Basic

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

Statistics

Metric	Count
Definitions toNormedRing, instNonUnitalNormedCommRing, instNonUnitalNormedRing, instNonUnitalSeminormedCommRing, instNonUnitalSeminormedRing, instNormedCommRing, instNormedRing, instSeminormedCommRing, instSeminormedRing, NonUnitalNormedCommRing, induced, toNonUnitalCommRing, toNonUnitalNormedRing, toNonUnitalSeminormedCommRing, NonUnitalNormedRing, induced, toMetricSpace, toNonUnitalRing, toNonUnitalSeminormedRing, toNorm, toNormedAddCommGroup, NonUnitalSeminormedCommRing, induced, toNonUnitalCommRing, toNonUnitalSeminormedRing, NonUnitalSeminormedRing, induced, toNonUnitalRing, toNorm, toPseudoMetricSpace, toSeminormedAddCommGroup, nonUnitalNormedCommRing, nonUnitalNormedRing, nonUnitalSeminormedCommRing, nonUnitalSeminormedRing, nonUnitalNormedRing, nonUnitalSeminormedRing, NormMulClass, NormOneClass, NormedCommRing, induced, toCommRing, toNonUnitalNormedCommRing, toNormedRing, toSeminormedCommRing, NormedRing, induced, toMetricSpace, toNonUnitalNormedRing, toNorm, toRing, toSeminormedRing, normedCommRing, nonUnitalNormedCommRing, nonUnitalNormedRing, nonUnitalSeminormedCommRing, nonUnitalSeminormedRing, normedCommRing, normedRing, seminormedCommRing, seminormedRing, normedCommRing, RingHomIsometric, SeminormedCommRing, induced, toCommRing, toNonUnitalSeminormedCommRing, toSeminormedRing, SeminormedRing, induced, toNonUnitalSeminormedRing, toNorm, toPseudoMetricSpace, toRing, normedCommRing, normedRing, seminormedCommRing, seminormedRing, normedRing, seminormedRing, toNormedCommRing, toNormedRing, toSeminormedCommRing, toSeminormedRing, nonUnitalNormedCommRing, nonUnitalNormedRing, nonUnitalSeminormedCommRing, nonUnitalSeminormedRing, normedCommRing, normedRing, seminormedCommRing, seminormedRing, nnnormHom, normHom	94
Theorems nnnorm_prod_le, nnnorm_prod_le', norm_prod_le, norm_prod_le', restriction, nnnorm_prod, nnnorm_prod_le, nnnorm_prod_le', norm_prod, norm_prod_le, norm_prod_le', normOneClass, enorm_eq, nnnorm_eq, norm_eq, norm_cast_le, mul_comm, dist_eq, norm_mul_le, mul_comm, dist_eq, norm_mul_le, induced, isAbsoluteValue_norm, norm_mul, toNoZeroDivisors, toNormOneClass, induced, nontrivial, norm_one, tendsto_atTop, tendsto_atTop', mul_comm, dist_eq, norm_mul_le, normOneClass, normOneClass, iSup_fun_mul_eq_iSup_mul_iSup_of_nonneg, iSup_prod_eq_prod_iSup_of_nonneg, iSup_prod_eq_prod_iSup_of_nonnegHomClass, enorm_map, ids, nnnorm_map, norm_map, mul_comm, dist_eq, norm_mul_le, toNormMulClass, toNormOneClass, normOneClass, nnnorm_pos, norm_pos, enorm_mul, enorm_one, enorm_pow, eventually_norm_pow_le, mulLeft_bound, mulRight_bound, nnnormHom_apply, nnnorm_commutator_units_sub_one_le, nnnorm_intCast_abs, nnnorm_mul, nnnorm_mul_le, nnnorm_mul_le_of_le, nnnorm_mul₃_le, nnnorm_natAbs, nnnorm_one, nnnorm_pow, nnnorm_pow_le, nnnorm_pow_le', nnnorm_prod, nnnorm_sub_mul_le, nnnorm_sub_mul_le', normHom_apply, norm_commutator_units_sub_one_le, norm_intCast_abs, norm_mul, norm_mul_le, norm_mul_le_of_le, norm_mul₃_le, norm_natAbs, norm_pow, norm_pow_le, norm_pow_le', norm_prod, norm_sub_mul_le, norm_sub_mul_le', one_le_nnnorm_one, one_le_norm_one	89
Total	183

AbsoluteValue

Definitions

Name	Category	Theorems
toNormedRing 📖	CompOp	—

Finset

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
nnnorm_prod_le 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing prod CommRing.toCommMonoid NormedCommRing.toCommRing CommSemiring.toCommMonoid NNReal.instCommSemiring	—	LE.le.trans_eq norm_prod_le NNReal.coe_prod prod_congr
nnnorm_prod_le' 📖	mathematical	Nonempty	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing prod CommRing.toCommMonoid NormedCommRing.toCommRing CommSemiring.toCommMonoid NNReal.instCommSemiring	—	LE.le.trans_eq norm_prod_le' NNReal.coe_prod prod_congr
norm_prod_le 📖	mathematical	—	Real Real.instLE Norm.norm NormedRing.toNorm NormedCommRing.toNormedRing prod CommRing.toCommMonoid NormedCommRing.toCommRing Real.instCommMonoid	—	List.norm_prod_le
norm_prod_le' 📖	mathematical	Nonempty	Real Real.instLE Norm.norm NormedRing.toNorm NormedCommRing.toNormedRing prod CommRing.toCommMonoid NormedCommRing.toCommRing Real.instCommMonoid	—	List.norm_prod_le'

IsPowMul

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
restriction 📖	mathematical	IsPowMul Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring	IsPowMul Subalgebra CommRing.toCommSemiring Ring.toSemiring SetLike.instMembership Subalgebra.instSetLike SubmonoidClass.instPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero SubsemiringClass.toSubmonoidClass Semiring.toNonAssocSemiring Subalgebra.instSubsemiringClass	—	SubsemiringClass.toSubmonoidClass Subalgebra.instSubsemiringClass

List

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
nnnorm_prod 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NNReal NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring NNReal.instOne	—	map_list_prod MonoidHom.instMonoidHomClass
nnnorm_prod_le 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring NNReal.instOne	—	LE.le.trans_eq norm_prod_le NNReal.coe_list_prod
nnnorm_prod_le' 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring NNReal.instOne	—	LE.le.trans_eq norm_prod_le' NNReal.coe_list_prod
norm_prod 📖	mathematical	—	Norm.norm SeminormedRing.toNorm Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne Real Real.instMul Real.instOne	—	map_list_prod MonoidHom.instMonoidHomClass
norm_prod_le 📖	mathematical	—	Real Real.instLE Norm.norm SeminormedRing.toNorm Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne Real.instMul Real.instOne	—	NormOneClass.norm_one instReflLe norm_prod_le'
norm_prod_le' 📖	mathematical	—	Real Real.instLE Norm.norm SeminormedRing.toNorm Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne Real.instMul Real.instOne	—	mul_one instReflLe le_trans norm_mul_le mul_le_mul_of_nonneg_left IsOrderedRing.toPosMulMono Real.instIsOrderedRing norm_nonneg

MulOpposite

Definitions

Name	Category	Theorems
instNonUnitalNormedCommRing 📖	CompOp	—
instNonUnitalNormedRing 📖	CompOp	1 math math: CStarRing.MulOpposite.instMulOpposite
instNonUnitalSeminormedCommRing 📖	CompOp	—
instNonUnitalSeminormedRing 📖	CompOp	—
instNormedCommRing 📖	CompOp	—
instNormedRing 📖	CompOp	5 math math: DoubleCentralizer.norm_def', CStarMatrix.norm_def', lp.instIsCentralScalarPreLp, MeasureTheory.Lp.instIsCentralScalar, lp.instIsCentralScalarSubtypePreLpMemAddSubgroup
instSeminormedCommRing 📖	CompOp	—
instSeminormedRing 📖	CompOp	1 math math: NormMulClass.toNormSMulClass_op

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
normOneClass 📖	mathematical	—	NormOneClass MulOpposite SeminormedAddCommGroup.toNorm instSeminormedAddCommGroup instOne	—	NormOneClass.norm_one

NNReal

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_eq 📖	mathematical	—	ENorm.enorm Real NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing Real.normedCommRing toReal ENNReal.ofNNReal	—	nnnorm_eq
nnnorm_eq 📖	mathematical	—	NNNorm.nnnorm Real SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing Real.normedCommRing toReal	—	eq norm_nonneg abs_eq
norm_eq 📖	mathematical	—	Norm.norm Real Real.norm toReal	—	Real.norm_eq_abs abs_eq

Nat

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
norm_cast_le 📖	mathematical	—	Real Real.instLE Norm.norm SeminormedRing.toNorm AddMonoidWithOne.toNatCast AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne SeminormedRing.toRing Real.instMul Real.instNatCast AddMonoidWithOne.toOne	—	cast_zero norm_zero MulZeroClass.zero_mul instReflLe cast_succ add_mul Distrib.rightDistribClass one_mul norm_add_le_of_le le_rfl

NonUnitalNormedCommRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toNonUnitalCommRing 📖	CompOp	3184 math math: cfc_realPart, Polynomial.fderiv, range_cfcₙ_nnreal, Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, HasDerivAt.fun_neg, ValueDistribution.logCounting_zero, TestFunction.lineDerivCLM_apply_of_le, LinearMap.IsSymmetric.clm_adjoint_eq, Real.hasDerivAt_arccos, InnerProductSpace.Core.inner_smul_right, HasStrictFDerivAt.log, continuousSMul_sphere_ball, WithLp.prod_inner_apply, fderiv_iteratedFDeriv, RCLike.sqrt_eq_ite, HasStrictDerivAt.fun_pow', FormalMultilinearSeries.comp_rightInv_aux1, integrableOn_cfcₙ', tendsto_zero_iff_meromorphicOrderAt_pos, AnalyticAt.tendsto_mul_logDeriv_simple_zero, Unitization.isometry_inr, LinearMap.mkContinuous₂_norm_le', ContinuousMultilinearMap.norm_mkPiRing, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, ContinuousLinearMap.derivWithin_of_bilinear, Bundle.ContMDiffRiemannianMetric.isVonNBounded, HasDerivWithinAt.clm_comp, InnerProductSpace.Core.inner_add_left, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, meromorphicNFOn_mul_iff_right_of_analyticOnNhd, ProbabilityTheory.cdf_measure_stieltjesFunction, continuous_cfcₙHomSuperset_left, hasDerivWithinAt_Iio_iff_Iic, cfcₙL_integral, HasDerivAt.ccos, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, Function.locallyFinsuppWithin.logCounting_single_eq_log_sub_const, LinearMap.mkContinuous₂_apply, Matrix.frobenius_nnnorm_mul, RCLike.pos_iff_exists_ofReal, TensorProduct.inner_tmul, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, HasMFDerivAt.mul, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, InnerProductSpace.isPositive_rankOne_self, HasDerivAt.const_rpow, Orthonormal.inner_left_finsupp, ProbabilityTheory.isGaussian_iff_gaussian_charFun, Function.locallyFinsuppWithin.logCounting_strictMono, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, logDeriv_const, HasFDerivWithinAt.continuousMultilinearMap_apply, RCLike.map_apply, MDifferentiableOn.clm_postcomp, hasDerivWithinAt_ofNat, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, ContinuousLinearMap.analyticWithinAt_bilinear, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, Meromorphic.mul, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, HasDerivAt.const_sub, hasDerivWithinAt_add_const_iff, FormalMultilinearSeries.comp_partialSum, HasDerivAtFilter.sum, HasFDerivWithinAt.ccos, Matrix.IsHermitian.isClosedEmbedding_cfcAux, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, hasStrictDerivAt_intCast, cfcₙ_norm_nonneg, Complex.linearEquiv_det_conjLIE, ContinuousWithinAt.cfcₙ, LeftInvariantDerivation.leibniz, Ideal.toCharacterSpace_apply_eq_zero_of_mem, MeasureTheory.convolution_eq_right', Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasStrictFDerivAt_exp_of_mem_ball, hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, HasStrictDerivAt.rpow, cfcₙHom_apply_mem_elemental, curveIntegral_smul, cfc_im_id, Real.fourierCoeff_tsum_comp_add, CFC.abs_eq_cfc_norm, inner_vsub_right_eq_zero_symm, CFC.monotoneOn_one_sub_one_add_inv, CFC.sqrt_eq_one_iff', Filter.Tendsto.cfc, CFC.posPart_one, InnerProductSpace.rankOne_one_left_eq_innerSL, ContinuousMap.abs_mem_subalgebra_closure, Function.FactorizedRational.divisor, AlgHomClass.instStarHomClass, cfc_mem_elemental, NonUnitalCStarAlgebra.toStarModule, hasDerivAt_sqrt_mul_log, StrongDual.norm_extendRCLike, HasFiniteFPowerSeriesAt.neg, HasStrictFDerivAt.csin, Polynomial.isEquivalent_atBot_div, nnnorm_cfcₙ_nnreal_le_iff, ContinuousLinearMap.map_add_add, HasFDerivWithinAt.pow, Function.locallyFinsuppWithin.toClosedBall_support_subset_closedBall, WeakDual.isCompact_polar, MeromorphicOn.divisor_fun_smul, nnnorm_cfc_lt, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, HasDerivWithinAt.div_const, Real.hasDerivAt_sigmoid, meromorphicOrderAt_const_ofNat, ContDiffMapSupportedIn.seminorm_monoLM_eq, Asymptotics.IsTheta.const_mul_left, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, HasDerivWithinAt.congr_mono, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, Matrix.IsHermitian.det_abs, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, LinearMap.IsPositive.ne_zero_iff, hasDerivAt_integral_of_dominated_loc_of_lip, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, hasFDerivAt_multiset_prod, MDifferentiableAt.cle_arrowCongr, ProbabilityTheory.covarianceBilinDual_apply', spectrum.subset_closedBall_norm_mul, continuousSMul_sphere_sphere, CFC.monotone_nnrpow, RCLike.re_add_im, CFC.posPart_natCast, hasFTaylorSeriesUpToOn_top_iff_right, MeasureTheory.convolution_mul, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, FormalMultilinearSeries.radius_pi_eq_iInf, CFC.tendsto_cfc_rpow_sub_one_log, SchwartzMap.pairing_apply_apply, InnerProductSpace.isIdempotentElem_rankOne_self, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, Differentiable.clm_comp, Padic.withValUniformEquiv_norm_le_one_iff, tendsto_cobounded_iff_meromorphicOrderAt_neg, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, logDeriv_comp, StrongDual.polarSubmodule_eq_setOf, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, HasStrictDerivAt.pow, CFC.sq_sqrt, RCLike.star_def, OrthonormalBasis.sum_inner_mul_inner, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, meromorphicOrderAt_const, HasDerivAt.hasDerivWithinAt, ContinuousLinearMap.hasDerivAtFilter, fderivWithin_csinh, span_fourier_closure_eq_top, HasDerivAtFilter.comp_hasFDerivAtFilter, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, HasDerivWithinAt.fun_div, HasFPowerSeriesOnBall.add, integrableOn_cfc', OpenPartialHomeomorph.hasDerivAt_symm, WeakDual.isClosed_image_polar_of_mem_nhds, ContinuousLinearMap.integral_apply, HasDerivAt.fun_finset_prod, ProbabilityTheory.covarianceBilinDual_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', hensels_lemma, Padic.AddValuation.map_one, Real.fderiv_fourierChar_neg_bilinear_right_apply, BoundedContinuousFunction.char_neg, Unitization.real_cfcₙ_eq_cfc_inr, norm_cfc_lt_iff, HasFDerivWithinAt.clm_apply, hasFPowerSeriesOnBall_pi_iff, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, ContDiffMapSupportedIn.structureMapCLM_apply, RCLike.sub_conj, iteratedFDerivWithin_succ_eq_comp_right, NumberField.mem_maximalRealSubfield_iff, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', SchwartzMap.lineDerivOp_fourier_eq, ValueDistribution.logCounting_zero_mul_le, RCLike.pos_iff, PadicInt.valuation_zero, isClosedEmbedding_cfcₙAux, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, innerSL_apply_apply, fderiv_multiset_prod, HasFPowerSeriesWithinOnBall.restrictScalars, CFC.abs_eq_cfcₙ_coe_norm, ProbabilityTheory.covarianceBilin_multivariateGaussian, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, EuclideanSpace.inner_single_left, HasFTaylorSeriesUpTo.hasFDerivAt, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, Submodule.orthogonalProjectionFn_inner_eq_zero, hasDerivAt_neg', Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContMDiffOn.clm_postcomp, inner_eq_norm_mul_iff, ContinuousLinearMap.toBilinForm_apply, ProbabilityTheory.covarianceBilin_apply_eq_cov, iteratedDerivWithin_comp_two, ProbabilityTheory.covarianceBilin_self, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, nnnorm_cfcₙ_lt_iff, MeromorphicAt.mul, ContinuousLinearMap.IsPositive.inner_nonneg_right, selfAdjoint.expUnitaryPathToOne_apply, hasDerivAt_bernoulliFun, derivWithin_fderivWithin, CFC.nnnorm_sqrt, MultilinearMap.mkContinuousMultilinear_apply, ProbabilityTheory.uncenteredCovarianceBilin_apply, StrongDual.norm_extendRCLike_bound, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, PadicInt.nthHom_zero, Polynomial.isCoveringMapOn_eval, ContinuousOn.cfcₙ', ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, fderiv_clm_comp, BoxIntegral.unitPartition.mem_smul_span_iff, InnerProductSpace.Core.inner_smul_left, SchwartzMap.bilinLeftCLM_apply, ContinuousMap.setOfIdeal_ofSet_eq_interior, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, ContinuousLinearMap.fpowerSeriesBilinear_apply_zero, fderiv_continuousAlternatingMap_apply_const, HasGradientAt.hasDerivAt', AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, iteratedDeriv_pow, Int.padicValuation_lt_one_iff, AffineMap.hasDerivWithinAt, MeromorphicOn.divisor_const, HasDerivAt.clm_apply, MeromorphicNFAt.meromorphicOrderAt_nonneg_iff_analyticAt, ContDiffMapSupportedIn.seminorm_fderivLM_le, instSMulCommClass_sphere_sphere_sphere, Bundle.RiemannianMetric.isVonNBounded, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, ContDiffMapSupportedIn.seminorm_fderivLM_top, meromorphicOrderAt_mul, HasStrictDerivAt.of_local_left_inverse, PadicInt.nonarchimedean, IsGreatest.nnnorm_cfcₙ, NormedSpace.toIsBoundedSMul, ContinuousAt.cfc, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Submodule.isOrtho_iff_inner_eq, Complex.hasStrictDerivAt_tan, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, curveIntegralFun_smul, hasDerivAt_exp_zero_of_radius_pos, ClosedSubmodule.mem_orthogonal', CFC.sqrt_rpow, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, logDeriv_mul, ContinuousMap.continuousMap_mem_subalgebra_closure_of_separatesPoints, ContinuousAlternatingMap.piLIE_apply_apply, PreInnerProductSpace.Core.smul_left, Differentiable.fderiv_norm_rpow, UnitAddTorus.mFourierSubalgebra_coe, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, RCLike.toStarOrderedRing, MeasureTheory.integral_const_mul, FormalMultilinearSeries.hasSum_of_finite, signedDist_right_congr, hasDerivAtFilter_ofNat, iteratedDeriv_comp_const_mul, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, RCLike.is_real_TFAE, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, ContinuousMap.toNNReal_neg_algebraMap, HasStrictDerivAt.cpow, HasFPowerSeriesOnBall.restrictScalars, ContinuousLinearMap.isometry_mul_flip, UpperHalfPlane.num_neg, PadicInt.zmodRepr_mul, fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, InnerProductSpace.smul_left, ClosedSubmodule.inf_orthogonal, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, sum_cauchyPowerSeries_eq_integral, SchwartzMap.laplacianCLM_eq, monomial_has_deriv_aux, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, LinearIsometryEquiv.conjStarAlgEquiv_apply, HasDerivWithinAt.sub, LinearMap.toMatrixOrthonormal_reindex, PiTensorProduct.projectiveSeminormAux_smul, MeasureTheory.ConvolutionExistsAt.integrable, CompactlySupportedContinuousMap.nnrealPart_smul_neg, Matrix.IsHermitian.eigenvalues_eq, cfc_complex_eq_real, HasStrictFDerivAt.pow, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Function.locallyFinsuppWithin.zero_iff_logCounting_bounded, Real.hasDerivAt_mul_log, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, norm_cfc_le_iff, fderivWithin_sinh, RCLike.mul_conj, iter_deriv_zpow', Matrix.exp_conj', hasLineDerivAt_iff_isLittleO_nhds_zero, Real.hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, ContinuousLinearMap.opNorm_mul_flip_apply, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, CFC.negPart_algebraMap, InnerProductSpace.inner_left_rankOne_apply, cfcₙHom_nnreal_eq_restrict, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, TestFunction.toBoundedContinuousFunctionCLM_apply, HasFDerivAt.finset_prod, ENNReal.orderIsoRpow_symm_apply, hasStrictDerivAt_abs_pos, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, ContinuousLinearMap.norm_extendTo𝕜, Matrix.exp_neg, cfcHom_mem_elemental, HasSum.hasSum_at_zero, cfcₙHom_mem_elemental, HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, ContinuousAlternatingMap.curryLeft_smul, polynomialFunctions.starClosure_topologicalClosure, antideriv_bernoulliFun, Real.hasStrictFDerivAt_rpow_of_pos, hasFDerivWithinAt_inv, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, ContMDiffAt.clm_postcomp, ContMDiffWithinAt.clm_postcomp, hasDerivWithinAt_pi, Real.integrable_prod_sub, HasFDerivWithinAt.csin, PadicAlgCl.isNonarchimedean, ContinuousLinearMap.eq_adjoint_iff, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, RCLike.nonpos_iff, RCLike.nonpos_iff_exists_ofReal, Polynomial.div_tendsto_zero_iff_degree_lt, RCLike.wInner_of_isEmpty, Real.volume_val, Continuous.cfc', OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, Int.padicValuation_eq_one_iff, HasFPowerSeriesAt.comp, RCLike.realRingEquiv_symm_apply, HasFDerivAt.continuousMultilinear_apply_const, HasFDerivWithinAt.continuousAlternatingMap_apply, ContinuousLinearMap.IsPositive.smul_of_nonneg, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, FormalMultilinearSeries.sum_of_finite, MeromorphicOn.divisor_pow, gelfandStarTransform_apply_apply, RCLike.nonUnitalContinuousFunctionalCalculus, HasFTaylorSeriesUpToOn.zero_eq', SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, PadicInt.le_valuation_add, signedDist_left_congr, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContDiffMapSupportedIn.monoLM_apply, HasDerivWithinAt.Iic_of_Iio, ContinuousMultilinearMap.norm_smulRightL_le, Function.locallyFinsuppWithin.logCounting_nonneg, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, cfcₙ_integral, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, LinearMap.isHermitian_toMatrix_iff, HasDerivWithinAt.clm_apply, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.hasDerivAt, RKHS.kernel_apply, HasDerivAt.finCons, signedDist_triangle, HasDerivWithinAt.sin, HasDerivAtFilter.add, Real.hasDerivAt_arcosh, cfcₙ_setIntegral, FormalMultilinearSeries.radius_le_smul, MDifferentiable.clm_postcomp, ContinuousLinearMap.isPositive_self_comp_adjoint, HasDerivAt.cpow, LinearMap.adjoint_toContinuousLinearMap, hasDerivAt_iff_isLittleO, HasDerivAt.arctan, Polynomial.toAddCircle_X_pow_eq_fourier, Unitization.sqrt_inr, HasDerivAt.sqrt, Continuous.cfc_nnreal', hasFPowerSeriesAt_const, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, fderiv_eq_deriv_mul, Submodule.starProjection_inner_eq_zero, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, signedDist_linear_apply_apply, MeromorphicOn.extract_zeros_poles_log, CFC.abs_coe_unitary, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, FormalMultilinearSeries.radius_compNeg, SchwartzMap.fourierMultiplierCLM_compL_fourierMultiplierCLM, HasStrictDerivAt.fun_sum, LinearIsometryEquiv.adjoint_eq_symm, extDeriv_fun_smul, fderivWithin_ccosh, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeasureTheory.setIntegral_prod_mul, Matrix.toEuclideanLin_apply, HasDerivAt.congr_of_eventuallyEq, HasFDerivWithinAt.mul, LinearMap.IsPositive.isPositive_smul_iff, VectorFourier.fourierPowSMulRight_eq_comp, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, RCLike.im_eq_zero_iff_isSelfAdjoint, HasFDerivWithinAt.multiset_prod, ContinuousLinearMap.opNorm_mul, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, InnerProductSpace.Core.inner_smul_ofReal_right, HasFDerivAt.arctan, Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg, Real.hasStrictDerivAt_arccos, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, HasFTaylorSeriesUpTo.fderiv_eq, HasDerivAt.fun_pow', Unitization.nnnorm_def, Unitization.dist_inr, HasStrictFDerivAt.abs, IsUnit.cfcSqrt, CFC.continuousOn_log, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, TestFunction.fderivCLM_ofSupportedIn, Function.locallyFinsuppWithin.logCounting_eval_zero, ProbabilityTheory.IndepFun.integral_comp_mul_comp, Complex.instContinuousStar, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, HasDerivAt.nonneg_of_monotone, isScalarTower_sphere_closedBall_closedBall, Complex.hasDerivAt_GammaIntegral, fderiv_continuousAlternatingMapCompContinuousLinearMap, PadicInt.norm_lt_one_iff_dvd, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, MeromorphicOn.divisor_natCast, PadicInt.mul_inv, PiTensorProduct.mapL_smul, RCLike.I_mul_I, ProbabilityTheory.charFun_multivariateGaussian, cfcL_integrable, ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, ValueDistribution.logCounting_mul_zero_eventuallyLE, ValueDistribution.logCounting_top, hasDerivAtFilter_natCast, Polynomial.isEquivalent_atTop_lead, meromorphicOrderAt_ne_top_iff, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, LDL.lowerInv_orthogonal, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, signedDist_le_dist, HasStrictFDerivAt.arsinh, RCLike.re_nonneg_of_nonneg, HasFDerivWithinAt.exp, ContinuousOn.cfc, summable_mul_of_bigO_atTop, SchwartzMap.fourier_lineDerivOp_eq, AddChar.wInner_cWeight_eq_zero_iff_ne, hasStrictDerivAt_exp_smul_const, RCLike.ofReal_nonneg, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Filter.EventuallyEq.ftaylorSeries, isBoundedBilinearMap_comp, fderivWithin_sin, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, CFC.continuousOn_sqrt, hasStrictDerivAt_add_const_iff, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, multipliable_one_add_of_summable, RCLike.complexRingEquiv_apply, FormalMultilinearSeries.rightInv_removeZero, HasStrictDerivAt.csin, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, ClosedSubmodule.orthogonal_closure'', HasDerivWithinAt.comp, hasStrictDerivAt_exp_smul_const', Complex.hasStrictFDerivAt_cpow', Real.fourier_iteratedFDeriv, HasDerivAt.add, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, ValueDistribution.logCounting_mul_top_eventuallyLE, HasStrictDerivAt.div, meromorphicOrderAt_mul_of_ne_zero, hasDerivAtFilter_zero, signedDist_apply_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, derivWithin_zpow, Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, UnitAddTorus.mFourierCoeff_toLp, WeakDual.toStrongDual_inj, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, Asymptotics.IsEquivalent.mul, LinearMap.extendTo𝕜'_apply, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, hasDerivAt_id', HasDerivWithinAt.cos, LinearMap.dualEmbedding_surjective, Bundle.ContinuousRiemannianMetric.symm, ContinuousMultilinearMap.curryRight_norm, ContinuousLinearMap.analyticOn_bilinear, Matrix.IsHermitian.eigenvectorUnitary_mulVec, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, iteratedFDeriv_comp_const_smul, Function.locallyFinsuppWithin.logCounting_eventually_le, fderiv.log, HasStrictDerivAt.arctan, HasStrictDerivAt.mul, hasStrictFDerivAt_multiset_prod, MDifferentiableAt.clm_postcomp, fderiv_continuousAlternatingMap_apply, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, ContDiffMapSupportedIn.monoLM_eq_of_scalars, hasDerivAt_abs_neg, coe_innerSL_apply, fderivWithin_finset_prod, inner_eq_zero_of_right, LinearMap.IsSymmetric.inner_map_self_eq_zero, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, meromorphicNFAt_mul_iff_left, RegularNormedAlgebra.isometry_mul', HasStrictDerivAt.real_of_complex, PadicInt.inv_mul, Matrix.PosSemidef.det_sqrt, multipliable_norm_one_add_of_summable_norm, range_cfcₙHom, TestFunction.limitCLM_apply, hasDerivWithinAt_abs, RCLike.toPosMulReflectLT, hasFPowerSeriesOnBall_const, fun_meromorphicOrderAt_zpow, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, HasDerivWithinAt.csinh, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, VectorFourier.hasFDerivAt_fourierIntegral, PadicInt.fwdDiff_tendsto_zero, ClosedSubmodule.inner_real_eq_re_inner, hasFDerivAt_ringInverse, LinearMap.IsPositive.inner_nonneg_left, norm_cfcₙ_lt, HasFDerivAt.continuousAlternatingMap_apply, MeasureTheory.convolution_precompR_apply, ProbabilityTheory.IsMeasurableRatCDF.instIsProbabilityMeasure_stieltjesFunction, WeakDual.coe_toStrongDual, NormedSpace.eq_zero_iff_forall_dual_eq_zero, SchwartzMap.compSubConstCLM_apply, VectorFourier.fourierIntegral_iteratedFDeriv, InformationTheory.hasDerivAt_klFun, ContinuousMap.toNNReal_algebraMap, InnerProductSpace.nnnorm_rankOne, range_cfc_subset, BoundedContinuousFunction.mem_charPoly, spectrum.gelfandTransform_eq, StarAlgHom.continuous_realContinuousMapOfNNReal, BoundedContinuousFunction.charAlgHom_apply, HasDerivAt.fun_pow, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, FormalMultilinearSeries.continuousOn_of_finite, Matrix.PosSemidef.trace_eq_zero_iff, Commute.cfc_real, Matrix.gram_zero, ContinuousAlternatingMap.curryLeft_apply_apply, ContinuousLinearMap.flip_smul, logDeriv_fun_pow, MeromorphicOn.divisor_inv, Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos, HasDerivAtFilter.mono, Submodule.norm_eq_iInf_iff_inner_eq_zero, HasDerivWithinAt.fun_pow', Module.Dual.extendRCLike_apply, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, MeasureTheory.lpNorm_mul_natCast, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, MeromorphicOn.divisor_fun_pow, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, Matrix.IsHermitian.charpoly_cfc_eq, MeasureTheory.ConvolutionExistsAt.integrable_swap, IsGreatest.norm_cfcₙ, hasGradientWithinAt_iff_hasFDerivWithinAt, Real.volume_eq_stieltjes_id, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, hasDerivAt_tsum_of_isPreconnected, Matrix.gram_eq_conjTranspose_mul, nnnorm_cfcₙ_nnreal_lt, CFC.sqrt_eq_rpow, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, cfcₙ_re_id, cfcₙ_comp_norm, HasDerivWithinAt.nonpos_of_antitoneOn, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, LDL.lowerInv_triangular, CompactlySupportedContinuousMap.coe_toRealLinearMap, MeromorphicOn.divisor_fun_prod, HasFPowerSeriesOnBall.fderiv_eq, Continuous.cfcₙ_of_mem_nhdsSet, UpperHalfPlane.zero_form_isBoundedAtImInfty, continuousMap_mem_polynomialFunctions_closure, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, SchwartzMap.smulLeftCLM_sum, AffineMap.hasDerivWithinAt_lineMap, NumberField.ComplexEmbedding.IsConj.eq, cfc_real_eq_nnreal, ContinuousLinearMap.fderiv_of_bilinear, Real.hasDerivWithinAt_arccos_Ici, cfcₙHom_integral, Continuous.cfcₙ, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, ContinuousAlternatingMap.alternatizeUncurryFin_smul, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Complex.hasDerivAt_Gammaℝ_one, StarAlgHom.realContinuousMapOfNNReal_apply, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, TestFunction.postcompCLM_apply, hasDerivAt_iff_tendsto_slope_left_right, BoundedContinuousFunction.instStarModule, HasFTaylorSeriesUpToOn.hasFDerivWithinAt, HasDerivWithinAt.const_cpow, Submodule.adjoint_subtypeL, IsGreatest.norm_cfc, hasStrictFDerivAt_exp, HasDerivAtFilter.sub, ContinuousLinearMap.opNorm_mul_apply, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, deriv_fun_div, Function.FactorizedRational.mulSupport, ContinuousMapZero.integral_apply, RCLike.conj_mul, MeasureTheory.convolution_def, ContinuousMultilinearMap.curryLeft_norm, Polynomial.toAddCircle.integrable, HasDerivAtFilter.iterate, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, CStarModule.inner_smul_left_complex, HasFPowerSeriesWithinOnBall.prod, MDifferentiableWithinAt.clm_precomp, HasDerivAt.fun_add, HasDerivAt.neg, HasDerivAt.star, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, continuousOn_cfcₙ, hasStrictDerivAt_const_add_iff, isBoundedBilinearMap_compMultilinear, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, iteratedDeriv_fun_id_zero, HasFPowerSeriesOnBall.uniform_geometric_approx, 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, Unitization.cobounded_eq_aux, HasDerivAtFilter.const_smul, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, CompactlySupportedContinuousMap.nnrealPart_add_le_add_nnrealPart, RCLike.ofReal_mul, Polynomial.div_tendsto_atBot_zero_of_degree_lt, HasFPowerSeriesWithinAt.fderivWithin_eq, isCoveringMap_zpow, RCLike.instContinuousMapUniqueHom, FormalMultilinearSeries.id_comp', ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_univ, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, derivWithin_fun_div, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, signedDist_eq_zero_of_orthogonal, DifferentiableWithinAt.hasDerivWithinAt, ProbabilityTheory.covarianceBilin_zero, CFC.posPart_algebraMap_nnreal, HasFPowerSeriesOnBall.sum, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, VectorFourier.differentiable_fourierIntegral, HasDerivWithinAt.mul, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, HasDerivAt.log, fderiv_inverse, SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, range_cfcₙ, ContMDiffOn.clm_precomp, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, contDiffOn_nat_iff_continuousOn_differentiableOn, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, Complex.hasStrictFDerivAt_cpow, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, Filter.EventuallyEq.hasDerivAt_iff, fderiv_pow, InnerProductSpace.rankOne_eq_zero, IsGreatest.nnnorm_cfc, HasDerivAt.csinh, Real.fourierIntegral_convergent_iff', fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, RCLike.mul_wInner_left, Convex.toWeakSpace_closure, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, RCLike.re_eq_norm_of_mul_conj, Bundle.ContMDiffRiemannianMetric.symm, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, InnerProductSpace.inner_right_rankOne_apply, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, HasDerivWithinAt.sqrt, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, meromorphicOrderAt_const_natCast, Real.hasDerivAt_qaryEntropy, innerSL_inj, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, fderivWithin_inv', hasDerivAt_add_const_iff, hasDerivWithinAt_pow, HasFDerivWithinAt.cpow, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, HasFPowerSeriesOnBall.compContinuousLinearMap, AffineSubspace.signedInfDist_eq_signedDist_of_mem, HasStrictFDerivAt.const_cpow, MeromorphicOn.divisor_prod, MeromorphicOn.divisor_intCast, HasFDerivWithinAt.csinh, RealRMK.rieszMeasure_le_of_eq_one, AnalyticAt.meromorphicOrderAt_nonneg, ContDiffMapSupportedIn.uniformSpace_eq_iInf, Function.locallyFinsuppWithin.logCounting_eventuallyLE, cfcₙAux_id, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, hasDerivWithinAt_one, deriv_comp_add_const, HasFDerivAt.abs, WeakDual.isCompact_closedBall, RCLike.instMulPosReflectLE, VectorFourier.iteratedFDeriv_fourierIntegral, TestFunction.coe_ofSupportedInCLM, PointedContMDiffMap.smul_def, CFC.sqrt_eq_one_iff, HasFDerivWithinAt.abs, continuousSMul_closedBall_ball, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, RCLike.ofNat_mul_re, CStarAlgebra.norm_posPart_le, OrthonormalBasis.tensorProduct_repr_tmul_apply', HasLineDerivAt.tendsto_slope_zero, HasStrictDerivAt.to_local_left_inverse, HasDerivWithinAt.inner, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, IsGreatest.nnnorm_cfcₙ_nnreal, HasFDerivWithinAt.mul_const, UnitAddTorus.mFourier_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, isScalarTower_sphere_sphere_sphere, MeasureTheory.hasFDerivAt_convolution_right_with_param, ProbabilityTheory.IsGaussian.charFun_eq', InnerProductSpace.exists_of_rankOne_eq_rankOne, ProbabilityTheory.covarianceBilinDual_eq_covariance, fderiv_mul, signedDist_zero, StieltjesFunction.measurable_measure, hasDerivAt_ofNat, SchwartzMap.postcompCLM_apply, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, CompactlySupportedContinuousMap.toRealLinearMap_apply, Matrix.l2_opNNNorm_mulVec, cfcₙ_mem_elemental, AlternatingMap.mkContinuousAlternating_norm_le, HasCompactSupport.hasFDerivAt_convolution_right, meromorphicOrderAt_id, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, FormalMultilinearSeries.mkPiRing_coeff_eq, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, ProbabilityTheory.covarianceBilinDual_zero, HasStrictDerivAt.exp, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, RealRMK.integral_rieszMeasure, CFC.continuous_abs, LeftInvariantDerivation.map_zero, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, RCLike.I_eq_zero_or_im_I_eq_one, InnerProductSpace.toDualMap_apply, gelfandTransform_map_star, Bundle.Pretrivialization.continuousLinearMap.isLinear, UpperHalfPlane.hasStrictDerivAt_smul, HasDerivAt.cosh, continuousOn_cfc_nnreal, InnerProductSpace.gramSchmidt_orthogonal, ContinuousLinearMap.adjoint_inner_left, fderivWithin_cos, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, InnerProductSpace.gramSchmidt_pairwise_orthogonal, ContDiffMapSupportedIn.seminorm_monoLM_le, ContinuousLinearMap.isBoundedBilinearMap, HasFPowerSeriesWithinOnBall.sum, Matrix.l2_opNorm_diagonal, Real.hasStrictDerivAt_arcosh, LinearMap.extendTo𝕜_apply, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, HasDerivAt.sub, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, MeromorphicOn.divisor_sub_const_of_ne, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, HasDerivAt.ccosh, HasStrictDerivAt.sum, hasDerivAtFilter_id, fderivWithin_continuousMultilinear_apply_const, FormalMultilinearSeries.le_radius_compContinuousLinearMap, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, fderivWithin_ccos, Matrix.isSymmetric_toEuclideanLin_iff, hasDerivAt_update, cfc_nnreal_eq_real, ContinuousAlternatingMap.ofSubsingletonLIE_apply, HasStrictFDerivAt.clog, nnnorm_apply_le_nnnorm_cfcₙ, Orthonormal.isHilbertSum, FormalMultilinearSeries.compAlongComposition_bound, iteratedDeriv_fun_id, continuousMultilinearCurryRightEquiv_symm_apply, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, cfcₙ_real_eq_complex, HasStrictDerivAt.smul, inner_eq_sum_norm_sq_div_four, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, hasDerivAt_tsum, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, Bundle.ContMDiffRiemannianMetric.pos, HasStrictFDerivAt.sqrt, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, ContinuousLinearMap.bilinearComp_zero_right, WeakDual.isBounded_closure, IsContMDiffRiemannianBundle.exists_contMDiff, ContinuousMap.ideal_isMaximal_iff, MeasureTheory.SignedMeasure.singularPart_add, hasDerivAtFilter_add_const_iff, HasDerivWithinAt.arsinh, HasStrictDerivAt.csinh, hasDerivAt_jacobiTheta₂_fst, InnerProductSpace.rank_rankOne, ContMDiffOn.cle_arrowCongr, HasDerivWithinAt.scomp_of_eq, HasDerivAt.exp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, IsometricContinuousFunctionalCalculus.toNonUnital, HasStrictFDerivAt.rpow, InnerProductSpace.toDual_apply_apply, RCLike.exists_norm_eq_mul_self, NumberField.InfinitePlace.ComplexEmbedding.conjugate_sign, ContinuousMap.sup_mem_closed_subalgebra, ContinuousLinearMap.adjointAux_apply, Real.hasDerivAt_arcsin, cfcₙ_comp_re, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, Submodule.linearEquiv_det_reflection, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, HasDerivAt.csin, RCLike.add_conj, cfc_comp_im, HasFPowerSeriesWithinOnBall.sub, CFC.exp_eq_normedSpace_exp, CFC.abs_natCast, HasLineDerivAt.tendsto_slope_zero_left, tendsto_nhds_iff_meromorphicOrderAt_nonneg, CStarAlgebra.isStrictlyPositive_iff_isStrictlyPositive_sqrt_and_eq_sqrt_mul_sqrt, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, LDL.lower_conj_diag, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', RKHS.kerFun_dense, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, InnerProductSpace.rankOne_def, HasDerivAt.smul_const, InnerProductSpace.Core.inner_self_eq_zero, HasDerivAtFilter.sub_const, ContinuousLinearMap.coe_flipₗᵢ', Finset.norm_prod_one_add_sub_one_le, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, 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, PadicInt.norm_lt_one_mul, Real.hasStrictDerivAt_cosh, contDiff_iff_continuous_differentiable, hasDerivAt_const, iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, ProbabilityTheory.covarianceBilin_comm, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, HasStrictDerivAt.cosh, HasStrictFDerivAt.ccos, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, Complex.hasDerivAt_Gammaℂ_one, integrable_cfcₙ, Matrix.l2_opNNNorm_conjTranspose, Summable.hasProdUniformlyOn_nat_one_add, Complex.hasStrictDerivAt_const_cpow, RCLike.ofReal_add, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, ContinuousMultilinearMap.prodL_apply, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, IsSelfAdjoint.cfc_arg, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousLinearMap.coe_flipMultilinearEquiv, HasDerivWithinAt.cpow, NonUnitalAlgHom.coe_Lmul, ContinuousMultilinearMap.norm_map_init_le, SchwartzMap.compCLMOfAntilipschitz_apply, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, LinearIsometryEquiv.conjStarAlgEquiv_refl, HasDerivAt.tendsto_slope_zero_left, Matrix.PosSemidef.nonneg, eventually_singleton_add_smul_subset, RCLike.im_mul_ofReal, HasDerivAt.complexToReal_fderiv, fderivWithin_fderivWithin_eq_of_eventuallyEq, HasDerivAt.nonpos_of_antitone, StrongDual.polarSubmodule_eq_polar, HasDerivWithinAt.Ici_of_Ioi, summable_prod_mul_pow, PiTensorProduct.liftEquiv_symm_apply, Matrix.nonneg_iff_posSemidef, norm_cfcₙ_lt_iff, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, extDerivWithin_fun_smul, RCLike.wInner_zero_right, fourierSubalgebra_separatesPoints, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, ftaylorSeries_fun_zero, HasDerivAt.add_const, cfcₙ_comp_im, MeasureTheory.SignedMeasure.re_toComplexMeasure, fromTangentSpace_mfderiv_smul', HasDerivAt.of_isLittleO, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Matrix.exp_zsmul, SchwartzMap.postcompCLM_postcompCLM, Commute.cfcₙHom, Submodule.mem_orthogonal', ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, StarAlgHom.realContinuousMapOfNNReal_apply_comp_toReal, HasDerivAt.sub_const, LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, ContinuousLinearMap.aestronglyMeasurable_comp₂, continuousSMul_sphere_closedBall, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt, SchwartzMap.smulLeftCLM_const, HasDerivWithinAt.rpow, LinearMap.toMatrix_innerₛₗ_apply, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, Matrix.permMatrix_l2_opNorm_le, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, Function.locallyFinsuppWithin.toClosedBall_divisor, PointwiseConvergenceCLM.equivWeakDual_symm_apply, PadicAlgCl.instUniformContinuousConstSMulPadic, hasDerivAt_of_tendstoUniformlyOn, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, Complex.hasFDerivAt_cpow, Matrix.eigenvalues_self_mul_conjTranspose_nonneg, HasDerivWithinAt.nonneg_of_monotoneOn, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, iteratedDerivWithin_zpow, inner_zero_left, HasStrictDerivAt.scomp_of_eq, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, HasStrictDerivAt.fun_finset_prod, Matrix.inner_toEuclideanCLM, ContinuousLinearMap.norm_precompR_le, ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, MeasureTheory.lpNorm_fun_natCast_mul, hasStrictDerivAt_finCons', RCLike.neg_iff, isScalarTower_closedBall_ball_ball, Continuous.cfc_nnreal_of_mem_nhdsSet, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, meromorphicNFAt_iff_analyticAt_or, ContinuousLinearMap.isBoundedLinearMap_comp_right, Matrix.PosSemidef.toLinearMap₂'_zero_iff, RCLike.sqrt_eq_real_add_ite, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus, WeakDual.isSeqCompact_closedBall, TestFunction.lineDerivCLM_add, hasStrictDerivAt_finCons, PiTensorProduct.liftEquiv_apply, HasFDerivAt.cexp, extDerivFun_zero, WeakDual.isBounded_iff_isVonNBounded, HasDerivWithinAt.congr_of_eventuallyEq_of_mem, Matrix.l2_opNorm_conjTranspose, HasFDerivAt.ccos, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, HasDerivWithinAt.ccosh, fderivWithin_iteratedFDerivWithin, ProbabilityTheory.IndepFun.integral_fun_mul_eq_mul_integral, MultilinearMap.mkContinuousLinear_norm_le, WeakDual.exists_countable_separating, ContinuousLinearMap.deriv_of_bilinear, HasFDerivWithinAt.log, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, HasFDerivAt.clog, innerSLFlip_apply_apply, Continuous.cfcₙ_nnreal, ContinuousLinearMap.nnnorm_holder_apply_apply_le, RCLike.ofReal_mul_pos_iff, Polynomial.hasFDerivAt, signedDist_smul_of_pos, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, HasDerivAtFilter.star, Summable.summable_log_norm_one_add, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, ContinuousLinearMap.bilinear_hasTemperateGrowth, UpperHalfPlane.σ_neg, IsBoundedBilinearMap.isBoundedLinearMap_deriv, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, inner_add_left, HasDerivAt.sinh, HasDerivAtFilter.scomp, Submodule.orthogonal_orthogonal_eq_closure, MeromorphicOn.divisor_ofNat, RCLike.toZeroLEOneClass, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Complex.hasDerivAt_cos, HasDerivWithinAt.fun_smul, TestFunction.lineDerivOp_eq_lineDerivCLM, signedDist_lineMap_lineMap, contMDiffOn_continuousLinearMapCoordChange, ContinuousMultilinearMap.curryFinFinset_apply_const, InnerProductSpace.enorm_rankOne, Orthonormal.inner_finsupp_eq_sum_right, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, Convex.exists_forall_hasDerivWithinAt, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, meromorphicNFOn_mul_iff_left_of_analyticOnNhd, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, analyticOrderAt_mul, ClosedSubmodule.mem_symplComp_iff, ContinuousAt.cfcₙ_nnreal, ContDiff.smulRight, ContinuousMultilinearMap.flipLinear_apply_apply, tendsto_integral_mul_one_add_inv_smul_sq_pow, HasGradientAt.hasFDerivAt, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, PadicComplex.isNonarchimedean, LinearMap.hasDerivWithinAt, Real.fourier_fderiv, FormalMultilinearSeries.comp_id, ContinuousMap.adjoin_id_eq_span_one_union, signedDist_vadd_left_swap, hasFTaylorSeriesUpTo_succ_nat_iff_right, ContinuousOn.cfc_nnreal_of_mem_nhdsSet, SchwartzMap.compSubConstCLM_zero, ContDiffMapSupportedIn.seminorm_top_le_iff, HasFDerivWithinAt.norm_sq, CFC.abs_algebraMap, Complex.restrictScalars_one_smulRight, ClosedSubmodule.iInf_orthogonal, HasDerivAt.clm_comp, Matrix.isHermitian_gram, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, ContinuousLinearMap.uncurryBilinear_apply, LinearMap.IsSymmetric.isSymmetric_smul_iff, Matrix.isStrictlyPositive_iff_posDef, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, hasStrictDerivAt_abs, Orthonormal.linearIsometryEquiv_symm_apply_single_one, Matrix.PosDef.commute_iff, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, NormedSpace.inclusionInDoubleDualWeak_apply, Bundle.RiemannianMetric.symm, PadicInt.norm_lt_one_add, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, iteratedFDeriv_eq_equiv_comp, Complex.hasStrictDerivAt_log, CFC.log_monotoneOn, sum_mul_eq_sub_integral_mul₀', Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, RCLike.nonneg_iff, AbsoluteValue.IsEquiv.equivWithAbs_image_mem_nhds_zero, Real.hasDerivAt_cos, RCLike.ofReal_zero, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, HasDerivWithinAt.comp_hasDerivAt_of_eq, summable_pow_div_add, hasDerivAtFilter_iff_isLittleO, HasDerivAt.fun_const_smul, HasDerivAt.fun_sub, IsStrictlyPositive.nnrpow, deriv_comp, HasFDerivAt.ccosh, Circle.star_addChar, fderiv_cos, Filter.Tendsto.cfcₙ, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, ContinuousMap.sup_mem_subalgebra_closure, hasDerivAt_exp_smul_const, HasDerivAtFilter.add_const, HasDerivAt.clog, hasFDerivWithinAt_comp_smul_smul_iff, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, RCLike.instContinuousStar, HasStrictDerivAt.congr_deriv, ProbabilityTheory.hasDerivAt_complexMGF, MeromorphicOn.divisor_fun_zpow, LinearMap.isPositive_toContinuousLinearMap_iff, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', CFC.monotone_rpow, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, iteratedDerivWithin_one_div, FormalMultilinearSeries.changeOrigin_eval_of_finite, fderivWithin_fun_pow, iteratedFDerivWithin_two_apply', PadicInt.mahlerTerm_one, Polynomial.isEquivalent_atTop_div, HasDerivAt.const_smul, Real.hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, HasStrictFDerivAt.arctan, RCLike.zero_re, RCLike.inner_tmul_eq, HasStrictDerivAt.add, inr_comp_cfcₙHom_eq_cfcₙAux, InnerProductSpace.gramSchmidt_triangular, CFC.monotoneOn_one_sub_one_add_inv_real, HasFDerivAt.multiset_prod, extDerivFun_add, Matrix.l2_opNNNorm_mul, HasFDerivAt.mul_const, unitary.spectrum_subset_circle, MeasureTheory.integral_prod_mul, iteratedDerivWithin_fun_id, HasFPowerSeriesAt.fderiv_eq, MeromorphicOn.divisor_apply, HasDerivAtFilter.scomp_of_eq, ContinuousWithinAt.cfcₙ_nnreal, nnnorm_cfc_le_iff, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, HasDerivAt.scomp_hasDerivWithinAt_of_eq, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, exists_polynomial_near_continuousMap, RCLike.re_eq_add_conj, ContinuousLinearMap.isometry_iff_adjoint_comp_self, continuousMultilinearCurryFin0_apply, ContinuousMap.inf_mem_subalgebra_closure, PiTensorProduct.dualSeminorms_bounded, CommCStarAlgebra.toStarModule, FormalMultilinearSeries.radius_neg, HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, ProbabilityTheory.covarianceBilin_self_nonneg, HasDerivAt.comp_const_sub, HasDerivAt.norm_sq, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, HasDerivWithinAt.add, IsSelfAdjoint.conj_adjoint, ContinuousMultilinearMap.curryMidEquiv_apply, Summable.multipliableLocallyUniformlyOn_one_add, ContinuousMap.inf_mem_closed_subalgebra, HasStrictFDerivAt.continuousMultilinear_apply_const, ContDiffMapSupportedIn.monoLM_eq_zero, ValueDistribution.logCounting_mul_top_le, CFC.continuousOn_nnrpow, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, fderiv_exp, DoubleCentralizer.algebraMap_snd, WeakDual.polar_def, RCLike.wInner_const_left, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, hasFiniteFPowerSeriesOnBall_const, iteratedFDerivWithin_succ_apply_left, EuclideanSpace.toLp_single, ProbabilityTheory.measurable_measure_stieltjesOfMeasurableRat, hasStrictFDerivAt_norm_sq, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, ContinuousMultilinearMap.norm_mkPiAlgebra, WeakDual.withSeminorms, hasDerivWithinAt_natCast, MeromorphicOn.divisor_fun_mul, MeromorphicOn.divisor_zpow, ContinuousLinearMap.bilinearComp_apply, derivWithin_pow_field, Summable.multipliableLocallyUniformlyOn_nat_one_add, ContinuousMap.exists_mem_subalgebra_near_continuous_of_isCompact_of_separatesPoints, range_cfcₙ_nnreal_eq_image_cfcₙ_real, RCLike.inner_apply, HasStrictDerivAt.log, ClosedSubmodule.mem_orthogonal, Matrix.posDef_iff_eq_conjTranspose_mul_self, Filter.Tendsto.cfcₙ_nnreal, WeakDual.CharacterSpace.compContinuousMap_apply, HasDerivAt.fun_div, hasDerivAt_id, HasFTaylorSeriesUpToOn.fderivWithin, Real.hasDerivAt_rpow_const, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, continuousMultilinearCurryFin0_symm_apply_apply, HasDerivWithinAt.fun_const_smul, RCLike.normSq_mul, ContinuousLinearMap.ker_self_comp_adjoint, Polynomial.isEquivalent_atBot_lead, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, FormalMultilinearSeries.id_comp, fderivWithin.log, ContinuousLinearMap.norm_map_tail_le, deriv_update, HasFPowerSeriesAt.restrictScalars, hasDerivAt_integral_of_dominated_loc_of_deriv_le, HasFDerivWithinAt.sinh, orthonormal_subtype_iff_ite, ProbabilityTheory.IndepFun.integral_fun_comp_mul_comp, Summable.hasProdLocallyUniformlyOn_one_add, ContinuousLinearMap.instStarModuleId, Polynomial.hasFDerivAt_aeval, continuous_cfcHomSuperset_left, EisensteinSeries.vecMul_SL2_mem_gammaSet, HasDerivWithinAt.const_mul, IsUnit.cfcNNRpow, HasFDerivAt.continuousAlternatingMap_apply_const, Summable.multipliableUniformlyOn_one_add, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, Continuous.cfc_of_mem_nhdsSet, norm_fderiv_iteratedFDeriv, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, TestFunction.lineDerivCLM_eq_fderivCLM, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, ProbabilityTheory.covarianceBilinDual_self_nonneg, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, HasFDerivAt.log, HasDerivWithinAt.arctan, Matrix.l2_opNNNorm_def, ValueDistribution.logCounting_top_mul_eventually_le, hasDerivAtFilter_sub_const_iff, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.adjointAux_adjointAux, HasStrictDerivAt.const_add, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, LeftInvariantDerivation.coe_add, signedDist_lineMap_left, ContMDiffAt.clm_precomp, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, inner_zero_right, ProbabilityTheory.covarianceBilin_real_self, ContinuousOn.cfc_nnreal, nnnorm_cfcₙ_nnreal_lt_iff, inner_self_eq_zero, Real.hasStrictDerivAt_arsinh, iter_deriv_pow', cfc_integral, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, Orthonormal.inner_right_finsupp, ValueDistribution.characteristic_sub_characteristic_inv, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, inner_product_apply_eigenvector, HasFTaylorSeriesUpToOn.hasFDerivAt, RCLike.realLinearIsometryEquiv_symm_apply, hasStrictFDerivAt_inv, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, ArithmeticFunction.IsMultiplicative.eulerProduct, VectorFourier.fourierSMulRight_apply, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, ContinuousLinearMap.isSelfAdjoint_iff', RCLike.exists_norm_mul_eq_self, HasDerivWithinAt.clog, BumpCovering.exists_finset_toPartitionOfUnity_eventuallyEq, ContinuousMultilinearMap.uncurryRight_apply, WithLp.unitization_nnnorm_inr, HasDerivAt.comp_const_add, nnnorm_cfc_nnreal_lt, InnerProductSpace.Core.inner_smul_ofReal_left, fderiv_inv, derivWithin_comp_mul_left, HasFDerivAt.exp, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, cfcₙ_imaginaryPart, ContinuousLinearMap.bilinearComp_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, HasDerivWithinAt.scomp_hasDerivAt_of_eq, isScalarTower_sphere_sphere_closedBall, signedDist_anticomm, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, OrthonormalBasis.inner_eq_zero, CFC.rpow_le_rpow, 