| Name | Category | Theorems |
|---|
toNontriviallyNormedField 📖 | CompOp | 2281 mathmath: ContinuousMap.dense_setOf_contDiff, logDeriv_tprod_eq_tsum, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, TestFunction.lineDerivCLM_apply_of_le, LinearMap.IsSymmetric.clm_adjoint_eq, Real.differentiableOn_arcosh, Real.hasDerivAt_arccos, Real.hasDerivAt_fourier, WeakFEPair.differentiableAt_Λ, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, HasStrictFDerivAt.log, ContDiffAt.csin, UpperHalfPlane.mdifferentiable_num, MeasureTheory.setToFun_add_left, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, HasDerivWithinAt.clog_real, taylor_integral_remainder, SchwartzMap.lineDerivOpCLM_eq, HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div, ConformalAt.differentiableAt, Real.iteratedDerivWithin_cos_Ioo, deriv_exp, HasDerivAt.ccos, ZMod.differentiableAt_LFunction, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Complex.differentiableAt_sin, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, InnerProductSpace.isPositive_rankOne_self, SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, HasDerivAt.const_rpow, Real.differentiable_arctan, exists_contMDiffMap_zero_one_of_isClosed, differentiable_const_cpow_of_neZero, Real.differentiableAt_mulExpNegMulSq, Differentiable.csin, Complex.meromorphicOrderAt_canonicalFactor, HasStrictFDerivAt.abs_of_pos, ContDiffOn.cos, ContinuousLinearMap.integral_compLp, CuspFormClass.holo, Complex.cderiv_eq_deriv, HasFDerivWithinAt.ccos, InnerProductSpace.toLinearIsometry_toDual, HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div, ModularFormClass.differentiableAt_comp_ofComplex, deriv_arctan, Real.iteratedDeriv_odd_cos, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, Real.hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, Real.differentiableAt_arcsin, DifferentiableWithinAt.log, hasFDerivAt_iff_hasGradientAt, HasStrictDerivAt.rpow, StrictConvexOn.slope_lt_leftDeriv, HurwitzZeta.differentiableAt_hurwitzZetaEven, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, ContDiffOn.rpow_const_of_le, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, Real.contDiffOn_log, ModularFormClass.hasFPowerSeries_cuspFunction, Real.fderiv_fourierIntegral, Complex.iteratedDeriv_even_cosh, MeasureTheory.contDiff_charFun', ModularFormClass.qExpansionFormalMultilinearSeries_radius, InnerProductSpace.rankOne_one_left_eq_innerSL, ConvexOn.rightDeriv_le_slope_of_mem_interior, ContDiffAt.implicitFunction_def, hasDerivAt_sqrt_mul_log, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, StrongDual.norm_extendRCLike, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, HasStrictFDerivAt.csin, SmoothBumpFunction.support_eq_symm_image, ContinuousLinearMap.opNorm_bound_of_ball_bound, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, 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, taylorWithinEval_hasDerivAt_Ioo, Real.analyticOn_cos, PeriodPair.coeff_weierstrassPExceptSeries, ProbabilityTheory.analyticOn_mgf, Complex.hasSum_deriv_of_summable_norm, complexOfReal_hasDerivWithinAt, Complex.analyticAt_cosh, MeasureTheory.contDiffOn_convolution_left_with_param, Real.contDiffAt_arcosh, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, HasCompactSupport.integral_Ioi_deriv_eq, hasDerivAt_integral_of_dominated_loc_of_lip, OpenPartialHomeomorph.contDiff_unitBallBall_symm, deriv_abs, Complex.meromorphic_digamma, Real.nnnorm_deriv_mulExpNegMulSq_le_one, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, Real.deriv_binEntropy, intervalIntegral.integral_derivWithin_uIcc_of_contDiffOn_uIcc, PeriodPair.iteratedDeriv_weierstrassPExcept_self, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, DifferentiableOn.sqrt, intervalIntegral.integral_hasDerivWithinAt_right, norm_jacobiTheta₂_term_fderiv_ge, hasStrictFDerivAt_of_hasFDerivAt_of_continuousAt, contDiffAt_norm_smul_iff, InnerProductSpace.isIdempotentElem_rankOne_self, AnalyticOn.im_ofReal, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, ContDiff.sigmoid, SmoothBumpFunction.rOut_pos, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, Real.analyticOnNhd_sin, summableLocallyUniformlyOn_iteratedDerivWithin_cexp, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, ContDiff.hasStrictFDerivAt, hasDerivWithinAt_taylorWithinEval, AnalyticOn.cpow, fderivWithin_csinh, MeasureTheory.L1.norm_setToL1_le, StrictConvexOn.deriv_lt_slope, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasDerivWithinAt.complexToReal_fderiv', circleIntegral_def_Icc, Differentiable.cosh, Complex.hasSum_taylorSeries_of_entire, ContinuousLinearMap.integral_apply, 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, UpperHalfPlane.analyticAt_smul, Real.fourier_continuousLinearMap_apply, MeasureTheory.iteratedDeriv_charFun_zero, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, Unitization.real_cfcₙ_eq_cfc_inr, intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, ContDiffBumpBase.smooth, LipschitzWith.memLp_lineDeriv, AnalyticOnNhd.re_ofReal, Real.analyticOn_cosh, SmoothPartitionOfUnity.contMDiffAt_finsum, deriv_cpow_const, UpperHalfPlane.deriv_smul, differentiableWithinAt_abs_pos, ContDiffMapSupportedIn.structureMapCLM_apply, eventually_enorm_mfderivWithin_symm_extChartAt_lt, ContDiffOn.ccosh, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, Complex.analyticOn_sin, isClosedEmbedding_cfcₙAux, DifferentiableWithinAt.norm, SmoothPartitionOfUnity.locallyFinite, DifferentiableWithinAt.sqrt, 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, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, DifferentiableOn.deriv, SmoothPartitionOfUnity.nonneg, StrictConcaveOn.slope_lt_rightDeriv, hasDerivAt_bernoulliFun, DifferentiableOn.cpow_const, ContDiffOn.cosh, deriv_csinh, HasFDerivWithinAt.complexOfReal, StrongDual.norm_extendRCLike_bound, ContDiffPointwiseHolderAt.isBigO, Real.deriv_log, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, StrictConvexOn.rightDeriv_lt_slope, SchwartzMap.decay', derivWithin_arctan, Complex.ofRealCLM_norm, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, DifferentiableAt.csinh, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, Continuous.integral_hasStrictDerivAt, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Continuous.exists_contDiff_dist_le_of_forall_mem_ball_dist_le, InnerProductSpace.toDual_symm_apply, AkraBazziRecurrence.isBigO_apply_r_sub_b, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.sigmoid, IsOpen.exists_msmooth_support_eq, IsOpen.exists_smooth_support_eq, Complex.iteratedDeriv_odd_sinh, ContDiffMapSupportedIn.seminorm_fderivLM_le, SmoothPartitionOfUnity.locallyFinite', ContDiffMapSupportedIn.seminorm_fderivLM_top, Complex.logDeriv_tendsto, Real.hasDerivAt_sin, Complex.hasStrictDerivAt_tan, intervalIntegral.integral_deriv_eq_sub, MeasureTheory.charFun_toDual_symm_eq_charFunDual, Real.differentiableOn_log, Differentiable.fderiv_norm_rpow, lintegral_fderiv_lineMap_eq_edist, Set.OrdConnected.image_deriv, iteratedDerivWithin_tsum_cexp_eq, ContDiffAt.hasStrictDerivAt, PeriodPair.iteratedDeriv_derivWeierstrassPExcept_self, Real.iteratedDeriv_even_cosh, Complex.hasSum_taylorSeries_on_ball, HasStrictDerivAt.cpow, Complex.meromorphicOn_canonicalFactor, Real.differentiableOn_arcsin, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, ContDiffOn.inner, inner_gradientWithin_right, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, ContDiffWithinAt.cosh, monomial_has_deriv_aux, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, DirichletCharacter.LSeries_twist_vonMangoldt_eq, StrictConvexOn.strictMonoOn_deriv, DifferentiableAt.clog, Complex.taylorSeries_eq_of_entire, Real.contDiffAt_tan, Real.hasDerivAt_mul_log, derivWithin_cosh, fderivWithin_sinh, differentiableWithinAt_abs, Complex.deriv_cos, Complex.not_differentiableAt_Gamma_neg_nat, Real.deriv_arccos, Complex.differentiableOn_dslope, hasDerivAt_of_hasDerivAt_of_ne, Real.hasStrictDerivAt_sinh, LocallyBoundedVariationOn.ae_differentiableWithinAt, Real.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, InnerProductSpace.inner_left_rankOne_apply, ContDiffOn.sqrt, Real.analyticWithinAt_sinh, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, ContDiffMapSupportedIn.contDiff, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, stronglyMeasurable_derivWithin_Ioi, AnalyticWithinAt.cpow, 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, StrictConcaveOn.slope_lt_derivWithin, HasFDerivAt.norm_sq, Complex.differentiableOn_sqrt, intervalIntegral.deriv_integral_right, analyticOnNhd_circleMap, antideriv_bernoulliFun, Real.hasStrictFDerivAt_rpow_of_pos, exists_partition_approximatesLinearOn_of_hasFDerivWithinAt, differentiableAt_sigmoid, Real.fourier_deriv, differentiableOn_iteratedDerivWithin_cotTerm, Real.analyticAt_cos, HasFDerivWithinAt.csin, ContinuousLinearMap.eq_adjoint_iff, Icc_isBoundaryPoint_bot, deriv_abs_neg, Complex.differentiableWithinAt_sqrt, Real.differentiableWithinAt_arccos_Ici, Complex.differentiableAt_GammaAux, Homeomorph.contDiff_unitBall, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, gelfandStarTransform_naturality, Real.sinc_eq_dslope, InnerProductSpace.rankOne_apply, MeasureTheory.convolution_tendsto_right, AnalyticOn.rexp, DifferentiableWithinAt.abs_of_pos, deriv.log, HarmonicAt.analyticAt_complex_partial, AnalyticAt.rexp, AnalyticOn.hasFPowerSeriesOnSubball, exists_deriv_eq_zero, LipschitzWith.hasFDerivAt_of_hasLineDerivAt_of_closure, IsSelfAdjoint.adjoint_eq, ContDiffMapSupportedIn.contDiff', InformationTheory.leftDeriv_klFun_one, exists_smooth_tsupport_subset, AnalyticOnNhd.rexp, RKHS.kernel_apply, RCLike.reCLM_norm, HasDerivWithinAt.sin, Real.hasDerivAt_arcosh, PeriodPair.analyticAt_weierstrassPExcept, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, Complex.analyticWithinAt_cosh, ContDiffAt.arsinh, DirichletCharacter.deriv_LFunction_eq_deriv_LSeries, AnalyticOn.sigmoid, ModularForm.tsum_logDeriv_eta_q, ConvexOn.monotoneOn_rightDeriv, ContDiffOn.rpow, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, SmoothBumpCovering.mem_extChartAt_source_of_eq_one, enorm_fderiv_norm_rpow_le, Real.iteratedDerivWithin_cos_Icc, ContinuousLinearMap.isPositive_self_comp_adjoint, Continuous.exists_contDiff_approx_and_eqOn, HasDerivAt.cpow, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, Unitization.sqrt_inr, MonotoneOn.intervalIntegrable_deriv, HasDerivAt.sqrt, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, ContinuousLinearMap.toSesqForm_apply_coe, MeasureTheory.MemLp.exist_eLpNorm_sub_le, Real.fourierIntegral_continuousMultilinearMap_apply, IsLocalExtr.lineDeriv_eq_zero, analyticAt_rexp, LinearIsometryEquiv.adjoint_eq_symm, fderivWithin_ccosh, 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, AnalyticAt.sigmoid', Complex.analyticOn_cosh, mfderivWithin_projIcc_one, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, HasFDerivAt.arctan, Real.analyticAt_sinh, ContDiff.arctan, Real.hasStrictDerivAt_arccos, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, Function.Periodic.differentiableAt_cuspFunction, HasStrictFDerivAt.abs, ContDiff.ccos, TestFunction.fderivCLM_ofSupportedIn, 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, ApproximatesLinearOn.norm_fderiv_sub_le, ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, CStarMatrix.norm_def', norm_sub_le_mul_volume_of_norm_lineDeriv_le, Real.norm_deriv_mulExpNegMulSq_le_one, binomialSeries_radius_eq_one, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Complex.taylorSeries_eq_on_ball', StrictConcaveOn.deriv_lt_slope, SmoothBumpFunction.exists_r_pos_lt_subset_ball, Icc_isInteriorPoint_interior, Complex.norm_dslope_le_div_of_mapsTo_ball, DifferentiableOn.const_cpow, VectorFourier.fourierIntegral_continuousLinearMap_apply, Real.not_continuousAt_deriv_mul_log_zero, Complex.analyticOn_sinh, HasStrictFDerivAt.arsinh, OpenPartialHomeomorph.contDiff_univUnitBall, HasFDerivWithinAt.exp, SchwartzMap.fourier_lineDerivOp_eq, hasStrictDerivAt_exp_smul_const, MeasureTheory.iteratedFDeriv_charFun, fderivWithin_sin, StrictConcaveOn.slope_lt_deriv, differentiable_euclidean, Monotone.ae_differentiableAt, ConvexOn.slope_le_deriv, Differentiable.abs, mfderivWithin_comp_projIcc_one, UpperHalfPlane.mdifferentiable_inv_denom, IsMIntegralCurveOn.hasDerivWithinAt, DifferentiableOn.rpow, HasStrictDerivAt.csin, DifferentiableOn.cpow, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', Complex.hasStrictFDerivAt_cpow', InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, Real.fourier_iteratedFDeriv, Differentiable.ccos, SmoothPartitionOfUnity.sum_finsupport', SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, analyticOnNhd_rexp, TestFunction.contDiff, DifferentiableAt.rpow_const, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_neg, Real.differentiableAt_rpow_const_of_ne, Manifold.pathELength_def, DifferentiableOn.csinh, ContDiff.cos, IccLeftChart_extend_interior_pos, HurwitzZeta.differentiable_expZeta_of_ne_zero, Real.hasDerivAt_arsinh, taylor_integral_remainder_of_absolutelyContinuous, SchwartzMap.differentiable, DifferentiableAt.const_cpow, HasDerivWithinAt.cos, Differentiable.sinh, HasFDerivAt.curveIntegral_segment_source, hasDerivWithinAt_Iic_of_tendsto_deriv, mellin_hasDerivAt_of_isBigO_rpow, HurwitzZeta.differentiable_hurwitzZetaOdd, fderiv.log, HasStrictDerivAt.arctan, 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, exists_contMDiffSection_forall_mem_convex_of_local, LSeries_analyticOnNhd, HasStrictDerivAt.real_of_complex, Real.deriv_rpow_const, instIsContinuousRiemannianBundleTrivial, DifferentiableWithinAt.dist, hasDerivWithinAt_abs, contDiff_circleMap, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, HasDerivWithinAt.csinh, Convex.exists_forall_hasFDerivAt_of_fderiv_symmetric, BoundedVariationOn.intervalIntegrable_deriv, AnalyticWithinAt.cexp, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, VectorFourier.hasFDerivAt_fourierIntegral, Complex.deriv_Gamma_add_one, ContDiffAt.sinh, AnalyticOnNhd.cpow, Real.deriv_sinh, exists_ratio_deriv_eq_ratio_slope, MeasureTheory.convolution_precompR_apply, Complex.differentiableOn_update_limUnder_of_isLittleO, ContinuousLinearMap.instCStarRingId, ContMDiff.piecewise_Iic, VectorFourier.fourierIntegral_iteratedFDeriv, UpperHalfPlane.contMDiff_coe, InformationTheory.hasDerivAt_klFun, CuspForm.holo', contMDiff_coe_sphere, InnerProductSpace.nnnorm_rankOne, Complex.analyticAt_sin, Differentiable.hasFPowerSeriesOnBall, StrictConvexOn.slope_lt_deriv, 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, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, Complex.differentiableOn_update_limUnder_of_bddAbove, Bundle.ContinuousRiemannianMetric.continuous, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, hasGradientWithinAt_iff_hasFDerivWithinAt, ContDiff.log, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, DifferentiableOn.contDiffOn, DifferentiableAt.fderiv_norm_self, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, SmoothBumpCovering.toSmoothPartitionOfUnity_apply, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, Function.hasTemperateGrowth_iff_isBigO, ContinuousLinearMap.norm_eq_iSup_rayleighQuotient, AnalyticAt.log, MeasureTheory.contDiffOn_convolution_right_with_param, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', DirichletCharacter.differentiableAt_LFunction, IsLocalExtr.fderiv_eq_zero, SmoothPartitionOfUnity.contDiffAt_finsum, intervalIntegral.integral_hasDerivWithinAt_left, Real.differentiableOn_rpow_const, MeasureTheory.contDiffOn_convolution_left_with_param_comp, Real.smoothTransition.contDiffAt, taylor_mean_remainder_lagrange_iteratedDeriv, DifferentiableWithinAt.const_cpow, 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, Real.fourierIntegral_continuousLinearMap_apply, LSeries_deriv, HasDerivWithinAt.const_cpow, HasFDerivWithinAt.abs_of_neg, Submodule.adjoint_subtypeL, hasStrictFDerivAt_exp, AnalyticAt.clog, ProbabilityTheory.differentiableAt_mgf, UpperHalfPlane.contMDiff_inv_denom, ContDiffOn.rpow_const_of_ne, analyticOn_log, BumpCovering.contMDiff_toPartitionOfUnity, InnerProductSpace.trace_rankOne, analyticOnNhd_log, Real.differentiable_cos, IsMIntegralCurveOn.comp_mul, ProbabilityTheory.iteratedDeriv_mgf, norm_cauchyPowerSeries_le, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, Real.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, hasFDerivAt_norm_rpow, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ODE.contDiffOn_nat_picard_Icc, norm_sub_le_mul_volume_of_norm_deriv_le_of_le, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, Metric.exists_smooth_forall_closedBall_subset, SmoothBumpFunction.support_eq_inter_preimage, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, ContDiffBump.convolution_tendsto_right, ContDiffAt.contDiffAt_norm_smul, AnalyticAt.rexp', hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, WeakDual.CharacterSpace.homeoEval_naturality, StrictMonoOn.exists_slope_lt_deriv_aux, ProbabilityTheory.iteratedDeriv_complexMGF, ContDiffAt.inversion, contDiffOn_stereoToFun, Complex.contDiffAt_log, Real.hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, DifferentiableOn.ccos, HasDerivAt.log, Real.analyticAt_sin, DifferentiableAt.ccosh, hasStrictFDerivAt_exp_smul_const', analyticOnNhd_sigmoid, MeasureTheory.convolution_assoc, Differentiable.sin, Real.deriv_Gamma_nat, ContDiffOn.csin, Complex.hasStrictFDerivAt_cpow, InnerProductSpace.adjoint_rankOne, Real.LogDeriv_exp, ContDiff.norm_rpow, InnerProductSpace.rankOne_eq_zero, HasDerivAt.csinh, Complex.differentiable_iteratedDeriv_sin, Real.analyticOnNhd_cosh, Complex.hasStrictDerivAt_sinh, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, HasStrictDerivAt.clog_real, hasDerivAt_of_hasDerivAt_of_ne', intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, InnerProductSpace.inner_right_rankOne_apply, ValueDistribution.characteristic_sub_characteristic_inv_of_ne_zero, HasFDerivWithinAt.hasGradientWithinAt, HasDerivWithinAt.sqrt, Real.hasDerivAt_qaryEntropy, ProbabilityTheory.analyticOnNhd_cgf, SmoothBumpFunction.tsupport_subset_symm_image_closedBall, HasFDerivWithinAt.cpow, SmoothPartitionOfUnity.le_one, Monotone.ae_hasDerivAt, HasStrictFDerivAt.const_cpow, LinearMap.IsSymmetric.coe_toSelfAdjoint, HasFDerivWithinAt.csinh, DiffContOnCl.deriv_eq_smul_circleIntegral, DifferentiableOn.deriv_eq_smul_circleIntegral, ContDiffMapSupportedIn.uniformSpace_eq_iInf, DifferentiableAt.log, HasFDerivAt.abs_of_pos, Set.OrdConnected.image_derivWithin, Continuous.exists_contMDiff_approx, HasFDerivAt.abs, 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, HasStrictFDerivAt.abs_of_neg, Real.one_div_one_sub_hasFPowerSeriesOnBall_zero, HasFDerivWithinAt.abs, ContDiffBump.normed_convolution_eq_right, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, Complex.iteratedDeriv_odd_sin, Real.differentiableAt_log, HasDerivWithinAt.inner, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, DifferentiableAt.inner, Complex.derivWithin_sqrt, HarmonicAt.differentiableAt_complex_partial, Real.differentiable_fourierIntegral, ProbabilityTheory.exists_cgf_eq_iteratedDeriv_two_cgf_mul, tendsto_logDeriv_euler_sin_div, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, EisensteinSeries.div_linear_zpow_differentiableOn, ZMod.differentiable_completedLFunction, Real.fourierIntegral_iteratedDeriv, ContDiff.sin, MeasureTheory.hasFDerivAt_convolution_right_with_param, deriv_neg_left_of_sign_deriv, 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, HasCompactSupport.hasFDerivAt_convolution_right, 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, HasStrictDerivAt.exp, contDiff_bernoulliFun, ContDiffAt.rpow, HasFDerivWithinAt.inner, EuclideanSpace.instIsManifoldSphere, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, ContDiffWithinAt.arctan, InnerProductSpace.toDualMap_apply, DifferentiableWithinAt.abs, UpperHalfPlane.hasStrictDerivAt_smul, HasDerivAt.cosh, Complex.logDeriv_sin, Real.differentiable_exp, ContinuousLinearMap.adjoint_inner_left, fderivWithin_cos, ProbabilityTheory.differentiableOn_mgf, contDiffOn_abs, deriv_ccosh, ProbabilityTheory.analyticAt_complexMGF, AnalyticOn.clog, Real.hasStrictDerivAt_arcosh, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, Real.differentiableAt_cos, HasDerivAt.ccosh, SmoothBumpFunction.contMDiffAt, ContDiffAt.hasStrictFDerivAt', fderivWithin_ccos, Complex.deriv_Gamma_nat, Real.deriv_log', PeriodPair.weierstrassPExcept_eq_tsum, HasStrictFDerivAt.clog, Orthonormal.isHilbertSum, Real.one_div_sub_hasFPowerSeriesOnBall_zero, ContDiff.euclidean_dist, DifferentiableOn.log, Complex.logDeriv_exp, StrictMonoOn.exists_deriv_lt_slope_aux, HasStrictFDerivAt.sqrt, HasDerivWithinAt.complexToReal_fderiv, Complex.IsExactOn.differentiableOn, IsContMDiffRiemannianBundle.exists_contMDiff, ContDiffOn.ccos, DiffContOnCl.circleIntegral_one_div_sub_center_pow_smul, HasDerivWithinAt.arsinh, HasStrictDerivAt.csinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, hasDerivAt_jacobiTheta₂_fst, Real.deriv2_binEntropy, InnerProductSpace.rank_rankOne, AnalyticOnNhd.clog, ArithmeticFunction.LSeries_vonMangoldt_eq_deriv_riemannZeta_div, SmoothBumpCovering.sum_toSmoothPartitionOfUnity_eq, HasDerivAt.exp, SmoothBumpFunction.updateRIn_rOut, IsExtrOn.lineDeriv_eq_zero, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, ContDiffOn.inversion, DifferentiableAt.sqrt, HasStrictFDerivAt.rpow, 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, HasDerivAt.csin, differentiable_inner, Real.analyticOn_arcosh, PeriodPair.meromorphic_derivWeierstrassP, Real.hasDerivAt_tan, hasFDerivAt_integral_of_dominated_loc_of_lip', InnerProductSpace.rankOne_def, Real.deriv_tan_sub_id, DifferentiableOn.inversion, Real.contDiffAt_log, Real.leftDeriv_mul_log, SchwartzMap.convolution_apply, ContDiffOn.abs, Real.differentiableAt_Gamma, HasDerivAt.cos, Real.pow_mul_norm_iteratedFDeriv_fourier_le, Real.hasStrictDerivAt_cosh, ContDiffWithinAt.norm_sq, ProbabilityTheory.analyticOn_cgf, HasStrictDerivAt.cosh, HasStrictFDerivAt.ccos, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, Complex.hasDerivAt_Gammaℂ_one, ContDiffAt.cosh, Complex.analyticOnNhd_sin, gradient_eq_deriv', Complex.hasStrictDerivAt_const_cpow, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, DifferentiableWithinAt.arctan, Real.hasStrictDerivAt_log, IsMinOn.lineDerivWithin_eq_zero, Real.iteratedDeriv_add_one_cos, HasDerivWithinAt.cpow, SmoothBumpFunction.ball_subset, SchwartzMap.smulRightCLM_apply_apply, Real.differentiableOn_Gamma_Ioi, Real.differentiableOn_mul_log, ProbabilityTheory.analyticAt_cgf, MeasureTheory.setToFun_smul_left, HasDerivAt.complexToReal_fderiv', taylor_mean_remainder, ConvexOn.slope_le_leftDeriv, LinearMap.IsSymmetric.toSelfAdjoint_apply, MeasureTheory.aemeasurable_fderivWithin, fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, 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, ContDiff.norm_sq, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn, MonotoneOn.intervalIntegral_deriv_mem_uIcc, Real.deriv_qaryEntropy, contDiffPointwiseHolderAt_iff, Real.deriv_arctan, monotoneOn_deriv_descPochhammer_eval, UpperHalfPlane.contMDiff_num, HasDerivWithinAt.rpow, SmoothPartitionOfUnity.sum_eq_one', UpperHalfPlane.mdifferentiable_denom, Differentiable.arctan, ContDiffWithinAt.ccos, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, Function.locallyFinsuppWithin.toClosedBall_divisor, Complex.hasFDerivAt_cpow, HasCompactSupport.integral_Iic_deriv_eq, ContDiffAt.rpow_const_of_ne, Real.iteratedDerivWithin_sinh_Icc, Complex.differentiable_Gammaℝ_inv, differentiableAt_jacobiTheta₂_fst, Complex.iter_deriv_exp, hasDerivWithinAt_taylorWithinEval_at_Icc, SmoothPartitionOfUnity.mem_finsupport, DifferentiableWithinAt.inversion, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, Complex.differentiableAt_tan, HasFDerivAt.ccos, ModularForm.differentiableAt_eta_tprod, has_antideriv_at_fourier_neg, Real.differentiableAt_log_iff, HasDerivWithinAt.ccosh, IsOpen.exists_contMDiff_support_eq, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, HasFDerivWithinAt.log, Orientation.areaForm'_apply, contDiffAt_euclidean, HasFDerivAt.clog, 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, HasDerivAt.sinh, Real.contDiff_fourierIntegral, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, MeasureTheory.dist_convolution_le, intervalIntegral.integral_hasStrictFDerivAt, Real.contDiffAt_arcsin_iff, Complex.hasDerivAt_cos, ContDiffAt.arctan, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, InnerProductSpace.enorm_rankOne, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, Convex.exists_forall_hasDerivWithinAt, ModularForm.logDeriv_one_sub_mul_cexp_comp, hasDerivWithinAt_taylor_coeff_within, SchwartzMap.fourierMultiplierCLM_apply, Complex.two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable, analyticAt_sigmoid, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, ValueDistribution.characteristic_sub_characteristic_inv_le, contDiffAt_norm, derivWithin_cos, Submodule.starProjection_norm_le, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, ContDiffOn.log, Real.fourier_fderiv, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, OpenPartialHomeomorph.contDiffOn_univUnitBall_symm, ContDiffMapSupportedIn.seminorm_top_le_iff, eqOn_iteratedDeriv_cotTerm, ConvexOn.monotoneOn_deriv, HasFDerivWithinAt.norm_sq, ordinaryHypergeometric_radius_top_of_neg_nat₂, MeasureTheory.norm_weightedSMul_le, TendstoLocallyUniformlyOn.deriv, differentiableAt_abs_neg, SmoothBumpFunction.updateRIn_rIn, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, hasDerivAt_fourier_neg, ContDiffWithinAt.sinh, derivWithin_const_rpow, norm_fderiv_norm_rpow_le, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, ContinuousLinearMap.rayleighQuotient_le_of_norm_mem_resolventSet, HasCompactSupport.enorm_le_lintegral_Ici_deriv, hasStrictDerivAt_abs, Orthonormal.linearIsometryEquiv_symm_apply_single_one, Real.iteratedDerivWithin_sin_Icc, SchwartzMap.fourierInv_lineDerivOp_eq, Real.iteratedDeriv_odd_sinh, Complex.hasStrictDerivAt_log, ContDiffWithinAt.dist, sum_mul_eq_sub_integral_mul₀', deriv_rpow_const, derivWithin_ccosh, Real.hasDerivAt_cos, Differentiable.sigmoid, AnalyticOnNhd.cexp, HasFDerivAt.ccosh, Submodule.norm_starProjection, analyticOnNhd_cexp, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, hasDerivAt_exp_smul_const, HasDerivAt.clog, MDifferentiable.slash, ContDiff.rpow, InnerProductSpace.HarmonicOnNhd.contDiffOn, exists_dual_vector, HasFDerivAt.abs_of_neg, DifferentiableOn.norm_sq, ContinuousLinearMap.rayleighQuotient_le_norm, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, ProbabilityTheory.hasDerivAt_complexMGF, Differentiable.norm_rpow, LinearMap.isPositive_toContinuousLinearMap_iff, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, Real.differentiableWithinAt_arcsin_Ici, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, ContDiff.exp, ModularFormClass.qExpansion_coeff, derivWithin_exp, Real.hasDerivWithinAt_arcsin_Ici, HasStrictFDerivAt.arctan, inr_comp_cfcₙHom_eq_cfcₙAux, hasDerivAt_taylorWithinEval_succ, IsMIntegralCurveAt.hasMFDerivAt, Differentiable.cpow, exists_contMDiffOn_forall_mem_convex_of_local, deriv_neg_right_of_sign_deriv, 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, derivWithin_rpow_const, ProbabilityTheory.hasFPowerSeriesAt_mgf, DifferentiableOn.sinh, MeasureTheory.convolution_mono_right_of_nonneg, ContinuousLinearMap.isometry_iff_adjoint_comp_self, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, ContDiff.inner, HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven, HasGradientAt.differentiableAt, ContDiffAt.hasStrictFDerivAt, Conformal.differentiable, Real.differentiableAt_cosh, DifferentiableOn.abs, taylorWithinEval_succ, HasDerivAt.norm_sq, IsSelfAdjoint.conj_adjoint, conformalAt_iff_isConformalMap_fderiv, complexOfReal_deriv, exists_msmooth_support_eq_eq_one_iff, deriv_csin, Polynomial.hermite_eq_deriv_gaussian', le_radius_cauchyPowerSeries, fderiv_exp, ContDiffAt.log, Differentiable.log, intervalIntegral.derivWithin_integral_right, Real.analyticOnNhd_arsinh, fderiv_arctan, Real.analyticAt_arcosh, ContDiffAt.real_of_complex, hasStrictFDerivAt_norm_sq, SmoothPartitionOfUnity.coe_finsupport, SchwartzMap.fourier_evalCLM_eq, Emetric.exists_contMDiffMap_forall_closedBall_subset, SchwartzMap.contDiffAt, ContDiffOn.sin, Real.deriv_exp, Real.contDiff_sin, SchwartzMap.hasFDerivAt, DifferentiableWithinAt.csin, deriv_sinh, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, SchwartzMap.evalCLM_apply_apply, StrictConcaveOn.derivWithin_lt_slope, HasStrictDerivAt.log, MDifferentiableOn.inner_bundle, SingularManifold.boundaryless, DifferentiableAt.cosh, Complex.analyticOn_iff_differentiableOn, StrictConvexOn.slope_lt_derivWithin, Real.hasDerivAt_rpow_const, IsMinOn.lineDeriv_eq_zero, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, ContinuousLinearMap.ker_self_comp_adjoint, differentiableAt_norm_smul, fderivWithin.log, Real.iter_deriv_exp, hasDerivAt_integral_of_dominated_loc_of_deriv_le, HasFDerivWithinAt.sinh, Metric.exists_contMDiffMap_forall_closedBall_subset, Real.differentiable_iteratedDeriv_cos, Differentiable.norm_sq, exists_dual_vector'', exists_msmooth_zero_iff_one_iff_of_isClosed, ContDiffAt.contDiffAt_implicitFunction, ContDiff.ccosh, Complex.differentiable_sin, TestFunction.lineDerivCLM_eq_fderivCLM, binomialSeries_radius_eq_top_of_nat, isTheta_deriv_rpow_const_atTop, IccLeftChart_extend_bot, conformalFactorAt_inner_eq_mul_inner', ModularForm.logDeriv_eta_eq_E2, HasFDerivAt.log, ContDiffAt.ccosh, HasDerivWithinAt.arctan, DifferentiableWithinAt.cpow_const, Matrix.l2_opNNNorm_def, SmoothPartitionOfUnity.finsum_smul_mem_convex, PeriodPair.order_weierstrassP, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, hasDerivAt_exp, Complex.analyticOn_cos, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, DifferentiableOn.cos, MeromorphicNFOn.Gamma, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, DirichletCharacter.differentiable_LFunction, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, Real.tendsto_rightDeriv_mul_log_atTop, Real.hasStrictDerivAt_arsinh, Real.fourier_iteratedDeriv, HarmonicAt.analyticAt, SmoothPartitionOfUnity.sum_le_one', ValueDistribution.characteristic_sub_characteristic_inv, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, AnalyticWithinAt.re_ofReal, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, Real.contDiff_cos, ContinuousLinearMap.isSelfAdjoint_iff', HasDerivWithinAt.clog, exists_closed_cover_approximatesLinearOn_of_hasFDerivWithinAt, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, instIsRiemannianManifoldModelWithCornersSelfReal, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, SmoothBumpFunction.isClosed_image_of_isClosed, ContMDiffOn.inner_bundle, SmoothPartitionOfUnity.sum_nonneg, MeasureTheory.L1.nnnorm_Integral_le_one, HasFDerivAt.exp, Manifold.riemannianEDist_def, hasDerivAt_circleMap, hasFDerivWithinAt_closure_of_tendsto_fderiv, Real.one_div_one_sub_rpow_hasFPowerSeriesOnBall_zero, Complex.norm_iteratedDeriv_le_of_forall_mem_sphere_norm_le, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, AnalyticAt.sigmoid, Real.iteratedDeriv_even_cos, HasStrictDerivAt.cpow_const, curveIntegralFun_def', modelWithCornersEuclideanHalfSpace_zero, ContinuousLinearMap.norm_extendTo𝕜'_bound, Complex.iteratedDeriv_add_one_sinh, SmoothBumpFunction.isClosed_symm_image_closedBall, Real.differentiableAt_arctan, ContinuousMultilinearMap.integral_apply, Complex.hasDerivAt_sqrt, ContDiffWithinAt.rpow, HasGradientWithinAt.fderivWithin_apply, differentiableWithinAt_abs_neg, sum_mul_eq_sub_integral_mul₁, ContDiffAt.norm_sq, ProbabilityTheory.iteratedDeriv_mgf_zero, Real.differentiableOn_negMulLog, Complex.iteratedDeriv_even_cos, ModularForm.differentiableAt_eta_of_mem_upperHalfPlaneSet, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, HasDerivAt.arsinh, hasDerivAt_fourier, complexOfReal_fderivWithin, OpenPartialHomeomorph.contDiff_univBall, Complex.iteratedDeriv_add_one_sin, fderiv_ccos, MeasureTheory.contDiffOn_convolution_right_with_param_comp, StrongDual.extendRCLikeₗᵢ_symm_apply, Real.rightDeriv_mul_log, Real.fourier_bilin_convolution_eq, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, ContDiffWithinAt.ccosh, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ModularFormClass.differentiableAt_cuspFunction, ModularForm.logDeriv_one_sub_cexp, InnerProductSpace.rankOne_def', Complex.HadamardThreeLines.diffContOnCl_interpStrip, hasStrictDerivAt_abs_neg, MDifferentiableWithinAt.inner_bundle, intervalIntegral.deriv_integral_of_tendsto_ae_right, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DifferentiableWithinAt.abs_of_neg, DifferentiableWithinAt.cosh, DoubleCentralizer.instCStarRing, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, HasFDerivAt.inner, HasDerivAt.rpow, Complex.hasSum_taylorSeries_on_emetric_ball, hasFPowerSeriesOn_cauchy_integral, fderivWithin_exp, UpperHalfPlane.contMDiff_denom_zpow, DifferentiableWithinAt.csinh, SmoothBumpCovering.exists_finset_toSmoothPartitionOfUnity_eventuallyEq, contDiffOn_tsum_cexp, deriv_circleMap, Real.analyticWithinAt_cos, ProbabilityTheory.deriv_mgf, ExistsContDiffBumpBase.u_smooth, DifferentiableOn.hasFPowerSeriesOnBall, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', Real.contDiff_fourier, MeasureTheory.convolution_assoc', 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, HasStrictDerivAt.complexToReal_fderiv', StrictConcaveOn.strictAntiOn_deriv, contMDiffWithinAt_comp_projIcc_iff, hasFDerivAt_polarCoord_symm, ConcaveOn.slope_le_derivWithin, AnalyticWithinAt.im_ofReal, HasFDerivWithinAt.rpow_const, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, ODE.contDiffOn_comp, HasDerivWithinAt.csin, Differentiable.contDiff, 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, ContDiff.fourierPowSMulRight, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, derivWithin_sin, HasFDerivAt.sinh, eventually_norm_symmL_trivializationAt_comp_self_lt, Real.eulerMascheroniConstant_eq_neg_deriv, deriv_const_rpow, Real.not_differentiableAt_inv_log_zero, ContDiffAt.rpow_const_of_le, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, 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, Convex.image_derivWithin, OpenPartialHomeomorph.contDiff_unitBallBall, HasFDerivAt.complexOfReal_hasFDerivAt, PeriodPair.coeff_weierstrassPSeries, exists_contMDiff_zero_iff_one_iff_of_isClosed, ContDiff.rpow_const_of_le, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, Complex.deriv_cosh, IsMaxOn.lineDerivWithin_eq_zero, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, SmoothBumpFunction.contMDiff_smul, locallyFinsuppWithin.logCounting_divisor, ContDiffOn.arctan, intervalIntegral.derivWithin_integral_of_tendsto_ae_right, Real.differentiableAt_tan, Real.differentiable_cosh, MeasureTheory.iteratedDeriv_charFun, DifferentiableAt.rpow, VectorFourier.contDiff_fourierIntegral, ContinuousLinearMap.adjoint_comp_self_injective_iff, ConcaveOn.leftDeriv_le_slope, ProbabilityTheory.variance_dual_stdGaussian, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, HasDerivWithinAt.sinh, ContDiffAt.hasStrictFDerivAt_implicitFunction, Complex.hasStrictDerivAt_sin, ContDiffBump.contDiff_normed, derivWithin_ccos, ConcaveOn.derivWithin_le_slope, ImplicitFunctionData.contDiffAt_implicitFunction, Complex.contDiffAt_tan, Complex.analyticWithinAt_sinh, Diffeology.isPlot_iff_contDiff, Complex.analyticOnNhd_cosh, ODE.contDiffOn_enat_picard_Icc, ContDiff.rpow_const_of_ne, HasFDerivAt.rpow_const, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', contDiffAt_inner, norm_fderiv_norm, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, eventually_enorm_mfderiv_extChartAt_lt, StrongDual.extendRCLikeₗᵢ_apply, enorm_tangentSpace_vectorSpace, HasDerivAt.ofReal_comp, hasFDerivAt_exp_smul_const, Differentiable.inner, DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, hasFDerivAt_jacobiTheta₂, Real.hasDerivAt_log, oneTangentSpaceIcc_def, HasStrictFDerivAt.const_rpow, Complex.differentiable_on_off_countable_deriv_eq_smul_circleIntegral, IccRightChart_extend_top_mem_frontier, ConcaveOn.deriv_le_slope, ContinuousLinearMap.self_comp_adjoint_injective_iff, AnalyticWithinAt.rexp, ContDiffWithinAt.csin, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, hasFDerivWithinAt_euclidean, InnerProductSpace.laplacianWithin_eq_iteratedDerivWithin_real, HasCompactSupport.contDiff_convolution_left, HasFDerivWithinAt.abs_of_pos, DifferentiableWithinAt.ccosh, Module.Basis.parallelepiped_eq_map, Complex.deriv_tan, SmoothPartitionOfUnity.sum_eq_one, ODE.contDiffOn_enat_Icc_of_hasDerivWithinAt, DifferentiableAt.differentiableAt_norm_of_smul, SchwartzMap.hasDerivAt, ContinuousLinearMap.instNonnegSpectrumClassRealId, HasStrictFDerivAt.cos, ContDiffWithinAt.cos, exists_smooth_section_forall_mem_convex_of_local, Complex.hasDerivAt_cosh, Unitization.nnreal_cfcₙ_eq_cfc_inr, Complex.deriv_const_cpow, RCLike.ofRealCLM_norm, deriv_cos, DifferentiableAt.arsinh, HurwitzZeta.differentiableAt_hurwitzZeta, ContDiffBump.contDiffAt, ContDiffAt.ccos, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_pos, HasFDerivWithinAt.arsinh, InnerProductSpace.rankOne_comp_rankOne, MeromorphicOn.circleAverage_log_norm, Real.hasStrictDerivAt_arctan, Complex.contDiff_sinh, DirichletCharacter.deriv_LFunctionTrivChar₁_apply_of_ne_one, StrictConcaveOn.strictAntiOn_derivWithin, ContDiffOn.norm_sq, TestFunction.fderivCLM_eq_of_scalars, 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, Convex.exists_forall_hasFDerivWithinAt_of_fderivWithin_symmetric, Complex.differentiableAt_sqrt, exists_dual_vector', intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, Real.analyticOn_sin, Real.hasDerivAt_mulExpNegMulSq, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, eventually_norm_symmL_trivializationAt_lt, differentiableAt_euclidean, PeriodPair.hasFPowerSeriesOnBall_weierstrassP, ContDiffWithinAt.abs, Function.locallyFinsuppWithin.logCounting_divisor_eq_circleAverage_sub_const, InnerProductSpace.isSymmetric_rankOne_self, Real.differentiableOn_arccos, IsLocalMin.deriv_eq_zero, HurwitzZeta.differentiableAt_update_of_residue, harmonic_is_realOfHolomorphic, Real.hasDerivAt_cosh, Real.tendsto_deriv_mul_log_atTop, HasFDerivAt.sin, LipschitzOnWith.ae_differentiableWithinAt_real, ModularForm.summable_logDeriv_one_sub_eta_q, CStarRing.instRegularNormedAlgebra, SmoothBumpCovering.mem_extChartAt_ind_source, PeriodPair.weierstrassPSeries_hasSum, IsIntegralCurveAt.hasDerivAt, HasFDerivAt.csin, derivWithin_csin, Complex.hasDerivAt_sin, SchwartzMap.tsupport_fderivCLM_subset, Continuous.exists_contMDiff_approx_and_eqOn, ContDiffAt.contDiffAt_norm_of_smul, analyticOn_cexp, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Complex.taylorSeries_eq_on_eball, Real.hasDerivAt_fourierChar, ContinuousLinearMap.intervalIntegral_apply, WStarAlgebra.exists_predual, analyticWithinAt_sigmoid, analyticOn_sigmoid, LSeries.iteratedDeriv_alternating, Complex.conjCLE_enorm, AnalyticAt.cpow, Real.differentiableWithinAt_arccos_Iic, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, PeriodPair.deriv_derivWeierstrassPExcept_self, UpperHalfPlane.meromorphicOrderAt_comp_smul, Differentiable.csinh, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, exists_contMDiffMap_forall_mem_convex_of_local, Complex.hasStrictDerivAt_exp, Real.iteratedDerivWithin_sinh_Ioo, expNegInvGlue.contDiff, ODE.hasDerivWithinAt_picard_Icc, Real.iteratedFDeriv_fourier, HasStrictDerivAt.const_cpow, differentiableOn_euclidean, nnnorm_fderiv_norm_rpow_le, Real.hasFPowerSeriesOnBall_linear_zero, differentiableAt_abs_pos, Differentiable.exp, ContinuousLinearMap.adjoint_toSpanSingleton, ContDiff.inversion, Complex.hasStrictDerivAt_cosh, ContDiffMapSupportedIn.structureMapCLM_top_apply, Real.contDiffOn_arccos, DifferentiableWithinAt.cpow, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, deriv_ccos, Real.hasDerivAt_Gamma_one_half, HasStrictDerivAt.arsinh, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, isMIntegralCurveAt_comp_mul_ne_zero, HasFDerivAt.hasFDerivAt_norm_smul, 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, ConvexOn.derivWithin_le_slope, HasFDerivWithinAt.sqrt, Real.iteratedDeriv_even_sinh, ContDiffMapSupportedIn.structureMapLM_top_apply, ContinuousLinearMap.ker_adjoint_comp_self, 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, fderivWithin_sqrt, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, Complex.LogDeriv_exp, Real.not_DifferentiableAt_log_mul_zero, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, HasDerivWithinAt.ccos, InnerProductSpace.toContinuousLinearMap_toDualMap, Real.contDiff_sinh, Complex.differentiable_one_div_Gamma, fderiv_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, HasFDerivWithinAt.const_cpow, SummableLocallyUniformlyOn.differentiableOn, Complex.not_differentiableAt_Gamma_zero, ContDiffAt.norm, 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, ContDiffWithinAt.exp, PeriodPair.analyticOnNhd_derivWeierstrassP, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, Real.not_differentiableAt_rpow_const_zero, hasStrictFDerivAt_exp_zero, Differentiable.dist, EulerSine.antideriv_cos_comp_const_mul, curveIntegral_eq_intervalIntegral_deriv, Differentiable.sqrt, RightDerivMeasurableAux.differentiable_set_eq_D, taylor_integral_remainder_aux, HasFDerivWithinAt.arctan, hasFPowerSeriesOnBall_cuspFunction, Real.contDiff_arctan, ContDiffAt.dist, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.iteratedDeriv_two_cgf, DifferentiableWithinAt.rpow_const, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, measurableSet_of_differentiableWithinAt_Ioi, HasFDerivWithinAt.rpow, 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, fderivWithin_csin, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, Function.Periodic.eventually_differentiableAt_cuspFunction_nhds_ne_zero, Real.deriv_sigmoid, exists_ratio_deriv_eq_ratio_slope', ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, PeriodPair.meromorphic_weierstrassP, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, TemperedDistribution.fourierMultiplierCLM_apply_apply, intervalIntegral.fderivWithin_integral_of_tendsto_ae, one_add_rpow_hasFPowerSeriesAt_zero, Complex.analyticOnNhd_canonicalFactor, Real.iteratedDeriv_even_sin, exists_smooth_zero_one_of_isClosed, Complex.norm_deriv_le_one_of_mapsTo_ball, ContMDiff.inner_bundle, EulerSine.antideriv_sin_comp_const_mul, DifferentiableOn.arctan, PeriodPair.analyticAt_derivWeierstrassPExcept, Real.analyticOnNhd_cos, Complex.differentiableAt_cosh, analyticAt_log, Diffeology.IsPlot.contDiff, ContDiffOn.exp, NormedSpace.sInter_polar_eq_closedBall, Complex.differentiableAt_Gamma_nat_add_one, ContDiffBump.convolution_eq_right, measurable_derivWithin_Ioi, ProbabilityTheory.deriv_cgf, Derivative.normalizedDerivOfComplex_mdifferentiable, Complex.deriv_cos', DifferentiableOn.cosh, contDiff_stereoInvFunAux, expNegInvGlue.contDiff_polynomial_eval_inv_mul, intervalIntegral.integral_hasFDerivWithinAt, DifferentiableAt.cpow_const, SmoothBumpCovering.embeddingPiTangent_injective, ContinuousLinearMap.orthogonal_range, exists_contMDiffOn_section_forall_mem_convex_of_local, instIsContMDiffRiemannianBundleTrivial, Complex.meromorphicNFOn_canonicalFactor, ContDiff.dist, HasDerivWithinAt.rpow_const, exists_contMDiff_support_eq_eq_one_iff, HasFDerivAt.cos, DifferentiableWithinAt.arsinh, MeasureTheory.L1.norm_setToL1_le', TestFunction.fderivCLM_apply_of_gt, hasDerivAt_gronwallBound, ContinuousLinearMap.spectralRadius_eq_nnnorm, Complex.taylorSeries_eq_on_emetric_ball, EuclideanGeometry.hasFDerivAt_inversion, isBigO_deriv_ofReal_cpow_const_atTop, ContDiffWithinAt.rpow_const_of_ne, Complex.derivWithin_const_cpow, stronglyMeasurable_derivWithin_Ici, exists_deriv_eq_slope', hasDerivAt_ofReal_cpow_const, hasDerivAt_norm_rpow, Real.differentiableAt_tan_of_mem_Ioo, Real.not_continuousAt_deriv_qaryEntropy_zero, ContMDiffAt.inner_bundle, SmoothPartitionOfUnity.sum_finsupport_smul_eq_finsum, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, Real.contDiff_cosh, DifferentiableWithinAt.clog, MeasureTheory.contDiff_charFun, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, ProbabilityTheory.covarianceBilin_map, differentiableAt_jacobiTheta₂_snd, AnalyticWithinAt.sigmoid, Real.analyticAt_arsinh, AnalyticOnNhd.sum_divisor_le, TendstoLocallyUniformlyOn.differentiableOn, HasFDerivAt.curveIntegral_segment_source', Differentiable.inversion, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, HasFDerivAt.const_rpow, one_add_cpow_hasFPowerSeriesOnBall_zero, SchwartzMap.fderivCLM_fourier_eq, Complex.norm_deriv_le_div_of_mapsTo_ball, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, SchwartzMap.derivCLM_apply, Convex.image_deriv, Real.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, Real.deriv_cos, iteratedDeriv_exp_const_mul, SmoothPartitionOfUnity.contMDiff_finsum_smul, ContDiffWithinAt.rpow_const_of_le, Real.differentiableAt_binEntropy, Complex.hasStrictDerivAt_cpow_const, ContDiffBump.dist_normed_convolution_le, mellin_differentiableAt_of_isBigO_rpow_exp, SmoothPartitionOfUnity.sum_finsupport, Real.hasDerivAt_arctan', inner_gradientWithin_left, ContinuousLinearMap.adjoint_comp, deriv_bernoulliFun, intervalIntegral.integral_hasDerivAt_right, HasCompactSupport.hasDerivAt_convolution_left, 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, Complex.taylorSeries_eq_on_ball, IsOpen.exists_contDiff_support_eq, LSeries_analyticOn, Complex.iteratedDeriv_odd_cos, ContDiffMapSupportedIn.fderivLM_apply, Real.contDiff_rpow_const_of_le, exists_smooth_forall_mem_convex_of_local_const, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, Real.contDiffOn_arcosh, HasFDerivAt.arsinh, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.L1.setToL1_add_left, ProbabilityTheory.analyticOnNhd_mgf, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, DifferentiableAt.abs, ContDiffPointwiseHolderAt.contDiffAt, LinearMap.isStarProjection_toContinuousLinearMap_iff, Manifold.pathELength_eq_lintegral_mfderiv_Icc, DifferentiableAt.cos, fderiv_ccosh, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.cpow, HurwitzZeta.differentiable_cosZeta_of_ne_zero, ContDiffPointwiseHolderAt.fderiv, hasFDerivAt_pi_polarCoord_symm, ContDiffWithinAt.inner, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, Real.analyticAt_cosh, Submodule.adjoint_orthogonalProjection, norm_tangentSpace_vectorSpace, Complex.deriv_cpow_const, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, DifferentiableWithinAt.norm_sq, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', Real.contDiffAt_rpow_const_of_ne, Continuous.exists_contDiff_approx, ConvexOn.deriv_le_slope, isMIntegralCurveOn_comp_mul_ne_zero, ProbabilityTheory.iteratedDeriv_two_cgf_eq_integral, ConvexOn.rightDeriv_le_slope, logDeriv_prod_sineTerm_eq_sum_cotTerm, Complex.differentiableAt_Gamma_one, ContDiffMapSupportedIn.continuous_iff_comp_order_le, Real.differentiable_fourierChar, hasFDerivAt_integral_of_dominated_of_fderiv_le, ContDiff.hasStrictDerivAt, Real.logDeriv_sin, ContDiff.abs, OrthonormalBasis.norm_dual, mdifferentiable_jacobiTheta, DifferentiableOn.sin, IsContDiffImplicitAt.contDiffAt_implicitFunction, Real.deriv_cos', SmoothBumpCovering.support_toSmoothPartitionOfUnity_subset, isBigO_deriv_rpow_const_atTop, SchwartzMap.decay, Continuous.deriv_integral, DifferentiableOn.dist, Real.deriv_rpow_const', DifferentiableOn.ccosh, SchwartzMap.convolution_flip, Orthonormal.orthogonalFamily, Real.differentiableAt_arcosh, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, PeriodPair.hasFPowerSeriesOnBall_weierstrassPExcept, Convex.exists_forall_hasFDerivWithinAt_of_hasFDerivWithinAt_symmetric, SchwartzMap.lineDerivOp_apply_eq_fderiv, SingularManifold.instIsManifoldRealM, ContinuousLinearMap.abs_rayleighQuotient_le_of_norm_mem_resolventSet, Real.hasStrictDerivAt_sqrt, Complex.hasDerivAt_Gamma_one, DifferentiableOn.rpow_const, 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.circleIntegral_one_div_sub_center_pow_smul_of_differentiable_on_off_countable, AnalyticAt.re_ofReal, Complex.iteratedDeriv_even_sin, UpperHalfPlane.contMDiffAt_ofComplex, HasFDerivAt.hasFDerivAt_norm_smul_neg, Real.hasDerivAt_exp, fderiv_sqrt, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, ProperCone.hyperplane_separation_of_notMem, HasStrictDerivAt.ccosh, Unitization.complex_cfcₙ_eq_cfc_inr, ModularForm.holo', MeasureTheory.norm_condExpInd_le, SmoothPartitionOfUnity.finite_tsupport, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ProbabilityTheory.analyticOn_complexMGF, ContDiffAt.exists_eventually_eq_hasDerivAt, Real.iteratedDerivWithin_cosh_Icc, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, deriv_inner_apply, differentiable_completedZeta₀, analyticWithinAt_rexp, Complex.differentiable_sinh, ContDiff.norm, 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, DifferentiableOn.analyticOnNhd, Real.iteratedFDeriv_fourierIntegral, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, StieltjesFunction.ae_hasDerivAt, contDiffWithinAt_abs, norm_sub_le_mul_volume_of_norm_fderiv_le, Complex.differentiable_iteratedDeriv_sinh, Real.contDiffAt_arccos, Real.differentiableAt_negMulLog, UpperHalfPlane.contMDiffAt_iff, InnerProductSpace.HarmonicOnNhd.exists_analyticOnNhd_univ_re_eq, SmoothBumpFunction.tsupport_subset_extChartAt_source, UpperHalfPlane.instIsManifoldComplexModelWithCornersSelfTopWithTopENat, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, IsSelfAdjoint.adjoint_conj, Complex.taylorSeries_eq_on_eball', exists_embedding_euclidean_of_compact, Complex.norm_fderiv_le_one_of_mapsTo_ball, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, Complex.differentiableAt_sinh, HasDerivAt.inner, hasDerivAt_ofReal_cpow_const', ContDiff.sqrt, 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, ContDiffAt.csinh, Complex.differentiableAt_log, differentiableAt_completedZeta, ConvexOn.monotoneOn_derivWithin, BumpCovering.coe_toSmoothPartitionOfUnity, ValueDistribution.logCounting_zero_sub_logCounting_top_eq_circleAverage_sub_const, ContDiffWithinAt.arsinh, Complex.analyticAt_of_differentiable_on_punctured_nhds_of_continuousAt, ConcaveOn.slope_le_rightDeriv, Complex.norm_deriv_le_of_forall_mem_sphere_norm_le, ContDiffMapSupportedIn.fderivCLM_apply_of_le, ContinuousLinearMap.adjoint_inner_right, AnalyticOn.hasFPowerSeriesOnBall, Complex.iteratedDeriv_add_one_cosh, hasFDerivAt_integral_of_dominated_of_fderiv_le'', ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, MeasureTheory.L1.norm_Integral_le_one, ContDiff.csinh, PeriodPair.differentiableOn_weierstrassP, MeasureTheory.convolution_mono_right, 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', complexOfReal_fderiv, differentiable_norm_rpow, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, ConvexOn.slope_le_derivWithin, ContDiffWithinAt.inversion, ContDiffAt.sin, Real.iteratedDeriv_odd_sin, PeriodPair.weierstrassPExceptSeries_hasSum, EisensteinSeries.eisSummand_extension_differentiableOn, Complex.ofRealCLM_enorm, Complex.IsExactOn.with_val_at, ModularFormClass.analyticAt_cuspFunction_zero, Complex.HadamardThreeLines.scale_diffContOnCl, tendsto_sum_mul_atTop_nhds_one_sub_integral, Complex.deriv_sinh, Complex.HadamardThreeLines.diffContOnCl_invInterpStrip, Complex.deriv_sin, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, Unitization.norm_splitMul_snd_sq, Differentiable.clog, ContDiffMapSupportedIn.bounded_iteratedFDeriv, Real.analyticOn_sinh, derivWithin_csinh, HasFDerivAt.hasGradientAt, ordinaryHypergeometric_radius_top_of_neg_nat₁, HasStrictFDerivAt.sin, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, Real.differentiableAt_sinh, Complex.hasDerivAt_tan, Complex.hasFPowerSeriesOnBall_of_differentiable_off_countable, Real.differentiable_iteratedDeriv_sinh, Complex.analyticWithinAt_sin, HasFDerivWithinAt.const_rpow, conformalAt_iff_differentiableAt_or_differentiableAt_comp_conj, ContDiffMapSupportedIn.fderivCLM_apply, analyticAt_clog, TestFunction.fderivCLM_apply, fderivWithin_cosh, ContinuousLinearMap.isAdjointPair_inner, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, VectorFourier.norm_fourierPowSMulRight_le, deriv_pos_left_of_sign_deriv, derivWithin_Ioi_eq_Ici, SmoothPartitionOfUnity.mem_fintsupport_iff, Emetric.exists_smooth_forall_closedBall_subset, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, Real.hasFDerivAt_fourierChar_neg_bilinear_right, InnerProductSpace.harmonic_is_realOfHolomorphic_univ, Real.fourier_continuousMultilinearMap_apply, ModularFormClass.differentiableOn_cuspFunction_ball, ZMod.differentiable_completedLFunction₀, ContDiffMapSupportedIn.continuous_iff_comp, UniformContinuous.exists_contDiff_dist_le, ModularFormClass.holo, VectorFourier.norm_fourierSMulRight, Complex.differentiableOn_update_limUnder_insert_of_isLittleO, DifferentiableAt.inversion, ContinuousLinearEquiv.coord_norm', differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, InnerProductSpace.laplacian_eq_iteratedDeriv_real, taylor_mean_remainder_cauchy, DifferentiableOn.clog, ContDiff.contDiffBump, iteratedDeriv_cexp_const_mul, ContDiff.sinh, intervalIntegral.integral_hasStrictDerivAt_right, SchwartzMap.fourier_fderivCLM_eq, exists_deriv_eq_slope, hasStrictFDerivAt_exp_smul_const, ContDiffAt.abs, ContDiffAt.cos, SchwartzMap.fourier_convolution_apply, Complex.hasStrictFDerivAt_log_real, Real.analyticWithinAt_arcosh, Complex.differentiableAt_Gamma, Real.iteratedDeriv_fourierIntegral, Real.hasStrictDerivAt_tan, ContDiffAt.inner, intervalIntegral.integral_hasStrictDerivAt_left, HurwitzZeta.differentiableAt_cosZeta, ProbabilityTheory.deriv_cgf_zero, DifferentiableOn.exp, sum_mul_eq_sub_sub_integral_mul', Complex.logDeriv_cos, HasDerivWithinAt.cpow_const, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, DifferentiableAt.norm, Real.differentiable_fourierChar_neg_bilinear_left, ContDiffMapSupportedIn.fderivLM_apply_of_le, fderiv_norm_smul_pos, gelfandTransform_isometry, Real.hasDerivAt_arctan, hasDerivAt_exp_smul_const', Complex.deriv_sqrt, fderiv_csinh, mellin_differentiableAt_of_isBigO_rpow, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, ContDiffAt.to_localInverse, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, Complex.reCLM_norm, range_modelWithCornersEuclideanHalfSpace, Real.analyticWithinAt_arsinh, ContDiffWithinAt.csinh, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, IsContDiffImplicitAt.implicitFunction_def, ContDiffMapSupportedIn.fderivLM_apply_of_gt, Real.iteratedDerivWithin_cosh_Ioo, HasFDerivAt.sqrt, ContDiffPointwiseHolderAt.iteratedFDeriv, ContDiffWithinAt.contDiffBump, HasCompactSupport.exist_eLpNorm_sub_le_of_continuous, HasFDerivAt.csinh, nnnorm_tangentSpace_vectorSpace, ContDiffMapSupportedIn.structureMapCLM_zero_injective, sum_mul_eq_sub_integral_mul, HasFDerivWithinAt.curveIntegral_segment_source', deriv_sin, SchwartzMap.lineDerivOp_apply, MDifferentiableAt.inner_bundle, Real.deriv_arcsin_aux, AnalyticOnNhd.sigmoid, Complex.differentiable_cosh, IsLocalMin.fderiv_eq_zero, IsLocalMin.lineDeriv_eq_zero, contDiff_norm_rpow, exists_contDiff_tsupport_subset, Real.differentiableAt_qaryEntropy, exists_smooth_forall_mem_convex_of_local, DifferentiableAt.exp, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, Convex.hasFDerivWithinAt_curveIntegral_segment_of_hasFDerivWithinAt_symmetric, Complex.integral_boundary_rect_of_differentiableOn_real, aemeasurable_derivWithin_Ici, Complex.differentiable_iteratedDeriv_cos, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, Real.differentiable_arsinh, DifferentiableOn.analyticAt, SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, HasFDerivAt.hasFDerivAt_norm_smul_pos, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, fderiv_norm_rpow, intervalIntegral.integral_hasDerivAt_left, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, HasStrictFDerivAt.cosh, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, Complex.differentiable_cos, HasStrictDerivAt.cos, intervalIntegral.integral_deriv_eq_sub_uIoo, ContinuousLinearMap.norm_adjoint_comp_self, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, CircleIntegrable.out, AnalyticWithinAt.clog, LSeries_hasDerivAt, Real.analyticOnNhd_sinh, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, Real.hasDerivAt_fourierIntegral, UpperHalfPlane.mdifferentiableAt_iff, StrictMonoOn.exists_slope_lt_deriv, AnalyticOn.re_ofReal, PeriodPair.analyticOnNhd_weierstrassPExcept, NormedSpace.polar_closedBall, Submodule.norm_orthogonalProjection, DiffContOnCl.hasFPowerSeriesOnBall, deriv_pos_right_of_sign_deriv, fderivWithin_arctan, Complex.analyticAt_cos, StrictMonoOn.exists_deriv_lt_slope, HasGradientAt.hasDerivAt, Complex.analyticOnNhd_cos, hasDerivAt_exp_zero, deriv_circleMap_eq_zero_iff, SchwartzMap.smooth', Complex.exists_cthickening_tendstoUniformlyOn, ArithmeticFunction.iteratedDeriv_LSeries_alternating, Real.contDiff_exp, Matrix.cstar_norm_def, ContMDiff.codRestrict_sphere, Real.differentiable_rpow_const, analyticWithinAt_cexp, fderiv_csin, DifferentiableOn.circleIntegral_one_div_sub_center_pow_smul, Real.analyticWithinAt_cosh, MeasureTheory.Lp.dense_hasCompactSupport_contDiff, IsRiemannianManifold.out, SmoothPartitionOfUnity.toPartitionOfUnity_toFun, fderiv_cosh, SmoothPartitionOfUnity.contMDiff_smul, 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, Differentiable.rpow_const, Complex.hasDerivAt_exp, Complex.contDiff_cos, intervalIntegral.derivWithin_integral_left, HasStrictFDerivAt.sinh, HasCompactSupport.contDiff_convolution_right, mfderiv_subtype_coe_Icc_one, Complex.taylorSeries_eq_of_entire', HasFDerivAt.cpow, hasDerivWithinAt_Ici_of_tendsto_deriv, 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, Function.Periodic.differentiableAt_cuspFunction_zero, Complex.hasDerivAt_log_sub_logTaylor, DifferentiableAt.arctan, InnerProductSpace.HarmonicOnNhd.exists_analyticOnNhd_ball_re_eq, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, inner_gradient_left, eventually_norm_trivializationAt_lt, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, SmoothBumpFunction.nhdsWithin_range_basis, ProbabilityTheory.analyticOnNhd_complexMGF, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, Real.hasDerivAt_Gamma_nat, HasStrictFDerivAt.inner, ContDiffWithinAt.sin, AnalyticAt.cexp', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, 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, integral_bilinear_fderiv_right_eq_neg_left_of_integrable, ProbabilityTheory.analyticAt_iteratedDeriv_mgf, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Real.logDeriv_cos, HasDerivAt.const_cpow, exists_smooth_zero_one_nhds_of_isClosed, HasFDerivAt.cosh, derivWithin_sinh, Real.not_continuousAt_deriv_qaryEntropy_one, DifferentiableOn.norm, Complex.hasDerivAt_log, DifferentiableAt.ccos, AnalyticOnNhd.log, HasDerivAt.sin, ContDiffOn.norm, ModularFormClass.qExpansionFormalMultilinearSeries_coeff, Real.logDeriv_cosh, sum_mul_eq_sub_integral_mul₀, measurable_derivWithin_Ici, HasDerivWithinAt.exp, 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, StrictConcaveOn.leftDeriv_lt_slope, ContDiff.real_of_complex, Complex.tendstoUniformlyOn_deriv_of_cthickening_subset, Real.fourierIntegral_deriv, Complex.reCLM_enorm, UpperHalfPlane.contMDiff_denom, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, Real.hasDerivAt_sinh, Real.deriv_log_comp_eq_logDeriv, Manifold.exists_lt_of_riemannianEDist_lt, Complex.norm_fderiv_le_div_of_mapsTo_ball, norm_innerSL_le, VectorFourier.hasFDerivAt_fourierChar_smul, Differentiable.const_cpow, Complex.hasDerivWithinAt_sqrt, logDeriv_sineTerm_eq_cotTerm, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.csinh, ZMod.differentiable_LFunction_of_sum_zero, InformationTheory.not_differentiableAt_klFun_zero, Real.deriv_cosh, HasFDerivWithinAt.cos, 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, E2_mdifferentiable, DifferentiableWithinAt.sinh, DifferentiableOn.arsinh, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, SmoothPartitionOfUnity.nonneg', taylor_mean_remainder_lagrange, SchwartzMap.fourier_convolution, ContDiffWithinAt.norm, SmoothPartitionOfUnity.IsSubordinate.contMDiff_finsum_smul, 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, DifferentiableWithinAt.exp, ContDiff.csin, expNegInvGlue.differentiable_polynomial_eval_inv_mul, Complex.differentiableAt_cos, UpperHalfPlane.mdifferentiable_denom_zpow, HasGradientWithinAt.hasFDerivWithinAt, DifferentiableWithinAt.rpow, hasFDerivAt_exp, Differentiable.rpow, ContDiffAt.exp, DifferentiableAt.cpow, MeromorphicOn.Gamma, complexOfReal_derivWithin, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, HasDerivWithinAt.log, DifferentiableOn.csin, Real.analyticOnNhd_arcosh, sum_mul_eq_sub_sub_integral_mul, exists_contMDiffMap_one_nhds_of_subset_interior, ContDiffWithinAt.log, ContDiffOn.csinh, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, Real.deriv_mul_log_zero, DifferentiableWithinAt.inner, SmoothPartitionOfUnity.sum_le_one, HurwitzZeta.differentiable_completedHurwitzZetaEven₀, MeasureTheory.contDiffOn_convolution_right_with_param_aux, VectorFourier.fourierIntegral_fderiv, HurwitzZeta.differentiable_completedHurwitzZetaOdd, AnalyticWithinAt.log, 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, ConcaveOn.slope_le_deriv, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, measurableSet_of_differentiableWithinAt_Ici, eventually_norm_mfderiv_extChartAt_lt, ContMDiffWithinAt.inner_bundle, 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, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, SchwartzMap.integrable_pow_mul_iteratedFDeriv, Complex.deriv_exp, Derivative.serreDerivative_mdifferentiable, Real.fderiv_fourierChar_neg_bilinear_left_apply, Real.deriv_tan, ConcaveOn.antitoneOn_deriv, DirichletCharacter.differentiable_LFunctionTrivChar₁, Real.fourierIntegral_continuousMultilinearMap_apply', HasGradientAtFilter.hasDerivAtFilter, TestFunctionClass.map_contDiff, Real.differentiable_fourier, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, UpperHalfPlane.hasStrictFDerivAt_smul, inner_gradient_right, UpperHalfPlane.mdifferentiable_iff, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, Submodule.orthogonalProjection_norm_le, Function.HasTemperateGrowth.isBigO_uniform, Differentiable.cos, 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, Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, InformationTheory.deriv_klFun, one_add_rpow_hasFPowerSeriesOnBall_zero, AnalyticOnNhd.im_ofReal, boundary_product, Manifold.exists_lt_locally_constant_of_riemannianEDist_lt, MeasureTheory.norm_condExpL2_le_one, differentiable_sigmoid, RightDerivMeasurableAux.mem_A_of_differentiable, Complex.analyticOnNhd_sinh, Complex.analyticWithinAt_cos, Complex.hasStrictDerivAt_sqrt, DifferentiableAt.abs_of_pos, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, InnerProductSpace.symm_toEuclideanLin_rankOne, HasDerivAt.clog_real, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousLinearMap.adjoint_innerSL_apply, HasFDerivAt.rpow, LSeries.hasDerivAt_term, UpperHalfPlane.mdifferentiableAt_ofComplex, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, ContDiffMapSupportedIn.structureMapLM_apply, AnalyticOn.log, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, binomialSeries_radius_ge_one, DifferentiableAt.abs_of_neg, AnalyticAt.cexp, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, ContDiffBump.contDiffWithinAt, Real.fourier_smul_convolution_eq, ContDiff.arsinh, Complex.deriv_log_comp_eq_logDeriv, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, ContDiffAt.hasStrictDerivAt', WeakFEPair.differentiable_Λ₀, derivWithin.log, DifferentiableWithinAt.ccos, InnerProductSpace.HarmonicContOnCl.contDiffAt, intervalIntegral.integral_deriv_of_contDiffOn_Icc, curveIntegralFun_def, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, Differentiable.ccosh, Differentiable.norm, Real.deriv_fourier, contDiff_sigmoid, Complex.taylorSeries_eq_on_emetric_ball', HasFDerivWithinAt.sin, setOf_riemannianEDist_lt_subset_nhds', ContDiffWithinAt.sqrt, HasStrictFDerivAt.exp, MeasureTheory.integral_convolution, DifferentiableAt.dist, contDiff_euclidean, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, fderiv_sin, DirichletCharacter.continuousOn_neg_logDeriv_LFunctionTrivChar₁, DirichletCharacter.differentiable_completedLFunction, ContDiffAt.sqrt, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, HurwitzZeta.differentiableAt_expZeta, Complex.differentiableOn_tsum_of_summable_norm, ContDiffAt.contDiffBump, Differentiable.analyticAt, fderiv_norm_sq, HasStrictDerivAt.sqrt, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Function.HasTemperateGrowth.isBigO, Complex.logDeriv_cosh, HasStrictDerivAt.ccos, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, ContDiffOn.dist, MDifferentiable.inner_bundle, deriv_cosh, 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, DifferentiableAt.csin, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, ProbabilityTheory.charFunDual_stdGaussian, Real.iteratedDerivWithin_sin_Ioo, instIsManifoldIcc, TemperedDistribution.smulLeftCLM_apply_apply, deriv_sqrt, ContinuousLinearMap.opNorm_le_of_re_inner_le, fderiv_inner_apply, SmoothBumpCovering.toSmoothPartitionOfUnity_zero_of_zero, contDiffAt_abs, deriv2_sqrt_mul_log, SmoothPartitionOfUnity.contMDiff_sum, Real.hasStrictDerivAt_log_of_pos, contMDiffOn_projIcc, ContDiff.cosh, differentiableAt_jacobiTheta, ContinuousLinearMap.orthogonal_ker, Metric.exists_contMDiffMap_forall_closedEBall_subset, differentiableAt_iteratedDerivWithin_cexp, contMDiff_circleExp, SmoothBumpFunction.image_eq_inter_preimage_of_subset_support, DifferentiableWithinAt.cos, Real.deriv2_negMulLog, ContDiffOn.sinh, InnerProductSpace.norm_rankOne, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, hasFDerivAt_integral_of_dominated_loc_of_lip, HasFDerivWithinAt.cosh, norm_jacobiTheta₂_term_fderiv_le, HasStrictDerivAt.clog, SmoothBumpFunction.closedBall_subset, ContDiffOn.arsinh, HasStrictFDerivAt.rpow_const, intervalIntegral.differentiableOn_integral_of_continuous, differentiable_circleMap, UpperHalfPlane.mdifferentiable_smul, SmoothBumpFunction.isCompact_symm_image_closedBall, Real.smoothTransition.contDiff, Unitization.cfcₙ_eq_cfc_inr, HasDerivAt.cpow_const, HurwitzZeta.differentiable_completedCosZeta₀, AnalyticOn.cexp, AnalyticAt.im_ofReal, Real.differentiableAt_negMulLog_iff, Complex.hasSum_taylorSeries_on_eball, Complex.differentiable_iteratedDeriv_cosh, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, 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, DifferentiableOn.analyticOn, hasStrictFDerivAt_euclidean, aemeasurable_derivWithin_Ioi, InnerProductSpace.HarmonicContOnCl.differentiableAt, LinearIsometry.adjoint_comp_self
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toNormedField 📖 | CompOp | 2402 mathmath: Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, instSeparatingDual, Convex.norm_image_sub_le_of_norm_derivWithin_le, TensorProduct.mapInclIsometry_apply, LinearMap.IsSymmetric.clm_adjoint_eq, ContinuousLinearMap.rayleigh_smul, DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply, InnerProductSpace.Core.inner_smul_right, RCLike.conj_re, TemperedDistribution.lineDerivOpCLM_eq, Submodule.starProjection_apply_eq_isComplProjection, WithLp.prod_inner_apply, RCLike.sqrt_eq_ite, ContinuousLinearMap.inner_map_map_of_mem_unitary, integrableOn_cfcₙ', ContinuousAt.inner, LinearMap.IsStarProjection.ext_iff, 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, continuous_cfcₙHomSuperset_left, LinearMap.IsSymmetric.conj_eigenvalue_eq_self, cfcₙL_integral, 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, Submodule.IsCompl.projection_isSymmetricProjection_iff, 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, Matrix.IsHermitian.isClosedEmbedding_cfcAux, InnerProductSpace.toLinearIsometry_toDual, RCLike.ofRealCLM_apply, RCLike.normSq_to_real, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, IsSelfAdjoint.commute_cfcHom, InnerProductSpace.span_gramSchmidtNormed, LinearMap.toLinearMap_tracePositiveLinearMap, cfcₙ_norm_nonneg, ContinuousWithinAt.cfcₙ, EuclideanGeometry.reflection_orthogonal_vadd, hasFDerivAt_iff_hasGradientAt, RCLike.reCLM_apply, cfcₙHom_apply_mem_elemental, ClosedSubmodule.sub_mem_orthogonal_of_inner_right, 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, MeasureTheory.taylor_charFun_two, OrthogonalFamily.linearIsometry_apply_single, Filter.Tendsto.cfc, ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection, InnerProductSpace.rankOne_one_left_eq_innerSL, Submodule.IsOrtho.starProjection_comp_starProjection, IsHilbertSum.mkInternal, cfc_mem_elemental, ContDiffAt.implicitFunction_def, LinearMap.IsSymmetric.restrictScalars, StrongDual.norm_extendRCLike, ContinuousLinearMap.opNorm_bound_of_ball_bound, ClosedSubmodule.toSubmodule_orthogonal_eq, ContinuousLinearMap.sSup_unit_ball_eq_norm, Convex.convex_isRCLikeNormedField, LinearMap.instIsOrderedAddMonoidId, nnnorm_cfc_lt, EuclideanSpace.orthonormal_single, Matrix.IsHermitian.det_abs, RCLike.ofRealLI_apply, LinearMap.IsPositive.ne_zero_iff, hasDerivAt_integral_of_dominated_loc_of_lip, 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, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Matrix.spectrum_toEuclideanLin, hasStrictFDerivAt_of_hasFDerivAt_of_continuousAt, MeasureTheory.norm_condExpL2_le, InnerProductSpace.isIdempotentElem_rankOne_self, Matrix.cstar_nnnorm_def, Matrix.IsHermitian.cfc_eq, 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, integrableOn_cfc', ContinuousLinearMap.integral_apply, 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.orthogonal_ker, LinearMap.IsSymmetric.diagonalization_apply_self_apply, EuclideanGeometry.orthogonalProjection_congr, LinearMap.IsPositive.re_inner_nonneg_right, MeasureTheory.iteratedDeriv_charFun_zero, flip_innerSL_real, Matrix.le_iff, norm_cfc_lt_iff, Orientation.volumeForm_robust_neg, Submodule.starProjection_orthogonal', RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, 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', Module.Dual.extendRCLikeₗ_symm_apply, MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, RCLike.pos_iff, MeasureTheory.isTightMeasureSet_iff_inner_tendsto, isClosedEmbedding_cfcₙAux, AddChar.wInner_cWeight_self, TensorProduct.enorm_comm, innerSL_apply_apply, Submodule.isOrtho_sup_right, HasGradientAt.continuousOn, CFC.abs_eq_cfcₙ_coe_norm, Orthonormal.codRestrict, LinearIsometry.rTensor_def, LinearMap.adjoint_innerₛₗ_apply, inner_sum, EuclideanSpace.inner_single_left, EuclideanSpace.basisFun_toBasis, LinearMap.singularValues_zero, Submodule.orthogonalProjectionFn_inner_eq_zero, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, inner_eq_norm_mul_iff, RCLike.geometric_hahn_banach_of_nonempty_interior_point, RCLike.map_same_eq_id, LinearMap.adjoint_eq_toCLM_adjoint, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, nnnorm_cfcₙ_lt_iff, Matrix.toLinearMap_tracePositiveLinearMap, 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, StrongDual.norm_extendRCLike_bound, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, Submodule.starProjection_add_starProjection_orthogonal, Matrix.spectrum_toLpLin, ContinuousOn.cfcₙ', OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, InnerProductSpace.Core.inner_smul_left, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, ContinuousMap.setOfIdeal_ofSet_eq_interior, InnerProductSpace.toDual_symm_apply, OrthogonalFamily.of_pairwise, MeasureTheory.integral_fintype_prod_eq_prod, IsHilbertSum.linearIsometryEquiv_symm_apply, OrthonormalBasis.det_to_matrix_orthonormalBasis_of_same_orientation, Submodule.starProjection_singleton, RCLike.conj_nat_cast, EuclideanSpace.basisFun_apply, EuclideanGeometry.reflection_symm, RKHS.coe_smul, IsGreatest.nnnorm_cfcₙ, ContinuousAt.cfc, Submodule.isOrtho_iff_inner_eq, EuclideanGeometry.orthogonalProjection_contLinear, curveIntegralFun_smul, ClosedSubmodule.mem_orthogonal', RCLike.ofReal_re, ContinuousLinearMap.ker_le_ker_iff_range_le_range, 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, ContDiffAt.hasStrictDerivAt, 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, inner_gradientWithin_right, 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, Submodule.sub_mem_orthogonal_of_inner_left, 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, LinearMap.ker_self_comp_adjoint, Matrix.IsHermitian.eigenvalues_eq, Filter.tendsto_ofReal_iff', inner_smul_left_eq_star_smul, norm_cfc_le_iff, 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, entry_norm_bound_of_unitary, LinearMap.IsSymmetricProjection.ext_iff, ConvexOn.univ_sSup_of_countable_affine_eq, Matrix.PosDef.eigenvalues_pos, RCLike.hasSum_ofReal, InnerProductSpace.inner_left_rankOne_apply, NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le, RCLike.continuous_normSq, ClosedSubmodule.orthogonal_injective, InnerProductSpace.gramSchmidtNormed_linearIndependent, SchwartzMap.fderivCLM_apply, Module.Dual.re_extendRCLike_apply, difference_quotients_converge_uniformly, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.norm_extendTo𝕜, cfcHom_mem_elemental, cfcₙHom_mem_elemental, 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, Submodule.starProjection_tendsto_self, RCLike.nonpos_iff, RCLike.smul_re, RCLike.nonpos_iff_exists_ofReal, RCLike.wInner_of_isEmpty, LinearMap.IsSymmetric.directSum_decompose_apply, LinearMap.IsSymmetric.splits_charpoly, Continuous.cfc', RCLike.realRingEquiv_symm_apply, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, ContinuousLinearMap.IsPositive.smul_of_nonneg, InnerProductSpace.rankOne_apply, EuclideanSpace.nndist_eq, Unitary.coe_linearIsometryEquiv_apply, OrthonormalBasis.toBasis_adjustToOrientation, Matrix.IsHermitian.rank_eq_rank_diagonal, Submodule.reflection_singleton_apply, RCLike.nonUnitalContinuousFunctionalCalculus, HasDerivAt.hasGradientAt, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, intervalIntegral.integral_div, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, isClosed_setOf_tendsto_birkhoffAverage, NormedField.exists_lt_nnnorm_lt, AnalyticOn.hasFPowerSeriesOnSubball, cfcₙ_integral, IsSelfAdjoint.adjoint_eq, Submodule.finrank_add_finrank_orthogonal', LinearMap.isHermitian_toMatrix_iff, OrthonormalBasis.measurePreserving_repr, Submodule.reflection_apply, RCLike.ofReal_comp_balance, RCLike.abs_re_le_norm, curveIntegralFun_segment, RKHS.kernel_apply, 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, cfcₙ_setIntegral, HasGradientAt.continuousAt, LinearIsometryEquiv.lTensor_apply, InnerProductSpace.gramSchmidt_def, LinearMap.ker_adjoint_comp_self, ContinuousLinearMap.isPositive_self_comp_adjoint, RCLike.ofReal_sub, LinearMap.adjoint_toContinuousLinearMap, Affine.Simplex.orthogonalProjectionSpan_eq_point, Unitary.linearIsometryEquiv_coe_apply, Matrix.IsHermitian.eigenvectorUnitary_col_eq, LDL.lowerInv_eq_gramSchmidtBasis, Submodule.starProjection_inner_eq_zero, RCLike.norm_sq_eq_def_ax, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, ContinuousLinearMap.toSesqForm_apply_coe, SchwartzMap.fourierMultiplierCLM_compL_fourierMultiplierCLM, LinearPMap.adjointAux_unique, 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, Module.Dual.im_extendRCLike_apply, Orthonormal.basisTensorProduct, InnerProductSpace.Core.inner_smul_ofReal_right, LinearEquiv.coe_isometryOfOrthonormal, Matrix.IsHermitian.eigenvalues_eq_eigenvalues_iff, RCLike.conjCLE_apply, EuclideanSpace.norm_single, ContinuousLinearMap.exists_lt_apply_of_lt_opNNNorm, RCLike.mul_im_ax, ProbabilityTheory.IndepFun.integral_comp_mul_comp, Orthonormal.inner_left_fintype, LinearMap.IsSymmetricProjection.sub_of_range_le_range, LinearMap.IsSymmetric.conj_adjoint, InnerProductSpace.Core.norm_eq_sqrt_re_inner, RCLike.wInner_cWeight_eq_expect, Submodule.coe_orthogonalDecomposition_symm, MeasureTheory.aestronglyMeasurable_condExpL2, RCLike.I_mul_I, cfcL_integrable, Submodule.orthogonalProjection_bot, ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, coe_basisOfOrthonormalOfCardEqFinrank, 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, EuclideanGeometry.orthogonalProjection_apply_mem, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, IsSelfAdjoint.isSymmetric, LinearMap.toMatrixOrthonormal_apply_apply, RCLike.I_re_ax, MeasureTheory.charFun_apply_real, RCLike.instCStarRing, LinearPMap.graph_adjoint_toLinearPMap_eq_adjoint, EuclideanGeometry.dist_orthogonalProjection_eq_of_oangle_eq, Submodule.finrank_add_inf_finrank_orthogonal, Submodule.exists_add_mem_mem_orthogonal, LDL.lowerInv_orthogonal, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, HasGradientWithinAt.continuousWithinAt, RCLike.re_nonneg_of_nonneg, InnerProductSpace.Core.inner_neg_left, ContinuousLinearMap.integral_comp_comm', LinearMap.IsSymmetric.coe_re_inner_self_apply, ContinuousOn.cfc, summable_mul_of_bigO_atTop, AddChar.wInner_cWeight_eq_zero_iff_ne, entrywise_sup_norm_bound_of_unitary, RCLike.iInter_countable_halfSpaces_eq, 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, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, Finsupp.sum_inner, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, MeasureTheory.condExpL2_indicator_ae_eq_smul, ContinuousLinearMap.exists_lt_apply_of_lt_opNorm, RCLike.complexRingEquiv_apply, 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, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, Submodule.le_orthogonal_orthogonal, LinearMap.eq_adjoint_iff_basis_left, LinearMap.IsSymmetricProjection.isIdempotentElem, Matrix.PosSemidef.posDef_iff_isUnit, 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, HasFDerivAt.curveIntegral_segment_source, Matrix.IsHermitian.eigenvectorUnitary_mulVec, Submodule.instHasOrthogonalProjectionOfCompleteSpace, InnerProductSpace.unique_continuousLinearMapOfBilin, MeasureTheory.MemLp.inner_const, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, Submodule.orthogonal_orthogonal_monotone, Module.Dual.norm_extendRCLike_apply_sq, 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, Matrix.PosSemidef.det_sqrt, MeasureTheory.integral_condExpL2_eq, LinearPMap.adjoint_apply_eq, integral_smul_const, range_cfcₙHom, NormedField.denselyOrdered_range_norm, RCLike.toPosMulReflectLT, TensorProduct.lidIsometry_apply, OrthogonalFamily.isInternal_iff_of_isComplete, MeasureTheory.StronglyMeasurable.inner, Convex.exists_forall_hasFDerivAt_of_fderiv_symmetric, Orientation.volumeForm_def, EuclideanSpace.dist_single_same, Module.Basis.coe_toOrthonormalBasis_repr, LinearMap.IsPositive.inner_nonneg_left, norm_cfcₙ_lt, hasGradientAtFilter_iff_isLittleO, MeasureTheory.convolution_precompR_apply, ContinuousLinearMap.instCStarRingId, NormedSpace.eq_zero_iff_forall_dual_eq_zero, SchwartzMap.compSubConstCLM_apply, hasGradientAt_iff_isLittleO, MeasureTheory.setIntegral_condExpL2_indicator, InnerProductSpace.nnnorm_rankOne, PreInnerProductSpace.Core.conj_inner_symm, range_cfc_subset, stereographic_apply_neg, OrthonormalBasis.orthogonalProjection_apply_eq_sum, LinearMap.isSymmetric_self_comp_adjoint, Matrix.PosSemidef.trace_eq_zero_iff, InnerProductSpace.Core.norm_inner_symm, HasGradientWithinAt.differentiableWithinAt, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, Matrix.gram_zero, Submodule.norm_eq_iInf_iff_inner_eq_zero, Module.Dual.extendRCLike_apply, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, RKHS.isHermitian_kernel, ProbabilityTheory.complexMGF_mul_I, Matrix.IsHermitian.charpoly_cfc_eq, RCLike.norm_ofNat, IsGreatest.norm_cfcₙ, hasGradientWithinAt_iff_hasFDerivWithinAt, norm_inner_eq_norm_iff, RCLike.re_monotone, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, DirectSum.IsInternal.subordinateOrthonormalBasis_subordinate, Matrix.gram_eq_conjTranspose_mul, RCLike.im_ofReal_pow, LinearIsometryEquiv.smul_apply, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.IsSymmetric.card_filter_eigenvalues_eq, FiniteDimensional.RCLike.properSpace_submodule, EuclideanGeometry.dist_orthogonalProjection_eq_of_two_zsmul_oangle_eq, range_stereographic_symm, cfcₙ_comp_norm, FiniteDimensional.rclike_to_real, ContinuousLinearMap.norm_eq_iSup_rayleighQuotient, WeakDual.CharacterSpace.continuousMapEval_bijective, LDL.lowerInv_triangular, Orientation.volumeForm_robust, PiLp.volume_preserving_toLp, LowerSemicontinuousOn.isClosed_re_epigraph, EuclideanGeometry.orthogonalProjection_apply', Affine.Simplex.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, isOpenEmbedding_stereographic_symm, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, Polynomial.ofReal_eval, RCLike.wInner_neg_right, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, Continuous.cfcₙ_of_mem_nhdsSet, inner_self_im, NormedField.denseRange_nnnorm, RCLike.ofReal_natCast, cfcₙHom_integral, EuclideanGeometry.orthogonalProjection_orthogonalProjection_of_le, unitary.linearIsometryEquiv_coe_symm_apply, ContinuousLinearMap.isPositive_def, Continuous.cfcₙ, continuousOn_cfc_setProd, RKHS.posSemidef_tfae, 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, IsGreatest.norm_cfc, hasStrictFDerivAt_exp, inner_re_zero_left, IsCoercive.range_eq_top, gauge_norm_smul, 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, LinearIsometryEquiv.reflections_generate_dim_aux, Complex.orthonormalBasisOneI_repr_apply, RCLike.conj_mul, Matrix.LE.le.posSemidef, 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, LinearMap.IsSymmetric.isSelfAdjoint, SchwartzMap.fourierMultiplierCLM_sum, NormedSpace.eq_iff_forall_dual_eq, ContinuousLinearEquiv.integral_comp_comm, continuousOn_cfcₙ, Submodule.isIdempotentElem_starProjection, sum_mul_eq_sub_integral_mul', RCLike.div_im, LinearEquiv.isometryOfOrthonormal_toLinearEquiv, hasFDerivAt_norm_rpow, dist_birkhoffAverage_apply_birkhoffAverage, IsSelfAdjoint.isClosed, LinearIsometry.inner_map_map, Matrix.eigenvalues_conjTranspose_mul_self_nonneg, ClosedSubmodule.orthogonal_le, Submodule.orthogonalProjection_mem_subspace_orthogonalComplement_eq_zero, sum_inner, RCLike.ofReal_mul, RKHS.kerFun_apply, RCLike.im_to_real, RCLike.instContinuousMapUniqueHom, ContinuousLinearMap.IsPositive.conj_adjoint, Matrix.toEuclideanCLM_toLp, WeakDual.CharacterSpace.homeoEval_naturality, Submodule.IsCompl.projection_isSymmetricProjection_of_isOrtho, InnerProductSpace.Core.inner_neg_right, ContinuousLinearMap.isPositive_id, RCLike.conjCLE_coe, contDiffOn_stereoToFun, RCLike.ext_iff, Matrix.IsHermitian.trace_eq_sum_eigenvalues, Unitary.coe_symm_linearIsometryEquiv_apply, hasStrictFDerivAt_exp_smul_const', Matrix.posDef_gram_of_linearIndependent, range_cfcₙ, LinearMap.adjoint_rTensor, hasGradientAt_iff_isLittleO_nhds_zero, RCLike.normSq_inv, LinearMap.IsPositive.add, HilbertBasis.hasSum_orthogonalProjection, ContinuousLinearMap.isUnit_of_forall_le_norm_inner_map, LinearMap.adjoint_inner_right, MeasureTheory.mem_lpMeas_indicatorConstLp, InnerProductSpace.adjoint_rankOne, stereoInvFun_apply, InnerProductSpace.rankOne_eq_zero, IsGreatest.nnnorm_cfc, 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, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, HasFDerivWithinAt.hasGradientWithinAt, IsSelfAdjoint.hasEigenvector_of_isMaxOn, innerSL_inj, MeasureTheory.condExpIndSMul_smul, Orthonormal.equiv_symm, TensorProduct.ext_iff_inner_left_threefold, MeasureTheory.lintegral_nnnorm_condExpL2_le, LinearMap.IsSymmetric.toLinearMap_symm, RCLike.conj_eq_iff_re, StrongDual.toLp_of_not_memLp, AffineSubspace.signedInfDist_eq_signedDist_of_mem, LinearMap.IsSymmetric.coe_toSelfAdjoint, gaugeSeminorm_ball_one, TensorProduct.inner_lid_lid, EuclideanSpace.volume_closedBall_fin_two, OrthonormalBasis.toBasis_map, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, 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', ContinuousLinearMap.norm_map_of_mem_unitary, HasDerivWithinAt.inner, DifferentiableAt.inner, NormedSpace.exp_continuousMap_eq, MeasureTheory.hasFDerivAt_convolution_right_with_param, InnerProductSpace.exists_of_rankOne_eq_rankOne, InnerProductSpace.Core.inner_im_symm, OrthonormalBasis.sum_sq_norm_inner_right, SchwartzMap.postcompCLM_apply, LinearIsometryEquiv.reflections_generate, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, Submodule.map_orthogonal_equiv, RCLike.isUniformEmbedding_ofReal, EuclideanSpace.coe_proj, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, Matrix.l2_opNNNorm_mulVec, cfcₙ_mem_elemental, 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, LinearMap.IsSymmetric.iSup_iInf_eq_top_of_commute, LinearMap.IsSymmetric.adjoint_conj, 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, cfcHom_integral, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, Affine.Simplex.orthogonalProjectionSpan_congr, ContDiffAt.hasStrictFDerivAt', Affine.Simplex.mongePlane_def, ProbabilityTheory.complexMGF_id_mul_I, Matrix.isSymmetric_toEuclideanLin_iff, ProbabilityTheory.map_pi_eq_stdGaussian, inner_neg_right, ContinuousLinearMap.IsPositive.isSymmetric, nnnorm_apply_le_nnnorm_cfcₙ, Orthonormal.isHilbertSum, OrthonormalBasis.singleton_apply, OrthonormalBasis.equiv_apply, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, SchwartzMap.lineDeriv_eq_fourierMultiplierCLM, RCLike.sqrt_one, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, LinearMap.IsSymmetric.restrict_invariant, LinearMap.isometryOfInner_toLinearMap, ContinuousLinearMap.rayleighQuotient_zero_apply, LinearIsometryEquiv.conjStarAlgEquiv_trans, LinearMap.adjoint_comp_self_injective_iff, LinearMap.IsSymmetric.continuous, ContinuousMap.ideal_isMaximal_iff, integral_conj, LinearIsometry.extend_apply, InnerProductSpace.rank_rankOne, LinearMap.isSymmetric_sum, Module.Basis.coe_toOrthonormalBasis_repr_symm, RCLike.geometric_hahn_banach_of_nonempty_interior', Submodule.isOrtho_top_left, IsometricContinuousFunctionalCalculus.toNonUnital, InnerProductSpace.toDual_apply_apply, Matrix.PosSemidef.eigenvalues_nonneg, 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, OrthogonalFamily.isInternal_iff, 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, LDL.lower_conj_diag, hasFDerivAt_integral_of_dominated_loc_of_lip', Submodule.toLinearMap_starProjection_eq_isComplProjection, Matrix.IsHermitian.posSemidef_iff_eigenvalues_nonneg, RKHS.kerFun_dense, InnerProductSpace.rankOne_def, TensorProduct.nnnorm_map, InnerProductSpace.Core.inner_self_eq_zero, LinearMap.singularValues_eq_zero_iff, 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, ContinuousLinearMap.IsIdempotentElem.isSymmetric_iff_orthogonal_range, integrable_cfcₙ, Matrix.l2_opNNNorm_conjTranspose, RCLike.ofReal_add, ClosedSubmodule.orthogonal_eq_inter, EuclideanGeometry.Sphere.orthogonalProjection_orthRadius_center, 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, Matrix.PosSemidef.nonneg, 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, HasDerivAtFilter.hasGradientAtFilter, Submodule.finrank_orthogonal_span_singleton, Matrix.nonneg_iff_posSemidef, RCLike.summable_conj, RCLike.geometric_hahn_banach_point_point, norm_cfcₙ_lt_iff, RCLike.wInner_zero_right, LinearMap.isPositive_natCast, inner_smul_real_right, TensorProduct.toLinearEquiv_congrIsometry, LinearMap.injective_iff_forall_lt_finrank_singularValues_pos, hasFDerivAt_exp_smul_const', Submodule.isOrtho_iSup_left, IsCoercive.bounded_below, SchwartzMap.postcompCLM_postcompCLM, Commute.cfcₙHom, Submodule.mem_orthogonal', LinearMap.toMatrixOrthonormal_symm_apply, ContinuousLinearMap.IsStarNormal.orthogonal_range, DirectSum.IsInternal.collectedBasis_orthonormal, 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, ContinuousLinearMap.IsIdempotentElem.TFAE, 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, Matrix.inner_toEuclideanCLM, EuclideanGeometry.orthogonalProjection_vadd_eq_self, RCLike.neg_iff, ClosedSubmodule.orthogonal_orthogonal_monotone, curveIntegral_restrictScalars, Matrix.PosSemidef.toLinearMap₂'_zero_iff, Submodule.starProjection_isSymmetric, RCLike.sqrt_eq_real_add_ite, Submodule.starProjection_apply, Submodule.reflection_mem_subspace_orthogonal_precomplement_eq_neg, Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', RCLike.inv_im, Matrix.l2_opNorm_conjTranspose, ProbabilityTheory.IndepFun.integral_fun_mul_eq_mul_integral, 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, Orthonormal.equiv_trans, 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, Convex.exists_forall_hasDerivWithinAt, inner_re_symm, ContinuousLinearMap.toLinearMap_innerSL_apply, WithLp.volume_preserving_toLp, Submodule.orthogonalFamily_self, SchwartzMap.fourierMultiplierCLM_apply, EuclideanGeometry.dist_orthogonalProjection_eq_dist_iff_eq_of_mem, ClosedSubmodule.mem_symplComp_iff, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, LinearMap.IsSymmetric.adjoint_eq, IsSelfAdjoint.dense_domain, 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, RKHS.inner_kerFun, 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, SchwartzMap.compSubConstCLM_zero, LinearPMap.adjoint_apply_of_not_dense, HasFDerivWithinAt.norm_sq, RCLike.wInner_smul_right, CFC.abs_algebraMap, ordinaryHypergeometric_radius_top_of_neg_nat₂, LinearMap.image_closure_of_convex, ClosedSubmodule.iInf_orthogonal, LinearMap.tracePositiveLinearMap_apply, EuclideanGeometry.reflection_apply_of_mem, Matrix.isHermitian_gram, integral_inner, RCLike.ofReal_im, LinearMap.IsSymmetric.isSymmetric_smul_iff, Matrix.isStrictlyPositive_iff_posDef, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ContinuousLinearMap.rayleighQuotient_le_of_norm_mem_resolventSet, Orthonormal.linearIsometryEquiv_symm_apply_single_one, Matrix.PosDef.commute_iff, OrthonormalBasis.equiv_self_rfl, Matrix.IsHermitian.roots_charpoly_eq_eigenvalues, Matrix.IsHermitian.cfcAux_apply, RCLike.abs_im_le_norm, RCLike.finrank_le_two, Matrix.IsHermitian.splits_charpoly, InnerProductSpace.coe_gramSchmidtBasis, MeasureTheory.integral_charFun_Icc, LinearMap.hasEigenvalue_adjoint_comp_self_sq_singularValues, Submodule.reflection_inv, sum_mul_eq_sub_integral_mul₀', RCLike.toCompleteSpace, RCLike.nonneg_iff, LinearEquiv.image_closure_of_convex, Affine.Simplex.orthogonalProjection_circumcenter, RCLike.ofReal_zero, Matrix.ofLp_toEuclideanCLM, summable_pow_div_add, Submodule.norm_starProjection, Filter.Tendsto.cfcₙ, ClosedSubmodule.sup_orthogonal, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', hasDerivAt_exp_smul_const, ClosedSubmodule.sub_mem_orthogonal_of_inner_left, RCLike.continuous_re, LinearPMap.adjoint_isClosed, Unitary.linearIsometryEquiv_coe_symm_apply, Submodule.eq_starProjection_of_mem_of_inner_eq_zero, exists_dual_vector, Orthonormal.map_equiv, LinearMap.IsSymmetric.hasEigenvalue_eigenvalues, ContinuousLinearMap.rayleighQuotient_le_norm, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, OrthonormalBasis.det_to_matrix_orthonormalBasis, RCLike.instContinuousStar, Convex.lipschitzOnWith_of_nnnorm_hasDerivWithin_le, 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, MeasureTheory.isTightMeasureSet_range_iff_tendsto_limsup_inner, RCLike.sqrt_map, Submodule.reflection_mul_reflection, curveIntegral_fun_neg, RCLike.zero_re, RCLike.inner_tmul_eq, LinearPMap.IsFormalAdjoint.le_adjoint, Matrix.instFiniteElemRealSpectrum, InnerProductSpace.Core.inner_re_symm, inr_comp_cfcₙHom_eq_cfcₙAux, 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, nnnorm_cfc_le_iff, TensorProduct.enorm_tmul, Polynomial.aeval_conj, Submodule.starProjection_bot, RCLike.re_eq_add_conj, ContinuousLinearMap.isometry_iff_adjoint_comp_self, ContDiff.inner, HasGradientAt.differentiableAt, ContDiffAt.hasStrictFDerivAt, InnerProductSpace.gramSchmidtOrthonormalBasis_apply_of_orthogonal, TemperedDistribution.fourierMultiplierCLM_toTemperedDistributionCLM_eq, Submodule.orthogonal_closure, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, IsSelfAdjoint.conj_adjoint, TensorProduct.inner_assoc_assoc, InnerProductSpace.Core.norm_inner_le_norm, EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eq, ContinuousLinearMap.reApplyInnerSelf_apply, Affine.Simplex.direction_mongePlane, RCLike.wInner_const_left, LinearMap.IsIdempotentElem.isSymmetric_iff_isOrtho_range_ker, RCLike.wInner_cWeight_const_left, LinearMap.IsSymmetric.coe_reApplyInnerSelf_apply, 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, Matrix.IsHermitian.sort_roots_charpoly_eq_eigenvalues₀, OrthonormalBasis.coe_toBasis, Submodule.reflection_sub, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_radius_nonneg_and_vsub_mem_and_norm_sq, RCLike.inner_apply, LinearMap.IsSymmetric.natCast, ClosedSubmodule.mem_orthogonal, LinearEquiv.coe_isometryOfInner, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', LinearMap.re_inner_adjoint_mul_self_nonneg, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, RKHS.coeCLM_injective, MeasureTheory.Integrable.re_im_iff, RCLike.normSq_mul, LinearMap.isPositive_self_comp_adjoint, ContinuousLinearMap.ker_self_comp_adjoint, RCLike.hasSum_conj, circleIntegral.integral_smul, hasDerivAt_integral_of_dominated_loc_of_deriv_le, orthonormal_subtype_iff_ite, ProbabilityTheory.IndepFun.integral_fun_comp_mul_comp, ContinuousLinearMap.instStarModuleId, RCLike.wInner_smul_left, continuous_cfcHomSuperset_left, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, Matrix.linearIndependent_of_posDef_gram, exists_dual_vector'', LinearIsometry.adjoint_comp_self', RCLike.norm_wInner_le, Continuous.cfc_of_mem_nhdsSet, LinearIsometryEquiv.toLinearEquiv_smul, Module.Dual.extendRCLikeₗ_apply, curveIntegralFun_neg, binomialSeries_radius_eq_top_of_nat, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, 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, Orthonormal.equiv_toLinearEquiv, cfc_integral, MeasureTheory.AEStronglyMeasurable.const_inner, EuclideanGeometry.