm_of_mem, Matrix.IsHermitian.det_abs, NumberField.FinitePlace.mk_apply, InnerProductSpace.Core.inner_mul_inner_self_le, NumberField.norm_norm_le_norm_mul_house_pow, Valued.toNormedField.norm_le_one_iff, Matrix.l2_opNorm_mulVec, norm_cfc_lt_iff, RCLike.norm_I_of_ne_zero, MeasureTheory.isTightMeasureSet_iff_inner_tendsto, RCLike.norm_expect_le, CFC.abs_eq_cfcₙ_coe_norm, dist_left_midpoint, EuclideanSpace.norm_sq_eq, NumberField.FinitePlace.norm_def', hasDerivWithinAt_iff_isLittleO, PadicComplex.norm_def, RCLike.abs_im_div_norm_le_one, PiTensorProduct.projectiveSeminormAux_smul, norm_cfc_le_iff, RCLike.mul_conj, RCLike.norm_conj, hasLineDerivAt_iff_isLittleO_nhds_zero, smul_unitClosedBall, entry_norm_bound_of_unitary, NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le, NumberField.InfinitePlace.Completion.norm_coe, PadicAlgCl.isNonarchimedean, Asymptotics.isTheta_inv, RCLike.abs_re_le_norm, norm_mul, hasDerivAt_iff_isLittleO, RCLike.norm_sq_eq_def_ax, MeromorphicOn.extract_zeros_poles_log, RCLike.norm_ofReal, inner_mul_inner_self_le, EuclideanSpace.norm_single, IsUltrametricDist.invariantExtension_extends, RCLike.abs_re_div_norm_le_one, Polynomial.isLittleO_atTop_of_degree_lt, spectrum.norm_le_norm_mul_of_mem, DirichletCharacter.norm_le_one, NumberField.FinitePlace.norm_embedding_eq, set_smul_sphere_zero, smul_closedBall', exists_norm_lt_one, denselyOrdered_range_norm, Seminorm.ball_norm_mul_subset, DirichletCharacter.unit_norm_eq_one, hasGradientAtFilter_iff_isLittleO, hasGradientAt_iff_isLittleO, InnerProductSpace.Core.norm_inner_symm, IsDedekindDomain.HeightOneSpectrum.equivHeightOneSpectrum_symm_apply, RCLike.norm_ofNat, IsGreatest.norm_cfcₙ, norm_inner_eq_norm_iff, HasDerivAtFilter.isBigO_sub_rev, NormedSpace.toNormSMulClass, UpperHalfPlane.zero_form_isBoundedAtImInfty, PadicAlgCl.norm_extends, IsGreatest.norm_cfc, gauge_norm_smul, InnerProductSpace.Core.cauchy_schwarz_aux, RCLike.conj_mul, dist_lineMap_left, smul_sphere', hasGradientAt_iff_isLittleO_nhds_zero, RCLike.re_eq_norm_of_mul_conj, NumberField.InfinitePlace.map_ratCast, dist_right_midpoint, OrthonormalBasis.sum_sq_norm_inner_right, dist_center_homothety, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, AlgHom.norm_apply_le_self, Orthonormal.inner_products_summable, NumberField.FinitePlace.norm_lt_one_iff_mem, RCLike.exists_norm_eq_mul_self, Asymptotics.IsLittleO.of_tendsto_div_atBot, AffineIsometryEquiv.dist_pointReflection_self, dist_right_pointReflection, norm_cfcₙ_lt_iff, FormalMultilinearSeries.ofScalars_norm_le, Polynomial.isBigO_atBot_of_degree_le, smul_sphere, dist_lineMap_right, RCLike.sqrt_eq_real_add_ite, PadicAlgCl.spectralNorm_eq, Polynomial.isBigO_of_degree_le, dist_eq, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, RCLike.norm_le_re_iff_eq_norm, PadicComplex.isNonarchimedean, CFC.abs_algebraMap, RCLike.abs_im_le_norm, dist_homothety_self, Unitization.norm_eq_sup, summable_pow_div_add, hasDerivAtFilter_iff_isLittleO, OrthonormalBasis.det_to_matrix_orthonormalBasis, norm_inner_eq_norm_tfae, dist_self_homothety, Valued.toNormedField.norm_le_iff, InnerProductSpace.Core.norm_inner_le_norm, Asymptotics.superpolynomialDecay_iff_isLittleO, HasDerivAtFilter.isBigO_sub, RCLike.norm_wInner_le, HasGradientAtFilter.isBigO_sub, RCLike.norm_im_le_norm, LinearMap.norm_extendTo𝕜'_apply_sq, OrthonormalBasis.sum_sq_norm_inner_left, RCLike.exists_norm_mul_eq_self, NumberField.FinitePlace.norm_def_int, ContinuousLinearMap.norm_extendTo𝕜'_bound, exists_lt_norm, hasGradientAt_iff_tendsto, WithLp.unitization_norm_def, EuclideanSpace.norm_eq, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, RCLike.isCauSeq_im, dist_homothety_center, Unitization.norm_def, Valued.toNormedField.one_lt_norm_iff, CauSeq.cauchySeq, Asymptotics.superpolynomialDecay_iff_isBigO, Valued.isNonarchimedean_norm, Asymptotics.isTheta_const_mul_right, norm_algebraMap, RCLike.norm_natCast, smul_unitBall, RCLike.normSq_eq_def', isCauSeq_iff_cauchySeq, Asymptotics.isTheta_of_div_tendsto_nhds_ne_zero, spectralNorm_extends, hasDerivAtFilter_iff_tendsto, inner_self_ofReal_norm, RCLike.norm_re_le_norm, spectralAlgNorm_extends, hasDerivAt_iff_isLittleO_nhds_zero, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, dist_pointReflection_right, Asymptotics.isBigO_atTop_natCast_rpow_of_tendsto_div_rpow, InnerProductSpace.Core.inner_mul_symm_re_eq_norm, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, Seminorm.smul_closedBall_subset, Convex.norm_image_sub_le_of_norm_deriv_le, spectrum.norm_eq_one_of_unitary, eigenvalue_mem_ball, PadicAlgCl.valuation_coe, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, IsometricContinuousFunctionalCalculus.norm_spectrum_le, RCLike.norm_two, spectralNorm.spectralNorm_eq_norm_coeff_zero_rpow, RCLike.norm_sq_re_conj_add, NontriviallyNormedField.non_trivial, exists_one_lt_norm, RCLike.inv_def, CFC.quasispectrum_abs, RCLike.norm_nnratCast, CFC.spectrum_abs, dist_left_lineMap, NormedAlgebra.norm_smul_le, RCLike.re_le_norm, OrthonormalBasis.norm_le_card_mul_iSup_norm_inner, NormedSpace.norm_smul_le, Seminorm.smul_closedBall_preimage, RCLike.norm_sq_eq_def, NumberField.FinitePlace.norm_eq_one_iff_notMem, RCLike.mul_self_norm, inner_mul_symm_re_eq_norm, PadicComplex.norm_extends, RCLike.norm_coe_norm, Valued.integer.mem_iff, smul_ball, Seminorm.smul_ball_preimage, RCLike.norm_sq_re_add_conj, Valued.toNormedField.norm_lt_iff, RCLike.norm_to_complex, LinearMap.toSeminorm_ball_zero, ContinuousLinearMap.reApplyInnerSelf_smul, LinearMap.toSeminorm_apply, norm_apply_le_norm_cfc, spectralNorm_extends_of_finiteDimensional, RCLike.re_le_neg_norm_iff_eq_neg_norm, DenselyNormedField.lt_norm_lt, SeminormedSpace.Core.norm_smul, inner_self_re_eq_norm, Algebra.norm_smul_one_eq_norm, dist_midpoint_midpoint_le', Seminorm.smul_ball_zero, RCLike.instNormSMulClassInt, gauge_smul, Polynomial.isLittleO_atBot_of_degree_lt, dist_right_lineMap, norm_apply_le_norm_cfcₙ, norm_algebraMap', LinearMap.toSeminormFamily_apply, hasGradientWithinAt_iff_tendsto, StrongDual.mem_polar_iff, hasDerivAt_iff_tendsto, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, exists_norm_lt, Asymptotics.IsLittleO.of_tendsto_div_atTop, hasGradientWithinAt_iff_isLittleO, IsDedekindDomain.HeightOneSpectrum.embedding_mul_absNorm, RCLike.sqrt_normSq_eq_norm, Module.Basis.norm_extends, dist_midpoint_left, NumberField.FinitePlace.norm_le_one, smul_closedBall, Valued.integer.norm_coe_unit, StrongDual.polar_singleton, ordinaryHypergeometricSeries_norm_div_succ_norm, CFC.abs_smul, spectrum.resolvent_isBigO_inv, Asymptotics.isTheta_const_mul_left, NumberField.InfinitePlace.Completion.Rat.norm_infinitePlace_completion, StrongDual.mem_polar_singleton, CauchySeq.isCauSeq, norm_inner_symm, RCLike.norm_le_im_iff_eq_I_mul_norm, Module.Basis.norm_repr_le_norm, Valued.toNormedField.norm_lt_one_iff, RCLike.isCauSeq_re, HasDerivAtFilter.isTheta_sub, Orthonormal.sum_inner_products_le, Valued.toNormedField.one_le_norm_iff, norm_cfcₙ_le_iff, exists_lt_norm_lt, RCLike.norm_of_nonneg', FormalMultilinearSeries.ofScalars_norm_eq_mul, Asymptotics.isLittleO_pow_pow_atTop_of_lt, Filter.IsBoundedUnder.isLittleO_sub_self_inv, hasDerivWithinAt_iff_tendsto, Valued.integer.exists_norm_coe_lt_one, NumberField.FinitePlace.norm_def, RCLike.im_le_norm, norm_inner_le_norm, FormalMultilinearSeries.ofScalars_norm, RCLike.norm_of_nonneg, Orthonormal.tsum_inner_products_le, RCLike.norm_nnqsmul, Polynomial.isBigO_atTop_of_degree_le, norm_inner_div_norm_mul_norm_eq_one_iff, AlgHom.norm_apply_le_self_mul_norm_one, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm
toNormedCommRing 📖	CompOp	4368 math math: ArithmeticFunction.vonMangoldt.residueClass_eq, withSeminorms_iff_mem_nhds_isVonNBounded, SchwartzMap.norm_toLp_le_seminorm, Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.det_toContinuousLinearMap, ValueDistribution.logCounting_zero, instSeparatingDual, hasFDerivAt_iff_hasDerivAt, ContMDiffAt.coordChangeL, HurwitzZeta.hasSum_int_hurwitzZetaOdd, TensorProduct.mapInclIsometry_apply, LinearMap.IsSymmetric.clm_adjoint_eq, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, Real.hasDerivAt_arccos, InnerProductSpace.Core.inner_smul_right, AbsoluteValue.IsEquiv.isEmbedding_equivWithAbs, WeakFEPair.differentiableAt_Λ, TemperedDistribution.lineDerivOpCLM_eq, continuousSMul_sphere_ball, closure_diff_intrinsicFrontier, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Submodule.starProjection_apply_eq_isComplProjection, WithLp.prod_inner_apply, MeasureTheory.Lp.toTemperedDistributionCLM_apply, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Polynomial.differentiableWithinAt, RCLike.sqrt_eq_ite, MeasureTheory.convolution_flip, FormalMultilinearSeries.comp_rightInv_aux1, tendsto_zero_iff_meromorphicOrderAt_pos, MDifferentiable.coordChangeL, UpperHalfPlane.mdifferentiable_num, Complex.cos_eq_tsum, Unitization.isometry_inr, ContinuousAt.inner, isConformalMap_conj, LinearMap.mkContinuous₂_norm_le', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, HasStrictFDerivAt.isLittleOTVS, NormedSpace.isBounded_polar_of_mem_nhds_zero, SchwartzMap.lineDerivOpCLM_eq, MeasureTheory.lpNorm_conj, HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div, Valued.instIsUltrametricDist, TensorProduct.enorm_lid, InnerProductSpace.Core.inner_add_left, differentiableAt_comp_neg, continuousAt_const_cpow, hasDerivWithinAt_Iio_iff_Iic, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, LinearMap.mkContinuous₂_apply, Matrix.frobenius_nnnorm_mul, RCLike.pos_iff_exists_ofReal, TensorProduct.inner_tmul, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, RCLike.one_re, Complex.differentiableAt_sin, Complex.tendsto_log_nhdsWithin_im_neg_of_re_neg_of_im_zero, Bundle.ContMDiffRiemannianMetric.contMDiff, Complex.norm_circleTransformBoundingFunction_le, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, MeasureTheory.condExpL1_smul, Seminorm.absorbent_closedBall_zero, AffineIsometry.image_intrinsicClosure, Submodule.IsCompl.projection_isSymmetricProjection_iff, Orthonormal.inner_left_finsupp, LeftInvariantDerivation.lift_zero, Complex.isOpen_re_lt_EReal, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, logDeriv_const, RCLike.map_apply, IsUltrametricDist.isNonarchimedean_invariantExtension, differentiable_const_cpow_of_neZero, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, OrthonormalBasis.orthogonalProjection_eq_sum, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, Complex.restrictScalars_one_smulRight', HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, completedZeta_eq_tsum_of_one_lt_re, Complex.continuousOn_exp, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, RCLike.geometric_hahn_banach_point_open, hasDerivWithinAt_add_const_iff, IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, FormalMultilinearSeries.comp_partialSum, CuspFormClass.holo, Affine.Simplex.orthogonalProjectionSpan_map, NumberField.mixedEmbedding.lintegral_comp_polarCoord_symm, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, InnerProductSpace.toLinearIsometry_toDual, IsUltrametricDist.algNormOfAlgEquiv_extends, RCLike.ofRealCLM_apply, SchwartzMap.integral_sesq_fourier_fourier, HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, ModularFormClass.differentiableAt_comp_ofComplex, WithSeminorms.image_isVonNBounded_iff_seminorm_bounded, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, hasStrictDerivAt_intCast, cfcₙ_norm_nonneg, Complex.linearEquiv_det_conjLIE, LeftInvariantDerivation.leibniz, MeasureTheory.convolution_eq_right', hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, norm_zsmul, RCLike.reCLM_apply, smooth_barycentric_coord, cfcₙHom_apply_mem_elemental, IsHilbertSum.surjective_isometry, HurwitzZeta.differentiableAt_hurwitzZetaEven, curveIntegral_smul, dist_midpoint_right, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, inner_vsub_right_eq_zero_symm, RCLike.separate_convex_open_set, NumberField.canonicalEmbedding.mem_span_latticeBasis, Submodule.orthogonalDecomposition_symm_apply, OrthogonalFamily.linearIsometry_apply_single, InnerProductSpace.rankOne_one_left_eq_innerSL, ContDiff.fderiv_succ, PeriodPair.hasSumLocallyUniformly_weierstrassP, NumberField.mixedEmbedding.norm_eq_sup'_normAtPlace, Subalgebra.spectrum_sUnion_connectedComponentIn, Function.FactorizedRational.divisor, AffineIsometryEquiv.coe_symm_toAffineEquiv, NonUnitalCStarAlgebra.toStarModule, hasDerivAt_sqrt_mul_log, LinearMap.IsSymmetric.restrictScalars, ContinuousAffineMap.fderiv, LSeries.term_sum, ContinuousLinearMap.continuous_det, HurwitzZeta.hasSum_int_cosKernel₀, HasFiniteFPowerSeriesAt.neg, Complex.isOpenMap_im, Polynomial.isEquivalent_atBot_div, SchwartzMap.norm_le_seminorm, HurwitzZeta.hasSum_int_hurwitzZetaEven, Complex.ofRealCLM_coe, Complex.kahler, Complex.norm_polarCoord_symm, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.isEmbedding_restrictScalars, WeakDual.isCompact_polar, finrank_real_complex_fact', PeriodPair.deriv_weierstrassP, EuclideanSpace.orthonormal_single, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, Real.hasDerivAt_sigmoid, meromorphicOrderAt_const_ofNat, PeriodPair.coeff_weierstrassPExceptSeries, Asymptotics.IsTheta.const_mul_left, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, ContinuousAffineMap.differentiableWithinAt, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, ContinuousLinearEquiv.toCompactConvergenceCLM_symm_apply, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, Matrix.posSemidef_iff_eq_conjTranspose_mul_self, RCLike.ofRealLI_apply, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, Complex.comap_exp_cobounded, LinearMap.IsPositive.ne_zero_iff, ModularForm.mul_slash, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, differentiableAt_zpow, PadicInt.isCauSeq_nthHom, Circle.exp_arg, Submodule.toLinearEquiv_orthogonalDecomposition_symm, spectrum.subset_closedBall_norm_mul, Circle.injective_arg, OrthonormalBasis.repr_injective, continuousSMul_sphere_sphere, spectrum.instCompactSpace, ContinuousLinearMap.continuousSMul, RCLike.re_add_im, hasFTaylorSeriesUpToOn_top_iff_right, DirichletCharacter.LSeries_eulerProduct_tprod, smoothSheafCommRing.nonunits_stalk, LSeries.term_convolution', MeasureTheory.convolution_mul, Complex.ofRealLI_apply, CuspFormClass.zero_at_infty_comp_ofComplex, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, PeriodPair.derivWeierstrassPExcept_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, Bornology.isVonNBounded_add_of_nonempty, NumberField.canonicalEmbedding.latticeBasis_apply, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, MeasureTheory.lpNorm_fun_div_natCast, MeasureTheory.norm_condExpL2_le, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, InnerProductSpace.isIdempotentElem_rankOne_self, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, Padic.withValUniformEquiv_norm_le_one_iff, ApproximatesLinearOn.lipschitz, tendsto_cobounded_iff_meromorphicOrderAt_neg, Real.hasStrictDerivAt_rpow_const_of_ne, lp.inner_eq_tsum, Rat.padicValuation_cast, UpperHalfPlane.image_coe_sphere, Complex.isCoveringMap_exp, StrongDual.polarSubmodule_eq_setOf, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, ContinuousLinearMap.isUniformEmbedding_restrictScalars, PeriodPair.ω₁_div_two_notMem_lattice, RCLike.star_def, OrthonormalBasis.sum_inner_mul_inner, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, range_circleMap, Asymptotics.isLittleOTVS_one, Complex.continuousWithinAt_arg_of_re_neg_of_im_zero, ContinuousLinearMap.hasDerivAtFilter, Polynomial.div_tendsto_atTop_leadingCoeff_div_of_degree_eq, DoubleCentralizer.intCast_snd, span_fourier_closure_eq_top, Complex.GammaSeq_tendsto_Gamma, PeriodPair.basis_one, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, ContinuousLinearMapWOT.withSeminorms, Submodule.re_inner_starProjection_eq_normSq, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, inner_self_eq_one_of_norm_eq_one, Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, MeasureTheory.inner_condExpL2_left_eq_right, SchwartzMap.seminorm_le_bound, AffineIsometryEquiv.linear_eq_linear_isometry, Bornology.isVonNBounded_add_self, WeakDual.isClosed_image_polar_of_mem_nhds, PadicComplex.valuation_extends, one_add_cpow_hasFPowerSeriesAt_zero, RCLike.algebraMap_eq_ofReal, circleIntegrable_iff, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', MeasureTheory.MemLp.const_inner, DirichletCharacter.continuousOn_neg_logDeriv_LFunction_of_nontriv, Complex.tsum_exp_neg_mul_int_sq, not_integrableOn_Ioi_cpow, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, MeasureTheory.integral_fintype_prod_volume_eq_pow, Real.fderiv_fourierChar_neg_bilinear_right_apply, WithSeminorms.mem_nhds_iff, LinearMap.IsSymmetric.diagonalization_apply_self_apply, BoundedContinuousFunction.char_neg, EuclideanGeometry.orthogonalProjection_congr, UpperHalfPlane.isOpenEmbedding_coe, ContinuousAlternatingMap.instIsUniformAddGroup, ContDiffAt.fderiv_right_succ, Matrix.le_iff, Submodule.starProjection_orthogonal', hasFPowerSeriesOnBall_pi_iff, Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eq, Submodule.toLinearEquiv_orthogonalDecomposition, Continuous.convolution_integrand_fst, PadicComplex.coe_eq, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContDiffMapSupportedIn.structureMapCLM_apply, RCLike.sub_conj, iteratedFDerivWithin_succ_eq_comp_right, Complex.uniformlyContinuous_im, NumberField.mem_maximalRealSubfield_iff, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, BoundedContinuousFunction.char_zero_eq_one, SchwartzMap.lineDerivOp_fourier_eq, RCLike.pos_iff, AddChar.wInner_cWeight_self, deriv_comp_const_sub, LeftInvariantDerivation.coe_derivation, innerSL_apply_apply, RCLike.norm_expect_le, HasGradientAt.continuousOn, HasFPowerSeriesWithinOnBall.restrictScalars, NormedSpace.isVonNBounded_iff, CFC.abs_eq_cfcₙ_coe_norm, Orthonormal.codRestrict, SeminormFamily.filter_eq_iInf, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, inner_sum, EuclideanSpace.inner_single_left, HasFTaylorSeriesUpTo.hasFDerivAt, EuclideanSpace.basisFun_toBasis, Function.Periodic.cuspFunction_zero_eq_limUnder_nhds_ne, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, UpperHalfPlane.comp_ofComplex_of_im_pos, Submodule.orthogonalProjectionFn_inner_eq_zero, hasDerivAt_neg', ContMDiffWithinAt.mfderivWithin_const, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, HasFDerivAtFilter.sub, Unitization.splitMul_apply, inner_eq_norm_mul_iff, ContinuousLinearMap.toBilinForm_apply, Seminorm.restrictScalars_closedBall, RCLike.map_same_eq_id, DoubleCentralizer.nnnorm_def', NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isComplex, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, dist_left_midpoint, Seminorm.bddAbove_range_iff, Complex.continuousOn_arg, dist_iteratedFDerivWithin_one, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, NormedSpace.image_isVonNBounded_iff, eqOn_dslope_sub_smul, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, UpperHalfPlane.dist_le_iff_dist_coe_center_le, ContinuousLinearMap.IsPositive.inner_nonneg_right, LeftInvariantDerivation.left_invariant', hasDerivAt_bernoulliFun, hasSum_one_div_nat_pow_mul_fourier, derivWithin_fderivWithin, two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even, RCLike.wInner_sub_right, MultilinearMap.mkContinuousMultilinear_apply, PadicSeq.ne_zero_iff_nequiv_zero, SchwartzMap.instContinuousSMul, NumberField.mixedEmbedding.norm_le_convexBodySumFun, Complex.UnitDisc.instSMulCommClass_closedBall_circle, TemperedDistribution.lineDerivOp_fourier_eq, Complex.frontier_setOf_re_le, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, Seminorm.smul_inf, FormalMultilinearSeries.derivSeries_coeff_one, Polynomial.isCoveringMapOn_eval, Complex.ofRealCLM_norm, Complex.UnitDisc.instSMulCommClass_closedBall_left, Matrix.spectrum_toLpLin, mdifferentiableOn_symm_coordChangeL, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, rotation_injective, Bornology.IsBounded.reProdIm, Circle.ofConjDivSelf_coe, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, NumberField.mixedEmbedding.mem_idealLattice, MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNE, InnerProductSpace.Core.inner_smul_left, SchwartzMap.bilinLeftCLM_apply, Complex.borelSpace, ContinuousMap.setOfIdeal_ofSet_eq_interior, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, OrthogonalFamily.of_pairwise, MeasureTheory.integral_fintype_prod_eq_prod, ContinuousLinearMap.nhds_zero_eq_of_basis, HasGradientAt.hasDerivAt', derivWithin_comp_const_sub, IsHilbertSum.linearIsometryEquiv_symm_apply, iteratedDeriv_pow, AffineMap.hasDerivWithinAt, RCLike.conj_nat_cast, MeromorphicOn.divisor_const, LeftInvariantDerivation.left_invariant, MeromorphicNFAt.meromorphicOrderAt_nonneg_iff_analyticAt, EuclideanSpace.basisFun_apply, instSMulCommClass_sphere_sphere_sphere, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, Complex.convexHull_reProdIm, NormedSpace.toIsBoundedSMul, Complex.conjLIE_apply, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Submodule.isOrtho_iff_inner_eq, Complex.hasStrictDerivAt_tan, Circle.starRingEnd_addChar, EuclideanGeometry.orthogonalProjection_contLinear, curveIntegralFun_smul, ClosedSubmodule.mem_orthogonal', Complex.closure_preimage_im, egauge_ball_le_of_one_lt_norm, ContinuousAffineMap.differentiable, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, hasStrictFDerivAt_iff_isLittleOTVS, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, ContinuousLinearEquiv.toCompactConvergenceCLM_apply, RCLike.re_add_im_ax, ContinuousAlternatingMap.piLIE_apply_apply, PreInnerProductSpace.Core.smul_left, Differentiable.fderiv_norm_rpow, NumberField.InfiniteAdeleRing.algebraMap_apply, RCLike.normSq_neg, UnitAddTorus.mFourierSubalgebra_coe, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, curveIntegrable_fun_neg_iff, hasDerivWithinAt_zero, Complex.continuousWithinAt_log_of_re_neg_of_im_zero, RCLike.toStarOrderedRing, MeasureTheory.integral_const_mul, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, Complex.continuous_sin, FormalMultilinearSeries.hasSum_of_finite, hasDerivAtFilter_ofNat, RCLike.is_real_TFAE, Complex.exp_eq_exp_ℂ, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', HasFPowerSeriesOnBall.restrictScalars, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, ContinuousLinearMap.isometry_mul_flip, PeriodPair.weierstrassP_coe, OrthonormalBasis.toBasis_singleton, ContDiffOn.inner, PadicComplex.norm_def, EuclideanGeometry.reflection_map, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, AffineEquiv.continuous_of_finiteDimensional, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, InnerProductSpace.smul_left, ClosedSubmodule.inf_orthogonal, HasFDerivAtFilter.const_sub, LinearMap.coe_toContinuousLinearMap', balanced_ball_zero, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, Complex.isQuotientCoveringMap_npow, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, sum_cauchyPowerSeries_eq_integral, NumberField.mixedEmbedding.instIsAddHaarMeasureMixedSpaceVolume, SchwartzMap.laplacianCLM_eq, monomial_has_deriv_aux, continuous_equivFun_basis, DirichletCharacter.LSeries_twist_vonMangoldt_eq, LinearIsometryEquiv.conjStarAlgEquiv_apply, LinearMap.toMatrixOrthonormal_reindex, PiTensorProduct.projectiveSeminormAux_smul, MeasureTheory.integral_div, MeasureTheory.ConvolutionExistsAt.integrable, nndist_midpoint_right, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, Asymptotics.isLittleOTVS_prodMk_left, Filter.tendsto_ofReal_iff', RCLike.mul_conj, iter_deriv_zpow', PadicInt.coe_sum, Complex.deriv_cos, WithSeminorms.continuousSMul, hasLineDerivAt_iff_isLittleO_nhds_zero, Complex.not_differentiableAt_Gamma_neg_nat, RCLike.borelSpace, Real.hasStrictDerivAt_sinh, AddCircle.homeomorphCircle'_symm_apply, TestFunction.continuous_iff_continuous_comp, isSelfAdjoint_iff_isStarNormal_and_spectrumRestricts, HasFiniteFPowerSeriesOnBall.sum, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, ConvexOn.univ_sSup_of_countable_affine_eq, IsUltrametricDist.of_normedAlgebra', RCLike.hasSum_ofReal, InnerProductSpace.inner_left_rankOne_apply, TestFunction.toBoundedContinuousFunctionCLM_apply, RCLike.continuous_normSq, MeasureTheory.Lp.instFourierInvSMul, IsLocalFrameOn.coeff_apply_of_mem, hasStrictDerivAt_abs_pos, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, HasSum.hasSum_at_zero, HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, ContinuousAlternatingMap.curryLeft_smul, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, continuous_const_cpow, ContinuousLinearMap.hasBasis_nhds_zero, polynomialFunctions.starClosure_topologicalClosure, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, hasFDerivWithinAt_inv, hasSum_nat_jacobiTheta, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, OrthonormalBasis.repr_self, NumberField.InfinitePlace.Completion.norm_coe, RCLike.ofReal_balance, hasDerivWithinAt_pi, PadicComplex.coe_natCast, differentiableOn_iteratedDerivWithin_cotTerm, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, NormedSpace.isVonNBounded_ball, PadicAlgCl.isNonarchimedean, MeromorphicAt.eq_nhdsNE_toMeromorphicNFAt, ContinuousLinearMap.eq_adjoint_iff, PeriodPair.hasSum_derivWeierstrassPExcept, MeasureTheory.L2.inner_def, ContDiffAt.fderiv_succ, rotation_apply, toMatrix_rotation, ContinuousLinearMap.topologicalAddGroup, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, RCLike.nonpos_iff, RCLike.smul_re, RCLike.nonpos_iff_exists_ofReal, SchwartzMap.toLpCLM_apply, Polynomial.div_tendsto_zero_iff_degree_lt, RCLike.wInner_of_isEmpty, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, Complex.differentiableAt_GammaAux, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, EuclideanSpace.nndist_eq, FormalMultilinearSeries.sum_of_finite, ModularForm.prod_slash_sum_weights, HasFTaylorSeriesUpToOn.zero_eq', intervalIntegral.integral_div, HarmonicAt.analyticAt_complex_partial, Complex.instPathConnectedSpaceUnits, NormedSpace.Dual.toWeakDual_continuous, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, WithSeminorms.withSeminorms_eq, ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator, exists_lt_nnnorm_lt, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, Real.nnnorm_exp_I_mul_ofReal_sub_one_le, ContinuousMultilinearMap.norm_smulRightL_le, exists_nnnorm_lt_one, ContinuousLinearMap.precompL_apply, DoubleCentralizer.nnnorm_snd, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, spectralAlgNorm_def, Complex.continuousOn_cos, OrthonormalBasis.measurePreserving_repr, RCLike.ofReal_comp_balance, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, ZMod.completedLFunction_def_even, SchwartzMap.integral_fourierInv_smul_eq, RCLike.reCLM_norm, RCLike.geometric_hahn_banach_closed_point, MeasureTheory.AEStronglyMeasurable.inner_const, IsUltrametricDist.invariantExtension_apply, Real.hasDerivAt_arcosh, curveIntegral_neg, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, Complex.isOpen_slitPlane, HasGradientAt.continuousAt, HasFDerivAt.sub, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, DirichletCharacter.deriv_LFunction_eq_deriv_LSeries, MeasureTheory.SignedMeasure.toComplexMeasure_apply, ContinuousLinearMap.isPositive_self_comp_adjoint, dslope_eventuallyEq_slope_nhdsNE, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, RCLike.ofReal_sub, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, fderivWithin_const_sub, hasDerivAt_iff_isLittleO, spectrum.isOpen_resolventSet, Affine.Simplex.orthogonalProjectionSpan_eq_point, Polynomial.toAddCircle_X_pow_eq_fourier, HasDerivWithinAt.hasFDerivWithinAt, Polynomial.abs_div_tendsto_atTop_of_degree_gt, hasFPowerSeriesAt_const, HasFDerivAtFilter.neg, fderiv_eq_deriv_mul, Submodule.starProjection_inner_eq_zero, nndist_right_lineMap, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, HasFPowerSeriesWithinOnBall.fderivWithin, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, FormalMultilinearSeries.radius_compNeg, Padic.exi_rat_seq_conv_cauchy, SeminormFamily.comp_apply, Polynomial.differentiableOn_aeval, SchwartzMap.integral_bilin_fourierIntegral_eq, NumberField.mixedEmbedding.polarSpaceCoord_target, OnePoint.isZeroAt_iff_exists_SL2Z, LinearIsometryEquiv.adjoint_eq_symm, NumberField.mixedEmbedding.negAt_apply_snd, extDeriv_fun_smul, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeromorphicAt.inv_iff, MeasureTheory.setIntegral_prod_mul, Matrix.toEuclideanLin_apply, iteratedDerivWithin_eq_iteratedFDerivWithin, LinearMap.IsPositive.isPositive_smul_iff, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, RCLike.intCast_re, MeasureTheory.charFunDual_eq_charFun_map_one, HasFPowerSeriesOnBall.tendsto_partialSum_prod, EuclideanGeometry.orthogonalProjection_map, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, discreteTopology_or_nontriviallyNormedField, WithSeminorms.tendsto_nhds', RCLike.im_eq_zero_iff_isSelfAdjoint, Complex.tendsto_exp_nhds_zero_iff, fourier_norm, IsHilbertSum.hasSum_linearIsometryEquiv_symm, ContinuousLinearMap.opNorm_mul, Complex.uniformContinuous_im, MeasureTheory.integral_fintype_prod_eq_pow, Complex.frontier_preimage_re, CuspForm.coe_trace, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, ContinuousLinearMapWOT.le_nhds_iff_forall_dual_apply_le_nhds, image_circleMap_Ioc, TemperedDistribution.smulLeftCLM_neg, analyticOrderAt_eq_top, InnerProductSpace.Core.inner_smul_ofReal_right, Rat.padicValuation_self, Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg, Real.hasStrictDerivAt_arccos, RCLike.conjCLE_apply, Complex.reCLM_nnnorm, Unitization.nnnorm_def, Unitization.dist_inr, UpperHalfPlane.coe_pos_real_smul, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, nndist_left_lineMap, IsUltrametricDist.invariantExtension_extends, Complex.instContinuousStar, fderivWithin_fun_neg, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, NumberField.mixedEmbedding.negAt_preimage, HasLineDerivAt.tendsto_slope_zero_right, isScalarTower_sphere_closedBall_closedBall, Complex.hasDerivAt_GammaIntegral, compactOperator_topologicalClosure, MeromorphicOn.divisor_natCast, RCLike.wInner_cWeight_eq_expect, Complex.deriv_ofReal_cpow_const, Submodule.coe_orthogonalDecomposition_symm, UpperHalfPlane.comp_ofComplex, Complex.starConvex_ofReal_slitPlane, PiTensorProduct.mapL_smul, Complex.analyticOnNhd_univ_iff_differentiable, SchwartzMap.integral_sesq_fourier_eq, MeasureTheory.aestronglyMeasurable_condExpL2, RCLike.I_mul_I, NumberField.mixedEmbedding.fundamentalCone.volume_frontier_normLeOne, ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, HurwitzZeta.hasSum_nat_sinZeta, fderiv_neg, ValueDistribution.logCounting_top, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, EuclideanGeometry.angle_orthogonalProjection_self, Polynomial.isEquivalent_atTop_lead, meromorphicOrderAt_ne_top_iff, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, ContinuousAlternatingMap.instContinuousSMul, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.charFun_apply_real, HasFDerivAt.restrictScalars, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, RCLike.instCStarRing, Complex.UnitDisc.coe_smul_circle, PiTensorProduct.projectiveSeminorm_apply, Complex.summable_conj, ContinuousAffineMap.norm_def, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, HasGradientWithinAt.continuousWithinAt, AffineSubspace.coe_subtypeₐᵢ, HasFDerivAtFilter.isThetaTVS_sub, Complex.continuousAt_arg, InnerProductSpace.Core.inner_neg_left, PeriodPair.latticeBasis_zero, ZMod.LFunction_def_odd, summable_mul_of_bigO_atTop, SchwartzMap.fourier_lineDerivOp_eq, Complex.starConvex_one_slitPlane, LinearMap.isBigOTVS_rev_comp, AddChar.wInner_cWeight_eq_zero_iff_ne, exists_one_lt_enorm, ContinuousLinearMapWOT.inducingFn_apply, TemperedDistribution.instLineDerivLeftSMulReal, entrywise_sup_norm_bound_of_unitary, meromorphicOrderAt_eq_top_iff, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, hasStrictDerivAt_exp_smul_const, RCLike.ofReal_nonneg, ContinuousMap.setOfIdeal_ofSet_of_isOpen, isBoundedBilinearMap_comp, Complex.interior_setOf_le_re, EuclideanGeometry.dist_orthogonalProjection_eq_iff_angle_eq, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, Filter.tendsto_ofReal_iff, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, hasStrictDerivAt_add_const_iff, Finsupp.sum_inner, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, TemperedDistribution.fourierInv_lineDerivOp_eq, MeasureTheory.condExpL2_indicator_ae_eq_smul, fderiv_fun_sub, UpperHalfPlane.mdifferentiable_inv_denom, LeftInvariantDerivation.lift_smul, RCLike.complexRingEquiv_apply, FormalMultilinearSeries.rightInv_removeZero, WithAbs.uniformSpace_comap_eq_of_comp, Rat.IsIntegralClosure.intEquiv_apply_eq_ringOfIntegersEquiv, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', Complex.hasStrictFDerivAt_cpow', NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, LinearIsometry.toAffineIsometry_toAffineMap, NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closure, Real.fourier_iteratedFDeriv, InnerProductSpace.toDualMap_apply_apply, Orientation.kahler_eq_zero_iff, AddChar.sum_apply_eq_ite, EulerProduct.eulerProduct_completely_multiplicative, contDiff_succ_iff_fderiv, ContinuousLinearMap.opNNNorm_prod, UpperHalfPlane.dist_eq_iff_eq_sinh, hasDerivAtFilter_zero, HasMFDerivAt.neg, Complex.integral_comp_polarCoord_symm, Complex.uniformContinuous_re, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, PeriodPair.