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, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Submodule.isOrtho_span, IsStrictlyPositive.sqrt, HasDerivWithinAt.neg, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, ContinuousMultilinearMap.integral_apply, Complex.hasDerivAt_sqrt, HasStrictDerivAt.smul_const, HasStrictDerivAt.sub, HasFiniteFPowerSeriesOnBall.neg, inner_add_add_self, sum_mul_eq_sub_integral_mul₁, HasDerivWithinAt.Ioo_of_Ioi, RCLike.complexLinearIsometryEquiv_symm_apply, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d, UpperHalfPlane.denom_neg, WeakDual.isClosed_closedBall, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, cfcₙ_real_eq_nnreal, HasDerivAt.arsinh, cfc_comp_re, ProbabilityTheory.instIsProbabilityMeasureCondCDF, fderiv_ccos, InnerProductSpace.Core.inner_sub_sub_self, Meromorphic.fun_mul, StrongDual.extendRCLikeₗᵢ_symm_apply, nnnorm_cfc_nnreal_le, Matrix.PosSemidef.kronecker, inner_add_right, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, FormalMultilinearSeries.le_comp_radius_of_summable, ContinuousLinearMap.le_opNorm₂, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, InnerProductSpace.Core.inner_zero_right, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, ContinuousLinearMap.norm_uncurryMid, RCLike.wInner_const_right, NumberField.InfinitePlace.Completion.instIsTopologicalRing, InnerProductSpace.rankOne_def', ContinuousLinearMap.opNorm_mul_le, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, Continuous.cfc_nnreal, hasStrictDerivAt_abs_neg, HasFDerivAt.comp_hasDerivWithinAt, HasFPowerSeriesOnBall.tendstoUniformlyOn', HasFPowerSeriesWithinOnBall.const_smul, ContinuousOn.cfc_of_mem_nhdsSet, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, nnnorm_cfc_nnreal_le_iff, HasFPowerSeriesOnBall.sub, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, TestFunction.monoCLM_eq_of_scalars, HasDerivAt.rpow, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, PadicComplex.instIsScalarTowerPadicPadicAlgCl, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, RCLike.ofNat_mul_im, LinearMap.toMatrixOrthonormal_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, fderivWithin_exp, CFC.sqrt_sq, NormedSpace.vonNBornology_eq, ProbabilityTheory.covarianceBilin_apply_pi, cfcₙAux_injective, EuclideanSpace.inner_eq_star_dotProduct, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, ContinuousLinearMap.isometry_mul, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', isCoveringMapOn_npow, NonUnitalCommCStarAlgebra.toStarModule, logDeriv_eq_zero_of_not_differentiableAt, CFC.rpow_sqrt_nnreal, Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, signedDist_triangle_right, HasStrictFDerivAt.continuousAlternatingMap_apply, PadicInt.fwdDiff_iter_le_of_forall_le, Valued.integer.coe_span_singleton_eq_closedBall, StrongDual.extendRCLikeₗ_symm_apply, HasDerivAtFilter.congr_of_eventuallyEq, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, HasFTaylorSeriesUpToOn.add, MeasureTheory.dist_convolution_le', HasFDerivWithinAt.rpow_const, fderivWithin_multiset_prod, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, HasDerivWithinAt.csin, DifferentiableWithinAt.clm_comp, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, abs_signedDist_eq_dist_iff_vsub_mem_span, MDifferentiableOn.cle_arrowCongr, InnerProductSpace.innerSL_norm, MultilinearMap.mkContinuousMultilinear_norm_le', toWeakSpace_closedConvexHull_eq, cfcₙ_mem, Unitization.norm_def, ContinuousMap.toNNReal_mul_add_neg_mul_add_mul_neg_eq, HasStrictDerivAt.const_smul, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, selfAdjoint.star_coe_unitarySelfAddISMul, HasDerivAt.fun_sum, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, second_derivative_symmetric, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, Profinite.NobelingProof.GoodProducts.finsuppSum_mem_span_eval, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, HasFDerivAt.sinh, CStarAlgebra.rpow_neg_one_le_rpow_neg_one, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, HasFDerivAt.comp_hasDerivWithinAt_of_eq, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, ContinuousMapZero.toNNReal_mul_add_neg_mul_add_mul_neg_eq, ContinuousLinearMap.norm_extendTo𝕜', HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, ContinuousMapZero.toContinuousMapHom_toNNReal, Valued.isNonarchimedean_norm, Submodule.inner_left_of_mem_orthogonal, HasDerivAtFilter.const_add, HasDerivWithinAt.of_notMem_tsupport, MDifferentiableAt.clm_precomp, ContDiffMapSupportedIn.postcompCLM_apply, SchwartzMap.compSubConstCLM_comp, HasDerivWithinAt.mono_of_mem_nhdsWithin, DoubleCentralizer.coeHom_apply, cfcₙ_im_id, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, signedDist_neg, ProbabilityTheory.covarianceBilin_apply_basisFun, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ContinuousAlternatingMap.restrictScalarsLI_apply, Complex.restrictScalars_toSpanSingleton, ProbabilityTheory.measure_cdf, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, HasFPowerSeriesOnBall.tendsto_partialSum, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, HasDerivWithinAt.Ioi_of_Ioo, locallyFinsuppWithin.logCounting_divisor, HasDerivWithinAt.fun_mul, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, Asymptotics.isTheta_const_mul_right, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, inner_eq_zero_of_left, HasFPowerSeriesWithinAt.prod, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, HasDerivWithinAt.pow', VectorFourier.contDiff_fourierIntegral, ContinuousLinearMap.adjoint_comp_self_injective_iff, fourierSubalgebra_coe, FormalMultilinearSeries.leftInv_coeff_one, Matrix.exp_conj, Polynomial.toAddCircle_monomial_eq_smul_fourier, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, Matrix.IsHermitian.spectral_theorem, integrableOn_cfcₙ, Complex.hasStrictDerivAt_sin, hasFPowerSeriesAt_pi_iff, norm_cfcₙ_le, hasDerivWithinAt_univ, MulChar.star_apply', ValueDistribution.logCounting_zero_mul_eventually_le, signedDist_vsub_self_rev, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, HasFDerivAt.rpow_const, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints, HasFPowerSeriesAt.hasFDerivAt, WeakDual.isClosed_polar, spec_cfcₙAux, iteratedDerivWithin_pow, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, StrongDual.extendRCLikeₗᵢ_apply, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, ContinuousOn.cfcₙ_nnreal', Submodule.inner_right_of_mem_orthogonal, LinearMap.IsPositive.trace_nonneg, LinearMap.mkContinuous₂_norm_le, signedDist_linear_apply, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, HasDerivAt.hasFDerivAt_equiv, HasStrictFDerivAt.const_rpow, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, InnerProductSpaceable.add_left, RCLike.complexRingEquiv_symm_apply, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, hasStrictDerivAt_const, integrable_cfcₙ', RCLike.ofReal_eq_zero, fderiv_finset_prod, ContinuousLinearMap.self_comp_adjoint_injective_iff, CompactlySupportedContinuousMap.toReal_add, deriv_single, ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_Iic, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, HasFPowerSeriesWithinAt.restrictScalars, Matrix.PosDef.isStrictlyPositive, Asymptotics.IsEquivalent.exists_eq_mul, range_cfc_nnreal, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_blockTriangular, ContDiffMapSupportedIn.norm_apply_le_seminorm, RCLike.re_mul_ofReal, nnnorm_cfc_le, fderiv_continuousAlternatingMap_apply_apply, HasDerivWithinAt.fun_sub, PiTensorProduct.mapLMultilinear_apply_apply, iteratedDeriv_comp_two, HasStrictFDerivAt.cos, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, ContinuousMap.setOfIdeal_eq_compl_singleton, signedDist_self, Complex.hasDerivAt_cosh, isBoundedBilinearMap_apply, FormalMultilinearSeries.analyticOnNhd, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, ProbabilityTheory.measure_stieltjesOfMeasurableRat_univ, PadicInt.zmodRepr_zero, HasStrictDerivAt.comp, hasStrictFDerivAt_ringInverse, signedDist_vsub_self, ContinuousLinearMap.mul_apply', fromTangentSpace_mfderiv_smul, MeasureTheory.SignedMeasure.rnDeriv_smul, integrable_cfc', MeromorphicNFOn.zero_set_eq_divisor_support, LinearMap.instStarModuleId, NumberField.inverse_basisMatrix_mulVec_eq_repr, signedDist_smul, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasFDerivWithinAt.arsinh, InnerProductSpace.rankOne_comp_rankOne, MeromorphicOn.circleAverage_log_norm, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, Real.hasStrictDerivAt_arctan, Matrix.PosSemidef.det_nonneg, HasDerivAtFilter.comp_of_eq, CFC.abs_ofNat, parallelogram_law, Submodule.orthogonal_closure', hasDerivAtFilter_finCons', MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, Asymptotics.IsTheta.listProd, nnnorm_apply_le_nnnorm_cfc, TestFunction.fderivCLM_eq_of_scalars, CFC.negPart_one, StrongDual.toLpₗ_of_not_memLp, analyticOrderAt_id, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, BoundedContinuousFunction.instIsBoundedSMul_1, Continuous.cfc, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, hasStrictFDerivAt_finset_prod, TestFunction.lineDerivCLM_eq_of_scalars, instContMDiffInv₀ModelWithCornersSelf, deriv_zpow, InnerProductSpace.rankOne_comp, HasDerivWithinAt.comp_hasFDerivAt, Submodule.mem_orthogonal, StrongDual.mem_polarSubmodule, MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, ContinuousMapZero.toNNReal_add_add_neg_add_neg_eq, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, HasDerivWithinAt.scomp, hasFPowerSeriesWithinAt_pi_iff, UnitAddTorus.hasSum_mFourier_series_of_summable, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, hasDerivAt_iff_isLittleO_nhds_zero, inner_smul_right, SchwartzMap.tsupport_smulLeftCLM_subset, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, HasFDerivWithinAt.continuousMultilinear_apply_const, cfcₙHom_real_eq_restrict, CFC.abs_algebraMap_nnreal, EuclideanSpace.ofLp_single, MeasureTheory.ComplexMeasure.im_apply, PiTensorProduct.liftIsometry_comp_mapL, Function.locallyFinsuppWithin.logCounting_divisor_eq_circleAverage_sub_const, UnitAddTorus.mFourierSubalgebra_separatesPoints, HasStrictDerivAt.fun_const_smul, RCLike.nonneg_iff_exists_ofReal, HasDerivWithinAt.congr_deriv, InnerProductSpace.isSymmetric_rankOne_self, Commute.cfcHom, Real.hasDerivAt_cosh, HasFDerivAt.sin, continuousMultilinearCurryLeftEquiv_apply, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, cfc_apply_mem_elemental, HasFDerivAt.csin, Complex.hasDerivAt_sin, RCLike.ofReal_nonpos, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, AnalyticAt.exists_eq_sum_add_pow_mul, iteratedDerivWithin_comp_const_smul, range_cfcₙ_subset, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Matrix.isSymmetric_toLin_iff, CompactlySupportedContinuousMap.toNNRealLinear_apply, ContinuousLinearMap.intervalIntegral_apply, WStarAlgebra.exists_predual, MeromorphicAt.fun_mul, HasFDerivWithinAt.comp_hasDerivWithinAt, hasDerivAt_intCast, HasDerivWithinAt.inv, PiTensorProduct.liftIsometry_symm_apply, nnnorm_cfcₙHom, fderivWithin_continuousAlternatingMap_apply_apply, SchwartzMap.smulLeftCLM_neg, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, InnerProductSpace.Core.inner_mul_symm_re_eq_norm, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, NormedField.completeSpace_iff_isComplete_closedBall, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, CFC.nnnorm_rpow, FormalMultilinearSeries.leftInv_comp, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, HasFPowerSeriesAt.const_smul, iteratedFDeriv_succ_eq_comp_right, ContinuousOn.cfcₙ, RCLike.inv_pos_of_pos, derivWithin_comp, ContinuousMultilinearMap.changeOriginSeries_support, CFC.nnrpow_le_nnrpow, ContDiffMapSupportedIn.seminorm_apply, OrthogonalFamily.eq_ite, Complex.hasStrictDerivAt_exp, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, signedDist_smul_of_neg, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, HasStrictDerivAt.const_cpow, DoubleCentralizer.algebraMap_fst, hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, deriv_clm_comp, ContinuousLinearMap.adjoint_toSpanSingleton, IsStarNormal.instContinuousFunctionalCalculus, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, ContDiffMapSupportedIn.structureMapCLM_top_apply, tsum_prod_pow_eq_tsum_sigma, WeakDual.metrizable_of_isCompact, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Real.hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, fderiv_norm_smul, spectrum.hasFDerivAt_resolvent, PadicComplex.coe_zero, HasFDerivAt.hasFDerivAt_norm_smul, CStarAlgebra.isStrictlyPositive_iff_isUnit_sqrt_and_eq_sqrt_mul_sqrt, deriv_comp_of_eq, HasFiniteFPowerSeriesOnBall.eq_partialSum', cfc_comp_norm, CFC.abs_intCast, apply_le_nnnorm_cfc_nnreal, MeromorphicOn.AnalyticOnNhd.divisor_nonneg, HasDerivAt.comp_hasDerivWithinAt, IsBoundedBilinearMap.toContinuousLinearMap_apply, HasFPowerSeriesOnBall.pi, NormedSpace.isCompact_closure_of_isBounded, HasFPowerSeriesWithinOnBall.fderivWithin_eq, ContinuousMultilinearMap.piₗᵢ_symm_apply, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, Commute.cfc, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, HasFDerivWithinAt.sqrt, ContDiffMapSupportedIn.structureMapLM_top_apply, ContinuousLinearMap.ker_adjoint_comp_self, MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq, SchwartzMap.pairing_continuous_left, Matrix.ofLp_toEuclideanLin_apply, range_cfc_nnreal_eq_image_cfc_real, signedDist_vadd_right_swap, ContinuousOn.cfcₙ_of_mem_nhdsSet, HasDerivAt.const_mul, HasDerivWithinAt.congr, SchwartzMap.integralCLM_apply, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, hasDerivAt_one, HasDerivAtFilter.fun_neg, Polynomial.fourierCoeff_toAddCircle_natCast, PadicInt.limNthHom_add, fderivWithin_sqrt, RCLike.norm_sq_re_conj_add, ContinuousMap.spectrum_eq_range, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, innerSLFlip_apply, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, hasDerivAt_const_mul, HasDerivWithinAt.ccos, RCLike.sqrt_neg_I, hasLineDerivAt_iff_tendsto_slope_zero, InnerProductSpace.toContinuousLinearMap_toDualMap, MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, fderiv_continuousMultilinearMapCompContinuousLinearMap, IsSelfAdjoint.commute_cfcₙHom, HasDerivWithinAt.smul_const, Polynomial.fderivWithin_aeval, fderiv_sinh, inner_eq_ofReal_norm_sq_left_iff, contDiff_nat_iff_continuous_differentiable, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, Submodule.topologicalClosure_eq_top_iff, hasDerivAt_abs, Polynomial.fderivWithin, HasFDerivWithinAt.const_cpow, HasFiniteFPowerSeriesOnBall.add, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, Polynomial.hasDerivAt, ContinuousLinearMap.opNorm_lsmul_le, ProbabilityTheory.covarianceBilin_of_not_memLp, MultilinearMap.mkContinuousMultilinear_norm_le, tendsto_tprod_one_add_of_dominated_convergence, WeakDual.CharacterSpace.norm_le_norm_one, ContDiffMapSupportedIn.monoCLM_eq_zero, hasDerivAt_natCast, cfcL_integral, HasDerivAtFilter.fun_sub, HasDerivWithinAt.union, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, Real.hasStrictDerivAt_cos, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, HasDerivWithinAt.add_const, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, iter_deriv_inv, Matrix.frobenius_norm_mul, Matrix.star_dotProduct_gram_mulVec, ContinuousLinearMap.norm_compL_le, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.inv_def, MeromorphicOn.fun_mul, HasDerivWithinAt.congr_set, RCLike.sqrt_I, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, Matrix.PosDef.kronecker, StarAlgHom.realContinuousMapOfNNReal_injective, hasDerivWithinAt_zpow, HasFDerivWithinAt.arctan, OrthogonalFamily.range_linearIsometry, Monotone.deriv_nonneg, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, fderiv_continuousMultilinear_apply_const, HasDerivWithinAt.smul, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousLinearMap.opNNNorm_mul_flip_apply, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, HasDerivWithinAt.finset_prod, HasFDerivWithinAt.rpow, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, HasDerivWithinAt.mono, Submodule.IsOrtho.inner_eq, HasMFDerivAt.prod, fderivWithin_csin, ContinuousMultilinearMap.curryMid_apply, norm_cfc_le, HasFDerivWithinAt.comp_hasDerivAt, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, WeakDual.CharacterSpace.mem_spectrum_iff_exists, ClosedSubmodule.sInf_orthogonal, NNReal.orderIsoRpow_symm_eq, HasDerivAt.mul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, Matrix.PosSemidef.re_dotProduct_nonneg, ContMDiff.clm_postcomp, instSMulCommClass_sphere_ball_ball, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, CFC.spectrum_abs, fderivWithin_continuousAlternatingMap_apply_const, CStarAlgebra.rpow_neg_one_le_one, signedDist_vadd_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, MDifferentiableWithinAt.clm_postcomp, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, HasDerivWithinAt.const_sub, HasDerivWithinAt.const_smul, iteratedDeriv_comp_eq_sum_orderedFinpartition, RCLike.ofReal_pos, HasDerivWithinAt.hasDerivAt, ContinuousLinearMap.opNorm_mul_apply_le, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, RCLike.wInner_zero_left, deriv_pow_field, ContinuousLinearMap.orthogonal_range, HasFiniteFPowerSeriesAt.add, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', Real.instContinuousMapUniqueHom, MeromorphicOn.min_divisor_le_divisor_add, HasDerivWithinAt.rpow_const, ProbabilityTheory.covarianceBilin_apply, meromorphicOrderAt_pow, instSymmEqInnerOfNat, Polynomial.hasDerivAt_aeval, ProbabilityTheory.measure_stieltjesOfMeasurableRat_Iic, HasFDerivAt.cos, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, TestFunction.fderivCLM_apply_of_gt, Orthonormal.inner_finsupp_eq_zero, hasDerivAt_gronwallBound, hasDerivWithinAt_const_add_iff, ContinuousMap.comp_attachBound_mem_closure, ContinuousLinearMap.spectralRadius_eq_nnnorm, MeasureTheory.convolutionExistsAt_iff_integrable_swap, deriv_div, range_cfcHom_le, Continuous.cfcₙ', hasDerivAt_norm_rpow, ContinuousLinearMap.spectrum_eq, PadicInt.valuation_p_pow_mul, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, HasStrictDerivAt.fun_sub, ContinuousLinearMap.isPositive_iff, HasDerivWithinAt.star, Unitization.isUniformEmbedding_addEquiv, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, signedDist_apply_linear_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, InnerProductSpace.Core.inner_add_right, MeromorphicOn.extract_zeros_poles, Matrix.IsHermitian.cfcAux_id, ContinuousOn.cfc', HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, ContinuousLinearMap.norm_bilinearRestrictScalars, RCLike.inv_pos, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, ContinuousMap.adjoin_id_eq_span_one_add, meromorphicAt_mul_iff_of_ne_zero, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, RCLike.real_smul_ofReal, BoundedContinuousFunction.integral_add_const, cfcₙ_norm_sq_nonneg, AnalyticOnNhd.sum_divisor_le, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, AffineSubspace.signedInfDist_singleton, HasFPowerSeriesWithinOnBall.neg, PadicInt.fwdDiff_mahlerSeries, HasFDerivAt.const_rpow, ContinuousLinearMap.bilinearComp_zero_left, HasStrictDerivAt.finCons, ContinuousLinearMap.nnnorm_smulRight_apply, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, hasDerivAt_zero, SchwartzMap.fderivCLM_fourier_eq, Bundle.ContinuousRiemannianMetric.pos, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, hasSum_fourier_series_of_summable, MeromorphicOn.negPart_divisor_add_le_max, IsCoercive.continuousLinearEquivOfBilin_apply, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivWithinAt_inter', CFC.abs_of_mem_unitary, Complex.hasStrictDerivAt_cpow_const, HasDerivWithinAt.scomp_hasDerivAt, MDifferentiableOn.clm_precomp, RCLike.I_mul_re, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', PadicInt.pow_p_dvd_int_iff, deriv_comp_mul_left, hasDerivAt_neg, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, iteratedFDeriv_zero_eq_comp, HasStrictDerivAt.prodMk, hasFTaylorSeriesUpToOn_succ_iff_left, HasDerivWithinAt.mul_const, HasCompactSupport.hasDerivAt_convolution_left, Polynomial.hasStrictDerivAt, HasDerivWithinAt.cexp, Function.locallyFinsuppWithin.logCounting_mono, deriv_clm_apply, Real.hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, CFC.monotone_sqrt, HasFPowerSeriesWithinOnBall.add, Commute.cfcₙ, derivWithin_fun_pow, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, HasDerivWithinAt.Ioi_of_Ici, ContinuousLinearMap.adjointAux_inner_right, HasDerivWithinAt.Ioi_iff_Ioo, HasMFDerivWithinAt.mul, Bundle.RiemannianMetric.pos, HasStrictFDerivAt.clm_apply, ContDiffMapSupportedIn.fderivLM_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', CFC.sqrt_eq_cfc, continuousMultilinearCurryRightEquiv_symm_apply', InnerProductSpace.Core.inner_self_of_eq_zero, HasFDerivAt.arsinh, ContinuousAt.cfcₙ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, UpperHalfPlane.det_J, WeakDual.isCompact_of_bounded_of_closed, ContDiffMapSupportedIn.continuousSMul, Real.hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, BoundedContinuousFunction.add_norm_nonneg, HasDerivWithinAt.fun_add, LinearMap.isStarProjection_toContinuousLinearMap_iff, MeromorphicOn.divisor_smul, iteratedDerivWithin_eq_equiv_comp, PadicInt.instNormMulClass, nnnorm_cfcₙ_le_iff, HasDerivAt.const_add, iteratedFDerivWithin_two_apply, extDerivWithin_smul, fderiv_ccosh, ContDiffMapSupportedIn.seminorm_postcompLM_le, inner_mul_symm_re_eq_norm, DoubleCentralizer.coe_fst, Filter.Tendsto.cfc_nnreal, HasDerivAt.prodMk, HasStrictFDerivAt.cpow, IsSelfAdjoint.instContinuousFunctionalCalculus, CompactlySupportedContinuousMap.toReal_smul, fderiv_fun_mul, norm_cfcₙ_one_sub_one_add_inv_lt_one, Submodule.adjoint_orthogonalProjection, CFC.abs_eq_cfcₙ_norm, continuousOn_cfcₙ_nnreal, ContinuousMapZero.instCStarRing, iteratedDeriv_comp_add_const, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', CurveIntegrable.smul, ContinuousLinearMap.hasFDerivAt_of_bilinear, FormalMultilinearSeries.min_radius_le_radius_add, CFC.abs_sq, hasStrictDerivAt_one, ValueDistribution.logCounting_top_mul_le, HasDerivWithinAt.of_isLittleO, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, signedDist_right_lineMap, StrongDual.extendRCLike_apply, ContinuousLinearMap.closed_range_of_antilipschitz, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, 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, ContDiffMapSupportedIn.continuous_iff_comp_order_le, InnerProductSpace.inner_gramSchmidtOrthonormalBasis_eq_zero, ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', RCLike.mul_im, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, VectorFourier.fourierPowSMulRight_apply, HasDerivAt.cexp, nnnorm_cfc_lt_iff, ContinuousAlternatingMap.prodLIE_apply, Submodule.mem_orthogonal_singleton_iff_inner_left, ValueDistribution.logCounting_pow_zero, hasDerivAt_pow, Submodule.mem_adjoint_iff, inner_eq_zero_symm, ftaylorSeries_zero, Function.FactorizedRational.extractFactor, integrableOn_mul_sum_Icc, PadicInt.mahlerEquiv_apply, Polynomial.div_tendsto_atTop_zero_of_degree_lt, Orthonormal.orthogonalFamily, HasDerivAt.rpow_const, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, HasDerivWithinAt.prodMk, continuousOn_integral_bilinear_of_locally_integrable_of_compact_support, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, FormalMultilinearSeries.radius_compContinuousLinearMap_le, hasDerivWithinAt_derivWithin_iff, hasDerivAt_sub_const_iff, limit_zero_of_norm_tendsto_zero, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, logDeriv_const_mul, HasDerivAt.div, IsConformalMap.smul, isCoveringMap_npow, Irreducible.maximalIdeal_eq_closedBall, HasDerivWithinAt.pow, Complex.instContinuousMapUniqueHom, Real.hasStrictDerivAt_sqrt, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular, PadicInt.norm_add_eq_max_of_ne, Complex.hasDerivAt_Gamma_one, BumpCovering.exists_finset_toPOUFun_eventuallyEq, FormalMultilinearSeries.derivSeries_eq_zero, HilbertBasis.summable_inner_mul_inner, TestFunction.lineDerivCLM_smul, Polynomial.div_tendsto_zero_of_degree_lt, ContinuousLinearMap.isPositive_iff', ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, EisensteinSeries.vecMulSL_gcd, Real.hasDerivAt_tan_of_mem_Ioo, ContinuousLinearMap.star_eq_adjoint, FormalMultilinearSeries.comp_rightInv, ContinuousMultilinearMap.curryLeft_apply, iteratedDeriv_comp_three, HasStrictDerivAt.fun_neg, Polynomial.hasFDerivWithinAt_aeval, HasFPowerSeriesWithinAt.neg, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one, CStarAlgebra.isStrictlyPositive_TFAE, continuousOn_cfcₙ_setProd, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, fderiv_sqrt, derivWithin_comp_add_const, hasStrictDerivAt_inv, RCLike.wInner_one_const_left, logDeriv_fun_zpow, AlternatingMap.mkContinuousLinear_norm_le, fun_meromorphicOrderAt_mul, ProperCone.hyperplane_separation_of_notMem, HasStrictDerivAt.ccosh, RCLike.ofReal_mul_neg_iff, Unitization.complex_cfcₙ_eq_cfc_inr, fderiv_clm_apply, ContinuousAlternatingMap.curryLeftLI_apply, LDL.diag_eq_lowerInv_conj, deriv_comp_const_add, iteratedDerivWithin_id, HasDerivAt.iterate, RCLike.norm_sq_re_add_conj, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, ContinuousLinearMap.norm_compSL_le, TestFunction.monoCLM_apply, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffMapSupportedIn.withSeminorms, MeasureTheory.withDensityᵥ_smul, CStarAlgebra.norm_negPart_le, cfcₙ_nnreal_eq_real, deriv_inner_apply, CFC.sqrt_algebraMap, innerSL_apply, CFC.posPart_algebraMap, hasStrictFDerivAt_list_prod, CFC.sqrt_one, CFC.log_le_log, Summable.hasProdLocallyUniformlyOn_nat_one_add, InnerProductSpace.isIdempotentElem_rankOne_self_iff, HasDerivAt.tendsto_slope_zero, fderivWithin_continuousLinearEquiv_comp, hasDerivAtFilter_pi, StrongDual.toLp_apply, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, Function.locallyFinsuppWithin.logCounting_le, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, CFC.nnrpow_eq_cfcₙ_real, hasDerivAtFilter_const_add_iff, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, InnerProductSpaceable.innerProp, instSMulCommClass_closedBall_closedBall_ball, LeftInvariantDerivation.coe_zero, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, ProbabilityTheory.measure_condCDF_Iic, polynomialFunctions.topologicalClosure, FormalMultilinearSeries.changeOrigin_eval, Unitization.nndist_inr, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, iter_deriv_inv_linear_sub, IsSelfAdjoint.adjoint_conj, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero, HasDerivAt.inner, HasFPowerSeriesAt.prod, hasStrictDerivAt_natCast, Complex.hasDerivAt_Gamma_one_half, SimpleGraph.lapMatrix_mulVec_eq_zero_iff_forall_reachable, ProbabilityTheory.measurable_measure_condCDF, CFC.sqrt_le_sqrt, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, MeasureTheory.lpNorm_natCast_mul, AlternatingMap.mkContinuousAlternating_norm_le_max, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, norm_apply_le_norm_cfc, hasDerivAt_finCons', HasStrictDerivAt.hasDerivAt, AffineSubspace.signedInfDist_def, isScalarTower_sphere_ball_ball, iteratedDeriv_id, HasFPowerSeriesWithinAt.add, meromorphicOrderAt_zpow, ContDiffMapSupportedIn.fderivCLM_apply_of_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, cfc_re_id, CFC.negPart_def, Profinite.NobelingProof.CC_comp_zero, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, RCLike.mul_re, hasStrictDerivAt_exp_zero_of_radius_pos, LinearMap.isPositive_iff, ProbabilityTheory.instIsProbabilityMeasure_stieltjesOfMeasurableRat, HasStrictFDerivAt.continuousAlternatingMap_apply_const, integrable_cfc, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, UnitAddTorus.span_mFourier_closure_eq_top, signedDist_lineMap_right, ContinuousLinearMap.norm_smulRightL_le, MeasureTheory.withDensityᵥ_smul', analyticOrderAt_mul_eq_top_of_left, hasDerivAtFilter_const, SchwartzMap.tsupport_derivCLM_subset, CFC.sqrt_rpow_nnreal, RCLike.normSq_zero, hasDerivAt_single, WeakDual.Complex.instStarHomClass, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, nnnorm_cfc_nnreal_lt_iff, orthonormal_iff_ite, RCLike.wInner_add_left, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, fderivWithin_mul_const, CompactlySupportedContinuousMap.nnrealPart_smul_pos, ContinuousMap.polynomial_comp_attachBound, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, RCLike.neg_iff_exists_ofReal, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_div, InnerProductSpace.Core.inner_add_add_self, norm_cfcHom, RCLike.to_complex_nonneg_iff, RCLike.sqrt_zero, ContinuousLinearMap.le_of_opNorm₂_le_of_le, ContinuousMultilinearMap.currySum_apply, tendsto_sum_mul_atTop_nhds_one_sub_integral, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, signedDist_apply, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, Matrix.IsHermitian.star_mul_self_mul_eq_diagonal, WeakDual.CharacterSpace.equivAlgHom_coe, Valued.toNormedField.setOf_mem_integer_eq_closedBall, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, TestFunction.instLineDerivSMulTopENat, EuclideanSpace.inner_toLp_toLp, cfcₙ_realPart, cfc_real_eq_complex, CFC.norm_rpow, RCLike.im_ofReal_mul, ContinuousMap.toNNReal_neg_one, Matrix.l2_opNNNorm_diagonal, MeromorphicOn.negPart_divisor_add_le_add, HasFiniteFPowerSeriesOnBall.hasFDerivAt, HasFDerivAt.hasGradientAt, hasStrictDerivAt_zero, HasStrictFDerivAt.sin, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, ContinuousAlternatingMap.alternatizeUncurryFin_add, Complex.hasDerivAt_tan, Matrix.instCStarRing, RCLike.normSq_eq_zero, signedDist_eq_dist_iff_vsub_mem_span, HasDerivAtFilter.finCons, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, HasFDerivWithinAt.const_rpow, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, ContDiffMapSupportedIn.fderivCLM_apply, hasStrictDerivAt_exp_smul_const_of_mem_ball', Unitization.antilipschitzWith_addEquiv, ContinuousLinearMap.extendTo𝕜'_apply, TestFunction.fderivCLM_apply, fderivWithin_cosh, ContinuousLinearMap.isAdjointPair_inner, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, VectorFourier.norm_fourierPowSMulRight_le, RCLike.instPosMulReflectLE, SchwartzMap.fourierMultiplierCLM_fourierMultiplierCLM_apply, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, UnitAddTorus.mFourier_single, Real.hasFDerivAt_fourierChar_neg_bilinear_right, ProbabilityTheory.IsMeasurableRatCDF.measurable_measure_stieltjesFunction, Padic.norm_rat_le_one_iff_padicValuation_le_one, Unitization.splitMul_injective, ProbabilityTheory.measure_condCDF_univ, Antitone.deriv_nonpos, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContDiffMapSupportedIn.continuous_iff_comp, MonotoneOn.nnnorm_cfc, VectorFourier.norm_fourierSMulRight, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, ContinuousLinearEquiv.coord_norm', deriv_fun_pow, fderivWithin_continuousAlternatingMap_apply, HasDerivAt.fun_inv, cfc_setIntegral', iteratedDerivWithin_comp_eq_sum_orderedFinpartition, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, cfcₙ_setIntegral', analyticOrderNatAt_mul, hasStrictFDerivAt_inv', ContinuousOn.cfcₙ_nnreal, hasDerivAt_mul_const, HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, SchwartzMap.smulLeftCLM_apply_apply, cfcₙ_apply_mem_elemental, HasStrictDerivAt.add_const, Matrix.IsHermitian.eigenvalues_eq_zero_iff, CFC.posPart_def, iteratedDeriv_fun_pow_zero, CFC.nnrpow_eq_rpow, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, LinearMap.dualEmbedding_injective_of_separatingRight, Complex.hasStrictFDerivAt_log_real, iteratedFDeriv_two_apply, Real.hasStrictDerivAt_tan, WeakDual.isSeqCompact_of_isBounded_of_isClosed, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, RCLike.wInner_cWeight_const_right, HasStrictFDerivAt.mul, iter_deriv_inv_linear, sum_mul_eq_sub_sub_integral_mul', Irreducible.maximalIdeal_pow_eq_closedBall_pow, Summable.hasProdUniformlyOn_one_add, WeakDual.toStrongDual_apply, HasDerivWithinAt.cpow_const, ContinuousMap.elemental_id_eq_top, meromorphicNFAt_mul_iff_right, MDifferentiable.clm_precomp, Real.differentiable_fourierChar_neg_bilinear_left, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ContDiffMapSupportedIn.fderivLM_apply_of_le, IsSelfAdjoint.commute_cfcₙ, FormalMultilinearSeries.le_radius_pi, Real.hasDerivAt_arctan, continuousMultilinearCurryLeftEquiv_symm_apply, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, WithLp.unitization_mul, hasDerivAt_exp_smul_const', DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, HasStrictDerivAt.finset_prod, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, polynomialFunctions_closure_eq_top', norm_apply_le_norm_cfcₙ, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, fderiv_csinh, Complex.im_eq_zero_iff_isSelfAdjoint, meromorphicOrderAt_of_not_meromorphicAt, iteratedFDeriv_succ_eq_comp_left, ContinuousMapZero.toNNReal_neg_smul, AddChar.wInner_cWeight_eq_boole, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, MeromorphicOn.AnalyticOnNhd.divisor_apply, continuousOn_cfc_nnreal_setProd, PadicInt.limNthHom_mul, ContDiffMapSupportedIn.fderivLM_apply_of_gt, HasDerivAt.hasDerivAtFilter, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, ContinuousMap.polynomial_comp_attachBound_mem, range_cfcHom, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, RCLike.re_ofReal_mul, HasFDerivAt.sqrt, ClosedSubmodule.orthogonal_closure, EisensteinSeries.eisSummand_SL2_apply, meromorphicOrderAt_const_intCast, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, CFC.abs_one, InnerProductSpace.add_left, ContDiffMapSupportedIn.structureMapCLM_zero_injective, EuclideanSpace.inner_single_right, sum_mul_eq_sub_integral_mul, ContinuousMultilinearMap.piₗᵢ_apply, nnnorm_cfcHom, Module.Basis.opNNNorm_le, integrableOn_cfc, ContMDiffWithinAt.clm_precomp, Real.deriv_arcsin_aux, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, continuousOn_cfc, HasDerivAtFilter.comp, HasFDerivWithinAt.finset_prod, continuousMultilinearCurryFin1_symm_apply, HasStrictDerivAt.fun_add, FormalMultilinearSeries.radius_pi_le, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, RCLike.normSq_add, PadicInt.mahlerEquiv_symm_apply, ContinuousLinearMap.lsmul_flip_apply, Asymptotics.IsEquivalent.listProd, MeromorphicOn.mul, hasDerivAt_iff_tendsto, setIntegral_re_add_im, Function.locallyFinsuppWithin.one_isLittleO_logCounting_single, SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, ContDiffAt.differentiableAt_iteratedFDeriv, MeromorphicNFAt.meromorphicOrderAt_eq_zero_iff, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, HasStrictFDerivAt.cosh, ContDiffOn.smulRight, Polynomial.toAddCircle_X_eq_fourier_one, Real.hasStrictDerivAt_const_rpow, HasStrictDerivAt.cos, ContinuousLinearMap.norm_adjoint_comp_self, spectrum.hasDerivAt_resolvent_const_right, hasDerivWithinAt_intCast, ContMDiff.clm_precomp, fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, ContinuousMultilinearMap.norm_smulRight, LSeries_hasDerivAt, instSMulCommClass_sphere_closedBall_ball, ContinuousMap.toNNReal_add_add_neg_add_neg_eq, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, ContinuousLinearMap.hasDerivWithinAt, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, FormalMultilinearSeries.derivSeries_apply_diag, derivWithin_comp_const_add, HasDerivAt.conj_conj, prod_vanishing_of_summable_norm, Matrix.l2_opNNNorm_conjTranspose_mul_self, NumberField.canonicalEmbedding_eq_basisMatrix_mulVec, ContinuousMapZero.toNNReal_smul, fderiv_comp_smul, ContinuousLinearMap.opNorm_lsmul, isCoveringMapOn_zpow, ProbabilityTheory.covarianceBilinDual_of_not_memLp, FormalMultilinearSeries.norm_changeOriginSeriesTerm, fderivWithin_arctan, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, Unitization.uniformity_eq_aux, isScalarTower_closedBall_closedBall_ball, HasGradientAt.hasDerivAt, hasDerivAt_exp_zero, HasFTaylorSeriesUpTo.zero_eq', MeasureTheory.charFun_map_eq_charFunDual_smul, ProbabilityTheory.gaussianPDFReal_mul, InnerProductSpace.continuousLinearMapOfBilin_apply, NormedSpace.double_dual_bound, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, CStarAlgebra.toStarModule, PointwiseConvergenceCLM.withSeminorms, MeasureTheory.convolution_eq_swap, CFC.isUnit_nnrpow_iff, Module.Basis.opNorm_le, UniformCauchySeqOnFilter.one_smulRight, Real.zero_at_infty_vector_fourierIntegral, hasDerivAt_const_add_iff, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, HasFPowerSeriesWithinOnBall.tendsto_partialSum, RCLike.conj_eq_re_sub_im, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, fderiv_csin, MeromorphicOn.divisor_def, PadicInt.limNthHom_zero, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, inner_matrix_row_row, HasFTaylorSeriesUpTo.fderiv, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, UpperHalfPlane.neg_smul, Int.padicValuation_le_one, ContinuousMap.idealOf_compl_singleton_isMaximal, fderiv_cosh, HasStrictFDerivAt.fun_mul, ContinuousLinearMap.norm_holderL_le, NormedSpace.exp_add_of_mem_ball, hasFDerivWithinAt_pow, logDeriv_mul_const, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, hasDerivWithinAt_inv, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Unitization.lipschitzWith_addEquiv, hasStrictDerivAt_id, cfcₙL_integrable, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, TemperedDistribution.derivCLM_apply_apply, Complex.hasDerivAt_exp, OpenPartialHomeomorph.hasStrictDerivAt_symm, HasStrictFDerivAt.sinh, ContinuousMap.exists_mem_subalgebra_near_continuous_of_separatesPoints, abs_signedDist_le_dist, HasFDerivAt.cpow, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, Real.hasStrictFDerivAt_rpow_of_neg, LinearMap.hasDerivAt, Real.hasStrictDerivAt_rpow_const, Matrix.instStarOrderedRing, LinearMap.hasDerivAtFilter, IsStarNormal.instIsometricContinuousFunctionalCalculus, HasFiniteFPowerSeriesOnBall.fderiv_eq, PreInnerProductSpace.Core.add_left, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, analyticOrderAt_mul_eq_top_of_right, PadicInt.unitCoeff_spec, Complex.hasDerivAt_log_sub_logTaylor, TestFunction.lineDerivCLM_apply_of_gt, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, PadicInt.norm_natCast_zmodRepr_eq_iff, ProbabilityTheory.IsGaussian.charFunDual_eq', HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, HasDerivWithinAt.comp_hasDerivAt, inner_sub_sub_self, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, isBoundedLinearMap_continuousMultilinearMap_comp_linear, ContinuousAt.cfc_nnreal, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, RealRMK.le_rieszMeasure_tsupport_subset, innerSL_apply_coe, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, hasDerivAt_exp_of_mem_ball, hasStrictDerivAt_exp_smul_const_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, HasDerivWithinAt.fun_sum, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Real.hasDerivAt_Gamma_nat, ordinaryHypergeometricSeries_norm_div_succ_norm, Matrix.IsHermitian.conjStarAlgAut_star_eigenvectorUnitary, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, hasDerivAt_pi, ContinuousWithinAt.cfc, HasStrictDerivAt.hasStrictFDerivAt_equiv, MeasureTheory.ContinuousMap.inner_toLp, HasDerivAt.of_notMem_tsupport, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, hasFDerivAt_inv', LinearMap.toMatrix_adjoint, HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, hasDerivWithinAt_finCons, HasDerivAt.const_cpow, WeakDual.CharacterSpace.exists_apply_eq_zero, HasFDerivAt.cosh, exists_continuousLinearEquiv_fderiv_symm_eq, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, Complex.hasDerivAt_log, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, hasDerivAt_zpow, HasDerivAt.sin, MeasureTheory.AEStronglyMeasurable.convolution_integrand', WeakDual.CharacterSpace.compContinuousMap_id, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, instSMulCommClass_sphere_sphere_closedBall, ContDiffOn.differentiableOn_iteratedFDerivWithin, EuclideanSpace.single_eq_zero_iff, differentiableAt_iff_comp_const_add, Matrix.IsHermitian.mulVec_eigenvectorBasis, ValueDistribution.log_counting_zero_sub_logCounting_top, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', Matrix.l2_opNorm_def, signedDist_apply_linear, Asymptotics.IsTheta.mul, HasFiniteFPowerSeriesOnBall.sub, RCLike.wInner_nonneg, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Bundle.RiemannianMetric.continuousAt, nnnorm_cfcₙ_le, Asymptotics.isTheta_const_mul_left, LinearMap.IsSymmetric.toMatrix_eigenvectorBasis, integral_re_add_im, HasStrictDerivAt.neg, ContinuousLinearMap.holderL_apply_apply, FormalMultilinearSeries.comp_rightInv_aux2, Real.hasDerivAt_sinh, Polynomial.toAddCircle_C_eq_smul_fourier_zero, isConformalMap_const_smul, Matrix.l2_opNorm_mul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, Subalgebra.SeparatesPoints.rclike_to_real, norm_innerSL_le, polynomialFunctions_closure_eq_top, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Complex.hasDerivWithinAt_sqrt, HasStrictFDerivAt.csinh, ContMDiffWithinAt.cle_arrowCongr, HasFDerivWithinAt.cos, ContinuousWithinAt.cfc_nnreal, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, WeakDual.isClosed_image_coe_of_bounded_of_closed, continuousMultilinearCurryRightEquiv_apply, 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, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, nnnorm_cfcₙ_nnreal_le, CFC.sqrt_eq_real_sqrt, orthonormal_vecCons_iff, ContinuousAlternatingMap.prodLIE_symm_apply, DifferentiableOn.hasDerivAt, Summable.multipliableUniformlyOn_nat_one_add, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, apply_le_nnnorm_cfcₙ_nnreal, ProbabilityTheory.covarianceBilinDual_of_not_memLp', SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, fderivWithin_comp_smul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, instSMulCommClass_closedBall_closedBall_closedBall, ContinuousLinearMap.flipₗᵢ_symm, HasFPowerSeriesAt.compContinuousLinearMap, continuousOn_cfcₙ_nnreal_setProd, cfcHom_eq_of_isStarNormal, fderivWithin_clm_apply, exists_continuousLinearEquiv_fderivWithin_symm_eq, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, hasDerivAt_of_tendsto_locally_uniformly_on', MeromorphicAt.meromorphicTrailingCoeffAt_mul, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, FormalMultilinearSeries.rightInv_coeff_one, hasFDerivAt_exp, EuclideanSpace.single_apply, fderiv_continuousAlternatingMap_apply_const_apply, Polynomial.hasDerivWithinAt, Matrix.PosDef.det_pos, ZSpan.mem_fundamentalDomain, differentiableAt_iff_comp_sub_const, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, CFC.real_exp_eq_normedSpace_exp, CFC.norm_sqrt, MeromorphicOn.divisor_mul, CFC.continuousOn_rpow, ContinuousLinearMap.norm_holder_apply_apply_le, HasDerivWithinAt.log, WithLp.unitization_norm_inr, hasDerivAt_conj_conj_iff, range_cfc, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, constFormalMultilinearSeries_apply_succ, Polynomial.fourierCoeff_toAddCircle, signedDist_left_lineMap, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, RCLike.wInner_add_right, hasFDerivAt_inv, HasStrictFDerivAt.clm_comp, MonotoneOn.nnnorm_cfcₙ, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.fpowerSeries_apply_one, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, derivWithin_pow, BoundedContinuousFunction.char_add_eq_mul, constFormalMultilinearSeries_zero, HasStrictFDerivAt.continuousMultilinearMap_apply, ValueDistribution.logCounting_inv, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, Real.hasDerivWithinAt_arccos_Iic, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, LinearIsometryEquiv.toContinuousLinearEquiv_smul, ContinuousLinearMap.opNNNorm_mul_apply, fderivInnerCLM_apply, ContinuousMultilinearMap.curryFinFinset_apply, ContDiffAt.smulRight, NormedField.nhdsWithin_isUnit_neBot, TestFunction.injective_toBoundedContinuousFunctionCLM, FormalMultilinearSeries.changeOriginSeriesTerm_bound, HasDerivWithinAt.sum, spectrum.subset_circle_of_unitary, spectrum.subset_closedBall_norm, RCLike.I_mul_I_of_nonzero, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, summable_mul_of_bigO_atTop', VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, CFC.nnnorm_nnrpow, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, Function.locallyFinsuppWithin.logCounting_even, HasFTaylorSeriesUpToOn.restrictScalars, HasDerivAtFilter.neg, ContinuousLinearMap.apply_apply, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, Real.fourierIntegral_continuousMultilinearMap_apply', ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, HasGradientAtFilter.hasDerivAtFilter, instSMulCommClass_sphere_sphere_ball, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, fderivWithin_restrictScalars_comp, hasDerivAt_exp_smul_const_of_mem_ball, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, Matrix.PosDef.posDef_sqrt, norm_cfcₙ_le_iff, derivWithin_clm_apply, ContinuousMap.idealOfSet_ofIdeal_eq_closure, Real.hasStrictDerivAt_exp, continuousFunctionalCalculus_map_id, CFC.norm_nnrpow, WithLp.unitization_isometry_inr, HasStrictDerivAt.congr_of_eventuallyEq, CFC.conjugate_rpow_neg_one_half, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, HasCompactSupport.convolution_integrand_bound_right, isBigO_norm_restrict_cocompact, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, Complex.hasStrictDerivAt_sqrt, HasDerivAt.comp_semilinear, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, HasDerivAt.comp_sub_const, QuotientGroup.integral_mul_eq_integral_automorphize_mul, Commute.cfcₙ_real, ContMDiffAt.cle_arrowCongr, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, HasFDerivAt.clm_comp, ContinuousLinearMap.adjoint_innerSL_apply, HasFDerivAt.rpow, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, ContDiffMapSupportedIn.structureMapLM_apply, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, HasDerivWithinAt.iterate, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, RCLike.normSq_sub, isBoundedLinearMap_prod_multilinear, fderivWithin_fun_mul, Orthonormal.inner_sum, HasCompactSupport.convolution_integrand_bound_right_of_subset, intervalIntegral.integral_mul_const, CFC.complex_exp_eq_normedSpace_exp, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, HasStrictDerivAt_ofNat, le_iff_norm_sqrt_mul_rpow, HasFiniteFPowerSeriesAt.comp, ContinuousMap.idealOfSet_isMaximal_iff, RCLike.sqrt_neg_of_nonneg, hasDerivWithinAt_iff_tendsto, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, Unitary.path_apply, ContDiffAt.hasStrictDerivAt', RCLike.realLinearIsometryEquiv_apply, InnerProductSpace.Core.inner_zero_left, Unitary.spectrum_subset_circle, HasDerivAt.star_conj, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, hasDerivAt_finCons, inner_eq_ofReal_norm_sq_right_iff, HasFDerivWithinAt.sin, cfcₙ_complex_eq_real, SchwartzMap.smulLeftCLM_smul, DoubleCentralizer.coe_snd, ContinuousLinearMap.opNorm_le_bound₂, hasFPowerSeriesAt_iff, HasStrictFDerivAt.exp, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.integral_convolution, fderiv_norm_sq_apply, IsSelfAdjoint.commute_cfc, fderiv_sin, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, OrthonormalBasis.tensorProduct_repr_tmul_apply, ContinuousMultilinearMap.norm_curryMid, cfc_setIntegral, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, hasDerivAt_of_tendstoUniformlyOnFilter, Submodule.starProjection_tendsto_closure_iSup, hasFDerivAt_exp_of_mem_ball, NormedSpace.dual_def, HasDerivAt.inv, CompactlySupportedContinuousMap.exists_add_nnrealPart_add_eq, MeasureTheory.integral_mul_const, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, ContinuousMap.idealOpensGI_choice, HasMFDerivAt.const_smul, WeakDual.CharacterSpace.instStarHomClass, HasDerivAtFilter.fun_sum, Int.Matrix.exists_ne_zero_int_vec_norm_le, HasStrictDerivAt.sqrt, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, HasStrictDerivAt.ccos, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', Unitization.norm_inr, PadicInt.zmodRepr_eq_zero_iff_dvd, norm_cfc_lt, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, inner_vsub_left_eq_zero_symm, Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, hasDerivAt_abs_pos, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, ContMDiff.cle_arrowCongr, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, SimpleGraph.lapMatrix_mulVec_eq_zero_iff_forall_adj, inner_smul_left, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, Unitization.continuous_inr, fun_meromorphicOrderAt_pow, cfc_integral', MeromorphicAt.meromorphicOrderAt_comp, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, fderivWithin_mul, HasDerivWithinAt.fun_inv, Bundle.ContinuousRiemannianMetric.isVonNBounded, HasDerivWithinAt.finCons, HasStrictDerivAt.clm_apply, TemperedDistribution.smulLeftCLM_apply_apply, HasDerivAt.congr_deriv, CFC.rpow_eq_cfc_real, HasDerivAt.tendsto_slope_zero_right, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, fderiv_inner_apply, ContinuousLinearMap.hasDerivAt_of_bilinear, inner_matrix_col_col, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, HasFDerivAt.comp_hasDerivAt_of_eq, Real.hasStrictDerivAt_log_of_pos, HasFDerivWithinAt.fun_mul, ValueDistribution.logCounting_mul_zero_le, RCLike.div_I, OrthonormalBasis.inner_eq_ite, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, HasDerivAtFilter.const_sub, ContinuousLinearMap.orthogonal_ker, AnalyticAt.hasStrictDerivAt, ProbabilityTheory.IsCondKernelCDF.toKernel_apply, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, Rat.padicValuation_le_one_iff, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, Continuous.cfcₙ_nnreal', Filter.EventuallyEq.hasDerivWithinAt_iff, ProbabilityTheory.instIsProbabilityMeasurecdf, InnerProductSpace.norm_rankOne, ProbabilityTheory.IndepFun.integral_mul_eq_mul_integral, cfc_mem, Asymptotics.IsTheta.const_mul_right, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, hasFDerivAt_integral_of_dominated_loc_of_lip, PadicInt.valuation_mul, PiTensorProduct.mapLMultilinear_toFun_apply, HasFDerivWithinAt.cosh, HasStrictDerivAt.clog, HasDerivAtFilter.fun_const_smul, CFC.isUnit_sqrt_iff, Matrix.PosDef.re_dotProduct_pos, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, Unitization.nnnorm_inr, MeasureTheory.SignedMeasure.rnDeriv_add, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, Int.Matrix.exists_ne_zero_int_vec_norm_le', HasStrictFDerivAt.rpow_const, Matrix.gram_single, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, Function.locallyFinsuppWithin.toClosedBall_eval_within, NormedSpace.exp_add, polynomialFunctions.comap_compRightAlgHom_iccHomeoI, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, le_iff_norm_sqrt_mul_sqrt_inv, Orthonormal.inner_eq_zero, hasDerivWithinAt_sub_const_iff, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, HasDerivAt.cpow_const, HasFDerivAt.continuousMultilinearMap_apply, RCLike.zero_im, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, fderiv_inv', ContinuousLinearMapWOT.ext_inner_iff, cfcₙ_integral', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, Matrix.permMatrix_l2_opNorm_eq, norm_inner_div_norm_mul_norm_eq_one_iff, HasStrictDerivAt.star, tendsto_zero_geometric_tsum_pnat, CFC.rpow_sqrt, FormalMultilinearSeries.comp_assoc, HasFPowerSeriesWithinAt.comp, cfc_imaginaryPart, Real.hasDerivAt_negMulLog, continuousMultilinearCurryFin1_apply, InnerProductSpace.gramSchmidt_inv_triangular, hasStrictDerivAt_neg, hasFDerivAt_finset_prod, HilbertBasis.finite_spans_dense, nnnorm_cfcₙ_lt, RCLike.ofReal_lt_zero, HasStrictDerivAt.fun_pow, LinearIsometry.adjoint_comp_self