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, Orthonormal.inner_right_finsupp, ConvexOn.convex_re_epigraph, LinearMap.norm_extendTo𝕜'_apply_sq, OrthonormalBasis.tensorProduct_apply', EuclideanSpace.basisFun_repr, RCLike.sqrt_of_nonneg, ContinuousLinearMap.integral_comp_id_comm', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, inner_product_apply_eigenvector, RCLike.realLinearIsometryEquiv_symm_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_det, 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, SchwartzMap.fourierMultiplierCLM_ofReal, InnerProductSpace.Core.inner_smul_ofReal_left, Complex.orthonormalBasisOneI_repr_symm_apply, ContinuousLinearMap.orthogonalComplement_iSup_eigenspaces_eq_bot, LocallyConvexSpace.toPolynormableSpace, curveIntegralFun_fun_zero, RCLike.ofReal_alg, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, Submodule.sInf_orthogonal, LinearMap.IsSymmetric.directSum_isInternal_of_commute, OrthonormalBasis.inner_eq_zero, curveIntegralFun_def', MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, Submodule.isOrtho_span, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.AEStronglyMeasurable.re, ContinuousMultilinearMap.integral_apply, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, inner_add_add_self, sum_mul_eq_sub_integral_mul₁, RCLike.I_im, RCLike.complexLinearIsometryEquiv_symm_apply, ContinuousLinearMap.le_def, hasGradientAt_iff_tendsto, InnerProductSpace.Core.inner_sub_sub_self, LinearMap.isPositive_zero, RKHS.coeCLM_apply, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, Matrix.PosSemidef.kronecker, inner_add_right, LinearIsometry.orthonormal_comp_iff, continuous_inner, RCLike.sqrt_neg_one, ContinuousLinearMap.IsStarProjection.ext_iff, nnnorm_inner_le_nnnorm, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, InnerProductSpace.Core.inner_zero_right, IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, Submodule.isClosed_orthogonal, EuclideanSpace.norm_eq, RCLike.isCauSeq_norm, Matrix.IsHermitian.eigenvectorUnitary_apply, ContinuousOn.cfc_of_mem_nhdsSet, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, SchwartzMap.fourierMultiplierCLM_const, Submodule.norm_orthogonalProjection_apply, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, LinearMap.adjoint_lTensor, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, RCLike.conj_eq_iff_real, LinearMap.singularValues_pos_iff_lt_finrank_range, 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, Submodule.eq_starProjection_of_mem_orthogonal, Matrix.IsHermitian.det_eq_prod_eigenvalues, OrthogonalFamily.inner_sum, LinearMap.IsPositive.smul_of_nonneg, cfcₙAux_injective, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, EuclideanSpace.inner_eq_star_dotProduct, LinearMap.IsIdempotentElem.isSymmetric_iff_orthogonal_range, Matrix.IsHermitian.spectrum_eq_image_range, OrthonormalBasis.sum_repr_symm, RCLike.isCauSeq_im, InnerProductSpace.norm_sq_eq_re_inner, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, Orthonormal.inner_left_sum, StrongDual.extendRCLikeₗ_symm_apply, Pi.orthonormalBasis.toBasis, LinearIsometry.map_starProjection, Orientation.inner_mul_areaForm_sub', inner_sub_left, Matrix.posSemidef_gram, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, LinearMap.singularValues_fin, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, Submodule.inf_orthogonal, LinearMap.sq_singularValues_of_lt, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, toWeakSpace_closedConvexHull_eq, cfcₙ_mem, Submodule.IsOrtho.le, Submodule.reflection_map, InnerProductSpace.span_gramSchmidt_Iic, LinearMap.IsSymmetric.direct_sum_isInternal, Submodule.det_reflection, RCLike.hasSum_re, 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', Submodule.inner_left_of_mem_orthogonal, linearIndependent_of_ne_zero_of_inner_eq_zero, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, LinearPMap.isSelfAdjoint_def, DirectSum.IsInternal.subordinateOrthonormalBasis_def, SchwartzMap.compSubConstCLM_comp, IsContDiffImplicitAt.bijective, Submodule.eq_starProjection_of_mem_orthogonal', ProbabilityTheory.covarianceBilin_apply_basisFun, hasGradientAt_iff_hasFDerivAt, LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, LinearMap.finrank_range_adjoint, maximal_orthonormal_iff_orthogonalComplement_eq_bot, Submodule.reflection_orthogonal, LinearEquiv.isometryOfInner_toLinearEquiv, inner_eq_zero_of_left, LinearMap.sq_singularValues_fin, MeasureTheory.iteratedDeriv_charFun, ContinuousLinearMap.adjoint_comp_self_injective_iff, Submodule.isOrtho_top_right, LinearMap.IsSymmetric.smul, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, TensorProduct.assocIsometry_apply, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, Orthonormal.inner_finsupp_eq_sum_left, LinearMap.range_adjoint_comp_self, Matrix.IsHermitian.spectral_theorem, ContDiffAt.hasStrictFDerivAt_implicitFunction, integrableOn_cfcₙ, norm_cfcₙ_le, RCLike.mul_im_I_ax, RCLike.continuous_conj, EuclideanGeometry.dist_reflection_eq_of_mem, LinearIsometryEquiv.rTensor_apply, LinearIsometryEquiv.inner_map_map, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, InnerProductSpace.isStarProjection_rankOne_self, RCLike.norm_natCast, coord_norm', DirectSum.IsInternal.collectedOrthonormalBasis_mem, contDiffAt_inner, LinearIsometry.integral_comp_comm, OrthonormalBasis.measurePreserving_repr_symm, lp.summable_inner, spec_cfcₙAux, MeasureTheory.measureReal_abs_gt_le_integral_charFun, DifferentiableOn.inner, ClosedSubmodule.orthogonal_eq_top_iff, StrongDual.extendRCLikeₗᵢ_apply, EuclideanSpace.piLpCongrLeft_single, Submodule.sup_orthogonal_inf_of_hasOrthogonalProjection, Submodule.inner_right_of_mem_orthogonal, hasFDerivAt_exp_smul_const, Differentiable.inner, LinearMap.IsPositive.trace_nonneg, EuclideanGeometry.dist_reflection, PreInnerProductSpace.Core.re_inner_nonneg, RCLike.ofReal_intCast, InnerProductSpaceable.add_left, RCLike.complexRingEquiv_symm_apply, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, RCLike.normSq_eq_def', integrable_cfcₙ', RCLike.ofReal_eq_zero, ContinuousLinearMap.self_comp_adjoint_injective_iff, hasFDerivWithinAt_euclidean, ClosedSubmodule.mem_orthogonal_iff, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, Matrix.PosDef.isStrictlyPositive, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_blockTriangular, RCLike.re_mul_ofReal, nnnorm_cfc_le, LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, Submodule.starProjection_orthogonal, ContinuousLinearMap.instNonnegSpectrumClassRealId, ContinuousLinearMap.IsIdempotentElem.isPositive_iff_isSelfAdjoint, ContinuousMap.setOfIdeal_eq_compl_singleton, ContinuousLinearMap.integral_comp_commSL, RCLike.ofRealCLM_norm, Matrix.IsHermitian.eigenvectorUnitary_coe, Complex.sqrt_map, stereographic_target, inner_self_ofReal_norm, integrable_cfc', Unitary.norm_map, LinearMap.instStarModuleId, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, Submodule.starProjection_apply_mem, StarAlgEquiv.eq_linearIsometryEquivConjStarAlgEquiv, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, RCLike.im_tsum, InnerProductSpace.rankOne_comp_rankOne, EuclideanGeometry.dist_eq_iff_dist_orthogonalProjection_eq, Matrix.PosSemidef.det_nonneg, ProbabilityTheory.charFun_inv_sqrt_mul_sum, parallelogram_law, Submodule.orthogonal_closure', LinearIsometry.toLinearMap_rTensor, nnnorm_apply_le_nnnorm_cfc, RCLike.norm_re_le_norm, Matrix.toEuclideanLin_eq_toLin, Matrix.isHermitian_iff_isSymmetric, re_inner_self_pos, Continuous.cfc, Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, 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, Convex.exists_forall_hasFDerivWithinAt_of_fderivWithin_symmetric, inner_eq_neg_one_iff_of_norm_eq_one, Submodule.mem_orthogonal, exists_dual_vector', EuclideanSpace.basisFun_inner, LinearMap.IsSymmetric.iSup_iSup_eigenspace_inf_eigenspace_eq_top_of_commute, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, 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, Asymptotics.isBigO_atTop_natCast_rpow_of_tendsto_div_rpow, LinearIsometryEquiv.symm_rTensor, LinearMap.isSymmetricProjection_iff, Affine.Simplex.orthogonalProjectionSpan_restrict, 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, range_cfcₙ_subset, Matrix.isSymmetric_toLin_iff, LinearEquiv.isSymmetric_symm_iff, InnerProductSpace.gramSchmidt_def'', ContinuousLinearMap.intervalIntegral_apply, 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_, ContinuousOn.cfcₙ, RCLike.inv_pos_of_pos, curveIntegralFun_sub, RCLike.ofReal_one, RCLike.toIsOrderedAddMonoid, OrthogonalFamily.eq_ite, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Continuous.inner, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, RCLike.re_le_re, differentiableOn_euclidean, RCLike.reLm_coe, Convex.norm_image_sub_le_of_norm_deriv_le, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, InnerProductSpace.mem_span_gramSchmidt, inner_smul_real_left, RCLike.natCast_im, MeasureTheory.integrable_condExpL2_indicator, WithLp.volume_preserving_symm_measurableEquiv_toLp_prod, MeasureTheory.MemLp.re, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, Submodule.sub_mem_orthogonal_of_inner_right, RCLike.nnnorm_conj, RCLike.ratCast_re, MeasureTheory.AEStronglyMeasurable.im, cfc_comp_norm, RCLike.ofReal_eq_re_of_isSelfAdjoint, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, Matrix.IsHermitian.coe_re_apply_self, Unitization.instCStarRing, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, RKHS.kerFun_inner, RCLike.ofReal_div, HasFDerivWithinAt.curveIntegral_segment_source, ClosedSubmodule.inf_orthogonal_eq_bot, NormedSpace.isCompact_closure_of_isBounded, Submodule.reflection_eq_self_iff, Orthonormal.equiv_refl, stereographic_source, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, Commute.cfc, RCLike.lt_iff_re_im, IsometricContinuousFunctionalCalculus.norm_spectrum_le, Matrix.posSemidef_iff_eq_sum_vecMulVec, ContinuousLinearMap.ker_adjoint_comp_self, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, ContinuousOn.cfcₙ_of_mem_nhdsSet, SchwartzMap.integralCLM_apply, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, RCLike.norm_two, EuclideanGeometry.exists_dist_eq_iff_exists_dist_orthogonalProjection_eq, LinearMap.IsSymmetric.apply_eigenvectorBasis, EuclideanSpace.volume_ball_fin_two, DirectSum.IsInternal.card_filter_subordinateOrthonormalBasisIndex_eq, RCLike.im_eq_zero_of_le, norm_add_sq, Submodule.finrank_add_inf_finrank_orthogonal', 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, MeasureTheory.taylorWithinEval_charFun_two_zero, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, 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, LinearMap.coe_isometryOfInner, OrthonormalBasis.repr_symm_single, contDiff_inner, cfcL_integral, 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, Matrix.IsHermitian.spectrum_real_eq_range_eigenvalues, curveIntegral_eq_intervalIntegral_deriv, RCLike.inv_def, RCLike.sqrt_I, Matrix.PosDef.kronecker, OrthogonalFamily.range_linearIsometry, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, Submodule.ker_orthogonalProjection, locallyIntegrableOn_mul_sum_Icc, 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, RCLike.re_eq_ofReal_of_isSelfAdjoint, 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.inner_eq, Submodule.IsOrtho.disjoint, norm_cfc_le, SchwartzMap.compCLM_apply, EuclideanGeometry.orthogonalProjection_orthogonalProjection, RCLike.norm_nnratCast, toMatrix_innerSL_apply, OrthonormalBasis.equiv_apply_basis, ClosedSubmodule.sInf_orthogonal, Matrix.PosSemidef.re_dotProduct_nonneg, Orientation.volumeForm_robust', EuclideanGeometry.orthogonalProjection_vsub_mem_direction, 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, IsSelfAdjoint.conj_starProjection, 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, Orthonormal.inner_finsupp_eq_zero, ContinuousLinearMap.spectralRadius_eq_nnnorm, EuclideanGeometry.hasFDerivAt_inversion, RCLike.ofNat_im, torusIntegral_smul, range_cfcHom_le, Continuous.cfcₙ', LinearMap.coe_isometryOfOrthonormal, OrthonormalBasis.span_apply, inner_sub_right, ClosedSubmodule.orthogonal_toSubmodule_eq, EuclideanGeometry.vsub_orthogonalProjection_mem_direction, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, spectrum.exp_mem_exp, ContinuousLinearMap.isPositive_iff, TensorProduct.mapIsometry_apply, InnerProductSpace.Core.inner_add_right, MeasureTheory.charFun_map_mul_comp, Matrix.IsHermitian.cfcAux_id, ContinuousOn.cfc', cfcₙAux_mem_range_inr, RCLike.inv_pos, ContinuousMap.adjoin_id_eq_span_one_add, IsSelfAdjoint.hasEigenvector_of_isMinOn, 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, HasFDerivAt.curveIntegral_segment_source', AffineSubspace.signedInfDist_singleton, RCLike.norm_sq_eq_def, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Matrix.IsHermitian.coe_re_diag, LinearIsometryEquiv.smul_trans, SchwartzMap.fderivCLM_fourier_eq, MeasureTheory.L2.mem_L1_inner, SchwartzMap.derivCLM_apply, TensorProduct.toLinearMap_mapIsometry, RCLike.map_nonneg_iff, RCLike.ratCast_im, LinearMap.singularValues_finrank_range_self, Unitary.inner_map_map, RCLike.I_mul_re, TensorProduct.enorm_map, uniformEquicontinuous_birkhoffAverage, LinearMap.IsSymmetric.det_eq_prod_eigenvalues, RCLike.wInner_neg_left, LinearMap.IsSymmetric.id, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, inner_gradientWithin_left, RCLike.conj_eq_iff_im, ContinuousLinearMap.adjoint_comp, HasCompactSupport.hasDerivAt_convolution_left, WithLp.volume_preserving_ofLp, 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, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', Module.Basis.coe_toOrthonormalBasis, MeasureTheory.condExpInd_smul', InnerProductSpace.Core.inner_self_of_eq_zero, ContinuousAt.cfcₙ, RCLike.mul_self_norm, TensorProduct.congrIsometry_symm, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, Matrix.IsHermitian.roots_charpoly_eq_eigenvalues₀, LinearMap.IsSymmetric.orthogonal_range, MeasureTheory.L2.integrable_inner, LinearPMap.adjointDomainMkCLMExtend_apply, nnnorm_cfcₙ_le_iff, dimH_orthogonalProjection_le, MeasureTheory.charFun_map_mul, inner_mul_symm_re_eq_norm, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_vsub_mem_and_norm_sq, curveIntegral_fun_sub, Submodule.re_inner_starProjection_nonneg, ContDiffWithinAt.inner, Submodule.adjoint_orthogonalProjection, MeasureTheory.MemLp.im, EuclideanGeometry.reflection_apply', OrthogonalFamily.sum_projection_of_mem_iSup, hasFDerivWithinAt_iff_hasGradientWithinAt, CurveIntegrable.smul, LinearMap.IsSymmetric.trace_eq_sum_eigenvalues, Submodule.id_eq_sum_starProjection_self_orthogonalComplement, Submodule.isOrtho_bot_right, LinearMap.adjoint_comp, EuclideanGeometry.oangle_self_orthogonalProjection, StrongDual.extendRCLike_apply, RCLike.norm_coe_norm, LinearMap.IsPositive.inner_nonneg_right, Matrix.toEuclideanLin_apply_piLp_toLp, RCLike.realRingEquiv_apply, InnerProductSpace.inner_gramSchmidtOrthonormalBasis_eq_zero, InnerProductSpace.span_gramSchmidt_Iio, hasFDerivAt_integral_of_dominated_of_fderiv_le, LinearIsometryEquiv.lTensor_def, RCLike.mul_im, ContDiff.hasStrictDerivAt, Submodule.starProjection_orthogonal_apply_eq_zero, nnnorm_cfc_lt_iff, 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, integrableOn_mul_sum_Icc, 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, Convex.exists_forall_hasFDerivWithinAt_of_hasFDerivWithinAt_symmetric, Submodule.orthogonal_le, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, LinearMap.bound_of_sphere_bound, ContinuousLinearMap.abs_rayleighQuotient_le_of_norm_mem_resolventSet, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular, RKHS.kernel_inner, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, intervalIntegral.integral_smul_const, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, HilbertBasis.summable_inner_mul_inner, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_invariant, 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, continuousOn_cfcₙ_setProd, ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_pow, volume_euclideanSpace_eq_dirac, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, LinearMap.isSymmetric_adjoint_comp_self, RCLike.wInner_one_const_left, lipschitzWith_of_nnnorm_deriv_le, ProperCone.hyperplane_separation_of_notMem, OrthonormalBasis.inner_eq_one, RCLike.ofReal_mul_neg_iff, Module.End.mem_invtSubmodule_adjoint_iff, orthogonalFamily_iff_pairwise, RCLike.re_ofReal_pow, LDL.diag_eq_lowerInv_conj, re_inner_self_nonpos, RCLike.norm_sq_re_add_conj, LinearMap.IsSymmetric.im_inner_apply_self, Submodule.inf_orthogonal_eq_bot, Matrix.IsHermitian.eigenvalues_mem_spectrum_real, Submodule.isOrtho_sSup_left, LinearMap.range_self_comp_adjoint, innerₛₗ_apply, deriv_inner_apply, RCLike.im_to_complex, Affine.Simplex.orthogonalProjectionSpan_reindex, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, riesz_lemma_of_lt_one, InnerProductSpace.Core.cauchy_schwarz_aux', ContinuousLinearMap.tendsto_birkhoffAverage_orthogonalProjection, InnerProductSpace.isIdempotentElem_rankOne_self_iff, Submodule.norm_starProjection_apply, IsSelfAdjoint.hasEigenvector_of_isLocalExtrOn, 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, Submodule.reflection_mem_subspace_eq_self, Orthonormal.mapLinearIsometryEquiv, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, IsCoercive.ker_eq_bot, InnerProductSpaceable.innerProp, OrthogonalFamily.independent, 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, LinearMap.IsSymmetric.roots_charpoly_eq_eigenvalues, IsHilbertSum.linearIsometryEquiv_symm_apply_single, IsSelfAdjoint.adjoint_conj, UnitAddTorus.mFourierBasis_repr, ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero, HasDerivAt.inner, LinearIsometryEquiv.toLinearIsometry_rTensor, Submodule.starProjection_minimal, EuclideanGeometry.orthogonalProjection_linear, OrthonormalBasis.sum_rankOne_eq_id, norm_apply_le_norm_cfc, fourierBasis_repr, Submodule.orthogonalProjection_orthogonal_apply_eq_zero, AffineSubspace.signedInfDist_def, Submodule.starProjection_mem_subspace_eq_self, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, InnerProductSpace.gramSchmidt_linearIndependent, MeasureTheory.taylorWithinEval_charFun_two_zero', AnalyticOn.hasFPowerSeriesOnBall, MeasureTheory.integral_fintype_prod_volume_eq_prod, RCLike.mul_re, TensorProduct.norm_tmul, LinearMap.isPositive_iff, integrable_cfc, 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, StrongDual.im_extendRCLike_apply, RCLike.conjAe_coe, continuous_cfcₙAux, 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.toContinuousLinearMap_complexLinearIsometryEquiv, 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, tendsto_sum_mul_atTop_nhds_one_sub_integral, Submodule.bot_orthogonal_eq_top, signedDist_apply, UniformSpace.Completion.inner_coe, 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, EuclideanGeometry.angle_self_orthogonalProjection, LinearMap.IsSymmetric.charpoly_eq, EuclideanSpace.inner_toLp_toLp, Orthonormal.comp_linearIsometryEquiv, RCLike.im_ofReal_mul, Submodule.map_orthogonal, Matrix.l2_opNNNorm_diagonal, inner_self_re_eq_norm, HasFDerivAt.hasGradientAt, ordinaryHypergeometric_radius_top_of_neg_nat₁, Matrix.instCStarRing, RCLike.normSq_eq_zero, NormedField.denselyOrdered_range_nnnorm, Matrix.IsHermitian.eigenvectorUnitary_transpose_apply, AffineSubspace.direction_perpBisector, RCLike.instOrderClosedTopology, LinearIsometryEquiv.toMatrix_mem_unitaryGroup, LinearMap.IsSymmetric.conj_inner_sym, Filter.Tendsto.inner, RCLike.geometric_hahn_banach_of_nonempty_interior, LinearMap.IsSymmetric.LinearMap.IsSymmetric.directSum_isInternal_of_pairwise_commute, 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, SchwartzMap.fourierMultiplierCLM_fourierMultiplierCLM_apply, EuclideanGeometry.orthogonalProjection_eq_self_iff, ContinuousLinearMap.IsIdempotentElem.isSelfAdjoint_iff_isStarNormal, RCLike.re_extendTo𝕜ₗ, RCLike.im_eq_complex_im, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, Matrix.IsHermitian.posDef_iff_eigenvalues_pos, EuclideanGeometry.reflection_subtype, Submodule.orthogonal_le_orthogonal_iff, Submodule.orthogonal_le_iff_orthogonal_le, Orientation.finOrthonormalBasis_orientation, RCLike.ofReal_im_ax, ContinuousLinearEquiv.coord_norm', cfc_setIntegral', ContinuousLinearMap.IsStarProjection.isSymmetricProjection, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, ContinuousLinearMap.isPositive_zero, cfcₙ_setIntegral', LinearMap.support_singularValues, Submodule.snd_orthogonalDecomposition_apply, cfcₙ_apply_mem_elemental, InnerProductSpace.Core.inner_self_im, Matrix.IsHermitian.eigenvalues_eq_zero_iff, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, ContinuousLinearMap.integral_comp_id_comm, hasStrictFDerivAt_exp_smul_const, StrongDual.re_extendRCLike_apply, SchwartzMap.fourier_convolution_apply, RCLike.instNormSMulClassInt, Submodule.starProjection_le_starProjection_iff, ContDiffAt.inner, RCLike.wInner_cWeight_const_right, RCLike.inv_eq_conj, sum_mul_eq_sub_sub_integral_mul', gauge_smul, ContinuousMap.elemental_id_eq_top, ProbabilityTheory.multivariateGaussian_zero_one, 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, norm_apply_le_norm_cfcₙ, innerₛₗ_apply_coe, RCLike.nnnorm_natCast, PiLp.inner_apply, LinearMap.orthogonal_range, Submodule.orthogonalDecomposition_apply, Submodule.isOrtho_self, LinearIsometryEquiv.toLinearIsometry_lTensor, AddChar.wInner_cWeight_eq_boole, IsContDiffImplicitAt.implicitFunction_def, LinearMap.singularValues_of_lt, EuclideanSpace.restrict₂_apply, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, ProbabilityTheory.iIndepFun.integral_fun_prod_comp, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, range_cfcHom, RCLike.iInter_halfSpaces_eq', 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, sum_mul_eq_sub_integral_mul, norm_eq_sqrt_re_inner, RCLike.iInter_halfSpaces_eq, Matrix.IsHermitian.rank_eq_card_non_zero_eigs, inner_self_nonneg, HasFDerivWithinAt.curveIntegral_segment_source', nnnorm_cfcHom, RCLike.normSq_to_complex, integrableOn_cfc, OrthonormalBasis.orientation_adjustToOrientation, RCLike.continuous_im, continuousOn_cfc, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, LinearMap.IsSymmetric.re_trace_eq_sum_eigenvalues, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, Convex.hasFDerivWithinAt_curveIntegral_segment_of_hasFDerivWithinAt_symmetric, RCLike.normSq_add, MeasureTheory.eLpNorm_condExpL2_le, RCLike.div_re, ProbabilityTheory.iIndepFun.integral_prod_comp, setIntegral_re_add_im, 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, LinearMap.isometryOfOrthonormal_toLinearMap, 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, ClosedSubmodule.symplComp_sup, Matrix.l2_opNNNorm_conjTranspose_mul_self, Submodule.instHasOrthogonalProjectionTop, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, IsOpen.isOpen_inter_preimage_of_deriv_eq_zero, LinearIsometry.toLinearMap_lTensor, EuclideanGeometry.orthogonalProjection_mem_orthogonal, coe_innerₛₗ_apply, ContinuousWithinAt.inner, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn, curveIntegral_add, EuclideanSpace.euclideanHausdorffMeasure_eq_volume, HasGradientAt.hasDerivAt, TensorProduct.nndist_tmul_le, hasDerivAt_exp_zero, MeasureTheory.charFun_map_eq_charFunDual_smul, InnerProductSpace.continuousLinearMapOfBilin_apply, hasGradientWithinAt_iff_isLittleO, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, 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, ContinuousLinearMap.rayleighQuotient_neg_apply, MeasureTheory.intervalIntegrable_charFun, ContinuousMap.idealOf_compl_singleton_isMaximal, gaugeSeminorm_lt_one_of_isOpen, MeasureTheory.lpMeas.ae_fin_strongly_measurable', gaugeSeminormFamily_ball, curveIntegral_sub, cfcₙL_integrable, RCLike.sqrt_normSq_eq_norm, Matrix.IsHermitian.charpoly_eq, RCLike.conj_ofNat, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, HasGradientAt.fderiv_apply, SchwartzMap.instFourierInvSMul, TemperedDistribution.derivCLM_apply_apply, OrthonormalBasis.tensorProduct_apply, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, integral_re, ContinuousLinearMap.finite_dimensional_eigenspace, RCLike.tendsto_ofReal_atBot_cobounded, LinearPMap.mem_adjoint_domain_of_exists, ContinuousLinearMap.exists_nnnorm_eq_one_lt_apply_of_lt_opNNNorm, Complex.isometryOfOrthonormal_symm_apply, Matrix.instStarOrderedRing, RCLike.normSq_apply, LinearMap.self_comp_adjoint_injective_iff, CurveIntegrable.sub, PreInnerProductSpace.Core.add_left, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, RCLike.ofRealCLM_coe, intervalIntegral.integral_unitInterval_deriv_eq_sub, inner_gradient_left, TensorProduct.congrIsometry_apply, Submodule.starProjection_comp_starProjection_of_le, 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, Matrix.IsHermitian.conjStarAlgAut_star_eigenvectorUnitary, HasStrictFDerivAt.inner, ContinuousWithinAt.cfc, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, re_inner_le_norm, LinearMap.IsSymmetric.iSup_eigenspace_inf_eigenspace_of_commute, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, EuclideanGeometry.orthogonalProjection_sup_of_orthogonalProjection_eq, LinearMap.toMatrix_adjoint, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Matrix.IsStrictlyPositive.posDef, 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, sum_mul_eq_sub_integral_mul₀, 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, Matrix.IsHermitian.mulVec_eigenvectorBasis, ClosedSubmodule.orthogonal_closure', Matrix.l2_opNorm_def, OrthogonalFamily.linearIsometry_apply, RCLike.wInner_nonneg, Matrix.toEuclideanLin_toLp, nnnorm_cfcₙ_le, OrthogonalFamily.pairwise, LinearMap.IsSymmetric.toMatrix_eigenvectorBasis, integral_re_add_im, continuous_stereoInvFun, Submodule.orthogonalProjection_eq_zero_iff, MeasureTheory.condExpL1CLM_smul, Matrix.l2_opNorm_mul, Subalgebra.SeparatesPoints.rclike_to_real, norm_innerSL_le, norm_inner_symm, OrthonormalBasis.measurePreserving_measurableEquiv, LinearEquiv.image_closure_of_convex', ContinuousLinearMap.IsPositive.isSelfAdjoint, Submodule.orthogonalProjection_starProjection_of_le, 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, ContinuousLinearMap.IsIdempotentElem.hasOrthogonalProjection_range, SchwartzMap.integral_smul_deriv_right_eq_neg_left, LinearMap.posSemidef_toMatrix_iff, Submodule.starProjection_apply_eq_zero_iff, SchwartzMap.fourier_convolution, RCLike.hasSum_im, ContinuousLinearMap.orthogonal_mem_invtSubmodule, 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', Matrix.PosDef.det_pos, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, InnerProductSpace.conj_inner_symm, RCLike.I_im', Orthonormal.tmul, Submodule.IsCompl.projection_isSymmetric_iff, MeasureTheory.lpMeas.ae_eq_zero_of_forall_setIntegral_eq_zero, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, LinearMap.tendsto_birkhoffAverage_of_ker_subset_closure, LinearMap.isPositive_one, ClosedSubmodule.symplComp_inf, RCLike.re_eq_self_of_le, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, Affine.Simplex.affineSpan_pair_eq_altitude_iff, RKHS.posSemidef_kernel, range_cfc, sum_mul_eq_sub_sub_integral_mul, RCLike.wInner_add_right, Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, DifferentiableWithinAt.inner, Submodule.isOrtho_bot_left, Submodule.exists_norm_eq_iInf_of_complete_subspace, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, LinearPMap.adjointAux_inner, 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, LinearMap.IsSymmetric.hasEigenvector_eigenvectorBasis, RCLike.I_mul_I_of_nonzero, RCLike.I_mul_I_ax, SchwartzMap.toZeroAtInftyCLM_apply, summable_mul_of_bigO_atTop', LinearMap.IsSymmetric.coe_re_inner_apply_self, RCLike.span_one_I, OrthogonalFamily.summable_iff_norm_sq_summable, HasGradientAtFilter.hasDerivAtFilter, CurveIntegrable.add, Convex.lipschitzOnWith_of_nnnorm_deriv_le, RCLike.geometric_hahn_banach_closed_compact, MeasureTheory.eLpNorm_conj, inner_gradient_right, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, DFinsupp.sum_inner, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, Orthonormal.equiv_apply, Submodule.orthogonalProjection_norm_le, Matrix.PosDef.posDef_sqrt, norm_cfcₙ_le_iff, LinearMap.ker_le_ker_of_range, EuclideanSpace.volume_closedBall, NormedField.exists_lt_norm_lt, RCLike.intCast_im, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, SchwartzMap.fourierMultiplierCLM_smul, finrank_euclideanSpace_fin, Submodule.orthogonalProjection_orthogonal, inner_conj_symm, RCLike.norm_of_nonneg', LinearIsometryEquiv.rTensor_def, MeasureTheory.norm_condExpL2_le_one, AddChar.inv_apply_eq_conj, OrthonormalBasis.repr_reindex, MeasureTheory.condExpL2_comp_continuousLinearMap, inner_im_symm, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, InnerProductSpace.symm_toEuclideanLin_rankOne, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, MeasureTheory.memLp_re_im_iff, ContinuousLinearMap.adjoint_innerSL_apply, EuclideanGeometry.reflection_mem_of_le_of_mem, gaugeSeminorm_toFun, Submodule.IsOrtho.comap, OrthogonalFamily.inner_right_fintype, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, 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, LinearPMap.adjoint_apply_of_dense, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, RCLike.re_tsum, ContinuousLinearMap.IsPositive.re_inner_nonneg_right, RCLike.wInner_cWeight_eq_smul_wInner_one, ContinuousMap.idealOfSet_isMaximal_iff, ContinuousLinearMap.integral_id_map, RCLike.sqrt_neg_of_nonneg, MeasureTheory.condExpL2_const_inner, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, curveIntegrable_restrictScalars_iff, ContDiffAt.hasStrictDerivAt', LinearMap.IsSymmetric.intCast, IsCoercive.isClosed_range, RCLike.realLinearIsometryEquiv_apply, InnerProductSpace.Core.inner_zero_left, TensorProduct.ext_iff_inner_right_threefold, curveIntegralFun_def, Matrix.tracePositiveLinearMap_apply, InnerProductSpaceable.inner_.conj_symm, ContinuousLinearMap.intervalIntegral_comp_comm, inner_eq_ofReal_norm_sq_right_iff, RCLike.tendsto_ofReal_atTop_cobounded, CurveIntegrable.neg, EuclideanGeometry.dist_set_eq_iff_dist_orthogonalProjection_eq, 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, LinearMap.IsSymmetric.sort_roots_charpoly_eq_eigenvalues, OrthonormalBasis.tensorProduct_repr_tmul_apply, RCLike.conj_neg_I, ConvexOn.univ_sSup_of_nat_affine_eq, cfc_setIntegral, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, RCLike.inv_I, TensorProduct.assocIsometry_symm_apply, Submodule.starProjection_tendsto_closure_iSup, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, InnerProductSpace.Core.inner_conj_symm, InnerProductSpace.gramSchmidt_mem_span, MeasureTheory.Measure.euclideanHausdorffMeasure_def, MeasureTheory.MemLp.ofReal, Submodule.reflection_mem_subspace_orthogonalComplement_eq_neg, SchwartzMap.laplacian_eq_fourierMultiplierCLM, 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, ContinuousMap.idealOpensGI_choice, LinearMap.IsPositive.toLinearMap_symm, TensorProduct.toLinearMap_mapInclIsometry, OrthogonalFamily.inner_right_dfinsupp, LinearPMap.adjoint_graph_eq_graph_adjoint, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', orthonormal_span, norm_cfc_lt, OrthogonalFamily.projection_directSum_coeAddHom, 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, integral_im, cfc_integral', MeasureTheory.condExpL2_indicator_nonneg, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, RCLike.im_le_norm, ContinuousLinearMap.opNorm_le_of_re_inner_le, fderiv_inner_apply, norm_inner_le_norm, inner_matrix_col_col, DirectSum.IsInternal.subordinateOrthonormalBasisIndex_def, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, Affine.Simplex.altitude_def, RCLike.div_I, RCLike.normSq_conj, OrthonormalBasis.inner_eq_ite, ContinuousLinearMap.orthogonal_ker, ContinuousLinearMap.LinearMap.IsSymmetricProjection.isStarProjection, RCLike.complexLinearIsometryEquiv_apply, InnerProductSpace.norm_rankOne, ProbabilityTheory.IndepFun.integral_mul_eq_mul_integral, cfc_mem, hasFDerivAt_integral_of_dominated_loc_of_lip, Convex.lipschitzOnWith_of_nnnorm_derivWithin_le, Submodule.isHilbertSumOrthogonal, RCLike.inv_re, RCLike.ofReal_ratCast, MeasureTheory.taylorWithinEval_charFun_zero, LinearMap.singularValues_eq_zero_iff_le_finrank_range, real_inner_I_smul_self, LinearIsometry.lTensor_def, Matrix.PosDef.re_dotProduct_pos, Orthonormal.inner_right_sum, ContinuousLinearMap.antilipschitz_of_forall_le_inner_map, 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, LinearMap.IsSymmetric.orthogonalComplement_mem_invtSubmodule, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, curveIntegralFun_zero, MeasureTheory.Integrable.im, LinearMap.IsSymmetric.eigenvalues_eq_eigenvalues_iff, Submodule.orthogonalProjectionFn_mem, Orthonormal.inner_eq_zero, LinearMap.IsPositive.re_inner_nonneg_left, RCLike.zero_im, ContinuousLinearMapWOT.ext_inner_iff, cfcₙ_integral', Matrix.permMatrix_l2_opNorm_eq, RCLike.im_eq_zero, norm_inner_div_norm_mul_norm_eq_one_iff, MeasureTheory.lpMeas.aestronglyMeasurable, RCLike.geometric_hahn_banach_open_point, Affine.Triangle.dist_orthogonalProjectionSpan_faceOpposite_eq_iff_two_zsmul_oangle_eq, Submodule.mem_iff_norm_starProjection, LinearMap.IsSymmetric.eigenvectorBasis_def, IsCoercive.antilipschitz, LinearMap.card_support_singularValues, InnerProductSpace.gramSchmidt_inv_triangular, LinearMap.IsSymmetric.apply_clm, Orthonormal.comp_linearIsometry, hasStrictFDerivAt_euclidean, unitary.linearIsometryEquiv_coe_apply, HilbertBasis.finite_spans_dense, nnnorm_cfcₙ_lt, LinearMap.IsSymmetric.mul_of_commute, RCLike.ofReal_lt_zero, LinearIsometry.adjoint_comp_self
|
| Name | Category | Theorems |
|---|
ofNormNeOne 📖 | CompOp | — |
toNormedField 📖 | CompOp | 6233 mathmath: contDiffAt_snd, withSeminorms_iff_mem_nhds_isVonNBounded, Polynomial.fderiv, logDeriv_tprod_eq_tsum, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, LinearMap.det_toContinuousLinearMap, HasDerivAt.fun_neg, mfderiv_sumSwap, ValueDistribution.logCounting_zero, TangentBundle.continuousLinearMapAt_model_space, hasFDerivWithinAt_pi'', hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, ContinuousLinearEquiv.antilipschitz, TangentBundle.tangentMap_tangentBundle_pure, VectorBundleCore.toFiberBundleCore_coordChange, ContMDiffAt.coordChangeL, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, MeromorphicOn.deriv, ContinuousOn.clm_apply, contMDiff_prod_assoc, mfderiv_prod_eq_add, Real.hasDerivAt_arccos, Real.hasDerivAt_fourier, Bundle.Trivialization.symm_continuousLinearEquivAt_eq, PiTensorProduct.mapL_id, HasStrictFDerivAt.map_implicitFunctionOfComplemented_eq, closure_diff_intrinsicFrontier, DiffContOnCl.smul, IsKrasner.of_completeSpace_of_normal, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Polynomial.differentiableWithinAt, MeasureTheory.convolution_flip, ContDiffAt.csin, fun_meromorphicOrderAt_pow_id_sub_const, HasStrictDerivAt.fun_pow', DifferentiableOn.zpow, FormalMultilinearSeries.comp_rightInv_aux1, ContinuousLinearMap.hasFPowerSeriesOnBall, tendsto_zero_iff_meromorphicOrderAt_pos, AnalyticAt.tendsto_mul_logDeriv_simple_zero, MDifferentiable.coordChangeL, Differentiable.const_sub, IsBoundedLinearMap.differentiableAt, hasStrictFDerivAt_const_add_iff, Unitization.isometry_inr, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, LinearMap.mkContinuous₂_norm_le', FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_changeOrigin, hasStrictFDerivAt_apply, differentiableWithinAt_finCons', HasDerivWithinAt.clog_real, ContinuousMultilinearMap.norm_mkPiRing, differentiableAt_comp_const_add, fderiv_snd, LinearIsometryEquiv.hasStrictFDerivAt, Bundle.Trivial.continuousLinearEquivAt_trivialization, ContinuousLinearMap.derivWithin_of_bilinear, DifferentiableWithinAt.const_sub, HasDerivWithinAt.clm_comp, NormedSpace.isBounded_polar_of_mem_nhds_zero, Prod.instLieGroup, deriv_sub_const_fun, SchauderBasis.norm_proj_le_nnnormProjBound, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, meromorphicNFOn_mul_iff_right_of_analyticOnNhd, differentiableAt_comp_neg, Real.iteratedDerivWithin_cos_Ioo, MeromorphicAt.fun_iterated_deriv, hasDerivWithinAt_Iio_iff_Iic, HasStrictFDerivAt.fun_mul', HasDerivAt.ccos, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, LinearMap.mkContinuous₂_apply, ContinuousLinearMap.le_of_opNorm_le_of_le, fderivWithin_ofNat, AffineMap.hasStrictDerivAt_lineMap, HasMFDerivAt.mul, extDerivWithin_fun_add, Bundle.ContMDiffRiemannianMetric.contMDiff, Bundle.mdifferentiableAt_proj, Submodule.coe_continuous_linearProjOfClosedCompl', LinearIsometryEquiv.comp_fderiv, contDiff_fst, WithSeminorms.banach_steinhaus, ContinuousLinearMap.isBigO_comp, ContinuousAlternatingMap.opNorm_prod, HasDerivAt.const_rpow, LeftInvariantDerivation.lift_zero, contDiffAt_prod', ContinuousLinearMap.mulLeftRight_isBoundedBilinear, logDeriv_const, HasFDerivWithinAt.continuousMultilinearMap_apply, Filter.EventuallyEq.derivWithin_eq_of_nhds, contDiffOn_nat_succ_iff_contDiffOn_one_iteratedDerivWithin, Bundle.Trivialization.symm_continuousLinearEquivAt_eq', LinearMap.bound_of_shell, MDifferentiableOn.clm_postcomp, mdifferentiableAt_sub_section, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, ContMDiffMul.prod, Complex.meromorphicOrderAt_canonicalFactor, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, Meromorphic.mul, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_fst, ContinuousLinearMap.continuous₂, fun_meromorphicOrderAt_div, fderivWithin_comp_derivWithin_of_eq, HasDerivAt.const_sub, ContinuousLinearEquiv.differentiable, ContinuousLinearMap.opNorm_prod, hasDerivWithinAt_add_const_iff, ContDiffOn.cos, FormalMultilinearSeries.comp_partialSum, HasFTaylorSeriesUpTo.differentiable, DoubleCentralizer.star_snd, ContinuousLinearMap.norm_inr_le_one, HasDerivAtFilter.sum, contDiff_prod_iff, differentiableOn_star_iff, derivWithin_zero_of_frequently_mem, Continuous.clm_comp_const, HasStrictDerivAt.to_localInverse, HasMFDerivAt.add, Asymptotics.IsBigOTVS.congr', WithSeminorms.image_isVonNBounded_iff_seminorm_bounded, MDifferentiableOn.finsum_section_of_locallyFinite, AnalyticOn.exists_hasFTaylorSeriesUpToOn, Real.iteratedDeriv_odd_cos, HasFDerivAt.const_add, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, LinearIsometryEquiv.analyticOnNhd, QuadraticMap.lineDeriv, hasStrictDerivAt_intCast, measurable_lineDeriv, LeftInvariantDerivation.leibniz, MeasureTheory.convolution_eq_right', hasStrictFDerivAt_exp_of_mem_ball, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, ContinuousLinearMap.opNorm_le_of_unit_norm, HasStrictDerivAt.rpow, smooth_barycentric_coord, PiLp.contDiff_toLp, ContinuousMultilinearMap.cpolynomialOn, LinearIsometry.norm_compContinuousAlternatingMap, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, UniformConvergenceCLM.continuous_of_continuous_uncurry, AnalyticOn.aeval_polynomial, fun_iteratedFDeriv_add_apply, ContDiffOn.rpow_const_of_le, HasLineDerivWithinAt.mono_of_mem_nhdsWithin, ModelWithCorners.range_prod, Real.contDiffOn_log, extDeriv_constOfIsEmpty, Bundle.contMDiffOn_zeroSection, ContinuousLinearMap.exists_preimage_norm_le, Convex.norm_image_sub_le_of_norm_fderivWithin_le', Bundle.Trivial.symmL_trivialization, SchauderBasis.RankOneDecomposition.proj_tendsto, derivWithin_smul, Differentiable.fun_div, Complex.iteratedDeriv_even_cosh, hasStrictFDerivAt_list_prod_finRange', Finset.analyticOnNhd_prod, DifferentiableOn.fun_add, LinearIsometry.nnnorm_toContinuousLinearMap, ContDiff.fderiv_succ, fderiv_intCast, Asymptotics.IsThetaTVS.trans_isBigOTVS, ContMDiffMap.coeFnAlgHom_apply, Function.FactorizedRational.divisor, mfderivWithin_range_extChartAt_symm, MDifferentiableAt.prod, MDifferentiableAt.clm_bundle_apply, ContDiffAt.implicitFunction_def, NormedSpace.expSeries_summable_of_mem_ball, AnalyticOn.domDomCongr_iteratedFDerivWithin, hasDerivAt_sqrt_mul_log, Filter.EventuallyEq.fderivWithin, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, ContinuousAffineMap.fderiv, StrongDual.norm_extendRCLike, 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, MeromorphicAt.analyticAt, ContinuousAlternatingMap.isEmbedding_restrictScalars, ContinuousAlternatingMap.norm_constOfIsEmpty, IsBoundedBilinearMap.hasFDerivAt, fderivWithin_comp_add_left, HasFDerivWithinAt.pow, ContinuousLinearMap.sSup_unit_ball_eq_norm, Convex.convex_isRCLikeNormedField, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, ContDiff.div_const, WeakDual.isCompact_polar, hasFDerivWithinAt_const, MeromorphicOn.divisor_fun_smul, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, HasDerivWithinAt.div_const, hasFDerivAt_one, Real.hasDerivAt_sigmoid, taylorWithinEval_hasDerivAt_Ioo, meromorphicOrderAt_const_ofNat, Real.analyticOn_cos, ContDiffMapSupportedIn.seminorm_monoLM_eq, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, fderivWithin_fun_smul, Polynomial.derivWithin_aeval, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, ContinuousLinearMap.analyticWithinAt, ContinuousAffineMap.differentiableWithinAt, HasDerivWithinAt.congr_mono, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, complexOfReal_hasDerivWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, HasFDerivWithinAt.add, Complex.analyticAt_cosh, uniformCauchySeqOn_ball_of_deriv, MDifferentiableAt.mfderiv_prod, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, ContinuousMultilinearMap.le_mul_prod_of_opNorm_le_of_le, MeasureTheory.contDiffOn_convolution_left_with_param, Real.contDiffAt_arcosh, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, hasDerivAt_integral_of_dominated_loc_of_lip, hasFDerivAtFilter_pi, differentiableAt_zpow, hasFDerivAt_multiset_prod, contDiffOn_piLp', MDifferentiableAt.cle_arrowCongr, ContinuousLinearMap.frontier_preimage, Manifold.IsImmersionAt.map_target_subset_target, DifferentiableAt.finCons, ContinuousLinearMap.sSup_unitClosedBall_eq_nnnorm, derivWithin_id', iteratedDeriv_succ, mdifferentiableWithinAt_totalSpace, measurable_deriv_with_param, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, hasFTaylorSeriesUpToOn_top_iff_right, contMDiffWithinAt_vectorSpace_iff_contDiffWithinAt, DifferentiableAt.mul, smoothSheafCommRing.nonunits_stalk, Differentiable.fun_sub_iff_right, MeasureTheory.convolution_mul, fderivWithin_extChartAt_comp_extChartAt_symm_range, DifferentiableOn.restrictScalars, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, ContMDiffOn.prodMk, HasFPowerSeriesWithinOnBall.hasSum_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, MDifferentiableWithinAt.differentiableWithinAt_mpullbackWithin_vectorField, intervalIntegral.integral_hasDerivWithinAt_right, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, ContDiff.iteratedFDeriv_right, AnalyticAtWithin.compContinuousLinearMap, FormalMultilinearSeries.radius_pi_eq_iInf, ContinuousLinearMap.norm_inl_le_one, iteratedFDeriv_sum_apply, analyticWithinAt_snd, ContinuousLinearEquiv.contDiff_comp_iff, AlternatingMap.continuous_of_bound, SchwartzMap.pairing_apply_apply, contDiff_prodAssoc_symm, tangentMapWithin_prodSnd, norm_iteratedFDerivWithin_smul_le, ContinuousLinearMap.opNorm_le_bound', ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, ContinuousMultilinearMap.norm_map_snoc_le, LineDifferentiableWithinAt.smul, MeasureTheory.Measure.MapLinearEquiv.isAddHaarMeasure, ContMDiffOn.mlieBracketWithin_vectorField, Differentiable.clm_comp, Meromorphic.fun_inv, ImplicitFunctionData.isInvertible_fderiv_prodFun, derivWithin_mul_const, iteratedFDerivWithin_eventually_congr_set, ApproximatesLinearOn.lipschitz, Real.analyticOnNhd_sin, tendsto_cobounded_iff_meromorphicOrderAt_neg, HasDerivWithinAt.eventually_ne, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, logDeriv_comp, mdifferentiableOn_iff, StrongDual.polarSubmodule_eq_setOf, ContinuousLinearMap.isBigOWith_sub, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, HasStrictDerivAt.pow, ContinuousLinearMap.isUniformEmbedding_restrictScalars, ContMDiffWithinAt.mlieBracketWithin_vectorField, DifferentiableAt.div, ContDiffWithinAt.cexp, hasDerivWithinAt_taylorWithinEval, Differentiable.continuousMultilinear_apply_const, FormalMultilinearSeries.changeOriginSeriesTerm_apply, DifferentiableWithinAt.finCons, Meromorphic.deriv, Asymptotics.isLittleOTVS_one, norm_iteratedFDerivWithin_one, HasFTaylorSeriesUpTo.cont, ContDiffAt.clm_apply, ImplicitFunctionData.isCompl_ker, HasDerivAt.hasDerivWithinAt, ContinuousLinearMap.hasDerivAtFilter, HasFPowerSeriesAt.locally_ne_zero, fderivWithin_csinh, DoubleCentralizer.intCast_snd, mdifferentiableWithinAt_iff_of_mem_maximalAtlas, MeasureTheory.L1.norm_setToL1_le, HasDerivAtFilter.comp_hasFDerivAtFilter, MeromorphicAt.finsum, DoubleCentralizer.range_toProdMulOpposite, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, HasDerivWithinAt.fun_div, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, differentiableWithinAt_pi'', DifferentiableAt.fun_inv, mdifferentiableAt_iff_localFrame_coeff, VectorField.fderiv_apply_lieBracket, Differentiable.add_iff_right, HasFDerivWithinAt.of_local_left_inverse, ContinuousLinearMap.opNorm_ext, IsCovariantDerivativeOn.difference_apply, OpenPartialHomeomorph.hasDerivAt_symm, AnalyticOnNhd.compContinuousLinearMap, WeakDual.isClosed_image_polar_of_mem_nhds, derivWithin_const, fderiv_id, AnalyticWithinAt.fun_zpow, Bundle.Trivialization.contMDiffOn_section_baseSet_iff, differentiableWithinAt_neg_iff, Module.Basis.constrL_basis, unique_topology_of_t2, HasDerivAt.fun_finset_prod, OpenPartialHomeomorph.hasStrictFDerivAt_symm, ContinuousLinearMap.comp_memLp, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, Real.fderiv_fourierChar_neg_bilinear_right_apply, ContMDiffCovariantDerivativeOn.affine_combination, SchauderBasis.tendsto_proj, LinearIsometryEquiv.comp_fderivWithin, norm_iteratedFDeriv_comp_le', banach_steinhaus_iSup_nnnorm, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', SchauderBasis.proj_zero, intervalIntegral.fderiv_integral_of_tendsto_ae, ContDiffAt.fderiv_right_succ, ContDiffBumpBase.smooth, ImplicitFunctionData.hasStrictFDerivAt_leftFun, NormedSpace.isBounded_iff_subset_smul_ball, deriv_fun_finset_prod, deriv_eq, Real.analyticOn_cosh, HasFDerivWithinAt.clm_apply, DoubleCentralizer.natCast_fst, hasFPowerSeriesOnBall_pi_iff, analyticOnNhd_inverse, DifferentiableAt.prodMap, AnalyticOnNhd.iteratedFDeriv_of_isOpen, ContinuousLinearMap.norm_compLp_le, HasFPowerSeriesOnBall.unshift, Continuous.convolution_integrand_fst, MDifferentiableOn.prodMk_space, MDifferentiableOn.smul_const_section, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, continuousOn_dslope, ContinuousLinearEquiv.symm_toDiffeomorph, ContDiffMapSupportedIn.structureMapCLM_apply, iteratedFDerivWithin_succ_eq_comp_right, contDiff_piLp', eventually_enorm_mfderivWithin_symm_extChartAt_lt, ContDiffOn.ccosh, ContinuousAlternatingMap.opNNNorm_pi, HasFPowerSeriesWithinAt.const_smul, tangentMap_snd, iteratedDerivWithin_vcomp_two, SchwartzMap.lineDerivOp_fourier_eq, ValueDistribution.logCounting_zero_mul_le, ContinuousWithinAt.continuousLinearMapCoprod, Complex.analyticOn_sin, DifferentiableOn.sub_const, deriv_comp_const_sub, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, LeftInvariantDerivation.coe_derivation, fderiv_multiset_prod, HasFPowerSeriesWithinOnBall.restrictScalars, NormedSpace.isVonNBounded_iff, Manifold.IsImmersionAt_def, ContinuousLinearEquiv.subsingleton_or_norm_symm_pos, aemeasurable_smul_const, DifferentiableWithinAt.fun_const_smul, ContMDiffWithinAt.sub_section, LinearIsometryEquiv.fderivWithin, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, VectorField.fderiv_apply_lieBracket_of_isSymmSndFDerivAt, HasFTaylorSeriesUpTo.hasFDerivAt, HasFDerivAtFilter.fun_sum, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, LinearMap.continuousLinearMapClassOfFiniteDimensional, norm_iteratedFDerivWithin_clm_apply, hasDerivAt_neg', ContMDiffWithinAt.mfderivWithin_const, HasFDerivAtFilter.sub, Unitization.splitMul_apply, ContMDiffOn.clm_postcomp, Bundle.Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm, differentiable_fun_neg_iff, Manifold.IsImmersionOfComplement.prodMap, Measurable.apply_continuousLinearMap, iteratedDerivWithin_comp_two, DoubleCentralizer.nnnorm_def', deriv_fun_sum, DifferentiableWithinAt.add, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, Asymptotics.IsLittleOTVS.tendsto_div, expNegInvGlue.not_analyticAt_zero, fderivWithin_zero_of_not_accPt, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, dist_iteratedFDerivWithin_one, 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, MeromorphicAt.mul, ContinuousLinearMap.nnnorm_def, Differentiable.fun_smul, 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, HasFDerivWithinAt.prodMap, norm_iteratedFDerivWithin_comp_le_aux, derivWithin_natCast, deriv_fun_pow', MDifferentiableWithinAt.mul, ContDiffOn.cosh, mfderiv_comp, MultilinearMap.mkContinuousMultilinear_apply, ImplicitFunctionData.implicitFunction_hasStrictFDerivAt, HasFDerivWithinAt.hasLineDerivWithinAt, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, analyticWithinAt_pi_iff, StrongDual.norm_extendRCLike_bound, ApproximatesLinearOn.surjOn_closedBall_of_nonlinearRightInverse, ContDiffPointwiseHolderAt.isBigO, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, SchwartzMap.decay', ContinuousAlternatingMap.map_insertNth, FormalMultilinearSeries.derivSeries_coeff_one, Filter.EventuallyEq.lineDerivWithin_eq, Polynomial.isCoveringMapOn_eval, Complex.ofRealCLM_norm, ContinuousAlternatingMap.le_mul_prod_of_opNorm_le_of_le, HasStrictFDerivAt.add_const, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, mdifferentiableOn_symm_coordChangeL, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, Continuous.integral_hasStrictDerivAt, deriv_const_smul, fderiv_clm_comp, ContDiff.pow, MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNE, HasStrictFDerivAt.rightFun_implicitFunctionDataOfProdDomain, mdifferentiableWithinAt_smul_const_section, SchwartzMap.bilinLeftCLM_apply, derivWithin_congr, HasDerivAt.comp_hasFDerivAt_of_eq, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, GeneralSchauderBasis.tendsto_proj, deriv_mul_const, fderiv_continuousAlternatingMap_apply_const, HasStrictFDerivAt.finCons, HasGradientAt.hasDerivAt', mdifferentiableAt_add_section, derivWithin_comp_const_sub, SmoothBumpCovering.exists_immersion_euclidean, AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, OrderedFinpartition.norm_applyOrderedFinpartition_le, iteratedDeriv_pow, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, AffineMap.hasDerivWithinAt, HasFPowerSeriesAt.eventually_hasSum, MeromorphicOn.divisor_const, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, mfderiv_comp_apply_of_eq, Complex.iteratedDeriv_odd_sinh, ContMDiffAt.finsum_section_of_locallyFinite, MeromorphicNFAt.meromorphicOrderAt_nonneg_iff_analyticAt, ContDiffMapSupportedIn.seminorm_fderivLM_le, contDiffWithinAt_fst, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, ContDiffMapSupportedIn.seminorm_fderivLM_top, meromorphicOrderAt_mul, HasStrictDerivAt.of_local_left_inverse, hasStrictFDerivAt_snd, ContMDiffAdd.prod, Complex.logDeriv_tendsto, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Complex.hasStrictDerivAt_tan, ContDiffWithinAt.clm_apply, CPolynomialOn.iterated_deriv, ContDiff.continuous_deriv_one, ContMDiffMul.contMDiff_mul, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, addInvariantVectorField_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, hasDerivAt_exp_zero_of_radius_pos, Module.Basis.exists_opNorm_le, ContinuousAffineMap.differentiable, hasDerivWithinAt_iff_isLittleO, GeneralSchauderBasis.proj_apply, hasStrictFDerivAt_iff_isLittleOTVS, AnalyticOn.iteratedFDerivWithin, extDerivWithin_pullback, derivWithin_fun_const_smul_field, DifferentiableOn.clm_apply, ContMDiff.clm_apply, logDeriv_mul, Differentiable.fun_inv, mdifferentiableWithinAt_iff_target_inter, differentiableWithinAt_fun_neg_iff, LinearMap.continuous_of_seq_closed_graph, Bundle.contMDiffWithinAt_zeroSection, ContinuousAlternatingMap.piLIE_apply_apply, Differentiable.fderiv_norm_rpow, UniqueMDiffOn.uniqueDiffOn, fderivWithin_fderivWithin, mdifferentiableOn_snd, FDerivMeasurableAux.le_of_mem_A, lintegral_fderiv_lineMap_eq_edist, ContinuousLinearMap.isBigOWith_id, HasFDerivAt.of_isLittleO, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, AlternatingMap.bound_of_shell_of_continuous, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, LineDifferentiableWithinAt.lineDifferentiableAt, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, contMDiff_mul, contMDiff_mulInvariantVectorField, ContinuousLinearEquiv.coe_toDiffeomorph_symm, Differentiable.fun_neg, Real.iteratedDeriv_even_cosh, iteratedDeriv_div_const, tangentCoordChange_def, FormalMultilinearSeries.hasSum_of_finite, Filter.EventuallyEq.lineDeriv_eq, differentiableWithinAt_inv, fderiv_comp_deriv, ContinuousMultilinearMap.contDiffAt, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, hasDerivAtFilter_ofNat, iteratedDeriv_comp_const_mul, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, analyticAt_iff_analytic_mul, Seminorm.continuous', FormalMultilinearSeries.changeOriginSeries_summable_aux₃, Asymptotics.IsBigOTVS.add, NormedSpace.exp_series_hasSum_exp', HasStrictDerivAt.cpow, HasFPowerSeriesOnBall.restrictScalars, ContDiffOn.clm_apply, Complex.meromorphicOn_canonicalFactor, contMDiffWithinAt_snd, HasFDerivAtFilter.const_add, ContinuousLinearMap.opNNNorm_le_iff, derivWithin_zero_of_frequently_const, ContinuousLinearMap.isometry_mul_flip, DiffContOnCl.differentiableAt', DifferentiableOn.fun_mul, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', inner_gradientWithin_right, fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, AffineEquiv.continuous_of_finiteDimensional, Bundle.Trivialization.contMDiffOn, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, contMDiffWithinAt_prod_iff, HasFDerivAtFilter.const_sub, LinearMap.coe_toContinuousLinearMap', HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, DiffContOnCl.inv, ContinuousMultilinearMap.opNorm_zero_iff, hasStrictFDerivAt_exp_smul_const_of_mem_ball', contDiffOn_iff_continuousOn_differentiableOn, DifferentiableWithinAt.inverse, hasFDerivWithinAt_comp_smul_iff_smul, FDerivMeasurableAux.differentiable_set_subset_D, ContDiffWithinAt.cosh, UniqueMDiffOn.prod, fderiv_fun_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivAt, MeromorphicOn.fun_smul, monomial_has_deriv_aux, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, continuous_equivFun_basis, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm, MeasureTheory.smul_convolution, Bundle.ContinuousLinearMap.vectorBundle, AnalyticOn.fun_inv, ContinuousLinearMap.isCompact_image_coe_of_bounded_of_closed_image, VectorField.mlieBracketWithin_const_smul_right, HasDerivWithinAt.sub, HasFDerivAt.le_of_lipschitzOn, DifferentiableAt.zpow, contDiff_one_iff_fderiv, MDifferentiableWithinAt.finsum_section_of_locallyFinite, MeasureTheory.ConvolutionExistsAt.integrable, HasStrictFDerivAt.pow, Real.contDiffAt_tan, IsLocalFrameOn.contMDiffAt_of_coeff, Real.hasDerivAt_mul_log, contMDiff_equivTangentBundleProd_symm, IsBoundedLinearMap.differentiableWithinAt, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, Asymptotics.isLittleOTVS_prodMk_left, fderivWithin_sinh, iter_deriv_zpow', derivWithin_fun_mul, Asymptotics.IsBigOTVS.comp_tendsto, ValueDistribution.logCounting_pow_top, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, HasFDerivWithinAt.comp_of_tendsto, hasDerivAt_of_hasDerivAt_of_ne, Real.hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, HasStrictFDerivAt.const_mul, ContinuousLinearMap.opNorm_mul_flip_apply, deriv_conj_conj, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, DifferentiableOn.smul_const, ContinuousLinearMap.ebound, contDiff_nat_succ_iff_contDiff_one_iteratedDeriv, ContDiffOn.sqrt, Real.analyticWithinAt_sinh, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, HasFDerivWithinAt.fst, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, norm_iteratedFDeriv_clm_apply, TestFunction.toBoundedContinuousFunctionCLM_apply, uniformCauchySeqOnFilter_of_deriv, IsLocalFrameOn.coeff_apply_of_mem, hasFDerivWithinAt_sub_const_iff, OpenPartialHomeomorph.contDiffAt_symm_deriv, ContinuousAlternatingMap.norm_def, HasFDerivAt.finset_prod, ContinuousLinearMap.ofMemClosureImageCoeBounded_apply, Real.contDiffAt_rpow_const_of_le, hasStrictDerivAt_abs_pos, contDiff_prodAssoc, ContinuousLinearMap.smul_compLp, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, Bundle.Trivialization.localFrame_coeff_congr, ContinuousLinearMap.contMDiff, ContinuousLinearMap.mdifferentiable, HasStrictFDerivAt.fun_sum, Meromorphic.finsum, HasSum.hasSum_at_zero, Manifold.IsImmersionAtOfComplement.ofOpen, HasFPowerSeriesAt.add, differentiableWithinAt_sub_const_iff, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, VectorBundleCore.coordChange_self, lineDifferentiableAt_smul_iff, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, fderiv_const_smul_field, FormalMultilinearSeries.taylorComp_sub_taylorComp_isBigO, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, Continuous.clm_comp, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, DifferentiableAt.fderiv_prodMk, hasFDerivWithinAt_inv, DoubleCentralizer.pow_snd, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, ContMDiffAt.clm_postcomp, IsCompactOperator.image_subset_compact_of_isVonNBounded, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, mdifferentiableWithinAt_iff_exists_hasMFDerivWithinAt, ContDiffAt.continuousAt_fderiv, fderiv_fun_pow', hasDerivWithinAt_pi, lineDifferentiableWithinAt_congr_set, DifferentiableAt.add_const, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, Real.analyticAt_cos, MDifferentiable.smul, deriv_const', ContinuousLinearEquiv.comp_hasFDerivAt_iff, MeromorphicAt.eq_nhdsNE_toMeromorphicNFAt, hasMFDerivAt_sumSwap, ContinuousLinearMap.hasFDerivAt, fderivWithin_intCast, deriv.star, ContDiffAt.fderiv_succ, ContMDiffVectorBundle.pullback, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, Icc_isBoundaryPoint_bot, Differentiable.restrictScalars, Differentiable.zpow, derivWithin.scomp, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, HasFDerivAt.continuousMultilinear_apply_const, HasFDerivWithinAt.continuousAlternatingMap_apply, fderiv_add_const, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, gelfandStarTransform_naturality, Real.sinc_eq_dslope, AnalyticOn.iteratedFDerivWithin_comp_perm, FormalMultilinearSeries.sum_of_finite, MeromorphicOn.divisor_pow, ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero, AnalyticOn.rexp, HasFDerivAt.of_notMem_tsupport, HasFTaylorSeriesUpToOn.zero_eq', fderiv_sum, Asymptotics.IsLittleOTVS.trans_isThetaTVS, HarmonicAt.analyticAt_complex_partial, SchauderBasis.range_proj_eq_span, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, DifferentiableWithinAt.fderivWithin_prodMk, ContDiff.continuous_deriv, AnalyticAt.rexp, ContinuousMultilinearMap.fin0_apply_enorm, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, HasDerivAt.continuousOn, mdifferentiableWithinAt_section, HasFiniteFPowerSeriesAt.finite, HasFDerivWithinAt.const_mul, ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator, deriv_fun_inv'', fderiv_ofNat, AnalyticOn.hasFPowerSeriesOnSubball, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, FormalMultilinearSeries.id_apply_one', contMDiffOn_localFrame_coeff, ContDiffMapSupportedIn.monoLM_apply, HasDerivWithinAt.Iic_of_Iio, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, tensorIteratedFDerivTwo_eq_iteratedFDeriv, AnalyticOnNhd.iteratedFDeriv, NormedField.exists_nnnorm_lt_one, ContinuousLinearEquiv.contDiffAt_comp_iff, derivWithin_clm_comp, differentiableAt_smul_iff, ContinuousLinearMap.precompL_apply, DoubleCentralizer.nnnorm_snd, differentiableAt_comp_add_const, Bundle.Pretrivialization.continuousLinearMap_apply, ContinuousLinearEquiv.isBigO_comp, HasStrictFDerivAt.star, Asymptotics.IsLittleOTVS.prodMk, HasDerivAt.eventually_ne, HasDerivWithinAt.clm_apply, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.hasDerivAt, ContinuousLinearMap.coe_mkOfIsCompactOperator, Differentiable.fst, fderivWithin_zero, AnalyticOnNhd.rexp, HasDerivAt.finCons, RCLike.reCLM_norm, Seminorm.bound_of_continuous_normedSpace, differentiable_finCons', HasDerivWithinAt.sin, DifferentiableWithinAt.lineDifferentiableWithinAt, HasDerivAtFilter.add, Real.hasDerivAt_arcosh, Complex.analyticWithinAt_cosh, ContDiffAt.arsinh, IsBoundedLinearMap.differentiable, HasFDerivAt.sub, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, mfderiv_comp_of_eq, MDifferentiable.clm_postcomp, HasFDerivAt.star, deriv_zero_of_not_differentiableAt, ContDiffOn.rpow, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, iteratedFDerivWithin_succ_const, Asymptotics.IsLittleOTVS.insert, enorm_fderiv_norm_rpow_le, Real.iteratedDerivWithin_cos_Icc, dslope_eventuallyEq_slope_nhdsNE, iteratedDeriv_scomp_eq_sum_orderedFinpartition, trivialization_linear, formalMultilinearSeries_geometric_apply_norm_le, HasDerivAt.cpow, MDifferentiableWithinAt.prodMk_space, ContinuousLinearMap.hasFPowerSeriesAt, Bundle.Trivial.continuousLinearMapAt_trivialization, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, LinearMap.adjoint_toContinuousLinearMap, fderivWithin_const_sub, hasDerivAt_iff_isLittleO, DifferentiableWithinAt.comp, DifferentiableAt.fun_finset_prod, HasDerivAt.arctan, HasDerivWithinAt.hasFDerivWithinAt, UniqueDiffWithinAt.smul, NormedSpace.isBounded_iff_subset_smul_closedBall, contMDiffOn_baseSet_iff_localFrame_coeff, HasDerivAt.sqrt, ContDiffAt.differentiableAt, ContinuousLinearMap.coe_equivProdOfSurjectiveOfIsCompl, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, hasStrictFDerivAt_pi', HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, HasFDerivAtFilter.neg, fderiv_eq_deriv_mul, HasFPowerSeriesOnBall.const_smul, DifferentiableAt.fun_neg, FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius, MeromorphicOn.extract_zeros_poles_log, ContinuousMultilinearMap.curry0_apply, HasFDerivWithinAt.fun_const_smul, hasFDerivAtFilter_sub_const_iff, norm_iteratedFDerivWithin_zero, iteratedFDerivWithin_of_isOpen, HasStrictFDerivAt.const_smul, hasStrictFDerivAt_natCast, HasFPowerSeriesWithinOnBall.fderivWithin, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, hasFDerivAtFilter_ofNat, hasFDerivAtFilter_zero, HasFDerivAt.multilinear_comp, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, Unitization.uniformContinuous_fst, analyticOnNhd_pi_iff, IsLocalExtr.lineDeriv_eq_zero, HasStrictDerivAt.fun_sum, analyticAt_rexp, mdifferentiableAt_iff, DifferentiableWithinAt.sum, extDeriv_fun_smul, VectorField.mpullback_const_smul_apply, fderivWithin_ccosh, ContinuousAlternatingMap.toAlternatingMap_curryLeft, ordinaryHypergeometricSeries_radius_eq_one, Complex.contDiff_cosh, MeromorphicAt.inv_iff, ContMDiffWithinAt.add_section, ContinuousMultilinearMap.uniformity_eq_seminorm, HasDerivAt.congr_of_eventuallyEq, IsExtrOn.lineDerivWithin_eq_zero, iteratedDerivWithin_eq_iteratedFDerivWithin, contDiffAt_pi', HasFDerivWithinAt.mul, ContinuousLinearMap.sSup_sphere_eq_nnnorm, analyticOrderAt_smul_eq_top_of_left, NormedSpace.isClosed_polar, ContDiffAt.prodMap, VectorFourier.fourierPowSMulRight_eq_comp, Complex.analyticOn_cosh, ContinuousAlternatingMap.le_opNNNorm, ContMDiffAt.add_section, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, NormedField.discreteTopology_or_nontriviallyNormedField, hasFDerivWithinAt_pi', fderivWithin_const_mul, HasFDerivWithinAt.multiset_prod, ContinuousMultilinearMap.le_of_opNNNorm_le, ContinuousLinearMap.opNorm_mul, DifferentiableOn.mul, DoubleCentralizer.smul_toProd, fderivWithin_pi, mfderivWithin_projIcc_one, ModelWithCorners.isInvertible_fderivWithin_extendCoordChange, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, AlternatingMap.bound_of_shell, Seminorm.bddAbove_of_absorbent, DifferentiableOn.sub, iteratedDerivWithin_eq_iterate, analyticOrderAt_eq_top, VectorBundle.finiteDimensional, HasFDerivAt.arctan, AnalyticOn.pow, fderivWithin_star, PiTensorProduct.mapL_one, Differentiable.fun_const_smul, Real.analyticAt_sinh, ContDiff.arctan, Real.hasStrictDerivAt_arccos, DoubleCentralizer.toProdMulOpposite_injective, deriv_const_add', AnalyticAt.frequently_zero_iff_eventually_zero, ContinuousLinearMap.norm_fst_le, HasStrictFDerivAt.eq_implicitFunctionOfComplemented, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, Asymptotics.IsLittleOTVS.neg_right, ContMDiffAt.mfderiv_apply, hasFDerivAt_snd, HasFTaylorSeriesUpTo.fderiv_eq, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, Unitization.dist_inr, ContinuousLinearMap.exists_lt_apply_of_lt_opNNNorm, ContDiff.ccos, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, ContinuousLinearMap.le_opNorm, TestFunction.fderivCLM_ofSupportedIn, ImplicitFunctionData.range_leftDeriv, aemeasurable_lineDeriv_uncurry, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, fderivWithin_fun_neg, DifferentiableAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, HasDerivAt.nonneg_of_monotone, Balanced.convexHull, Complex.hasDerivAt_GammaIntegral, NormedSpace.expSeries_summable, fderiv_continuousAlternatingMapCompContinuousLinearMap, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, compactOperator_topologicalClosure, MeromorphicOn.divisor_natCast, ContMDiffAdd.contMDiff_add, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_apply, PiTensorProduct.mapL_smul, MDifferentiableWithinAt.differentiableWithinAt_writtenInExtChartAt, MDifferentiableAt.differentiableAt, DoubleCentralizer.norm_def', iteratedDerivWithin_mul_const, ContinuousWithinAt.clm_apply_of_inCoordinates, Manifold.IsSmoothEmbedding.prodMap, differentiable_apply, derivWithin_univ, DifferentiableAt.fun_div, MDifferentiable.clm_bundle_apply₂, ContinuousLinearMap.fderiv, ValueDistribution.logCounting_mul_zero_eventuallyLE, fderiv_neg, ValueDistribution.logCounting_top, MeasureTheory.convolution_smul, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, binomialSeries_radius_eq_one, meromorphicOrderAt_ne_top_iff, ContinuousLinearMap.integrableAtFilter_comp, ContDiffAt.inv, HasFPowerSeriesAt.differentiableAt, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, HasDerivAt.comp_hasFDerivWithinAt, HasFDerivAt.restrictScalars, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, ContDiffAt.fst'', ContinuousLinearMap.fpowerSeries_apply_zero, VectorPrebundle.mk_contMDiffCoordChange, deriv_fun_mul, Icc_isInteriorPoint_interior, derivWithin.fun_neg, Manifold.IsImmersionAtOfComplement.prodMap, extDerivWithin_constOfIsEmpty, VectorFourier.fourierIntegral_continuousLinearMap_apply, ContinuousAffineMap.norm_def, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, ContDiffOn.pow, iteratedDeriv_succ', Complex.analyticOn_sinh, ContinuousLinearMap.norm_iteratedFDerivWithin_comp_left, HasFDerivAtFilter.isThetaTVS_sub, ContinuousLinearEquiv.coeFn_ofBijective, iteratedDerivWithin_one, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, Diffeomorph.coe_prodCongr, iteratedDeriv_smul_const, ContinuousLinearMap.comp_memLp', HasStrictFDerivAt.list_prod', Meromorphic.prod, SchwartzMap.fourier_lineDerivOp_eq, DifferentiableAt.smul, HasFDerivWithinAt.isThetaTVS_sub, Manifold.IsImmersionAtOfComplement.map_target_subset_target, LinearMap.isBigOTVS_rev_comp, LinearMap.toContinuousBilinearMap_apply, NormedField.exists_one_lt_enorm, meromorphicOrderAt_eq_top_iff, norm_iteratedFDerivWithin_clm_apply_const, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, hasStrictDerivAt_exp_smul_const, MeasureTheory.iteratedFDeriv_charFun, IsAlgClosed.of_denseRange, Filter.EventuallyEq.ftaylorSeries, isBoundedBilinearMap_comp, aestronglyMeasurable_lineDeriv, fderivWithin_sin, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, ContMDiff.smul, differentiable_euclidean, FormalMultilinearSeries.nnnorm_changeOrigin_le, Filter.EventuallyEq.deriv, hasStrictDerivAt_add_const_iff, hasLineDerivWithinAt_smul_iff, MDifferentiable.const_smul, hasMFDerivAt_fst, ContinuousLinearMap.exists_lt_apply_of_lt_opNorm, Asymptotics.IsBigOTVS.neg_right, fderiv_fun_sub, mfderivWithin_comp_projIcc_one, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, Bundle.Trivialization.coe_continuousLinearEquivAt_eq, FormalMultilinearSeries.rightInv_removeZero, HasStrictDerivAt.csin, MeromorphicOn.prod, isCompactOperator_iff_isCompact_closure_image_ball, ContinuousMultilinearMap.isEmbedding_restrictScalars, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, DoubleCentralizer.norm_def, HasDerivWithinAt.comp, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', HasStrictDerivAt.map_nhds_eq, iteratedDeriv_const_mul, MDifferentiableAt.mul, HasCompactSupport.fderiv, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, MeromorphicAt.fun_smul, Real.fourier_iteratedFDeriv, HasDerivAt.add, SchwartzMap.smulLeftCLM_real_smul, writtenInExtChart_prod, Differentiable.cexp, LinearMap.exists_map_addHaar_eq_smul_addHaar, analyticOnNhd_rexp, ValueDistribution.logCounting_mul_top_eventuallyLE, HasMFDerivAt.smul, hasFDerivWithinAt_intCast, deriv_sub, Bundle.contMDiffAt_zeroSection, contDiff_succ_iff_fderiv, HasStrictDerivAt.div, ModelWithCorners.prod_target, meromorphicOrderAt_mul_of_ne_zero, ContinuousLinearMap.opNNNorm_prod, ContinuousLinearEquiv.comp_differentiableOn_iff, contMDiffAt_mulInvariantVectorField, MDifferentiableOn.smul, MDifferentiableAt.clm_prodMap, hasDerivAtFilter_zero, HasMFDerivAt.neg, contDiffAt_piLp_apply, Seminorm.map_eq_zero_of_norm_zero, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, MDifferentiable.prodMap, HasFDerivAt.fun_const_smul, derivWithin_zpow, deriv.fun_neg', Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Meromorphic.div, Manifold.pathELength_def, WeakDual.toStrongDual_inj, ContDiff.cos, DifferentiableAt.neg, ContinuousLinearMap.uniformContinuous_restrictScalars, IccLeftChart_extend_interior_pos, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, equivTangentBundleProd_apply, norm_lineDeriv_le_of_lipschitz, MDifferentiableAt.pow, isModuleTopologyOfFiniteDimensional, NormedField.exists_norm_lt_one, Differentiable.pow, Differentiable.finCons, LinearIsometryEquiv.fderiv, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, Differentiable.const_smul, ContinuousLinearMap.holderₗ_apply_apply, contMDiffWithinAt_prod_module_iff, ContinuousAt.of_dslope, hasFDerivAt_add_const_iff, dslope_sub_smul, hasDerivAt_id', ContinuousMultilinearMap.unit_le_opNorm, HasDerivWithinAt.cos, LinearMap.dualEmbedding_surjective, ContinuousMultilinearMap.curryRight_norm, hasDerivWithinAt_Iic_of_tendsto_deriv, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, deriv_fun_smul, iteratedFDeriv_comp_const_smul, fderiv.log, HasStrictDerivAt.arctan, HasStrictDerivAt.mul, ContDiffOn.continuousOn_iteratedDerivWithin, DifferentiableAt.const_add, FDerivMeasurableAux.norm_sub_le_of_mem_A, HasFDerivAt.add, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, ContinuousLinearMap.continuous_of_continuous_uncurry, FiniteDimensional.of_exists_totallyBounded_nhds, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, MeasureTheory.convolution_lsmul, MDifferentiableAt.clm_postcomp, fderiv_continuousAlternatingMap_apply, Real.contDiffAt_sqrt, hasFDerivAt_sub_const_iff, LineDifferentiableAt.of_comp, ContDiff.cexp, ContDiffWithinAt.continuousWithinAt_iteratedFDerivWithin, MDifferentiable.clm_bundle_apply, ContDiffMapSupportedIn.monoLM_eq_of_scalars, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, ModelWithCorners.uniqueDiffOn_preimage, iteratedFDeriv_zero, hasDerivAt_abs_neg, fderivWithin_finset_prod, HasFDerivWithinAt.const_sub, ContinuousLinearMap.isCompact_image_coe_closedBall, HasDerivAt.pow, Real.deriv_sqrt_aux, iteratedFDeriv_add_apply, derivWithin_of_mem_nhdsWithin, deriv_fderiv, meromorphicNFAt_mul_iff_left, RegularNormedAlgebra.isometry_mul', ContDiffWithinAt.hasFDerivWithinAt_nhds, FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq, HasFDerivAt.sum, HasStrictDerivAt.real_of_complex, DifferentiableAt.const_smul, ContinuousLinearMap.isClosed_image_coe_closedBall, DoubleCentralizer.central, ModelWithCorners.hasMFDerivAt, IsCovariantDerivativeOn.torsion_self, HasFPowerSeriesOnBall.coeff_zero, FormalMultilinearSeries.norm_apply_eq_norm_coef, DifferentiableAt.add_iff_left, hasFDerivAtFilter_const, VectorBundleCore.localTriv_symm_fst, HasFPowerSeriesWithinOnBall.differentiableOn, MDifferentiableWithinAt.clm_bundle_apply₂, fun_meromorphicOrderAt_smul, HasMFDerivWithinAt.prodMap, HasDerivAt.differentiableAt, mdifferentiableAt_addInvariantVectorField, NormedField.exists_nnnorm_lt, TestFunction.limitCLM_apply, VectorField.pullbackWithin_eq_of_fderivWithin_eq, hasDerivWithinAt_abs, hasFPowerSeriesOnBall_const, tendsto_cobounded_of_meromorphicOrderAt_neg, hasFDerivAtFilter_iff_isLittleO, DifferentiableAt.fun_add, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, fun_meromorphicOrderAt_zpow, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, eventually_norm_mfderivWithin_symm_extChartAt_lt, HasDerivWithinAt.csinh, ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le, ContDiff.prodMk, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, DifferentiableAt.star_conj, ContinuousLinearMap.antilipschitz_of_isEmbedding, contDiff_apply, AnalyticWithinAt.cexp, UniqueMDiffOn.uniqueDiffOn_target_inter, meromorphicNFOn_fun_prod, VectorFourier.hasFDerivAt_fourierIntegral, ContMDiff.sum_section_of_locallyFinite, ContDiffAt.sinh, extDerivWithin_add, ContMDiff.contMDiff_tangentMap, LinearMap.isClosedEmbedding_of_injective, Valued.integer.exists_norm_lt_one, NormedField.exists_lt_enorm, iteratedFDeriv_sum, hasFDerivAt_ringInverse, tensorIteratedFDerivWithinTwo_eq_iteratedFDerivWithin, ContinuousMultilinearMap.opNorm_smul_le, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, Filter.HasBasis.isLittleOTVS_iff, HasFDerivAt.continuousAlternatingMap_apply, MeasureTheory.convolution_precompR_apply, HasFDerivWithinAt.of_notMem_tsupport, MDifferentiableAt.mpullback_vectorField, MultilinearMap.norm_image_sub_le_of_bound', WeakDual.coe_toStrongDual, hasFDerivAt_finCons, LineDifferentiableWithinAt.congr_of_eventuallyEq, ContMDiff.piecewise_Iic, Matrix.linfty_opNNNorm_eq_opNNNorm, VectorFourier.fourierIntegral_iteratedFDeriv, HasMFDerivWithinAt.neg, DifferentiableWithinAt.mul, hasFDerivWithinAt_finCons, FiniteDimensional.of_totallyBounded_nhds_zero, InformationTheory.hasDerivAt_klFun, UnconditionalSchauderBasis.enorm_proj_le_enormProjBound, contMDiff_coe_sphere, Complex.analyticAt_sin, AlternatingMap.coe_mkContinuous, contDiffOn_one_iff_derivWithin, stronglyMeasurable_lineDeriv, ContinuousMultilinearMap.norm_restr, ContinuousMultilinearMap.norm_image_sub_le, fderiv_smul, ContMDiffWithinAt.sum_section, LinearIsometry.norm_toContinuousLinearMap, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, hasMFDerivAt_inr, differentiable_snd, iteratedFDerivWithin_const_smul_apply, LeftInvariantDerivation.comp_L, HasFDerivWithinAt.star, HasDerivAt.fun_pow, HasStrictFDerivAt.fst, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, FormalMultilinearSeries.taylorComp_sub_taylorComp_isLittleO, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, fderivWithin_eventually_congr_set', intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, ContinuousLinearMap.coe_equivRange, VectorField.fderivWithin_pullbackWithin, ContinuousLinearMap.interior_preimage, ContinuousAlternatingMap.curryLeft_apply_apply, ContinuousLinearMap.flip_smul, logDeriv_fun_pow, Manifold.pathELength_eq_lintegral_mfderivWithin_Icc, mfderivWithin_sumInr, MeromorphicOn.divisor_inv, Bundle.Trivial.vectorBundle, HasDerivAtFilter.mono, Submodule.IsCompl.closedComplemented_of_isClosed, ContDiffAt.div_const, ContinuousLinearEquiv.isBigO_sub, HasFDerivAt.isBigOTVS_sub, HasDerivWithinAt.fun_pow', HasDerivAt.deriv, MeromorphicOn.id, LinearMap.exists_antilipschitzWith, HasCompactSupport.hasDerivAt_convolution_right, hasDerivWithinAt_neg, DifferentiableWithinAt.const_mul, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Module.Basis.constrL_apply, MeromorphicOn.divisor_fun_pow, differentiableWithinAt_pow, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, HasFDerivWithinAt.const_smul, Bundle.Trivialization.localFrame_apply_of_mem_baseSet, AnalyticAt.deriv, NormedSpace.norm_expSeries_summable, ContinuousLinearEquiv.hasMFDerivAt, MeasureTheory.ConvolutionExistsAt.integrable_swap, DifferentiableWithinAt.fun_pow, ContinuousOn.clm_comp, Polynomial.deriv_aeval, VectorBundleCore.trivializationAt_coordChange_eq, fderivWithin_id, DoubleCentralizer.nnnorm_def, MultilinearMap.coe_mkContinuous, VectorField.DifferentiableWithinAt.pullbackWithin, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContDiff.log, hasDerivAt_tsum_of_isPreconnected, contDiffOn_prod', HasDerivWithinAt.eventually_notMem, ContinuousLinearMap.measurable_apply₂, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, continuousOn_tangentCoordChange, ContMDiffCovariantDerivativeOn.finite_affine_combination, MultilinearMap.bound_of_shell_of_norm_map_coord_zero, LinearMap.hasStrictDerivAt, LinearIsometryEquiv.contDiff, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, HasFDerivAt.comp_hasFDerivWithinAt, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, ContDiff.continuous_fderiv_apply, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, Function.hasTemperateGrowth_iff_isBigO, HasDerivAtFilter.isBigO_sub_rev, HasDerivWithinAt.nonpos_of_antitoneOn, minSmoothness_eq_infty, MeasureTheory.contDiffOn_convolution_right_with_param, iteratedFDerivWithin_neg_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, ContDiffAt.pow, HasDerivWithinAt.fun_finset_prod, ContinuousAt.clm_apply, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', MDifferentiableAt.sum_section, DifferentiableWithinAt.prodMk, differentiableOn_dslope_of_notMem, HasStrictFDerivAt.to_implicitFunctionOfComplemented, IsLocalExtr.fderiv_eq_zero, derivWithin_congr_set', MeromorphicOn.divisor_fun_prod, mdifferentiableAt_fst, ContMDiffAt.smul, intervalIntegral.integral_hasDerivWithinAt_left, GeneralSchauderBasis.expansion, Bundle.Trivialization.mdifferentiableAt_section_iff, HasFPowerSeriesOnBall.fderiv_eq, ContinuousLinearMap.opNorm_le_of_shell', MeromorphicOn.fun_deriv, mfderivWithin_comp_of_preimage_mem_nhdsWithin_of_eq, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, analyticOnNhd_snd, IsCovariantDerivativeOn.smul_const, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, Meromorphic.MeromorphicOn.countable_compl_analyticAt, differentiableAt_star_iff, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, Real.smoothTransition.contDiffAt, ContinuousLinearMap.HasLeftInverse.of_injective_of_finiteDimensional, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', DifferentiableAt.inverse, AffineMap.hasDerivWithinAt_lineMap, Asymptotics.IsLittleOTVS.congr_left, MDifferentiableOn.prodMk, mfderiv_prod_eq_add_comp, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, ContinuousLinearMap.fderiv_of_bilinear, logDeriv_eqOn_iff, ContDiffBump.contDiff, hasFDerivAt_of_subsingleton, aestronglyMeasurable_deriv, Real.hasDerivWithinAt_arccos_Ici, PiTensorProduct.tprodL_toFun, DifferentiableWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.nnnorm_toSpanSingleton, ContinuousLinearEquiv.hasMFDerivWithinAt, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, fderiv_mul_const', LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, extDeriv_apply_vectorField, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, MultilinearMap.restr_norm_le, Asymptotics.isLittleOTVS_fun_neg_left, TestFunction.postcompCLM_apply, MDifferentiableAt.prodMap', hasDerivAt_iff_tendsto_slope_left_right, Bundle.Trivialization.continuousLinearEquivAt_apply', HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorphOfComplemented_target, deriv_id'', HasFTaylorSeriesUpToOn.hasFDerivWithinAt, Asymptotics.isBigOTVS_iff_smallSets, ContinuousAlternatingMap.norm_restrictScalars, CovariantDerivative.torsion_apply, ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, aemeasurable_deriv_with_param, HasDerivWithinAt.const_cpow, MeasureTheory.convolutionExistsAt_flip, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, IsCovariantDerivativeOn.torsion_antisymm, AnalyticOn.fun_zpow, AnalyticWithinAt.prod, HasDerivAtFilter.sub, AnalyticOn.fderivWithin, ContinuousLinearMap.opNorm_mul_apply, ContinuousLinearMap.norm_smulRightL, FiniteDimensional.of_locallyCompact_manifold, deriv_const_mul_field', ContinuousLinearEquiv.uniqueDiffOn_image, mfderiv_comp_mfderivWithin, NormedSpace.inclusionInDoubleDualWeak_apply_apply, deriv_fun_div, Function.FactorizedRational.mulSupport, ContinuousLinearEquiv.comp_fderiv, derivWithin.neg, Differentiable.sub_iff_right, HasFDerivWithinAt.fun_smul, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, ContDiffOn.rpow_const_of_ne, ContinuousLinearMap.isBigO_id, Valued.integer.norm_irreducible_lt_one, ContMDiffAt.prodMap, ContDiffAt.fderiv_right, Complex.differentiable_exp, AnalyticOn.compContinuousLinearMap, hasStrictFDerivAt_iff_isLittleO, MeasureTheory.convolution_def, contMDiffWithinAt_pi_space, HasStrictFDerivAt.prodMk, ContMDiffFiberwiseLinear.locality_aux₂, ContinuousMultilinearMap.curryLeft_norm, HasStrictFDerivAt.of_notMem_tsupport, HasDerivAt.hasFDerivAt, HasDerivAtFilter.iterate, contDiff_update, HasFPowerSeriesOnBall.differentiableOn, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, deriv.neg, ContinuousLinearMap.exists_approx_preimage_norm_le, ContinuousMultilinearMap.uncurry0_norm, ContDiffOn.continuousOn_iteratedFDerivWithin, FDerivMeasurableAux.D_subset_differentiable_set, hasMFDerivWithinAt_inr, HasFPowerSeriesWithinOnBall.prod, ImplicitFunctionData.implicitFunction_def, MDifferentiableWithinAt.clm_precomp, IsBoundedBilinearMap.differentiableOn, HasDerivAt.fun_add, HasDerivAt.neg, FDerivMeasurableAux.differentiable_set_eq_D, ContinuousLinearMap.isClosed_image_coe_of_bounded_of_weak_closed, ContMDiffVectorBundle.continuousLinearMap, mdifferentiableAt_totalSpace, HasDerivAt.star, IsBoundedBilinearMap.fderivWithin, deriv_zero, ContinuousMultilinearMap.le_opNorm, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Meromorphic.zpow, Bundle.Trivial.linearMapAt_trivialization, mdifferentiableOn_fst, mdifferentiable_mulInvariantVectorField, ContinuousLinearMap.continuous_restrictScalars, HasFDerivWithinAt.neg, hasStrictDerivAt_const_add_iff, iteratedFDeriv_const_smul_apply, isBoundedBilinearMap_compMultilinear, Asymptotics.IsBigOTVS.fun_add, ContinuousLinearEquiv.comp_right_fderiv, hasLineDerivAt_smul_iff, differentiableOn_finCons', VectorField.lieBracket_const_smul_left, Finset.analyticWithinAt_fun_prod, contDiffWithinAt_prod', HasDerivWithinAt.const_rpow, 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, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, IsBoundedLinearMap.differentiableOn, MeromorphicOn.divisor_sub_const_self, Unitization.cobounded_eq_aux, ContinuousLinearMap.analyticAt, ContDiff.prodMap, iteratedFDeriv_succ_const, HasDerivAtFilter.const_smul, Asymptotics.isBigOTVS_fun_neg_left, ContMDiffOn.finsum_section_of_locallyFinite, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, iteratedDeriv_comp_sub_const, ContDiffAt.iteratedFDeriv_right, HasFPowerSeriesWithinAt.fderivWithin_eq, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, continuousWithinAt_dslope_of_ne, HasFTaylorSeriesUpToOn.cont, inCoordinates_apply_eq₂, Asymptotics.isBigOTVS_fun_neg_right, MDifferentiableOn.sum_section_of_locallyFinite, measurable_deriv, extDeriv_extDeriv, AnalyticOnNhd.fderiv_of_isOpen, Module.Basis.coe_constrL, ContinuousAlternatingMap.le_opNorm, Bundle.Trivialization.comp_continuousLinearEquivAt_eq_coord_change, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, FormalMultilinearSeries.id_comp', AnalyticAt.rexp', mdifferentiableOn_localFrame_coeff, LinearIndependent.eventually, differentiableAt_apply, NormedSpace.expSeries_hasSum_exp, analyticOrderAt_ne_zero, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, contDiffOn_infty_iff_fderivWithin, contDiffOn_prod, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.flip_apply, hasFDerivAt_iff_isLittleO, derivWithin_fun_div, tangentMapWithin_snd, derivWithin_inv, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, DifferentiableWithinAt.hasDerivWithinAt, CPolynomialOn.iteratedFDeriv, ContDiffWithinAt.prodMap, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, ContinuousAt.clm_apply_of_inCoordinates, differentiableAt_pi'', HasFPowerSeriesOnBall.sum, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, Complex.contDiffAt_log, HasDerivWithinAt.mul, SchauderBasis.finrank_range_proj, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, HasDerivAt.log, Real.analyticAt_sin, Units.instIsManifoldModelWithCornersSelf, LeftInvariantDerivation.evalAt_coe, derivWithin_const_add, mfderivWithin_sumInl, fderiv_inverse, derivWithin_subset, SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, HasFPowerSeriesOnBall.fderiv, MDifferentiableAt.prodMk, lineDerivWithin_of_isOpen, ContMDiffOn.clm_precomp, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, ContinuousMultilinearMap.restrictScalarsLinear_apply, contDiffOn_nat_iff_continuousOn_differentiableOn, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, measurableSet_of_differentiableAt_of_isComplete, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, ContDiffOn.csin, HasStrictFDerivAt.of_local_left_inverse, iteratedFDeriv_const_smul_apply', FormalMultilinearSeries.compAlongComposition_nnnorm, PiLp.hasFDerivAt_toLp, DifferentiableWithinAt.snd, PiTensorProduct.mapL_coe, ContMDiffWithinAt.neg_section, analyticAt_smul, Diffeomorph.prodCongr_symm, Filter.EventuallyEq.hasDerivAt_iff, Manifold.IsImmersionAt.writtenInCharts, fderiv_pow, ContinuousLinearMap.lipschitz, Polynomial.differentiable_aeval, meromorphicNFAt_finprod, DoubleCentralizer.range_toProd, HasDerivAt.csinh, fderiv_one, fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, Seminorm.continuous, Complex.differentiable_iteratedDeriv_sin, LinearIsometry.norm_compContinuousMultilinearMap, AnalyticWithinAt.inv, Function.FactorizedRational.finprod_eq_fun, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, fun_iteratedFDerivWithin_add_apply, Real.analyticOnNhd_cosh, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, HasStrictDerivAt.clog_real, UniqueDiffOn.of_real, ContMDiffOn.coordChangeL, hasDerivAt_of_hasDerivAt_of_ne', intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, VectorField.fderiv_pullback, ContMDiffWithinAt.mpullbackWithin_vectorField_inter, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, ContDiff.fst', HasFDerivAt.pow, ContinuousLinearMap.exists_right_inverse_of_surjective, mfderivWithin_extChartAt_symm_inverse_apply, HasDerivWithinAt.sqrt, NormedSpace.analyticAt_exp_of_mem_ball, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, Asymptotics.isBigOTVS_iff_isBigO, ContinuousMultilinearMap.isLeast_opNorm, fderivWithin_comp_derivWithin, ContDiff.continuous_fderiv, mdifferentiableAt_hom_bundle, HasFPowerSeriesWithinOnBall.unshift, IsLocalFrameOn.mdifferentiableAt_of_coeff_aux, hasFDerivAt_id, meromorphicOrderAt_const_natCast, Real.hasDerivAt_qaryEntropy, Finset.analyticWithinAt_prod, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, continuousAt_dslope_same, WithSeminorms.isVonNBounded_iff_seminorm_bddAbove, fderivWithin_inv', spectralAlgNorm_mul, hasDerivAt_add_const_iff, mdifferentiable_fst, hasDerivWithinAt_pow, Submodule.closed_of_finiteDimensional, hasDerivWithinAt_iff_hasFDerivWithinAt, MultilinearMap.exists_bound_of_continuous, MeasureTheory.ae_ae_add_linearMap_mem_iff, differentiableAt_star_conj_iff, MDifferentiableAt.differentiableWithinAt_writtenInExtChartAt, Monotone.ae_hasDerivAt, ContinuousLinearMap.fderivWithin_of_bilinear, HasFPowerSeriesOnBall.compContinuousLinearMap, DoubleCentralizer.add_fst, MeromorphicOn.divisor_prod, deriv_pi, differentiableWithinAt_of_derivWithin_ne_zero, ContinuousLinearEquiv.iteratedFDerivWithin_comp_right, MeromorphicOn.divisor_intCast, ContinuousWithinAt.clm_comp, HasFPowerSeriesWithinAt.coeff_zero, ContDiffMapSupportedIn.uniformSpace_eq_iInf, NormedSpace.norm_expSeries_summable_of_mem_ball', HasLineDerivAt.of_comp, extDerivWithin_extDerivWithin_eqOn, DifferentiableOn.add_const, GeneralSchauderBasis.proj_apply_basis_mem, hasFDerivAt_apply, derivWithin_div_const, iteratedFDerivWithin_smul_const_apply, Bundle.Trivialization.continuousLinearEquivAt_prod, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, VectorField.mpullback_smul_apply, contDiffWithinAt_iff_of_ne_infty, NormedSpace.inclusionInDoubleDual_norm_le, mfderiv_sumInl, AnalyticOnNhd.eval_linearMap, LinearEquiv.coe_toContinuousLinearEquiv_symm, hasFTaylorSeriesUpToOn_pi', Differentiable.sum, hasDerivWithinAt_one, mfderiv_sub, deriv_comp_add_const, VectorBundleCore.localTriv_symm_apply, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, WeakDual.isCompact_closedBall, Bundle.Trivialization.prod_apply', ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv, ContinuousOn.of_dslope, Real.abs_iteratedDeriv_cos_le_one, TangentBundle.trivializationAt_apply, PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, TestFunction.coe_ofSupportedInCLM, Real.differentiableAt_rpow_of_ne, PointedContMDiffMap.smul_def, LinearMap.norm_mkContinuous₂_aux, mdifferentiableWithinAt_neg_section, modelWithCorners_prod_coe, Complex.iteratedDeriv_odd_sin, HasLineDerivAt.tendsto_slope_zero, Asymptotics.IsLittleOTVS.fst, contMDiffOn_pi_space, HasStrictDerivAt.to_local_left_inverse, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, ContinuousLinearMap.holder_smul_left, MeromorphicOn.isClopen_setOf_meromorphicOrderAt_eq_top, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, ContinuousAffineMap.norm_eq, HarmonicAt.differentiableAt_complex_partial, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, tendsto_logDeriv_euler_sin_div, Bundle.TotalSpace.isManifold, isSymmSndFDerivAt_iff_iteratedFDeriv, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, HasFDerivWithinAt.mul_const, ContMDiffAt.const_smul_section, hasFDerivWithinAt_iff_isLittleO, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, IsBoundedBilinearMap.contDiff, ContDiff.sin, iteratedDerivWithin_smul_const, MeromorphicOn.analyticAt_mem_codiscreteWithin, DifferentiableOn.inv, MeasureTheory.hasFDerivAt_convolution_right_with_param, ContinuousLinearEquiv.differentiableAt, fderiv_pow', logDeriv_sin_div_eq_cot, ContMDiffAt.mfderiv_const, AnalyticOn.domDomCongr_iteratedFDeriv, smoothSheafCommRing.isUnit_stalk_iff, ContMDiffSection.coe_smul, fderiv_mul, Real.iteratedDeriv_add_one_cosh, FormalMultilinearSeries.coeff_ofScalars, contMDiff_vectorSpace_iff_contDiff, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, mdifferentiableAt_snd, ContMDiffOn.mpullbackWithin_vectorField_inter, Asymptotics.IsLittleOTVS.neg_left, ContinuousLinearMap.ratio_le_opNorm, fderivWithin_sub_const, mfderiv_prodMap, iteratedFDerivWithin_eq_equiv_comp, spectralMulAlgNorm_def, DifferentiableAt.isBigOTVS_sub, Differentiable.fun_add, hasFDerivAt_prodMk_left, HasStrictFDerivAt.isLittleO, AlternatingMap.mkContinuousAlternating_norm_le, 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, HasStrictDerivAt.exp, ContDiffAt.rpow, LinearMap.deriv, VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas, HasStrictFDerivAt.map_implicitFunction_eq, uniqueDiffWithinAt_convex_of_isRCLikeNormedField, Continuous.fderiv, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, Asymptotics.IsLittleOTVS.pi, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, EuclideanSpace.instIsManifoldSphere, DoubleCentralizer.smul_fst, ContMDiffAt.clm_apply_of_inCoordinates, fderivWithin.snd, ContDiffWithinAt.arctan, norm_fderiv_le_of_lipschitz, DifferentiableWithinAt.fun_sum, Bundle.Pretrivialization.continuousLinearMap.isLinear, UpperHalfPlane.hasStrictDerivAt_smul, logDeriv_div, hasFDerivWithinAt_finCons', HasDerivAt.cosh, DifferentiableAt.conj_conj, Complex.logDeriv_sin, TangentBundle.coordChange_model_space, fun_iteratedFDeriv_add, fderivWithin_cos, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderiv, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, isQuotientCoveringMap_npow, ContMDiffWithinAt.prodMk_space, Bundle.Trivialization.mdifferentiableWithinAt_totalSpace_iff, Continuous.clm_bundle_apply, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, fun_iteratedFDeriv_sub, AlternatingMap.mkContinuous_norm_le, ContDiffMapSupportedIn.seminorm_monoLM_le, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, Polynomial.derivWithin, ContinuousLinearMap.isBoundedBilinearMap, fdifferential_apply, ContinuousMultilinearMap.opNorm_nonneg, FiberwiseLinear.trans_openPartialHomeomorph_apply, HasFPowerSeriesWithinOnBall.sum, fderivWithin_const_add, Real.hasStrictDerivAt_arcosh, Filter.EventuallyEq.iteratedFDerivWithin, HasDerivAt.sub, MDifferentiable.mpullback_vectorField, MeromorphicAt.fun_pow, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply_ker, Filter.EventuallyEq.lineDerivWithin_eq_nhds, compContinuousLinearMap_zero, HasLineDerivWithinAt.smul, MeromorphicOn.divisor_sub_const_of_ne, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, mdifferentiable_smul_const_section, HasDerivAt.ccosh, HasStrictDerivAt.sum, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, fderivWithin_continuousMultilinear_apply_const, FormalMultilinearSeries.le_radius_compContinuousLinearMap, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, ContinuousLinearEquiv.integrable_comp_iff, ProperSpace.of_nontriviallyNormedField_of_weaklyLocallyCompactSpace, Asymptotics.isBigOTVS_congr, Differentiable.fun_pow, fderivWithin_ccos, ContinuousLinearMap.coe_ofSeqClosedGraph, Bundle.Trivialization.mdifferentiableOn_section_baseSet_iff, Asymptotics.isBigOTVS_neg_right, MDifferentiableOn.coordChangeL, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, VectorField.mlieBracketWithin_const_smul_left, ContinuousAlternatingMap.ofSubsingletonLIE_apply, fderiv_fun_add, MeromorphicOn.fun_pow, UniqueMDiffWithinAt.bundle_preimage', FormalMultilinearSeries.compAlongComposition_bound, iteratedDeriv_fun_id, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, AlternatingMap.exists_bound_of_continuous, FiberBundle.exists_contMDiffOn_extend, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, Seminorm.bound_of_continuous, ContinuousLinearMap.lipschitz_apply, HasStrictDerivAt.smul, AnalyticWithinAt.differentiableWithinAt, ContinuousLinearMap.closed_complemented_range_of_isCompl_of_ker_eq_bot, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, Complex.logDeriv_exp, hasDerivAt_tsum, DifferentiableAt.fderiv_restrictScalars, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, inTangentCoordinates_eq, extDerivWithin_apply_vectorField_of_pairwise_commute, AnalyticAt.prod, MeromorphicOn.div, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, ContinuousLinearMap.equivRange_symm_apply, ContinuousLinearMap.bilinearComp_zero_right, ContinuousLinearMap.opNNNorm_le_bound, MDifferentiableAt.finsum_section_of_locallyFinite, WeakDual.isBounded_closure, IsContMDiffRiemannianBundle.exists_contMDiff, ContDiffOn.ccos, ContDiffWithinAt.fderivWithin'', ModelWithCorners.prod_symm_apply, deriv_const_mul_field, BaireSpace.instBarrelledSpace, hasDerivAtFilter_add_const_iff, HasDerivWithinAt.arsinh, HasStrictDerivAt.csinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, hasDerivAt_jacobiTheta₂_fst, ContinuousLinearMap.iteratedFDerivWithin_comp_left, ContMDiffOn.cle_arrowCongr, HasDerivWithinAt.scomp_of_eq, MDifferentiableAt.const_smul, HasDerivAt.exp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, contMDiff_snd, IsExtrOn.lineDeriv_eq_zero, ContMDiffAt.clm_bundle_apply, contMDiffAt_prod_iff, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, Differentiable.inverse, MDifferentiableOn.clm_prodMap, contMDiffAt_coordChangeL, meromorphicNFAt_inv, DifferentiableOn.div_const, tangentMap_prodSnd, HasFDerivWithinAt.fun_sub, mdifferentiableAt_neg_section, Bundle.Trivialization.contMDiffOn_localFrame_baseSet, iteratedFDeriv_tsum, contMDiff_subtype_coe_Icc, Real.hasDerivAt_arcsin, fderivWithin_fun_sub, coe_lpBCFₗᵢ, ContinuousAffineMap.norm_contLinear_le, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, fderivWithin_fun_mul', AnalyticOn.pi, FiniteDimensional.of_isCompact_closedBall₀, Complex.hasDerivAt_sinh, HasDerivAt.csin, spectralNorm.spectralNorm_pow_natDegree_eq_prod_roots, LinearIsometryEquiv.comp_differentiableOn_iff, LinearIsometryEquiv.comp_differentiableAt_iff, differentiable_inner, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, analyticAt_iff_analytic_fun_mul, Real.analyticOn_arcosh, HasLineDerivAt.tendsto_slope_zero_left, tendsto_nhds_iff_meromorphicOrderAt_nonneg, ContDiffWithinAt.continuousLinearMap_comp, Continuous.clm_apply, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, derivWithin_const_smul_field, HasFDerivWithinAt.prodMk, ContinuousAlternatingMap.norm_ofSubsingleton, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', DifferentiableOn.fun_const_smul, VectorField.mpullback_const_smul, hasStrictFDerivAt_finCons, MDifferentiableWithinAt.coordChangeL, HasDerivAt.smul_const, Diffeomorph.mfderivToContinuousLinearEquiv_coe, HasDerivAtFilter.sub_const, Meromorphic.countable_compl_analyticAt, ContMDiffAt.prodMk_space, ContinuousLinearMap.coe_flipₗᵢ', HasMFDerivAt.prodMap, Real.contDiffAt_log, MDifferentiableAt.clm_bundle_apply₂, ContMDiffWithinAt.mpullback_vectorField_of_mem_nhdsWithin_of_eq, ContDiffWithinAt.mul, PiTensorProduct.norm_eval_le_injectiveSeminorm, deriv_inv, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three, contDiffOn_succ_iff_fderiv_of_isOpen, HasDerivAt.cos, Polynomial.fderiv_aeval, Real.pow_mul_norm_iteratedFDeriv_fourier_le, fderivWithin_fderivWithin_eq_of_mem_nhds, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, FiberBundle.writtenInExtChartAt_trivializationAt, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, HasFTaylorSeriesUpTo.tsupport_mono, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, norm_deriv_le_of_lipschitzOn, hasDerivAt_const, dslope_sub_smul_of_ne, HasFDerivWithinAt.of_isLittleO, deriv_add_const', iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, NormedAlgebra.norm_eq_spectralNorm, fderiv_const_add, meromorphicOrderAt_pow_id_sub_const, fderiv_mul', hasFDerivWithinAt_const_add_iff, iteratedDerivWithin_of_isOpen_eq_iterate, IsLocalFrameOn.mdifferentiableOn_of_coeff, Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, ContDiffOn.differentiableOn, fderivWithin_const_smul_of_field, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, HasStrictDerivAt.cosh, Units.instLieGroupModelWithCornersSelf, ModelWithCorners.prod_source, natCast_le_analyticOrderAt, Complex.hasDerivAt_Gammaℂ_one, ContDiffAt.cosh, VectorField.lieBracket_fmul_left, Complex.analyticOnNhd_sin, ContMDiffWithinAt.mpullback_vectorField_preimage, Asymptotics.IsBigOTVS.snd, HasFDerivAtFilter.sum, HasFDerivWithinAt.lim, Complex.hasStrictDerivAt_const_cpow, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, ContinuousMultilinearMap.analyticAt, hasMFDerivAt_id, DifferentiableOn.clm_comp, MDifferentiable.differentiable, ContDiffMapSupportedIn.monoCLM_apply, ftaylorSeriesWithin_zero, ContinuousMultilinearMap.prodL_apply, FormalMultilinearSeries.radius_inv_eq_limsup, Real.hasStrictDerivAt_log, IsMinOn.lineDerivWithin_eq_zero, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, mdifferentiableWithinAt_iff_image, Real.iteratedDeriv_add_one_cos, HasDerivAt.isBigO_sub, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousOn.clm_bundle_apply₂, fderiv_comp_fderivWithin, ContinuousLinearMap.coe_flipMultilinearEquiv, DifferentiableWithinAt.fst, HasDerivWithinAt.cpow, NonUnitalAlgHom.coe_Lmul, ContinuousMultilinearMap.norm_map_init_le, ContinuousLinearMap.iteratedFDerivWithin_comp_right, hasMFDerivWithinAt_id, LeftInvariantDerivation.left_invariant'', HasStrictFDerivAt.hasStrictFDerivAt_implicitFunctionOfProdDomain, ContinuousAlternatingMap.hasStrictFDerivAt, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, NormedSpace.expSeries_summable', NormedSpace.norm_expSeries_summable_of_mem_ball, HasDerivAt.tendsto_slope_zero_left, InnerProductSpace.laplacian_smul, hasStrictFDerivAt_iff_hasStrictDerivAt, derivWithin_fun_const_smul, contDiff_nat_iff_iteratedDeriv, DifferentiableAt.continuousAlternatingMap_apply, VectorField.mpullback_apply, Submodule.coe_continuous_linearProjOfClosedCompl, ContDiffWithinAt.continuousWithinAt_fderivWithin, fderiv_mem_iff, DifferentiableAt.const_mul, iteratedFDeriv_neg_apply, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorphOfComplemented_source, Asymptotics.IsBigOTVS.fun_symm, VectorField.lieBracket_eq, fderiv_norm_smul_neg, meromorphicNFOn_fun_inv, Seminorm.continuousAt_zero', DifferentiableAt.fun_sub, hasMFDerivWithinAt_fst, ContinuousLinearMap.coe_restrict_scalarsL', differentiableAt_fst, fderivWithin_fderivWithin_eq_of_eventuallyEq, NormedField.nhdsNE_neBot, DoubleCentralizer.star_fst, HasDerivAt.nonpos_of_antitone, differentiableOn_pi'', InnerProductSpace.laplacianWithin_smul, StrongDual.polarSubmodule_eq_polar, HasDerivWithinAt.Ici_of_Ioi, summable_prod_mul_pow, HasDerivAt.tendsto_nhdsNE, PiTensorProduct.liftEquiv_symm_apply, HasFDerivWithinAt.uniqueDiffWithinAt, ContinuousLinearMap.fpowerSeries_apply_add_two, iteratedDeriv_mul, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, mfderivWithin_eventually_congr_set', meromorphicOrderAt_inv, extDerivWithin_fun_smul, DifferentiableWithinAt.fun_mul, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, Asymptotics.isLittleOTVS_fun_neg_right, MDifferentiableWithinAt.mpullbackWithin_vectorField_inter_of_eq, ContMDiffOn.clm_comp, ftaylorSeries_fun_zero, WithLp.contDiff_toLp, SchauderBasis.proj_apply, AnalyticAt.analyticOrderAt_deriv_add_one, HasDerivAt.add_const, meromorphicOrderAt_fun_prod, ContinuousMultilinearMap.opNorm_zero, CovariantDerivative.affine_combination_toFun, AnalyticOn.zpow_nonneg, Bundle.Trivialization.continuousLinearMapAt_symmL, iteratedFDerivWithin_one_apply, Asymptotics.IsLittleOTVS.triangle, MeromorphicAt.iterated_deriv, ContDiffWithinAt.domDomCongr_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul', HasDerivAt.of_isLittleO, FormalMultilinearSeries.ofScalars_norm_le, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Seminorm.uniformSpace_eq_of_hasBasis, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, UniqueDiffOn.image, IsLocalFrameOn.toBasisAt_coe, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, Submodule.norm_subtypeL, AffineSubspace.closed_of_finiteDimensional, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, contDiffAt_piLp', ContDiff.continuous_iteratedDeriv, MDifferentiableOn.prodMap, HasDerivAt.sub_const, hasFDerivAt_finCons', HasDerivWithinAt.derivWithin, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, contDiffPointwiseHolderAt_iff, contDiff_pi', ContinuousLinearMap.aestronglyMeasurable_comp₂, differentiableWithinAt_comp_sub, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, HasDerivWithinAt.rpow, MDifferentiableAt.smul_section, mdifferentiableAt_prod_module_iff, Asymptotics.IsBigOTVS.congr_left, ContDiffWithinAt.ccos, HasFDerivAt.finCons, deriv_fun_add, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, Asymptotics.IsLittleOTVS.smul_left, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub, hasDerivAt_of_tendstoUniformlyOn, ContinuousLinearMap.opNorm_le_of_ball, ContMDiffWithinAt.mpullback_vectorField_preimage_of_eq, fderiv_fun_sum, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, ContDiffAt.div, Asymptotics.IsBigOTVS.proj, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, HasDerivWithinAt.nonneg_of_monotoneOn, ContinuousAffineMap.contDiff, MDifferentiableOn.prod, ContDiffAt.rpow_const_of_ne, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, tangentCoordChange_comp, Real.iteratedDerivWithin_sinh_Icc, Complex.differentiableAt_exp, iteratedDerivWithin_zpow, HasFDerivWithinAt.fun_neg, LinearIsometry.norm_iteratedFDeriv_comp_left, HasStrictDerivAt.scomp_of_eq, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, HasStrictDerivAt.fun_finset_prod, LinearMap.range_toContinuousLinearMap, FiberBundle.mdifferentiableAt_extend, LineDifferentiableAt.congr_of_eventuallyEq, ContinuousLinearMap.equivRange_symm_toLinearEquiv, fderiv_const_smul_of_invertible, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, hasFDerivWithinAt_pow', HasFTaylorSeriesUpToOn.continuousLinearMap_comp, SchauderBasis.bddAbove_range_nnnorm_proj, AffineMap.differentiableAt, hasStrictDerivAt_finCons', contMDiffOn_baseSet_localFrame_coeff, hasDerivWithinAt_taylorWithinEval_at_Icc, MeromorphicOn.meromorphicNFAt_mem_codiscreteWithin, dist_iteratedFDerivWithin_zero, ContinuousLinearMap.hasFDerivAtFilter, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, meromorphicNFAt_iff_analyticAt_or, HasFPowerSeriesOnBall.hasSum, ContinuousLinearMap.isBoundedLinearMap_comp_right, HasFDerivAt.iterate, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, Subalgebra.spectrum_eq_of_isPreconnected_compl, NormedSpace.isVonNBounded_iff', ContinuousLinearMap.opNorm_le_bound, WeakDual.isSeqCompact_closedBall, TestFunction.lineDerivCLM_add, differentiableOn_fun_neg_iff, hasStrictDerivAt_finCons, PiTensorProduct.liftEquiv_apply, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorph_target, HasFDerivAt.cexp, extDerivFun_zero, DoubleCentralizer.add_snd, Asymptotics.IsLittleOTVS.trans_isBigOTVS, WeakDual.isBounded_iff_isVonNBounded, HasDerivWithinAt.congr_of_eventuallyEq_of_mem, MeromorphicAt.eventuallyEq_zero_nhdsNE_of_eventuallyEq_zero_codiscreteWithin, has_antideriv_at_fourier_neg, AnalyticWithinAt.aeval_polynomial, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, HasDerivWithinAt.ccosh, fderivWithin_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul_apply', ContDiffWithinAt.clm_comp, toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhds, ContinuousMultilinearMap.contDiff, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_self, MultilinearMap.mkContinuousLinear_norm_le, 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, ContinuousLinearMap.deriv_of_bilinear, ContDiffWithinAt.inv, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, VectorBundleCore.coe_coordChange, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, HasFDerivAt.of_local_left_inverse, AffineMap.lipschitzWith_of_finiteDimensional, mdifferentiableWithinAt_iff_differentiableWithinAt, ContinuousLinearMap.isClosed_range_iff_antilipschitz_of_injective, Polynomial.hasFDerivAt, isOpen_setOf_affineIndependent, tendsto_zero_of_meromorphicOrderAt_pos, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, ContDiffWithinAt.prodMap', HasDerivAtFilter.star, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, IsContinuousRiemannianBundle.exists_continuous, Bornology.isVonNBounded_iff_smul_tendsto_zero, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, Filter.EventuallyEq.hasLineDerivWithinAt_iff_of_mem, VectorBundle.continuousLinearEquivAt_apply, modelWithCorners_prod_coe_symm, differentiableOn_add_const_iff, DoubleCentralizer.norm_snd, Real.contDiff_arsinh, NormedField.exists_enorm_lt, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, LinearEquiv.coe_toContinuousLinearEquiv', hasFDerivWithinAt_one, HasDerivAt.sinh, Bundle.Trivialization.symmL_continuousLinearMapAt, HasDerivAtFilter.scomp, ContinuousLinearMap.antilipschitz_antiLipschitzConstant_of_injective_of_isClosed_range, AnalyticOnNhd.aeval_mvPolynomial, ContinuousLinearEquiv.nhds, ContDiffAt.derivWithin, ContinuousAlternatingMap.le_opNorm_mul_pow_of_le, MDifferentiable.prodMk_space, AnalyticOnNhd.preimage_zero_mem_codiscrete, fderivWithin_id', 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, fderivWithin_mul_const', ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, Complex.hasDerivAt_cos, HasDerivWithinAt.fun_smul, ContDiffAt.arctan, IsBilinearMap.toContinuousBilinearMap_apply, DifferentiableAt.lineDifferentiableAt, ContDiffOn.derivWithin, MDifferentiableWithinAt.clm_apply_of_inCoordinates, Valued.integer.norm_le_one, TestFunction.lineDerivOp_eq_lineDerivCLM, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, 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, AnalyticWithinAt.fun_inv, HasStrictDerivAt.fun_div, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, Convex.exists_forall_hasDerivWithinAt, PiTensorProduct.mapL_mul, hasDerivWithinAt_taylor_coeff_within, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_left, differentiableAt_comp_const_sub, meromorphicNFOn_mul_iff_left_of_analyticOnNhd, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, hasFDerivAt_ofNat, analyticOrderAt_mul, Module.Basis.equivFunL_apply, IsBoundedBilinearMap.differentiableAt, hasFDerivAt_list_prod_finRange', ContDiffOn.differentiableOn_one, ContDiff.smulRight, Bundle.mdifferentiableWithinAt_proj, ContinuousMultilinearMap.flipLinear_apply_apply, Asymptotics.IsBigOTVS.trans_isLittleOTVS, HasStrictFDerivAt.neg, contDiffOn_euclidean, mfderiv_add, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, ContDiffOn.log, LinearMap.hasDerivWithinAt, IsLocalFrameOn.contMDiffOn, Differentiable.const_add, DifferentiableOn.add_iff_right, Real.fourier_fderiv, MeromorphicOn.inv_iff, DifferentiableWithinAt.restrictScalars, ContinuousLinearMap.lipschitzWith_of_opNorm_le, FormalMultilinearSeries.comp_id, differentiableWithinAt_star_iff, ContinuousMultilinearMap.hasStrictFDerivAt, hasFDerivAt_of_tendsto_locally_uniformly_on', ContDiffOn.differentiableOn_iteratedDerivWithin, fderivWithin_comp_smul_eq_fderivWithin_smul, Continuous.continuousLinearMapCoprod, ContinuousLinearMap.isLeast_opNNNorm, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, FormalMultilinearSeries.cpolynomialAt_changeOrigin_of_finite, hasFTaylorSeriesUpTo_succ_nat_iff_right, IsCovariantDerivativeOn.leibniz, ContDiffMapSupportedIn.seminorm_top_le_iff, iteratedFDeriv_add, hasFDerivWithinAt_zero, meromorphicTrailingCoeffAt_const, HasFDerivWithinAt.norm_sq, ordinaryHypergeometric_radius_top_of_neg_nat₂, hasFDerivWithinAt_piLp, differentiableOn_piLp, Differentiable.comp_differentiableOn, Asymptotics.isLittleOTVS_iff_smallSets, hasDerivAt_fourier_neg, MDifferentiableAt.clm_comp, DifferentiableWithinAt.div_const, nhds_hasBasis_absConvex, HasFiniteFPowerSeriesOnBall.differentiableOn, HasDerivAt.clm_comp, ContDiffWithinAt.sinh, norm_fderiv_norm_rpow_le, DifferentiableWithinAt.sub, HasFPowerSeriesOnBall.neg, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, VectorBundle.continuousOn_coordChange', HasDerivWithinAt.differentiableWithinAt, HasFDerivWithinAt.smul_const, 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, spectralNorm_unique, NormedSpace.inclusionInDoubleDualWeak_apply, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, HasStrictFDerivAt.add, Real.iteratedDeriv_odd_sinh, iteratedFDeriv_eq_equiv_comp, Complex.hasStrictDerivAt_log, LinearMap.toContinuousLinearMap_eq_iff_eq_toLinearMap, MDifferentiableOn.clm_bundle_apply, meromorphicTrailingCoeffAt_inv, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, IsBoundedBilinearMap.hasFDerivWithinAt, MeromorphicAt.id, ContinuousWithinAt.clm_apply, Real.hasDerivAt_cos, ContinuousMap.toLp_norm_eq_toLp_norm_coe, mfderivWithin_comp_of_preimage_mem_nhdsWithin, MDifferentiableWithinAt.prodMk, DifferentiableAt.inv, hasFTaylorSeriesUpToOn_succ_nat_iff_right, HasDerivWithinAt.comp_hasDerivAt_of_eq, AnalyticAt.fun_zpow, HasFDerivWithinAt.finCons, ContinuousMultilinearMap.uniformContinuous_restrictScalars, hasDerivAtFilter_iff_isLittleO, HasDerivAt.fun_const_smul, HasDerivAt.fun_sub, Bundle.Trivialization.mdifferentiableOn_section_iff, AnalyticOnNhd.cexp, HasStrictFDerivAt.restrictScalars, DifferentiableWithinAt.inv, ContinuousLinearMap.coe_linearMap_equivRange, tangentMapWithin_prodFst, ContinuousLinearMap.le_of_opNorm_le, deriv_comp, PiTensorProduct.mapL_comp, derivWithin_cexp, Differentiable.neg, 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, FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq, ContMDiffWithinAt.finsum_section_of_locallyFinite, HasDerivAtFilter.add_const, NormedSpace.algebraMap_exp_comm, Meromorphic.fun_smul, Bundle.contMDiffWithinAt_totalSpace, Asymptotics.isBigOTVS_neg_left, mdifferentiableOn_iff_of_subset_source, HasDerivAt.clog, ContDiff.rpow, Filter.EventuallyEq.derivWithin_eq, ContDiff.comp_continuousLinearMap, exists_dual_vector, mfderiv_extChartAt_self, hasFDerivWithinAt_comp_smul_smul_iff, banach_steinhaus, differentiableAt_const_add_iff, DifferentiableAt.fun_pow, HasStrictDerivAt.congr_deriv, ProbabilityTheory.hasDerivAt_complexMGF, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, MeromorphicOn.divisor_fun_zpow, stronglyMeasurable_lineDeriv_uncurry, fderiv.snd, DifferentiableWithinAt.isBigOTVS_sub, ContMDiffWithinAt.smul, 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, Asymptotics.IsLittleOTVS.congr', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', fderivWithin_zero_of_notMem_closure, derivWithin_mul_const_field, logDeriv_apply, ContinuousLinearMap.le_opNorm_of_le, iteratedDeriv_comp_const_smul, iteratedDerivWithin_one_div, DifferentiableWithinAt.fun_div, derivWithin_zero_of_notMem_closure, ContinuousMultilinearMap.opNorm_pi, ContDiffWithinAt.derivWithin, ContDiff.exp, FormalMultilinearSeries.changeOrigin_eval_of_finite, ContinuousLinearEquiv.lipschitz, iteratedDeriv_vcomp_three, VectorField.fderivWithin_apply_lieBracket_of_isSymmSndFDerivWithinAt, Seminorm.map_eq_zero_of_norm_eq_zero, Diffeomorph.coe_prodComm, fderivWithin_fun_pow, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, iteratedFDerivWithin_two_apply', HasDerivAt.const_smul, Real.hasDerivWithinAt_arcsin_Ici, OpenPartialHomeomorph.MDifferentiable.comp_symm_deriv, UniqueDiffWithinAt.smul_iff, HasStrictFDerivAt.arctan, hasMFDerivAt_inl, HasStrictDerivAt.hasStrictFDerivAt, deriv.scomp, HasStrictDerivAt.add, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAtFilter.const_smul, HasStrictFDerivAt.to_implicitFunction, Bundle.Trivialization.contMDiffWithinAt_iff, differentiableAt_finCons, DifferentiableOn.const_sub, ContinuousLinearMap.opNNNorm_le_bound', NormedSpace.equicontinuous_TFAE, ContinuousLinearMap.differentiable, hasDerivAt_taylorWithinEval_succ, AlternatingMap.norm_image_sub_le_of_bound, IsMIntegralCurveAt.hasMFDerivAt, HasFDerivAt.multiset_prod, extDerivFun_add, DifferentiableOn.const_add, HasFTaylorSeriesUpTo.tsupport_subset, LinearEquiv.toLinearEquiv_toContinuousLinearEquiv, mdifferentiableWithinAt_sub_section, contDiffWithinAt_succ_iff_hasFDerivWithinAt', deriv_fun_sub, IsLocalFrameOn.eventually_eq_sum_coeff_smul, hasFDerivAt_of_restrictScalars, FiniteDimensional.of_isCompact_closedBall, Bundle.mdifferentiableOn_proj, Filter.EventuallyEq.iteratedFDerivWithin', Differentiable.mul_const, contDiffOn_succ_iff_hasFDerivWithinAt, HasFDerivAt.mul_const, contDiffOn_prod_iff, fderivWithin_add_const, NormedSpace.expSeries_radius_eq_top, Bundle.Pretrivialization.continuousLinearMap_symm_apply, Filter.EventuallyEq.extDerivWithin', differentiableWithinAt_euclidean, DifferentiableAt.fun_sub_iff_right, ContinuousLinearMap.opNorm_add_le, iteratedDerivWithin_fun_id, HasSum.exists_hasSum_smul_of_apply_eq_zero, 