ω₂_div_two_notMem_lattice, UnitAddTorus.mFourierCoeff_toLp, WeakDual.toStrongDual_inj, ContinuousLinearMap.uniformContinuous_restrictScalars, HurwitzZeta.differentiable_expZeta_of_ne_zero, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, isModuleTopologyOfFiniteDimensional, LinearMap.extendTo𝕜'_apply, PeriodPair.hasSum_derivWeierstrassP, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, ContinuousLinearMap.holderₗ_apply_apply, PeriodPair.compl_lattice_diff_singleton_mem_nhds, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, dslope_sub_smul, hasDerivAt_id', integrableOn_Ioi_cpow_iff, ContinuousMultilinearMap.curryRight_norm, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, HurwitzZeta.differentiable_hurwitzZetaOdd, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, AffineIsometryEquiv.pointReflection_toAffineEquiv, MeasureTheory.MemLp.inner_const, LSeries_deriv_eqOn, Padic.zero_def, FDerivMeasurableAux.norm_sub_le_of_mem_A, ContinuousLinearMap.deriv, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, MeasureTheory.convolution_lsmul, HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZeta, PeriodPair.hasSumLocallyUniformly_derivWeierstrassP, Complex.sameRay_of_arg_eq, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, SeminormFamily.finset_sup_comp, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, UpperHalfPlane.ofComplex_apply_of_im_nonpos, Bornology.isVonNBounded_covers, hasDerivAt_abs_neg, Orientation.kahler_swap, coe_innerSL_apply, HasFDerivWithinAt.const_sub, NumberField.tendsto_sub_one_mul_dedekindZeta_nhdsGT, inner_eq_zero_of_right, LinearMap.IsSymmetric.inner_map_self_eq_zero, Real.deriv_sqrt_aux, deriv_fderiv, IsOpen.reProdIm, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, RegularNormedAlgebra.isometry_mul', Complex.frontier_setOf_im_lt, cauchyPowerSeries_apply, ContDiffWithinAt.hasFDerivWithinAt_nhds, ModularFormClass.continuous, MeasureTheory.integral_condExpL2_eq, TemperedDistribution.instFourierSMul, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, exists_nnnorm_lt, Complex.isConnected_of_lowerHalfPlane, hasDerivWithinAt_abs, RCLike.toPosMulReflectLT, hasFPowerSeriesOnBall_const, tendsto_cobounded_of_meromorphicOrderAt_neg, HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, TensorProduct.lidIsometry_apply, ContDiffMapSupportedIn.seminorm_le_iff, MeasureTheory.StronglyMeasurable.inner, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime_pow, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, Complex.tendsto_exp_comap_re_atTop, convex_halfSpace_re_le, Complex.reCLM_coe, Complex.deriv_Gamma_add_one, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux', Seminorm.ball_norm_mul_subset, EuclideanSpace.dist_single_same, Complex.continuous_re, Valued.integer.exists_norm_lt_one, exists_lt_enorm, Module.Basis.coe_toOrthonormalBasis_repr, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, hasFDerivAt_ringInverse, LinearMap.IsPositive.inner_nonneg_left, norm_cfcₙ_lt, Filter.HasBasis.isLittleOTVS_iff, hasGradientAtFilter_iff_isLittleO, MeasureTheory.convolution_precompR_apply, WeakDual.coe_toStrongDual, NormedSpace.eq_zero_iff_forall_dual_eq_zero, Matrix.linfty_opNNNorm_eq_opNNNorm, VectorFourier.fourierIntegral_iteratedFDeriv, HasMFDerivWithinAt.neg, UpperHalfPlane.contMDiff_coe, dist_left_midpoint_eq_dist_right_midpoint, hasGradientAt_iff_isLittleO, InformationTheory.hasDerivAt_klFun, MeasureTheory.setIntegral_condExpL2_indicator, CuspForm.holo', InnerProductSpace.nnnorm_rankOne, PeriodPair.mem_lattice, BoundedContinuousFunction.mem_charPoly, OrthonormalBasis.orthogonalProjection_apply_eq_sum, Orientation.kahler_comp_rightAngleRotation, BoundedContinuousFunction.charAlgHom_apply, LeftInvariantDerivation.comp_L, ArithmeticFunction.vonMangoldt.residueClass_apply, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, AffineIsometryEquiv.toContinuousAffineEquiv_symm, HasGradientWithinAt.differentiableWithinAt, LinearMap.trace_eq_sum_inner, Matrix.gram_zero, ContinuousAlternatingMap.curryLeft_apply_apply, NormedSpace.isVonNBounded_closedBall, MeasureTheory.memLp_haarAddCircle_iff, ContinuousLinearMap.flip_smul, MeromorphicOn.divisor_inv, Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos, Submodule.IsCompl.closedComplemented_of_isClosed, Circle.arg_eq_arg, HasFDerivAt.isBigOTVS_sub, Submodule.norm_eq_iInf_iff_inner_eq_zero, PeriodPair.analyticOnNhd_derivWeierstrassPExcept, UpperHalfPlane.dist_eq_iff_eq_sq_sinh, MeromorphicOn.id, InnerProductSpace.isSymmetricProjection_rankOne_self, MeasureTheory.lpNorm_mul_natCast, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, NumberField.mixedEmbedding.convexBodySum_compact, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, ProbabilityTheory.complexMGF_mul_I, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, MeasureTheory.ConvolutionExistsAt.integrable_swap, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, spectrum.isCompact, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, IsLocalFrameOn.coeff_congr, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, AffineMap.hasDerivAt_lineMap, FiniteDimensional.rclike_to_real, Complex.comap_exp_nhds_zero, Complex.equivRealProdCLM_symm_apply, Seminorm.convexOn, Complex.cos_eq_tsum', iteratedFDerivWithin_neg_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, cot_series_rep', DirichletCharacter.differentiableAt_LFunction, differentiableOn_dslope_of_notMem, LowerSemicontinuousOn.isClosed_re_epigraph, NumberField.canonicalEmbedding.integralBasis_repr_apply, Complex.interior_preimage_re, Complex.continuous_cosh, EuclideanGeometry.orthogonalProjection_apply', fourier_one, Polynomial.ofReal_eval, HasFPowerSeriesOnBall.fderiv_eq, RCLike.wInner_neg_right, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, Seminorm.coe_restrictScalars, UpperHalfPlane.zero_form_isBoundedAtImInfty, denseRange_nnnorm, NumberField.mixedEmbedding.fundamentalCone.subset_interior_normLeOne, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, Meromorphic.MeromorphicOn.countable_compl_analyticAt, NumberField.canonicalEmbedding.integerLattice.inter_ball_finite, PiTensorProduct.projectiveSeminorm_tprod_le, AffineMap.hasDerivWithinAt_lineMap, PeriodPair.basis_zero, UpperHalfPlane.image_coe_ball, NumberField.ComplexEmbedding.IsConj.eq, ContinuousLinearMap.fderiv_of_bilinear, RCLike.ofReal_natCast, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Matrix.PosSemidef.posSemidef_sqrt, Complex.closure_setOf_lt_im, Real.Angle.coe_toCircle, Real.hasDerivWithinAt_arccos_Ici, Rat.HeightOneSpectrum.adicCompletion.padicEquiv_bijOn, ContinuousLinearMap.nnnorm_toSpanSingleton, Polynomial.abs_tendsto_atTop_iff, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, SchwartzMap.toBoundedContinuousFunctionCLM_apply, hasSum_jacobiTheta₂_term, Asymptotics.isLittleOTVS_fun_neg_left, TestFunction.postcompCLM_apply, hasDerivAt_iff_tendsto_slope_left_right, BoundedContinuousFunction.instStarModule, deriv_id'', hasFDerivAt_jacobiTheta₂_term, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, Complex.continuousAt_cpow_const_of_re_pos, Asymptotics.isBigOTVS_iff_smallSets, ContinuousAlternatingMap.norm_restrictScalars, OrthonormalBasis.coe_ofRepr, ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, LSeries_deriv, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, Submodule.adjoint_subtypeL, MeasureTheory.convolutionExistsAt_flip, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, AbsoluteValue.Completion.locallyCompactSpace, AnalyticOn.fderivWithin, EuclideanSpace.nnnorm_single, UpperHalfPlane.contMDiff_inv_denom, ContinuousLinearMap.opNorm_mul_apply, ContinuousLinearMap.norm_smulRightL, RCLike.conjLIE_apply, Function.FactorizedRational.mulSupport, Complex.uniformlyContinuous_re, WithAbs.tendsto_one_div_one_add_pow_nhds_one, Complex.map_exp_comap_re_atTop, RCLike.summable_ofReal, Complex.orthonormalBasisOneI_repr_apply, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, RCLike.conj_mul, ContDiffAt.fderiv_right, Complex.differentiable_exp, MeasureTheory.convolution_def, Affine.Triangle.dist_circumcenter_reflection_orthocenter, MeasureTheory.norm_condExpL2_coe_le, Pretrivialization.continuousLinearMapCoordChange_apply, ContinuousMultilinearMap.curryLeft_norm, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, Complex.UnitDisc.isEmbedding_coe, HurwitzZeta.hasSum_nat_completedCosZeta, HasDerivAt.hasFDerivAt, tendsto_sub_mul_tsum_nat_cpow, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, Polynomial.toAddCircle.integrable, fourier_zero, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, RCLike.imLm_coe, fourier_neg', HasFPowerSeriesWithinOnBall.prod, NormedSpace.eq_iff_forall_dual_eq, Function.Periodic.boundedAtFilter_cuspFunction, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, ContinuousLinearMap.continuous_restrictScalars, HasFDerivWithinAt.neg, hasStrictDerivAt_const_add_iff, Summable_cotTerm, AffineIsometry.toContinuousAffineMap_id, isBoundedBilinearMap_compMultilinear, norm_cauchyPowerSeries_le, hasFDerivAt_norm_rpow, Function.FactorizedRational.meromorphicOrderAt_eq, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, ZSpan.repr_ceil_apply, Asymptotics.isEquivalent_nat_ceil, iteratedDeriv_fun_id_zero, HasFPowerSeriesOnBall.uniform_geometric_approx, DoubleCentralizer.neg_snd, Matrix.eigenvalues_conjTranspose_mul_self_nonneg, summable_jacobiTheta₂_term_fderiv_iff, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, MeromorphicOn.divisor_sub_const_self, ContinuousAlternatingMap.instIsTopologicalAddGroup, Unitization.cobounded_eq_aux, Asymptotics.isBigOTVS_fun_neg_left, sum_inner, IsIntegral.ratCast_iff, RCLike.ofReal_mul, Polynomial.div_tendsto_atBot_zero_of_degree_lt, iteratedDeriv_comp_sub_const, HurwitzZeta.hasSum_nat_hurwitzZetaEven, HasFPowerSeriesWithinAt.fderivWithin_eq, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, continuousWithinAt_dslope_of_ne, dist_lineMap_left, HurwitzZeta.hasSum_int_cosKernel, Asymptotics.isBigOTVS_fun_neg_right, ZMod.completedLFunction_def_odd, RCLike.instContinuousMapUniqueHom, AnalyticOnNhd.fderiv_of_isOpen, FormalMultilinearSeries.id_comp', Seminorm.rescale_to_shell_zpow, OnePoint.isZeroAt_infty_iff, Circle.smul_def, analyticOrderAt_ne_zero, contDiffOn_infty_iff_fderivWithin, ContinuousMultilinearMap.range_toUniformOnFun, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, Matrix.toEuclideanCLM_toLp, Seminorm.smul_closedBall_zero, WeakDual.CharacterSpace.homeoEval_naturality, Submodule.IsCompl.projection_isSymmetricProjection_of_isOrtho, hasSum_fourier_series_L2, InnerProductSpace.Core.inner_neg_right, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, PeriodPair.isClosed_lattice, BoundedContinuousFunction.innerProbChar_zero, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, Complex.tendsto_normSq_cocompact_atTop, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIdealLattice, RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, contDiffOn_stereoToFun, Polynomial.abs_tendsto_atTop, ContinuousLinearMap.isUniformAddGroup, LeftInvariantDerivation.evalAt_coe, fderiv_inverse, Matrix.posDef_gram_of_linearIndependent, HasFPowerSeriesOnBall.fderiv, range_cfcₙ, convex_halfSpace_im_gt, hasGradientAt_iff_isLittleO_nhds_zero, contDiffOn_nat_iff_continuousOn_differentiableOn, EisensteinSeries.tendsto_zero_inv_linear_sub, GaussianFourier.integrable_cexp_neg_mul_sum_add, HilbertBasis.hasSum_orthogonalProjection, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, Complex.continuousOn_sin, padicNormE.defn, Complex.hasStrictFDerivAt_cpow, MeasureTheory.mem_lpMeas_indicatorConstLp, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, tendsto_riemannZeta_sub_one_div, ZetaAsymptotics.tendsto_Gamma_term_aux, NumberField.InfinitePlace.Completion.locallyCompactSpace, Seminorm.restrictScalars_ball, InnerProductSpace.rankOne_eq_zero, Polynomial.differentiable_aeval, Complex.polarCoord_apply, hasDerivAt_deriv_iff, RCLike.mul_wInner_left, Convex.toWeakSpace_closure, Complex.differentiable_iteratedDeriv_sin, AddChar.expect_apply_eq_zero_iff_ne_zero, Function.FactorizedRational.finprod_eq_fun, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, AffineIsometry.linear_eq_linearIsometry, RCLike.re_eq_norm_of_mul_conj, ContMDiffOn.coordChangeL, EisensteinSeries.linear_right_summable, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, Asymptotics.isBigOTVS_iff_isBigO, UnitAddTorus.mFourier_add, Bornology.isVonNBounded_sub_of_nonempty, meromorphicOrderAt_const_natCast, Real.hasDerivAt_qaryEntropy, innerSL_inj, AffineIsometryEquiv.coe_ofEq_apply, continuousAt_dslope_same, WithSeminorms.isVonNBounded_iff_seminorm_bddAbove, MeasureTheory.condExpIndSMul_smul, fderivWithin_inv', spectralAlgNorm_mul, AffineIsometryEquiv.vaddConst_toAffineEquiv, hasDerivAt_add_const_iff, spectralNorm_eq_invariantExtension, hasDerivWithinAt_pow, hasDerivWithinAt_iff_hasFDerivWithinAt, UpperHalfPlane.cosh_dist, LSeries_eq_mul_integral_of_nonneg, UpperHalfPlane.image_coe_closedBall, MeasureTheory.lintegral_nnnorm_condExpL2_le, PeriodPair.periodic_derivWeierstrassP, EisensteinSeries.summable_linear_left_mul_linear_left, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, AffineSubspace.isometryEquivMap.toAffineMap_eq, HasFPowerSeriesOnBall.compContinuousLinearMap, AffineSubspace.signedInfDist_eq_signedDist_of_mem, differentiableWithinAt_of_derivWithin_ne_zero, LinearMap.IsSymmetric.coe_toSelfAdjoint, MeromorphicOn.divisor_intCast, Complex.tendsto_one_add_div_pow_exp, quasispectrum.isCompact, TensorProduct.inner_lid_lid, ContDiffMapSupportedIn.uniformSpace_eq_iInf, NormedSpace.norm_expSeries_summable_of_mem_ball', NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbedding, Matrix.piLp_ofLp_toEuclideanLin, riemannZeta_eulerProduct_exp_log, LinearMap.IsSymmetric.diagonalization_symm_apply, PiTensorProduct.liftIsometry_tprodL, NormedSpace.inclusionInDoubleDual_norm_le, RCLike.rank_le_two, hasDerivWithinAt_one, mfderiv_sub, deriv_comp_add_const, WeakDual.isCompact_closedBall, RCLike.instMulPosReflectLE, Affine.Simplex.signedInfDist_apply_self, PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm, ConvexOn.sSup_of_countable_affine_eq, TestFunction.coe_ofSupportedInCLM, PointedContMDiffMap.smul_def, RCLike.reCLM_coe, continuousSMul_closedBall_ball, UpperHalfPlane.dist_coe_center, LinearMap.norm_mkContinuous₂_aux, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, RCLike.ofNat_mul_re, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', ContDiffMapSupportedIn.continuous_iff_comp_withOrder, HasLineDerivAt.tendsto_slope_zero, Complex.tendsto_arg_nhdsWithin_im_nonneg_of_re_neg_of_im_zero, HasDerivWithinAt.inner, DifferentiableAt.inner, ContinuousLinearMap.holder_smul_left, MeromorphicOn.isClopen_setOf_meromorphicOrderAt_eq_top, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, HarmonicAt.differentiableAt_complex_partial, AffineIsometry.image_intrinsicInterior, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, dist_right_midpoint, tendsto_logDeriv_euler_sin_div, NormedSpace.exp_continuousMap_eq, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, EisensteinSeries.div_linear_zpow_differentiableOn, UnitAddTorus.mFourier_zero, absorbent_nhds_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, isScalarTower_sphere_sphere_sphere, MeromorphicOn.analyticAt_mem_codiscreteWithin, MeasureTheory.hasFDerivAt_convolution_right_with_param, ContMDiffAt.mfderiv_const, smoothSheafCommRing.isUnit_stalk_iff, FormalMultilinearSeries.coeff_ofScalars, UpperHalfPlane.ofComplex_apply_of_im_pos, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, spectralMulAlgNorm_def, RCLike.isUniformEmbedding_ofReal, DifferentiableAt.isBigOTVS_sub, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AffineIsometryEquiv.toContinuousAffineEquiv_refl, Orthonormal.inner_left_right_finset, AlternatingMap.mkContinuousAlternating_norm_le, HasCompactSupport.hasFDerivAt_convolution_right, meromorphicOrderAt_id, ContDiffMapSupportedIn.structureMapCLM_zero_apply, FormalMultilinearSeries.mkPiRing_coeff_eq, differentiableAt_inv_iff, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, SchwartzMap.norm_iteratedFDeriv_le_seminorm, Submodule.norm_orthogonalProjection_apply_le, instPolynormableSpaceSubtypeMemSubmodule, Finsupp.inner_sum, LinearMap.deriv, SchwartzMap.seminorm_le_bound', RCLike.nnnorm_nnratCast, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, PadicInt.coe_adicCompletionIntegersEquiv_symm_apply, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, zeta_eq_tsum_one_div_nat_cpow, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, RCLike.I_eq_zero_or_im_I_eq_one, Bornology.IsVonNBounded.restrict_scalars_of_nontrivial, continuousAt_cpow, InnerProductSpace.toDualMap_apply, TotallyBounded.isVonNBounded, NumberField.mixedEmbedding.convexBodySumFun_smul, Complex.interior_preimage_im, InnerProductSpace.gramSchmidt_orthogonal, NumberField.mixedEmbedding.logMap_real_smul, ContinuousLinearMap.adjoint_inner_left, Complex.isBigO_re_sub_re, AddChar.sum_apply_eq_zero_iff_ne_zero, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, isQuotientCoveringMap_npow, InnerProductSpace.gramSchmidt_pairwise_orthogonal, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, Complex.comap_exp_nhdsNE, ContinuousLinearMap.isBoundedBilinearMap, nnnorm_algebraMap, fdifferential_apply, ContinuousMultilinearMap.hasBasis_nhds_zero, ContinuousMultilinearMap.instIsUniformAddGroup, ball_normSeminorm, HasFPowerSeriesWithinOnBall.sum, Matrix.l2_opNorm_diagonal, Real.hasStrictDerivAt_arcosh, LinearMap.extendTo𝕜_apply, Asymptotics.isEquivalent_iff_exists_eq_mul, UnitAddTorus.coeFn_mFourierLp, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, MeromorphicOn.divisor_sub_const_of_ne, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, FormalMultilinearSeries.le_radius_compContinuousLinearMap, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, ProperSpace.of_nontriviallyNormedField_of_weaklyLocallyCompactSpace, Asymptotics.isBigOTVS_congr, NumberField.mixedEmbedding.polarCoord_symm_apply, NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsReal_coe, ProbabilityTheory.complexMGF_id_mul_I, Complex.deriv_Gamma_nat, Asymptotics.isBigOTVS_neg_right, MDifferentiableOn.coordChangeL, hasDerivAt_update, inner_neg_right, ContinuousAlternatingMap.ofSubsingletonLIE_apply, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, FormalMultilinearSeries.compAlongComposition_bound, iteratedDeriv_fun_id, OrthonormalBasis.singleton_apply, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, UpperHalfPlane.lt_dist_iff_lt_dist_coe_center, RCLike.sqrt_one, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, Complex.continuous_sinh, constFormalMultilinearSeries_apply_zero, Padic.instCompleteSpace, LinearMap.IsSymmetric.restrict_invariant, DifferentiableAt.fderiv_restrictScalars, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, Padic.comap_mulValuation_eq_padicValuation, LinearIsometryEquiv.conjStarAlgEquiv_trans, Complex.UnitDisc.coe_closedBall_smul, FormalMultilinearSeries.radius_smul_eq, AffineIsometryEquiv.ofEq_symm, Polynomial.abs_tendsto_atBot_iff, ContinuousLinearMap.bilinearComp_zero_right, Circle.ext_iff, IsContMDiffRiemannianBundle.exists_contMDiff, ContDiffWithinAt.fderivWithin'', ContinuousMap.ideal_isMaximal_iff, Complex.isOpen_compl_range_intCast, BaireSpace.instBarrelledSpace, Complex.nhdsWithin_lt_le_nhdsWithin_stolzSet, integral_conj, Complex.hasSum_ofReal, CuspFormClass.zero_at_infty, hasDerivAtFilter_add_const_iff, HurwitzZeta.completedHurwitzZetaEven_residue_one, LinearIsometry.extend_apply, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, hasDerivAt_jacobiTheta₂_fst, InnerProductSpace.rank_rankOne, ArithmeticFunction.LSeries_vonMangoldt_eq_deriv_riemannZeta_div, Module.Basis.coe_toOrthonormalBasis_repr_symm, LinearMap.toSeminorm_comp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, UnitAddTorus.mFourier_neg, IsometricContinuousFunctionalCalculus.toNonUnital, contMDiffAt_coordChangeL, meromorphicNFAt_inv, HasFDerivWithinAt.fun_sub, InnerProductSpace.toDual_apply_apply, RCLike.exists_norm_eq_mul_self, Complex.continuousOn_norm_circleTransformBoundingFunction, Complex.continuousAt_Gamma_one, intervalIntegral.intervalIntegrable_cpow, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, Real.hasDerivAt_arcsin, fderivWithin_fun_sub, coe_lpBCFₗᵢ, ContinuousAffineMap.norm_contLinear_le, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, Submodule.linearEquiv_det_reflection, PeriodPair.differentiableOn_derivWeierstrassP, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, PeriodPair.weierstrassPExcept_def, RCLike.nnnorm_ofNat, RCLike.add_conj, spectralNorm.spectralNorm_pow_natDegree_eq_prod_roots, EuclideanGeometry.reflection_eq_self_iff, RCLike.ofReal_re_ax, differentiable_inner, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, CFC.exp_eq_normedSpace_exp, HasLineDerivAt.tendsto_slope_zero_left, ContinuousLinearMap.cpolyomialOn_uncurry_of_multilinear, tendsto_nhds_iff_meromorphicOrderAt_nonneg, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, HurwitzZeta.hasSum_int_cosZeta, hasFDerivAt_integral_of_dominated_loc_of_lip', Submodule.toLinearMap_starProjection_eq_isComplProjection, SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInf, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, InnerProductSpace.Core.inner_self_eq_zero, Meromorphic.countable_compl_analyticAt, ContinuousLinearMap.coe_flipₗᵢ', PiTensorProduct.norm_eval_le_injectiveSeminorm, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, deriv_inv, contDiffOn_succ_iff_fderiv_of_isOpen, PointwiseConvergenceCLM.equivWeakDual_apply, MeasureTheory.lpNorm_fun_mul_natCast, hasSum_jacobiTheta₂_term_fderiv, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, contDiff_iff_continuous_differentiable, NumberField.mixedEmbedding.mem_span_latticeBasis, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_Gammaℝ, hasDerivAt_const, dslope_sub_smul_of_ne, Complex.tendsto_norm_tan_atTop, PadicSeq.norm_neg, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, AffineIsometry.coe_toAffineMap, BoundedContinuousFunction.innerProbChar_apply, OrthonormalBasis.repr_apply_apply, UniformSpace.Completion.norm_toComplL, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, Circle.coe_inv_eq_conj, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, Complex.hasDerivAt_Gammaℂ_one, AnalyticAt.eventually_constant_or_nhds_le_map_nhds, Complex.hasSum_sin, Complex.tendsto_self_mul_Gamma_nhds_zero, Matrix.l2_opNNNorm_conjTranspose, SchwartzMap.integral_bilin_fourier_eq, Complex.hasStrictDerivAt_const_cpow, RCLike.ofReal_add, ClosedSubmodule.orthogonal_eq_inter, ContinuousMultilinearMap.prodL_apply, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, hasFDerivWithinAt_iff_hasDerivWithinAt, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, nndist_left_midpoint, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousLinearMap.coe_flipMultilinearEquiv, Seminorm.bddAbove_iff, NonUnitalAlgHom.coe_Lmul, AffineIsometryEquiv.dist_pointReflection_self, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplex, ContinuousMultilinearMap.norm_map_init_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', ContinuousAffineMap.hasStrictFDerivAt, intervalIntegral.integrableOn_Ioo_cpow_iff, Circle.coe_mul, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', LinearIsometryEquiv.conjStarAlgEquiv_refl, UpperHalfPlane.dist_lt_iff_dist_coe_center_lt, Valued.coe_valuation_eq_rankOne_hom_comp_valuation, MeasureTheory.L2.inner_indicatorConstLp_one, hasStrictFDerivAt_iff_hasStrictDerivAt, RCLike.ofReal_neg, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, contDiff_nat_iff_iteratedDeriv, eventually_singleton_add_smul_subset, LinearMap.IsSymmetric.toSelfAdjoint_apply, Submodule.coe_continuous_linearProjOfClosedCompl, hasSum_jacobiTheta₂'_term, EuclideanGeometry.orthogonalProjection_subtype, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, iteratedFDeriv_neg_apply, RCLike.im_mul_ofReal, Submodule.coe_orthogonalDecomposition, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zero, circleMap_notMem_ball, SchwartzMap.toTemperedDistributionCLM_apply_apply, ContinuousLinearMap.coe_restrict_scalarsL', ContinuousLinearMapWOT.isInducing_inducingFn, SlashInvariantFormClass.periodic_comp_ofComplex, fderivWithin_fderivWithin_eq_of_eventuallyEq, integrableOn_Ioi_deriv_ofReal_cpow, nhdsNE_neBot, EulerProduct.eulerProduct_completely_multiplicative_tprod, Complex.map_exp_comap_re_atBot, StrongDual.polarSubmodule_eq_polar, fourier_coe_apply, summable_prod_mul_pow, PiTensorProduct.liftEquiv_symm_apply, Complex.interior_setOf_le_im, dist_right_pointReflection, Matrix.nonneg_iff_posSemidef, RCLike.summable_conj, RCLike.geometric_hahn_banach_point_point, TestFunction.coe_ofSupportedInLM, meromorphicOrderAt_inv, extDerivWithin_fun_smul, RCLike.wInner_zero_right, inner_smul_real_right, fourierSubalgebra_separatesPoints, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, Asymptotics.isLittleOTVS_fun_neg_right, Complex.isEquivalent_sinh, AnalyticOnNhd.is_constant_or_isOpenMap, Real.Angle.arg_toCircle, MeasureTheory.SignedMeasure.re_toComplexMeasure, TemperedDistribution.smulLeftCLM_sub, Complex.one_add_cpow_hasFPowerSeriesAt_zero, HurwitzZeta.hasSum_nat_cosZeta, Commute.cfcₙHom, Submodule.norm_subtypeL, AffineSubspace.closed_of_finiteDimensional, ContinuousLinearMapWOT.hasBasis_seminorms, Submodule.mem_orthogonal', NumberField.mixedEmbedding.volume_preserving_negAt, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, OnePoint.isZeroAt_iff_forall_SL2Z, LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, WithSeminorms.topology_eq_withSeminorms, hasSum_cauchyPowerSeries_integral, ContinuousLinearMap.aestronglyMeasurable_comp₂, continuousSMul_sphere_closedBall, Circle.coe_pow, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, SchwartzMap.smulLeftCLM_const, UpperHalfPlane.contMDiff_num, RCLike.wInner_sub_left, UpperHalfPlane.mdifferentiable_denom, LinearMap.toMatrix_innerₛₗ_apply, UpperHalfPlane.dist_self_center, AffineSubspace.toContinuousAffineMap_subtypeₐᵢ, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, Matrix.permMatrix_l2_opNorm_le, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, Complex.continuous_conj, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, Function.locallyFinsuppWithin.toClosedBall_divisor, LSeries.term_convolution, PointwiseConvergenceCLM.equivWeakDual_symm_apply, PadicAlgCl.instUniformContinuousConstSMulPadic, MeasureTheory.ComplexMeasure.integrable_rnDeriv, RCLike.wInner_one_eq_inner, PadicSeq.norm_nonarchimedean, NumberField.mixedEmbedding.negAt_apply_isComplex, isBigO_riemannZeta_sub_one_div, AffineMap.hasDerivAt, Complex.hasFDerivAt_cpow, Matrix.eigenvalues_self_mul_conjTranspose_nonneg, Submodule.norm_sq_eq_add_norm_sq_projection, ContinuousAffineMap.contDiff, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, Complex.differentiableAt_exp, inner_zero_left, HasFDerivWithinAt.fun_neg, LinearMap.range_toContinuousLinearMap, Complex.not_continuousAt_Gamma_zero, Complex.differentiable_Gammaℝ_inv, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, dist_lineMap_right, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, continuous_circleMap, differentiableAt_jacobiTheta₂_fst, MeasureTheory.lpNorm_fun_natCast_mul, AffineMap.differentiableAt, hasStrictDerivAt_finCons', RCLike.neg_iff, isScalarTower_closedBall_ball_ball, Complex.iter_deriv_exp, MeromorphicOn.meromorphicNFAt_mem_codiscreteWithin, HasProdLocallyUniformlyOn_euler_sin_prod, meromorphicNFAt_iff_analyticAt_or, NormedSpace.ofReal_exp_ℝ_ℝ, ContinuousLinearMap.isBoundedLinearMap_comp_right, convex_halfSpace_im_lt, RCLike.sqrt_eq_real_add_ite, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, NormedSpace.isVonNBounded_iff', Polynomial.rootSet_derivative_subset_convexHull_rootSet, WeakDual.isSeqCompact_closedBall, hasStrictDerivAt_finCons, Complex.differentiableAt_tan, PiTensorProduct.liftEquiv_apply, Matrix.l2_opNorm_conjTranspose, has_antideriv_at_fourier_neg, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, fderivWithin_iteratedFDerivWithin, UnitAddTorus.mFourier_norm, toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhds, Matrix.instNonnegSpectrumClass, MultilinearMap.mkContinuousLinear_norm_le, WithSeminorms.uniformEquicontinuous_iff_bddAbove_and_continuous_iSup, LinearIsometry.toSpanSingleton_apply, WeakDual.exists_countable_separating, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, LSeriesSummable.sum, Function.Periodic.continuous_qParam, PadicAlgCl.valuation_p, Orientation.areaForm'_apply, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, HurwitzZeta.hasSum_expZeta_of_one_lt_re, PadicComplex.valuation_p, innerSLFlip_apply_apply, UniformContinuousOn.cexp, ContinuousLinearMap.nnnorm_holder_apply_apply_le, RCLike.ofReal_mul_pos_iff, AffineMap.lipschitzWith_of_finiteDimensional, Affine.Triangle.dist_orthocenter_reflection_circumcenter, OrthogonalFamily.hasSum_linearIsometry, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, isOpen_setOf_affineIndependent, tendsto_zero_of_meromorphicOrderAt_pos, finrank_euclideanSpace, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Complex.continuous_exp, HurwitzZeta.hasSum_int_completedHurwitzZetaOdd, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, EuclideanGeometry.oangle_orthogonalProjection_self, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, PadicSeq.not_equiv_zero_const_of_nonzero, ConvexOn.sSup_of_nat_affine_eq, exists_enorm_lt, Submodule.fst_orthogonalDecomposition_apply, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, Complex.frontier_preimage_im, inner_add_left, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, DirichletCharacter.summable_neg_log_one_sub_mul_prime_cpow, Submodule.orthogonal_orthogonal_eq_closure, continuousAt_clog, EisensteinSeries.linear_left_summable, PeriodPair.hasSumLocallyUniformly_weierstrassPExcept, Circle.invOn_arg_exp, contMDiff_smul, MeromorphicOn.divisor_ofNat, RCLike.one_im, nndist_midpoint_left, DoubleCentralizer.nnnorm_fst, RCLike.toZeroLEOneClass, with_gaugeSeminormFamily, RCLike.natCast_re, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Complex.hasDerivAt_cos, Valued.integer.norm_le_one, Complex.ofRealCLM_apply, contMDiffOn_continuousLinearMapCoordChange, UpperHalfPlane.ofComplex_apply_eq_of_im_nonpos, Function.FactorizedRational.meromorphicNFOn_univ, Complex.log_sub_self_isBigO, ContinuousMultilinearMap.curryFinFinset_apply_const, InnerProductSpace.enorm_rankOne, Module.Basis.exists_opNNNorm_le, aestronglyMeasurable_smul_const_iff, absConvexHull_add_subset, Orthonormal.inner_finsupp_eq_sum_right, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, Submodule.orthogonalFamily_self, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, instSeminormClassAlgebraNormSubtypeAlgebraicClosureMemIntermediateFieldNormalClosure, Module.Basis.equivFunL_apply, Polynomial.cyclotomic.isCoprime_rat, WithSeminorms.tendsto_nhds, inner_map_complex, BoundedContinuousFunction.probCharDual_zero, ContinuousMultilinearMap.flipLinear_apply_apply, HasStrictFDerivAt.neg, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, Complex.arg_eq_nhds_of_im_neg, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, PadicComplex.isNonarchimedean, LinearMap.hasDerivWithinAt, WithSeminorms.isOpen_iff_mem_balls, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, Real.fourier_fderiv, MeromorphicOn.inv_iff, MeasureTheory.AEStronglyMeasurable.inner, FormalMultilinearSeries.comp_id, Submodule.inner_orthogonalProjection_eq_of_mem_right, Complex.tendsto_exp_comap_re_atBot, ContinuousMap.adjoin_id_eq_span_one_union, IsSelfAdjoint.spectrumRestricts, NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subset, hasFTaylorSeriesUpTo_succ_nat_iff_right, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, ContinuousMultilinearMap.isUniformEmbedding_toUniformOnFun, meromorphicTrailingCoeffAt_const, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, HasFDerivWithinAt.norm_sq, tsum_riemannZetaSummand, ordinaryHypergeometric_radius_top_of_neg_nat₂, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, ClosedSubmodule.iInf_orthogonal, Asymptotics.isLittleOTVS_iff_smallSets, Complex.summable_ofReal, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, hasDerivAt_fourier_neg, nhds_hasBasis_absConvex, Matrix.isHermitian_gram, integral_inner, HasFPowerSeriesOnBall.neg, AnalyticAt.harmonicAt_conj, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, Matrix.isStrictlyPositive_iff_posDef, ZSpan.coe_floor_self, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, Seminorm.sSup_empty, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, nndist_midpoint_midpoint_le', fourier_eval_zero, SchwartzMap.fourierInv_lineDerivOp_eq, VectorFourier.integral_fourierIntegral_swap, RCLike.finrank_le_two, Complex.tendsto_euler_sin_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, MeasureTheory.integral_charFun_Icc, dist_homothety_self, ZMod.completedLFunction_eq, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, NormedSpace.isVonNBounded_of_isBounded, iteratedFDeriv_eq_equiv_comp, Complex.hasStrictDerivAt_log, linear_isometry_complex, LinearMap.toContinuousLinearMap_eq_iff_eq_toLinearMap, meromorphicTrailingCoeffAt_inv, Unitization.norm_eq_sup, RCLike.nonneg_iff, MeromorphicAt.id, Affine.Simplex.orthogonalProjection_circumcenter, Real.hasDerivAt_cos, ContinuousMap.toLp_norm_eq_toLp_norm_coe, RCLike.ofReal_zero, Matrix.ofLp_toEuclideanCLM, NumberField.mixedEmbedding.convexBodySumFun_continuous, hasFTaylorSeriesUpToOn_succ_nat_iff_right, summable_pow_div_add, hasDerivAtFilter_iff_isLittleO, HasStrictFDerivAt.restrictScalars, PadicInt.coe_adicCompletionIntegersEquiv_apply, MeromorphicAt.eventually_continuousAt, UpperHalfPlane.dist_eq, Circle.star_addChar, HurwitzZeta.hurwitzZeta_residue_one, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', hasDerivAt_exp_smul_const, RCLike.continuous_re, NormedSpace.algebraMap_exp_comm, Asymptotics.isBigOTVS_neg_left, exists_dual_vector, nndist_center_homothety, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, hasFDerivWithinAt_comp_smul_smul_iff, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, fourierCoeff_toLp, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, RCLike.instContinuousStar, ProbabilityTheory.hasDerivAt_complexMGF, DifferentiableWithinAt.isBigOTVS_sub, LinearMap.isPositive_toContinuousLinearMap_iff, meromorphicNFOn_inv, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, Complex.tsum_exp_neg_quadratic, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', AddChar.wInner_cWeight_eq_one_iff_eq, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter, FormalMultilinearSeries.changeOrigin_eval_of_finite, RCLike.sqrt_map, iteratedFDerivWithin_two_apply', Polynomial.isEquivalent_atTop_div, Real.hasDerivWithinAt_arcsin_Ici, curveIntegral_fun_neg, HasStrictDerivAt.hasStrictFDerivAt, PeriodPair.derivWeierstrassP_sub_coe, RCLike.zero_re, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, Matrix.instFiniteElemRealSpectrum, HasStrictFDerivAt.to_implicitFunction, rotationOf_rotation, InnerProductSpace.gramSchmidt_triangular, RCLike.smul_im, SpectrumRestricts.real_iff, dist_self_homothety, Matrix.l2_opNNNorm_mul, contDiffWithinAt_succ_iff_hasFDerivWithinAt', HurwitzZeta.differentiableAt_completedHurwitzZetaEven, Complex.cosh_eq_tsum, IsLocalFrameOn.eventually_eq_sum_coeff_smul, contDiffOn_succ_iff_hasFDerivWithinAt, RCLike.tendsto_ofReal_cobounded_cobounded, differentiableWithinAt_euclidean, NumberField.mixedEmbedding.volume_preserving_mixedSpaceToRealMixedSpace_symm, unitary.spectrum_subset_circle, MeasureTheory.integral_prod_mul, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_exists_dist_eq, DoubleCentralizer.neg_toProd, FormalMultilinearSeries.radius_unshift, Complex.frontier_setOf_lt_im, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, MeromorphicOn.divisor_apply, Matrix.isPositive_toEuclideanLin_iff, ContinuousLinearMap.coe_restrictScalarsIsometry, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, Polynomial.aeval_conj, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, RCLike.re_eq_add_conj, continuousMultilinearCurryFin0_apply, ContDiff.inner, Complex.interior_reProdIm, HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven, HasGradientAt.differentiableAt, PiTensorProduct.dualSeminorms_bounded, LinearMap.hasBasis_weakBilin, CommCStarAlgebra.toStarModule, FormalMultilinearSeries.radius_neg, Function.FactorizedRational.analyticAt, extDeriv_smul, Complex.contDiff_exp, spectrum.isClosed, HasDerivAt.norm_sq, WeakBilin.locallyConvexSpace, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, IsSelfAdjoint.conj_adjoint, ContinuousMultilinearMap.curryMidEquiv_apply, Complex.closure_preimage_re, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, DoubleCentralizer.algebraMap_snd, SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf, WeakDual.polar_def, RCLike.wInner_const_left, Complex.isOpenQuotientMap_pow, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, HurwitzZeta.hasSum_int_sinKernel, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, contDiffAt_inv, iteratedFDerivWithin_succ_apply_left, EuclideanSpace.toLp_single, exists_one_lt_nnnorm, hasStrictFDerivAt_norm_sq, support_deriv_subset, Bornology.IsVonNBounded.restrict_scalars, LinearMap.adjoint_toSpanSingleton, Complex.interior_setOf_im_le, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, NontriviallyNormedField.cobounded_neBot, contDiffOn_infty_iff_fderiv_of_isOpen, hasDerivWithinAt_natCast, Asymptotics.superpolynomialDecay_iff_isLittleO, NumberField.canonicalEmbedding.nnnorm_eq, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, QuasispectrumRestricts.real_iff, ContinuousLinearMap.bilinearComp_apply, TemperedDistribution.instLineDerivSMulReal, iteratedDeriv_comp_neg, logDeriv_id, RCLike.inner_apply, cot_series_rep, exists_enorm_lt_one, HasFDerivAtFilter.fun_sub, upperHemicontinuous_quasispectrum, spectrum.isBounded, ClosedSubmodule.mem_orthogonal, UpperHalfPlane.ofComplex_apply_eq_ite, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Polynomial.differentiableAt_aeval, WeakDual.CharacterSpace.compContinuousMap_apply, Subalgebra.frontier_subset_frontier, HurwitzZeta.completedCosZeta_residue_zero, hasDerivAt_id, HasFTaylorSeriesUpToOn.fderivWithin, Real.hasDerivAt_rpow_const, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, MeasureTheory.Integrable.re_im_iff, RCLike.normSq_mul, RCLike.hasSum_conj, Polynomial.isEquivalent_atBot_lead, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, FormalMultilinearSeries.id_comp, ContinuousLinearMap.norm_map_tail_le, deriv_update, UpperHalfPlane.qParam_tendsto_atImInfty, HasFPowerSeriesAt.restrictScalars, contMDiffOn_symm_coordChangeL, orthonormal_subtype_iff_ite, ContinuousLinearMap.instStarModuleId, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, Seminorm.convex_ball, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, continuousAt_inv, NormedSpace.polar_closure, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', ContinuousLinearMapWOT.instContinuousSMul, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, RCLike.norm_wInner_le, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, Complex.isConnected_of_upperHalfPlane, PadicInt.nthHomSeq_mul, norm_fderiv_iteratedFDeriv, Complex.differentiable_sin, curveIntegralFun_neg, UpperHalfPlane.dist_eq_iff_dist_coe_center_eq, Complex.continuous_normSq, binomialSeries_radius_eq_top_of_nat, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, MeasureTheory.Lp.norm_constL_le, PeriodPair.weierstrassP_add_coe, Asymptotics.isLittleOTVS_map, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, TemperedDistribution.fourier_lineDerivOp_eq, Matrix.l2_opNNNorm_def, HasGradientAtFilter.isBigO_sub, hasDerivAtFilter_sub_const_iff, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.adjointAux_adjointAux, HasStrictFDerivAt.const_sub, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, Submodule.coe_inner, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, fderiv_sub, hasDerivAt_exp, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, circleMap_mem_sphere, UniformSpace.Completion.Continuous.inner, LeftInvariantDerivation.coe_add, MeasureTheory.condExpL2_indicator_of_measurable, Complex.hasDerivAt_logTaylor, inner_zero_right, DirichletCharacter.differentiable_LFunction, WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, inner_self_eq_zero, NumberField.mixedEmbedding.norm_smul, Real.hasStrictDerivAt_arsinh, circleMap_preimage_codiscrete, iter_deriv_pow', MeasureTheory.AEStronglyMeasurable.const_inner, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, Orthonormal.inner_right_finsupp, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, Complex.lintegral_comp_polarCoord_symm, AffineIsometry.norm_map, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, Asymptotics.isLittleOTVS_iff_isLittleO, EuclideanSpace.basisFun_repr, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, zero_cpow_eq_nhds, inner_product_apply_eigenvector, HasFTaylorSeriesUpToOn.hasFDerivAt, hasStrictFDerivAt_inv, MeromorphicAt.eventually_analyticAt, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, Circle.leftInverse_exp_arg, Complex.continuousAt_ofReal_cpow, Subalgebra.spectrum_isBounded_connectedComponentIn, MeromorphicOn.eventually_codiscreteWithin_analyticAt, AffineSubspace.isometryEquivMap.coe_apply, ContinuousAlternatingMap.hasBasis_nhds_zero, LinearIsometry.coe_toSpanSingleton, AnalyticAt.eventually_constant_or_nhds_le_map_nhds_aux, Padic.mk_eq, Bornology.isBounded_iff_isVonNBounded, circleMap_mem_closedBall, deriv_neg'', ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, HasFDerivWithinAt.restrictScalars, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, RCLike.continuous_ofReal, RCLike.exists_norm_mul_eq_self, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, IsLocalFrameOn.coeff_apply_of_notMem, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, ContinuousMultilinearMap.uncurryRight_apply, WithLp.unitization_nnnorm_inr, NumberField.mixedEmbedding.polarCoord_source, InnerProductSpace.Core.inner_smul_ofReal_left, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, UpperHalfPlane.J_smul, fderiv_inv, differentiableWithinAt_iff_restrictScalars, Complex.orthonormalBasisOneI_repr_symm_apply, derivWithin_comp_mul_left, UpperHalfPlane.cmp_dist_eq_cmp_dist_coe_center, hasDerivAt_circleMap, RCLike.ofReal_alg, ContinuousLinearMap.bilinearComp_zero, isScalarTower_sphere_sphere_closedBall, Complex.UnitDisc.instSMulCommClass_closedBall_right, iteratedDeriv_eq_equiv_comp, UnitAddTorus.hasSum_mFourier_series_L2, OrthonormalBasis.inner_eq_zero, MultilinearMap.mkContinuousLinear_norm_le', norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, iteratedDeriv_comp_const_add, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, NumberField.mixedEmbedding.continuous_norm, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Submodule.isOrtho_span, contDiffOn_fderiv_coord_change, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, Complex.continuousOn_tan, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.hausdorffMeasure_homothety_image, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, ContinuousMultilinearMap.integral_apply, spectralNorm_smul, hasDerivAt_iff_hasFDerivAt, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasFiniteFPowerSeriesOnBall.neg, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, inner_add_add_self, LinearMap.weakBilin_withSeminorms, RCLike.complexLinearIsometryEquiv_symm_apply, norm_derivWithin_eq_norm_fderivWithin, differentiableWithinAt_dslope_of_ne, ContinuousLinearMap.le_def, hasGradientAt_iff_tendsto, WeakDual.isClosed_closedBall, hasDerivAt_fourier, Filter.Tendsto.ofReal, coe_lpPiLpₗᵢ, Complex.continuousAt_cpow_zero_of_re_pos, Circle.norm_coe, NumberField.mixedEmbedding.polarSpaceCoord_symm_apply, Complex.measurableEquivRealProd_symm_polarCoord_symm_apply, Complex.UnitDisc.instIsScalarTower_closedBall, InnerProductSpace.Core.inner_sub_sub_self, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, Complex.instCompleteSpace, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, UpperHalfPlane.le_dist_coe, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, inner_add_right, fdifferential_comp, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv, continuous_inner, RCLike.sqrt_neg_one, ModularFormClass.differentiableAt_cuspFunction, fourier_apply, ContinuousLinearMap.le_opNorm₂, nnnorm_inner_le_nnnorm, ContinuousLinearMap.lpPairing_eq_integral, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, InnerProductSpace.Core.inner_zero_right, Seminorm.continuous_iff, ContinuousLinearMap.norm_uncurryMid, IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, QuadraticForm.equivalent_sum_squares, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, ContinuousLinearMap.opNorm_mul_le, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, ContDiffWithinAt.fderivWithin', hasStrictDerivAt_abs_neg, ContinuousLinearMap.holder_smul_right, WithSeminorms.continuous_seminorm, HasFPowerSeriesOnBall.tendstoUniformlyOn', Valued.integer.properSpace_iff_completeSpace_and_isDiscreteValuationRing_integer_and_finite_residueField, HasFPowerSeriesWithinOnBall.const_smul, fderiv_apply_one_eq_deriv, HurwitzZeta.hasSum_nat_completedSinZeta, isScalarTower_sphere_sphere_ball, IsUltrametricDist.algNormOfAlgEquiv_apply, integrableOn_exp_mul_complex_Iic, ContinuousAlternatingMap.continuous_restrictScalars, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, Submodule.norm_orthogonalProjection_apply, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, Complex.frontier_setOf_le_re, meromorphicTrailingCoeffAt_id_sub_const, PadicComplex.instIsScalarTowerPadicPadicAlgCl, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, RCLike.ofNat_mul_im, LinearMap.toMatrixOrthonormal_apply, MeasureTheory.condExpL1CLM_lpMeas, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, UpperHalfPlane.contMDiff_denom_zpow, convex_halfSpace_re_ge, OrthogonalFamily.inner_sum, deriv_circleMap, NormedSpace.vonNBornology_eq, PeriodPair.latticeBasis_one, HasStrictFDerivAt.fun_sub, EuclideanSpace.inner_eq_star_dotProduct, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, Polynomial.tendsto_nhds_iff, ContinuousLinearMap.isometry_mul, isCoveringMapOn_npow, NonUnitalCommCStarAlgebra.toStarModule, logDeriv_id', OrthonormalBasis.sum_repr_symm, RCLike.isCauSeq_im, LeftInvariantDerivation.coe_neg, Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, Complex.frontier_setOf_re_lt, DifferentiableWithinAt.restrictScalars_fderivWithin, IsPrimitiveRoot.nnnorm_eq_one, PeriodPair.weierstrassP_sub_coe, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, DoubleCentralizer.sub_toProd, Complex.analyticOn_univ_iff_differentiable, Valued.integer.coe_span_singleton_eq_closedBall, Complex.conjCLE_nnorm, Polynomial.differentiableOn, IsLocalFrameOn.coeff_apply_zero_at, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, inner_sub_left, egauge_ball_one_le_of_one_lt_norm, HasFTaylorSeriesUpToOn.add, NormedSpace.norm_expSeries_summable', MeasureTheory.dist_convolution_le', formalMultilinearSeries_geometric_eq_ofScalars, isQuotientCoveringMap_zpow, NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace_apply, Matrix.posSemidef_gram, differentiableOn_neg, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, LinearMap.continuous_of_nonzero_on_open, MeasureTheory.SignedMeasure.toComplexMeasure_apply_re, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, Complex.isBigO_im_sub_im, InnerProductSpace.innerSL_norm, ArithmeticFunction.LSeries_vonMangoldt_eq, ContinuousMultilinearMap.isEmbedding_toUniformOnFun, MultilinearMap.mkContinuousMultilinear_norm_le', SchwartzMap.le_seminorm, DoubleCentralizer.nnnorm_fst_eq_snd, toWeakSpace_closedConvexHull_eq, Unitization.norm_def, SchwartzMap.eLpNorm_le_seminorm, Complex.isCoveringMapOn_exp, Submodule.det_reflection, deriv_neg', Orientation.kahler_rotation_left', fderivWithin_neg, hasFDerivAtFilter_iff_isLittleOTVS, zeta_eq_tsum_one_div_nat_add_one_cpow, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, Complex.continuous_cos, DirichletCharacter.differentiableAt_completedLFunction, ContinuousAlternatingMap.curryLeft_same, NumberField.mixedEmbedding.euclidean.