toNonUnitalNormedRing 📖	CompOp	1510 math math: Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, ValueDistribution.logCounting_zero, hasFDerivAt_iff_hasDerivAt, Convex.norm_image_sub_le_of_norm_derivWithin_le, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, Polynomial.differentiableWithinAt, fun_meromorphicOrderAt_pow_id_sub_const, DifferentiableOn.zpow, AnalyticAt.tendsto_mul_logDeriv_simple_zero, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, MeasureTheory.lpNorm_conj, TensorProduct.enorm_lid, topDualPairing_isContPerfPair, meromorphicNFOn_mul_iff_right_of_analyticOnNhd, differentiableAt_comp_neg, cfcₙL_integral, Matrix.frobenius_nnnorm_mul, HasMFDerivAt.mul, continuousOn_stereoToFun, LeftInvariantDerivation.lift_zero, contDiffAt_prod', norm_cfcₙHom, contDiffOn_nat_succ_iff_contDiffOn_one_iteratedDerivWithin, RCLike.map_apply, Meromorphic.mul, LinearMap.IsSymmetric.inner_map_polarization, fun_meromorphicOrderAt_div, LinearMap.coe_toSeminorm, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, PadicInt.lift_sub_val_mem_span, LinearMap.toLinearMap_tracePositiveLinearMap, LeftInvariantDerivation.leibniz, hasStrictFDerivAt_exp_of_mem_ball, hasFDerivAt_iff_hasGradientAt, RCLike.reCLM_apply, smooth_barycentric_coord, Differentiable.fun_div, Finset.analyticOnNhd_prod, InnerProductSpace.rankOne_one_left_eq_innerSL, Function.FactorizedRational.divisor, MDifferentiableAt.prod, MeromorphicAt.analyticAt, HasFDerivWithinAt.pow, ContDiff.div_const, MeromorphicOn.divisor_fun_smul, EuclideanSpace.orthonormal_single, meromorphicOrderAt_const_ofNat, Polynomial.derivWithin_aeval, AffineMap.hasDerivAtFilter, Matrix.IsHermitian.det_abs, differentiableAt_zpow, hasFDerivAt_multiset_prod, derivWithin_id', not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, smoothSheafCommRing.nonunits_stalk, MeasureTheory.convolution_mul, deriv_mem_iff, Matrix.spectrum_toEuclideanLin, MeasureTheory.lpNorm_fun_div_natCast, norm_iteratedFDerivWithin_smul_le, Matrix.cstar_nnnorm_def, Meromorphic.fun_inv, lp.inner_eq_tsum, logDeriv_comp, HasStrictDerivAt.pow, DifferentiableAt.div, OrthonormalBasis.sum_inner_mul_inner, Matrix.l2_opNorm_mulVec, ContinuousLinearMap.hasDerivAtFilter, HasDerivAtFilter.comp_hasFDerivAtFilter, MeromorphicAt.finsum, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, mdifferentiableAt_iff_localFrame_coeff, OpenPartialHomeomorph.hasDerivAt_symm, HasDerivAt.fun_finset_prod, LinearMap.polar_eq_iInter, hensels_lemma, MeasureTheory.integral_fintype_prod_volume_eq_pow, ContMDiffCovariantDerivativeOn.affine_combination, BoundedContinuousFunction.char_neg, PadicInt.appr_spec, flip_innerSL_real, Matrix.le_iff, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, continuousOn_dslope, RCLike.sub_conj, Module.Dual.extendRCLikeₗ_symm_apply, ValueDistribution.logCounting_zero_mul_le, isClosedEmbedding_cfcₙAux, deriv_comp_const_sub, LeftInvariantDerivation.coe_derivation, innerSL_apply_apply, RCLike.norm_expect_le, fderiv_multiset_prod, LinearMap.adjoint_innerₛₗ_apply, inner_sum, EuclideanSpace.inner_single_left, EuclideanSpace.basisFun_toBasis, hasDerivAt_neg', ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, iteratedDerivWithin_comp_two, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, HasFDerivAt.fun_mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, eqOn_dslope_sub_smul, Matrix.toLinearMap_tracePositiveLinearMap, MeromorphicAt.mul, LeftInvariantDerivation.left_invariant', derivWithin_fderivWithin, RCLike.wInner_sub_right, ContDiff.differentiable_deriv_two, FormalMultilinearSeries.derivSeries_coeff_one, Matrix.spectrum_toLpLin, PadicInt.sub_zmodRepr_mem, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, HasDerivAt.comp_hasFDerivAt_of_eq, MeasureTheory.integral_fintype_prod_eq_prod, derivWithin_comp_const_sub, iteratedDeriv_pow, AffineMap.hasDerivWithinAt, LeftInvariantDerivation.left_invariant, MeromorphicNFAt.meromorphicOrderAt_nonneg_iff_analyticAt, EuclideanSpace.basisFun_apply, meromorphicOrderAt_mul, HasStrictDerivAt.of_local_left_inverse, CPolynomialOn.iterated_deriv, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, hasDerivWithinAt_iff_isLittleO, Differentiable.fderiv_norm_rpow, RCLike.normSq_neg, MeasureTheory.integral_const_mul, iteratedDeriv_comp_const_mul, VectorField.mlieBracket_smul_left, TensorProduct.toLinearEquiv_lidIsometry, OrthonormalBasis.toBasis_singleton, ContDiffOn.inner, AnalyticOnNhd.eval_linearMap', inner_gradientWithin_right, fderiv_fun_pow, DiffContOnCl.inv, hasStrictFDerivAt_exp_smul_const_of_mem_ball', DifferentiableAt.zpow, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.integral_div, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, UnitAddTorus.mFourierSubalgebra_closure_eq_top, mul_comm, iter_deriv_zpow', ValueDistribution.logCounting_pow_top, PadicInt.coe_sum, Matrix.exp_conj', deriv.scomp_of_eq, deriv_conj_conj, ConvexOn.univ_sSup_of_countable_affine_eq, contDiff_nat_succ_iff_contDiff_one_iteratedDeriv, RCLike.hasSum_ofReal, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, IsLocalFrameOn.coeff_apply_of_mem, OpenPartialHomeomorph.contDiffAt_symm_deriv, HasFDerivAt.finset_prod, Bundle.Trivialization.localFrame_coeff_congr, Matrix.exp_neg, Meromorphic.finsum, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, derivWithin.scomp_of_eq, polynomialFunctions.starClosure_topologicalClosure, innerₛₗ_apply_apply, hasFDerivWithinAt_inv, RCLike.ofReal_balance, iteratedDeriv_scomp_three, smoothSheafCommRing.instLocalRing_stalk, MeasureTheory.L2.inner_def, Differentiable.zpow, derivWithin.scomp, LinearMap.polar_singleton, MeromorphicOn.divisor_pow, HasDerivAt.hasGradientAt, intervalIntegral.integral_div, NormedSpace.Dual.toWeakDual_continuous, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, contMDiffOn_localFrame_coeff, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, cfcₙ_integral, differentiableAt_comp_add_const, RCLike.ofReal_comp_balance, RCLike.reCLM_norm, cfcₙ_setIntegral, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, iteratedDeriv_scomp_eq_sum_orderedFinpartition, RCLike.ofReal_sub, hasDerivAt_iff_isLittleO, DifferentiableAt.fun_finset_prod, HasDerivWithinAt.hasFDerivWithinAt, Polynomial.abs_div_tendsto_atTop_of_degree_gt, Matrix.IsHermitian.eigenvectorUnitary_col_eq, contMDiffOn_baseSet_iff_localFrame_coeff, fderiv_eq_deriv_mul, nndist_right_lineMap, ContinuousLinearMap.toSesqForm_apply_coe, MeromorphicOn.extract_zeros_poles_log, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, MeromorphicAt.inv_iff, MeasureTheory.setIntegral_prod_mul, Matrix.toEuclideanLin_apply, iteratedDerivWithin_eq_iteratedFDerivWithin, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, HasFDerivWithinAt.multiset_prod, MeasureTheory.integral_fintype_prod_eq_pow, RCLike.conjCLE_apply, ProbabilityTheory.IndepFun.integral_comp_mul_comp, summable_finset_prod_of_summable_norm, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, MeromorphicOn.divisor_natCast, RCLike.wInner_cWeight_eq_expect, PiTensorProduct.mapL_smul, RCLike.I_mul_I, DifferentiableAt.fun_div, ValueDistribution.logCounting_mul_zero_eventuallyLE, ValueDistribution.logCounting_top, LeftInvariantDerivation.lift_add, meromorphicOrderAt_ne_top_iff, ContDiffAt.inv, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, RCLike.instCStarRing, LDL.lowerInv_orthogonal, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, InnerProductSpace.Core.inner_neg_left, summable_mul_of_bigO_atTop, Meromorphic.prod, ContinuousLinearMapWOT.inducingFn_apply, entrywise_sup_norm_bound_of_unitary, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, Finsupp.sum_inner, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, LeftInvariantDerivation.lift_smul, MeromorphicOn.prod, HasDerivWithinAt.comp, PadicInt.exists_mem_range, contDiffWithinAt_euclidean, Real.fourier_iteratedFDeriv, ValueDistribution.logCounting_mul_top_eventuallyLE, HasMFDerivAt.smul, EulerProduct.eulerProduct_completely_multiplicative, HasStrictDerivAt.div, meromorphicOrderAt_mul_of_ne_zero, 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, Meromorphic.div, AntitoneOn.derivWithin_nonpos, LinearMap.extendTo𝕜'_apply, fromTangentSpace_mfderiv_smul_apply, dslope_sub_smul, hasDerivAt_id', Matrix.IsHermitian.eigenvectorUnitary_mulVec, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, MeasureTheory.convolution_lsmul, Polynomial.exists_aroots_norm_sub_lt_of_norm_coeff_sub_lt, coe_innerSL_apply, fderivWithin_finset_prod, HasDerivAt.pow, deriv_fderiv, meromorphicNFAt_mul_iff_left, Matrix.PosSemidef.det_sqrt, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, fun_meromorphicOrderAt_smul, HasDerivAt.differentiableAt, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, fun_meromorphicOrderAt_zpow, TensorProduct.lidIsometry_apply, ContinuousLinearMap.hasDerivAt, DifferentiableAt.star_conj, meromorphicNFOn_fun_prod, PadicInt.fwdDiff_tendsto_zero, EulerProduct.eulerProduct_hasProd, Module.Basis.coe_toOrthonormalBasis_repr, hasGradientAtFilter_iff_isLittleO, hasGradientAt_iff_isLittleO, contDiffOn_one_iff_derivWithin, BoundedContinuousFunction.mem_charPoly, LeftInvariantDerivation.comp_L, HasDerivAt.fun_pow, AffineMap.differentiableWithinAt, Matrix.PosSemidef.trace_eq_zero_iff, HasGradientWithinAt.differentiableWithinAt, LinearMap.trace_eq_sum_inner, MeromorphicOn.divisor_inv, ContDiffAt.div_const, MeromorphicOn.id, Module.Dual.extendRCLike_apply, HasCompactSupport.hasDerivAt_convolution_right, MeasureTheory.lpNorm_mul_natCast, hasDerivWithinAt_neg, MeromorphicOn.divisor_fun_pow, AnalyticAt.deriv, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, Matrix.gram_eq_conjTranspose_mul, contDiffOn_prod', IsLocalFrameOn.coeff_congr, LinearMap.hasStrictDerivAt, FiniteDimensional.rclike_to_real, HasDerivAtFilter.isBigO_sub_rev, HasDerivWithinAt.fun_finset_prod, differentiableOn_dslope_of_notMem, MeromorphicOn.divisor_fun_prod, RCLike.wInner_neg_right, continuousMap_mem_polynomialFunctions_closure, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, NormedSpace.inclusionInDoubleDual_norm_eq, Meromorphic.MeromorphicOn.countable_compl_analyticAt, SchwartzMap.smulLeftCLM_sum, cfcₙHom_integral, Polynomial.abs_tendsto_atTop_iff, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, EulerProduct.eulerProduct, deriv_id'', hasStrictFDerivAt_exp, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, deriv_fun_div, Function.FactorizedRational.mulSupport, PadicInt.coe_addChar_of_value_at_one, RCLike.summable_ofReal, ContinuousMapZero.integral_apply, HasDerivAt.hasFDerivAt, HasDerivAtFilter.iterate, RCLike.imLm_coe, SchwartzMap.fourierMultiplierCLM_sum, Meromorphic.zpow, sum_mul_eq_sub_integral_mul', Finset.analyticWithinAt_fun_prod, contDiffWithinAt_prod', hasFDerivAt_norm_rpow, Function.FactorizedRational.meromorphicOrderAt_eq, iteratedDeriv_fun_id_zero, MeromorphicOn.divisor_sub_const_self, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, sum_inner, iteratedDeriv_comp_sub_const, Matrix.linfty_opNNNorm_toMatrix, mdifferentiableOn_localFrame_coeff, analyticOrderAt_ne_zero, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, contDiffOn_prod, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, InnerProductSpace.Core.inner_neg_right, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, RCLike.conjCLE_coe, contDiffOn_stereoToFun, Polynomial.abs_tendsto_atTop, LeftInvariantDerivation.evalAt_coe, Matrix.IsHermitian.trace_eq_sum_eigenvalues, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, hasGradientAt_iff_isLittleO_nhds_zero, fderiv_pow, Polynomial.differentiable_aeval, meromorphicNFAt_finprod, hasDerivAt_deriv_iff, Function.FactorizedRational.finprod_eq_fun, hasDerivAtFilter_neg, tsum_pow_div_one_sub_eq_tsum_sigma, HilbertBasis.hasSum_repr, HasFDerivAt.pow, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, meromorphicOrderAt_const_natCast, Finset.analyticWithinAt_prod, innerSL_inj, continuousAt_dslope_same, hasDerivWithinAt_pow, hasDerivWithinAt_iff_hasFDerivWithinAt, differentiableAt_star_conj_iff, StrongDual.toLp_of_not_memLp, MeromorphicOn.divisor_prod, differentiableWithinAt_of_derivWithin_ne_zero, MeromorphicOn.divisor_intCast, TensorProduct.inner_lid_lid, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, NormedSpace.inclusionInDoubleDual_norm_le, AnalyticOnNhd.eval_linearMap, RCLike.rank_le_two, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, ConvexOn.sSup_of_countable_affine_eq, RCLike.reCLM_coe, HasStrictDerivAt.to_local_left_inverse, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, DifferentiableAt.inner, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, HasFDerivWithinAt.mul_const, MeromorphicOn.analyticAt_mem_codiscreteWithin, smoothSheafCommRing.isUnit_stalk_iff, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, iteratedFDerivWithin_eq_equiv_comp, EuclideanSpace.coe_proj, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, Matrix.l2_opNNNorm_mulVec, Orthonormal.inner_left_right_finset, meromorphicOrderAt_id, differentiableAt_inv_iff, Finsupp.inner_sum, LinearMap.deriv, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, HasFDerivWithinAt.inner, logDeriv_div, DifferentiableAt.conj_conj, EulerProduct.eulerProduct_tprod, Polynomial.derivWithin, fdifferential_apply, LinearMap.extendTo𝕜_apply, cfcHom_integral, MeromorphicAt.fun_pow, Matrix.l2_opNorm_conjTranspose_mul_self, MeromorphicOn.divisor_sub_const_of_ne, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, Matrix.isSymmetric_toEuclideanLin_iff, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, inner_neg_right, Orthonormal.isHilbertSum, MeromorphicOn.fun_pow, iteratedDeriv_fun_id, OrthonormalBasis.singleton_apply, inner_eq_sum_norm_sq_div_four, fderiv_pow_ring, MeromorphicOn.div, DifferentiableAt.comp_ringHom, Polynomial.abs_tendsto_atBot_iff, integral_conj, Module.Basis.coe_toOrthonormalBasis_repr_symm, LinearMap.toSeminorm_comp, meromorphicNFAt_inv, DifferentiableOn.div_const, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, ProperCone.innerDual_singleton, differentiable_inner, LeftInvariantDerivation.coe_sub, RCLike.im_eq_conj_sub, LDL.lower_conj_diag, hasFDerivAt_list_prod', ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, InnerProductSpace.rankOne_def, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, Meromorphic.countable_compl_analyticAt, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, Finset.norm_prod_one_add_sub_one_le, stereoToFun_apply, deriv_inv, PointwiseConvergenceCLM.equivWeakDual_apply, MeasureTheory.lpNorm_fun_mul_natCast, Polynomial.fderiv_aeval, dslope_sub_smul_of_ne, iteratedDerivWithin_comp_three, Module.Basis.equivFunL_symm_apply_repr, meromorphicOrderAt_pow_id_sub_const, iter_deriv_zpow, natCast_le_analyticOrderAt, VectorField.lieBracket_fmul_left, ClosedSubmodule.orthogonal_eq_inter, hasFDerivWithinAt_iff_hasDerivWithinAt, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, HasDerivAt.isBigO_sub, LeftInvariantDerivation.left_invariant'', MeasureTheory.L2.inner_indicatorConstLp_one, hasStrictFDerivAt_iff_hasStrictDerivAt, RCLike.ofReal_neg, contDiff_nat_iff_iteratedDeriv, meromorphicNFOn_fun_inv, HasDerivAtFilter.hasGradientAtFilter, ContinuousLinearMapWOT.isInducing_inducingFn, EulerProduct.eulerProduct_completely_multiplicative_tprod, summable_prod_mul_pow, RCLike.summable_conj, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, meromorphicOrderAt_inv, meromorphicOrderAt_fun_prod, CovariantDerivative.affine_combination_toFun, hasFDerivAt_exp_smul_const', fromTangentSpace_mfderiv_smul', Matrix.exp_zsmul, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, LinearMap.toMatrixOrthonormal_symm_apply, RCLike.wInner_sub_left, LinearMap.toMatrix_innerₛₗ_apply, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, PointwiseConvergenceCLM.equivWeakDual_symm_apply, RCLike.wInner_one_eq_inner, ContDiffAt.div, AffineMap.hasDerivAt, MDifferentiableOn.prod, iteratedDerivWithin_zpow, HasStrictDerivAt.fun_finset_prod, Matrix.inner_toEuclideanCLM, meromorphicOrderAt_eq_int_iff, dist_lineMap_right, MeasureTheory.lpNorm_fun_natCast_mul, AffineMap.differentiableAt, contMDiffOn_baseSet_localFrame_coeff, meromorphicNFAt_iff_analyticAt_or, Matrix.PosSemidef.toLinearMap₂'_zero_iff, RCLike.sqrt_eq_real_add_ite, extDerivFun_zero, WeakDual.isBounded_iff_isVonNBounded, hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, fromTangentSpace_mfderiv_smul_apply', ProbabilityTheory.IndepFun.integral_fun_mul_eq_mul_integral, Matrix.instNonnegSpectrumClass, ContDiffWithinAt.inv, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, innerSLFlip_apply_apply, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, finrank_euclideanSpace, hasDerivAt_inv, ConvexOn.sSup_of_nat_affine_eq, AnalyticOnNhd.aeval_mvPolynomial, ContDiffAt.derivWithin, contMDiff_smul, MeromorphicOn.divisor_ofNat, ContDiffOn.derivWithin, Function.FactorizedRational.meromorphicNFOn_univ, Orthonormal.inner_finsupp_eq_sum_right, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, meromorphicNFOn_mul_iff_left_of_analyticOnNhd, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, analyticOrderAt_mul, Module.Basis.equivFunL_apply, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, LinearMap.hasDerivWithinAt, Real.fourier_fderiv, MeromorphicOn.inv_iff, ContDiffOn.differentiableOn_iteratedDerivWithin, ContinuousMap.adjoin_id_eq_span_one_union, meromorphicTrailingCoeffAt_const, instCStarRingReal, HasFDerivWithinAt.norm_sq, ordinaryHypergeometric_radius_top_of_neg_nat₂, ContinuousLinearMapWOT.isEmbedding_inducingFn, LinearMap.tracePositiveLinearMap_apply, DifferentiableWithinAt.div_const, integral_inner, AnalyticAt.harmonicAt_conj, iteratedDerivWithin_scomp_three, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, ZSpan.coe_floor_self, Orthonormal.linearIsometryEquiv_symm_apply_single_one, Matrix.PosDef.commute_iff, AddChar.tendsto_eval_one_sub_pow, RCLike.finrank_le_two, NormedSpace.inclusionInDoubleDualWeak_apply, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, dist_homothety_self, iteratedFDeriv_eq_equiv_comp, sum_mul_eq_sub_integral_mul₀', meromorphicTrailingCoeffAt_inv, MeromorphicAt.id, Matrix.ofLp_toEuclideanCLM, HasDerivWithinAt.comp_hasDerivAt_of_eq, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, deriv_comp, NonUnitalCommCStarAlgebra.toCompleteSpace, MeromorphicOn.divisor_fun_zpow, meromorphicNFOn_inv, logDeriv_apply, iteratedDerivWithin_one_div, DifferentiableWithinAt.fun_div, ContDiffWithinAt.derivWithin, fderivWithin_fun_pow, RCLike.sqrt_map, PadicInt.mahlerTerm_one, HasStrictDerivAt.hasStrictFDerivAt, RCLike.inner_tmul_eq, deriv.scomp, AnalyticAt.analyticOrderAt_eq_natCast, HasFDerivAt.multiset_prod, extDerivFun_add, dist_self_homothety, Matrix.l2_opNNNorm_mul, IsLocalFrameOn.eventually_eq_sum_coeff_smul, HasFDerivAt.mul_const, differentiableWithinAt_euclidean, MeasureTheory.integral_prod_mul, iteratedDerivWithin_fun_id, Matrix.isPositive_toEuclideanLin_iff, padic_polynomial_dist, VectorField.mlieBracketWithin_smul_left, ContDiff.inner, HasGradientAt.differentiableAt, NormedSpace.exp_sum, Function.FactorizedRational.analyticAt, HasDerivAt.comp_hasFDerivWithinAt_of_eq, HasDerivAt.comp_const_sub, ValueDistribution.logCounting_mul_top_le, PadicInt.zmodRepr_spec, Polynomial.exists_roots_norm_sub_lt_of_norm_coeff_sub_lt, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, contDiffAt_inv, hasStrictFDerivAt_norm_sq, LinearMap.adjoint_toSpanSingleton, ContDiff.differentiable_iteratedDeriv, MeromorphicOn.divisor_fun_mul, MeromorphicOn.divisor_zpow, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, contDiffAt_prod, derivWithin_pow_field, HasDerivAtFilter.isBigO_sub, iteratedDeriv_comp_neg, Matrix.posDef_iff_eq_conjTranspose_mul_self, Polynomial.differentiableAt_aeval, HasDerivAt.fun_div, hasDerivAt_id, RCLike.hasSum_conj, deriv_update, DifferentiableWithinAt.finset_prod, ProbabilityTheory.IndepFun.integral_fun_comp_mul_comp, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, VectorField.mlieBracketWithin_smul_right, meromorphicOrderAt_div, deriv_zpow', LeftInvariantDerivation.map_add, Module.Dual.extendRCLikeₗ_apply, HasDerivWithinAt.div, meromorphicOrderAt_smul, hasFDerivAt_pow, Matrix.l2_opNNNorm_def, ValueDistribution.logCounting_top_mul_eventually_le, HasGradientAtFilter.isBigO_sub, MeromorphicOn.inv, mdifferentiableOn_baseSet_localFrame_coeff, LinearMap.polar_gc, hasDerivAt_exp, contDiffOn_succ_iff_deriv_of_isOpen, LeftInvariantDerivation.coe_add, iter_deriv_pow', cfc_integral, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, EuclideanSpace.basisFun_repr, hasStrictFDerivAt_inv, MeromorphicAt.eventually