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, HasDerivAtFilter.scomp_of_eq, HasDerivWithinAt.deriv_eq_zero, ContinuousLinearMap.coe_restrictScalarsIsometry, HasLineDerivWithinAt.hasLineDerivAt, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, contDiff_apply_apply, HasDerivAt.scomp_hasDerivWithinAt_of_eq, SchauderBasis.exists_norm_proj_le, ContinuousLinearMap.norm_inr, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, VectorField.mlieBracketWithin_smul_left, mdifferentiableWithinAt_add_section, VectorBundle.continuousLinearEquivAt_symm_apply, ContinuousLinearMap.differentiableWithinAt, continuousMultilinearCurryFin0_apply, HasFDerivWithinAt.const_add, HasFDerivWithinAt.mapsTo_tangent_cone, PiTensorProduct.dualSeminorms_bounded, FormalMultilinearSeries.radius_neg, VectorPrebundle.pretrivialization_linear', Function.FactorizedRational.analyticAt, HasFDerivWithinAt.mul_const', HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, Complex.contDiff_exp, HasStrictFDerivAt.iterate, ContinuousLinearMap.opNNNorm_le_of_unit_nnnorm, HasDerivAt.comp_const_sub, HasDerivAt.norm_sq, ContinuousLinearMap.opNorm_extend_le, HasDerivWithinAt.add, ContinuousMultilinearMap.curryMidEquiv_apply, complexOfReal_deriv, fderiv_const_mul, ApproximatesLinearOn.lipschitz_sub, ContinuousMultilinearMap.iteratedFDeriv_eq, FormalMultilinearSeries.le_mul_pow_of_radius_pos, HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal, HasStrictFDerivAt.continuousMultilinear_apply_const, Asymptotics.IsLittleOTVS.sup, ContDiffMapSupportedIn.monoLM_eq_zero, ValueDistribution.logCounting_mul_top_le, fderiv_sub_const, ContMDiffWithinAt.mpullbackWithin_vectorField', ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, MDifferentiableAt.mfderiv, hasFDerivAt_pi'', ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, fderiv_exp, ContDiffAt.log, DoubleCentralizer.algebraMap_snd, WeakDual.polar_def, UnconditionalSchauderBasis.norm_proj_le_nnnormProjBound, Real.analyticOnNhd_arsinh, ContinuousLinearMap.differentiableAt, ContinuousOn.continuousOn_iteratedFDerivWithin, AnalyticAt.analyticOrderNatAt_eq_iff, fderiv_arctan, fderivWithin_const, MonotoneOn.derivWithin_nonneg, MeasureTheory.integrable_smul_const, SchauderBasis.RankOneDecomposition.basisCoeff_spec, hasFiniteFPowerSeriesOnBall_const, Real.analyticAt_arcosh, contDiffAt_inv, ContDiffAt.real_of_complex, iteratedFDerivWithin_succ_apply_left, Differentiable.sub, HasFDerivAtFilter.fun_const_smul, NormedField.exists_one_lt_nnnorm, iteratedFDerivWithin_add_apply, hasStrictFDerivAt_norm_sq, CovariantDerivative.zero, fderiv_tsum, HasCompactMulSupport.eq_one_or_finiteDimensional, LinearIsometryEquiv.comp_differentiableWithinAt_iff, support_deriv_subset, DoubleCentralizer.one_snd, DifferentiableOn.continuousMultilinear_apply_const, ContDiff.differentiable_iteratedDeriv, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Differentiable.add_iff_left, Asymptotics.IsBigOTVS.prodMk, ContinuousMultilinearMap.norm_mkPiAlgebra, ContDiffOn.sin, WeakDual.withSeminorms, cobounded_neBot, DifferentiableAt.fun_const_smul, contDiffOn_infty_iff_fderiv_of_isOpen, HasStrictDerivAt.eventually_right_inverse, hasDerivWithinAt_natCast, MeromorphicOn.divisor_fun_mul, ContinuousLinearEquiv.comp_right_fderivWithin, MeromorphicOn.divisor_zpow, fderivWithin_comp_of_eq, hasFDerivWithinAt_tangentCoordChange, Real.contDiff_sin, equivTangentBundleProd_symm_apply_snd, contDiffAt_prod, ContinuousLinearEquiv.analyticOn, ContinuousMultilinearMap.opNorm_add_le, fderiv_pow_ring', ContinuousLinearMap.bilinearComp_apply, differentiableAt_piLp, derivWithin_pow_field, differentiableWithinAtProp_self_source, HasDerivAtFilter.isBigO_sub, MDifferentiable.sum_section, iteratedDeriv_comp_neg, fderiv_natCast, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, logDeriv_id, MDifferentiableWithinAt.mfderivWithin, HasStrictDerivAt.log, NormedField.exists_enorm_lt_one, iteratedFDerivWithin_zero, HasFDerivAtFilter.fun_sub, upperHemicontinuous_quasispectrum, OpenPartialHomeomorph.MDifferentiable.mfderiv_bijective, ContinuousMultilinearMap.norm_restrictScalars, fderiv_const, analyticOn_taylorComp, DiffContOnCl.smul_const, ContMDiffWithinAt.clm_bundle_apply₂, Polynomial.differentiableAt_aeval, Filter.EventuallyEq.lineDifferentiableWithinAt_iff_of_mem, ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply, WeakDual.CharacterSpace.compContinuousMap_apply, fderivWithin_snd, HasDerivAt.fun_div, WithLp.contDiff_ofLp, ContinuousOn.prod_mapL, iteratedFDerivWithin_prodMk, 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, continuousMultilinearCurryFin0_symm_apply_apply, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, HasDerivWithinAt.fun_const_smul, deriv_cexp, HasStrictFDerivAt.leftFun_implicitFunctionDataOfProdDomain, 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, DifferentiableWithinAt.finset_prod, hasDerivAt_integral_of_dominated_loc_of_deriv_le, tangentBundleCore_coordChange_model_space, DifferentiableWithinAt.fun_neg, IsLocalFrameOn.contMDiffAt, Real.differentiable_iteratedDeriv_cos, Polynomial.hasFDerivAt_aeval, contMDiffAt_hom_bundle, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDeriv_right, ContinuousAt.continuousLinearMapCoprod, VectorField.mlieBracketWithin_smul_right, meromorphicOrderAt_div, DoubleCentralizer.instIsCentralScalar, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, NormedField.continuousAt_inv, HasDerivWithinAt.const_mul, NormedSpace.polar_closure, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', HasFDerivAt.continuousAlternatingMap_apply_const, ContDiff.ccosh, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, MeasureTheory.MemLp.continuousLinearMap_comp, AnalyticOnNhd.codiscreteWithin_setOf_analyticOrderAt_eq_zero_or_top, norm_fderiv_iteratedFDeriv, TestFunction.lineDerivCLM_eq_fderivCLM, binomialSeries_radius_eq_top_of_nat, HasDerivWithinAt.div, MeasureTheory.Lp.norm_constL_le, meromorphicOrderAt_smul, Asymptotics.isLittleOTVS_map, ContMDiffOn.prodMap, IccLeftChart_extend_bot, conformalFactorAt_inner_eq_mul_inner', hasFDerivAtFilter_snd, MDifferentiable.sum_section_of_locallyFinite, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, ContMDiffRing.contMDiff_mul, hasFDerivAt_pow, LinearIsometryEquiv.analyticOn, ContDiffAt.ccosh, HasDerivWithinAt.arctan, LinearIsometryEquiv.analyticAt, contMDiff_prod_iff, Matrix.l2_opNNNorm_def, ValueDistribution.logCounting_top_mul_eventually_le, hasMFDerivAt_const, ContinuousMultilinearMap.instIsBoundedSMul, MeromorphicOn.inv, ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal, hasDerivAtFilter_sub_const_iff, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.integrable_comp, ImplicitFunctionData.differentiableAt_implicitFunction, HasStrictFDerivAt.const_sub, mdifferentiableOn_baseSet_localFrame_coeff, FiberBundle.extChartAt, GeneralSchauderBasis.proj_empty, HasFDerivAt.sub_const, fderiv_sub, MDifferentiableWithinAt.sum_section_of_locallyFinite, HasStrictDerivAt.const_add, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, dslope_same, hasDerivAt_exp, Complex.analyticOn_cos, contDiffOn_succ_iff_deriv_of_isOpen, ContDiffOn.clm_comp, hasFDerivAt_single, ContMDiffAt.mlieBracket_vectorField, LeftInvariantDerivation.coe_add, ContMDiffAt.clm_precomp, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, SchauderBasis.RankOneDecomposition.finrank_range, Differentiable.iterate, ContMDiffOn.add_section, deriv_smul, Real.hasStrictDerivAt_arsinh, VectorField.mpullbackWithin_smul_apply, ContDiffOn.continuousOn_fderivWithin_apply, DifferentiableOn.fun_add_iff_right, iter_deriv_pow', HasFDerivWithinAt.iterate, Asymptotics.IsBigOTVS.symm, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, HasMFDerivWithinAt.sum, DifferentiableOn.fun_comp, 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, AlternatingMap.norm_image_sub_le_of_bound', MeromorphicAt.eventually_analyticAt, AnalyticWithinAt.pi, ContinuousLinearMap.isBigOWith_comp, ContinuousLinearMap.flip_add, contDiffAt_apply, hasFiniteFPowerSeriesAt_const, MDifferentiable.clm_prodMap, continuous_clm_apply, AnalyticAt.aeval_polynomial, Seminorm.uniformContinuous, MeromorphicOn.eventually_codiscreteWithin_analyticAt, LinearIsometry.coe_toSpanSingleton, Real.contDiff_cos, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, ContinuousLinearEquiv.isBigO_sub_rev, deriv_neg'', writtenInExtChartAt_prod, HasFDerivWithinAt.restrictScalars, DoubleCentralizer.pow_toProd, measurable_fderiv_apply_const, ContMDiff.finsum_section_of_locallyFinite, HasDerivWithinAt.clog, IsLocalFrameOn.coeff_apply_of_notMem, VectorBundleCore.localTriv_coordChange_eq, ContinuousMultilinearMap.uncurryRight_apply, HasDerivAt.comp_const_add, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', mfderivWithin_zero_of_not_mdifferentiableWithinAt, DifferentiableAt.sub_iff_left, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, fderiv_inv, MeromorphicAt.fun_deriv, differentiableWithinAt_iff_restrictScalars, DifferentiableOn.continuousAlternatingMap_apply, Differentiable.prodMk, ContDiffWithinAt.comp_continuousLinearMap, meromorphicNFAt_fun_prod, ModelWithCorners.hasMFDerivWithinAt, tangentBundleCore_coordChange, derivWithin_comp_mul_left, MeasureTheory.L1.nnnorm_Integral_le_one, Manifold.riemannianEDist_def, HasFDerivAtFilter.prodMk, hasDerivAt_circleMap, LinearIsometry.norm_iteratedFDerivWithin_comp_left, HasFDerivAtFilter.isLittleO, derivWithin_zero_of_not_uniqueDiffWithinAt, contMDiffAt_localFrame_coeff, derivWithin_fun_smul, ContinuousLinearMap.bilinearComp_zero, HasFDerivAt.fun_pow', HasDerivWithinAt.scomp_hasDerivAt_of_eq, dslope_of_ne, HasCompactSupport.eq_zero_or_finiteDimensional, DifferentiableAt.prodMk, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, Real.iteratedDeriv_even_cos, HasMFDerivWithinAt.mul', ContinuousLinearEquiv.norm_symm_pos, norm_deriv_le_of_lipschitz, fderivWithin_comp', ContinuousMultilinearMap.cpolynomialAt, MultilinearMap.mkContinuousLinear_norm_le', analyticAt_fst, HasStrictDerivAt.cpow_const, ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, PointedContMDiffMap.instIsScalarTowerSomeENatTop, iteratedDeriv_comp_const_add, ContDiffOn.div, Bundle.contMDiffWithinAt_proj, modelWithCornersEuclideanHalfSpace_zero, contDiffOn_fderiv_coord_change, HasFPowerSeriesWithinAt.differentiableWithinAt, Bundle.Trivialization.coordChangeL_prod, ContinuousMultilinearMap.ratio_le_opNorm, LinearMap.continuous_of_locally_bounded, ContDiff.iterate_deriv, HasFDerivAtFilter.fun_add, HasDerivWithinAt.neg, MeromorphicOn.logDeriv, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, ContinuousLinearMap.norm_extendTo𝕜'_bound, ModelWithCorners.boundary_of_boundaryless_left, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, Complex.iteratedDeriv_add_one_sinh, extDeriv_add, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, HasFDerivWithinAt.hasDerivWithinAt, HasFTaylorSeriesUpToOn.differentiableAt, Complex.hasDerivAt_sqrt, HasStrictDerivAt.smul_const, hasDerivAt_iff_hasFDerivAt, ContDiffWithinAt.rpow, MultilinearMap.continuous_of_bound, ContDiffOn.fun_div, HasStrictDerivAt.sub, ContDiff.deriv', DifferentiableOn.add_iff_left, HasFiniteFPowerSeriesOnBall.neg, ContinuousWithinAt.of_dslope, derivWithin_intCast, HasGradientWithinAt.fderivWithin_apply, ContMDiffOn.clm_apply, HasDerivWithinAt.Ioo_of_Ioi, HasFDerivAtFilter.comp, NormedField.exists_lt_norm, SchauderBasis.finrank_range_succSub_eq_one, Complex.iteratedDeriv_even_cos, norm_derivWithin_eq_norm_fderivWithin, lineDifferentiableWithinAt_smul_iff, differentiableWithinAt_dslope_of_ne, ApproximatesLinearOn.antilipschitz, iteratedFDeriv_zero_apply, DifferentiableWithinAt.smul_const, WeakDual.isClosed_closedBall, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, AffineMap.derivWithin, contDiff_succ_iff_fderiv_apply, HasDerivAt.arsinh, Meromorphic.fun_zpow, hasDerivAt_fourier, coe_lpPiLpₗᵢ, AnalyticOn.inv, Submodule.complete_of_finiteDimensional, Asymptotics.IsBigOTVS.congr_right, Complex.iteratedDeriv_add_one_sin, VectorBundleCore.localTriv_apply, LinearIsometry.inr_apply, fderiv_ccos, DoubleCentralizer.zero_fst, Meromorphic.fun_mul, fderiv_update, StrongDual.extendRCLikeₗᵢ_symm_apply, Asymptotics.IsThetaTVS.isBigOTVS, ContDiffOn.continuousOn_derivWithin, extDerivWithin_apply_vectorField, ContinuousLinearMap.hasFDerivWithinAt, fdifferential_comp, ContDiffWithinAt.ccosh, hom_trivializationAt, modelWithCornersSelf_prod, Bundle.contMDiffAt_totalSpace, Diffeomorph.uniqueDiffOn_image, FormalMultilinearSeries.le_comp_radius_of_summable, ContinuousLinearMap.le_opNorm₂, DifferentiableOn.fun_sum, ContinuousLinearMap.lpPairing_eq_integral, Seminorm.continuous_iff, HasFDerivAt.smul_const, ContinuousLinearMap.norm_iteratedFDeriv_comp_left, LinearMap.clmOfExistsBoundedImage_apply, ContinuousLinearMap.norm_uncurryMid, IsLocalFrameOn.linearIndependent, analyticWithinAt_fst, DifferentiableWithinAt.neg, ContDiff.clm_comp, ContDiff.fderiv_apply, ContinuousLinearMap.opNorm_mul_le, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, hasFDerivAtFilter_fst, ContDiffWithinAt.fderivWithin', differentiableWithinAt_comp_add_right, ContinuousLinearMap.opNorm_subsingleton, hasStrictDerivAt_abs_neg, HasFDerivAt.comp_hasDerivWithinAt, ContinuousLinearMap.holder_smul_right, NormedSpace.exp_hasFPowerSeriesAt_zero, Filter.EventuallyEq.fderiv, HasFDerivWithinAt.multilinear_comp, HasFPowerSeriesOnBall.tendstoUniformlyOn', HasFPowerSeriesWithinOnBall.const_smul, fderiv_apply_one_eq_deriv, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, MDifferentiableAt.clm_apply_of_inCoordinates, Asymptotics.IsLittleOTVS.comp_tendsto, HasFTaylorSeriesUpToOn.compContinuousLinearMap, hasFDerivAt_zero_of_eventually_const, MDifferentiableAt.prodMk_space, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_top, WithLp.analyticOn_toLp, AnalyticAt.fun_mul, ContinuousAlternatingMap.continuous_restrictScalars, ContDiffOn.continuousOn_fderivWithin, HasFPowerSeriesOnBall.sub, ContDiffAt.snd', contDiffAt_succ_iff_hasFDerivAt, fderivWithin_const_smul_of_invertible, TestFunction.monoCLM_eq_of_scalars, hasFDerivAt_const, HasFDerivAt.inner, HasDerivAt.rpow, meromorphicTrailingCoeffAt_id_sub_const, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, Asymptotics.IsLittleOTVS.congr, contDiffOn_piLp, MeasureTheory.Integrable.convolution_integrand, HasFDerivAtFilter.star, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, derivWithin_fun_sub, measurableSet_of_differentiableAt, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, fderivWithin_exp, ContMDiffWithinAt.clm_bundle_apply, AnalyticOnNhd.eqOn_or_eventually_ne_of_preconnected, Differentiable.clm_apply, deriv_inv'', ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, DifferentiableAt.mul_const, ContMDiff.clm_bundle_apply, NormedSpace.vonNBornology_eq, Real.analyticWithinAt_cos, contDiff_add, HasStrictFDerivAt.fun_sub, IsBoundedLinearMap.hasFDerivAtFilter, MeromorphicNFAt.zpow, HasFDerivAt.lim, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, ContinuousLinearMap.isometry_mul, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', ContinuousLinearMap.antilipschitz_of_injective_of_isClosed_range, ContinuousLinearMap.isOpen_injective, isCoveringMapOn_npow, mdifferentiableWithinAt_iff', ContDiff.continuous_iteratedFDeriv', logDeriv_eq_zero_of_not_differentiableAt, logDeriv_id', Complex.analyticAt_sinh, HasFDerivAt.const_mul, Meromorphic.pow, DifferentiableOn.snd, LeftInvariantDerivation.coe_neg, Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, DifferentiableWithinAt.restrictScalars_fderivWithin, HasStrictFDerivAt.isEquivalent_sub, UniqueMDiffOn.tangentBundle_proj_preimage, HasStrictFDerivAt.continuousAlternatingMap_apply, HasLineDerivAt.congr_of_eventuallyEq, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, Valued.integer.coe_span_singleton_eq_closedBall, differentiable_const_add_iff, Polynomial.differentiableOn, hasFDerivAt_of_tendstoLocallyUniformlyOn, HasDerivAtFilter.congr_of_eventuallyEq, contMDiffWithinAt_comp_projIcc_iff, constFormalMultilinearSeries_apply_of_nonzero, HasFTaylorSeriesUpToOn.add, NormedSpace.norm_expSeries_summable', MeasureTheory.dist_convolution_le', formalMultilinearSeries_geometric_eq_ofScalars, DifferentiableAt.of_dslope, DifferentiableOn.fun_inv, isQuotientCoveringMap_zpow, AnalyticOnNhd.eval_polynomial, differentiableOn_neg, fderivWithin_multiset_prod, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, MDifferentiable.mul, VectorField.lieBracket_const_smul_right, Asymptotics.isBigOTVS_pi, Asymptotics.IsBigO.hasFDerivWithinAt, LinearMap.opNorm_extendOfNorm_le, LinearMap.continuous_of_nonzero_on_open, Continuous.prod_map_equivL, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_zero, CovariantDerivative.torsion_eq_zero_iff, HasDerivWithinAt.csin, Complex.iteratedDeriv_add_one_cos, DifferentiableWithinAt.clm_comp, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, MDifferentiableOn.cle_arrowCongr, InnerProductSpace.innerSL_norm, differentiableAt_fun_neg_iff, fderiv_add, SchauderBasis.proj_comp, MultilinearMap.mkContinuousMultilinear_norm_le', SchwartzMap.le_seminorm, IsLocalDiffeomorph.mfderivToContinuousLinearEquiv_coe, DoubleCentralizer.nnnorm_fst_eq_snd, Unitization.norm_def, ContMDiff.clm_bundle_apply₂, differentiableOn_neg_iff, MDifferentiableAt.smul, HasStrictDerivAt.const_smul, ContinuousLinearMap.measurable_apply, deriv_neg', HasDerivAt.fun_sum, deriv_zero_of_frequently_const, fderivWithin_neg, hasFDerivAtFilter_iff_isLittleOTVS, IsBoundedBilinearMap.fderiv, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, ContinuousMultilinearMap.norm_ofSubsingleton_id_le, derivWithin_zero_of_not_accPt, second_derivative_symmetric, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, HasFDerivAtFilter.fst, ContDiff.fourierPowSMulRight, AnalyticAt.of_meromorphicOrderAt_pos, MeromorphicOn.fun_zpow, mdifferentiable_snd, ContMDiffWithinAt.mfderivWithin, ContinuousLinearMap.sSup_unit_ball_eq_nnnorm, differentiableWithinAt_pi, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, Bundle.Trivialization.baseSet_continuousLinearMap, MDifferentiableOn.sum_section, IsCompactOperator.image_subset_compact_of_bounded, contDiffOn_inv, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, eventually_norm_symmL_trivializationAt_comp_self_lt, Filter.EventuallyEq.derivWithin_eq_of_mem, HasFDerivAt.comp_hasDerivWithinAt_of_eq, CPolynomialOn.deriv, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', Filter.EventuallyEq.deriv_eq, ContDiffAt.rpow_const_of_le, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, MeromorphicAt.pow, mfderivWithin_const, fderivWithin_comp₃, Real.contDiffAt_rpow_const, AnalyticAt.iterated_deriv, hasStrictFDerivAt_pow', Polynomial.hasStrictDerivAt_aeval, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, mdifferentiableAt_prod_iff, VectorPrebundle.exists_coordChange, HasFDerivWithinAt.snd, DoubleCentralizer.one_fst, AnalyticWithinAt.div_const, Complex.digamma_def, ContinuousLinearMap.norm_extendTo𝕜', MDifferentiable.prodMk, MDifferentiableOn.clm_apply, OpenPartialHomeomorph.extend_prod, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, DifferentiableWithinAt.pow, AnalyticOnNhd.deriv_of_isOpen, StrongDual.polar_univ, Asymptotics.IsLittleOTVS.fun_symm, HasDerivAtFilter.const_add, NormedAlgebra.instRegularNormedAlgebra, fderivWithin_eventually_congr_set, HasDerivWithinAt.of_notMem_tsupport, FiberBundle.contMDiffAt_extend', differentiableAt_iff_comp_const_sub, MDifferentiableAt.clm_precomp, ContDiffMapSupportedIn.postcompCLM_apply, FiniteDimensional.of_totallyBounded_nhds, HasDerivWithinAt.mono_of_mem_nhdsWithin, contMDiffWithinAt_fst, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, norm_lineDeriv_le_of_lipschitzOn, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ContinuousAlternatingMap.restrictScalarsLI_apply, fderivWithin_fun_const, DifferentiableWithinAt.sub_const, Bundle.contMDiffOn_proj, Differentiable.fun_sub_iff_left, ContinuousMultilinearMap.opNNNorm_prod, MDifferentiableWithinAt.differentiableWithinAt, ContinuousLinearEquiv.comp_right_differentiableOn_iff, OpenPartialHomeomorph.MDifferentiable.mfderiv_surjective, ContDiff.rpow_const_of_le, ContinuousLinearMap.opENorm_comp_le, Asymptotics.IsTheta.isThetaTVS, MeromorphicOn.countable_compl_analyticAt_inter, MeromorphicOn.zpow, IsMaxOn.lineDerivWithin_eq_zero, ContMDiffWithinAt.prodMk, HasDerivAt.continuousAt, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, HasFPowerSeriesOnBall.tendsto_partialSum, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, ModelWithCorners.uniqueDiffOn_extendCoordChange_source, iteratedFDeriv_fun_sum_apply, HasDerivWithinAt.Ioi_of_Ioo, hasMFDerivWithinAt_const, iteratedFDeriv_one_apply, ContDiffOn.arctan, ContinuousLinearEquiv.iteratedFDeriv_comp_left, MultilinearMap.norm_image_sub_le_of_bound, HasDerivWithinAt.fun_mul, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, Bundle.contMDiff_proj, Manifold.IsImmersionOfComplement.ofOpen, fderivWithin_comp_of_eq', hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, HasFPowerSeriesOnBall.factorial_smul, HasFDerivAt.const_smul, HasFDerivAt.hasLineDerivAt, derivWithin_pi, ContinuousAlternatingMap.norm_image_sub_le', AnalyticOnNhd.mul, HasFPowerSeriesWithinAt.prod, HasDerivWithinAt.pow', ContMDiffMap.coe_smul, AnalyticOnNhd.fun_zpow, iteratedFDeriv_succ_apply_right, FormalMultilinearSeries.leftInv_coeff_one, MeromorphicAt.prod, ContinuousLinearMap.hasMFDerivAt, mdifferentiableOn_continuousLinearMapCoordChange, derivWithin_one, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, HasDerivWithinAt.sinh, Asymptotics.IsThetaTVS.symm, Bundle.Trivialization.continuousLinearEquivAt_apply, fderiv_deriv, ContDiffAt.hasStrictFDerivAt_implicitFunction, DifferentiableOn.finset_prod, contMDiffOn_fst, Complex.hasStrictDerivAt_sin, hasFPowerSeriesAt_pi_iff, mfderivWithin_eq_fderivWithin, Module.Basis.continuous_toMatrix, NormedField.continuousAt_zpow, DifferentiableOn.fst, meromorphicOrderAt_zpow_id_sub_const, hasDerivWithinAt_univ, Asymptotics.isLittleOTVS_neg_right, ValueDistribution.logCounting_zero_mul_eventually_le, LinearIsometryEquiv.hasFDerivAt, AnalyticWithinAt.pow, AnalyticWithinAt.fun_zpow_nonneg, ImplicitFunctionData.contDiffAt_implicitFunction, Complex.contDiffAt_tan, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, HasFDerivAtFilter.add, 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, ContDiff.rpow_const_of_ne, MDifferentiableAt.sum_section_of_locallyFinite, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, deriv_sub_const, coord_norm', HasFDerivWithinAt.comp, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, ContinuousAlternatingMap.le_opNorm_mul_pow_card_of_le, DifferentiableOn.neg, contDiffAt_inner, contDiff_clm_apply_iff, HasFPowerSeriesAt.hasFDerivAt, WeakDual.isClosed_polar, Bornology.IsVonNBounded.extend_scalars, hasStrictFDerivAt_finCons', Asymptotics.IsBigOTVS.congr, norm_fderiv_norm, iteratedDerivWithin_pow, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, fderiv_comp, eventually_enorm_mfderiv_extChartAt_lt, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, QuadraticMap.lineDifferentiableAt, MDifferentiableOn.mpullback_vectorField_preimage, HasDerivAt.ofReal_comp, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, DifferentiableAt.iterate, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, ContinuousLinearMap.hasStrictFDerivAt, LinearMap.mkContinuous₂_norm_le, contMDiffOn_prod_iff, PiLp.analyticOn_ofLp, DifferentiableWithinAtProp_self, VectorBundle.finrank_eq, LeftInvariantDerivation.map_smul, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, oneTangentSpaceIcc_def, HasDerivAt.hasFDerivAt_equiv, DifferentiableWithinAt.const_smul, IsSymmSndFDerivAt.iteratedFDeriv_cons, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, AnalyticOn.zpow, Bundle.Trivialization.apply_eq_prod_continuousLinearEquivAt, ContinuousLinearMap.comp_analyticOn, analyticOrderAt_pow, hasStrictDerivAt_const, fderiv_finset_prod, ModelWithCorners.hasMFDerivWithinAt_symm, IccRightChart_extend_top_mem_frontier, intervalIntegral.integral_smul_deriv_eq_deriv_smul, Bundle.Trivialization.continuousLinearMapAt_apply, Bundle.Trivial.trivialization.isLinear, DifferentiableAt.fun_sum, ContinuousLinearMap.coeFn_compLpL, hasStrictFDerivAt_list_prod_attach', AnalyticWithinAt.rexp, MDifferentiableOn.differentiableOn, ContDiffWithinAt.csin, HasFDerivAt.snd, deriv_single, stronglyMeasurable_deriv, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, hasFDerivWithinAt_euclidean, Bundle.Trivialization.continuousLinearEquivAt_symm_apply, HasFPowerSeriesWithinAt.restrictScalars, DoubleCentralizer.sub_fst, tangentConeAt_real_subset_isRCLikeNormedField, ContMDiffWithinAt.mpullbackWithin_vectorField_of_mem_of_eq, range_deriv_subset_closure_span_image, Module.Basis.parallelepiped_eq_map, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, ContDiffMapSupportedIn.norm_apply_le_seminorm, contDiffOn_clm_apply, measurable_lineDeriv_uncurry, ContinuousLinearMap.le_opNNNorm, Bundle.Trivialization.symmL_apply, MeromorphicAt.frequently_eq_iff_eventuallyEq, fderiv_continuousAlternatingMap_apply_apply, FormalMultilinearSeries.id_apply_zero, SchwartzMap.hasDerivAt, HasDerivWithinAt.fun_sub, hasFPowerSeriesOnBall_inv_one_sub, PiTensorProduct.mapLMultilinear_apply_apply, iteratedDeriv_comp_two, ContDiffWithinAt.cos, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, ContinuousLinearMap.uncurryMid_apply, ContinuousLinearMap.evalL_apply, hasFDerivAt_update, Complex.hasDerivAt_cosh, iteratedDeriv_eq_iterate, isBoundedBilinearMap_apply, AEMeasurable.apply_continuousLinearMap, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, meromorphicNFOn_prod, 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, ContinuousLinearMap.IsInvertible.contDiffAt_map_inverse, Submodule.ClosedComplemented.of_finiteDimensional, IsManifold.prod, HasStrictDerivAt.comp, ContinuousAffineMap.hasFDerivAtFilter, hasStrictFDerivAt_ringInverse, Continuous.const_clm_comp, ContDiffOn.continuousOn_fderiv_of_isOpen, ContinuousLinearMap.mul_apply', fromTangentSpace_mfderiv_smul, ContDiffOn.continuousLinearMap_comp, HasFDerivAt.fun_sum, ContDiffBump.contDiffAt, fderiv_zero_of_not_differentiableAt, MeromorphicNFOn.zero_set_eq_divisor_support, ContDiffAt.ccos, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, ContinuousAlternatingMap.le_of_opNorm_le, HasDerivAt.tendsto_slope, DifferentiableOn.fun_pow, ContinuousLinearMap.opNorm_zero, MeasureTheory.convolution_lsmul_swap, MeromorphicOn.circleAverage_log_norm, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, Real.hasStrictDerivAt_arctan, HasFTaylorSeriesUpToOn.prodMk, SchauderBasis.proj_apply_basis_mem, Complex.contDiff_sinh, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, HasDerivAtFilter.comp_of_eq, isSeparable_range_deriv, HasFDerivAt.add_const, AnalyticAt.hasFPowerSeriesAt, hasDerivAtFilter_finCons', Asymptotics.IsBigOTVS.eventually_smallSets, mfderivWithin_prodMap, deriv_tsum, MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, PiLp.hasStrictFDerivAt_apply, hasStrictFDerivAt_fst, TestFunction.fderivCLM_eq_of_scalars, DifferentiableAt.comp_semilinear₁, AnalyticOnNhd.zpow, LinearMap.mkContinuous_norm_le', UniqueMDiffOn.uniqueDiffOn_inter_preimage, DoubleCentralizer.pow_fst, mdifferentiableWithinAt_iff_target_inter', PiLp.analyticOn_toLp, DifferentiableOn.sub_iff_right, StrongDual.toLpₗ_of_not_memLp, MeromorphicAt.meromorphicTrailingCoeffAt_smul, fderiv_smul_const, PiTensorProduct.mapL_apply, analyticOrderAt_id, hasDerivWithinAt_finCons', VectorField.mpullbackWithin_const_smul_apply, ContinuousAffineMap.hasFDerivAt, deriv.fun_neg, DifferentiableAt.fun_comp', Asymptotics.Filter.Tendsto.isBigOTVS_one, mfderiv_sumInr, ContinuousMultilinearMap.norm_iteratedFDeriv_le', support_iteratedFDeriv_subset, hasStrictFDerivAt_finset_prod, DifferentiableAt.continuousMultilinear_apply_const, IsLocalMax.lineDeriv_eq_zero, TestFunction.lineDerivCLM_eq_of_scalars, AnalyticOnNhd.deriv, instContMDiffInv₀ModelWithCornersSelf, fderiv_fun_neg, Valued.integer.norm_unit, Differentiable.sub_iff_left, Real.iteratedDeriv_odd_cosh, deriv_zpow, SchauderBasis.nnnorm_proj_le_nnnormProjBound, hasFDerivAt_comp_sub, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, DifferentiableWithinAt.fun_sub, SmoothBumpCovering.embeddingPiTangent_injOn, HasDerivWithinAt.comp_hasFDerivAt, ContinuousAffineMap.norm_image_zero_le, StrongDual.mem_polarSubmodule, exists_dual_vector', MeromorphicAt.fun_prod, derivWithin_inv', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, DifferentiableWithinAt.fun_smul, Asymptotics.isLittleOTVS_comm, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, Real.analyticOn_sin, HasDerivWithinAt.scomp, Asymptotics.IsLittleOTVS.snd, hasFPowerSeriesWithinAt_pi_iff, UniqueMDiffWithinAt.bundle_preimage, isCompactOperator_iff_isCompact_closure_image_closedBall, MeromorphicNFOn.fun_zpow, DifferentiableWithinAt.div, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, LinearMap.continuous_of_finiteDimensional, hasDerivAt_iff_isLittleO_nhds_zero, HasFDerivAt.le_of_lip', SchwartzMap.tsupport_smulLeftCLM_subset, Real.fourierIntegral_fderiv, HasMFDerivAt.sub, MDifferentiableWithinAt.clm_comp, HasFDerivWithinAt.continuousMultilinear_apply_const, derivWithin_fun_sum, contMDiffAt_vectorSpace_iff_contDiffAt, IsCovariantDerivativeOn.add, eventually_norm_symmL_trivializationAt_lt, differentiableAt_comp_add_left, ContinuousMultilinearMap.le_opNorm_mul_pow_card_of_le, deriv_const, ContMDiff.neg_section, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, differentiableAt_euclidean, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, hasFDerivAtFilter_finCons, Absorbent.submodule_eq_top, PiTensorProduct.liftIsometry_comp_mapL, iteratedFDeriv_smul_const_apply, MDifferentiableOn.clm_comp, HasStrictDerivAt.fun_const_smul, HasDerivWithinAt.congr_deriv, ContinuousLinearMap.opNorm_le_iff, mdifferentiableOn_iff_of_mem_maximalAtlas', AnalyticAt.fun_pow, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, HasFPowerSeriesOnBall.r_eq_top_of_exists, deriv_eqOn, analyticOrderAt_deriv_of_pos, Manifold.IsImmersion.prodMap, fun_iteratedFDerivWithin_sub_apply, AnalyticAt.preimage_of_nhdsNE, Bundle.mdifferentiableWithinAt_zeroSection, Real.hasDerivAt_cosh, MultilinearMap.bound_of_shell_of_continuous, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, tsupport_fderiv_subset, LeftInvariantDerivation.coe_smul, PolynormableSpace.banach_steinhaus, HasFPowerSeriesAt.deriv, SchauderBasis.RankOneDecomposition.proj_zero, DifferentiableAt.const_sub, fderiv_id', IsBoundedBilinearMap.hasStrictFDerivAt, FDerivMeasurableAux.mem_A_of_differentiable, differentiable_pow, IsIntegralCurveAt.hasDerivAt, DifferentiableOn.div, uniqueMDiffWithinAt_iff_inter_range, mfderiv_snd, HasMFDerivWithinAt.add, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, HasCompactSupport.iteratedFDeriv, ContMDiffAt.clm_prodMap, Asymptotics.IsBigOTVS.rfl, Set.EqOn.iteratedFDerivWithin, Complex.hasDerivAt_sin, ContinuousLinearEquiv.fderiv, ContinuousAlternatingMap.restrictScalarsCLM_apply, ContMDiffWithinAt.mfderivWithin_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, AnalyticAt.exists_eq_sum_add_pow_mul, analyticOn_cexp, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, iteratedDerivWithin_comp_const_smul, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, ContinuousLinearMap.opNorm_zero_iff, aemeasurable_lineDeriv, Real.hasDerivAt_fourierChar, HasFDerivAtFilter.snd, AnalyticOnNhd.fderiv, Filter.EventuallyEq.extDeriv, Differentiable.const_mul, MeromorphicAt.fun_mul, HasFDerivWithinAt.comp_hasDerivWithinAt, iteratedDerivWithin_mul, HasFDerivWithinAt.add_const, HasFDerivWithinAt.isEquivalent_sub, hasDerivAt_intCast, HasFDerivWithinAt.sub, HasDerivWithinAt.inv, HasFDerivAtFilter.fun_neg, LinearEquiv.coe_toContinuousLinearEquiv, PiTensorProduct.liftIsometry_symm_apply, fderivWithin_continuousAlternatingMap_apply_apply, SchwartzMap.smulLeftCLM_neg, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, differentiableOn_inverse, mdifferentiable_addInvariantVectorField, ContinuousLinearEquiv.comp_differentiableAt_iff, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, mfderiv_zero_of_not_mdifferentiableAt, FormalMultilinearSeries.leftInv_comp, deriv_one, spectrum.differentiableOn_inverse_one_sub_smul, HasFPowerSeriesAt.const_smul, Filter.EventuallyEq.lineDifferentiableWithinAt_iff, iteratedFDeriv_succ_eq_comp_right, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, derivWithin_comp, 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, AnalyticAt.analyticOrderAt_comp, Complex.hasStrictDerivAt_exp, ContinuousAffineMap.snd_decompLinearIsometryEquiv, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, DifferentiableOn.fun_add_iff_left, deriv_of_notMem_tsupport, analyticAt_comp_iff_of_deriv_ne_zero, logDeriv_inv, derivWithin_const_smul, Real.iteratedDerivWithin_sinh_Ioo, HasFDerivAt.isThetaTVS_sub, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, ContinuousMultilinearMap.hasFDerivAt, expNegInvGlue.contDiff, ODE.hasDerivWithinAt_picard_Icc, DifferentiableAt.sub, VectorField.lieBracket_smul_left, MultilinearMap.bound_of_shell, HasStrictDerivAt.const_cpow, DoubleCentralizer.algebraMap_fst, AnalyticOnNhd.isClopen_setOf_analyticOrderAt_eq_top, differentiableOn_euclidean, mdifferentiableWithinAt_iff_of_mem_source', hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, nnnorm_fderiv_norm_rpow_le, hasFDerivWithinAt_natCast, deriv_clm_comp, HasStrictFDerivAt.approximates_deriv_on_open_nhds, hasStrictFDerivAt_exp_zero_of_radius_pos, DifferentiableOn.fun_sub_iff_left, DifferentiableAt.fun_smul, Complex.hasStrictDerivAt_cosh, ContDiffMapSupportedIn.structureMapCLM_top_apply, ContinuousLinearMap.mfderivWithin_eq, ContinuousMultilinearMap.nnnorm_ofSubsingleton, Real.contDiffOn_arccos, norm_iteratedFDerivWithin_comp_le, aemeasurable_deriv, ContDiffOn.fderivWithin, VectorField.contMDiffWithinAt_mpullbackWithin_extChartAt_symm, tsum_prod_pow_eq_tsum_sigma, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, ContDiff.continuous_iteratedFDeriv, WeakDual.metrizable_of_isCompact, mdifferentiableOn_iff_differentiableOn, modelWithCorners_prod_toPartialEquiv, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Real.hasDerivAt_Gamma_one_half, ImplicitFunctionData.range_rightDeriv, HasStrictDerivAt.arsinh, tangentCoordChange_self, toSpanSingleton_derivWithin, Asymptotics.IsBigOTVS.triangle, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, Bundle.Trivialization.contMDiff_iff, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, ContinuousAlternatingMap.isLeast_opNNNorm, ContinuousLinearMap.isEmbedding_restrictScalars, spectrum.hasFDerivAt_resolvent, ContinuousLinearMap.exists_mul_lt_apply_of_lt_opNNNorm, meromorphicNFAt_prod, bilinearIteratedFDerivWithinTwo_eq_iteratedFDeriv, deriv_comp_of_eq, LineDifferentiableWithinAt.mono_of_mem_nhdsWithin, contDiff_prod', HasFiniteFPowerSeriesOnBall.eq_partialSum', VectorField.mlieBracket_const_smul_left, mdifferentiableWithinAt_iff, LinearIsometry.enorm_toContinuousLinearMap, fderivWithin_fun_add, coe_lpBCFₗᵢ_symm, MeromorphicOn.AnalyticOnNhd.divisor_nonneg, FiniteDimensional.of_isCompactOperator_id, range_mfderiv_coe_sphere, ContMDiffWithinAt.sum_section_of_locallyFinite, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, uniqueMDiffOn_iff_uniqueDiffOn, coe_lpPiLpₗᵢ_symm, Bundle.Trivialization.continuousLinearMap_apply, IsBoundedBilinearMap.toContinuousLinearMap_apply, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, LinearEquiv.continuous_symm, Differentiable.continuousAlternatingMap_apply_const, differentiable_piLp, HasFPowerSeriesOnBall.pi, contDiffOn_piLp_apply, HasFPowerSeriesWithinOnBall.fderivWithin_eq, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_self, ContDiff.iteratedFDeriv_right', Differentiable.add_const, HasDerivAt.scomp, Real.iteratedDeriv_even_sinh, ContinuousLinearMap.norm_id_le, HasFDerivAt.le_of_lipschitz, ContDiffMapSupportedIn.structureMapLM_top_apply, DifferentiableAt.derivWithin, deriv.neg', AnalyticAt.analyticOrderAt_ne_top, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, LinearEquiv.canLiftContinuousLinearEquiv, MultilinearMap.mkContinuous_norm_le, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', DifferentiableAt.restrictScalars, ContinuousAffineMap.fderivWithin, HasDerivAt.const_mul, AnalyticOnNhd.codiscrete_setOf_analyticOrderAt_eq_zero_or_top, AnalyticWithinAt.div, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, HasDerivWithinAt.congr, IsCovariantDerivativeOn.add_one_form, hasDerivAt_one, HasDerivAtFilter.fun_neg, HasStrictFDerivAt.hasStrictDerivAt, FormalMultilinearSeries.radius_shift, ContinuousLinearEquiv.comp_right_differentiableAt_iff, hasFDerivAt_iff_isLittleOTVS, 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, ContinuousAt.clm_bundle_apply₂, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, iccLeftChart_extend_zero, LinearMap.mkContinuous_norm_le, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_right, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, ContinuousLinearEquiv.mfderiv_eq, hasDerivAt_const_mul, HasDerivWithinAt.ccos, hasLineDerivAt_iff_tendsto_slope_zero, differentiableAt_comp_add_right, norm_iteratedFDeriv_comp_le, HasFDerivAt.list_prod', Real.contDiff_sinh, meromorphicNFOn_finprod, non_trivial, fderivWithin_const_smul_field, fderiv_continuousMultilinearMapCompContinuousLinearMap, ContinuousLinearEquiv.comp_contDiffWithinAt_iff, deriv_fun_const_smul, ContinuousMultilinearMap.opNorm_neg, AnalyticWithinAt.fun_pow, ContinuousLinearMap.measurable_coe, HasDerivWithinAt.smul_const, HasFDerivAt.fun_neg, ContinuousLinearMap.analyticOn, Polynomial.fderivWithin_aeval, fderiv_sinh, ContinuousLinearMap.nndist_le_opNNNorm, norm_iteratedFDeriv_prod_le, DifferentiableOn.smul, contDiff_nat_iff_continuous_differentiable, hasFDerivAt_pow', SchwartzMap.iteratedLineDerivOp_eq_iteratedFDeriv, SchwartzMap.lineDerivOp_fourierInv_eq, OrderedFinpartition.compAlongOrderFinpartition_apply, hasDerivAt_abs, mdifferentiableOn_coordChangeL, Finset.analyticAt_prod, Polynomial.fderivWithin, contDiffOn_of_differentiableOn_deriv, HasFiniteFPowerSeriesOnBall.add, Filter.EventuallyEq.extDerivWithin, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, ContDiffAt.iteratedFDeriv_comp_perm, Polynomial.hasDerivAt, DifferentiableAt.sub_iff_right, HasFDerivAt.fun_add, HasFDerivAt.fst, VectorPrebundle.mk_coordChange, ContinuousLinearMap.opNorm_lsmul_le, MeromorphicNFAt.eventuallyEq_nhdsNE_iff_eventuallyEq_nhds, hasFDerivWithinAt_comp_add_right, MultilinearMap.mkContinuousMultilinear_norm_le, iteratedFDerivWithin_fun_sum_apply, interior_range_modelWithCornersEuclideanHalfSpace, ExistsContDiffBumpBase.y_smooth, WeakDual.CharacterSpace.norm_le_norm_one, ContDiffMapSupportedIn.monoCLM_eq_zero, Bundle.contMDiff_zeroSection, contDiff_inner, Matrix.linfty_opNorm_toMatrix, HasFPowerSeriesAt.eventually_hasSum_of_comp, hasDerivAt_natCast, NormedField.exists_one_lt_norm, HasDerivAtFilter.fun_sub, ContDiff.mlieBracket_vectorField, HasDerivWithinAt.union, 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, SchauderBasis.RankOneDecomposition.exists_coeff, ContinuousWithinAt.clm_bundle_apply₂, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_fst, ContinuousLinearMap.coe_restrictScalarsL, ContDiffWithinAt.exp, ContinuousLinearMap.fderivWithin, HasDerivWithinAt.add_const, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, iter_deriv_inv, HasMFDerivAt.comp_hasMFDerivWithinAt, ContinuousLinearMap.norm_compL_le, AnalyticAt.differentiableAt, DifferentiableWithinAt.iterate, formalMultilinearSeries_geometric_radius, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, Asymptotics.IsBigO.continuousMultilinearMap_apply_eq_zero, ContMDiffVectorBundle.contMDiffOn_coordChangeL, EulerSine.antideriv_cos_comp_const_mul, ContDiff.inv, deriv_natCast, Filter.EventuallyEq.fderivWithin', fderivWithin_clm_comp, mdifferentiableWithinAt_snd, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, MeromorphicOn.fun_mul, ContinuousLinearMap.inCoordinates_eq, meromorphicOrderAt_smul_of_ne_zero, HasDerivWithinAt.congr_set, mfderiv_prodMk, lineDerivWithin_congr_set, hasFDerivAt_of_tendstoUniformlyOnFilter, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, hasMFDerivWithinAt_snd, ProperSpace.of_locallyCompact_module, ContDiffAt.continuousLinearMap_comp, ContinuousMultilinearMap.norm_domDomCongr, HasStrictFDerivAt.fun_neg, hasDerivWithinAt_zpow, HasFDerivWithinAt.arctan, contMDiff_prod_module_iff, HasStrictFDerivAt.sum, Monotone.deriv_nonneg, Real.contDiff_arctan, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_apply_ker, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, NormedField.v_eq_valuation, HasCompactSupport.fderiv_apply, fderiv_continuousMultilinear_apply_const, SchauderBasis.succSub_ortho, derivWithin_fun_finset_prod, HasDerivWithinAt.smul, lineDerivWithin_of_mem_nhds, mdifferentiableAt_section, HasDerivAt.real_of_complex, HasStrictFDerivAt.to_localInverse, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt', Bundle.Trivialization.contMDiffAt_section_iff, DifferentiableOn.pow, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, iteratedDerivWithin_smul, ContinuousMultilinearMap.curry0_norm, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, HasDerivWithinAt.finset_prod, ContinuousLinearMap.norm_fst, ContinuousAlternatingMap.nnnorm_toContinuousMultilinearMap, Real.iteratedDeriv_add_one_sin, Real.differentiable_iteratedDeriv_sin, OrderedFinpartition.applyOrderedFinpartition_apply, HasFPowerSeriesOnBall.hasFDerivAt, differentiableAt_neg_iff, CovariantDerivative.torsion_antisymm, ContinuousLinearMap.opNNNorm_comp_le, HasDerivWithinAt.mono, Bundle.mdifferentiable_proj, ContinuousMultilinearMap.analyticOn, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, HasMFDerivAt.prod, ContMDiffWithinAt.clm_apply_of_inCoordinates, MeromorphicNFAt.smul_analytic, fderivWithin_csin, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous, derivWithin_sum, PiTensorProduct.mapL_opNorm, Differentiable.fun_comp, HasFDerivWithinAt.comp_hasDerivAt, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, AnalyticOnNhd.zpow_nonneg, iter_deriv_inv', MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, TemperedDistribution.fourierMultiplierCLM_apply_apply, HasDerivAt.eventually_notMem, analyticOn_inv, intervalIntegral.fderivWithin_integral_of_tendsto_ae, hasStrictFDerivAt_one, HasDerivWithinAt.tendsto_nhdsWithin_nhdsNE, HasDerivAt.mul, Function.HasTemperateGrowth.smul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, contDiff_single, HasStrictFDerivAt.isBigOTVS_sub, AnalyticOnNhd.fun_pow, DoubleCentralizer.mul_fst, FiberBundle.writtenInExtChartAt_trivializationAt_symm, Complex.analyticOnNhd_canonicalFactor, ContMDiff.clm_postcomp, Asymptotics.IsLittleOTVS.tendsto_inv_smul, ModelWithCorners.boundary_of_boundaryless_right, Real.iteratedDeriv_even_sin, AnalyticWithinAt.zpow_nonneg, iteratedFDeriv_zero_fun, HasFDerivAt.prodMk, ContMDiffAt.sub_section, ContinuousLinearEquiv.comp_contDiffOn_iff, fun_iteratedFDeriv_sub_apply, ModelWithCorners.convex_range', NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MDifferentiableAt.coordChangeL, fderivWithin_continuousAlternatingMap_apply_const, extDeriv_fun_add, Manifold.IsImmersionAt.target_subset_preimage_target, AnalyticOn.div, ContDiffAt.clm_comp, EulerSine.antideriv_sin_comp_const_mul, hasFDerivAt_sub_const, Real.analyticOnNhd_cos, ModelWithCorners.range_eq_univ_prod, ContinuousLinearMap.norm_restrictScalars, Asymptotics.IsLittleOTVS.isBigOTVS, Finset.analyticOn_fun_prod, ApproximatesLinearOn.closedBall_subset_target, AnalyticAt.zpow_nonneg, ModelWithCorners.prod_apply, Diffeology.IsPlot.contDiff, Differentiable.fun_finset_prod, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_completeSpace, MDifferentiableWithinAt.clm_postcomp, derivWithin_sub_const_fun, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, HasDerivWithinAt.const_sub, ContDiffOn.exp, NormedSpace.sInter_polar_eq_closedBall, hasFDerivWithinAt_fst, HasDerivWithinAt.const_smul, ContMDiff.clm_prodMap, ModelWithCorners.transContinuousLinearEquiv_range, iteratedDeriv_comp_eq_sum_orderedFinpartition, hasFDerivAt_natCast, FormalMultilinearSeries.analyticAt_changeOrigin, HasDerivWithinAt.hasDerivAt, expNegInvGlue.contDiff_polynomial_eval_inv_mul, DoubleCentralizer.coe_eq_algebraMap, ContinuousLinearMap.opNorm_mul_apply_le, deriv_smul_const, hasFDerivAt_intCast, PiTensorProduct.tprodL_apply, mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt, HasFPowerSeriesAt.tendsto_partialSum, Diffeomorph.uniqueDiffOn_preimage, deriv_pow_field, SmoothBumpCovering.embeddingPiTangent_injective, MDifferentiableWithinAt.mpullback_vectorField_preimage, contDiff_one_iff_hasFDerivAt, HasFiniteFPowerSeriesAt.add, MDifferentiableWithinAt.clm_bundle_apply, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', HasFDerivWithinAt.comp_hasFDerivAt_of_eq, MeromorphicOn.min_divisor_le_divisor_add, Complex.meromorphicNFOn_canonicalFactor, HasFPowerSeriesAt.eventually_hasSum_sub, HasDerivWithinAt.rpow_const, deriv_comp_neg, ContinuousLinearMap.isThetaTVS_comp, DifferentiableAt.star_star, AnalyticAt.eventually_eq_or_eventually_ne, meromorphicOrderAt_pow, Polynomial.hasDerivAt_aeval, ContinuousLinearMap.comp_cpolynomialOn, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, ContMDiffSection.contMDiff, ContinuousLinearMap.opNorm_smul_le, MeasureTheory.L1.norm_setToL1_le', TestFunction.fderivCLM_apply_of_gt, Asymptotics.isLittleOTVS_congr, IsBoundedBilinearMap.deriv_apply, contDiff_mul, HasStrictFDerivAt.isThetaTVS_sub, hasDerivAt_gronwallBound, fderiv_zero, hasDerivWithinAt_const_add_iff, deriv_finset_prod, ContinuousLinearMap.range_eq_map_coprodSubtypeLEquivOfIsCompl, logDeriv_prod, PiLp.contDiff_ofLp, fderiv_comp', MeasureTheory.convolutionExistsAt_iff_integrable_swap, ContinuousMultilinearMap.le_opNorm_mul_prod_of_le, PiLp.hasFDerivAt_ofLp, ContDiffWithinAt.rpow_const_of_ne, meromorphicTrailingCoeffAt_prod, deriv_div, norm_iteratedFDeriv_one, VectorField.mpullback_smul, hasDerivAt_ofReal_cpow_const, LinearIsometryEquiv.comp_differentiable_iff, IsManifold.mem_maximalAtlas_prod, analyticOnNhd_fst, hasDerivAt_norm_rpow, hasFDerivAt_tsum, ContinuousLinearMap.spectrum_eq, hasFDerivAtFilter_id, HasStrictFDerivAt.fun_const_smul, iteratedFDerivWithin_eventually_congr_set', ContinuousMultilinearMap.analyticOnNhd, StronglyMeasurable.apply_continuousLinearMap, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, ContDiffAt.fst', fderivWithin_const_smul, contMDiff_equivTangentBundleProd, AnalyticOnNhd.div, extDerivWithin_extDerivWithin_apply, HasStrictDerivAt.fun_sub, differentiableAt_finCons', HasDerivWithinAt.star, Unitization.isUniformEmbedding_addEquiv, differentiableWithinAt_inverse, AnalyticAt.analyticAt_localInverse, Meromorphic.logDeriv, VectorBundleCore.inCoordinates_eq, HasFDerivWithinAt.unique_on, HasStrictFDerivAt.prodMap, Real.contDiff_cosh, AnalyticAt.eventually_eq_zero_or_eventually_ne_zero, MeromorphicOn.extract_zeros_poles, VectorField.pullbackWithin_eq, HasDerivAtFilter.prodMk, ContinuousLinearMap.norm_bilinearRestrictScalars, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin, PiTensorProduct.liftIsometry_apply_apply, DifferentiableOn.inverse, ContinuousMultilinearMap.prodL_symm_apply, LeftInvariantDerivation.map_neg, meromorphicAt_mul_iff_of_ne_zero, derivWithin_fun_const, ContinuousLinearMap.norm_inl, LinearMap.polar_univ, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ContinuousLinearEquiv.comp_differentiable_iff, Real.analyticAt_arsinh, AnalyticOnNhd.sum_divisor_le, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, contDiffOn_of_continuousOn_differentiableOn_deriv, HasFPowerSeriesWithinOnBall.neg, norm_deriv_eq_norm_fderiv, deriv_tsum_apply, AnalyticOnNhd.preimage_mem_codiscreteWithin, DoubleCentralizer.zero_toProd, UniqueMDiffOn.bundle_preimage, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, ContinuousLinearMap.bilinearComp_zero_left, HasStrictDerivAt.finCons, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, hasDerivAt_zero, SchwartzMap.fderivCLM_fourier_eq, HasFDerivWithinAt.isLittleOTVS, ContinuousLinearEquiv.contDiffOn_comp_iff, Bundle.Trivialization.contMDiffAt_iff, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, ContMDiffOn.const_smul_section, ContDiffAt.fderiv, Matrix.toLin_finTwoProd_toContinuousLinearMap, HasFPowerSeriesOnBall.eventually_hasSum_sub, ContinuousMultilinearMap.opNNNorm_le_iff, IsCompactOperator.image_closedBall_subset_compact, MeromorphicOn.negPart_divisor_add_le_max, Real.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, fun_meromorphicOrderAt_zpow_id_sub_const, VectorBundleCore.continuousOn_coordChange, iteratedDeriv_exp_const_mul, hasDerivAtFilter_iff_hasFDerivAtFilter, AnalyticOn.fun_zpow_nonneg, hasDerivWithinAt_inter', Bundle.contMDiffAt_section, ContDiffWithinAt.rpow_const_of_le, ContinuousLinearEquiv.fderivWithin, mfderiv_comp_apply, AnalyticWithinAt.zpow, Complex.hasStrictDerivAt_cpow_const, HasDerivWithinAt.scomp_hasDerivAt, MDifferentiableOn.clm_precomp, HasFDerivWithinAt.fun_sum, VectorField.lieBracketWithin_smul_right, isCompactOperator_of_tendsto, ContDiffWithinAt.div, fderiv_fun_const_smul, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', ContDiff.iterate_deriv', Bundle.Trivialization.contMDiffWithinAt_section, differentiable_neg, deriv_comp_mul_left, hasDerivAt_neg, LinearMap.derivWithin, inner_gradientWithin_left, hasDerivAtFilter_finCons, PiTensorProduct.norm_eval_le_projectiveSeminorm, iteratedFDeriv_zero_eq_comp, isCompactOperator_iff_image_ball_subset_compact, HasStrictDerivAt.prodMk, intervalIntegral.integral_hasDerivAt_right, tsupport_fderiv_apply_subset, hasFTaylorSeriesUpToOn_succ_iff_left, HasDerivWithinAt.mul_const, WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded, HasCompactSupport.hasDerivAt_convolution_left, iteratedFDeriv_sub, measurableSet_lineDifferentiableAt, Polynomial.hasStrictDerivAt, deriv_const_mul, ContDiff.clm_apply, HasDerivWithinAt.cexp, ContinuousLinearEquiv.isBigO_comp_rev, ModelWithCorners.boundary_prod, deriv_clm_apply, MDifferentiableWithinAt.differentiableWithinAt_comp_extChartAt_symm, Real.hasStrictDerivAt_arcsin, hasStrictFDerivAt_sub_const_iff, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, ContinuousLinearMap.fpowerSeriesBilinear_radius, contDiffWithinAt_prod, HasFPowerSeriesWithinOnBall.add, ContinuousLinearMap.add_compLp, contDiffOn_succ_iff_fderivWithin, contDiff_smul, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction, derivWithin_fun_pow, FormalMultilinearSeries.changeOrigin_finite_of_finite, AffineMap.hasStrictDerivAt, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, meromorphicNFAt_smul_iff_right_of_analyticAt, HasDerivWithinAt.Ioi_of_Ici, IsClosed.diffContOnCl_iff, Real.abs_iteratedDeriv_sin_le_one, hasFDerivWithinAt_ofNat, ContinuousLinearMap.isCompact_closure_image_coe_of_bounded, HasDerivWithinAt.Ioi_iff_Ioo, VectorField.mpullback_mfderivWithin_apply_smul, VectorField.mpullbackWithin_const_smul, MeromorphicOn.smul, contDiffWithinAt_pi, HasMFDerivWithinAt.mul, ContDiffWithinAt.iteratedFDerivWithin_right, OpenPartialHomeomorph.MDifferentiable.symm_comp_deriv, ContinuousLinearEquiv.isOpen, LinearMap.polar_subMulAction, Complex.iteratedDeriv_odd_cos, MDifferentiableOn.mpullbackWithin_vectorField_inter, HasStrictFDerivAt.clm_apply, AnalyticAt.differentiableWithinAt, contDiff_piLp_apply, fderiv.fst, ContinuousLinearEquiv.coe_toDiffeomorph, VectorField.mfderiv_extChartAt_inverse_comp_mfderivWithin_extChartAT_symm, ContMDiffAt.clm_bundle_apply₂, ContDiffMapSupportedIn.fderivLM_apply, deriv_intCast, Real.contDiff_rpow_const_of_le, fderivWithin_sub, spectralNorm.spectralMulAlgNorm_eq_of_mem_roots, ContMDiffWithinAt.mpullbackWithin_vectorField_inter_of_eq, continuousMultilinearCurryRightEquiv_symm_apply', AnalyticOnNhd.pi, ContinuousLinearMap.isBigO_sub, IsCovariantDerivativeOn.zero, Real.contDiffOn_arcosh, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, contDiffWithinAt_piLp, DoubleCentralizer.norm_fst, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, measurable_smul_const, mDifferentiableOn_sub_section, ContDiffWithinAt.fderivWithin, WeakDual.isCompact_of_bounded_of_closed, ContinuousLinearMap.opNNNorm_eq_of_bounds, ContDiffMapSupportedIn.continuousSMul, AnalyticAt.fun_inv, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, iteratedFDerivWithin_sub_apply, StrongDual.zero_mem_polar, equivTangentBundleProd_eq_tangentMap_prod_tangentMap, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousAlternatingMap.norm_ofSubsingleton_id, LinearIsometry.contDiff, DifferentiableOn.cexp, HasDerivWithinAt.fun_add, LinearMap.isStarProjection_toContinuousLinearMap_iff, Bundle.Trivialization.prod.isLinear, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, TensorialAt.mkHom_apply, HasFDerivAtFilter.isLittleOTVS, isCompactOperator_id_iff_finiteDimensional, iteratedDerivWithin_eq_equiv_comp, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le, HasFDerivAt.const_sub, Polynomial.differentiableAt, HasDerivAt.const_add, BoundedContinuousFunction.toLp_norm_le, iteratedFDerivWithin_two_apply, extDerivWithin_smul, contDiffOn_snd, fderiv_ccosh, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, ContinuousMultilinearMap.bound, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, HasStrictFDerivAt.fun_smul, hasStrictFDerivAt_ofNat, mdifferentiable_prod_iff, iteratedDeriv_mul_const_field, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, iteratedFDeriv_fun_zero, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, ContDiffPointwiseHolderAt.fderiv, fderiv_fun_mul, HasFiniteFPowerSeriesOnBall.finite, Meromorphic.iterated_deriv, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, Real.analyticAt_cosh, Filter.HasBasis.isBigOTVS_iff, HasFDerivAt.pow', mdifferentiableOn_prod_iff, HasStrictFDerivAt.pow', iteratedDeriv_comp_add_const, Bundle.Trivialization.contMDiffOn_symm, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, iteratedDerivWithin_succ, Real.contDiffAt_rpow_const_of_ne, mdifferentiableAt_mulInvariantVectorField, ContinuousAffineMap.differentiableOn, ContinuousLinearMap.hasFDerivAt_of_bilinear, mfderivWithin_prodMk, FormalMultilinearSeries.min_radius_le_radius_add, ContinuousAlternatingMap.opNorm_le_iff, contDiffOn_succ_iff_fderiv_apply, hasStrictDerivAt_one, Unitization.instNormOneClass, MeromorphicOn.fun_div, ValueDistribution.logCounting_top_mul_le, HasDerivWithinAt.of_isLittleO, ContinuousAffineMap.norm_comp_le, contMDiffAt_iff_localFrame_coeff, IsCompactOperator.image_ball_subset_compact, ContinuousLinearMap.closed_range_of_antilipschitz, HasStrictFDerivAt.multiset_prod, OpenPartialHomeomorph.MDifferentiable.mfderiv_injective, DifferentiableAt.star, contMDiffAt_prod_module_iff, HasDerivAt.div_const, HasDerivAt.scomp_of_eq, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, Valued.integer.mem_iff, logDeriv_prod_sineTerm_eq_sum_cotTerm, ContDiffMapSupportedIn.continuous_iff_comp_order_le, iteratedFDerivWithin_fun_zero, TensorialAt.mkHom₂_apply, mdifferentiableAt_iff_of_mem_source, ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_integral_of_dominated_of_fderiv_le, derivWithin_tsum, HasFPowerSeriesAt.pi, hasFDerivAt_comp_add_left, iteratedDerivWithin_succ', HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', TensorialAt.mkHom_apply_eq_extend, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, ContMDiffOn.sum_section_of_locallyFinite, HasFDerivWithinAt.smul, extDeriv_apply_vectorField_of_pairwise_commute, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, ContinuousAlternatingMap.prodLIE_apply, ContMDiffWithinAt.clm_apply, mfderivWithin_eventually_congr_set, ValueDistribution.logCounting_pow_zero, 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, HasStrictFDerivAt.of_isLittleO, ContinuousLinearMap.opNorm_le_iff_lipschitz, MeromorphicNFOn.zpow, CPolynomialOn.fderiv, ftaylorSeries_zero, AnalyticAt.fun_div, ContMDiffAt.prodMap', Function.FactorizedRational.extractFactor, ContinuousLinearMap.opNNNorm_le_of_lipschitz, ContinuousLinearMap.norm_pi_le_of_le, HasDerivWithinAt.isLittleO, ContinuousLinearMap.opNorm_le_of_nhds_zero, HasDerivAt.rpow_const, ContinuousLinearMap.opNorm_flip, contDiffOn_succ_iff_derivWithin, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, ContDiffAt.differentiableAt_one, HasDerivWithinAt.prodMk, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, VectorPrebundle.continuousOn_coordChange, VectorField.mpullbackWithin_apply, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, DifferentiableAt.fst, hasDerivAt_sub_const_iff, hasStrictDerivAt_exp, HasStrictFDerivAt.mul_const', measurable_fderiv_with_param, logDeriv_const_mul, HasDerivAt.div, HasDerivAt.continuousAt_div, contDiffAt_prod_iff, mfderiv_const, DifferentiableOn.iterate, iteratedFDeriv_prodMk, isCoveringMap_npow, Irreducible.maximalIdeal_eq_closedBall, HasDerivWithinAt.pow, SchwartzMap.lineDerivOp_apply_eq_fderiv, deriv_add_const, Real.hasStrictDerivAt_sqrt, mdifferentiableAt_iff_differentiableAt, ContinuousLinearMap.tendsto_of_tendsto_pointwise_of_cauchySeq, tangentMap_prodFst, Complex.hasDerivAt_Gamma_one, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, ContMDiffCovariantDerivativeOn.contMDiff, hasFDerivWithinAt_pi, Polynomial.deriv, FormalMultilinearSeries.derivSeries_eq_zero, InnerProductSpace.laplacianWithin_smul_nhds, ContinuousLinearMap.differentiableOn, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, TestFunction.lineDerivCLM_smul, DifferentiableWithinAt.continuousAlternatingMap_apply, MDifferentiableWithinAt.mpullbackWithin_vectorField_inter, ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, LinearIsometryEquiv.comp_hasFDerivAt_iff, derivWithin_const_add_fun, HasDerivAtFilter.isEquivalent_sub, Differentiable.fun_add_iff_right, Real.hasDerivAt_tan_of_mem_Ioo, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, contMDiffOn_comp_projIcc_iff, ContinuousMultilinearMap.le_of_opNorm_le, UnconditionalSchauderBasis.bddAbove_range_nnnorm_proj, AffineMap.differentiableOn, Complex.imCLM_nnnorm, FormalMultilinearSeries.comp_rightInv, IsBoundedLinearMap.fderivWithin, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, differentiableAt_pow, AnalyticOnNhd.div_const, AlgHom.toContinuousLinearMap_norm, ContDiff.differentiable, ContDiffWithinAt.pow, iteratedDeriv_comp_three, PiLp.hasFDerivAt_apply, HasStrictDerivAt.fun_neg, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, measurableSet_of_differentiableAt_of_isComplete_with_param, Complex.iteratedDeriv_even_sin, HasFPowerSeriesWithinAt.neg, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one, ContinuousLinearMap.opNorm_le_of_shell, Meromorphic.fun_prod, Real.hasDerivAt_exp, ContMDiffOn.contMDiffOn_tangentMapWithin, Differentiable.div_const, fderiv_sqrt, MeasureTheory.Integrable.apply_continuousLinearMap, derivWithin_comp_add_const, mdifferentiable_sub_section, Asymptotics.isThetaTVS_comm, derivWithin.star, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, fderivWithin_list_prod', logDeriv_fun_zpow, AlternatingMap.mkContinuousLinear_norm_le, fun_meromorphicOrderAt_mul, HasStrictDerivAt.ccosh, OrderedFinpartition.applyOrderedFinpartition_update_left, contDiffOn_pi, LinearMap.continuous_of_isClosed_ker, DifferentiableWithinAt.continuousMultilinear_apply_const, fderiv_clm_apply, 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, iteratedDerivWithin_id, HasDerivAt.iterate, ContMDiffWithinAt.const_smul_section, mdifferentiable_neg_section, deriv_const_add, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, HasFDerivWithinAt.fun_mul', ContinuousLinearEquiv.ofBijective_symm_apply_apply, ContDiffOn.div_const, uniqueDiffOn_convex_of_isRCLikeNormedField, ContinuousLinearMap.norm_compSL_le, MeasureTheory.norm_condExpInd_le, TestFunction.monoCLM_apply, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, MeromorphicAt.zpow, fderivWithin_smul_const, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, ContMDiffWithinAt.prodMap', ContMDiffAt.sum_section_of_locallyFinite, ContMDiffFiberwiseLinear.locality_aux₁, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, ContDiffAt.exists_eventually_eq_hasDerivAt, Real.iteratedDerivWithin_cosh_Icc, mdifferentiableWithinAt_fst, ContinuousMultilinearMap.analyticWithinAt, fderiv_star, derivWithin_fun_const_smul', HasFPowerSeriesWithinAt.unshift, SchauderBasis.enorm_proj_le_enormProjBound, hasFDerivAtFilter_iff_tendsto, DifferentiableAt.add_iff_right, 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, MDifferentiable.finsum_section_of_locallyFinite, spectrum.resolvent_tendsto_cobounded, IsCompactOperator.continuous, HasDerivAt.tendsto_slope_zero, Filter.EventuallyEq.iteratedFDeriv, fderivWithin_continuousLinearEquiv_comp, ContinuousLinearMap.opNorm_nonneg, HasFDerivAtFilter.of_isLittleO, HasDerivAtFilter.hasFDerivAtFilter, Complex.iteratedDeriv_even_sinh, ContMDiffOn.mpullback_vectorField_preimage, hasDerivAtFilter_pi, inverse_mfderiv_mul_left, StrongDual.polar_empty, Asymptotics.IsThetaTVS.trans, derivWithin_fun_add, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, IsLocalFrameOn.contMDiffOn_of_coeff, ModelWithCorners.BoundarylessManifold.prod, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum_of_completeSpace, DifferentiableAt.fun_add_iff_right, HasFDerivAtFilter.iterate, ContinuousLinearMap.normOneClass, DifferentiableWithinAt.fun_finset_prod, ContinuousLinearMap.opNNNorm_subsingleton, analyticAt_finprod, ContMDiffAt.mfderiv, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, HasStrictDerivAt.sinh, differentiableAt_snd, DifferentiableAt.comp, 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, Continuous.clm_bundle_apply₂, fderivWithin_const_apply, algNormFromConst_def, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, ContinuousLinearMap.opNorm_neg, differentiableWithinAt_smul_iff, Asymptotics.IsLittleOTVS.mono, fderivWithin_pow_ring', ContinuousLinearMap.analyticOn_uncurry_of_multilinear, iteratedDeriv_one, norm_sub_le_mul_volume_of_norm_fderiv_le, Complex.differentiable_iteratedDeriv_sinh, Real.contDiffAt_arccos, FormalMultilinearSeries.changeOrigin_eval, Unitization.nndist_inr, differentiableWithinAt_add_const_iff, continuousAt_hom_bundle, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, DifferentiableAt.cexp, ContDiffAt.cexp, iter_deriv_inv_linear_sub, DifferentiableOn.const_smul, MeromorphicOn.pow, ContinuousLinearMap.add_compLpL, Asymptotics.IsThetaTVS.trans_isLittleOTVS, contMDiff_add, Asymptotics.IsBigOTVS.trans_isThetaTVS, DifferentiableOn.const_mul, exists_embedding_euclidean_of_compact, Complex.norm_fderiv_le_one_of_mapsTo_ball, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, HasDerivAt.inner, HasFPowerSeriesAt.prod, DifferentiableWithinAt.zpow, hasDerivAt_ofReal_cpow_const', ContDiff.sqrt, hasStrictDerivAt_natCast, Complex.hasDerivAt_Gamma_one_half, VectorPrebundle.contMDiffOn_contMDiffCoordChange, ContinuousAlternatingMap.opNorm_le_bound, LeftInvariantDerivation.toDerivation_injective, Real.analyticOn_arsinh, DiffContOnCl.differentiableAt, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, IsCovariantDerivativeOn.torsion_apply_eq_extend, lineDeriv_smul, Meromorphic.finprod, AlternatingMap.mkContinuousAlternating_norm_le_max, PiTensorProduct.mapL_pow, LinearMap.continuous_of_isClosed_graph, Real.analyticWithinAt_sin, DoubleCentralizer.natCast_toProd, ContinuousLinearMap.dslope_comp, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', HasStrictDerivAt.hasDerivAt, Asymptotics.IsLittleOTVS.trans, ContDiffAt.csinh, LeftInvariantDerivation.evalAt_mul, ContinuousLinearMap.unit_le_opNorm, iteratedDeriv_id, HasFPowerSeriesWithinAt.add, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le', FiberBundle.exists_mdifferentiableOn_extend, ContDiffWithinAt.arsinh, meromorphicOrderAt_zpow, ContDiffMapSupportedIn.fderivCLM_apply_of_le, Diffeomorph.prodComm_symm, DifferentiableOn.add, exists_extension_norm_eq, AnalyticOn.hasFPowerSeriesOnBall, DifferentiableWithinAt.clm_apply, Prod.instLieAddGroup, HasMFDerivAt.prodMk, HasStrictFDerivAt.to_local_left_inverse, Complex.iteratedDeriv_add_one_cosh, DifferentiableAt.comp_differentiableWithinAt, ContinuousLinearMap.norm_id, FormalMultilinearSeries.id_apply_of_one_lt, hasFDerivAt_integral_of_dominated_of_fderiv_le'', contDiff_of_differentiable_iteratedDeriv, ContinuousMultilinearMap.nnnorm_ofSubsingleton_id, HasFDerivWithinAt.fun_pow', AnalyticAt.div_const, differentiable_pi'', HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, ContDiff.contDiff_fderiv_apply, hasStrictDerivAt_exp_zero_of_radius_pos, deriv_star_conj, MeasureTheory.L1.norm_Integral_le_one, ContDiff.csinh, ContinuousLinearMap.measurable_apply', differentiableAt_conj_conj_iff, HasStrictFDerivAt.continuousAlternatingMap_apply_const, NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, CovariantDerivative.torsion_self, DifferentiableAt.clm_apply, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, DifferentiableOn.finCons, derivWithin_neg, DoubleCentralizer.one_toProd, MeromorphicAt.div, MeasureTheory.withDensityᵥ_smul', analyticOrderAt_mul_eq_top_of_left, differentiableAt_iff_restrictScalars, HasFPowerSeriesOnBall.image_sub_sub_deriv_le, NormedSpace.expSeries_radius_pos, Complex.imCLM_enorm, hasDerivAtFilter_const, analyticOrderAt_eq_zero, HasFDerivAt.comp_semilinear, ContMDiff.sub_section, extDeriv_extDeriv_apply, ContinuousAffineMap.fst_decompLinearIsometryEquiv, VectorField.pullback_eq_of_fderiv_eq, hasDerivAt_single, deriv_fun_const_smul_field, IsMaxOn.lineDeriv_eq_zero, MDifferentiableWithinAt.mpullback_vectorField_preimage_of_eq, extDeriv_pullback, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, differentiableOn_apply, iteratedFDerivWithin_sum_apply, ContinuousLinearEquiv.dimH_preimage, MDifferentiableOn.mul, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, ContDiffWithinAt.fderivWithin_right_apply, hasStrictFDerivAt_add_const_iff, differentiableAt_pi, HasFDerivWithinAt.fun_add, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, analyticAt_mul, Bundle.Pretrivialization.continuousLinearMap_symm_apply', fderivWithin_mul_const, hasFDerivAt_zero, NormedSpace.algebraMap_exp_comm_of_mem_ball, VectorFourier.norm_fourierSMulRight_le, continuousWithinAt_hom_bundle, Manifold.IsImmersionOfComplement.id, Differentiable.snd, derivWithin_finset_prod, UnconditionalSchauderBasis.nnnorm_proj_le_nnnormProjBound, derivWithin_div, ContinuousAffineMap.hasFDerivWithinAt, ContDiffOn.inv, fderivWithin.fst, ContDiffAt.sin, IsCompactOperator.isCompact_closure_image_of_bounded, HasFDerivAt.mul_const', ContinuousAlternatingMap.nnnorm_ofSubsingleton, Real.iteratedDeriv_odd_sin, hasFDerivWithinAt_add_const_iff, HasFiniteFPowerSeriesOnBall.fderiv', ContinuousLinearMap.le_of_opNorm₂_le_of_le, ContinuousLinearMap.ofTendstoOfBoundedRange_apply, Bundle.Trivialization.pullback_linear, Complex.ofRealCLM_enorm, DifferentiableOn.mul_const, analyticAt_inv, Complex.IsExactOn.with_val_at, iteratedFDerivWithin_clm_apply_const_apply, ContinuousMultilinearMap.currySum_apply, isOpenMap_barycentric_coord, OpenPartialHomeomorph.MDifferentiable.ker_mfderiv_eq_bot, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, AnalyticAt.aeval_mvPolynomial, WeakDual.isBounded_closedBall, Polynomial.differentiableWithinAt_aeval, contDiffAt_ringInverse, ContMDiffWithinAt.mpullbackWithin_vectorField, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, Set.EqOn.deriv, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', ContMDiffAt.prodMk, measurable_fderiv, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, GeneralSchauderBasis.range_proj_eq_span, TestFunction.instLineDerivSMulTopENat, Bundle.contMDiffAt_proj, HasStrictFDerivAt.comp, AnalyticAt.compContinuousLinearMap, DoubleCentralizer.natCast_snd, ContDiffMapSupportedIn.bounded_iteratedFDeriv, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, HasFTaylorSeriesUpToOn.differentiableOn, MeromorphicOn.negPart_divisor_add_le_add, MeromorphicAt.deriv, Real.analyticOn_sinh, mfderiv_smul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, differentiableWithinAt_const_sub_iff, isSymmSndFDerivWithinAt_iff_iteratedFDerivWithin, contMDiffAt_addInvariantVectorField, ordinaryHypergeometric_radius_top_of_neg_nat₁, hasStrictDerivAt_zero, Differentiable.sub_const, 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, spectralNorm_unique_field_norm_ext, Filter.EventuallyEq.lineDifferentiableAt_iff, Real.differentiable_iteratedDeriv_sinh, HasDerivAtFilter.finCons, AnalyticOnNhd.aeval_polynomial, FormalMultilinearSeries.coeff_iterate_fslope, Complex.analyticWithinAt_sin, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, ContMDiffWithinAt.clm_prodMap, deriv_const_smul', ContinuousAt.clm_comp, ContinuousLinearMap.isOpenMap, ContDiffMapSupportedIn.fderivCLM_apply, ContDiffWithinAt.iteratedFDerivWithin_comp_perm, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, Unitization.antilipschitzWith_addEquiv, hasFDerivWithinAt_comp_sub, derivWithin_comp_sub_const, TestFunction.fderivCLM_apply, continuous_descPochhammer_eval, fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, Differentiable.fun_add_iff_left, ContDiff.differentiable_iteratedDeriv', iteratedFDerivWithin_const_of_ne, ContinuousMultilinearMap.norm_ofSubsingleton, VectorFourier.norm_fourierPowSMulRight_le, MeromorphicAt.inv, analyticOrderNatAt_pow, meromorphicOrderAt_id_sub_const, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, complexOfReal_hasDerivAt, DifferentiableAt.smul_const, LinearIsometryEquiv.differentiableAt, DifferentiableWithinAt.cexp, LinearIsometryEquiv.differentiable, Unitization.splitMul_injective, isInvertible_mfderiv_extChartAt, MeromorphicOn.fun_inv, Antitone.deriv_nonpos, AnalyticAt.pi, MDifferentiableAt.smul_const_section, ContDiffMapSupportedIn.continuous_iff_comp, ContMDiffAt.mpullback_vectorField_preimage, ContinuousMultilinearMap.norm_map_insertNth_le, differentiable_tsum', HasFPowerSeriesAt.coeff_zero, DoubleCentralizer.sub_snd, DifferentiableOn.continuousAlternatingMap_apply_const, Differentiable.fun_sub, ModelWithCorners.coe_transContinuousLinearEquiv, SeparatingDual.completeSpace_continuousMultilinearMap_iff, ContMDiffOn.smul_section_of_tsupport, analyticAt_inverse_one_sub, Meromorphic.inv, ContDiffOn.comp_continuousLinearMap, norm_iteratedFDerivWithin_mul_le, Seminorm.uniformContinuous', HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, mdifferentiableWithinAt_prod_module_iff, ContMDiffWithinAt.smul_section, Polynomial.differentiable, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, ContinuousLinearEquiv.coord_norm', DifferentiableOn.star, deriv_fun_pow, mdifferentiable_add_section, HasFPowerSeriesOnBall.hasSum_sub, ContinuousLinearMap.nnnorm_id, fderivWithin_continuousAlternatingMap_apply, HasDerivAt.fun_inv, iteratedDerivWithin_comp_eq_sum_orderedFinpartition, DifferentiableAt.div_const, contMDiff_pi_space, AnalyticOnNhd.fun_zpow_nonneg, absConvexHull_eq_convexHull_balancedHull, Bundle.Trivial.symmₗ_trivialization, ProbabilityTheory.hasDerivAt_mgf, HasFPowerSeriesAt.eq_zero_of_eventually, hasMFDerivAt_snd, hom_chart, HasDerivWithinAt.continuousOn, analyticOrderNatAt_mul, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, uniqueMDiffWithinAt_iff_uniqueDiffWithinAt, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, ContinuousLinearMap.HasRightInverse.of_surjective_of_finiteDimensional, hasFDerivAtFilter_natCast, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', MDifferentiable.clm_apply, deriv_descPochhammer_eval_eq_sum_prod_range_erase, HasStrictDerivAt.add_const, MeromorphicAt.eventuallyEq_nhdsNE_of_eventuallyEq_codiscreteWithin, ContDiff.contDiffBump, analyticAt_inv_one_sub, derivWithin_id, HasMFDerivAt.sum, iteratedDeriv_cexp_const_mul, Differentiable.mul, ContDiff.sinh, intervalIntegral.integral_hasStrictDerivAt_right, iteratedDerivWithin_const_mul, iteratedDeriv_const_mul_field, iteratedDeriv_fun_pow_zero, SchwartzMap.fourier_fderivCLM_eq, ContDiff.snd', FormalMultilinearSeries.radius_eq_top_iff_summable_norm, Homeomorph.contDiff_symm_deriv, AnalyticAt.mul, MDifferentiableOn.smul_section, ContDiffAt.cos, LinearMap.isOpenMap_of_finiteDimensional, Real.analyticWithinAt_arcosh, Asymptotics.isBigOTVS_map, derivWithin_mul, iteratedFDeriv_two_apply, MDifferentiableWithinAt.prodMap, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, LinearIsometry.norm_toContinuousLinearMap_le, Real.hasStrictDerivAt_tan, iteratedDerivWithin_vcomp_eq_sum_orderedFinpartition, iteratedFDerivWithin_zero_fun, WeakDual.isSeqCompact_of_isBounded_of_isClosed, HasStrictFDerivAt.mul, intervalIntegral.integral_hasStrictDerivAt_left, ContinuousLinearMap.analyticOnNhd, fderiv_fst, iter_deriv_inv_linear, Asymptotics.IsBigOTVS.neg_left, AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, AnalyticAt.div, MeromorphicAt.fun_zpow, ContMDiffAt.clm_apply, ContDiffOn.continuousOn_deriv_of_isOpen, ContinuousAlternatingMap.differentiable, Differentiable.fun_sum, Complex.logDeriv_cos, hasFDerivAt_of_tendstoUniformly, WeakDual.toStrongDual_apply, FormalMultilinearSeries.radius_rightInv_pos_of_radius_pos_aux2, DifferentiableAt.finset_prod, HasDerivWithinAt.cpow_const, hom_trivializationAt_apply, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, ContinuousLinearEquiv.uniqueDiffOn_image_iff, meromorphicNFAt_mul_iff_right, instPerfectSpace, MDifferentiable.clm_precomp, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, Bundle.contMDiffWithinAt_section, MDifferentiable.clm_comp, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ContDiffMapSupportedIn.fderivLM_apply_of_le, DifferentiableOn.fun_div, ContMDiff.clm_comp, 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, fderivWithin_add, WeakDual.CharacterSpace.compContinuousMap_comp, HasStrictDerivAt.finset_prod, VectorBundleCore.localTriv.isLinear, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, ContinuousLinearMap.contDiff, isOpenMap_of_hasStrictDerivAt, differentiable_star_iff, ContinuousLinearMap.instBorelSpace, AnalyticOnNhd.map_codiscreteWithin, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, iteratedDerivWithin_scomp_two, AnalyticOn.differentiableOn, fderiv_csinh, ContinuousLinearMap.exists_mul_lt_of_lt_opNorm, DifferentiableAt.fun_sub_iff_left, Asymptotics.IsLittleOTVS.congr_right, HasStrictFDerivAt.fun_add, IsLocalMinOn.fderivWithin_nonneg, IsBoundedLinearMap.hasFDerivAt, Complex.reCLM_norm, ContMDiffSection.mdifferentiable', ContinuousLinearMap.norm_snd_le, contMDiff_tangentBundleModelSpaceHomeomorph_symm, iteratedFDeriv_succ_eq_comp_left, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff, range_modelWithCornersEuclideanHalfSpace, analyticOrderAt_iterated_deriv, Real.analyticWithinAt_arsinh, fderiv_of_notMem_tsupport, ContinuousLinearMap.smul_compLpL, DifferentiableOn.prodMk, ContDiffWithinAt.csinh, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, MeromorphicOn.AnalyticOnNhd.divisor_apply, IsContDiffImplicitAt.implicitFunction_def, hasStrictFDerivAt_const, differentiableAt_of_deriv_ne_zero, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, AntilipschitzWith.completeSpace_range_clm, AlternatingMap.bound_of_shell_of_norm_map_coord_zero, CovariantDerivative.torsion_apply_eq_extend, ContDiffMapSupportedIn.fderivLM_apply_of_gt, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, Convex.norm_image_sub_le_of_norm_fderiv_le', HasDerivAt.hasDerivAtFilter, Real.iteratedDerivWithin_cosh_Ioo, contMDiffOn_coordChangeL, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_univ, IsBoundedLinearMap.hasFDerivWithinAt, ContinuousLinearMap.nnbound, stronglyMeasurable_deriv_with_param, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, DoubleCentralizer.intCast_fst, ContDiffPointwiseHolderAt.iteratedFDeriv, ContDiffWithinAt.contDiffBump, 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, mfderivWithin_fst, fderiv_comp_add_left, ContinuousMultilinearMap.piₗᵢ_apply, meromorphicAt_smul_iff_of_ne_zero, Module.Basis.opNNNorm_le, ContDiffAt.continuousAt_iteratedFDeriv, ContMDiffWithinAt.clm_precomp, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, Real.deriv_arcsin_aux, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, IsLocalMin.fderiv_eq_zero, norm_iteratedFDerivWithin_fderivWithin, HasDerivAtFilter.comp, IsLocalMin.lineDeriv_eq_zero, ContinuousLinearMap.cpolynomialOn, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id_le, ContMDiffWithinAt.mpullbackWithin_vectorField_of_eq, LinearMap.coe_toContinuousLinearMap_symm, fderiv_comp_sub, HasFDerivWithinAt.finset_prod, ContinuousAlternatingMap.nnnorm_constOfIsEmpty, hasStrictFDerivAt_list_prod', ContinuousLinearMap.le_opENorm, continuousMultilinearCurryFin1_symm_apply, HasStrictDerivAt.fun_add, differentiableWithinAt_comp_add_left, ContinuousMultilinearMap.opNorm_le_iff, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, ModelWithCorners.uniqueDiffOn_extendCoordChange_target, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, hom_trivializationAt_baseSet, HasDerivAt.comp_of_eq, ContinuousLinearMap.mdifferentiableOn, Complex.integral_boundary_rect_of_differentiableOn_real, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, iteratedFDeriv_sub_apply, closure_diff_intrinsicInterior, ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft, MeromorphicOn.mul, hasDerivAt_iff_tendsto, Complex.differentiable_iteratedDeriv_cos, HasStrictFDerivAt.smul_const, sub_smul_dslope, LinearMap.antilipschitz_of_comap_nhds_le, ContinuousAlternatingMap.unit_le_opNorm, SchwartzMap.smulLeftCLM_ofReal, extDerivWithin_apply, norm_iteratedFDeriv_smul_le, ContDiffAt.differentiableAt_iteratedFDeriv, Manifold.IsImmersionOfComplement.of_opens, HasDerivWithinAt.continuousWithinAt, ContMDiffOn.sub_section, ContinuousAt.clm_bundle_apply, fderivWithin_zero_of_not_differentiableWithinAt, ContinuousLinearEquiv.comp_fderivWithin, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, HasFDerivAtFilter.finCons, iteratedDeriv_vcomp_two, ContinuousLinearEquiv.coord_norm, ContinuousAlternatingMap.opNNNorm_le_iff, ContDiffOn.prodMk, ContinuousMultilinearMap.nnnorm_smulRight, ContMDiffSection.mdifferentiableAt, ContinuousOn.continuousOn_iteratedFDeriv, HasDerivAt.finset_prod, intervalIntegral.integral_hasDerivAt_left, contDiffWithinAt_snd, ContDiffOn.smulRight, IsBoundedBilinearMap.differentiable, ContinuousLinearMap.opNorm_eq_of_bounds, Real.hasStrictDerivAt_const_rpow, VectorField.lieBracketWithin_eq, HasStrictDerivAt.cos, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MDifferentiableOn.smul_section_of_tsupport, contDiffAt_piLp, MeromorphicAt.fun_div, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, minSmoothness_def, spectrum.hasDerivAt_resolvent_const_right, derivWithin_congr_set, SchauderBasis.RankOneDecomposition.proj_comp, hasDerivWithinAt_intCast, differentiableWithinAt_zpow, ContMDiff.clm_precomp, contDiffOn_infty_iff_deriv_of_isOpen, VectorField.fderivWithin_apply_lieBracket, NormedSpace.expSeries_hasSum_exp_of_mem_ball', fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, VectorPrebundle.coordChange_apply, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, hasFDerivAt_exp_zero_of_radius_pos, LinearMap.clmOfExistsBoundedImage_coe, LSeries_hasDerivAt, Real.analyticOnNhd_sinh, NormedField.exists_norm_lt, LeftInvariantDerivation.commutator_apply, Real.hasDerivAt_fourierIntegral, ContMDiff.add_section, fderivWithin_fun_const_smul, AnalyticAt.fun_zpow_nonneg, mdifferentiableWithinAt_iff_of_mem_source, HasFPowerSeriesAt.has_fpower_series_dslope_fslope, Bundle.ContinuousLinearMap.memTrivializationAtlas, ContMDiffOn.clm_prodMap, HasStrictDerivAt.iterate, derivWithin_sub, ContinuousAlternatingMap.bound, contDiffWithinAt_prod_iff, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, differentiableWithinAt_piLp, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, IsCompactOperator.isCompact_closure_image_ball, FormalMultilinearSeries.derivSeries_apply_diag, ContMDiffWithinAt.clm_comp, NormedSpace.polar_closedBall, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, AnalyticAt.fderiv, HasDerivAt.conj_conj, Bundle.Prod.contMDiffVectorBundle, ContinuousLinearEquiv.differentiableWithinAt, AnalyticOn.eval_polynomial, iteratedDeriv_fun_mul, fderiv_comp_smul, iteratedFDeriv_clm_apply_const_apply, Asymptotics.IsLittleOTVS.add, ContinuousLinearMap.opNorm_lsmul, ContMDiffOn.sum_section, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, HasFPowerSeriesWithinOnBall.hasSum, isCoveringMapOn_zpow, AnalyticOn.div_const, FormalMultilinearSeries.norm_changeOriginSeriesTerm, PiLp.hasStrictFDerivAt_ofLp, fderivWithin_arctan, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, Module.Basis.continuous_coe_repr, Complex.analyticAt_cos, Unitization.uniformity_eq_aux, VectorField.lieBracketWithin_const_smul_right, DifferentiableOn.fun_sub_iff_right, HasGradientAt.hasDerivAt, AnalyticOn.prod, analyticOnNhd_inv, Complex.analyticOnNhd_cos, hasDerivAt_exp_zero, ContinuousMultilinearMap.opNorm_le_bound, HasFTaylorSeriesUpTo.zero_eq', ContinuousLinearEquiv.analyticAt, Differentiable.continuousAlternatingMap_apply, Real.contDiff_exp, DifferentiableAt.pow, HasCompactSupport.deriv, ContinuousMultilinearMap.norm_def, NormedSpace.double_dual_bound, instFieldContMDiffRing, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, MeasureTheory.convolution_eq_swap, ContMDiffOn.neg_section, Module.Basis.opNorm_le, isInvertible_mfderivWithin_extChartAt_symm, MeromorphicOn.fun_prod, ContMDiff.codRestrict_sphere, ModelWithCorners.coe_transContinuousLinearEquiv_symm, UniqueMDiffWithinAt.prod, fderivWithin_def, fun_meromorphicOrderAt_inv, UniformCauchySeqOnFilter.one_smulRight, mulInvariantVectorField_smul, AnalyticOnNhd.preimage_zero_mem_codiscreteWithin, mdifferentiable_prod_module_iff, differentiable_finCons, ContDiff.fderiv_right, hasDerivAt_const_add_iff, HasFDerivAt.prodMap, ContinuousMultilinearMap.curryFinFinset_symm_apply, equivTangentBundleProd_symm_apply_proj, HasFPowerSeriesWithinOnBall.pi, VectorField.mlieBracketWithin_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', ContinuousAlternatingMap.opNorm_pi, MeromorphicOn.finsum, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, ContDiffOn.deriv_of_isOpen, FormalMultilinearSeries.id_apply_one, ContinuousLinearEquiv.comp_contDiff_iff, analyticWithinAt_cexp, ContMDiffSection.mdifferentiable, fderiv_csin, ContinuousLinearMap.norm_snd, MeromorphicOn.divisor_def, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.iteratedFDeriv_comp_right, norm_fderiv_le_of_lip', HasStrictFDerivAt.pt_implicitFunctionDataOfProdDomain, DiffContOnCl.differentiableOn, Real.analyticWithinAt_cosh, HasFDerivAtFilter.isEquivalent_sub, contDiff_snd, ContinuousMultilinearMap.apply_zero_uncurry0, fderiv_cosh, PiTensorProduct.injectiveSeminorm_tprod_le, DifferentiableWithinAt.fun_inv, support_fderiv_subset, HasStrictFDerivAt.fun_mul, Filter.EventuallyEq.hasLineDerivAt_iff, Bundle.Trivialization.contMDiffOn_iff, IsLocalFrameOn.generating, ContDiff.continuousLinearMap_comp, ContinuousLinearMap.norm_holderL_le, LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous_symm, hasFDerivWithinAt_pow, logDeriv_mul_const, Asymptotics.IsLittleOTVS.fun_add, contDiff_infty_iff_fderiv, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, hasFDerivWithinAt_iff_isLittleOTVS, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Asymptotics.isBigOTVS_prodMk_left, Unitization.lipschitzWith_addEquiv, ContMDiff.prodMk_space, hasStrictDerivAt_id, MeromorphicNFAt.fun_zpow, ContMDiffWithinAt.prodMap, mdifferentiable_smul_section, HasFDerivWithinAt.mul', ContDiffWithinAt.prodMk, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, Complex.iteratedDeriv_odd_cosh, HasGradientAt.fderiv_apply, AnalyticAt.pow, differentiableWithinAt_complex_iff_differentiableWithinAt_real, IsExtrFilter.lineDeriv_eq_zero, ContinuousLinearMap.comp_analyticOnNhd, Complex.contDiff_sin, Complex.hasDerivAt_exp, Bundle.mdifferentiable_zeroSection, Complex.contDiff_cos, hasStrictFDerivAt_pi'', Bundle.Trivialization.mdifferentiableWithinAt_section_iff, LinearIsometryEquiv.integrable_comp_iff, deriv_neg, range_derivWithin_subset_closure_span_image, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, OpenPartialHomeomorph.hasStrictDerivAt_symm, DifferentiableAt.fun_mul, ContinuousLinearMap.locallyIntegrableOn_comp, DifferentiableAt.sub_const, ContDiffWithinAt.differentiableWithinAt', contMDiffAt_fst, mdifferentiableWithinAt_prod_iff, LeftInvariantDerivation.ext_iff, norm_iteratedFDeriv_zero, mfderiv_subtype_coe_Icc_one, MeromorphicOn.countable_compl_analyticAt, deriv_sum, hasDerivWithinAt_Ici_of_tendsto_deriv, spectrum.hasDerivAt_resolvent_const_left, ContinuousLinearMap.exists_nnnorm_eq_one_lt_apply_of_lt_opNNNorm, ContMDiffWithinAt.mpullbackWithin_vectorField_of_mem, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, MDifferentiableWithinAt.smul, HasMFDerivWithinAt.comp, Real.hasStrictDerivAt_rpow_const, deriv_mul, IsCovariantDerivativeOn.affine_combination, NormedSpace.exp_analytic, HasStrictFDerivAt.implicitFunctionOfComplemented_apply_image, VectorField.eventually_contMDiffWithinAt_mpullbackWithin_extChartAt_symm, VectorField.lieBracket_smul_right, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, IsLocalFrameOn.mdifferentiableAt_of_coeff, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, ContinuousLinearMap.coeFn_ofSeqClosedGraph, differentiableAt_inv, deriv_pow', HasFiniteFPowerSeriesOnBall.fderiv_eq, ContMDiffOn.smul, AnalyticAt.inv, AnalyticOnNhd.pow, IsLocalFrameOn.coeff_sum_eq, analyticOrderAt_mul_eq_top_of_right, Valued.integer.norm_coe_unit, derivWithin_add, Complex.hasDerivAt_log_sub_logTaylor, hasStrictDerivAt_iff_hasStrictFDerivAt, ContinuousLinearEquiv.comp_contDiffAt_iff, TestFunction.lineDerivCLM_apply_of_gt, WithSeminorms.isVonNBounded_iff_seminorm_bounded, ContinuousAlternatingMap.hasFDerivAt, DifferentiableOn.comp, FormalMultilinearSeries.summable, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, intervalIntegral.fderiv_integral, MeromorphicNFAt.inv, PiTensorProduct.mapL_add, Differentiable.comp, fderiv_fun_const, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, DifferentiableWithinAt.mul_const, eventually_norm_trivializationAt_lt, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, contDiffOn_fderivWithin_apply, HasDerivWithinAt.comp_hasDerivAt, ModelWithCorners.uniqueDiffOn_preimage_source, isBoundedLinearMap_continuousMultilinearMap_comp_linear, IsCovariantDerivativeOn.torsion_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, ContMDiffAt.sum_section, differentiableOn_finCons, Differentiable.add, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, hasDerivAt_exp_of_mem_ball, fderivWithin_mul', AnalyticAt.map_nhdsNE, ContinuousLinearMap.bound, hasStrictDerivAt_exp_smul_const_of_mem_ball, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, IsBoundedLinearMap.fderiv, ContMDiff.const_smul_section, ContDiffAt.prodMk, HasDerivWithinAt.fun_sum, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, mdifferentiableAt_localFrame_coeff, StrongDual.polar_singleton, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Real.hasDerivAt_Gamma_nat, HasStrictFDerivAt.inner, ContDiffWithinAt.sin, AnalyticAt.cexp', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, HasMFDerivAt.comp, hasDerivAt_pi, HasStrictDerivAt.hasStrictFDerivAt_equiv, HasDerivAt.of_notMem_tsupport, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, derivWithin_fun_inv', Meromorphic.fun_div, integral_bilinear_fderiv_right_eq_neg_left_of_integrable, Meromorphic.fun_pow, hasFDerivAt_inv', HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, hasDerivWithinAt_finCons, HasDerivAt.const_cpow, contMDiffAt_pi_space, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, DifferentiableAt.comp_semilinear₂, exists_continuousLinearEquiv_fderiv_symm_eq, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, differentiableAt_dslope_of_ne, hasFDerivAt_of_tendstoUniformlyOn, tangentMap_prod_right, Complex.hasDerivAt_log, ValueDistribution.logCounting_coe, Meromorphic.smul, hasDerivAt_zpow, HasDerivAt.sin, AnalyticAt.frequently_eq_iff_eventually_eq, TensorialAt.mkHom₂_apply_eq_extend, MeasureTheory.AEStronglyMeasurable.convolution_integrand', FormalMultilinearSeries.summable_norm_apply, ContinuousMultilinearMap.norm_constOfIsEmpty, uniqueDiffOn_extChartAt_target, contMDiffOn_vectorSpace_iff_contDiffOn, DifferentiableWithinAt.fun_add, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, MeromorphicOn.iterated_deriv, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, mfderiv_neg, VectorBundle.pullback, derivWithin_of_isOpen, hasFDerivWithinAt_of_subsingleton, ContDiffOn.prodMap, HasDerivWithinAt.exp, isClosedMap_smul_left, Asymptotics.IsBigOTVS.mono, Asymptotics.IsLittleOTVS.proj, hasFDerivWithinAt_iff_tendsto, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, Real.contDiffAt_arcsin, ContDiffOn.differentiableOn_iteratedFDerivWithin, differentiableAt_iff_comp_const_add, NormedSpace.expSeries_summable_of_mem_ball', ContinuousMultilinearMap.le_opNorm_mul_pow_of_le, ValueDistribution.log_counting_zero_sub_logCounting_top, fderiv_pi, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', differentiableAt_inverse, Matrix.l2_opNorm_def, fderivWithin_comp_add_right, AnalyticOn.fun_pow, Asymptotics.IsBigOTVS.trans, ContinuousMultilinearMap.le_opNNNorm, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, contDiffAt_fst, ContDiff.real_of_complex, IsKrasner.of_completeSpace, HasStrictFDerivAt.const_add, HasStrictDerivAt.neg, ContinuousLinearMap.iteratedFDeriv_comp_left, ContinuousLinearMap.isCompact_image_coe_of_bounded_of_weak_closed, ContinuousLinearMap.holderL_apply_apply, differentiableAt_comp_sub, ContDiffOn.mul, StrongDual.mem_polar_singleton, FormalMultilinearSeries.comp_rightInv_aux2, derivWithin_sub_const, HasFDerivAt.isEquivalent_sub, LeftInvariantDerivation.toFun_eq_coe, Complex.reCLM_enorm, ContinuousMultilinearMap.opNorm_prod, AffineMap.antilipschitzWith_of_finiteDimensional, ContMDiffOn.clm_bundle_apply, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, Asymptotics.isLittleOTVS_insert, Real.hasDerivAt_sinh, isClosedEmbedding_smul_left, Bundle.Trivialization.contMDiffOn_section_iff, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, Complex.norm_fderiv_le_div_of_mapsTo_ball, norm_innerSL_le, MeromorphicAt.smul, DifferentiableAt.add, AnalyticOn.mul, ContinuousLinearMap.HasLeftInverse.of_injective_of_isClosed_range_of_closedComplement_range, Complex.hasDerivWithinAt_sqrt, HasStrictFDerivAt.sub, logDeriv_sineTerm_eq_cotTerm, tangentMap_prod_left, ContMDiffWithinAt.cle_arrowCongr, ContinuousLinearMap.isLeast_opNorm, fderiv_const_smul_of_field, ContinuousLinearEquiv.coe_ofBijective, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, HasLineDerivAt.smul, GeneralSchauderBasis.proj_comp, Real.exists_extension_norm_eq, WeakDual.isClosed_image_coe_of_bounded_of_closed, continuousMultilinearCurryRightEquiv_apply, hasStrictFDerivAt_intCast, ContinuousLinearMap.integrableOn_comp, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, HasDerivAt.comp_add_const, IsLocalDiffeomorphAt.mfderivToContinuousLinearEquiv_coe, HasFDerivAt.neg, Bornology.isVonNBounded_of_smul_tendsto_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, hasFDerivAtFilter_add_const_iff, meromorphicOrderAt_prod, LinearMap.injective_iff_antilipschitz, ContinuousLinearEquiv.iteratedFDerivWithin_comp_left, deriv.star', mdifferentiableOn_add_section, AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, ContinuousAlternatingMap.prodLIE_symm_apply, analyticOrderAt_smul_eq_top_of_right, Submodule.ClosedComplemented.of_quotient_finiteDimensional, fderiv_comp_deriv_of_eq, DifferentiableOn.hasDerivAt, contDiffOn_infty_iff_derivWithin, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, LinearIsometryEquiv.norm_iteratedFDeriv_comp_left, UnconditionalSchauderBasis.exists_norm_proj_le, MontelSpace.finiteDimensional_of_normedSpace, ContDiff.fderiv, ContMDiffSection.contMDiff_toFun, ContMDiffAt.smul_section, fderiv_list_prod', SchwartzMap.fourier_convolution, ContDiff.differentiable_one, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', norm_lineDeriv_le_of_lip', fderivWithin_comp_smul, ContDiffOn.cexp, AnalyticOnNhd.iterated_deriv, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, contDiffOn_iff_continuousOn_differentiableOn_deriv, HasMFDerivAt.mul', ContinuousLinearMap.flipₗᵢ_symm, HasFPowerSeriesAt.compContinuousLinearMap, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, Asymptotics.IsBigOTVS.refl, ContDiff.csin, HasFDerivAt.star_star, contDiffGroupoid_prod, fderivWithin_clm_apply, fderivWithin_fst, exists_continuousLinearEquiv_fderivWithin_symm_eq, ContinuousLinearMap.instLocallyBoundedMapClass, HasStrictFDerivAt.implicitFunction_apply_image, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, hasDerivAt_of_tendsto_locally_uniformly_on', MeromorphicAt.meromorphicTrailingCoeffAt_mul, Unitization.continuous_fst, AlternatingMap.mkContinuousLinear_norm_le_max, ContinuousLinearMap.dist_le_opNorm, FormalMultilinearSeries.rightInv_coeff_one, MDifferentiableWithinAt.pow, ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhd, ContinuousAlternatingMap.opNNNorm_prod, ContDiffWithinAt.differentiableWithinAt, mfderivWithin_id, deriv_mul_const_field', fderiv_continuousAlternatingMap_apply_const_apply, Differentiable.smul_const, ContDiffAt.exp, contDiffWithinAt_piLp', MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, differentiableAt_iff_comp_sub_const, uniqueDiffWithinAt_extChartAt_target, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, complexOfReal_derivWithin, ApproximatesLinearOn.lipschitzOnWith, ModelWithCorners.interior_prod, norm_fderiv_norm_id_rpow, ContinuousLinearMap.isBigOTVS_id, MeromorphicOn.divisor_mul, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum, ContinuousLinearMap.norm_holder_apply_apply_le, HasDerivWithinAt.log, Real.analyticOnNhd_arcosh, mfderivWithin_sumSwap, differentiable_tsum, AnalyticOnNhd.eval_mvPolynomial, ContinuousLinearMap.homothety_norm, hasDerivAt_conj_conj_iff, fderivWithin_sum, Asymptotics.IsBigOTVS.fst, contMDiffOn_snd, tendsto_nhds_of_meromorphicOrderAt_nonneg, Submodule.norm_subtypeL_le, ContinuousLinearMap.hasStrictDerivAt, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, ContDiffWithinAt.log, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, fderiv_const_smul, ContDiffOn.csinh, hasFDerivAtFilter_pi', measurable_fderiv_apply_const_with_param, constFormalMultilinearSeries_apply_succ, ImplicitFunctionData.hasStrictFDerivAt_rightFun, aestronglyMeasurable_deriv_with_param, fderivWithin_comp, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, mfderiv_prod_left, HasStrictFDerivAt.clm_comp, iteratedFDeriv_tsum_apply, ContinuousLinearMap.coe_ofIsClosedGraph, ContinuousMultilinearMap.analyticOn_uncurry_compContinuousLinearMap, DoubleCentralizer.toProdHom_apply, HasFDerivWithinAt.of_restrictScalars, ContinuousAlternatingMap.enorm_toContinuousMultilinearMap, Differentiable.inv, HasStrictFDerivAt.sub_const, DoubleCentralizer.mul_snd, HasFDerivWithinAt.comp_hasFDerivAt, MeasureTheory.contDiffOn_convolution_right_with_param_aux, hasMFDerivWithinAt_inl, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.fpowerSeries_apply_one, MeromorphicAt.meromorphicTrailingCoeffAt_zpow, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, continuousOn_clm_apply, logDeriv_pow, Real.hasDerivAt_sqrt, analyticOn_rexp, IccRightChart_extend_top, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, MDifferentiableWithinAt.clm_prodMap, HasFDerivAt.fun_mul', derivWithin_inter, ContMDiffAt.clm_comp, HasDerivAtFilter.isTheta_sub, constFormalMultilinearSeries_zero, Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, HasStrictFDerivAt.continuousMultilinearMap_apply, ValueDistribution.logCounting_inv, Asymptotics.IsBigO.isBigOTVS, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, contMDiffOn_prod_module_iff, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, ContinuousMultilinearMap.norm_compContinuousLinearMap_le, ContinuousLinearMap.opNNNorm_mul_apply, eventually_norm_mfderiv_extChartAt_lt, ContinuousMultilinearMap.curryFinFinset_apply, deriv_zero_of_frequently_mem, ContDiffAt.smulRight, NormedField.nhdsWithin_isUnit_neBot, Real.contDiffOn_arcsin, HasLineDerivWithinAt.congr_of_eventuallyEq, TestFunction.injective_toBoundedContinuousFunctionCLM, MeromorphicAt.fun_inv, boundary_Icc, OrderedFinpartition.applyOrderedFinpartition_update_right, Absorbent.subset_range_iff_surjective, derivWithin_smul_const, FormalMultilinearSeries.changeOriginSeriesTerm_bound, ContMDiffAt.neg_section, MultilinearMap.mkContinuous_norm_le', HasDerivWithinAt.sum, Real.contDiffAt_arccos_iff, VectorBundleCore.coordChange_comp, derivWithin_const_sub, Asymptotics.IsLittleOTVS.of_tendsto_div, 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, mdifferentiableWithinAt_hom_bundle, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, IsLocalFrameOn.contMDiffAt_of_coeff_aux, ContinuousLinearMap.norm_precompL_le, contDiff_pi, Real.fderiv_fourierChar_neg_bilinear_left_apply, AnalyticOnNhd.fun_inv, HasFTaylorSeriesUpToOn.restrictScalars, Differentiable.smul, AnalyticAt.hasStrictFDerivAt, ContDiffAt.snd'', HasDerivAtFilter.neg, ContinuousLinearMap.apply_apply, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, intrinsicClosure_eq_closure, Asymptotics.isThetaTVS_iff_isTheta, hasFDerivAt_pi', HasFDerivWithinAt.sub_const, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, HasGradientAtFilter.hasDerivAtFilter, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, DifferentiableOn.sub_iff_left, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, fderivWithin_restrictScalars_comp, analyticAt_pi_iff, OpenPartialHomeomorph.hasFDerivAt_symm, Convex.instPathConnectedSpace, ContinuousMultilinearMap.norm_image_sub_le', hasFPowerSeriesAt_iff', hasFDerivAt_tsum_of_isPreconnected, LinearMap.canLiftContinuousLinearMap, LinearIsometryEquiv.differentiableOn, MDifferentiable.prod, ContDiff.continuous_iteratedDeriv', fderivWithin_fun_sum, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, ContinuousOn.clm_bundle_apply, inner_gradient_right, hasDerivAt_exp_smul_const_of_mem_ball, analyticAt_inverse, meromorphicOrderAt_ne_top_iff_eventually_ne_zero, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, deriv_const_smul_field, Submodule.orthogonalProjection_norm_le, Bundle.Trivialization.coe_continuousLinearEquivAt_eq', HasFDerivAt.mul', Bundle.Trivialization.contMDiffOn_symm_trans, contDiffWithinAt_piLp_apply, DoubleCentralizer.intCast_toProd, ContinuousAffineMap.differentiableAt, DifferentiableAt.sum, Function.HasTemperateGrowth.isBigO_uniform, differentiableOn_snd, differentiableAt_comp_sub_const, iteratedFDerivWithin_zero_apply, derivWithin_clm_apply, GeneralSchauderBasis.linearIndependent, smooth_functions_tower, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, fderiv_single, hom_trivializationAt_target, mdifferentiable_iff_differentiable, Real.contDiffAt_rpow_of_ne, Real.hasStrictDerivAt_exp, differentiableWithinAt_const_add_iff, coe_algEquiv_lpBCF, DifferentiableWithinAt.const_add, contMDiff_fst, HasStrictDerivAt.congr_of_eventuallyEq, 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, MDifferentiableWithinAt.clm_apply, HasCompactSupport.convolution_integrand_bound_right, MeromorphicAt.meromorphicTrailingCoeffAt_pow, 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, Complex.hasStrictDerivAt_sqrt, deriv_add, logDeriv_zpow, NormedField.exists_lt_nnnorm, SchauderBasis.RankOneDecomposition.e_mem_range, Asymptotics.isBigOTVS_comm, DifferentiableAt.lineDeriv_eq_fderiv, HasDerivAt.comp_semilinear, Differentiable.star, ContMDiff.sum_section, hasLineDerivWithinAt_congr_set, AnalyticAt.zpow, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, Finset.analyticAt_fun_prod, FormalMultilinearSeries.ofScalars_norm_eq_mul, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, HasDerivAt.comp_sub_const, inCoordinates_tangent_bundle_core_model_space, isOpen_setOf_linearIndependent, NormedSpace.expSeries_hasSum_exp_of_mem_ball, contDiffOn_apply, LinearIsometryEquiv.differentiableWithinAt, ContinuousOn.continuousLinearMapCoprod, ContMDiffAt.cle_arrowCongr, differentiableOn_const_add_iff, VectorBundle.prod, AnalyticOnNhd.eval_continuousLinearMap, hasStrictFDerivAt_pi, mdifferentiableOn_neg_section, HasDerivWithinAt.comp_hasFDerivAt_of_eq, HasFDerivAt.clm_comp, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, DifferentiableOn.fun_sub, hasFDerivAt_iff_isLittleO_nhds_zero, fderivWithin_comp_sub, Asymptotics.isLittleOTVS_pi, ContinuousLinearMap.isQuotientMap, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, DifferentiableWithinAt.smul, MDifferentiableOn.pow, ContDiffMapSupportedIn.structureMapLM_apply, fderiv_tsum_apply, DifferentiableOn.of_dslope, binomialSeries_radius_ge_one, HasDerivWithinAt.iterate, Bundle.Trivialization.mdifferentiableAt_totalSpace_iff, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, derivWithin_const_smul', VectorPrebundle.contMDiffCoordChange_apply, isBoundedLinearMap_prod_multilinear, ContMDiff.prodMap, AnalyticAt.cexp, fderivWithin_fun_mul, Differentiable.div, ContinuousOn.prod_map_equivL, differentiableWithinAt_fst, continuousOn_coordChange, HasCompactSupport.convolution_integrand_bound_right_of_subset, deriv_const_sub, derivWithin_of_mem_nhds, LinearIsometryEquiv.comp_fderiv', tsupport_deriv_subset, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, HasStrictDerivAt_ofNat, ContDiffBump.contDiffWithinAt, Real.fourier_smul_convolution_eq, ContDiff.arsinh, DoubleCentralizer.smul_snd, deriv_div_const, inverse_mfderiv_add_left, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, MeromorphicAt.finprod, HasFiniteFPowerSeriesAt.comp, LeftInvariantDerivation.coeFnAddMonoidHom_apply, Complex.deriv_log_comp_eq_logDeriv, MeromorphicOn.finprod, hasDerivWithinAt_iff_tendsto, contMDiff_snd_tangentBundle_modelSpace, DifferentiableAt.fun_add_iff_left, ContDiffWithinAt.div_const, balancedHull_convexHull_subseteq_absConvexHull, ContDiffAt.hasStrictDerivAt', Valued.integer.exists_norm_coe_lt_one, ContMDiffWithinAt.mpullbackWithin_vectorField_of_eq', contMDiffWithinAt_hom_bundle, HasDerivAt.star_conj, mdifferentiableOn_iff_of_subset_source', LinearMap.bound_of_ball_bound, mem_contMDiffFiberwiseLinear_iff, Submodule.coe_prodEquivOfClosedCompl, Seminorm.continuousAt_zero, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, hasDerivAt_finCons, Asymptotics.IsThetaTVS.rfl, HasFDerivAt.smul, ContinuousLinearMap.contMDiffAt, IsCompactOperator.finiteDimensional, isOpen_setOf_nat_le_rank, FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, isClosed_setOf_isCompactOperator, SchauderBasis.sum_succSub, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, ContDiffWithinAt.sqrt, ContinuousLinearMap.opNorm_le_bound₂, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, DifferentiableWithinAt.of_dslope, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorph_source, one_le_formalMultilinearSeries_geometric_radius, ContinuousLinearMap.le_opNorm_enorm, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, Filter.EventuallyEq.nhdsNE_deriv, HasStrictFDerivAt.eq_implicitFunction, contDiff_euclidean, DifferentiableWithinAt.comp', IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, fderiv_sin, HasFPowerSeriesOnBall.exchange_radius, hasStrictDerivAt_pow, HasStrictDerivAt.eventually_left_inverse, Derivation.evalAt_apply, derivWithin_mem_iff, DifferentiableOn.fun_neg, ContinuousMultilinearMap.norm_curryMid, AlternatingMap.mkContinuous_norm_le', AnalyticOnNhd.eqOn_zero_or_eventually_ne_zero_of_preconnected, differentiableOn_inv, ContinuousLinearEquiv.comp_right_differentiable_iff, ContDiffAt.sqrt, Icc_isBoundaryPoint_top, ContinuousAlternatingMap.ratio_le_opNorm, ContinuousMultilinearMap.norm_mkPiAlgebraFin, diffContOnCl_univ, ContinuousMultilinearMap.isUniformEmbedding_restrictScalars, hasDerivAt_of_tendstoUniformlyOnFilter, hasFDerivAt_exp_of_mem_ball, LinearMap.exists_map_addHaar_eq_smul_addHaar', iteratedFDerivWithin_add_apply', ModelWithCorners.uniqueDiffOn, norm_iteratedFDeriv_fderiv, ContDiffAt.contDiffBump, StrongDual.polar_nonempty, NormedSpace.dual_def, HasFDerivAtFilter.hasDerivAtFilter, Asymptotics.IsBigOTVS.pi, HasFDerivAt.isLittleOTVS, HasDerivAt.inv, AffineMap.isOpenMap, const_smul_mfderiv, ContinuousLinearMap.opNorm_le_of_lipschitz, Filter.EventuallyEq.hasDerivAtFilter_iff, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, AlternatingMap.norm_map_coord_zero, differentiableWithinAtProp_self_target, HasMFDerivAt.const_smul, HasDerivAtFilter.fun_sum, IsCovariantDerivativeOn.finite_affine_combination, Submodule.ClosedComplemented.of_isCompl_isClosed, contDiff_prod, AnalyticOnNhd.differentiableOn, mfderivWithin_snd, analyticOn_snd, HasStrictDerivAt.sqrt, Function.HasTemperateGrowth.isBigO, FormalMultilinearSeries.hasFPowerSeriesOnBall, Complex.logDeriv_cosh, ContinuousLinearMap.coe_mulₗᵢ, deriv_fun_const_smul', HasStrictDerivAt.ccos, ContinuousLinearMap.isUnit_iff_bijective, MDifferentiableOn.clm_bundle_apply₂, Unitization.norm_inr, norm_deriv_le_of_lip', UniqueDiffWithinAt.of_real, ContinuousMultilinearMap.continuous_restrictScalars, HasFDerivWithinAt.continuousAlternatingMap_apply_const, contMDiffAt_snd, ApproximatesLinearOn.to_inv, conformalAt_iff', ContinuousLinearMap.mdifferentiableAt, Real.hasDerivWithinAt_arcsin_Iic, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, DifferentiableOn.sum, hasDerivAt_abs_pos, PiTensorProduct.injectiveSeminorm_def, ContinuousLinearMap.coeFn_holder, deriv_ofNat, ContDiffMapSupportedIn.structureMapLM_eq, hasStrictFDerivAt_id, ContinuousAlternatingMap.norm_image_sub_le, ContMDiff.cle_arrowCongr, hasStrictFDerivAt_sub_const, ContinuousLinearMap.coe_deriv₂, IsMIntegralCurveAt.eventually_hasDerivAt, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, ContMDiffOn.clm_bundle_apply₂, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, differentiableWithinAt_Ioi_iff_Ici, DifferentiableWithinAt.star, contDiff_succ_iff_hasFDerivAt, Unitization.continuous_inr, derivWithin_fun_pow', ContinuousWithinAt.clm_bundle_apply, fun_meromorphicOrderAt_pow, hasFDerivWithinAt_comp_add_left, extDeriv_apply, mfderiv_prod_eq_add_apply, MeromorphicAt.meromorphicOrderAt_comp, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, HasCompactSupport.hasFDerivAt_convolution_left, extChartAt_prod, differentiableOn_zpow, Submodule.coe_prodEquivOfClosedCompl_symm, Real.iteratedDerivWithin_sin_Ioo, fderivWithin_mul, DoubleCentralizer.add_toProd, HasDerivWithinAt.fun_inv, Continuous.prod_mapL, MeasureTheory.ae_comp_linearMap_mem_iff, instIsManifoldIcc, HasDerivWithinAt.finCons, HasStrictDerivAt.clm_apply, HasFDerivWithinAt.sum, TemperedDistribution.smulLeftCLM_apply_apply, HasDerivAt.congr_deriv, DifferentiableAt.snd, IsCompactOperator.isCompact_closure_image_closedBall, HasDerivAt.tendsto_slope_zero_right, HasFDerivWithinAt.isLittleO, ContinuousLinearMap.closure_preimage, IsSymmSndFDerivWithinAt.iteratedFDerivWithin_cons, Finset.analyticOnNhd_fun_prod, ContMDiff.mpullback_vectorField, hasFDerivAt_pi, ContDiff.mul, mfderivWithin_comp, ContinuousLinearMap.is_weak_closed_closedBall, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, differentiableOn_fst, contDiff_one_iff_deriv, ContinuousLinearMap.hasDerivAt_of_bilinear, MDifferentiableWithinAt.prod, hasFDerivWithinAt_snd, IsCompactOperator.isCompact_closure_image_of_isVonNBounded, second_derivative_symmetric_of_eventually, HasFDerivAt.comp_hasDerivAt_of_eq, IsBoundedLinearMap.isLinearMap_and_continuous_iff_isBoundedLinearMap, ContMDiff.coordChangeL, GeneralSchauderBasis.finrank_range_proj, VectorField.lieBracketWithin_const_smul_left, DifferentiableOn.fun_smul, differentiableWithinAt_finCons, analyticOn_fst, Finset.analyticOn_prod, fderiv_const_apply, Real.hasStrictDerivAt_log_of_pos, FormalMultilinearSeries.ofScalars_norm, derivWithin_comp_neg, ContinuousMultilinearMap.norm_ofSubsingleton_id, Bundle.Trivialization.Bundle.Trivialization.mdifferentiable, HasFDerivWithinAt.fun_mul, hasFTaylorSeriesUpToOn_pi, ValueDistribution.logCounting_mul_zero_le, derivWithin_pow', contMDiffOn_projIcc, IsBoundedBilinearMap.differentiableWithinAt, ContDiff.cosh, HasDerivAtFilter.const_sub, HasStrictFDerivAt.smul, ContDiffWithinAt.fderivWithin_right, ContDiff.div, AnalyticAt.hasStrictDerivAt, MDifferentiableWithinAt.sum_section, iter_deriv_pow, WithLp.analyticOn_ofLp, Asymptotics.IsThetaTVS.refl, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, ContMDiff.smul_section, contMDiff_circleExp, contDiffWithinAt_succ_iff_hasFDerivWithinAt, Filter.EventuallyEq.hasDerivWithinAt_iff, Filter.EventuallyEq.hasLineDerivWithinAt_iff, Asymptotics.IsBigO.hasFDerivAt, ContinuousAlternatingMap.le_of_opNNNorm_le, hasFDerivWithinAt_apply, ContDiffOn.sinh, HasFDerivAt.fun_sub, Complex.hasDerivAt_Gamma_nat, hasFDerivAt_integral_of_dominated_loc_of_lip, DifferentiableWithinAt.add_const, measurableSet_of_differentiableAt_with_param, ContMDiffMap.coeFnLinearMap_apply, HasStrictFDerivAt.implicitFunctionOfProdDomain_def, DoubleCentralizer.neg_fst, PiTensorProduct.mapLMultilinear_toFun_apply, VectorField.mlieBracket_smul_right, MDifferentiable.pow, norm_jacobiTheta₂_term_fderiv_le, HasStrictDerivAt.clog, AnalyticWithinAt.mul, HasDerivAtFilter.fun_const_smul, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, HasFDerivAt.comp, iteratedDerivWithin_vcomp_three, HasFDerivAtFilter.add_const, HasFDerivWithinAt.uniqueDiffWithinAt_of_continuousLinearEquiv, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, analyticAt_snd, AnalyticOnNhd.inv, MDifferentiableAt.clm_apply, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, HasFDerivAt.isLittleO, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, Unitization.nnnorm_inr, fderiv_eq_smul_deriv, HasMFDerivWithinAt.mfderivWithin_eq_zero, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, LinearMap.ker_toContinuousLinearMap, Valued.integer.norm_irreducible_pos, LinearMap.continuousAt_zero_of_locally_bounded, tangentBundleCore_coordChange_achart, ContDiffOn.arsinh, ContMDiffWithinAt.mpullback_vectorField_of_mem_nhdsWithin, hasStrictFDerivAt_exp_smul_const_of_mem_ball, ContinuousAlternatingMap.le_opNorm_mul_prod_of_le, hasFDerivAt_prodMk_right, DoubleCentralizer.toProdMulOppositeHom_apply, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, ContinuousLinearMap.coeFn_compLp', derivWithin_const_mul, Real.smoothTransition.contDiff, MeasureTheory.AEStronglyMeasurable.apply_continuousLinearMap, ContDiffAt.mul, Manifold.LiftSourceTargetPropertyAt.prodMap, Seminorm.uniformity_eq_of_hasBasis, ContinuousLinearEquiv.mfderivWithin_eq, ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap, MDifferentiableWithinAt.smul_section, ContMDiffOn.smul_section, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, deriv_comp_sub_const, contMDiffOn_iff_localFrame_coeff, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', AffineMap.continuous_of_finiteDimensional, hasFDerivAtFilter_intCast, iteratedFDeriv_succ_apply_left, ContDiffWithinAt.fderivWithin_apply, IsSymmSndFDerivAt.eq, hasFDerivAtFilter_one, iteratedFDeriv_const_of_ne, hasDerivWithinAt_sub_const_iff, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, HasDerivAt.cpow_const, AnalyticOn.cexp, HasFDerivWithinAt.list_prod', HasFDerivAt.continuousMultilinearMap_apply, QuadraticMap.hasLineDerivAt, HasStrictFDerivAt.snd, fderiv_inv', MultilinearMap.norm_map_coord_zero, ContinuousLinearEquiv.contDiff, ContinuousLinearMap.coeFn_ofIsClosedGraph, Complex.differentiable_iteratedDeriv_cosh, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, Continuous.fderiv_one, AnalyticOnNhd.prod, analyticAt_cexp, contDiffOn_pi', VectorField.mlieBracket_const_smul_right, IsLocalMinOn.fderivWithin_eq_zero, HasStrictDerivAt.star, tendsto_zero_geometric_tsum_pnat, FormalMultilinearSeries.comp_assoc, PiTensorProduct.tprodL_coe, ModelWithCorners.extChartAt_transContinuousLinearEquiv_target, HasFPowerSeriesWithinAt.comp, differentiable_neg_iff, ContMDiff.prodMk, fderivWithin_pow', Real.hasDerivAt_negMulLog, continuousAt_dslope_of_ne, HasFDerivAtFilter.sub_const, ContinuousLinearEquiv.ofBijective_apply_symm_apply, continuousMultilinearCurryFin1_apply, PiLp.hasStrictFDerivAt_toLp, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, LineDifferentiableAt.smul, hasFDerivWithinAt_id, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, TensorialAt.smul, toMeromorphicNFOn_eqOn_codiscrete, mfderiv_id, HasStrictDerivAt.fun_pow, norm_iteratedFDeriv_clm_apply_const, mfderivWithin_comp_of_eq