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMultilinearMap.curryRight_apply, AnalyticAt.of_meromorphicOrderAt_pos, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Submodule.inner_orthogonalProjection_eq_of_mem_left, ContMDiffWithinAt.mfderivWithin, convex_halfSpace_im_ge, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, rotation_trans, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, UpperHalfPlane.le_dist_iff_le_dist_coe_center, CurveIntegrable.fun_neg, AffineSubspace.subtypeₐᵢ_linear, NumberField.mixedEmbedding.polarCoord_target, Complex.continuousAt_arg_coe_angle, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, CauSeq.cauchySeq, Asymptotics.superpolynomialDecay_iff_isBigO, ContinuousLinearMap.norm_extendTo𝕜', StrongDual.polar_univ, Valued.isNonarchimedean_norm, Submodule.inner_left_of_mem_orthogonal, NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isReal, PeriodPair.hasSum_weierstrassP, convex_halfSpace_re_lt, differentiableAt_iff_comp_const_sub, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, Padic.toEquiv_withValUniformEquiv_eq_toEquiv_withValRingEquiv, UpperHalfPlane.ofComplex_apply, ContDiffMapSupportedIn.postcompCLM_apply, LinearPMap.isSelfAdjoint_def, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, TemperedDistribution.smulLeftCLM_add, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, PeriodPair.coeff_weierstrassPSeries, ProbabilityTheory.covarianceBilin_apply_basisFun, Complex.ball_one_subset_slitPlane, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, PeriodPair.isOpen_compl_lattice_diff, ContinuousAlternatingMap.restrictScalarsLI_apply, Complex.restrictScalars_toSpanSingleton, Orientation.normSq_kahler, Complex.volume_closedBall, Complex.UnitDisc.mk_neg, Complex.tendsto_one_add_div_cpow_exp, hasGradientAt_iff_hasFDerivAt, Complex.hasSum_cos', Asymptotics.IsTheta.isThetaTVS, Asymptotics.isEquivalent_nat_floor, MeromorphicOn.countable_compl_analyticAt_inter, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, Complex.closure_setOf_re_lt, Complex.deriv_cosh, curveIntegrable_neg_iff, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, PeriodPair.derivWeierstrassP_coe, HasFPowerSeriesOnBall.tendsto_partialSum, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, Asymptotics.isTheta_const_mul_right, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, inner_eq_zero_of_left, NumberField.InfinitePlace.Completion.extensionEmbedding_coe, NumberField.mixedEmbedding.negAt_symm, HasFPowerSeriesWithinAt.prod, LSeries_tendsto_sub_mul_nhds_one_of_tendsto_sum_div_and_nonneg, iteratedFDeriv_succ_apply_right, fourierSubalgebra_coe, NumberField.InfinitePlace.denseRange_algebraMap_pi, FormalMultilinearSeries.leftInv_coeff_one, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, Polynomial.toAddCircle_monomial_eq_smul_fourier, NumberField.finite_of_discr_bdd, Complex.inner, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, Orthonormal.inner_finsupp_eq_sum_left, continuousAt_const_cpow', fderiv_deriv, Complex.hasStrictDerivAt_sin, Complex.polarCoord_source, hasFPowerSeriesAt_pi_iff, Module.Basis.continuous_toMatrix, norm_cfcₙ_le, continuousAt_zpow, hasDerivWithinAt_univ, Asymptotics.isLittleOTVS_neg_right, MulChar.star_apply', Seminorm.ball_zero_absorbs_ball_zero, RCLike.continuous_conj, NumberField.mixedEmbedding.polarCoord_symm_eq, continuous_barycentric_coord, PadicSeq.not_limZero_const_of_nonzero, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, InnerProductSpace.isStarProjection_rankOne_self, RCLike.norm_natCast, Rat.padicValuation_eq_zero_iff, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, Complex.exp_sub_sum_range_succ_isLittleO_pow, contDiffAt_inner, ContinuousLinearMapWOT.ext_dual_iff, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, contDiff_clm_apply_iff, Complex.continuousOn_prod_circle_transform_function, HasFPowerSeriesAt.hasFDerivAt, OrthonormalBasis.measurePreserving_repr_symm, lp.summable_inner, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, WeakDual.isClosed_polar, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, MeasureTheory.measureReal_abs_gt_le_integral_charFun, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, EuclideanSpace.piLpCongrLeft_single, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, Submodule.inner_right_of_mem_orthogonal, Differentiable.inner, UpperHalfPlane.dist_center_dist, LinearMap.mkContinuous₂_norm_le, DifferentiableAt.ofReal_cpow_const, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, LeftInvariantDerivation.map_smul, hasFDerivAt_jacobiTheta₂, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, RCLike.ofReal_intCast, Complex.isHomeomorphicTrivialFiberBundle_re, WithSeminorms.congr_equiv, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, NumberField.mixedEmbedding.polarSpaceCoord_target', InnerProductSpaceable.add_left, RCLike.complexRingEquiv_symm_apply, Polynomial.isBoundedUnder_abs_atBot_iff, hasStrictDerivAt_const, RCLike.ofReal_eq_zero, ContinuousLinearMap.coeFn_compLpL, rotationOf_coe, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, DoubleCentralizer.sub_fst, Module.Basis.parallelepiped_eq_map, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_blockTriangular, ContDiffMapSupportedIn.norm_apply_le_seminorm, Complex.deriv_tan, contDiffOn_clm_apply, RCLike.re_mul_ofReal, isCauSeq_iff_cauchySeq, MeromorphicAt.frequently_eq_iff_eventuallyEq, UpperHalfPlane.dist_le_dist_coe_div_sqrt, Submodule.starProjection_orthogonal, Seminorm.inf_apply, PiTensorProduct.mapLMultilinear_apply_apply, ContinuousMap.setOfIdeal_eq_compl_singleton, Complex.hasDerivAt_cosh, isBoundedBilinearMap_apply, FormalMultilinearSeries.analyticOnNhd, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, EisensteinSeries.tendsto_zero_inv_linear, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, RCLike.ofRealCLM_norm, ContinuousLinearMap.IsInvertible.contDiffAt_map_inverse, Submodule.ClosedComplemented.of_finiteDimensional, Complex.sqrt_map, ContinuousAffineMap.hasFDerivAtFilter, hasStrictFDerivAt_ringInverse, Complex.UnitDisc.coe_smul_closedBall, ContinuousLinearMap.mul_apply', spectralAlgNorm_one, HurwitzZeta.differentiableAt_hurwitzZeta, MeromorphicNFOn.zero_set_eq_divisor_support, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, LinearMap.instStarModuleId, NumberField.inverse_basisMatrix_mulVec_eq_repr, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, InnerProductSpace.rankOne_comp_rankOne, TemperedDistribution.fourierTransform_apply, MeasureTheory.convolution_lsmul_swap, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, Real.hasStrictDerivAt_arctan, Complex.interior_setOf_re_le, DirichletCharacter.deriv_LFunctionTrivChar₁_apply_of_ne_one, parallelogram_law, Submodule.orthogonal_closure', hasDerivAtFilter_finCons', Complex.isOpen_im_gt_EReal, MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, Asymptotics.IsTheta.listProd, Matrix.toEuclideanLin_eq_toLin, LinearMap.mkContinuous_norm_le', tendsto_logDeriv_euler_cot_sub, SlashInvariantForm.coe_trace, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, analyticOrderAt_id, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, ContinuousAffineMap.hasFDerivAt, BoundedContinuousFunction.instIsBoundedSMul_1, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, LSeries_differentiableOn, Asymptotics.Filter.Tendsto.isBigOTVS_one, Polynomial.cyclotomic_eq_minpoly_rat, instContMDiffInv₀ModelWithCornersSelf, differentiableAt_riemannZeta, spectralAlgNorm_extends, fderiv_fun_neg, Valued.integer.norm_unit, Complex.tendsto_partialGamma, Complex.exp_sub_sum_range_isBigO_pow, Matrix.finite_real_spectrum, deriv_zpow, Complex.tendsto_norm_tan_of_cos_eq_zero, riemannZeta_eulerProduct, Complex.isOpenQuotientMap_zpow_compl_zero, UpperHalfPlane.eventuallyEq_coe_comp_ofComplex, InnerProductSpace.rankOne_comp, EisensteinSeries.summable_linear_sub_mul_linear_add, inner_eq_neg_one_iff_of_norm_eq_one, Submodule.mem_orthogonal, ContinuousAffineMap.norm_image_zero_le, StrongDual.mem_polarSubmodule, exists_dual_vector', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, EuclideanSpace.basisFun_inner, Orientation.kahler_rightAngleRotation_left, Asymptotics.isLittleOTVS_comm, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, ContinuousLinearMap.hasBasis_nhds_zero_of_basis, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, hasFPowerSeriesWithinAt_pi_iff, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, hasDerivAt_iff_isLittleO_nhds_zero, inner_smul_right, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, HurwitzZeta.hasSum_nat_hurwitzZetaOdd, Real.fourierIntegral_fderiv, HasMFDerivAt.sub, Function.Periodic.invQParam_tendsto, InnerProductSpace.toMatrix_rankOne, cfcₙHom_real_eq_restrict, PeriodPair.latticeEquiv_symm_apply, EuclideanSpace.ofLp_single, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, LinearMap.polar_AbsConvex, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, PiTensorProduct.liftIsometry_comp_mapL, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, Complex.closure_setOf_lt_re, UnitAddTorus.mFourierSubalgebra_separatesPoints, Complex.betaIntegral_convergent, dist_pointReflection_right, RCLike.nonneg_iff_exists_ofReal, RCLike.geometric_hahn_banach_open, EuclideanGeometry.orthogonalProjection_mem, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, Commute.cfcHom, inner_eq_one_iff_of_norm_eq_one, Real.hasDerivAt_cosh, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, LeftInvariantDerivation.coe_smul, LSeries_sum, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, cfc_apply_mem_elemental, UpperHalfPlane.comp_ofComplex_of_im_le_zero, Asymptotics.IsBigOTVS.rfl, Complex.hasDerivAt_sin, fourierCoeff_eq_intervalIntegral, Seminorm.bddBelow_range_add, ContinuousAlternatingMap.restrictScalarsCLM_apply, RCLike.ofReal_nonpos, NumberField.mixedEmbedding.continuous_normAtPlace, Asymptotics.IsLittleOTVS.bot, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, ContinuousLinearMap.isBigOTVS_comp, PadicAlgCl.valuation_def, hfdifferential_apply, MeasureTheory.Integrable.inner_const, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, Complex.closure_reProdIm, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Real.hasDerivAt_fourierChar, AnalyticOnNhd.fderiv, span_fourierLp_closure_eq_top, hasDerivAt_intCast, Orientation.kahler_rotation_left, multipliable_sineTerm, HasFDerivWithinAt.sub, Seminorm.absorbent_ball_zero, LindemannWeierstrass.integral_exp_mul_eval, HasFDerivAtFilter.fun_neg, PiTensorProduct.liftIsometry_symm_apply, nnnorm_cfcₙHom, ModularFormClass.hasSum_qExpansion_of_abs_lt, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, Complex.isUniformEmbedding_ofReal, Complex.conjCLE_enorm, InnerProductSpace.Core.inner_mul_symm_re_eq_norm, MeasureTheory.integral_fin_nat_prod_eq_prod, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, completeSpace_iff_isComplete_closedBall, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, DirichletCharacter.LSeries_eulerProduct_hasProd, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.inner_, HasFPowerSeriesAt.const_smul, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, iteratedFDeriv_succ_eq_comp_right, Complex.hasSum_conj, ContinuousMultilinearMap.changeOriginSeries_support, PeriodPair.deriv_derivWeierstrassPExcept_self, curveIntegralFun_sub, Asymptotics.isBigOTVS_fun_comm, RCLike.ofReal_one, ContDiffMapSupportedIn.seminorm_apply, RCLike.toIsOrderedAddMonoid, OrthogonalFamily.eq_ite, Complex.hasStrictDerivAt_exp, WithSeminorms.tendsto_nhds_atTop, logDeriv_inv, Continuous.inner, Real.enorm_exp_I_mul_ofReal_sub_one_le, MeasureTheory.lpNorm_const_smul, Seminorm.smul_closedBall_subset, Padic.denseRange_ratCast, DoubleCentralizer.algebraMap_fst, differentiableOn_euclidean, RCLike.reLm_coe, hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, HasStrictFDerivAt.approximates_deriv_on_open_nhds, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, ContinuousMultilinearMap.nnnorm_ofSubsingleton, inner_smul_real_left, ContDiffOn.fderivWithin, RCLike.natCast_im, tsum_prod_pow_eq_tsum_sigma, PadicAlgCl.valuation_coe, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, MeasureTheory.integrable_condExpL2_indicator, Real.hasDerivAt_Gamma_one_half, toSpanSingleton_derivWithin, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, ContinuousLinearMap.isEmbedding_restrictScalars, PadicComplex.coe_zero, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, RCLike.nnnorm_conj, SchwartzMap.integral_fourier_mul_eq, HasFiniteFPowerSeriesOnBall.eq_partialSum', continuousAt_cpow_const, GaussianFourier.tendsto_verticalIntegral, coe_lpBCFₗᵢ_symm, MeromorphicOn.eventually_analyticAt_or_mem_compl, coe_lpPiLpₗᵢ_symm, IsBoundedBilinearMap.toContinuousLinearMap_apply, Bornology.isVonNBounded_sub, HasFPowerSeriesOnBall.pi, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, HasFPowerSeriesWithinOnBall.fderivWithin_eq, Complex.UnitDisc.continuous_coe, ContinuousMultilinearMap.piₗᵢ_symm_apply, RCLike.wInner_one_const_right, Commute.cfc, AlgHom.coe_toContinuousLinearMap, Matrix.posSemidef_iff_eq_sum_vecMulVec, NumberField.linearDisjoint_of_isGalois_isCoprime_discr, SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, differentiableAt_const_cpow_of_neZero, tsum_dirichletSummand, Filter.Tendsto.isVonNBounded_range, ContinuousAffineMap.fderivWithin, SchwartzMap.integralCLM_apply, linearEquiv_det_rotation, MeasureTheory.lpNorm_one, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, PolynormableSpace.withSeminorms', RCLike.norm_two, hasDerivAt_one, Complex.dist_conj_conj, circleIntegrable_sub_zpow_iff, FormalMultilinearSeries.radius_shift, Polynomial.fourierCoeff_toAddCircle_natCast, nnnorm_algebraMap', RCLike.norm_sq_re_conj_add, Complex.conjCLE_apply, ContinuousMap.spectrum_eq_range, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, EuclideanSpace.inner_basisFun_real, Valued.integer.exists_nnnorm_lt_one, innerSLFlip_apply, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, LinearMap.mkContinuous_norm_le, ContinuousMultilinearMap.hasBasis_nhds_zero_of_basis, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, fderivWithin_derivWithin, hasDerivAt_const_mul, RCLike.sqrt_neg_I, hasLineDerivAt_iff_tendsto_slope_zero, Circle.coe_eq_one, InnerProductSpace.toContinuousLinearMap_toDualMap, Complex.differentiable_one_div_Gamma, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', Valued.integer.properSpace_iff_compactSpace_integer, InnerProductSpace.Core.inner_sub_left, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, IsSelfAdjoint.commute_cfcₙHom, completeSpace_of_cauSeq_isComplete, HasFDerivAt.fun_neg, inner_eq_ofReal_norm_sq_left_iff, contDiff_nat_iff_continuous_differentiable, ContinuousAlternatingMap.hasBasis_nhds_zero_of_basis, absorbent_ball, UpperHalfPlane.cosh_half_dist, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, Submodule.topologicalClosure_eq_top_iff, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, DirichletCharacter.LSeries_eulerProduct_exp_log, mdifferentiableOn_coordChangeL, HasFiniteFPowerSeriesOnBall.add, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, Function.RCLike.hasTemperateGrowth_ofReal, Polynomial.hasDerivAt, Complex.not_differentiableAt_Gamma_zero, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, MeasureTheory.Integrable.ofReal, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, ContinuousLinearMap.opNorm_lsmul_le, MeromorphicNFAt.eventuallyEq_nhdsNE_iff_eventuallyEq_nhds, RCLike.conj_I, OrthonormalBasis.repr_symm_single, Real.fourierChar_apply, NumberField.canonicalEmbedding.norm_le_iff, MultilinearMap.mkContinuousMultilinear_norm_le, WeakDual.CharacterSpace.norm_le_norm_one, contDiff_inner, Matrix.linfty_opNorm_toMatrix, hasDerivAt_natCast, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, Seminorm.rescale_to_shell, ProbabilityTheory.differentiableOn_complexMGF, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, AffineIsometryEquiv.toAffineEquiv_injective, closedBall_normSeminorm, Real.hasStrictDerivAt_cos, PeriodPair.deriv_weierstrassPExcept_same, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, ContinuousLinearMap.coe_restrictScalarsL, Function.Periodic.qParam_tendsto, continuousAt_jacobiTheta, iter_deriv_inv, PeriodPair.analyticOnNhd_derivWeierstrassP, Matrix.frobenius_norm_mul, Complex.Gammaℝ_residue_zero, Matrix.star_dotProduct_gram_mulVec, ContinuousLinearMap.norm_compL_le, integrableOn_Ioi_cpow_of_lt, RCLike.hasSum_iff, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, SeminormFamily.withSeminorms_iff_nhds_eq_iInf, ContMDiffVectorBundle.contMDiffOn_coordChangeL, EulerSine.antideriv_cos_comp_const_mul, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.inv_def, Complex.instTietzeExtension, Bornology.isVonNBounded_add, RCLike.sqrt_I, HasFPowerSeriesAt.sub, ProperSpace.of_locallyCompact_module, HasStrictFDerivAt.fun_neg, hasDerivWithinAt_zpow, OrthogonalFamily.range_linearIsometry, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, NumberField.mixedEmbedding.convexBodyLT_convex, Complex.instT2Space, Monotone.deriv_nonneg, UpperHalfPlane.exp_half_dist, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, v_eq_valuation, Orientation.kahler_mul, GaussianFourier.integral_cexp_neg_mul_sum_add, Complex.continuous_ofReal_cpow_const, RCLike.nnnorm_two, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, TensorProduct.norm_lid, MeasureTheory.lpTrimToLpMeas_ae_eq, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, AffineIsometry.toContinuousAffineMap_injective, Matrix.instIsOrderedAddMonoid, Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero, NormedAlgebra.Real.nonempty_algEquiv_or, HurwitzZeta.differentiableAt_completedCosZeta, fourier_neg, spectralAlgNorm_of_finiteDimensional_normal_def, Submodule.IsOrtho.inner_eq, LSeries.tendsto_cpow_mul_atTop, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, norm_cfc_le, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, EuclideanGeometry.orthogonalProjection_orthogonalProjection, iter_deriv_inv', toMatrix_innerSL_apply, ClosedSubmodule.sInf_orthogonal, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, HasStrictFDerivAt.isBigOTVS_sub, MeasureTheory.lpNorm_div_natCast, Polynomial.isBoundedUnder_abs_atTop_iff, Complex.sinh_eq_tsum, balanced_closedBall_zero, continuousAt_jacobiTheta₂, HurwitzZeta.hasSum_nat_hurwitzZetaEven_of_mem_Icc, instSMulCommClass_sphere_ball_ball, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MDifferentiableAt.coordChangeL, Polynomial.isOpenQuotientMap_eval, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, dist_left_lineMap, EulerSine.antideriv_sin_comp_const_mul, ContinuousLinearMap.norm_restrictScalars, Complex.differentiableAt_cosh, coe_normSeminorm, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, cosetToCuspOrbit_apply_mk, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, NormedSpace.sInter_polar_eq_closedBall, Complex.differentiableAt_Gamma_nat_add_one, TemperedDistribution.instFourierInvSMul, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_dist_eq, Complex.deriv_cos', Complex.imCLM_coe, lp.hasSum_inner, isBoundedBilinearMap_inner, RCLike.ofReal_pos, Complex.isQuotientMap_im, DoubleCentralizer.coe_eq_algebraMap, ContinuousLinearMap.opNorm_mul_apply_le, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, RCLike.wInner_zero_left, Polynomial.aeval_ofReal, deriv_pow_field, ZSpan.repr_fract_apply, ContinuousLinearMap.orthogonal_range, HasFiniteFPowerSeriesAt.add, MeromorphicOn.min_divisor_le_divisor_add, deriv_comp_neg, ContinuousLinearMap.isThetaTVS_comp, instSymmEqInnerOfNat, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, MeasureTheory.stronglyMeasurable_charFun, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, hasDerivAt_gronwallBound, hasDerivWithinAt_const_add_iff, Complex.continuous_ofReal, Orientation.kahler_map, isBigO_deriv_ofReal_cpow_const_atTop, MeasureTheory.convolutionExistsAt_iff_integrable_swap, Complex.not_continuousAt_Gamma_neg_nat, Polynomial.C_eq_or_isOpenQuotientMap_eval, hasDerivAt_ofReal_cpow_const, Polynomial.X_pow_sub_X_sub_one_irreducible_rat, hasDerivAt_norm_rpow, UnitAddTorus.hasSum_prod_mFourierCoeff, OrthonormalBasis.span_apply, Padic.withValUniformEquiv_cast_apply, inner_sub_right, NumberField.mixedEmbedding.latticeBasis_apply, LeftInvariantDerivation.map_sub, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, spectrum.exp_mem_exp, ContinuousLinearMap.isPositive_iff, Unitization.isUniformEmbedding_addEquiv, ContinuousMultilinearMap.compContinuousLinearMapL_apply, InnerProductSpace.Core.inner_add_right, Seminorm.smul_closedBall_preimage, TemperedDistribution.fourierInv_apply, MeromorphicOn.extract_zeros_poles, ContinuousLinearMap.norm_bilinearRestrictScalars, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, RCLike.inv_pos, ContinuousLinearMap.nhds_zero_eq, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, ContinuousMap.adjoin_id_eq_span_one_add, LeftInvariantDerivation.map_neg, Complex.sin_eq_tsum, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, ProbabilityTheory.covarianceBilin_map, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, RCLike.real_smul_ofReal, differentiableAt_jacobiTheta₂_snd, cfcₙ_norm_sq_nonneg, Padic.coe_withValRingEquiv, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, HasFPowerSeriesWithinOnBall.neg, NumberField.mixedEmbedding.measurable_polarCoord_symm, norm_deriv_eq_norm_fderiv, IsUltrametricDist.normedAlgebra_iff, LSeries.tendsto_atTop, NumberField.InfinitePlace.Completion.extensionEmbedding_of_isReal_coe, ContinuousLinearMap.bilinearComp_zero_left, one_add_cpow_hasFPowerSeriesOnBall_zero, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, hasFPowerSeriesWithinOnBall_pi_iff, hasDerivAt_zero, SchwartzMap.fderivCLM_fourier_eq, ContinuousMultilinearMap.instContinuousSMul, Complex.hasSum_conj', MeasureTheory.L2.mem_L1_inner, withSeminorms_pi, Complex.isOpen_im_lt_EReal, SchwartzMap.derivCLM_apply, ContDiffAt.fderiv, Matrix.toLin_finTwoProd_toContinuousLinearMap, EuclideanGeometry.Sphere.orthRadius_map, Circle.coe_inv, RCLike.map_nonneg_iff, Polynomial.supNorm_le_choose_natDegree_div_two_mul_mahlerMeasure, MeromorphicOn.negPart_divisor_add_le_max, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, Complex.hasStrictDerivAt_cpow_const, AffineSubspace.subtypeₐᵢ_linearIsometry, WithAbs.isUniformInducing_of_comp, RCLike.I_mul_re, mellin_differentiableAt_of_isBigO_rpow_exp, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', differentiable_neg, RCLike.wInner_neg_left, deriv_comp_mul_left, hasDerivAt_neg, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, PiTensorProduct.norm_eval_le_projectiveSeminorm, iteratedFDeriv_zero_eq_comp, hasFTaylorSeriesUpToOn_succ_iff_left, WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded, Padic.isUniformInducing_cast_withVal, Complex.hasSum_taylorSeries_neg_log, Polynomial.hasStrictDerivAt, VectorFourier.integral_bilin_fourierIntegral_eq_flip, Real.hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, HasFPowerSeriesWithinOnBall.add, Commute.cfcₙ, NumberField.mixedEmbedding.logMap_real, contDiffOn_succ_iff_fderivWithin, NumberField.mixedEmbedding.commMap_apply_of_isReal, EuclideanGeometry.Sphere.IsTangent.isTangentAt, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, Polynomial.cyclotomic.irreducible_rat, NormedSpace.of_real_exp_ℝ_ℝ, ContinuousLinearMap.adjointAux_inner_right, HasDerivWithinAt.Ioi_iff_Ioo, NumberField.mixedEmbedding.polarCoord_apply, TemperedDistribution.instLineDerivSMulComplex, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, euler_sineTerm_tprod, LinearMap.polar_subMulAction, HilbertBasis.repr_self, discreteTopology_of_bddAbove_range_norm, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', fderivWithin_sub, spectralNorm.spectralMulAlgNorm_eq_of_mem_roots, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.condExpInd_smul', InnerProductSpace.Core.inner_self_of_eq_zero, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, ContDiffWithinAt.fderivWithin, ContDiffMapSupportedIn.continuousSMul, Real.hasStrictDerivAt_sin, StrongDual.zero_mem_polar, Subalgebra.frontier_spectrum, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, Complex.log_eq_integral, Complex.equivRealProdCLM_symm_apply_re, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, UpperHalfPlane.sinh_half_dist_add_dist, HasFDerivAtFilter.isLittleOTVS, NumberField.mixedEmbedding.continuous_normAtAllPlaces, iteratedDerivWithin_eq_equiv_comp, HasFDerivAt.const_sub, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, IsCompact.reProdIm, WithAbs.pseudoMetricSpace_induced_of_comp, BoundedContinuousFunction.toLp_norm_le, MeasureTheory.charFun_map_mul, iteratedFDerivWithin_two_apply, extDerivWithin_smul, Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, inner_mul_symm_re_eq_norm, DoubleCentralizer.coe_fst, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, HurwitzZeta.differentiable_cosZeta_of_ne_zero, curveIntegral_fun_sub, ContDiffWithinAt.inner, PadicComplex.norm_extends, NumberField.mixedEmbedding.latticeBasis_repr_apply, Submodule.adjoint_orthogonalProjection, Filter.HasBasis.isBigOTVS_iff, Complex.deriv_cpow_const, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime, EuclideanGeometry.reflection_apply', iteratedDeriv_comp_add_const, instCompletableTopField, SchwartzMap.integral_fourierInv_mul_eq, hasFDerivWithinAt_iff_hasGradientWithinAt, CurveIntegrable.smul, AffineIsometryEquiv.ofEq_rfl, ContinuousAffineMap.differentiableOn, ContinuousLinearMap.hasFDerivAt_of_bilinear, Polynomial.abs_tendsto_atBot, FormalMultilinearSeries.min_radius_le_radius_add, hasStrictDerivAt_one, Unitization.instNormOneClass, Complex.summable_one_div_nat_cpow, EuclideanGeometry.oangle_self_orthogonalProjection, ContinuousAffineMap.norm_comp_le, Complex.nndist_conj_comm, ContinuousLinearMap.closed_range_of_antilipschitz, LinearMap.IsPositive.inner_nonneg_right, Matrix.toEuclideanLin_apply_piLp_toLp, PadicSeq.add_eq_max_of_ne, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, logDeriv_prod_sineTerm_eq_sum_cotTerm, Complex.differentiableAt_Gamma_one, Real.differentiable_fourierChar, InnerProductSpace.inner_gramSchmidtOrthonormalBasis_eq_zero, ContinuousAlternatingMap.curryLeft_add, NumberField.AdeleRing.algebraMap_fst_apply, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', RCLike.mul_im, Seminorm.smul_ball_preimage, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, LinearIsometry.strictConvexSpace_range_iff, mdifferentiable_jacobiTheta, Matrix.linfty_opNorm_eq_opNorm, Affine.Simplex.altitude_map, ContinuousAlternatingMap.prodLIE_apply, Submodule.mem_orthogonal_singleton_iff_inner_left, RCLike.ofReal_tsum, hasDerivAt_pow, contDiff_succ_iff_deriv, Submodule.mem_adjoint_iff, Complex.instProperSpace, inner_eq_zero_symm, CPolynomialOn.fderiv, Function.FactorizedRational.extractFactor, EuclideanSpace.dist_eq, NumberField.mixedEmbedding.normAtPlace_negAt, Complex.nndist_conj_conj, Polynomial.div_tendsto_atTop_zero_of_degree_lt, SchwartzMap.convolution_flip, Orthonormal.orthogonalFamily, AffineIsometry.toAffineMap_injective, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, AffineIsometryEquiv.toAffineEquiv_refl, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, LinearMap.isSymmetric_iff_sesqForm, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, logDeriv_const_mul, Complex.isometryOfOrthonormal_apply, IsConformalMap.smul, nndist_lineMap_lineMap, isCoveringMap_npow, Complex.frontier_setOf_le_re_and_le_im, Complex.sameRay_iff, Complex.instContinuousMapUniqueHom, Circle.normSq_coe, Real.hasStrictDerivAt_sqrt, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular, Complex.hasDerivAt_Gamma_one, NumberField.mixedEmbedding.normAtPlace_smul, PeriodPair.hasSum_weierstrassPExcept, intervalIntegral.integral_smul_const, Polynomial.deriv, FormalMultilinearSeries.derivSeries_eq_zero, HilbertBasis.summable_inner_mul_inner, Polynomial.div_tendsto_zero_of_degree_lt, NumberField.mixedEmbedding.fundamentalCone.isBounded_normLeOne, ContinuousLinearMap.isPositive_iff', ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, Real.hasDerivAt_tan_of_mem_Ioo, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, NumberField.mixedEmbedding.finrank, ContinuousLinearMap.star_eq_adjoint, SchwartzMap.integral_fourier_smul_eq, AffineMap.differentiableOn, Complex.imCLM_nnnorm, ContinuousMultilinearMap.curryLeft_apply, AlgHom.toContinuousLinearMap_norm, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, HasFPowerSeriesWithinAt.neg, UpperHalfPlane.contMDiffAt_ofComplex, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, ModularForm.prod_fintype_slash, GaussianFourier.integral_cexp_neg_sum_mul_add, PadicInt.isCauSeq_padicNorm_of_pow_dvd_sub, derivWithin_comp_add_const, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, Asymptotics.isThetaTVS_comm, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, RCLike.wInner_one_const_left, circleIntegrable_sub_inv_iff, AlternatingMap.mkContinuousLinear_norm_le, ModularFormClass.bounded_at_infty_comp_ofComplex, ProperCone.hyperplane_separation_of_notMem, OrthonormalBasis.inner_eq_one, NumberField.mixedEmbedding.convexBodySum_isBounded, RCLike.ofReal_mul_neg_iff, LinearMap.continuous_of_isClosed_ker, orthogonalFamily_iff_pairwise, Complex.sameRay_iff_arg_div_eq_zero, Complex.arg_eq_nhds_of_im_pos, ModularForm.holo', FormalMultilinearSeries.radius_le_radius_derivSeries, ContinuousAlternatingMap.curryLeftLI_apply, deriv_comp_const_add, eventuallyConst_iff_analyticOrderAt_sub_eq_top, NumberField.mixedEmbedding.polarSpaceCoord_apply, Real.nonempty_algEquiv_or, Padic.coe_withValRingEquiv_symm, RCLike.norm_sq_re_add_conj, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, Complex.starConvex_slitPlane, ContinuousLinearMap.norm_compSL_le, RCLike.nnnorm_nnqsmul, ContDiffMapSupportedIn.withSeminorms, MeasureTheory.withDensityᵥ_smul, NumberField.mixedEmbedding.negAt_apply_norm_isReal, Bornology.isVonNBounded_vadd, innerₛₗ_apply, deriv_inner_apply, HasFDerivWithinAt.isBigOTVS_sub, Affine.Simplex.orthogonalProjectionSpan_reindex, Complex.log_sub_logTaylor_isBigO, differentiable_completedZeta₀, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, Valued.integer.isUnit_iff_norm_eq_one, ContMDiffMap.smul_comp', fourier_zero', HurwitzZeta.hasSum_int_sinZeta, spectrum.resolvent_tendsto_cobounded, Complex.differentiable_sinh, InnerProductSpace.isIdempotentElem_rankOne_self_iff, fderivWithin_continuousLinearEquiv_comp, ContinuousMultilinearMap.toUniformOnFun_toFun, Polynomial.abs_isBoundedUnder_iff, ZMod.toCircle_intCast, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, div_le_egauge_ball, hasDerivAtFilter_pi, MeasureTheory.inner_condExpL2_eq_inner_fun, StrongDual.toLp_apply, StrongDual.polar_empty, ArithmeticFunction.LSeries_zeta_eulerProduct_exp_log, ContinuousLinearMap.coe_flipₗᵢ, HasGradientAtFilter.tendsto_nhds, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, ZMod.toCircle_natCast, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, ModularFormClass.hasSum_qExpansion_of_norm_lt, MeasureTheory.mem_lpMeas_self, ContMDiffAt.mfderiv, Complex.volume_ball, ContinuousLinearMap.IsPositive.spectrumRestricts, Real.deriv_fourierChar, OrthonormalBasis.sum_repr, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, cpow_eq_nhds', MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, Bornology.isVonNBounded_insert, hasDerivWithinAt_abs_neg, StieltjesFunction.ae_hasDerivAt, InnerProductSpaceable.innerProp, instSMulCommClass_closedBall_closedBall_ball, jacobiTheta_eq_tsum_nat, LinearIsometry.strictConvexSpace_range, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, ContinuousLinearMap.opNorm_neg, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, Complex.UnitDisc.instSMulCommClass_circle_closedBall, Complex.differentiable_iteratedDeriv_sinh, FormalMultilinearSeries.changeOrigin_eval, Unitization.nndist_inr, LSeries.term_sum_apply, LinearMap.toSeminorm_ball_zero, Complex.nnnorm_intCast, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding_of_isReal, Submodule.fstL_comp_coe_orthogonalDecomposition, UpperHalfPlane.contMDiffAt_iff, iter_deriv_inv_linear_sub, Orientation.kahler_apply_apply, RCLike.imCLM_coe, ContinuousLinearMap.add_compLpL, Complex.nhdsWithin_stolzCone_le_nhdsWithin_stolzSet, IsHilbertSum.linearIsometryEquiv_symm_apply_single, IsSelfAdjoint.adjoint_conj, closedAbsConvexHull_eq_closure_absConvexHull, UnitAddTorus.mFourierBasis_repr, Complex.differentiableAt_sinh, HasDerivAt.inner, HasFPowerSeriesAt.prod, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', hasStrictDerivAt_natCast, Complex.hasDerivAt_Gamma_one_half, Function.Periodic.differentiable_qParam, VectorPrebundle.contMDiffOn_contMDiffCoordChange, Complex.continuous_tan, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, LeftInvariantDerivation.toDerivation_injective, PeriodPair.differentiableOn_weierstrassPExcept, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, MeasureTheory.lpNorm_natCast_mul, AlternatingMap.mkContinuousAlternating_norm_le_max, DoubleCentralizer.natCast_toProd, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, Complex.conjCLE_norm, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, SchwartzMap.seminorm_apply, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', MeasureTheory.Lp.toTemperedDistribution_toLp_eq, Complex.differentiableAt_log, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, differentiableAt_completedZeta, AffineSubspace.signedInfDist_def, isScalarTower_sphere_ball_ball, PeriodPair.derivWeierstrassPExcept_add_coe, iteratedDeriv_id, PadicInt.nthHomSeq_add, HasFPowerSeriesWithinAt.add, MeasureTheory.BoundedContinuousFunction.inner_toLp, PadicComplex.rankOne_hom_eq, Complex.isQuotientMap_re, ContinuousLinearMap.adjoint_inner_right, Circle.coeHom_apply, exists_extension_norm_eq, Complex.dist_conj_comm, rootsOfUnityCircleEquiv_apply, MeasureTheory.integral_fintype_prod_volume_eq_prod, CuspFormClass.zero_at_infty_slash, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, RCLike.mul_re, LinearMap.isPositive_iff, NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, UnitAddTorus.span_mFourier_closure_eq_top, ContinuousLinearMap.norm_smulRightL_le, MeasureTheory.withDensityᵥ_smul', differentiableAt_iff_restrictScalars, Complex.imCLM_enorm, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, hasDerivAtFilter_const, analyticOrderAt_eq_zero, SchwartzMap.tsupport_derivCLM_subset, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, RCLike.normSq_zero, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, det_rotation, RCLike.enorm_conj, UpperHalfPlane.mdifferentiable_coe, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, Circle.coe_inj, orthonormal_iff_ite, RCLike.wInner_add_left, SchwartzMap.integral_smul_laplacian_right_eq_left, SchwartzMap.le_seminorm', Complex.arg_eq_nhds_of_re_pos, FormalMultilinearSeries.radius_prod_eq_min, ContinuousOn.inner, RCLike.re_le_neg_norm_iff_eq_neg_norm, OrthonormalBasis.coe_equiv_euclideanSpace, summable_cotTerm, RCLike.conjAe_coe, AffineIsometryEquiv.coe_symm_toContinuousAffineEquiv, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, continuousAt_jacobiTheta₂', RCLike.neg_iff_exists_ofReal, RCLike.wInner_one_eq_sum, ContinuousAffineMap.hasFDerivWithinAt, InnerProductSpace.Core.inner_add_add_self, inner_self_eq_one_of_norm_one, ContinuousAlternatingMap.nnnorm_ofSubsingleton, norm_cfcHom, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, EisensteinSeries.eisSummand_extension_differentiableOn, RCLike.to_complex_nonneg_iff, EuclideanSpace.dist_sq_eq, integral_ofReal, HasFiniteFPowerSeriesOnBall.fderiv', RCLike.sqrt_zero, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, Complex.isOpenQuotientMap_pow_compl_zero, ContinuousMultilinearMap.currySum_apply, isOpenMap_barycentric_coord, Affine.Simplex.signedInfDist_affineCombination, Complex.deriv_sinh, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, MeasureTheory.ComplexMeasure.re_apply, Polynomial.differentiableWithinAt_aeval, intervalIntegral.intervalIntegrable_cpow', Complex.deriv_sin, signedDist_apply, UniformSpace.Completion.inner_coe, Unitization.norm_splitMul_snd_sq, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, WeakDual.CharacterSpace.equivAlgHom_coe, EuclideanGeometry.angle_self_orthogonalProjection, Valued.toNormedField.setOf_mem_integer_eq_closedBall, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, fourier_coe_apply', le_egauge_ball_one, EuclideanSpace.inner_toLp_toLp, NumberField.mixedEmbedding.polarSpaceCoord_source, TemperedDistribution.lineDerivOp_fourierInv_eq, RCLike.im_ofReal_mul, Complex.hasSum_taylorSeries_log, fourierCoeffOn_eq_integral, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, Matrix.l2_opNNNorm_diagonal, MeromorphicOn.negPart_divisor_add_le_add, UpperHalfPlane.dist_coe_le, CompactConvergenceCLM.continuousSMul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, spectrum.exists_nnnorm_eq_spectralRadius, ordinaryHypergeometric_radius_top_of_neg_nat₁, hasStrictDerivAt_zero, PeriodPair.hasSum_sumInvPow, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, ContinuousAlternatingMap.alternatizeUncurryFin_add, DirichletCharacter.LFunctionTrivChar_residue_one, Complex.hasDerivAt_tan, ContinuousLinearMap.isBigOTVS_fun_comp, Matrix.instCStarRing, RCLike.normSq_eq_zero, denselyOrdered_range_nnnorm, Complex.lintegral_comp_pi_polarCoord_symm, RCLike.instOrderClosedTopology, FormalMultilinearSeries.coeff_iterate_fslope, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOn, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, conformalAt_iff_differentiableAt_or_differentiableAt_comp_conj, Filter.Tendsto.inner, MeasureTheory.Integrable.const_inner, hasStrictDerivAt_exp_smul_const_of_mem_ball', rotation_symm, LSeriesHasSum.sum, Unitization.antilipschitzWith_addEquiv, ContinuousLinearMap.extendTo𝕜'_apply, derivWithin_comp_sub_const, continuous_descPochhammer_eval, IsLocalFrameOn.coeff_eq_of_eq, ContinuousLinearMap.isAdjointPair_inner, Complex.equivRealProdCLM_symm_apply_im, AddChar.linearIndependent, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_apply, RCLike.instPosMulReflectLE, Complex.polarCoord_symm_apply, nndist_homothety_center, AnalyticOnNhd.is_constant_or_isOpen, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, UnitAddTorus.mFourier_single, Real.hasFDerivAt_fourierChar_neg_bilinear_right, EuclideanGeometry.orthogonalProjection_eq_self_iff, summable_bernoulli_fourier, ModularFormClass.differentiableOn_cuspFunction_ball, Padic.norm_rat_le_one_iff_padicValuation_le_one, Unitization.splitMul_injective, Antitone.deriv_nonpos, ZMod.differentiable_completedLFunction₀, ContDiffMapSupportedIn.continuous_iff_comp, EuclideanGeometry.reflection_subtype, PeriodPair.periodic_weierstrassP, DoubleCentralizer.sub_snd, ModularFormClass.holo, RCLike.ofReal_im_ax, ZMod.toCircle_apply, Polynomial.differentiable, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, PadicInt.isOpenEmbedding_coe, ContinuousLinearEquiv.coord_norm', completedRiemannZeta_residue_one, ContinuousLinearMap.nnnorm_id, GaussianFourier.integrable_cexp_neg_sum_mul_add, absConvexHull_eq_convexHull_balancedHull, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, Complex.hasSum_sinh, Rat.surjective_padicValuation, div_le_egauge_closedBall, NumberField.mixedEmbedding.polarCoord_target_eq_polarCoordReal_target, hasStrictFDerivAt_inv', AffineIsometryEquiv.coe_vaddConst', LinearMap.mem_span_iff_bound, Circle.arg_exp, WithSeminorms.partial_sups, hasDerivAt_mul_const, Submodule.snd_orthogonalDecomposition_apply, TemperedDistribution.smulLeftCLM_const, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, cfcₙ_apply_mem_elemental, Module.Basis.ofZLatticeBasis_repr_apply, dist_midpoint_midpoint_le', iteratedDeriv_fun_pow_zero, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, dist_algebraMap, SchwartzMap.fourier_convolution_apply, UpperHalfPlane.sinh_half_dist, Seminorm.smul_ball_zero, Complex.hasStrictFDerivAt_log_real, Complex.differentiableAt_Gamma, Asymptotics.isBigOTVS_map, iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, Real.hasStrictDerivAt_tan, AffineSubspace.isometryEquivMap.apply_symm_apply, RCLike.instNormSMulClassInt, ContDiffAt.inner, IsUltrametricDist.isNonarchimedean_algNormOfAlgEquiv, UpperHalfPlane.dist_le_iff_le_sinh, RCLike.wInner_cWeight_const_right, TemperedDistribution.smulLeftCLM_sum, NumberField.InfinitePlace.Completion.WithAbs.ratCast_equiv, iter_deriv_inv_linear, HurwitzZeta.differentiableAt_cosZeta, AffineMap.differentiable, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, WeakDual.toStrongDual_apply, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, PadicInt.nthHomSeq_one, instPerfectSpace, Complex.arg_eq_nhds_of_re_neg_of_im_pos, Real.differentiable_fourierChar_neg_bilinear_left, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, EisensteinSeries.summable_linear_right_add_one_mul_linear_right, IsUltrametricDist.isPowMul_algNormOfAlgEquiv, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, IsSelfAdjoint.commute_cfcₙ, PadicAlgCl.instIsUltrametricDist, FormalMultilinearSeries.le_radius_pi, Quaternion.coe_ofComplex, Real.hasDerivAt_arctan, continuousMultilinearCurryLeftEquiv_symm_apply, WithLp.unitization_mul, hasDerivAt_exp_smul_const', dist_right_lineMap, DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, Complex.betaIntegral_convergent_left, hasSum_one_div_pow_mul_fourier_mul_bernoulliFun, Complex.continuousAt_cpow_of_re_pos, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, EuclideanSpace.nnnorm_eq, innerₛₗ_apply_coe, MeasureTheory.SignedMeasure.toComplexMeasure_apply_im, ContinuousLinearMap.isUniformEmbedding_toUniformOnFun, RCLike.nnnorm_natCast, Complex.sin_eq_tsum', PiLp.inner_apply, mellin_differentiableAt_of_isBigO_rpow, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, Complex.reCLM_norm, Complex.im_eq_zero_iff_isSelfAdjoint, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, UpperHalfPlane.dist_coe_center_sq, ContinuousLinearMap.smul_compLpL, AddChar.wInner_cWeight_eq_boole, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, differentiableAt_of_deriv_ne_zero, ZMod.LFunction_residue_one, contMDiffOn_coordChangeL, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, PadicSeq.norm_const, NumberField.mixedEmbedding.convexBodySum_convex, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, PeriodPair.mul_ω₁_add_mul_ω₂_mem_lattice, range_cfcHom, ContinuousLinearMap.opNorm_mulLeftRight_le, DoubleCentralizer.intCast_fst, Circle.coe_exp, convex_halfSpace_im_le, RCLike.re_ofReal_mul, ClosedSubmodule.orthogonal_closure, ContinuousLinearMap.norm_compLpL_le, meromorphicOrderAt_const_intCast, riemannZeta_eulerProduct_tprod, LinearMap.toSeminormFamily_apply, PadicSeq.norm_one, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, cpow_eq_nhds, hasGradientWithinAt_iff_tendsto, InnerProductSpace.add_left, ContDiffMapSupportedIn.structureMapCLM_zero_injective, EuclideanSpace.inner_single_right, TemperedDistribution.fourier_apply, RCLike.iInter_halfSpaces_eq, StrongDual.polar_zero, ContinuousMultilinearMap.piₗᵢ_apply, nnnorm_cfcHom, Module.Basis.opNNNorm_le, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, Real.deriv_arcsin_aux, Complex.differentiable_cosh, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, Complex.tendsto_log_nhdsWithin_im_nonneg_of_re_neg_of_im_zero, fourier_add', RCLike.continuous_im, norm_iteratedFDerivWithin_fderivWithin, AffineIsometryEquiv.norm_map, MeasureTheory.Integrable.fourier_smul, LinearMap.coe_toContinuousLinearMap_symm, Complex.frontier_setOf_le_re_and_im_le, continuousMultilinearCurryFin1_symm_apply, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, Complex.continuousAt_Gamma, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, RCLike.normSq_add, MeasureTheory.eLpNorm_condExpL2_le, ContinuousLinearMap.lsmul_flip_apply, closure_diff_intrinsicInterior, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, Complex.differentiable_iteratedDeriv_cos, ContinuousLinearEquiv.coord_self, sub_smul_dslope, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, riemannZeta_residue_one, RCLike.geometric_hahn_banach_compact_closed, SchwartzMap.smulLeftCLM_ofReal, Complex.ofReal_tsum, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, ContDiffAt.differentiableAt_iteratedFDeriv, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, MeasureTheory.lpNorm_one', ContinuousLinearMap.norm_map_iff_adjoint_comp_self, AddChar.coe_complexBasis, Matrix.toEuclideanLin_eq_toLin_orthonormal, Polynomial.toAddCircle_X_eq_fourier_one, isTheta_deriv_ofReal_cpow_const_atTop, MeasureTheory.lpMeasToLpTrim_smul, Real.hasStrictDerivAt_const_rpow, Complex.differentiable_cos, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, RCLike.geometric_hahn_banach_point_closed, hasDerivWithinAt_intCast, differentiableWithinAt_zpow, CircleIntegrable.out, RCLike.intervalIntegral_ofReal, UniformSpace.Completion.continuous_inner, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, NormedSpace.expSeries_hasSum_exp_of_mem_ball', HasFPowerSeriesWithinAt.compContinuousLinearMap, ContinuousMultilinearMap.norm_smulRight, EuclideanGeometry.orthogonalProjection_apply, LSeries_hasDerivAt, instSMulCommClass_sphere_closedBall_ball, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, LeftInvariantDerivation.commutator_apply, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, UpperHalfPlane.mdifferentiableAt_iff, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, OrthonormalBasis.coe_singleton, noncompactSpace, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, Matrix.l2_opNNNorm_conjTranspose_mul_self, NumberField.canonicalEmbedding_eq_basisMatrix_mulVec, fderiv_comp_smul, integrable_cexp_quadratic, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, Complex.image_exp_Ioc_eq_sphere, ContinuousLinearMap.opNorm_lsmul, EuclideanGeometry.orthogonalProjection_mem_orthogonal, coe_innerₛₗ_apply, isCoveringMapOn_zpow, PadicSeq.norm_zero_iff, FormalMultilinearSeries.norm_changeOriginSeriesTerm, HurwitzZeta.completedHurwitzZetaEven_residue_zero, TemperedDistribution.smulLeftCLM_smul, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, ContinuousWithinAt.inner, Module.Basis.continuous_coe_repr, Unitization.uniformity_eq_aux, isScalarTower_closedBall_closedBall_ball, hasDerivAt_exp_zero, HasFTaylorSeriesUpTo.zero_eq', deriv_circleMap_eq_zero_iff, Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, HurwitzZeta.tendsto_hurwitzZeta_sub_one_div_nhds_one, InnerProductSpace.continuousLinearMapOfBilin_apply, Circle.toUnits_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, NormedSpace.double_dual_bound, instFieldContMDiffRing, hasGradientWithinAt_iff_isLittleO, Matrix.cstar_norm_def, CStarAlgebra.toStarModule, spectralAlgNorm_isPowMul, PointwiseConvergenceCLM.withSeminorms, PeriodPair.indep, UpperHalfPlane.tanh_half_dist, MeasureTheory.convolution_eq_swap, Module.Basis.opNorm_le, AffineIsometryEquiv.toAffineEquiv_symm, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, ContDiff.fderiv_right, hasDerivAt_const_add_iff, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, HasFPowerSeriesWithinOnBall.tendsto_partialSum, RCLike.conj_eq_re_sub_im, ContDiffMapSupportedIn.withSeminorms', ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, DFinsupp.inner_sum, SchwartzMap.tsum_eq_tsum_fourierIntegral, Orientation.kahler_rightAngleRotation_right, ZSpan.repr_floor_apply, MeromorphicOn.divisor_def, WeakDual.isSeqCompact_polar, inner_matrix_row_row, MeasureTheory.condExpIndSMul_ae_eq_smul, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, MeasureTheory.intervalIntegrable_charFun, ContinuousMap.idealOf_compl_singleton_isMaximal, Complex.arg_eq_nhds_of_re_neg_of_im_neg, PiTensorProduct.injectiveSeminorm_tprod_le, lipschitzWith_lineMap, Complex.hasSum_arctan, ContinuousLinearMap.norm_holderL_le, fourier_add, logDeriv_mul_const, PolynormableSpace.withSeminorms, contDiff_infty_iff_fderiv, MeasureTheory.charFun_eq_integral_innerProbChar, valuation_apply, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Asymptotics.isBigOTVS_prodMk_left, MeasureTheory.lpMeas.ae_fin_strongly_measurable', Unitization.lipschitzWith_addEquiv, gaugeSeminormFamily_ball, hasStrictDerivAt_id, curveIntegral_sub, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, HasGradientAt.fderiv_apply, TemperedDistribution.derivCLM_apply_apply, Complex.hasDerivAt_exp, HurwitzZeta.hasSum_int_completedCosZeta, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, deriv_neg, AffineIsometryEquiv.toContinuousAffineEquiv_injective, Complex.hasSum_cosh, RCLike.tendsto_ofReal_atBot_cobounded, LeftInvariantDerivation.ext_iff, Complex.frontier_setOf_lt_re, Orientation.norm_kahler, dist_midpoint_left, NumberField.mixedEmbedding.disjoint_span_commMap_ker, MeromorphicOn.countable_compl_analyticAt, Complex.conj_tsum, Polynomial.hasFDerivWithinAt, MeasureTheory.condExpIndSMul_smul', LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, Real.hasStrictDerivAt_rpow_const, Matrix.instStarOrderedRing, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, CurveIntegrable.sub, HasFiniteFPowerSeriesOnBall.fderiv_eq, PreInnerProductSpace.Core.add_left, ModularForm.coe_trace, integrable_mul_cexp_neg_mul_sq, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, Valued.integer.norm_coe_unit, Complex.frontier_setOf_le_im, Complex.hasDerivAt_log_sub_logTaylor, Complex.GammaIntegral_convergent, hasStrictDerivAt_iff_hasStrictFDerivAt, MeasureTheory.hausdorffMeasure_homothety_preimage, WithSeminorms.isVonNBounded_iff_seminorm_bounded, hasDerivAt_iff_tendsto_slope, ContinuousLinearMap.analyticAt_bilinear, Complex.isOpenMap_exp, ConvexOn.exists_affine_le_of_lt, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, WithSeminorms.hasBasis, MeasureTheory.integral_prod_smul, inner_sub_sub_self, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, AddChar.complexBasis_apply, isBoundedLinearMap_continuousMultilinearMap_comp_linear, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, innerSL_apply_coe, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, hasStrictDerivAt_exp_smul_const_of_mem_ball, tendsto_algebraMap_cobounded, Real.probChar_apply, StrongDual.polar_singleton, Real.hasDerivAt_Gamma_nat, ordinaryHypergeometricSeries_norm_div_succ_norm, HasStrictFDerivAt.inner, hasDerivAt_pi, nndist_right_midpoint, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, dist_algebraMap', hasFDerivAt_inv', LinearMap.toMatrix_adjoint, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, tendsto_euler_sin_prod', hasDerivWithinAt_finCons, inner_eq_one_iff_of_norm_one, ProbabilityTheory.charFun_gaussianReal, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, exists_continuousLinearEquiv_fderiv_symm_eq, Complex.polarCoord_target, RCLike.conj_smul, FormalMultilinearSeries.rightInv_coeff, differentiableAt_dslope_of_ne, Complex.map_isometryOfOrthonormal, Complex.hasDerivAt_log, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, hasDerivAt_zpow, TemperedDistribution.fourierTransformInv_apply, MeasureTheory.AEStronglyMeasurable.convolution_integrand', Circle.coe_injective, Complex.hasSum_cos, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, mfderiv_neg, isClosedMap_smul_left, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, instSMulCommClass_sphere_sphere_closedBall, Complex.isHomeomorphicTrivialFiberBundle_im, ContDiffOn.differentiableOn_iteratedFDerivWithin, EuclideanSpace.single_eq_zero_iff, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, HurwitzZeta.hasSum_int_completedSinZeta, NormedSpace.expSeries_summable_of_mem_ball', RCLike.instTietzeExtension, ValueDistribution.log_counting_zero_sub_logCounting_top, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', zeta_nat_eq_tsum_of_gt_one, Matrix.l2_opNorm_def, UpperHalfPlane.tendsto_comap_im_ofComplex, Circle.coe_zpow, Asymptotics.IsTheta.mul, OrthogonalFamily.linearIsometry_apply, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Bornology.isVonNBounded_singleton, Matrix.toEuclideanLin_toLp, Asymptotics.isTheta_const_mul_left, ContinuousLinearMapWOT.continuous_dual_apply, HurwitzZeta.hasSum_nat_hurwitzZetaOdd_of_mem_Icc, ContinuousLinearMap.holderL_apply_apply, NumberField.InfinitePlace.Completion.Rat.norm_infinitePlace_completion, StrongDual.mem_polar_singleton, FormalMultilinearSeries.comp_rightInv_aux2, ZSpan.coe_fract_self, AddChar.expect_apply_eq_ite, LeftInvariantDerivation.toFun_eq_coe, Complex.reCLM_enorm, UpperHalfPlane.contMDiff_denom, Asymptotics.isLittleOTVS_insert, Real.hasDerivAt_sinh, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, isClosedEmbedding_smul_left, Polynomial.toAddCircle_C_eq_smul_fourier_zero, MeasureTheory.condExpL1CLM_smul, isConformalMap_const_smul, Matrix.l2_opNorm_mul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, riemannZeta_eulerProduct_hasProd, norm_innerSL_le, AffineSubspace.subtypeₐᵢ_toAffineMap, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Padic.instProperSpace, DirichletCharacter.LSeries_eulerProduct, integrable_cexp_quadratic', HasStrictFDerivAt.sub, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, PeriodPair.lattice_eq_span_range_basis, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, continuousMultilinearCurryRightEquiv_apply, Seminorm.convex_closedBall, antilipschitzWith_lineMap, RCLike.norm_le_im_iff_eq_I_mul_norm, RCLike.real_smul_eq_coe_mul, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, Submodule.starProjection_coe_eq_isCompl_projection, HasFDerivAt.neg, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, Complex.frontier_reProdIm, RCLike.ofRealAm_coe, RCLike.normSq_one, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, orthonormal_vecCons_iff, AffineMap.deriv, ContinuousAlternatingMap.prodLIE_symm_apply, Submodule.ClosedComplemented.of_quotient_finiteDimensional, Bornology.sUnion_isVonNBounded_eq_univ, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, PadicComplex.nnnorm_extends, LinearMap.posSemidef_toMatrix_iff, PeriodPair.ω₁_mem_lattice, ContDiff.fderiv, SchwartzMap.fourier_convolution, Complex.log_inv_eq_integral, OnePoint.isZeroAt_iff, UnitAddTorus.span_mFourierLp_closure_eq_top, fderivWithin_comp_smul, ZMod.LFunction_dft, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, instSMulCommClass_closedBall_closedBall_closedBall, Complex.nnnorm_eq_one_of_pow_eq_one, PeriodPair.analyticOnNhd_weierstrassP, ContinuousLinearMap.flipₗᵢ_symm, HasFPowerSeriesAt.compContinuousLinearMap, HurwitzZeta.hasSum_int_completedHurwitzZetaEven, RCLike.charZero_rclike, Asymptotics.IsBigOTVS.refl, EuclideanSpace.nndist_single_same, Complex.differentiableAt_cos, exists_continuousLinearEquiv_fderivWithin_symm_eq, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, UpperHalfPlane.mdifferentiable_denom_zpow, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, FormalMultilinearSeries.rightInv_coeff_one, EuclideanSpace.single_apply, RCLike.isCauSeq_re, Pi.orthonormalBasis_repr, RCLike.hasSum_conj', MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, Complex.frontier_setOf_im_le, ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, differentiableAt_iff_comp_sub_const, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, Complex.range_exp_mul_I, Submodule.IsCompl.projection_isSymmetric_iff, ContinuousLinearMap.isBigOTVS_id, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', Circle.coe_div, ContinuousLinearMap.norm_holder_apply_apply_le, upperHemicontinuous_spectrum, Complex.isUniformEmbedding_equivRealProd, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, WithLp.unitization_norm_inr, AnalyticOnNhd.eval_mvPolynomial, WithLp.unitization_nnnorm_def, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, absorbent_ball_zero, tendsto_nhds_of_meromorphicOrderAt_nonneg, Submodule.norm_subtypeL_le, range_cfc, ContinuousLinearMap.hasStrictDerivAt, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, AffineIsometry.coe_toContinuousAffineMap, IsUltrametricDist.isPowMul_invariantExtension, Circle.coe_one, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, hasDerivWithinAt_iff_tendsto_slope, constFormalMultilinearSeries_apply_succ, Polynomial.fourierCoeff_toAddCircle, FormalMultilinearSeries.continuousOn, RCLike.wInner_add_right, hasFDerivAt_inv, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, Complex.hasSum_iff, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, DifferentiableWithinAt.inner, NumberField.mixedEmbedding.norm_negAt, DoubleCentralizer.toProdHom_apply, HurwitzZeta.differentiable_completedHurwitzZetaEven₀, ContinuousMultilinearMap.isUniformInducing_toUniformOnFun, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.fpowerSeries_apply_one, HurwitzZeta.differentiable_completedHurwitzZetaOdd, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, logDeriv_pow, Real.hasDerivAt_sqrt, WeakFEPair.Λ_residue_zero, ModularFormClass.hasSum_qExpansion, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, Seminorm.continuous_iff_continuous_comp, BoundedContinuousFunction.char_add_eq_mul, constFormalMultilinearSeries_zero, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, ValueDistribution.logCounting_inv, ContinuousMultilinearMap.instIsTopologicalAddGroup, Complex.isOpenMap_re, Asymptotics.IsBigO.isBigOTVS, HilbertBasis.hasSum_inner_mul_inner, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, Complex.approx_Gamma_integral_tendsto_Gamma_integral, LinearIsometryEquiv.toContinuousLinearEquiv_smul, ContinuousAlternatingMap.compContinuousLinearMapCLM_apply, ContinuousLinearMap.opNNNorm_mul_apply, fderivInnerCLM_apply, AffineIsometry.image_intrinsicFrontier, AbsoluteValue.isEquiv_iff_isHomeomorph, ContinuousMultilinearMap.curryFinFinset_apply, EuclideanGeometry.orthogonalProjection_eq_iff_mem, nhdsWithin_isUnit_neBot, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, nndist_self_homothety, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, FormalMultilinearSeries.changeOriginSeriesTerm_bound, PadicSeq.norm_mul, spectrum.subset_circle_of_unitary, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, spectrum.subset_closedBall_norm, RCLike.I_mul_I_of_nonzero, SchwartzMap.denseRange_toLpCLM, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, Asymptotics.isLittleOTVS_sup, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, UpperHalfPlane.continuous_coe, summable_mul_of_bigO_atTop', MeromorphicAt.frequently_zero_iff_eventuallyEq_zero, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, Complex.deriv_exp, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, Padic.const_equiv, HasFTaylorSeriesUpToOn.restrictScalars, isConformalMap_iff_is_complex_or_conj_linear, ContinuousLinearMap.apply_apply, intrinsicClosure_eq_closure, RCLike.span_one_I, PeriodPair.ω₂_mem_lattice, Asymptotics.isThetaTVS_iff_isTheta, DirichletCharacter.differentiable_LFunctionTrivChar₁, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, algebraMap_cobounded_le_cobounded, iteratedFDeriv_neg, summable_jacobiTheta₂'_term_iff, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, instSMulCommClass_sphere_sphere_ball, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, PiTensorProduct.mapLMultilinear_opNorm, Convex.instPathConnectedSpace, hasFPowerSeriesAt_iff', RCLike.geometric_hahn_banach_closed_compact, MeasureTheory.eLpNorm_conj, ContinuousLinearMapWOT.tendsto_iff_forall_dual_apply_tendsto, hasDerivAt_exp_smul_const_of_mem_ball, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, DFinsupp.sum_inner, UpperHalfPlane.mdifferentiable_iff, meromorphicOrderAt_ne_top_iff_eventually_ne_zero, Real.fourierIntegral_iteratedFDeriv, Complex.isOpen_re_gt_EReal, hasStrictDerivAt_exp_zero, Submodule.orthogonalProjection_norm_le, DoubleCentralizer.intCast_toProd, ContinuousAffineMap.differentiableAt, WeakFEPair.Λ_residue_k, integrable_cexp_neg_mul_sq, WithSeminorms.hasBasis_ball, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, smooth_functions_tower, RCLike.intCast_im, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, finrank_euclideanSpace_fin, UpperHalfPlane.isOpen_upperHalfPlaneSet, Set.Finite.isVonNBounded, Real.hasStrictDerivAt_exp, UpperHalfPlane.isEmbedding_coe, HurwitzZeta.differentiable_completedSinZeta, WithLp.unitization_isometry_inr, HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEven, le_egauge_closedBall_one, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, MeasureTheory.norm_condExpL2_le_one, HasCompactSupport.convolution_integrand_bound_right, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, Padic.isDenseInducing_cast_withVal, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_nhds_right, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, logDeriv_zpow, exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, OrthonormalBasis.repr_reindex, NumberField.mixedEmbedding.measurable_polarSpaceCoord_symm, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, RCLike.re_extendTo𝕜'ₗ, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, PeriodPair.derivWeierstrassPExcept_def, AffineIsometry.id_toAffineMap, Complex.continuousAt_ofReal_cpow_const, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, circleMap_mem_sphere', Circle.argEquiv_apply_coe, MeasureTheory.memLp_re_im_iff, ContinuousLinearMap.adjoint_innerSL_apply, LSeries.hasDerivAt_term, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, UpperHalfPlane.mdifferentiableAt_ofComplex, LSeries_eq_mul_integral', ContDiffMapSupportedIn.structureMapLM_apply, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, RCLike.normSq_sub, isBoundedLinearMap_prod_multilinear, nndist_homothety_self, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, Orthonormal.inner_sum, Summable.hasSumUniformlyOn_log_one_add, EuclideanGeometry.reflection_apply, HasCompactSupport.convolution_integrand_bound_right_of_subset, intervalIntegral.integral_mul_const, HasStrictDerivAt_ofNat, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, ContinuousMap.idealOfSet_isMaximal_iff, LeftInvariantDerivation.coeFnAddMonoidHom_apply, Complex.det_conjLIE, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, balancedHull_convexHull_subseteq_absConvexHull, WeakFEPair.differentiable_Λ₀, TemperedDistribution.laplacianCLM_apply, InnerProductSpace.Core.inner_zero_left, Unitary.spectrum_subset_circle, continuousAt_gaussian_integral, mem_contMDiffFiberwiseLinear_iff, Submodule.coe_prodEquivOfClosedCompl, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, hasDerivAt_finCons, Asymptotics.IsThetaTVS.rfl, inner_eq_ofReal_norm_sq_right_iff, coeFn_fourierLp, isOpen_setOf_nat_le_rank, RCLike.tendsto_ofReal_atTop_cobounded, CurveIntegrable.neg, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NumberField.mixedEmbedding.disjoint_negAt_plusPart, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.integral_convolution, Complex.UnitDisc.coe_circle_smul, contDiff_euclidean, fderiv_norm_sq_apply, IsSelfAdjoint.commute_cfc, RCLike.imCLM_apply, ZMod.stdAddChar_apply, DirichletCharacter.continuousOn_neg_logDeriv_LFunctionTrivChar₁, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, derivWithin_mem_iff, DirichletCharacter.differentiable_completedLFunction, Complex.continuousAt_tan, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, RCLike.conj_neg_I, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, PadicComplexInt.integers, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, HurwitzZeta.differentiableAt_expZeta, RCLike.inv_I, Submodule.starProjection_tendsto_closure_iSup, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, LinearMap.exists_map_addHaar_eq_smul_addHaar', norm_iteratedFDeriv_fderiv, MeasureTheory.MemLp.ofReal, StrongDual.polar_nonempty, NormedSpace.dual_def, RCLike.inner_eq_wInner_one, NumberField.house_eq_sup', RCLike.geometric_hahn_banach_open_open, MeasureTheory.integral_mul_const, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, HasMFDerivAt.const_smul, Complex.continuous_im, Submodule.ClosedComplemented.of_isCompl_isClosed, TensorProduct.toLinearMap_mapInclIsometry, Complex.equivRealProdCLM_apply, Circle.argPartialEquiv_apply, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, MeasureTheory.charFun_eq_integral_probChar, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', EulerProduct.exp_tsum_primes_log_eq_tsum, Unitization.norm_inr, orthonormal_span, norm_cfc_lt, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, inner_vsub_left_eq_zero_symm, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendsto, Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, PeriodPair.finrank_lattice, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, hasDerivAt_abs_pos, PeriodPair.derivWeierstrassP_add_coe, PiTensorProduct.injectiveSeminorm_def, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, Complex.orderClosedTopology, HilbertBasis.hasSum_repr_symm, inner_neg_left, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, differentiableWithinAt_Ioi_iff_Ici, HurwitzZeta.differentiableAt_sinZeta, inner_smul_left, contDiff_succ_iff_hasFDerivAt, dist_lineMap_lineMap, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, Unitization.continuous_inr, MeasureTheory.condExpL2_indicator_nonneg, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, NumberField.mixedEmbedding.convexBodyLT'_convex, PadicSeq.eq_zero_iff_equiv_zero, Submodule.coe_prodEquivOfClosedCompl_symm, TemperedDistribution.smulLeftCLM_apply_apply, summable_jacobiTheta₂_term_iff, Complex.conjCLE_coe, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, nndist_lineMap_left, Complex.continuousOn_one_add_mul_inv, WithSeminorms.hasBasis_zero_ball, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, contDiff_one_iff_deriv, inner_matrix_col_col, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, ContMDiff.coordChangeL, Real.hasStrictDerivAt_log_of_pos, derivWithin_comp_neg, RCLike.div_I, OrthonormalBasis.inner_eq_ite, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, differentiableAt_jacobiTheta, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, ContinuousLinearMap.orthogonal_ker, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, ContDiffWithinAt.fderivWithin_right, Complex.rotation, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, Asymptotics.IsThetaTVS.refl, Rat.padicValuation_le_one_iff, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, SchwartzMap.norm_pow_mul_le_seminorm, pi_mul_cot_pi_q_exp, contDiffWithinAt_succ_iff_hasFDerivWithinAt, BoundedContinuousFunction.probCharDual_apply, PeriodPair.weierstrassPExcept_add, InnerProductSpace.norm_rankOne, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Asymptotics.IsTheta.const_mul_right, HasFDerivAt.fun_sub, Complex.hasDerivAt_Gamma_nat, hasFDerivAt_integral_of_dominated_loc_of_lip, Submodule.isHilbertSumOrthogonal, IsClosed.reProdIm, DoubleCentralizer.neg_fst, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, PiTensorProduct.mapLMultilinear_toFun_apply, norm_jacobiTheta₂_term_fderiv_le, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, Summable.tendstoUniformlyOn_tsum_nat_log_one_add, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, Unitization.nnnorm_inr, quasispectrum.instCompactSpace, fderiv_eq_smul_deriv, BoundedContinuousFunction.char_apply, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, LinearMap.ker_toContinuousLinearMap, Complex.tendsto_exp_comap_re_atBot_nhdsNE, differentiable_circleMap, Matrix.gram_single, HurwitzZeta.tendsto_hurwitzZetaEven_sub_one_div_nhds_one, InnerProductSpace.Core.inner_sub_right, integrableOn_exp_mul_complex_Ioi, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, deriv_comp_sub_const, Complex.isClosed_range_intCast, AffineMap.continuous_of_finiteDimensional, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, WithSeminorms.finset_sups, Orthonormal.inner_eq_zero, niven_fract_angle_div_pi_eq, hasDerivWithinAt_sub_const_iff, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, HurwitzZeta.differentiable_completedCosZeta₀, Complex.restrictScalars_toSpanSingleton', NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal, RCLike.zero_im, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, fderiv_inv', ContinuousLinearMapWOT.ext_inner_iff, Complex.differentiable_iteratedDeriv_cosh, Complex.closedEmbedding_intCast, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, Matrix.permMatrix_l2_opNorm_eq, HurwitzZeta.hurwitzZetaEven_residue_one, norm_inner_div_norm_mul_norm_eq_one_iff, MeasureTheory.lpMeas.aestronglyMeasurable, tendsto_zero_geometric_tsum_pnat, RCLike.geometric_hahn_banach_open_point, AffineIsometryEquiv.coe_toAffineEquiv, FormalMultilinearSeries.comp_assoc, HasFPowerSeriesWithinAt.comp, Complex.reCLM_apply, Real.hasDerivAt_negMulLog, continuousAt_dslope_of_ne, AffineIsometryEquiv.coe_toContinuousAffineEquiv, Complex.closure_setOf_im_lt, NumberField.mixedEmbedding.lintegral_comp_polarSpaceCoord_symm, PeriodPair.differentiableOn_derivWeierstrassPExcept, continuousMultilinearCurryFin1_apply, Complex.conjLIE_symm, LeftInvariantDerivation.evalAt_apply, InnerProductSpace.gramSchmidt_inv_triangular, hasStrictDerivAt_neg, deriv_id', hasStrictFDerivAt_euclidean, fourierCoeff_fourier, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, HilbertBasis.finite_spans_dense, toMeromorphicNFOn_eqOn_codiscrete, RCLike.ofReal_lt_zero