_analyticAt, MeromorphicOn.eventually_codiscreteWithin_analyticAt, ArithmeticFunction.IsMultiplicative.eulerProduct, deriv_neg'', OrthonormalBasis.equiv_apply_euclideanSpace, IsLocalFrameOn.coeff_apply_of_notMem, PadicInt.limNthHom_spec, fderiv_inv, meromorphicNFAt_fun_prod, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, contMDiffAt_localFrame_coeff, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, iteratedDeriv_eq_equiv_comp, ContDiffOn.div, ContDiff.iterate_deriv, MeromorphicOn.logDeriv, HasFDerivWithinAt.hasDerivWithinAt, hasDerivAt_iff_hasFDerivAt, ContDiffOn.fun_div, ContDiff.deriv', RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, sum_mul_eq_sub_integral_mul₁, PadicInt.continuous_addChar_of_value_at_one, norm_derivWithin_eq_norm_fderivWithin, differentiableWithinAt_dslope_of_ne, LinearMap.polar_weak_closed, hasGradientAt_iff_tendsto, AffineMap.derivWithin, Meromorphic.fun_zpow, InnerProductSpace.Core.inner_sub_sub_self, Meromorphic.fun_mul, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, fdifferential_comp, RCLike.sqrt_neg_one, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', LeftInvariantDerivation.coe_injective, Matrix.IsHermitian.eigenvectorUnitary_apply, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, fderiv_apply_one_eq_deriv, EulerProduct.eulerProduct_hasProd_mulIndicator, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, HasFDerivAt.inner, meromorphicTrailingCoeffAt_id_sub_const, LinearMap.toMatrixOrthonormal_apply, deriv_inv'', OrthogonalFamily.inner_sum, cfcₙAux_injective, MeromorphicNFAt.zpow, EuclideanSpace.inner_eq_star_dotProduct, NonUnitalCommCStarAlgebra.toStarModule, Meromorphic.pow, LeftInvariantDerivation.coe_neg, StrongDual.toLpₗ_apply, PadicInt.fwdDiff_iter_le_of_forall_le, Valued.integer.coe_span_singleton_eq_closedBall, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, Orientation.inner_mul_areaForm_sub', inner_sub_left, DifferentiableAt.of_dslope, AnalyticOnNhd.eval_polynomial, differentiableOn_neg, fderivWithin_multiset_prod, HasFDerivAt.mul, LinearMap.continuous_of_nonzero_on_open, InnerProductSpace.innerSL_norm, Submodule.det_reflection, deriv_neg', AnalyticAt.of_meromorphicOrderAt_pos, MeromorphicOn.fun_zpow, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContinuousLinearMap.extendTo𝕜_apply, CPolynomialOn.deriv, MeromorphicAt.pow, AnalyticAt.iterated_deriv, Polynomial.hasStrictDerivAt_aeval, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticOnNhd.deriv_of_isOpen, differentiableAt_iff_comp_const_sub, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, summable_norm_pow_mul_geometric_div_one_sub, ProbabilityTheory.covarianceBilin_apply_basisFun, hasGradientAt_iff_hasFDerivAt, MeromorphicOn.countable_compl_analyticAt_inter, MeromorphicOn.zpow, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, hasFDerivAt_exp_smul_const_of_mem_ball, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, Matrix.exp_conj, MeromorphicAt.prod, Orthonormal.inner_finsupp_eq_sum_left, fderiv_deriv, DifferentiableOn.finset_prod, meromorphicOrderAt_zpow_id_sub_const, ValueDistribution.logCounting_zero_mul_eventually_le, contDiffAt_inner, lp.summable_inner, spec_cfcₙAux, iteratedDerivWithin_pow, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, hasFDerivAt_exp_smul_const, Differentiable.inner, LeftInvariantDerivation.map_smul, HasDerivAt.hasFDerivAt_equiv, Polynomial.isBoundedUnder_abs_atBot_iff, analyticOrderAt_pow, fderiv_finset_prod, deriv_single, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, NumberField.HeightOneSpectrum.instFiniteAdicCompletionRingOfIntegers, Module.Basis.parallelepiped_eq_map, iteratedDeriv_comp_two, LinearMap.mem_polar_singleton, meromorphicNFOn_prod, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, RCLike.ofRealCLM_norm, Matrix.IsHermitian.eigenvectorUnitary_coe, HasStrictDerivAt.comp, Complex.sqrt_map, fromTangentSpace_mfderiv_smul, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, RCLike.im_tsum, MeasureTheory.convolution_lsmul_swap, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, HasDerivAtFilter.comp_of_eq, AnalyticAt.hasFPowerSeriesAt, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, StrongDual.toLpₗ_of_not_memLp, MeromorphicAt.meromorphicTrailingCoeffAt_smul, analyticOrderAt_id, Matrix.isHermitian_iff_isSymmetric, Matrix.PosSemidef.inv_sqrt, hasStrictFDerivAt_finset_prod, AnalyticOnNhd.deriv, instContMDiffInv₀ModelWithCornersSelf, deriv_zpow, NonUnitalCommCStarAlgebra.toCStarRing, HasDerivWithinAt.comp_hasFDerivAt, inner_eq_neg_one_iff_of_norm_eq_one, MeromorphicAt.fun_prod, derivWithin_inv', FormalMultilinearSeries.apply_eq_prod_smul_coeff, EuclideanSpace.basisFun_inner, MeromorphicNFOn.fun_zpow, DifferentiableWithinAt.div, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, differentiableAt_euclidean, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, HasFPowerSeriesOnBall.r_eq_top_of_exists, LeftInvariantDerivation.coe_smul, HasFPowerSeriesAt.deriv, DifferentiableOn.div, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, hfdifferential_apply, AnalyticAt.exists_eq_sum_add_pow_mul, MeromorphicAt.fun_mul, HasDerivWithinAt.inv, SchwartzMap.smulLeftCLM_neg, MeasureTheory.integral_fin_nat_prod_eq_prod, spectrum.differentiableOn_inverse_one_sub_smul, derivWithin_comp, LinearMap.tripolar_eq_polar, RCLike.toIsOrderedAddMonoid, AnalyticAt.analyticOrderAt_comp, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, analyticAt_comp_iff_of_deriv_ne_zero, logDeriv_inv, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, VectorField.lieBracket_smul_left, differentiableOn_euclidean, RCLike.reLm_coe, Convex.norm_image_sub_le_of_norm_deriv_le, ContinuousLinearMap.adjoint_toSpanSingleton, ContinuousLinearMap.toBilinForm_injective, tsum_prod_pow_eq_tsum_sigma, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, toSpanSingleton_derivWithin, meromorphicNFAt_prod, deriv_comp_of_eq, contDiff_prod', EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, Matrix.posSemidef_iff_eq_sum_vecMulVec, AnalyticAt.analyticOrderAt_ne_top, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, MeasureTheory.lpNorm_one, HasStrictFDerivAt.hasStrictDerivAt, EuclideanSpace.inner_basisFun_real, innerSLFlip_apply, fderivWithin_derivWithin, hasDerivAt_const_mul, RCLike.sqrt_neg_I, meromorphicNFOn_finprod, InnerProductSpace.Core.inner_sub_left, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, Polynomial.fderivWithin_aeval, norm_iteratedFDeriv_prod_le, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Finset.analyticAt_prod, Polynomial.fderivWithin, contDiffOn_of_differentiableOn_deriv, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, Function.RCLike.hasTemperateGrowth_ofReal, PadicInt.instIsAdicCompleteMaximalIdeal, Polynomial.hasDerivAt, RCLike.conj_I, contDiff_inner, Matrix.linfty_opNorm_toMatrix, cfcL_integral, innerSL_apply_norm, iter_deriv_inv, Matrix.frobenius_norm_mul, Matrix.star_dotProduct_gram_mulVec, RCLike.hasSum_iff, ContDiff.inv, MeromorphicOn.fun_mul, RCLike.sqrt_I, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, hasDerivWithinAt_zpow, Monotone.deriv_nonneg, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, derivWithin_fun_finset_prod, innerSL_real_flip, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, HasDerivWithinAt.fun_pow, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, Matrix.instIsOrderedAddMonoid, HasMFDerivAt.prod, iteratedDeriv_eq_iteratedFDeriv, iter_deriv_inv', toMatrix_innerSL_apply, Matrix.PosSemidef.re_dotProduct_nonneg, MeasureTheory.lpNorm_div_natCast, Polynomial.isBoundedUnder_abs_atTop_iff, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, Finset.analyticOn_fun_prod, Differentiable.fun_finset_prod, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, DoubleCentralizer.coe_eq_algebraMap, deriv_pow_field, HasFPowerSeriesAt.hasDerivAt, deriv_comp_neg, meromorphicOrderAt_pow, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, deriv_finset_prod, logDeriv_prod, meromorphicTrailingCoeffAt_prod, deriv_div, PadicInt.norm_sub_modPart, inner_sub_right, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, AnalyticAt.analyticAt_localInverse, Meromorphic.logDeriv, BoundedContinuousFunction.star_mem_range_charAlgHom, MeromorphicOn.extract_zeros_poles, cfcₙAux_mem_range_inr, ContinuousMap.adjoin_id_eq_span_one_add, LeftInvariantDerivation.map_neg, meromorphicAt_mul_iff_of_ne_zero, contDiffOn_of_continuousOn_differentiableOn_deriv, norm_deriv_eq_norm_fderiv, PadicInt.fwdDiff_mahlerSeries, deriv_id, MeasureTheory.L2.mem_L1_inner, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, fun_meromorphicOrderAt_zpow_id_sub_const, hasDerivAtFilter_iff_hasFDerivAtFilter, VectorField.lieBracketWithin_smul_right, ContDiffWithinAt.div, ContDiff.iterate_deriv', differentiable_neg, RCLike.wInner_neg_left, hasDerivAt_neg, LinearMap.derivWithin, inner_gradientWithin_left, HasCompactSupport.hasDerivAt_convolution_left, PadicInt.continuous_multichoose, Polynomial.hasStrictDerivAt, contDiffWithinAt_prod, derivWithin_fun_pow, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, VectorField.mpullback_mfderivWithin_apply_smul, HasMFDerivWithinAt.mul, HilbertBasis.repr_self, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, MeromorphicOn.divisor_smul, iteratedDerivWithin_eq_equiv_comp, Polynomial.differentiableAt, fderiv_fun_mul, ContDiffWithinAt.inner, ContinuousMapZero.instCStarRing, hasFDerivWithinAt_iff_hasGradientWithinAt, Polynomial.abs_tendsto_atBot, MeromorphicOn.fun_div, ValueDistribution.logCounting_top_mul_le, contMDiffAt_iff_localFrame_coeff, StrongDual.extendRCLike_apply, Polynomial.exists_monic_and_natDegree_eq_and_norm_map_algebraMap_coeff_sub_lt, HasStrictFDerivAt.multiset_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, Matrix.toEuclideanLin_apply_piLp_toLp, Matrix.linfty_opNorm_eq_opNorm, ValueDistribution.logCounting_pow_zero, RCLike.ofReal_tsum, hasDerivAt_pow, contDiff_succ_iff_deriv, Submodule.mem_adjoint_iff, PadicInt.norm_sub_zmodRepr_lt_one, MeromorphicNFOn.zpow, Function.FactorizedRational.extractFactor, integrableOn_mul_sum_Icc, PadicInt.mahlerEquiv_apply, HasDerivWithinAt.isLittleO, contDiffOn_succ_iff_derivWithin, LinearMap.isSymmetric_iff_sesqForm, hasDerivWithinAt_derivWithin_iff, hasStrictDerivAt_exp, HasDerivAt.div, HasDerivAt.continuousAt_div, Irreducible.maximalIdeal_eq_closedBall, HasDerivWithinAt.pow, LinearMap.bound_of_sphere_bound, intervalIntegral.integral_smul_const, Polynomial.deriv, HilbertBasis.summable_inner_mul_inner, HasDerivAtFilter.isEquivalent_sub, AffineMap.differentiableOn, iteratedDeriv_comp_three, Polynomial.hasFDerivWithinAt_aeval, Meromorphic.fun_prod, fourierSubalgebra_closure_eq_top, Differentiable.div_const, derivWithin_comp_add_const, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, RCLike.wInner_one_const_left, fun_meromorphicOrderAt_mul, LinearMap.continuous_of_isClosed_ker, LDL.diag_eq_lowerInv_conj, iteratedDerivWithin_id, HasDerivAt.iterate, differentiableAt_iff_comp_add_const, ContDiffOn.div_const, MeromorphicAt.zpow, LinearMap.polar_isClosed, innerₛₗ_apply, deriv_inner_apply, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, ContMDiffMap.smul_comp', hasStrictFDerivAt_list_prod, HasDerivAtFilter.hasFDerivAtFilter, Polynomial.abs_isBoundedUnder_iff, StrongDual.toLp_apply, DifferentiableWithinAt.fun_finset_prod, analyticAt_finprod, LinearMap.continuous_iff_isClosed_ker, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, polynomialFunctions.topologicalClosure, LinearMap.toSeminorm_ball_zero, iter_deriv_inv_linear_sub, MeromorphicOn.pow, RCLike.imCLM_coe, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, HasDerivAt.inner, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, LeftInvariantDerivation.toDerivation_injective, MeasureTheory.lpNorm_natCast_mul, Meromorphic.finprod, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, iteratedDeriv_id, meromorphicOrderAt_zpow, MeasureTheory.BoundedContinuousFunction.inner_toLp, AnalyticOn.hasFPowerSeriesOnBall, contDiff_of_differentiable_iteratedDeriv, MeasureTheory.integral_fintype_prod_volume_eq_prod, hasStrictDerivAt_exp_zero_of_radius_pos, differentiableAt_conj_conj_iff, MeasureTheory.convolution_mul_swap, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, MeromorphicAt.div, analyticOrderAt_mul_eq_top_of_left, analyticOrderAt_eq_zero, hasDerivAt_single, SchwartzMap.integral_smul_laplacian_right_eq_left, hasStrictDerivAt_exp_of_mem_ball, RCLike.re_le_neg_norm_iff_eq_neg_norm, OrthonormalBasis.coe_equiv_euclideanSpace, fderivWithin_mul_const, continuous_cfcₙAux, RCLike.wInner_one_eq_sum, derivWithin_finset_prod, derivWithin_div, ContDiffOn.inv, NonUnitalCommCStarAlgebra.toSMulCommClass, integral_ofReal, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral, AnalyticAt.aeval_mvPolynomial, Polynomial.differentiableWithinAt_aeval, signedDist_apply, ProbabilityTheory.iIndepFun.integral_fun_prod_eq_prod_integral, EuclideanSpace.inner_toLp_toLp, mfderiv_smul, ordinaryHypergeometric_radius_top_of_neg_nat₁, Matrix.IsHermitian.eigenvectorUnitary_transpose_apply, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, PadicInt.continuousAddCharEquiv_symm_apply, ContinuousLinearMap.extendTo𝕜'_apply, derivWithin_comp_sub_const, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, MeromorphicAt.inv, analyticOrderNatAt_pow, meromorphicOrderAt_id_sub_const, AddChar.linearIndependent, MeromorphicOn.fun_inv, Antitone.deriv_nonpos, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, differentiable_tsum', Meromorphic.inv, Polynomial.differentiable, deriv_fun_pow, HasDerivAt.fun_inv, cfc_setIntegral', iteratedDerivWithin_comp_eq_sum_orderedFinpartition, DifferentiableAt.div_const, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, cfcₙ_setIntegral', analyticOrderNatAt_mul, LinearMap.mem_span_iff_bound, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, SchwartzMap.smulLeftCLM_sub, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, derivWithin_id, iteratedDeriv_fun_pow_zero, hasStrictFDerivAt_exp_smul_const, Homeomorph.contDiff_symm_deriv, RCLike.instNormSMulClassInt, ContDiffAt.inner, RCLike.wInner_cWeight_const_right, HasStrictFDerivAt.mul, iter_deriv_inv_linear, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, MeromorphicAt.fun_zpow, DifferentiableAt.finset_prod, ContinuousMap.elemental_id_eq_top, meromorphicNFAt_mul_iff_right, DifferentiableOn.fun_div, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, dist_right_lineMap, HasStrictDerivAt.finset_prod, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, polynomialFunctions_closure_eq_top', HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, iteratedDerivWithin_scomp_two, PiLp.inner_apply, differentiableAt_of_deriv_ne_zero, EuclideanSpace.restrict₂_apply, ProbabilityTheory.iIndepFun.integral_fun_prod_comp, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, HasDerivAt.comp_hasDerivWithinAt_of_eq, meromorphicOrderAt_const_intCast, LinearMap.toSeminormFamily_apply, hasGradientWithinAt_iff_tendsto, EuclideanSpace.inner_single_right, sum_mul_eq_sub_integral_mul, Module.Basis.opNNNorm_le, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, HasDerivAtFilter.comp, HasFDerivWithinAt.finset_prod, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, Differentiable.finset_prod, MeromorphicOn.mul, hasDerivAt_iff_tendsto, ProbabilityTheory.iIndepFun.integral_prod_comp, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, sub_smul_dslope, setIntegral_re_add_im, norm_iteratedFDeriv_smul_le, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, MeasureTheory.lpNorm_one', HasDerivAt.finset_prod, Matrix.toEuclideanLin_eq_toLin_orthonormal, PadicInt.continuousAddCharEquiv_apply, MeromorphicAt.fun_div, LinearPMap.mem_adjoint_domain_iff, spectrum.hasDerivAt_resolvent_const_right, differentiableWithinAt_zpow, RCLike.intervalIntegral_ofReal, contDiffOn_infty_iff_deriv_of_isOpen, fderivWithin_pow, ContinuousMultilinearMap.norm_smulRight, LeftInvariantDerivation.commutator_apply, HasFPowerSeriesAt.has_fpower_series_dslope_fslope, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, OrthonormalBasis.coe_singleton, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, derivWithin_comp_const_add, HasDerivAt.conj_conj, AnalyticOn.eval_polynomial, prod_vanishing_of_summable_norm, Matrix.l2_opNNNorm_conjTranspose_mul_self, coe_innerₛₗ_apply, HasGradientAt.hasDerivAt, hasDerivAt_exp_zero, InnerProductSpace.continuousLinearMapOfBilin_apply, NormedSpace.double_dual_bound, instFieldContMDiffRing, hasGradientWithinAt_iff_isLittleO, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, Module.Basis.opNorm_le, MeromorphicOn.fun_prod, fun_meromorphicOrderAt_inv, UniformCauchySeqOnFilter.one_smulRight, RCLike.conj_eq_re_sub_im, MeromorphicOn.finsum, DFinsupp.inner_sum, ContDiffOn.deriv_of_isOpen, inner_matrix_row_row, HasStrictFDerivAt.fun_mul, hasFDerivWithinAt_pow, LinearMap.polar_mem_iff, hasDerivWithinAt_inv, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, hasStrictDerivAt_id, MeromorphicNFAt.fun_zpow, HasGradientAt.fderiv_apply, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, integral_re, LeftInvariantDerivation.ext_iff, MeromorphicOn.countable_compl_analyticAt, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, IsCovariantDerivativeOn.affine_combination, VectorField.lieBracket_smul_right, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, analyticOrderAt_mul_eq_top_of_right, hasStrictDerivAt_iff_hasStrictFDerivAt, HasFPowerSeriesAt.locally_zero_iff, MeromorphicNFAt.inv, inner_gradient_left, ConvexOn.exists_affine_le_of_lt, HasDerivWithinAt.comp_hasDerivAt, MeasureTheory.integral_prod_smul, inner_sub_sub_self, innerSL_apply_coe, hasDerivAt_exp_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, mdifferentiableAt_localFrame_coeff, HasStrictFDerivAt.inner, HasStrictDerivAt.hasStrictFDerivAt_equiv, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, derivWithin_fun_inv', Meromorphic.fun_div, Meromorphic.fun_pow, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, differentiableAt_dslope_of_ne, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, hasDerivAt_zpow, sum_mul_eq_sub_integral_mul₀, EuclideanSpace.single_eq_zero_iff, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, Matrix.IsHermitian.mulVec_eigenvectorBasis, ValueDistribution.log_counting_zero_sub_logCounting_top, Matrix.l2_opNorm_def, Matrix.toEuclideanLin_toLp, integral_re_add_im, ZSpan.coe_fract_self, LeftInvariantDerivation.toFun_eq_coe, Matrix.l2_opNorm_mul, norm_innerSL_le, polynomialFunctions_closure_eq_top, BoundedContinuousFunction.separatesPoints_charPoly, meromorphicOrderAt_prod, AffineMap.deriv, contDiffOn_infty_iff_derivWithin, SchwartzMap.integral_smul_deriv_right_eq_neg_left, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', PadicInt.instIsAddTorsionFree, AnalyticOnNhd.iterated_deriv, contDiffOn_iff_continuousOn_differentiableOn_deriv, MeromorphicAt.meromorphicTrailingCoeffAt_mul, HasGradientWithinAt.hasFDerivWithinAt, ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhd, hasFDerivAt_exp, RCLike.hasSum_conj', MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, differentiableAt_iff_comp_sub_const, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, LinearMap.polar_mem, MeromorphicOn.divisor_mul, LinearMap.isAdjointPair_inner, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, fderivWithin_pow_ring, hasFDerivAt_inv, DifferentiableWithinAt.inner, MeromorphicAt.meromorphicTrailingCoeffAt_zpow, ContinuousLinearMap.smulRightL_apply_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, HasDerivAtFilter.isTheta_sub, ValueDistribution.logCounting_inv, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, fderivInnerCLM_apply, ConvexOn.sSup_affine_eq, MeromorphicAt.fun_inv, nndist_self_homothety, RCLike.I_mul_I_of_nonzero, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, summable_mul_of_bigO_atTop', RCLike.span_one_I, HasGradientAtFilter.hasDerivAtFilter, hasFPowerSeriesAt_iff', MDifferentiable.prod, MeasureTheory.eLpNorm_conj, inner_gradient_right, DFinsupp.sum_inner, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, Matrix.PosDef.posDef_sqrt, differentiableAt_comp_sub_const, smooth_functions_tower, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, finrank_euclideanSpace_fin, MeromorphicAt.meromorphicTrailingCoeffAt_pow, LinearMap.mem_span_iff_continuous, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, Finset.analyticAt_fun_prod, InnerProductSpace.symm_toEuclideanLin_rankOne, HasDerivAt.comp_sub_const, QuotientGroup.integral_mul_eq_integral_automorphize_mul, AnalyticOnNhd.eval_continuousLinearMap, HasDerivWithinAt.comp_hasFDerivAt_of_eq, ContinuousLinearMap.adjoint_innerSL_apply, HasDerivAt.of_local_left_inverse, DifferentiableOn.of_dslope, HasDerivWithinAt.iterate, RCLike.normSq_sub, nndist_homothety_self, fderivWithin_fun_mul, Differentiable.div, Orthonormal.inner_sum, intervalIntegral.integral_mul_const, Filter.IsBoundedUnder.isLittleO_sub_self_inv, RCLike.re_tsum, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, MeromorphicAt.finprod, LeftInvariantDerivation.coeFnAddMonoidHom_apply, MeromorphicOn.finprod, RCLike.sqrt_neg_of_nonneg, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, ContDiffWithinAt.div_const, PadicInt.existsUnique_mem_range, Matrix.tracePositiveLinearMap_apply, ContinuousLinearMap.norm_smulRightL_apply, PadicInt.toZMod_spec, differentiableAt_iff_comp_neg, hasFPowerSeriesAt_iff, DifferentiableWithinAt.of_dslope, contDiff_euclidean, fderiv_norm_sq_apply, RCLike.imCLM_apply, HasFPowerSeriesOnBall.exchange_radius, hasStrictDerivAt_pow, Derivation.evalAt_apply, derivWithin_mem_iff, RCLike.conj_neg_I, ConvexOn.univ_sSup_of_nat_affine_eq, cfc_setIntegral, RCLike.inv_I, hasFDerivAt_exp_of_mem_ball, NormedSpace.dual_def, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, HasDerivAt.inv, MeasureTheory.integral_mul_const, fderiv_norm_sq, contDiff_prod, NonUnitalCommCStarAlgebra.toIsScalarTower, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendsto, ContinuousLinearMap.toSesqForm_apply_norm_le, HilbertBasis.hasSum_repr_symm, inner_neg_left, differentiableWithinAt_Ioi_iff_Ici, integral_im, fun_meromorphicOrderAt_pow, cfc_integral', MeromorphicAt.meromorphicOrderAt_comp, differentiableOn_zpow, fderivWithin_mul, HasDerivWithinAt.fun_inv, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, Finset.analyticOnNhd_fun_prod, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, contDiff_one_iff_deriv, inner_matrix_col_col, MDifferentiableWithinAt.prod, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, Finset.analyticOn_prod, derivWithin_comp_neg, HasFDerivWithinAt.fun_mul, ValueDistribution.logCounting_mul_zero_le, RCLike.div_I, BoundedContinuousFunction.char_mem_charPoly, ContDiff.div, iter_deriv_pow, HasStrictFDerivAt.finset_prod, ProbabilityTheory.IndepFun.integral_mul_eq_mul_integral, VectorField.mlieBracket_smul_right, Matrix.PosDef.re_dotProduct_pos, fderiv_eq_smul_deriv, hasStrictFDerivAt_exp_smul_const_of_mem_ball, InnerProductSpace.Core.inner_sub_right, PadicInt.addChar_of_value_at_one_def, deriv_comp_sub_const, contMDiffOn_iff_localFrame_coeff, cfcₙ_integral', tendsto_zero_geometric_tsum_pnat, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, HasStrictDerivAt.fun_pow
toNonUnitalSeminormedCommRing 📖	CompOp	2 math math: nnnorm_cfcₙHom, ContinuousMapZero.elemental_eq_top