|
| Name | Category | Theorems |
|---|
induced 📖 | CompOp | — |
toField 📖 | CompOp | 6660 mathmath: withSeminorms_iff_mem_nhds_isVonNBounded, Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.det_toContinuousLinearMap, HasDerivAt.fun_neg, mfderiv_sumSwap, TangentBundle.continuousLinearMapAt_model_space, hasFDerivWithinAt_pi'', hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, ContinuousLinearEquiv.antilipschitz, VectorBundleCore.toFiberBundleCore_coordChange, ContMDiffAt.coordChangeL, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, TensorProduct.mapInclIsometry_apply, ContinuousOn.clm_apply, LinearMap.IsSymmetric.clm_adjoint_eq, ContinuousLinearMap.rayleigh_smul, mfderiv_prod_eq_add, Real.hasDerivAt_fourier, DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply, InnerProductSpace.Core.inner_smul_right, RCLike.conj_re, LinearIsometryEquiv.strictConvex_preimage, TemperedDistribution.lineDerivOpCLM_eq, Bundle.Trivialization.symm_continuousLinearEquivAt_eq, PiTensorProduct.mapL_id, HasStrictFDerivAt.map_implicitFunctionOfComplemented_eq, ContinuousLinearMap.instT2Space, Submodule.starProjection_apply_eq_isComplProjection, DiffContOnCl.smul, IsKrasner.of_completeSpace_of_normal, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Polynomial.differentiableWithinAt, RCLike.sqrt_eq_ite, MeasureTheory.convolution_flip, fun_meromorphicOrderAt_pow_id_sub_const, ContinuousLinearMap.inner_map_map_of_mem_unitary, HasStrictDerivAt.fun_pow', FormalMultilinearSeries.comp_rightInv_aux1, integrableOn_cfcₙ', ContinuousLinearMap.hasFPowerSeriesOnBall, MDifferentiable.coordChangeL, ContinuousLinearEquiv.conjContinuousAlgEquiv_refl, LinearMap.mkContinuous₂_norm_le', FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_changeOrigin, LinearMap.IsStarProjection.ext_iff, hasStrictFDerivAt_apply, differentiableWithinAt_finCons', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, Orthonormal.linearIndependent, HasDerivWithinAt.clog_real, 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, HasDerivWithinAt.clm_comp, SchwartzMap.lineDerivOpCLM_eq, MeasureTheory.lpNorm_conj, AddChar.card_addChar_le, SchauderBasis.norm_proj_le_nnnormProjBound, TensorProduct.enorm_lid, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, continuous_cfcₙHomSuperset_left, LinearMap.IsSymmetric.conj_eigenvalue_eq_self, hasDerivWithinAt_Iio_iff_Iic, cfcₙL_integral, HasStrictFDerivAt.fun_mul', unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, LinearMap.mkContinuous₂_apply, ContinuousLinearMap.le_of_opNorm_le_of_le, TensorProduct.inner_tmul, fderivWithin_ofNat, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, RCLike.one_re, HasMFDerivAt.mul, extDerivWithin_fun_add, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, LinearIsometryEquiv.comp_fderiv, WithSeminorms.banach_steinhaus, MeasureTheory.condExpL1_smul, Seminorm.absorbent_closedBall_zero, ContinuousLinearMap.isBigO_comp, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, ContinuousAlternatingMap.opNorm_prod, Distribution.delta_apply, Orthonormal.inner_left_finsupp, LeftInvariantDerivation.lift_zero, ProbabilityTheory.isGaussian_iff_gaussian_charFun, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, HasFDerivWithinAt.continuousMultilinearMap_apply, Bundle.Trivialization.symm_continuousLinearEquivAt_eq', RCLike.map_apply, LinearMap.bound_of_shell, MDifferentiableOn.clm_postcomp, OrthonormalBasis.orthogonalProjection_eq_sum, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, Seminorm.bound_of_shell, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_fst, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, RCLike.geometric_hahn_banach_point_open, fderivWithin_comp_derivWithin_of_eq, HasDerivAt.const_sub, 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, HasDerivAtFilter.sum, TensorProduct.ext_iff_inner_left, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, Matrix.IsHermitian.isClosedEmbedding_cfcAux, Continuous.clm_comp_const, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, IsUltrametricDist.algNormOfAlgEquiv_extends, RCLike.normSq_to_real, Seminorm.continuous_of_continuous_comp, HasMFDerivAt.add, Asymptotics.IsBigOTVS.congr', WithSeminorms.image_isVonNBounded_iff_seminorm_bounded, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, AnalyticOn.exists_hasFTaylorSeriesUpToOn, Filter.IsBoundedUnder.smul_tendsto_zero, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, InnerProductSpace.span_gramSchmidtNormed, LinearIsometryEquiv.analyticOnNhd, LinearMap.toLinearMap_tracePositiveLinearMap, QuadraticMap.lineDeriv, hasStrictDerivAt_intCast, ContinuousAlternatingMap.uniformContinuous_eval_const, Balanced.smul_mem_iff, cfcₙ_norm_nonneg, ContinuousWithinAt.cfcₙ, LeftInvariantDerivation.leibniz, MeasureTheory.convolution_eq_right', Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasStrictFDerivAt_exp_of_mem_ball, hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, RCLike.reCLM_apply, ContinuousLinearMap.opNorm_le_of_unit_norm, cfcₙHom_apply_mem_elemental, ContinuousMultilinearMap.cpolynomialOn, LinearIsometry.norm_compContinuousAlternatingMap, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, ClosedSubmodule.sub_mem_orthogonal_of_inner_right, IsHilbertSum.surjective_isometry, UniformConvergenceCLM.continuous_of_continuous_uncurry, curveIntegral_smul, RCLike.div_re_ofReal, fun_iteratedFDeriv_add_apply, ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric, Submodule.reflection_trans_reflection, extDeriv_constOfIsEmpty, RCLike.separate_convex_open_set, ContinuousLinearMap.exists_preimage_norm_le, Convex.norm_image_sub_le_of_norm_fderivWithin_le', Bundle.Trivial.symmL_trivialization, SchauderBasis.RankOneDecomposition.proj_tendsto, Real.fderiv_fourierIntegral, Submodule.orthogonalDecomposition_symm_apply, hasStrictFDerivAt_list_prod_finRange', OrthogonalFamily.linearIsometry_apply_single, Filter.Tendsto.cfc, 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, IsHilbertSum.mkInternal, Asymptotics.IsThetaTVS.trans_isBigOTVS, ContMDiffMap.coeFnAlgHom_apply, Function.FactorizedRational.divisor, cfc_mem_elemental, mfderivWithin_range_extChartAt_symm, MDifferentiableAt.clm_bundle_apply, NonUnitalCStarAlgebra.toStarModule, NormedSpace.expSeries_summable_of_mem_ball, AnalyticOn.domDomCongr_iteratedFDerivWithin, Filter.EventuallyEq.fderivWithin, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, LinearMap.IsSymmetric.restrictScalars, StrongDual.norm_extendRCLike, fderivWithin_one, ContinuousLinearMap.continuous_det, HasFiniteFPowerSeriesAt.neg, Polynomial.isEquivalent_atBot_div, PiTensorProduct.mapLMonoidHom_apply, ContinuousLinearMap.opNorm_bound_of_ball_bound, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ClosedSubmodule.toSubmodule_orthogonal_eq, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.isEmbedding_restrictScalars, ContinuousAlternatingMap.norm_constOfIsEmpty, IsBoundedBilinearMap.hasFDerivAt, HasFDerivWithinAt.pow, ContinuousLinearMap.sSup_unit_ball_eq_norm, ContinuousAlternatingMap.norm_ofSubsingleton_id_le, LinearMap.instIsOrderedAddMonoidId, WeakDual.isCompact_polar, hasFDerivWithinAt_const, MeromorphicOn.divisor_fun_smul, ContinuousAlternatingMap.isClosedEmbedding_toContinuousMultilinearMap, Bornology.IsVonNBounded.of_sub_left, nnnorm_cfc_lt, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, HasDerivWithinAt.div_const, hasFDerivAt_one, Real.hasDerivAt_sigmoid, taylorWithinEval_hasDerivAt_Ioo, ContDiffMapSupportedIn.seminorm_monoLM_eq, Manifold.IsImmersionAtOfComplement.target_subset_preimage_target, fderivWithin_fun_smul, Polynomial.derivWithin_aeval, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, ContinuousLinearMap.analyticWithinAt, HasDerivWithinAt.congr_mono, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, complexOfReal_hasDerivWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, ContinuousLinearEquiv.toCompactConvergenceCLM_symm_apply, HasFDerivWithinAt.add, Matrix.IsHermitian.det_abs, MDifferentiableAt.mfderiv_prod, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, ContinuousMultilinearMap.le_mul_prod_of_opNorm_le_of_le, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, LinearMap.IsPositive.ne_zero_iff, hasDerivAt_integral_of_dominated_loc_of_lip, 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, MDifferentiableAt.cle_arrowCongr, ContinuousLinearMap.frontier_preimage, LinearMap.isPositive_adjoint_comp_self, Manifold.IsImmersionAt.map_target_subset_target, BoundedContinuousFunction.algebraMap_apply, DifferentiableAt.finCons, 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, fderivWithin_extChartAt_comp_extChartAt_symm_range, HasFPowerSeriesWithinOnBall.hasSum_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, intervalIntegral.integral_hasDerivWithinAt_right, Matrix.spectrum_toEuclideanLin, ContDiff.iteratedFDeriv_right, Bornology.isVonNBounded_add_of_nonempty, AnalyticAtWithin.compContinuousLinearMap, FormalMultilinearSeries.radius_pi_eq_iInf, ContinuousLinearMap.norm_inl_le_one, iteratedFDeriv_sum_apply, MeasureTheory.norm_condExpL2_le, ZSpan.floor_eq_self_of_mem, ContinuousLinearEquiv.contDiff_comp_iff, AlternatingMap.continuous_of_bound, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, InnerProductSpace.isIdempotentElem_rankOne_self, norm_iteratedFDerivWithin_smul_le, ContinuousLinearMap.opNorm_le_bound', ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, ContinuousMultilinearMap.norm_map_snoc_le, LineDifferentiableWithinAt.smul, MeasureTheory.Measure.MapLinearEquiv.isAddHaarMeasure, Differentiable.clm_comp, Meromorphic.fun_inv, ImplicitFunctionData.isInvertible_fderiv_prodFun, iteratedFDerivWithin_eventually_congr_set, ApproximatesLinearOn.lipschitz, 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, HasStrictDerivAt.pow, ContinuousLinearMap.isUniformEmbedding_restrictScalars, hasDerivWithinAt_taylorWithinEval, RCLike.star_def, Differentiable.continuousMultilinear_apply_const, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, DifferentiableWithinAt.finCons, Asymptotics.isLittleOTVS_one, norm_iteratedFDerivWithin_one, HasFTaylorSeriesUpTo.cont, ContDiffAt.clm_apply, ImplicitFunctionData.isCompl_ker, HasDerivAt.hasDerivWithinAt, ContinuousLinearMap.hasDerivAtFilter, Polynomial.div_tendsto_atTop_leadingCoeff_div_of_degree_eq, fderivWithin_csinh, DoubleCentralizer.intCast_snd, HasDerivAtFilter.comp_hasFDerivAtFilter, DoubleCentralizer.range_toProdMulOpposite, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, ContinuousLinearMapWOT.withSeminorms, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, HasDerivWithinAt.fun_div, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, Submodule.re_inner_starProjection_eq_normSq, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, differentiableWithinAt_pi'', mdifferentiableAt_iff_localFrame_coeff, VectorField.fderiv_apply_lieBracket, MeasureTheory.inner_condExpL2_left_eq_right, integrableOn_cfc', HasFDerivWithinAt.of_local_left_inverse, ContinuousLinearMap.opNorm_ext, IsCovariantDerivativeOn.difference_apply, OpenPartialHomeomorph.hasDerivAt_symm, 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, ContinuousLinearMap.integral_apply, RCLike.algebraMap_eq_ofReal, Module.Basis.constrL_basis, HasDerivAt.fun_finset_prod, ContinuousLinearMap.precompUniformConvergenceCLM_apply, Submodule.reflection_orthogonal_apply, OpenPartialHomeomorph.hasStrictFDerivAt_symm, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', ContinuousLinearMap.comp_memLp, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, MeasureTheory.integral_fintype_prod_volume_eq_pow, Real.fderiv_fourierChar_neg_bilinear_right_apply, ContMDiffCovariantDerivativeOn.affine_combination, LinearMap.orthogonal_ker, SchauderBasis.tendsto_proj, LinearMap.IsSymmetric.diagonalization_apply_self_apply, LinearIsometryEquiv.comp_fderivWithin, LinearMap.IsPositive.re_inner_nonneg_right, ContinuousAlternatingMap.instIsUniformAddGroup, Real.fourier_continuousLinearMap_apply, norm_iteratedFDeriv_comp_le', banach_steinhaus_iSup_nnnorm, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', SchauderBasis.proj_zero, intervalIntegral.fderiv_integral_of_tendsto_ae, NumberField.InfinitePlace.Completion.surjective_extensionEmbedding_of_isComplex, ContDiffAt.fderiv_right_succ, flip_innerSL_real, norm_cfc_lt_iff, Submodule.starProjection_orthogonal', RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, NormedSpace.isBounded_iff_subset_smul_ball, AffineIsometryEquiv.ofTop_apply, HasFDerivWithinAt.clm_apply, DoubleCentralizer.natCast_fst, hasFPowerSeriesOnBall_pi_iff, LinearMap.IsSymmetric.im_inner_self_apply, Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eq, DifferentiableAt.prodMap, ContinuousLinearMap.IsPositive.toLinearMap, AnalyticOnNhd.iteratedFDeriv_of_isOpen, ContinuousLinearMap.norm_compLp_le, Submodule.toLinearEquiv_orthogonalDecomposition, HasFPowerSeriesOnBall.unshift, Continuous.convolution_integrand_fst, MDifferentiableOn.smul_const_section, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContinuousLinearEquiv.symm_toDiffeomorph, ContDiffMapSupportedIn.structureMapCLM_apply, RCLike.sub_conj, iteratedFDerivWithin_succ_eq_comp_right, 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', Module.Dual.extendRCLikeₗ_symm_apply, MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, tangentMap_snd, iteratedDerivWithin_vcomp_two, SchwartzMap.lineDerivOp_fourier_eq, RCLike.pos_iff, ContinuousWithinAt.continuousLinearMapCoprod, isClosedEmbedding_cfcₙAux, AddChar.wInner_cWeight_self, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, 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, Orthonormal.codRestrict, SeminormFamily.filter_eq_iInf, aemeasurable_smul_const, LinearIsometry.rTensor_def, LinearIsometryEquiv.fderivWithin, 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, LinearMap.singularValues_zero, ContinuousAlternatingMap.tsum_eval, norm_iteratedFDerivWithin_clm_apply, ContMDiffWithinAt.mfderivWithin_const, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, HasFDerivAtFilter.sub, Unitization.splitMul_apply, ContMDiffOn.clm_postcomp, inner_eq_norm_mul_iff, RCLike.geometric_hahn_banach_of_nonempty_interior_point, Bundle.Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm, ContinuousLinearMap.toBilinForm_apply, Measurable.apply_continuousLinearMap, iteratedDerivWithin_comp_two, DoubleCentralizer.nnnorm_def', ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, Asymptotics.IsLittleOTVS.tendsto_div, ClosedSubmodule.orthogonal_gc, LinearMap.isPositive_id, Seminorm.bddAbove_range_iff, fderivWithin_zero_of_not_accPt, bilinearIteratedFDerivTwo_eq_iteratedFDeriv, dist_iteratedFDerivWithin_one, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, NormedSpace.image_isVonNBounded_iff, VectorField.mpullbackWithin_smul, nnnorm_cfcₙ_lt_iff, eqOn_dslope_sub_smul, Submodule.orthogonalProjection_mem_subspace_eq_self, Seminorm.closedBall_iSup, 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, norm_iteratedFDerivWithin_comp_le_aux, mfderiv_comp, GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpace, MultilinearMap.mkContinuousMultilinear_apply, InnerProductSpace.span_gramSchmidtNormed_range, HasFDerivWithinAt.hasLineDerivWithinAt, ContinuousLinearMap.opNorm_comp_linearIsometryEquiv, Submodule.orthogonal_disjoint, StrongDual.norm_extendRCLike_bound, 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, ContinuousAlternatingMap.le_mul_prod_of_opNorm_le_of_le, Matrix.spectrum_toLpLin, HasDerivAt.comp_ofReal, OrderedFinpartition.norm_compAlongOrderedFinpartition_le, tangentConeAt_nonempty_of_properSpace, instIsZLatticeComap, ContinuousOn.cfcₙ', mdifferentiableOn_symm_coordChangeL, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, Continuous.integral_hasStrictDerivAt, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, ContinuousMultilinearMap.uniformContinuous_eval_const, Submodule.mem_orthogonal_singleton_iff_inner_right, fderiv_clm_comp, mdifferentiableWithinAt_smul_const_section, InnerProductSpace.Core.inner_smul_left, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, ContinuousMap.setOfIdeal_ofSet_eq_interior, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, OrthogonalFamily.of_pairwise, GeneralSchauderBasis.tendsto_proj, IsConformalMap.is_complex_or_conj_linear, fderiv_continuousAlternatingMap_apply_const, MeasureTheory.integral_fintype_prod_eq_prod, HasStrictFDerivAt.finCons, ContinuousLinearMap.nhds_zero_eq_of_basis, HasGradientAt.hasDerivAt', IsHilbertSum.linearIsometryEquiv_symm_apply, SmoothBumpCovering.exists_immersion_euclidean, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, OrderedFinpartition.norm_applyOrderedFinpartition_le, iteratedDeriv_pow, ContinuousLinearMap.cpolynomialAt, HasMFDerivWithinAt.prodMk, differentiableOn_pi, AffineMap.hasDerivWithinAt, Submodule.starProjection_singleton, RCLike.conj_nat_cast, HasFPowerSeriesAt.eventually_hasSum, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, mfderiv_comp_apply_of_eq, ContDiffMapSupportedIn.seminorm_fderivLM_le, RKHS.coe_smul, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, ContDiffMapSupportedIn.seminorm_fderivLM_top, HasStrictDerivAt.of_local_left_inverse, hasStrictFDerivAt_snd, IsGreatest.nnnorm_cfcₙ, NormedSpace.toIsBoundedSMul, ContinuousAt.cfc, HasFPowerSeriesAt.neg, ContinuousAlternatingMap.isClosed_range_toContinuousMultilinearMap, ContDiffWithinAt.clm_apply, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, curveIntegralFun_smul, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, addInvariantVectorField_smul, ContinuousMultilinearMap.eventually_nhds_zero_mapsTo, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivWithinAt, Module.Basis.exists_opNorm_le, ClosedSubmodule.mem_orthogonal', RCLike.ofReal_re, ContinuousLinearMap.ker_le_ker_iff_range_le_range, egauge_ball_le_of_one_lt_norm, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, GeneralSchauderBasis.proj_apply, hasStrictFDerivAt_iff_isLittleOTVS, AnalyticOn.iteratedFDerivWithin, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, extDerivWithin_pullback, ContinuousLinearEquiv.toCompactConvergenceCLM_apply, DifferentiableOn.clm_apply, ContMDiff.clm_apply, OrthogonalFamily.orthonormal_sigma_orthonormal, LinearMap.continuous_of_seq_closed_graph, RCLike.re_add_im_ax, ContinuousAlternatingMap.piLIE_apply_apply, PreInnerProductSpace.Core.smul_left, Differentiable.fderiv_norm_rpow, UniqueMDiffOn.uniqueDiffOn, fderivWithin_fderivWithin, 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, AlternatingMap.bound_of_shell_of_continuous, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, ContinuousLinearEquiv.coe_toDiffeomorph_symm, Submodule.reflection_symm, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, TensorProduct.ext_iff_inner_right_threefold', FormalMultilinearSeries.hasSum_of_finite, CurveIntegrable.zero, fderiv_comp_deriv, ContinuousMultilinearMap.contDiffAt, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, hasDerivAtFilter_ofNat, iteratedDeriv_comp_const_mul, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, RCLike.is_real_TFAE, Seminorm.continuous', FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, Asymptotics.IsBigOTVS.add, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', HasFPowerSeriesOnBall.restrictScalars, ContDiffOn.clm_apply, ContinuousLinearMap.opNNNorm_le_iff, ContinuousLinearMap.isometry_mul_flip, OrthonormalBasis.toBasis_singleton, ZSpan.smul, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', inner_gradientWithin_right, fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, Module.Basis.ofZLatticeComap_apply, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, 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, hasStrictFDerivAt_exp_smul_const_of_mem_ball', contDiffOn_iff_continuousOn_differentiableOn, norm_sub_mul_self, Submodule.sub_mem_orthogonal_of_inner_left, hasFDerivWithinAt_comp_smul_iff_smul, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Submodule.starProjection_comp_starProjection_eq_zero_iff, FDerivMeasurableAux.differentiable_set_subset_D, SchwartzMap.laplacianCLM_eq, fderiv_fun_smul, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDerivAt, MeromorphicOn.fun_smul, monomial_has_deriv_aux, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, continuous_equivFun_basis, exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensional, LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm, LinearIsometryEquiv.conjStarAlgEquiv_apply, MeasureTheory.smul_convolution, Bundle.ContinuousLinearMap.vectorBundle, ContinuousLinearMap.isCompact_image_coe_of_bounded_of_closed_image, VectorField.mlieBracketWithin_const_smul_right, HasDerivWithinAt.sub, HasFDerivAt.le_of_lipschitzOn, LinearMap.toMatrixOrthonormal_reindex, contDiff_one_iff_fderiv, MeasureTheory.ConvolutionExistsAt.integrable, LinearMap.ker_self_comp_adjoint, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, Asymptotics.isLittleOTVS_prodMk_left, inner_smul_left_eq_star_smul, norm_cfc_le_iff, fderivWithin_sinh, RCLike.mul_conj, iter_deriv_zpow', RCLike.norm_conj, Asymptotics.IsBigOTVS.comp_tendsto, ValueDistribution.logCounting_pow_top, WithSeminorms.continuousSMul, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, HasFDerivWithinAt.comp_of_tendsto, hasDerivAt_of_hasDerivAt_of_ne, smul_unitClosedBall, im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, HasStrictFDerivAt.const_mul, ContinuousLinearMap.opNorm_mul_flip_apply, deriv_conj_conj, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, LinearMap.IsSymmetricProjection.ext_iff, ConvexOn.univ_sSup_of_countable_affine_eq, ContinuousLinearMap.ebound, InnerProductSpace.inner_left_rankOne_apply, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, HasFDerivWithinAt.fst, norm_iteratedFDeriv_clm_apply, TestFunction.toBoundedContinuousFunctionCLM_apply, RCLike.continuous_normSq, IsLocalFrameOn.coeff_apply_of_mem, ClosedSubmodule.orthogonal_injective, ContinuousAlternatingMap.norm_def, InnerProductSpace.gramSchmidtNormed_linearIndependent, HasFDerivAt.finset_prod, ContinuousLinearMap.ofMemClosureImageCoeBounded_apply, SchwartzMap.fderivCLM_apply, hasStrictDerivAt_abs_pos, Module.Dual.re_extendRCLike_apply, ContinuousLinearMap.smul_compLp, difference_quotients_converge_uniformly, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, Submodule.norm_starProjection_apply_le, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, Bundle.Trivialization.localFrame_coeff_congr, ContinuousLinearMap.contMDiff, ContinuousLinearMap.mdifferentiable, HasStrictFDerivAt.fun_sum, cfcHom_mem_elemental, HasSum.hasSum_at_zero, cfcₙHom_mem_elemental, HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, VectorBundleCore.coordChange_self, lineDifferentiableAt_smul_iff, differentiable_fst, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, fderiv_const_smul_field, FormalMultilinearSeries.taylorComp_sub_taylorComp_isBigO, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, LinearIsometry.map_starProjection', RCLike.ofNat_re, ContinuousLinearMap.hasBasis_nhds_zero, Continuous.clm_comp, polynomialFunctions.starClosure_topologicalClosure, Bornology.IsVonNBounded.of_add_right, 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, ContMDiffAt.clm_postcomp, RCLike.ofReal_balance, Submodule.symmetric_isOrtho, IsCompactOperator.image_subset_compact_of_isVonNBounded, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, mdifferentiableWithinAt_iff_exists_hasMFDerivWithinAt, 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, Submodule.starProjection_tendsto_self, 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, LinearMap.IsSymmetric.splits_charpoly, Continuous.cfc', OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, HasFDerivAt.continuousMultilinear_apply_const, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, HasFDerivWithinAt.continuousAlternatingMap_apply, ContinuousLinearMap.IsPositive.smul_of_nonneg, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, AnalyticOn.iteratedFDerivWithin_comp_perm, Unitary.coe_linearIsometryEquiv_apply, FormalMultilinearSeries.sum_of_finite, 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, HasDerivAt.hasGradientAt, HasFDerivAt.of_notMem_tsupport, HasFTaylorSeriesUpToOn.zero_eq', fderiv_sum, Asymptotics.IsLittleOTVS.trans_isThetaTVS, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, SchauderBasis.range_proj_eq_span, HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal, DifferentiableWithinAt.fderivWithin_prodMk, ContinuousMultilinearMap.fin0_apply_enorm, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, WithSeminorms.withSeminorms_eq, HasFiniteFPowerSeriesAt.finite, HasFDerivWithinAt.const_mul, isClosed_setOf_tendsto_birkhoffAverage, ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator, deriv_fun_inv'', fderiv_ofNat, AnalyticOn.hasFPowerSeriesOnSubball, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, FormalMultilinearSeries.id_apply_one', contMDiffOn_localFrame_coeff, ContDiffMapSupportedIn.monoLM_apply, HasDerivWithinAt.Iic_of_Iio, ContinuousMultilinearMap.norm_smulRightL_le, tensorIteratedFDerivTwo_eq_iteratedFDeriv, AnalyticOnNhd.iteratedFDeriv, ContinuousLinearEquiv.contDiffAt_comp_iff, Asymptotics.isTheta_inv, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, IsSelfAdjoint.adjoint_eq, Submodule.finrank_add_finrank_orthogonal', Bundle.Pretrivialization.continuousLinearMap_apply, ContinuousLinearEquiv.isBigO_comp, HasStrictFDerivAt.star, LinearMap.isHermitian_toMatrix_iff, OrthonormalBasis.measurePreserving_repr, Asymptotics.IsLittleOTVS.prodMk, Submodule.reflection_apply, RCLike.ofReal_comp_balance, RCLike.abs_re_le_norm, curveIntegralFun_segment, HasDerivWithinAt.clm_apply, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.hasDerivAt, ContinuousLinearMap.coe_mkOfIsCompactOperator, fderivWithin_zero, RKHS.kernel_apply, HasDerivAt.finCons, Seminorm.bound_of_continuous_normedSpace, RCLike.geometric_hahn_banach_closed_point, differentiable_finCons', Submodule.orthogonal_eq_bot_iff, TensorProduct.adjoint_map, IsUltrametricDist.invariantExtension_apply, HasDerivAtFilter.add, curveIntegral_neg, AEMeasurable.im, cfcₙ_setIntegral, HasFDerivAt.sub, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, LinearIsometryEquiv.lTensor_apply, mfderiv_comp_of_eq, MDifferentiable.clm_postcomp, InnerProductSpace.gramSchmidt_def, HasFDerivAt.star, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, LinearMap.ker_adjoint_comp_self, ContinuousLinearMap.completeSpace, iteratedFDerivWithin_succ_const, Asymptotics.IsLittleOTVS.insert, 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, fderivWithin_const_sub, hasDerivAt_iff_isLittleO, spectrum.isOpen_resolventSet, HasDerivWithinAt.hasFDerivWithinAt, UniqueDiffWithinAt.smul, Unitary.linearIsometryEquiv_coe_apply, Polynomial.abs_div_tendsto_atTop_of_degree_gt, Matrix.IsHermitian.eigenvectorUnitary_col_eq, NormedSpace.isBounded_iff_subset_smul_closedBall, contMDiffOn_baseSet_iff_localFrame_coeff, LDL.lowerInv_eq_gramSchmidtBasis, ContinuousLinearMap.coe_equivProdOfSurjectiveOfIsCompl, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, hasFPowerSeriesAt_const, hasStrictFDerivAt_pi', HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, HasFDerivAtFilter.neg, fderiv_eq_deriv_mul, UniformOnFun.continuousSMul_induced_of_image_bounded, Submodule.starProjection_inner_eq_zero, 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, HasFPowerSeriesWithinOnBall.fderivWithin, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, inTangentCoordinates_eq_mfderiv_comp, FormalMultilinearSeries.radius_compNeg, hasFDerivAtFilter_ofNat, hasFDerivAtFilter_zero, HasFDerivAt.multilinear_comp, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, SchwartzMap.fourierMultiplierCLM_compL_fourierMultiplierCLM, Real.fourierIntegral_continuousMultilinearMap_apply, LinearPMap.adjointAux_unique, HasStrictDerivAt.fun_sum, LinearIsometryEquiv.adjoint_eq_symm, extDeriv_fun_smul, VectorField.mpullback_const_smul_apply, 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, Bornology.IsVonNBounded.image_multilinear', ContinuousMultilinearMap.uniformity_eq_seminorm, HasDerivAt.congr_of_eventuallyEq, 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', fderivWithin_const_mul, RCLike.im_eq_zero_iff_isSelfAdjoint, HasFDerivWithinAt.multiset_prod, IsHilbertSum.hasSum_linearIsometryEquiv_symm, ContinuousMultilinearMap.le_of_opNNNorm_le, ContinuousLinearMap.opNorm_mul, Submodule.IsOrtho.map_iff, MeasureTheory.integral_fintype_prod_eq_pow, DoubleCentralizer.smul_toProd, fderivWithin_pi, mfderivWithin_projIcc_one, ModelWithCorners.isInvertible_fderivWithin_extendCoordChange, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, ContinuousAlternatingMap.hasSum_eval, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, ContinuousLinearMapWOT.le_nhds_iff_forall_dual_apply_le_nhds, AlternatingMap.bound_of_shell, Seminorm.bddAbove_of_absorbent, inner_mul_inner_self_le, Module.Dual.im_extendRCLike_apply, Orthonormal.basisTensorProduct, InnerProductSpace.Core.inner_smul_ofReal_right, HasFDerivAt.arctan, LinearEquiv.coe_isometryOfOrthonormal, fderivWithin_star, PiTensorProduct.mapL_one, Matrix.IsHermitian.eigenvalues_eq_eigenvalues_iff, Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg, DoubleCentralizer.toProdMulOpposite_injective, RCLike.conjCLE_apply, ContinuousLinearMap.norm_fst_le, HasStrictFDerivAt.eq_implicitFunctionOfComplemented, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, Asymptotics.IsLittleOTVS.neg_right, PointwiseConvergenceCLM.postcomp_apply, ContMDiffAt.mfderiv_apply, hasFDerivAt_snd, HasFTaylorSeriesUpTo.fderiv_eq, HasDerivAt.fun_pow', DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, UpperHalfPlane.coe_pos_real_smul, ContinuousLinearMap.exists_lt_apply_of_lt_opNNNorm, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, ContinuousLinearMap.le_opNorm, IsUltrametricDist.invariantExtension_extends, TestFunction.fderivCLM_ofSupportedIn, RCLike.mul_im_ax, ImplicitFunctionData.range_leftDeriv, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, fderivWithin_fun_neg, DifferentiableAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, Orthonormal.inner_left_fintype, LinearMap.IsSymmetricProjection.sub_of_range_le_range, LinearMap.IsSymmetric.conj_adjoint, InnerProductSpace.Core.norm_eq_sqrt_re_inner, HasLineDerivAt.tendsto_slope_zero_right, Balanced.convexHull, ZLattice.comap_toAddSubgroup, Complex.hasDerivAt_GammaIntegral, NormedSpace.expSeries_summable, fderiv_continuousAlternatingMapCompContinuousLinearMap, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, compactOperator_topologicalClosure, RCLike.wInner_cWeight_eq_expect, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_apply, Submodule.coe_orthogonalDecomposition_symm, ContinuousLinearMap.isEmbedding_postcomp, Complex.starConvex_ofReal_slitPlane, PiTensorProduct.mapL_smul, BoundedContinuousFunction.coe_toContinuousMapStarₐ, MeasureTheory.aestronglyMeasurable_condExpL2, cfcL_integrable, Submodule.orthogonalProjection_bot, Real.fderiv_fourier, DoubleCentralizer.norm_def', ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, ContinuousWithinAt.clm_apply_of_inCoordinates, differentiable_apply, coe_basisOfOrthonormalOfCardEqFinrank, RCLike.abs_re_div_norm_le_one, Submodule.range_starProjection, MDifferentiable.clm_bundle_apply₂, ContinuousLinearMap.fderiv, fderiv_neg, norm_sub_sq, RCLike.toIsStrictOrderedRing, LinearIsometryEquiv.inner_map_eq_flip, MeasureTheory.convolution_smul, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, Polynomial.isEquivalent_atTop_lead, binomialSeries_radius_eq_one, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, ContinuousLinearMap.integrableAtFilter_comp, ContDiffAt.inv, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, Pi.counit_eq_adjoint, WithLp.unitization_algebraMap, IsSelfAdjoint.isSymmetric, ContinuousAlternatingMap.instContinuousSMul, HasDerivAt.comp_hasFDerivWithinAt, WithAbs.isometry_of_comp, LinearMap.toMatrixOrthonormal_apply_apply, RCLike.I_re_ax, HasFDerivAt.restrictScalars, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, ContinuousLinearMap.fpowerSeries_apply_zero, EuclideanGeometry.dist_orthogonalProjection_eq_of_oangle_eq, Submodule.finrank_add_inf_finrank_orthogonal, VectorPrebundle.mk_contMDiffCoordChange, Polynomial.isLittleO_atTop_of_degree_lt, Submodule.exists_add_mem_mem_orthogonal, PiTensorProduct.projectiveSeminorm_apply, extDerivWithin_constOfIsEmpty, 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, ContinuousLinearMap.norm_iteratedFDerivWithin_comp_left, HasFDerivAtFilter.isThetaTVS_sub, RCLike.re_nonneg_of_nonneg, ContinuousLinearEquiv.coeFn_ofBijective, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, ContinuousLinearMap.integral_comp_comm', LinearMap.IsSymmetric.coe_re_inner_self_apply, ContinuousLinearMap.comp_memLp', ContinuousOn.cfc, HasStrictFDerivAt.list_prod', Meromorphic.prod, SchwartzMap.fourier_lineDerivOp_eq, HasFDerivWithinAt.isThetaTVS_sub, Manifold.IsImmersionAtOfComplement.map_target_subset_target, Complex.starConvex_one_slitPlane, LinearMap.isBigOTVS_rev_comp, AddChar.wInner_cWeight_eq_zero_iff_ne, LinearMap.toContinuousBilinearMap_apply, ContinuousLinearMapWOT.inducingFn_apply, DirichletCharacter.norm_le_one, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, norm_iteratedFDerivWithin_clm_apply_const, RCLike.iInter_countable_halfSpaces_eq, ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith, hasStrictDerivAt_exp_smul_const, MeasureTheory.iteratedFDeriv_charFun, IsAlgClosed.of_denseRange, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Filter.EventuallyEq.ftaylorSeries, 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, hasLineDerivWithinAt_smul_iff, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, Asymptotics.IsTheta.smul, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, MDifferentiable.const_smul, hasMFDerivAt_fst, MeasureTheory.condExpL2_indicator_ae_eq_smul, ContinuousLinearMap.exists_lt_apply_of_lt_opNorm, Asymptotics.IsBigOTVS.neg_right, fderiv_fun_sub, mfderivWithin_comp_projIcc_one, LeftInvariantDerivation.lift_smul, IsMIntegralCurveOn.hasDerivWithinAt, Bundle.Trivialization.coe_continuousLinearEquivAt_eq, RCLike.complexRingEquiv_apply, FormalMultilinearSeries.rightInv_removeZero, WithAbs.uniformSpace_comap_eq_of_comp, MeromorphicOn.prod, isCompactOperator_iff_isCompact_closure_image_ball, ContinuousMultilinearMap.isEmbedding_restrictScalars, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', HasDerivWithinAt.comp, hasStrictDerivAt_exp_smul_const', HasCompactSupport.fderiv, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, LinearIsometry.toAffineIsometry_toAffineMap, MeromorphicAt.fun_smul, 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, HasDerivAt.add, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, LinearMap.exists_map_addHaar_eq_smul_addHaar, Submodule.le_orthogonal_orthogonal, HasMFDerivAt.smul, hasFDerivWithinAt_intCast, EulerProduct.eulerProduct_completely_multiplicative, LinearMap.eq_adjoint_iff_basis_left, contDiff_succ_iff_fderiv, HasStrictDerivAt.div, ContinuousLinearMap.opNNNorm_prod, ContinuousLinearEquiv.comp_differentiableOn_iff, MDifferentiableOn.smul, MDifferentiableAt.clm_prodMap, ZLattice.rank, hasDerivAtFilter_zero, HasMFDerivAt.neg, Seminorm.map_eq_zero_of_norm_zero, smul_closedBall', spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, ZSpan.quotientEquiv_apply_mk, LinearMap.IsSymmetricProjection.isIdempotentElem, HasFDerivAt.fun_const_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, Polynomial.div_tendsto_atTop_of_degree_gt', Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Matrix.PosSemidef.posDef_iff_isUnit, PiTensorProduct.norm_def, Manifold.pathELength_def, WeakDual.toStrongDual_inj, EuclideanSpace.volume_closedBall_fin_three, ContinuousLinearMap.uniformContinuous_restrictScalars, ContinuousLinearMap.mulLeftRight_apply, re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two, isModuleTopologyOfFiniteDimensional, LinearMap.extendTo𝕜'_apply, Differentiable.finCons, LinearIsometryEquiv.fderiv, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, ContinuousLinearMap.holderₗ_apply_apply, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, dslope_sub_smul, rescale_to_shell_semi_normed_zpow, ContinuousMultilinearMap.unit_le_opNorm, LinearMap.dualEmbedding_surjective, IsKrasner.krasner', ContinuousMultilinearMap.curryRight_norm, hasDerivWithinAt_Iic_of_tendsto_deriv, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, Matrix.IsHermitian.eigenvectorUnitary_mulVec, Submodule.instHasOrthogonalProjectionOfCompleteSpace, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, iteratedFDeriv_comp_const_smul, InnerProductSpace.unique_continuousLinearMapOfBilin, fderiv.log, HasStrictDerivAt.mul, FDerivMeasurableAux.norm_sub_le_of_mem_A, HasFDerivAt.add, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, ContinuousLinearMap.continuous_of_continuous_uncurry, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, MeasureTheory.convolution_lsmul, MDifferentiableAt.clm_postcomp, Submodule.orthogonal_orthogonal_monotone, fderiv_continuousAlternatingMap_apply, ContinuousAlternatingMap.instContinuousConstSMul, LineDifferentiableAt.of_comp, Module.Dual.norm_extendRCLike_apply_sq, curveIntegral_fun_zero, ContDiffWithinAt.continuousWithinAt_iteratedFDerivWithin, MDifferentiable.clm_bundle_apply, ContDiffMapSupportedIn.monoLM_eq_of_scalars, meromorphicNFOn_smul_iff_right_of_analyticOnNhd, ModelWithCorners.uniqueDiffOn_preimage, LinearMap.nonneg_iff_isPositive, Polynomial.exists_aroots_norm_sub_lt_of_norm_coeff_sub_lt, Bornology.isVonNBounded_covers, iteratedFDeriv_zero, hasDerivAt_abs_neg, coe_innerSL_apply, fderivWithin_finset_prod, HasFDerivWithinAt.const_sub, LinearMap.IsSymmetric.inner_map_self_eq_zero, ContinuousLinearMap.isCompact_image_coe_closedBall, HasDerivAt.pow, 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, IsCovariantDerivativeOn.torsion_self, HasFPowerSeriesOnBall.coeff_zero, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, hasFDerivAtFilter_const, VectorBundleCore.localTriv_symm_fst, range_cfcₙHom, MDifferentiableWithinAt.clm_bundle_apply₂, fun_meromorphicOrderAt_smul, HasMFDerivWithinAt.prodMap, TestFunction.limitCLM_apply, VectorField.pullbackWithin_eq_of_fderivWithin_eq, hasDerivWithinAt_abs, hasFPowerSeriesOnBall_const, hasFDerivAtFilter_iff_isLittleO, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, ContinuousLinearEquiv.one_le_norm_mul_norm_symm, TensorProduct.lidIsometry_apply, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, OrthogonalFamily.isInternal_iff_of_isComplete, eventually_norm_mfderivWithin_symm_extChartAt_lt, ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, DifferentiableAt.star_conj, ContinuousLinearMap.antilipschitz_of_isEmbedding, UniqueMDiffOn.uniqueDiffOn_target_inter, meromorphicNFOn_fun_prod, convex_halfSpace_re_le, VectorFourier.hasFDerivAt_fourierIntegral, extDerivWithin_add, LinearMap.isClosedEmbedding_of_injective, Seminorm.ball_norm_mul_subset, DirichletCharacter.unit_norm_eq_one, Valued.integer.exists_norm_lt_one, Module.Basis.coe_toOrthonormalBasis_repr, iteratedFDeriv_sum, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, hasFDerivAt_ringInverse, LinearMap.IsPositive.inner_nonneg_left, tensorIteratedFDerivWithinTwo_eq_iteratedFDerivWithin, norm_cfcₙ_lt, ContinuousMultilinearMap.opNorm_smul_le, contDiffAt_one_iff, Function.HasTemperateGrowth.fun_smul, Filter.HasBasis.isLittleOTVS_iff, HasFDerivAt.continuousAlternatingMap_apply, MeasureTheory.convolution_precompR_apply, HasFDerivWithinAt.of_notMem_tsupport, MultilinearMap.norm_image_sub_le_of_bound', ContinuousLinearMap.instCStarRingId, WeakDual.coe_toStrongDual, NormedSpace.eq_zero_iff_forall_dual_eq_zero, SchwartzMap.compSubConstCLM_apply, hasFDerivAt_finCons, Matrix.linfty_opNNNorm_eq_opNNNorm, VectorFourier.fourierIntegral_iteratedFDeriv, HasMFDerivWithinAt.neg, AffineIsometryEquiv.map_vsub, hasFDerivWithinAt_finCons, InformationTheory.hasDerivAt_klFun, UnconditionalSchauderBasis.enorm_proj_le_enormProjBound, MeasureTheory.setIntegral_condExpL2_indicator, InnerProductSpace.nnnorm_rankOne, AlternatingMap.coe_mkContinuous, ContinuousMultilinearMap.norm_restr, ContinuousMultilinearMap.norm_image_sub_le, PreInnerProductSpace.Core.conj_inner_symm, ProbabilityTheory.isPosSemidef_covarianceBilin, range_cfc_subset, 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, iteratedFDerivWithin_const_smul_apply, HasFDerivWithinAt.star, HasDerivAt.fun_pow, HasStrictFDerivAt.fst, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, FormalMultilinearSeries.taylorComp_sub_taylorComp_isLittleO, ContinuousLinearMap.norm_toSpanSingleton, FormalMultilinearSeries.continuousOn_of_finite, LinearMap.isSymmetric_self_comp_adjoint, fderivWithin_eventually_congr_set', intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left, ContinuousLinearMap.coe_equivRange, ContinuousLinearMap.setIntegral_compLp, LinearMap.trace_eq_sum_inner, VectorField.fderivWithin_pullbackWithin, ContinuousLinearMap.toUniformConvergenceCLM_apply, ContinuousLinearMap.interior_preimage, 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, HasDerivAtFilter.mono, ContinuousMap.spectrum_eq_preimage_range, ContinuousLinearEquiv.isBigO_sub, HasFDerivAt.isBigOTVS_sub, Submodule.norm_eq_iInf_iff_inner_eq_zero, HasDerivWithinAt.fun_pow', Module.Dual.extendRCLike_apply, LinearMap.exists_antilipschitzWith, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, spectralNorm_eq_iSup_of_finiteDimensional_normal, Polynomial.coeff_le_of_roots_le, RKHS.isHermitian_kernel, Module.Basis.constrL_apply, MeromorphicOn.divisor_fun_pow, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, HasFDerivWithinAt.const_smul, Matrix.IsHermitian.charpoly_cfc_eq, Bundle.Trivialization.localFrame_apply_of_mem_baseSet, NormedSpace.norm_expSeries_summable, ContinuousLinearEquiv.hasMFDerivAt, MeasureTheory.ConvolutionExistsAt.integrable_swap, IsGreatest.norm_cfcₙ, ContinuousOn.clm_comp, Polynomial.deriv_aeval, VectorBundleCore.trivializationAt_coordChange_eq, hasGradientWithinAt_iff_hasFDerivWithinAt, fderivWithin_id, DoubleCentralizer.nnnorm_def, MultilinearMap.coe_mkContinuous, norm_inner_eq_norm_iff, spectrum.isCompact, RCLike.re_monotone, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, DirectSum.IsInternal.subordinateOrthonormalBasis_subordinate, hasDerivAt_tsum_of_isPreconnected, Matrix.gram_eq_conjTranspose_mul, ContinuousLinearMap.measurable_apply₂, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, continuousOn_tangentCoordChange, ContinuousAlternatingMap.isEmbedding_toContinuousMultilinearMap, ContMDiffCovariantDerivativeOn.finite_affine_combination, RCLike.im_ofReal_pow, MultilinearMap.bound_of_shell_of_norm_map_coord_zero, LinearIsometryEquiv.smul_apply, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, LinearIsometryEquiv.contDiff, LinearMap.IsSymmetric.card_filter_eigenvalues_eq, HasFDerivAt.comp_hasFDerivWithinAt, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, ContDiff.continuous_fderiv_apply, FiniteDimensional.RCLike.properSpace_submodule, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, EuclideanGeometry.dist_orthogonalProjection_eq_of_two_zsmul_oangle_eq, Function.hasTemperateGrowth_iff_isBigO, range_stereographic_symm, cfcₙ_comp_norm, ContinuousLinearMap.norm_eq_iSup_rayleighQuotient, Seminorm.convexOn, Asymptotics.IsTheta.finsetProd, iteratedFDerivWithin_neg_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.fun_finset_prod, ContinuousAt.clm_apply, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, DifferentiableWithinAt.prodMk, PiLp.volume_preserving_toLp, CompactlySupportedContinuousMap.coe_toRealLinearMap, LowerSemicontinuousOn.isClosed_re_epigraph, HasStrictFDerivAt.to_implicitFunctionOfComplemented, IsLocalExtr.fderiv_eq_zero, EuclideanGeometry.orthogonalProjection_apply', MeromorphicOn.divisor_fun_prod, WithSeminorms.continuous_normedSpace_dom, ContMDiffAt.smul, isOpenEmbedding_stereographic_symm, Module.Basis.norm_smul, intervalIntegral.integral_hasDerivWithinAt_left, LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional, GeneralSchauderBasis.expansion, Polynomial.ofReal_eval, HasFPowerSeriesOnBall.fderiv_eq, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, strictConvex_closedBall, ContinuousLinearMap.opNorm_le_of_shell', Continuous.cfcₙ_of_mem_nhdsSet, NormedSpace.toNormSMulClass, mfderivWithin_comp_of_preimage_mem_nhdsWithin_of_eq, ContinuousMultilinearMap.nnnorm_constOfIsEmpty, ContinuousLinearMapWOT.instLocallyConvexSpace, inner_self_im, ContinuousLinearMap.instLocallyConvexSpace, IsCovariantDerivativeOn.smul_const, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, VectorBundle.trivialization_linear', SchwartzMap.smulLeftCLM_sum, ContinuousAlternatingMap.isUniformInducing_postcomp, PiTensorProduct.projectiveSeminorm_tprod_le, ContinuousLinearMap.HasLeftInverse.of_injective_of_finiteDimensional, ContinuousLinearEquiv.conjContinuousAlgEquiv_trans, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', AffineMap.hasDerivWithinAt_lineMap, Asymptotics.IsLittleOTVS.congr_left, mfderiv_prod_eq_add_comp, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, ContinuousLinearMap.fderiv_of_bilinear, logDeriv_eqOn_iff, hasFDerivAt_of_subsingleton, cfcₙHom_integral, unitary.linearIsometryEquiv_coe_symm_apply, PiTensorProduct.tprodL_toFun, ContinuousLinearMap.isPositive_def, Seminorm.gaugeSeminorm_ball, Continuous.cfcₙ, DifferentiableWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, Polynomial.abs_tendsto_atTop_iff, ContinuousLinearEquiv.hasMFDerivWithinAt, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, fderiv_mul_const', RKHS.posSemidef_tfae, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, SchwartzMap.toBoundedContinuousFunctionCLM_apply, RCLike.conj_ofReal, extDeriv_apply_vectorField, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, curveIntegral_segment, MultilinearMap.restr_norm_le, Asymptotics.isLittleOTVS_fun_neg_left, TestFunction.postcompCLM_apply, hasDerivAt_iff_tendsto_slope_left_right, BoundedContinuousFunction.instStarModule, Bundle.Trivialization.continuousLinearEquivAt_apply', HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorphOfComplemented_target, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, Asymptotics.isBigOTVS_iff_smallSets, ContinuousAlternatingMap.norm_restrictScalars, CovariantDerivative.torsion_apply, 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, IsCovariantDerivativeOn.torsion_antisymm, IsGreatest.norm_cfc, hasStrictFDerivAt_exp, inner_re_zero_left, HasDerivAtFilter.sub, IsCoercive.range_eq_top, gauge_norm_smul, AnalyticOn.fderivWithin, LinearMap.isSymmetric_adjoint_mul_self, InnerProductSpace.Core.cauchy_schwarz_aux, ContinuousLinearMap.opNorm_mul_apply, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, ContinuousLinearEquiv.uniqueDiffOn_image, inner_self_ofReal_re, mfderiv_comp_mfderivWithin, NormedSpace.inclusionInDoubleDualWeak_apply_apply, RCLike.conjLIE_apply, Submodule.reflection_orthogonalComplement_singleton_eq_neg, deriv_fun_div, ContinuousLinearEquiv.comp_fderiv, LinearIsometryEquiv.reflections_generate_dim_aux, HasFDerivWithinAt.fun_smul, Complex.orthonormalBasisOneI_repr_apply, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, ContinuousLinearMap.isBigO_id, Valued.integer.norm_irreducible_lt_one, 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, ContMDiffFiberwiseLinear.locality_aux₂, ContinuousMultilinearMap.curryLeft_norm, HasStrictFDerivAt.of_notMem_tsupport, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, ContinuousLinearMap.compContinuousMultilinearMapL_apply, HasDerivAt.hasFDerivAt, NormedAlgebra.exists_isMinOn_norm_sub_smul, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, HasDerivAtFilter.iterate, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, RCLike.imLm_coe, ContinuousLinearMap.exists_approx_preimage_norm_le, ContinuousMultilinearMap.uncurry0_norm, ContDiffOn.continuousOn_iteratedFDerivWithin, FDerivMeasurableAux.D_subset_differentiable_set, hasMFDerivWithinAt_inr, HasFPowerSeriesWithinOnBall.prod, LinearMap.IsSymmetric.isSelfAdjoint, MDifferentiableWithinAt.clm_precomp, IsBoundedBilinearMap.differentiableOn, HasDerivAt.fun_add, SchwartzMap.fourierMultiplierCLM_sum, HasDerivAt.neg, FDerivMeasurableAux.differentiable_set_eq_D, ContinuousLinearMap.isClosed_image_coe_of_bounded_of_weak_closed, ContMDiffVectorBundle.continuousLinearMap, NormedSpace.eq_iff_forall_dual_eq, ContinuousLinearEquiv.integral_comp_comm, HasDerivAt.star, IsBoundedBilinearMap.fderivWithin, 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, Asymptotics.IsBigOTVS.fun_add, ContinuousLinearEquiv.comp_right_fderiv, hasLineDerivAt_smul_iff, Submodule.isIdempotentElem_starProjection, differentiableOn_finCons', VectorField.lieBracket_const_smul_left, RCLike.div_im, LinearEquiv.isometryOfOrthonormal_toLinearEquiv, 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, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ZLattice.comap_equiv_apply, ContinuousAlternatingMap.instIsTopologicalAddGroup, ContinuousLinearMap.analyticAt, iteratedFDeriv_succ_const, ClosedSubmodule.orthogonal_le, HasDerivAtFilter.const_smul, Asymptotics.isBigOTVS_fun_neg_left, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, Submodule.orthogonalProjection_mem_subspace_orthogonalComplement_eq_zero, Polynomial.div_tendsto_atBot_zero_of_degree_lt, ContDiffAt.iteratedFDeriv_right, HasFPowerSeriesWithinAt.fderivWithin_eq, ContDiffBump.convolution_tendsto_right, isCoveringMap_zpow, RKHS.kerFun_apply, Matrix.linfty_opNNNorm_toMatrix, HasFTaylorSeriesUpToOn.cont, inCoordinates_apply_eq₂, Asymptotics.isBigOTVS_fun_neg_right, RCLike.im_to_real, RCLike.instContinuousMapUniqueHom, extDeriv_extDeriv, AnalyticOnNhd.fderiv_of_isOpen, Module.Basis.coe_constrL, ContinuousAlternatingMap.le_opNorm, Bundle.Trivialization.comp_continuousLinearEquivAt_eq_coord_change, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, FormalMultilinearSeries.id_comp', Seminorm.rescale_to_shell_zpow, mdifferentiableOn_localFrame_coeff, LinearIndependent.eventually, Asymptotics.IsEquivalent.smul, differentiableAt_apply, NormedSpace.expSeries_hasSum_exp, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, contDiffOn_infty_iff_fderivWithin, ContinuousMultilinearMap.range_toUniformOnFun, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, hasFDerivAt_iff_isLittleO, derivWithin_fun_div, tangentMapWithin_snd, derivWithin_inv, Matrix.toEuclideanCLM_toLp, Seminorm.smul_closedBall_zero, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, DifferentiableWithinAt.hasDerivWithinAt, CPolynomialOn.iteratedFDeriv, ContinuousLinearMap.isPositive_id, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, ContinuousAt.clm_apply_of_inCoordinates, differentiableAt_pi'', RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, Real.hasFDerivAt_fourier, Polynomial.abs_tendsto_atTop, HasDerivWithinAt.mul, SchauderBasis.finrank_range_proj, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, 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, ContMDiffOn.clm_precomp, RCLike.normSq_inv, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, ContinuousMultilinearMap.restrictScalarsLinear_apply, contDiffOn_nat_iff_continuousOn_differentiableOn, LinearMap.IsPositive.add, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, measurableSet_of_differentiableAt_of_isComplete, HilbertBasis.hasSum_orthogonalProjection, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, ContinuousLinearMap.isUnit_of_forall_le_norm_inner_map, LinearMap.adjoint_inner_right, HasStrictFDerivAt.of_local_left_inverse, 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, meromorphicNFAt_finprod, DoubleCentralizer.range_toProd, Distribution.delta_eq_zero_of_notMem, IsGreatest.nnnorm_cfc, fderiv_one, fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, RCLike.mul_wInner_left, Seminorm.continuous, 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, Asymptotics.IsEquivalent.finsetProd, fun_iteratedFDerivWithin_add_apply, tsum_pow_div_one_sub_eq_tsum_sigma, Submodule.norm_sq_eq_add_norm_sq_starProjection, AffineIsometry.linear_eq_linearIsometry, RCLike.re_eq_norm_of_mul_conj, HasStrictDerivAt.clog_real, UniqueDiffOn.of_real, ContMDiffOn.coordChangeL, hasDerivAt_of_hasDerivAt_of_ne', intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, VectorField.fderiv_pullback, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, ContinuousLinearMap.exists_right_inverse_of_surjective, mfderivWithin_extChartAt_symm_inverse_apply, ContinuousLinearMapWOT.smul_apply, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, IsSelfAdjoint.hasEigenvector_of_isMaxOn, Asymptotics.isBigOTVS_iff_isBigO, ContinuousMultilinearMap.isLeast_opNorm, fderivWithin_comp_derivWithin, ContDiff.continuous_fderiv, ContinuousAlternatingMap.apply_apply, mdifferentiableAt_hom_bundle, ContinuousMultilinearMap.completeSpace, HasFPowerSeriesWithinOnBall.unshift, hasFDerivAt_id, Bornology.isVonNBounded_sub_of_nonempty, innerSL_inj, AffineIsometryEquiv.coe_ofEq_apply, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, WithSeminorms.isVonNBounded_iff_seminorm_bddAbove, MeasureTheory.condExpIndSMul_smul, fderivWithin_inv', hasDerivAt_add_const_iff, hasDerivWithinAt_pow, Submodule.closed_of_finiteDimensional, hasDerivWithinAt_iff_hasFDerivWithinAt, Orthonormal.equiv_symm, MultilinearMap.exists_bound_of_continuous, MeasureTheory.ae_ae_add_linearMap_mem_iff, differentiableAt_star_conj_iff, TensorProduct.ext_iff_inner_left_threefold, MeasureTheory.lintegral_nnnorm_condExpL2_le, LinearMap.IsSymmetric.toLinearMap_symm, RCLike.conj_eq_iff_re, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, AffineSubspace.isometryEquivMap.toAffineMap_eq, HasFPowerSeriesOnBall.compContinuousLinearMap, DoubleCentralizer.add_fst, MeromorphicOn.divisor_prod, deriv_pi, LinearMap.IsSymmetric.coe_toSelfAdjoint, ContinuousLinearEquiv.iteratedFDerivWithin_comp_right, quasispectrum.isCompact, ContinuousWithinAt.clm_comp, HasFPowerSeriesWithinAt.coeff_zero, gaugeSeminorm_ball_one, TensorProduct.inner_lid_lid, EuclideanSpace.volume_closedBall_fin_two, OrthonormalBasis.toBasis_map, ContDiffMapSupportedIn.uniformSpace_eq_iInf, NormedSpace.norm_expSeries_summable_of_mem_ball', HasLineDerivAt.of_comp, extDerivWithin_extDerivWithin_eqOn, GeneralSchauderBasis.proj_apply_basis_mem, hasFDerivAt_apply, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbedding, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, cfcₙAux_id, Bundle.Trivialization.continuousLinearEquivAt_prod, 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, UniformConvergenceCLM.continuousSMul, hasFTaylorSeriesUpToOn_pi', curveIntegral_segment_const, hasDerivWithinAt_one, mfderiv_sub, VectorBundleCore.localTriv_symm_apply, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, WeakDual.isCompact_closedBall, Bundle.Trivialization.prod_apply', 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, LinearMap.norm_mkContinuous₂_aux, PiTensorProduct.bddBelow_projectiveSemiNormAux, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, RCLike.ofNat_mul_re, ContinuousLinearMap.uniformContinuousConstSMul, OrthonormalBasis.tensorProduct_repr_tmul_apply', HasLineDerivAt.tendsto_slope_zero, Asymptotics.IsLittleOTVS.fst, HasStrictDerivAt.to_local_left_inverse, ContinuousLinearMap.norm_map_of_mem_unitary, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, 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, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, HasFDerivWithinAt.mul_const, absorbent_nhds_zero, ContMDiffAt.const_smul_section, hasFDerivWithinAt_iff_isLittleO, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, MeasureTheory.hasFDerivAt_convolution_right_with_param, ContinuousLinearEquiv.differentiableAt, InnerProductSpace.exists_of_rankOne_eq_rankOne, fderiv_pow', ContMDiffAt.mfderiv_const, AnalyticOn.domDomCongr_iteratedFDeriv, smoothSheafCommRing.isUnit_stalk_iff, ContMDiffSection.coe_smul, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, InnerProductSpace.Core.inner_im_symm, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, SchwartzMap.postcompCLM_apply, LinearIsometry.isConformalMap, LinearIsometryEquiv.reflections_generate, Asymptotics.IsLittleOTVS.neg_left, ContinuousLinearMap.ratio_le_opNorm, Submodule.map_orthogonal_equiv, mfderiv_prodMap, iteratedFDerivWithin_eq_equiv_comp, dist_center_homothety, CompactlySupportedContinuousMap.toRealLinearMap_apply, EuclideanSpace.coe_proj, DifferentiableAt.isBigOTVS_sub, Matrix.l2_opNNNorm_mulVec, hasFDerivAt_prodMk_left, cfcₙ_mem_elemental, Orthonormal.inner_left_right_finset, HasStrictFDerivAt.isLittleO, AlternatingMap.mkContinuousAlternating_norm_le, 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, HasStrictFDerivAt.map_implicitFunction_eq, RCLike.conj_I_ax, uniqueDiffWithinAt_convex_of_isRCLikeNormedField, Continuous.fderiv, Asymptotics.IsLittleOTVS.pi, 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, ContMDiffAt.clm_apply_of_inCoordinates, fderivWithin.snd, RCLike.I_eq_zero_or_im_I_eq_one, norm_fderiv_le_of_lipschitz, InnerProductSpace.toDualMap_apply, LinearMap.IsSymmetric.iSup_iInf_eq_top_of_commute, Bundle.Pretrivialization.continuousLinearMap.isLinear, LinearMap.IsSymmetric.adjoint_conj, TotallyBounded.isVonNBounded, UpperHalfPlane.hasStrictDerivAt_smul, RCLike.normSq_nonneg, NumberField.mixedEmbedding.convexBodySumFun_smul, hasFDerivWithinAt_finCons', DifferentiableAt.conj_conj, AffineIsometryEquiv.ofTop_symm_apply_coe, TangentBundle.coordChange_model_space, fun_iteratedFDeriv_add, NumberField.mixedEmbedding.logMap_real_smul, ContinuousLinearMap.adjoint_inner_left, fderivWithin_cos, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, isQuotientCoveringMap_npow, Bornology.IsVonNBounded.image_multilinear, Continuous.clm_bundle_apply, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, fun_iteratedFDeriv_sub, AlternatingMap.mkContinuous_norm_le, ContDiffMapSupportedIn.seminorm_monoLM_le, ContinuousLinearEquiv.arrowCongr_symm, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, Polynomial.derivWithin, ContinuousLinearMap.isBoundedBilinearMap, nnnorm_algebraMap, fdifferential_apply, ContinuousMultilinearMap.opNorm_nonneg, FiberwiseLinear.trans_openPartialHomeomorph_apply, ContinuousMultilinearMap.hasBasis_nhds_zero, ContinuousMultilinearMap.instIsUniformAddGroup, RCLike.le_iff_re_im, ball_normSeminorm, HasFPowerSeriesWithinOnBall.sum, InnerProductSpace.AlgebraOfCoalgebra.mul_def, LinearMap.extendTo𝕜_apply, cfcHom_integral, Filter.EventuallyEq.iteratedFDerivWithin, HasDerivAt.sub, MeromorphicAt.fun_pow, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply_ker, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, HasLineDerivWithinAt.smul, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, mdifferentiable_smul_const_section, HasStrictDerivAt.sum, FormalMultilinearSeries.apply_eq_pow_smul_coeff, fderivWithin_continuousMultilinear_apply_const, 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, ContinuousLinearMap.coe_ofSeqClosedGraph, Matrix.isSymmetric_toEuclideanLin_iff, Asymptotics.isBigOTVS_neg_right, MDifferentiableOn.coordChangeL, VectorField.lieBracketWithin_smul_left, ProbabilityTheory.map_pi_eq_stdGaussian, hasDerivAt_update, VectorField.mlieBracketWithin_const_smul_left, ContinuousLinearMap.IsPositive.isSymmetric, ContinuousAlternatingMap.ofSubsingletonLIE_apply, Asymptotics.IsLittleO.multisetProd, nnnorm_apply_le_nnnorm_cfcₙ, fderiv_fun_add, MeromorphicOn.fun_pow, FormalMultilinearSeries.compAlongComposition_bound, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm, continuousMultilinearCurryRightEquiv_symm_apply, AlternatingMap.exists_bound_of_continuous, OrthonormalBasis.equiv_apply, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, SchwartzMap.lineDeriv_eq_fourierMultiplierCLM, Seminorm.bound_of_continuous, ContinuousLinearMap.lipschitz_apply, HasStrictDerivAt.smul, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, ContinuousLinearMap.closed_complemented_range_of_isCompl_of_ker_eq_bot, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, LinearMap.IsSymmetric.restrict_invariant, hasDerivAt_tsum, DifferentiableAt.fderiv_restrictScalars, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, inTangentCoordinates_eq, extDerivWithin_apply_vectorField_of_pairwise_commute, LinearMap.isometryOfInner_toLinearMap, ContinuousLinearMap.rayleighQuotient_zero_apply, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, selfAdjoint.unitarySelfAddISMul_coe, AffineIsometryEquiv.ofEq_symm, HasDerivWithinAt.complexToReal_fderiv, ContinuousLinearMap.equivRange_symm_apply, Polynomial.abs_tendsto_atBot_iff, ContinuousLinearMap.bilinearComp_zero_right, ContinuousLinearMap.opNNNorm_le_bound, LinearMap.adjoint_comp_self_injective_iff, LinearMap.IsSymmetric.continuous, WeakDual.isBounded_closure, IsContMDiffRiemannianBundle.exists_contMDiff, ContDiffWithinAt.fderivWithin'', ContinuousMap.ideal_isMaximal_iff, BaireSpace.instBarrelledSpace, integral_conj, hasDerivAtFilter_add_const_iff, LinearIsometry.extend_apply, hasDerivAt_jacobiTheta₂_fst, ContinuousLinearMap.iteratedFDerivWithin_comp_left, InnerProductSpace.rank_rankOne, ContMDiffOn.cle_arrowCongr, LinearMap.isSymmetric_sum, HasDerivWithinAt.scomp_of_eq, Module.Basis.coe_toOrthonormalBasis_repr_symm, MDifferentiableAt.const_smul, RCLike.geometric_hahn_banach_of_nonempty_interior', LinearMap.toSeminorm_comp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, Submodule.isOrtho_top_left, ContMDiffAt.clm_bundle_apply, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, IsometricContinuousFunctionalCalculus.toNonUnital, MDifferentiableOn.clm_prodMap, contMDiffAt_coordChangeL, meromorphicNFAt_inv, HasFDerivWithinAt.fun_sub, InnerProductSpace.toDual_apply_apply, AlgHom.instContinuousLinearMapClassOfAlgHomClass, iteratedFDeriv_tsum, ContinuousLinearMap.adjointAux_apply, ContinuousLinearMap.nonneg_iff_isPositive, RCLike.real_smul_eq_coe_smul, OrthogonalFamily.isInternal_iff, fderivWithin_fun_sub, coe_lpBCFₗᵢ, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, RCLike.measurable_re, Submodule.linearEquiv_det_reflection, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, LinearMap.isSymmetric_linearIsometryEquiv_conj_iff, fderivWithin_fun_mul', 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, ContinuousLinearMap.isUniformInducing_postcomp, 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, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ContDiffWithinAt.continuousLinearMap_comp, Continuous.clm_apply, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, HasFDerivWithinAt.prodMk, ContinuousAlternatingMap.norm_ofSubsingleton, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', Submodule.toLinearMap_starProjection_eq_isComplProjection, RKHS.kerFun_dense, VectorField.mpullback_const_smul, hasStrictFDerivAt_finCons, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, HasDerivAt.smul_const, Diffeomorph.mfderivToContinuousLinearEquiv_coe, TensorProduct.nnnorm_map, Module.Basis.ofZLatticeBasis_span, HasDerivAtFilter.sub_const, LinearMap.singularValues_eq_zero_iff, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, RCLike.conj_im_ax, ContinuousLinearMap.coe_flipₗᵢ', HasMFDerivAt.prodMap, MDifferentiableAt.clm_bundle_apply₂, 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, Real.pow_mul_norm_iteratedFDeriv_fourier_le, fderivWithin_fderivWithin_eq_of_mem_nhds, inner_self_conj, ContinuousLinearMap.norm_smulRight_apply, contDiff_iff_continuous_differentiable, HasFTaylorSeriesUpTo.tsupport_mono, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, dist_birkhoffAverage_birkhoffAverage, hasDerivAt_const, dslope_sub_smul_of_ne, iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, NormedAlgebra.norm_eq_spectralNorm, meromorphicOrderAt_pow_id_sub_const, fderiv_mul', LinearIsometryEquiv.conjStarAlgEquiv_ext_iff, OrthonormalBasis.repr_apply_apply, Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, fderivWithin_const_smul_of_field, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, LinearEquiv.extendOfIsometry_symm_eq, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, Complex.hasDerivAt_Gammaℂ_one, VectorField.lieBracket_fmul_left, ContinuousLinearMap.IsIdempotentElem.isSymmetric_iff_orthogonal_range, integrable_cfcₙ, Asymptotics.IsBigOTVS.snd, HasFDerivAtFilter.sum, HasFDerivWithinAt.lim, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, ContinuousMultilinearMap.analyticAt, hasMFDerivAt_id, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, ContinuousMultilinearMap.prodL_apply, FormalMultilinearSeries.radius_inv_eq_limsup, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousOn.clm_bundle_apply₂, fderiv_comp_fderivWithin, ContinuousLinearMap.coe_flipMultilinearEquiv, Seminorm.bddAbove_iff, NonUnitalAlgHom.coe_Lmul, ContinuousMultilinearMap.norm_map_init_le, ContinuousLinearMap.iteratedFDerivWithin_comp_right, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, hasMFDerivWithinAt_id, LeftInvariantDerivation.left_invariant'', HasStrictFDerivAt.hasStrictFDerivAt_implicitFunctionOfProdDomain, SchwartzMap.compCLMOfAntilipschitz_apply, ContinuousAlternatingMap.hasStrictFDerivAt, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, NormedSpace.expSeries_summable', NormedSpace.norm_expSeries_summable_of_mem_ball, LinearIsometryEquiv.conjStarAlgEquiv_refl, CurveIntegrable.fun_zero, HasDerivAt.tendsto_slope_zero_left, InnerProductSpace.laplacian_smul, hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, DifferentiableAt.continuousAlternatingMap_apply, eventually_singleton_add_smul_subset, VectorField.mpullback_apply, LinearMap.IsSymmetric.toSelfAdjoint_apply, RCLike.conj_div, Submodule.coe_continuous_linearProjOfClosedCompl, ContinuousLinearMapWOT.instIsTopologicalAddGroup, ContDiffWithinAt.continuousWithinAt_fderivWithin, fderiv_mem_iff, iteratedFDeriv_neg_apply, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorphOfComplemented_source, RCLike.im_mul_ofReal, Submodule.coe_orthogonalDecomposition, Asymptotics.IsBigOTVS.fun_symm, VectorField.lieBracket_eq, fderiv_norm_smul_neg, meromorphicNFOn_fun_inv, SchwartzMap.toTemperedDistributionCLM_apply_apply, Seminorm.continuousAt_zero', HasDerivAtFilter.hasGradientAtFilter, hasMFDerivWithinAt_fst, ContinuousLinearMap.coe_restrict_scalarsL', HasDerivAt.complexToReal_fderiv, differentiableAt_fst, ContinuousLinearMapWOT.isInducing_inducingFn, fderivWithin_fderivWithin_eq_of_eventuallyEq, EulerProduct.eulerProduct_completely_multiplicative_tprod, DoubleCentralizer.star_fst, differentiableOn_pi'', InnerProductSpace.laplacianWithin_smul, StrongDual.polarSubmodule_eq_polar, HasDerivWithinAt.Ici_of_Ioi, Submodule.finrank_orthogonal_span_singleton, summable_prod_mul_pow, PiTensorProduct.liftEquiv_symm_apply, RCLike.summable_conj, HasFDerivWithinAt.uniqueDiffWithinAt, RCLike.geometric_hahn_banach_point_point, norm_cfcₙ_lt_iff, ContinuousLinearMap.fpowerSeries_apply_add_two, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, mfderivWithin_eventually_congr_set', meromorphicOrderAt_inv, extDerivWithin_fun_smul, LinearMap.isPositive_natCast, inner_smul_real_right, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, TensorProduct.toLinearEquiv_congrIsometry, Asymptotics.isLittleOTVS_fun_neg_right, ContMDiffOn.clm_comp, ftaylorSeries_fun_zero, SchauderBasis.proj_apply, LinearMap.injective_iff_forall_lt_finrank_singularValues_pos, HasDerivAt.add_const, meromorphicOrderAt_fun_prod, ContinuousMultilinearMap.opNorm_zero, CovariantDerivative.affine_combination_toFun, hasFDerivAt_exp_smul_const', Bundle.Trivialization.continuousLinearMapAt_symmL, iteratedFDerivWithin_one_apply, Asymptotics.IsLittleOTVS.triangle, ContDiffWithinAt.domDomCongr_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul', HasDerivAt.of_isLittleO, FormalMultilinearSeries.ofScalars_norm_le, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Submodule.isOrtho_iSup_left, Seminorm.uniformSpace_eq_of_hasBasis, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall, IsCoercive.bounded_below, UniqueDiffOn.image, IsLocalFrameOn.toBasisAt_coe, SchwartzMap.postcompCLM_postcompCLM, Commute.cfcₙHom, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, Submodule.norm_subtypeL, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, ContinuousLinearMapWOT.hasBasis_seminorms, Submodule.mem_orthogonal', ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, WithSeminorms.continuous_of_continuous_comp, HasDerivAt.sub_const, hasFDerivAt_finCons', LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, Polynomial.isBigO_atBot_of_degree_le, contDiffPointwiseHolderAt_iff, ContinuousLinearMap.IsStarNormal.orthogonal_range, WithSeminorms.topology_eq_withSeminorms, ContinuousLinearMap.aestronglyMeasurable_comp₂, DirectSum.IsInternal.collectedBasis_orthonormal, Matrix.posDef_gram_iff_linearIndependent, instPolynormableSpaceForall, SchwartzMap.smulLeftCLM_const, hasStrictFDerivAt_piLp, MDifferentiableAt.smul_section, Asymptotics.IsBigOTVS.congr_left, LinearMap.toMatrix_innerₛₗ_apply, HasFDerivAt.finCons, strictConvexSpace_iff, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, AffineSubspace.toContinuousAffineMap_subtypeₐᵢ, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, Asymptotics.IsLittleOTVS.smul_left, 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, ContinuousLinearMap.IsIdempotentElem.TFAE, TensorProduct.toLinearEquiv_commIsometry, ContinuousLinearMap.opNorm_le_of_ball, fderiv_fun_sum, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, Asymptotics.IsBigOTVS.proj, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, LinearEquiv.extendOfIsometry_symm_apply, 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, HasStrictDerivAt.scomp_of_eq, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, HasStrictDerivAt.fun_finset_prod, RCLike.re_to_real, LinearMap.range_toContinuousLinearMap, Bornology.IsVonNBounded.of_sub_right, ContinuousLinearMap.equivRange_symm_toLinearEquiv, Submodule.orthogonal_gc, fderiv_const_smul_of_invertible, Matrix.inner_toEuclideanCLM, ContinuousLinearEquiv.dimH_image, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, hasFDerivWithinAt_pow', HasFTaylorSeriesUpToOn.continuousLinearMap_comp, SchauderBasis.bddAbove_range_nnnorm_proj, hasStrictDerivAt_finCons', RCLike.neg_iff, contMDiffOn_baseSet_localFrame_coeff, hasDerivWithinAt_taylorWithinEval_at_Icc, ClosedSubmodule.orthogonal_orthogonal_monotone, 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, Submodule.reflection_mem_subspace_orthogonal_precomplement_eq_neg, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, ContinuousLinearMap.eventually_nhds_zero_mapsTo, HasFPowerSeriesWithinAt.pi, Subalgebra.spectrum_eq_of_isPreconnected_compl, NormedSpace.isVonNBounded_iff', Submodule.HasOrthogonalProjection.map_linearIsometryEquiv', RCLike.inv_im, ContinuousLinearMap.opNorm_le_bound, WeakDual.isSeqCompact_closedBall, TestFunction.lineDerivCLM_add, hasStrictDerivAt_finCons, PiTensorProduct.liftEquiv_apply, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorph_target, HasFDerivAt.cexp, extDerivFun_zero, DoubleCentralizer.add_snd, Asymptotics.IsLittleOTVS.trans_isBigOTVS, WeakDual.isBounded_iff_isVonNBounded, HasDerivWithinAt.congr_of_eventuallyEq_of_mem, has_antideriv_at_fourier_neg, hasFTaylorSeriesUpTo_top_iff', norm_iteratedFDerivWithin_prod_le, fderivWithin_iteratedFDerivWithin, ContinuousMultilinearMap.instContinuousEvalConstForall, fromTangentSpace_mfderiv_smul_apply', ContDiffWithinAt.clm_comp, rescale_to_shell, ContinuousLinearMap.rayleighQuotient_add, ContinuousMultilinearMap.contDiff, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_self, MultilinearMap.mkContinuousLinear_norm_le, 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, HasStrictDerivAt.comp_of_eq, VectorBundleCore.coe_coordChange, hasFDerivAtFilter_iff_hasDerivAtFilter, innerSLFlip_apply_apply, ContinuousLinearEquiv.mdifferentiableOn, ContinuousLinearMap.nnnorm_holder_apply_apply_le, HasFDerivAt.of_local_left_inverse, PadicAlgCl.spectralNorm_eq, Affine.Triangle.dist_orthocenter_reflection_circumcenter, ContinuousLinearMap.isClosed_range_iff_antilipschitz_of_injective, OrthogonalFamily.hasSum_linearIsometry, Polynomial.hasFDerivAt, Asymptotics.isTheta_const_smul_left, Distribution.mapCLM_apply, finrank_euclideanSpace, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, HasDerivAtFilter.star, hasDerivAt_inv, LinearMap.IsPositive.isSelfAdjoint, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, IsContinuousRiemannianBundle.exists_continuous, Bornology.isVonNBounded_iff_smul_tendsto_zero, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, VectorBundle.continuousLinearEquivAt_apply, InnerProductSpaceable.inner_.norm_sq, DoubleCentralizer.norm_snd, Submodule.top_orthogonal_eq_bot, ConvexOn.sSup_of_nat_affine_eq, ContinuousLinearMap.postcomp_apply, Orthonormal.equiv_trans, Submodule.fst_orthogonalDecomposition_apply, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, LinearEquiv.coe_toContinuousLinearEquiv', hasFDerivWithinAt_one, Bundle.Trivialization.symmL_continuousLinearMapAt, HasDerivAtFilter.scomp, ContinuousLinearMap.antilipschitz_antiLipschitzConstant_of_injective_of_isClosed_range, Submodule.orthogonal_orthogonal_eq_closure, ContinuousLinearEquiv.nhds, ContinuousAlternatingMap.le_opNorm_mul_pow_of_le, fderivWithin_id', 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, UniformFun.continuousSMul_induced_of_range_bounded, with_gaugeSeminormFamily, TensorProduct.ext_iff_inner_right, RCLike.natCast_re, HasFPowerSeriesWithinOnBall.image_sub_sub_deriv_le, fderivWithin_mul_const', ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, intervalIntegral.integral_deriv_smul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_smul, IsBilinearMap.toContinuousBilinearMap_apply, MDifferentiableWithinAt.clm_apply_of_inCoordinates, Valued.integer.norm_le_one, TestFunction.lineDerivOp_eq_lineDerivCLM, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, 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, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, Convex.exists_forall_hasDerivWithinAt, PiTensorProduct.mapL_mul, hasDerivWithinAt_taylor_coeff_within, inner_re_symm, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_left, ContinuousLinearMap.toLinearMap_innerSL_apply, WithLp.volume_preserving_toLp, Polynomial.isBigO_of_degree_le, Seminorm.iSup_apply, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, SchwartzMap.fourierMultiplierCLM_apply, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, hasFDerivAt_ofNat, instSeminormClassAlgebraNormSubtypeAlgebraicClosureMemIntermediateFieldNormalClosure, Module.Basis.equivFunL_apply, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, ClosedSubmodule.mem_symplComp_iff, dist_eq, IsBoundedBilinearMap.differentiableAt, hasFDerivAt_list_prod_finRange', ContinuousMultilinearMap.apply_apply, ContDiff.smulRight, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, LinearMap.IsSymmetric.adjoint_eq, LinearMap.isPositive_sum, ContinuousMultilinearMap.flipLinear_apply_apply, Submodule.starProjection_norm_le, Asymptotics.IsBigOTVS.trans_isLittleOTVS, HasStrictFDerivAt.neg, mfderiv_add, ContinuousAlternatingMap.norm_toContinuousMultilinearMap, HasGradientAt.hasFDerivAt, RCLike.norm_le_re_iff_eq_norm, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, RKHS.inner_kerFun, PiLp.volume_preserving_ofLp, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbeddingOfIsReal, Real.fourier_fderiv, MeromorphicOn.inv_iff, rescale_to_shell_semi_normed, ContinuousLinearMap.lipschitzWith_of_opNorm_le, FormalMultilinearSeries.comp_id, ContinuousMultilinearMap.hasStrictFDerivAt, Submodule.inner_orthogonalProjection_eq_of_mem_right, Submodule.reflection_reflection, fderivWithin_comp_smul_eq_fderivWithin_smul, Continuous.continuousLinearMapCoprod, ContinuousLinearMap.isLeast_opNNNorm, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, ContinuousMap.adjoin_id_eq_span_one_union, Submodule.isOrtho_iff_le, FormalMultilinearSeries.cpolynomialAt_changeOrigin_of_finite, MeasureTheory.condExp_smul, hasFTaylorSeriesUpTo_succ_nat_iff_right, IsCovariantDerivativeOn.leibniz, SchwartzMap.compSubConstCLM_zero, ContDiffMapSupportedIn.seminorm_top_le_iff, iteratedFDeriv_add, hasFDerivWithinAt_zero, ContinuousMultilinearMap.isUniformEmbedding_toUniformOnFun, HasFDerivWithinAt.norm_sq, RCLike.wInner_smul_right, CFC.abs_algebraMap, ordinaryHypergeometric_radius_top_of_neg_nat₂, hasFDerivWithinAt_piLp, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableOn_piLp, LinearMap.image_closure_of_convex, ClosedSubmodule.iInf_orthogonal, LinearMap.tracePositiveLinearMap_apply, Asymptotics.isLittleOTVS_iff_smallSets, hasDerivAt_fourier_neg, MDifferentiableAt.clm_comp, nhds_hasBasis_absConvex, HasDerivAt.clm_comp, EuclideanGeometry.reflection_apply_of_mem, norm_fderiv_norm_rpow_le, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, RCLike.ofReal_im, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, Matrix.isStrictlyPositive_iff_posDef, range_cfcₙHom_le, VectorBundle.continuousOn_coordChange', StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', LinearMap.isPositive_linearIsometryEquiv_conj_iff, ContinuousLinearMap.rayleighQuotient_le_of_norm_mem_resolventSet, ZSpan.coe_floor_self, HasFDerivWithinAt.smul_const, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_symm, ContinuousLinearMap.mfderiv_eq, Seminorm.sSup_empty, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, Orthonormal.linearIsometryEquiv_symm_apply_single_one, 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, NormedSpace.inclusionInDoubleDualWeak_apply, InnerProductSpace.coe_gramSchmidtBasis, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, dist_homothety_self, LinearMap.hasEigenvalue_adjoint_comp_self_sq_singularValues, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, NormedSpace.isVonNBounded_of_isBounded, HasStrictFDerivAt.add, iteratedFDeriv_eq_equiv_comp, Submodule.reflection_inv, LinearMap.toContinuousLinearMap_eq_iff_eq_toLinearMap, MDifferentiableOn.clm_bundle_apply, meromorphicTrailingCoeffAt_inv, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, IsBoundedBilinearMap.hasFDerivWithinAt, RCLike.nonneg_iff, ContinuousWithinAt.clm_apply, LinearEquiv.image_closure_of_convex, mfderivWithin_comp_of_preimage_mem_nhdsWithin, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, HasDerivWithinAt.comp_hasDerivAt_of_eq, summable_pow_div_add, HasFDerivWithinAt.finCons, ContinuousMultilinearMap.uniformContinuous_restrictScalars, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_const_smul, HasDerivAt.fun_sub, HasStrictFDerivAt.restrictScalars, ContinuousLinearMap.coe_linearMap_equivRange, ContinuousLinearMap.le_of_opNorm_le, AffineIsometry.map_vsub, PiTensorProduct.mapL_comp, Submodule.norm_starProjection, isCompactOperator_iff_image_closedBall_subset_compact, fderiv_cos, Filter.Tendsto.cfcₙ, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, FormalMultilinearSeries.isLittleO_one_of_lt_radius, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', hasDerivAt_exp_smul_const, ClosedSubmodule.sub_mem_orthogonal_of_inner_left, FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq, RCLike.continuous_re, LinearPMap.adjoint_isClosed, HasDerivAtFilter.add_const, NormedSpace.algebraMap_exp_comm, Meromorphic.fun_smul, Unitary.linearIsometryEquiv_coe_symm_apply, Asymptotics.isBigOTVS_neg_left, Balanced.closure, Submodule.eq_starProjection_of_mem_of_inner_eq_zero, ContDiff.comp_continuousLinearMap, exists_dual_vector, mfderiv_extChartAt_self, nndist_center_homothety, ContinuousMultilinearMap.tsum_eval, Orthonormal.map_equiv, hasFDerivWithinAt_comp_smul_smul_iff, banach_steinhaus, LinearMap.IsSymmetric.hasEigenvalue_eigenvalues, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_apply, ContinuousLinearMap.rayleighQuotient_le_norm, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, OrthonormalBasis.det_to_matrix_orthonormalBasis, HasStrictDerivAt.congr_deriv, ProbabilityTheory.hasDerivAt_complexMGF, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, AffineIsometryEquiv.symm_constVSub, fderiv.snd, DifferentiableWithinAt.isBigOTVS_sub, ContMDiffWithinAt.smul, LinearMap.isPositive_toContinuousLinearMap_iff, ContinuousLinearMap.norm_def, OrthogonalFamily.summable_of_lp, meromorphicNFOn_inv, LinearIsometryEquiv.analyticWithinAt, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', HasFPowerSeriesAt.apply_eq_zero, Asymptotics.IsLittleOTVS.congr', 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, ContinuousLinearMapWOT.continuous_of_dual_apply_continuous, FormalMultilinearSeries.changeOrigin_eval_of_finite, ContinuousLinearEquiv.lipschitz, iteratedDeriv_vcomp_three, VectorField.fderivWithin_apply_lieBracket_of_isSymmSndFDerivWithinAt, Submodule.isCompl_orthogonal_of_hasOrthogonalProjection, Seminorm.map_eq_zero_of_norm_eq_zero, fderivWithin_fun_pow, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, Submodule.reflection_mul_reflection, iteratedFDerivWithin_two_apply', Polynomial.isEquivalent_atTop_div, HasDerivAt.const_smul, OpenPartialHomeomorph.MDifferentiable.comp_symm_deriv, UniqueDiffWithinAt.smul_iff, HasStrictFDerivAt.arctan, curveIntegral_fun_neg, hasMFDerivAt_inl, HasStrictDerivAt.hasStrictFDerivAt, Balanced.interior, RCLike.zero_re, RCLike.inner_tmul_eq, deriv.scomp, HasStrictDerivAt.add, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAtFilter.const_smul, HasStrictFDerivAt.to_implicitFunction, InnerProductSpace.Core.inner_re_symm, inr_comp_cfcₙHom_eq_cfcₙAux, differentiableAt_finCons, InnerProductSpace.gramSchmidt_triangular, ContinuousLinearMap.opNNNorm_le_bound', ContinuousMultilinearMap.instContinuousConstSMul, NormedSpace.equicontinuous_TFAE, ContinuousLinearMap.differentiable, hasDerivAt_taylorWithinEval_succ, Submodule.starProjection_map_apply, AlternatingMap.norm_image_sub_le_of_bound, RCLike.smul_im, Bornology.IsBounded.smul₀, HasFDerivAt.multiset_prod, extDerivFun_add, LinearMap.star_eq_adjoint, dist_self_homothety, HasFTaylorSeriesUpTo.tsupport_subset, 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, Bundle.Pretrivialization.continuousLinearMap_symm_apply, Filter.EventuallyEq.extDerivWithin', differentiableWithinAt_euclidean, ContinuousLinearMap.continuousWithinAt_uncurry_of_multilinear, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot', unitary.spectrum_subset_circle, ContinuousLinearMap.opNorm_add_le, HasSum.exists_hasSum_smul_of_apply_eq_zero, 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, HasDerivAtFilter.scomp_of_eq, ContinuousLinearMap.coe_restrictScalarsIsometry, nnnorm_cfc_le_iff, TensorProduct.enorm_tmul, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, Polynomial.aeval_conj, HasDerivAt.scomp_hasDerivWithinAt_of_eq, SchauderBasis.exists_norm_proj_le, ContinuousLinearMap.norm_inr, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, Submodule.starProjection_bot, VectorField.mlieBracketWithin_smul_left, RCLike.re_eq_add_conj, ContinuousLinearMap.isometry_iff_adjoint_comp_self, VectorBundle.continuousLinearEquivAt_symm_apply, 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', InnerProductSpace.gramSchmidtOrthonormalBasis_apply_of_orthogonal, HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, PointwiseConvergenceCLM.coeLMₛₗ_apply, ContinuousLinearMap.postcompCompactConvergenceCLM_apply, spectrum.isClosed, TemperedDistribution.fourierMultiplierCLM_toTemperedDistributionCLM_eq, HasStrictFDerivAt.iterate, ContinuousLinearMap.opNNNorm_le_of_unit_nnnorm, HasDerivAt.comp_const_sub, HasDerivAt.norm_sq, WeakBilin.locallyConvexSpace, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, HasDerivWithinAt.add, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, IsSelfAdjoint.conj_adjoint, TensorProduct.inner_assoc_assoc, ContinuousMultilinearMap.curryMidEquiv_apply, complexOfReal_deriv, 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, EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eq, HasStrictFDerivAt.continuousMultilinear_apply_const, Asymptotics.IsLittleOTVS.sup, ContDiffMapSupportedIn.monoLM_eq_zero, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, Polynomial.exists_roots_norm_sub_lt_of_norm_coeff_sub_lt, ContinuousLinearMap.reApplyInnerSelf_apply, hasFDerivAt_pi'', ZSpan.fundamentalDomain_reindex, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', ContinuousMultilinearMap.instCompleteSpace, fderiv_exp, Affine.Simplex.direction_mongePlane, DoubleCentralizer.algebraMap_snd, WeakDual.polar_def, UnconditionalSchauderBasis.norm_proj_le_nnnormProjBound, ContinuousLinearMap.differentiableAt, ContinuousOn.continuousOn_iteratedFDerivWithin, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, fderiv_arctan, fderivWithin_const, LinearMap.IsIdempotentElem.isSymmetric_iff_isOrtho_range_ker, RCLike.wInner_cWeight_const_left, LinearMap.IsSymmetric.coe_reApplyInnerSelf_apply, MeasureTheory.integrable_smul_const, SchauderBasis.RankOneDecomposition.basisCoeff_spec, hasFiniteFPowerSeriesOnBall_const, LinearMap.le_def, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, contDiffAt_inv, iteratedFDerivWithin_succ_apply_left, HasFDerivAtFilter.fun_const_smul, iteratedFDerivWithin_add_apply, inner_self_eq_norm_mul_norm, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, CovariantDerivative.zero, Polynomial.div_tendsto_atBot_of_degree_gt, fderiv_tsum, SchwartzMap.fourier_evalCLM_eq, LinearIsometryEquiv.comp_differentiableWithinAt_iff, LinearMap.adjoint_toSpanSingleton, Matrix.IsHermitian.sort_roots_charpoly_eq_eigenvalues₀, DoubleCentralizer.one_snd, OrthonormalBasis.coe_toBasis, DifferentiableOn.continuousMultilinear_apply_const, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Asymptotics.IsBigOTVS.prodMk, ContinuousMultilinearMap.norm_mkPiAlgebra, WeakDual.withSeminorms, contDiffOn_infty_iff_fderiv_of_isOpen, hasDerivWithinAt_natCast, Asymptotics.superpolynomialDecay_iff_isLittleO, ContinuousLinearEquiv.comp_right_fderivWithin, EulerProduct.eulerProduct_completely_multiplicative_hasProd, fderivWithin_comp_of_eq, 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, derivWithin_pow_field, Submodule.reflection_sub, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_radius_nonneg_and_vsub_mem_and_norm_sq, iteratedDeriv_comp_neg, fderiv_natCast, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, LinearEquiv.extendOfIsometry_apply, RCLike.inner_apply, SchwartzMap.evalCLM_apply_apply, iteratedFDerivWithin_zero, LinearMap.IsSymmetric.natCast, HasFDerivAtFilter.fun_sub, upperHemicontinuous_quasispectrum, spectrum.isBounded, OpenPartialHomeomorph.MDifferentiable.mfderiv_bijective, ClosedSubmodule.mem_orthogonal, ContinuousMultilinearMap.norm_restrictScalars, fderiv_const, analyticOn_taylorComp, LinearEquiv.coe_isometryOfInner, DiffContOnCl.smul_const, ContMDiffWithinAt.clm_bundle_apply₂, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Polynomial.differentiableAt_aeval, ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply, WeakDual.CharacterSpace.compContinuousMap_apply, Subalgebra.frontier_subset_frontier, fderivWithin_snd, HasDerivAt.fun_div, ContinuousOn.prod_mapL, iteratedFDerivWithin_prodMk, LinearMap.re_inner_adjoint_mul_self_nonneg, PointwiseConvergenceCLM.coeLM_apply, differentiable_pi, HasFTaylorSeriesUpToOn.fderivWithin, ContinuousLinearEquiv.hasFDerivWithinAt, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, ContinuousMultilinearMap.isLeast_opNNNorm, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, RKHS.coeCLM_injective, DoubleCentralizer.algebraMap_toProd, MeasureTheory.Integrable.re_im_iff, continuousMultilinearCurryFin0_symm_apply_apply, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, HasDerivWithinAt.fun_const_smul, RCLike.normSq_mul, LinearMap.isPositive_self_comp_adjoint, ContinuousLinearMap.ker_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, RCLike.wInner_smul_left, Polynomial.hasFDerivAt_aeval, continuous_cfcHomSuperset_left, contMDiffAt_hom_bundle, intervalIntegral.integral_smul_deriv_eq_deriv_smul_of_hasDeriv_right, Seminorm.convex_ball, ContinuousAt.continuousLinearMapCoprod, VectorField.mlieBracketWithin_smul_right, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, LinearIsometryEquiv.toLinearEquiv_lTensor, DoubleCentralizer.instIsCentralScalar, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, continuousAt_inv, HasDerivWithinAt.const_mul, Matrix.linearIndependent_of_posDef_gram, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', ContinuousLinearMapWOT.instContinuousSMul, HasFDerivAt.continuousAlternatingMap_apply_const, LinearIsometry.adjoint_comp_self', PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, Continuous.cfc_of_mem_nhdsSet, LinearIsometryEquiv.toLinearEquiv_smul, MeasureTheory.MemLp.continuousLinearMap_comp, norm_fderiv_iteratedFDeriv, Module.Dual.extendRCLikeₗ_apply, curveIntegralFun_neg, TestFunction.lineDerivCLM_eq_fderivCLM, binomialSeries_radius_eq_top_of_nat, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, 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, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.integrable_comp, ContinuousLinearMap.adjointAux_adjointAux, Measurable.im, HasStrictFDerivAt.const_sub, mdifferentiableOn_baseSet_localFrame_coeff, Submodule.coe_inner, GeneralSchauderBasis.proj_empty, fderiv_sub, HasStrictDerivAt.const_add, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ZSpan.span_top, RCLike.norm_im_le_norm, ContDiffOn.clm_comp, hasFDerivAt_single, ContMDiffAt.clm_precomp, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, MeasureTheory.condExpL2_indicator_of_measurable, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded, iteratedDeriv_vcomp_eq_sum_orderedFinpartition, LinearMap.eq_adjoint_iff, SchauderBasis.RankOneDecomposition.finrank_range, ContinuousLinearMapWOT.instContinuousAdd, NumberField.mixedEmbedding.norm_smul, VectorField.mpullbackWithin_smul_apply, ContDiffOn.continuousOn_fderivWithin_apply, Orthonormal.equiv_toLinearEquiv, iter_deriv_pow', cfc_integral, HasFDerivWithinAt.iterate, Asymptotics.IsBigOTVS.symm, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, HasMFDerivWithinAt.sum, Orthonormal.inner_right_finsupp, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, 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, inner_product_apply_eigenvector, ContinuousLinearMap.coprodEquivL_apply_apply, HasFTaylorSeriesUpToOn.hasFDerivAt, mfderiv_prod_right, LinearIsometry.norm_toContinuousLinearMap_comp, hasStrictFDerivAt_inv, AlternatingMap.norm_image_sub_le_of_bound', ContinuousLinearMap.isBigOWith_comp, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, MDifferentiable.clm_prodMap, continuous_clm_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_det, ContinuousMultilinearMap.hasSum_eval, Seminorm.uniformContinuous, Subalgebra.spectrum_isBounded_connectedComponentIn, AffineSubspace.isometryEquivMap.coe_apply, ContinuousAlternatingMap.hasBasis_nhds_zero, LinearIsometry.coe_toSpanSingleton, Bornology.isBounded_iff_isVonNBounded, LinearMap.isPositive_iff_complex, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, 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, MeasureTheory.euclideanHausdorffMeasure_homothety_image, 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, Seminorm.coe_sSup_eq', ContinuousMultilinearMap.uncurryRight_apply, HasDerivAt.comp_const_add, Measurable.re, eventually_norm_symmL_trivializationAt_self_comp_lt, RCLike.ofReal_pow, ContinuousLinearMap.isVonNBounded_iff, SchwartzMap.fourierMultiplierCLM_ofReal, InnerProductSpace.Core.inner_smul_ofReal_left, mfderivWithin_zero_of_not_mdifferentiableWithinAt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, fderiv_inv, differentiableWithinAt_iff_restrictScalars, DifferentiableOn.continuousAlternatingMap_apply, Differentiable.prodMk, ContDiffWithinAt.comp_continuousLinearMap, Complex.orthonormalBasisOneI_repr_symm_apply, meromorphicNFAt_fun_prod, MeasureTheory.euclideanHausdorffMeasure_homothety_preimage, ModelWithCorners.hasMFDerivWithinAt, derivWithin_comp_mul_left, Manifold.riemannianEDist_def, HasFDerivAtFilter.prodMk, hasDerivAt_circleMap, Asymptotics.IsTheta.multisetProd, ContinuousLinearMap.orthogonalComplement_iSup_eigenspaces_eq_bot, LinearIsometry.norm_iteratedFDerivWithin_comp_left, HasFDerivAtFilter.isLittleO, curveIntegralFun_fun_zero, contMDiffAt_localFrame_coeff, RCLike.ofReal_alg, ContinuousLinearMap.bilinearComp_zero, HasFDerivAt.fun_pow', HasDerivWithinAt.scomp_hasDerivAt_of_eq, dslope_of_ne, ZSpan.map, ContinuousLinearMap.isVonNBounded_image2_apply, DifferentiableAt.prodMk, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, HasMFDerivWithinAt.mul', ContinuousLinearEquiv.norm_symm_pos, Submodule.sInf_orthogonal, LinearMap.IsSymmetric.directSum_isInternal_of_commute, ContinuousAlternatingMap.uniformContinuous_coe_fun, fderivWithin_comp', ContinuousMultilinearMap.cpolynomialAt, MultilinearMap.mkContinuousLinear_norm_le', ContinuousLinearMap.NonlinearRightInverse.right_inv, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, curveIntegralFun_def', PointedContMDiffMap.instIsScalarTowerSomeENatTop, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, Submodule.isOrtho_span, contDiffOn_fderiv_coord_change, ContinuousLinearEquiv.continuousMultilinearMapCongrRight_symm, Bundle.Trivialization.coordChangeL_prod, ZSpan.exist_unique_vadd_mem_fundamentalDomain, ContinuousMultilinearMap.ratio_le_opNorm, LinearMap.continuous_of_locally_bounded, HasFDerivAtFilter.fun_add, HasDerivWithinAt.neg, ContinuousLinearEquiv.subsingleton_or_nnnorm_symm_pos, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, extDeriv_add, MeasureTheory.hausdorffMeasure_homothety_image, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, MeasureTheory.AEStronglyMeasurable.re, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, spectralNorm_smul, HasStrictDerivAt.smul_const, hasDerivAt_iff_hasFDerivAt, MultilinearMap.continuous_of_bound, HasStrictDerivAt.sub, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, Polynomial.eventually_atTop_not_isRoot, HasFiniteFPowerSeriesOnBall.neg, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, ContMDiffOn.clm_apply, HasDerivWithinAt.Ioo_of_Ioi, RCLike.I_im, HasFDerivAtFilter.comp, SchauderBasis.finrank_range_succSub_eq_one, LinearMap.weakBilin_withSeminorms, norm_derivWithin_eq_norm_fderivWithin, Asymptotics.IsEquivalent.pow, lineDifferentiableWithinAt_smul_iff, ApproximatesLinearOn.antilipschitz, iteratedFDeriv_zero_apply, ContinuousLinearMap.le_def, WeakDual.isClosed_closedBall, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, contDiff_succ_iff_fderiv_apply, hasDerivAt_fourier, coe_lpPiLpₗᵢ, Submodule.complete_of_finiteDimensional, Asymptotics.IsBigOTVS.congr_right, VectorBundleCore.localTriv_apply, LinearIsometry.inr_apply, fderiv_ccos, LinearMap.isPositive_zero, DoubleCentralizer.zero_fst, fderiv_update, RKHS.coeCLM_apply, ContinuousLinearMap.IsPositive.re_inner_nonneg_left, StrongDual.extendRCLikeₗᵢ_symm_apply, Asymptotics.IsThetaTVS.isBigOTVS, extDerivWithin_apply_vectorField, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, ContinuousLinearMap.hasFDerivWithinAt, fdifferential_comp, LinearIsometry.orthonormal_comp_iff, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv, hom_trivializationAt, ContinuousLinearMap.IsStarProjection.ext_iff, Diffeomorph.uniqueDiffOn_image, FormalMultilinearSeries.le_comp_radius_of_summable, 