toNormedDivisionRing 📖	CompOp	762 math math: Polynomial.fderiv, Pi.comul_eq_adjoint, NumberField.basisMatrix_eq_embeddingsMatrixReindex, continuousSMul_sphere_ball, DifferentiableOn.zpow, integrableOn_cfcₙ', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, ContinuousMultilinearMap.norm_mkPiRing, NumberField.InfinitePlace.isNontrivial, NumberField.InfinitePlace.eq_iff_isEquiv, continuous_cfcₙHomSuperset_left, cfcₙL_integral, HasFDerivWithinAt.ccosh, continuousOn_stereoToFun, norm_cfcₙHom, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, LinearMap.IsSymmetric.inner_map_polarization, HasFDerivWithinAt.ccos, InnerProductSpace.toLinearIsometry_toDual, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, Asymptotics.IsEquivalent.zpow, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, cfcₙ_norm_nonneg, ContinuousWithinAt.cfcₙ, Ideal.toCharacterSpace_apply_eq_zero_of_mem, hasFDerivAt_iff_hasGradientAt, cfcₙHom_apply_mem_elemental, RCLike.div_re_ofReal, Real.fourierCoeff_tsum_comp_add, Differentiable.fun_div, Filter.Tendsto.cfc, InnerProductSpace.rankOne_one_left_eq_innerSL, Function.FactorizedRational.divisor, HasStrictFDerivAt.csin, Polynomial.isEquivalent_atBot_div, NumberField.prod_nonarchAbsVal_eq, ContDiff.div_const, WeakDual.isCompact_polar, nnnorm_cfc_lt, differentiableAt_zpow, Padic.eq_padicNorm, continuousSMul_sphere_sphere, MeasureTheory.lpNorm_fun_div_natCast, HurwitzZeta.cosZeta_two_mul_nat', StrongDual.polarSubmodule_eq_setOf, DifferentiableAt.div, Polynomial.div_tendsto_atTop_leadingCoeff_div_of_degree_eq, fderivWithin_csinh, span_fourier_closure_eq_top, HasDerivWithinAt.fun_div, integrableOn_cfc', NumberField.isInfinitePlace_iff, WeakDual.isClosed_image_polar_of_mem_nhds, ZLattice.covolume_eq_det_inv, PadicComplex.valuation_extends, one_add_cpow_hasFPowerSeriesAt_zero, NumberField.InfinitePlace.isometry_embedding, norm_cfc_lt_iff, Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eq, isClosedEmbedding_cfcₙAux, innerSL_apply_apply, CFC.abs_eq_cfcₙ_coe_norm, LinearMap.adjoint_innerₛₗ_apply, hasDerivAt_neg', ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, ContinuousLinearMap.toBilinForm_apply, nnnorm_cfcₙ_lt_iff, Complex.UnitDisc.instSMulCommClass_closedBall_circle, Complex.UnitDisc.instSMulCommClass_closedBall_left, ContinuousOn.cfcₙ', ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, HurwitzZeta.cosZeta_two_mul_nat, ContinuousMap.setOfIdeal_ofSet_eq_interior, InnerProductSpace.toDual_symm_apply, Submodule.starProjection_singleton, instSMulCommClass_sphere_sphere_sphere, IsGreatest.nnnorm_cfcₙ, ContinuousAt.cfc, Complex.hasStrictDerivAt_tan, MeasureTheory.charFun_toDual_symm_eq_charFunDual, Differentiable.fderiv_norm_rpow, NumberField.InfiniteAdeleRing.algebraMap_apply, UnitAddTorus.mFourierSubalgebra_coe, Complex.exp_eq_exp_ℂ, Complex.hasStrictFDerivAt_exp_real, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, sum_cauchyPowerSeries_eq_integral, DifferentiableAt.zpow, MeasureTheory.integral_div, cfc_complex_eq_real, UnitAddTorus.mFourierSubalgebra_closure_eq_top, norm_cfc_le_iff, iter_deriv_zpow', HasFDerivAt.norm_sq, polynomialFunctions.starClosure_topologicalClosure, hasFDerivWithinAt_inv, NumberField.InfinitePlace.Completion.norm_coe, PadicComplex.coe_natCast, HasFDerivWithinAt.csin, Polynomial.div_tendsto_zero_iff_degree_lt, LinearMap.IsSymmetric.directSum_decompose_apply, Differentiable.zpow, Continuous.cfc', gelfandStarTransform_naturality, gelfandStarTransform_apply_apply, Submodule.reflection_singleton_apply, RCLike.nonUnitalContinuousFunctionalCalculus, intervalIntegral.integral_div, NormedSpace.Dual.toWeakDual_continuous, deriv_fun_inv'', ContinuousMultilinearMap.norm_smulRightL_le, cfcₙ_integral, cfcₙ_setIntegral, InnerProductSpace.gramSchmidt_def, Polynomial.toAddCircle_X_pow_eq_fourier, Polynomial.abs_div_tendsto_atTop_of_degree_gt, ContinuousLinearMap.toSesqForm_apply_coe, gelfandTransform_bijective, fderivWithin_ccosh, VectorFourier.fourierPowSMulRight_eq_comp, NumberField.InfinitePlace.coe_apply, isScalarTower_closedBall_closedBall_closedBall, isScalarTower_sphere_closedBall_closedBall, Complex.hasDerivAt_GammaIntegral, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, cfcL_integrable, Submodule.orthogonalProjection_bot, DifferentiableAt.fun_div, meromorphicOrderAt_ne_top_iff, Pi.counit_eq_adjoint, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, ContinuousOn.cfc, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Complex.hasStrictFDerivAt_cpow', Real.fourier_iteratedFDeriv, InnerProductSpace.toDualMap_apply_apply, HasStrictDerivAt.div, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, derivWithin_zpow, Meromorphic.div, WeakDual.toStrongDual_inj, hasDerivAt_id', rescale_to_shell_semi_normed_zpow, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, coe_innerSL_apply, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, range_cfcₙHom, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, norm_cfcₙ_lt, WeakDual.coe_toStrongDual, BoundedContinuousFunction.mem_charPoly, spectrum.gelfandTransform_eq, BoundedContinuousFunction.charAlgHom_apply, ContDiffAt.div_const, hasDerivWithinAt_neg, IsGreatest.norm_cfcₙ, hasGradientWithinAt_iff_hasFDerivWithinAt, inner_eq_norm_mul_iff_div, cfcₙ_comp_norm, NormedSpace.smul_mem_polar, WeakDual.CharacterSpace.continuousMapEval_bijective, Continuous.cfcₙ_of_mem_nhdsSet, NormedSpace.inclusionInDoubleDual_norm_eq, cfcₙHom_integral, Continuous.cfcₙ, continuousOn_cfc_setProd, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, IsGreatest.norm_cfc, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, FiniteDimensional.of_locallyCompact_manifold, Asymptotics.IsTheta.div, Submodule.reflection_orthogonalComplement_singleton_eq_neg, deriv_fun_div, Function.FactorizedRational.mulSupport, Polynomial.toAddCircle.integrable, Meromorphic.zpow, continuousOn_cfcₙ, RCLike.div_im, hasFDerivAt_norm_rpow, Function.FactorizedRational.meromorphicOrderAt_eq, summable_jacobiTheta₂_term_fderiv_iff, Polynomial.div_tendsto_atBot_zero_of_degree_lt, isCoveringMap_zpow, RCLike.instContinuousMapUniqueHom, Seminorm.rescale_to_shell_zpow, derivWithin_fun_div, WeakDual.CharacterSpace.homeoEval_naturality, contDiffOn_stereoToFun, HurwitzZeta.hurwitzZeta_neg_nat, range_cfcₙ, Complex.hasStrictFDerivAt_cpow, NumberField.InfinitePlace.Completion.locallyCompactSpace, IsGreatest.nnnorm_cfc, Convex.toWeakSpace_closure, Function.FactorizedRational.finprod_eq_fun, hasDerivAtFilter_neg, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasFDerivWithinAt.hasGradientWithinAt, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, innerSL_inj, hasDerivWithinAt_pow, HasFDerivWithinAt.cpow, StrongDual.toLp_of_not_memLp, HasStrictFDerivAt.const_cpow, HasFDerivWithinAt.csinh, cfcₙAux_id, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, WeakDual.isCompact_closedBall, continuousSMul_closedBall_ball, InnerProductSpace.toDual_apply, NormedSpace.exp_continuousMap_eq, isScalarTower_sphere_sphere_sphere, FormalMultilinearSeries.coeff_ofScalars, FormalMultilinearSeries.mkPiRing_coeff_eq, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, RCLike.nnnorm_nnratCast, InnerProductSpace.toDualMap_apply, gelfandTransform_map_star, logDeriv_div, cfcHom_integral, hasDerivAtFilter_id, NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsReal_coe, fderivWithin_ccos, hasDerivAt_update, HasStrictFDerivAt.clog, nnnorm_apply_le_nnnorm_cfcₙ, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, cfcₙ_real_eq_complex, inner_eq_sum_norm_sq_div_four, NumberField.InfinitePlace.isInfinitePlace, Padic.comap_mulValuation_eq_padicValuation, MeromorphicOn.div, Complex.UnitDisc.coe_closedBall_smul, ContinuousMap.ideal_isMaximal_iff, hasDerivAt_jacobiTheta₂_fst, IsometricContinuousFunctionalCalculus.toNonUnital, InnerProductSpace.toDual_apply_apply, ContinuousLinearMap.adjointAux_apply, FiniteDimensional.of_isCompact_closedBall₀, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, CFC.exp_eq_normedSpace_exp, NumberField.InfinitePlace.smul_coe_apply, RCLike.im_eq_conj_sub, InnerProductSpace.rankOne_def, stereoToFun_apply, PointwiseConvergenceCLM.equivWeakDual_apply, hasSum_jacobiTheta₂_term_fderiv, Polynomial.fderiv_aeval, iter_deriv_zpow, instSMulCommClass_sphere_closedBall_closedBall, HasStrictFDerivAt.ccos, Complex.hasDerivAt_Gammaℂ_one, integrable_cfcₙ, Complex.hasStrictDerivAt_const_cpow, ClosedSubmodule.orthogonal_eq_inter, HasFDerivWithinAt.cexp, IsSelfAdjoint.cfc_arg, RCLike.conj_div, RCLike.ofReal_zpow, HurwitzZeta.hurwitzZetaOdd_neg_two_mul_nat, StrongDual.polarSubmodule_eq_polar, norm_cfcₙ_lt_iff, fourierSubalgebra_separatesPoints, MeasureTheory.SignedMeasure.re_toComplexMeasure, Complex.one_add_cpow_hasFPowerSeriesAt_zero, Commute.cfcₙHom, continuousSMul_sphere_closedBall, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, PointwiseConvergenceCLM.equivWeakDual_symm_apply, ContDiffAt.div, Complex.hasFDerivAt_cpow, LinearEquiv.extendOfIsometry_symm_apply, iteratedDerivWithin_zpow, meromorphicOrderAt_eq_int_iff, isScalarTower_closedBall_ball_ball, NormedSpace.ofReal_exp_ℝ_ℝ, WeakDual.isSeqCompact_closedBall, HasFDerivAt.cexp, HasFDerivAt.ccos, hasStrictDerivAt_zpow, WeakDual.exists_countable_separating, HasFDerivAt.clog, PadicComplex.valuation_p, innerSLFlip_apply_apply, Polynomial.hasFDerivAt, hasDerivAt_inv, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, Submodule.smul_starProjection_singleton, Complex.hasDerivAt_cos, Function.FactorizedRational.meromorphicNFOn_univ, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, HasGradientAt.hasFDerivAt, Real.fourier_fderiv, ContinuousMap.adjoin_id_eq_span_one_union, HasFDerivWithinAt.norm_sq, Complex.restrictScalars_one_smulRight, LipschitzWith.coordinate, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, Complex.hasStrictDerivAt_log, summable_pow_div_add, HasFDerivAt.ccosh, Filter.Tendsto.cfcₙ, NormedSpace.algebraMap_exp_comm, ProbabilityTheory.hasDerivAt_complexMGF, MeromorphicOn.divisor_fun_zpow, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, iteratedDerivWithin_one_div, norm_inner_eq_norm_tfae, DifferentiableWithinAt.fun_div, Polynomial.isEquivalent_atTop_div, NumberField.isFinitePlace_iff, inr_comp_cfcₙHom_eq_cfcₙAux, FiniteDimensional.of_isCompact_closedBall, nnnorm_cfc_le_iff, Submodule.starProjection_bot, RCLike.re_eq_add_conj, Function.FactorizedRational.analyticAt, GromovHausdorff.ghDist_eq_hausdorffDist, WeakDual.polar_def, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, HasCompactMulSupport.eq_one_or_finiteDimensional, LinearMap.adjoint_toSpanSingleton, Asymptotics.superpolynomialDecay_iff_isLittleO, MeromorphicOn.divisor_zpow, logDeriv_id, LinearEquiv.extendOfIsometry_apply, NumberField.FinitePlace.coe_apply, WeakDual.CharacterSpace.compContinuousMap_apply, HasDerivAt.fun_div, hasDerivAt_id, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, FiniteDimensional.of_locallyCompactSpace, Polynomial.hasFDerivAt_aeval, continuous_cfcHomSuperset_left, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, deriv_zpow', Continuous.cfc_of_mem_nhdsSet, HasDerivWithinAt.div, Matrix.l2_opNNNorm_def, hasDerivAt_exp, KuratowskiEmbedding.embeddingOfSubset_isometry, Complex.hasDerivAt_logTaylor, HurwitzZeta.hurwitzZetaEven_one_sub_two_mul_nat, Padic.valuation_zpow, cfc_integral, hasStrictFDerivAt_inv, InnerProductSpace.gramSchmidt_def', GromovHausdorff.eq_toGHSpace, fderiv_inv, HurwitzZeta.sinZeta_two_mul_nat_add_one', instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, isScalarTower_sphere_sphere_closedBall, Complex.UnitDisc.instSMulCommClass_closedBall_right, HasCompactSupport.eq_zero_or_finiteDimensional, ContDiffOn.div, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, ContDiffOn.fun_div, WeakDual.isClosed_closedBall, Meromorphic.fun_zpow, Complex.UnitDisc.instIsScalarTower_closedBall, fderiv_ccos, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, InnerProductSpace.rankOne_def', ContinuousOn.cfc_of_mem_nhdsSet, isScalarTower_sphere_sphere_ball, deriv_inv'', logDeriv_id', Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, LinearMap.opNorm_extendOfNorm_le, InnerProductSpace.innerSL_norm, toWeakSpace_closedConvexHull_eq, MeromorphicOn.fun_zpow, Polynomial.hasDerivWithinAt_aeval, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, Asymptotics.superpolynomialDecay_iff_isBigO, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, NumberField.count_multisetInfinitePlace_eq_mult, summable_norm_pow_mul_geometric_div_one_sub, Complex.restrictScalars_toSpanSingleton, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, MeromorphicOn.zpow, NumberField.InfinitePlace.Completion.extensionEmbedding_coe, fourierSubalgebra_coe, NumberField.InfinitePlace.denseRange_algebraMap_pi, Polynomial.toAddCircle_monomial_eq_smul_fourier, integrableOn_cfcₙ, Complex.hasStrictDerivAt_sin, norm_cfcₙ_le, continuousAt_zpow, coord_norm', WeakDual.isClosed_polar, spec_cfcₙAux, Asymptotics.IsEquivalent.div, integrable_cfcₙ', StrongDual.norm_toLpₗ_le, nnnorm_cfc_le, NumberField.InfinitePlace.isometry_embedding_of_isReal, ContinuousMap.setOfIdeal_eq_compl_singleton, Complex.hasDerivAt_cosh, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, NumberField.ComplexEmbedding.place_conjugate, Complex.UnitDisc.coe_smul_closedBall, integrable_cfc', LipschitzOnWith.coordinate, AnalyticAt.hasFPowerSeriesAt, ZLattice.volume_image_eq_volume_div_covolume, nnnorm_apply_le_nnnorm_cfc, StrongDual.toLpₗ_of_not_memLp, Continuous.cfc, deriv_zpow, StrongDual.mem_polarSubmodule, derivWithin_inv', AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, DifferentiableWithinAt.div, UnitAddTorus.hasSum_mFourier_series_of_summable, Real.fourierIntegral_fderiv, cfcₙHom_real_eq_restrict, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, MeasureTheory.ComplexMeasure.im_apply, UnitAddTorus.mFourierSubalgebra_separatesPoints, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, Commute.cfcHom, DifferentiableOn.div, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, cfc_apply_mem_elemental, HasFDerivAt.csin, Complex.hasDerivAt_sin, AnalyticAt.exists_eq_sum_add_pow_mul, InnerProductSpace.gramSchmidt_def'', WStarAlgebra.exists_predual, nnnorm_cfcₙHom, ContinuousOn.cfcₙ, Complex.hasStrictDerivAt_exp, logDeriv_inv, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Padic.denseRange_ratCast, ContinuousLinearMap.adjoint_toSpanSingleton, IsStarNormal.instContinuousFunctionalCalculus, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, RCLike.ratCast_re, cfc_comp_norm, Asymptotics.IsTheta.zpow, RCLike.ofReal_div, Commute.cfc, HurwitzZeta.sinZeta_two_mul_nat_add_one, hahnEmbedding_isOrderedModule_rat, ContinuousOn.cfcₙ_of_mem_nhdsSet, Polynomial.fourierCoeff_toAddCircle_natCast, ContinuousMap.spectrum_eq_range, innerSLFlip_apply, hasDerivAt_const_mul, InnerProductSpace.toContinuousLinearMap_toDualMap, IsSelfAdjoint.commute_cfcₙHom, Polynomial.fderivWithin_aeval, Polynomial.fderivWithin, HasFDerivWithinAt.const_cpow, Polynomial.hasDerivAt, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, WeakDual.CharacterSpace.norm_le_norm_one, cfcL_integral, Submodule.reflection_bot, innerSL_apply_norm, InnerProductSpace.toDual_apply_eq_toDualMap_apply, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, iter_deriv_inv, hasDerivWithinAt_zpow, hasFPowerSeriesOnBall_cuspFunction, fderivWithin_inv, MeasureTheory.charFun_eq_charFunDual_toDualMap, Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, fderivWithin_csin, norm_cfc_le, RCLike.norm_nnratCast, iter_deriv_inv', WeakDual.CharacterSpace.mem_spectrum_iff_exists, rescale_to_shell_zpow, MeasureTheory.lpNorm_div_natCast, instSMulCommClass_sphere_ball_ball, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, RCLike.ofReal_nnratCast, Polynomial.hasDerivAt_aeval, Padic.valuation_ratCast, deriv_div, Continuous.cfcₙ', Padic.withValUniformEquiv_cast_apply, spectrum.exp_mem_exp, MeromorphicOn.extract_zeros_poles, ContinuousOn.cfc', cfcₙAux_mem_range_inr, ContinuousMap.adjoin_id_eq_span_one_add, cfcₙ_norm_sq_nonneg, Padic.coe_withValRingEquiv, NumberField.InfinitePlace.Completion.extensionEmbedding_of_isReal_coe, one_add_cpow_hasFPowerSeriesOnBall_zero, Matrix.toLin_finTwoProd_toContinuousLinearMap, hasSum_fourier_series_of_summable, RCLike.ratCast_im, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, Complex.hasStrictDerivAt_cpow_const, ContDiffWithinAt.div, Asymptotics.isEquivalent_iff_tendsto_one, hasDerivAt_neg, Padic.isUniformInducing_cast_withVal, Polynomial.hasStrictDerivAt, Commute.cfcₙ, NormedSpace.of_real_exp_ℝ_ℝ, ContinuousAt.cfcₙ, Padic.norm_rat_le_one, nnnorm_cfcₙ_le_iff, fderiv_ccosh, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.cpow, Padic.rat_dense, hasFDerivWithinAt_iff_hasGradientWithinAt, MeromorphicOn.fun_div, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, NumberField.AdeleRing.algebraMap_fst_apply, nnnorm_cfc_lt_iff, hasDerivAt_pow, RCLike.normSq_div, Function.FactorizedRational.extractFactor, Polynomial.div_tendsto_atTop_zero_of_degree_lt, continuousSMul_closedBall_closedBall, hasStrictDerivAt_exp, HasDerivAt.div, isCoveringMap_npow, Complex.instContinuousMapUniqueHom, Complex.hasDerivAt_Gamma_one, Polynomial.div_tendsto_zero_of_degree_lt, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, Polynomial.hasFDerivWithinAt_aeval, continuousOn_cfcₙ_setProd, fourierSubalgebra_closure_eq_top, hasStrictDerivAt_inv, logDeriv_fun_zpow, Unitization.complex_cfcₙ_eq_cfc_inr, Padic.coe_withValRingEquiv_symm, ContDiffOn.div_const, MeromorphicAt.zpow, innerSL_apply, StrongDual.toLp_apply, instSMulCommClass_closedBall_closedBall_ball, Complex.UnitDisc.instSMulCommClass_circle_closedBall, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding_of_isReal, iter_deriv_inv_linear_sub, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, DifferentiableWithinAt.zpow, Complex.hasDerivAt_Gamma_one_half, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, norm_apply_le_norm_cfc, isScalarTower_sphere_ball_ball, meromorphicOrderAt_zpow, PadicComplex.rankOne_hom_eq, exists_extension_norm_eq, Complex.subfield_eq_of_closed, integrable_cfc, UnitAddTorus.span_mFourier_closure_eq_top, ContinuousLinearMap.norm_smulRightL_le, MeromorphicAt.div, hasDerivAt_single, derivWithin_div, norm_cfcHom, KuratowskiEmbedding.embeddingOfSubset_dist_le, Complex.isOpenQuotientMap_pow_compl_zero, MeasureTheory.ComplexMeasure.re_apply, signedDist_apply, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, WeakDual.CharacterSpace.equivAlgHom_coe, cfc_real_eq_complex, HasFDerivAt.hasGradientAt, Complex.hasDerivAt_tan, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, Real.hasFDerivAt_fourierChar_neg_bilinear_right, Padic.norm_rat_le_one_iff_padicValuation_le_one, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContinuousLinearEquiv.coord_norm', cfc_setIntegral', HasFPowerSeriesAt.eq_zero_of_eventually, cfcₙ_setIntegral', hasDerivAt_mul_const, NumberField.FinitePlace.isFinitePlace, cfcₙ_apply_mem_elemental, Complex.hasStrictFDerivAt_log_real, NumberField.InfinitePlace.Completion.WithAbs.ratCast_equiv, iter_deriv_inv_linear, MeromorphicAt.fun_zpow, WeakDual.toStrongDual_apply, ContinuousMap.elemental_id_eq_top, DifferentiableOn.fun_div, IsSelfAdjoint.commute_cfcₙ, gelfandTransform_isometry, WeakDual.CharacterSpace.compContinuousMap_comp, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, norm_apply_le_norm_cfcₙ, fderiv_csinh, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, range_cfcHom, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, NumberField.prod_archAbsVal_eq, nnnorm_cfcHom, integrableOn_cfc, WeakDual.CharacterSpace.equivAlgHom_symm_coe, continuousOn_cfc, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, RCLike.div_re, HasStrictFDerivAt.ccosh, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, fderiv_norm_rpow, Polynomial.toAddCircle_X_eq_fourier_one, MeromorphicAt.fun_div, differentiableWithinAt_zpow, KuratowskiEmbedding.exists_isometric_embedding, LSeries_hasDerivAt, instSMulCommClass_sphere_closedBall_ball, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, isCoveringMapOn_zpow, isScalarTower_closedBall_closedBall_ball, HasGradientAt.hasDerivAt, hasDerivAt_exp_zero, InnerProductSpace.continuousLinearMapOfBilin_apply, NormedSpace.double_dual_bound, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, fderiv_csin, WeakDual.isSeqCompact_polar, ContinuousMap.idealOf_compl_singleton_isMaximal, hasDerivWithinAt_inv, hasStrictDerivAt_id, cfcₙL_integrable, instNonemptySeedRatReal, Complex.hasDerivAt_exp, HasFDerivAt.cpow, Polynomial.hasFDerivWithinAt, IsStarNormal.instIsometricContinuousFunctionalCalculus, Complex.hasDerivAt_log_sub_logTaylor, HasFPowerSeriesAt.locally_zero_iff, innerSL_apply_coe, ContinuousWithinAt.cfc, derivWithin_fun_inv', Meromorphic.fun_div, WeakDual.CharacterSpace.exists_apply_eq_zero, Complex.hasDerivAt_log, hasDerivAt_zpow, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, WeakDual.CharacterSpace.compContinuousMap_id, instSMulCommClass_sphere_sphere_closedBall, Matrix.l2_opNorm_def, nnnorm_cfcₙ_le, NumberField.InfinitePlace.Completion.Rat.norm_infinitePlace_completion, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, Polynomial.toAddCircle_C_eq_smul_fourier_zero, norm_innerSL_le, BoundedContinuousFunction.separatesPoints_charPoly, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.csinh, PadicInt.unitCoeff_coe, ContinuousMap.idealOfSet_ofIdeal_isClosed, Polynomial.Gal.splits_ℚ_ℂ, MontelSpace.finiteDimensional_of_normedSpace, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, instSMulCommClass_closedBall_closedBall_closedBall, cfcHom_eq_of_isStarNormal, HasGradientWithinAt.hasFDerivWithinAt, Polynomial.hasDerivWithinAt, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, NumberField.Units.basisOfIsMaxRank_fundSystem, range_cfc, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, Polynomial.fourierCoeff_toAddCircle, hasFDerivAt_inv, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, MeromorphicAt.meromorphicTrailingCoeffAt_zpow, ContinuousLinearMap.smulRightL_apply_apply, logDeriv_pow, BoundedContinuousFunction.char_add_eq_mul, padicNorm_two_harmonic, Padic.norm_p_zpow, HasGradientAtFilter.hasDerivAtFilter, instSMulCommClass_sphere_sphere_ball, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, norm_cfcₙ_le_iff, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, ContinuousMap.idealOfSet_ofIdeal_eq_closure, continuousFunctionalCalculus_map_id, Padic.isDenseInducing_cast_withVal, logDeriv_zpow, GromovHausdorff.eq_toGHSpace_iff, RCLike.re_extendTo𝕜'ₗ, isBoundedBilinearMap_smulRight, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, ContinuousLinearMap.adjoint_innerSL_apply, LSeries.hasDerivAt_term, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, Differentiable.div, CFC.complex_exp_eq_normedSpace_exp, ContinuousMap.idealOfSet_isMaximal_iff, ContDiffWithinAt.div_const, ContinuousLinearMap.norm_smulRightL_apply, cfcₙ_complex_eq_real, fderiv_norm_sq_apply, IsSelfAdjoint.commute_cfc, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, cfc_setIntegral, PadicComplexInt.integers, NormedSpace.dual_def, fderiv_norm_sq, ContinuousMap.idealOpensGI_choice, WeakDual.CharacterSpace.instStarHomClass, NumberField.mixedEmbedding.convexBodySum_mem, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, norm_cfc_lt, ContinuousLinearMap.innerSL_apply_comp, ContinuousLinearMap.toSesqForm_apply_norm_le, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, cfc_integral', differentiableOn_zpow, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, Function.FactorizedRational.meromorphicNFOn, RCLike.div_I, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, ContDiff.div, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, RCLike.ofReal_ratCast, kuratowskiEmbedding.isometry, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, cfcₙ_integral', norm_inner_div_norm_mul_norm_eq_one_iff, hasStrictDerivAt_neg, nnnorm_cfcₙ_lt

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
denselyOrdered_range_nnnorm 📖	mathematical	—	DenselyOrdered Set.Elem NNReal Set.range NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing DenselyNormedField.toNormedField Preorder.toLT PartialOrder.toPreorder instPartialOrderNNReal Set Set.instMembership	—	exists_lt_nnnorm_lt
denselyOrdered_range_norm 📖	mathematical	—	DenselyOrdered Set.Elem Real Set.range Norm.norm toNorm DenselyNormedField.toNormedField Real.instLT Set Set.instMembership	—	exists_lt_norm_lt norm_nonneg
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm Ring.toSub CommRing.toRing Field.toCommRing toField	—	—
exists_enorm_lt 📖	mathematical	ENNReal Preorder.toLT PartialOrder.toPreorder ENNReal.instPartialOrder instZeroENNReal	ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField	—	LE.le.trans_lt zero_le_one IsOrderedRing.toZeroLEOneClass ENNReal.instIsOrderedRing ENNReal.coe_lt_top exists_one_lt_enorm ENNReal.coe_pos ENNReal.coe_lt_coe exists_nnnorm_lt
exists_enorm_lt_one 📖	mathematical	—	ENNReal Preorder.toLT PartialOrder.toPreorder ENNReal.instPartialOrder instZeroENNReal ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField AddMonoidWithOne.toOne AddCommMonoidWithOne.toAddMonoidWithOne instAddCommMonoidWithOneENNReal	—	exists_enorm_lt one_pos IsOrderedRing.toZeroLEOneClass ENNReal.instIsOrderedRing NeZero.charZero_one ENNReal.instCharZero
exists_lt_enorm 📖	mathematical	—	ENNReal Preorder.toLT PartialOrder.toPreorder ENNReal.instPartialOrder ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField	—	CanLift.prf ENNReal.canLift exists_lt_nnnorm
exists_lt_nnnorm 📖	mathematical	—	NNReal Preorder.toLT PartialOrder.toPreorder instPartialOrderNNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField	—	exists_lt_norm
exists_lt_nnnorm_lt 📖	mathematical	NNReal Preorder.toLT PartialOrder.toPreorder instPartialOrderNNReal	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing DenselyNormedField.toNormedField	—	exists_lt_norm_lt Subtype.prop
exists_lt_norm 📖	mathematical	—	Real Real.instLT Norm.norm toNorm NontriviallyNormedField.toNormedField	—	exists_one_lt_norm pow_unbounded_of_one_lt Real.instIsStrictOrderedRing Real.instArchimedean AddGroup.existsAddOfLE norm_pow NormedDivisionRing.to_normOneClass NormedDivisionRing.toNormMulClass
exists_lt_norm_lt 📖	mathematical	Real Real.instLE Real.instZero Real.instLT	Norm.norm toNorm DenselyNormedField.toNormedField	—	DenselyNormedField.lt_norm_lt
exists_nnnorm_lt 📖	mathematical	NNReal Preorder.toLT PartialOrder.toPreorder instPartialOrderNNReal instZeroNNReal	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField	—	exists_norm_lt
exists_nnnorm_lt_one 📖	mathematical	—	NNReal Preorder.toLT PartialOrder.toPreorder instPartialOrderNNReal instZeroNNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField instOneNNReal	—	exists_norm_lt_one
exists_norm_lt 📖	mathematical	Real Real.instLT Real.instZero	Norm.norm toNorm NontriviallyNormedField.toNormedField	—	exists_lt_norm Set.mem_Ioo norm_inv Set.mem_inv Set.inv_Ioo_0_left PosMulReflectLE.toPosMulReflectLT PosMulStrictMono.toPosMulReflectLE IsStrictOrderedRing.toPosMulStrictMono Real.instIsStrictOrderedRing MulPosReflectLE.toMulPosReflectLT MulPosStrictMono.toMulPosReflectLE IsStrictOrderedRing.toMulPosStrictMono
exists_norm_lt_one 📖	mathematical	—	Real Real.instLT Real.instZero Norm.norm toNorm NontriviallyNormedField.toNormedField Real.instOne	—	exists_norm_lt one_pos Real.instZeroLEOneClass NeZero.charZero_one IsStrictOrderedRing.toCharZero Real.instIsStrictOrderedRing
exists_one_lt_enorm 📖	mathematical	—	ENNReal Preorder.toLT PartialOrder.toPreorder ENNReal.instPartialOrder AddMonoidWithOne.toOne AddCommMonoidWithOne.toAddMonoidWithOne instAddCommMonoidWithOneENNReal ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField	—	ENNReal.coe_lt_coe exists_one_lt_nnnorm
exists_one_lt_nnnorm 📖	mathematical	—	NNReal Preorder.toLT PartialOrder.toPreorder instPartialOrderNNReal instOneNNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField	—	exists_one_lt_norm
exists_one_lt_norm 📖	mathematical	—	Real Real.instLT Real.instOne Norm.norm toNorm NontriviallyNormedField.toNormedField	—	NontriviallyNormedField.non_trivial
nhdsNE_neBot 📖	mathematical	—	Filter.NeBot nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField Compl.compl Set Set.instCompl Set.instSingletonSet	—	mem_closure_iff_nhdsWithin_neBot Metric.mem_closure_iff exists_norm_lt Set.mem_singleton_iff add_eq_left AddLeftCancelSemigroup.toIsLeftCancelAdd norm_pos_iff dist_comm dist_eq_norm add_sub_cancel_left
nhdsWithin_isUnit_neBot 📖	mathematical	—	Filter.NeBot nhdsWithin UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedCommRing.toSeminormedCommRing toNormedCommRing NontriviallyNormedField.toNormedField MulZeroClass.toZero NonUnitalNonAssocSemiring.toMulZeroClass NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing NormedCommRing.toNonUnitalNormedCommRing setOf IsUnit MonoidWithZero.toMonoid Semiring.toMonoidWithZero DivisionSemiring.toSemiring Semifield.toDivisionSemiring Field.toSemifield toField	—	nhdsNE_neBot
norm_mul 📖	mathematical	—	Norm.norm toNorm NonUnitalNonAssocSemiring.toMul NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring CommRing.toRing Field.toCommRing toField Real Real.instMul	—	—

Real

Definitions

Name	Category	Theorems
denselyNormedField 📖	CompOp	933 math math: ContinuousMap.dense_setOf_contDiff, IsLocalMaxOn.fderivWithin_nonpos, differentiableOn_arcosh, hasDerivAt_arccos, hasDerivAt_fourier, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, SchwartzMap.lineDerivOpCLM_eq, ConformalAt.differentiableAt, iteratedDerivWithin_cos_Ioo, Bundle.ContMDiffRiemannianMetric.contMDiff, SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, differentiable_arctan, exists_contMDiffMap_zero_one_of_isClosed, differentiableAt_mulExpNegMulSq, iteratedDeriv_odd_cos, hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, differentiableAt_arcsin, contDiffOn_log, fderiv_fourierIntegral, ConvexOn.rightDeriv_le_slope_of_mem_interior, hasDerivAt_sqrt_mul_log, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, SmoothBumpFunction.support_eq_symm_image, RightDerivMeasurableAux.D_subset_differentiable_set, intervalIntegral.derivWithin_integral_of_tendsto_ae_left, deriv_negMulLog, hasDerivAt_sigmoid, ContDiffMapSupportedInClass.map_contDiff, analyticOn_cos, ProbabilityTheory.analyticOn_mgf, contDiffAt_arcosh, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, OpenPartialHomeomorph.contDiff_unitBallBall_symm, deriv_abs, nnnorm_deriv_mulExpNegMulSq_le_one, deriv_binEntropy, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, intervalIntegral.integral_hasDerivWithinAt_right, contDiffAt_norm_smul_iff, AnalyticOn.im_ofReal, ContDiffMapSupportedIn.iteratedFDerivLM_apply, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, SmoothBumpFunction.rOut_pos, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, analyticOnNhd_sin, hasStrictDerivAt_rpow_const_of_ne, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, RCLike.conjCLE_norm, HasDerivWithinAt.complexToReal_fderiv', circleIntegral_def_Icc, setOf_riemmanianEDist_lt_subset_nhds, circleIntegrable_iff, hasFDerivAt_stereoInvFunAux, fderiv_fourierChar_neg_bilinear_right_apply, intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, ContDiffBumpBase.smooth, LipschitzWith.memLp_lineDeriv, AnalyticOnNhd.re_ofReal, analyticOn_cosh, differentiableWithinAt_abs_pos, ContDiffMapSupportedIn.structureMapCLM_apply, eventually_enorm_mfderivWithin_symm_extChartAt_lt, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, SmoothPartitionOfUnity.locallyFinite, exists_smooth_one_nhds_of_subset_interior, differentiable_sinh, AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, expNegInvGlue.not_analyticAt_zero, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, SmoothPartitionOfUnity.nonneg, hasDerivAt_bernoulliFun, ContDiffPointwiseHolderAt.isBigO, deriv_log, SchwartzMap.decay', Complex.ofRealCLM_norm, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, Continuous.integral_hasStrictDerivAt, Continuous.exists_contDiff_dist_le_of_forall_mem_ball_dist_le, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, IsOpen.exists_msmooth_support_eq, IsOpen.exists_smooth_support_eq, SmoothPartitionOfUnity.locallyFinite', hasDerivAt_sin, differentiableOn_log, lintegral_fderiv_lineMap_eq_edist, iteratedDeriv_even_cosh, differentiableOn_arcsin, Complex.hasStrictFDerivAt_exp_real, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, monomial_has_deriv_aux, contDiffAt_tan, hasDerivAt_mul_log, differentiableWithinAt_abs, deriv_arccos, hasStrictDerivAt_sinh, LocallyBoundedVariationOn.ae_differentiableWithinAt, hasFPowerSeriesOnBall_ofScalars_mul_add_zero, analyticWithinAt_sinh, ContDiffMapSupportedIn.contDiff, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, stronglyMeasurable_derivWithin_Ioi, contDiffAt_rpow_const_of_le, SchwartzMap.fderivCLM_apply, hasStrictDerivAt_abs_pos, deriv_sqrt_mul_log, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, intervalIntegral.deriv_integral_right, analyticOnNhd_circleMap, antideriv_bernoulliFun, hasStrictFDerivAt_rpow_of_pos, differentiableAt_sigmoid, analyticAt_cos, Icc_isBoundaryPoint_bot, deriv_abs_neg, differentiableWithinAt_arccos_Ici, Homeomorph.contDiff_unitBall, sinc_eq_dslope, MeasureTheory.convolution_tendsto_right, HarmonicAt.analyticAt_complex_partial, exists_deriv_eq_zero, ContDiffMapSupportedIn.contDiff', InformationTheory.leftDeriv_klFun_one, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, exists_smooth_tsupport_subset, RCLike.reCLM_norm, hasDerivAt_arcosh, ConvexOn.monotoneOn_rightDeriv, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, SmoothBumpCovering.mem_extChartAt_source_of_eq_one, iteratedDerivWithin_cos_Icc, LocallyBoundedVariationOn.ae_differentiableAt, MonotoneOn.intervalIntegrable_deriv, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, MeasureTheory.MemLp.exist_eLpNorm_sub_le, IsLocalExtr.lineDeriv_eq_zero, analyticAt_rexp, IsExtrOn.lineDerivWithin_eq_zero, one_add_rpow_hasFPowerSeriesOnBall_zero, VectorFourier.fourierPowSMulRight_eq_comp, mfderivWithin_projIcc_one, analyticAt_sinh, hasStrictDerivAt_arccos, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, SingularManifold.isManifold, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, ContDiffPointwiseHolderAt.differentiableAt, Complex.deriv_ofReal_cpow_const, fderiv_fourier, norm_deriv_mulExpNegMulSq_le_one, SmoothBumpFunction.exists_r_pos_lt_subset_ball, Icc_isInteriorPoint_interior, not_continuousAt_deriv_mul_log_zero, OpenPartialHomeomorph.contDiff_univUnitBall, SchwartzMap.fourier_lineDerivOp_eq, Monotone.ae_differentiableAt, mfderivWithin_comp_projIcc_one, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, SmoothPartitionOfUnity.sum_finsupport', analyticOnNhd_rexp, TestFunction.contDiff, differentiableAt_rpow_const_of_ne, Manifold.pathELength_def, IccLeftChart_extend_interior_pos, hasDerivAt_arsinh, SchwartzMap.differentiable, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, contDiffAt_sqrt, hasDerivAt_abs_neg, deriv_sqrt_aux, HasStrictDerivAt.real_of_complex, deriv_rpow_const, instIsContinuousRiemannianBundleTrivial, hasDerivWithinAt_abs, contDiff_circleMap, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, VectorFourier.hasFDerivAt_fourierIntegral, deriv_sinh, InformationTheory.hasDerivAt_klFun, contMDiff_coe_sphere, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, ae_differentiableAt_norm, IsOpen.exists_contMDiff_support_eq_aux, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, Bundle.ContinuousRiemannianMetric.continuous, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, SmoothBumpCovering.toSmoothPartitionOfUnity_apply, Function.hasTemperateGrowth_iff_isBigO, HasGradientAtFilter.hasDerivAtFilter', IsLocalExtr.fderiv_eq_zero, intervalIntegral.integral_hasDerivWithinAt_left, differentiableOn_rpow_const, smoothTransition.contDiffAt, ProbabilityTheory.analyticAt_mgf, ContDiffBump.contDiff, hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, MeasureTheory.posConvolution_eq_convolution_indicator, LipschitzWith.ae_lineDifferentiableAt, InformationTheory.leftDeriv_klFun, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, eventually_riemmanianEDist_lt, ProbabilityTheory.differentiableAt_mgf, analyticOn_log, analyticOnNhd_log, differentiable_cos, IsMIntegralCurveOn.comp_mul, ProbabilityTheory.iteratedDeriv_mgf, one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, hasFDerivAt_norm_rpow, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, Metric.exists_smooth_forall_closedBall_subset, SmoothBumpFunction.support_eq_inter_preimage, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, ContDiffBump.convolution_tendsto_right, hasDerivAt_abs_rpow, contDiffOn_stereoToFun, hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, analyticAt_sin, analyticOnNhd_sigmoid, deriv_Gamma_nat, LogDeriv_exp, analyticOnNhd_cosh, hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, hasDerivAt_qaryEntropy, ProbabilityTheory.analyticOnNhd_cgf, SmoothBumpFunction.tsupport_subset_symm_image_closedBall, SmoothPartitionOfUnity.le_one, Monotone.ae_hasDerivAt, ContDiffMapSupportedIn.uniformSpace_eq_iInf, Continuous.exists_contMDiff_approx, abs_iteratedDeriv_cos_le_one, VectorFourier.iteratedFDeriv_fourierIntegral, differentiableAt_rpow_of_ne, exists_contMDiffMap_zero_one_nhds_of_isClosed, one_div_one_sub_hasFPowerSeriesOnBall_zero, ContDiffBump.normed_convolution_eq_right, differentiableAt_log, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, HarmonicAt.differentiableAt_complex_partial, differentiable_fourierIntegral, ProbabilityTheory.exists_cgf_eq_iteratedDeriv_two_cgf_mul, deriv_inv_log, iteratedDeriv_add_one_cosh, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, aestronglyMeasurable_derivWithin_Ioi, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, frontier_range_modelWithCornersEuclideanHalfSpace, ContDiffMapSupportedIn.structureMapCLM_zero_apply, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, iteratedDeriv_add_one_sinh, SchwartzMap.norm_iteratedFDeriv_le_seminorm, contDiff_bernoulliFun, EuclideanSpace.instIsManifoldSphere, differentiable_exp, ProbabilityTheory.differentiableOn_mgf, contDiffOn_abs, hasStrictDerivAt_arcosh, differentiableAt_cos, SmoothBumpFunction.contMDiffAt, deriv_log', ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, one_div_sub_hasFPowerSeriesOnBall_zero, HasDerivWithinAt.complexToReal_fderiv, IsContMDiffRiemannianBundle.exists_contMDiff, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, deriv2_binEntropy, SmoothBumpCovering.sum_toSmoothPartitionOfUnity_eq, IsExtrOn.lineDeriv_eq_zero, contMDiff_subtype_coe_Icc, hasDerivAt_arcsin, differentiable_inner, analyticOn_arcosh, hasDerivAt_tan, deriv_tan_sub_id, contDiffAt_log, leftDeriv_mul_log, differentiableAt_Gamma, hasStrictDerivAt_cosh, ProbabilityTheory.analyticOn_cgf, gradient_eq_deriv', intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, hasStrictDerivAt_log, IsMinOn.lineDerivWithin_eq_zero, iteratedDeriv_add_one_cos, SmoothBumpFunction.ball_subset, SchwartzMap.smulRightCLM_apply_apply, differentiableOn_Gamma_Ioi, differentiableOn_mul_log, ProbabilityTheory.analyticAt_cgf, HasDerivAt.complexToReal_fderiv', fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, integrableOn_Ioi_deriv_ofReal_cpow, ExistsContDiffBumpBase.u_exists, deriv_mulExpNegMulSq, deriv_fourierIntegral, dense_differentiableAt_norm, SmoothBumpFunction.eqOn_source, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn, MonotoneOn.intervalIntegral_deriv_mem_uIcc, deriv_qaryEntropy, contDiffPointwiseHolderAt_iff, deriv_arctan, monotoneOn_deriv_descPochhammer_eval, SmoothPartitionOfUnity.sum_eq_one', iteratedDerivWithin_sinh_Icc, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, SmoothPartitionOfUnity.mem_finsupport, has_antideriv_at_fourier_neg, differentiableAt_log_iff, IsOpen.exists_contMDiff_support_eq, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, Orientation.areaForm'_apply, hasStrictDerivAt_const_rpow_of_neg, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, contDiff_arsinh, contDiff_fourierIntegral, MeasureTheory.dist_convolution_le, intervalIntegral.integral_hasStrictFDerivAt, contDiffAt_arcsin_iff, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, analyticAt_sigmoid, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, contDiffAt_norm, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, OpenPartialHomeomorph.contDiffOn_univUnitBall_symm, MeasureTheory.norm_weightedSMul_le, differentiableAt_abs_neg, hasDerivAt_fourier_neg, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, hasStrictDerivAt_abs, iteratedDerivWithin_sin_Icc, SchwartzMap.fourierInv_lineDerivOp_eq, iteratedDeriv_odd_sinh, hasDerivAt_cos, hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, differentiableWithinAt_arcsin_Ici, hasDerivWithinAt_arcsin_Ici, hasDerivAt_taylorWithinEval_succ, IsMIntegralCurveAt.hasMFDerivAt, intervalIntegral.deriv_integral_left, contDiff_norm_sq, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, aestronglyMeasurable_derivWithin_Ici, deriv_abs_pos, ProbabilityTheory.hasFPowerSeriesAt_mgf, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, Conformal.differentiable, differentiableAt_cosh, taylorWithinEval_succ, conformalAt_iff_isConformalMap_fderiv, exists_msmooth_support_eq_eq_one_iff, Polynomial.hermite_eq_deriv_gaussian', intervalIntegral.derivWithin_integral_right, analyticOnNhd_arsinh, analyticAt_arcosh, ContDiffAt.real_of_complex, hasStrictFDerivAt_norm_sq, SmoothPartitionOfUnity.coe_finsupport, SchwartzMap.fourier_evalCLM_eq, Emetric.exists_contMDiffMap_forall_closedBall_subset, SchwartzMap.contDiffAt, deriv_exp, contDiff_sin, SchwartzMap.hasFDerivAt, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, SchwartzMap.evalCLM_apply_apply, SingularManifold.boundaryless, hasDerivAt_rpow_const, IsMinOn.lineDeriv_eq_zero, differentiableAt_norm_smul, iter_deriv_exp, Metric.exists_contMDiffMap_forall_closedBall_subset, differentiable_iteratedDeriv_cos, exists_msmooth_zero_iff_one_iff_of_isClosed, isTheta_deriv_rpow_const_atTop, IccLeftChart_extend_bot, conformalFactorAt_inner_eq_mul_inner', SmoothPartitionOfUnity.finsum_smul_mem_convex, ContDiffMapSupportedIn.seminorm_le_iff_withOrder, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, tendsto_rightDeriv_mul_log_atTop, hasStrictDerivAt_arsinh, HarmonicAt.analyticAt, SmoothPartitionOfUnity.sum_le_one', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, AnalyticWithinAt.re_ofReal, contDiff_cos, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, instIsRiemannianManifoldModelWithCornersSelfReal, eventually_norm_symmL_trivializationAt_self_comp_lt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, SmoothBumpFunction.isClosed_image_of_isClosed, SmoothPartitionOfUnity.sum_nonneg, MeasureTheory.L1.nnnorm_Integral_le_one, Manifold.riemannianEDist_def, hasDerivAt_circleMap, one_div_one_sub_rpow_hasFPowerSeriesOnBall_zero, iteratedDeriv_even_cos, curveIntegralFun_def', modelWithCornersEuclideanHalfSpace_zero, ContinuousLinearMap.norm_extendTo𝕜'_bound, SmoothBumpFunction.isClosed_symm_image_closedBall, differentiableAt_arctan, differentiableWithinAt_abs_neg, ProbabilityTheory.iteratedDeriv_mgf_zero, differentiableOn_negMulLog, hasDerivAt_fourier, OpenPartialHomeomorph.contDiff_univBall, rightDeriv_mul_log, hasStrictDerivAt_abs_neg, intervalIntegral.deriv_integral_of_tendsto_ae_right, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, SmoothBumpCovering.exists_finset_toSmoothPartitionOfUnity_eventuallyEq, deriv_circleMap, analyticWithinAt_cos, ProbabilityTheory.deriv_mgf, ExistsContDiffBumpBase.u_smooth, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', contDiff_fourier, LipschitzWith.ae_differentiableAt, differentiableWithinAt_arcsin_Iic, Polynomial.hermite_eq_deriv_gaussian, SingularManifold.instBoundarylessManifoldRealM, Complex.conjCLE_nnorm, HasStrictDerivAt.complexToReal_fderiv', contMDiffWithinAt_comp_projIcc_iff, hasFDerivAt_polarCoord_symm, AnalyticWithinAt.im_ofReal, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, deriv_arcsin, SchwartzMap.le_seminorm, ConvexOn.monotoneOn_leftDeriv, iteratedDeriv_fourier, differentiable_sin, eventually_norm_symmL_trivializationAt_comp_self_lt, eulerMascheroniConstant_eq_neg_deriv, not_differentiableAt_inv_log_zero, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, deriv_mul_log, IsOpen.exists_msmooth_support_eq_aux, contDiffAt_rpow_const, logDeriv_exp, SmoothBumpFunction.eventuallyEq_of_mem_source, ContinuousLinearMap.norm_extendTo𝕜', NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, OpenPartialHomeomorph.contDiff_unitBallBall, exists_contMDiff_zero_iff_one_iff_of_isClosed, IsMaxOn.lineDerivWithin_eq_zero, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, intervalIntegral.derivWithin_integral_of_tendsto_ae_right, differentiableAt_tan, differentiable_cosh, VectorFourier.contDiff_fourierIntegral, ContDiffBump.contDiff_normed, Diffeology.isPlot_iff_contDiff, contDiffAt_inner, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, eventually_enorm_mfderiv_extChartAt_lt, enorm_tangentSpace_vectorSpace, hasDerivAt_log, oneTangentSpaceIcc_def, IccRightChart_extend_top_mem_frontier, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, InnerProductSpace.laplacianWithin_eq_iteratedDerivWithin_real, Module.Basis.parallelepiped_eq_map, SmoothPartitionOfUnity.sum_eq_one, SchwartzMap.hasDerivAt, RCLike.ofRealCLM_norm, ContDiffBump.contDiffAt, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, hasStrictDerivAt_arctan, IsLocalMax.lineDeriv_eq_zero, intervalIntegral.differentiable_integral_of_continuous, iteratedDeriv_odd_cosh, LipschitzWith.locallyIntegrable_lineDeriv, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, SmoothBumpCovering.embeddingPiTangent_injOn, analyticOn_sin, hasDerivAt_mulExpNegMulSq, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, eventually_norm_symmL_trivializationAt_lt, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, differentiableOn_arccos, IsLocalMin.deriv_eq_zero, hasDerivAt_cosh, tendsto_deriv_mul_log_atTop, LipschitzOnWith.ae_differentiableWithinAt_real, SmoothBumpCovering.mem_extChartAt_ind_source, SchwartzMap.tsupport_fderivCLM_subset, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, hasDerivAt_fourierChar, analyticWithinAt_sigmoid, analyticOn_sigmoid, Complex.conjCLE_enorm, differentiableWithinAt_arccos_Iic, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_withOrder, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, iteratedDerivWithin_sinh_Ioo, expNegInvGlue.contDiff, ODE.hasDerivWithinAt_picard_Icc, iteratedFDeriv_fourier, hasFPowerSeriesOnBall_linear_zero, differentiableAt_abs_pos, contDiffOn_arccos, hasDerivAt_Gamma_one_half, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, isMIntegralCurveAt_comp_mul_ne_zero, setOf_riemannianEDist_lt_subset_nhds, range_mfderiv_coe_sphere, eventually_riemannianEDist_le_edist_extChartAt, IsMIntegralCurve.comp_mul, iteratedDeriv_even_sinh, one_add_rpow_hasFPowerSeriesAt_zero, hasFDerivAt_fourierIntegral, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, differentiable_mulExpNegMulSq, differentiableAt_arccos, not_DifferentiableAt_log_mul_zero, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, contDiff_sinh, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, MeasureTheory.LocallyIntegrable.exists_contDiff_dist_le_of_forall_mem_ball_dist_le, SmoothBumpFunction.coe_def, SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, InformationTheory.rightDeriv_klFun, interior_range_modelWithCornersEuclideanHalfSpace, ExistsContDiffBumpBase.y_smooth, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, contDiff_inner, hasDerivAt_Gamma_one, hasStrictDerivAt_cos, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, not_differentiableAt_rpow_const_zero, EulerSine.antideriv_cos_comp_const_mul, curveIntegral_eq_intervalIntegral_deriv, RightDerivMeasurableAux.differentiable_set_eq_D, contDiff_arctan, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.iteratedDeriv_two_cgf, measurableSet_of_differentiableWithinAt_Ioi, iteratedDeriv_add_one_sin, differentiable_iteratedDeriv_sin, SmoothPartitionOfUnity.exists_pos_of_mem, ProbabilityTheory.deriv_mgf_zero, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, deriv_sigmoid, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, intervalIntegral.fderivWithin_integral_of_tendsto_ae, one_add_rpow_hasFPowerSeriesAt_zero, iteratedDeriv_even_sin, exists_smooth_zero_one_of_isClosed, EulerSine.antideriv_sin_comp_const_mul, analyticOnNhd_cos, analyticAt_log, Diffeology.IsPlot.contDiff, ContDiffBump.convolution_eq_right, measurable_derivWithin_Ioi, ProbabilityTheory.deriv_cgf, contDiff_stereoInvFunAux, expNegInvGlue.contDiff_polynomial_eval_inv_mul, intervalIntegral.integral_hasFDerivWithinAt, SmoothBumpCovering.embeddingPiTangent_injective, instIsContMDiffRiemannianBundleTrivial, exists_contMDiff_support_eq_eq_one_iff, hasDerivAt_gronwallBound, EuclideanGeometry.hasFDerivAt_inversion, isBigO_deriv_ofReal_cpow_const_atTop, stronglyMeasurable_derivWithin_Ici, hasDerivAt_ofReal_cpow_const, hasDerivAt_norm_rpow, differentiableAt_tan_of_mem_Ioo, not_continuousAt_deriv_qaryEntropy_zero, SmoothPartitionOfUnity.sum_finsupport_smul_eq_finsum, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, contDiff_cosh, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, analyticAt_arsinh, AkraBazziRecurrence.differentiableAt_smoothingFn, SchwartzMap.fderivCLM_fourier_eq, SchwartzMap.derivCLM_apply, deriv_cos, iteratedDeriv_exp_const_mul, differentiableAt_binEntropy, ContDiffBump.dist_normed_convolution_le, SmoothPartitionOfUnity.sum_finsupport, hasDerivAt_arctan', deriv_bernoulliFun, intervalIntegral.integral_hasDerivAt_right, deriv2_qaryEntropy, differentiableAt_exp, hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, LipschitzWith.ae_differentiableAt_of_real, abs_iteratedDeriv_sin_le_one, IsOpen.exists_contDiff_support_eq, contDiff_rpow_const_of_le, exists_smooth_forall_mem_convex_of_local_const, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, contDiffOn_arcosh, ProbabilityTheory.analyticOnNhd_mgf, differentiable_iteratedDeriv_cosh, hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, ContDiffPointwiseHolderAt.contDiffAt, Manifold.pathELength_eq_lintegral_mfderiv_Icc, ContDiffPointwiseHolderAt.fderiv, hasFDerivAt_pi_polarCoord_symm, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, analyticAt_cosh, norm_tangentSpace_vectorSpace, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, contDiffAt_rpow_const_of_ne, Continuous.exists_contDiff_approx, isMIntegralCurveOn_comp_mul_ne_zero, ProbabilityTheory.iteratedDeriv_two_cgf_eq_integral, differentiable_fourierChar, logDeriv_sin, deriv_cos', SmoothBumpCovering.support_toSmoothPartitionOfUnity_subset, isBigO_deriv_rpow_const_atTop, SchwartzMap.decay, Continuous.deriv_integral, deriv_rpow_const', differentiableAt_arcosh, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, SchwartzMap.lineDerivOp_apply_eq_fderiv, SingularManifold.instIsManifoldRealM, hasStrictDerivAt_sqrt, TestFunction.contDiff', hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, iter_deriv_rpow_const, Complex.imCLM_nnnorm, SmoothBumpFunction.contMDiff, AnalyticAt.re_ofReal, hasDerivAt_exp, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, MeasureTheory.norm_condExpInd_le, SmoothPartitionOfUnity.finite_tsupport, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, iteratedDerivWithin_cosh_Icc, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, analyticWithinAt_rexp, IsMIntegralCurveAt.comp_mul_ne_zero, OpenPartialHomeomorph.contDiffOn_univBall_symm, deriv_fourierChar, iteratedFDeriv_fourierIntegral, hasDerivWithinAt_abs_neg, StieltjesFunction.ae_hasDerivAt, contDiffWithinAt_abs, contDiffAt_arccos, differentiableAt_negMulLog, SmoothBumpFunction.tsupport_subset_extChartAt_source, setOf_riemmanianEDist_lt_subset_nhds', exists_embedding_euclidean_of_compact, hasDerivAt_ofReal_cpow_const', analyticOn_arsinh, analyticWithinAt_sin, differentiable_fourierChar_neg_bilinear_right, Complex.conjCLE_norm, hasFDerivAt_integral_of_dominated_of_fderiv_le'', MeasureTheory.L1.norm_Integral_le_one, AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Complex.imCLM_enorm, IsMaxOn.lineDeriv_eq_zero, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, SchwartzMap.le_seminorm', differentiable_norm_rpow, VectorFourier.norm_fourierSMulRight_le, iteratedDeriv_odd_sin, Complex.ofRealCLM_enorm, one_div_sub_pow_hasFPowerSeriesOnBall_zero, ContDiffMapSupportedIn.bounded_iteratedFDeriv, analyticOn_sinh, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, differentiableAt_sinh, differentiable_iteratedDeriv_sinh, VectorFourier.norm_fourierPowSMulRight_le, derivWithin_Ioi_eq_Ici, SmoothPartitionOfUnity.mem_fintsupport_iff, Emetric.exists_smooth_forall_closedBall_subset, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, hasFDerivAt_fourierChar_neg_bilinear_right, ContDiffMapSupportedIn.continuous_iff_comp, UniformContinuous.exists_contDiff_dist_le, VectorFourier.norm_fourierSMulRight, differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, InnerProductSpace.laplacian_eq_iteratedDeriv_real, intervalIntegral.integral_hasStrictDerivAt_right, SchwartzMap.fourier_fderivCLM_eq, Complex.hasStrictFDerivAt_log_real, analyticWithinAt_arcosh, iteratedDeriv_fourierIntegral, hasStrictDerivAt_tan, intervalIntegral.integral_hasStrictDerivAt_left, ProbabilityTheory.deriv_cgf_zero, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, differentiable_fourierChar_neg_bilinear_left, fderiv_norm_smul_pos, hasDerivAt_arctan, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.reCLM_norm, range_modelWithCornersEuclideanHalfSpace, analyticWithinAt_arsinh, iteratedDerivWithin_cosh_Ioo, ContDiffPointwiseHolderAt.iteratedFDeriv, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, nnnorm_tangentSpace_vectorSpace, ContDiffMapSupportedIn.structureMapCLM_zero_injective, SchwartzMap.lineDerivOp_apply, deriv_arcsin_aux, IsLocalMin.fderiv_eq_zero, IsLocalMin.lineDeriv_eq_zero, contDiff_norm_rpow, exists_contDiff_tsupport_subset, differentiableAt_qaryEntropy, aemeasurable_derivWithin_Ici, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, differentiable_arsinh, SchwartzMap.smulLeftCLM_ofReal, fderiv_norm_rpow, intervalIntegral.integral_hasDerivAt_left, isTheta_deriv_ofReal_cpow_const_atTop, hasStrictDerivAt_const_rpow, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, CircleIntegrable.out, analyticOnNhd_sinh, hasDerivAt_fourierIntegral, AnalyticOn.re_ofReal, deriv_circleMap_eq_zero_iff, SchwartzMap.smooth', contDiff_exp, differentiable_rpow_const, analyticWithinAt_cosh, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, IsRiemannianManifold.out, SmoothPartitionOfUnity.toPartitionOfUnity_toFun, differentiableWithinAt_complex_iff_differentiableWithinAt_real, IsExtrFilter.lineDeriv_eq_zero, intervalIntegral.derivWithin_integral_left, mfderiv_subtype_coe_Icc_one, hasStrictFDerivAt_rpow_of_neg, intervalIntegral.deriv_integral_of_tendsto_ae_left, hasStrictDerivAt_rpow_const, ContDiffPointwiseHolderAt.zero_exponent_iff, intervalIntegral.integral_hasFDerivAt, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, eventually_norm_trivializationAt_lt, SmoothBumpFunction.nhdsWithin_range_basis, hasDerivAt_Gamma_nat, Diffeology.DSmooth.contDiff, differentiableAt_abs, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, ProbabilityTheory.analyticAt_iteratedDeriv_mgf, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, logDeriv_cos, exists_smooth_zero_one_nhds_of_isClosed, not_continuousAt_deriv_qaryEntropy_one, logDeriv_cosh, measurable_derivWithin_Ici, contDiffAt_arcsin, differentiableAt_sin, ContDiff.real_of_complex, Complex.reCLM_enorm, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, hasDerivAt_sinh, Manifold.exists_lt_of_riemannianEDist_lt, VectorFourier.hasFDerivAt_fourierChar_smul, InformationTheory.not_differentiableAt_klFun_zero, deriv_cosh, ProbabilityTheory.variance_tilted_mul, exists_extension_norm_eq, ContDiffMapSupportedIn.structureMapLM_zero_apply, SchwartzMap.differentiableAt, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, deriv_sin, SmoothBumpCovering.embeddingPiTangent_coe, SchwartzMap.integral_smul_deriv_right_eq_neg_left, SmoothPartitionOfUnity.nonneg', AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, ProbabilityTheory.analyticOn_iteratedDeriv_mgf, VectorFourier.integrable_fourierPowSMulRight, expNegInvGlue.differentiable_polynomial_eval_inv_mul, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, analyticOnNhd_arcosh, exists_contMDiffMap_one_nhds_of_subset_interior, deriv_mul_log_zero, SmoothPartitionOfUnity.sum_le_one, ContDiffPointwiseHolderAt.zero_order_iff, hasDerivAt_sqrt, analyticOn_rexp, IccRightChart_extend_top, SchwartzMap.one_add_le_sup_seminorm_apply, taylor_within_apply, hasDerivWithinAt_arccos_Iic, ContDiffBump.convolution_tendsto_right_of_continuous, measurableSet_of_differentiableWithinAt_Ici, eventually_norm_mfderiv_extChartAt_lt, contDiffOn_arcsin, boundary_Icc, SchwartzMap.smooth, contDiffAt_arccos_iff, deriv_sqrt_mul_log', isMIntegralCurve_comp_mul_ne_zero, differentiableAt_binEntropy_iff_ne_zero_one, SchwartzMap.integrable_pow_mul_iteratedFDeriv, fderiv_fourierChar_neg_bilinear_left_apply, deriv_tan, TestFunctionClass.map_contDiff, differentiable_fourier, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, Function.HasTemperateGrowth.isBigO_uniform, exists_contMDiffMap_forall_mem_convex_of_local_const, contDiffAt_rpow_of_ne, hasStrictDerivAt_exp, InformationTheory.deriv_klFun, one_add_rpow_hasFPowerSeriesOnBall_zero, AnalyticOnNhd.im_ofReal, boundary_product, differentiable_sigmoid, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, one_div_sub_sq_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, ContDiffMapSupportedIn.structureMapLM_apply, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, ContDiffBump.contDiffWithinAt, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, curveIntegralFun_def, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, deriv_fourier, contDiff_sigmoid, setOf_riemannianEDist_lt_subset_nhds', IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, fderiv_norm_sq, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Function.HasTemperateGrowth.isBigO, conformalAt_iff', hasDerivWithinAt_arcsin_Iic, hasDerivAt_abs_pos, ContDiffMapSupportedIn.structureMapLM_eq, eventually_riemannianEDist_lt, IsMIntegralCurveAt.eventually_hasDerivAt, hasFDerivAt_stereoInvFunAux_comp_coe, LipschitzWith.integral_lineDeriv_mul_eq, iteratedDerivWithin_sin_Ioo, instIsManifoldIcc, SmoothBumpCovering.toSmoothPartitionOfUnity_zero_of_zero, contDiffAt_abs, deriv2_sqrt_mul_log, SmoothPartitionOfUnity.contMDiff_sum, hasStrictDerivAt_log_of_pos, contMDiffOn_projIcc, Metric.exists_contMDiffMap_forall_closedEBall_subset, contMDiff_circleExp, SmoothBumpFunction.image_eq_inter_preimage_of_subset_support, deriv2_negMulLog, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, SmoothBumpFunction.closedBall_subset, intervalIntegral.differentiableOn_integral_of_continuous, differentiable_circleMap, SmoothBumpFunction.isCompact_symm_image_closedBall, smoothTransition.contDiff, AnalyticAt.im_ofReal, differentiableAt_negMulLog_iff, IsLocalMinOn.fderivWithin_eq_zero, deriv2_mul_log, ProbabilityTheory.analyticOnNhd_iteratedDeriv_mgf, SmoothBumpFunction.ball_inter_range_eq_ball_inter_target, hasDerivAt_negMulLog, Diffeology.dSmooth_iff_contDiff, aemeasurable_derivWithin_Ioi
normedField 📖	CompOp	2398 math, 1 bridge math: MeasureTheory.Measure.exists_innerRegular_eq_of_isCompact, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeasureTheory.Measure.integral_comp_inv_smul, MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal, differentiableOn_arcosh, Affine.Simplex.isTangentAt_insphere_iff_eq_touchpoint, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, hasDerivAt_arccos, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, MeasureTheory.tendsto_integral_thickenedIndicator_of_isClosed, TemperedDistribution.lineDerivOpCLM_eq, MeasureTheory.integral_eq_iff_of_ae_le, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Orientation.oangle_sign_smul_add_right, MeasureTheory.setIntegral_tilted, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, Seminorm.isBounded_const, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, isConformalMap_conj, EuclideanGeometry.dist_smul_vadd_sq, Bundle.ContMDiffRiemannianMetric.isVonNBounded, SchwartzMap.lineDerivOpCLM_eq, real_inner_div_norm_mul_norm_eq_neg_one_iff, ConformalAt.differentiableAt, Orientation.oangle_ne_zero_and_ne_pi_iff_linearIndependent, MeasureTheory.condExpInd_of_measurable, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, Bundle.ContMDiffRiemannianMetric.contMDiff, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, MonotoneOn.intervalIntegral_slope_le, ProbabilityTheory.isGaussian_iff_gaussian_charFun, differentiable_arctan, ProperCone.innerDual_le_innerDual, RCLike.map_apply, differentiableAt_mulExpNegMulSq, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, Complex.restrictScalars_one_smulRight', MeasureTheory.eval_integral, MeasureTheory.aestronglyMeasurable_condExpInd, MeasureTheory.setIntegral_nonpos_ae, MeasureTheory.Martingale.smul, IsSelfAdjoint.quasispectrumRestricts, mellin_eq_fourier, SchwartzMap.instLineDerivLeftSMulReal, taylorWithin_succ, MeasureTheory.Measure.addHaar_image_continuousLinearMap, Matrix.IsHermitian.isClosedEmbedding_cfcAux, RCLike.ofRealCLM_apply, dimH_of_mem_nhds, MeasureTheory.charFun_eq_fourierIntegral', hasFDerivAt_fourierChar_neg_bilinear_left, differentiableAt_arcsin, segment_subset_closedBall_right, real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul, Complex.linearEquiv_det_conjLIE, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, Isometry.preimage_perpBisector, RCLike.reCLM_apply, NumberField.Units.finrank_eq_rank, MeasureTheory.hausdorffMeasure_segment, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_face, Affine.Simplex.smul_mongePoint_vsub_circumcenter_eq_sum_vsub, CStarAlgebra.mem_Icc_algebraMap_iff_norm_le, Orientation.inner_rotation_pi_div_two_right_smul, Orientation.oangle_add_left_smul_rotation_pi_div_two, CFC.monotoneOn_one_sub_one_add_inv, fourierIntegral_comp_linearIsometry, fderiv_fourierIntegral, Affine.Simplex.sSameSide_excenter_singleton_point, MeasureTheory.integral_smul_nnreal_measure, ConvexOn.rightDeriv_le_slope_of_mem_interior, Affine.Simplex.neg_mul_lt_inner_vsub_altitudeFoot, hasDerivAt_sqrt_mul_log, LinearMap.IsSymmetric.restrictScalars, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, IsometryEquiv.toRealLinearIsometryEquiv_symm_apply, ZSpan.volume_real_fundamentalDomain, Complex.ofRealCLM_coe, Complex.kahler, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left, ContinuousMap.integral_apply, MeasureTheory.Measure.integral_comp_mul_right, RightDerivMeasurableAux.D_subset_differentiable_set, Complex.areaForm, ZSpan.fundamentalDomain_measurableSet, intervalIntegral.inv_smul_integral_comp_div_add, finrank_real_complex_fact', deriv_negMulLog, hasDerivAt_sigmoid, EuclideanGeometry.Sphere.isDiameter_iff_right_mem_and_midpoint_eq_center, PositiveLinearMap.apply_le_of_isSelfAdjoint, Matrix.IsHermitian.det_abs, MeasureTheory.exists_notMem_null_le_integral, RCLike.ofRealLI_apply, HasCompactSupport.integral_Ioi_deriv_eq, ModularForm.mul_slash, deriv_abs, curveIntegrable_segment, Affine.Simplex.finiteDimensional_direction_altitude, ProbabilityTheory.covarianceBilinDual_apply', nnnorm_deriv_mulExpNegMulSq_le_one, deriv_binEntropy, CFC.monotone_nnrpow, AffineSubspace.mem_perpBisector_iff_inner_eq_zero', intervalIntegral.integral_derivWithin_uIcc_of_contDiffOn_uIcc, MeasureTheory.charFunDual_apply, Complex.ofRealLI_apply, Affine.Simplex.circumcenter_map, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, intervalIntegral.integral_hasDerivWithinAt_right, BoundedContinuousFunction.integral_eq_integral_nnrealPart_sub, ProbabilityTheory.hasGaussianLaw_iff_charFunDual_map_eq, norm_add_eq_iff_real, Complex.integral_comp_pi_polarCoord_symm, CFC.tendsto_cfc_rpow_sub_one_log, contDiffAt_norm_smul_iff, ProbabilityTheory.IsGaussian.integrable_dual, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_ne, SchwartzMap.pairing_apply_apply, ContDiffMapSupportedIn.iteratedFDerivLM_apply, MeasureTheory.weightedSMul_apply, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ContinuousLinearMap.comp_condExp_comm, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, Orientation.linearEquiv_det_rotation, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, EuclideanGeometry.Sphere.wbtw_secondInter, Orientation.tan_oangle_add_left_smul_rotation_pi_div_two, Affine.Simplex.inv_height_eq_sum_mul_inv_dist, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_faceOpposite, MeasureTheory.fst_integral_withLp, EuclideanGeometry.Cospherical.affineIndependent_of_mem_of_ne, PeriodPair.basis_one, MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, RCLike.conjCLE_norm, AffineSpace.cobounded_eq_iSup_sphere_asymptoticNhds, ProperCone.innerDual_univ, Affine.Simplex.circumcenter_mem_affineSpan, HasDerivWithinAt.complexToReal_fderiv', Affine.Simplex.affineSpan_pair_altitudeFoot_eq_altitude, Orientation.kahler_comp_rightAngleRotation', dist_sq_lineMap_lineMap_of_inner_eq_zero, circleIntegral_def_Icc, StrictConvexSpace.of_norm_add_ne_two, MeasureTheory.integral_unique, Orientation.rotation_eq_self_iff, setIntegral_withDensity_eq_setIntegral_smul₀, Affine.Simplex.excenter_singleton_mem_affineSpan_range, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_ae, intervalIntegral.intervalIntegral_eq_integral_uIoc, not_bounded_iff_exists_ne_zero_mem_asymptoticCone, ZLattice.covolume_eq_det_inv, ContinuousLinearMap.integral_apply, RCLike.algebraMap_eq_ofReal, Orientation.two_zsmul_oangle_smul_left_of_ne_zero, circleIntegrable_iff, ProbabilityTheory.covarianceBilinDual_apply, hasFDerivAt_stereoInvFunAux, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, IsOpen.exists_subset_affineIndependent_span_eq_top, fderiv_fourierChar_neg_bilinear_right_apply, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, Unitization.real_cfcₙ_eq_cfc_inr, PMF.bernoulli_expectation, real_inner_smul_self_left, intervalIntegral.fderiv_integral_of_tendsto_ae, LipschitzWith.memLp_lineDeriv, SmoothPartitionOfUnity.contMDiffAt_finsum, Affine.Simplex.dist_point_faceOppositeCentroid, differentiableWithinAt_abs_pos, ContDiffMapSupportedIn.structureMapCLM_apply, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, det_fderivPolarCoordSymm, setIntegral_withDensity_eq_setIntegral_toReal_smul, MeasureTheory.integral_mul_norm_le_Lp_mul_Lq, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_right, Affine.Simplex.incenter_map, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, differentiable_sinh, MeasureTheory.Measure.toSphere_apply_aux, Orientation.neg_rotation, AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, GaussianFourier.integral_cexp_neg_mul_sq_norm, tendsto_integral_peak_smul_of_integrable_of_tendsto, RCLike.map_same_eq_id, ProbabilityTheory.covarianceBilin_apply_eq_cov, ProbabilityTheory.covarianceBilin_self, AffineSubspace.left_mem_perpBisector, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, EuclideanGeometry.preimage_inversion_perpBisector_inversion, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, Affine.Triangle.sSameSide_affineSpan_pair_point_incenter, selfAdjoint.expUnitaryPathToOne_apply, Orientation.eq_rotation_self_iff_angle_eq_zero, hasDerivAt_bernoulliFun, Orientation.volumeForm_neg_orientation, CFC.nnnorm_sqrt, IsometryEquiv.toRealLinearIsometryEquiv_apply, MeasureTheory.condExpIndL1Fin_smul, ProbabilityTheory.uncenteredCovarianceBilin_apply, InnerProductGeometry.angle_smul_right_of_pos, deriv_log, CStarAlgebra.norm_or_neg_norm_mem_spectrum, intervalIntegral.integral_comp_sub_div, Isometry.coe_affineIsometryOfStrictConvexSpace, Complex.ofRealCLM_norm, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, intervalIntegral.integral_comp_mul_left, LipschitzWith.ae_exists_fderiv_of_countable, rotation_injective, Continuous.integral_hasStrictDerivAt, BoxIntegral.unitPartition.mem_smul_span_iff, intervalIntegral.integral_comp_mul_sub, SchwartzMap.bilinLeftCLM_apply, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_ne, HasGradientAt.hasDerivAt', Affine.Triangle.sbtw_touchpoint_singleton, Affine.Triangle.dist_point_faceOppositeCentroid, ContinuousLinearMap.comp_condExp_add_const_comm, Bundle.RiemannianMetric.isVonNBounded, MeasureTheory.toReal_rnDeriv_tilted_left, Orientation.tan_oangle_add_right_smul_rotation_pi_div_two, Affine.Simplex.mem_circumsphere, Complex.convexHull_reProdIm, Complex.conjLIE_apply, one_mem_posTangentConeAt_iff_frequently, hasDerivAt_sin, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, fourierIntegral_gaussian_innerProductSpace', ProbabilityTheory.integral_gaussianReal_eq_integral_smul, EuclideanGeometry.Sphere.mem_commonExtTangents_iff, InnerProductSpace.canonicalCovariantTensor_eq_sum, RCLike.re_add_im_ax, MeasureTheory.charFun_eq_fourierIntegral, Matrix.PosSemidef.sqrt_eq_zero_iff, differentiableOn_log, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, combo_mem_ball_of_ne, lintegral_fderiv_lineMap_eq_edist, EuclideanGeometry.oangle_sign_eq_zero_iff_collinear, MeasureTheory.integral_const_mul, MeasureTheory.isAddHaarMeasure_hausdorffMeasure, signedDist_right_congr, ProbabilityTheory.hasGaussianLaw_iff_charFun_map_eq, GaussianFourier.integral_cexp_neg_mul_sq_norm_add, differentiableOn_arcsin, conformal_const_smul, Complex.hasStrictFDerivAt_exp_real, ModularForm.prod_slash, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_gt, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Module.Basis.parallelepiped_basisFun, SchwartzMap.laplacianCLM_eq, monomial_has_deriv_aux, Affine.Simplex.ExcenterExists.affineCombination_eq_excenter_iff, vector_fourierIntegral_eq_integral_exp_smul, MeasureTheory.integral_div, hasDerivAt_mul_log, EuclideanGeometry.Sphere.mem_tangentsFrom_iff, ProbabilityTheory.covarianceOperator_apply, InnerProductGeometry.angle_smul_left_of_neg, differentiableWithinAt_abs, MeasureTheory.integral_tilted, ContDiffAt.laplacian_CLM_comp_left, deriv_arccos, MeasureTheory.average_mem_openSegment_compl_self, hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, isSelfAdjoint_iff_isStarNormal_and_spectrumRestricts, LocallyBoundedVariationOn.ae_differentiableWithinAt, MeasureTheory.Measure.toSphere_real_apply_univ, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_quasispectrum, cfcₙHom_nnreal_eq_restrict, TestFunction.toBoundedContinuousFunctionCLM_apply, Conformal.const_smul, ContinuousLinearEquiv.hasTemperateGrowth, stronglyMeasurable_derivWithin_Ioi, SchwartzMap.fderivCLM_apply, hasStrictDerivAt_abs_pos, deriv_sqrt_mul_log, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, EuclideanGeometry.Sphere.mem_commonTangents_iff, intervalIntegral.deriv_integral_right, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, AddCircle.integral_haarAddCircle, hasStrictFDerivAt_rpow_of_pos, centerMass_mem_ball_of_strictConvexSpace, InnerProductSpace.HarmonicAt.const_smul, differentiableAt_sigmoid, exists_dist_slope_lt_pairwiseDisjoint_hasSum, Affine.Simplex.excenterWeightsUnnorm_reindex, IsometryEquiv.midpoint_fixed, Orientation.oangle_smul_left_of_neg, Orientation.volumeForm_map, rotation_apply, toMatrix_rotation, MeasureTheory.Measure.addHaar_ball_of_pos, RCLike.smul_re, deriv_abs_neg, differentiableWithinAt_arccos_Ici, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, ModularForm.prod_slash_sum_weights, MeasureTheory.convolution_tendsto_right, smul_unitClosedBall_of_nonneg, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, AffineIsometryEquiv.pointReflection_midpoint_left, HarmonicAt.analyticAt_complex_partial, interior_convexHull_nonempty_iff_affineSpan_eq_top, Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff', MeasureTheory.weightedSMul_nonneg, signedDist_left_congr, MeasureTheory.measure_integral_le_pos, exists_deriv_eq_zero, Affine.Simplex.ExcenterExists.touchpoint_map, cfcₙ_integral, Orientation.inner_rightAngleRotation_swap', EuclideanGeometry.angle_eq_iff_oangle_eq_or_wbtw, MeasureTheory.Measure.addHaar_preimage_smul, setIntegral_withDensity_eq_setIntegral_toReal_smul', QuadraticForm.equivalent_signType_weighted_sum_squared, InformationTheory.leftDeriv_klFun_one, Module.Basis.parallelepiped_reindex, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_eq_of_scalars, curveIntegralFun_segment, RCLike.reCLM_norm, Besicovitch.SatelliteConfig.exists_normalized_aux2, signedDist_triangle, hasDerivAt_arcosh, cfcₙ_setIntegral, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_integrableOn, EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint, ConvexOn.monotoneOn_rightDeriv, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, convexOn_univ_dist, LocallyBoundedVariationOn.ae_differentiableAt, MonotoneOn.intervalIntegrable_deriv, Orientation.abs_volumeForm_apply_of_orthonormal, signedDist_linear_apply_apply, MeasureTheory.exists_average_le, Affine.Simplex.sSameSide_incenter_point, EuclideanGeometry.collinear_iff_of_two_zsmul_oangle_eq, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, fourier_gaussian_innerProductSpace, EuclideanGeometry.oangle_midpoint_right, Affine.Simplex.ExcenterExists.excenter_map, MeasureTheory.integral_eq_integral_pos_part_sub_integral_neg_part, NumberField.mixedEmbedding.negAt_apply_snd, nnnorm_algebraMap_nnreal, Orientation.neg_rotation_neg_pi_div_two, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.charFunDual_eq_charFun_map_one, InnerProductSpace.harmonicOnNhd_comp_CLE_iff, sameRay_iff_inv_norm_smul_eq_of_ne, norm_sum_lt_of_strictConvexSpace, UniformConvexOn.strictConvexOn, Orientation.oangle_sign_sub_smul_left, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge', MeasureTheory.SimpleFunc.integral_eq_sum_filter, hasStrictDerivAt_arccos, RCLike.conjCLE_apply, MeasureTheory.Measure.quasiMeasurePreserving_smul, MeasureTheory.MemLp.exists_boundedContinuous_integral_rpow_sub_le, Affine.Simplex.ExcenterExists.touchpoint_notMem_affineSpan_of_ne, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, EuclideanGeometry.Sphere.isTangentAt_of_dist_sq_eq_power, Affine.Simplex.abs_inner_vsub_altitudeFoot_div_lt_one, UpperHalfPlane.coe_pos_real_smul, MeasureTheory.integral_norm_eq_lintegral_enorm, CFC.continuousOn_log, Orientation.rightAngleRotation_def, EuclideanGeometry.angle_eq_zero_iff_eq_and_ne_or_sbtw, Euclidean.closedBall_eq_image, Affine.Simplex.touchpoint_singleton_mem_interior_faceOpposite, NumberField.mixedEmbedding.negAt_preimage, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, ContDiffPointwiseHolderAt.differentiableAt, QuadraticForm.equivalent_one_neg_one_weighted_sum_squared, Complex.deriv_ofReal_cpow_const, Affine.Simplex.excenterExists_reindex, Complex.starConvex_ofReal_slitPlane, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, EuclideanGeometry.Sphere.secondInter_collinear, fderiv_fourier, MeasureTheory.charFunDual_pi', RCLike.toIsStrictOrderedModule, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, MeasureTheory.Measure.addHaar_ball_mul, norm_deriv_mulExpNegMulSq_le_one, Quaternion.linearIsometryEquivTuple_symm_apply, Affine.Simplex.ninePointCircle_eq_circumsphere_medial, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, ProbabilityTheory.covarianceBilin_apply_basisFun_self, MeasureTheory.condExpInd_nonneg, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux, Orientation.areaForm_to_volumeForm, stereoInvFunAux_apply, norm_curveIntegral_segment_le, signedDist_le_dist, not_continuousAt_deriv_mul_log_zero, EuclideanGeometry.Sphere.IsTangentAt.mem_space, Affine.Simplex.circumcenter_reindex, SchwartzMap.fourier_lineDerivOp_eq, Complex.starConvex_one_slitPlane, EuclideanGeometry.affineSpan_of_orthocentricSystem, TemperedDistribution.instLineDerivLeftSMulReal, AffineSubspace.mem_perpBisector_iff_inner_eq_zero, Orientation.areaForm_neg_orientation, AffineBasis.interior_convexHull, EuclideanGeometry.inversion_vsub_center, Orientation.rightAngleRotation_trans_rightAngleRotation, MeasureTheory.pdf.integral_pdf_smul, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, CFC.continuousOn_sqrt, Monotone.ae_differentiableAt, norm_algebraMap_nnreal, MeasureTheory.condExpL2_indicator_ae_eq_smul, Affine.Simplex.excenter_eq_affineCombination, conformalAt_const_smul, Affine.Triangle.dist_div_sin_angle_eq_two_mul_circumradius, IsMIntegralCurveOn.hasDerivWithinAt, MeasureTheory.Measure.integral_toReal_rnDeriv', SimpleGraph.lapMatrix_toLinearMap₂'_apply'_eq_zero_iff_forall_reachable, NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, SchwartzMap.smulLeftCLM_real_smul, dimH_univ_eq_finrank, EuclideanGeometry.Sphere.commonIntTangents_union_commonExtTangents, MeasureTheory.Measure.integral_comp_inv_mul_left, ContDiffBump.measure_closedBall_div_le_integral, Orientation.kahler_eq_zero_iff, BoundedContinuousFunction.integral_const_sub, MeasureTheory.measure_smul_average, MeasureTheory.condExpL1CLM_of_aestronglyMeasurable', InnerProductSpace.HarmonicOnNhd.comp_CLM, Orientation.oangle_sign_sub_smul_right, ProperCone.innerDual_sUnion, AffineSubspace.perpBisector_nonempty, Complex.integral_comp_polarCoord_symm, signedDist_apply_apply, differentiableAt_rpow_const_of_ne, Orientation.oangle_smul_left_self_of_nonneg, Affine.Simplex.altitudeFoot_mem_affineSpan_image_compl, ProbabilityTheory.gaussianReal_map_continuousLinearMap, hasDerivAt_arsinh, SchwartzMap.differentiable, Orientation.areaForm_swap, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, taylor_tendsto, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, ProbabilityTheory.covarianceOperator_zero, HasFDerivAt.curveIntegral_segment_source, Bundle.ContinuousRiemannianMetric.symm, mellin_hasDerivAt_of_isBigO_rpow, LinearIsometryEquiv.measurePreserving, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, Affine.Simplex.finrank_direction_altitude, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, Complex.sameRay_of_arg_eq, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, EuclideanGeometry.Sphere.IsDiameter.wbtw, hasDerivAt_abs_neg, Affine.Simplex.mongePoint_mem_mongePlane, Orientation.kahler_swap, Orientation.det_rotation, strongConcaveOn_zero, Orientation.rotation_pi_apply, integral_withDensity_eq_integral_smul, MeasureTheory.L1.dist_eq_integral_dist, intervalIntegral.integral_comp_add_div, deriv_sqrt_aux, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux1, Affine.Simplex.isTangentAt_insphere_touchpoint, Orientation.rotation_rotation, convexHull_diam, MeasureTheory.integral_eq_zero_iff_of_nonneg, Affine.Simplex.excenterWeightsUnnorm_map, EuclideanGeometry.Sphere.IsExtTangentAt.wbtw, HasStrictDerivAt.real_of_complex, Matrix.PosSemidef.det_sqrt, StrictConvexSpace.of_norm_combo_ne_one, BoxIntegral.HasIntegral.smul, deriv_rpow_const, integral_smul_const, Continuous.integral_pos_of_hasCompactSupport_nonneg_nonzero, hasDerivWithinAt_abs, Affine.Simplex.ExcenterExists.affineSpan_faceOpposite_eq_orthRadius, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, MeasureTheory.Measure.integral_comp_smul_of_nonneg, convex_halfSpace_re_le, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, MeasureTheory.ofReal_setAverage, deriv_sinh, MeasureTheory.convolution_precompR_apply, ModularGroup.lcRow0Extend_symm_apply, norm_injOn_ray_right, InformationTheory.hasDerivAt_klFun, ProbabilityTheory.isPosSemidef_covarianceBilin, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, Orientation.kahler_comp_rightAngleRotation, Seminorm.ball_smul, MeasureTheory.SimpleFunc.setToSimpleFunc_add_left, EuclideanGeometry.oangle_eq_pi_iff_sbtw, ae_differentiableAt_norm, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