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, LinearMap.clmOfExistsBoundedImage_apply, ContinuousLinearMap.norm_uncurryMid, IsLocalFrameOn.linearIndependent, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', ContDiff.clm_comp, ContDiff.fderiv_apply, EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, ContinuousLinearMap.opNorm_mul_le, ContinuousLinearMap.uncurryLeft_norm, hasFDerivAtFilter_fst, Submodule.isClosed_orthogonal, ContDiffWithinAt.fderivWithin', ContinuousLinearMap.opNorm_subsingleton, hasStrictDerivAt_abs_neg, HasFDerivAt.comp_hasDerivWithinAt, ContinuousLinearMap.holder_smul_right, NormedSpace.exp_hasFPowerSeriesAt_zero, Filter.EventuallyEq.fderiv, HasFDerivWithinAt.multilinear_comp, HasFPowerSeriesOnBall.tendstoUniformlyOn', Matrix.IsHermitian.eigenvectorUnitary_apply, HasFPowerSeriesWithinOnBall.const_smul, ContinuousOn.cfc_of_mem_nhdsSet, fderiv_apply_one_eq_deriv, ContinuousAlternatingMap.nnnorm_ofSubsingleton_id, MDifferentiableAt.clm_apply_of_inCoordinates, Asymptotics.IsLittleOTVS.comp_tendsto, HasFTaylorSeriesUpToOn.compContinuousLinearMap, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, hasFDerivAt_zero_of_eventually_const, OpenPartialHomeomorph.MDifferentiable.range_mfderiv_eq_top, IsUltrametricDist.algNormOfAlgEquiv_apply, ContinuousAlternatingMap.continuous_restrictScalars, SchwartzMap.fourierMultiplierCLM_const, ContDiffOn.continuousOn_fderivWithin, HasFPowerSeriesOnBall.sub, Submodule.norm_orthogonalProjection_apply, contDiffAt_succ_iff_hasFDerivAt, fderivWithin_const_smul_of_invertible, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, TestFunction.monoCLM_eq_of_scalars, hasFDerivAt_const, HasFDerivAt.inner, LinearMap.adjoint_lTensor, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, RCLike.conj_eq_iff_real, Asymptotics.IsLittleOTVS.congr, LinearMap.singularValues_pos_iff_lt_finrank_range, MeasureTheory.Integrable.convolution_integrand, HasFDerivAtFilter.star, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, 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, ContMDiffWithinAt.clm_bundle_apply, Submodule.eq_starProjection_of_mem_orthogonal, Polynomial.tendsto_atBot_of_leadingCoeff_nonpos, Differentiable.clm_apply, deriv_inv'', ContinuousLinearMap.mdifferentiableWithinAt, SeparatingDual.completeSpace_continuousLinearMap_iff, convex_halfSpace_re_ge, Matrix.IsHermitian.det_eq_prod_eigenvalues, ContMDiff.clm_bundle_apply, OrthogonalFamily.inner_sum, LinearMap.IsPositive.smul_of_nonneg, NormedSpace.vonNBornology_eq, cfcₙAux_injective, HasStrictFDerivAt.fun_sub, ClosedSubmodule.mem_orthogonal_toSubmodule_iff, IsBoundedLinearMap.hasFDerivAtFilter, HasFDerivAt.lim, hasDerivWithinAt_const, LinearMap.IsIdempotentElem.isSymmetric_iff_orthogonal_range, FormalMultilinearSeries.compAlongComposition_norm, Polynomial.tendsto_nhds_iff, ContinuousLinearMap.isometry_mul, Matrix.IsHermitian.spectrum_eq_image_range, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', ContinuousLinearMap.antilipschitz_of_injective_of_isClosed_range, 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, DifferentiableWithinAt.restrictScalars_fderivWithin, HasStrictFDerivAt.isEquivalent_sub, HasStrictFDerivAt.continuousAlternatingMap_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, StrongDual.extendRCLikeₗ_symm_apply, Pi.orthonormalBasis.toBasis, HasDerivAtFilter.congr_of_eventuallyEq, LinearIsometry.map_starProjection, 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, fderivWithin_multiset_prod, ContinuousLinearMap.isInducing_postcomp, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, VectorField.lieBracket_const_smul_right, Asymptotics.isBigOTVS_pi, LinearMap.singularValues_fin, Asymptotics.IsBigO.hasFDerivWithinAt, dist_homothety_center, LinearMap.continuous_of_nonzero_on_open, Submodule.inf_orthogonal, LinearMap.sq_singularValues_of_lt, Continuous.prod_map_equivL, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_zero, CovariantDerivative.torsion_eq_zero_iff, DifferentiableWithinAt.clm_comp, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, MDifferentiableOn.cle_arrowCongr, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, LinearIsometryEquiv.strictConvex_image, fderiv_add, SchauderBasis.proj_comp, ContinuousMultilinearMap.isEmbedding_toUniformOnFun, MultilinearMap.mkContinuousMultilinear_norm_le', SchwartzMap.le_seminorm, IsLocalDiffeomorph.mfderivToContinuousLinearEquiv_coe, DoubleCentralizer.nnnorm_fst_eq_snd, toWeakSpace_closedConvexHull_eq, cfcₙ_mem, Unitization.norm_def, ContMDiff.clm_bundle_apply₂, 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, HasStrictDerivAt.const_smul, ContinuousLinearMap.measurable_apply, selfAdjoint.star_coe_unitarySelfAddISMul, HasDerivAt.fun_sum, fderivWithin_neg, hasFDerivAtFilter_iff_isLittleOTVS, IsBoundedBilinearMap.fderiv, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, RCLike.hasSum_re, ContinuousMultilinearMap.norm_ofSubsingleton_id_le, second_derivative_symmetric, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, TensorProduct.inner_comm_comm, HasFDerivAtFilter.fst, 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, Bundle.Trivialization.baseSet_continuousLinearMap, IsCompactOperator.image_subset_compact_of_bounded, 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, HasFDerivAt.comp_hasDerivWithinAt_of_eq, 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, fderivWithin_comp₃, hasStrictFDerivAt_pow', Polynomial.hasStrictDerivAt_aeval, AnalyticOn.iteratedFDeriv_comp_perm, ContinuousLinearMap.norm_single, VectorPrebundle.exists_coordChange, Asymptotics.superpolynomialDecay_iff_isBigO, HasFDerivWithinAt.snd, DoubleCentralizer.one_fst, ContinuousLinearMap.norm_extendTo𝕜', MDifferentiableOn.clm_apply, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, StrongDual.polar_univ, UniformConvergenceCLM.isUniformEmbedding_postcomp, Asymptotics.IsLittleOTVS.fun_symm, HasDerivAtFilter.const_add, NormedAlgebra.instRegularNormedAlgebra, fderivWithin_eventually_congr_set, HasDerivWithinAt.of_notMem_tsupport, convex_halfSpace_re_lt, LinearIsometry.coe_toAffineIsometry, linearIndependent_of_ne_zero_of_inner_eq_zero, MDifferentiableAt.clm_precomp, ContDiffMapSupportedIn.postcompCLM_apply, DirectSum.IsInternal.subordinateOrthonormalBasis_def, SchwartzMap.compSubConstCLM_comp, HasDerivWithinAt.mono_of_mem_nhdsWithin, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, IsContDiffImplicitAt.bijective, Submodule.eq_starProjection_of_mem_orthogonal', ContinuousAlternatingMap.completeSpace, dslope_eventuallyEq_slope_of_ne, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ContinuousAlternatingMap.restrictScalarsLI_apply, fderivWithin_fun_const, 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, LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, LinearMap.finrank_range_adjoint, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, HasFPowerSeriesOnBall.tendsto_partialSum, ModelWithCorners.uniqueDiffOn_extendCoordChange_source, maximal_orthonormal_iff_orthogonalComplement_eq_bot, iteratedFDeriv_fun_sum_apply, HasDerivWithinAt.Ioi_of_Ioo, hasMFDerivWithinAt_const, iteratedFDeriv_one_apply, ContinuousLinearEquiv.iteratedFDeriv_comp_left, MultilinearMap.norm_image_sub_le_of_bound, HasDerivWithinAt.fun_mul, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, AbsConvex.closure, Filter.Tendsto.zero_smul_isBoundedUnder_le, Submodule.reflection_orthogonal, fderivWithin_comp_of_eq', hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, HasFPowerSeriesOnBall.factorial_smul, HasFDerivAt.const_smul, HasFDerivAt.hasLineDerivAt, LinearEquiv.isometryOfInner_toLinearEquiv, derivWithin_pi, ContinuousAlternatingMap.norm_image_sub_le', NumberField.InfinitePlace.Completion.extensionEmbedding_coe, HasFPowerSeriesWithinAt.prod, LinearMap.sq_singularValues_fin, HasDerivWithinAt.pow', ContMDiffMap.coe_smul, ContinuousLinearMap.adjoint_comp_self_injective_iff, iteratedFDeriv_succ_apply_right, Submodule.isOrtho_top_right, FormalMultilinearSeries.leftInv_coeff_one, LinearMap.IsSymmetric.smul, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, MeromorphicAt.prod, ContinuousLinearMap.hasMFDerivAt, TensorProduct.assocIsometry_apply, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, Asymptotics.IsThetaTVS.symm, Bundle.Trivialization.continuousLinearEquivAt_apply, fderiv_deriv, LinearMap.range_adjoint_comp_self, Matrix.IsHermitian.spectral_theorem, ContDiffAt.hasStrictFDerivAt_implicitFunction, WithLp.unitizationAlgEquiv_symm_apply_ofLp, integrableOn_cfcₙ, 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, Polynomial.div_tendsto_atTop_of_degree_gt, RCLike.continuous_conj, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv_symm, HasFDerivAtFilter.add, ContinuousLinearEquiv.contDiffWithinAt_comp_iff, PointwiseConvergenceCLM.precomp_apply, 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', HasFDerivWithinAt.comp, OrderedFinpartition.compAlongOrderedFinpartitionL_apply, DirectSum.IsInternal.collectedOrthonormalBasis_mem, 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, StrictConvex.linearIsometry_preimage, OrthonormalBasis.measurePreserving_repr_symm, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, Seminorm.cont_withSeminorms_normedSpace, WeakDual.isClosed_polar, Bornology.IsVonNBounded.extend_scalars, hasStrictFDerivAt_finCons', spec_cfcₙAux, Asymptotics.IsBigOTVS.congr, norm_fderiv_norm, iteratedDerivWithin_pow, ClosedSubmodule.orthogonal_eq_top_iff, fderiv_comp, eventually_enorm_mfderiv_extChartAt_lt, StrongDual.extendRCLikeₗᵢ_apply, QuadraticMap.lineDifferentiableAt, EuclideanSpace.piLpCongrLeft_single, HasDerivAt.ofReal_comp, Submodule.sup_orthogonal_inf_of_hasOrthogonalProjection, FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, hasFDerivAt_exp_smul_const, LinearIsometryEquiv.norm_iteratedFDeriv_comp_right, HasFPowerSeriesOnBall.eventually_hasSum, LinearMap.IsPositive.trace_nonneg, ContinuousLinearMap.hasStrictFDerivAt, LinearMap.mkContinuous₂_norm_le, VectorBundle.finrank_eq, PreInnerProductSpace.Core.re_inner_nonneg, FormalMultilinearSeries.zero_radius, oneTangentSpaceIcc_def, smul_unitBall, HasDerivAt.hasFDerivAt_equiv, IsSymmSndFDerivAt.iteratedFDeriv_cons, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, RCLike.normSq_eq_def', Bundle.Trivialization.apply_eq_prod_continuousLinearEquivAt, ContinuousLinearMap.comp_analyticOn, Polynomial.isBoundedUnder_abs_atBot_iff, ContinuousMultilinearMap.instT3Space, analyticOrderAt_pow, hasStrictDerivAt_const, ContinuousLinearMap.continuousConstSMul, integrable_cfcₙ', fderiv_finset_prod, ModelWithCorners.hasMFDerivWithinAt_symm, intervalIntegral.integral_smul_deriv_eq_deriv_smul, ContinuousLinearMap.self_comp_adjoint_injective_iff, Bundle.Trivialization.continuousLinearMapAt_apply, Bundle.Trivial.trivialization.isLinear, ContinuousLinearMap.coeFn_compLpL, hasStrictFDerivAt_list_prod_attach', HasFDerivAt.snd, deriv_single, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, hasFDerivWithinAt_euclidean, Bundle.Trivialization.continuousLinearEquivAt_symm_apply, 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, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_blockTriangular, ContDiffMapSupportedIn.norm_apply_le_seminorm, contDiffOn_clm_apply, ContinuousLinearMap.le_opNNNorm, RCLike.re_mul_ofReal, nnnorm_cfc_le, Bundle.Trivialization.symmL_apply, fderiv_continuousAlternatingMap_apply_apply, LinearMap.IsSymmetricProjection.hasOrthogonalProjection_range, FormalMultilinearSeries.id_apply_zero, SchwartzMap.hasDerivAt, HasDerivWithinAt.fun_sub, Submodule.starProjection_orthogonal, Seminorm.inf_apply, PiTensorProduct.mapLMultilinear_apply_apply, ContinuousLinearMap.instNonnegSpectrumClassRealId, iteratedDeriv_comp_two, ContinuousLinearMap.IsIdempotentElem.isPositive_iff_isSelfAdjoint, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, ContinuousLinearMap.uncurryMid_apply, ContinuousMap.setOfIdeal_eq_compl_singleton, ContinuousLinearMap.evalL_apply, hasFDerivAt_update, spectralNorm_extends, isBoundedBilinearMap_apply, PiTensorProduct.projectiveSeminorm_zero, AEMeasurable.apply_continuousLinearMap, HasFPowerSeriesWithinOnBall.coeff_zero, FormalMultilinearSeries.analyticOnNhd, meromorphicNFOn_prod, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, ContinuousLinearMap.integral_comp_commSL, ContinuousLinearMap.IsInvertible.contDiffAt_map_inverse, Matrix.IsHermitian.eigenvectorUnitary_coe, HasStrictDerivAt.comp, hasStrictFDerivAt_ringInverse, Continuous.const_clm_comp, ContDiffOn.continuousOn_fderiv_of_isOpen, ContinuousLinearMap.mul_apply', fromTangentSpace_mfderiv_smul, ContDiffOn.continuousLinearMap_comp, HasFDerivAt.fun_sum, stereographic_target, integrable_cfc', 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, StarAlgEquiv.eq_linearIsometryEquivConjStarAlgEquiv, ContinuousAlternatingMap.le_of_opNorm_le, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasDerivAt.tendsto_slope, RCLike.im_tsum, InnerProductSpace.rankOne_comp_rankOne, ContinuousLinearMap.opNorm_zero, MeasureTheory.convolution_lsmul_swap, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, HasFTaylorSeriesUpToOn.prodMk, Matrix.PosSemidef.det_nonneg, SchauderBasis.proj_apply_basis_mem, ContinuousMultilinearMap.norm_iteratedFDeriv_le, ContDiffAt.domDomCongr_iteratedFDeriv, HasDerivAtFilter.comp_of_eq, AnalyticAt.hasFPowerSeriesAt, ZLattice.volume_image_eq_volume_div_covolume, hasDerivAtFilter_finCons', Asymptotics.IsBigOTVS.eventually_smallSets, mfderivWithin_prodMap, LinearIsometry.toLinearMap_rTensor, PiLp.hasStrictFDerivAt_apply, hasStrictFDerivAt_fst, NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsReal_apply, nnnorm_apply_le_nnnorm_cfc, TestFunction.fderivCLM_eq_of_scalars, 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, VectorField.mpullbackWithin_const_smul_apply, re_inner_self_pos, Continuous.cfc, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, mfderiv_sumInr, ContinuousMultilinearMap.norm_iteratedFDeriv_le', support_iteratedFDeriv_subset, hasStrictFDerivAt_finset_prod, DifferentiableAt.continuousMultilinear_apply_const, TestFunction.lineDerivCLM_eq_of_scalars, convex_RCLike_iff_convex_real, instContMDiffInv₀ModelWithCornersSelf, spectralAlgNorm_extends, Submodule.le_orthogonal_iff_le_orthogonal, fderiv_fun_neg, Valued.integer.norm_unit, curveIntegral_zero, SchauderBasis.nnnorm_proj_le_nnnormProjBound, InnerProductSpace.laplacian_eq_iteratedFDeriv_stdOrthonormalBasis, Submodule.IsOrtho.comap_iff, InnerProductSpace.rankOne_comp, HasDerivWithinAt.comp_hasFDerivAt, 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, LinearMap.IsSymmetric.iSup_iSup_eigenspace_inf_eigenspace_eq_top_of_commute, Asymptotics.isLittleOTVS_comm, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, HasDerivWithinAt.scomp, ContinuousLinearMap.hasBasis_nhds_zero_of_basis, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, Asymptotics.IsLittleOTVS.snd, hasFPowerSeriesWithinAt_pi_iff, isCompactOperator_iff_isCompact_closure_image_closedBall, NumberField.InfinitePlace.Completion.bijective_extensionEmbeddingOfIsReal, 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, Real.fourierIntegral_fderiv, HasMFDerivAt.sub, InnerProductSpace.toMatrix_rankOne, MDifferentiableWithinAt.clm_comp, HasFDerivWithinAt.continuousMultilinear_apply_const, Bornology.IsVonNBounded.vadd, IsCovariantDerivativeOn.add, eventually_norm_symmL_trivializationAt_lt, ContinuousMultilinearMap.le_opNorm_mul_pow_card_of_le, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, LinearMap.polar_AbsConvex, differentiableAt_euclidean, FormalMultilinearSeries.changeOriginSeries_summable_aux₁, hasFDerivAtFilter_finCons, Absorbent.submodule_eq_top, PiTensorProduct.liftIsometry_comp_mapL, iteratedFDeriv_smul_const_apply, MDifferentiableOn.clm_comp, HasStrictDerivAt.fun_const_smul, Seminorm.continuous_from_bounded, OrthonormalBasis.reindex_toBasis, HasDerivWithinAt.congr_deriv, ContinuousLinearMap.opNorm_le_iff, RCLike.geometric_hahn_banach_open, Seminorm.continuous_iSup, RCLike.conj_wInner_symm, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, Commute.cfcHom, fun_iteratedFDerivWithin_sub_apply, MultilinearMap.bound_of_shell_of_continuous, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, tsupport_fderiv_subset, PolynormableSpace.banach_steinhaus, HasFPowerSeriesAt.deriv, SchauderBasis.RankOneDecomposition.proj_zero, fderiv_id', IsBoundedBilinearMap.hasStrictFDerivAt, LinearIsometryEquiv.symm_rTensor, LinearMap.isSymmetricProjection_iff, IsIntegralCurveAt.hasDerivAt, 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, Seminorm.coe_sSup_eq, HasCompactSupport.iteratedFDeriv, TensorProduct.commIsometry_symm, isStarProjection_starProjection, precomp_compactConvergenceCLM_apply, ContMDiffAt.clm_prodMap, 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, iteratedDerivWithin_comp_const_smul, ContinuousLinearMap.integral_comp_L1_comm, curveIntegralFun_add, range_cfcₙ_subset, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Matrix.isSymmetric_toLin_iff, ContinuousLinearMap.opNorm_zero_iff, LinearEquiv.isSymmetric_symm_iff, InnerProductSpace.gramSchmidt_def'', Real.hasDerivAt_fourierChar, ContinuousLinearMap.intervalIntegral_apply, OrthonormalBasis.equiv_symm, HasFDerivAtFilter.snd, AnalyticOnNhd.fderiv, Filter.EventuallyEq.extDeriv, HasFDerivWithinAt.comp_hasDerivWithinAt, HasFDerivWithinAt.isEquivalent_sub, hasDerivAt_intCast, HasFDerivWithinAt.sub, Seminorm.absorbent_ball_zero, LindemannWeierstrass.integral_exp_mul_eval, HasDerivWithinAt.inv, HasFDerivAtFilter.fun_neg, LinearEquiv.coe_toContinuousLinearEquiv, PiTensorProduct.liftIsometry_symm_apply, nnnorm_cfcₙHom, fderivWithin_continuousAlternatingMap_apply_apply, 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, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, mfderiv_zero_of_not_mdifferentiableAt, FormalMultilinearSeries.leftInv_comp, Asymptotics.IsTheta.pow, spectrum.differentiableOn_inverse_one_sub_smul, HasFPowerSeriesAt.const_smul, iteratedFDeriv_succ_eq_comp_right, ContinuousOn.cfcₙ, 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, ContinuousAffineMap.snd_decompLinearIsometryEquiv, logDeriv_inv, HasFDerivAt.isThetaTVS_sub, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, 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, PiTensorProduct.projectiveSeminorm_add_le, MultilinearMap.bound_of_shell, 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, deriv_clm_comp, HasStrictFDerivAt.approximates_deriv_on_open_nhds, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, hasStrictFDerivAt_exp_zero_of_radius_pos, ContinuousLinearMap.toBilinForm_injective, ContDiffMapSupportedIn.structureMapCLM_top_apply, InnerProductSpace.mem_span_gramSchmidt, ContinuousLinearMap.mfderivWithin_eq, ContinuousMultilinearMap.nnnorm_ofSubsingleton, norm_iteratedFDerivWithin_comp_le, inner_smul_real_left, Balanced.zero_insert_interior, ContDiffOn.fderivWithin, ContinuousLinearMap.continuousOn_uncurry_of_multilinear, RCLike.natCast_im, Asymptotics.IsTheta.inv, tsum_prod_pow_eq_tsum_sigma, ContinuousLinearMap.norm_compContinuousAlternatingMap_le, ContDiff.continuous_iteratedFDeriv, WeakDual.metrizable_of_isCompact, TangentBundle.symmL_model_space, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, 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, Asymptotics.IsBigOTVS.triangle, HasFPowerSeriesWithinAt.isBigO_image_sub_norm_mul_norm_sub, fderiv_norm_smul, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, ContinuousAlternatingMap.isLeast_opNNNorm, ContinuousLinearMap.isEmbedding_restrictScalars, WithLp.volume_preserving_symm_measurableEquiv_toLp_prod, spectrum.hasFDerivAt_resolvent, ContinuousLinearMap.exists_mul_lt_apply_of_lt_opNNNorm, MeasureTheory.MemLp.re, meromorphicNFAt_prod, Submodule.sub_mem_orthogonal_of_inner_right, bilinearIteratedFDerivWithinTwo_eq_iteratedFDeriv, RCLike.nnnorm_conj, RCLike.ratCast_re, HasFiniteFPowerSeriesOnBall.eq_partialSum', MeasureTheory.AEStronglyMeasurable.im, cfc_comp_norm, VectorField.mlieBracket_const_smul_left, RCLike.ofReal_eq_re_of_isSelfAdjoint, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, Matrix.IsHermitian.coe_re_apply_self, LinearIsometry.enorm_toContinuousLinearMap, fderivWithin_fun_add, Unitization.instCStarRing, coe_lpBCFₗᵢ_symm, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, HasDerivAt.comp_hasDerivWithinAt, RKHS.kerFun_inner, uniqueMDiffOn_iff_uniqueDiffOn, coe_lpPiLpₗᵢ_symm, Bundle.Trivialization.continuousLinearMap_apply, IsBoundedBilinearMap.toContinuousLinearMap_apply, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, Bornology.isVonNBounded_sub, LinearEquiv.continuous_symm, Differentiable.continuousAlternatingMap_apply_const, differentiable_piLp, ClosedSubmodule.inf_orthogonal_eq_bot, HasFPowerSeriesOnBall.pi, spectralNorm.eq_of_normalClosure, ContinuousLinearEquiv.continuousAlternatingMapCongrLeft_apply, NormedSpace.isCompact_closure_of_isBounded, Submodule.reflection_eq_self_iff, HasFPowerSeriesWithinOnBall.fderivWithin_eq, Orthonormal.equiv_refl, stereographic_source, ContinuousMultilinearMap.piₗᵢ_symm_apply, hom_trivializationAt_source, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_self, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, Commute.cfc, RCLike.lt_iff_re_im, AlgHom.coe_toContinuousLinearMap, ContDiff.iteratedFDeriv_right', HasDerivAt.scomp, ContinuousLinearMap.norm_id_le, HasFDerivAt.le_of_lipschitz, ContDiffMapSupportedIn.structureMapLM_top_apply, ContinuousLinearMap.ker_adjoint_comp_self, AnalyticAt.analyticOrderAt_ne_top, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, LinearEquiv.canLiftContinuousLinearEquiv, MultilinearMap.mkContinuous_norm_le, Matrix.ofLp_toEuclideanLin_apply, spectralNorm.eq_of_normalClosure', ContinuousOn.cfcₙ_of_mem_nhdsSet, mfderiv_extChartAt_comp_mfderivWithin_extChartAt_symm', Filter.Tendsto.isVonNBounded_range, HasDerivAt.const_mul, Real.hasFDerivAt_fourierIntegral, NumberField.InfinitePlace.Completion.bijective_extensionEmbedding_of_isComplex, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, HasDerivWithinAt.congr, SchwartzMap.integralCLM_apply, IsCovariantDerivativeOn.add_one_form, Polynomial.tendsto_atTop_of_leadingCoeff_nonneg, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, PolynormableSpace.withSeminorms', hasDerivAt_one, HasDerivAtFilter.fun_neg, LinearMap.IsSymmetric.apply_eigenvectorBasis, HasStrictFDerivAt.hasStrictDerivAt, FormalMultilinearSeries.radius_shift, EuclideanSpace.volume_ball_fin_two, DirectSum.IsInternal.card_filter_subordinateOrthonormalBasisIndex_eq, ContinuousLinearEquiv.comp_right_differentiableAt_iff, hasFDerivAt_iff_isLittleOTVS, nnnorm_algebraMap', RCLike.im_eq_zero_of_le, norm_add_sq, spectralNorm.spectralNorm_eq_norm_coeff_zero_rpow, fderivWithin_sqrt, fderivWithin_natCast, Submodule.finrank_add_inf_finrank_orthogonal', 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, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, ContinuousAt.clm_bundle_apply₂, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousLinearEquiv.hasStrictFDerivAt, LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_right, ContinuousMultilinearMap.hasBasis_nhds_zero_of_basis, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, Submodule.ker_starProjection, ContinuousLinearEquiv.mfderiv_eq, ContinuousMultilinearMap.isVonNBounded_image2_apply, hasLineDerivAt_iff_tendsto_slope_zero, norm_iteratedFDeriv_comp_le, InnerProductSpace.toContinuousLinearMap_toDualMap, HasFDerivAt.list_prod', meromorphicNFOn_finprod, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', fderivWithin_const_smul_field, fderiv_continuousMultilinearMapCompContinuousLinearMap, RCLike.normSq_pos, ContinuousLinearEquiv.comp_contDiffWithinAt_iff, ContinuousMultilinearMap.opNorm_neg, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, IsSelfAdjoint.commute_cfcₙHom, ContinuousLinearMap.measurable_coe, HasDerivWithinAt.smul_const, ContinuousMultilinearMap.uniformContinuous_coe_fun, HasFDerivAt.fun_neg, ContinuousLinearMap.analyticOn, Polynomial.fderivWithin_aeval, 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, Submodule.topologicalClosure_eq_top_iff, hasDerivAt_abs, mdifferentiableOn_coordChangeL, RCLike.conj_im, Polynomial.fderivWithin, HasFiniteFPowerSeriesOnBall.add, Filter.EventuallyEq.extDerivWithin, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, ContDiffAt.iteratedFDeriv_comp_perm, Polynomial.hasDerivAt, HasFDerivAt.fun_add, HasFDerivAt.fst, ContinuousLinearEquiv.continuousAlternatingMapCongrRight_apply, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, VectorPrebundle.mk_coordChange, ContinuousLinearMap.opNorm_lsmul_le, EuclideanSpace.volume_ball, LinearMap.IsSymmetric.zero, TensorProduct.enorm_assoc, RCLike.conj_I, LinearMap.coe_isometryOfInner, OrthonormalBasis.repr_symm_single, ContinuousMultilinearMap.instUniformContinuousConstSMul, MultilinearMap.mkContinuousMultilinear_norm_le, iteratedFDerivWithin_fun_sum_apply, WeakDual.CharacterSpace.norm_le_norm_one, ContDiffMapSupportedIn.monoCLM_eq_zero, Matrix.linfty_opNorm_toMatrix, HasFPowerSeriesAt.eventually_hasSum_of_comp, hasDerivAt_natCast, cfcL_integral, HasDerivAtFilter.fun_sub, Seminorm.rescale_to_shell, HasDerivWithinAt.union, 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, SchauderBasis.RankOneDecomposition.exists_coeff, ContinuousWithinAt.clm_bundle_apply₂, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_fst, InnerProductSpace.Core.inner_self_ofReal_re, ContinuousLinearMap.isPositive_def', ContinuousLinearMap.coe_restrictScalarsL, LinearMap.adjoint_inner_left, ContinuousLinearMap.fderivWithin, HasDerivWithinAt.add_const, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, iter_deriv_inv, HasMFDerivAt.comp_hasMFDerivWithinAt, Matrix.star_dotProduct_gram_mulVec, Bornology.IsVonNBounded.of_add_left, hasStrictFDerivAt_exp_zero, ContinuousLinearMap.norm_compL_le, RCLike.hasSum_iff, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, Asymptotics.IsBigO.continuousMultilinearMap_apply_eq_zero, RCLike.measurable_im, ContMDiffVectorBundle.contMDiffOn_coordChangeL, EulerSine.antideriv_cos_comp_const_mul, ContDiff.inv, curveIntegral_eq_intervalIntegral_deriv, Filter.EventuallyEq.fderivWithin', fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.inv_def, ContinuousLinearMap.inCoordinates_eq, meromorphicOrderAt_smul_of_ne_zero, HasDerivWithinAt.congr_set, mfderiv_prodMk, Bornology.isVonNBounded_add, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, NumberField.InfinitePlace.Completion.algebraMap_coe, hasMFDerivWithinAt_snd, ContDiffAt.continuousLinearMap_comp, ContinuousMultilinearMap.norm_domDomCongr, HasStrictFDerivAt.fun_neg, HasFDerivWithinAt.arctan, ZSpan.quotientEquiv.symm_apply, OrthogonalFamily.range_linearIsometry, NumberField.mixedEmbedding.convexBodyLT_convex, HasStrictFDerivAt.sum, HasStrictFDerivAt.implicitToOpenPartialHomeomorph_apply_ker, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, HasCompactSupport.fderiv_apply, Submodule.ker_orthogonalProjection, fderiv_continuousMultilinear_apply_const, SchauderBasis.succSub_ortho, LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional, HasDerivWithinAt.smul, innerSL_real_flip, Submodule.reflection_map_apply, HasDerivAt.real_of_complex, HasStrictFDerivAt.to_localInverse, 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, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousMultilinearMap.curry0_norm, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, Submodule.sup_orthogonal_of_hasOrthogonalProjection, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, 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, CovariantDerivative.torsion_antisymm, ContinuousLinearMap.opNNNorm_comp_le, Submodule.starProjection_orthogonalComplement_singleton_eq_zero, HasDerivWithinAt.mono, Submodule.isOrtho_iSup_right, TensorProduct.toLinearEquiv_assocIsometry, ContinuousMultilinearMap.analyticOn, FormalMultilinearSeries.changeOriginSeries_summable_aux₂, HasMFDerivAt.prod, ContMDiffWithinAt.clm_apply_of_inCoordinates, MeromorphicNFAt.smul_analytic, fderivWithin_csin, ContinuousLinearEquiv.conjContinuousAlgEquiv_ext_iff, Submodule.IsOrtho.disjoint, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous, norm_cfc_le, ZLattice.volume_image_eq_volume_div_covolume', PiTensorProduct.mapL_opNorm, HasFDerivWithinAt.comp_hasDerivAt, SchwartzMap.compCLM_apply, iter_deriv_inv', toMatrix_innerSL_apply, OrthonormalBasis.equiv_apply_basis, TemperedDistribution.fourierMultiplierCLM_apply_apply, ClosedSubmodule.sInf_orthogonal, intervalIntegral.fderivWithin_integral_of_tendsto_ae, hasStrictFDerivAt_one, HasDerivAt.mul, Function.HasTemperateGrowth.smul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, HasStrictFDerivAt.isBigOTVS_sub, DoubleCentralizer.mul_fst, Matrix.PosSemidef.re_dotProduct_nonneg, rescale_to_shell_zpow, ContMDiff.clm_postcomp, Asymptotics.IsLittleOTVS.tendsto_inv_smul, 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, fun_iteratedFDeriv_sub_apply, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, CFC.spectrum_abs, MDifferentiableAt.coordChangeL, fderivWithin_continuousAlternatingMap_apply_const, extDeriv_fun_add, Manifold.IsImmersionAt.target_subset_preimage_target, Submodule.starProjection_top, ContDiffAt.clm_comp, EulerSine.antideriv_sin_comp_const_mul, hasFDerivAt_sub_const, Submodule.iInf_orthogonal, ContinuousLinearMap.norm_restrictScalars, ContinuousLinearMapWOT.instT3Space, Asymptotics.IsLittleOTVS.isBigOTVS, coe_normSeminorm, ApproximatesLinearOn.closedBall_subset_target, ContinuousLinearEquiv.arrowCongrSL_apply, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_completeSpace, MDifferentiableWithinAt.clm_postcomp, NormedAlgebra.norm_smul_le, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, HasDerivWithinAt.const_sub, ContDiffBump.convolution_eq_right, hasFDerivWithinAt_fst, HasDerivWithinAt.const_smul, ContMDiff.clm_prodMap, ModelWithCorners.transContinuousLinearEquiv_range, iteratedDeriv_comp_eq_sum_orderedFinpartition, TensorProduct.nnnorm_assoc, IsSelfAdjoint.conj_starProjection, hasFDerivAt_natCast, FormalMultilinearSeries.analyticAt_changeOrigin, HasDerivWithinAt.hasDerivAt, 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, ContinuousMultilinearMap.instT2Space, ContinuousLinearMap.orthogonal_range, contDiff_one_iff_hasFDerivAt, HasFiniteFPowerSeriesAt.add, Submodule.lipschitzWith_starProjection, MDifferentiableWithinAt.clm_bundle_apply, HasFPowerSeriesAt.hasDerivAt, ContinuousLinearMap.isPositive_iff_complex, hasDerivWithinAt_congr_set', HasFDerivWithinAt.comp_hasFDerivAt_of_eq, NormedSpace.norm_smul_le, HasFPowerSeriesAt.eventually_hasSum_sub, ContinuousLinearMap.isThetaTVS_comp, meromorphicOrderAt_pow, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, ContinuousLinearMap.comp_cpolynomialOn, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousLinearMap.opNorm_smul_le, InnerProductSpace.span_gramSchmidt, TestFunction.fderivCLM_apply_of_gt, Asymptotics.isLittleOTVS_congr, IsBoundedBilinearMap.deriv_apply, Orthonormal.inner_finsupp_eq_zero, HasStrictFDerivAt.isThetaTVS_sub, fderiv_zero, hasDerivWithinAt_const_add_iff, ContinuousLinearMap.range_eq_map_coprodSubtypeLEquivOfIsCompl, logDeriv_prod, ContinuousLinearMap.spectralRadius_eq_nnnorm, EuclideanGeometry.hasFDerivAt_inversion, fderiv_comp', MeasureTheory.convolutionExistsAt_iff_integrable_swap, ContinuousMultilinearMap.le_opNorm_mul_prod_of_le, PiLp.hasFDerivAt_ofLp, meromorphicTrailingCoeffAt_prod, PiTensorProduct.projectiveSeminorm_smul_le, RCLike.ofNat_im, deriv_div, torusIntegral_smul, ZLattice.comap_comp, range_cfcHom_le, norm_iteratedFDeriv_one, NumberField.InfinitePlace.LiesOver.extensionEmbedding_liesOver_of_isReal, Continuous.cfcₙ', VectorField.mpullback_smul, hasDerivAt_ofReal_cpow_const, LinearMap.coe_isometryOfOrthonormal, LinearIsometryEquiv.comp_differentiable_iff, hasDerivAt_norm_rpow, hasFDerivAt_tsum, ContinuousLinearMap.spectrum_eq, hasFDerivAtFilter_id, HasStrictFDerivAt.fun_const_smul, OrthonormalBasis.span_apply, isConformalMap_id, iteratedFDerivWithin_eventually_congr_set', ContinuousMultilinearMap.analyticOnNhd, StronglyMeasurable.apply_continuousLinearMap, ClosedSubmodule.orthogonal_toSubmodule_eq, HasFDerivAt.hasDerivAt, fderivWithin_const_smul, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_apply, extDerivWithin_extDerivWithin_apply, ContinuousLinearMap.isStarProjection_iff_isIdempotentElem_and_isStarNormal, spectrum.exp_mem_exp, HasStrictDerivAt.fun_sub, differentiableAt_finCons', ContinuousLinearMap.isPositive_iff, HasDerivWithinAt.star, 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, ContinuousOn.cfc', HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, ContinuousLinearMap.norm_bilinearRestrictScalars, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin, 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, IsSelfAdjoint.hasEigenvector_of_isMinOn, LinearMap.IsSymmetric.sub, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, 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, Seminorm.bound_of_shell_sup, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, DoubleCentralizer.zero_toProd, Matrix.IsHermitian.coe_re_diag, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, ContinuousLinearMap.bilinearComp_zero_left, HasStrictDerivAt.finCons, ContinuousLinearMap.nnnorm_smulRight_apply, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, hasDerivAt_zero, LinearIsometryEquiv.smul_trans, SchwartzMap.fderivCLM_fourier_eq, ContinuousMultilinearMap.instContinuousSMul, HasFDerivWithinAt.isLittleOTVS, 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, IsCompactOperator.image_closedBall_subset_compact, RCLike.ratCast_im, Real.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, VectorBundleCore.continuousOn_coordChange, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivAtFilter_iff_hasFDerivAtFilter, LinearMap.singularValues_finrank_range_self, hasDerivWithinAt_inter', ContinuousLinearEquiv.fderivWithin, ContinuousAlternatingMap.instCompleteSpace, mfderiv_comp_apply, HasDerivWithinAt.scomp_hasDerivAt, AffineSubspace.subtypeₐᵢ_linearIsometry, Unitary.inner_map_map, ContDiffBump.dist_normed_convolution_le, MDifferentiableOn.clm_precomp, HasFDerivWithinAt.fun_sum, WithAbs.isUniformInducing_of_comp, RCLike.I_mul_re, VectorField.lieBracketWithin_smul_right, isCompactOperator_of_tendsto, fderiv_fun_const_smul, hasDerivAt_exp_smul_const_of_mem_ball', TensorProduct.enorm_map, uniformEquicontinuous_birkhoffAverage, LinearMap.IsSymmetric.det_eq_prod_eigenvalues, deriv_comp_mul_left, LinearMap.derivWithin, LinearMap.IsSymmetric.id, OrthonormalBasis.toMatrix_orthonormalBasis_mem_unitary, inner_gradientWithin_left, 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, HasStrictDerivAt.prodMk, intervalIntegral.integral_hasDerivAt_right, tsupport_fderiv_apply_subset, hasFTaylorSeriesUpToOn_succ_iff_left, HasDerivWithinAt.mul_const, WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded, HasCompactSupport.hasDerivAt_convolution_left, iteratedFDeriv_sub, Polynomial.hasStrictDerivAt, ContDiff.clm_apply, HasDerivWithinAt.cexp, IsConformalMap.comp, WithLp.volume_preserving_ofLp, ContinuousLinearEquiv.isBigO_comp_rev, deriv_clm_apply, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, HasFPowerSeriesWithinOnBall.add, Commute.cfcₙ, ContinuousLinearMap.add_compLp, NumberField.mixedEmbedding.logMap_real, curveIntegralFun_restrictScalars, contDiffOn_succ_iff_fderivWithin, FormalMultilinearSeries.changeOrigin_finite_of_finite, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, instSecondCountableTopologyContinuousLinearMapIdOfFiniteDimensional, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, meromorphicNFAt_smul_iff_right_of_analyticAt, HasDerivWithinAt.Ioi_of_Ici, ContinuousLinearMap.adjointAux_inner_right, hasFDerivWithinAt_ofNat, ContinuousLinearMap.isCompact_closure_image_coe_of_bounded, HasDerivWithinAt.Ioi_iff_Ioo, VectorField.mpullback_mfderivWithin_apply_smul, VectorField.mpullbackWithin_const_smul, MeromorphicOn.smul, HasMFDerivWithinAt.mul, ContDiffWithinAt.iteratedFDerivWithin_right, OpenPartialHomeomorph.MDifferentiable.symm_comp_deriv, ContinuousLinearEquiv.isOpen, HilbertBasis.repr_self, HasStrictFDerivAt.clm_apply, RCLike.conj_re_ax, fderiv.fst, TensorProduct.commIsometry_apply, ContinuousLinearEquiv.coe_toDiffeomorph, VectorField.mfderiv_extChartAt_inverse_comp_mfderivWithin_extChartAT_symm, ContMDiffAt.clm_bundle_apply₂, ContDiffMapSupportedIn.fderivLM_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', fderivWithin_sub, Module.Basis.coe_toOrthonormalBasis, continuousMultilinearCurryRightEquiv_symm_apply', MeasureTheory.condExpInd_smul', ContinuousLinearMap.isBigO_sub, IsCovariantDerivativeOn.zero, ContinuousAt.cfcₙ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, DoubleCentralizer.norm_fst, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, measurable_smul_const, ContDiffWithinAt.fderivWithin, WeakDual.isCompact_of_bounded_of_closed, ContinuousLinearMap.opNNNorm_eq_of_bounds, SchwartzMap.smul_apply, ContDiffMapSupportedIn.continuousSMul, ContinuousLinearMap.prodL_apply, iteratedFDerivWithin_sub_apply, 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, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, Bundle.Trivialization.prod.isLinear, MeromorphicOn.divisor_smul, Manifold.pathELength_eq_lintegral_mfderiv_Icc, TensorialAt.mkHom_apply, 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, nnnorm_cfcₙ_le_iff, HasDerivAt.const_add, WithAbs.pseudoMetricSpace_induced_of_comp, dimH_orthogonalProjection_le, WithSeminorms.continuous_of_isBounded, iteratedFDerivWithin_two_apply, extDerivWithin_smul, fderiv_ccosh, instDiscreteTopologySubtypeMemSubmoduleIntComap, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, inner_mul_symm_re_eq_norm, ContinuousMultilinearMap.bound, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, HasStrictFDerivAt.fun_smul, hasStrictFDerivAt_ofNat, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_vsub_mem_and_norm_sq, iteratedFDeriv_fun_zero, 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', OrthogonalFamily.sum_projection_of_mem_iSup, instCompletableTopField, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, Asymptotics.IsEquivalent.inv, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', CurveIntegrable.smul, AffineIsometryEquiv.ofEq_rfl, LinearMap.IsSymmetric.trace_eq_sum_eigenvalues, ContinuousLinearMap.hasFDerivAt_of_bilinear, Polynomial.abs_tendsto_atBot, 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, contDiffOn_succ_iff_fderiv_apply, hasStrictDerivAt_one, HasDerivWithinAt.of_isLittleO, contMDiffAt_iff_localFrame_coeff, IsCompactOperator.image_ball_subset_compact, StrongDual.extendRCLike_apply, ContinuousLinearMap.closed_range_of_antilipschitz, Polynomial.exists_monic_and_natDegree_eq_and_norm_map_algebraMap_coeff_sub_lt, HasStrictFDerivAt.multiset_prod, OpenPartialHomeomorph.MDifferentiable.mfderiv_injective, LinearMap.IsPositive.inner_nonneg_right, HasDerivAt.div_const, HasDerivAt.scomp_of_eq, Matrix.toEuclideanLin_apply_piLp_toLp, RCLike.realRingEquiv_apply, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, Valued.integer.mem_iff, ContDiffMapSupportedIn.continuous_iff_comp_order_le, iteratedFDerivWithin_fun_zero, InnerProductSpace.span_gramSchmidt_Iio, TensorialAt.mkHom₂_apply, ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, Polynomial.coeff_bdd_of_roots_le, smul_ball, LinearIsometryEquiv.lTensor_def, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', RCLike.mul_im, Seminorm.smul_ball_preimage, TensorialAt.mkHom_apply_eq_extend, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, LinearIsometry.strictConvexSpace_range_iff, Submodule.starProjection_orthogonal_apply_eq_zero, HasFDerivWithinAt.smul, extDeriv_apply_vectorField_of_pairwise_commute, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, ContinuousAlternatingMap.prodLIE_apply, ContMDiffWithinAt.clm_apply, Submodule.mem_orthogonal_singleton_iff_inner_left, 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, ftaylorSeries_zero, Function.FactorizedRational.extractFactor, ContinuousLinearMap.opNNNorm_le_of_lipschitz, Submodule.reflection_involutive, Polynomial.div_tendsto_atTop_zero_of_degree_lt, ContinuousLinearMap.norm_pi_le_of_le, SchwartzMap.convolution_flip, HasDerivWithinAt.isLittleO, ContinuousLinearMap.opNorm_le_of_nhds_zero, ContinuousLinearMap.opNorm_flip, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, Seminorm.bound_of_shell_smul, HasDerivWithinAt.prodMk, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, ContinuousLinearMap.precompCompactConvergenceCLM_apply, VectorPrebundle.continuousOn_coordChange, VectorField.mpullbackWithin_apply, LinearMap.isSymmetric_iff_sesqForm, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, HasStrictFDerivAt.mul_const', ContinuousLinearMap.IsPositive.adjoint_conj, measurable_fderiv_with_param, LinearIsometryEquiv.reflections_generate_dim, HasDerivAt.div, Submodule.orthogonal_le, mfderiv_const, IsConformalMap.smul, iteratedFDeriv_prodMk, isCoveringMap_npow, Irreducible.maximalIdeal_eq_closedBall, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection, HasDerivWithinAt.pow, SchwartzMap.lineDerivOp_apply_eq_fderiv, LinearMap.bound_of_sphere_bound, ContinuousLinearMap.abs_rayleighQuotient_le_of_norm_mem_resolventSet, ContinuousLinearMap.tendsto_of_tendsto_pointwise_of_cauchySeq, Complex.hasDerivAt_Gamma_one, ContinuousLinearMap.exist_extension_of_finiteDimensional_range, ContMDiffCovariantDerivativeOn.contMDiff, RKHS.kernel_inner, LinearMap.isSymmetricProjection_iff_eq_coe_starProjection_range, hasFDerivWithinAt_pi, NumberField.mixedEmbedding.normAtPlace_smul, intervalIntegral.integral_smul_const, MeasureTheory.hausdorffMeasure_orthogonalProjection_le, Polynomial.deriv, FormalMultilinearSeries.derivSeries_eq_zero, InnerProductSpace.laplacianWithin_smul_nhds, ContinuousLinearMap.differentiableOn, ContinuousMultilinearMap.uncurry0_apply, differentiableWithinAt_apply, TestFunction.lineDerivCLM_smul, DifferentiableWithinAt.continuousAlternatingMap_apply, Polynomial.div_tendsto_zero_of_degree_lt, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_invariant, ContinuousLinearMap.isPositive_iff', ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, LinearIsometryEquiv.comp_hasFDerivAt_iff, HasDerivAtFilter.isEquivalent_sub, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, Submodule.finrank_add_finrank_orthogonal, ContinuousMultilinearMap.le_of_opNorm_le, ContinuousLinearMap.star_eq_adjoint, UnconditionalSchauderBasis.bddAbove_range_nnnorm_proj, FormalMultilinearSeries.comp_rightInv, IsBoundedLinearMap.fderivWithin, Submodule.orthogonal_eq_top_iff, ContinuousMultilinearMap.curryLeft_apply, ContinuousAlternatingMap.hasFDerivWithinAt, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, PiLp.hasFDerivAt_apply, Submodule.lipschitzWith_orthogonalProjection, HasStrictDerivAt.fun_neg, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, measurableSet_of_differentiableAt_of_isComplete_with_param, HasFPowerSeriesWithinAt.neg, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one, Bornology.IsVonNBounded.closure, ContinuousLinearMap.opNorm_le_of_shell, continuousOn_cfcₙ_setProd, Meromorphic.fun_prod, fderiv_sqrt, ModularForm.prod_fintype_slash, volume_euclideanSpace_eq_dirac, MeasureTheory.Integrable.apply_continuousLinearMap, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, LinearMap.isSymmetric_adjoint_comp_self, Asymptotics.isThetaTVS_comm, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, RCLike.wInner_one_const_left, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, fderivWithin_list_prod', AlternatingMap.mkContinuousLinear_norm_le, ProperCone.hyperplane_separation_of_notMem, OrderedFinpartition.applyOrderedFinpartition_update_left, Module.End.mem_invtSubmodule_adjoint_iff, LinearMap.continuous_of_isClosed_ker, orthogonalFamily_iff_pairwise, ZSpan.map_fundamentalDomain, DifferentiableWithinAt.continuousMultilinear_apply_const, RCLike.re_ofReal_pow, fderiv_clm_apply, ContinuousMultilinearMap.norm_compContinuous_linearIsometryEquiv, FormalMultilinearSeries.radius_le_radius_derivSeries, ContinuousAlternatingMap.curryLeftLI_apply, re_inner_self_nonpos, ContinuousLinearMap.norm_single_le_one, HasDerivAt.iterate, 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', ContinuousLinearEquiv.ofBijective_symm_apply_apply, uniqueDiffOn_convex_of_isRCLikeNormedField, ContinuousLinearMap.norm_compSL_le, TestFunction.monoCLM_apply, ContinuousLinearEquiv.uniqueDiffOn_preimage_iff, BoundedContinuousFunction.toContinuousMapₐ_apply, fderivWithin_smul_const, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, RCLike.nnnorm_nnqsmul, ContDiffMapSupportedIn.withSeminorms, differentiableWithinAt_snd, ContMDiffFiberwiseLinear.locality_aux₁, Submodule.isOrtho_sSup_left, Bundle.Trivial.trivialization.coordChangeL, MeasureTheory.withDensityᵥ_smul, ContDiffAt.exists_eventually_eq_hasDerivAt, LinearMap.range_self_comp_adjoint, ContinuousMultilinearMap.analyticWithinAt, Bornology.isVonNBounded_vadd, fderiv_star, HasFPowerSeriesWithinAt.unshift, SchauderBasis.enorm_proj_le_enormProjBound, 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, Seminorm.absorbent_closedBall, ContinuousLinearMap.tendsto_birkhoffAverage_orthogonalProjection, IsCompactOperator.continuous, InnerProductSpace.isIdempotentElem_rankOne_self_iff, HasDerivAt.tendsto_slope_zero, Submodule.norm_starProjection_apply, Filter.EventuallyEq.iteratedFDeriv, fderivWithin_continuousLinearEquiv_comp, ContinuousMultilinearMap.toUniformOnFun_toFun, ContinuousLinearMap.opNorm_nonneg, HasDerivAtFilter.hasFDerivAtFilter, IsSelfAdjoint.hasEigenvector_of_isLocalExtrOn, 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, Asymptotics.IsThetaTVS.trans, OrthogonalFamily.norm_sum, ContinuousLinearMap.map_smul₂, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, 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, Submodule.reflection_mem_subspace_eq_self, Real.iteratedFDeriv_fourierIntegral, Orthonormal.mapLinearIsometryEquiv, 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, WithSeminorms.continuous_normedSpace_rng, ContinuousLinearEquiv.analyticOnNhd, StieltjesFunction.ae_hasDerivAt, IsConformalMap.injective, InnerProductSpaceable.innerProp, Continuous.clm_bundle_apply₂, fderivWithin_const_apply, algNormFromConst_def, LinearIsometry.strictConvexSpace_range, ContinuousLinearMap.opNorm_neg, OrthogonalFamily.independent, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineIsometry, Asymptotics.IsLittleOTVS.mono, fderivWithin_pow_ring', ContinuousLinearMap.analyticOn_uncurry_of_multilinear, norm_sub_le_mul_volume_of_norm_fderiv_le, RCLike.norm_to_complex, FormalMultilinearSeries.changeOrigin_eval, LinearMap.toSeminorm_ball_zero, continuousAt_hom_bundle, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, 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, Asymptotics.IsThetaTVS.trans_isLittleOTVS, RCLike.conj_inv, LinearIsometryEquiv.symm_units_smul, LinearMap.IsSymmetric.roots_charpoly_eq_eigenvalues, IsHilbertSum.linearIsometryEquiv_symm_apply_single, IsSelfAdjoint.adjoint_conj, Asymptotics.IsBigOTVS.trans_isThetaTVS, 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, ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero, HasDerivAt.inner, HasFPowerSeriesAt.prod, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', hasStrictDerivAt_natCast, LinearIsometryEquiv.toLinearIsometry_rTensor, Complex.hasDerivAt_Gamma_one_half, VectorPrebundle.contMDiffOn_contMDiffCoordChange, ContinuousAlternatingMap.opNorm_le_bound, LeftInvariantDerivation.toDerivation_injective, Submodule.starProjection_minimal, EuclideanGeometry.orthogonalProjection_linear, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, ContinuousLinearMap.contMDiffWithinAt, IsCovariantDerivativeOn.torsion_apply_eq_extend, lineDeriv_smul, Meromorphic.finprod, AlternatingMap.mkContinuousAlternating_norm_le_max, PiTensorProduct.mapL_pow, LinearMap.continuous_of_isClosed_graph, DoubleCentralizer.natCast_toProd, OrthonormalBasis.sum_rankOne_eq_id, ContinuousLinearMap.dslope_comp, norm_apply_le_norm_cfc, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', HasStrictDerivAt.hasDerivAt, MeasureTheory.Lp.toTemperedDistribution_toLp_eq, Asymptotics.IsLittleOTVS.trans, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, Submodule.orthogonalProjection_orthogonal_apply_eq_zero, Asymptotics.IsLittleO.finsetProd, ContinuousLinearMap.unit_le_opNorm, HasFPowerSeriesWithinAt.add, Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le', Submodule.starProjection_mem_subspace_eq_self, ContDiffMapSupportedIn.fderivCLM_apply_of_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, exists_extension_norm_eq, InnerProductSpace.gramSchmidt_linearIndependent, AnalyticOn.hasFPowerSeriesOnBall, DifferentiableWithinAt.clm_apply, HasMFDerivAt.prodMk, HasStrictFDerivAt.to_local_left_inverse, 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, deriv_star_conj, LinearMap.isPositive_iff, ContinuousLinearMap.measurable_apply', differentiableAt_conj_conj_iff, HasStrictFDerivAt.continuousAlternatingMap_apply_const, NormedSpace.closedBall_inv_subset_polar_closedBall, integrable_cfc, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, CovariantDerivative.torsion_self, DifferentiableAt.clm_apply, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, DifferentiableOn.finCons, 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, HasFDerivAt.comp_semilinear, extDeriv_extDeriv_apply, RCLike.normSq_zero, ContinuousAffineMap.fst_decompLinearIsometryEquiv, VectorField.pullback_eq_of_fderiv_eq, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, RCLike.enorm_conj, extDeriv_pullback, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, inner_smul_right_eq_smul, differentiableOn_apply, iteratedFDerivWithin_sum_apply, ContinuousMultilinearMap.isUniformInducing_postcomp, LinearIsometryEquiv.star_eq_symm, ContinuousLinearEquiv.dimH_preimage, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, ContDiffWithinAt.fderivWithin_right_apply, 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, Bundle.Pretrivialization.continuousLinearMap_symm_apply', OrthonormalBasis.coe_equiv_euclideanSpace, StrongDual.im_extendRCLike_apply, RCLike.conjAe_coe, fderivWithin_mul_const, hasFDerivAt_zero, ContinuousLinearEquiv.continuousAlternatingMapCongr_apply, NormedSpace.algebraMap_exp_comm_of_mem_ball, continuous_cfcₙAux, continuousWithinAt_hom_bundle, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, UnconditionalSchauderBasis.nnnorm_proj_le_nnnormProjBound, derivWithin_div, ContDiffOn.inv, fderivWithin.fst, NonUnitalCommCStarAlgebra.toSMulCommClass, IsCompactOperator.isCompact_closure_image_of_bounded, HasFDerivAt.mul_const', ContinuousAlternatingMap.nnnorm_ofSubsingleton, norm_cfcHom, RCLike.to_complex_nonneg_iff, HasFiniteFPowerSeriesOnBall.fderiv', ContinuousLinearMap.le_of_opNorm₂_le_of_le, ContinuousLinearMap.ofTendstoOfBoundedRange_apply, Bundle.Trivialization.pullback_linear, Submodule.orthogonalProjectionFn_eq, Complex.IsExactOn.with_val_at, iteratedFDerivWithin_clm_apply_const_apply, ContinuousMultilinearMap.currySum_apply, TensorProduct.nnnorm_comm, Submodule.IsOrtho.ge, OpenPartialHomeomorph.MDifferentiable.ker_mfderiv_eq_bot, NumberField.InfinitePlace.Completion.liesOver_extensionEmbedding, WeakDual.isBounded_closedBall, SeminormedSpace.Core.norm_smul, Polynomial.differentiableWithinAt_aeval, Submodule.bot_orthogonal_eq_top, signedDist_apply, HasDerivAt.pow', 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, LinearMap.IsSymmetric.charpoly_eq, GeneralSchauderBasis.range_proj_eq_span, ZLattice.covolume.tendsto_card_le_div'', TestFunction.instLineDerivSMulTopENat, Orthonormal.comp_linearIsometryEquiv, RCLike.im_ofReal_mul, Submodule.map_orthogonal, HasStrictFDerivAt.comp, AnalyticAt.compContinuousLinearMap, DoubleCentralizer.natCast_snd, ContDiffMapSupportedIn.bounded_iteratedFDeriv, inner_self_re_eq_norm, CompactConvergenceCLM.continuousSMul, mfderiv_smul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, isSymmSndFDerivWithinAt_iff_iteratedFDerivWithin, HasFDerivAt.hasGradientAt, 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, HasDerivAtFilter.finCons, LinearIsometryEquiv.toMatrix_mem_unitaryGroup, FormalMultilinearSeries.coeff_iterate_fslope, LinearMap.IsSymmetric.conj_inner_sym, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.coeFn_compLp, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, ContMDiffWithinAt.clm_prodMap, ContinuousAt.clm_comp, ContinuousLinearMap.isOpenMap, ContDiffMapSupportedIn.fderivCLM_apply, Algebra.norm_smul_one_eq_norm, RCLike.geometric_hahn_banach_of_nonempty_interior, ContDiffWithinAt.iteratedFDerivWithin_comp_perm, ContinuousLinearMapWOT.ext_iff, LinearMap.IsSymmetric.LinearMap.IsSymmetric.directSum_isInternal_of_pairwise_commute, hasStrictDerivAt_exp_smul_const_of_mem_ball', ContinuousAlternatingMap.instT2Space, ContinuousLinearMap.extendTo𝕜'_apply, TestFunction.fderivCLM_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, SchwartzMap.fourierMultiplierCLM_fourierMultiplierCLM_apply, hasFDerivAtFilter_finCons', ContinuousLinearEquiv.analyticWithinAt, nndist_homothety_center, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, complexOfReal_hasDerivAt, Real.hasFDerivAt_fourierChar_neg_bilinear_right, ContinuousLinearMap.IsIdempotentElem.isSelfAdjoint_iff_isStarNormal, LinearIsometryEquiv.differentiableAt, RCLike.re_extendTo𝕜ₗ, Real.fourier_continuousMultilinearMap_apply, LinearIsometryEquiv.differentiable, RCLike.im_eq_complex_im, Unitization.splitMul_injective, isInvertible_mfderiv_extChartAt, MeromorphicOn.fun_inv, ContinuousLinearMap.isUniformEmbedding_postcomp, 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, DifferentiableOn.continuousAlternatingMap_apply_const, ModelWithCorners.coe_transContinuousLinearEquiv, SeparatingDual.completeSpace_continuousMultilinearMap_iff, Submodule.orthogonal_le_iff_orthogonal_le, ContMDiffOn.smul_section_of_tsupport, Meromorphic.inv, ContDiffOn.comp_continuousLinearMap, norm_iteratedFDerivWithin_mul_le, Seminorm.uniformContinuous', RCLike.ofReal_im_ax, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, ContMDiffWithinAt.smul_section, Polynomial.differentiable, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, ContinuousLinearEquiv.coord_norm', HasFPowerSeriesOnBall.hasSum_sub, ContinuousLinearMap.nnnorm_id, fderivWithin_continuousAlternatingMap_apply, HasDerivAt.fun_inv, cfc_setIntegral', iteratedDerivWithin_comp_eq_sum_orderedFinpartition, absConvexHull_eq_convexHull_balancedHull, ContinuousLinearMap.IsStarProjection.isSymmetricProjection, Bundle.Trivial.symmₗ_trivialization, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, hasMFDerivAt_snd, hom_chart, ContinuousLinearMap.isPositive_zero, cfcₙ_setIntegral', div_le_egauge_closedBall, ContinuousLinearMap.toUniformConvergenceCLM_continuous, hasStrictFDerivAt_inv', LinearMap.support_singularValues, LinearMap.mem_span_iff_bound, uniqueMDiffWithinAt_iff_uniqueDiffWithinAt, hasFDerivAt_exp_smul_const_of_mem_ball', HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, ContinuousLinearMap.HasRightInverse.of_surjective_of_finiteDimensional, hasFDerivAtFilter_natCast, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', MDifferentiable.clm_apply, deriv_descPochhammer_eval_eq_sum_prod_range_erase, cfcₙ_apply_mem_elemental, HasStrictDerivAt.add_const, Module.Basis.ofZLatticeBasis_repr_apply, HasMFDerivAt.sum, Bornology.IsVonNBounded.smul_tendsto_zero, InnerProductSpace.Core.inner_self_im, intervalIntegral.integral_hasStrictDerivAt_right, LinearEquiv.extendOfIsometry_eq, 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, LinearMap.dualEmbedding_injective_of_separatingRight, MDifferentiableOn.smul_section, dist_algebraMap, LinearMap.isOpenMap_of_finiteDimensional, StrongDual.re_extendRCLike_apply, SchwartzMap.fourier_convolution_apply, Seminorm.smul_ball_zero, Asymptotics.isBigOTVS_map, iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, LinearIsometry.norm_toContinuousLinearMap_le, AffineSubspace.isometryEquivMap.apply_symm_apply, Submodule.starProjection_le_starProjection_iff, iteratedDerivWithin_vcomp_eq_sum_orderedFinpartition, iteratedFDerivWithin_zero_fun, WeakDual.isSeqCompact_of_isBounded_of_isClosed, RCLike.wInner_cWeight_const_right, HasStrictFDerivAt.mul, RCLike.inv_eq_conj, intervalIntegral.integral_hasStrictDerivAt_left, ContinuousLinearMap.analyticOnNhd, fderiv_fst, iter_deriv_inv_linear, Asymptotics.IsBigOTVS.neg_left, Irreducible.maximalIdeal_pow_eq_closedBall_pow, ContMDiffAt.clm_apply, ContinuousAlternatingMap.differentiable, WeakDual.toStrongDual_apply, gauge_smul, FormalMultilinearSeries.radius_rightInv_pos_of_radius_pos_aux2, hom_trivializationAt_apply, ContinuousLinearEquiv.uniqueDiffOn_image_iff, ContinuousMap.elemental_id_eq_top, ProbabilityTheory.multivariateGaussian_zero_one, LinearMap.eq_adjoint_iff_basis_right, MDifferentiable.clm_precomp, ContinuousLinearMap.hasMFDerivWithinAt, ContinuousLinearEquiv.nnnorm_symm_pos, InnerProductSpace.laplacian_smul_nhds, MDifferentiable.clm_comp, Submodule.instOrthogonalCompleteSpace, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ContDiffMapSupportedIn.fderivLM_apply_of_le, ContMDiff.clm_comp, Polynomial.isLittleO_atBot_of_degree_lt, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, IsSelfAdjoint.commute_cfcₙ, FormalMultilinearSeries.le_radius_pi, AEMeasurable.re, continuousMultilinearCurryLeftEquiv_symm_apply, WithLp.unitization_mul, hasDerivAt_exp_smul_const', DoubleCentralizer.instStarModule, fderivWithin_add, WeakDual.CharacterSpace.compContinuousMap_comp, HasStrictDerivAt.finset_prod, VectorBundleCore.localTriv.isLinear, instOrderIsoClassContinuousLinearMapIdOfNonUnitalAlgEquivClassOfStarHomClassOfContinuousMapClass, ContinuousMultilinearMap.smulRightL_apply, ContinuousLinearMap.contDiff, ContinuousLinearMap.instBorelSpace, LinearMap.isStarProjection_iff_isSymmetricProjection, LinearIsometryEquiv.toLinearEquiv_rTensor, norm_apply_le_norm_cfcₙ, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, ContinuousLinearMap.isUniformEmbedding_toUniformOnFun, iteratedDerivWithin_scomp_two, fderiv_csinh, ContinuousLinearMap.exists_mul_lt_of_lt_opNorm, Asymptotics.IsLittleOTVS.congr_right, HasStrictFDerivAt.fun_add, IsLocalMinOn.fderivWithin_nonneg, IsBoundedLinearMap.hasFDerivAt, ContinuousLinearMap.norm_snd_le, LinearMap.orthogonal_range, 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, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, LinearMap.singularValues_of_lt, hasStrictFDerivAt_const, FormalMultilinearSeries.summable_norm_mul_pow, ContinuousLinearMap.contMDiffOn, AntilipschitzWith.completeSpace_range_clm, AlternatingMap.bound_of_shell_of_norm_map_coord_zero, CovariantDerivative.torsion_apply_eq_extend, ContDiffMapSupportedIn.fderivLM_apply_of_gt, EuclideanSpace.restrict₂_apply, ModelWithCorners.coe_extChartAt_transContinuousLinearEquiv, Convex.norm_image_sub_le_of_norm_fderiv_le', HasDerivAt.hasDerivAtFilter, 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, IsBoundedLinearMap.hasFDerivWithinAt, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, ContinuousLinearMap.nnbound, range_cfcHom, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, RCLike.iInter_halfSpaces_eq', 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, Module.Basis.opNNNorm_le, integrableOn_cfc, ContDiffAt.continuousAt_iteratedFDeriv, ContMDiffWithinAt.clm_precomp, ZSpan.fract_apply, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, RCLike.continuous_im, IsLocalMin.fderiv_eq_zero, norm_iteratedFDerivWithin_fderivWithin, continuousOn_cfc, HasDerivAtFilter.comp, 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, HasStrictDerivAt.fun_add, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, ContinuousMultilinearMap.opNorm_le_iff, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, ModelWithCorners.uniqueDiffOn_extendCoordChange_target, LinearMap.IsSymmetric.re_trace_eq_sum_eigenvalues, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, hom_trivializationAt_baseSet, HasDerivAt.comp_of_eq, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, ContinuousLinearMap.mdifferentiableOn, RCLike.normSq_add, MeasureTheory.eLpNorm_condExpL2_le, Complex.integral_boundary_rect_of_differentiableOn_real, RCLike.div_re, ContinuousLinearMap.lsmul_flip_apply, iteratedFDeriv_sub_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, UniformOnFun.continuousSMul_submodule_of_image_bounded, LinearMap.antilipschitz_of_comap_nhds_le, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, ContinuousAlternatingMap.unit_le_opNorm, setIntegral_re_add_im, RCLike.geometric_hahn_banach_compact_closed, SchwartzMap.smulLeftCLM_ofReal, extDerivWithin_apply, norm_iteratedFDeriv_smul_le, ContDiffAt.differentiableAt_iteratedFDeriv, LinearMap.IsPositive.adjoint_eq, ContinuousAt.clm_bundle_apply, fderivWithin_zero_of_not_differentiableWithinAt, ContinuousLinearEquiv.comp_fderivWithin, ContinuousLinearMap.sSup_unitClosedBall_eq_norm, mem_tangentConeAt_iff_exists_seq_norm_tendsto_atTop, HasFDerivAtFilter.finCons, iteratedDeriv_vcomp_two, ContinuousLinearEquiv.coord_norm, ContinuousAlternatingMap.opNNNorm_le_iff, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, ContinuousOn.continuousOn_iteratedFDeriv, HasDerivAt.finset_prod, intervalIntegral.integral_hasDerivAt_left, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, Matrix.toEuclideanLin_eq_toLin_orthonormal, ContDiffOn.smulRight, IsBoundedBilinearMap.differentiable, LinearMap.isometryOfOrthonormal_toLinearMap, ContinuousLinearMap.opNorm_eq_of_bounds, MeasureTheory.lpMeasToLpTrim_smul, Submodule.starProjection_orthogonal_val, VectorField.lieBracketWithin_eq, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MDifferentiableOn.smul_section_of_tsupport, isStarProjection_iff_eq_starProjection, ContinuousAlternatingMap.liftCLM_apply, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, spectrum.hasDerivAt_resolvent_const_right, RCLike.geometric_hahn_banach_point_closed, LinearMap.IsSymmetricProjection.le_iff_range_le_range, SchauderBasis.RankOneDecomposition.proj_comp, ContinuousLinearMap.map_add₂, hasDerivWithinAt_intCast, ContMDiff.clm_precomp, VectorField.fderivWithin_apply_lieBracket, NormedSpace.expSeries_hasSum_exp_of_mem_ball', fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, VectorPrebundle.coordChange_apply, ContinuousMultilinearMap.norm_map_cons_le, ContinuousMultilinearMap.norm_smulRight, EuclideanGeometry.orthogonalProjection_apply, IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, hasFDerivAt_exp_zero_of_radius_pos, LinearMap.clmOfExistsBoundedImage_coe, LSeries_hasDerivAt, re_inner_eq_norm_add_mul_self_sub_norm_sub_mul_self_div_four, ContinuousLinearEquiv.continuousMultilinearMapCongrLeft_symm, Real.hasDerivAt_fourierIntegral, fderivWithin_fun_const_smul, Bundle.ContinuousLinearMap.memTrivializationAtlas, ContinuousMapZero.elemental_eq_top, ContMDiffOn.clm_prodMap, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, ContinuousAlternatingMap.bound, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, differentiableWithinAt_piLp, LinearIsometry.rTensor_apply, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, IsCompactOperator.isCompact_closure_image_ball, FormalMultilinearSeries.derivSeries_apply_diag, ContMDiffWithinAt.clm_comp, NormedSpace.polar_closedBall, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, Submodule.norm_orthogonalProjection, Seminorm.coe_iSup_eq, AnalyticAt.fderiv, HasDerivAt.conj_conj, Bundle.Prod.contMDiffVectorBundle, ContinuousLinearEquiv.differentiableWithinAt, ClosedSubmodule.symplComp_sup, fderiv_comp_smul, Submodule.instHasOrthogonalProjectionTop, iteratedFDeriv_clm_apply_const_apply, Asymptotics.IsLittleOTVS.add, 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, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn, VectorField.lieBracketWithin_const_smul_right, curveIntegral_add, EuclideanSpace.euclideanHausdorffMeasure_eq_volume, HasGradientAt.hasDerivAt, ContinuousLinearEquiv.symm_conjContinuousAlgEquiv, TensorProduct.nndist_tmul_le, ContinuousMultilinearMap.opNorm_le_bound, HasFTaylorSeriesUpTo.zero_eq', ContinuousLinearEquiv.analyticAt, Differentiable.continuousAlternatingMap_apply, InnerProductSpace.continuousLinearMapOfBilin_apply, ContinuousMultilinearMap.norm_def, NormedSpace.double_dual_bound, instFieldContMDiffRing, HasDerivAt.comp_ringHom, 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, Module.Basis.opNorm_le, isInvertible_mfderivWithin_extChartAt_symm, MeromorphicOn.fun_prod, ModelWithCorners.coe_transContinuousLinearEquiv_symm, fderivWithin_def, fun_meromorphicOrderAt_inv, 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, WithSeminorms.continuous_iff_continuous_comp, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, MeasureTheory.condExpIndSMul_ae_eq_smul, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.iteratedFDeriv_comp_right, norm_fderiv_le_of_lip', ContinuousLinearMap.rayleighQuotient_neg_apply, HasFDerivAtFilter.isEquivalent_sub, 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, LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous_symm, hasFDerivWithinAt_pow, gaugeSeminorm_lt_one_of_isOpen, Asymptotics.IsLittleOTVS.fun_add, PolynormableSpace.withSeminorms, contDiff_infty_iff_fderiv, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, hasFDerivWithinAt_iff_isLittleOTVS, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Asymptotics.isBigOTVS_prodMk_left, MeasureTheory.lpMeas.ae_fin_strongly_measurable', gaugeSeminormFamily_ball, spectralNorm_eq_of_equiv, curveIntegral_sub, cfcₙL_integrable, RCLike.sqrt_normSq_eq_norm, mdifferentiable_smul_section, Matrix.IsHermitian.charpoly_eq, HasFDerivWithinAt.mul', HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, 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, Module.Basis.norm_extends, hasStrictFDerivAt_pi'', LinearIsometryEquiv.integrable_comp_iff, range_derivWithin_subset_closure_span_image, ContinuousAlternatingMap.norm_compContinuousLinearMap_le, OpenPartialHomeomorph.hasStrictDerivAt_symm, integral_re, ContinuousLinearMap.finite_dimensional_eigenspace, ContinuousLinearMap.locallyIntegrableOn_comp, ContinuousLinearMap.precomp_uniformConvergenceCLM_apply, norm_iteratedFDeriv_zero, mfderiv_subtype_coe_Icc_one, hasDerivWithinAt_Ici_of_tendsto_deriv, spectrum.hasDerivAt_resolvent_const_left, ContinuousLinearMap.exists_nnnorm_eq_one_lt_apply_of_lt_opNNNorm, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, MDifferentiableWithinAt.smul, HasMFDerivWithinAt.comp, Complex.isometryOfOrthonormal_symm_apply, WithLp.unitizationAlgEquiv_apply, IsCovariantDerivativeOn.affine_combination, ContinuousLinearMap.postcompUniformConvergenceCLM_apply, HasStrictFDerivAt.implicitFunctionOfComplemented_apply_image, VectorField.lieBracket_smul_right, HasFDerivAtFilter.restrictScalars, RCLike.normSq_apply, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, ContinuousLinearMap.coeFn_ofSeqClosedGraph, LinearMap.self_comp_adjoint_injective_iff, CurveIntegrable.sub, HasFiniteFPowerSeriesOnBall.fderiv_eq, smul_closedBall, ContMDiffOn.smul, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, 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, TestFunction.lineDerivCLM_apply_of_gt, 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, intervalIntegral.integral_unitInterval_deriv_eq_sub, fderiv_fun_const, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, eventually_norm_trivializationAt_lt, TensorProduct.congrIsometry_apply, Submodule.starProjection_comp_starProjection_of_le, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', ConvexOn.exists_affine_le_of_lt, HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, contDiffOn_fderivWithin_apply, HasDerivWithinAt.comp_hasDerivAt, ModelWithCorners.uniqueDiffOn_preimage_source, MeasureTheory.integral_prod_smul, ContinuousLinearMap.toPointwiseConvergenceCLM_apply, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, isBoundedLinearMap_continuousMultilinearMap_comp_linear, IsCovariantDerivativeOn.torsion_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, innerSL_apply_coe, differentiableOn_finCons, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, fderivWithin_mul', ContinuousLinearMap.bound, hasStrictDerivAt_exp_smul_const_of_mem_ball, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, tendsto_algebraMap_cobounded, IsBoundedLinearMap.fderiv, ContMDiff.const_smul_section, ContinuousLinearMap.isPositive_one, HasDerivWithinAt.fun_sum, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, mdifferentiableAt_localFrame_coeff, ContinuousLinearMap.isPositive_sum, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Real.hasDerivAt_Gamma_nat, ordinaryHypergeometricSeries_norm_div_succ_norm, Matrix.IsHermitian.conjStarAlgAut_star_eigenvectorUnitary, HasStrictFDerivAt.inner, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, ZSpan.fract_eq_fract, HasMFDerivAt.comp, hasDerivAt_pi, ContinuousWithinAt.cfc, ContinuousLinearMap.toUniformConvergenceCLM_symm_apply, HasStrictDerivAt.hasStrictFDerivAt_equiv, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, re_inner_le_norm, LinearMap.IsSymmetric.iSup_eigenspace_inf_eigenspace_of_commute, Submodule.orthogonalProjection_comp_subtypeL_eq_zero_iff, HasDerivAt.of_notMem_tsupport, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, derivWithin_fun_inv', dist_algebraMap', integral_bilinear_fderiv_right_eq_neg_left_of_integrable, Meromorphic.fun_pow, hasFDerivAt_inv', LinearMap.toMatrix_adjoint, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, hasDerivWithinAt_finCons, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, DifferentiableAt.comp_semilinear₂, CFC.abs_smul, exists_continuousLinearEquiv_fderiv_symm_eq, RCLike.conj_smul, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, Seminorm.absorbent_ball, Meromorphic.smul, ContinuousLinearMapWOT.instContinuousLinearMapClass, TensorialAt.mkHom₂_apply_eq_extend, 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, Asymptotics.IsBigOTVS.mono, Asymptotics.IsLittleOTVS.proj, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, ContinuousLinearMap.integral_comp_comm, hasFDerivWithinAt_iff_tendsto, FormalMultilinearSeries.compAlongOrderedFinpartition_apply, ContDiffOn.differentiableOn_iteratedFDerivWithin, TensorProduct.nnnorm_lid, LinearMap.im_inner_adjoint_mul_self_eq_zero, NormedSpace.expSeries_summable_of_mem_ball', 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, Asymptotics.IsBigOTVS.trans, EuclideanGeometry.Sphere.secondInter_map, OrthogonalFamily.linearIsometry_apply, ContinuousMultilinearMap.le_opNNNorm, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Bornology.isVonNBounded_singleton, Matrix.toEuclideanLin_toLp, IsKrasner.of_completeSpace, nnnorm_cfcₙ_le, OrthogonalFamily.pairwise, LinearMap.IsSymmetric.toMatrix_eigenvectorBasis, ContinuousLinearMapWOT.continuous_dual_apply, integral_re_add_im, continuous_stereoInvFun, HasStrictDerivAt.neg, ContinuousLinearMap.iteratedFDeriv_comp_left, ContinuousLinearMap.isCompact_image_coe_of_bounded_of_weak_closed, Submodule.orthogonalProjection_eq_zero_iff, ContinuousLinearMap.holderL_apply_apply, StrongDual.mem_polar_singleton, FormalMultilinearSeries.comp_rightInv_aux2, ZSpan.coe_fract_self, HasFDerivAt.isEquivalent_sub, LeftInvariantDerivation.toFun_eq_coe, ContinuousMultilinearMap.opNorm_prod, ContMDiffOn.clm_bundle_apply, IsPicardLindelof.exists_forall_mem_closedBall_eq_forall_mem_Icc_hasDerivWithinAt, ZLattice.covolume.tendsto_card_div_pow'', Asymptotics.isLittleOTVS_insert, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, isClosedEmbedding_smul_left, MeasureTheory.condExpL1CLM_smul, isConformalMap_const_smul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, Subalgebra.SeparatesPoints.rclike_to_real, Complex.norm_fderiv_le_div_of_mapsTo_ball, norm_innerSL_le, MeromorphicAt.smul, AffineSubspace.subtypeₐᵢ_toAffineMap, VectorFourier.hasFDerivAt_fourierChar_smul, ContinuousLinearMap.HasLeftInverse.of_injective_of_isClosed_range_of_closedComplement_range, HasStrictFDerivAt.sub, OrthonormalBasis.measurePreserving_measurableEquiv, LinearEquiv.image_closure_of_convex', ContMDiffWithinAt.cle_arrowCongr, ContinuousLinearMap.isLeast_opNorm, fderiv_const_smul_of_field, ContinuousLinearEquiv.coe_ofBijective, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, ContinuousLinearMap.IsPositive.isSelfAdjoint, CStarAlgebra.exists_sum_four_unitary, HasLineDerivAt.smul, Submodule.orthogonalProjection_starProjection_of_le, GeneralSchauderBasis.proj_comp, OrthonormalBasis.sum_repr', WeakDual.isClosed_image_coe_of_bounded_of_closed, continuousMultilinearCurryRightEquiv_apply, Seminorm.convex_closedBall, RCLike.norm_le_im_iff_eq_I_mul_norm, RCLike.real_smul_eq_coe_mul, hasStrictFDerivAt_intCast, ContinuousLinearMap.integrableOn_comp, Submodule.coe_orthogonalProjection_apply, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, HasDerivAt.comp_add_const, Submodule.starProjection_coe_eq_isCompl_projection, IsLocalDiffeomorphAt.mfderivToContinuousLinearEquiv_coe, HasFDerivAt.neg, RCLike.ofReal_inv, Bornology.isVonNBounded_of_smul_tendsto_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, RCLike.ofRealAm_coe, meromorphicOrderAt_prod, RCLike.normSq_one, RCLike.re_to_complex, LinearMap.injective_iff_antilipschitz, ContinuousLinearEquiv.iteratedFDerivWithin_comp_left, ContinuousLinearMap.IsIdempotentElem.hasOrthogonalProjection_range, 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, UnconditionalSchauderBasis.exists_norm_proj_le, 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', fderivWithin_comp_smul, RCLike.hasSum_im, ContinuousLinearMap.orthogonal_mem_invtSubmodule, 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, HasFPowerSeriesAt.compContinuousLinearMap, ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, Asymptotics.IsBigOTVS.refl, Asymptotics.isTheta_const_smul_right, HasFDerivAt.star_star, fderivWithin_clm_apply, fderivWithin_fst, ContinuousLinearMap.postcomp_uniformConvergenceCLM_apply, exists_continuousLinearEquiv_fderivWithin_symm_eq, ContinuousLinearMap.instLocallyBoundedMapClass, HasStrictFDerivAt.implicitFunction_apply_image, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, hasDerivAt_of_tendsto_locally_uniformly_on', HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, ContinuousLinearMap.dist_le_opNorm, FormalMultilinearSeries.rightInv_coeff_one, hasFDerivAt_exp, ContinuousAlternatingMap.opNNNorm_prod, RCLike.isCauSeq_re, mfderivWithin_id, Pi.orthonormalBasis_repr, fderiv_continuousAlternatingMap_apply_const_apply, RCLike.hasSum_conj', Polynomial.hasDerivWithinAt, Matrix.PosDef.det_pos, ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, uniqueDiffWithinAt_extChartAt_target, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, InnerProductSpace.conj_inner_symm, RCLike.I_im', complexOfReal_derivWithin, ApproximatesLinearOn.lipschitzOnWith, Orthonormal.tmul, norm_fderiv_norm_id_rpow, MeasureTheory.lpMeas.ae_eq_zero_of_forall_setIntegral_eq_zero, ContinuousLinearMap.isBigOTVS_id, HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', LinearMap.IsPositive.adjoint_conj, LinearMap.tendsto_birkhoffAverage_of_ker_subset_closure, ContinuousLinearMap.norm_holder_apply_apply_le, upperHemicontinuous_spectrum, LinearMap.isPositive_one, ClosedSubmodule.symplComp_inf, RCLike.re_eq_self_of_le, mfderivWithin_sumSwap, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, AnalyticOnNhd.eval_mvPolynomial, Affine.Simplex.affineSpan_pair_eq_altitude_iff, ContinuousLinearMap.homothety_norm, hasDerivAt_conj_conj_iff, fderivWithin_sum, RKHS.posSemidef_kernel, absorbent_ball_zero, Asymptotics.IsBigOTVS.fst, ContinuousAlternatingMap.continuous_toContinuousMultilinearMap, Submodule.norm_subtypeL_le, range_cfc, ContinuousLinearMap.hasStrictDerivAt, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, fderiv_const_smul, hasFDerivAtFilter_pi', measurable_fderiv_apply_const_with_param, constFormalMultilinearSeries_apply_succ, fderivWithin_comp, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, mfderiv_prod_left, HasStrictFDerivAt.clm_comp, iteratedFDeriv_tsum_apply, Affine.Simplex.direction_altitude, LinearIsometryEquiv.symm_lTensor, 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, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.fpowerSeries_apply_one, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, continuousOn_clm_apply, logDeriv_pow, ContinuousLinearMapWOT.ContinuousLinearMap.continuous_toWOT, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, SchwartzMap.one_add_le_sup_seminorm_apply, Submodule.exists_norm_eq_iInf_of_complete_subspace, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, MDifferentiableWithinAt.clm_prodMap, HasFDerivAt.fun_mul', Seminorm.continuous_iff_continuous_comp, ContMDiffAt.clm_comp, spectrum.mem_resolventSet_of_spectralRadius_lt, constFormalMultilinearSeries_zero, Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, HasStrictFDerivAt.continuousMultilinearMap_apply, ValueDistribution.logCounting_inv, ContinuousMultilinearMap.instIsTopologicalAddGroup, Asymptotics.IsBigO.isBigOTVS, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, LinearPMap.adjointAux_inner, HasStrictFDerivAt.mul_const, Asymptotics.isLittleOTVS_neg_left, ContDiffBump.convolution_tendsto_right_of_continuous, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, 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, ContDiffAt.smulRight, 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, Absorbent.subset_range_iff_surjective, FormalMultilinearSeries.changeOriginSeriesTerm_bound, NumberField.InfinitePlace.Completion.liesOver_conjugate_extensionEmbedding, MultilinearMap.mkContinuous_norm_le', HasDerivWithinAt.sum, spectrum.subset_circle_of_unitary, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, LinearMap.IsSymmetric.hasEigenvector_eigenvectorBasis, VectorBundleCore.coordChange_comp, spectrum.subset_closedBall_norm, IsKrasner.krasner, SchwartzMap.denseRange_toLpCLM, UniformConvergenceCLM.isUniformInducing_postcomp, Asymptotics.IsLittleOTVS.of_tendsto_div, 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, mdifferentiableWithinAt_hom_bundle, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, SchwartzMap.integrable_pow_mul_iteratedFDeriv, FormalMultilinearSeries.radius_eq_liminf, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, HasFTaylorSeriesUpToOn.restrictScalars, HasDerivAtFilter.neg, 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, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, ContinuousLinearMap.map_smulₛₗ₂, CurveIntegrable.add, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, fderivWithin_restrictScalars_comp, OpenPartialHomeomorph.hasFDerivAt_symm, ContinuousMultilinearMap.norm_image_sub_le', hasFPowerSeriesAt_iff', hasFDerivAt_tsum_of_isPreconnected, LinearMap.canLiftContinuousLinearMap, LinearIsometryEquiv.differentiableOn, RCLike.geometric_hahn_banach_closed_compact, MeasureTheory.eLpNorm_conj, fderivWithin_fun_sum, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, ContinuousLinearMapWOT.tendsto_iff_forall_dual_apply_tendsto, ContinuousOn.clm_bundle_apply, inner_gradient_right, hasDerivAt_exp_smul_const_of_mem_ball, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, Real.fourierIntegral_iteratedFDeriv, Orthonormal.equiv_apply, NonUnitalCStarAlgebra.toSMulCommClass, Submodule.orthogonalProjection_norm_le, Bundle.Trivialization.coe_continuousLinearEquivAt_eq', HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, Matrix.PosDef.posDef_sqrt, Function.HasTemperateGrowth.isBigO_uniform, differentiableOn_snd, norm_cfcₙ_le_iff, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, LinearMap.ker_le_ker_of_range, iteratedFDerivWithin_zero_apply, EuclideanSpace.volume_closedBall, derivWithin_clm_apply, GeneralSchauderBasis.linearIndependent, FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius, fderiv_single, hom_trivializationAt_target, RCLike.intCast_im, ContinuousMap.idealOfSet_ofIdeal_eq_closure, SchwartzMap.fourierMultiplierCLM_smul, finrank_euclideanSpace_fin, ZLattice.comap_span_top, Submodule.orthogonalProjection_orthogonal, Set.Finite.isVonNBounded, coe_algEquiv_lpBCF, inner_conj_symm, ContinuousLinearEquiv.arrowCongrSL_toLinearEquiv_symm_apply, HasStrictDerivAt.congr_of_eventuallyEq, le_egauge_closedBall_one, hasFDerivAt_list_prod_attach', MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, LinearIsometryEquiv.rTensor_def, MeasureTheory.norm_condExpL2_le_one, ContinuousLinearEquiv.mdifferentiableAt, MDifferentiableWithinAt.clm_apply, 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, SchauderBasis.RankOneDecomposition.e_mem_range, Asymptotics.isBigOTVS_comm, DifferentiableAt.lineDeriv_eq_fderiv, OrthonormalBasis.repr_reindex, HasDerivAt.comp_semilinear, ContinuousLinearEquiv.conjContinuousAlgEquiv_apply_apply, MeasureTheory.condExpL2_comp_continuousLinearMap, inner_im_symm, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, InnerProductSpace.symm_toEuclideanLin_rankOne, FormalMultilinearSeries.ofScalars_norm_eq_mul, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, HasDerivAt.comp_sub_const, CFC.log_smul, inCoordinates_tangent_bundle_core_model_space, isOpen_setOf_linearIndependent, NormedSpace.expSeries_hasSum_exp_of_mem_ball, LinearIsometryEquiv.differentiableWithinAt, ContinuousOn.continuousLinearMapCoprod, ContMDiffAt.cle_arrowCongr, VectorBundle.prod, AnalyticOnNhd.eval_continuousLinearMap, hasStrictFDerivAt_pi, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, Submodule.isOrtho_sup_left, HasDerivWithinAt.comp_hasFDerivAt_of_eq, MeasureTheory.memLp_re_im_iff, HasFDerivAt.clm_comp, ContinuousLinearMap.adjoint_innerSL_apply, ZLattice.coe_comap, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, gaugeSeminorm_toFun, Submodule.IsOrtho.comap, hasFDerivAt_iff_isLittleO_nhds_zero, Asymptotics.isLittleOTVS_pi, OrthogonalFamily.inner_right_fintype, ContinuousLinearMap.isQuotientMap, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, Asymptotics.isLittleO_pow_pow_atTop_of_lt, ContDiffMapSupportedIn.structureMapLM_apply, fderiv_tsum_apply, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, binomialSeries_radius_ge_one, HasDerivWithinAt.iterate, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, RCLike.normSq_sub, ContinuousLinearMap.coprodEquivL_symm_apply, VectorPrebundle.contMDiffCoordChange_apply, isBoundedLinearMap_prod_multilinear, nndist_homothety_self, fderivWithin_fun_mul, ContinuousOn.prod_map_equivL, 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_of_hasDerivAt_of_continuousAt, 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, MeromorphicAt.finprod, HasFiniteFPowerSeriesAt.comp, ContinuousMap.idealOfSet_isMaximal_iff, MeromorphicOn.finprod, ContinuousLinearMap.integral_id_map, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, balancedHull_convexHull_subseteq_absConvexHull, Unitary.path_apply, curveIntegrable_restrictScalars_iff, ContDiffAt.hasStrictDerivAt', LinearMap.IsSymmetric.intCast, Valued.integer.exists_norm_coe_lt_one, IsCoercive.isClosed_range, ZSpan.ceil_eq_self_of_mem, ContinuousLinearMap.toWOT_apply, Unitary.spectrum_subset_circle, contMDiffWithinAt_hom_bundle, HasDerivAt.star_conj, LinearMap.bound_of_ball_bound, Bornology.IsVonNBounded.insert, TensorProduct.ext_iff_inner_right_threefold, mem_contMDiffFiberwiseLinear_iff, curveIntegralFun_def, Submodule.coe_prodEquivOfClosedCompl, InnerProductSpaceable.inner_.conj_symm, Seminorm.continuousAt_zero, ftaylorSeriesWithin_fun_zero, 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, SchauderBasis.sum_succSub, DoubleCentralizer.coe_snd, ContinuousMultilinearMap.fin0_apply_norm, ContinuousLinearMap.opNorm_le_bound₂, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, HasStrictFDerivAt.mem_implicitToOpenPartialHomeomorph_source, MeasureTheory.integral_convolution, ContinuousLinearMap.le_opNorm_enorm, HasFPowerSeriesOnBall.iteratedFDeriv_eq_sum, HasStrictFDerivAt.eq_implicitFunction, fderiv_norm_sq_apply, Submodule.starProjection_eq_self_iff, IsSelfAdjoint.commute_cfc, RCLike.imCLM_apply, fderiv_sin, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, LinearMap.IsSymmetric.sort_roots_charpoly_eq_eigenvalues, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, RCLike.conj_neg_I, ContinuousMultilinearMap.norm_curryMid, AlternatingMap.mkContinuous_norm_le', ConvexOn.univ_sSup_of_nat_affine_eq, cfc_setIntegral, ContinuousLinearEquiv.comp_right_differentiable_iff, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, ContinuousAlternatingMap.ratio_le_opNorm, ContinuousMultilinearMap.norm_mkPiAlgebraFin, RCLike.inv_I, ContinuousMultilinearMap.isUniformEmbedding_restrictScalars, hasDerivAt_of_tendstoUniformlyOnFilter, TensorProduct.assocIsometry_symm_apply, Submodule.starProjection_tendsto_closure_iSup, hasFDerivAt_exp_of_mem_ball, InnerProductSpace.Core.inner_conj_symm, LinearMap.exists_map_addHaar_eq_smul_addHaar', InnerProductSpace.gramSchmidt_mem_span, iteratedFDerivWithin_add_apply', MeasureTheory.Measure.euclideanHausdorffMeasure_def, ModelWithCorners.uniqueDiffOn, norm_iteratedFDeriv_fderiv, Submodule.reflection_mem_subspace_orthogonalComplement_eq_neg, NormedSpace.dual_def, SchwartzMap.laplacian_eq_fourierMultiplierCLM, LinearMap.IsSymmetric.add, HasFDerivAtFilter.hasDerivAtFilter, Asymptotics.IsBigOTVS.pi, HasFDerivAt.isLittleOTVS, HasDerivAt.inv, TensorProduct.inner_map_map, RCLike.geometric_hahn_banach_open_open, RCLike.lipschitzWith_im, const_smul_mfderiv, fderiv_norm_sq, ContinuousLinearMap.opNorm_le_of_lipschitz, Filter.EventuallyEq.hasDerivAtFilter_iff, instProperSpaceSubtypeMemSubmoduleOfCompleteSpaceOfLocallyCompactSpace, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, ContinuousMap.idealOpensGI_choice, AlternatingMap.norm_map_coord_zero, HasMFDerivAt.const_smul, LinearMap.IsPositive.toLinearMap_symm, HasDerivAtFilter.fun_sum, IsCovariantDerivativeOn.finite_affine_combination, 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', MDifferentiableOn.clm_bundle_apply₂, Seminorm.sSup_apply, UniqueDiffWithinAt.of_real, orthonormal_span, norm_cfc_lt, ContinuousMultilinearMap.continuous_restrictScalars, OrthogonalFamily.projection_directSum_coeAddHom, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, ApproximatesLinearOn.to_inv, conformalAt_iff', TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.instStarOrderedRingRCLike, surjective_stereographic, ContinuousLinearMap.mdifferentiableAt, ContinuousLinearMap.toSesqForm_apply_norm_le, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, hasDerivAt_abs_pos, ContinuousAlternatingMap.instContinuousEvalConst, PiTensorProduct.injectiveSeminorm_def, ContinuousLinearMap.coeFn_holder, Polynomial.div_tendsto_atBot_of_degree_gt', ContDiffMapSupportedIn.structureMapLM_eq, hasStrictFDerivAt_id, HilbertBasis.hasSum_repr_symm, ContinuousAlternatingMap.norm_image_sub_le, ContMDiff.cle_arrowCongr, hasStrictFDerivAt_sub_const, ContinuousLinearMap.coe_deriv₂, IsMIntegralCurveAt.eventually_hasDerivAt, ContinuousLinearEquiv.symm_conjContinuousAlgEquiv_apply_apply, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, hasFDerivAt_stereoInvFunAux_comp_coe, ContMDiffOn.clm_bundle_apply₂, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, LinearMap.adjoint_id, inner_smul_left, contDiff_succ_iff_hasFDerivAt, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, integral_im, ContinuousWithinAt.clm_bundle_apply, fun_meromorphicOrderAt_pow, extDeriv_apply, cfc_integral', mfderiv_prod_eq_add_apply, MeasureTheory.condExpL2_indicator_nonneg, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, NumberField.mixedEmbedding.convexBodyLT'_convex, Seminorm.cont_normedSpace_to_withSeminorms, Submodule.coe_prodEquivOfClosedCompl_symm, selfAdjoint.expUnitary_coe, fderivWithin_mul, DoubleCentralizer.add_toProd, HasDerivWithinAt.fun_inv, Continuous.prod_mapL, MeasureTheory.ae_comp_linearMap_mem_iff, HasDerivWithinAt.finCons, HasStrictDerivAt.clm_apply, HasFDerivWithinAt.sum, TemperedDistribution.smulLeftCLM_apply_apply, HasDerivAt.congr_deriv, IsCompactOperator.isCompact_closure_image_closedBall, HasDerivAt.tendsto_slope_zero_right, HasFDerivWithinAt.isLittleO, ContinuousLinearMap.closure_preimage, IsSymmSndFDerivWithinAt.iteratedFDerivWithin_cons, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, RCLike.im_le_norm, Complex.continuousOn_one_add_mul_inv, hasFDerivAt_pi, mfderivWithin_comp, ContinuousLinearMap.is_weak_closed_closedBall, ContinuousLinearMap.opNorm_le_of_re_inner_le, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, differentiableOn_fst, ContinuousLinearMap.hasDerivAt_of_bilinear, DirectSum.IsInternal.subordinateOrthonormalBasisIndex_def, hasFDerivWithinAt_snd, IsCompactOperator.isCompact_closure_image_of_isVonNBounded, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, HasFDerivAt.comp_hasDerivAt_of_eq, IsBoundedLinearMap.isLinearMap_and_continuous_iff_isBoundedLinearMap, ContMDiff.coordChangeL, GeneralSchauderBasis.finrank_range_proj, VectorField.lieBracketWithin_const_smul_left, differentiableWithinAt_finCons, fderiv_const_apply, FormalMultilinearSeries.ofScalars_norm, ContinuousMultilinearMap.norm_ofSubsingleton_id, Affine.Simplex.altitude_def, HasFDerivWithinAt.fun_mul, hasFTaylorSeriesUpToOn_pi, RCLike.normSq_conj, IsBoundedBilinearMap.differentiableWithinAt, HasDerivAtFilter.const_sub, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, ContDiffWithinAt.fderivWithin_right, ContinuousLinearMap.LinearMap.IsSymmetricProjection.isStarProjection, 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, ContinuousAlternatingMap.le_of_opNNNorm_le, hasFDerivWithinAt_apply, SeminormFamily.basisSets_smul_left, InnerProductSpace.norm_rankOne, cfc_mem, HasFDerivAt.fun_sub, Complex.hasDerivAt_Gamma_nat, hasFDerivAt_integral_of_dominated_loc_of_lip, ContMDiffMap.coeFnLinearMap_apply, Submodule.isHilbertSumOrthogonal, RCLike.inv_re, DoubleCentralizer.neg_fst, PiTensorProduct.mapLMultilinear_toFun_apply, VectorField.mlieBracket_smul_right, HasDerivAtFilter.fun_const_smul, LinearMap.singularValues_eq_zero_iff_le_finrank_range, HasFiniteFPowerSeriesOnBall.fderiv, ContinuousLinearEquiv.norm_pos, HasFDerivAt.comp, real_inner_I_smul_self, LinearIsometry.lTensor_def, iteratedDerivWithin_vcomp_three, Matrix.PosDef.re_dotProduct_pos, HasFDerivWithinAt.uniqueDiffWithinAt_of_continuousLinearEquiv, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, Orthonormal.inner_right_sum, ContinuousLinearMap.antilipschitz_of_forall_le_inner_map, MDifferentiableAt.clm_apply, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, HasFDerivAt.isLittleO, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, TensorProduct.edist_tmul_le, quasispectrum.instCompactSpace, fderiv_eq_smul_deriv, unitary.inner_map_map, HasMFDerivWithinAt.mfderivWithin_eq_zero, LinearMap.IsPositive.conj_adjoint, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, LinearMap.ker_toContinuousLinearMap, Valued.integer.norm_irreducible_pos, LinearMap.continuousAt_zero_of_locally_bounded, ZLattice.comap_refl, hasStrictFDerivAt_exp_smul_const_of_mem_ball, RCLike.norm_nnqsmul, ContinuousAlternatingMap.le_opNorm_mul_prod_of_le, LinearMap.IsSymmetric.pow, hasFDerivAt_prodMk_right, DoubleCentralizer.toProdMulOppositeHom_apply, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, ContinuousLinearMap.coeFn_compLp', LinearMap.withSeminorms_induced, MeasureTheory.AEStronglyMeasurable.apply_continuousLinearMap, Seminorm.uniformity_eq_of_hasBasis, Polynomial.isBigO_atTop_of_degree_le, ContinuousLinearEquiv.mfderivWithin_eq, LinearMap.IsSymmetric.orthogonalComplement_mem_invtSubmodule, ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap, MDifferentiableWithinAt.smul_section, ContMDiffOn.smul_section, curveIntegralFun_zero, MeasureTheory.Integrable.im, LinearMap.IsSymmetric.eigenvalues_eq_eigenvalues_iff, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, contMDiffOn_iff_localFrame_coeff, AnalyticWithinAt.exists_hasFTaylorSeriesUpToOn, iteratedFDeriv_add_apply', hasFDerivAtFilter_intCast, iteratedFDeriv_succ_apply_left, ContDiffWithinAt.fderivWithin_apply, 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, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, ContinuousLinearMapWOT.zero_apply, HasFDerivWithinAt.list_prod', HasFDerivAt.continuousMultilinearMap_apply, QuadraticMap.hasLineDerivAt, HasStrictFDerivAt.snd, RCLike.zero_im, fderiv_inv', MultilinearMap.norm_map_coord_zero, ContinuousLinearEquiv.contDiff, ContinuousLinearMapWOT.ext_inner_iff, ContinuousLinearMap.coeFn_ofIsClosedGraph, cfcₙ_integral', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, 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, HasStrictDerivAt.star, 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, fderivWithin_pow', ContinuousLinearEquiv.ofBijective_apply_symm_apply, continuousMultilinearCurryFin1_apply, LinearMap.IsSymmetric.eigenvectorBasis_def, IsCoercive.antilipschitz, PiLp.hasStrictFDerivAt_toLp, LinearMap.card_support_singularValues, LeftInvariantDerivation.evalAt_apply, LineDifferentiableAt.smul, LinearMap.IsSymmetric.apply_clm, hasFDerivWithinAt_id, Orthonormal.comp_linearIsometry, hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, unitary.linearIsometryEquiv_coe_apply, TensorialAt.smul, HilbertBasis.finite_spans_dense, nnnorm_cfcₙ_lt, mfderiv_id, LinearMap.IsSymmetric.mul_of_commute, HasStrictDerivAt.fun_pow, norm_iteratedFDeriv_clm_apply_const, LinearIsometry.adjoint_comp_self, mfderivWithin_comp_of_eq
|
toMetricSpace 📖 | CompOp | 210 mathmath: cfc_realPart, integrableOn_cfcₙ', continuous_cfcₙHomSuperset_left, cfcₙL_integral, norm_cfcₙHom, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, IsSelfAdjoint.commute_cfcHom, cfcₙ_norm_nonneg, ContinuousWithinAt.cfcₙ, cfcₙHom_apply_mem_elemental, cfc_im_id, CFC.monotoneOn_one_sub_one_add_inv, Filter.Tendsto.cfc, cfc_mem_elemental, nnnorm_cfc_lt, CFC.monotone_nnrpow, CFC.tendsto_cfc_rpow_sub_one_log, integrableOn_cfc', unique_topology_of_t2, NumberField.InfinitePlace.isometry_embedding, Unitization.real_cfcₙ_eq_cfc_inr, 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, cfcHom_mem_elemental, cfcₙHom_mem_elemental, Continuous.cfc', RCLike.nonUnitalContinuousFunctionalCalculus, cfcₙ_integral, cfcₙ_setIntegral, Unitization.sqrt_inr, cfcL_integrable, Complex.isometry_conj, WithAbs.isometry_of_comp, ContinuousOn.cfc, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, WithAbs.uniformSpace_comap_eq_of_comp, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, UnitAddTorus.mFourierCoeff_toLp, range_cfcₙHom, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, norm_cfcₙ_lt, range_cfc_subset, IsGreatest.norm_cfcₙ, cfcₙ_re_id, 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, cfcₙ_mem_elemental, Complex.antilipschitz_equivRealProd, Complex.isometry_ofReal, cfcHom_integral, nnnorm_apply_le_nnnorm_cfcₙ, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, cfcₙ_real_eq_complex, IsometricContinuousFunctionalCalculus.toNonUnital, cfcₙ_comp_re, algebraMap_isometry, cfc_comp_im, 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, cfcₙ_comp_im, Commute.cfcₙHom, cfcHom_real_eq_restrict, dist_eq, range_cfcₙHom_le, CFC.log_monotoneOn, RCLike.toCompleteSpace, Filter.Tendsto.cfcₙ, fourierCoeff_toLp, Convex.lipschitzOnWith_of_nnnorm_hasDerivWithin_le, CFC.monotone_rpow, inr_comp_cfcₙHom_eq_cfcₙAux, CFC.monotoneOn_one_sub_one_add_inv_real, nnnorm_cfc_le_iff, continuous_cfcHomSuperset_left, Continuous.cfc_of_mem_nhdsSet, Matrix.l2_opNNNorm_def, cfc_integral, RCLike.lipschitzWith_re, cfcₙ_imaginaryPart, CFC.rpow_le_rpow, cfc_comp_re, ContinuousOn.cfc_of_mem_nhdsSet, cfcₙ_mem, selfAdjoint.star_coe_unitarySelfAddISMul, CStarAlgebra.rpow_neg_one_le_rpow_neg_one, cfcₙ_im_id, integrableOn_cfcₙ, norm_cfcₙ_le, integrable_cfcₙ', nnnorm_cfc_le, NumberField.InfinitePlace.isometry_embedding_of_isReal, Unitization.nnreal_cfcₙ_eq_cfc_inr, 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, range_cfcₙ_subset, nnnorm_cfcₙHom, ContinuousOn.cfcₙ, CFC.nnrpow_le_nnrpow, 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, CStarAlgebra.rpow_neg_one_le_one, range_cfcHom_le, Continuous.cfcₙ', ContinuousOn.cfc', cfcₙ_norm_sq_nonneg, Matrix.toLin_finTwoProd_toContinuousLinearMap, CFC.monotone_sqrt, Commute.cfcₙ, ContinuousAt.cfcₙ, nnnorm_cfcₙ_le_iff, WithAbs.pseudoMetricSpace_induced_of_comp, norm_cfcₙ_one_sub_one_add_inv_lt_one, 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, CFC.log_le_log, CFC.sqrt_le_sqrt, norm_apply_le_norm_cfc, MeasureTheory.BoundedContinuousFunction.inner_toLp, cfc_re_id, integrable_cfc, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, norm_cfcHom, cfcₙ_realPart, 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, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, lipschitzWith_lineMap, Unitization.lipschitzWith_addEquiv, cfcₙL_integrable, IsStarNormal.instIsometricContinuousFunctionalCalculus, Unitary.argSelfAdjoint_coe, ContinuousWithinAt.cfc, MeasureTheory.ContinuousMap.inner_toLp, NumberField.InfinitePlace.LiesOver.isometry_algebraMap, 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.conjugate_rpow_neg_one_half, CFC.complex_exp_eq_normedSpace_exp, le_iff_norm_sqrt_mul_rpow, cfcₙ_complex_eq_real, IsSelfAdjoint.commute_cfc, cfcHom_apply_mem_elemental, cfc_setIntegral, RCLike.lipschitzWith_im, ContinuousMap.idealOpensGI_choice, norm_cfc_lt, cfc_integral', cfc_mem, Convex.lipschitzOnWith_of_nnnorm_derivWithin_le, Complex.isometry_intCast, le_iff_norm_sqrt_mul_sqrt_inv, cfcₙ_integral', cfc_imaginaryPart, nnnorm_cfcₙ_lt
|
toNorm 📖 | CompOp | 313 mathmath: Convex.norm_image_sub_le_of_norm_derivWithin_le, HasDerivAt.isLittleO, 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, Asymptotics.IsTheta.const_mul_left, 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, PadicComplex.norm_eq_norm, EuclideanSpace.norm_sq_eq, StrongDual.norm_extendRCLike_bound, NumberField.FinitePlace.norm_def', hasDerivWithinAt_iff_isLittleO, RCLike.abs_im_div_norm_le_one, exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensional, 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, rescale_to_shell_semi_normed_zpow, FDerivMeasurableAux.norm_sub_le_of_mem_A, Module.Dual.norm_extendRCLike_apply_sq, Polynomial.exists_aroots_norm_sub_lt_of_norm_coeff_sub_lt, denselyOrdered_range_norm, Seminorm.ball_norm_mul_subset, DirichletCharacter.unit_norm_eq_one, hasGradientAtFilter_iff_isLittleO, hasGradientAt_iff_isLittleO, InnerProductSpace.Core.norm_inner_symm, NumberField.FinitePlace.norm_embedding, Polynomial.coeff_le_of_roots_le, RCLike.norm_ofNat, IsGreatest.norm_cfcₙ, norm_inner_eq_norm_iff, cfcₙ_comp_norm, HasDerivAtFilter.isBigO_sub_rev, Asymptotics.IsTheta.finsetProd, NormedSpace.toNormSMulClass, UpperHalfPlane.zero_form_isBoundedAtImInfty, PadicAlgCl.norm_extends, IsGreatest.norm_cfc, gauge_norm_smul, InnerProductSpace.Core.cauchy_schwarz_aux, Asymptotics.IsTheta.div, RCLike.conj_mul, dist_lineMap_left, Seminorm.rescale_to_shell_zpow, Seminorm.smul_closedBall_zero, 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, NormedSpace.polar_ball_subset_closedBall_div, Orthonormal.inner_products_summable, Asymptotics.IsLittleO.multisetProd, NumberField.FinitePlace.norm_lt_one_iff_mem, RCLike.exists_norm_eq_mul_self, NormedAlgebra.norm_eq_spectralNorm, Asymptotics.IsLittleO.of_tendsto_div_atBot, HasDerivAt.isBigO_sub, AffineIsometryEquiv.dist_pointReflection_self, dist_right_pointReflection, norm_cfcₙ_lt_iff, FormalMultilinearSeries.ofScalars_norm_le, Polynomial.isBigO_atBot_of_degree_le, smul_sphere, Asymptotics.IsTheta.of_const_mul_right, dist_lineMap_right, RCLike.sqrt_eq_real_add_ite, rescale_to_shell, PadicAlgCl.spectralNorm_eq, NumberField.FinitePlace.IsDedekindDomain.HeightOneSpectrum.embedding_mul_absNorm, PadicComplex.norm_extends', NumberField.FinitePlace.IsDedekindDomain.HeightOneSpectrum.equivHeightOneSpectrum_symm_apply, Polynomial.isBigO_of_degree_le, dist_eq, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, RCLike.norm_le_re_iff_eq_norm, PadicComplex.isNonarchimedean, rescale_to_shell_semi_normed, CFC.abs_algebraMap, LinearMap.bound_of_ball_bound', RCLike.abs_im_le_norm, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, dist_homothety_self, Unitization.norm_eq_sup, summable_pow_div_add, hasDerivAtFilter_iff_isLittleO, OrthonormalBasis.det_to_matrix_orthonormalBasis, norm_inner_eq_norm_tfae, MeasureTheory.isTightMeasureSet_range_iff_tendsto_limsup_inner, dist_self_homothety, Valued.toNormedField.norm_le_iff, NumberField.HeightOneSpectrum.embedding_mul_absNorm, InnerProductSpace.Core.norm_inner_le_norm, Polynomial.exists_roots_norm_sub_lt_of_norm_coeff_sub_lt, Asymptotics.superpolynomialDecay_iff_isLittleO, HasDerivAtFilter.isBigO_sub, RCLike.norm_wInner_le, HasGradientAtFilter.isBigO_sub, RCLike.norm_im_le_norm, NormedAlgebra.toMulAlgebraNorm_apply, NumberField.FinitePlace.equivHeightOneSpectrum_symm_apply, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, LinearMap.norm_extendTo𝕜'_apply_sq, OrthonormalBasis.sum_sq_norm_inner_left, RCLike.exists_norm_mul_eq_self, NumberField.FinitePlace.norm_def_int, Asymptotics.IsTheta.multisetProd, ContinuousLinearMap.norm_extendTo𝕜'_bound, exists_lt_norm, hasGradientAt_iff_tendsto, Asymptotics.IsBigO.trans_tendsto_norm_atTop, WithLp.unitization_norm_def, EuclideanSpace.norm_eq, RCLike.isCauSeq_norm, norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul, Asymptotics.IsBigO.multisetProd, RCLike.isCauSeq_im, dist_homothety_center, Unitization.norm_def, Asymptotics.IsBigO.finsetProd, Valued.toNormedField.one_lt_norm_iff, CauSeq.cauchySeq, Asymptotics.superpolynomialDecay_iff_isBigO, Valued.isNonarchimedean_norm, Asymptotics.isTheta_const_mul_right, PadicComplex.norm_eq_norm', 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, Asymptotics.IsTheta.listProd, 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, Asymptotics.IsTheta.pow, 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, Asymptotics.IsTheta.inv, PadicAlgCl.valuation_coe, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, cfc_comp_norm, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, Asymptotics.IsTheta.zpow, NumberField.Embeddings.coeff_bdd_of_norm_le, IsometricContinuousFunctionalCalculus.norm_spectrum_le, RCLike.norm_two, spectralNorm.spectralNorm_eq_norm_coeff_zero_rpow, RCLike.norm_sq_re_conj_add, NontriviallyNormedField.non_trivial, Asymptotics.IsTheta.of_const_mul_left, exists_one_lt_norm, Seminorm.rescale_to_shell, RCLike.inv_def, CFC.quasispectrum_abs, RCLike.norm_nnratCast, rescale_to_shell_zpow, 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, PiTensorProduct.projectiveSeminorm_smul_le, Seminorm.smul_closedBall_preimage, RCLike.norm_sq_eq_def, NumberField.FinitePlace.norm_eq_one_iff_notMem, RCLike.mul_self_norm, Valued.toNormedField.norm_def, inner_mul_symm_re_eq_norm, PadicComplex.norm_extends, Polynomial.exists_monic_and_natDegree_eq_and_norm_map_algebraMap_coeff_sub_lt, RCLike.norm_coe_norm, Valued.integer.mem_iff, Polynomial.coeff_bdd_of_roots_le, smul_ball, Seminorm.smul_ball_preimage, HasDerivWithinAt.isLittleO, LinearMap.bound_of_sphere_bound, 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, Asymptotics.IsLittleO.finsetProd, 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, NumberField.InfiniteAdeleRing.norm_def, 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, WeakDual.seminormFamily_apply, RCLike.sqrt_normSq_eq_norm, NumberField.FinitePlace.norm_embedding', 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.mul, 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, NumberField.FinitePlace.norm_embedding_int, 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, Asymptotics.IsTheta.const_mul_right, 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
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toNormedCommRing 📖 | CompOp | 6197 mathmath: ArithmeticFunction.vonMangoldt.residueClass_eq, withSeminorms_iff_mem_nhds_isVonNBounded, SchwartzMap.norm_toLp_le_seminorm, Polynomial.fderiv, logDeriv_tprod_eq_tsum, Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.det_toContinuousLinearMap, HasDerivAt.fun_neg, ValueDistribution.logCounting_zero, instSeparatingDual, hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, ContMDiffAt.coordChangeL, HurwitzZeta.hasSum_int_hurwitzZetaOdd, Convex.norm_image_sub_le_of_norm_derivWithin_le, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, TensorProduct.mapInclIsometry_apply, LinearMap.IsSymmetric.clm_adjoint_eq, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, Real.hasDerivAt_arccos, DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply, 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, IsKrasner.of_completeSpace_of_normal, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Orientation.kahler_map_complex, Polynomial.differentiableWithinAt, RCLike.sqrt_eq_ite, MeasureTheory.convolution_flip, fun_meromorphicOrderAt_pow_id_sub_const, HasStrictDerivAt.fun_pow', DifferentiableOn.zpow, FormalMultilinearSeries.comp_rightInv_aux1, integrableOn_cfcₙ', tendsto_zero_iff_meromorphicOrderAt_pos, AnalyticAt.tendsto_mul_logDeriv_simple_zero, MDifferentiable.coordChangeL, UpperHalfPlane.mdifferentiable_num, hasSum_mellin_pi_mul_sq', Complex.cos_eq_tsum, Unitization.isometry_inr, ContinuousAt.inner, isConformalMap_conj, LinearMap.mkContinuous₂_norm_le', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, HasDerivWithinAt.clog_real, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, ContinuousLinearMap.derivWithin_of_bilinear, HasDerivWithinAt.clm_comp, 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, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, meromorphicNFOn_mul_iff_right_of_analyticOnNhd, differentiableAt_comp_neg, continuous_cfcₙHomSuperset_left, continuousAt_const_cpow, hasDerivWithinAt_Iio_iff_Iic, cfcₙL_integral, HasDerivAt.ccos, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, LinearMap.mkContinuous₂_apply, Matrix.frobenius_nnnorm_mul, ZMod.differentiableAt_LFunction, 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, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, Complex.norm_circleTransformBoundingFunction_le, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, ModularForm.smul_slash, MeasureTheory.condExpL1_smul, Seminorm.absorbent_closedBall_zero, AffineIsometry.image_intrinsicClosure, HasDerivAt.const_rpow, Submodule.IsCompl.projection_isSymmetricProjection_iff, Orthonormal.inner_left_finsupp, LeftInvariantDerivation.lift_zero, Complex.isOpen_re_lt_EReal, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, logDeriv_const, HasFDerivWithinAt.continuousMultilinearMap_apply, contDiffOn_nat_succ_iff_contDiffOn_one_iteratedDerivWithin, RCLike.map_apply, IsUltrametricDist.isNonarchimedean_invariantExtension, AffineIsometryEquiv.coe_mk, MDifferentiableOn.clm_postcomp, differentiable_const_cpow_of_neZero, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, OrthonormalBasis.orthogonalProjection_eq_sum, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, Complex.restrictScalars_one_smulRight', Seminorm.bound_of_shell, Differentiable.csin, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, Meromorphic.mul, completedZeta_eq_tsum_of_one_lt_re, Complex.continuousOn_exp, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, RCLike.geometric_hahn_banach_point_open, fun_meromorphicOrderAt_div, HasDerivAt.const_sub, hasDerivWithinAt_add_const_iff, IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, FormalMultilinearSeries.comp_partialSum, CuspFormClass.holo, HasDerivAtFilter.sum, Affine.Simplex.orthogonalProjectionSpan_map, NumberField.mixedEmbedding.lintegral_comp_polarCoord_symm, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, HasFDerivWithinAt.ccos, Matrix.IsHermitian.isClosedEmbedding_cfcAux, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, IsUltrametricDist.algNormOfAlgEquiv_extends, RCLike.ofRealCLM_apply, SchwartzMap.integral_sesq_fourier_fourier, Asymptotics.IsBigOTVS.congr', 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, Asymptotics.IsEquivalent.zpow, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, LinearMap.toLinearMap_tracePositiveLinearMap, hasStrictDerivAt_intCast, cfcₙ_norm_nonneg, 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Subalgebra.spectrum_sUnion_connectedComponentIn, IsHilbertSum.mkInternal, Asymptotics.IsThetaTVS.trans_isBigOTVS, Function.FactorizedRational.divisor, AffineIsometryEquiv.coe_symm_toAffineEquiv, cfc_mem_elemental, NonUnitalCStarAlgebra.toStarModule, hasDerivAt_sqrt_mul_log, LinearMap.IsSymmetric.restrictScalars, ContinuousAffineMap.fderiv, StrongDual.norm_extendRCLike, LSeries.term_sum, ContinuousLinearMap.continuous_det, HurwitzZeta.hasSum_int_cosKernel₀, HasFiniteFPowerSeriesAt.neg, Complex.isOpenMap_im, HasStrictFDerivAt.csin, Polynomial.isEquivalent_atBot_div, SchwartzMap.norm_le_seminorm, HurwitzZeta.hasSum_int_hurwitzZetaEven, ContinuousLinearMap.opNorm_bound_of_ball_bound, Complex.ofRealCLM_coe, Complex.kahler, Complex.norm_polarCoord_symm, ContinuousLinearMap.map_add_add, MeromorphicAt.analyticAt, ContinuousAlternatingMap.isEmbedding_restrictScalars, ContDiff.div_const, WeakDual.isCompact_polar, MeromorphicOn.divisor_fun_smul, finrank_real_complex_fact', 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Padic.withValUniformEquiv_norm_le_one_iff, ApproximatesLinearOn.lipschitz, tendsto_cobounded_iff_meromorphicOrderAt_neg, HasDerivWithinAt.eventually_ne, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, lp.inner_eq_tsum, Rat.padicValuation_cast, UpperHalfPlane.image_coe_sphere, logDeriv_comp, Complex.isCoveringMap_exp, StrongDual.polarSubmodule_eq_setOf, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, HasStrictDerivAt.pow, ContinuousLinearMap.isUniformEmbedding_restrictScalars, PeriodPair.ω₁_div_two_notMem_lattice, DifferentiableAt.div, ContDiffWithinAt.cexp, 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, HasDerivAt.hasDerivWithinAt, ContinuousLinearMap.hasDerivAtFilter, HasFPowerSeriesAt.locally_ne_zero, Polynomial.div_tendsto_atTop_leadingCoeff_div_of_degree_eq, fderivWithin_csinh, DoubleCentralizer.intCast_snd, span_fourier_closure_eq_top, Complex.GammaSeq_tendsto_Gamma, Function.Periodic.tendsto_nhds_zero, PeriodPair.basis_one, HasDerivAtFilter.comp_hasFDerivAtFilter, MeromorphicAt.finsum, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, ContinuousLinearMapWOT.withSeminorms, HasDerivWithinAt.fun_div, Submodule.re_inner_starProjection_eq_normSq, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, HasDerivWithinAt.complexToReal_fderiv', inner_self_eq_one_of_norm_eq_one, Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, mdifferentiableAt_iff_localFrame_coeff, MeasureTheory.inner_condExpL2_left_eq_right, integrableOn_cfc', IsCovariantDerivativeOn.difference_apply, OpenPartialHomeomorph.hasDerivAt_symm, SchwartzMap.seminorm_le_bound, AffineIsometryEquiv.linear_eq_linear_isometry, Bornology.isVonNBounded_add_self, WeakDual.isClosed_image_polar_of_mem_nhds, PadicComplex.valuation_extends, ContinuousLinearMap.integral_apply, one_add_cpow_hasFPowerSeriesAt_zero, RCLike.algebraMap_eq_ofReal, PadicComplex.charZero, HasDerivAt.fun_finset_prod, 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, ContMDiffCovariantDerivativeOn.affine_combination, UpperHalfPlane.analyticAt_smul, WithSeminorms.mem_nhds_iff, LinearMap.IsSymmetric.diagonalization_apply_self_apply, BoundedContinuousFunction.char_neg, EuclideanGeometry.orthogonalProjection_congr, 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BoundedContinuousFunction.char_zero_eq_one, SchwartzMap.lineDerivOp_fourier_eq, ValueDistribution.logCounting_zero_mul_le, RCLike.pos_iff, isClosedEmbedding_cfcₙAux, AddChar.wInner_cWeight_self, deriv_comp_const_sub, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, 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, norm_iteratedFDerivWithin_clm_apply, 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, ContMDiffOn.clm_postcomp, inner_eq_norm_mul_iff, RCLike.geometric_hahn_banach_of_nonempty_interior_point, ContinuousLinearMap.toBilinForm_apply, Seminorm.restrictScalars_closedBall, RCLike.map_same_eq_id, iteratedDerivWithin_comp_two, ContinuousWithinAt.cpow, DoubleCentralizer.nnnorm_def', NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isComplex, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, Asymptotics.IsLittleOTVS.tendsto_div, 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, nnnorm_cfcₙ_lt_iff, eqOn_dslope_sub_smul, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, PadicComplex.norm_eq_norm, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay_of_summable, Matrix.toLinearMap_tracePositiveLinearMap, MeromorphicAt.mul, Seminorm.closedBall_iSup, UpperHalfPlane.dist_le_iff_dist_coe_center_le, ContinuousLinearMap.IsPositive.inner_nonneg_right, DifferentiableOn.deriv, LeftInvariantDerivation.left_invariant', TemperedDistribution.fourierMultiplierCLM_smul, hasDerivAt_bernoulliFun, hasSum_one_div_nat_pow_mul_fourier, derivWithin_fderivWithin, two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even, DifferentiableOn.cpow_const, RCLike.wInner_sub_right, MultilinearMap.mkContinuousMultilinear_apply, PadicSeq.ne_zero_iff_nequiv_zero, SchwartzMap.instContinuousSMul, NumberField.mixedEmbedding.norm_le_convexBodySumFun, deriv_csinh, Complex.UnitDisc.instSMulCommClass_closedBall_circle, HasFDerivWithinAt.complexOfReal, StrongDual.norm_extendRCLike_bound, TemperedDistribution.lineDerivOp_fourier_eq, Complex.frontier_setOf_re_le, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, HasProdUniformlyOn_sineTerm_prod_on_compact, Seminorm.smul_inf, FormalMultilinearSeries.derivSeries_coeff_one, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_bounded_under, Polynomial.isCoveringMapOn_eval, Complex.ofRealCLM_norm, Complex.UnitDisc.instSMulCommClass_closedBall_left, Matrix.spectrum_toLpLin, HasDerivAt.comp_ofReal, ContinuousOn.cfcₙ', mdifferentiableOn_symm_coordChangeL, DifferentiableAt.csinh, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, rotation_injective, Bornology.IsBounded.reProdIm, Circle.ofConjDivSelf_coe, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, NumberField.mixedEmbedding.mem_idealLattice, fderiv_clm_comp, MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNE, InnerProductSpace.Core.inner_smul_left, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, Complex.borelSpace, ContinuousMap.setOfIdeal_ofSet_eq_interior, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, OrthogonalFamily.of_pairwise, IsConformalMap.is_complex_or_conj_linear, fderiv_continuousAlternatingMap_apply_const, MeasureTheory.integral_fintype_prod_eq_prod, ContinuousLinearMap.nhds_zero_eq_of_basis, HasGradientAt.hasDerivAt', derivWithin_comp_const_sub, IsHilbertSum.linearIsometryEquiv_symm_apply, AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, iteratedDeriv_pow, AffineMap.hasDerivWithinAt, RCLike.conj_nat_cast, MeromorphicOn.divisor_const, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, 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Complex.closure_preimage_im, egauge_ball_le_of_one_lt_norm, ContinuousAffineMap.differentiable, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, GeneralSchauderBasis.proj_apply, hasStrictFDerivAt_iff_isLittleOTVS, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, ContinuousLinearEquiv.toCompactConvergenceCLM_apply, logDeriv_mul, 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, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, Complex.continuousWithinAt_log_of_re_neg_of_im_zero, RCLike.toStarOrderedRing, UpperHalfPlane.σ_sq, MeasureTheory.integral_const_mul, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, Complex.continuous_sin, FormalMultilinearSeries.hasSum_of_finite, hasDerivAtFilter_ofNat, iteratedDeriv_comp_const_mul, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, RCLike.is_real_TFAE, Seminorm.continuous', Complex.exp_eq_exp_ℂ, Affine.Triangle.prod_dist_div_dist_eq_one_of_mem_line_of_mem_line, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, Asymptotics.IsBigOTVS.add, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', HasStrictDerivAt.cpow, HasFPowerSeriesOnBall.restrictScalars, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, ContinuousLinearMap.isometry_mul_flip, PeriodPair.weierstrassP_coe, OrthonormalBasis.toBasis_singleton, ContDiffOn.inner, inner_gradientWithin_right, EuclideanGeometry.reflection_map, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, AffineEquiv.continuous_of_finiteDimensional, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, 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, NumberField.natAbs_discr_eq_natAbs_discr_pow_mul_natAbs_discr_pow, DiffContOnCl.inv, ModularForm.prod_slash, 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, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, continuous_equivFun_basis, DirichletCharacter.LSeries_twist_vonMangoldt_eq, exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensional, LinearIsometryEquiv.conjStarAlgEquiv_apply, Bundle.ContinuousLinearMap.vectorBundle, HasDerivWithinAt.sub, DifferentiableAt.clog, DifferentiableAt.zpow, LinearMap.toMatrixOrthonormal_reindex, PiTensorProduct.projectiveSeminormAux_smul, MeasureTheory.integral_div, MeasureTheory.ConvolutionExistsAt.integrable, Matrix.IsHermitian.eigenvalues_eq, nndist_midpoint_right, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, Asymptotics.isLittleOTVS_prodMk_left, Filter.tendsto_ofReal_iff', norm_cfc_le_iff, RCLike.mul_conj, iter_deriv_zpow', Asymptotics.IsBigOTVS.comp_tendsto, ValueDistribution.logCounting_pow_top, PadicInt.coe_sum, Complex.deriv_cos, WithSeminorms.continuousSMul, hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, Complex.not_differentiableAt_Gamma_neg_nat, Complex.differentiableOn_dslope, RCLike.borelSpace, Real.hasStrictDerivAt_sinh, AddCircle.homeomorphCircle'_symm_apply, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, Distribution.IsVanishingOn.smulLeftCLM, ContinuousLinearMap.opNorm_mul_flip_apply, deriv_conj_conj, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, ConvexOn.univ_sSup_of_countable_affine_eq, Matrix.PosDef.eigenvalues_pos, IsUltrametricDist.of_normedAlgebra', Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzCone, contDiff_nat_succ_iff_contDiff_one_iteratedDeriv, RCLike.hasSum_ofReal, InnerProductSpace.inner_left_rankOne_apply, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, norm_iteratedFDeriv_clm_apply, TestFunction.toBoundedContinuousFunctionCLM_apply, RCLike.continuous_normSq, MeasureTheory.Lp.instFourierInvSMul, Complex.conjCAE_apply, uniformCauchySeqOnFilter_of_deriv, IsLocalFrameOn.coeff_apply_of_mem, OpenPartialHomeomorph.contDiffAt_symm_deriv, hasStrictDerivAt_abs_pos, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, ContinuousLinearMap.norm_extendTo𝕜, Bundle.Trivialization.localFrame_coeff_congr, cfcHom_mem_elemental, Meromorphic.finsum, HasSum.hasSum_at_zero, cfcₙHom_mem_elemental, HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, FormalMultilinearSeries.taylorComp_sub_taylorComp_isBigO, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, Complex.differentiableOn_sqrt, continuous_const_cpow, ContinuousLinearMap.hasBasis_nhds_zero, polynomialFunctions.starClosure_topologicalClosure, Bornology.IsVonNBounded.of_add_right, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, hasFDerivWithinAt_inv, hasSum_nat_jacobiTheta, TemperedDistribution.fourierMultiplierCLM_compL_fourierMultiplierCLM, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, OrthonormalBasis.repr_self, NumberField.InfinitePlace.Completion.norm_coe, ContMDiffAt.clm_postcomp, RCLike.ofReal_balance, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, hasDerivWithinAt_pi, PadicComplex.coe_natCast, differentiableOn_iteratedDerivWithin_cotTerm, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, NormedSpace.isVonNBounded_ball, HasFDerivWithinAt.csin, 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, Differentiable.zpow, derivWithin.scomp, Complex.differentiableWithinAt_sqrt, MeasureTheory.continuous_charFun, Continuous.cfc', OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, Complex.differentiableAt_GammaAux, RCLike.realRingEquiv_symm_apply, HasFDerivAt.continuousMultilinear_apply_const, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, HasFDerivWithinAt.continuousAlternatingMap_apply, ContinuousLinearMap.IsPositive.smul_of_nonneg, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, EuclideanSpace.nndist_eq, FormalMultilinearSeries.sum_of_finite, MeromorphicOn.divisor_pow, ModularForm.prod_slash_sum_weights, RCLike.nonUnitalContinuousFunctionalCalculus, HasDerivAt.hasGradientAt, HasFTaylorSeriesUpToOn.zero_eq', Asymptotics.IsLittleOTVS.trans_isThetaTVS, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, intervalIntegral.integral_div, HarmonicAt.analyticAt_complex_partial, Complex.instPathConnectedSpaceUnits, ContDiff.continuous_deriv, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, WithSeminorms.withSeminorms_eq, HasDerivAt.continuousOn, ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator, exists_lt_nnnorm_lt, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, contMDiffOn_localFrame_coeff, ContDiffMapSupportedIn.monoLM_apply, Real.nnnorm_exp_I_mul_ofReal_sub_one_le, HasDerivWithinAt.Iic_of_Iio, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, exists_nnnorm_lt_one, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, spectralAlgNorm_def, Complex.continuousOn_cos, LinearMap.isHermitian_toMatrix_iff, OrthonormalBasis.measurePreserving_repr, Asymptotics.IsLittleOTVS.prodMk, RCLike.ofReal_comp_balance, HasDerivAt.eventually_ne, ZMod.completedLFunction_def_even, HasDerivWithinAt.clm_apply, SchwartzMap.integral_fourierInv_smul_eq, DifferentiableAt.hasDerivAt, RKHS.kernel_apply, HasDerivAt.finCons, RCLike.reCLM_norm, Seminorm.bound_of_continuous_normedSpace, RCLike.geometric_hahn_banach_closed_point, MeasureTheory.AEStronglyMeasurable.inner_const, HasDerivWithinAt.sin, IsUltrametricDist.invariantExtension_apply, HasDerivAtFilter.add, Real.hasDerivAt_arcosh, Complex.tendsto_mul_log_one_add_of_tendsto, curveIntegral_neg, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, cfcₙ_setIntegral, Complex.isOpen_slitPlane, HasGradientAt.continuousAt, HasFDerivAt.sub, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, DirichletCharacter.deriv_LFunction_eq_deriv_LSeries, MeasureTheory.SignedMeasure.toComplexMeasure_apply, MDifferentiable.clm_postcomp, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, Asymptotics.IsLittleOTVS.insert, ContinuousLinearMap.isPositive_self_comp_adjoint, dslope_eventuallyEq_slope_nhdsNE, iteratedDeriv_scomp_eq_sum_orderedFinpartition, HasDerivAt.cpow, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, RCLike.ofReal_sub, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, fderivWithin_const_sub, hasDerivAt_iff_isLittleO, DifferentiableAt.fun_finset_prod, spectrum.isOpen_resolventSet, Affine.Simplex.orthogonalProjectionSpan_eq_point, HasDerivAt.arctan, Polynomial.toAddCircle_X_pow_eq_fourier, HasDerivWithinAt.hasFDerivWithinAt, Polynomial.abs_div_tendsto_atTop_of_degree_gt, Matrix.IsHermitian.eigenvectorUnitary_col_eq, contMDiffOn_baseSet_iff_localFrame_coeff, HasDerivAt.sqrt, hasFPowerSeriesAt_const, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, HasFDerivAtFilter.neg, fderiv_eq_deriv_mul, UniformOnFun.continuousSMul_induced_of_image_bounded, Submodule.starProjection_inner_eq_zero, nndist_right_lineMap, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, MeromorphicOn.extract_zeros_poles_log, HasFPowerSeriesWithinOnBall.fderivWithin, PadicAlgCl.isUltrametricDist, 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, Bundle.Trivialization.localFrame_coeff_eq_coeff, Unitization.uniformContinuous_fst, SchwartzMap.fourierMultiplierCLM_compL_fourierMultiplierCLM, HasStrictDerivAt.fun_sum, NumberField.mixedEmbedding.polarSpaceCoord_target, OnePoint.isZeroAt_iff_exists_SL2Z, LinearIsometryEquiv.adjoint_eq_symm, NumberField.mixedEmbedding.negAt_apply_snd, extDeriv_fun_smul, fderivWithin_ccosh, ZMod.differentiableAt_completedLFunction, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeromorphicAt.inv_iff, MeasureTheory.setIntegral_prod_mul, Matrix.toEuclideanLin_apply, Bornology.IsVonNBounded.image_multilinear', ContinuousMultilinearMap.uniformity_eq_seminorm, HasDerivAt.congr_of_eventuallyEq, 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, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, Complex.frontier_preimage_re, CuspForm.coe_trace, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, ContinuousLinearMapWOT.le_nhds_iff_forall_dual_apply_le_nhds, Seminorm.bddAbove_of_absorbent, 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, AnalyticAt.frequently_zero_iff_eventually_zero, RCLike.conjCLE_apply, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, Asymptotics.IsLittleOTVS.neg_right, HasFTaylorSeriesUpTo.fderiv_eq, Complex.cexp_tsum_eq_tprod, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', Function.Periodic.differentiableAt_cuspFunction, 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, TestFunction.fderivCLM_ofSupportedIn, ProbabilityTheory.IndepFun.integral_comp_mul_comp, Complex.instContinuousStar, fderivWithin_fun_neg, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, NumberField.mixedEmbedding.negAt_preimage, HasLineDerivAt.tendsto_slope_zero_right, HasDerivAt.nonneg_of_monotone, isScalarTower_sphere_closedBall_closedBall, Balanced.convexHull, Complex.hasDerivAt_GammaIntegral, fderiv_continuousAlternatingMapCompContinuousLinearMap, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, 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, cfcL_integrable, NumberField.mixedEmbedding.fundamentalCone.volume_frontier_normLeOne, Complex.continuousAt_sqrt, ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, HurwitzZeta.hasSum_nat_sinZeta, DifferentiableAt.fun_div, MDifferentiable.clm_bundle_apply₂, ValueDistribution.logCounting_mul_zero_eventuallyLE, fderiv_neg, ValueDistribution.logCounting_top, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, EuclideanGeometry.angle_orthogonalProjection_self, Polynomial.isEquivalent_atTop_lead, EuclideanGeometry.orthogonalProjection_apply_mem, meromorphicOrderAt_ne_top_iff, ContDiffAt.inv, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, ContinuousAlternatingMap.instContinuousSMul, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.charFun_apply_real, HasFDerivAt.restrictScalars, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, RCLike.instCStarRing, LinearPMap.graph_adjoint_toLinearPMap_eq_adjoint, EuclideanGeometry.dist_orthogonalProjection_eq_of_oangle_eq, Complex.taylorSeries_eq_on_ball', Complex.UnitDisc.coe_smul_circle, DifferentiableOn.const_cpow, PiTensorProduct.projectiveSeminorm_apply, Complex.summable_conj, LDL.lowerInv_orthogonal, UpperHalfPlane.denom_cocycle_σ, VectorFourier.fourierIntegral_continuousLinearMap_apply, ContinuousAffineMap.norm_def, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, HasGradientWithinAt.continuousWithinAt, AffineSubspace.coe_subtypeₐᵢ, HasFDerivAtFilter.isThetaTVS_sub, RCLike.re_nonneg_of_nonneg, Complex.continuousAt_arg, InnerProductSpace.Core.inner_neg_left, PeriodPair.latticeBasis_zero, ZMod.LFunction_def_odd, ContinuousOn.cfc, summable_mul_of_bigO_atTop, Meromorphic.prod, SchwartzMap.fourier_lineDerivOp_eq, HasFDerivWithinAt.isThetaTVS_sub, Complex.starConvex_one_slitPlane, LinearMap.isBigOTVS_rev_comp, AddChar.wInner_cWeight_eq_zero_iff_ne, LinearMap.toContinuousBilinearMap_apply, 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, norm_iteratedFDerivWithin_clm_apply_const, RCLike.iInter_countable_halfSpaces_eq, hasStrictDerivAt_exp_smul_const, RCLike.ofReal_nonneg, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Filter.EventuallyEq.ftaylorSeries, isBoundedBilinearMap_comp, Complex.interior_setOf_le_re, EuclideanGeometry.dist_orthogonalProjection_eq_iff_angle_eq, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, Filter.tendsto_ofReal_iff, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, Filter.EventuallyEq.deriv, hasStrictDerivAt_add_const_iff, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, Finsupp.sum_inner, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, TemperedDistribution.fourierInv_lineDerivOp_eq, MeasureTheory.condExpL2_indicator_ae_eq_smul, Asymptotics.IsBigOTVS.neg_right, fderiv_fun_sub, UpperHalfPlane.mdifferentiable_inv_denom, LeftInvariantDerivation.lift_smul, RCLike.complexRingEquiv_apply, FormalMultilinearSeries.rightInv_removeZero, HasStrictDerivAt.csin, WithAbs.uniformSpace_comap_eq_of_comp, DifferentiableOn.cpow, MeromorphicOn.prod, ContinuousMultilinearMap.isEmbedding_restrictScalars, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, DoubleCentralizer.norm_def, ClosedSubmodule.orthogonal_closure'', HasDerivWithinAt.comp, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', HasStrictDerivAt.map_nhds_eq, Complex.hasStrictFDerivAt_cpow', NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, LinearIsometry.toAffineIsometry_toAffineMap, NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closure, Real.fourier_iteratedFDeriv, Differentiable.ccos, HasDerivAt.add, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, Differentiable.cexp, ValueDistribution.logCounting_mul_top_eventuallyLE, HasMFDerivAt.smul, Orientation.kahler_eq_zero_iff, AddChar.sum_apply_eq_ite, EulerProduct.eulerProduct_completely_multiplicative, contDiff_succ_iff_fderiv, HasStrictDerivAt.div, meromorphicOrderAt_mul_of_ne_zero, ContinuousLinearMap.opNNNorm_prod, UpperHalfPlane.dist_eq_iff_eq_sinh, MDifferentiableAt.clm_prodMap, hasDerivAtFilter_zero, HasMFDerivAt.neg, Complex.integral_comp_polarCoord_symm, Seminorm.map_eq_zero_of_norm_zero, Complex.uniformContinuous_re, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, PeriodPair.ω₂_div_two_notMem_lattice, derivWithin_zpow, Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Matrix.PosSemidef.posDef_iff_isUnit, Meromorphic.div, UnitAddTorus.mFourierCoeff_toLp, WeakDual.toStrongDual_inj, DifferentiableOn.csinh, ContinuousLinearMap.uniformContinuous_restrictScalars, HurwitzZeta.differentiable_expZeta_of_ne_zero, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, Asymptotics.IsEquivalent.mul, isModuleTopologyOfFiniteDimensional, LinearMap.extendTo𝕜'_apply, PeriodPair.hasSum_derivWeierstrassP, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, ContinuousLinearMap.holderₗ_apply_apply, ContinuousAt.of_dslope, PeriodPair.compl_lattice_diff_singleton_mem_nhds, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, DifferentiableAt.const_cpow, dslope_sub_smul, hasDerivAt_id', HasDerivWithinAt.cos, LinearMap.dualEmbedding_surjective, integrableOn_Ioi_cpow_iff, ContinuousMultilinearMap.curryRight_norm, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, HurwitzZeta.differentiable_hurwitzZetaOdd, Matrix.IsHermitian.eigenvectorUnitary_mulVec, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, iteratedFDeriv_comp_const_smul, HasStrictDerivAt.arctan, AffineIsometryEquiv.pointReflection_toAffineEquiv, MeasureTheory.MemLp.inner_const, HasStrictDerivAt.mul, LSeries_deriv_eqOn, Padic.zero_def, ContDiffOn.continuousOn_iteratedDerivWithin, FDerivMeasurableAux.norm_sub_le_of_mem_A, ContinuousLinearMap.deriv, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, MeasureTheory.convolution_lsmul, MDifferentiableAt.clm_postcomp, HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZeta, PeriodPair.hasSumLocallyUniformly_derivWeierstrassP, Complex.sameRay_of_arg_eq, fderiv_continuousAlternatingMap_apply, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, TemperedDistribution.laplacian_eq_fourierMultiplierCLM, SeminormFamily.finset_sup_comp, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, ContDiff.cexp, UpperHalfPlane.ofComplex_apply_of_im_nonpos, ContDiffMapSupportedIn.monoLM_eq_of_scalars, Polynomial.exists_aroots_norm_sub_lt_of_norm_coeff_sub_lt, 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, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, IsOpen.reProdIm, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, meromorphicNFAt_mul_iff_left, RegularNormedAlgebra.isometry_mul', Complex.frontier_setOf_im_lt, cauchyPowerSeries_apply, ContDiffWithinAt.hasFDerivWithinAt_nhds, WithAbs.instUniformContinuousConstSMulReal, HasStrictDerivAt.real_of_complex, ModularFormClass.continuous, Matrix.PosSemidef.det_sqrt, MeasureTheory.integral_condExpL2_eq, LinearPMap.adjoint_apply_eq, Orientation.rotation_map_complex, TemperedDistribution.instFourierSMul, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, Complex.tendsto_one_add_cpow_exp_of_tendsto, MDifferentiableWithinAt.clm_bundle_apply₂, fun_meromorphicOrderAt_smul, HasDerivAt.differentiableAt, exists_nnnorm_lt, TestFunction.limitCLM_apply, 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, fun_meromorphicOrderAt_zpow, TensorProduct.lidIsometry_apply, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, MeasureTheory.StronglyMeasurable.inner, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime_pow, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, HasDerivWithinAt.csinh, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, DifferentiableAt.star_conj, meromorphicNFOn_fun_prod, 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, HasFDerivAt.continuousAlternatingMap_apply, hasGradientAtFilter_iff_isLittleO, MeasureTheory.convolution_precompR_apply, Complex.differentiableOn_update_limUnder_of_isLittleO, WeakDual.coe_toStrongDual, NormedSpace.eq_zero_iff_forall_dual_eq_zero, SchwartzMap.compSubConstCLM_apply, 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, UnconditionalSchauderBasis.enorm_proj_le_enormProjBound, MeasureTheory.setIntegral_condExpL2_indicator, CuspForm.holo', InnerProductSpace.nnnorm_rankOne, contDiffOn_one_iff_derivWithin, PeriodPair.mem_lattice, range_cfc_subset, BoundedContinuousFunction.mem_charPoly, OrthonormalBasis.orthogonalProjection_apply_eq_sum, Orientation.kahler_comp_rightAngleRotation, BoundedContinuousFunction.charAlgHom_apply, LeftInvariantDerivation.comp_L, HasDerivAt.fun_pow, ArithmeticFunction.vonMangoldt.residueClass_apply, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, FormalMultilinearSeries.taylorComp_sub_taylorComp_isLittleO, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, ContinuousAt.cexp, AffineIsometryEquiv.toContinuousAffineEquiv_symm, Matrix.PosSemidef.trace_eq_zero_iff, HasGradientWithinAt.differentiableWithinAt, LinearMap.trace_eq_sum_inner, Matrix.gram_zero, ContinuousAlternatingMap.curryLeft_apply_apply, NormedSpace.isVonNBounded_closedBall, MeasureTheory.memLp_haarAddCircle_iff, ContinuousLinearMap.flip_smul, logDeriv_fun_pow, MeromorphicOn.divisor_inv, Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos, HasDerivAtFilter.mono, Submodule.IsCompl.closedComplemented_of_isClosed, ContDiffAt.div_const, Circle.arg_eq_arg, HasFDerivAt.isBigOTVS_sub, Submodule.norm_eq_iInf_iff_inner_eq_zero, HasDerivWithinAt.fun_pow', PeriodPair.analyticOnNhd_derivWeierstrassPExcept, UpperHalfPlane.dist_eq_iff_eq_sq_sinh, MeromorphicOn.id, Module.Dual.extendRCLike_apply, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, MeasureTheory.lpNorm_mul_natCast, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Complex.differentiableOn_update_limUnder_of_bddAbove, NumberField.mixedEmbedding.convexBodySum_compact, spectralNorm_eq_iSup_of_finiteDimensional_normal, MeromorphicOn.divisor_fun_pow, Bundle.ContinuousRiemannianMetric.continuous, hasMFDerivAt_neg, hasSum_mellin, ProbabilityTheory.complexMGF_mul_I, Matrix.IsHermitian.charpoly_cfc_eq, AnalyticAt.deriv, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, MeasureTheory.ConvolutionExistsAt.integrable_swap, IsGreatest.norm_cfcₙ, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, spectrum.isCompact, Complex.tendsto_pow_exp_of_isLittleO_sub_add_div, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, hasDerivAt_tsum_of_isPreconnected, Matrix.gram_eq_conjTranspose_mul, HasDerivWithinAt.eventually_notMem, IsLocalFrameOn.coeff_congr, ContMDiffCovariantDerivativeOn.finite_affine_combination, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, EuclideanGeometry.dist_orthogonalProjection_eq_of_two_zsmul_oangle_eq, cfcₙ_comp_norm, FiniteDimensional.rclike_to_real, Complex.comap_exp_nhds_zero, Complex.equivRealProdCLM_symm_apply, HasDerivAtFilter.isBigO_sub_rev, Seminorm.convexOn, HasDerivWithinAt.nonpos_of_antitoneOn, Complex.cos_eq_tsum', iteratedFDerivWithin_neg_apply, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.fun_finset_prod, PadicSeq.lift_index_left_left, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, LDL.lowerInv_triangular, cot_series_rep', DirichletCharacter.differentiableAt_LFunction, differentiableOn_dslope_of_notMem, Polynomial.mahlerMeasure_le_sqrt_natDegree_add_one_mul_supNorm, LowerSemicontinuousOn.isClosed_re_epigraph, NumberField.canonicalEmbedding.integralBasis_repr_apply, Complex.interior_preimage_re, HasStrictFDerivAt.to_implicitFunctionOfComplemented, Complex.continuous_cosh, EuclideanGeometry.orthogonalProjection_apply', MeromorphicOn.divisor_fun_prod, fourier_one, Affine.Simplex.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, GeneralSchauderBasis.expansion, Polynomial.ofReal_eval, HasFPowerSeriesOnBall.fderiv_eq, RCLike.wInner_neg_right, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, Seminorm.coe_restrictScalars, Continuous.cfcₙ_of_mem_nhdsSet, HasSum.cexp, UpperHalfPlane.zero_form_isBoundedAtImInfty, IsCovariantDerivativeOn.smul_const, denseRange_nnnorm, NumberField.mixedEmbedding.fundamentalCone.subset_interior_normLeOne, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, Meromorphic.MeromorphicOn.countable_compl_analyticAt, NumberField.canonicalEmbedding.integerLattice.inter_ball_finite, SchwartzMap.smulLeftCLM_sum, PiTensorProduct.projectiveSeminorm_tprod_le, UpperHalfPlane.σ_mul, AffineMap.hasDerivWithinAt_lineMap, PeriodPair.basis_zero, DifferentiableWithinAt.const_cpow, Asymptotics.IsLittleOTVS.congr_left, UpperHalfPlane.image_coe_ball, NumberField.ComplexEmbedding.IsConj.eq, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, ContinuousLinearMap.fderiv_of_bilinear, RCLike.ofReal_natCast, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Complex.closure_setOf_lt_im, Real.Angle.coe_toCircle, Real.hasDerivWithinAt_arccos_Ici, cfcₙHom_integral, EuclideanGeometry.orthogonalProjection_orthogonalProjection_of_le, Rat.HeightOneSpectrum.adicCompletion.padicEquiv_bijOn, Continuous.cfcₙ, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, Polynomial.abs_tendsto_atTop_iff, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, RKHS.posSemidef_tfae, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, SchwartzMap.toBoundedContinuousFunctionCLM_apply, hasSum_jacobiTheta₂_term, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, 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, HasDerivWithinAt.const_cpow, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, Submodule.adjoint_subtypeL, MeasureTheory.convolutionExistsAt_flip, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, IsGreatest.norm_cfc, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, HasDerivAtFilter.sub, AbsoluteValue.Completion.locallyCompactSpace, AnalyticOn.fderivWithin, EuclideanSpace.nnnorm_single, MeasureTheory.MemLp.memLp_liftIoc, UpperHalfPlane.contMDiff_inv_denom, ContinuousLinearMap.opNorm_mul_apply, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, RCLike.conjLIE_apply, deriv_fun_div, 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, Valued.integer.norm_irreducible_lt_one, RCLike.conj_mul, Matrix.LE.le.posSemidef, ContDiffAt.fderiv_right, Complex.differentiable_exp, MeasureTheory.convolution_def, Affine.Triangle.dist_circumcenter_reflection_orthocenter, MeasureTheory.norm_condExpL2_coe_le, ContMDiffFiberwiseLinear.locality_aux₂, ContinuousMultilinearMap.curryLeft_norm, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, Complex.UnitDisc.isEmbedding_coe, ContinuousLinearMap.compContinuousMultilinearMapL_apply, HurwitzZeta.hasSum_nat_completedCosZeta, HasDerivAt.hasFDerivAt, tendsto_sub_mul_tsum_nat_cpow, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, Polynomial.toAddCircle.integrable, HasDerivAtFilter.iterate, fourier_zero, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, RCLike.imLm_coe, fourier_neg', HasFPowerSeriesWithinOnBall.prod, MDifferentiableWithinAt.clm_precomp, HasDerivAt.fun_add, SchwartzMap.fourierMultiplierCLM_sum, HasDerivAt.neg, ContMDiffVectorBundle.continuousLinearMap, NormedSpace.eq_iff_forall_dual_eq, HasDerivAt.star, Function.Periodic.boundedAtFilter_cuspFunction, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, ContDiffOn.fderiv_of_isOpen, Meromorphic.zpow, continuousOn_cfcₙ, ContinuousLinearMap.continuous_restrictScalars, HasFDerivWithinAt.neg, hasStrictDerivAt_const_add_iff, Summable_cotTerm, AffineIsometry.toContinuousAffineMap_id, isBoundedBilinearMap_compMultilinear, Asymptotics.IsBigOTVS.fun_add, norm_cauchyPowerSeries_le, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, 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, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, MeromorphicOn.divisor_sub_const_self, ContinuousAlternatingMap.instIsTopologicalAddGroup, Unitization.cobounded_eq_aux, HasDerivAtFilter.const_smul, Asymptotics.isBigOTVS_fun_neg_left, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, 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, inCoordinates_apply_eq₂, Asymptotics.isBigOTVS_fun_neg_right, ZMod.completedLFunction_def_odd, RCLike.instContinuousMapUniqueHom, AnalyticOnNhd.fderiv_of_isOpen, FormalMultilinearSeries.id_comp', Seminorm.rescale_to_shell_zpow, mdifferentiableOn_localFrame_coeff, UpperHalfPlane.norm_σ, OnePoint.isZeroAt_infty_iff, Circle.smul_def, analyticOrderAt_ne_zero, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, contDiffOn_infty_iff_fderivWithin, ContinuousMultilinearMap.range_toUniformOnFun, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, Seminorm.smul_closedBall_zero, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, Submodule.IsCompl.projection_isSymmetricProjection_of_isOrtho, hasSum_fourier_series_L2, DifferentiableWithinAt.hasDerivWithinAt, 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, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, Polynomial.abs_tendsto_atTop, HasDerivWithinAt.mul, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, DifferentiableOn.ccos, HasDerivAt.log, ContinuousLinearMap.isUniformAddGroup, LeftInvariantDerivation.evalAt_coe, Matrix.IsHermitian.trace_eq_sum_eigenvalues, fderiv_inverse, DifferentiableAt.ccosh, SchwartzMap.smulLeftCLM_fun_neg, Matrix.posDef_gram_of_linearIndependent, HasFPowerSeriesOnBall.fderiv, range_cfcₙ, convex_halfSpace_im_gt, ContMDiffOn.clm_precomp, hasGradientAt_iff_isLittleO_nhds_zero, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, ContinuousMultilinearMap.restrictScalarsLinear_apply, 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, Filter.EventuallyEq.hasDerivAt_iff, InnerProductSpace.rankOne_eq_zero, Polynomial.differentiable_aeval, meromorphicNFAt_finprod, Complex.polarCoord_apply, IsGreatest.nnnorm_cfc, HasDerivAt.csinh, fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, RCLike.mul_wInner_left, Seminorm.continuous, 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, Asymptotics.IsEquivalent.finsetProd, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, AffineIsometry.linear_eq_linearIsometry, RCLike.re_eq_norm_of_mul_conj, Continuous.cexp, HasStrictDerivAt.clog_real, ContMDiffOn.coordChangeL, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, EisensteinSeries.linear_right_summable, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasDerivWithinAt.sqrt, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, Asymptotics.isBigOTVS_iff_isBigO, mdifferentiableAt_hom_bundle, UnitAddTorus.mFourier_add, Bornology.isVonNBounded_sub_of_nonempty, meromorphicOrderAt_const_natCast, Real.hasDerivAt_qaryEntropy, innerSL_inj, AffineIsometryEquiv.coe_ofEq_apply, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, 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, differentiableAt_star_conj_iff, UpperHalfPlane.image_coe_closedBall, HasFDerivWithinAt.cpow, 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, HasStrictFDerivAt.const_cpow, MeromorphicOn.divisor_prod, differentiableWithinAt_of_derivWithin_ne_zero, LinearMap.IsSymmetric.coe_toSelfAdjoint, MeromorphicOn.divisor_intCast, Complex.tendsto_one_add_div_pow_exp, HasFDerivWithinAt.csinh, quasispectrum.isCompact, gaugeSeminorm_ball_one, 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, cfcₙAux_id, riemannZeta_eulerProduct_exp_log, LinearMap.IsSymmetric.diagonalization_symm_apply, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, UniformConvergenceCLM.continuousSMul, LinearIsometry.re_apply_eq_re_of_add_conj_eq, RCLike.rank_le_two, hasDerivWithinAt_one, mfderiv_sub, deriv_comp_add_const, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, WeakDual.isCompact_closedBall, RCLike.instMulPosReflectLE, Affine.Simplex.signedInfDist_apply_self, ContinuousOn.of_dslope, 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', HasLineDerivAt.tendsto_slope_zero, Asymptotics.IsLittleOTVS.fst, HasStrictDerivAt.to_local_left_inverse, Complex.tendsto_arg_nhdsWithin_im_nonneg_of_re_neg_of_im_zero, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, DifferentiableAt.inner, ContinuousLinearMap.holder_smul_left, MeromorphicOn.isClopen_setOf_meromorphicOrderAt_eq_top, Complex.derivWithin_sqrt, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, ContinuousAffineMap.norm_eq, HarmonicAt.differentiableAt_complex_partial, AffineIsometry.image_intrinsicInterior, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, dist_right_midpoint, tendsto_logDeriv_euler_sin_div, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, NormedSpace.exp_continuousMap_eq, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, EisensteinSeries.div_linear_zpow_differentiableOn, UnitAddTorus.mFourier_zero, absorbent_nhds_zero, ZMod.differentiable_completedLFunction, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, isScalarTower_sphere_sphere_sphere, MeromorphicOn.analyticAt_mem_codiscreteWithin, MeasureTheory.hasFDerivAt_convolution_right_with_param, InnerProductSpace.exists_of_rankOne_eq_rankOne, ContMDiffAt.mfderiv_const, smoothSheafCommRing.isUnit_stalk_iff, FormalMultilinearSeries.coeff_ofScalars, UpperHalfPlane.ofComplex_apply_of_im_pos, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, SchwartzMap.postcompCLM_apply, Asymptotics.IsLittleOTVS.neg_left, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, spectralMulAlgNorm_def, RCLike.isUniformEmbedding_ofReal, EuclideanSpace.coe_proj, DifferentiableAt.isBigOTVS_sub, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AffineIsometryEquiv.toContinuousAffineEquiv_refl, cfcₙ_mem_elemental, Orthonormal.inner_left_right_finset, AlternatingMap.mkContinuousAlternating_norm_le, HasCompactSupport.hasFDerivAt_convolution_right, meromorphicOrderAt_id, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, FormalMultilinearSeries.mkPiRing_coeff_eq, differentiableAt_inv_iff, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, SchwartzMap.norm_iteratedFDeriv_le_seminorm, TemperedDistribution.fourierMultiplierCLM_fourierMultiplierCLM_apply, PadicSeq.lift_index_right, Submodule.norm_orthogonalProjection_apply_le, HasStrictDerivAt.exp, instPolynormableSpaceSubtypeMemSubmodule, Finsupp.inner_sum, LinearMap.deriv, SchwartzMap.seminorm_le_bound', RCLike.nnnorm_nnratCast, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, Asymptotics.IsLittleOTVS.pi, 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, Bundle.Pretrivialization.continuousLinearMap.isLinear, TotallyBounded.isVonNBounded, UpperHalfPlane.hasStrictDerivAt_smul, logDeriv_div, NumberField.mixedEmbedding.convexBodySumFun_smul, Complex.interior_preimage_im, HasDerivAt.cosh, InnerProductSpace.gramSchmidt_orthogonal, DifferentiableAt.conj_conj, AffineIsometryEquiv.ofTop_symm_apply_coe, NumberField.mixedEmbedding.logMap_real_smul, ContinuousLinearMap.adjoint_inner_left, Complex.isBigO_re_sub_re, AddChar.sum_apply_eq_zero_iff_ne_zero, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, TensorProduct.inner_mapIncl_mapIncl, isQuotientCoveringMap_npow, Bornology.IsVonNBounded.image_multilinear, InnerProductSpace.gramSchmidt_pairwise_orthogonal, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, fun_iteratedFDeriv_sub, ContDiffMapSupportedIn.seminorm_monoLM_le, Complex.comap_exp_nhdsNE, Polynomial.derivWithin, ContinuousLinearMap.isBoundedBilinearMap, deriv_ccosh, nnnorm_algebraMap, fdifferential_apply, ContinuousMultilinearMap.hasBasis_nhds_zero, ContinuousMultilinearMap.instIsUniformAddGroup, ball_normSeminorm, HasFPowerSeriesWithinOnBall.sum, Matrix.l2_opNorm_diagonal, Real.hasStrictDerivAt_arcosh, LinearMap.extendTo𝕜_apply, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, HasDerivAt.sub, UnitAddTorus.coeFn_mFourierLp, Complex.multipliable_of_summable_log, MeromorphicAt.fun_pow, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, MeromorphicOn.divisor_sub_const_of_ne, Affine.Simplex.orthogonalProjectionSpan_congr, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, HasDerivAt.ccosh, HasStrictDerivAt.sum, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, fderivWithin_continuousMultilinear_apply_const, 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, fderivWithin_ccos, Complex.deriv_Gamma_nat, Matrix.isSymmetric_toEuclideanLin_iff, Asymptotics.isBigOTVS_neg_right, MDifferentiableOn.coordChangeL, PeriodPair.weierstrassPExcept_eq_tsum, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, inner_neg_right, ContinuousAlternatingMap.ofSubsingletonLIE_apply, HasStrictFDerivAt.clog, nnnorm_apply_le_nnnorm_cfcₙ, Orthonormal.isHilbertSum, MeromorphicOn.fun_pow, FormalMultilinearSeries.compAlongComposition_bound, iteratedDeriv_fun_id, OrthonormalBasis.singleton_apply, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, TemperedDistribution.fourierMultiplierCLM_apply, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, SchwartzMap.lineDeriv_eq_fourierMultiplierCLM, UpperHalfPlane.lt_dist_iff_lt_dist_coe_center, Seminorm.bound_of_continuous, RCLike.sqrt_one, HasStrictDerivAt.smul, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, Complex.continuous_sinh, constFormalMultilinearSeries_apply_zero, Padic.instCompleteSpace, LinearMap.IsSymmetric.restrict_invariant, hasDerivAt_tsum, DifferentiableAt.fderiv_restrictScalars, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, Padic.comap_mulValuation_eq_padicValuation, MeromorphicOn.div, LinearIsometryEquiv.conjStarAlgEquiv_trans, Complex.UnitDisc.coe_closedBall_smul, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, AffineIsometryEquiv.ofEq_symm, HasDerivWithinAt.complexToReal_fderiv, Polynomial.abs_tendsto_atBot_iff, Real.tsum_eq_tsum_fourier_of_rpow_decay_of_summable, ContinuousLinearMap.bilinearComp_zero_right, Circle.ext_iff, Complex.IsExactOn.differentiableOn, WeakDual.isBounded_closure, 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, Filter.Tendsto.clog, hasDerivAtFilter_add_const_iff, HasDerivWithinAt.arsinh, HurwitzZeta.completedHurwitzZetaEven_residue_one, LinearIsometry.extend_apply, HasStrictDerivAt.csinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, hasDerivAt_jacobiTheta₂_fst, InnerProductSpace.rank_rankOne, ContMDiffOn.cle_arrowCongr, HasDerivWithinAt.scomp_of_eq, ArithmeticFunction.LSeries_vonMangoldt_eq_deriv_riemannZeta_div, Module.Basis.coe_toOrthonormalBasis_repr_symm, RCLike.geometric_hahn_banach_of_nonempty_interior', LinearMap.toSeminorm_comp, HasDerivAt.exp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, UnitAddTorus.mFourier_neg, IsometricContinuousFunctionalCalculus.toNonUnital, MDifferentiableOn.clm_prodMap, contMDiffAt_coordChangeL, meromorphicNFAt_inv, DifferentiableOn.div_const, HasFDerivWithinAt.fun_sub, InnerProductSpace.toDual_apply_apply, Matrix.PosSemidef.eigenvalues_nonneg, 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, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, PeriodPair.differentiableOn_derivWeierstrassP, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, PeriodPair.weierstrassPExcept_def, HasDerivAt.csin, 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, TemperedDistribution.fourierMultiplierCLM_const, CFC.exp_eq_normedSpace_exp, HasLineDerivAt.tendsto_slope_zero_left, tendsto_nhds_iff_meromorphicOrderAt_nonneg, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure, LDL.lower_conj_diag, 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, Matrix.IsHermitian.posSemidef_iff_eigenvalues_nonneg, RKHS.kerFun_dense, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, HasDerivAt.smul_const, InnerProductSpace.Core.inner_self_eq_zero, HasDerivAtFilter.sub_const, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, Meromorphic.countable_compl_analyticAt, ContinuousLinearMap.coe_flipₗᵢ', MDifferentiableAt.clm_bundle_apply₂, PiTensorProduct.norm_eval_le_injectiveSeminorm, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, deriv_inv, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, contDiffOn_succ_iff_fderiv_of_isOpen, PointwiseConvergenceCLM.equivWeakDual_apply, MeasureTheory.lpNorm_fun_mul_natCast, hasSum_jacobiTheta₂_term_fderiv, HasDerivAt.cos, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, contDiff_iff_continuous_differentiable, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, 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, iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, NormedAlgebra.norm_eq_spectralNorm, AffineIsometry.coe_toAffineMap, BoundedContinuousFunction.innerProbChar_apply, meromorphicOrderAt_pow_id_sub_const, OrthonormalBasis.repr_apply_apply, Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, Circle.coe_inv_eq_conj, HasStrictDerivAt.cosh, HasStrictFDerivAt.ccos, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, Complex.hasDerivAt_Gammaℂ_one, VectorField.lieBracket_fmul_left, AnalyticAt.eventually_constant_or_nhds_le_map_nhds, integrable_cfcₙ, Complex.hasSum_sin, Complex.tendsto_self_mul_Gamma_nhds_zero, Asymptotics.IsBigOTVS.snd, Matrix.l2_opNNNorm_conjTranspose, SchwartzMap.integral_bilin_fourier_eq, Complex.hasStrictDerivAt_const_cpow, RCLike.ofReal_add, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, EuclideanGeometry.Sphere.orthogonalProjection_orthRadius_center, ContinuousMultilinearMap.prodL_apply, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, HasDerivAt.isBigO_sub, nndist_left_midpoint, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousOn.clm_bundle_apply₂, ContinuousLinearMap.coe_flipMultilinearEquiv, Seminorm.bddAbove_iff, HasDerivWithinAt.cpow, NonUnitalAlgHom.coe_Lmul, AffineIsometryEquiv.dist_pointReflection_self, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplex, Complex.tendsto_nat_mul_log_one_add_of_tendsto, ContinuousMultilinearMap.norm_map_init_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', HasStrictFDerivAt.hasStrictFDerivAt_implicitFunctionOfProdDomain, SchwartzMap.compCLMOfAntilipschitz_apply, ContinuousAffineMap.hasStrictFDerivAt, intervalIntegral.integrableOn_Ioo_cpow_iff, SchwartzMap.fourierInv_apply_eq, Circle.coe_mul, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, NormedSpace.expSeries_summable', LinearIsometryEquiv.conjStarAlgEquiv_refl, UpperHalfPlane.dist_lt_iff_dist_coe_center_lt, Complex.conjCLE_toLinearEquiv, HasDerivAt.tendsto_slope_zero_left, HasDerivAt.complexToReal_fderiv', Valued.coe_valuation_eq_rankOne_hom_comp_valuation, MeasureTheory.L2.inner_indicatorConstLp_one, hasStrictFDerivAt_iff_hasStrictDerivAt, RCLike.ofReal_neg, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, Matrix.PosSemidef.nonneg, 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, Asymptotics.IsBigOTVS.fun_symm, Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zero, circleMap_notMem_ball, meromorphicNFOn_fun_inv, SchwartzMap.toTemperedDistributionCLM_apply_apply, Seminorm.continuousAt_zero', HasDerivAtFilter.hasGradientAtFilter, ContinuousLinearMap.coe_restrict_scalarsL', HasDerivAt.complexToReal_fderiv, 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, HasDerivAt.nonpos_of_antitone, StrongDual.polarSubmodule_eq_polar, HasDerivWithinAt.Ici_of_Ioi, fourier_coe_apply, summable_prod_mul_pow, HasDerivAt.tendsto_nhdsNE, 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, norm_cfcₙ_lt_iff, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, 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, ContMDiffOn.clm_comp, ftaylorSeries_fun_zero, SchauderBasis.proj_apply, Complex.isEquivalent_sinh, HasDerivAt.add_const, meromorphicOrderAt_fun_prod, AnalyticOnNhd.is_constant_or_isOpenMap, CovariantDerivative.affine_combination_toFun, Asymptotics.IsLittleOTVS.triangle, Real.Angle.arg_toCircle, MeasureTheory.SignedMeasure.re_toComplexMeasure, TemperedDistribution.smulLeftCLM_sub, fromTangentSpace_mfderiv_smul', Complex.one_add_cpow_hasFPowerSeriesAt_zero, HasDerivAt.of_isLittleO, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Seminorm.uniformSpace_eq_of_hasBasis, HurwitzZeta.hasSum_nat_cosZeta, SchwartzMap.postcompCLM_postcompCLM, Commute.cfcₙHom, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, 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, ContDiff.continuous_iteratedDeriv, HasDerivAt.sub_const, LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, WithSeminorms.topology_eq_withSeminorms, hasSum_cauchyPowerSeries_integral, LinearMap.coe_complexOfReal, ContinuousLinearMap.aestronglyMeasurable_comp₂, continuousSMul_sphere_closedBall, Circle.coe_pow, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, SchwartzMap.smulLeftCLM_const, UpperHalfPlane.contMDiff_num, HasDerivWithinAt.rpow, RCLike.wInner_sub_left, UpperHalfPlane.mdifferentiable_denom, Asymptotics.IsBigOTVS.congr_left, LinearMap.toMatrix_innerₛₗ_apply, UpperHalfPlane.dist_self_center, AffineSubspace.toContinuousAffineMap_subtypeₐᵢ, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, Asymptotics.IsLittleOTVS.smul_left, 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, hasDerivAt_of_tendstoUniformlyOn, MeasureTheory.ComplexMeasure.integrable_rnDeriv, RCLike.wInner_one_eq_inner, PadicSeq.norm_nonarchimedean, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, NumberField.mixedEmbedding.negAt_apply_isComplex, isBigO_riemannZeta_sub_one_div, ContDiffAt.div, Asymptotics.IsBigOTVS.proj, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, Complex.hasFDerivAt_cpow, Matrix.eigenvalues_self_mul_conjTranspose_nonneg, HasDerivWithinAt.nonneg_of_monotoneOn, Submodule.norm_sq_eq_add_norm_sq_projection, ContinuousAffineMap.contDiff, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, Complex.differentiableAt_exp, UpperHalfPlane.σ_num, iteratedDerivWithin_zpow, inner_zero_left, HasFDerivWithinAt.fun_neg, HasStrictDerivAt.scomp_of_eq, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, HasStrictDerivAt.fun_finset_prod, LinearMap.range_toContinuousLinearMap, Bornology.IsVonNBounded.of_sub_right, Complex.not_continuousAt_Gamma_zero, Matrix.inner_toEuclideanCLM, Complex.differentiable_Gammaℝ_inv, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, EuclideanGeometry.orthogonalProjection_vadd_eq_self, dist_lineMap_right, continuous_circleMap, differentiableAt_jacobiTheta₂_fst, ContinuousOn.cpow_const, SchauderBasis.bddAbove_range_nnnorm_proj, MeasureTheory.lpNorm_fun_natCast_mul, AffineMap.differentiableAt, hasStrictDerivAt_finCons', RCLike.neg_iff, isScalarTower_closedBall_ball_ball, contMDiffOn_baseSet_localFrame_coeff, Complex.iter_deriv_exp, MeromorphicOn.meromorphicNFAt_mem_codiscreteWithin, HasProdLocallyUniformlyOn_euler_sin_prod, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, meromorphicNFAt_iff_analyticAt_or, NormedSpace.ofReal_exp_ℝ_ℝ, ContinuousLinearMap.isBoundedLinearMap_comp_right, Matrix.PosSemidef.toLinearMap₂'_zero_iff, 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, TestFunction.lineDerivCLM_add, hasStrictDerivAt_finCons, Complex.differentiableAt_tan, PiTensorProduct.liftEquiv_apply, HasFDerivAt.cexp, extDerivFun_zero, Asymptotics.IsLittleOTVS.trans_isBigOTVS, WeakDual.isBounded_iff_isVonNBounded, HasDerivWithinAt.congr_of_eventuallyEq_of_mem, MeromorphicAt.eventuallyEq_zero_nhdsNE_of_eventuallyEq_zero_codiscreteWithin, Matrix.l2_opNorm_conjTranspose, HasFDerivAt.ccos, has_antideriv_at_fourier_neg, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, HasDerivWithinAt.ccosh, fderivWithin_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul_apply', ContDiffWithinAt.clm_comp, UnitAddTorus.mFourier_norm, toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhds, ProbabilityTheory.IndepFun.integral_fun_mul_eq_mul_integral, 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, ContinuousLinearMap.deriv_of_bilinear, ContDiffWithinAt.inv, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, HasFDerivAt.clog, 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, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, HasDerivAtFilter.star, HurwitzZeta.hasSum_int_completedHurwitzZetaOdd, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, EuclideanGeometry.oangle_orthogonalProjection_self, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, Bornology.isVonNBounded_iff_smul_tendsto_zero, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, PadicSeq.not_equiv_zero_const_of_nonzero, ConvexOn.sSup_of_nat_affine_eq, exists_enorm_lt, PeriodPair.summable_weierstrassPSummand, Submodule.fst_orthogonalDecomposition_apply, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, Complex.frontier_preimage_im, inner_add_left, HasDerivAt.sinh, HasDerivAtFilter.scomp, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, DirichletCharacter.summable_neg_log_one_sub_mul_prime_cpow, Submodule.orthogonal_orthogonal_eq_closure, PadicComplex.norm_extends', continuousAt_clog, EisensteinSeries.linear_left_summable, ContDiffAt.derivWithin, AnalyticOnNhd.preimage_zero_mem_codiscrete, PeriodPair.hasSumLocallyUniformly_weierstrassPExcept, Circle.invOn_arg_exp, contMDiff_smul, MeromorphicOn.divisor_ofNat, RCLike.one_im, nndist_midpoint_left, DoubleCentralizer.nnnorm_fst, UpperHalfPlane.coe_smul, RCLike.toZeroLEOneClass, UniformFun.continuousSMul_induced_of_range_bounded, with_gaugeSeminormFamily, RCLike.natCast_re, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Complex.hasDerivAt_cos, HasDerivWithinAt.fun_smul, IsBilinearMap.toContinuousBilinearMap_apply, ContDiffOn.derivWithin, Valued.integer.norm_le_one, TestFunction.lineDerivOp_eq_lineDerivCLM, 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, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, Convex.exists_forall_hasDerivWithinAt, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, meromorphicNFOn_mul_iff_left_of_analyticOnNhd, Seminorm.iSup_apply, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, Submodule.orthogonalFamily_self, SchwartzMap.fourierMultiplierCLM_apply, EuclideanGeometry.dist_orthogonalProjection_eq_dist_iff_eq_of_mem, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, analyticOrderAt_mul, instSeminormClassAlgebraNormSubtypeAlgebraicClosureMemIntermediateFieldNormalClosure, Module.Basis.equivFunL_apply, Polynomial.cyclotomic.isCoprime_rat, WithSeminorms.tendsto_nhds, inner_map_complex, ContDiff.smulRight, BoundedContinuousFunction.probCharDual_zero, IsSelfAdjoint.dense_domain, ContinuousMultilinearMap.flipLinear_apply_apply, Asymptotics.IsBigOTVS.trans_isLittleOTVS, 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, ContDiffOn.differentiableOn_iteratedDerivWithin, 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, IsCovariantDerivativeOn.leibniz, SchwartzMap.compSubConstCLM_zero, ContDiffMapSupportedIn.seminorm_top_le_iff, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, LinearPMap.adjoint_apply_of_not_dense, 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, TendstoLocallyUniformlyOn.deriv, ClosedSubmodule.iInf_orthogonal, LinearMap.tracePositiveLinearMap_apply, Asymptotics.isLittleOTVS_iff_smallSets, Complex.summable_ofReal, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, hasDerivAt_fourier_neg, MDifferentiableAt.clm_comp, DifferentiableWithinAt.div_const, nhds_hasBasis_absConvex, HasDerivAt.clm_comp, EuclideanGeometry.reflection_apply_of_mem, Matrix.isHermitian_gram, integral_inner, HasFPowerSeriesOnBall.neg, AnalyticAt.harmonicAt_conj, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, Matrix.isStrictlyPositive_iff_posDef, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, ZSpan.coe_floor_self, Real.circleMap.continuous, Seminorm.sSup_empty, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, Orthonormal.linearIsometryEquiv_symm_apply_single_one, nndist_midpoint_midpoint_le', fourier_eval_zero, Matrix.PosDef.commute_iff, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, VectorFourier.integral_fourierIntegral_swap, RCLike.finrank_le_two, NormedSpace.inclusionInDoubleDualWeak_apply, 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, sum_mul_eq_sub_integral_mul₀', meromorphicTrailingCoeffAt_inv, derivWithin_ccosh, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, RCLike.nonneg_iff, MeromorphicAt.id, AbsoluteValue.IsEquiv.equivWithAbs_image_mem_nhds_zero, Affine.Simplex.orthogonalProjection_circumcenter, instFiniteDimensionalRealComplex, 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, HasDerivWithinAt.comp_hasDerivAt_of_eq, summable_pow_div_add, ContinuousMultilinearMap.uniformContinuous_restrictScalars, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_const_smul, HasDerivAt.fun_sub, HasStrictFDerivAt.restrictScalars, Affine.Triangle.prod_dist_eq_prod_dist_of_mem_line_of_mem_line, deriv_comp, PadicInt.coe_adicCompletionIntegersEquiv_apply, derivWithin_cexp, HasFDerivAt.ccosh, MeromorphicAt.eventually_continuousAt, UpperHalfPlane.dist_eq, Circle.star_addChar, HurwitzZeta.hurwitzZeta_residue_one, Filter.Tendsto.cfcₙ, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', hasDerivAt_exp_smul_const, RCLike.continuous_re, HasDerivAtFilter.add_const, NormedSpace.algebraMap_exp_comm, Asymptotics.isBigOTVS_neg_left, HasDerivAt.clog, MDifferentiable.slash, Balanced.closure, 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, HasStrictDerivAt.congr_deriv, ProbabilityTheory.hasDerivAt_complexMGF, MeromorphicOn.divisor_fun_zpow, 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', Asymptotics.IsLittleOTVS.congr', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', AddChar.wInner_cWeight_eq_one_iff_eq, logDeriv_apply, iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter, iteratedDerivWithin_one_div, DifferentiableWithinAt.fun_div, ContDiffWithinAt.derivWithin, FormalMultilinearSeries.changeOrigin_eval_of_finite, Seminorm.map_eq_zero_of_norm_eq_zero, RCLike.sqrt_map, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, iteratedFDerivWithin_two_apply', Polynomial.isEquivalent_atTop_div, HasDerivAt.const_smul, Real.hasDerivWithinAt_arcsin_Ici, curveIntegral_fun_neg, HasStrictDerivAt.hasStrictFDerivAt, PeriodPair.derivWeierstrassP_sub_coe, Balanced.interior, RCLike.zero_re, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, LinearPMap.IsFormalAdjoint.le_adjoint, deriv.scomp, HasStrictDerivAt.add, Matrix.instFiniteElemRealSpectrum, AnalyticAt.analyticOrderAt_eq_natCast, HasStrictFDerivAt.to_implicitFunction, inr_comp_cfcₙHom_eq_cfcₙAux, rotationOf_rotation, InnerProductSpace.gramSchmidt_triangular, RCLike.smul_im, Differentiable.cpow, extDerivFun_add, 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, iteratedDerivWithin_fun_id, DoubleCentralizer.neg_toProd, FormalMultilinearSeries.radius_unshift, Complex.frontier_setOf_lt_im, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, MeromorphicOn.divisor_apply, Matrix.isPositive_toEuclideanLin_iff, HasDerivAtFilter.scomp_of_eq, ContinuousLinearMap.coe_restrictScalarsIsometry, nnnorm_cfc_le_iff, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, Polynomial.aeval_conj, HasDerivAt.scomp_hasDerivWithinAt_of_eq, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, VectorField.mlieBracketWithin_smul_left, RCLike.re_eq_add_conj, ContinuousLinearMap.isometry_iff_adjoint_comp_self, 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, HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, Complex.contDiff_exp, spectrum.isClosed, TemperedDistribution.fourierMultiplierCLM_toTemperedDistributionCLM_eq, HasDerivAt.comp_const_sub, HasDerivAt.norm_sq, WeakBilin.locallyConvexSpace, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, HasDerivWithinAt.add, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, IsSelfAdjoint.conj_adjoint, ContinuousMultilinearMap.curryMidEquiv_apply, complexOfReal_deriv, Complex.closure_preimage_re, EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eq, deriv_csin, HasStrictFDerivAt.continuousMultilinear_apply_const, Asymptotics.IsLittleOTVS.sup, hasSum_mellin_pi_mul, ContDiffMapSupportedIn.monoLM_eq_zero, ValueDistribution.logCounting_mul_top_le, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, Polynomial.exists_roots_norm_sub_lt_of_norm_coeff_sub_lt, tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, DoubleCentralizer.algebraMap_snd, SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf, WeakDual.polar_def, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, 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, PadicSeq.equiv_zero_of_val_eq_of_equiv_zero, support_deriv_subset, Bornology.IsVonNBounded.restrict_scalars, LinearMap.adjoint_toSpanSingleton, ContDiff.differentiable_iteratedDeriv, Complex.interior_setOf_im_le, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, Asymptotics.IsBigOTVS.prodMk, WeakDual.withSeminorms, NontriviallyNormedField.cobounded_neBot, contDiffOn_infty_iff_fderiv_of_isOpen, HasStrictDerivAt.eventually_right_inverse, hasDerivWithinAt_natCast, MeromorphicOn.divisor_fun_mul, Asymptotics.superpolynomialDecay_iff_isLittleO, NumberField.canonicalEmbedding.nnnorm_eq, MeromorphicOn.divisor_zpow, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, DifferentiableWithinAt.csin, QuasispectrumRestricts.real_iff, ContinuousLinearMap.bilinearComp_apply, derivWithin_pow_field, HasDerivAtFilter.isBigO_sub, TemperedDistribution.instLineDerivSMulReal, iteratedDeriv_comp_neg, logDeriv_id, RCLike.inner_apply, cot_series_rep, HasStrictDerivAt.log, exists_enorm_lt_one, Summable.clog_one_sub, HasFDerivAtFilter.fun_sub, upperHemicontinuous_quasispectrum, spectrum.isBounded, ClosedSubmodule.mem_orthogonal, ContinuousMultilinearMap.norm_restrictScalars, UpperHalfPlane.ofComplex_apply_eq_ite, ContMDiffWithinAt.clm_bundle_apply₂, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Polynomial.differentiableAt_aeval, Complex.analyticOn_iff_differentiableOn, WeakDual.CharacterSpace.compContinuousMap_apply, Subalgebra.frontier_subset_frontier, HasDerivAt.fun_div, 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, continuousMultilinearCurryFin0_symm_apply_apply, HasDerivWithinAt.fun_const_smul, RCLike.normSq_mul, deriv_cexp, ContinuousLinearMap.ker_self_comp_adjoint, 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, DifferentiableWithinAt.finset_prod, hasDerivAt_integral_of_dominated_loc_of_deriv_le, orthonormal_subtype_iff_ite, ProbabilityTheory.IndepFun.integral_fun_comp_mul_comp, ContinuousLinearMap.instStarModuleId, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, continuous_cfcHomSuperset_left, contMDiffAt_hom_bundle, Seminorm.convex_ball, VectorField.mlieBracketWithin_smul_right, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, meromorphicOrderAt_div, continuousAt_inv, HasDerivWithinAt.const_mul, NormedSpace.polar_closure, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', ContinuousLinearMapWOT.instContinuousSMul, HasFDerivAt.continuousAlternatingMap_apply_const, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, RCLike.norm_wInner_le, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, Continuous.cfc_of_mem_nhdsSet, LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re, Complex.isConnected_of_upperHalfPlane, PadicInt.nthHomSeq_mul, AnalyticOnNhd.codiscreteWithin_setOf_analyticOrderAt_eq_zero_or_top, norm_fderiv_iteratedFDeriv, Complex.differentiable_sin, Module.Dual.extendRCLikeₗ_apply, Complex.abel_aux, curveIntegralFun_neg, UpperHalfPlane.dist_eq_iff_dist_coe_center_eq, TestFunction.lineDerivCLM_eq_fderivCLM, Complex.continuous_normSq, binomialSeries_radius_eq_top_of_nat, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, MeasureTheory.Lp.norm_constL_le, PeriodPair.weierstrassP_add_coe, meromorphicOrderAt_smul, Asymptotics.isLittleOTVS_map, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, HasDerivWithinAt.arctan, TemperedDistribution.fourier_lineDerivOp_eq, DifferentiableWithinAt.cpow_const, Matrix.l2_opNNNorm_def, ValueDistribution.logCounting_top_mul_eventually_le, HasGradientAtFilter.isBigO_sub, MeromorphicOn.inv, hasDerivAtFilter_sub_const_iff, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.adjointAux_adjointAux, HasStrictFDerivAt.const_sub, mdifferentiableOn_baseSet_localFrame_coeff, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, Submodule.coe_inner, fderiv_sub, HasStrictDerivAt.const_add, Complex.conjCLE_coe_toLinearMap, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, contDiffOn_succ_iff_deriv_of_isOpen, circleMap_mem_sphere, ContDiffOn.clm_comp, UniformSpace.Completion.Continuous.inner, LeftInvariantDerivation.coe_add, ContMDiffAt.clm_precomp, MeasureTheory.condExpL2_indicator_of_measurable, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, 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', cfc_integral, Asymptotics.IsBigOTVS.symm, MeasureTheory.AEStronglyMeasurable.const_inner, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, NormedAlgebra.toMulAlgebraNorm_apply, EuclideanGeometry.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, 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, UpperHalfPlane.petersson_continuous, RCLike.realLinearIsometryEquiv_symm_apply, hasStrictFDerivAt_inv, MeromorphicAt.eventually_analyticAt, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, MDifferentiable.clm_prodMap, Circle.leftInverse_exp_arg, Seminorm.uniformContinuous, 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, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, deriv_neg'', ContinuousLinearMap.isSelfAdjoint_iff', Submodule.sndL_comp_coe_orthogonalDecomposition, HasFDerivWithinAt.restrictScalars, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, OrthonormalBasis.equiv_apply_euclideanSpace, MeasureTheory.euclideanHausdorffMeasure_homothety_image, RCLike.continuous_ofReal, RCLike.exists_norm_mul_eq_self, HasDerivWithinAt.clog, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, IsLocalFrameOn.coeff_apply_of_notMem, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Seminorm.coe_sSup_eq', ContinuousMultilinearMap.uncurryRight_apply, WithLp.unitization_nnnorm_inr, HasDerivAt.comp_const_add, NumberField.mixedEmbedding.polarCoord_source, SchwartzMap.fourierMultiplierCLM_ofReal, InnerProductSpace.Core.inner_smul_ofReal_left, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, UpperHalfPlane.J_smul, fderiv_inv, differentiableWithinAt_iff_restrictScalars, Complex.orthonormalBasisOneI_repr_symm_apply, meromorphicNFAt_fun_prod, MeasureTheory.euclideanHausdorffMeasure_homothety_preimage, derivWithin_comp_mul_left, UpperHalfPlane.cmp_dist_eq_cmp_dist_coe_center, hasDerivAt_circleMap, contMDiffAt_localFrame_coeff, RCLike.ofReal_alg, ContinuousLinearMap.bilinearComp_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, HasDerivWithinAt.scomp_hasDerivAt_of_eq, isScalarTower_sphere_sphere_closedBall, Complex.UnitDisc.instSMulCommClass_closedBall_right, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, UnitAddTorus.hasSum_mFourier_series_L2, OrthonormalBasis.inner_eq_zero, MultilinearMap.mkContinuousLinear_norm_le', HasStrictDerivAt.cpow_const, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, iteratedDeriv_comp_const_add, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, ContDiffOn.div, NumberField.mixedEmbedding.continuous_norm, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Submodule.isOrtho_span, contDiffOn_fderiv_coord_change, ContDiff.iterate_deriv, HasDerivWithinAt.neg, MeromorphicOn.logDeriv, Complex.continuousOn_tan, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.hausdorffMeasure_homothety_image, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, Complex.hasDerivAt_sqrt, spectralNorm_smul, HasStrictDerivAt.smul_const, Asymptotics.isEquivalent_of_tendsto_one, hasDerivAt_iff_hasFDerivAt, ContDiffOn.fun_div, HasStrictDerivAt.sub, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_left, ContDiff.deriv', MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasFiniteFPowerSeriesOnBall.neg, ContinuousWithinAt.of_dslope, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, inner_add_add_self, sum_mul_eq_sub_integral_mul₁, HasDerivWithinAt.Ioo_of_Ioi, LinearMap.weakBilin_withSeminorms, RCLike.complexLinearIsometryEquiv_symm_apply, norm_derivWithin_eq_norm_fderivWithin, Asymptotics.IsEquivalent.pow, differentiableWithinAt_dslope_of_ne, ApproximatesLinearOn.antilipschitz, ContinuousLinearMap.le_def, hasGradientAt_iff_tendsto, WeakDual.isClosed_closedBall, AffineMap.derivWithin, HasDerivAt.arsinh, Meromorphic.fun_zpow, hasDerivAt_fourier, Filter.Tendsto.ofReal, coe_lpPiLpₗᵢ, Asymptotics.IsBigOTVS.congr_right, complexOfReal_fderivWithin, 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, fderiv_ccos, InnerProductSpace.Core.inner_sub_sub_self, Meromorphic.fun_mul, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, Complex.instCompleteSpace, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, Asymptotics.IsThetaTVS.isBigOTVS, ContDiffOn.continuousOn_derivWithin, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, Matrix.PosSemidef.kronecker, 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, FormalMultilinearSeries.le_comp_radius_of_summable, ContinuousLinearMap.le_opNorm₂, nnnorm_inner_le_nnnorm, ContinuousLinearMap.lpPairing_eq_integral, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Filter.Tendsto.cpow, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, InnerProductSpace.Core.inner_zero_right, Seminorm.continuous_iff, ContinuousLinearMap.norm_uncurryMid, IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, DifferentiableOn.isExactOn_ball, RCLike.wInner_const_right, Continuous.clog, NumberField.InfinitePlace.Completion.instIsTopologicalRing, InnerProductSpace.rankOne_def', ContDiff.clm_comp, 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, HasFDerivAt.comp_hasDerivWithinAt, ContinuousLinearMap.holder_smul_right, WithSeminorms.continuous_seminorm, HasFPowerSeriesOnBall.tendstoUniformlyOn', Valued.integer.properSpace_iff_completeSpace_and_isDiscreteValuationRing_integer_and_finite_residueField, Matrix.IsHermitian.eigenvectorUnitary_apply, HasFPowerSeriesWithinOnBall.const_smul, ContinuousOn.cfc_of_mem_nhdsSet, fderiv_apply_one_eq_deriv, HurwitzZeta.hasSum_nat_completedSinZeta, Asymptotics.IsLittleOTVS.comp_tendsto, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, IsUltrametricDist.algNormOfAlgEquiv_apply, integrableOn_exp_mul_complex_Iic, ContinuousAlternatingMap.continuous_restrictScalars, SchwartzMap.fourierMultiplierCLM_const, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, Submodule.norm_orthogonalProjection_apply, LSeries_eq_mul_integral, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, TestFunction.monoCLM_eq_of_scalars, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, Complex.frontier_setOf_le_re, HasDerivAt.rpow, meromorphicTrailingCoeffAt_id_sub_const, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, PadicComplex.instIsScalarTowerPadicPadicAlgCl, Asymptotics.IsLittleOTVS.congr, 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, DifferentiableWithinAt.csinh, AnalyticOnNhd.eqOn_or_eventually_ne_of_preconnected, deriv_inv'', convex_halfSpace_re_ge, OrthogonalFamily.inner_sum, deriv_circleMap, NormedSpace.vonNBornology_eq, cfcₙAux_injective, PeriodPair.latticeBasis_one, HasStrictFDerivAt.fun_sub, MeromorphicNFAt.zpow, EuclideanSpace.inner_eq_star_dotProduct, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, Polynomial.tendsto_nhds_iff, ContinuousLinearMap.isometry_mul, Matrix.IsHermitian.spectrum_eq_image_range, isCoveringMapOn_npow, NonUnitalCommCStarAlgebra.toStarModule, logDeriv_eq_zero_of_not_differentiableAt, logDeriv_id', OrthonormalBasis.sum_repr_symm, Meromorphic.pow, 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, SchwartzMap.norm_toBoundedContinuousFunction_le, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, HasStrictFDerivAt.continuousAlternatingMap_apply, DoubleCentralizer.sub_toProd, Complex.analyticOn_univ_iff_differentiable, Valued.integer.coe_span_singleton_eq_closedBall, Complex.conjCLE_nnorm, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, HasDerivAtFilter.congr_of_eventuallyEq, HasStrictDerivAt.complexToReal_fderiv', 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, DifferentiableAt.of_dslope, isQuotientCoveringMap_zpow, NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace_apply, Matrix.posSemidef_gram, differentiableOn_neg, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, Asymptotics.isBigOTVS_pi, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, LinearMap.continuous_of_nonzero_on_open, HasDerivWithinAt.csin, MeasureTheory.SignedMeasure.toComplexMeasure_apply_re, DifferentiableWithinAt.clm_comp, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, Complex.isBigO_im_sub_im, MDifferentiableOn.cle_arrowCongr, 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, cfcₙ_mem, Unitization.norm_def, ContMDiff.clm_bundle_apply₂, SchwartzMap.eLpNorm_le_seminorm, Complex.isCoveringMapOn_exp, Submodule.det_reflection, linear_isometry_complex_aux, HasStrictDerivAt.const_smul, deriv_neg', HasDerivAt.fun_sum, Orientation.kahler_rotation_left', fderivWithin_neg, hasFDerivAtFilter_iff_isLittleOTVS, zeta_eq_tsum_one_div_nat_add_one_cpow, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, second_derivative_symmetric, Complex.continuous_cos, DirichletCharacter.differentiableAt_completedLFunction, ContinuousAlternatingMap.curryLeft_same, NumberField.mixedEmbedding.euclidean.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMultilinearMap.curryRight_apply, UpperHalfPlane.σ_ofReal, AnalyticAt.of_meromorphicOrderAt_pos, MeromorphicOn.fun_zpow, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Distribution.dsupport_smulLeftCLM_subset, 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, HasFDerivAt.comp_hasDerivWithinAt_of_eq, CPolynomialOn.deriv, UpperHalfPlane.le_dist_iff_le_dist_coe_center, CurveIntegrable.fun_neg, MeromorphicAt.pow, AffineSubspace.subtypeₐᵢ_linear, NumberField.mixedEmbedding.polarCoord_target, AnalyticAt.iterated_deriv, Complex.continuousAt_arg_coe_angle, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, CauSeq.cauchySeq, Asymptotics.superpolynomialDecay_iff_isBigO, ContinuousLinearMap.norm_extendTo𝕜', HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticOnNhd.deriv_of_isOpen, StrongDual.polar_univ, Valued.isNonarchimedean_norm, Submodule.inner_left_of_mem_orthogonal, Asymptotics.IsLittleOTVS.fun_symm, HasDerivAtFilter.const_add, NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isReal, HasDerivWithinAt.of_notMem_tsupport, PeriodPair.hasSum_weierstrassP, convex_halfSpace_re_lt, differentiableAt_iff_comp_const_sub, MDifferentiableAt.clm_precomp, 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, DirectSum.IsInternal.subordinateOrthonormalBasis_def, SchwartzMap.compSubConstCLM_comp, HasFDerivAt.complexOfReal_hasFDerivAt, HasDerivWithinAt.mono_of_mem_nhdsWithin, 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, HasFDerivWithinAt.clog, 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, MeromorphicOn.zpow, curveIntegrable_neg_iff, HasDerivAt.continuousAt, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, PeriodPair.derivWeierstrassP_coe, HasFPowerSeriesOnBall.tendsto_partialSum, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, HasDerivWithinAt.Ioi_of_Ioo, HasDerivWithinAt.fun_mul, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, AbsConvex.closure, Asymptotics.isTheta_const_mul_right, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, norm_root_le_spectralValue, inner_eq_zero_of_left, NumberField.InfinitePlace.Completion.extensionEmbedding_coe, NumberField.mixedEmbedding.negAt_symm, HasFPowerSeriesWithinAt.prod, MeasureTheory.iteratedDeriv_charFun, HasDerivWithinAt.pow', LSeries_tendsto_sub_mul_nhds_one_of_tendsto_sum_div_and_nonneg, ContinuousLinearMap.adjoint_comp_self_injective_iff, iteratedFDeriv_succ_apply_right, fourierSubalgebra_coe, NumberField.InfinitePlace.denseRange_algebraMap_pi, FormalMultilinearSeries.leftInv_coeff_one, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, MeromorphicAt.prod, Polynomial.toAddCircle_monomial_eq_smul_fourier, NumberField.finite_of_discr_bdd, Complex.inner, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, HasDerivWithinAt.sinh, Asymptotics.IsThetaTVS.symm, continuousAt_const_cpow', fderiv_deriv, PadicComplex.norm_eq_norm', Matrix.IsHermitian.spectral_theorem, ContDiffAt.hasStrictFDerivAt_implicitFunction, DifferentiableOn.finset_prod, integrableOn_cfcₙ, Complex.hasStrictDerivAt_sin, Complex.polarCoord_source, hasFPowerSeriesAt_pi_iff, Module.Basis.continuous_toMatrix, norm_cfcₙ_le, derivWithin_ccos, continuousAt_zpow, meromorphicOrderAt_zpow_id_sub_const, hasDerivWithinAt_univ, Asymptotics.isLittleOTVS_neg_right, MulChar.star_apply', ValueDistribution.logCounting_zero_mul_eventually_le, 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, PadicComplex.isUltrametricDist, lp.summable_inner, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, WeakDual.isClosed_polar, Bornology.IsVonNBounded.extend_scalars, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, spec_cfcₙAux, Asymptotics.IsBigOTVS.congr, iteratedDerivWithin_pow, MeasureTheory.measureReal_abs_gt_le_integral_charFun, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, multipliableUniformlyOn_of_clog, EuclideanSpace.piLpCongrLeft_single, HasDerivAt.ofReal_comp, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, Submodule.inner_right_of_mem_orthogonal, Differentiable.inner, LinearMap.IsPositive.trace_nonneg, 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, Asymptotics.IsEquivalent.div, RCLike.ofReal_intCast, HasDerivAt.hasFDerivAt_equiv, Complex.isHomeomorphicTrivialFiberBundle_re, WithSeminorms.congr_equiv, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, NumberField.mixedEmbedding.polarSpaceCoord_target', Continuous.cpow, InnerProductSpaceable.add_left, RCLike.complexRingEquiv_symm_apply, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, Polynomial.isBoundedUnder_abs_atBot_iff, analyticOrderAt_pow, hasStrictDerivAt_const, integrable_cfcₙ', RCLike.ofReal_eq_zero, ContinuousLinearMap.self_comp_adjoint_injective_iff, ContinuousLinearMap.coeFn_compLpL, rotationOf_coe, Real.Lp.fourierTransformCLM_apply, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, hasFDerivWithinAt_euclidean, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, HasFPowerSeriesWithinAt.restrictScalars, DoubleCentralizer.sub_fst, DifferentiableWithinAt.ccosh, NumberField.HeightOneSpectrum.instFiniteAdicCompletionRingOfIntegers, Matrix.PosDef.isStrictlyPositive, Module.Basis.parallelepiped_eq_map, Asymptotics.IsEquivalent.exists_eq_mul, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_blockTriangular, ContDiffMapSupportedIn.norm_apply_le_seminorm, Complex.deriv_tan, contDiffOn_clm_apply, RCLike.re_mul_ofReal, nnnorm_cfc_le, isCauSeq_iff_cauchySeq, MeromorphicAt.frequently_eq_iff_eventuallyEq, fderiv_continuousAlternatingMap_apply_apply, UpperHalfPlane.dist_le_dist_coe_div_sqrt, HasDerivWithinAt.fun_sub, Submodule.starProjection_orthogonal, Seminorm.inf_apply, PiTensorProduct.mapLMultilinear_apply_apply, iteratedDeriv_comp_two, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, ContinuousMap.setOfIdeal_eq_compl_singleton, ContinuousLinearMap.evalL_apply, Complex.hasDerivAt_cosh, isBoundedBilinearMap_apply, FormalMultilinearSeries.analyticOnNhd, meromorphicNFOn_prod, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, EisensteinSeries.tendsto_zero_inv_linear, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, Complex.deriv_const_cpow, RCLike.ofRealCLM_norm, ContinuousLinearMap.IsInvertible.contDiffAt_map_inverse, Matrix.IsHermitian.eigenvectorUnitary_coe, Submodule.ClosedComplemented.of_finiteDimensional, HasStrictDerivAt.comp, Complex.sqrt_map, ContinuousAffineMap.hasFDerivAtFilter, hasStrictFDerivAt_ringInverse, Complex.UnitDisc.coe_smul_closedBall, ContinuousLinearMap.mul_apply', spectralAlgNorm_one, fromTangentSpace_mfderiv_smul, HurwitzZeta.differentiableAt_hurwitzZeta, integrable_cfc', UpperHalfPlane.IsZeroAtImInfty.zero_at_infty_comp_ofComplex, MeromorphicNFOn.zero_set_eq_divisor_support, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, LinearMap.instStarModuleId, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, NumberField.inverse_basisMatrix_mulVec_eq_repr, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasDerivAt.tendsto_slope, RCLike.im_tsum, InnerProductSpace.rankOne_comp_rankOne, TemperedDistribution.fourierTransform_apply, MeasureTheory.convolution_lsmul_swap, MeromorphicOn.circleAverage_log_norm, HasStrictDerivAt.comp_hasStrictFDerivAt, EuclideanGeometry.dist_eq_iff_dist_orthogonalProjection_eq, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, Real.hasStrictDerivAt_arctan, Matrix.PosSemidef.det_nonneg, ProbabilityTheory.charFun_inv_sqrt_mul_sum, Complex.interior_setOf_re_le, DirichletCharacter.deriv_LFunctionTrivChar₁_apply_of_ne_one, HasDerivAtFilter.comp_of_eq, parallelogram_law, Submodule.orthogonal_closure', AnalyticAt.hasFPowerSeriesAt, hasDerivAtFilter_finCons', Asymptotics.IsBigOTVS.eventually_smallSets, Complex.isOpen_im_gt_EReal, Filter.Tendsto.const_cpow, MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, Asymptotics.IsTheta.listProd, nnnorm_apply_le_nnnorm_cfc, TestFunction.fderivCLM_eq_of_scalars, DifferentiableAt.comp_semilinear₁, 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, MeromorphicAt.meromorphicTrailingCoeffAt_smul, analyticOrderAt_id, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, ContinuousAffineMap.hasFDerivAt, BoundedContinuousFunction.instIsBoundedSMul_1, Continuous.cfc, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, LSeries_differentiableOn, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, Polynomial.cyclotomic_eq_minpoly_rat, Matrix.IsHermitian.cfcHom_eq_cfcAux, TestFunction.lineDerivCLM_eq_of_scalars, AnalyticOnNhd.deriv, 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, SchauderBasis.nnnorm_proj_le_nnnormProjBound, Complex.tendsto_norm_tan_of_cos_eq_zero, riemannZeta_eulerProduct, Complex.isOpenQuotientMap_zpow_compl_zero, PadicSeq.stationaryPoint_spec, UpperHalfPlane.eventuallyEq_coe_comp_ofComplex, InnerProductSpace.rankOne_comp, EisensteinSeries.summable_linear_sub_mul_linear_add, HasDerivWithinAt.comp_hasFDerivAt, hasSum_mellin_pi_mul₀, inner_eq_neg_one_iff_of_norm_eq_one, Submodule.mem_orthogonal, ContinuousAffineMap.norm_image_zero_le, StrongDual.mem_polarSubmodule, Complex.differentiableAt_sqrt, exists_dual_vector', MeromorphicAt.fun_prod, derivWithin_inv', 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, HasDerivWithinAt.scomp, ContinuousLinearMap.hasBasis_nhds_zero_of_basis, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, Asymptotics.IsLittleOTVS.snd, hasFPowerSeriesWithinAt_pi_iff, MeromorphicNFOn.fun_zpow, DifferentiableWithinAt.div, UnitAddTorus.hasSum_mFourier_series_of_summable, 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, MDifferentiableWithinAt.clm_comp, HasFDerivWithinAt.continuousMultilinear_apply_const, Bornology.IsVonNBounded.vadd, cfcₙHom_real_eq_restrict, PeriodPair.latticeEquiv_symm_apply, EuclideanSpace.ofLp_single, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, LinearMap.polar_AbsConvex, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, PiTensorProduct.liftIsometry_comp_mapL, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, Complex.closure_setOf_lt_re, UnitAddTorus.mFourierSubalgebra_separatesPoints, MDifferentiableOn.clm_comp, HasStrictDerivAt.fun_const_smul, Complex.betaIntegral_convergent, dist_pointReflection_right, RCLike.nonneg_iff_exists_ofReal, HasDerivWithinAt.congr_deriv, RCLike.geometric_hahn_banach_open, Seminorm.continuous_iSup, EuclideanGeometry.orthogonalProjection_mem, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, HasFPowerSeriesOnBall.r_eq_top_of_exists, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, Commute.cfcHom, fun_iteratedFDerivWithin_sub_apply, AnalyticAt.preimage_of_nhdsNE, inner_eq_one_iff_of_norm_eq_one, HurwitzZeta.differentiableAt_update_of_residue, harmonic_is_realOfHolomorphic, Real.hasDerivAt_cosh, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, fderiv_const_sub, continuousMultilinearCurryLeftEquiv_apply, LeftInvariantDerivation.coe_smul, HasFPowerSeriesAt.deriv, PeriodPair.weierstrassPSeries_hasSum, Affine.Simplex.orthogonalProjectionSpan_restrict, DifferentiableOn.div, LSeries_sum, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, cfc_apply_mem_elemental, Seminorm.coe_sSup_eq, SchwartzMap.norm_toLp_top_le, HasFDerivAt.csin, ContMDiffAt.clm_prodMap, UpperHalfPlane.comp_ofComplex_of_im_le_zero, Asymptotics.IsBigOTVS.rfl, derivWithin_csin, 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, AnalyticAt.exists_eq_sum_add_pow_mul, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, iteratedDerivWithin_comp_const_smul, Complex.closure_reProdIm, range_cfcₙ_subset, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Matrix.isSymmetric_toLin_iff, Real.hasDerivAt_fourierChar, ContinuousLinearMap.intervalIntegral_apply, AnalyticOnNhd.fderiv, span_fourierLp_closure_eq_top, MeromorphicAt.fun_mul, HasFDerivWithinAt.comp_hasDerivWithinAt, hasDerivAt_intCast, Orientation.kahler_rotation_left, multipliable_sineTerm, HasFDerivWithinAt.sub, Seminorm.absorbent_ball_zero, LindemannWeierstrass.integral_exp_mul_eval, HasDerivWithinAt.inv, HasFDerivAtFilter.fun_neg, PiTensorProduct.liftIsometry_symm_apply, nnnorm_cfcₙHom, ModularFormClass.hasSum_qExpansion_of_abs_lt, fderivWithin_continuousAlternatingMap_apply_apply, SchwartzMap.smulLeftCLM_neg, 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, FormalMultilinearSeries.leftInv_comp, DirichletCharacter.LSeries_eulerProduct_hasProd, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.inner_, HasFPowerSeriesAt.const_smul, iteratedFDeriv_succ_eq_comp_right, Complex.hasSum_conj, ContinuousOn.cfcₙ, RCLike.inv_pos_of_pos, derivWithin_comp, ContinuousMultilinearMap.changeOriginSeries_support, PeriodPair.deriv_derivWeierstrassPExcept_self, UpperHalfPlane.meromorphicOrderAt_comp_smul, Differentiable.csinh, curveIntegralFun_sub, Asymptotics.isBigOTVS_fun_comm, RCLike.ofReal_one, ContDiffMapSupportedIn.seminorm_apply, RCLike.toIsOrderedAddMonoid, OrthogonalFamily.eq_ite, AnalyticAt.analyticOrderAt_comp, Complex.hasStrictDerivAt_exp, ContinuousAffineMap.snd_decompLinearIsometryEquiv, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, WithSeminorms.tendsto_nhds_atTop, analyticAt_comp_iff_of_deriv_ne_zero, logDeriv_inv, HasFDerivAt.isThetaTVS_sub, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, Complex.re_tsum, Continuous.inner, Real.enorm_exp_I_mul_ofReal_sub_one_le, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, Seminorm.smul_closedBall_subset, Padic.denseRange_ratCast, HasStrictDerivAt.const_cpow, DoubleCentralizer.algebraMap_fst, AnalyticOnNhd.isClopen_setOf_analyticOrderAt_eq_top, differentiableOn_euclidean, RCLike.reLm_coe, hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, deriv_clm_comp, HasStrictFDerivAt.approximates_deriv_on_open_nhds, Convex.norm_image_sub_le_of_norm_deriv_le, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, ContDiffMapSupportedIn.structureMapCLM_top_apply, ContinuousMultilinearMap.nnnorm_ofSubsingleton, inner_smul_real_left, Balanced.zero_insert_interior, DifferentiableWithinAt.cpow, eigenvalue_mem_ball, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, deriv_ccos, ContDiffOn.fderivWithin, RCLike.natCast_im, tsum_prod_pow_eq_tsum_sigma, norm_le_spectralNorm, WeakDual.metrizable_of_isCompact, PadicAlgCl.valuation_coe, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, MeasureTheory.integrable_condExpL2_indicator, Real.hasDerivAt_Gamma_one_half, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, Asymptotics.IsBigOTVS.triangle, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, ContinuousLinearMap.isEmbedding_restrictScalars, spectrum.hasFDerivAt_resolvent, PadicComplex.coe_zero, meromorphicNFAt_prod, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, RCLike.nnnorm_conj, deriv_comp_of_eq, SchwartzMap.integral_fourier_mul_eq, HasFiniteFPowerSeriesOnBall.eq_partialSum', cfc_comp_norm, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, continuousAt_cpow_const, GaussianFourier.tendsto_verticalIntegral, coe_lpBCFₗᵢ_symm, MeromorphicOn.AnalyticOnNhd.divisor_nonneg, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, coe_lpPiLpₗᵢ_symm, IsBoundedBilinearMap.toContinuousLinearMap_apply, Bornology.isVonNBounded_sub, HasFPowerSeriesOnBall.pi, NormedSpace.isCompact_closure_of_isBounded, HasFPowerSeriesWithinOnBall.fderivWithin_eq, Complex.UnitDisc.continuous_coe, ContinuousMultilinearMap.piₗᵢ_symm_apply, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, Commute.cfc, AlgHom.coe_toContinuousLinearMap, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, NumberField.linearDisjoint_of_isGalois_isCoprime_discr, ContDiffMapSupportedIn.structureMapLM_top_apply, ContinuousLinearMap.ker_adjoint_comp_self, AnalyticAt.analyticOrderAt_ne_top, SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, ContinuousOn.cfcₙ_of_mem_nhdsSet, differentiableAt_const_cpow_of_neZero, tsum_dirichletSummand, Filter.Tendsto.isVonNBounded_range, ContinuousAffineMap.fderivWithin, HasDerivAt.const_mul, AnalyticOnNhd.codiscrete_setOf_analyticOrderAt_eq_zero_or_top, HasDerivWithinAt.congr, SchwartzMap.integralCLM_apply, EulerSine.tendsto_integral_cos_pow_mul_div, linearEquiv_det_rotation, IsCovariantDerivativeOn.add_one_form, MeasureTheory.lpNorm_one, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, PolynormableSpace.withSeminorms', RCLike.norm_two, EuclideanGeometry.exists_dist_eq_iff_exists_dist_orthogonalProjection_eq, hasDerivAt_one, HasDerivAtFilter.fun_neg, Complex.dist_conj_conj, HasStrictFDerivAt.hasStrictDerivAt, circleIntegrable_sub_zpow_iff, FormalMultilinearSeries.radius_shift, Polynomial.fourierCoeff_toAddCircle_natCast, hasFDerivAt_iff_isLittleOTVS, 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, ContinuousAt.clm_bundle_apply₂, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, LinearMap.mkContinuous_norm_le, AffineSubspace.linear_equivMapOfInjective, ContinuousMultilinearMap.hasBasis_nhds_zero_of_basis, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, fderivWithin_derivWithin, hasDerivAt_const_mul, HasDerivWithinAt.ccos, RCLike.sqrt_neg_I, fourierCoeffOn_of_hasDerivAt_Ioo, ContinuousMultilinearMap.isVonNBounded_image2_apply, hasLineDerivAt_iff_tendsto_slope_zero, Circle.coe_eq_one, InnerProductSpace.toContinuousLinearMap_toDualMap, Complex.differentiable_one_div_Gamma, meromorphicNFOn_finprod, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', Valued.integer.properSpace_iff_compactSpace_integer, fderiv_continuousMultilinearMapCompContinuousLinearMap, ContinuousMultilinearMap.opNorm_neg, InnerProductSpace.Core.inner_sub_left, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, MeasureTheory.taylorWithinEval_charFun_two_zero, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, IsSelfAdjoint.commute_cfcₙHom, completeSpace_of_cauSeq_isComplete, HasDerivWithinAt.smul_const, HasFDerivAt.fun_neg, Polynomial.fderivWithin_aeval, inner_eq_ofReal_norm_sq_left_iff, Continuous.const_cpow, 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, Polynomial.fderivWithin, HasFDerivWithinAt.const_cpow, contDiffOn_of_differentiableOn_deriv, 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, 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, ContDiffMapSupportedIn.monoCLM_eq_zero, contDiff_inner, Matrix.linfty_opNorm_toMatrix, hasDerivAt_natCast, cfcL_integral, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, HasDerivAtFilter.fun_sub, Seminorm.rescale_to_shell, HasDerivWithinAt.union, 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, ContinuousWithinAt.clm_bundle_apply₂, ContinuousLinearMap.coe_restrictScalarsL, Function.Periodic.qParam_tendsto, HasDerivWithinAt.add_const, continuousAt_jacobiTheta, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, iter_deriv_inv, PeriodPair.analyticOnNhd_derivWeierstrassP, Matrix.frobenius_norm_mul, Complex.Gammaℝ_residue_zero, Matrix.star_dotProduct_gram_mulVec, Bornology.IsVonNBounded.of_add_left, 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, ContDiff.inv, Matrix.IsHermitian.spectrum_real_eq_range_eigenvalues, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.inv_def, MeromorphicOn.fun_mul, Complex.instTietzeExtension, HasDerivWithinAt.congr_set, MeasureTheory.MemLp.haarAddCircle, Bornology.isVonNBounded_add, RCLike.sqrt_I, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, NumberField.InfinitePlace.Completion.algebraMap_coe, Matrix.PosDef.kronecker, ProperSpace.of_locallyCompact_module, HasStrictFDerivAt.fun_neg, hasDerivWithinAt_zpow, OrthogonalFamily.range_linearIsometry, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, NumberField.mixedEmbedding.convexBodyLT_convex, hasFPowerSeriesOnBall_cuspFunction, Complex.instT2Space, Monotone.deriv_nonneg, UpperHalfPlane.exp_half_dist, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, v_eq_valuation, locallyIntegrableOn_mul_sum_Icc, fderiv_continuousMultilinear_apply_const, Orientation.kahler_mul, HasDerivWithinAt.smul, GaussianFourier.integral_cexp_neg_mul_sum_add, Complex.continuous_ofReal_cpow_const, HasDerivAt.real_of_complex, RCLike.nnnorm_two, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, 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, HasDerivWithinAt.mono, spectralAlgNorm_of_finiteDimensional_normal_def, Submodule.IsOrtho.inner_eq, fderivWithin_csin, Function.Periodic.eventually_differentiableAt_cuspFunction_nhds_ne_zero, LSeries.tendsto_cpow_mul_atTop, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, norm_cfc_le, ContinuousAt.cpow, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, HasFDerivWithinAt.comp_hasDerivAt, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, EuclideanGeometry.orthogonalProjection_orthogonalProjection, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, HasDerivAt.eventually_notMem, ClosedSubmodule.sInf_orthogonal, HasDerivWithinAt.tendsto_nhdsWithin_nhdsNE, HasDerivAt.mul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, HasStrictFDerivAt.isBigOTVS_sub, Matrix.PosSemidef.re_dotProduct_nonneg, ContMDiff.clm_postcomp, EuclideanGeometry.orthogonalProjection_vsub_mem_direction, 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, PadicSeq.lift_index_left, instSMulCommClass_sphere_ball_ball, fun_iteratedFDeriv_sub_apply, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MDifferentiableAt.coordChangeL, Polynomial.isOpenQuotientMap_eval, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, fderivWithin_continuousAlternatingMap_apply_const, dist_left_lineMap, ContDiffAt.clm_comp, EulerSine.antideriv_sin_comp_const_mul, ContinuousLinearMap.norm_restrictScalars, Complex.differentiableAt_cosh, Asymptotics.IsLittleOTVS.isBigOTVS, coe_normSeminorm, ApproximatesLinearOn.closedBall_subset_target, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, Differentiable.fun_finset_prod, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, MDifferentiableWithinAt.clm_postcomp, cosetToCuspOrbit_apply_mk, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, HasDerivWithinAt.const_sub, MeasureTheory.ProbabilityMeasure.tendsto_charPoly_of_tendsto_charFun, NormedSpace.sInter_polar_eq_closedBall, Complex.differentiableAt_Gamma_nat_add_one, TemperedDistribution.instFourierInvSMul, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_dist_eq, HasDerivWithinAt.const_smul, ContMDiff.clm_prodMap, Complex.deriv_cos', Complex.imCLM_coe, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, isBoundedBilinearMap_inner, RCLike.ofReal_pos, Complex.isQuotientMap_im, HasDerivWithinAt.hasDerivAt, DoubleCentralizer.coe_eq_algebraMap, ContinuousLinearMap.opNorm_mul_apply_le, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, DifferentiableAt.cpow_const, RCLike.wInner_zero_left, Polynomial.aeval_ofReal, deriv_pow_field, ZSpan.repr_fract_apply, ContinuousLinearMap.orthogonal_range, HasFiniteFPowerSeriesAt.add, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', MeromorphicOn.min_divisor_le_divisor_add, HasDerivWithinAt.rpow_const, deriv_comp_neg, ContinuousLinearMap.isThetaTVS_comp, AnalyticAt.eventually_eq_or_eventually_ne, meromorphicOrderAt_pow, instSymmEqInnerOfNat, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, MeasureTheory.stronglyMeasurable_charFun, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, TestFunction.fderivCLM_apply_of_gt, Asymptotics.isLittleOTVS_congr, Orthonormal.inner_finsupp_eq_zero, HasStrictFDerivAt.isThetaTVS_sub, hasDerivAt_gronwallBound, hasDerivWithinAt_const_add_iff, Complex.continuous_ofReal, logDeriv_prod, PhragmenLindelof.isBigO_sub_exp_rpow, ContinuousLinearMap.spectralRadius_eq_nnnorm, Orientation.kahler_map, isBigO_deriv_ofReal_cpow_const_atTop, MeasureTheory.convolutionExistsAt_iff_integrable_swap, Complex.not_continuousAt_Gamma_neg_nat, meromorphicTrailingCoeffAt_prod, deriv_div, Polynomial.C_eq_or_isOpenQuotientMap_eval, Complex.derivWithin_const_cpow, range_cfcHom_le, Continuous.cfcₙ', hasDerivAt_ofReal_cpow_const, Polynomial.X_pow_sub_X_sub_one_irreducible_rat, hasDerivAt_norm_rpow, ContinuousLinearMap.spectrum_eq, UnitAddTorus.hasSum_prod_mFourierCoeff, OrthonormalBasis.span_apply, Padic.withValUniformEquiv_cast_apply, inner_sub_right, TendstoUniformlyOn.comp_cexp, NumberField.mixedEmbedding.latticeBasis_apply, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, EuclideanGeometry.vsub_orthogonalProjection_mem_direction, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, spectrum.exp_mem_exp, HasStrictDerivAt.fun_sub, ContinuousLinearMap.isPositive_iff, HasDerivWithinAt.star, Unitization.isUniformEmbedding_addEquiv, AnalyticAt.analyticAt_localInverse, Meromorphic.logDeriv, BoundedContinuousFunction.star_mem_range_charAlgHom, InnerProductSpace.Core.inner_add_right, Seminorm.smul_closedBall_preimage, MeasureTheory.charFun_map_mul_comp, TemperedDistribution.fourierInv_apply, AnalyticAt.eventually_eq_zero_or_eventually_ne_zero, MeromorphicOn.extract_zeros_poles, Matrix.IsHermitian.cfcAux_id, ContinuousOn.cfc', HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, 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, DifferentiableWithinAt.clog, LeftInvariantDerivation.map_neg, meromorphicAt_mul_iff_of_ne_zero, Complex.sin_eq_tsum, LinearMap.polar_univ, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, RCLike.real_smul_ofReal, differentiableAt_jacobiTheta₂_snd, cfcₙ_norm_sq_nonneg, Padic.coe_withValRingEquiv, AnalyticOnNhd.sum_divisor_le, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, TendstoLocallyUniformlyOn.differentiableOn, contDiffOn_of_continuousOn_differentiableOn_deriv, HasFPowerSeriesWithinOnBall.neg, NumberField.mixedEmbedding.measurable_polarCoord_symm, norm_deriv_eq_norm_fderiv, Real.tsum_eq_tsum_fourier_of_rpow_decay, Seminorm.bound_of_shell_sup, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, IsUltrametricDist.normedAlgebra_iff, AnalyticOnNhd.preimage_mem_codiscreteWithin, LSeries.tendsto_atTop, ContinuousLinearMap.bilinearComp_zero_left, HasStrictDerivAt.finCons, one_add_cpow_hasFPowerSeriesOnBall_zero, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, hasDerivAt_zero, SchwartzMap.fderivCLM_fourier_eq, ContinuousMultilinearMap.instContinuousSMul, Complex.hasSum_conj', MeasureTheory.L2.mem_L1_inner, HasFDerivWithinAt.isLittleOTVS, 