, affinity_unitClosedBall, ContinuousLinearMap.contDiffPointwiseHolderAt, NumberField.Units.instZLattice_unitLattice, ContDiffBump.normed_le_div_measure_closedBall_rOut, Affine.Simplex.circumcenter_eq_affineCombination_of_pointsWithCircumcenter, MeasureTheory.integral_singleton', MeasureTheory.integral_exp_tilted, Orientation.volumeForm_zero_pos, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, Affine.Simplex.affineSpan_faceOpposite_eq_orthRadius_insphere, Matrix.IsHermitian.charpoly_cfc_eq, MeasureTheory.llr_tilted_right, SchwartzMap.laplacianCLM_eq', MeasureTheory.charFunDual_prod, EuclideanGeometry.Sphere.orthRadius_center, NumberField.Units.span_basisOfIsMaxRank, nnnorm_cfcₙ_nnreal_lt, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, FiniteDimensional.rclike_to_real, Complex.equivRealProdCLM_symm_apply, CStarAlgebra.nnnorm_le_iff_of_nonneg, ProbabilityTheory.strong_law_ae, HasGradientAtFilter.hasDerivAtFilter', Module.Basis.prod_addHaar, CompactlySupportedContinuousMap.coe_toRealLinearMap, IsLocalExtr.fderiv_eq_zero, ZSpan.measureReal_fundamentalDomain, SmoothPartitionOfUnity.contDiffAt_finsum, intervalIntegral.integral_hasDerivWithinAt_left, Polynomial.ofReal_eval, NumberField.Units.basisOfIsMaxRank_apply, MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaar, differentiableOn_rpow_const, EuclideanGeometry.Sphere.coe_secondInter, isBigO_rpow_top_log_smul, taylor_mean_remainder_lagrange_iteratedDeriv, PeriodPair.basis_zero, has_fderiv_at_filter_real_equiv, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Matrix.PosSemidef.posSemidef_sqrt, hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, MeasureTheory.setIntegral_condExpInd, Seminorm.gaugeSeminorm_ball, LipschitzWith.ae_lineDifferentiableAt, EuclideanGeometry.oangle_midpoint_rev_left, InformationTheory.leftDeriv_klFun, tendsto_integral_exp_smul_cocompact, MeasureTheory.integral_comp_rpow_Ioi_of_pos, Affine.Triangle.touchpoint_singleton_sbtw, curveIntegral_segment, TestFunction.postcompCLM_apply, Orientation.rotation_symm, IsSelfAdjoint.neg_algebraMap_norm_le_self, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, Affine.Simplex.exradius_map, ProbabilityTheory.differentiableAt_mgf, Orientation.oangle_eq_zero_iff_sameRay, RCLike.conjLIE_apply, convexOn_univ_norm, MeasureTheory.lpNorm_one_eq_integral_norm, ContinuousMapZero.integral_apply, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_eq, Affine.Triangle.dist_circumcenter_reflection_orthocenter, IsometryEquiv.coe_toRealAffineIsometryEquiv, MeasureTheory.Submartingale.smul_nonneg, RCLike.imLm_coe, openSegment_subset_ball_of_ne, NormedSpace.normalize_smul, MeasureTheory.integrable_withDensity_iff_integrable_smul', differentiable_cos, Orientation.angle_eq_iff_oangle_eq_or_sameRay, fourierIntegralInv_comp_linearIsometry, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, InnerProductGeometry.angle_eq_zero_iff, Affine.Simplex.abs_inner_vsub_altitudeFoot_lt_mul, Orientation.rotation_map, Orientation.oangle_rotation_left, StrictConvexSpace.of_pairwise_sphere_norm_ne_two, MeasureTheory.Measure.addHaar_preimage_continuousLinearMap, ProperCone.innerDual_zero, Affine.Simplex.excenterWeights_reindex, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, EuclideanGeometry.collinear_of_angle_eq_zero, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, sameRay_iff_of_norm_eq, EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, fourier_gaussian_innerProductSpace', norm_smul_of_nonneg, dist_affineCombination_lt_of_strictConvexSpace, ContDiffBump.convolution_tendsto_right, ContDiffAt.contDiffAt_norm_smul, Affine.Simplex.ExcenterExists.isTangentAt_touchpoint, MeasureTheory.L1.integral_def, Affine.Simplex.inradius_reindex, hasDerivAt_abs_rpow, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, signedDist_eq_zero_of_orthogonal, EuclideanGeometry.preimage_inversion_perpBisector, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, ZSpan.volume_fundamentalDomain, ProbabilityTheory.covarianceBilin_zero, RCLike.conjCLE_coe, Ioo_smul_sphere_zero, tendsto_integral_gaussian_smul', contDiffOn_stereoToFun, hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, Affine.Simplex.incenter_mem_interior, finrank_eq_int_finrank_of_discrete, Affine.Simplex.mongePoint_eq_affineCombination_of_pointsWithCircumcenter, Affine.Simplex.altitudeFoot_map, ZSpan.measure_fundamentalDomain, convex_halfSpace_im_gt, dist_midpoint_midpoint_le, Matrix.PosSemidef.sqrt_eq_one_iff, MeasureTheory.integral_tendsto_of_tendsto_of_antitone, deriv_Gamma_nat, stereoInvFun_apply, Isometry.mapsTo_perpBisector, EuclideanGeometry.Cospherical.affineIndependent_of_ne, MeasureTheory.integral_tendsto_of_tendsto_of_monotone, ProbabilityTheory.isGaussian_map_equiv_iff, Affine.Simplex.circumcenter_eq_point, fourierIntegral_convergent_iff', Matrix.PosSemidef.sqrt_sq, MeasureTheory.integral_indicatorConstLp, MeasureTheory.Measure.toSphere_apply_univ, hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, MeasureTheory.norm_integral_le_integral_norm, Bundle.ContMDiffRiemannianMetric.symm, MeasureTheory.charFunDual_eq_prod_iff, SchwartzMap.pairing_apply, fourier_comp_linearIsometry, MeasureTheory.Measure.integral_comp_smul, setIntegral_withDensity_eq_setIntegral_smul₀', hasDerivAt_qaryEntropy, real_inner_div_norm_mul_norm_eq_one_iff, ContDiffPointwiseHolderAt.snd, EuclideanGeometry.oangle_eq_zero_iff_wbtw, Monotone.ae_hasDerivAt, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', one_mem_posTangentConeAt_iff_mem_closure, RealRMK.rieszMeasure_le_of_eq_one, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_tendsto, ContDiffMapSupportedIn.uniformSpace_eq_iInf, LinearIsometryEquiv.coe_toMeasurableEquiv, RCLike.rank_le_two, curveIntegral_segment_const, MeasureTheory.L1.integral_eq_setToL1, Affine.Simplex.signedInfDist_apply_self, BoxIntegral.BoxAdditiveMap.volume_apply, VectorFourier.iteratedFDeriv_fourierIntegral, differentiableAt_rpow_of_ne, RCLike.reCLM_coe, ContDiffBump.normed_convolution_eq_right, ProbabilityTheory.gaussianReal_map_linearMap, differentiableAt_log, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, CStarAlgebra.norm_posPart_le, ContDiffMapSupportedIn.continuous_iff_comp_withOrder, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, MeasureTheory.norm_integral_le_of_norm_le, exists_mem_interior_convexHull_affineBasis, HarmonicAt.differentiableAt_complex_partial, differentiable_fourierIntegral, MeasureTheory.Measure.integral_toReal_rnDeriv, NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_single, Seminorm.comp_smul, intervalIntegral.smul_integral_comp_mul_sub, fourierInv_comp_linearIsometry, MeasureTheory.hasFDerivAt_convolution_right_with_param, ProbabilityTheory.IsGaussian.charFun_eq', deriv_inv_log, ProbabilityTheory.covarianceBilinDual_eq_covariance, Matrix.PosSemidef.eq_sqrt_iff_sq_eq, signedDist_zero, MeasureTheory.exists_notMem_null_le_average, MeasureTheory.condExpL1CLM_indicatorConstLp, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, CompactlySupportedContinuousMap.toRealLinearMap_apply, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, aestronglyMeasurable_derivWithin_Ioi, MeasureTheory.integrable_comp, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, SchwartzMap.integral_bilinear_deriv_right_eq_neg_left, ProbabilityTheory.covarianceBilinDual_zero, Affine.Simplex.ExcenterExists.sOppSide_excenter_point_iff, Affine.Simplex.incenter_notMem_affineSpan_face, RealRMK.integral_rieszMeasure, CFC.continuous_abs, Affine.Triangle.affineSpan_pair_eq_orthRadius, MeasureTheory.SimpleFunc.integral_eq_sum, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, NumberField.mixedEmbedding.convexBodySumFun_smul, continuousOn_cfc_nnreal, differentiable_exp, NormedSpace.normalize_smul_of_pos, NumberField.mixedEmbedding.logMap_real_smul, MeasureTheory.condExpInd_disjoint_union, Orientation.oangle_rotation_oangle_right, ProbabilityTheory.differentiableOn_mgf, hasStrictDerivAt_arcosh, LinearMap.extendTo𝕜_apply, differentiableAt_cos, EuclideanGeometry.image_inversion_perpBisector, innerₗ_apply, MeasureTheory.setIntegral_condExpIndSMul, Orientation.rightAngleRotation_symm, MeasureTheory.weightedSMul_empty, MeasureTheory.integrable_withDensity_iff_integrable_smul₀, inv_norm_smul_mem_unitClosedBall, Affine.Simplex.mongePlane_def, Affine.Triangle.acuteAngled_iff_angle_lt, ModularGroup.lcRow0Extend_apply, MeasureTheory.ProbabilityMeasure.continuous_iff_forall_continuousMap_continuous_integral, deriv_log', ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply, Seminorm.bound_of_continuous, ContDiff.euclidean_dist, intervalIntegral.integral_comp_add_mul, MeasureTheory.setIntegral_rnDeriv_smul, selfAdjoint.unitarySelfAddISMul_coe, Bundle.ContMDiffRiemannianMetric.pos, Monotone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, IsContMDiffRiemannianBundle.exists_contMDiff, Affine.Simplex.excenterExists_map, integral_conj, isBounded_iff_asymptoticCone_subset_singleton, ProbabilityTheory.instIsGaussianMapHSub, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, deriv2_binEntropy, gauge_closure_zero, MeasureTheory.measure_le_setAverage_pos, Affine.Simplex.vectorSpan_isOrtho_altitude_direction, hasDerivAt_arcsin, Orientation.inner_rotation_pi_div_two_right, integral_comp_polarCoord_symm, Affine.Simplex.exsphere_reindex, gauge_ball, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, MeasureTheory.integral_llr_tilted_left, ProperCone.innerDual_singleton, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eq, RCLike.ofReal_re_ax, differentiable_inner, VitaliFamily.ae_tendsto_average_norm_sub, OrthonormalBasis.volume_parallelepiped, hasDerivAt_tan, hasFDerivAt_integral_of_dominated_loc_of_lip', Affine.Simplex.altitudeFoot_mem_affineSpan, Orientation.oangle_rotation, deriv_tan_sub_id, mul_gauge_le_norm, leftDeriv_mul_log, MeasureTheory.weightedSMul_null, stereoToFun_apply, differentiableAt_Gamma, Module.Basis.addHaar_reindex, orthogonalBilin_innerₗ, hasStrictDerivAt_cosh, ConvexOn.real_univ_sSup_of_countable_affine_eq, NumberField.mixedEmbedding.mem_span_latticeBasis, MeasureTheory.integral_pos_iff_support_of_nonneg_ae, IsometryEquiv.map_midpoint, ProbabilityTheory.covarianceBilin_comm, Orientation.inner_rotation_pi_div_two_left, MeasureTheory.integral_indicator_one, gradient_eq_deriv', Orientation.oangle_rotation_self_left, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, ContinuousLinearEquiv.contDiffPointwiseHolderAt, QuadraticForm.equivalent_one_zero_neg_one_weighted_sum_squared, Orientation.kahler_neg_orientation, hasStrictDerivAt_log, affinity_unitBall, MonotoneOn.intervalIntegrable_slope, convex_eball, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, AffineIsometryEquiv.dist_pointReflection_self_real, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, differentiableOn_Gamma_Ioi, differentiableOn_mul_log, HasDerivAt.complexToReal_fderiv', MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', EuclideanGeometry.image_inversion_sphere_dist_center, InnerProductSpace.volume_ball, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, integrableOn_Ioi_deriv_ofReal_cpow, EuclideanGeometry.Sphere.sbtw_secondInter, deriv_mulExpNegMulSq, MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le, Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top, inner_smul_real_right, Affine.Triangle.sOppSide_affineSpan_pair_excenter_singleton_point, dense_differentiableAt_norm, MeasureTheory.SignedMeasure.re_toComplexMeasure, snd_integral, CStarAlgebra.instNonnegSpectrumClass, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_eq, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn, MonotoneOn.intervalIntegral_deriv_mem_uIcc, NumberField.mixedEmbedding.volume_preserving_negAt, setIntegral_withDensity_eq_setIntegral_toReal_smul₀', Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, deriv_qaryEntropy, deriv_arctan, AffineSubspace.isPreconnected_setOf_wOppSide, monotoneOn_deriv_descPochhammer_eval, SchwartzMap.smulLeftCLM_const, MeasureTheory.integral_fintype, intervalIntegral.smul_integral_comp_sub_mul, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, Orientation.rightAngleRotation_map', EuclideanGeometry.oangle_midpoint_left, NumberField.mixedEmbedding.negAt_apply_isComplex, ProbabilityTheory.isGaussian_iff_charFun_eq, Orientation.inner_rotation_pi_div_two_left_smul, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, HasCompactSupport.integral_Iic_deriv_eq, Affine.Simplex.circumsphere_unique_dist_eq, swap_integral, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2, ContDiffMapSupportedIn.structureMapLM_apply_withOrder, ProbabilityTheory.instIsGaussianDirac, convex_halfSpace_im_lt, MeasureTheory.Measure.addHaar_parallelepiped, Polynomial.rootSet_derivative_subset_convexHull_rootSet, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, EuclideanGeometry.preimage_inversion_sphere_dist_center, MeasureTheory.norm_condExpInd_apply_le, has_antideriv_at_fourier_neg, differentiableAt_log_iff, Orientation.rotation_neg_orientation_eq_neg, Matrix.instNonnegSpectrumClass, Orientation.eq_rotation_self_iff, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, Orientation.areaForm'_apply, MeasureTheory.hausdorffMeasure_lineMap_image, Affine.Triangle.dist_orthocenter_reflection_circumcenter, intervalIntegral.integral_smul_measure, ContDiffPointwiseHolderAt.prodMk, signedDist_smul_of_pos, Distribution.mapCLM_apply, hasStrictDerivAt_const_rpow_of_neg, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, MeasureTheory.tilted_apply_eq_ofReal_integral, Affine.Simplex.exradius_reindex, Affine.Simplex.ninePointCircle_reindex, MeasureTheory.dist_convolution_le, MeasureTheory.Measure.addHaar_real_closedBall', Orientation.inner_comp_rightAngleRotation, intervalIntegral.integral_hasStrictFDerivAt, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_apply, signedDist_lineMap_lineMap, Complex.ofRealCLM_apply, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, MeasureTheory.setIntegral_eq_zero_iff_of_nonneg_ae, differentiableAt_complex_iff_differentiableAt_real, cfcHom_real_eq_restrict, intervalIntegral.inv_smul_integral_comp_sub_div, UniformConvexOn.convexOn, Affine.Triangle.dist_div_sin_oangle_eq_two_mul_circumradius, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, NumberField.Units.regOfFamily_of_isMaxRank, MeasureTheory.Measure.setIntegral_toReal_rnDeriv', CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, inner_map_complex, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, BoundedContinuousFunction.probCharDual_zero, sameRay_iff_norm_add, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, signedDist_vadd_left_swap, IsSelfAdjoint.spectrumRestricts, Seminorm.const_isBounded, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, MeasureTheory.norm_weightedSMul_le, Complex.restrictScalars_one_smulRight, LipschitzWith.coordinate, differentiableAt_abs_neg, Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero, hasDerivAt_fourier_neg, Orientation.rotation_zero, ProbabilityTheory.isGaussian_gaussianReal, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, HasCompactSupport.enorm_le_lintegral_Ici_deriv, MeasureTheory.integral_posConvolution, hasStrictDerivAt_abs, EuclideanGeometry.OrthocentricSystem.affineIndependent, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, Affine.Simplex.touchpointWeights_reindex, RCLike.finrank_le_two, IsOpen.smul_sphere, EuclideanGeometry.Sphere.secondInter_smul, InnerProductSpace.harmonicAt_comp_CLE_iff, Bundle.RiemannianMetric.symm, strongConcaveOn_iff_convex, Affine.Simplex.height_map, linear_isometry_complex, MeasureTheory.condExpIndL1_smul, ProbabilityTheory.isGaussian_map, instIsZLatticeRealSpan, Affine.Simplex.orthogonalProjection_circumcenter, hasDerivAt_cos, MeasureTheory.weightedSMul_add_measure, MeasureTheory.Measure.NullMeasurableSet.const_smul, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, ContDiffMapSupportedIn.locallyConvexSpace, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, Orientation.oangle_rotation_oangle_left, smul_unitBall_of_pos, ProbabilityTheory.IsGaussian.charFunDual_eq, hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, ProbabilityTheory.variance_continuousLinearMap_gaussianReal, CFC.monotone_rpow, differentiableWithinAt_arcsin_Ici, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, circleAverage_def, RCLike.sqrt_map, hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, InnerProductSpace.instIsContPerfPairRealInnerₗOfCompleteSpace, Matrix.instFiniteElemRealSpectrum, rotationOf_rotation, not_sameRay_iff_of_norm_eq, CFC.rpow_neg_one_eq_cfc_inv, hasDerivAt_taylorWithinEval_succ, CFC.monotoneOn_one_sub_one_add_inv_real, IsMIntegralCurveAt.hasMFDerivAt, RCLike.smul_im, PMF.integral_eq_tsum, SpectrumRestricts.real_iff, intervalIntegral.deriv_integral_left, intervalIntegral.integral_comp_div, MeasureTheory.tilted_apply, aestronglyMeasurable_derivWithin_Ici, MeasureTheory.lpNorm_nnreal_eq_integral_norm_rpow, Orientation.oangle_sign_smul_left, deriv_abs_pos, ContDiffPointwiseHolderAt.continuousLinearMap_comp, Polynomial.aeval_conj, MeasureTheory.setAverage_eq, ConvexBody.isBounded, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, ZSpan.isAddFundamentalDomain', Affine.Simplex.touchpoint_mem_affineSpan, EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center, Conformal.differentiable, differentiableAt_cosh, EuclideanGeometry.oangle_eq_zero_or_eq_pi_iff_collinear, homeomorphUnitSphereProd_symm_apply_coe, ProbabilityTheory.covarianceBilin_self_nonneg, Orientation.rightAngleRotation_rightAngleRotation, taylorWithinEval_succ, GromovHausdorff.ghDist_eq_hausdorffDist, ProbabilityTheory.integral_linearMap_gaussianReal, conformalAt_iff_isConformalMap_fderiv, MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_norm, dimH_of_nonempty_interior, CFC.continuousOn_nnrpow, Polynomial.hermite_eq_deriv_gaussian', Orientation.oangle_sign_smul_add_smul_smul_add_smul, ProbabilityTheory.indepFun_iff_charFunDual_prod', Affine.Simplex.direction_mongePlane, MeasureTheory.Measure.integral_comp_mul_left, RCLike.wInner_const_left, ProbabilityTheory.covarianceBilinDual_self_eq_variance, MeasureTheory.log_rnDeriv_tilted_left_self, ProperCone.innerDual_union, CompactlySupportedContinuousMap.integralLinearMap_apply, Affine.Simplex.dist_point_centroid, MeasureTheory.MemLp.exists_hasCompactSupport_integral_rpow_sub_le, Affine.Simplex.altitudeFoot_reindex, SchwartzMap.fourier_evalCLM_eq, ContinuousWithinAt.integral_sub_linear_isLittleO_ae, Affine.Simplex.affineCombination_eq_touchpoint_iff, deriv_exp, Orientation.oangle_sign_smul_sub_left, SchwartzMap.hasFDerivAt, QuasispectrumRestricts.real_iff, MeasureTheory.memL1_smul_of_L1_withDensity, MeasureTheory.Measure.toSphere_apply', TemperedDistribution.instLineDerivSMulReal, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, SchwartzMap.evalCLM_apply_apply, Affine.Simplex.altitudeFoot_mem_altitude, Orientation.rotation_eq_self_iff_angle_eq_zero, InnerProductGeometry.angle_smul_right_of_neg, Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter, IsSelfAdjoint.sq_spectrumRestricts, isBounded_convexHull, tendsto_integral_exp_smul_cocompact_of_inner_product, MeasureTheory.integral_biUnion_eq_sum_powerset, hasDerivAt_rpow_const, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_affineIndependent, Orientation.oangle_rotation_right, Affine.Triangle.affineSpan_orthocenter_point_le_altitude, Antitone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, differentiableAt_norm_smul, circleAverage_eq_integral_add, iter_deriv_exp, intervalIntegral.inv_smul_integral_comp_div_sub, Module.Basis.prod_parallelepiped, differentiable_iteratedDeriv_cos, EuclideanGeometry.Cospherical.affineIndependent, MeasureTheory.integral_eq_lintegral_pos_part_sub_lintegral_neg_part, ProbabilityTheory.IsGaussian.memLp_dual, MeasureTheory.exists_integral_le, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, isConnected_setOf_sameRay_and_ne_zero, isTheta_deriv_rpow_const_atTop, ProbabilityTheory.covarianceBilinDual_self_nonneg, conformalFactorAt_inner_eq_mul_inner', NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, convexHull_sphere_eq_closedBall, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', MeasureTheory.charFunDual_map_const_add, EuclideanGeometry.Sphere.IsTangentAt_of_angle_eq_pi_div_two, MeasureTheory.charFunDual_map_add_const, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, Orientation.rotation_trans, KuratowskiEmbedding.embeddingOfSubset_isometry, signedDist_lineMap_left, ProbabilityTheory.covarianceBilin_real_self, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, tendsto_rightDeriv_mul_log_atTop, NumberField.mixedEmbedding.norm_smul, hasStrictDerivAt_arsinh, MeasureTheory.integral_comp_rpow_Ioi, cfc_integral, convex_closedEBall, MeasureTheory.condExp_ae_eq_condExpL1CLM, ConvexOn.convex_re_epigraph, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, RCLike.realLinearIsometryEquiv_symm_apply, convex_ball, real_inner_smul_right, ContinuousLinearMap.hasTemperateGrowth, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, Orientation.oangle_sub_right_smul_rotation_pi_div_two, VectorFourier.fourierSMulRight_apply, CStarAlgebra.mem_Icc_algebraMap_iff_nnnorm_le, StrongConcaveOn.strictConcaveOn, MeasureTheory.Measure.addHaar_image_linearMap, Affine.Simplex.sOppSide_excenter_singleton_point, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, GromovHausdorff.eq_toGHSpace, Seminorm.closedBall_smul, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.condExpL1CLM_indicatorConst, nnnorm_cfc_nnreal_lt, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, NormedSpace.normalize_smul_of_neg, MeasureTheory.L1.nnnorm_Integral_le_one, hasDerivAt_circleMap, EuclideanGeometry.oangle_homothety, MeasureTheory.ProbabilityMeasure.continuous_integral_boundedContinuousFunction, RCLike.ofReal_alg, MeasureTheory.integral_fun_norm_addHaar, Affine.Simplex.ExcenterExists.sOppSide_point_excenter_iff, MeasureTheory.setIntegral_ge_of_const_le, MeasureTheory.L1.integral_eq_norm_posPart_sub, signedDist_anticomm, IsOpen.measure_eq_biSup_integral_continuous, MeasureTheory.weightedSMul_smul, MeasureTheory.integral_continuousLinearMap_prod, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, segment_subset_closedBall_left, CFC.rpow_le_rpow, taylor_tendsto, Affine.Simplex.dist_circumcenter_eq_circumradius, curveIntegralFun_def', NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, Orientation.areaForm_comp_rightAngleRotation, MeasureTheory.SimpleFunc.norm_integral_le_integral_norm, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, ZSpan.fundamentalDomain_subset_parallelepiped, ContinuousLinearMap.norm_extendTo𝕜'_bound, sum_mem_ball_of_strictConvexSpace, differentiableAt_arctan, ContinuousMultilinearMap.integral_apply, Matrix.PosSemidef.isUnit_sqrt_iff, eq_lineMap_of_dist_eq_mul_of_dist_eq_mul, LinearIsometryEquiv.contDiffPointwiseHolderAt_left_comp, differentiableWithinAt_abs_neg, MeasureTheory.integral_comp, MeasureTheory.integral_pos_iff_support_of_nonneg, RCLike.complexLinearIsometryEquiv_symm_apply, differentiableOn_negMulLog, MeasureTheory.average_union_mem_segment, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, hasDerivAt_fourier, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, rightDeriv_mul_log, dist_add_dist_eq_iff, nnnorm_cfc_nnreal_le, BoxIntegral.BoxAdditiveMap.toSMul_apply, ProbabilityTheory.IsGaussian.map_rotation_eq_self, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, EuclideanGeometry.Sphere.IsTangentAt.mem_and_mem_iff_eq, homeomorphSphereProd_symm_apply_coe, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, EuclideanGeometry.collinear_iff_eq_or_eq_or_sin_eq_zero, MeasureTheory.integrable_tilted_iff, RCLike.wInner_const_right, ProbabilityTheory.covarianceOperator_inner, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one, EuclideanGeometry.Sphere.IsDiameter.sbtw, mellin_eq_fourierIntegral, hasStrictDerivAt_abs_neg, Orientation.inner_rightAngleRotation_left, MeasureTheory.AEStronglyMeasurable.fourierPowSMulRight, MeasureTheory.setIntegral_nonpos, AffineSubspace.mem_perpBisector_iff_inner_eq_inner, ProbabilityTheory.iIndepFun_iff_charFunDual_pi, InnerProductGeometry.angle_eq_angle_add_angle_iff, intervalIntegral.deriv_integral_of_tendsto_ae_right, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, EuclideanGeometry.Sphere.IsTangent.infDist_eq_radius, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, MeasureTheory.integrable_withDensity_iff_integrable_smul, MeasureTheory.condExpL1CLM_lpMeas, Module.Basis.coe_parallelepiped, convex_halfSpace_re_ge, EuclideanGeometry.inversion_def, deriv_circleMap, Affine.Simplex.inner_vsub_altitudeFoot_vsub_altitudeFoot_eq_zero, ProbabilityTheory.covarianceBilin_apply_pi, ProbabilityTheory.deriv_mgf, SchwartzMap.integral_bilinear_laplacian_right_eq_left, ZLattice.covolume_eq_det_mul_measureReal, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', intervalIntegral.integral_comp_sub_mul, homeomorphUnitSphereProd_apply_fst_coe, LipschitzWith.ae_differentiableAt, Orientation.kahler_apply_self, Affine.Simplex.dist_circumcenter_eq_circumradius', differentiableWithinAt_arcsin_Iic, EuclideanGeometry.Sphere.IsTangent.notMem_of_dist_lt, signedDist_triangle_right, Polynomial.hermite_eq_deriv_gaussian, Orientation.inner_smul_rotation_pi_div_two_right, ZSpan.instDiscreteTopologySubtypeMemSubmoduleIntSpanRangeCoeBasisRealOfFinite, EuclideanGeometry.Sphere.IsIntTangentAt.wbtw, UniformConcaveOn.concaveOn, Complex.conjCLE_nnorm, HasStrictDerivAt.complexToReal_fderiv', Orientation.inner_mul_areaForm_sub', hasFDerivAt_polarCoord_symm, fourierIntegral_gaussian_innerProductSpace, EuclideanGeometry.Sphere.IsTangentAt.le_orthRadius, IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, ConvexOn.real_univ_sSup_affine_eq, MeasureTheory.weightedSMul_union, MeasureTheory.average_pair, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, deriv_arcsin, abs_signedDist_eq_dist_iff_vsub_mem_span, MeasureTheory.uniformIntegrable_average, ConvexOn.monotoneOn_leftDeriv, UniformConvexSpace.toStrictConvexSpace, EuclideanGeometry.Concyclic.Coplanar, Affine.Simplex.ExcenterExists.isTangentAt_exsphere_iff_eq_touchpoint, selfAdjoint.star_coe_unitarySelfAddISMul, Orientation.kahler_rotation_left', MeasureTheory.Measure.addHaar_affineSubspace, differentiable_sin, MeasureTheory.setIntegral_rnDeriv_smul', ContDiff.fourierPowSMulRight, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_pair, Affine.Simplex.pointsWithCircumcenter_point, convex_halfSpace_im_ge, intervalIntegral.smul_integral_comp_mul_left, Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent, ContinuousLinearMap.extendTo𝕜_apply, rotation_trans, CStarAlgebra.rpow_neg_one_le_rpow_neg_one, eventually_norm_symmL_trivializationAt_comp_self_lt, eulerMascheroniConstant_eq_neg_deriv, not_sameRay_iff_abs_lt_norm_sub, not_differentiableAt_inv_log_zero, ProbabilityTheory.IsGaussian.integral_dual, Affine.Simplex.mongePoint_reindex, uniformConcaveOn_zero, Affine.Triangle.affineSpan_pair_eq_orthRadius_insphere, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, Orientation.abs_areaForm_le, EuclideanGeometry.cospherical_or_collinear_of_two_zsmul_oangle_eq, deriv_mul_log, Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter, EuclideanGeometry.angle_homothety, MeasureTheory.Measure.addHaar_image_continuousLinearEquiv, MeasureTheory.integral_rnDeriv_mul_log, ContinuousLinearMap.norm_extendTo𝕜', InnerProductGeometry.angle_smul_smul, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, convex_halfSpace_re_lt, Affine.Simplex.altitude_reindex, ModelWithCorners.convex_range, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, signedDist_neg, CStarAlgebra.mul_star_le_algebraMap_norm_sq, ProbabilityTheory.covarianceBilin_apply_basisFun, ContDiffBump.integral_normed_smul, ProbabilityTheory.instIsGaussianMapHAdd_1, Complex.restrictScalars_toSpanSingleton, Orientation.oangle_sign_smul_right, Orientation.normSq_kahler, MeasureTheory.SimpleFunc.integral_eq_lintegral, ProbabilityTheory.IndepFun.charFunDual_map_add_eq_mul, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, MeasureTheory.setIntegral_nonneg_of_ae_restrict, SmoothBumpFunction.contMDiff_smul, gauge_unit_ball, differentiableAt_tan, differentiable_cosh, NumberField.mixedEmbedding.negAt_symm, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, MeasureTheory.setLIntegral_tilted, VectorFourier.contDiff_fourierIntegral, sameRay_iff_inv_norm_smul_eq, RCLike.instStarModuleReal, cfcHom_nnreal_eq_restrict, BoxIntegral.integral_smul, MeasureTheory.integral_le_measure, ProbabilityTheory.integral_tilted_mul_eq_mgf, MeasureTheory.integral_simpleFunc_larger_space, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, ContDiffBump.apply, Orientation.oangle_sign_add_smul_left, upperHemicontinuous_spectrum_nnreal, Matrix.PosSemidef.sq_sqrt, signedDist_vsub_self_rev, Orientation.neg_rotation_pi_div_two, ProperCone.relative_hyperplane_separation, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, UniformConcaveOn.strictConcaveOn, signedDist_linear_apply, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, Orientation.rotation_eq_matrix_toLin, MeasureTheory.AEStronglyMeasurable.fourierSMulRight, hasDerivAt_log, intervalIntegral.integral_const_of_cdf, Orientation.inner_rightAngleRotation_swap, intervalIntegral.integral_const', MeasureTheory.ofReal_setIntegral_one, rotationOf_coe, NumberField.mixedEmbedding.volume_negAt_plusPart, Orientation.oangle_sub_left_smul_rotation_pi_div_two, tangentConeAt_real_subset_isRCLikeNormedField, ProperCone.innerDual_insert, Module.Basis.parallelepiped_eq_map, integral_withDensity_eq_integral_toReal_smul, ZLattice.covolume.tendsto_card_div_pow', SchwartzMap.hasDerivAt, MeasureTheory.toReal_laverage, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, Affine.Simplex.incenter_eq_affineCombination, signedDist_self, Unitization.nnreal_cfcₙ_eq_cfc_inr, ProperCone.dual_flip_dual, RCLike.ofRealCLM_norm, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_measure_nhdsWithin_pos, Complex.sqrt_map, InnerProductSpace.HarmonicOnNhd.const_smul, MeasureTheory.setIntegral_indicatorConstLp, signedDist_vsub_self, EuclideanGeometry.inversion_mul, MeasureTheory.SignedMeasure.rnDeriv_smul, ProbabilityTheory.isGaussian_conv, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, CStarAlgebra.norm_le_iff_le_algebraMap, MeasureTheory.rnDeriv_tilted_left, Orientation.oangle_add_right_smul_rotation_pi_div_two, not_sameRay_iff_norm_add_lt, hasStrictDerivAt_arctan, LipschitzOnWith.coordinate, Orientation.inner_smul_rotation_pi_div_two_left, BoxIntegral.hasIntegral_const, ZLattice.volume_image_eq_volume_div_covolume, MeasureTheory.Supermartingale.smul_nonpos, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, map_linearMap_volume_pi_eq_smul_volume_pi, setIntegral_withDensity_eq_setIntegral_smul, CFC.log_smul', Affine.Simplex.sOppSide_point_excenter_singleton, isConformalMap_complex_linear_conj, Euclidean.closedBall_eq_preimage, integral_pair, mellin_comp_rpow, MeasureTheory.Submartingale.sum_smul_sub', NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, AffineSubspace.mem_perpBisector_iff_dist_eq', Matrix.PosSemidef.inv_sqrt, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, AffineSubspace.isPreconnected_setOf_wSameSide, intervalIntegral.differentiable_integral_of_continuous, intervalIntegral.smul_integral_comp_mul_add, MeasureTheory.setIntegral_nonpos_le, Matrix.finite_real_spectrum, LipschitzWith.locallyIntegrable_lineDeriv, Affine.Simplex.ninePointCircle_center_mem_affineSpan, MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, Orientation.kahler_rightAngleRotation_left, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, hasDerivAt_mulExpNegMulSq, MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar, SchwartzMap.tsupport_smulLeftCLM_subset, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, eventually_norm_symmL_trivializationAt_lt, cfcₙHom_real_eq_restrict, ContDiffMapSupportedIn.structureMapCLM_apply_withOrder, MeasureTheory.ComplexMeasure.im_apply, AffineSubspace.perpBisector_eq_top, MeasureTheory.Measure.addHaar_smul_of_nonneg, differentiableOn_arccos, Orientation.oangle_smul_right_of_neg, IsLocalMin.deriv_eq_zero, hasDerivAt_cosh, tendsto_deriv_mul_log_atTop, Orientation.abs_areaForm_of_orthogonal, Isometry.affineIsometryOfStrictConvexSpace_apply, LipschitzOnWith.ae_differentiableWithinAt_real, upperHemicontinuous_quasispectrum_nnreal, innerₗ_apply_apply, MeasureTheory.integral_eq_zero_iff_of_nonneg_ae, MeasureTheory.integral_rnDeriv_smul, fourierCoeff_eq_intervalIntegral, MeasureTheory.Measure.setIntegral_toReal_rnDeriv_eq_withDensity', CStarAlgebra.conjugate_le_norm_smul', SchwartzMap.tsupport_fderivCLM_subset, AffineSubspace.midpoint_mem_perpBisector, inner_sum_smul_sum_smul_of_sum_eq_zero, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, CompactlySupportedContinuousMap.toNNRealLinear_apply, Affine.Simplex.touchpoint_reindex, MeasureTheory.Measure.map_addHaar_smul, hasDerivAt_fourierChar, bilinFormOfRealInner_orthogonal, ContinuousLinearMap.intervalIntegral_apply, PMF.integral_eq_sum, MeasureTheory.average_add_measure, EuclideanGeometry.inner_weightedVSub, nndist_midpoint_midpoint_le, Orientation.kahler_rotation_left, LindemannWeierstrass.integral_exp_mul_eval, intervalIntegral.inv_smul_integral_comp_div, EuclideanGeometry.Sphere.center_mem_orthRadius_iff, Complex.conjCLE_enorm, differentiableWithinAt_arccos_Iic, CFC.nnnorm_rpow, MeasureTheory.charFunDual_eq_pi_iff, EuclideanGeometry.collinear_of_sin_eq_zero, MeasureTheory.aestronglyMeasurable_condExpL1CLM, Affine.Simplex.ExcenterExists.excenter_mem_affineSpan_range, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, CFC.nnrpow_le_nnrpow, MeasureTheory.SimpleFunc.setToSimpleFunc_zero, ContDiffMapSupportedIn.seminorm_apply, convexHull_ediam, aemeasurable_withDensity_iff, Orientation.inner_sq_add_areaForm_sq, ODE.hasDerivWithinAt_picard_Icc, signedDist_smul_of_neg, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, ContinuousLinearMap.rotation_apply, iteratedFDeriv_fourier, RCLike.reLm_coe, differentiableAt_abs_pos, inner_smul_real_left, Affine.Triangle.orthocenter_mem_altitude, fst_integral, hasDerivAt_Gamma_one_half, CStarAlgebra.star_mul_le_algebraMap_norm_sq, ProbabilityTheory.isPosSemidef_covarianceBilinDual, EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq, fderiv_norm_smul, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, Affine.Triangle.eulerPoint_eq_midpoint, MeasureTheory.weightedSMul_union', MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, integral_coe_re_add_coe_im, hahnEmbedding_isOrderedModule_rat, MeasureTheory.setIntegral_gt_gt, MeasureTheory.setIntegral_nonneg_ae, MeasureTheory.setIntegral_nonpos_of_ae, Affine.Simplex.sign_signedInfDist_touchpoint_empty, SchwartzMap.pairing_continuous_left, signedDist_vadd_right_swap, hasFDerivAt_fourierIntegral, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, SchwartzMap.integralCLM_apply, linearEquiv_det_rotation, differentiable_mulExpNegMulSq, Affine.Simplex.midpoint_faceOppositeCentroid_eulerPoint, differentiableAt_arccos, ConvexOn.real_univ_sSup_of_nat_affine_eq, Complex.conjCLE_apply, not_DifferentiableAt_log_mul_zero, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, MeasureTheory.ofReal_integral_eq_lintegral_ofReal, MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, ProbabilityTheory.strong_law_Lp, EuclideanGeometry.Sphere.IsDiameter.midpoint_eq_center, MeasureTheory.integral_const, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, Euclidean.ball_eq_preimage, MeasureTheory.Measure.exists_regular_eq_of_compactSpace, CStarAlgebra.star_left_conjugate_le_norm_smul, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, MeasureTheory.L1.SimpleFunc.setToL1S_zero_left, SchwartzMap.lineDerivOp_fourierInv_eq, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, EuclideanGeometry.Sphere.secondInter_vsub_mem_affineSpan, 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, InformationTheory.rightDeriv_klFun, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, ConvexOn.real_sSup_of_countable_affine_eq, Affine.Simplex.point_eq_affineCombination_of_pointsWithCircumcenter, hasDerivAt_Gamma_one, AffineSubspace.perpBisector_self, hasStrictDerivAt_cos, IntervalIntegrable.intervalIntegrable_slope, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, not_differentiableAt_rpow_const_zero, ProperCone.innerDual_empty, OpenPartialHomeomorph.univUnitBall_apply, Orientation.oangle_map, MeasureTheory.Measure.addHaar_preimage_linearMap, EulerSine.antideriv_cos_comp_const_mul, Matrix.IsHermitian.spectrum_real_eq_range_eigenvalues, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae, curveIntegral_eq_intervalIntegral_deriv, MeasureTheory.setIntegral_nonneg, RightDerivMeasurableAux.differentiable_set_eq_D, BoxIntegral.integralSum_smul, MeasureTheory.mul_meas_ge_le_integral_of_nonneg, NumberField.mixedEmbedding.convexBodyLT_convex, MeasureTheory.setIntegral_tilted', EuclideanGeometry.Sphere.isDiameter_iff_mem_and_mem_and_wbtw, EuclideanGeometry.oangle_midpoint_rev_right, Orientation.kahler_mul, ProbabilityTheory.iIndepFun_iff_charFunDual_pi', sameRay_iff_norm_sub, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, ProbabilityTheory.isGaussian_iff_charFunDual_eq, ProbabilityTheory.iteratedDeriv_two_cgf, ContinuousOn.integral_sub_linear_isLittleO_ae, measurableSet_of_differentiableWithinAt_Ioi, differentiable_iteratedDeriv_sin, ProbabilityTheory.deriv_mgf_zero, SchwartzMap.instLocallyConvexSpace, NormedAlgebra.Real.nonempty_algEquiv_or, Affine.Simplex.incenter_mem_affineSpan_range, Orientation.oangle_smul_smul_self_of_nonneg, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, deriv_sigmoid, ZLattice.volume_image_eq_volume_div_covolume', ProperCone.dual_dual_flip, MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv, flip_innerₗ, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, Affine.Simplex.eulerPoint_reindex, MeasureTheory.integral_eq_lintegral_of_nonneg_ae, MeasureTheory.Measure.addHaar_ball_mul_of_pos, Orientation.rightAngleRotation_trans_neg_orientation, Orientation.volumeForm_robust', integrableOn_peak_smul_of_integrableOn_of_tendsto, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, ModelWithCorners.convex_range', NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, CStarAlgebra.rpow_neg_one_le_one, NormedSpace.toLocallyConvexSpace, Affine.Simplex.excenterWeights_map, MeasureTheory.setIntegral_ge_of_const_le_real, EulerSine.antideriv_sin_comp_const_mul, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, signedDist_vadd_left, ModularGroup.tendsto_lcRow0, AffineSpace.asymptoticNhds_le_cobounded, ContDiffBump.convolution_eq_right, ExistsContDiffBumpBase.w_def, measurable_derivWithin_Ioi, ProbabilityTheory.deriv_cgf, MeasureTheory.Measure.setIntegral_comp_smul, Complex.imCLM_coe, isBoundedBilinearMap_inner, Affine.Simplex.incenter_notMem_affineSpan_pair, intervalIntegral.integral_hasFDerivWithinAt, Polynomial.aeval_ofReal, MeasureTheory.charFunDual_prod', LinearIsometryEquiv.toMeasurableEquiv_symm, ProbabilityTheory.covarianceBilin_apply, BoxIntegral.integralSum_sub_partitions, AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero, MeasureTheory.withDensitySMulLI_apply, hasDerivAt_gronwallBound, MeasureTheory.Measure.addHaar_nnreal_smul, Affine.Simplex.touchpoint_eq_point_rev, EuclideanGeometry.hasFDerivAt_inversion, Orientation.kahler_map, isBigO_deriv_ofReal_cpow_const_atTop, dist_div_norm_sq_smul, stronglyMeasurable_derivWithin_Ici, MeasureTheory.exists_le_setAverage, IsSelfAdjoint.map_spectrum_real, posTangentConeAt_mono, hasDerivAt_ofReal_cpow_const, CFC.norm_abs, hasDerivAt_norm_rpow, Affine.Simplex.signedInfDist_reindex, ZSpan.instDiscreteTopologySubtypeMemAddSubgroupToAddSubgroupIntSpanRangeCoeBasisRealOfFinite, differentiableAt_tan_of_mem_Ioo, not_continuousAt_deriv_qaryEntropy_zero, AffineSubspace.isPreconnected_setOf_sOppSide, NumberField.mixedEmbedding.latticeBasis_apply, MeasureTheory.Measure.addHaar_submodule, MeasureTheory.L1.SimpleFunc.integral_eq_lintegral, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, signedDist_apply_linear_apply, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, Matrix.IsHermitian.cfcAux_id, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff, Affine.Simplex.neg_one_lt_inner_vsub_altitudeFoot_div, Affine.Simplex.ExcenterExists.touchpointWeights_map, MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, EuclideanGeometry.collinear_of_angle_eq_pi, ProbabilityTheory.covarianceBilin_map, RCLike.real_smul_ofReal, Affine.Simplex.mongePoint_map, BoundedContinuousFunction.integral_add_const, Affine.Simplex.eulerPoint_map, MeasureTheory.L1.norm_of_fun_eq_integral_norm, MeasureTheory.measureReal_abs_inner_gt_le_integral_charFun, Orientation.two_zsmul_oangle_smul_right_self, Affine.Triangle.sOppSide_affineSpan_pair_point_excenter_singleton, HasFDerivAt.curveIntegral_segment_source', AffineSubspace.signedInfDist_singleton, EuclideanGeometry.angle_midpoint_eq_pi, Orientation.coe_basisRightAngleRotation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, MeasureTheory.setIntegral_one_eq_measureReal, SchwartzMap.fderivCLM_fourier_eq, CStarModule.inner_mul_inner_swap_le, Bundle.ContinuousRiemannianMetric.pos, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, SchwartzMap.derivCLM_apply, RCLike.map_nonneg_iff, deriv_cos, IsCoercive.continuousLinearEquivOfBilin_apply, Affine.Simplex.affineCombination_touchpointWeights, MeasureTheory.integral_fun_fst, Orientation.volumeForm_zero_neg, SmoothPartitionOfUnity.contMDiff_finsum_smul, MeasureTheory.pdf.integrable_pdf_smul_iff, differentiableAt_binEntropy, ContDiffBump.dist_normed_convolution_le, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero, QuadraticForm.equivalent_sign_ne_zero_weighted_sum_squared, hasDerivAt_arctan', Orientation.areaForm_map, Affine.Triangle.orthocenter_mem_affineSpan, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_not_collinear, deriv_bernoulliFun, intervalIntegral.integral_hasDerivAt_right, det_fderivPiPolarCoordSymm, isConformalMap_iff, BoundedContinuousFunction.toReal_lintegral_coe_eq_integral, Affine.Simplex.faceOppositeCentroid_mem_ninePointCircle, deriv2_qaryEntropy, differentiableAt_exp, Affine.Simplex.mongePoint_mem_affineSpan, hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, CFC.monotone_sqrt, NumberField.mixedEmbedding.logMap_real, NumberField.mixedEmbedding.commMap_apply_of_isReal, ZSpan.fundamentalDomain_pi_basisFun, LipschitzWith.ae_differentiableAt_of_real, ProperCone.mem_innerDual, ZLattice.isAddFundamentalDomain, EuclideanGeometry.Sphere.orthRadius_le_orthRadius_iff, Seminorm.finset_sup_smul, quasispectrum.isCompact_nnreal, Bundle.RiemannianMetric.pos, CStarAlgebra.instNonnegSpectrumClass', CStarAlgebra.conjugate_le_norm_smul, IsometryEquiv.coeFn_toRealAffineIsometryEquiv, MeasureTheory.abs_integral_le_integral_abs, Seminorm.isBounded_sup, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, norm_midpoint_lt_iff, NormedAlgebra.Real.exists_isMonicOfDegree_two_and_aeval_eq_zero, MeasureTheory.integral_comp_mul_right_Ioi, MeasureTheory.condExpInd_smul', MeasureTheory.Submartingale.sum_smul_sub, differentiable_iteratedDeriv_cosh, hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, EuclideanGeometry.collinear_iff_eq_or_eq_or_angle_eq_zero_or_angle_eq_pi, Complex.log_eq_integral, Complex.equivRealProdCLM_symm_apply_re, Affine.Simplex.incenter_reindex, MeasureTheory.ProbabilityMeasure.continuous_iff_forall_continuous_integral, AffineSubspace.mem_perpBisector_iff_dist_eq, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, MeasureTheory.charFunDual_eq_pi_iff', Besicovitch.card_le_of_separated, MeasureTheory.integral_countable, MeasureTheory.exists_setAverage_le, ContDiffPointwiseHolderAt.fderiv, CompactlySupportedContinuousMap.toReal_smul, Orientation.inner_rightAngleRotationAux₁_right, hasFDerivAt_pi_polarCoord_symm, MeasureTheory.lintegral_tilted, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, norm_cfcₙ_one_sub_one_add_inv_lt_one, NumberField.mixedEmbedding.latticeBasis_repr_apply, Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, continuousOn_cfcₙ_nnreal, BoxIntegral.Integrable.smul, MeasureTheory.L1.SimpleFunc.norm_eq_integral, signedDist_right_lineMap, ProbabilityTheory.uncenteredCovarianceBilin_zero, MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter, MeasureTheory.ofReal_setIntegral_one_of_measure_ne_top, differentiable_fourierChar, MeasureTheory.llr_tilted_left, hasFDerivAt_integral_of_dominated_of_fderiv_le, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, EuclideanGeometry.Sphere.mem_tangentSet_iff, VectorFourier.fourierPowSMulRight_apply, inner_eq_norm_mul_iff_real, MeasureTheory.FiniteMeasure.continuous_integral_boundedContinuousFunction, Affine.Simplex.altitude_map, MeasureTheory.Submartingale.smul_nonpos, deriv_cos', MeasureTheory.measure_le_integral_pos, isBigO_deriv_rpow_const_atTop, Continuous.deriv_integral, deriv_rpow_const', spectrum.isCompact_nnreal, MeasureTheory.integral_mul_le_Lp_mul_Lq_of_nonneg, NumberField.mixedEmbedding.normAtPlace_negAt, differentiableAt_arcosh, Module.Basis.parallelepiped_map, AlternatingMap.measure_def, MeasureTheory.charFunDual_dirac, Filter.Tendsto.integral_sub_linear_isLittleO_ae, MeasureTheory.lintegral_coe_le_coe_iff_integral_le, LinearIsometryEquiv.reflections_generate_dim, Complex.isometryOfOrthonormal_apply, intervalIntegral.smul_integral_comp_mul_right, Complex.sameRay_iff, SchwartzMap.lineDerivOp_apply_eq_fderiv, intervalIntegral.integral_comp_div_add, hasStrictDerivAt_sqrt, EuclideanGeometry.Sphere.isTangentAt_center_iff, BoxIntegral.integral_const, NumberField.mixedEmbedding.normAtPlace_smul, hasDerivAt_tan_of_mem_Ioo, NumberField.mixedEmbedding.finrank, Orientation.two_zsmul_oangle_smul_right_of_ne_zero, MeasureTheory.integral_pos_of_integrable_nonneg_nonzero, dimH_segment, iter_deriv_rpow_const, Complex.imCLM_nnnorm, ContDiffAt.laplacian_CLM_comp_left_nhds, MeasureTheory.exists_notMem_null_integral_le, Orientation.inner_rightAngleRotation_right, hasDerivAt_exp, ModularForm.prod_fintype_slash, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, MeasureTheory.setIntegral_pos_iff_support_of_nonneg_ae, asymptoticCone_subset_singleton_of_bounded, Complex.sameRay_iff_arg_div_eq_zero, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Orientation.volumeForm_apply_le, nonempty_algEquiv_or, Complex.starConvex_slitPlane, Matrix.IsHermitian.eigenvalues_mem_spectrum_real, MeasureTheory.norm_condExpInd_le, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffAt.exists_eventually_eq_hasDerivAt, CStarAlgebra.norm_negPart_le, NumberField.mixedEmbedding.negAt_apply_norm_isReal, MeasureTheory.integrable_comp_smul_iff, MeasureTheory.Measure.addHaar_preimage_linearEquiv, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf, abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, SchwartzMap.integral_bilinear_lineDerivOp_right_eq_neg_left, MeasureTheory.hausdorffMeasure_affineSegment, IsCompact.measure_eq_biInf_integral_hasCompactSupport, stereographic_apply, Affine.Triangle.sbtw_touchpoint_empty, Orientation.rotation_apply, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, deriv_fourierChar, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, iteratedFDeriv_fourierIntegral, dist_lt_dist_add_dist_iff, hasDerivWithinAt_abs_neg, TestFunction.instLocallyConvexSpaceReal, StieltjesFunction.ae_hasDerivAt, MeasureTheory.withDensityᵥ_rnDeriv_smul, IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero_symm, Affine.Simplex.touchpoint_empty_notMem_affineSpan_of_ne, MeasureTheory.condExpInd_disjoint_union_apply, EuclideanGeometry.Sphere.IsTangentAt_iff_angle_eq_pi_div_two, differentiableAt_negMulLog, StrongConvexOn.strictConvexOn, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Orientation.inner_rightAngleRotationAux₁_left, MeasureTheory.integral_indicator_const, MeasureTheory.exists_le_integral, hasDerivAt_ofReal_cpow_const', LineDeriv.tensorLineDerivTwo_canonicalCovariantTensor_eq_sum, Orientation.areaForm_apply_self, CFC.sqrt_le_sqrt, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff, MeasureTheory.integrable_rnDeriv_smul_iff, differentiable_fourierChar_neg_bilinear_right, ProbabilityTheory.strong_law_ae_simpleFunc_comp, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one_aux, Complex.conjCLE_norm, Affine.Simplex.sSameSide_point_excenter_singleton, ProbabilityTheory.variance_linearMap_gaussianReal, AffineSubspace.signedInfDist_def, MeasureTheory.Measure.addHaar_closedBall, NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply, Affine.Simplex.acuteAngled_reindex_iff, Submodule.angle_coe, tendsto_integral_gaussian_smul, spectrum.instCompactSpaceNNReal, MeasureTheory.L1.norm_Integral_le_one, Affine.Simplex.mem_altitude, Affine.Simplex.isDiameter_ninePointCircle, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, ContDiff.dimH_range_le, signedDist_lineMap_right, IsSelfAdjoint.toReal_spectralRadius_eq_norm, Affine.Triangle.sSameSide_affineSpan_pair_point_excenter_singleton, AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Affine.Triangle.dist_div_sin_angle_div_two_eq_circumradius, Complex.imCLM_enorm, SchwartzMap.tsupport_derivCLM_subset, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, Filter.Tendsto.cesaro_smul, Affine.Simplex.mongePlane_reindex, det_rotation, MeasureTheory.integrable_continuousLinearMap_prod, Continuous.fourierPowSMulRight, integral_complex_ofReal, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, RCLike.conjAe_coe, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, Orientation.rightAngleRotation_map, VectorFourier.norm_fourierSMulRight_le, AlternatingMap.measure_parallelepiped, EuclideanGeometry.Sphere.isTangentAt_iff_dist_sq_eq_power, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, KuratowskiEmbedding.embeddingOfSubset_dist_le, integral_ofReal, MeasureTheory.charFunDual_map, Orientation.two_zsmul_oangle_smul_left_self, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le, Affine.Simplex.signedInfDist_affineCombination, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, signedDist_apply, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, CFC.norm_rpow, fourierCoeffOn_eq_integral, ProbabilityTheory.IsGaussian.charFunDual_eq_of_integral_eq_zero, MeasureTheory.measure_average_le_pos, MeasureTheory.SimpleFunc.integral_const, ProbabilityTheory.variance_dual_prod, ProbabilityTheory.isGaussian_map_equiv, EuclideanGeometry.dist_affineCombination, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, differentiableAt_sinh, Orientation.oangle_sign_smul_add_smul_right, signedDist_eq_dist_iff_vsub_mem_span, EuclideanGeometry.Sphere.mem_commonIntTangents_iff, differentiable_iteratedDeriv_sinh, AffineSubspace.direction_perpBisector, Besicovitch.multiplicity_le, AffineSubspace.angle_coe, MeasureTheory.measure_setAverage_le_pos, MeasureTheory.Integrable.measure_le_integral, intervalIntegral.integral_comp_mul_right, rotation_symm, ContinuousLinearMap.extendTo𝕜'_apply, Affine.Simplex.ninePointCircle_map, VectorFourier.norm_fourierPowSMulRight_le, EuclideanGeometry.dist_smul_vadd_eq_dist, derivWithin_Ioi_eq_Ici, Complex.equivRealProdCLM_symm_apply_im, MeasureTheory.integral_singleton, intervalIntegral.integral_comp_div_sub, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, ConvexBody.hausdorffDist_coe, hasFDerivAt_fourierChar_neg_bilinear_right, MeasureTheory.measure_le_average_pos, AffineSubspace.mem_perpBisector_iff_inner_eq, ContDiffMapSupportedIn.continuous_iff_comp, MeasureTheory.Measure.setIntegral_toReal_rnDeriv_le, VectorFourier.norm_fourierSMulRight, RCLike.ofReal_im_ax, MeasureTheory.setLIntegral_tilted', InnerProductSpace.volume_closedBall, differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, NormedSpace.norm_smul_normalize, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, LinearMap.mem_span_iff_bound, homeomorphSphereProd_apply_fst_coe, MeasureTheory.ProbabilityMeasure.continuous_integral_continuousMap, strongConvexOn_iff_convex, EuclideanGeometry.angle_right_midpoint_eq_pi_div_two_of_dist_eq, intervalIntegral.integral_hasStrictDerivAt_right, Orientation.oangle_eq_pi_iff_sameRay_neg, MeasureTheory.charFunDual_pi, strongConvexOn_zero, SchwartzMap.fourier_fderivCLM_eq, ConvexBody.hausdorffEDist_coe, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, Complex.hasStrictFDerivAt_log_real, MeasureTheory.SimpleFunc.setToSimpleFunc_const', hasStrictDerivAt_tan, real_inner_smul_left, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, intervalIntegral.integral_hasStrictDerivAt_left, NumberField.mixedEmbedding.fundamentalCone.abs_det_fderiv_expMapBasis, MeasureTheory.FiniteMeasure.continuous_iff_forall_continuousMap_continuous_integral, ProbabilityTheory.deriv_cgf_zero, Orientation.oangle_rotation_self_right, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, NumberField.mixedEmbedding.euclidean.finrank, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, differentiable_fourierChar_neg_bilinear_left, ConvexBody.hausdorffEdist_coe, AffineBasis.centroid_mem_interior_convexHull, MeasureTheory.lpNorm_eq_integral_norm_rpow_toReal, fderiv_norm_smul_pos, EuclideanGeometry.concyclic_or_collinear_of_two_zsmul_oangle_eq, Quaternion.coe_ofComplex, hasDerivAt_arctan, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_expMap_symm, MeasureTheory.Measure.addHaar_closedBall_mul, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, CStarAlgebra.star_right_conjugate_le_norm_smul, TestFunction.instContinuousSMulReal, MeasureTheory.integral_comp_mul_left_Ioi, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.reCLM_norm, ContinuousMapZero.toNNReal_neg_smul, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, MeasureTheory.SimpleFunc.map_integral, continuousOn_cfc_nnreal_setProd, ProbabilityTheory.instIsGaussianMapHAdd, MeasureTheory.exists_upperSemicontinuous_le_integral_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, NumberField.mixedEmbedding.convexBodySum_convex, convex_halfSpace_im_le, MeasureTheory.measure_smul_setAverage, ContDiffPointwiseHolderAt.iteratedFDeriv, MeasureTheory.Integrable.comp_smul, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, MeasureTheory.Measure.LinearMap.quasiMeasurePreserving, ContDiffMapSupportedIn.structureMapCLM_zero_injective, exists_eq_const_mul_setIntegral_of_nonneg, Matrix.PosSemidef.sqrt_mul_self, Orientation.areaForm_rightAngleRotation_right, MeasureTheory.setIntegral_condExpL1CLM, SchwartzMap.lineDerivOp_apply, deriv_arcsin_aux, IsLocalMin.fderiv_eq_zero, Module.Basis.map_addHaar, MeasureTheory.Measure.setIntegral_toReal_rnDeriv_eq_withDensity, MeasureTheory.tilted_eq_withDensity_nnreal, differentiableAt_qaryEntropy, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, intervalIntegral.integral_comp_mul_add, Affine.Simplex.touchpoint_mem_affineSpan_simplex, aemeasurable_derivWithin_Ici, Orientation.inner_smul_rotation_pi_div_two_smul_left, MeasureTheory.Measure.addHaar_ball, real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul, EuclideanGeometry.angle_eq_zero_iff_ne_and_wbtw, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, differentiable_arsinh, MeasureTheory.condExp_bot', setIntegral_re_add_im, SchwartzMap.smulLeftCLM_ofReal, Orientation.oangle_smul_right_of_pos, abs_real_inner_div_norm_mul_norm_eq_one_iff, MeasureTheory.exists_eq_setAverage, fderiv_norm_rpow, ProbabilityTheory.instIsGaussianProdProdOfSecondCountableTopologyEither, intervalIntegral.integral_hasDerivAt_left, isTheta_deriv_ofReal_cpow_const_atTop, hasStrictDerivAt_const_rpow, MeasureTheory.FiniteMeasure.continuous_integral_continuousMap, MeasureTheory.integral_finset, Affine.Simplex.circumsphere_reindex, CStarAlgebra.norm_mem_spectrum_of_nonneg, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, Orientation.inner_smul_rotation_pi_div_two_smul_right, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, KuratowskiEmbedding.exists_isometric_embedding, curveIntegral_def', MeasureTheory.rnDeriv_tilted_right, EuclideanGeometry.Sphere.direction_orthRadius, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, NNRealRMK.integral_rieszMeasure, Complex.rightAngleRotation, EuclideanGeometry.dist_sq_add_dist_sq_eq_two_mul_dist_midpoint_sq_add_half_dist_sq, Affine.Simplex.circumradius_reindex, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, ContinuousMapZero.toNNReal_smul, AffineSubspace.signedInfDist_apply_self, CFC.log_algebraMap, MeasureTheory.setIntegral_nonneg_of_ae, ProbabilityTheory.covarianceBilinDual_of_not_memLp, MeasureTheory.FiniteMeasure.continuous_iff_forall_continuous_integral, ProbabilityTheory.strong_law_ae_of_measurable, InnerProductGeometry.angle_eq_pi_iff, ModularGroup.lcRow0_apply, deriv_circleMap_eq_zero_iff, Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm, PeriodPair.indep, differentiable_rpow_const, isConformalMap_complex_linear, zero_at_infty_vector_fourierIntegral, ProperCone.innerDual_iUnion, norm_injOn_ray_left, MeasureTheory.ofReal_average, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, MeasureTheory.condExpIndSMul_ae_eq_smul, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, Quaternion.linearIsometryEquivTuple_apply, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, IsOpen.affineSpan_eq_top, SmoothPartitionOfUnity.contMDiff_smul, Affine.Triangle.sSameSide_affineSpan_pair_excenter_singleton_point, interval_average_eq, instNonemptySeedRatReal, TemperedDistribution.derivCLM_apply_apply, integral_re, MeasureTheory.Supermartingale.smul_nonneg, abs_signedDist_le_dist, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, hasStrictFDerivAt_rpow_of_neg, intervalIntegral.deriv_integral_of_tendsto_ae_left, Complex.isometryOfOrthonormal_symm_apply, hasStrictDerivAt_rpow_const, MeasureTheory.weightedSMul_smul_measure, MeasureTheory.exists_le_average, intervalIntegral.integral_hasFDerivAt, ProperCone.innerDual_toSubmodule, InnerProductSpace.HarmonicAt.comp_CLM, Orientation.inner_rightAngleRotation_self, MeasureTheory.condExp_stronglyMeasurable_bilin_of_bound, MeasureTheory.setIntegral_le_nonneg, RCLike.ofRealCLM_coe, ProbabilityTheory.instIsGaussianMapHSub_1, Affine.Triangle.dist_div_sin_oangle_div_two_eq_circumradius, InnerProductSpace.laplacian_CLE_comp_left, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, EuclideanGeometry.affineIndependent_iff_of_two_zsmul_oangle_eq, eventually_norm_trivializationAt_lt, integral_withDensity_eq_integral_smul₀, ProbabilityTheory.IsGaussian.charFunDual_eq', convex_halfSpace_re_gt, isConnected_setOf_sameRay, MeasureTheory.integrableOn_Ioi_comp_rpow_iff, RealRMK.le_rieszMeasure_tsupport_subset, hasDerivAt_Gamma_nat, Orientation.oangle_smul_right_self_of_nonneg, differentiableAt_abs, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul', ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, ConvexOn.real_sSup_of_nat_affine_eq, MeasureTheory.integrable_fun_norm_addHaar, MeasureTheory.integral_norm_eq_pos_sub_neg, ProbabilityTheory.isPositive_covarianceOperator, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Affine.Simplex.height_reindex, RCLike.conj_smul, not_continuousAt_deriv_qaryEntropy_one, Affine.Simplex.inradius_map, Complex.map_isometryOfOrthonormal, MeasureTheory.tilted_apply_eq_ofReal_integral', OpenPartialHomeomorph.unitBallBall_symm_apply, quasispectrum.instCompactSpaceNNReal, Orientation.oangle_neg_orientation_eq_neg, Orientation.oangle_sign_smul_add_smul_left, MeasureTheory.eval_integral_piLp, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, EuclideanGeometry.Sphere.secondInter_eq_lineMap, measurable_derivWithin_Ici, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, MeasureTheory.integral_llr_tilted_right, Matrix.IsHermitian.mulVec_eigenvectorBasis, MeasureTheory.average_union_mem_openSegment, signedDist_apply_linear, EuclideanGeometry.Sphere.secondInter_map, differentiableAt_sin, Bundle.RiemannianMetric.continuousAt, integral_re_add_im, parallelepiped_orthonormalBasis_one_dim, EuclideanGeometry.Sphere.isDiameter_iff_left_mem_and_midpoint_eq_center, MeasureTheory.tendsto_integral_norm_approxOn_sub, Complex.reCLM_enorm, MeasureTheory.integral_fun_snd, MeasureTheory.condExpInd_empty, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, hasDerivAt_sinh, MeasureTheory.condExpL1CLM_smul, real_inner_smul_self_right, dist_smul_add_one_sub_smul_le, Subalgebra.SeparatesPoints.rclike_to_real, MeasureTheory.rnDeriv_tilted_left_self, VectorFourier.hasFDerivAt_fourierChar_smul, Orientation.rotation_pi, InformationTheory.not_differentiableAt_klFun_zero, deriv_cosh, PeriodPair.lattice_eq_span_range_basis, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, MeasureTheory.measure_unitBall_eq_integral_div_gamma, exists_extension_norm_eq, RCLike.real_smul_eq_coe_mul, ContDiffMapSupportedIn.structureMapLM_zero_apply, SchwartzMap.differentiableAt, nnnorm_cfcₙ_nnreal_le, RCLike.ofRealAm_coe, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, MeasureTheory.average_union, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, gauge_closedBall, OpenPartialHomeomorph.univUnitBall_symm_apply, deriv_sin, AffineSubspace.mem_perpBisector_pointReflection_iff_inner_eq_zero, SmoothBumpCovering.embeddingPiTangent_coe, IsSelfAdjoint.le_algebraMap_norm_self, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ProbabilityTheory.covarianceBilinDual_of_not_memLp', MeasureTheory.SimpleFunc.integral_eq_lintegral', intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, Orientation.two_zsmul_oangle_smul_smul_self, SchwartzMap.fourier_convolution, tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_continuousOn, Complex.log_inv_eq_integral, SmoothPartitionOfUnity.IsSubordinate.contMDiff_finsum_smul, Orientation.rotation_symm_apply, AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, VectorFourier.integrable_fourierPowSMulRight, Affine.Simplex.altitudeFoot_mem_affineSpan_faceOpposite, expNegInvGlue.differentiable_polynomial_eval_inv_mul, continuousOn_cfcₙ_nnreal_setProd, posTangentConeAt_univ, EuclideanGeometry.inversion_eq_lineMap, CFC.real_exp_eq_normedSpace_exp, CFC.norm_sqrt, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, NumberField.Units.basisOfIsMaxRank_fundSystem, CFC.continuousOn_rpow, NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, AffineIsometry.angle_map, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, Orientation.rotation_oangle_eq_iff_norm_eq, Affine.Simplex.signedInfDist_apply_of_ne, dist_sq_lineMap_of_inner_eq_zero, MeasureTheory.setIntegral_nonpos_of_ae_restrict, signedDist_left_lineMap, Affine.Simplex.direction_altitude, deriv_mul_log_zero, ProbabilityTheory.Kernel.integral_withDensity, NumberField.mixedEmbedding.norm_negAt, Orientation.oangle_sign_smul_sub_right, MeasureTheory.Measure.setIntegral_toReal_rnDeriv, MeasureTheory.L1.integral_eq, hasDerivAt_sqrt, intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right, OpenPartialHomeomorph.unitBallBall_apply, Affine.Simplex.circumcenter_eq_centroid, MeasureTheory.weightedSMul_zero_measure, taylor_within_apply, hasDerivWithinAt_arccos_Iic, ContDiffBump.convolution_tendsto_right_of_continuous, Affine.Simplex.excenter_reindex, measurableSet_of_differentiableWithinAt_Ici, fderivInnerCLM_apply, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, eq_midpoint_of_dist_eq_half, MeasureTheory.integral_smul_measure, deriv_sqrt_mul_log', SchwartzMap.denseRange_toLpCLM, ConformalAt.const_smul, ContDiffPointwiseHolderAt.fst, differentiableAt_binEntropy_iff_ne_zero_one, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, CFC.nnnorm_nnrpow, fderiv_fourierChar_neg_bilinear_left_apply, deriv_tan, Module.Basis.addHaar_self, isConformalMap_iff_is_complex_or_conj_linear, ContinuousLinearEquiv.contDiffPointwiseHolderAt_left_comp, RCLike.span_one_I, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, Affine.Triangle.sSameSide_affineSpan_pair_incenter_point, differentiable_fourier, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, MeasureTheory.charFunDual_eq_prod_iff', Matrix.PosDef.posDef_sqrt, MeasureTheory.StronglyMeasurable.norm_approxBounded_le, Orientation.rightAngleRotation_neg_orientation, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, hasStrictDerivAt_exp, CFC.norm_nnrpow, Affine.Simplex.centroid_eq_affineCombination_of_pointsWithCircumcenter, InformationTheory.deriv_klFun, CFC.conjugate_rpow_neg_one_half, MeasureTheory.integral_exp_pos, differentiable_sigmoid, integral_comp_pi_polarCoord_symm, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, Affine.Simplex.incenter_notMem_affineSpan_faceOpposite, Affine.Simplex.touchpoint_empty_mem_interior_faceOpposite, GromovHausdorff.eq_toGHSpace_iff, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, ConvexOn.real_sSup_affine_eq, RCLike.re_extendTo𝕜'ₗ, CFC.log_smul, MeasureTheory.charFun_map_smul, ZSpan.setFinite_inter, convex_closedBall, MeasureTheory.lintegral_coe_eq_integral, MeasureTheory.integral_coe_le_of_lintegral_coe_le, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, sameRay_iff_norm_smul_eq, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, ContDiffMapSupportedIn.structureMapLM_apply, AffineSubspace.right_mem_perpBisector, ContinuousLinearMap.circleAverage_comp_comm, MeasureTheory.toReal_rnDeriv_tilted_right, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, le_iff_norm_sqrt_mul_rpow, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_left, Complex.det_conjLIE, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, Unitary.path_apply, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, SpectrumRestricts.nnreal_iff_nnnorm, MeasureTheory.integral_countable', RCLike.realLinearIsometryEquiv_apply, isBigO_rpow_zero_log_smul, ProperCone.innerDual_innerDual, intervalIntegral.integral_deriv_of_contDiffOn_Icc, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_ne, curveIntegralFun_def, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, Orientation.areaForm_rightAngleRotation_left, LinearIsometry.angle_map, NumberField.mixedEmbedding.disjoint_negAt_plusPart, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_le, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, RCLike.imCLM_apply, RightDerivMeasurableAux.le_of_mem_A, EuclideanGeometry.Sphere.finrank_orthRadius, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, cfc_setIntegral, aestronglyMeasurable_withDensity_iff, ConvexOn.slope_le_leftDeriv_of_mem_interior, Affine.Simplex.points_vsub_eulerPoint, InnerProductGeometry.angle_smul_left_of_pos, MeasureTheory.integral_toReal, Orientation.measure_orthonormalBasis, Affine.Simplex.ExcenterExists.sSameSide_excenter_point_iff, MeasureTheory.integral_mul_const, MeasureTheory.Measure.integral_comp_div, intervalIntegral.integral_const, fderiv_norm_sq, Seminorm.smul_le_smul, MeasureTheory.Measure.toSphere_apply_univ', exists_eq_const_mul_setIntegral_of_ae_nonneg, MeasureTheory.condExp_bot_ae_eq, Complex.equivRealProdCLM_apply, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', EuclideanGeometry.angle_eq_pi_iff_sbtw, MeasureTheory.condExpL1_eq, ModularGroup.smul_eq_lcRow0_add, conformalAt_iff', MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendsto, MeasureTheory.tilted_apply', hasDerivWithinAt_arcsin_Iic, hasDerivAt_abs_pos, ContDiffMapSupportedIn.structureMapLM_eq, MeasureTheory.L1.SimpleFunc.setToL1S_smul_left, Orientation.oangle_smul_left_of_pos, ProbabilityTheory.instIsGaussianMapNeg, MeasureTheory.exists_notMem_null_average_le, IsMIntegralCurveAt.eventually_hasDerivAt, LipschitzWith.integral_lineDeriv_mul_eq, MeasureTheory.integrableOn_Ioi_comp_rpow_iff', MeasureTheory.Measure.ContinuousLinearMap.quasiMeasurePreserving, Affine.Triangle.dist_point_centroid, integral_im, MeasureTheory.snd_integral_withLp, Affine.Triangle.orthocenter_reindex, HasCompactSupport.hasFDerivAt_convolution_left, NumberField.mixedEmbedding.convexBodyLT'_convex, Affine.Simplex.circumradius_map, intervalIntegral.integral_const_mul, CFC.abs_eq_zero_iff, Bundle.ContinuousRiemannianMetric.isVonNBounded, Matrix.PosSemidef.sqrt_eq_iff_eq_sq, TemperedDistribution.smulLeftCLM_apply_apply, Complex.conjCLE_coe, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, Complex.continuousOn_one_add_mul_inv, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_tendsto, Orientation.inner_mul_areaForm_sub, ProbabilityTheory.covarianceOperator_of_not_memLp, AffineIsometryEquiv.pointReflection_midpoint_right, MeasureTheory.Measure.addHaar_closedBall', uniformConvexOn_zero, deriv2_sqrt_mul_log, EuclideanGeometry.Sphere.infDist_eq_radius_iff_isTangent, hasStrictDerivAt_log_of_pos, Affine.Simplex.altitude_def, ZSpan.fundamentalDomain_ae_parallelepiped, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, Complex.rotation, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, RCLike.complexLinearIsometryEquiv_apply, parallelepiped_single, BoundedContinuousFunction.probCharDual_apply, deriv2_negMulLog, intervalIntegral.inv_smul_integral_comp_add_div, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Urysohns.CU.lim_eq_midpoint, Nonneg.instIsometricContinuousFunctionalCalculus, hasFDerivAt_integral_of_dominated_loc_of_lip, ContDiffMapSupportedIn.iteratedFDerivWithOrderLM_apply_of_le, EuclideanGeometry.Sphere.self_mem_orthRadius, Affine.Simplex.insphere_reindex, kuratowskiEmbedding.isometry, PeriodPair.instIsZLatticeRealComplexLattice, GaussianFourier.integral_rexp_neg_mul_sq_norm, ampleSet_univ, MeasureTheory.Measure.addHaar_real_closedBall, MeasureTheory.toReal_setLAverage, intervalIntegral.differentiableOn_integral_of_continuous, differentiable_circleMap, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge, MeasureTheory.average_eq, Affine.Simplex.sSameSide_point_incenter, ProbabilityTheory.indepFun_iff_charFunDual_prod, le_iff_norm_sqrt_mul_sqrt_inv, intervalIntegral.smul_integral_comp_add_mul, Complex.restrictScalars_toSpanSingleton', differentiableAt_negMulLog_iff, MeasureTheory.Measure.integral_comp_inv_mul_right, Besicovitch.SatelliteConfig.exists_normalized_aux3, AffineSubspace.isPreconnected_setOf_sSameSide, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, ProbabilityTheory.integral_tilted_mul_eq_cgf, deriv2_mul_log, LinearIsometryEquiv.coe_symm_toMeasurableEquiv, MeasureTheory.Measure.addHaar_smul, Complex.reCLM_apply, hasDerivAt_negMulLog, Orientation.abs_volumeForm_apply_le, Affine.Simplex.ExcenterExists.sSameSide_point_excenter_iff, Complex.conjLIE_symm, Affine.Simplex.signedInfDist_incenter, aemeasurable_derivWithin_Ioi, MeasureTheory.L1.norm_eq_integral_norm, MeasureTheory.Measure.addHaar_image_homothety, MeasureTheory.setIntegral_const, norm_combo_lt_of_ne, Affine.Simplex.inner_vsub_vsub_altitudeFoot_eq_height_sq bridge: BoxIntegral.hasIntegralIndicatorConst

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
nnnorm_mul_toNNReal 📖	mathematical	Real instLE instZero	NNReal Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring instSemiringNNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing normedCommRing toNNReal instMul	—	mul_comm toNNReal_mul_nnnorm
toNNReal_mul_nnnorm 📖	mathematical	Real instLE instZero	NNReal Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring instSemiringNNReal toNNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing normedCommRing instMul	—	NNReal.eq toNNReal_of_nonneg nnnorm_mul NormedDivisionRing.toNormMulClass norm_of_nonneg

SubfieldClass

Definitions

Name	Category	Theorems
toNormedField 📖	CompOp	—

(root)

Definitions

Name	Category	Theorems
DenselyNormedField 📖	CompData	—
NontriviallyNormedField 📖	CompData	1 math math: NormedField.discreteTopology_or_nontriviallyNormedField
NormedDivisionRing 📖	CompData	—
NormedField 📖	CompData	1 math math: NormedField.discreteTopology_or_nontriviallyNormedField

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_inv_inv₀ 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist SeminormedRing.toPseudoMetricSpace NormedRing.toSeminormedRing NormedDivisionRing.toNormedRing InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid GroupWithZero.toDivisionMonoid DivisionSemiring.toGroupWithZero DivisionRing.toDivisionSemiring NormedDivisionRing.toDivisionRing Real DivInvMonoid.toDiv Real.instDivInvMonoid Real.instMul Norm.norm NormedDivisionRing.toNorm	—	dist_eq_norm inv_sub_inv' norm_mul NormedDivisionRing.toNormMulClass norm_inv mul_comm mul_assoc dist_eq_norm' div_eq_mul_inv mul_inv
enorm_inv 📖	mathematical	—	ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing NormedDivisionRing.toNormedRing InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid GroupWithZero.toDivisionMonoid DivisionSemiring.toGroupWithZero DivisionRing.toDivisionSemiring NormedDivisionRing.toDivisionRing ENNReal ENNReal.instInv	—	nnnorm_inv ENNReal.coe_inv
nndist_inv_inv₀ 📖	mathematical	—	NNDist.nndist PseudoMetricSpace.toNNDist SeminormedRing.toPseudoMetricSpace NormedRing.toSeminormedRing NormedDivisionRing.toNormedRing InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid GroupWithZero.toDivisionMonoid DivisionSemiring.toGroupWithZero DivisionRing.toDivisionSemiring NormedDivisionRing.toDivisionRing NNReal NNReal.instDiv Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring instSemiringNNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing	—	NNReal.eq dist_inv_inv₀
nnnorm_commutator_sub_one_le 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder instPartialOrderNNReal NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing NormedDivisionRing.toNormedRing SubNegMonoid.toSub AddGroup.toSubNegMonoid NormedAddGroup.toAddGroup NormedAddCommGroup.toNormedAddGroup NonUnitalNormedRing.toNormedAddCommGroup Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing NormedRing.toRing InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid GroupWithZero.toDivisionMonoid DivisionSemiring.toGroupWithZero DivisionRing.toDivisionSemiring NormedDivisionRing.toDivisionRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring instSemiringNNReal instOfNatAtLeastTwo AddMonoidWithOne.toNatCast AddCommMonoidWithOne.toAddMonoidWithOne NonAssocSemiring.toAddCommMonoidWithOne Nat.instAtLeastTwoHAddOfNat NNReal.instInv	—	Nat.instAtLeastTwoHAddOfNat Units.val_inv_eq_inv_val nnnorm_inv nnnorm_commutator_units_sub_one_le
nnnorm_div 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing NormedDivisionRing.toNormedRing DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NNReal NNReal.instDiv	—	map_div₀ MonoidWithZeroHom.monoidWithZeroHomClass NormedDivisionRing.to_normOneClass NormedDivisionRing.toNormMulClass
nnnorm_inv 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing NormedDivisionRing.toNormedRing InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid GroupWithZero.toDivisionMonoid DivisionSemiring.toGroupWithZero DivisionRing.toDivisionSemiring NormedDivisionRing.toDivisionRing NNReal NNReal.instInv	—	NNReal.eq norm_inv
nnnorm_zpow 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing NormedDivisionRing.toNormedRing DivInvMonoid.toZPow DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NNReal NNReal.zpow	—	map_zpow₀ MonoidWithZeroHom.monoidWithZeroHomClass NormedDivisionRing.to_normOneClass NormedDivisionRing.toNormMulClass
norm_commutator_sub_one_le 📖	mathematical	—	Real Real.instLE Norm.norm NormedDivisionRing.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid NormedAddGroup.toAddGroup NormedAddCommGroup.toNormedAddGroup NonUnitalNormedRing.toNormedAddCommGroup NormedRing.toNonUnitalNormedRing NormedDivisionRing.toNormedRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing NormedRing.toRing InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid GroupWithZero.toDivisionMonoid DivisionSemiring.toGroupWithZero DivisionRing.toDivisionSemiring NormedDivisionRing.toDivisionRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne Real.instMul instOfNatAtLeastTwo Real.instNatCast Nat.instAtLeastTwoHAddOfNat Real.instInv	—	Nat.instAtLeastTwoHAddOfNat Units.val_inv_eq_inv_val norm_inv norm_commutator_units_sub_one_le
norm_div 📖	mathematical	—	Norm.norm NormedDivisionRing.toNorm DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing Real Real.instDivInvMonoid	—	map_div₀ MonoidWithZeroHom.monoidWithZeroHomClass NormedDivisionRing.to_normOneClass NormedDivisionRing.toNormMulClass
norm_inv 📖	mathematical	—	Norm.norm NormedDivisionRing.toNorm InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid GroupWithZero.toDivisionMonoid DivisionSemiring.toGroupWithZero DivisionRing.toDivisionSemiring NormedDivisionRing.toDivisionRing Real Real.instInv	—	map_inv₀ MonoidWithZeroHom.monoidWithZeroHomClass NormedDivisionRing.to_normOneClass NormedDivisionRing.toNormMulClass
norm_zpow 📖	mathematical	—	Norm.norm NormedDivisionRing.toNorm DivInvMonoid.toZPow DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing Real Real.instDivInvMonoid	—	map_zpow₀ MonoidWithZeroHom.monoidWithZeroHomClass NormedDivisionRing.to_normOneClass NormedDivisionRing.toNormMulClass

---

← Back to Index