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, PadicComplex.RankOne.hom_eq_embedding, hasSum_fourier_series_of_summable, Polynomial.supNorm_le_choose_natDegree_div_two_mul_mahlerMeasure, MeromorphicOn.negPart_divisor_add_le_max, fun_meromorphicOrderAt_zpow_id_sub_const, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivAtFilter_iff_hasFDerivAtFilter, hasDerivWithinAt_inter', Complex.hasStrictDerivAt_cpow_const, HasDerivWithinAt.scomp_hasDerivAt, AffineSubspace.subtypeₐᵢ_linearIsometry, MDifferentiableOn.clm_precomp, WithAbs.isUniformInducing_of_comp, RCLike.I_mul_re, VectorField.lieBracketWithin_smul_right, mellin_differentiableAt_of_isBigO_rpow_exp, ContDiffWithinAt.div, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', ContDiff.iterate_deriv', Asymptotics.isEquivalent_iff_tendsto_one, differentiable_neg, RCLike.wInner_neg_left, deriv_comp_mul_left, hasDerivAt_neg, LinearMap.derivWithin, inner_gradientWithin_left, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, iteratedFDeriv_zero_eq_comp, HasStrictDerivAt.prodMk, hasFTaylorSeriesUpToOn_succ_iff_left, HasDerivWithinAt.mul_const, WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded, Padic.isUniformInducing_cast_withVal, HasCompactSupport.hasDerivAt_convolution_left, iteratedFDeriv_sub, Complex.hasSum_taylorSeries_neg_log, Polynomial.hasStrictDerivAt, PeriodPair.hasSumLocallyUniformly_aux, HasDerivWithinAt.cexp, VectorFourier.integral_bilin_fourierIntegral_eq_flip, deriv_clm_apply, 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, HasDerivWithinAt.Ioi_of_Ici, Polynomial.cyclotomic.irreducible_rat, NormedSpace.of_real_exp_ℝ_ℝ, ContinuousLinearMap.adjointAux_inner_right, HasDerivWithinAt.Ioi_iff_Ioo, VectorField.mpullback_mfderivWithin_apply_smul, Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real, NumberField.mixedEmbedding.polarCoord_apply, TemperedDistribution.instLineDerivSMulComplex, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, euler_sineTerm_tprod, MeasureTheory.MemLp.of_haarAddCircle, LinearMap.polar_subMulAction, HilbertBasis.repr_self, HasStrictFDerivAt.clm_apply, discreteTopology_of_bddAbove_range_norm, ContMDiffAt.clm_bundle_apply₂, ContDiffMapSupportedIn.fderivLM_apply, 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, ContinuousAt.cfcₙ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, ContDiffWithinAt.fderivWithin, WeakDual.isCompact_of_bounded_of_closed, ContDiffMapSupportedIn.continuousSMul, Real.hasStrictDerivAt_sin, iteratedFDerivWithin_sub_apply, 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, DifferentiableOn.cexp, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, MeromorphicOn.divisor_smul, UpperHalfPlane.sinh_half_dist_add_dist, HasFDerivAtFilter.isLittleOTVS, NumberField.mixedEmbedding.continuous_normAtAllPlaces, iteratedDerivWithin_eq_equiv_comp, PeriodPair.isClosed_of_subset_lattice, Valued.toNormedField.norm_def, HasFDerivAt.const_sub, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, IsCompact.reProdIm, LinearPMap.adjointDomainMkCLMExtend_apply, nnnorm_cfcₙ_le_iff, HasDerivAt.const_add, WithAbs.pseudoMetricSpace_induced_of_comp, BoundedContinuousFunction.toLp_norm_le, MeasureTheory.charFun_map_mul, iteratedFDerivWithin_two_apply, extDerivWithin_smul, fderiv_ccosh, PeriodPair.not_continuousAt_weierstrassP, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, inner_mul_symm_re_eq_norm, LinearIsometry.im_apply_eq_im, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, PadicAlgCl.charZero, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, HasStrictFDerivAt.cpow, HurwitzZeta.differentiable_cosZeta_of_ne_zero, curveIntegral_fun_sub, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO, 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, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, Asymptotics.IsEquivalent.inv, 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, MeromorphicOn.fun_div, EuclideanGeometry.oangle_self_orthogonalProjection, ValueDistribution.logCounting_top_mul_le, HasDerivWithinAt.of_isLittleO, ContinuousAffineMap.norm_comp_le, contMDiffAt_iff_localFrame_coeff, Complex.nndist_conj_comm, StrongDual.extendRCLike_apply, ContinuousLinearMap.closed_range_of_antilipschitz, Polynomial.exists_monic_and_natDegree_eq_and_norm_map_algebraMap_coeff_sub_lt, LinearMap.IsPositive.inner_nonneg_right, HasDerivAt.div_const, HasDerivAt.scomp_of_eq, Matrix.toEuclideanLin_apply_piLp_toLp, PadicSeq.add_eq_max_of_ne, RCLike.realRingEquiv_apply, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, logDeriv_prod_sineTerm_eq_sum_cotTerm, Complex.differentiableAt_Gamma_one, ContDiffMapSupportedIn.continuous_iff_comp_order_le, Real.differentiable_fourierChar, InnerProductSpace.inner_gramSchmidtOrthonormalBasis_eq_zero, TensorialAt.mkHom₂_apply, 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, ContDiff.hasStrictDerivAt, LinearIsometry.strictConvexSpace_range_iff, mdifferentiable_jacobiTheta, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, Affine.Simplex.altitude_map, ContinuousAlternatingMap.prodLIE_apply, Submodule.mem_orthogonal_singleton_iff_inner_left, ValueDistribution.logCounting_pow_zero, RCLike.ofReal_tsum, hasDerivAt_pow, contDiff_succ_iff_deriv, Submodule.mem_adjoint_iff, Complex.instProperSpace, inner_eq_zero_symm, MeromorphicNFOn.zpow, CPolynomialOn.fderiv, ftaylorSeries_zero, Function.FactorizedRational.extractFactor, max_norm_root_eq_spectralValue, DifferentiableOn.ccosh, integrableOn_mul_sum_Icc, EuclideanSpace.dist_eq, NumberField.mixedEmbedding.normAtPlace_negAt, Complex.nndist_conj_conj, Polynomial.div_tendsto_atTop_zero_of_degree_lt, SchwartzMap.convolution_flip, Orthonormal.orthogonalFamily, HasDerivWithinAt.isLittleO, HasDerivAt.rpow_const, AffineIsometry.toAffineMap_injective, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, contDiffOn_succ_iff_derivWithin, AffineIsometryEquiv.toAffineEquiv_refl, Seminorm.bound_of_shell_smul, HasDerivWithinAt.prodMk, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, LinearMap.isSymmetric_iff_sesqForm, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, logDeriv_const_mul, HasDerivAt.div, Complex.isometryOfOrthonormal_apply, HasDerivAt.continuousAt_div, IsConformalMap.smul, nndist_lineMap_lineMap, isCoveringMap_npow, Irreducible.maximalIdeal_eq_closedBall, Complex.frontier_setOf_le_re_and_le_im, HasDerivWithinAt.pow, Complex.sameRay_iff, Complex.instContinuousMapUniqueHom, Circle.normSq_coe, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular, Complex.hasDerivAt_Gamma_one, TemperedDistribution.fourierMultiplierCLM_sum, ContMDiffCovariantDerivativeOn.contMDiff, Orientation.areaForm_map_complex, NumberField.mixedEmbedding.normAtPlace_smul, PeriodPair.hasSum_weierstrassPExcept, intervalIntegral.integral_smul_const, Polynomial.deriv, FormalMultilinearSeries.derivSeries_eq_zero, HilbertBasis.summable_inner_mul_inner, TestFunction.lineDerivCLM_smul, Polynomial.div_tendsto_zero_of_degree_lt, NumberField.mixedEmbedding.fundamentalCone.isBounded_normLeOne, ContinuousLinearMap.isPositive_iff', ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, HasDerivAtFilter.isEquivalent_sub, Real.hasDerivAt_tan_of_mem_Ioo, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, NumberField.mixedEmbedding.finrank, ContinuousLinearMap.star_eq_adjoint, SchwartzMap.integral_fourier_smul_eq, UnconditionalSchauderBasis.bddAbove_range_nnnorm_proj, AffineMap.differentiableOn, Complex.imCLM_nnnorm, FormalMultilinearSeries.comp_rightInv, ContinuousMultilinearMap.curryLeft_apply, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, HasStrictDerivAt.fun_neg, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, ContMDiffWithinAt.coordChangeL, Polynomial.hasFDerivWithinAt_aeval, HasFPowerSeriesWithinAt.neg, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one, Bornology.IsVonNBounded.closure, UpperHalfPlane.contMDiffAt_ofComplex, continuousOn_cfcₙ_setProd, Meromorphic.fun_prod, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, Differentiable.div_const, ModularForm.prod_fintype_slash, GaussianFourier.integral_cexp_neg_sum_mul_add, ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_pow, 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, logDeriv_fun_zpow, AlternatingMap.mkContinuousLinear_norm_le, fun_meromorphicOrderAt_mul, ModularFormClass.bounded_at_infty_comp_ofComplex, ProperCone.hyperplane_separation_of_notMem, HasStrictDerivAt.ccosh, OrthonormalBasis.inner_eq_one, NumberField.mixedEmbedding.convexBodySum_isBounded, RCLike.ofReal_mul_neg_iff, LinearMap.continuous_of_isClosed_ker, ContinuousOn.const_cpow, orthogonalFamily_iff_pairwise, fderiv_clm_apply, Complex.sameRay_iff_arg_div_eq_zero, Complex.arg_eq_nhds_of_im_pos, ModularForm.holo', FormalMultilinearSeries.radius_le_radius_derivSeries, ContinuousAlternatingMap.curryLeftLI_apply, Complex.tendsto_one_add_pow_exp_of_tendsto, LDL.diag_eq_lowerInv_conj, deriv_comp_const_add, eventuallyConst_iff_analyticOrderAt_sub_eq_top, iteratedDerivWithin_id, NumberField.mixedEmbedding.polarSpaceCoord_apply, Real.nonempty_algEquiv_or, HasDerivAt.iterate, Padic.coe_withValRingEquiv_symm, RCLike.norm_sq_re_add_conj, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, Complex.starConvex_slitPlane, ContDiffOn.div_const, ContinuousLinearMap.norm_compSL_le, Matrix.IsHermitian.eigenvalues_mem_spectrum_real, TestFunction.monoCLM_apply, MeromorphicAt.zpow, RCLike.nnnorm_nnqsmul, ContDiffMapSupportedIn.withSeminorms, ContMDiffFiberwiseLinear.locality_aux₁, MeasureTheory.withDensityᵥ_smul, NumberField.mixedEmbedding.negAt_apply_norm_isReal, Bornology.isVonNBounded_vadd, SchauderBasis.enorm_proj_le_enormProjBound, 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, Filter.Tendsto.cexp, Valued.integer.isUnit_iff_norm_eq_one, ContMDiffMap.smul_comp', fourier_zero', HurwitzZeta.hasSum_int_sinZeta, spectrum.resolvent_tendsto_cobounded, Complex.differentiable_sinh, Seminorm.absorbent_closedBall, InnerProductSpace.isIdempotentElem_rankOne_self_iff, HasDerivAt.tendsto_slope_zero, fderivWithin_continuousLinearEquiv_comp, ContinuousMultilinearMap.toUniformOnFun_toFun, HasDerivAtFilter.hasFDerivAtFilter, 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, Complex.summable_log_one_add_of_summable, Function.Periodic.tendsto_at_I_inf, StrongDual.toLp_apply, StrongDual.polar_empty, ArithmeticFunction.LSeries_zeta_eulerProduct_exp_log, Asymptotics.IsThetaTVS.trans, 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, DifferentiableWithinAt.fun_finset_prod, 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, HasStrictDerivAt.sinh, cpow_eq_nhds', MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, Bornology.isVonNBounded_insert, hasDerivWithinAt_abs_neg, StieltjesFunction.ae_hasDerivAt, InnerProductSpaceable.innerProp, Continuous.clm_bundle_apply₂, algNormFromConst_def, instSMulCommClass_closedBall_closedBall_ball, jacobiTheta_eq_tsum_nat, LinearIsometry.strictConvexSpace_range, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, ContinuousLinearMap.opNorm_neg, Asymptotics.IsLittleOTVS.mono, 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, DifferentiableAt.cexp, ContDiffAt.cexp, Submodule.fstL_comp_coe_orthogonalDecomposition, UpperHalfPlane.contMDiffAt_iff, iter_deriv_inv_linear_sub, MeromorphicOn.pow, Orientation.kahler_apply_apply, RCLike.imCLM_coe, ContinuousLinearMap.add_compLpL, Asymptotics.IsThetaTVS.trans_isLittleOTVS, Complex.nhdsWithin_stolzCone_le_nhdsWithin_stolzSet, IsHilbertSum.linearIsometryEquiv_symm_apply_single, IsSelfAdjoint.adjoint_conj, Asymptotics.IsBigOTVS.trans_isThetaTVS, Complex.taylorSeries_eq_on_eball', closedAbsConvexHull_eq_closure_absConvexHull, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero, Complex.differentiableAt_sinh, HasDerivAt.inner, HasFPowerSeriesAt.prod, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', hasStrictDerivAt_natCast, Complex.hasDerivAt_Gamma_one_half, Function.Periodic.differentiable_qParam, VectorPrebundle.contMDiffOn_contMDiffCoordChange, ModularForm.slash_def, 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, Meromorphic.finprod, AlternatingMap.mkContinuousAlternating_norm_le_max, Complex.analyticOnNhd_iff_differentiableOn, 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, norm_apply_le_norm_cfc, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', HasStrictDerivAt.hasDerivAt, MeasureTheory.Lp.toTemperedDistribution_toLp_eq, Asymptotics.IsLittleOTVS.trans, 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, meromorphicOrderAt_zpow, ContDiffMapSupportedIn.fderivCLM_apply_of_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, Complex.isQuotientMap_re, ContinuousLinearMap.adjoint_inner_right, Circle.coeHom_apply, exists_extension_norm_eq, MeasureTheory.taylorWithinEval_charFun_two_zero', AnalyticOn.hasFPowerSeriesOnBall, Complex.dist_conj_comm, contDiff_of_differentiable_iteratedDeriv, rootsOfUnityCircleEquiv_apply, MeasureTheory.integral_fintype_prod_volume_eq_prod, CuspFormClass.zero_at_infty_slash, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, RCLike.mul_re, hasStrictDerivAt_exp_zero_of_radius_pos, LinearMap.isPositive_iff, differentiableAt_conj_conj_iff, HasStrictFDerivAt.continuousAlternatingMap_apply_const, NormedSpace.closedBall_inv_subset_polar_closedBall, integrable_cfc, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, UnitAddTorus.span_mFourier_closure_eq_top, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, MeromorphicAt.div, MeasureTheory.withDensityᵥ_smul', analyticOrderAt_mul_eq_top_of_left, 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, ContinuousAffineMap.fst_decompLinearIsometryEquiv, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, det_rotation, RCLike.enorm_conj, UpperHalfPlane.mdifferentiable_coe, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, Circle.coe_inj, Complex.hasProd_of_hasSum_log, orthonormal_iff_ite, RCLike.wInner_add_left, SchwartzMap.integral_smul_laplacian_right_eq_left, SchwartzMap.le_seminorm', Complex.arg_eq_nhds_of_re_pos, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, ContinuousOn.inner, RCLike.re_le_neg_norm_iff_eq_neg_norm, OrthonormalBasis.coe_equiv_euclideanSpace, StrongDual.im_extendRCLike_apply, complexOfReal_fderiv, summable_cotTerm, RCLike.conjAe_coe, AffineIsometryEquiv.coe_symm_toContinuousAffineEquiv, continuousAt_jacobiTheta₂', NormedSpace.algebraMap_exp_comm_of_mem_ball, continuous_cfcₙAux, RCLike.neg_iff_exists_ofReal, RCLike.wInner_one_eq_sum, UnconditionalSchauderBasis.nnnorm_proj_le_nnnormProjBound, derivWithin_div, ContinuousAffineMap.hasFDerivWithinAt, InnerProductSpace.Core.inner_add_add_self, ContDiffOn.inv, inner_self_eq_one_of_norm_one, ContinuousAlternatingMap.nnnorm_ofSubsingleton, norm_cfcHom, PeriodPair.weierstrassPExceptSeries_hasSum, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, EisensteinSeries.eisSummand_extension_differentiableOn, RCLike.to_complex_nonneg_iff, EuclideanSpace.dist_sq_eq, integral_ofReal, HasFiniteFPowerSeriesOnBall.fderiv', RCLike.sqrt_zero, ContinuousLinearMap.le_of_opNorm₂_le_of_le, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, Complex.isOpenQuotientMap_pow_compl_zero, Complex.IsExactOn.with_val_at, iteratedFDerivWithin_clm_apply_const_apply, ContinuousMultilinearMap.currySum_apply, isOpenMap_barycentric_coord, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, Affine.Simplex.signedInfDist_affineCombination, tendsto_sum_mul_atTop_nhds_one_sub_integral, Complex.deriv_sinh, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, Polynomial.differentiableWithinAt_aeval, intervalIntegral.intervalIntegrable_cpow', Complex.deriv_sin, signedDist_apply, HasDerivAt.pow', UniformSpace.Completion.inner_coe, Unitization.norm_splitMul_snd_sq, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, Matrix.IsHermitian.star_mul_self_mul_eq_diagonal, UnitAddTorus.hasSum_mFourier_series_apply_of_summable, ProbabilityTheory.iIndepFun.integral_fun_prod_eq_prod_integral, 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, LinearMap.IsSymmetric.charpoly_eq, TestFunction.instLineDerivSMulTopENat, EuclideanSpace.inner_toLp_toLp, NumberField.mixedEmbedding.polarSpaceCoord_source, TemperedDistribution.lineDerivOp_fourierInv_eq, RCLike.im_ofReal_mul, Complex.hasSum_taylorSeries_log, fourierCoeffOn_eq_integral, Differentiable.clog, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, Matrix.l2_opNNNorm_diagonal, MeromorphicOn.negPart_divisor_add_le_add, UpperHalfPlane.dist_coe_le, CompactConvergenceCLM.continuousSMul, mfderiv_smul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, spectrum.exists_nnnorm_eq_spectralRadius, derivWithin_csinh, HasFDerivAt.hasGradientAt, ordinaryHypergeometric_radius_top_of_neg_nat₁, Complex.circleTransformDeriv_bound, 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, Matrix.IsHermitian.eigenvectorUnitary_transpose_apply, HasDerivAtFilter.finCons, Complex.lintegral_comp_pi_polarCoord_symm, RCLike.instOrderClosedTopology, FormalMultilinearSeries.coeff_iterate_fslope, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOn, HasFPowerSeriesAt.eq_zero, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, conformalAt_iff_differentiableAt_or_differentiableAt_comp_conj, ContMDiffWithinAt.clm_prodMap, Filter.Tendsto.inner, ContDiffMapSupportedIn.fderivCLM_apply, RCLike.geometric_hahn_banach_of_nonempty_interior, 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, TestFunction.fderivCLM_apply, continuous_descPochhammer_eval, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, MeromorphicAt.inv, Complex.equivRealProdCLM_symm_apply_im, analyticOrderNatAt_pow, meromorphicOrderAt_id_sub_const, AddChar.linearIndependent, RCLike.instPosMulReflectLE, SchwartzMap.fourierMultiplierCLM_fourierMultiplierCLM_apply, Complex.polarCoord_symm_apply, nndist_homothety_center, AnalyticOnNhd.is_constant_or_isOpen, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, complexOfReal_hasDerivAt, UnitAddTorus.mFourier_single, Real.hasFDerivAt_fourierChar_neg_bilinear_right, NumberField.InfiniteAdeleRing.norm_def, EuclideanGeometry.orthogonalProjection_eq_self_iff, DifferentiableWithinAt.cexp, summable_bernoulli_fourier, RCLike.re_extendTo𝕜ₗ, ModularFormClass.differentiableOn_cuspFunction_ball, Padic.norm_rat_le_one_iff_padicValuation_le_one, Unitization.splitMul_injective, MeromorphicOn.fun_inv, Antitone.deriv_nonpos, ZMod.differentiable_completedLFunction₀, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContDiffMapSupportedIn.continuous_iff_comp, Matrix.IsHermitian.posDef_iff_eigenvalues_pos, EuclideanGeometry.reflection_subtype, PeriodPair.periodic_weierstrassP, differentiable_tsum', DoubleCentralizer.sub_snd, ModularFormClass.holo, Meromorphic.inv, Seminorm.uniformContinuous', Complex.differentiableOn_update_limUnder_insert_of_isLittleO, RCLike.ofReal_im_ax, HasStrictDerivAt.div_const, ZMod.toCircle_apply, HasStrictDerivAt.fun_mul, Polynomial.differentiable, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, PadicInt.isOpenEmbedding_coe, ContinuousLinearEquiv.coord_norm', completedRiemannZeta_residue_one, ContinuousLinearMap.nnnorm_id, fderivWithin_continuousAlternatingMap_apply, GaussianFourier.integrable_cexp_neg_sum_mul_add, HasDerivAt.fun_inv, cfc_setIntegral', iteratedDerivWithin_comp_eq_sum_orderedFinpartition, DifferentiableAt.div_const, absConvexHull_eq_convexHull_balancedHull, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, Complex.hasSum_sinh, hom_chart, Rat.surjective_padicValuation, HasDerivWithinAt.continuousOn, cfcₙ_setIntegral', div_le_egauge_closedBall, NumberField.mixedEmbedding.polarCoord_target_eq_polarCoordReal_target, analyticOrderNatAt_mul, hasStrictFDerivAt_inv', AffineIsometryEquiv.coe_vaddConst', LinearMap.mem_span_iff_bound, Circle.arg_exp, WithSeminorms.partial_sups, hasDerivAt_mul_const, HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, cfcₙ_apply_mem_elemental, HasStrictDerivAt.add_const, Module.Basis.ofZLatticeBasis_repr_apply, MeromorphicAt.eventuallyEq_nhdsNE_of_eventuallyEq_codiscreteWithin, DifferentiableOn.clog, derivWithin_id, Matrix.IsHermitian.eigenvalues_eq_zero_iff, dist_midpoint_midpoint_le', ContinuousOn.cpow, iteratedDeriv_fun_pow_zero, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, LinearMap.dualEmbedding_injective_of_separatingRight, Homeomorph.contDiff_symm_deriv, Complex.continuousOn_sqrt, dist_algebraMap, StrongDual.re_extendRCLike_apply, SchwartzMap.fourier_convolution_apply, UpperHalfPlane.sinh_half_dist, Seminorm.smul_ball_zero, Complex.hasStrictFDerivAt_log_real, Complex.differentiableAt_Gamma, Asymptotics.isBigOTVS_map, ContinuousOn.clog, iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, Real.hasStrictDerivAt_tan, AffineSubspace.isometryEquivMap.apply_symm_apply, RCLike.instNormSMulClassInt, ContDiffAt.inner, IsUltrametricDist.isNonarchimedean_algNormOfAlgEquiv, WeakDual.isSeqCompact_of_isBounded_of_isClosed, 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, Asymptotics.IsBigOTVS.neg_left, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, MeromorphicAt.fun_zpow, Complex.IsConservativeOn.isExactOn_ball, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, ContDiffOn.continuousOn_deriv_of_isOpen, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, HasDerivWithinAt.cpow_const, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, meromorphicNFAt_mul_iff_right, PadicInt.nthHomSeq_one, instPerfectSpace, MDifferentiable.clm_precomp, Complex.arg_eq_nhds_of_re_neg_of_im_pos, MDifferentiable.clm_comp, Real.differentiable_fourierChar_neg_bilinear_left, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ContDiffMapSupportedIn.fderivLM_apply_of_le, EisensteinSeries.summable_linear_right_add_one_mul_linear_right, IsUltrametricDist.isPowMul_algNormOfAlgEquiv, DifferentiableOn.fun_div, ContMDiff.clm_comp, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, IsSelfAdjoint.commute_cfcₙ, FormalMultilinearSeries.le_radius_pi, Quaternion.coe_ofComplex, Real.hasDerivAt_arctan, UpperHalfPlane.σ_conj, continuousMultilinearCurryLeftEquiv_symm_apply, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, WithLp.unitization_mul, UnitAddTorus.mFourierCoeff_eq_integral, hasDerivAt_exp_smul_const', dist_right_lineMap, DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, HasStrictDerivAt.finset_prod, 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, isOpenMap_of_hasStrictDerivAt, EuclideanSpace.nnnorm_eq, Complex.deriv_sqrt, AnalyticOnNhd.map_codiscreteWithin, norm_apply_le_norm_cfcₙ, HasDerivAt.comp_hasFDerivAt, innerₛₗ_apply_coe, MeasureTheory.SignedMeasure.toComplexMeasure_apply_im, ContinuousLinearMap.isUniformEmbedding_toUniformOnFun, iteratedDerivWithin_scomp_two, RCLike.nnnorm_natCast, fderiv_csinh, Complex.sin_eq_tsum', PiLp.inner_apply, mellin_differentiableAt_of_isBigO_rpow, Asymptotics.IsLittleOTVS.congr_right, ContinuousAt.clog, 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, MeromorphicOn.AnalyticOnNhd.divisor_apply, differentiableAt_of_deriv_ne_zero, ContDiffMapSupportedIn.fderivLM_apply_of_gt, EuclideanSpace.restrict₂_apply, HasDerivAt.hasDerivAtFilter, ZMod.LFunction_residue_one, contMDiffOn_coordChangeL, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, PadicSeq.norm_const, DiffContOnCl.ball_subset_image_closedBall, NumberField.mixedEmbedding.convexBodySum_convex, ProbabilityTheory.iIndepFun.integral_fun_prod_comp, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, PeriodPair.mul_ω₁_add_mul_ω₂_mem_lattice, range_cfcHom, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, RCLike.iInter_halfSpaces_eq', 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, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, cpow_eq_nhds, hasGradientWithinAt_iff_tendsto, InnerProductSpace.add_left, ContDiffMapSupportedIn.structureMapCLM_zero_injective, EuclideanSpace.inner_single_right, sum_mul_eq_sub_integral_mul, TemperedDistribution.fourier_apply, RCLike.iInter_halfSpaces_eq, StrongDual.polar_zero, ContinuousMultilinearMap.piₗᵢ_apply, nnnorm_cfcHom, Module.Basis.opNNNorm_le, integrableOn_cfc, ContMDiffWithinAt.clm_precomp, 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, continuousOn_cfc, HasDerivAtFilter.comp, AffineIsometryEquiv.norm_map, ContinuousLinearMap.coe_complexOfReal, MeasureTheory.Integrable.fourier_smul, LinearMap.coe_toContinuousLinearMap_symm, Complex.frontier_setOf_le_re_and_im_le, continuousMultilinearCurryFin1_symm_apply, HasStrictDerivAt.fun_add, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, Complex.continuousAt_Gamma, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, HasDerivAt.comp_of_eq, MeasureTheory.lpMeasToLpTrim_ae_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, RCLike.normSq_add, MeasureTheory.eLpNorm_condExpL2_le, Complex.integral_boundary_rect_of_differentiableOn_real, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, Asymptotics.IsEquivalent.listProd, iteratedFDeriv_sub_apply, closure_diff_intrinsicInterior, MeromorphicOn.mul, hasDerivAt_iff_tendsto, ProbabilityTheory.iIndepFun.integral_prod_comp, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, Complex.differentiable_iteratedDeriv_cos, ContinuousLinearEquiv.coord_self, sub_smul_dslope, UniformOnFun.continuousSMul_submodule_of_image_bounded, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, riemannZeta_residue_one, setIntegral_re_add_im, RCLike.geometric_hahn_banach_compact_closed, SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, norm_iteratedFDeriv_smul_le, Complex.ofReal_tsum, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, ContDiffAt.differentiableAt_iteratedFDeriv, HasDerivWithinAt.continuousWithinAt, Orientation.oangle_map_complex, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, MeasureTheory.lpNorm_one', HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, AddChar.coe_complexBasis, Matrix.toEuclideanLin_eq_toLin_orthonormal, ContDiffOn.smulRight, Polynomial.toAddCircle_X_eq_fourier_one, isTheta_deriv_ofReal_cpow_const_atTop, MeasureTheory.lpMeasToLpTrim_smul, Real.hasStrictDerivAt_const_rpow, Complex.differentiable_cos, HasStrictDerivAt.cos, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, MeromorphicAt.fun_div, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, spectrum.hasDerivAt_resolvent_const_right, RCLike.geometric_hahn_banach_point_closed, Complex.IsConservativeOn.eventually_nhds_wedgeIntegral_sub_wedgeIntegral, hasDerivWithinAt_intCast, differentiableWithinAt_zpow, CircleIntegrable.out, ContMDiff.clm_precomp, RCLike.intervalIntegral_ofReal, UniformSpace.Completion.continuous_inner, contDiffOn_infty_iff_deriv_of_isOpen, 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, HasFPowerSeriesAt.has_fpower_series_dslope_fslope, UpperHalfPlane.mdifferentiableAt_iff, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContMDiffOn.clm_prodMap, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, OrthonormalBasis.coe_singleton, fourierCoeffOn_of_hasDerivAt, noncompactSpace, ContinuousLinearMap.hasDerivWithinAt, UpperHalfPlane.IsZeroAtImInfty.slash, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, HasDerivWithinAt.comp_of_eq, FormalMultilinearSeries.derivSeries_apply_diag, ContMDiffWithinAt.clm_comp, NormedSpace.polar_closedBall, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, derivWithin_comp_const_add, Submodule.norm_orthogonalProjection, Seminorm.coe_iSup_eq, AnalyticAt.fderiv, PadicComplex.nnnorm_extends', HasDerivAt.conj_conj, Matrix.l2_opNNNorm_conjTranspose_mul_self, NumberField.canonicalEmbedding_eq_basisMatrix_mulVec, fderiv_comp_smul, iteratedFDeriv_clm_apply_const_apply, integrable_cexp_quadratic, AffineSubspace.signedInfDist_apply_self, Asymptotics.IsLittleOTVS.add, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, Complex.image_exp_Ioc_eq_sphere, ContinuousLinearMap.opNorm_lsmul, IsOpen.isOpen_inter_preimage_of_deriv_eq_zero, 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, HasGradientAt.hasDerivAt, UpperHalfPlane.denom_cocycle', 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, HasCompactSupport.deriv, NormedSpace.double_dual_bound, instFieldContMDiffRing, hasGradientWithinAt_iff_isLittleO, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, CStarAlgebra.toStarModule, spectralAlgNorm_isPowMul, PointwiseConvergenceCLM.withSeminorms, PeriodPair.indep, UpperHalfPlane.tanh_half_dist, MeasureTheory.convolution_eq_swap, Module.Basis.opNorm_le, MeromorphicOn.fun_prod, AffineIsometryEquiv.toAffineEquiv_symm, fun_meromorphicOrderAt_inv, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, Real.tsum_eq_tsum_fourierIntegral, AnalyticOnNhd.preimage_zero_mem_codiscreteWithin, ContDiff.fderiv_right, hasDerivAt_const_add_iff, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, HasFPowerSeriesWithinOnBall.tendsto_partialSum, RCLike.conj_eq_re_sub_im, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', MeromorphicOn.finsum, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, DFinsupp.inner_sum, ContDiffOn.deriv_of_isOpen, SchwartzMap.tsum_eq_tsum_fourierIntegral, Orientation.kahler_rightAngleRotation_right, fderiv_csin, Polynomial.mul_star_dvd_of_aeval_eq_zero_im_ne_zero, ContinuousAt.const_cpow, ZSpan.repr_floor_apply, MeromorphicOn.divisor_def, WithSeminorms.continuous_iff_continuous_comp, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, inner_matrix_row_row, MeasureTheory.condExpIndSMul_ae_eq_smul, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.rayleighQuotient_neg_apply, 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, gaugeSeminorm_lt_one_of_isOpen, logDeriv_mul_const, Asymptotics.IsLittleOTVS.fun_add, PolynormableSpace.withSeminorms, contDiff_infty_iff_fderiv, MeasureTheory.charFun_eq_integral_innerProbChar, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, valuation_apply, hasFDerivWithinAt_iff_isLittleOTVS, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Asymptotics.isBigOTVS_prodMk_left, MeasureTheory.lpMeas.ae_fin_strongly_measurable', Unitization.lipschitzWith_addEquiv, gaugeSeminormFamily_ball, hasStrictDerivAt_id, curveIntegral_sub, cfcₙL_integrable, MeromorphicNFAt.fun_zpow, Matrix.IsHermitian.charpoly_eq, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, UpperHalfPlane.σ_eventuallyEq, hasProdUniformlyOn_of_clog, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, HasGradientAt.fderiv_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, TemperedDistribution.derivCLM_apply_apply, Complex.hasDerivAt_exp, HurwitzZeta.hasSum_int_completedCosZeta, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, deriv_neg, AffineIsometryEquiv.toContinuousAffineEquiv_injective, OpenPartialHomeomorph.hasStrictDerivAt_symm, integral_re, Complex.hasSum_cosh, ContinuousLinearMap.finite_dimensional_eigenspace, 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, Complex.taylorSeries_eq_of_entire', HasFDerivAt.cpow, LinearPMap.mem_adjoint_domain_of_exists, MeromorphicOn.countable_compl_analyticAt, Complex.conj_tsum, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, Real.hasStrictDerivAt_rpow_const, IsCovariantDerivativeOn.affine_combination, Matrix.instStarOrderedRing, VectorField.lieBracket_smul_right, UpperHalfPlane.σ_mul_comm, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, PeriodPair.summable_weierstrassPExceptSummand, CurveIntegrable.sub, HasFiniteFPowerSeriesOnBall.fderiv_eq, PreInnerProductSpace.Core.add_left, ModularForm.coe_trace, integrable_mul_cexp_neg_mul_sq, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, analyticOrderAt_mul_eq_top_of_right, Complex.frontier_setOf_le_im, Function.Periodic.differentiableAt_cuspFunction_zero, Complex.hasDerivAt_log_sub_logTaylor, Complex.GammaIntegral_convergent, hasStrictDerivAt_iff_hasStrictFDerivAt, MeasureTheory.hausdorffMeasure_homothety_preimage, TestFunction.lineDerivCLM_apply_of_gt, WithSeminorms.isVonNBounded_iff_seminorm_bounded, InnerProductSpace.HarmonicOnNhd.exists_analyticOnNhd_ball_re_eq, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, HasStrictDerivAt.complexToReal_fderiv, MeromorphicNFAt.inv, ContinuousWithinAt.clog, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, Complex.isOpenMap_exp, ConvexOn.exists_affine_le_of_lt, HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, HasDerivWithinAt.comp_hasDerivAt, 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, hasDerivAt_exp_of_mem_ball, AnalyticAt.map_nhdsNE, hasStrictDerivAt_exp_smul_const_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, tendsto_algebraMap_cobounded, HasDerivWithinAt.fun_sum, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, mdifferentiableAt_localFrame_coeff, Real.probChar_apply, StrongDual.polar_singleton, Real.hasDerivAt_Gamma_nat, AffineSubspace.equivMapOfInjective_toFun, ordinaryHypergeometricSeries_norm_div_succ_norm, Matrix.IsHermitian.conjStarAlgAut_star_eigenvectorUnitary, HasStrictFDerivAt.inner, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, hasDerivAt_pi, ContinuousWithinAt.cfc, nndist_right_midpoint, HasStrictDerivAt.hasStrictFDerivAt_equiv, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, HasDerivAt.of_notMem_tsupport, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, derivWithin_fun_inv', Meromorphic.fun_div, dist_algebraMap', Meromorphic.fun_pow, EuclideanGeometry.orthogonalProjection_sup_of_orthogonalProjection_eq, hasFDerivAt_inv', LinearMap.toMatrix_adjoint, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Matrix.IsStrictlyPositive.posDef, tendsto_euler_sin_prod', HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, hasDerivWithinAt_finCons, inner_eq_one_iff_of_norm_one, ProbabilityTheory.charFun_gaussianReal, HasDerivAt.const_cpow, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, exists_continuousLinearEquiv_fderiv_symm_eq, Complex.polarCoord_target, RCLike.conj_smul, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, Seminorm.absorbent_ball, differentiableAt_dslope_of_ne, Complex.map_isometryOfOrthonormal, Complex.hasDerivAt_log, DifferentiableAt.ccos, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, multipliableUniformlyOn_euler_sin_prod_on_compact, hasDerivAt_zpow, TemperedDistribution.fourierTransformInv_apply, HasDerivAt.sin, AnalyticAt.frequently_eq_iff_eventually_eq, TensorialAt.mkHom₂_apply_eq_extend, MeasureTheory.AEStronglyMeasurable.convolution_integrand', Circle.coe_injective, Complex.hasSum_cos, ModularGroup.isClosed_coe_fd, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, mfderiv_neg, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, isClosedMap_smul_left, Asymptotics.IsBigOTVS.mono, Asymptotics.IsLittleOTVS.proj, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, instSMulCommClass_sphere_sphere_closedBall, UpperHalfPlane.contMDiff_smul, 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, Matrix.IsHermitian.mulVec_eigenvectorBasis, ValueDistribution.log_counting_zero_sub_logCounting_top, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', zeta_nat_eq_tsum_of_gt_one, Matrix.l2_opNorm_def, Asymptotics.IsBigOTVS.trans, PadicSeq.stationary, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', UpperHalfPlane.tendsto_comap_im_ofComplex, Circle.coe_zpow, Asymptotics.IsTheta.mul, OrthogonalFamily.linearIsometry_apply, HasFiniteFPowerSeriesOnBall.sub, RCLike.wInner_nonneg, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Bornology.isVonNBounded_singleton, Matrix.toEuclideanLin_toLp, IsKrasner.of_completeSpace, nnnorm_cfcₙ_le, Asymptotics.isTheta_const_mul_left, LinearMap.IsSymmetric.toMatrix_eigenvectorBasis, ContinuousLinearMapWOT.continuous_dual_apply, integral_re_add_im, HasStrictDerivAt.neg, 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, CauchySeq.isCauSeq, Complex.reCLM_enorm, AffineMap.antilipschitzWith_of_finiteDimensional, 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, Subalgebra.SeparatesPoints.rclike_to_real, riemannZeta_eulerProduct_hasProd, norm_innerSL_le, AffineSubspace.subtypeₐᵢ_toAffineMap, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Padic.instProperSpace, DirichletCharacter.LSeries_eulerProduct, Differentiable.const_cpow, integrable_cexp_quadratic', Complex.hasDerivWithinAt_sqrt, HasStrictFDerivAt.sub, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.csinh, ContMDiffWithinAt.cle_arrowCongr, ZMod.differentiable_LFunction_of_sum_zero, PeriodPair.lattice_eq_span_range_basis, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, WeakDual.isClosed_image_coe_of_bounded_of_closed, 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, HasDerivAt.comp_add_const, Submodule.starProjection_coe_eq_isCompl_projection, ContinuousWithinAt.cexp, HasFDerivAt.neg, Bornology.isVonNBounded_of_smul_tendsto_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, Complex.frontier_reProdIm, RCLike.ofRealAm_coe, meromorphicOrderAt_prod, RCLike.normSq_one, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, orthonormal_vecCons_iff, AffineMap.deriv, ContinuousAlternatingMap.prodLIE_symm_apply, Submodule.ClosedComplemented.of_quotient_finiteDimensional, DifferentiableOn.hasDerivAt, Bornology.sUnion_isVonNBounded_eq_univ, contDiffOn_infty_iff_derivWithin, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, Complex.conjCAE_toAlgEquiv, 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, ContDiffOn.cexp, AnalyticOnNhd.iterated_deriv, 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, contDiffOn_iff_continuousOn_differentiableOn_deriv, 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, fderivWithin_clm_apply, exists_continuousLinearEquiv_fderivWithin_symm_eq, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, hasDerivAt_of_tendsto_locally_uniformly_on', UpperHalfPlane.mdifferentiable_denom_zpow, MeromorphicAt.meromorphicTrailingCoeffAt_mul, Unitization.continuous_fst, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, FormalMultilinearSeries.rightInv_coeff_one, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay, ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhd, EuclideanSpace.single_apply, RCLike.isCauSeq_re, Pi.orthonormalBasis_repr, fderiv_continuousAlternatingMap_apply_const_apply, RCLike.hasSum_conj', DifferentiableAt.cpow, MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, Matrix.PosDef.det_pos, Complex.frontier_setOf_im_le, ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, differentiableAt_iff_comp_sub_const, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, Complex.range_exp_mul_I, complexOfReal_derivWithin, Submodule.IsCompl.projection_isSymmetric_iff, MeasureTheory.lpMeas.ae_eq_zero_of_forall_setIntegral_eq_zero, ContinuousLinearMap.isBigOTVS_id, MeromorphicOn.divisor_mul, LinearMap.isAdjointPair_inner, MeasureTheory.condExpIndL1Fin_smul', Circle.coe_div, ContinuousLinearMap.norm_holder_apply_apply_le, HasDerivWithinAt.log, DifferentiableOn.csin, upperHemicontinuous_spectrum, Complex.isUniformEmbedding_equivRealProd, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, WithLp.unitization_norm_inr, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, WithLp.unitization_nnnorm_def, RKHS.posSemidef_kernel, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, absorbent_ball_zero, Asymptotics.IsBigOTVS.fst, tendsto_nhds_of_meromorphicOrderAt_nonneg, Submodule.norm_subtypeL_le, range_cfc, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, 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, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, RCLike.wInner_add_right, hasFDerivAt_inv, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, HasStrictFDerivAt.clm_comp, 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, TemperedDistribution.lineDeriv_eq_fourierMultiplierCLM, HurwitzZeta.differentiable_completedHurwitzZetaOdd, MeasureTheory.ProbabilityMeasure.tendsto_iff_tendsto_charFun, MeromorphicAt.meromorphicTrailingCoeffAt_zpow, 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, MDifferentiableWithinAt.clm_prodMap, Seminorm.continuous_iff_continuous_comp, ContMDiffAt.clm_comp, BoundedContinuousFunction.char_add_eq_mul, HasDerivAtFilter.isTheta_sub, constFormalMultilinearSeries_zero, Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, HasStrictFDerivAt.continuousMultilinearMap_apply, ValueDistribution.logCounting_inv, ContinuousMultilinearMap.instIsTopologicalAddGroup, Complex.isOpenMap_re, Asymptotics.IsBigO.isBigOTVS, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, LinearPMap.adjointAux_inner, HilbertBasis.hasSum_inner_mul_inner, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, Complex.approx_Gamma_integral_tendsto_Gamma_integral, LinearIsometryEquiv.toContinuousLinearEquiv_smul, Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzSet, ContinuousLinearMap.opNNNorm_mul_apply, fderivInnerCLM_apply, AffineIsometry.image_intrinsicFrontier, AbsoluteValue.isEquiv_iff_isHomeomorph, ContinuousMultilinearMap.curryFinFinset_apply, EuclideanGeometry.orthogonalProjection_eq_iff_mem, ContDiffAt.smulRight, 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, FormalMultilinearSeries.changeOriginSeriesTerm_bound, HasDerivWithinAt.sum, 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, Asymptotics.IsLittleOTVS.of_tendsto_div, LinearIsometry.re_apply_eq_re, 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, mdifferentiableWithinAt_hom_bundle, 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, HasDerivAtFilter.neg, Asymptotics.isEquivalent_of_tendsto_one', 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, HasGradientAtFilter.hasDerivAtFilter, instSMulCommClass_sphere_sphere_ball, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, fderivWithin_restrictScalars_comp, Convex.instPathConnectedSpace, hasFPowerSeriesAt_iff', RCLike.geometric_hahn_banach_closed_compact, ContDiff.continuous_iteratedDeriv', MeasureTheory.eLpNorm_conj, UpperHalfPlane.hasStrictFDerivAt_smul, ContinuousLinearMapWOT.tendsto_iff_forall_dual_apply_tendsto, inner_gradient_right, 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, UpperHalfPlane.det_smulFDeriv, Submodule.orthogonalProjection_norm_le, DoubleCentralizer.intCast_toProd, ContinuousAffineMap.differentiableAt, Matrix.PosDef.posDef_sqrt, WeakFEPair.Λ_residue_k, integrable_cexp_neg_mul_sq, WithSeminorms.hasBasis_ball, norm_cfcₙ_le_iff, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, derivWithin_clm_apply, smooth_functions_tower, RCLike.intCast_im, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, SchwartzMap.fourierMultiplierCLM_smul, finrank_euclideanSpace_fin, UpperHalfPlane.isOpen_upperHalfPlaneSet, Set.Finite.isVonNBounded, Real.hasStrictDerivAt_exp, UpperHalfPlane.isEmbedding_coe, fourierCoeffOn_of_hasDeriv_right, HurwitzZeta.differentiable_completedSinZeta, WithLp.unitization_isometry_inr, HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEven, HasStrictDerivAt.congr_of_eventuallyEq, le_egauge_closedBall_one, Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, Complex.conjLIE_toCLE, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, MeasureTheory.norm_condExpL2_le_one, HasCompactSupport.convolution_integrand_bound_right, MeromorphicAt.meromorphicTrailingCoeffAt_pow, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, Padic.isDenseInducing_cast_withVal, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_nhds_right, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, Complex.hasStrictDerivAt_sqrt, logDeriv_zpow, exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, OrthonormalBasis.repr_reindex, NumberField.mixedEmbedding.measurable_polarSpaceCoord_symm, HasDerivAt.comp_semilinear, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, HasDerivAt.comp_sub_const, QuotientGroup.integral_mul_eq_integral_automorphize_mul, PeriodPair.derivWeierstrassPExcept_def, AffineIsometry.id_toAffineMap, Complex.continuousAt_ofReal_cpow_const, ContMDiffAt.cle_arrowCongr, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, circleMap_mem_sphere', HasDerivWithinAt.comp_hasFDerivAt_of_eq, Circle.argEquiv_apply_coe, MeasureTheory.memLp_re_im_iff, HasFDerivAt.clm_comp, ContinuousLinearMap.adjoint_innerSL_apply, HasDerivAt.of_local_left_inverse, EuclideanGeometry.reflection_mem_of_le_of_mem, LSeries.hasDerivAt_term, gaugeSeminorm_toFun, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, continuous_circleMap_inv, UpperHalfPlane.mdifferentiableAt_ofComplex, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_right, Asymptotics.isLittleOTVS_pi, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, LSeries_eq_mul_integral', ContDiffMapSupportedIn.structureMapLM_apply, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, DifferentiableOn.of_dslope, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, HasDerivWithinAt.iterate, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, RCLike.normSq_sub, isBoundedLinearMap_prod_multilinear, nndist_homothety_self, Differentiable.div, 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, LinearPMap.adjoint_apply_of_dense, tsupport_deriv_subset, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, HasStrictDerivAt_ofNat, Filter.IsBoundedUnder.isLittleO_sub_self_inv, Real.fourier_smul_convolution_eq, UpperHalfPlane.σ_denom, RCLike.re_tsum, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, MeromorphicAt.finprod, HasFiniteFPowerSeriesAt.comp, ContinuousMap.idealOfSet_isMaximal_iff, LeftInvariantDerivation.coeFnAddMonoidHom_apply, Complex.deriv_log_comp_eq_logDeriv, MeromorphicOn.finprod, Complex.det_conjLIE, RCLike.sqrt_neg_of_nonneg, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, ContDiffWithinAt.div_const, balancedHull_convexHull_subseteq_absConvexHull, ContDiffAt.hasStrictDerivAt', WeakFEPair.differentiable_Λ₀, RCLike.realLinearIsometryEquiv_apply, TemperedDistribution.laplacianCLM_apply, InnerProductSpace.Core.inner_zero_left, DifferentiableWithinAt.ccos, Unitary.spectrum_subset_circle, spectralNorm_unique_of_finiteDimensional_normal, contMDiffWithinAt_hom_bundle, HasDerivAt.star_conj, continuousAt_gaussian_integral, Bornology.IsVonNBounded.insert, Orientation.rightAngleRotation_map_complex, mem_contMDiffFiberwiseLinear_iff, Matrix.tracePositiveLinearMap_apply, Submodule.coe_prodEquivOfClosedCompl, Seminorm.continuousAt_zero, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, Complex.im_tsum, hasDerivAt_finCons, Asymptotics.IsThetaTVS.rfl, inner_eq_ofReal_norm_sq_right_iff, Differentiable.ccosh, coeFn_fourierLp, Complex.taylorSeries_eq_on_emetric_ball', isOpen_setOf_nat_le_rank, RCLike.tendsto_ofReal_atTop_cobounded, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, EuclideanGeometry.dist_set_eq_iff_dist_orthogonalProjection_eq, ContinuousLinearMap.opNorm_le_bound₂, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NumberField.mixedEmbedding.disjoint_negAt_plusPart, DifferentiableWithinAt.of_dslope, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.integral_convolution, Complex.UnitDisc.coe_circle_smul, Filter.EventuallyEq.nhdsNE_deriv, contDiff_euclidean, fderiv_norm_sq_apply, IsSelfAdjoint.commute_cfc, RCLike.imCLM_apply, ZMod.stdAddChar_apply, HasFPowerSeriesOnBall.exchange_radius, DirichletCharacter.continuousOn_neg_logDeriv_LFunctionTrivChar₁, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, HasStrictDerivAt.eventually_left_inverse, 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, AnalyticOnNhd.eqOn_zero_or_eventually_ne_zero_of_preconnected, cfc_setIntegral, PadicComplexInt.integers, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, HurwitzZeta.differentiableAt_expZeta, RCLike.inv_I, ContinuousMultilinearMap.isUniformEmbedding_restrictScalars, hasDerivAt_of_tendstoUniformlyOnFilter, Submodule.starProjection_tendsto_closure_iSup, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, LinearMap.exists_map_addHaar_eq_smul_addHaar', norm_iteratedFDeriv_fderiv, MeasureTheory.Lp.toTemperedDistribution_smul_eq, Complex.differentiableOn_tsum_of_summable_norm, MeasureTheory.MemLp.ofReal, StrongDual.polar_nonempty, NormedSpace.dual_def, SchwartzMap.laplacian_eq_fourierMultiplierCLM, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, Asymptotics.IsBigOTVS.pi, HasFDerivAt.isLittleOTVS, HasDerivAt.inv, NumberField.house_eq_sup', AffineMap.isOpenMap, RCLike.geometric_hahn_banach_open_open, LSeries_tendsto_sub_mul_nhds_one_of_tendsto_sum_div, MeasureTheory.integral_mul_const, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, ContinuousMap.idealOpensGI_choice, HasMFDerivAt.const_smul, Complex.continuous_im, HasDerivAtFilter.fun_sum, IsCovariantDerivativeOn.finite_affine_combination, Submodule.ClosedComplemented.of_isCompl_isClosed, TensorProduct.toLinearMap_mapInclIsometry, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, Circle.argPartialEquiv_apply, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, MeasureTheory.charFun_eq_integral_probChar, HasStrictDerivAt.ccos, LinearPMap.adjoint_graph_eq_graph_adjoint, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', MDifferentiableOn.clm_bundle_apply₂, EulerProduct.exp_tsum_primes_log_eq_tsum, Seminorm.sSup_apply, Unitization.norm_inr, orthonormal_span, norm_cfc_lt, ContinuousMultilinearMap.continuous_restrictScalars, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, ApproximatesLinearOn.to_inv, TensorProduct.lidIsometry_symm_apply, inner_vsub_left_eq_zero_symm, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendsto, Complex.tendsto_tsum_powerSeries_nhdsWithin_lt, 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, ContMDiff.cle_arrowCongr, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, ContMDiffOn.clm_bundle_apply₂, 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, integral_im, fun_meromorphicOrderAt_pow, cfc_integral', DifferentiableAt.csin, MeromorphicAt.meromorphicOrderAt_comp, MeasureTheory.condExpL2_indicator_nonneg, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, NumberField.mixedEmbedding.convexBodyLT'_convex, PadicSeq.eq_zero_iff_equiv_zero, differentiableOn_zpow, Submodule.coe_prodEquivOfClosedCompl_symm, HasDerivWithinAt.fun_inv, HasDerivWithinAt.finCons, HasStrictDerivAt.clm_apply, TemperedDistribution.smulLeftCLM_apply_apply, HasDerivAt.congr_deriv, summable_jacobiTheta₂_term_iff, HasDerivAt.tendsto_slope_zero_right, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, nndist_lineMap_left, hasSum_mellin_pi_mul_sq, Complex.continuousOn_one_add_mul_inv, WithSeminorms.hasBasis_zero_ball, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, contDiff_one_iff_deriv, ContinuousLinearMap.hasDerivAt_of_bilinear, inner_matrix_col_col, PadicComplex.isAlgClosed, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, HasFDerivAt.comp_hasDerivAt_of_eq, ContMDiff.coordChangeL, Real.hasStrictDerivAt_log_of_pos, derivWithin_comp_neg, ValueDistribution.logCounting_mul_zero_le, RCLike.div_I, OrthonormalBasis.inner_eq_ite, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, HasDerivAtFilter.const_sub, differentiableAt_jacobiTheta, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, ContinuousLinearMap.orthogonal_ker, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, ContDiffWithinAt.fderivWithin_right, Complex.rotation, ContDiff.div, AnalyticAt.hasStrictDerivAt, 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, Filter.EventuallyEq.hasDerivWithinAt_iff, BoundedContinuousFunction.probCharDual_apply, PeriodPair.weierstrassPExcept_add, Complex.multipliable_one_add_of_summable, SeminormFamily.basisSets_smul_left, InnerProductSpace.norm_rankOne, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, ProbabilityTheory.IndepFun.integral_mul_eq_mul_integral, cfc_mem, Asymptotics.IsTheta.const_mul_right, HasFDerivAt.fun_sub, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, hasFDerivAt_integral_of_dominated_loc_of_lip, Submodule.isHilbertSumOrthogonal, IsClosed.reProdIm, DoubleCentralizer.neg_fst, PiTensorProduct.mapLMultilinear_toFun_apply, VectorField.mlieBracket_smul_right, norm_jacobiTheta₂_term_fderiv_le, HasStrictDerivAt.clog, MeasureTheory.taylorWithinEval_charFun_zero, HasDerivAtFilter.fun_const_smul, HasFiniteFPowerSeriesOnBall.fderiv, Matrix.PosDef.re_dotProduct_pos, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContinuousOn.cexp, 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, Valued.integer.norm_irreducible_pos, Complex.tendsto_exp_comap_re_atBot_nhdsNE, differentiable_circleMap, UpperHalfPlane.mdifferentiable_smul, Matrix.gram_single, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, Complex.conjCAE_toLinearMap, ModularForm.slash_apply, HurwitzZeta.tendsto_hurwitzZetaEven_sub_one_div_nhds_one, InnerProductSpace.Core.inner_sub_right, integrableOn_exp_mul_complex_Ioi, Seminorm.uniformity_eq_of_hasBasis, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, deriv_comp_sub_const, contMDiffOn_iff_localFrame_coeff, 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, HasDerivAt.cpow_const, HurwitzZeta.differentiable_completedCosZeta₀, ContinuousWithinAt.const_cpow, Complex.restrictScalars_toSpanSingleton', HasFDerivAt.continuousMultilinearMap_apply, 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, cfcₙ_integral', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, 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, HasStrictDerivAt.star, tendsto_zero_geometric_tsum_pnat, RCLike.geometric_hahn_banach_open_point, AffineIsometryEquiv.coe_toAffineEquiv, FormalMultilinearSeries.comp_assoc, Affine.Triangle.dist_orthogonalProjectionSpan_faceOpposite_eq_iff_two_zsmul_oangle_eq, 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, UpperHalfPlane.petersson_slash, deriv_id', hasStrictFDerivAt_euclidean, fourierCoeff_fourier, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, HilbertBasis.finite_spans_dense, nnnorm_cfcₙ_lt, toMeromorphicNFOn_eqOn_codiscrete, RCLike.ofReal_lt_zero, HasStrictDerivAt.fun_pow, norm_iteratedFDeriv_clm_apply_const, LinearIsometry.adjoint_comp_self
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toNormedDivisionRing 📖 | CompOp | 938 mathmath: cfc_realPart, Polynomial.fderiv, Pi.comul_eq_adjoint, NumberField.basisMatrix_eq_embeddingsMatrixReindex, DifferentiableOn.zpow, integrableOn_cfcₙ', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, ContinuousMultilinearMap.norm_mkPiRing, NumberField.InfinitePlace.isNontrivial, NumberField.InfinitePlace.eq_iff_isEquiv, topDualPairing_isContPerfPair, continuous_cfcₙHomSuperset_left, cfcₙL_integral, HasDerivAt.ccos, HasFDerivWithinAt.ccosh, continuousOn_stereoToFun, Submodule.coe_continuous_linearProjOfClosedCompl', norm_cfcₙHom, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, LinearMap.IsSymmetric.inner_map_polarization, fun_meromorphicOrderAt_div, HasFDerivWithinAt.ccos, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, 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, cfc_im_id, Real.fourierCoeff_tsum_comp_add, CFC.monotoneOn_one_sub_one_add_inv, Differentiable.fun_div, Filter.Tendsto.cfc, InnerProductSpace.rankOne_one_left_eq_innerSL, Function.FactorizedRational.divisor, cfc_mem_elemental, Polynomial.Gal.galActionHom_bijective_of_prime_degree', HasStrictFDerivAt.csin, Polynomial.isEquivalent_atBot_div, NumberField.prod_nonarchAbsVal_eq, ContDiff.div_const, WeakDual.isCompact_polar, nnnorm_cfc_lt, differentiableAt_zpow, Padic.eq_padicNorm, CFC.monotone_nnrpow, CFC.tendsto_cfc_rpow_sub_one_log, 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, HasDerivAtFilter.comp_hasFDerivAtFilter, HasDerivWithinAt.fun_div, integrableOn_cfc', NumberField.isInfinitePlace_iff, OpenPartialHomeomorph.hasDerivAt_symm, WeakDual.isClosed_image_polar_of_mem_nhds, ZLattice.covolume_eq_det_inv, PadicComplex.valuation_extends, one_add_cpow_hasFPowerSeriesAt_zero, PadicComplex.charZero, NumberField.InfinitePlace.isometry_embedding, Unitization.real_cfcₙ_eq_cfc_inr, 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, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, 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, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, Submodule.starProjection_singleton, HasStrictDerivAt.of_local_left_inverse, IsGreatest.nnnorm_cfcₙ, ContinuousAt.cfc, Complex.hasStrictDerivAt_tan, hasDerivAt_exp_zero_of_radius_pos, MeasureTheory.charFun_toDual_symm_eq_charFunDual, Differentiable.fderiv_norm_rpow, NumberField.InfiniteAdeleRing.algebraMap_apply, UnitAddTorus.mFourierSubalgebra_coe, Complex.exp_eq_exp_ℂ, HasStrictDerivAt.cpow, 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', cfcHom_mem_elemental, cfcₙHom_mem_elemental, 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, LinearMap.IsSymmetric.splits_charpoly, Continuous.cfc', gelfandStarTransform_naturality, gelfandStarTransform_apply_apply, Submodule.reflection_singleton_apply, RCLike.nonUnitalContinuousFunctionalCalculus, intervalIntegral.integral_div, NormedSpace.Dual.toWeakDual_continuous, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, ContinuousMultilinearMap.norm_smulRightL_le, cfcₙ_integral, cfcₙ_setIntegral, InnerProductSpace.gramSchmidt_def, HasDerivAt.cpow, Polynomial.toAddCircle_X_pow_eq_fourier, Unitization.sqrt_inr, Polynomial.abs_div_tendsto_atTop_of_degree_gt, ContinuousLinearMap.toSesqForm_apply_coe, gelfandTransform_bijective, fderivWithin_ccosh, VectorFourier.fourierPowSMulRight_eq_comp, NumberField.InfinitePlace.coe_apply, VectorBundle.finiteDimensional, 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, HasDerivAt.comp_hasFDerivWithinAt, 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, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, HasStrictDerivAt.csin, Complex.hasStrictFDerivAt_cpow', Real.fourier_iteratedFDeriv, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, InnerProductSpace.toDualMap_apply_apply, HasStrictDerivAt.div, PadicInt.exists_mem_range_of_norm_rat_le_one, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, derivWithin_zpow, Polynomial.div_tendsto_atTop_of_degree_gt', Meromorphic.div, WeakDual.toStrongDual_inj, hasDerivAt_id', rescale_to_shell_semi_normed_zpow, LinearMap.dualEmbedding_surjective, FiniteDimensional.of_exists_totallyBounded_nhds, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, coe_innerSL_apply, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, range_cfcₙHom, fun_meromorphicOrderAt_zpow, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, HasDerivWithinAt.csinh, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, norm_cfcₙ_lt, WeakDual.coe_toStrongDual, FiniteDimensional.of_totallyBounded_nhds_zero, range_cfc_subset, 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_re_id, cfcₙ_comp_norm, NormedSpace.smul_mem_polar, WeakDual.CharacterSpace.continuousMapEval_bijective, Continuous.cfcₙ_of_mem_nhdsSet, NormedSpace.inclusionInDoubleDual_norm_eq, cfcₙHom_integral, Rat.HeightOneSpectrum.adicCompletion.padicEquiv_bijOn, Continuous.cfcₙ, continuousOn_cfc_setProd, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, HasDerivWithinAt.const_cpow, IsGreatest.norm_cfc, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, FiniteDimensional.of_locallyCompact_manifold, Asymptotics.IsTheta.div, NormedSpace.inclusionInDoubleDualWeak_apply_apply, Submodule.reflection_orthogonalComplement_singleton_eq_neg, deriv_fun_div, Function.FactorizedRational.mulSupport, Polynomial.toAddCircle.integrable, HasDerivAtFilter.iterate, Meromorphic.zpow, continuousOn_cfcₙ, RCLike.div_im, hasFDerivAt_norm_rpow, Function.FactorizedRational.meromorphicOrderAt_eq, summable_jacobiTheta₂_term_fderiv_iff, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, Polynomial.div_tendsto_atBot_zero_of_degree_lt, isCoveringMap_zpow, RCLike.instContinuousMapUniqueHom, Seminorm.rescale_to_shell_zpow, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, 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, HasDerivAt.csinh, 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, InnerProductSpace.toDual_apply, HasStrictDerivAt.to_local_left_inverse, NormedSpace.exp_continuousMap_eq, FormalMultilinearSeries.coeff_ofScalars, cfcₙ_mem_elemental, FormalMultilinearSeries.mkPiRing_coeff_eq, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, RCLike.nnnorm_nnratCast, PadicInt.coe_adicCompletionIntegersEquiv_symm_apply, InnerProductSpace.toDualMap_apply, gelfandTransform_map_star, UpperHalfPlane.hasStrictDerivAt_smul, logDeriv_div, cfcHom_integral, HasDerivAt.ccosh, 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, HasDerivWithinAt.complexToReal_fderiv, WeakDual.isBounded_closure, ContinuousMap.ideal_isMaximal_iff, HasStrictDerivAt.csinh, hasDerivAt_jacobiTheta₂_fst, IsometricContinuousFunctionalCalculus.toNonUnital, InnerProductSpace.toDual_apply_apply, ContinuousLinearMap.adjointAux_apply, cfcₙ_comp_re, FiniteDimensional.of_isCompact_closedBall₀, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, HasDerivAt.csin, cfc_comp_im, 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, HasStrictFDerivAt.ccos, Complex.hasDerivAt_Gammaℂ_one, integrable_cfcₙ, Complex.hasStrictDerivAt_const_cpow, ClosedSubmodule.orthogonal_eq_inter, HasFDerivWithinAt.cexp, IsSelfAdjoint.cfc_arg, HasDerivWithinAt.cpow, RCLike.conj_div, Submodule.coe_continuous_linearProjOfClosedCompl, RCLike.ofReal_zpow, HasDerivAt.complexToReal_fderiv, HurwitzZeta.hurwitzZetaOdd_neg_two_mul_nat, StrongDual.polarSubmodule_eq_polar, norm_cfcₙ_lt_iff, fourierSubalgebra_separatesPoints, cfcₙ_comp_im, MeasureTheory.SignedMeasure.re_toComplexMeasure, Complex.one_add_cpow_hasFPowerSeriesAt_zero, Commute.cfcₙHom, NumberField.InfinitePlace.coe_mk_comp, 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, NormedSpace.ofReal_exp_ℝ_ℝ, WeakDual.isSeqCompact_closedBall, HasFDerivAt.cexp, WeakDual.isBounded_iff_isVonNBounded, HasFDerivAt.ccos, hasStrictDerivAt_zpow, HasDerivWithinAt.ccosh, 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, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LipschitzOnWith.extend_lp_infty, NormedSpace.inclusionInDoubleDualWeak_apply, Complex.hasStrictDerivAt_log, CFC.log_monotoneOn, summable_pow_div_add, PadicInt.coe_adicCompletionIntegersEquiv_apply, HasFDerivAt.ccosh, Filter.Tendsto.cfcₙ, NormedSpace.algebraMap_exp_comm, HasDerivAt.clog, ProbabilityTheory.hasDerivAt_complexMGF, MeromorphicOn.divisor_fun_zpow, CFC.monotone_rpow, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, iteratedDerivWithin_one_div, norm_inner_eq_norm_tfae, DifferentiableWithinAt.fun_div, Polynomial.isEquivalent_atTop_div, NumberField.isFinitePlace_iff, NumberField.sum_nonarchAbsVal_eq, inr_comp_cfcₙHom_eq_cfcₙAux, CFC.monotoneOn_one_sub_one_add_inv_real, extDerivFun_add, FiniteDimensional.of_isCompact_closedBall, nnnorm_cfc_le_iff, Submodule.starProjection_bot, RCLike.re_eq_add_conj, Function.FactorizedRational.analyticAt, HasDerivAt.comp_hasFDerivWithinAt_of_eq, GromovHausdorff.ghDist_eq_hausdorffDist, WeakDual.polar_def, hasStrictFDerivAt_norm_sq, Submodule.starProjection_unit_singleton, Polynomial.div_tendsto_atBot_of_degree_gt, HasCompactMulSupport.eq_one_or_finiteDimensional, LinearMap.adjoint_toSpanSingleton, WeakDual.withSeminorms, 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, meromorphicOrderAt_div, 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, HasDerivWithinAt.clog, InnerProductSpace.gramSchmidt_def', GromovHausdorff.eq_toGHSpace, fderiv_inv, HurwitzZeta.sinZeta_two_mul_nat_add_one', instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, cfcₙ_imaginaryPart, Complex.UnitDisc.instSMulCommClass_closedBall_right, HasCompactSupport.eq_zero_or_finiteDimensional, CFC.rpow_le_rpow, HasStrictDerivAt.cpow_const, ContDiffOn.div, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Complex.hasDerivAt_sqrt, ContDiffOn.fun_div, WeakDual.isClosed_closedBall, Meromorphic.fun_zpow, cfc_comp_re, Complex.UnitDisc.instIsScalarTower_closedBall, fderiv_ccos, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, NumberField.InfinitePlace.Completion.instIsTopologicalRing, InnerProductSpace.rankOne_def', ContinuousOn.cfc_of_mem_nhdsSet, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, deriv_inv'', cfcₙAux_injective, MeromorphicNFAt.zpow, logDeriv_id', Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, StrongDual.extendRCLikeₗ_symm_apply, LinearMap.opNorm_extendOfNorm_le, HasDerivWithinAt.csin, InnerProductSpace.innerSL_norm, toWeakSpace_closedConvexHull_eq, cfcₙ_mem, selfAdjoint.star_coe_unitarySelfAddISMul, MeromorphicOn.fun_zpow, Polynomial.hasDerivWithinAt_aeval, CStarAlgebra.rpow_neg_one_le_rpow_neg_one, Polynomial.hasStrictDerivAt_aeval, Asymptotics.superpolynomialDecay_iff_isBigO, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, NumberField.count_multisetInfinitePlace_eq_mult, FiniteDimensional.of_totallyBounded_nhds, cfcₙ_im_id, 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, meromorphicOrderAt_zpow_id_sub_const, Polynomial.div_tendsto_atTop_of_degree_gt, coord_norm', WeakDual.isClosed_polar, spec_cfcₙAux, Asymptotics.IsEquivalent.div, HasDerivAt.hasFDerivAt_equiv, integrable_cfcₙ', StrongDual.norm_toLpₗ_le, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, nnnorm_cfc_le, NumberField.InfinitePlace.isometry_embedding_of_isReal, ContinuousMap.setOfIdeal_eq_compl_singleton, Complex.hasDerivAt_cosh, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, Unitization.nnreal_cfcₙ_eq_cfc_inr, NumberField.ComplexEmbedding.place_conjugate, Complex.UnitDisc.coe_smul_closedBall, integrable_cfc', Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, 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, HasDerivWithinAt.comp_hasFDerivAt, StrongDual.mem_polarSubmodule, derivWithin_inv', AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, MeromorphicNFOn.fun_zpow, 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, range_cfcₙ_subset, InnerProductSpace.gramSchmidt_def'', WStarAlgebra.exists_predual, HasDerivWithinAt.inv, nnnorm_cfcₙHom, ContinuousOn.cfcₙ, CFC.nnrpow_le_nnrpow, Complex.hasStrictDerivAt_exp, logDeriv_inv, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Padic.denseRange_ratCast, HasStrictDerivAt.const_cpow, ContinuousLinearMap.adjoint_toSpanSingleton, IsStarNormal.instContinuousFunctionalCalculus, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, WeakDual.metrizable_of_isCompact, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, RCLike.ratCast_re, cfc_comp_norm, FiniteDimensional.of_isCompactOperator_id, Asymptotics.IsTheta.zpow, RCLike.ofReal_div, NormedSpace.isCompact_closure_of_isBounded, 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, HasDerivWithinAt.ccos, 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, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, NumberField.InfinitePlace.Completion.algebraMap_coe, hasDerivWithinAt_zpow, hasFPowerSeriesOnBall_cuspFunction, fderivWithin_inv, Complex.uniformContinuous_ringHom_eq_id_or_conj, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, WeakDual.isBounded_polar, 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, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, CStarAlgebra.rpow_neg_one_le_one, RCLike.ofReal_nnratCast, Polynomial.hasDerivAt_aeval, Padic.valuation_ratCast, deriv_div, range_cfcHom_le, Continuous.cfcₙ', PadicInt.norm_sub_modPart, Padic.withValUniformEquiv_cast_apply, spectrum.exp_mem_exp, BoundedContinuousFunction.star_mem_range_charAlgHom, MeromorphicOn.extract_zeros_poles, ContinuousOn.cfc', cfcₙAux_mem_range_inr, ContinuousMap.adjoin_id_eq_span_one_add, Polynomial.Gal.galActionHom_bijective_of_prime_degree, cfcₙ_norm_sq_nonneg, Padic.coe_withValRingEquiv, one_add_cpow_hasFPowerSeriesOnBall_zero, Matrix.toLin_finTwoProd_toContinuousLinearMap, PadicComplex.RankOne.hom_eq_embedding, hasSum_fourier_series_of_summable, RCLike.ratCast_im, fun_meromorphicOrderAt_zpow_id_sub_const, 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, CFC.monotone_sqrt, Commute.cfcₙ, NormedSpace.of_real_exp_ℝ_ℝ, ContinuousAt.cfcₙ, WeakDual.isCompact_of_bounded_of_closed, isCompactOperator_id_iff_finiteDimensional, Padic.norm_rat_le_one, nnnorm_cfcₙ_le_iff, fderiv_ccosh, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.cpow, Padic.rat_dense, norm_cfcₙ_one_sub_one_add_inv_lt_one, hasFDerivWithinAt_iff_hasGradientWithinAt, MeromorphicOn.fun_div, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, NumberField.AdeleRing.algebraMap_fst_apply, nnnorm_cfc_lt_iff, hasDerivAt_pow, RCLike.normSq_div, MeromorphicNFOn.zpow, Function.FactorizedRational.extractFactor, Polynomial.div_tendsto_atTop_zero_of_degree_lt, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, hasStrictDerivAt_exp, HasDerivAt.div, HasDerivAt.continuousAt_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, HasStrictDerivAt.ccosh, Unitization.complex_cfcₙ_eq_cfc_inr, HasDerivAt.iterate, Padic.coe_withValRingEquiv_symm, ContDiffOn.div_const, MeromorphicAt.zpow, innerSL_apply, riesz_lemma_of_lt_one, CFC.log_le_log, StrongDual.toLp_apply, Complex.UnitDisc.instSMulCommClass_circle_closedBall, iter_deriv_inv_linear_sub, LinearMap.IsSymmetric.roots_charpoly_eq_eigenvalues, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, DifferentiableWithinAt.zpow, Complex.hasDerivAt_Gamma_one_half, CFC.sqrt_le_sqrt, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, norm_apply_le_norm_cfc, meromorphicOrderAt_zpow, cfc_re_id, exists_extension_norm_eq, AnalyticOn.hasFPowerSeriesOnBall, Complex.subfield_eq_of_closed, hasStrictDerivAt_exp_zero_of_radius_pos, integrable_cfc, UnitAddTorus.span_mFourier_closure_eq_top, ContinuousLinearMap.norm_smulRightL_le, MeromorphicAt.div, hasDerivAt_single, hasStrictDerivAt_exp_of_mem_ball, NormedSpace.algebraMap_exp_comm_of_mem_ball, continuous_cfcₙAux, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_div, norm_cfcHom, KuratowskiEmbedding.embeddingOfSubset_dist_le, Complex.isOpenQuotientMap_pow_compl_zero, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, signedDist_apply, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, WeakDual.CharacterSpace.equivAlgHom_coe, LinearMap.IsSymmetric.charpoly_eq, cfcₙ_realPart, cfc_real_eq_complex, HasFDerivAt.hasGradientAt, Complex.hasDerivAt_tan, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, riesz_lemma, Real.hasFDerivAt_fourierChar_neg_bilinear_right, NumberField.InfiniteAdeleRing.norm_def, Padic.norm_rat_le_one_iff_padicValuation_le_one, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContinuousLinearEquiv.coord_norm', HasDerivAt.fun_inv, cfc_setIntegral', HasFPowerSeriesAt.eq_zero_of_eventually, cfcₙ_setIntegral', hasDerivAt_mul_const, NumberField.FinitePlace.isFinitePlace, cfcₙ_apply_mem_elemental, LinearMap.dualEmbedding_injective_of_separatingRight, Complex.hasStrictFDerivAt_log_real, WeakDual.isSeqCompact_of_isBounded_of_isClosed, NumberField.InfinitePlace.Completion.WithAbs.ratCast_equiv, iter_deriv_inv_linear, MeromorphicAt.fun_zpow, WeakDual.toStrongDual_apply, HasDerivWithinAt.cpow_const, ContinuousMap.elemental_id_eq_top, DifferentiableOn.fun_div, IsSelfAdjoint.commute_cfcₙ, gelfandTransform_isometry, NumberField.InfinitePlace.LiesOver.instLiesOverRealValAbsoluteValueExistsRingHomComplexEqPlaceMkOfLiesOver, WeakDual.CharacterSpace.compContinuousMap_comp, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, norm_apply_le_norm_cfcₙ, HasDerivAt.comp_hasFDerivAt, 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, spectrum.hasDerivAt_resolvent_const_right, differentiableWithinAt_zpow, KuratowskiEmbedding.exists_isometric_embedding, LSeries_hasDerivAt, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, HasDerivAt.conj_conj, isCoveringMapOn_zpow, HasGradientAt.hasDerivAt, hasDerivAt_exp_zero, InnerProductSpace.continuousLinearMapOfBilin_apply, NormedSpace.double_dual_bound, HasDerivAt.comp_ringHom, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, fderiv_csin, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, ContinuousMap.idealOf_compl_singleton_isMaximal, hasDerivWithinAt_inv, hasStrictDerivAt_id, cfcₙL_integrable, MeromorphicNFAt.fun_zpow, instNonemptySeedRatReal, Complex.hasDerivAt_exp, OpenPartialHomeomorph.hasStrictDerivAt_symm, ContinuousLinearMap.finite_dimensional_eigenspace, HasFDerivAt.cpow, Polynomial.hasFDerivWithinAt, IsStarNormal.instIsometricContinuousFunctionalCalculus, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, Complex.hasDerivAt_log_sub_logTaylor, HasFPowerSeriesAt.locally_zero_iff, HasStrictDerivAt.complexToReal_fderiv, innerSL_apply_coe, hasDerivAt_exp_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, ContinuousWithinAt.cfc, HasStrictDerivAt.hasStrictFDerivAt_equiv, derivWithin_fun_inv', Meromorphic.fun_div, HasDerivAt.const_cpow, WeakDual.CharacterSpace.exists_apply_eq_zero, Complex.hasDerivAt_log, hasDerivAt_zpow, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, WeakDual.CharacterSpace.compContinuousMap_id, NumberField.InfinitePlace.LiesOver.isometry_algebraMap, 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, Subalgebra.SeparatesPoints.rclike_to_real, norm_innerSL_le, BoundedContinuousFunction.separatesPoints_charPoly, Complex.hasDerivWithinAt_sqrt, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.csinh, WeakDual.isClosed_image_coe_of_bounded_of_closed, PadicInt.unitCoeff_coe, ContinuousMap.idealOfSet_ofIdeal_isClosed, Polynomial.Gal.splits_ℚ_ℂ, MontelSpace.finiteDimensional_of_normedSpace, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, cfcHom_eq_of_isStarNormal, HasGradientWithinAt.hasFDerivWithinAt, Polynomial.hasDerivWithinAt, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, NumberField.Units.basisOfIsMaxRank_fundSystem, hasDerivAt_conj_conj_iff, 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, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, norm_cfcₙ_le_iff, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, ContinuousMap.idealOfSet_ofIdeal_eq_closure, continuousFunctionalCalculus_map_id, CFC.conjugate_rpow_neg_one_half, Padic.isDenseInducing_cast_withVal, Complex.hasStrictDerivAt_sqrt, logDeriv_zpow, GromovHausdorff.eq_toGHSpace_iff, isBoundedBilinearMap_smulRight, Submodule.orthogonalProjection_orthogonalComplement_singleton_eq_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, ContinuousLinearMap.adjoint_innerSL_apply, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, NumberField.sum_archAbsVal_eq, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, HasDerivWithinAt.iterate, Differentiable.div, CFC.complex_exp_eq_normedSpace_exp, le_iff_norm_sqrt_mul_rpow, ContinuousMap.idealOfSet_isMaximal_iff, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, ContDiffWithinAt.div_const, Submodule.coe_prodEquivOfClosedCompl, ContinuousLinearMap.norm_smulRightL_apply, IsCompactOperator.finiteDimensional, cfcₙ_complex_eq_real, fderiv_norm_sq_apply, IsSelfAdjoint.commute_cfc, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, LinearMap.IsSymmetric.sort_roots_charpoly_eq_eigenvalues, cfc_setIntegral, PadicComplexInt.integers, NormedSpace.dual_def, HasDerivAt.inv, fderiv_norm_sq, ContinuousMap.idealOpensGI_choice, WeakDual.CharacterSpace.instStarHomClass, HasStrictDerivAt.ccos, NumberField.mixedEmbedding.convexBodySum_mem, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, norm_cfc_lt, ContinuousLinearMap.innerSL_apply_comp, ContinuousLinearMap.toSesqForm_apply_norm_le, Polynomial.div_tendsto_atBot_of_degree_gt', InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, cfc_integral', differentiableOn_zpow, Submodule.coe_prodEquivOfClosedCompl_symm, HasDerivWithinAt.fun_inv, 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, cfc_mem, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, RCLike.ofReal_ratCast, HasStrictDerivAt.clog, kuratowskiEmbedding.isometry, LinearMap.IsSymmetric.eigenvalues_eq_eigenvalues_iff, le_iff_norm_sqrt_mul_sqrt_inv, HasDerivAt.cpow_const, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, cfcₙ_integral', norm_inner_div_norm_mul_norm_eq_one_iff, cfc_imaginaryPart, hasStrictDerivAt_neg, nnnorm_cfcₙ_lt
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| Name | Category | Theorems |
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denselyNormedField 📖 | CompOp | 1468 mathmath: ContinuousMap.dense_setOf_contDiff, IsLocalMaxOn.fderivWithin_nonpos, TestFunction.lineDerivCLM_apply_of_le, differentiableOn_arcosh, hasDerivAt_arccos, hasDerivAt_fourier, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, HasStrictFDerivAt.log, MeasureTheory.setToFun_add_left, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, HasDerivWithinAt.clog_real, taylor_integral_remainder, SchwartzMap.lineDerivOpCLM_eq, ConformalAt.differentiableAt, iteratedDerivWithin_cos_Ioo, deriv_exp, Bundle.ContMDiffRiemannianMetric.contMDiff, SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, HasDerivAt.const_rpow, differentiable_arctan, exists_contMDiffMap_zero_one_of_isClosed, differentiableAt_mulExpNegMulSq, HasStrictFDerivAt.abs_of_pos, ContDiffOn.cos, deriv_arctan, iteratedDeriv_odd_cos, hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, differentiableAt_arcsin, DifferentiableWithinAt.log, HasStrictDerivAt.rpow, StrictConvexOn.slope_lt_leftDeriv, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, ContDiffOn.rpow_const_of_le, contDiffOn_log, fderiv_fourierIntegral, MeasureTheory.contDiff_charFun', ConvexOn.rightDeriv_le_slope_of_mem_interior, hasDerivAt_sqrt_mul_log, Manifold.pathELength_eq_lintegral_mfderiv_Ioo, StrongDual.norm_extendRCLike, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, SmoothBumpFunction.support_eq_symm_image, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, RightDerivMeasurableAux.D_subset_differentiable_set, intervalIntegral.derivWithin_integral_of_tendsto_ae_left, deriv_negMulLog, hasDerivAt_sigmoid, ContDiffMapSupportedInClass.map_contDiff, taylorWithinEval_hasDerivAt_Ioo, analyticOn_cos, ProbabilityTheory.analyticOn_mgf, complexOfReal_hasDerivWithinAt, contDiffAt_arcosh, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, HasCompactSupport.integral_Ioi_deriv_eq, OpenPartialHomeomorph.contDiff_unitBallBall_symm, deriv_abs, nnnorm_deriv_mulExpNegMulSq_le_one, deriv_binEntropy, intervalIntegral.integral_derivWithin_uIcc_of_contDiffOn_uIcc, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, DifferentiableOn.sqrt, intervalIntegral.integral_hasDerivWithinAt_right, contDiffAt_norm_smul_iff, AnalyticOn.im_ofReal, ContDiffMapSupportedIn.iteratedFDerivLM_apply, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, ContDiff.sigmoid, SmoothBumpFunction.rOut_pos, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, analyticOnNhd_sin, HasDerivWithinAt.cosh, hasStrictDerivAt_rpow_const_of_ne, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_taylorWithinEval, MeasureTheory.L1.norm_setToL1_le, StrictConvexOn.deriv_lt_slope, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right, RCLike.conjCLE_norm, HasDerivWithinAt.complexToReal_fderiv', circleIntegral_def_Icc, Differentiable.cosh, circleIntegrable_iff, hasFDerivAt_stereoInvFunAux, fderiv_fourierChar_neg_bilinear_right_apply, fourier_continuousLinearMap_apply, MeasureTheory.iteratedDeriv_charFun_zero, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, ContDiffBumpBase.smooth, LipschitzWith.memLp_lineDeriv, AnalyticOnNhd.re_ofReal, analyticOn_cosh, SmoothPartitionOfUnity.contMDiffAt_finsum, differentiableWithinAt_abs_pos, ContDiffMapSupportedIn.structureMapCLM_apply, eventually_enorm_mfderivWithin_symm_extChartAt_lt, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, DifferentiableWithinAt.norm, SmoothPartitionOfUnity.locallyFinite, DifferentiableWithinAt.sqrt, 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, StrictConcaveOn.slope_lt_rightDeriv, hasDerivAt_bernoulliFun, ContDiffOn.cosh, StrongDual.norm_extendRCLike_bound, ContDiffPointwiseHolderAt.isBigO, deriv_log, StrictConvexOn.rightDeriv_lt_slope, SchwartzMap.decay', derivWithin_arctan, Complex.ofRealCLM_norm, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, Continuous.integral_hasStrictDerivAt, Continuous.exists_contDiff_dist_le_of_forall_mem_ball_dist_le, AkraBazziRecurrence.isBigO_apply_r_sub_b, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, DifferentiableAt.sigmoid, IsOpen.exists_msmooth_support_eq, IsOpen.exists_smooth_support_eq, ContDiffMapSupportedIn.seminorm_fderivLM_le, SmoothPartitionOfUnity.locallyFinite', ContDiffMapSupportedIn.seminorm_fderivLM_top, hasDerivAt_sin, intervalIntegral.integral_deriv_eq_sub, differentiableOn_log, Differentiable.fderiv_norm_rpow, lintegral_fderiv_lineMap_eq_edist, Set.OrdConnected.image_deriv, iteratedDeriv_even_cosh, differentiableOn_arcsin, ContDiffOn.inner, Complex.hasStrictFDerivAt_exp_real, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, ContDiffWithinAt.cosh, monomial_has_deriv_aux, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, StrictConvexOn.strictMonoOn_deriv, contDiffAt_tan, hasDerivAt_mul_log, derivWithin_cosh, fderivWithin_sinh, differentiableWithinAt_abs, deriv_arccos, hasDerivAt_of_hasDerivAt_of_ne, hasStrictDerivAt_sinh, LocallyBoundedVariationOn.ae_differentiableWithinAt, hasFPowerSeriesOnBall_ofScalars_mul_add_zero, ContDiffOn.sqrt, analyticWithinAt_sinh, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, 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, StrictConcaveOn.slope_lt_derivWithin, HasFDerivAt.norm_sq, intervalIntegral.deriv_integral_right, analyticOnNhd_circleMap, antideriv_bernoulliFun, hasStrictFDerivAt_rpow_of_pos, exists_partition_approximatesLinearOn_of_hasFDerivWithinAt, differentiableAt_sigmoid, fourier_deriv, analyticAt_cos, Icc_isBoundaryPoint_bot, deriv_abs_neg, differentiableWithinAt_arccos_Ici, Homeomorph.contDiff_unitBall, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt₀, sinc_eq_dslope, MeasureTheory.convolution_tendsto_right, AnalyticOn.rexp, DifferentiableWithinAt.abs_of_pos, deriv.log, HarmonicAt.analyticAt_complex_partial, AnalyticAt.rexp, exists_deriv_eq_zero, LipschitzWith.hasFDerivAt_of_hasLineDerivAt_of_closure, ContDiffMapSupportedIn.contDiff', InformationTheory.leftDeriv_klFun_one, exists_smooth_tsupport_subset, AnalyticOnNhd.rexp, RCLike.reCLM_norm, HasDerivWithinAt.sin, hasDerivAt_arcosh, ContDiffAt.arsinh, AnalyticOn.sigmoid, ConvexOn.monotoneOn_rightDeriv, ContDiffOn.rpow, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_right, SmoothBumpCovering.mem_extChartAt_source_of_eq_one, enorm_fderiv_norm_rpow_le, iteratedDerivWithin_cos_Icc, Continuous.exists_contDiff_approx_and_eqOn, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, MonotoneOn.intervalIntegrable_deriv, HasDerivAt.sqrt, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux, MeasureTheory.MemLp.exist_eLpNorm_sub_le, fourierIntegral_continuousMultilinearMap_apply, IsLocalExtr.lineDeriv_eq_zero, analyticAt_rexp, IsExtrOn.lineDerivWithin_eq_zero, one_add_rpow_hasFPowerSeriesOnBall_zero, VectorFourier.fourierPowSMulRight_eq_comp, AnalyticAt.sigmoid', mfderivWithin_projIcc_one, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, HasFDerivAt.arctan, analyticAt_sinh, ContDiff.arctan, hasStrictDerivAt_arccos, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, HasStrictFDerivAt.abs, TestFunction.fderivCLM_ofSupportedIn, SingularManifold.isManifold, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, ContDiffPointwiseHolderAt.differentiableAt, Complex.deriv_ofReal_cpow_const, fderiv_fourier, ApproximatesLinearOn.norm_fderiv_sub_le, MeasureTheory.L1.setToL1_smul_left, norm_sub_le_mul_volume_of_norm_lineDeriv_le, norm_deriv_mulExpNegMulSq_le_one, StrictConcaveOn.deriv_lt_slope, SmoothBumpFunction.exists_r_pos_lt_subset_ball, Icc_isInteriorPoint_interior, VectorFourier.fourierIntegral_continuousLinearMap_apply, not_continuousAt_deriv_mul_log_zero, HasStrictFDerivAt.arsinh, OpenPartialHomeomorph.contDiff_univUnitBall, HasFDerivWithinAt.exp, SchwartzMap.fourier_lineDerivOp_eq, MeasureTheory.iteratedFDeriv_charFun, fderivWithin_sin, StrictConcaveOn.slope_lt_deriv, Monotone.ae_differentiableAt, ConvexOn.slope_le_deriv, Differentiable.abs, mfderivWithin_comp_projIcc_one, IsMIntegralCurveOn.hasDerivWithinAt, DifferentiableOn.rpow, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_complexPlane, fourier_iteratedFDeriv, SmoothPartitionOfUnity.sum_finsupport', analyticOnNhd_rexp, TestFunction.contDiff, DifferentiableAt.rpow_const, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_neg, differentiableAt_rpow_const_of_ne, Manifold.pathELength_def, ContDiff.cos, IccLeftChart_extend_interior_pos, hasDerivAt_arsinh, taylor_integral_remainder_of_absolutelyContinuous, SchwartzMap.differentiable, HasDerivWithinAt.cos, Differentiable.sinh, hasDerivWithinAt_Iic_of_tendsto_deriv, fderiv.log, HasStrictDerivAt.arctan, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, contDiffAt_sqrt, hasDerivAt_abs_neg, deriv_sqrt_aux, exists_contMDiffSection_forall_mem_convex_of_local, HasStrictDerivAt.real_of_complex, deriv_rpow_const, instIsContinuousRiemannianBundleTrivial, DifferentiableWithinAt.dist, 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, ContDiffAt.sinh, deriv_sinh, exists_ratio_deriv_eq_ratio_slope, ContMDiff.piecewise_Iic, VectorFourier.fourierIntegral_iteratedFDeriv, InformationTheory.hasDerivAt_klFun, contMDiff_coe_sphere, StrictConvexOn.slope_lt_deriv, 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, ContDiff.log, DifferentiableAt.fderiv_norm_self, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, SmoothBumpCovering.toSmoothPartitionOfUnity_apply, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, Function.hasTemperateGrowth_iff_isBigO, AnalyticAt.log, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', IsLocalExtr.fderiv_eq_zero, SmoothPartitionOfUnity.contDiffAt_finsum, intervalIntegral.integral_hasDerivWithinAt_left, differentiableOn_rpow_const, smoothTransition.contDiffAt, taylor_mean_remainder_lagrange_iteratedDeriv, 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, fourierIntegral_continuousLinearMap_apply, HasFDerivWithinAt.abs_of_neg, ProbabilityTheory.differentiableAt_mgf, ContDiffOn.rpow_const_of_ne, analyticOn_log, BumpCovering.contMDiff_toPartitionOfUnity, analyticOnNhd_log, differentiable_cos, IsMIntegralCurveOn.comp_mul, ProbabilityTheory.iteratedDeriv_mgf, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, hasFDerivAt_norm_rpow, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ODE.contDiffOn_nat_picard_Icc, norm_sub_le_mul_volume_of_norm_deriv_le_of_le, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, Metric.exists_smooth_forall_closedBall_subset, SmoothBumpFunction.support_eq_inter_preimage, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, ContDiffBump.convolution_tendsto_right, ContDiffAt.contDiffAt_norm_smul, AnalyticAt.rexp', hasDerivAt_abs_rpow, StrictMonoOn.exists_slope_lt_deriv_aux, ContDiffAt.inversion, contDiffOn_stereoToFun, hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, HasDerivAt.log, analyticAt_sin, analyticOnNhd_sigmoid, Differentiable.sin, deriv_Gamma_nat, LogDeriv_exp, ContDiff.norm_rpow, analyticOnNhd_cosh, HasStrictDerivAt.sin, hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, HasStrictDerivAt.clog_real, hasDerivAt_of_hasDerivAt_of_ne', HasDerivWithinAt.sqrt, hasDerivAt_qaryEntropy, ProbabilityTheory.analyticOnNhd_cgf, SmoothBumpFunction.tsupport_subset_symm_image_closedBall, SmoothPartitionOfUnity.le_one, Monotone.ae_hasDerivAt, ContDiffMapSupportedIn.uniformSpace_eq_iInf, DifferentiableAt.log, HasFDerivAt.abs_of_pos, Set.OrdConnected.image_derivWithin, Continuous.exists_contMDiff_approx, HasFDerivAt.abs, abs_iteratedDeriv_cos_le_one, VectorFourier.iteratedFDeriv_fourierIntegral, differentiableAt_rpow_of_ne, exists_contMDiffMap_zero_one_nhds_of_isClosed, HasStrictFDerivAt.abs_of_neg, one_div_one_sub_hasFPowerSeriesOnBall_zero, HasFDerivWithinAt.abs, ContDiffBump.normed_convolution_eq_right, differentiableAt_log, HasDerivWithinAt.inner, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, DifferentiableAt.inner, HarmonicAt.differentiableAt_complex_partial, differentiable_fourierIntegral, ProbabilityTheory.exists_cgf_eq_iteratedDeriv_two_cgf_mul, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, fourierIntegral_iteratedDeriv, ContDiff.sin, deriv_neg_left_of_sign_deriv, 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, HasStrictDerivAt.exp, contDiff_bernoulliFun, ContDiffAt.rpow, HasFDerivWithinAt.inner, EuclideanSpace.instIsManifoldSphere, ContDiffWithinAt.arctan, DifferentiableWithinAt.abs, HasDerivAt.cosh, differentiable_exp, fderivWithin_cos, ProbabilityTheory.differentiableOn_mgf, contDiffOn_abs, hasStrictDerivAt_arcosh, differentiableAt_cos, SmoothBumpFunction.contMDiffAt, deriv_log', one_div_sub_hasFPowerSeriesOnBall_zero, ContDiff.euclidean_dist, DifferentiableOn.log, StrictMonoOn.exists_deriv_lt_slope_aux, HasStrictFDerivAt.sqrt, HasDerivWithinAt.complexToReal_fderiv, IsContMDiffRiemannianBundle.exists_contMDiff, HasDerivWithinAt.arsinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, deriv2_binEntropy, SmoothBumpCovering.sum_toSmoothPartitionOfUnity_eq, HasDerivAt.exp, SmoothBumpFunction.updateRIn_rOut, IsExtrOn.lineDeriv_eq_zero, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, ContDiffOn.inversion, DifferentiableAt.sqrt, HasStrictFDerivAt.rpow, contMDiff_subtype_coe_Icc, hasDerivAt_arcsin, differentiable_inner, analyticOn_arcosh, hasDerivAt_tan, deriv_tan_sub_id, DifferentiableOn.inversion, contDiffAt_log, leftDeriv_mul_log, ContDiffOn.abs, differentiableAt_Gamma, HasDerivAt.cos, pow_mul_norm_iteratedFDeriv_fourier_le, hasStrictDerivAt_cosh, ContDiffWithinAt.norm_sq, ProbabilityTheory.analyticOn_cgf, HasStrictDerivAt.cosh, ContDiffAt.cosh, gradient_eq_deriv', intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right, DifferentiableWithinAt.arctan, 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, MeasureTheory.setToFun_smul_left, HasDerivAt.complexToReal_fderiv', taylor_mean_remainder, ConvexOn.slope_le_leftDeriv, MeasureTheory.aemeasurable_fderivWithin, 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, ContDiff.norm_sq, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn, MonotoneOn.intervalIntegral_deriv_mem_uIcc, deriv_qaryEntropy, contDiffPointwiseHolderAt_iff, deriv_arctan, monotoneOn_deriv_descPochhammer_eval, HasDerivWithinAt.rpow, SmoothPartitionOfUnity.sum_eq_one', Differentiable.arctan, HasCompactSupport.integral_Iic_deriv_eq, ContDiffAt.rpow_const_of_ne, iteratedDerivWithin_sinh_Icc, hasDerivWithinAt_taylorWithinEval_at_Icc, SmoothPartitionOfUnity.mem_finsupport, DifferentiableWithinAt.inversion, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, has_antideriv_at_fourier_neg, differentiableAt_log_iff, IsOpen.exists_contMDiff_support_eq, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, HasFDerivWithinAt.log, Orientation.areaForm'_apply, hasStrictDerivAt_const_rpow_of_neg, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, contDiff_arsinh, HasDerivAt.sinh, contDiff_fourierIntegral, MeasureTheory.dist_convolution_le, intervalIntegral.integral_hasStrictFDerivAt, contDiffAt_arcsin_iff, ContDiffAt.arctan, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, hasDerivWithinAt_taylor_coeff_within, analyticAt_sigmoid, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, contDiffAt_norm, derivWithin_cos, ContDiffOn.log, fourier_fderiv, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, OpenPartialHomeomorph.contDiffOn_univUnitBall_symm, ContDiffMapSupportedIn.seminorm_top_le_iff, ConvexOn.monotoneOn_deriv, HasFDerivWithinAt.norm_sq, MeasureTheory.norm_weightedSMul_le, differentiableAt_abs_neg, SmoothBumpFunction.updateRIn_rIn, hasDerivAt_fourier_neg, ContDiffWithinAt.sinh, derivWithin_const_rpow, norm_fderiv_norm_rpow_le, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, HasCompactSupport.enorm_le_lintegral_Ici_deriv, hasStrictDerivAt_abs, iteratedDerivWithin_sin_Icc, SchwartzMap.fourierInv_lineDerivOp_eq, iteratedDeriv_odd_sinh, ContDiffWithinAt.dist, sum_mul_eq_sub_integral_mul₀', deriv_rpow_const, hasDerivAt_cos, Differentiable.sigmoid, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, ContDiff.rpow, InnerProductSpace.HarmonicOnNhd.contDiffOn, HasFDerivAt.abs_of_neg, DifferentiableOn.norm_sq, Differentiable.norm_rpow, hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, differentiableWithinAt_arcsin_Ici, ContDiff.exp, derivWithin_exp, hasDerivWithinAt_arcsin_Ici, HasStrictFDerivAt.arctan, hasDerivAt_taylorWithinEval_succ, IsMIntegralCurveAt.hasMFDerivAt, exists_contMDiffOn_forall_mem_convex_of_local, deriv_neg_right_of_sign_deriv, intervalIntegral.deriv_integral_left, contDiff_norm_sq, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, aestronglyMeasurable_derivWithin_Ici, deriv_abs_pos, derivWithin_rpow_const, ProbabilityTheory.hasFPowerSeriesAt_mgf, DifferentiableOn.sinh, MeasureTheory.convolution_mono_right_of_nonneg, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, ContDiff.inner, Conformal.differentiable, differentiableAt_cosh, DifferentiableOn.abs, taylorWithinEval_succ, HasDerivAt.norm_sq, conformalAt_iff_isConformalMap_fderiv, complexOfReal_deriv, exists_msmooth_support_eq_eq_one_iff, Polynomial.hermite_eq_deriv_gaussian', fderiv_exp, ContDiffAt.log, Differentiable.log, intervalIntegral.derivWithin_integral_right, analyticOnNhd_arsinh, fderiv_arctan, analyticAt_arcosh, ContDiffAt.real_of_complex, hasStrictFDerivAt_norm_sq, SmoothPartitionOfUnity.coe_finsupport, SchwartzMap.fourier_evalCLM_eq, Emetric.exists_contMDiffMap_forall_closedBall_subset, SchwartzMap.contDiffAt, ContDiffOn.sin, deriv_exp, contDiff_sin, SchwartzMap.hasFDerivAt, deriv_sinh, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, SchwartzMap.evalCLM_apply_apply, StrictConcaveOn.derivWithin_lt_slope, HasStrictDerivAt.log, MDifferentiableOn.inner_bundle, SingularManifold.boundaryless, DifferentiableAt.cosh, StrictConvexOn.slope_lt_derivWithin, hasDerivAt_rpow_const, IsMinOn.lineDeriv_eq_zero, differentiableAt_norm_smul, fderivWithin.log, iter_deriv_exp, HasFDerivWithinAt.sinh, Metric.exists_contMDiffMap_forall_closedBall_subset, differentiable_iteratedDeriv_cos, Differentiable.norm_sq, exists_msmooth_zero_iff_one_iff_of_isClosed, TestFunction.lineDerivCLM_eq_fderivCLM, isTheta_deriv_rpow_const_atTop, IccLeftChart_extend_bot, conformalFactorAt_inner_eq_mul_inner', HasFDerivAt.log, HasDerivWithinAt.arctan, SmoothPartitionOfUnity.finsum_smul_mem_convex, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, DifferentiableOn.cos, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_orthonormalBasis, TestFunction.lineDerivCLM_apply, tendsto_rightDeriv_mul_log_atTop, hasStrictDerivAt_arsinh, fourier_iteratedDeriv, HarmonicAt.analyticAt, SmoothPartitionOfUnity.sum_le_one', SchwartzMap.integral_pow_mul_iteratedFDeriv_le, AnalyticWithinAt.re_ofReal, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, contDiff_cos, exists_closed_cover_approximatesLinearOn_of_hasFDerivWithinAt, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, instIsRiemannianManifoldModelWithCornersSelfReal, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, SmoothBumpFunction.isClosed_image_of_isClosed, ContMDiffOn.inner_bundle, SmoothPartitionOfUnity.sum_nonneg, MeasureTheory.L1.nnnorm_Integral_le_one, HasFDerivAt.exp, Manifold.riemannianEDist_def, hasDerivAt_circleMap, hasFDerivWithinAt_closure_of_tendsto_fderiv, one_div_one_sub_rpow_hasFPowerSeriesOnBall_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, AnalyticAt.sigmoid, iteratedDeriv_even_cos, curveIntegralFun_def', modelWithCornersEuclideanHalfSpace_zero, ContinuousLinearMap.norm_extendTo𝕜'_bound, SmoothBumpFunction.isClosed_symm_image_closedBall, differentiableAt_arctan, ContDiffWithinAt.rpow, differentiableWithinAt_abs_neg, sum_mul_eq_sub_integral_mul₁, ContDiffAt.norm_sq, ProbabilityTheory.iteratedDeriv_mgf_zero, differentiableOn_negMulLog, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, HasDerivAt.arsinh, hasDerivAt_fourier, complexOfReal_fderivWithin, OpenPartialHomeomorph.contDiff_univBall, StrongDual.extendRCLikeₗᵢ_symm_apply, rightDeriv_mul_log, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, hasStrictDerivAt_abs_neg, MDifferentiableWithinAt.inner_bundle, intervalIntegral.deriv_integral_of_tendsto_ae_right, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DifferentiableWithinAt.abs_of_neg, DifferentiableWithinAt.cosh, HasFDerivAt.inner, HasDerivAt.rpow, fderivWithin_exp, 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', StrictConcaveOn.strictAntiOn_deriv, contMDiffWithinAt_comp_projIcc_iff, hasFDerivAt_polarCoord_symm, ConcaveOn.slope_le_derivWithin, AnalyticWithinAt.im_ofReal, HasFDerivWithinAt.rpow_const, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ODE.contDiffOn_comp, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, deriv_arcsin, SchwartzMap.le_seminorm, ConvexOn.monotoneOn_leftDeriv, iteratedDeriv_fourier, differentiable_sin, ContDiff.fourierPowSMulRight, derivWithin_sin, HasFDerivAt.sinh, eventually_norm_symmL_trivializationAt_comp_self_lt, eulerMascheroniConstant_eq_neg_deriv, deriv_const_rpow, not_differentiableAt_inv_log_zero, ContDiffAt.rpow_const_of_le, InnerProductSpace.laplacianWithin_eq_iteratedFDerivWithin_stdOrthonormalBasis, enorm_sub_le_lintegral_deriv_of_contDiffOn_Icc, 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, Convex.image_derivWithin, OpenPartialHomeomorph.contDiff_unitBallBall, exists_contMDiff_zero_iff_one_iff_of_isClosed, ContDiff.rpow_const_of_le, IsMaxOn.lineDerivWithin_eq_zero, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, SmoothBumpFunction.contMDiff_smul, ContDiffOn.arctan, intervalIntegral.derivWithin_integral_of_tendsto_ae_right, differentiableAt_tan, differentiable_cosh, MeasureTheory.iteratedDeriv_charFun, DifferentiableAt.rpow, VectorFourier.contDiff_fourierIntegral, ConcaveOn.leftDeriv_le_slope, ProbabilityTheory.variance_dual_stdGaussian, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, HasDerivWithinAt.sinh, ContDiffBump.contDiff_normed, ConcaveOn.derivWithin_le_slope, Diffeology.isPlot_iff_contDiff, ODE.contDiffOn_enat_picard_Icc, ContDiff.rpow_const_of_ne, HasFDerivAt.rpow_const, contDiffAt_inner, norm_fderiv_norm, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, eventually_enorm_mfderiv_extChartAt_lt, StrongDual.extendRCLikeₗᵢ_apply, enorm_tangentSpace_vectorSpace, HasDerivAt.ofReal_comp, Differentiable.inner, DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, hasDerivAt_log, oneTangentSpaceIcc_def, HasStrictFDerivAt.const_rpow, IccRightChart_extend_top_mem_frontier, ConcaveOn.deriv_le_slope, AnalyticWithinAt.rexp, ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl, InnerProductSpace.laplacianWithin_eq_iteratedDerivWithin_real, HasFDerivWithinAt.abs_of_pos, Module.Basis.parallelepiped_eq_map, SmoothPartitionOfUnity.sum_eq_one, ODE.contDiffOn_enat_Icc_of_hasDerivWithinAt, DifferentiableAt.differentiableAt_norm_of_smul, SchwartzMap.hasDerivAt, HasStrictFDerivAt.cos, ContDiffWithinAt.cos, exists_smooth_section_forall_mem_convex_of_local, RCLike.ofRealCLM_norm, deriv_cos, DifferentiableAt.arsinh, ContDiffBump.contDiffAt, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_pos, HasFDerivWithinAt.arsinh, hasStrictDerivAt_arctan, StrictConcaveOn.strictAntiOn_derivWithin, ContDiffOn.norm_sq, TestFunction.fderivCLM_eq_of_scalars, 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, fourierIntegral_fderiv, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, eventually_norm_symmL_trivializationAt_lt, ContDiffWithinAt.abs, differentiableOn_arccos, IsLocalMin.deriv_eq_zero, hasDerivAt_cosh, tendsto_deriv_mul_log_atTop, HasFDerivAt.sin, LipschitzOnWith.ae_differentiableWithinAt_real, SmoothBumpCovering.mem_extChartAt_ind_source, IsIntegralCurveAt.hasDerivAt, SchwartzMap.tsupport_fderivCLM_subset, Continuous.exists_contMDiff_approx_and_eqOn, ContDiffAt.contDiffAt_norm_of_smul, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, hasDerivAt_fourierChar, analyticWithinAt_sigmoid, analyticOn_sigmoid, Complex.conjCLE_enorm, differentiableWithinAt_arccos_Iic, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, exists_contMDiffMap_forall_mem_convex_of_local, iteratedDerivWithin_sinh_Ioo, expNegInvGlue.contDiff, ODE.hasDerivWithinAt_picard_Icc, iteratedFDeriv_fourier, nnnorm_fderiv_norm_rpow_le, hasFPowerSeriesOnBall_linear_zero, differentiableAt_abs_pos, Differentiable.exp, ContDiff.inversion, ContDiffMapSupportedIn.structureMapCLM_top_apply, contDiffOn_arccos, hasDerivAt_Gamma_one_half, HasStrictDerivAt.arsinh, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, InnerProductSpace.laplacian_eq_iteratedFDeriv_complexPlane, isMIntegralCurveAt_comp_mul_ne_zero, HasFDerivAt.hasFDerivAt_norm_smul, setOf_riemannianEDist_lt_subset_nhds, range_mfderiv_coe_sphere, eventually_riemannianEDist_le_edist_extChartAt, IsMIntegralCurve.comp_mul, ConvexOn.derivWithin_le_slope, HasFDerivWithinAt.sqrt, iteratedDeriv_even_sinh, ContDiffMapSupportedIn.structureMapLM_top_apply, one_add_rpow_hasFPowerSeriesAt_zero, hasFDerivAt_fourierIntegral, intervalIntegral.integral_hasDerivAt_of_tendsto_ae_left, differentiable_mulExpNegMulSq, differentiableAt_arccos, fderivWithin_sqrt, not_DifferentiableAt_log_mul_zero, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, contDiff_sinh, fderiv_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, ContDiffAt.norm, 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, ContDiffWithinAt.exp, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, not_differentiableAt_rpow_const_zero, Differentiable.dist, EulerSine.antideriv_cos_comp_const_mul, curveIntegral_eq_intervalIntegral_deriv, Differentiable.sqrt, RightDerivMeasurableAux.differentiable_set_eq_D, taylor_integral_remainder_aux, HasFDerivWithinAt.arctan, contDiff_arctan, ContDiffAt.dist, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.iteratedDeriv_two_cgf, DifferentiableWithinAt.rpow_const, measurableSet_of_differentiableWithinAt_Ioi, HasFDerivWithinAt.rpow, 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, exists_ratio_deriv_eq_ratio_slope', ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, intervalIntegral.fderivWithin_integral_of_tendsto_ae, one_add_rpow_hasFPowerSeriesAt_zero, iteratedDeriv_even_sin, exists_smooth_zero_one_of_isClosed, ContMDiff.inner_bundle, EulerSine.antideriv_sin_comp_const_mul, DifferentiableOn.arctan, analyticOnNhd_cos, analyticAt_log, Diffeology.IsPlot.contDiff, ContDiffOn.exp, ContDiffBump.convolution_eq_right, measurable_derivWithin_Ioi, ProbabilityTheory.deriv_cgf, DifferentiableOn.cosh, contDiff_stereoInvFunAux, expNegInvGlue.contDiff_polynomial_eval_inv_mul, intervalIntegral.integral_hasFDerivWithinAt, SmoothBumpCovering.embeddingPiTangent_injective, exists_contMDiffOn_section_forall_mem_convex_of_local, instIsContMDiffRiemannianBundleTrivial, ContDiff.dist, HasDerivWithinAt.rpow_const, exists_contMDiff_support_eq_eq_one_iff, HasFDerivAt.cos, DifferentiableWithinAt.arsinh, MeasureTheory.L1.norm_setToL1_le', TestFunction.fderivCLM_apply_of_gt, hasDerivAt_gronwallBound, EuclideanGeometry.hasFDerivAt_inversion, isBigO_deriv_ofReal_cpow_const_atTop, ContDiffWithinAt.rpow_const_of_ne, stronglyMeasurable_derivWithin_Ici, exists_deriv_eq_slope', hasDerivAt_ofReal_cpow_const, hasDerivAt_norm_rpow, differentiableAt_tan_of_mem_Ioo, not_continuousAt_deriv_qaryEntropy_zero, ContMDiffAt.inner_bundle, SmoothPartitionOfUnity.sum_finsupport_smul_eq_finsum, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, contDiff_cosh, MeasureTheory.contDiff_charFun, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, AnalyticWithinAt.sigmoid, analyticAt_arsinh, Differentiable.inversion, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, HasFDerivAt.const_rpow, SchwartzMap.fderivCLM_fourier_eq, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, SchwartzMap.derivCLM_apply, Convex.image_deriv, pow_mul_norm_iteratedFDeriv_fourierIntegral_le, deriv_cos, iteratedDeriv_exp_const_mul, SmoothPartitionOfUnity.contMDiff_finsum_smul, ContDiffWithinAt.rpow_const_of_le, 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, ContDiffMapSupportedIn.fderivLM_apply, contDiff_rpow_const_of_le, exists_smooth_forall_mem_convex_of_local_const, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, contDiffOn_arcosh, HasFDerivAt.arsinh, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.L1.setToL1_add_left, ProbabilityTheory.analyticOnNhd_mgf, differentiable_iteratedDeriv_cosh, hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, DifferentiableAt.abs, ContDiffPointwiseHolderAt.contDiffAt, Manifold.pathELength_eq_lintegral_mfderiv_Icc, DifferentiableAt.cos, ContDiffPointwiseHolderAt.fderiv, hasFDerivAt_pi_polarCoord_symm, ContDiffWithinAt.inner, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt, analyticAt_cosh, norm_tangentSpace_vectorSpace, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, DifferentiableWithinAt.norm_sq, fourierIntegral_continuousLinearMap_apply', contDiffAt_rpow_const_of_ne, Continuous.exists_contDiff_approx, ConvexOn.deriv_le_slope, isMIntegralCurveOn_comp_mul_ne_zero, ProbabilityTheory.iteratedDeriv_two_cgf_eq_integral, ConvexOn.rightDeriv_le_slope, ContDiffMapSupportedIn.continuous_iff_comp_order_le, differentiable_fourierChar, logDeriv_sin, ContDiff.abs, OrthonormalBasis.norm_dual, DifferentiableOn.sin, deriv_cos', SmoothBumpCovering.support_toSmoothPartitionOfUnity_subset, isBigO_deriv_rpow_const_atTop, SchwartzMap.decay, Continuous.deriv_integral, DifferentiableOn.dist, deriv_rpow_const', differentiableAt_arcosh, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, SchwartzMap.lineDerivOp_apply_eq_fderiv, SingularManifold.instIsManifoldRealM, hasStrictDerivAt_sqrt, DifferentiableOn.rpow_const, TestFunction.contDiff', hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, iter_deriv_rpow_const, Complex.imCLM_nnnorm, SmoothBumpFunction.contMDiff, AnalyticAt.re_ofReal, HasFDerivAt.hasFDerivAt_norm_smul_neg, hasDerivAt_exp, fderiv_sqrt, eventually_norm_mfderivWithin_symm_extChartAt_comp_lt, MeasureTheory.norm_condExpInd_le, SmoothPartitionOfUnity.finite_tsupport, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffAt.exists_eventually_eq_hasDerivAt, iteratedDerivWithin_cosh_Icc, InnerProductSpace.laplacian_eq_iteratedFDeriv_orthonormalBasis, deriv_inner_apply, analyticWithinAt_rexp, ContDiff.norm, IsMIntegralCurveAt.comp_mul_ne_zero, OpenPartialHomeomorph.contDiffOn_univBall_symm, deriv_fourierChar, iteratedFDeriv_fourierIntegral, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, StieltjesFunction.ae_hasDerivAt, contDiffWithinAt_abs, norm_sub_le_mul_volume_of_norm_fderiv_le, contDiffAt_arccos, differentiableAt_negMulLog, SmoothBumpFunction.tsupport_subset_extChartAt_source, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, exists_embedding_euclidean_of_compact, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, HasDerivAt.inner, hasDerivAt_ofReal_cpow_const', ContDiff.sqrt, analyticOn_arsinh, analyticWithinAt_sin, differentiable_fourierChar_neg_bilinear_right, Complex.conjCLE_norm, ConvexOn.monotoneOn_derivWithin, BumpCovering.coe_toSmoothPartitionOfUnity, ContDiffWithinAt.arsinh, ConcaveOn.slope_le_rightDeriv, ContDiffMapSupportedIn.fderivCLM_apply_of_le, hasFDerivAt_integral_of_dominated_of_fderiv_le'', ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, MeasureTheory.L1.norm_Integral_le_one, MeasureTheory.convolution_mono_right, AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Complex.imCLM_enorm, IsMaxOn.lineDeriv_eq_zero, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, SchwartzMap.le_seminorm', complexOfReal_fderiv, differentiable_norm_rpow, VectorFourier.norm_fourierSMulRight_le, ConvexOn.slope_le_derivWithin, ContDiffWithinAt.inversion, ContDiffAt.sin, iteratedDeriv_odd_sin, Complex.ofRealCLM_enorm, tendsto_sum_mul_atTop_nhds_one_sub_integral, one_div_sub_pow_hasFPowerSeriesOnBall_zero, ContDiffMapSupportedIn.bounded_iteratedFDeriv, analyticOn_sinh, HasStrictFDerivAt.sin, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, differentiableAt_sinh, differentiable_iteratedDeriv_sinh, HasFDerivWithinAt.const_rpow, ContDiffMapSupportedIn.fderivCLM_apply, TestFunction.fderivCLM_apply, fderivWithin_cosh, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, VectorFourier.norm_fourierPowSMulRight_le, deriv_pos_left_of_sign_deriv, derivWithin_Ioi_eq_Ici, SmoothPartitionOfUnity.mem_fintsupport_iff, Emetric.exists_smooth_forall_closedBall_subset, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, hasFDerivAt_fourierChar_neg_bilinear_right, fourier_continuousMultilinearMap_apply, ContDiffMapSupportedIn.continuous_iff_comp, UniformContinuous.exists_contDiff_dist_le, VectorFourier.norm_fourierSMulRight, DifferentiableAt.inversion, differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, InnerProductSpace.laplacian_eq_iteratedDeriv_real, taylor_mean_remainder_cauchy, ContDiff.contDiffBump, ContDiff.sinh, intervalIntegral.integral_hasStrictDerivAt_right, SchwartzMap.fourier_fderivCLM_eq, exists_deriv_eq_slope, ContDiffAt.abs, ContDiffAt.cos, Complex.hasStrictFDerivAt_log_real, analyticWithinAt_arcosh, iteratedDeriv_fourierIntegral, hasStrictDerivAt_tan, ContDiffAt.inner, intervalIntegral.integral_hasStrictDerivAt_left, ProbabilityTheory.deriv_cgf_zero, DifferentiableOn.exp, sum_mul_eq_sub_sub_integral_mul', LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, DifferentiableAt.norm, differentiable_fourierChar_neg_bilinear_left, 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complexOfReal_derivWithin, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, HasDerivWithinAt.log, analyticOnNhd_arcosh, sum_mul_eq_sub_sub_integral_mul, exists_contMDiffMap_one_nhds_of_subset_interior, ContDiffWithinAt.log, deriv_mul_log_zero, DifferentiableWithinAt.inner, SmoothPartitionOfUnity.sum_le_one, VectorFourier.fourierIntegral_fderiv, AnalyticWithinAt.log, 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, ConcaveOn.slope_le_deriv, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, measurableSet_of_differentiableWithinAt_Ici, eventually_norm_mfderiv_extChartAt_lt, ContMDiffWithinAt.inner_bundle, contDiffOn_arcsin, boundary_Icc, SchwartzMap.smooth, contDiffAt_arccos_iff, deriv_sqrt_mul_log', isMIntegralCurve_comp_mul_ne_zero, differentiableAt_binEntropy_iff_ne_zero_one, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, SchwartzMap.integrable_pow_mul_iteratedFDeriv, fderiv_fourierChar_neg_bilinear_left_apply, deriv_tan, ConcaveOn.antitoneOn_deriv, fourierIntegral_continuousMultilinearMap_apply', TestFunctionClass.map_contDiff, differentiable_fourier, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, UpperHalfPlane.hasStrictFDerivAt_smul, fourierIntegral_iteratedFDeriv, Function.HasTemperateGrowth.isBigO_uniform, Differentiable.cos, 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, Manifold.exists_lt_locally_constant_of_riemannianEDist_lt, differentiable_sigmoid, RightDerivMeasurableAux.mem_A_of_differentiable, DifferentiableAt.abs_of_pos, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, HasDerivAt.clog_real, one_div_sub_sq_hasFPowerSeriesOnBall_zero, HasFDerivAt.rpow, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, ContDiffMapSupportedIn.structureMapLM_apply, AnalyticOn.log, DifferentiableAt.abs_of_neg, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, ContDiffBump.contDiffWithinAt, ContDiff.arsinh, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, derivWithin.log, InnerProductSpace.HarmonicContOnCl.contDiffAt, intervalIntegral.integral_deriv_of_contDiffOn_Icc, curveIntegralFun_def, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, Differentiable.norm, deriv_fourier, contDiff_sigmoid, HasFDerivWithinAt.sin, setOf_riemannianEDist_lt_subset_nhds', ContDiffWithinAt.sqrt, HasStrictFDerivAt.exp, DifferentiableAt.dist, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, fderiv_sin, ContDiffAt.sqrt, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, ContDiffAt.contDiffBump, fderiv_norm_sq, HasStrictDerivAt.sqrt, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Function.HasTemperateGrowth.isBigO, ContDiffOn.dist, MDifferentiable.inner_bundle, deriv_cosh, 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, ProbabilityTheory.charFunDual_stdGaussian, iteratedDerivWithin_sin_Ioo, instIsManifoldIcc, deriv_sqrt, fderiv_inner_apply, SmoothBumpCovering.toSmoothPartitionOfUnity_zero_of_zero, contDiffAt_abs, deriv2_sqrt_mul_log, SmoothPartitionOfUnity.contMDiff_sum, hasStrictDerivAt_log_of_pos, contMDiffOn_projIcc, ContDiff.cosh, Metric.exists_contMDiffMap_forall_closedEBall_subset, contMDiff_circleExp, SmoothBumpFunction.image_eq_inter_preimage_of_subset_support, DifferentiableWithinAt.cos, deriv2_negMulLog, ContDiffOn.sinh, HasFDerivWithinAt.cosh, SmoothBumpFunction.closedBall_subset, ContDiffOn.arsinh, HasStrictFDerivAt.rpow_const, intervalIntegral.differentiableOn_integral_of_continuous, differentiable_circleMap, SmoothBumpFunction.isCompact_symm_image_closedBall, smoothTransition.contDiff, AnalyticAt.im_ofReal, differentiableAt_negMulLog_iff, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, 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, InnerProductSpace.HarmonicContOnCl.differentiableAt
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normedField 📖 | CompOp | 3389 math, 1 bridgemath: MeasureTheory.Measure.exists_innerRegular_eq_of_isCompact, IsLocalMaxOn.fderivWithin_nonpos, Orientation.rightAngleRotationAux₁_rightAngleRotationAux₁, MeasureTheory.L1.setToL1_eq_setToL1', TestFunction.lineDerivCLM_apply_of_le, EuclideanGeometry.Sphere.vadd_mem_inter_orthRadius_iff_norm_sq, 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, hasDerivAt_fourier, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, HasStrictFDerivAt.log, MeasureTheory.tendsto_integral_thickenedIndicator_of_isClosed, TemperedDistribution.lineDerivOpCLM_eq, MeasureTheory.integral_eq_iff_of_ae_le, IsIntegralCurve.comp_mul, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Orientation.oangle_sign_smul_add_right, Orientation.kahler_map_complex, MeasureTheory.setIntegral_tilted, Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul, MeasureTheory.setToFun_add_left, Seminorm.isBounded_const, Affine.Simplex.altitudeFoot_restrict, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, isConformalMap_conj, HasDerivWithinAt.clog_real, taylor_integral_remainder, EuclideanGeometry.dist_smul_vadd_sq, Bundle.ContMDiffRiemannianMetric.isVonNBounded, SchwartzMap.lineDerivOpCLM_eq, real_inner_div_norm_mul_norm_eq_neg_one_iff, EuclideanGeometry.euclideanHausdorffMeasure_eq, ConformalAt.differentiableAt, Orientation.oangle_ne_zero_and_ne_pi_iff_linearIndependent, MeasureTheory.condExpInd_of_measurable, deriv_exp, cfcₙL_integral, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, isNonneg_inner, Bundle.ContMDiffRiemannianMetric.contMDiff, ModularForm.smul_slash, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, MonotoneOn.intervalIntegral_slope_le, HasDerivAt.const_rpow, Distribution.delta_apply, ProbabilityTheory.isGaussian_iff_gaussian_charFun, StandardSubspace.toClosedSubmodule_injective, differentiable_arctan, ProperCone.innerDual_le_innerDual, RCLike.map_apply, differentiableAt_mulExpNegMulSq, EuclideanGeometry.Cospherical.subtype_val_iff, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, Collinear.wbtw_of_dist_eq_of_dist_le, Complex.restrictScalars_one_smulRight', MeasureTheory.eval_integral, MeasureTheory.aestronglyMeasurable_condExpInd, MeasureTheory.setIntegral_nonpos_ae, HasStrictFDerivAt.abs_of_pos, MeasureTheory.Martingale.smul, IsSelfAdjoint.quasispectrumRestricts, MeasureTheory.integral_convexOn_of_integrand_ae, mellin_eq_fourier, Affine.Triangle.oangle_excenter_singleton_eq_add_pi, SchwartzMap.instLineDerivLeftSMulReal, taylorWithin_succ, MeasureTheory.Measure.addHaar_image_continuousLinearMap, Matrix.IsHermitian.isClosedEmbedding_cfcAux, RCLike.ofRealCLM_apply, deriv_arctan, dimH_of_mem_nhds, MeasureTheory.charFun_eq_fourierIntegral', 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AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ContinuousLinearMap.comp_condExp_comm, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, HasDerivWithinAt.cosh, 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, hasDerivWithinAt_taylorWithinEval, Function.HasTemperateGrowth.fun_pow, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_faceOpposite, MeasureTheory.fst_integral_withLp, EuclideanGeometry.Cospherical.affineIndependent_of_mem_of_ne, PeriodPair.basis_one, MeasureTheory.L1.norm_setToL1_le, StrictConvexOn.deriv_lt_slope, MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, 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, Differentiable.cosh, 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, ProbabilityTheory.hasSum_integral_poissonMeasure, 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, ProbabilityTheory.isGaussian_multivariateGaussian, fourier_continuousLinearMap_apply, intervalIntegral.integral_deriv_of_contDiffOn_uIcc, Unitization.real_cfcₙ_eq_cfc_inr, PMF.bernoulli_expectation, real_inner_smul_self_left, ProbabilityTheory.IndepFun.charFunDual_map_fun_add_eq_mul, intervalIntegral.fderiv_integral_of_tendsto_ae, LipschitzWith.memLp_lineDeriv, SmoothPartitionOfUnity.contMDiffAt_finsum, Affine.Simplex.dist_point_faceOppositeCentroid, differentiableWithinAt_abs_pos, ContDiffMapSupportedIn.structureMapCLM_apply, StrictConcaveOn.lt_slope_of_hasDerivAt, Module.Dual.extendRCLikeₗ_symm_apply, EuclideanGeometry.Sphere.inter_orthRadius_eq_of_dist_le_radius, LipschitzWith.ae_lineDeriv_sum_eq, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, DifferentiableWithinAt.norm, det_fderivPolarCoordSymm, setIntegral_withDensity_eq_setIntegral_toReal_smul, MeasureTheory.integral_mul_norm_le_Lp_mul_Lq, ProbabilityTheory.covarianceBilin_multivariateGaussian, DifferentiableWithinAt.sqrt, 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, StrictConcaveOn.slope_lt_rightDeriv, Orientation.eq_rotation_self_iff_angle_eq_zero, hasDerivAt_bernoulliFun, Orientation.volumeForm_neg_orientation, intervalIntegral.integral_deriv_smul_comp', CFC.nnnorm_sqrt, IsometryEquiv.toRealLinearIsometryEquiv_apply, MeasureTheory.condExpIndL1Fin_smul, ProbabilityTheory.uncenteredCovarianceBilin_apply, InnerProductGeometry.angle_smul_right_of_pos, StrongDual.norm_extendRCLike_bound, deriv_log, CStarAlgebra.norm_or_neg_norm_mem_spectrum, StrictConvexOn.rightDeriv_lt_slope, derivWithin_arctan, intervalIntegral.integral_comp_sub_div, Isometry.coe_affineIsometryOfStrictConvexSpace, Complex.ofRealCLM_norm, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivAt, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, 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, IsConformalMap.is_complex_or_conj_linear, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_ne, AkraBazziRecurrence.isBigO_apply_r_sub_b, HasGradientAt.hasDerivAt', MeasureTheory.L1.SimpleFunc.setToL1SCLM_const, DifferentiableAt.sigmoid, Affine.Triangle.sbtw_touchpoint_singleton, Affine.Triangle.dist_point_faceOppositeCentroid, ContinuousLinearMap.comp_condExp_add_const_comm, ContDiffMapSupportedIn.seminorm_fderivLM_le, Bundle.RiemannianMetric.isVonNBounded, MeasureTheory.toReal_rnDeriv_tilted_left, ContDiffMapSupportedIn.seminorm_fderivLM_top, 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, intervalIntegral.integral_deriv_eq_sub, fourierIntegral_gaussian_innerProductSpace', ProbabilityTheory.integral_gaussianReal_eq_integral_smul, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, EuclideanGeometry.Sphere.mem_commonExtTangents_iff, InnerProductSpace.canonicalCovariantTensor_eq_sum, RCLike.re_add_im_ax, MeasureTheory.charFun_eq_fourierIntegral, differentiableOn_log, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, Differentiable.fderiv_norm_rpow, combo_mem_ball_of_ne, lintegral_fderiv_lineMap_eq_edist, EuclideanGeometry.oangle_sign_eq_zero_iff_collinear, Set.OrdConnected.image_deriv, TestFunction.monoCLM_eq_zero, TopologicalGroup.IsSES.integral_inducedMeasure, UpperHalfPlane.σ_sq, 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, integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable_aux1, conformal_const_smul, ProbabilityTheory.HasGaussianLaw.toLp_pi, Complex.hasStrictFDerivAt_exp_real, ModularForm.prod_slash, 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, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, Affine.Simplex.ExcenterExists.affineCombination_eq_excenter_iff, vector_fourierIntegral_eq_integral_exp_smul, StrictConvexOn.strictMonoOn_deriv, MeasureTheory.integral_div, hasDerivAt_mul_log, EuclideanGeometry.Sphere.mem_tangentsFrom_iff, derivWithin_cosh, ProbabilityTheory.covarianceOperator_apply, fderivWithin_sinh, InnerProductGeometry.angle_smul_left_of_neg, differentiableWithinAt_abs, MeasureTheory.integral_tilted, ContDiffAt.laplacian_CLM_comp_left, deriv_arccos, hasDerivAt_of_hasDerivAt_of_ne, MeasureTheory.average_mem_openSegment_compl_self, hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, LocallyBoundedVariationOn.ae_differentiableWithinAt, MeasureTheory.Measure.toSphere_real_apply_univ, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_quasispectrum, cfcₙHom_nnreal_eq_restrict, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, TestFunction.toBoundedContinuousFunctionCLM_apply, Conformal.const_smul, Complex.conjCAE_apply, 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, StrictConcaveOn.slope_lt_derivWithin, HasFDerivAt.norm_sq, 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, MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul, MeasureTheory.lintegral_abs_det_fderiv_eq_addHaar_image, scalarSMulCLE_symm_apply, fourier_deriv, 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, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_sum, ProbabilityTheory.iIndepFun.charFunDual_map_finset_sum_eq_prod, mem_posTangentConeAt_of_frequently_mem, 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, DifferentiableWithinAt.abs_of_pos, smul_unitClosedBall_of_nonneg, deriv.log, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, AffineIsometryEquiv.pointReflection_midpoint_left, HarmonicAt.analyticAt_complex_partial, MeasureTheory.SimpleFunc.setToSimpleFunc_const, interior_convexHull_nonempty_iff_affineSpan_eq_top, isIntegralCurveAt_comp_mul_ne_zero, 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, ConcaveOn.slope_le_of_hasDerivAt, signedDist_left_congr, MeasureTheory.measure_integral_le_pos, exists_deriv_eq_zero, Affine.Simplex.ExcenterExists.touchpoint_map, LipschitzWith.hasFDerivAt_of_hasLineDerivAt_of_closure, 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, EuclideanGeometry.Cospherical.inclusion_iff, Module.Basis.parallelepiped_reindex, curveIntegralFun_segment, RCLike.reCLM_norm, IsCoercive.unique_continuousLinearEquivOfBilin, Besicovitch.SatelliteConfig.exists_normalized_aux2, signedDist_triangle, HasDerivWithinAt.sin, 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, EuclideanGeometry.Cospherical.inclusion, enorm_fderiv_norm_rpow_le, MeasureTheory.condExp_bilin_of_aestronglyMeasurable_right, convexOn_univ_dist, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, ProbabilityTheory.iIndepFun.charFunDual_map_fun_sum_eq_prod, Unitization.sqrt_inr, MeasurableEquiv.withDensity_ofReal_map_symm_apply_eq_integral_abs_det_fderiv_mul, MonotoneOn.intervalIntegrable_deriv, HasDerivAt.sqrt, Continuous.cfc_nnreal', Orientation.abs_volumeForm_apply_of_orthonormal, signedDist_linear_apply_apply, MeasureTheory.exists_average_le, Affine.Simplex.sSameSide_incenter_point, isSymm_inner, EuclideanGeometry.collinear_iff_of_two_zsmul_oangle_eq, BoxIntegral.hasIntegral_GP_pderiv, setIntegral_withDensity_eq_setIntegral_toReal_smul₀, TopologicalGroup.IsSES.pushforward_def, fourier_gaussian_innerProductSpace, fourierIntegral_continuousMultilinearMap_apply, EuclideanGeometry.oangle_midpoint_right, ProbabilityTheory.HasGaussianLaw.smul, Affine.Simplex.ExcenterExists.excenter_map, MeasureTheory.integral_eq_integral_pos_part_sub_integral_neg_part, NumberField.mixedEmbedding.negAt_apply_snd, StrictConvexOn.lt_slope_of_hasDerivAt, nnnorm_algebraMap_nnreal, ProbabilityTheory.HasGaussianLaw.neg, Orientation.neg_rotation_neg_pi_div_two, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.charFunDual_eq_charFun_map_one, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, 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, HasFDerivAt.arctan, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, hasStrictDerivAt_arccos, RCLike.conjCLE_apply, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, Affine.Simplex.circumradius_restrict, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, 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, HasStrictFDerivAt.abs, 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, TestFunction.fderivCLM_ofSupportedIn, Euclidean.closedBall_eq_image, Affine.Simplex.touchpoint_singleton_mem_interior_faceOpposite, IsIntegralCurveOn.comp_mul, 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, Convex.cthickening, MeasureTheory.L1.SimpleFunc.setToL1S_add_left, EuclideanGeometry.Sphere.secondInter_collinear, fderiv_fourier, ApproximatesLinearOn.norm_fderiv_sub_le, MeasureTheory.charFunDual_pi', MeasureTheory.L1.setToL1_smul_left, RCLike.toIsStrictOrderedModule, ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, norm_sub_le_mul_volume_of_norm_lineDeriv_le, MeasureTheory.Measure.addHaar_ball_mul, norm_deriv_mulExpNegMulSq_le_one, MeasureTheory.L1.setToL1_zero_left, Quaternion.linearIsometryEquivTuple_symm_apply, EuclideanGeometry.angle_orthogonalProjection_self, Affine.Simplex.ninePointCircle_eq_circumsphere_medial, EuclideanGeometry.Sphere.inner_vsub_center_midpoint_vsub, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, MeasureTheory.integrable_sum_measure_iff, ProbabilityTheory.covarianceBilin_apply_basisFun_self, MeasureTheory.condExpInd_nonneg, StrictConvex.extremePoints_eq_diff_interior, tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux, EuclideanGeometry.dist_orthogonalProjection_eq_of_oangle_eq, StrictConcaveOn.deriv_lt_slope, Orientation.areaForm_to_volumeForm, stereoInvFunAux_apply, norm_curveIntegral_segment_le, UpperHalfPlane.denom_cocycle_σ, VectorFourier.fourierIntegral_continuousLinearMap_apply, signedDist_le_dist, not_continuousAt_deriv_mul_log_zero, MeasureTheory.integral_Ioi_deriv_mul_eq_sub, HasStrictFDerivAt.arsinh, EuclideanGeometry.Sphere.IsTangentAt.mem_space, Affine.Simplex.circumcenter_reindex, AffineSubspace.isConnected_setOf_wOppSide, HasFDerivWithinAt.exp, 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, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_sum, EuclideanGeometry.inversion_vsub_center, EuclideanGeometry.dist_orthogonalProjection_eq_iff_angle_eq, fderivWithin_sin, Orientation.rightAngleRotation_trans_rightAngleRotation, StrictConcaveOn.slope_lt_deriv, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, MeasureTheory.pdf.integral_pdf_smul, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, CFC.continuousOn_sqrt, Monotone.ae_differentiableAt, ConvexOn.slope_le_deriv, norm_algebraMap_nnreal, MeasureTheory.condExpL2_indicator_ae_eq_smul, Affine.Simplex.excenter_eq_affineCombination, Differentiable.abs, conformalAt_const_smul, Affine.Triangle.dist_div_sin_angle_eq_two_mul_circumradius, IsMIntegralCurveOn.hasDerivWithinAt, DifferentiableOn.rpow, MeasureTheory.Measure.integral_toReal_rnDeriv', SimpleGraph.lapMatrix_toLinearMap₂'_apply'_eq_zero_iff_forall_reachable, NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, fourier_iteratedFDeriv, 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', integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable, InnerProductSpace.HarmonicOnNhd.comp_CLM, Orientation.oangle_sign_sub_smul_right, ProperCone.innerDual_sUnion, AffineSubspace.perpBisector_nonempty, Complex.integral_comp_polarCoord_symm, DifferentiableAt.rpow_const, signedDist_apply_apply, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_neg, differentiableAt_rpow_const_of_ne, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, Orientation.oangle_smul_left_self_of_nonneg, Affine.Simplex.altitudeFoot_mem_affineSpan_image_compl, ProbabilityTheory.gaussianReal_map_continuousLinearMap, hasDerivAt_arsinh, SchwartzMap.differentiable, MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul, Orientation.areaForm_swap, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, taylor_tendsto, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, HasDerivWithinAt.cos, Differentiable.sinh, ProbabilityTheory.covarianceOperator_zero, HasFDerivAt.curveIntegral_segment_source, Bundle.ContinuousRiemannianMetric.symm, hasDerivWithinAt_Iic_of_tendsto_deriv, mellin_hasDerivAt_of_isBigO_rpow, LinearIsometryEquiv.measurePreserving, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left', fderiv.log, HasStrictDerivAt.arctan, 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, MeasureTheory.condExp_smul_of_aestronglyMeasurable_right, Affine.Simplex.excenterWeightsUnnorm_map, EuclideanGeometry.Sphere.IsExtTangentAt.wbtw, HasStrictDerivAt.real_of_complex, Matrix.PosSemidef.det_sqrt, StrictConvexSpace.of_norm_combo_ne_one, Orientation.rotation_map_complex, BoxIntegral.HasIntegral.smul, deriv_rpow_const, integral_smul_const, Continuous.integral_pos_of_hasCompactSupport_nonneg_nonzero, SameRay.inv_norm_smul_eq, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, DifferentiableWithinAt.dist, TestFunction.limitCLM_apply, hasDerivWithinAt_abs, Affine.Simplex.ExcenterExists.affineSpan_faceOpposite_eq_orthRadius, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub, Affine.Simplex.ninePointCircle_restrict, 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, intervalIntegral.integral_mul_deriv_eq_deriv_mul, exists_ratio_deriv_eq_ratio_slope, EuclideanGeometry.oangle_pointReflection_left, MeasureTheory.convolution_precompR_apply, SchwartzMap.compSubConstCLM_apply, VectorFourier.fourierIntegral_iteratedFDeriv, ModularGroup.lcRow0Extend_symm_apply, TopologicalAddGroup.IsSES.pushforward_apply_apply, norm_injOn_ray_right, InformationTheory.hasDerivAt_klFun, StrictConvexOn.slope_lt_deriv, ProbabilityTheory.isPosSemidef_covarianceBilin, BoundedContinuousFunction.mem_charPoly, MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub, intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left, Orientation.kahler_comp_rightAngleRotation, Seminorm.ball_smul, BoundedContinuousFunction.charAlgHom_apply, 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, MeasureTheory.L1.setToL1_mono_left', 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, DifferentiableAt.fderiv_norm_self, EuclideanGeometry.Sphere.orthRadius_center, NumberField.Units.span_basisOfIsMaxRank, convexOn_dist, nnnorm_cfcₙ_nnreal_lt, mem_posTangentConeAt_of_segment_subset, real_linearMap_map_smul_complex, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, MeasureTheory.setToFun_smul_left', EuclideanGeometry.dist_orthogonalProjection_eq_of_two_zsmul_oangle_eq, FiniteDimensional.rclike_to_real, Complex.equivRealProdCLM_symm_apply, CStarAlgebra.nnnorm_le_iff_of_nonneg, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left', ProbabilityTheory.strong_law_ae, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', CFC.norm_star_mul_mul_self_of_nonneg, 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, SchwartzMap.smulLeftCLM_sum, UpperHalfPlane.σ_mul, PeriodPair.basis_zero, has_fderiv_at_filter_real_equiv, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, cfcₙHom_integral, MeasureTheory.setIntegral_condExpInd, Seminorm.gaugeSeminorm_ball, LipschitzWith.ae_lineDifferentiableAt, EuclideanGeometry.oangle_midpoint_rev_left, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_add, InformationTheory.leftDeriv_klFun, MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1, tendsto_integral_exp_smul_cocompact, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, MeasureTheory.integral_comp_rpow_Ioi_of_pos, Affine.Triangle.touchpoint_singleton_sbtw, curveIntegral_segment, TestFunction.postcompCLM_apply, fourierIntegral_continuousLinearMap_apply, HasFDerivWithinAt.abs_of_neg, 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, MeasureTheory.L1.setToL1_eq_setToL1SCLM, intervalIntegral.integral_deriv_comp_smul_deriv', MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, Affine.Triangle.dist_circumcenter_reflection_orthocenter, IsometryEquiv.coe_toRealAffineIsometryEquiv, MeasureTheory.Submartingale.smul_nonneg, RCLike.imLm_coe, EuclideanGeometry.Sphere.inter_orthRadius_eq_empty_of_finrank_eq_one, MeasureTheory.L1.setToL1_nonneg, 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, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, Orientation.oangle_rotation_left, StrictConvexSpace.of_pairwise_sphere_norm_ne_two, MeasureTheory.Measure.addHaar_preimage_continuousLinearMap, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_monotoneOn, ProperCone.innerDual_zero, Set.Nonempty.intrinsicInterior, Affine.Simplex.excenterWeights_reindex, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, norm_sub_le_mul_volume_of_norm_deriv_le_of_le, 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, UpperHalfPlane.norm_σ, Affine.Simplex.ExcenterExists.isTangentAt_touchpoint, MeasureTheory.L1.integral_def, Affine.Simplex.inradius_reindex, hasDerivAt_abs_rpow, MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_add, signedDist_eq_zero_of_orthogonal, EuclideanGeometry.preimage_inversion_perpBisector, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, ZSpan.volume_fundamentalDomain, StrictMonoOn.exists_slope_lt_deriv_aux, MeasureTheory.L1.SimpleFunc.setToL1S_smul_real, 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, HasDerivAt.log, Affine.Simplex.altitudeFoot_map, SchwartzMap.smulLeftCLM_fun_neg, ClosedSubmodule.mulI_sup, ZSpan.measure_fundamentalDomain, MeasureTheory.setIntegral_countable, convex_halfSpace_im_gt, dist_midpoint_midpoint_le, MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image, Differentiable.sin, MeasureTheory.integral_tendsto_of_tendsto_of_antitone, ProbabilityTheory.HasGaussianLaw.add, deriv_Gamma_nat, Convex.interior_nonempty_iff_affineSpan_eq_top, stereoInvFun_apply, Isometry.mapsTo_perpBisector, EuclideanGeometry.Cospherical.affineIndependent_of_ne, MeasureTheory.integral_tendsto_of_tendsto_of_monotone, ProbabilityTheory.isGaussian_map_equiv_iff, Distribution.delta_eq_zero_of_notMem, Affine.Simplex.circumcenter_eq_point, fourierIntegral_convergent_iff', MeasureTheory.integral_indicatorConstLp, MeasureTheory.Measure.toSphere_apply_univ, HasStrictDerivAt.sin, hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, HasStrictDerivAt.clog_real, MeasureTheory.norm_integral_le_integral_norm, Bundle.ContMDiffRiemannianMetric.symm, hasDerivAt_of_hasDerivAt_of_ne', MeasureTheory.charFunDual_eq_prod_iff, SchwartzMap.pairing_apply, fourier_comp_linearIsometry, HasDerivWithinAt.sqrt, MeasureTheory.Measure.integral_comp_smul, setIntegral_withDensity_eq_setIntegral_smul₀', hasDerivAt_qaryEntropy, StandardSubspace.IsSeparating, real_inner_div_norm_mul_norm_eq_one_iff, Affine.Simplex.altitude_restrict_eq_comap_subtype, ContDiffPointwiseHolderAt.snd, EuclideanGeometry.oangle_eq_zero_iff_wbtw, Monotone.ae_hasDerivAt, MeasureTheory.condExp_bilin_of_aestronglyMeasurable_left, MeasureTheory.integrableOn_Icc_deriv_smul_iff_of_deriv_nonpos, MeasureTheory.integrable_withDensity_iff_integrable_smul₀', AffineSubspace.signedInfDist_eq_signedDist_of_mem, MeasureTheory.L1.setToFun_eq_setToL1, one_mem_posTangentConeAt_iff_mem_closure, RealRMK.rieszMeasure_le_of_eq_one, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_tendsto, ContDiffMapSupportedIn.uniformSpace_eq_iInf, DifferentiableAt.log, HasFDerivAt.abs_of_pos, Set.OrdConnected.image_derivWithin, LinearIsometryEquiv.coe_toMeasurableEquiv, LinearIsometry.re_apply_eq_re_of_add_conj_eq, RCLike.rank_le_two, curveIntegral_segment_const, MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux1, HasFDerivAt.abs, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, MeasureTheory.L1.integral_eq_setToL1, Convex.second_derivative_within_at_symmetric, Affine.Simplex.signedInfDist_apply_self, BoxIntegral.BoxAdditiveMap.volume_apply, ProbabilityTheory.HasGaussianLaw.fun_smul, VectorFourier.iteratedFDeriv_fourierIntegral, differentiableAt_rpow_of_ne, Convex.uniformContinuous_gauge, HasStrictFDerivAt.abs_of_neg, RCLike.reCLM_coe, HasFDerivWithinAt.abs, ContDiffBump.normed_convolution_eq_right, ProbabilityTheory.gaussianReal_map_linearMap, ProbabilityTheory.iIndepFun.hasGaussianLaw_add, differentiableAt_log, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, CStarAlgebra.norm_posPart_le, HasDerivWithinAt.inner, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, DifferentiableAt.inner, 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, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, Seminorm.comp_smul, IsGreatest.nnnorm_cfcₙ_nnreal, intervalIntegral.smul_integral_comp_mul_sub, fourierInv_comp_linearIsometry, MeasureTheory.hasFDerivAt_convolution_right_with_param, MeasureTheory.integral_deriv_mul_eq_sub, ProbabilityTheory.IsGaussian.charFun_eq', deriv_neg_left_of_sign_deriv, deriv_inv_log, ProbabilityTheory.covarianceBilinDual_eq_covariance, signedDist_zero, MeasureTheory.exists_notMem_null_le_average, MeasureTheory.condExpL1CLM_indicatorConstLp, SchwartzMap.postcompCLM_apply, 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, MeasureTheory.aemeasurable_ofReal_abs_det_fderivWithin, ProbabilityTheory.covarianceBilinDual_zero, EuclideanGeometry.wbtw_of_collinear_of_dist_center_le_radius, MeasureTheory.L1.setToL1_add_left', Affine.Simplex.ExcenterExists.sOppSide_excenter_point_iff, HasStrictDerivAt.exp, Affine.Simplex.incenter_notMem_affineSpan_face, RealRMK.integral_rieszMeasure, CFC.continuous_abs, HasFDerivWithinAt.inner, Affine.Triangle.affineSpan_pair_eq_orthRadius, MeasureTheory.SimpleFunc.integral_eq_sum, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, MeasureTheory.integral_Icc_deriv_smul_of_deriv_nonneg, DifferentiableWithinAt.abs, NumberField.mixedEmbedding.convexBodySumFun_smul, HasDerivAt.cosh, continuousOn_cfc_nnreal, MeasureTheory.L1.setToL1_mono_left, differentiable_exp, NormedSpace.normalize_smul_of_pos, NumberField.mixedEmbedding.logMap_real_smul, MeasureTheory.condExpInd_disjoint_union, fderivWithin_cos, Orientation.oangle_rotation_oangle_right, ProbabilityTheory.differentiableOn_mgf, intervalIntegral.integral_comp_smul_deriv'', hasStrictDerivAt_arcosh, cfcHom_integral, intervalIntegral.integral_comp_smul_deriv, differentiableAt_cos, EuclideanGeometry.image_inversion_perpBisector, innerₗ_apply, MeasureTheory.setIntegral_condExpIndSMul, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, 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', Submodule.norm_eq_iInf_iff_real_inner_eq_zero, ProbabilityTheory.integral_id_multivariateGaussian, SchwartzMap.lineDeriv_eq_fourierMultiplierCLM, Seminorm.bound_of_continuous, ContDiff.euclidean_dist, DifferentiableOn.log, intervalIntegral.integral_comp_add_mul, IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn_real, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, MeasureTheory.setIntegral_rnDeriv_smul, StrictMonoOn.exists_deriv_lt_slope_aux, MeasurableEmbedding.withDensity_ofReal_comap_apply_eq_integral_abs_det_fderiv_mul, selfAdjoint.unitarySelfAddISMul_coe, Bundle.ContMDiffRiemannianMetric.pos, HasStrictFDerivAt.sqrt, Monotone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, Affine.Simplex.altitudeFoot_eq_point_rev, IsContMDiffRiemannianBundle.exists_contMDiff, Affine.Simplex.excenterExists_map, integral_conj, ProbabilityTheory.IsGaussianProcess.restrict, HasDerivWithinAt.arsinh, isBounded_iff_asymptoticCone_subset_singleton, ProbabilityTheory.instIsGaussianMapHSub, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, deriv2_binEntropy, HasDerivAt.exp, gauge_closure_zero, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, Convex.taylor_approx_two_segment, MeasureTheory.measure_le_setAverage_pos, MeasureTheory.integral_image_eq_integral_abs_deriv_smul, DifferentiableAt.sqrt, HasStrictFDerivAt.rpow, 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, ProbabilityTheory.IsGaussianProcess.comp_left, 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, Affine.Simplex.ExcenterExists.touchpointWeights_restrict, IsLocalMinOn.hasFDerivWithinAt_nonneg, Orientation.oangle_rotation, deriv_tan_sub_id, DifferentiableOn.inversion, mul_gauge_le_norm, EuclideanGeometry.Sphere.ncard_inter_orthRadius_eq_two_of_dist_lt_radius, leftDeriv_mul_log, spectralRadius_mem_spectrum, MeasureTheory.weightedSMul_null, stereoToFun_apply, differentiableAt_Gamma, HasDerivAt.cos, Module.Basis.addHaar_reindex, orthogonalBilin_innerₗ, hasStrictDerivAt_cosh, ConvexOn.real_univ_sSup_of_countable_affine_eq, NumberField.mixedEmbedding.mem_span_latticeBasis, ProbabilityTheory.IsGaussian.charFunDual_eq_of_forall_strongDual_eq_zero, MeasureTheory.integral_pos_iff_support_of_nonneg_ae, IsometryEquiv.map_midpoint, ProbabilityTheory.covarianceBilin_comm, Orientation.inner_rotation_pi_div_two_left, HasStrictDerivAt.cosh, 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, DifferentiableWithinAt.arctan, Orientation.kahler_neg_orientation, EuclideanGeometry.exists_of_range_subset_orthocentricSystem, hasStrictDerivAt_log, InnerProductSpace.HarmonicContOnCl.const_smul, affinity_unitBall, MonotoneOn.intervalIntegrable_slope, convex_eball, EuclideanGeometry.image_inversion_affineSubspace_of_mem, Affine.Triangle.circumsphere_eq_of_dist_of_oangle, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, SchwartzMap.compCLMOfAntilipschitz_apply, AffineIsometryEquiv.dist_pointReflection_self_real, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, differentiableOn_Gamma_Ioi, differentiableOn_mul_log, Complex.conjCLE_toLinearEquiv, MeasureTheory.setToFun_smul_left, HasDerivAt.complexToReal_fderiv', MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilin, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf', MeasureTheory.L1.setToL1_smul_left', ConvexOn.slope_le_leftDeriv, EuclideanGeometry.image_inversion_sphere_dist_center, InnerProductSpace.volume_ball, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, MeasureTheory.aemeasurable_fderivWithin, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, integrableOn_Ioi_deriv_ofReal_cpow, EuclideanGeometry.Sphere.sbtw_secondInter, StandardSubspace.IsCyclic, deriv_mulExpNegMulSq, deriv_fourierIntegral, MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero, NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDeriv_right, inner_smul_real_right, Affine.Triangle.sOppSide_affineSpan_pair_excenter_singleton_point, AffineSubspace.isConnected_setOf_wSameSide, dense_differentiableAt_norm, EuclideanGeometry.Sphere.dist_sq_eq_iff_mem_orthRadius, MeasureTheory.SignedMeasure.re_toComplexMeasure, snd_integral, CStarAlgebra.instNonnegSpectrumClass, SchwartzMap.postcompCLM_postcompCLM, Affine.Simplex.ExcenterExists.excenter_restrict, 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, LinearMap.coe_complexOfReal, AffineSubspace.isPreconnected_setOf_wOppSide, monotoneOn_deriv_descPochhammer_eval, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt, SchwartzMap.smulLeftCLM_const, MeasureTheory.integral_fintype, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left, HasDerivWithinAt.rpow, IsLocalMinOn.hasFDerivWithinAt_eq_zero, Differentiable.arctan, MeasureTheory.setToFun_indicator_const, intervalIntegral.smul_integral_comp_sub_mul, MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le, Orientation.rightAngleRotation_map', ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, 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, UpperHalfPlane.σ_num, MeasureTheory.setToFun_zero_left, MeasureTheory.lintegral_image_eq_lintegral_abs_det_fderiv_mul, Affine.Simplex.circumsphere_unique_dist_eq, swap_integral, MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2, MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux2, IsLocalMax.hasFDerivAt_eq_zero, hasDerivWithinAt_taylorWithinEval_at_Icc, ProbabilityTheory.instIsGaussianDirac, Continuous.cfc_nnreal_of_mem_nhdsSet, convex_halfSpace_im_lt, MeasureTheory.Measure.addHaar_parallelepiped, Polynomial.rootSet_derivative_subset_convexHull_rootSet, DifferentiableWithinAt.inversion, TestFunction.lineDerivCLM_add, enorm_sub_le_lintegral_derivWithin_Icc_of_contDiffOn_Icc, intervalIntegral.integral_deriv_comp_smul_deriv, EuclideanGeometry.preimage_inversion_sphere_dist_center, MeasureTheory.norm_condExpInd_apply_le, has_antideriv_at_fourier_neg, differentiableAt_log_iff, MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smul, Convex.isLittleO_alternate_sum_square, Orientation.rotation_neg_orientation_eq_neg, Matrix.instNonnegSpectrumClass, Orientation.eq_rotation_self_iff, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm, HasFDerivWithinAt.log, Orientation.areaForm'_apply, Affine.Triangle.two_zsmul_oangle_excenter_eq, MeasureTheory.hausdorffMeasure_lineMap_image, Continuous.cfcₙ_nnreal, Affine.Triangle.dist_orthocenter_reflection_circumcenter, intervalIntegral.integral_smul_measure, ContDiffPointwiseHolderAt.prodMk, StrictConcaveOn.slope_lt_of_hasDerivAt, signedDist_smul_of_pos, Distribution.mapCLM_apply, hasStrictDerivAt_const_rpow_of_neg, EuclideanGeometry.oangle_orthogonalProjection_self, Affine.Simplex.map_altitude_restrict, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, HasDerivAt.sinh, MeasureTheory.tilted_apply_eq_ofReal_integral, Affine.Simplex.exradius_reindex, Affine.Simplex.ninePointCircle_reindex, intervalIntegral.integral_deriv_smul_comp_of_deriv_nonpos, MeasureTheory.dist_convolution_le, UpperHalfPlane.coe_smul, MeasureTheory.Measure.addHaar_real_closedBall', Orientation.inner_comp_rightAngleRotation, intervalIntegral.integral_hasStrictFDerivAt, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_apply, TestFunction.lineDerivOp_eq_lineDerivCLM, 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, hasDerivWithinAt_taylor_coeff_within, UniformConvexOn.convexOn, Affine.Triangle.dist_div_sin_oangle_eq_two_mul_circumradius, SchwartzMap.fourierMultiplierCLM_apply, 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, ContinuousAt.cfcₙ_nnreal, inner_map_complex, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, BoundedContinuousFunction.probCharDual_zero, derivWithin_cos, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, Affine.Simplex.exradius_restrict, fourier_fderiv, sameRay_iff_norm_add, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, signedDist_vadd_left_swap, IsSelfAdjoint.spectrumRestricts, Seminorm.const_isBounded, ContinuousOn.cfc_nnreal_of_mem_nhdsSet, SchwartzMap.compSubConstCLM_zero, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, ProbabilityTheory.IsGaussianProcess.shift, ConvexOn.monotoneOn_deriv, HasFDerivWithinAt.norm_sq, 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, MeasureTheory.withDensityᵥ_smul_eq_withDensityᵥ_withDensity', derivWithin_const_rpow, ProbabilityTheory.HasGaussianLaw.map, norm_fderiv_norm_rpow_le, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, StrongDual.extendRCLikeₗ_apply, HasCompactSupport.enorm_le_lintegral_Ici_deriv, MeasureTheory.integral_posConvolution, hasStrictDerivAt_abs, InnerProductSpace.volume_ball_of_dim_odd, EuclideanGeometry.OrthocentricSystem.affineIndependent, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, Affine.Simplex.touchpointWeights_reindex, LipschitzOnWith.extend_lp_infty, 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, sum_mul_eq_sub_integral_mul₀', MeasureTheory.condExpIndL1_smul, deriv_rpow_const, ProbabilityTheory.isGaussian_map, instIsZLatticeRealSpan, Affine.Simplex.orthogonalProjection_circumcenter, instFiniteDimensionalRealComplex, hasDerivAt_cos, Differentiable.sigmoid, AffineSubspace.signedInfDist_eq_const_of_mem, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_increments, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, MeasureTheory.weightedSMul_add_measure, MeasureTheory.Measure.NullMeasurableSet.const_smul, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, HasFDerivAt.abs_of_neg, DifferentiableOn.norm_sq, Affine.Triangle.orthocenter_replace_orthocenter_eq_point, ContDiffMapSupportedIn.locallyConvexSpace, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, Orientation.oangle_rotation_oangle_left, smul_unitBall_of_pos, MeasureTheory.L1.SimpleFunc.setToL1S_indicatorConst, Differentiable.norm_rpow, 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, Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter, circleAverage_def, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_eval, RCLike.sqrt_map, derivWithin_exp, hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, HasStrictFDerivAt.arctan, 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, deriv_neg_right_of_sign_deriv, 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, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg, ContDiffPointwiseHolderAt.continuousLinearMap_comp, derivWithin_rpow_const, ContinuousWithinAt.cfcₙ_nnreal, EuclideanGeometry.oangle_pointReflection_right, Polynomial.aeval_conj, DifferentiableOn.sinh, EuclideanGeometry.Sphere.sOppSide_faceOpposite_secondInter_of_mem_interior_faceOpposite, MeasureTheory.setAverage_eq, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, MeasureTheory.convolution_mono_right_of_nonneg, 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.iIndepFun.charFunDual_map_sum_eq_prod, ProbabilityTheory.covarianceBilin_self_nonneg, Orientation.rightAngleRotation_rightAngleRotation, DifferentiableOn.abs, taylorWithinEval_succ, HasDerivAt.norm_sq, GromovHausdorff.ghDist_eq_hausdorffDist, ProbabilityTheory.integral_linearMap_gaussianReal, conformalAt_iff_isConformalMap_fderiv, complexOfReal_deriv, EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eq, MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_norm, dimH_of_nonempty_interior, CFC.continuousOn_nnrpow, Polynomial.hermite_eq_deriv_gaussian', EuclideanGeometry.Sphere.ncard_inter_orthRadius_le_two, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', BoundedContinuousFunction.tendsto_integral_of_forall_integral_le_liminf_integral, Orientation.oangle_sign_smul_add_smul_smul_add_smul, ProbabilityTheory.indepFun_iff_charFunDual_prod', fderiv_exp, Affine.Simplex.direction_mongePlane, Differentiable.log, intervalIntegral.derivWithin_integral_right, MeasureTheory.Measure.integral_comp_mul_left, RCLike.wInner_const_left, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, MeasureTheory.log_rnDeriv_tilted_left_self, ProperCone.innerDual_union, CompactlySupportedContinuousMap.integralLinearMap_apply, Affine.Simplex.dist_point_centroid, Orientation.areaForm_comp_linearIsometryEquiv, 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, spectralRadius_mem_spectrum_or, deriv_exp, Orientation.oangle_sign_smul_sub_left, SchwartzMap.hasFDerivAt, QuasispectrumRestricts.real_iff, MeasureTheory.memL1_smul_of_L1_withDensity, ProbabilityTheory.HasGaussianLaw.fun_add, MeasureTheory.Measure.toSphere_apply', TemperedDistribution.instLineDerivSMulReal, deriv_sinh, Function.HasTemperateGrowth.pow, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_radius_nonneg_and_vsub_mem_and_norm_sq, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitoneOn, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, SchwartzMap.evalCLM_apply_apply, StrictConcaveOn.derivWithin_lt_slope, Affine.Simplex.altitudeFoot_mem_altitude, HasStrictDerivAt.log, 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, EuclideanGeometry.Sphere.sOppSide_faceOpposite_secondInter_of_mem_interior, DifferentiableAt.cosh, isBounded_convexHull, Filter.Tendsto.cfcₙ_nnreal, TopologicalGroup.IsSES.integrate_apply, tendsto_integral_exp_smul_cocompact_of_inner_product, Affine.Simplex.circumcenter_restrict, StrictConvexOn.slope_lt_derivWithin, MeasureTheory.integral_biUnion_eq_sum_powerset, hasDerivAt_rpow_const, EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_affineIndependent, Orientation.oangle_rotation_right, Affine.Simplex.height_restrict, Affine.Triangle.affineSpan_orthocenter_point_le_altitude, Antitone.cauchySeq_series_mul_of_tendsto_zero_of_bounded, ConvexOn.slope_le_of_hasDerivWithinAt, differentiableAt_norm_smul, fderivWithin.log, ProbabilityTheory.HasGaussianLaw.fun_sub, circleAverage_eq_integral_add, iter_deriv_exp, HasFDerivWithinAt.sinh, intervalIntegral.inv_smul_integral_comp_div_sub, Module.Basis.prod_parallelepiped, differentiable_iteratedDeriv_cos, EuclideanGeometry.Cospherical.affineIndependent, Differentiable.norm_sq, MeasureTheory.integral_eq_lintegral_pos_part_sub_lintegral_neg_part, ProbabilityTheory.IsGaussian.memLp_dual, LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re, MeasureTheory.exists_integral_le, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, Module.Dual.extendRCLikeₗ_apply, isConnected_setOf_sameRay_and_ne_zero, TestFunction.lineDerivCLM_eq_fderivCLM, TopologicalAddGroup.IsSES.integrate_mono, isTheta_deriv_rpow_const_atTop, ProbabilityTheory.covarianceBilinDual_self_nonneg, conformalFactorAt_inner_eq_mul_inner', NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, HasFDerivAt.log, HasDerivWithinAt.arctan, convexHull_sphere_eq_closedBall, ContDiffPointwiseHolderAt.clm_apply, ProbabilityTheory.setIntegral_tilted_mul_eq_cgf', MeasureTheory.charFunDual_map_const_add, EuclideanGeometry.Sphere.IsTangentAt_of_angle_eq_pi_div_two, MeasureTheory.L1.SimpleFunc.setToL1S_const, SmoothPartitionOfUnity.finsum_smul_mem_convex, MeasureTheory.charFunDual_map_add_const, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, Complex.conjCLE_coe_toLinearMap, Orientation.rotation_trans, KuratowskiEmbedding.embeddingOfSubset_isometry, DifferentiableOn.cos, signedDist_lineMap_left, TestFunction.lineDerivCLM_apply, ProbabilityTheory.covarianceBilin_real_self, ContinuousOn.cfc_nnreal, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, nnnorm_cfcₙ_nnreal_lt_iff, 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, EuclideanGeometry.Sphere.dist_center_midpoint_lt_radius, ConvexOn.convex_re_epigraph, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, RCLike.realLinearIsometryEquiv_symm_apply, Convex.exists_subset_interior_convexHull_finset_of_isCompact, convex_ball, real_inner_smul_right, EuclideanGeometry.Sphere.mem_of_mem_tangentsFrom, scalarSMulCLE_apply, ContinuousLinearMap.hasTemperateGrowth, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, Orientation.oangle_sub_right_smul_rotation_pi_div_two, ConcaveOn.le_slope_of_hasDerivWithinAt, 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, MeasureTheory.L1.tendsto_setToL1, eventually_norm_symmL_trivializationAt_self_comp_lt, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', MeasureTheory.condExpL1CLM_indicatorConst, nnnorm_cfc_nnreal_lt, SchwartzMap.fourierMultiplierCLM_ofReal, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, NormedSpace.normalize_smul_of_neg, MeasureTheory.L1.nnnorm_Integral_le_one, HasFDerivAt.exp, ContDiffWithinAt.laplacianWithin_CLM_comp_left, hasDerivAt_circleMap, hasFDerivWithinAt_closure_of_tendsto_fderiv, EuclideanGeometry.oangle_homothety, MeasureTheory.ProbabilityMeasure.continuous_integral_boundedContinuousFunction, ClosedSubmodule.mulI_inf, RCLike.ofReal_alg, MeasureTheory.integral_fun_norm_addHaar, Affine.Simplex.ExcenterExists.sOppSide_point_excenter_iff, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, MeasureTheory.setIntegral_ge_of_const_le, MeasureTheory.L1.integral_eq_norm_posPart_sub, signedDist_anticomm, IsOpen.measure_eq_biSup_integral_continuous, SchwartzMap.smulLeftCLM_add, MeasureTheory.weightedSMul_smul, MeasureTheory.integral_continuousLinearMap_prod, intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae, segment_subset_closedBall_left, CFC.rpow_le_rpow, 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, integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable_aux2, ContinuousLinearMap.norm_extendTo𝕜'_bound, sum_mem_ball_of_strictConvexSpace, differentiableAt_arctan, ContinuousMultilinearMap.integral_apply, eq_lineMap_of_dist_eq_mul_of_dist_eq_mul, ProbabilityTheory.IsGaussianProcess.comp_right, ProbabilityTheory.HasGaussianLaw.fun_neg, LinearIsometryEquiv.contDiffPointwiseHolderAt_left_comp, differentiableWithinAt_abs_neg, sum_mul_eq_sub_integral_mul₁, MeasureTheory.integral_comp, MeasureTheory.integral_pos_iff_support_of_nonneg, MeasureTheory.L1.setToL1_unique, RCLike.complexLinearIsometryEquiv_symm_apply, differentiableOn_negMulLog, MeasureTheory.average_union_mem_segment, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, HasDerivAt.arsinh, hasDerivAt_fourier, complexOfReal_fderivWithin, DiffContOnCl.circleAverage_poissonKernel_smul, EuclideanGeometry.Sphere.direction_orthRadius_le_iff, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, intervalIntegral.integral_deriv_mul_eq_sub, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, 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, IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, EuclideanGeometry.Sphere.IsTangentAt.mem_and_mem_iff_eq, homeomorphSphereProd_symm_apply_coe, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, EuclideanGeometry.collinear_iff_eq_or_eq_or_sin_eq_zero, MeasureTheory.integrable_tilted_iff, TopologicalGroup.IsSES.pushforward_apply_apply, isIntegralCurveOn_comp_mul_ne_zero, RCLike.wInner_const_right, ProbabilityTheory.covarianceOperator_inner, ProbabilityTheory.HasGaussianLaw.sub, EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one, Affine.Simplex.incenter_restrict, EuclideanGeometry.Sphere.IsDiameter.sbtw, TestFunction.instLineDerivLeftSMulRealTopENat, mellin_eq_fourierIntegral, Continuous.cfc_nnreal, hasStrictDerivAt_abs_neg, Orientation.inner_rightAngleRotation_left, MeasureTheory.AEStronglyMeasurable.fourierPowSMulRight, MeasureTheory.setIntegral_nonpos, AffineSubspace.mem_perpBisector_iff_inner_eq_inner, extremePoints_closedBall_subset_sphere, ProbabilityTheory.iIndepFun_iff_charFunDual_pi, InnerProductGeometry.angle_eq_angle_add_angle_iff, intervalIntegral.deriv_integral_of_tendsto_ae_right, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DifferentiableWithinAt.abs_of_neg, nnnorm_cfc_nnreal_le_iff, Affine.Triangle.oangle_excenter_singleton_eq, DifferentiableWithinAt.cosh, EuclideanGeometry.Sphere.IsTangent.infDist_eq_radius, TestFunction.monoCLM_eq_of_scalars, HasFDerivAt.inner, HasDerivAt.rpow, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', intervalIntegral.integral_comp_smul_deriv', MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, MeasureTheory.integrable_withDensity_iff_integrable_smul, Function.HasTemperateGrowth.fun_mul, MeasureTheory.condExpL1CLM_lpMeas, Module.Basis.coe_parallelepiped, fderivWithin_exp, ProbabilityTheory.HasGaussianLaw.map_fun, 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, ProbabilityTheory.integral_strongDual_stdGaussian, homeomorphUnitSphereProd_apply_fst_coe, LipschitzWith.ae_differentiableAt, Orientation.kahler_apply_self, MeasureTheory.L1.setToL1_apply_coeToLp, MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul, Affine.Simplex.dist_circumcenter_eq_circumradius', differentiableWithinAt_arcsin_Iic, SchwartzMap.norm_toBoundedContinuousFunction_le, 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, StrongDual.extendRCLikeₗ_symm_apply, HasStrictDerivAt.complexToReal_fderiv', Convex.curveIntegral_segment_add_eq_of_hasFDerivWithinAt_symmetric, StrictConcaveOn.strictAntiOn_deriv, Orientation.inner_mul_areaForm_sub', hasFDerivAt_polarCoord_symm, EuclideanGeometry.exists_dist_eq_circumradius_of_subset_insert_orthocenter, fourierIntegral_gaussian_innerProductSpace, ConcaveOn.slope_le_derivWithin, EuclideanGeometry.Sphere.IsTangentAt.le_orthRadius, IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero, HasFDerivWithinAt.rpow_const, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, ZSpan.isAddFundamentalDomain, MeasureTheory.integral_continuousLinearMap_prod', 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, EuclideanGeometry.measurePreserving_vaddConst, MeasureTheory.uniformIntegrable_average, ConvexOn.monotoneOn_leftDeriv, UniformConvexSpace.toStrictConvexSpace, EuclideanGeometry.Concyclic.Coplanar, MeasureTheory.L1.setToL1_congr_left', EuclideanGeometry.Sphere.mem_tangentSet_of_mem_tangentsFrom, Affine.Simplex.ExcenterExists.isTangentAt_exsphere_iff_eq_touchpoint, linear_isometry_complex_aux, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, selfAdjoint.star_coe_unitarySelfAddISMul, Orientation.kahler_rotation_left', MeasureTheory.Measure.addHaar_affineSubspace, differentiable_sin, MeasureTheory.setIntegral_rnDeriv_smul', MeasureTheory.integrableOn_Icc_deriv_smul_iff_of_deriv_nonneg, UpperHalfPlane.σ_ofReal, ContDiff.fourierPowSMulRight, Affine.Simplex.ExcenterExists.excenter_notMem_affineSpan_pair, Affine.Simplex.pointsWithCircumcenter_point, convex_halfSpace_im_ge, intervalIntegral.smul_integral_comp_mul_left, DiffContOnCl.circleAverage_re_herglotzRieszKernel_smul, Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent, derivWithin_sin, HasFDerivAt.sinh, rotation_trans, CStarAlgebra.rpow_neg_one_le_rpow_neg_one, eventually_norm_symmL_trivializationAt_comp_self_lt, eulerMascheroniConstant_eq_neg_deriv, MeasureTheory.SimpleFunc.setToSimpleFunc_indicator, not_sameRay_iff_abs_lt_norm_sub, deriv_const_rpow, not_differentiableAt_inv_log_zero, Affine.Simplex.inradius_restrict, 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, ContDiffWithinAt.laplacianWithin_CLM_comp_left_nhds, 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.image_derivWithin, convex_halfSpace_re_lt, Affine.Simplex.altitude_reindex, ModelWithCorners.convex_range, NNReal.spectralRadius_mem_spectrum, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, SchwartzMap.compSubConstCLM_comp, 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, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDeriv_right, 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, intervalIntegral.derivWithin_integral_of_tendsto_ae_right, differentiableAt_tan, differentiable_cosh, NumberField.mixedEmbedding.negAt_symm, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, EuclideanGeometry.sbtw_of_collinear_of_dist_center_lt_radius, DifferentiableAt.rpow, MeasureTheory.setLIntegral_tilted, VectorFourier.contDiff_fourierIntegral, MeasureTheory.L1.setToL1_congr_left, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_add, ConcaveOn.leftDeriv_le_slope, DiffContOnCl.circleAverage_re_herglotzRieszKernel_smul', sameRay_iff_inv_norm_smul_eq, ProbabilityTheory.variance_dual_stdGaussian, RCLike.instStarModuleReal, Convex.dimH_eq_finrank_vectorSpan, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, BoxIntegral.integral_smul, MeasureTheory.L1.setToL1_smul, MeasureTheory.integral_le_measure, ProbabilityTheory.integral_tilted_mul_eq_mgf, ConcaveOn.derivWithin_le_slope, MeasureTheory.integral_simpleFunc_larger_space, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, ContDiffBump.apply, Orientation.oangle_sign_add_smul_left, HasFDerivAt.lim_real, upperHemicontinuous_spectrum_nnreal, signedDist_vsub_self_rev, Orientation.neg_rotation_pi_div_two, HasFDerivAt.rpow_const, ProperCone.relative_hyperplane_separation, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, Orientation.linearIsometryEquiv_comp_rightAngleRotation, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg', NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, norm_fderiv_norm, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, MeasureTheory.ofReal_integral_norm_eq_lintegral_enorm, StrongDual.extendRCLikeₗᵢ_apply, UniformConcaveOn.strictConcaveOn, HasDerivAt.ofReal_comp, ContinuousOn.cfcₙ_nnreal', Differentiable.inner, DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, signedDist_linear_apply, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, ProbabilityTheory.IsGaussianProcess.of_isGaussianProcess, Orientation.rotation_eq_matrix_toLin, MeasureTheory.AEStronglyMeasurable.fourierSMulRight, hasDerivAt_log, intervalIntegral.integral_const_of_cdf, HasStrictFDerivAt.const_rpow, Orientation.inner_rightAngleRotation_swap, intervalIntegral.integral_const', MeasureTheory.condExp_smul_of_aestronglyMeasurable_left, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, ConcaveOn.deriv_le_slope, MeasureTheory.ofReal_setIntegral_one, rotationOf_coe, NumberField.mixedEmbedding.volume_negAt_plusPart, Orientation.oangle_sub_left_smul_rotation_pi_div_two, tangentConeAt_real_subset_isRCLikeNormedField, HasFDerivWithinAt.abs_of_pos, ProperCone.innerDual_insert, Module.Basis.parallelepiped_eq_map, integral_withDensity_eq_integral_toReal_smul, ZLattice.covolume.tendsto_card_div_pow', DifferentiableAt.differentiableAt_norm_of_smul, SchwartzMap.hasDerivAt, MeasureTheory.toReal_laverage, EuclideanGeometry.Sphere.inter_orthRadius_eq_singleton_iff, MeasureTheory.integrableOn_image_iff_integrableOn_deriv_smul_of_antitoneOn, Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero, HasStrictFDerivAt.cos, Affine.Simplex.incenter_eq_affineCombination, signedDist_self, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left', Unitization.nnreal_cfcₙ_eq_cfc_inr, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_prodMk, 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, deriv_cos, MeasureTheory.setIntegral_indicatorConstLp, InnerProductSpace.HarmonicContOnCl.fun_const_smul, signedDist_vsub_self, DifferentiableAt.arsinh, EuclideanGeometry.inversion_mul, MeasureTheory.SignedMeasure.rnDeriv_smul, ProbabilityTheory.iIndepFun.hasGaussianLaw, ProbabilityTheory.isGaussian_conv, Affine.Simplex.exists_forall_signedInfDist_eq_iff_eq_incenter, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_continuousOn, MeasureTheory.hausdorffMeasure_smul_right_image, signedDist_smul, MeasureTheory.tendsto_integral_smul_of_tendsto_average_norm_sub, HasStrictFDerivAt.hasStrictDerivAt_norm_smul_pos, CStarAlgebra.norm_le_iff_le_algebraMap, HasFDerivWithinAt.arsinh, MeasureTheory.rnDeriv_tilted_left, Orientation.oangle_add_right_smul_rotation_pi_div_two, not_sameRay_iff_norm_add_lt, TestFunction.mkCLM_apply, hasStrictDerivAt_arctan, LipschitzOnWith.coordinate, Orientation.inner_smul_rotation_pi_div_two_left, BoxIntegral.hasIntegral_const, ZLattice.volume_image_eq_volume_div_covolume, StrictConcaveOn.strictAntiOn_derivWithin, MeasureTheory.Supermartingale.smul_nonpos, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, map_linearMap_volume_pi_eq_smul_volume_pi, TestFunction.fderivCLM_eq_of_scalars, 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, ProbabilityTheory.integral_poissonMeasure, MeasureTheory.integrable_continuousLinearMap_prod', MeasureTheory.Submartingale.sum_smul_sub', NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, AffineSubspace.mem_perpBisector_iff_dist_eq', Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, MeasureTheory.Measure.toSphereBallBound_mul_measureReal_unitBall_le_toSphere_ball, TestFunction.lineDerivCLM_eq_of_scalars, AffineSubspace.isPreconnected_setOf_wSameSide, intervalIntegral.differentiable_integral_of_continuous, intervalIntegral.smul_integral_comp_mul_add, IsIntegralCurveAt.comp_mul_ne_zero, 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, ConcaveOn.slope_le_of_hasDerivWithinAt, hasDerivAt_mulExpNegMulSq, MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, fourierIntegral_fderiv, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, eventually_norm_symmL_trivializationAt_lt, cfcₙHom_real_eq_restrict, 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, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, tendsto_deriv_mul_log_atTop, HasFDerivAt.sin, ProbabilityTheory.HasGaussianLaw.map_equiv, Orientation.abs_areaForm_of_orthogonal, Isometry.affineIsometryOfStrictConvexSpace_apply, ProbabilityTheory.stdGaussian_map, LipschitzOnWith.ae_differentiableWithinAt_real, upperHemicontinuous_quasispectrum_nnreal, innerₗ_apply_apply, ProbabilityTheory.HasGaussianLaw.prodMk, IsIntegralCurveAt.hasDerivAt, MeasureTheory.integral_eq_zero_iff_of_nonneg_ae, SchwartzMap.norm_toLp_top_le, MeasureTheory.integral_rnDeriv_smul, StrictConvexOn.lt_slope_of_hasDerivWithinAt, 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, StrictConvexSpace.extremePoints_closedBall_eq_sphere, 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, SchwartzMap.smulLeftCLM_neg, intervalIntegral.inv_smul_integral_comp_div, EuclideanGeometry.Sphere.center_mem_orthRadius_iff, Complex.conjCLE_enorm, intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonpos, 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, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, intervalIntegral.integral_derivWithin_Icc_of_contDiffOn_Icc, CFC.nnrpow_le_nnrpow, MeasureTheory.SimpleFunc.setToSimpleFunc_zero, ContDiffMapSupportedIn.seminorm_apply, ProbabilityTheory.iIndepFun.hasGaussianLaw_sub, convexHull_ediam, HasDerivWithinAt.limsup_slope_le', 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, TopologicalAddGroup.IsSES.pushforward_def, RCLike.reLm_coe, nnnorm_fderiv_norm_rpow_le, differentiableAt_abs_pos, Differentiable.exp, ContDiffMapSupportedIn.structureMapCLM_top_apply, inner_smul_real_left, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, EuclideanGeometry.cospherical_iff_exists_mem_of_complete, Affine.Triangle.orthocenter_mem_altitude, fst_integral, hasDerivAt_Gamma_one_half, CStarAlgebra.star_mul_le_algebraMap_norm_sq, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq, fderiv_norm_smul, Affine.Simplex.excenterWeights_restrict, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, MeasureTheory.SimpleFunc.integral_eq_sum_of_subset, HasFDerivAt.hasFDerivAt_norm_smul, apply_le_nnnorm_cfc_nnreal, HasFDerivWithinAt.curveIntegral_segment_source, Affine.Triangle.eulerPoint_eq_midpoint, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.weightedSMul_union', MeasureTheory.Measure.addHaar_closedBall_mul_of_pos, ProbabilityTheory.charFunDual_map_sum_pi_eq_prod, integral_coe_re_add_coe_im, hahnEmbedding_isOrderedModule_rat, MeasureTheory.setIntegral_gt_gt, ConvexOn.derivWithin_le_slope, MeasureTheory.setIntegral_nonneg_ae, HasFDerivWithinAt.sqrt, MeasureTheory.setIntegral_nonpos_of_ae, Affine.Simplex.sign_signedInfDist_touchpoint_empty, ContDiffMapSupportedIn.structureMapLM_top_apply, 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, fderivWithin_sqrt, Complex.conjCLE_apply, not_DifferentiableAt_log_mul_zero, MeasureTheory.integral_image_eq_integral_deriv_smul_of_antitone, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, IsOpen.exists_between_affineIndependent_span_eq_top, 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, fderiv_sinh, 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, cfcL_integral, MeasureTheory.L1.norm_setToL1_le_mul_norm', Affine.Simplex.point_eq_affineCombination_of_pointsWithCircumcenter, hasDerivAt_Gamma_one, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, 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, Differentiable.dist, Convex.lipschitz_gauge, 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, Differentiable.sqrt, RightDerivMeasurableAux.differentiable_set_eq_D, ProbabilityTheory.HasGaussianLaw.fun_sum, BoxIntegral.integralSum_smul, taylor_integral_remainder_aux, MeasureTheory.mul_meas_ge_le_integral_of_nonneg, ProbabilityTheory.variance_dual_prod', HasFDerivWithinAt.arctan, isIntegralCurve_comp_mul_ne_zero, 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, affineSpan_eq_top_of_nonempty_interior, ProbabilityTheory.isGaussian_iff_charFunDual_eq, ProbabilityTheory.iteratedDeriv_two_cgf, ContinuousOn.integral_sub_linear_isLittleO_ae, DifferentiableWithinAt.rpow_const, EuclideanGeometry.Sphere.inter_orthRadius_eq_of_dist_le_radius_of_norm_eq_one, measurableSet_of_differentiableWithinAt_Ioi, HasFDerivWithinAt.rpow, differentiable_iteratedDeriv_sin, ProbabilityTheory.deriv_mgf_zero, EuclideanGeometry.OrthocentricSystem.eq_insert_orthocenter, SchwartzMap.instLocallyConvexSpace, NormedAlgebra.Real.nonempty_algEquiv_or, Affine.Simplex.incenter_mem_affineSpan_range, Orientation.oangle_smul_smul_self_of_nonneg, MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, ProbabilityTheory.isGaussian_of_charFunDual_eq, deriv_sigmoid, exists_ratio_deriv_eq_ratio_slope', 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, SchwartzMap.compCLM_apply, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, TemperedDistribution.fourierMultiplierCLM_apply_apply, intervalIntegral.fderivWithin_integral_of_tendsto_ae, 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', intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivAt, ProbabilityTheory.HasGaussianLaw.map_equiv_fun, integrableOn_peak_smul_of_integrableOn_of_tendsto, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_measure, 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, DifferentiableOn.arctan, Affine.Simplex.sum_inv_height_sq_smul_vsub_eq_zero, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, 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, DifferentiableOn.cosh, Affine.Simplex.incenter_notMem_affineSpan_pair, intervalIntegral.integral_hasFDerivWithinAt, Polynomial.aeval_ofReal, TopologicalGroup.IsSES.pushforward_mono, MeasureTheory.charFunDual_prod', LinearIsometryEquiv.toMeasurableEquiv_symm, HasDerivWithinAt.rpow_const, ProbabilityTheory.covarianceBilin_apply, Affine.Simplex.mongePoint_restrict, BoxIntegral.integralSum_sub_partitions, HasFDerivAt.cos, AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero, DifferentiableWithinAt.arsinh, StrictConvexSpace.sphere_subset_extremePoints_closedBall, MeasureTheory.L1.norm_setToL1_le', TestFunction.fderivCLM_apply_of_gt, 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, MeasureTheory.restrict_map_withDensity_abs_det_fderiv_eq_addHaar, dist_div_norm_sq_smul, stronglyMeasurable_derivWithin_Ici, exists_deriv_eq_slope', MeasureTheory.exists_le_setAverage, IsSelfAdjoint.map_spectrum_real, posTangentConeAt_mono, hasDerivAt_ofReal_cpow_const, CFC.norm_abs, Affine.Simplex.eulerPoint_restrict, 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, EuclideanGeometry.Sphere.inter_orthRadius_eq_empty_of_radius_lt_dist, 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, ProbabilityTheory.IsGaussianProcess.smul, EuclideanGeometry.inversion_mem_perpBisector_inversion_iff, ProbabilityTheory.HasGaussianLaw.charFunDual_map_eq_fun, 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, Affine.Simplex.ExcenterExists.touchpoint_restrict, Orientation.two_zsmul_oangle_smul_right_self, Affine.Triangle.sOppSide_affineSpan_pair_point_excenter_singleton, HasFDerivAt.curveIntegral_segment_source', AffineSubspace.signedInfDist_singleton, Seminorm.bound_of_shell_sup, EuclideanGeometry.angle_midpoint_eq_pi, intervalIntegral.integral_deriv_smul_deriv_comp, Differentiable.inversion, Orientation.coe_basisRightAngleRotation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, HasFDerivAt.const_rpow, MeasureTheory.setIntegral_one_eq_measureReal, SchwartzMap.fderivCLM_fourier_eq, intrinsicInterior_nonempty, CStarModule.inner_mul_inner_swap_le, Bundle.ContinuousRiemannianMetric.pos, ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt, SchwartzMap.derivCLM_apply, EuclideanGeometry.Sphere.orthRadius_map, RCLike.map_nonneg_iff, Convex.image_deriv, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, MeasureTheory.setIntegral_toReal_rnDeriv_mul', deriv_cos, IsCoercive.continuousLinearEquivOfBilin_apply, Affine.Simplex.excenterWeightsUnnorm_restrict, 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, IsConvexMetricSpace.of_convex, Affine.Simplex.faceOppositeCentroid_mem_ninePointCircle, deriv2_qaryEntropy, differentiableAt_exp, Affine.Simplex.mongePoint_mem_affineSpan, hasStrictDerivAt_arcsin, ConvexOn.slope_le_of_hasDerivAt, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, CFC.monotone_sqrt, NumberField.mixedEmbedding.logMap_real, NumberField.mixedEmbedding.commMap_apply_of_isReal, ProbabilityTheory.charFunDual_map_add_prod_eq_mul, ZSpan.fundamentalDomain_pi_basisFun, ConvexBody.iInter_smul_eq_self, LipschitzWith.ae_differentiableAt_of_real, ProperCone.mem_innerDual, ZLattice.isAddFundamentalDomain, EuclideanGeometry.Sphere.orthRadius_le_orthRadius_iff, Seminorm.finset_sup_smul, Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real, quasispectrum.isCompact_nnreal, Bundle.RiemannianMetric.pos, CStarAlgebra.instNonnegSpectrumClass', CStarAlgebra.conjugate_le_norm_smul, IsometryEquiv.coeFn_toRealAffineIsometryEquiv, MeasureTheory.abs_integral_le_integral_abs, ContDiffMapSupportedIn.fderivLM_apply, 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', HasFDerivAt.arsinh, AffineSubspace.isConnected_setOf_sOppSide, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.L1.setToL1_add_left, MeasureTheory.Submartingale.sum_smul_sub, differentiable_iteratedDeriv_cosh, hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, DifferentiableAt.abs, sub_mem_posTangentConeAt_of_segment_subset, EuclideanGeometry.collinear_iff_eq_or_eq_or_angle_eq_zero_or_angle_eq_pi, Complex.log_eq_integral, Complex.equivRealProdCLM_symm_apply_re, intervalIntegral.integral_comp_smul_deriv''', Affine.Simplex.incenter_reindex, MeasureTheory.ProbabilityMeasure.continuous_iff_forall_continuous_integral, IsSelfAdjoint.linearly_dependent_of_isLocalExtrOn, AffineSubspace.mem_perpBisector_iff_dist_eq, MeasureTheory.integrable_withDensity_iff_integrable_coe_smul₀, MeasureTheory.charFunDual_eq_pi_iff', Besicovitch.card_le_of_separated, ProbabilityTheory.HasGaussianLaw.snd, DifferentiableAt.cos, LinearIsometry.im_apply_eq_im, MeasureTheory.integral_countable, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_sum, Filter.Tendsto.cfc_nnreal, EuclideanGeometry.Sphere.mem_inter_orthRadius_iff_vsub_mem_and_norm_sq, 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, Convex.lipschitzWith_gauge, norm_cfcₙ_one_sub_one_add_inv_lt_one, NumberField.mixedEmbedding.latticeBasis_repr_apply, Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, continuousOn_cfcₙ_nnreal, DifferentiableWithinAt.norm_sq, fourierIntegral_continuousLinearMap_apply', BoxIntegral.Integrable.smul, ConvexOn.deriv_le_slope, EuclideanGeometry.oangle_self_orthogonalProjection, MeasureTheory.L1.SimpleFunc.norm_eq_integral, signedDist_right_lineMap, ConvexOn.rightDeriv_le_slope, ProbabilityTheory.uncenteredCovarianceBilin_zero, tendsto_integral_comp_smul_smul_of_integrable, MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter, MeasureTheory.ofReal_setIntegral_one_of_measure_ne_top, ContDiffMapSupportedIn.continuous_iff_comp_order_le, differentiable_fourierChar, MeasureTheory.llr_tilted_left, hasFDerivAt_integral_of_dominated_of_fderiv_le, TopologicalAddGroup.IsSES.integral_inducedMeasure, ProbabilityTheory.setIntegral_tilted_mul_eq_mgf, EuclideanGeometry.Sphere.inter_orthRadius_eq_empty_iff, EuclideanGeometry.Sphere.mem_tangentSet_iff, VectorFourier.fourierPowSMulRight_apply, OrthonormalBasis.norm_dual, DifferentiableOn.sin, 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, DifferentiableOn.dist, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, deriv_rpow_const', StrictConcaveOn.lt_slope_of_hasDerivWithinAt, spectrum.isCompact_nnreal, MeasureTheory.integral_mul_le_Lp_mul_Lq_of_nonneg, NumberField.mixedEmbedding.normAtPlace_negAt, MeasureTheory.aemeasurable_toNNReal_abs_det_fderivWithin, differentiableAt_arcosh, MeasureTheory.L1.norm_setToL1_le_mul_norm, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, Module.Basis.parallelepiped_map, IsLocalMaxOn.fderivWithin_eq_zero, AlternatingMap.measure_def, Seminorm.bound_of_shell_smul, 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, ProbabilityTheory.IndepFun.hasGaussianLaw, intervalIntegral.smul_integral_comp_mul_right, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left', MeasureTheory.withDensityᵥ_smul_eq_withDensityᵥ_withDensity, Complex.sameRay_iff, SchwartzMap.lineDerivOp_apply_eq_fderiv, intervalIntegral.integral_comp_div_add, MeasureTheory.integral_bilinear_hasDerivAt_right_eq_sub, hasStrictDerivAt_sqrt, EuclideanGeometry.Sphere.isTangentAt_center_iff, conformalFactorAt_inner_eq_mul_inner, Orientation.areaForm_map_complex, BoxIntegral.integral_const, NumberField.mixedEmbedding.normAtPlace_smul, DifferentiableOn.rpow_const, TestFunction.lineDerivCLM_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, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, MeasureTheory.exists_notMem_null_integral_le, Orientation.inner_rightAngleRotation_right, HasFDerivAt.hasFDerivAt_norm_smul_neg, hasDerivAt_exp, fderiv_sqrt, ModularForm.prod_fintype_slash, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, MeasureTheory.setIntegral_pos_iff_support_of_nonneg_ae, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_fun_sub, EuclideanGeometry.Sphere.orthRadius_injective, asymptoticCone_subset_singleton_of_bounded, ProperCone.hyperplane_separation_of_notMem, MeasureTheory.charFun_map_smul_comp, Complex.sameRay_iff_arg_div_eq_zero, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Orientation.volumeForm_apply_le, nonempty_algEquiv_or, ProbabilityTheory.stdGaussian_eq_map_pi_orthonormalBasis, Complex.starConvex_slitPlane, Matrix.IsHermitian.eigenvalues_mem_spectrum_real, MeasureTheory.norm_condExpInd_le, TestFunction.monoCLM_apply, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ProbabilityTheory.iIndepFun.hasGaussianLaw_sum, ContDiffAt.exists_eventually_eq_hasDerivAt, CStarAlgebra.norm_negPart_le, TopologicalAddGroup.IsSES.pushforward_mono, NumberField.mixedEmbedding.negAt_apply_norm_isReal, MeasureTheory.integrable_comp_smul_iff, MeasureTheory.Measure.addHaar_preimage_linearEquiv, deriv_inner_apply, 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, SameRay.norm_smul_eq, IsLocalMin.hasFDerivAt_eq_zero, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, deriv_fourierChar, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, iteratedFDeriv_fourierIntegral, intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonneg, HasStrictDerivAt.sinh, 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, norm_sub_le_mul_volume_of_norm_fderiv_le, EuclideanGeometry.Sphere.IsTangentAt_iff_angle_eq_pi_div_two, ZLattice.covolume_comap, differentiableAt_negMulLog, StrongConvexOn.strictConvexOn, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Orientation.inner_rightAngleRotationAux₁_left, MeasureTheory.integral_indicator_const, MeasureTheory.L1.setToL1_simpleFunc_indicatorConst, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, ProbabilityTheory.iIndepFun.charFunDual_map_fun_finset_sum_eq_prod, MeasureTheory.exists_le_integral, HasDerivAt.inner, hasDerivAt_ofReal_cpow_const', MeasureTheory.lintegral_abs_det_fderiv_eq_addHaar_image₀, LineDeriv.tensorLineDerivTwo_canonicalCovariantTensor_eq_sum, Orientation.areaForm_apply_self, intervalIntegral.integral_deriv_smul_comp_of_deriv_nonneg, ModularForm.slash_def, CFC.sqrt_le_sqrt, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, StrictConvexOn.slope_lt_of_hasDerivWithinAt, 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, ConvexOn.monotoneOn_derivWithin, AffineSubspace.signedInfDist_def, MeasureTheory.Measure.addHaar_closedBall, NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply, Affine.Simplex.acuteAngled_reindex_iff, ConcaveOn.slope_le_rightDeriv, MeasureTheory.L1.setToL1_zero_left', ContDiffMapSupportedIn.fderivCLM_apply_of_le, Submodule.angle_coe, tendsto_integral_gaussian_smul, spectrum.instCompactSpaceNNReal, EuclideanGeometry.Sphere.inter_orthRadius_eq_singleton_of_dist_eq_radius, hasFDerivAt_integral_of_dominated_of_fderiv_le'', ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, MeasureTheory.L1.norm_Integral_le_one, MeasureTheory.condExp_bilin_of_stronglyMeasurable_right, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, Affine.Simplex.mem_altitude, Affine.Simplex.isDiameter_ninePointCircle, ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zero, MeasureTheory.convolution_mono_right, ContDiff.dimH_range_le, signedDist_lineMap_right, IsSelfAdjoint.toReal_spectralRadius_eq_norm, ProbabilityTheory.integral_id_multivariateGaussian', 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, intervalIntegral.integral_deriv_smul_comp''', Filter.Tendsto.cesaro_smul, Function.HasTemperateGrowth.mul, Affine.Simplex.mongePlane_reindex, det_rotation, MeasureTheory.integrable_continuousLinearMap_prod, Continuous.fourierPowSMulRight, ProbabilityTheory.HasGaussianLaw.fst, nnnorm_cfc_nnreal_lt_iff, MeasureTheory.setToFun_const, integral_complex_ofReal, complexOfReal_fderiv, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, RCLike.conjAe_coe, Affine.Simplex.height_eq_dist, 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, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, 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, tendsto_sum_mul_atTop_nhds_one_sub_integral, 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, EuclideanGeometry.angle_self_orthogonalProjection, ZLattice.covolume.tendsto_card_le_div'', TestFunction.instLineDerivSMulTopENat, 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, HasStrictFDerivAt.sin, 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, MeasureTheory.integral_deriv_smul_comp_Ioi, Besicovitch.multiplicity_le, AffineSubspace.angle_coe, HasFDerivWithinAt.const_rpow, MeasureTheory.measure_setAverage_le_pos, MeasureTheory.Integrable.measure_le_integral, ContDiffMapSupportedIn.fderivCLM_apply, intervalIntegral.integral_comp_mul_right, instStrictConvexSpace, rotation_symm, MeasureTheory.L1.setToL1_mono, TestFunction.fderivCLM_apply, fderivWithin_cosh, Affine.Simplex.ninePointCircle_map, MeasureTheory.integral_concaveOn_of_integrand_ae, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, VectorFourier.norm_fourierPowSMulRight_le, EuclideanGeometry.dist_smul_vadd_eq_dist, deriv_pos_left_of_sign_deriv, derivWithin_Ioi_eq_Ici, Complex.equivRealProdCLM_symm_apply_im, MeasureTheory.integral_singleton, intervalIntegral.integral_comp_div_sub, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, ConvexBody.hausdorffDist_coe, hasFDerivAt_fourierChar_neg_bilinear_right, MeasureTheory.integral_comp_smul_deriv_Ioi, fourier_continuousMultilinearMap_apply, MeasureTheory.measure_le_average_pos, AffineSubspace.mem_perpBisector_iff_inner_eq, ContDiffMapSupportedIn.continuous_iff_comp, MeasureTheory.Measure.setIntegral_toReal_rnDeriv_le, MonotoneOn.nnnorm_cfc, VectorFourier.norm_fourierSMulRight, RCLike.ofReal_im_ax, MeasureTheory.setLIntegral_tilted', DifferentiableAt.inversion, InnerProductSpace.volume_closedBall, cfc_setIntegral', differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, NormedSpace.norm_smul_normalize, cfcₙ_setIntegral', intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left, ProbabilityTheory.IndepFun.hasGaussianLaw_sub_of_sub, LinearMap.mem_span_iff_bound, homeomorphSphereProd_apply_fst_coe, MeasureTheory.ProbabilityMeasure.continuous_integral_continuousMap, ContinuousOn.cfcₙ_nnreal, ProbabilityTheory.IsGaussianProcess.hasGaussianLaw_sub, SchwartzMap.smulLeftCLM_sub, SchwartzMap.smulLeftCLM_apply_apply, 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, SpectrumRestricts.nnreal_iff_spectralRadius_le, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivWithinAt, ConvexBody.hausdorffEDist_coe, exists_deriv_eq_slope, MeasureTheory.SimpleFunc.integral_eq, integral_withDensity_eq_integral_toReal_smul₀, EuclideanGeometry.angle_pointReflection_right, Complex.hasStrictFDerivAt_log_real, MeasureTheory.SimpleFunc.setToSimpleFunc_const', MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux2, hasStrictDerivAt_tan, MeasureTheory.setIntegral_finset, InnerProductSpace.volume_closedBall_of_dim_odd, 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, DifferentiableOn.exp, sum_mul_eq_sub_sub_integral_mul', IsLocalMaxOn.hasFDerivWithinAt_eq_zero, Orientation.oangle_rotation_self_right, LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul, NumberField.mixedEmbedding.euclidean.finrank, DifferentiableAt.norm, MeasureTheory.Measure.toSphereBallBound_mul_measure_unitBall_le_toSphere_ball, differentiable_fourierChar_neg_bilinear_left, ConvexBody.hausdorffEdist_coe, ContDiffMapSupportedIn.fderivLM_apply_of_le, AffineBasis.centroid_mem_interior_convexHull, ProbabilityTheory.HasGaussianLaw.toLp_prodMk, 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, UpperHalfPlane.σ_conj, 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, Convex.second_derivative_within_at_symmetric_of_mem_interior, TestFunction.instContinuousSMulReal, MeasureTheory.integral_comp_mul_left_Ioi, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.reCLM_norm, MeasureTheory.integral_mul_deriv_eq_deriv_mul_of_integrable, ContinuousMapZero.toNNReal_neg_smul, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, MeasureTheory.SimpleFunc.map_integral, continuousOn_cfc_nnreal_setProd, InnerProductSpace.euclideanHausdorffMeasure_eq_volume, ProbabilityTheory.instIsGaussianMapHAdd, MeasureTheory.exists_upperSemicontinuous_le_integral_le, ContDiffMapSupportedIn.fderivLM_apply_of_gt, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, NumberField.mixedEmbedding.convexBodySum_convex, convex_halfSpace_im_le, EuclideanGeometry.Cospherical.subtype_val, HasFDerivAt.sqrt, MeasureTheory.measure_smul_setAverage, ContDiffPointwiseHolderAt.iteratedFDeriv, MeasureTheory.Integrable.comp_smul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, MeasureTheory.Measure.LinearMap.quasiMeasurePreserving, ContDiffMapSupportedIn.structureMapCLM_zero_injective, sum_mul_eq_sub_integral_mul, exists_eq_const_mul_setIntegral_of_nonneg, HasFDerivWithinAt.curveIntegral_segment_source', deriv_sin, 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, ContinuousLinearMap.coe_complexOfReal, differentiableAt_qaryEntropy, MeasureTheory.Measure.setIntegral_comp_smul_of_pos, MeasureTheory.condExp_aestronglyMeasurable_bilin_of_bound, intervalIntegral.integral_comp_mul_add, DifferentiableAt.exp, Affine.Simplex.exists_forall_signedInfDist_eq_iff_excenterExists_and_eq_excenter, Convex.hasFDerivWithinAt_curveIntegral_segment_of_hasFDerivWithinAt_symmetric, BoundedContinuousFunction.charMonoidHom_apply, Complex.integral_boundary_rect_of_differentiableOn_real, 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, MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_integral_norm, 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, HasFDerivAt.hasFDerivAt_norm_smul_pos, Orientation.oangle_map_complex, MeasureTheory.exists_eq_setAverage, fderiv_norm_rpow, ProbabilityTheory.instIsGaussianProdProdOfSecondCountableTopologyEither, intervalIntegral.integral_hasDerivAt_left, HasStrictFDerivAt.cosh, isTheta_deriv_ofReal_cpow_const_atTop, hasStrictDerivAt_const_rpow, MeasureTheory.FiniteMeasure.continuous_integral_continuousMap, HasStrictDerivAt.cos, MeasureTheory.integral_finset, Affine.Simplex.circumsphere_reindex, intervalIntegral.integral_deriv_eq_sub_uIoo, CStarAlgebra.norm_mem_spectrum_of_nonneg, IsPicardLindelof.exists_forall_mem_closedBall_eq_hasDerivWithinAt_lipschitzOnWith, Orientation.inner_smul_rotation_pi_div_two_smul_right, MeasureTheory.integral_bilinear_hasDerivAt_eq_sub, ContinuousAt.integral_sub_linear_isLittleO_ae, CircleIntegrable.out, KuratowskiEmbedding.exists_isometric_embedding, curveIntegral_def', MeasureTheory.rnDeriv_tilted_right, EuclideanGeometry.Sphere.direction_orthRadius, hasDerivAt_fourierIntegral, MeasureTheory.Measure.toSphere_eq_zero_iff_finrank, NNRealRMK.integral_rieszMeasure, Complex.rightAngleRotation, Affine.Simplex.Equilateral.angle_eq_pi_div_three, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono, EuclideanGeometry.dist_sq_add_dist_sq_eq_two_mul_dist_midpoint_sq_add_half_dist_sq, StrictMonoOn.exists_slope_lt_deriv, EuclideanGeometry.cospherical_iff_exists_mem_of_finiteDimensional, EuclideanGeometry.existsUnique_dist_eq_of_insert, Affine.Simplex.circumradius_reindex, AffineIndependent.existsUnique_dist_eq, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, ClosedSubmodule.symplComp_sup, ContinuousMapZero.toNNReal_smul, AffineSubspace.signedInfDist_apply_self, CFC.log_algebraMap, MeasureTheory.setIntegral_nonneg_of_ae, deriv_pos_right_of_sign_deriv, ProbabilityTheory.covarianceBilinDual_of_not_memLp, fderivWithin_arctan, StrictMonoOn.exists_deriv_lt_slope, UpperHalfPlane.denom_cocycle', 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, integral_bilinear_hasFDerivAt_right_eq_neg_left_of_integrable, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, instIsConvexMetricSpace, NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm, PeriodPair.indep, differentiable_rpow_const, isConformalMap_complex_linear, zero_at_infty_vector_fourierIntegral, MeasureTheory.integral_Icc_deriv_smul_of_deriv_nonpos, ProperCone.innerDual_iUnion, SchwartzMap.smulLeftCLM_apply, norm_injOn_ray_left, MeasureTheory.ofReal_average, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, Polynomial.mul_star_dvd_of_aeval_eq_zero_im_ne_zero, MeasureTheory.condExpIndSMul_ae_eq_smul, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, Quaternion.linearIsometryEquivTuple_apply, EuclideanGeometry.Sphere.orthRadius_parallel_orthRadius_iff, MeasureTheory.isAddHaarMeasure_euclideanHausdorffMeasure, MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul, fderiv_cosh, IsOpen.affineSpan_eq_top, SmoothPartitionOfUnity.contMDiff_smul, Affine.Triangle.sSameSide_affineSpan_pair_excenter_singleton_point, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, interval_average_eq, MeasureTheory.integral_mul_deriv_eq_deriv_mul, ProbabilityTheory.HasGaussianLaw.eval, instNonemptySeedRatReal, UpperHalfPlane.σ_eventuallyEq, differentiableWithinAt_complex_iff_differentiableWithinAt_real, Differentiable.rpow_const, TemperedDistribution.derivCLM_apply_apply, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, MeasureTheory.L1.setToL1'_eq_setToL1SCLM, intervalIntegral.derivWithin_integral_left, integral_re, HasStrictFDerivAt.sinh, MeasureTheory.Supermartingale.smul_nonneg, abs_signedDist_le_dist, EuclideanGeometry.Sphere.instNonemptySubtypeMemAffineSubspaceRealOrthRadius, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, hasDerivWithinAt_Ici_of_tendsto_deriv, hasStrictFDerivAt_rpow_of_neg, CFC.norm_mul_mul_star_self_of_nonneg, intervalIntegral.deriv_integral_of_tendsto_ae_left, Complex.isometryOfOrthonormal_symm_apply, hasStrictDerivAt_rpow_const, MeasureTheory.weightedSMul_smul_measure, UpperHalfPlane.σ_mul_comm, 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, MeasureTheory.integral_toReal_rnDeriv_mul, RCLike.ofRealCLM_coe, ProbabilityTheory.instIsGaussianMapHSub_1, TestFunction.lineDerivCLM_apply_of_gt, MeasureTheory.SimpleFunc.setToSimpleFunc_smul_real, DifferentiableAt.arctan, Affine.Triangle.dist_div_sin_oangle_div_two_eq_circumradius, InnerProductSpace.laplacian_CLE_comp_left, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, intervalIntegral.integral_unitInterval_deriv_eq_sub, 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, ContinuousAt.cfc_nnreal, MeasureTheory.integrableOn_Ioi_comp_rpow_iff, RealRMK.le_rieszMeasure_tsupport_subset, AffineSubspace.signedInfDist_apply_of_mem, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivWithinAt, hasDerivAt_Gamma_nat, MeasureTheory.L1.SimpleFunc.setToL1SCLM_nonneg, Orientation.oangle_smul_right_self_of_nonneg, HasStrictFDerivAt.inner, TopologicalGroup.IsSES.integrate_mono, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, differentiableAt_abs, le_gauge_of_subset_closedBall, 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, integral_bilinear_fderiv_right_eq_neg_left_of_integrable, MeasureTheory.integral_norm_eq_pos_sub_neg, ProbabilityTheory.isGaussian_stdGaussian, ProbabilityTheory.isPositive_covarianceOperator, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Affine.Simplex.height_reindex, HasFDerivAt.cosh, derivWithin_sinh, RCLike.conj_smul, not_continuousAt_deriv_qaryEntropy_one, DifferentiableOn.norm, Affine.Simplex.inradius_map, Complex.map_isometryOfOrthonormal, MeasureTheory.tilted_apply_eq_ofReal_integral', OpenPartialHomeomorph.unitBallBall_symm_apply, quasispectrum.instCompactSpaceNNReal, HasDerivAt.sin, Orientation.oangle_neg_orientation_eq_neg, Orientation.oangle_sign_smul_add_smul_left, tendsto_integral_comp_smul_smul_of_integrable', MeasureTheory.eval_integral_piLp, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, EuclideanGeometry.Sphere.secondInter_eq_lineMap, sum_mul_eq_sub_integral_mul₀, measurable_derivWithin_Ici, HasDerivWithinAt.exp, 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, StrictConcaveOn.leftDeriv_lt_slope, integral_re_add_im, parallelepiped_orthonormalBasis_one_dim, fourierIntegral_deriv, 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, ZLattice.covolume.tendsto_card_div_pow'', hasDerivAt_sinh, MeasureTheory.condExpL1CLM_smul, deriv_log_comp_eq_logDeriv, 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, HasFDerivWithinAt.cos, ContinuousWithinAt.cfc_nnreal, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, MeasureTheory.measure_unitBall_eq_integral_div_gamma, exists_extension_norm_eq, RCLike.real_smul_eq_coe_mul, EuclideanGeometry.Sphere.instHasOrthogonalProjectionRealDirectionOrthRadius, 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, DifferentiableWithinAt.sinh, IsSelfAdjoint.le_algebraMap_norm_self, DifferentiableOn.arsinh, SchwartzMap.integral_smul_deriv_right_eq_neg_left, Complex.conjCAE_toAlgEquiv, apply_le_nnnorm_cfcₙ_nnreal, ProbabilityTheory.covarianceBilinDual_of_not_memLp', MeasureTheory.SimpleFunc.integral_eq_lintegral', MeasureTheory.L1.SimpleFunc.setToL1S_smul_left', intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le', Affine.Triangle.orthocenter_vsub_circumcenter_eq_sum_vsub, 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, intervalIntegral.integral_deriv_smul_comp'', 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, EuclideanGeometry.mapsTo_inversion_affineSubspace_of_mem, DifferentiableWithinAt.exp, expNegInvGlue.differentiable_polynomial_eval_inv_mul, continuousOn_cfcₙ_nnreal_setProd, posTangentConeAt_univ, DifferentiableWithinAt.rpow, Differentiable.rpow, Orientation.volumeForm_comp_linearIsometryEquiv, EuclideanGeometry.inversion_eq_lineMap, Collinear.sbtw_of_dist_eq_of_dist_lt, InnerProductGeometry.IsConformalMap.preserves_angle, complexOfReal_derivWithin, StrictConvexSpace.of_norm_combo_lt_one, CFC.real_exp_eq_normedSpace_exp, CFC.norm_sqrt, LipschitzOnWith.ae_differentiableWithinAt, norm_fderiv_norm_id_rpow, NumberField.Units.basisOfIsMaxRank_fundSystem, CFC.continuousOn_rpow, HasDerivWithinAt.log, ClosedSubmodule.involutive_mulI, ClosedSubmodule.symplComp_inf, NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily, intervalIntegral.integral_deriv_smul_comp, 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, sum_mul_eq_sub_sub_integral_mul, 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, DifferentiableWithinAt.inner, NumberField.mixedEmbedding.norm_negAt, Orientation.oangle_sign_smul_sub_right, MeasureTheory.Measure.setIntegral_toReal_rnDeriv, MonotoneOn.nnnorm_cfcₙ, VectorFourier.fourierIntegral_fderiv, 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, Convex.thickening, MeasureTheory.weightedSMul_zero_measure, taylor_within_apply, hasDerivWithinAt_arccos_Iic, ContDiffBump.convolution_tendsto_right_of_continuous, ConcaveOn.slope_le_deriv, Affine.Simplex.excenter_reindex, measurableSet_of_differentiableWithinAt_Ici, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, fderivInnerCLM_apply, ProbabilityTheory.HasGaussianLaw.sum, ProbabilityTheory.HasGaussianLaw.charFunDual_map_eq, Affine.Simplex.ninePointCircle_center, TestFunction.injective_toBoundedContinuousFunctionCLM, eq_midpoint_of_dist_eq_half, MeasureTheory.integral_smul_measure, deriv_sqrt_mul_log', MeasureTheory.L1.setToL1'_apply_coeToLp, SchwartzMap.denseRange_toLpCLM, ConformalAt.const_smul, Orientation.linearIsometryEquiv_comp_rightAngleRotation', ContDiffPointwiseHolderAt.fst, LinearIsometry.re_apply_eq_re, 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, ConcaveOn.antitoneOn_deriv, isConformalMap_iff_is_complex_or_conj_linear, ContinuousLinearEquiv.contDiffPointwiseHolderAt_left_comp, ProbabilityTheory.integral_poissonMeasure', MeasureTheory.L1.setToL1_const, RCLike.span_one_I, AffineSubspace.euclideanHausdorffMeasure_coe_image, BoundedContinuousFunction.tendsto_integral_of_forall_limsup_integral_le_integral, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, fourierIntegral_continuousMultilinearMap_apply', IsLocalExtr.hasFDerivAt_eq_zero, Affine.Triangle.sSameSide_affineSpan_pair_incenter_point, differentiable_fourier, IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt₀, MeasureTheory.charFunDual_eq_prod_iff', UpperHalfPlane.hasStrictFDerivAt_smul, InnerProductSpace.laplacianWithin_CLE_comp_left, fourierIntegral_iteratedFDeriv, MeasureTheory.integral_Iic_deriv_mul_eq_sub, UpperHalfPlane.det_smulFDeriv, Matrix.PosDef.posDef_sqrt, MeasureTheory.Integrable.summable_integral, MeasureTheory.StronglyMeasurable.norm_approxBounded_le, InnerProductSpace.volume_ball_of_dim_even, Differentiable.cos, Orientation.rightAngleRotation_neg_orientation, NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm, Orientation.rotationAux_apply, ConcaveOn.le_slope_of_hasDerivAt, hasStrictDerivAt_exp, MeasureTheory.map_withDensity_abs_det_fderiv_eq_addHaar, CFC.norm_nnrpow, Affine.Simplex.centroid_eq_affineCombination_of_pointsWithCircumcenter, Complex.conjLIE_toCLE, InformationTheory.deriv_klFun, CFC.conjugate_rpow_neg_one_half, MeasureTheory.L1.setToL1_lipschitz, MeasureTheory.setIntegral_toReal_rnDeriv_mul, MeasureTheory.integral_exp_pos, differentiable_sigmoid, RightDerivMeasurableAux.mem_A_of_differentiable, 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, MeasureTheory.setToFun_eq, DifferentiableAt.abs_of_pos, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, ConvexOn.real_sSup_affine_eq, HasDerivAt.clog_real, CFC.log_smul, MeasureTheory.charFun_map_smul, ZSpan.setFinite_inter, convex_closedBall, intervalIntegral.integral_deriv_smul_deriv_comp', StrictConvexSpace.of_norm_add, MeasureTheory.lintegral_coe_eq_integral, MeasureTheory.integral_coe_le_of_lintegral_coe_le, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasFDerivAt.rpow, 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, DifferentiableAt.abs_of_neg, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, le_iff_norm_sqrt_mul_rpow, UpperHalfPlane.σ_denom, EuclideanGeometry.Sphere.mem_orthRadius_iff_inner_left, Complex.det_conjLIE, not_differentiableAt_abs_zero, second_derivative_symmetric_of_eventually_of_real, MonotoneOn.ae_differentiableWithinAt, Unitary.path_apply, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, SpectrumRestricts.nnreal_iff_nnnorm, MeasureTheory.integral_countable', RCLike.realLinearIsometryEquiv_apply, derivWithin.log, isBigO_rpow_zero_log_smul, ProperCone.innerDual_innerDual, Orientation.rightAngleRotation_map_complex, 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, isPosSemidef_inner, Differentiable.norm, deriv_fourier, HasFDerivWithinAt.sin, SchwartzMap.smulLeftCLM_smul, LinearIsometry.angle_map, HasStrictFDerivAt.exp, NumberField.mixedEmbedding.disjoint_negAt_plusPart, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, Matrix.IsHermitian.instContinuousFunctionalCalculus, DifferentiableAt.dist, MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_le, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, RCLike.imCLM_apply, fderiv_sin, RightDerivMeasurableAux.le_of_mem_A, EuclideanGeometry.Sphere.finrank_orthRadius, AffineSubspace.isConnected_setOf_sSameSide, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, cfc_setIntegral, TopologicalAddGroup.IsSES.integrate_apply, aestronglyMeasurable_withDensity_iff, ConvexOn.slope_le_leftDeriv_of_mem_interior, InnerProductGeometry.ConformalAt.preserves_angle, Affine.Simplex.points_vsub_eulerPoint, InnerProductGeometry.angle_smul_left_of_pos, domain_mvt, MeasureTheory.integral_toReal, SchwartzMap.laplacian_eq_fourierMultiplierCLM, Orientation.measure_orthonormalBasis, Affine.Simplex.ExcenterExists.sSameSide_excenter_point_iff, MeasureTheory.integral_mul_const, MeasureTheory.Measure.integral_comp_div, intervalIntegral.integral_const, ProbabilityTheory.iIndepFun.hasGaussianLaw_fun_sub, 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, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, SpectrumRestricts.nnreal_add, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', EuclideanGeometry.angle_eq_pi_iff_sbtw, MeasureTheory.condExpL1_eq, ModularGroup.smul_eq_lcRow0_add, deriv_cosh, 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, cfc_integral', MeasureTheory.snd_integral_withLp, Affine.Triangle.orthocenter_reindex, HasCompactSupport.hasFDerivAt_convolution_left, NumberField.mixedEmbedding.convexBodyLT'_convex, ProbabilityTheory.charFunDual_stdGaussian, Affine.Simplex.circumradius_map, intervalIntegral.integral_const_mul, CFC.abs_eq_zero_iff, Bundle.ContinuousRiemannianMetric.isVonNBounded, TemperedDistribution.smulLeftCLM_apply_apply, deriv_sqrt, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, MeasureTheory.SimpleFunc.map_setToSimpleFunc, Complex.continuousOn_one_add_mul_inv, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_tendsto, Orientation.inner_mul_areaForm_sub, fderiv_inner_apply, 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.L1.SimpleFunc.setToL1SCLM_add_left', 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, Continuous.cfcₙ_nnreal', HasDerivWithinAt.limsup_slope_le, BoundedContinuousFunction.probCharDual_apply, DifferentiableWithinAt.cos, 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, ProbabilityTheory.IsGaussian.map_rotation_eq_self_of_forall_strongDual_eq_zero, EuclideanGeometry.Sphere.self_mem_orthRadius, HasFDerivWithinAt.cosh, Affine.Simplex.insphere_reindex, MeasureTheory.integral_sum_dirac, Affine.Simplex.excenterExists_restrict, kuratowskiEmbedding.isometry, PeriodPair.instIsZLatticeRealComplexLattice, GaussianFourier.integral_rexp_neg_mul_sq_norm, convexOn_norm, ampleSet_univ, BoundedContinuousFunction.char_apply, MeasureTheory.Measure.addHaar_real_closedBall, MeasureTheory.integral_sum_dirac_eq_tsum, MeasureTheory.toReal_setLAverage, HasStrictFDerivAt.rpow_const, intervalIntegral.differentiableOn_integral_of_continuous, differentiable_circleMap, intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge, Complex.conjCAE_toLinearMap, ModularForm.slash_apply, MeasureTheory.average_eq, MeasureTheory.integral_bilinear_hasDerivAt_right_eq_neg_left_of_integrable, Affine.Simplex.sSameSide_point_incenter, ProbabilityTheory.indepFun_iff_charFunDual_prod, le_iff_norm_sqrt_mul_sqrt_inv, MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOn, intervalIntegral.smul_integral_comp_add_mul, Complex.restrictScalars_toSpanSingleton', differentiableAt_negMulLog_iff, MeasureTheory.Measure.integral_comp_inv_mul_right, Besicovitch.SatelliteConfig.exists_normalized_aux3, cfcₙ_integral', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, AffineSubspace.isPreconnected_setOf_sSameSide, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, IsLocalMinOn.fderivWithin_eq_zero, ProbabilityTheory.integral_tilted_mul_eq_cgf, deriv2_mul_log, LinearIsometryEquiv.coe_symm_toMeasurableEquiv, Affine.Triangle.dist_orthogonalProjectionSpan_faceOpposite_eq_iff_two_zsmul_oangle_eq, MeasureTheory.Measure.addHaar_smul, MeasureTheory.hasSum_integral_sum_dirac, Complex.reCLM_apply, hasDerivAt_negMulLog, Orientation.abs_volumeForm_apply_le, Affine.Simplex.ExcenterExists.sSameSide_point_excenter_iff, Complex.conjLIE_symm, StrictConvexOn.slope_lt_of_hasDerivAt, UpperHalfPlane.petersson_slash, 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, InnerProductSpace.HarmonicContOnCl.differentiableAt, Affine.Simplex.inner_vsub_vsub_altitudeFoot_eq_height_sq
bridge: BoxIntegral.hasIntegralIndicatorConst
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