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mul_comm 📖	mathematical	—	NonUnitalNonAssocRing.toMul NonUnitalRing.toNonUnitalNonAssocRing NonUnitalNormedRing.toNonUnitalRing toNonUnitalNormedRing	—	—

NonUnitalNormedRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toMetricSpace 📖	CompOp	83 math math: Unitization.isometry_inr, continuous_cfcₙHomSuperset_left, norm_cfcₙHom, ContinuousWithinAt.cfcₙ, CFC.monotoneOn_one_sub_one_add_inv, nnnorm_cfcₙ_nnreal_le_iff, CFC.monotone_nnrpow, Unitization.real_cfcₙ_eq_cfc_inr, nnnorm_cfcₙ_lt_iff, CFC.nnnorm_sqrt, ContinuousOn.cfcₙ', IsGreatest.nnnorm_cfcₙ, ContinuousLinearMap.isometry_mul_flip, Unitization.sqrt_inr, CFC.continuousOn_sqrt, norm_cfcₙ_lt, antilipschitzWith_mul_right, IsGreatest.norm_cfcₙ, nnnorm_cfcₙ_nnreal_lt, Continuous.cfcₙ_of_mem_nhdsSet, Continuous.cfcₙ, continuousOn_cfcₙ, CStarAlgebra.norm_posPart_le, IsGreatest.nnnorm_cfcₙ_nnreal, CFC.continuous_abs, nnnorm_apply_le_nnnorm_cfcₙ, norm_cfcₙ_lt_iff, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, Continuous.cfcₙ_nnreal, ContinuousAt.cfcₙ_nnreal, Filter.Tendsto.cfcₙ, NonUnitalCommCStarAlgebra.toCompleteSpace, CFC.monotoneOn_one_sub_one_add_inv_real, ContinuousWithinAt.cfcₙ_nnreal, CFC.continuousOn_nnrpow, Filter.Tendsto.cfcₙ_nnreal, nnnorm_cfcₙ_nnreal_lt_iff, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, norm_cfcₙ_le, ContinuousOn.cfcₙ_nnreal', Unitization.nnreal_cfcₙ_eq_cfc_inr, nnnorm_cfcₙHom, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, ContinuousOn.cfcₙ, CFC.nnrpow_le_nnrpow, ContinuousOn.cfcₙ_of_mem_nhdsSet, antilipschitzWith_mul_left, dist_eq, Continuous.cfcₙ', CFC.monotone_sqrt, NonUnitalStarAlgHom.isometry, ContinuousAt.cfcₙ, nnnorm_cfcₙ_le_iff, norm_cfcₙ_one_sub_one_add_inv_lt_one, continuousOn_cfcₙ_nnreal, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, NonUnitalCStarAlgebra.toCompleteSpace, continuousOn_cfcₙ_setProd, Unitization.complex_cfcₙ_eq_cfc_inr, CStarAlgebra.norm_negPart_le, CFC.sqrt_le_sqrt, Dilation.mulRight_toFun, Unitization.antilipschitzWith_addEquiv, ContinuousOn.cfcₙ_nnreal, norm_apply_le_norm_cfcₙ, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, Dilation.mulLeft_toFun, Unitization.lipschitzWith_addEquiv, nnnorm_cfcₙ_le, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, nnnorm_cfcₙ_nnreal_le, apply_le_nnnorm_cfcₙ_nnreal, continuousOn_cfcₙ_nnreal_setProd, CFC.norm_sqrt, MonotoneOn.nnnorm_cfcₙ, CFC.nnnorm_nnrpow, norm_cfcₙ_le_iff, CFC.norm_nnrpow, WithLp.unitization_isometry_inr, StarAlgEquiv.isometry, Continuous.cfcₙ_nnreal', nnnorm_cfcₙ_lt
toNonUnitalRing 📖	CompOp	284 math math: CStarAlgebra.preimage_inr_Icc_zero_one, integrableOn_cfcₙ', continuous_cfcₙHomSuperset_left, cfcₙL_integral, norm_cfcₙHom, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, DoubleCentralizer.star_snd, ContinuousWithinAt.cfcₙ, CFC.monotoneOn_one_sub_one_add_inv, NonUnitalCStarAlgebra.toStarModule, nnnorm_cfcₙ_nnreal_le_iff, Matrix.IsHermitian.det_abs, CFC.monotone_nnrpow, IsSelfAdjoint.norm_mul_self, CStarAlgebra.inr_mem_Icc_iff_norm_le, Unitization.real_cfcₙ_eq_cfc_inr, DoubleCentralizer.natCast_fst, isClosedEmbedding_cfcₙAux, Unitization.splitMul_apply, DoubleCentralizer.nnnorm_def', nnnorm_cfcₙ_lt_iff, CFC.nnnorm_sqrt, ContinuousOn.cfcₙ', IsGreatest.nnnorm_cfcₙ, WithCStarModule.prod_norm_sq, CStarModule.innerSL_apply, UnitAddTorus.mFourierSubalgebra_closure_eq_top, NonUnitalNormedCommRing.mul_comm, CStarAlgebra.span_nonneg_inter_unitBall, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_quasispectrum, polynomialFunctions.starClosure_topologicalClosure, WithCStarModule.inner_def, RCLike.nonUnitalContinuousFunctionalCalculus, cfcₙ_integral, CStarAlgebra.tendsto_mul_left_iff_tendsto_mul_right, cfcₙ_setIntegral, CStarMatrix.toCLM_injective, Unitization.sqrt_inr, CStarRing.norm_mul_self_le, CompletelyPositiveMapClass.map_cstarMatrix_nonneg', CStarMatrix.instStarOrderedRing, Unitization.nnnorm_def, Unitization.instStarOrderedRing, DoubleCentralizer.norm_def', CStarMatrix.norm_def', WithLp.unitization_algebraMap, CStarMatrix.inner_toCLM_conjTranspose_left, Prod.cstarRing, CFC.continuousOn_sqrt, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, IsStarProjection.conjugate_of_nonneg_of_le, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, CompletelyPositiveMap.map_cstarMatrix_nonneg, PositiveLinearMap.preGNS_norm_def, DoubleCentralizer.central, Matrix.PosSemidef.det_sqrt, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, norm_cfcₙ_lt, Filter.IsIncreasingApproximateUnit.toIsApproximateUnit, antilipschitzWith_mul_right, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, IsGreatest.norm_cfcₙ, nnnorm_cfcₙ_nnreal_lt, CFC.norm_star_mul_mul_self_of_nonneg, Continuous.cfcₙ_of_mem_nhdsSet, continuousMap_mem_polynomialFunctions_closure, cfcₙHom_integral, Continuous.cfcₙ, Filter.IsIncreasingApproximateUnit.eventually_nonneg, continuousOn_cfcₙ, Unitization.cobounded_eq_aux, CStarRing.norm_star_mul_self', Unitization.splitMul_injective_of_clm_mul_injective, CStarRing.MulOpposite.instMulOpposite, PositiveLinearMap.preGNS_inner_def, CStarAlgebra.instNonnegSpectrumClassComplexNonUnital, DoubleCentralizer.add_fst, quasispectrum.isCompact, cfcₙAux_id, CStarAlgebra.norm_posPart_le, IsGreatest.nnnorm_cfcₙ_nnreal, CStarAlgebra.span_nonneg_inter_unitClosedBall, CFC.continuous_abs, Unitization.LE.le.of_inr, coe_ringEquiv_lpBCF, integral_const_mul_of_integrable, nnnorm_apply_le_nnnorm_cfcₙ, selfAdjoint.unitarySelfAddISMul_coe, CStarRing.star_mul_self_eq_zero_iff, IsometricContinuousFunctionalCalculus.toNonUnital, lp.infty_coeFn_mul, integrable_cfcₙ, DoubleCentralizer.star_fst, IsSelfAdjoint.nnnorm_mul_self, norm_cfcₙ_lt_iff, normRingNorm_toFun, CStarAlgebra.instNonnegSpectrumClass, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, Filter.IsIncreasingApproximateUnit.eventually_isSelfAdjoint, DoubleCentralizer.add_snd, CStarModule.norm_inner_le, Matrix.instNonnegSpectrumClass, Continuous.cfcₙ_nnreal, ContinuousAt.cfcₙ_nnreal, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, CStarMatrix.toCLM_apply_single, Unitization.norm_eq_sup, CStarMatrix.toCLM_apply_eq_sum, Filter.Tendsto.cfcₙ, WithCStarModule.pi_norm, inr_comp_cfcₙHom_eq_cfcₙAux, CFC.monotoneOn_one_sub_one_add_inv_real, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg, ContinuousWithinAt.cfcₙ_nnreal, CFC.continuousOn_nnrpow, DoubleCentralizer.algebraMap_snd, upperHemicontinuous_quasispectrum, Filter.Tendsto.cfcₙ_nnreal, CStarMatrix.toCLM_apply, DoubleCentralizer.algebraMap_toProd, IsStarProjection.le_tfae, DoubleCentralizer.instIsCentralScalar, mem_compactlySupported, nnnorm_cfcₙ_nnreal_lt_iff, PositiveLinearMap.gnsStarAlgHom_apply, IsStarProjection.le_iff_sub, WithCStarModule.pi_inner, ContinuousMap.instCStarRing, CStarRing.norm_star_mul_self, WithCStarModule.prod_norm, IsStarProjection.le_iff_mul_eq_left, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, CStarMatrix.mul_entry_mul_eq_inner_toCLM, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, CStarModule.norm_sq_eq, cfcₙAux_injective, ZeroAtInftyContinuousMap.instCStarRing, NonUnitalCommCStarAlgebra.toStarModule, WithCStarModule.inner_single_right, Unitization.norm_def, selfAdjoint.star_coe_unitarySelfAddISMul, DoubleCentralizer.coeHom_apply, WithLp.unitizationAlgEquiv_symm_apply_ofLp, integrableOn_cfcₙ, norm_cfcₙ_le, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg', spec_cfcₙAux, ContinuousOn.cfcₙ_nnreal', integrable_cfcₙ', ContinuousLinearMap.instNonnegSpectrumClassRealId, Unitization.nnreal_cfcₙ_eq_cfc_inr, CStarModule.norm_eq_csSup, Matrix.PosSemidef.inv_sqrt, IsStarProjection.mul_right_and_mul_left_of_nonneg_of_le, CStarRing.norm_self_mul_star, upperHemicontinuous_quasispectrum_nnreal, CStarAlgebra.conjugate_le_norm_smul', nnnorm_cfcₙHom, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, ContinuousOn.cfcₙ, CFC.nnrpow_le_nnrpow, DoubleCentralizer.algebraMap_fst, CStarAlgebra.span_nonneg_inter_closedBall, CStarAlgebra.isClosed_nonneg, Unitization.instCStarRing, ContinuousOn.cfcₙ_of_mem_nhdsSet, CStarAlgebra.star_left_conjugate_le_norm_smul, norm_mul_le, integral_mul_const_of_integrable, antilipschitzWith_mul_left, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, dist_eq, Filter.IsIncreasingApproximateUnit.eventually_star_eq, Continuous.cfcₙ', CFC.norm_abs, Memℓp.infty_mul, Unitization.isUniformEmbedding_addEquiv, cfcₙAux_mem_range_inr, Unitization.nnnorm_eq_sup, CStarModule.inner_mul_inner_swap_le, IsStarProjection.commute_of_le, CFC.monotone_sqrt, quasispectrum.isCompact_nnreal, CStarAlgebra.instNonnegSpectrumClass', CStarAlgebra.conjugate_le_norm_smul, ContinuousAt.cfcₙ, nnnorm_cfcₙ_le_iff, norm_cfcₙ_one_sub_one_add_inv_lt_one, continuousOn_cfcₙ_nnreal, Unitization.instNormOneClass, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, WithCStarModule.inner_single_left, CStarAlgebra.directedOn_nonneg_ball, PositiveLinearMap.leftMulMapPreGNS_mul_eq_comp, continuousOn_cfcₙ_setProd, fourierSubalgebra_closure_eq_top, Unitization.complex_cfcₙ_eq_cfc_inr, Filter.comap_mul_left_cobounded, Unitization.LE.le.inr, CStarAlgebra.norm_negPart_le, polynomialFunctions.topologicalClosure, NonUnitalCStarAlgebra.toIsScalarTower, CStarRing.to_normedStarGroup, CFC.sqrt_le_sqrt, Dilation.mulRight_toFun, CStarModule.continuous_inner, PositiveLinearMap.instStarHomClassOfLinearMapClassComplexOfOrderHomClass, continuous_cfcₙAux, CStarAlgebra.spectralOrderedRing, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, NonUnitalCommCStarAlgebra.toSMulCommClass, Unitization.norm_splitMul_snd_sq, DoubleCentralizer.natCast_snd, Unitization.antilipschitzWith_addEquiv, CompletelyPositiveMap.map_cstarMatrix_nonneg', coe_ringEquiv_lpBCF_symm, Unitization.splitMul_injective, CStarAlgebra.inr_mem_Icc_iff_nnnorm_le, WithCStarModule.pi_norm_sq, cfcₙ_setIntegral', ContinuousOn.cfcₙ_nnreal, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, ContinuousMap.elemental_id_eq_top, WithLp.unitization_mul, DoubleCentralizer.instStarModule, polynomialFunctions_closure_eq_top', CStarAlgebra.star_right_conjugate_le_norm_smul, norm_apply_le_norm_cfcₙ, CStarRing.nnnorm_self_mul_star, CStarMatrix.instCStarRing, Filter.comap_mul_right_cobounded, CStarAlgebra.span_nonneg_inter_ball, CStarAlgebra.isBasis_nonneg_sections, Unitization.uniformity_eq_aux, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, Dilation.mulLeft_toFun, Unitization.lipschitzWith_addEquiv, cfcₙL_integrable, CFC.norm_mul_mul_star_self_of_nonneg, WithLp.unitizationAlgEquiv_apply, CStarAlgebra.instNonnegSpectrumClassComplexUnital, CStarAlgebra.hasBasis_approximateUnit, quasispectrum.instCompactSpaceNNReal, nnnorm_cfcₙ_le, polynomialFunctions_closure_eq_top, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, nnnorm_cfcₙ_nnreal_le, IsStarProjection.le_iff_mul_eq_right, apply_le_nnnorm_cfcₙ_nnreal, continuousOn_cfcₙ_nnreal_setProd, CFC.norm_sqrt, CStarAlgebra.tendsto_mul_right_of_forall_nonneg_tendsto, MonotoneOn.nnnorm_cfcₙ, WithCStarModule.prod_inner, CStarRing.mul_star_self_eq_zero_iff, CFC.nnnorm_nnrpow, NonUnitalCStarAlgebra.toSMulCommClass, CStarRing.nnnorm_star_mul_self, NormedRing.toRingNorm_apply, Matrix.PosDef.posDef_sqrt, norm_cfcₙ_le_iff, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, ContinuousMap.idealOfSet_ofIdeal_eq_closure, CFC.norm_nnrpow, le_iff_norm_sqrt_mul_rpow, CStarAlgebra.exists_sum_four_nonneg, PositiveLinearMap.preGNS_norm_sq, IsStarProjection.le_iff_idempotent_sub, NonUnitalCommCStarAlgebra.toIsScalarTower, Unitization.inr_nonneg_iff, CStarMatrix.norm_def, DoubleCentralizer.add_toProd, CFC.abs_eq_zero_iff, Continuous.cfcₙ_nnreal', CStarMatrix.inner_toCLM_conjTranspose_right, quasispectrum.instCompactSpace, CStarMatrix.toCLM_apply_single_apply, DoubleCentralizer.toProdMulOppositeHom_apply, Unitization.cfcₙ_eq_cfc_inr, le_iff_norm_sqrt_mul_sqrt_inv, cfcₙ_integral', nnnorm_cfcₙ_lt, CStarAlgebra.norm_sub_mul_self_le_of_inr
toNonUnitalSeminormedRing 📖	CompOp	759 math math: CStarAlgebra.preimage_inr_Icc_zero_one, HasStrictDerivAt.fun_pow', nnnorm_inv, integrableOn_cfcₙ', MeasureTheory.eLpNormEssSup_const_smul_le, NormedSpace.exp_continuous, continuous_cfcₙHomSuperset_left, cfcₙL_integral, HasStrictFDerivAt.fun_mul', unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, norm_cfcₙHom, Unitary.toLinearMap_mulRight, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, IsStarNormal.spectralRadius_eq_nnnorm, MeasureTheory.Integrable.bdd_mul', DoubleCentralizer.star_snd, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, ContinuousWithinAt.cfcₙ, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, MeasureTheory.eLpNormEssSup_const_smul, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, CFC.monotoneOn_one_sub_one_add_inv, derivWithin_smul, MeasureTheory.MemLp.const_mul, hasStrictFDerivAt_list_prod_finRange', NonUnitalCStarAlgebra.toStarModule, NormedSpace.expSeries_summable_of_mem_ball, nnnorm_cfcₙ_nnreal_le_iff, nnnorm_cfc_lt, HasDerivWithinAt.div_const, fderivWithin_fun_smul, PositiveLinearMap.apply_le_of_isSelfAdjoint, Filter.Tendsto.exp, BoundedContinuousFunction.algebraMap_apply, CFC.monotone_nnrpow, DifferentiableAt.mul, Matrix.cstar_nnnorm_def, egauge_prod_mk, derivWithin_mul_const, NormedSpace.invOf_exp_of_mem_ball, DoubleCentralizer.intCast_snd, DoubleCentralizer.range_toProdMulOpposite, DifferentiableAt.fun_inv, integrableOn_cfc', Unitary.mem_pathComponentOne_iff, Unitization.real_cfcₙ_eq_cfc_inr, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', DoubleCentralizer.natCast_fst, isClosedEmbedding_cfcₙAux, Unitization.splitMul_apply, DoubleCentralizer.nnnorm_def', MeasureTheory.MemLp.integrable_mul, nnnorm_cfcₙ_lt_iff, deriv_mul_const_field, DoubleCentralizer.zero_snd, selfAdjoint.expUnitaryPathToOne_apply, deriv_fun_pow', CFC.nnnorm_sqrt, selfAdjoint.norm_sq_expUnitary_sub_one, ContinuousOn.cfcₙ', StarAlgebra.elemental.characterSpaceToSpectrum_coe, deriv_mul_const, IsGreatest.nnnorm_cfcₙ, exist_norm_eq, Differentiable.fun_inv, NormedSpace.isUnit_exp_of_mem_ball, HasStrictDerivAt.pow', MeasureTheory.Integrable.mul_prod, differentiableWithinAt_inv, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, CFC.exp_log, NormedSpace.exp_series_hasSum_exp', ContinuousLinearMap.isometry_mul_flip, DifferentiableOn.fun_mul, HasStrictFDerivAt.mul', hasStrictFDerivAt_exp_smul_const_of_mem_ball', DifferentiableWithinAt.inverse, WithCStarModule.prod_norm_sq, fderiv_fun_smul, CStarModule.innerSL_apply, egauge_add_add_le, derivWithin_fun_mul, CStarAlgebra.span_nonneg_inter_unitBall, MeasureTheory.integrable_const_mul_iff, HasStrictFDerivAt.const_mul, ContinuousLinearMap.opNorm_mul_flip_apply, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_quasispectrum, WithCStarModule.inner_def, DoubleCentralizer.pow_snd, fderiv_fun_pow', gelfandStarTransform_naturality, RCLike.nonUnitalContinuousFunctionalCalculus, HasFDerivWithinAt.const_mul, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, egauge_univ, CStarAlgebra.tendsto_mul_left_iff_tendsto_mul_right, CStarAlgebra.mem_Icc_iff_nnnorm_le_one, compactlySupported_eq_top_of_isCompact, cfcₙ_setIntegral, Function.update_exp, CStarMatrix.toCLM_injective, formalMultilinearSeries_geometric_apply_norm_le, NormedSpace.map_exp, Unitization.sqrt_inr, spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div, Polynomial.isEquivalent_cobounded_leading_monomial, NonUnitalStarAlgHom.nnnorm_apply_le, fderivWithin_const_mul, ContinuousLinearMap.opNorm_mul, DifferentiableOn.mul, DoubleCentralizer.smul_toProd, egauge_zero_zero, DoubleCentralizer.toProdMulOpposite_injective, HasDerivAt.fun_pow', DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, Unitization.dist_inr, Unitization.instStarOrderedRing, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, NormedSpace.expSeries_summable, BoundedContinuousFunction.coe_toContinuousMapStarₐ, cfcL_integrable, DoubleCentralizer.norm_def', CStarMatrix.norm_def', IsGreatest.nnnorm_cfc_nnreal, Quaternion.linearIsometryEquivTuple_symm_apply, MeasureTheory.LocallyIntegrableOn.continuousOn_mul, WithLp.unitization_algebraMap, deriv_fun_mul, MeasureTheory.Integrable.const_mul, MeasureTheory.HasFiniteIntegral.mul_const, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, HasStrictFDerivAt.list_prod', CStarMatrix.inner_toCLM_conjTranspose_left, hasStrictDerivAt_exp_smul_const, CFC.continuousOn_sqrt, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, DoubleCentralizer.norm_def, Unitary.mulRight_trans_mulRight, hasStrictDerivAt_exp_smul_const', egauge_univ_pi, nnnorm_div, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, PositiveLinearMap.preGNS_norm_def, PositiveLinearMap.leftMulMapPreGNS_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Differentiable.pow, deriv_fun_smul, HasStrictDerivAt.mul, Matrix.exp_add_of_commute, DoubleCentralizer.central, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, HasStrictDerivAt.const_mul, CompletelyPositiveMap.instLinearMapClassComplex, hasFDerivAt_ringInverse, norm_cfcₙ_lt, DifferentiableWithinAt.mul, Filter.IsIncreasingApproximateUnit.toIsApproximateUnit, fderiv_smul, MeasureTheory.Integrable.mul_of_top_right, antilipschitzWith_mul_right, HasDerivWithinAt.fun_pow', PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, DifferentiableWithinAt.const_mul, differentiableWithinAt_pow, NormedSpace.norm_expSeries_summable, IsGreatest.norm_cfcₙ, DifferentiableWithinAt.fun_pow, DoubleCentralizer.nnnorm_def, nnnorm_cfcₙ_nnreal_lt, nndist_inv_inv₀, CStarAlgebra.nnnorm_le_iff_of_nonneg, CFC.norm_star_mul_mul_self_of_nonneg, Continuous.cfcₙ_of_mem_nhdsSet, PositiveLinearMap.instContinuousLinearMapClassComplexOfLinearMapClassOfOrderHomClass, DifferentiableAt.inverse, cfcₙHom_integral, Continuous.cfcₙ, fderiv_mul_const', deriv_const_mul_field', HasFDerivWithinAt.fun_smul, Unitary.expUnitary_eq_mul_inv, continuousOn_cfcₙ, infEDist_smul₀, DoubleCentralizer.neg_snd, Unitization.cobounded_eq_aux, lp.zeroBasis_repr_apply, NormedSpace.expSeries_hasSum_exp, WeakDual.CharacterSpace.homeoEval_naturality, HasDerivWithinAt.mul, CStarAlgebra.instOrderClosedTopology, fderiv_inverse, hasStrictFDerivAt_exp_smul_const', DoubleCentralizer.range_toProd, IsGreatest.nnnorm_cfc, egauge_le_one, Unitization.splitMul_injective_of_clm_mul_injective, ContinuousMap.isUnit_iff_forall_isUnit, selfAdjoint.nnnorm_pow_two_pow, NormedSpace.analyticAt_exp_of_mem_ball, PositiveLinearMap.preGNS_inner_def, fderivWithin_inv', CStarAlgebra.instNonnegSpectrumClassComplexNonUnital, MeasureTheory.Measure.hausdorffMeasure_smul₀, DoubleCentralizer.add_fst, quasispectrum.isCompact, derivWithin_div_const, spectrum.gelfand_formula, iteratedFDerivWithin_smul_const_apply, cfcₙAux_id, MeasureTheory.Integrable.bdd_mul, le_egauge_smul_left, Real.fourier_mul_convolution_eq, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, compactlySupported_eq_top, CStarAlgebra.norm_posPart_le, NormedSpace.exp_continuousMap_eq, IsGreatest.nnnorm_cfcₙ_nnreal, DifferentiableOn.inv, CStarAlgebra.span_nonneg_inter_unitClosedBall, fderiv_pow', StarAlgebra.elemental.bijective_characterSpaceToSpectrum, CFC.continuous_abs, DoubleCentralizer.smul_fst, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, coe_ringEquiv_lpBCF, egauge_pi, Differentiable.fun_pow, nnnorm_apply_le_nnnorm_cfcₙ, selfAdjoint.unitarySelfAddISMul_coe, Filter.IsIncreasingApproximateUnit.eventually_nnnorm, deriv_const_mul_field, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', Matrix.exp_nsmul, Unitary.mulLeft_trans_mulLeft, Differentiable.inverse, IsometricContinuousFunctionalCalculus.toNonUnital, DifferentiableOn.div_const, AlgHom.instContinuousLinearMapClassOfAlgHomClass, fderivWithin_fun_mul', CFC.exp_eq_normedSpace_exp, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul, fderiv_mul', integrable_cfcₙ, PositiveLinearMap.toPreGNS_ofPreGNS, HasStrictDerivAt.mul_const, spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius, NormedSpace.norm_expSeries_summable_of_mem_ball, MeasureTheory.IntegrableOn.continuousOn_mul_of_subset, DifferentiableAt.const_mul, PositiveLinearMap.exists_norm_apply_le, DoubleCentralizer.star_fst, IsSelfAdjoint.nnnorm_mul_self, norm_cfcₙ_lt_iff, DifferentiableWithinAt.fun_mul, hasFDerivAt_exp_smul_const', compactlySupported_eq_top_iff, CStarAlgebra.instNonnegSpectrumClass, Matrix.exp_sum_of_commute, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, hasFDerivWithinAt_pow', DoubleCentralizer.add_snd, CStarModule.norm_inner_le, Continuous.cfcₙ_nnreal, infEdist_smul₀, DoubleCentralizer.norm_snd, DoubleCentralizer.nnnorm_fst, fderivWithin_mul_const', fderivWithin_smul, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, ContinuousAt.cfcₙ_nnreal, Unitization.continuous_snd, hasFDerivAt_list_prod_finRange', NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, MeasureTheory.LocallyIntegrableOn.mul_continuousOn, CStarMatrix.toCLM_apply_single, MeasureTheory.MemLp.mul, NormedSpace.exp_add_of_commute_of_mem_ball, DifferentiableWithinAt.div_const, CStarAlgebra.nnnorm_sub_mul_self_le, HasFDerivWithinAt.smul_const, Unitization.norm_eq_sup, DifferentiableAt.inv, CStarMatrix.toCLM_apply_eq_sum, DifferentiableWithinAt.inv, differentiableOn_pow, Filter.Tendsto.cfcₙ, hasDerivAt_exp_smul_const, NormedSpace.algebraMap_exp_comm, WithCStarModule.pi_norm, DifferentiableAt.fun_pow, LinearIsometryEquiv.toSpanUnitSingleton_apply, derivWithin_mul_const_field, inr_comp_cfcₙHom_eq_cfcₙAux, NormedSpace.map_exp_of_mem_ball, CFC.monotoneOn_one_sub_one_add_inv_real, Differentiable.mul_const, NormedSpace.expSeries_radius_eq_top, lp.infty_smulCommClass, DoubleCentralizer.neg_toProd, MeasureTheory.integrable_mul_const_iff, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg, ContinuousWithinAt.cfcₙ_nnreal, nnnorm_cfc_le_iff, CStarMatrix.ofMatrix_eq_ofMatrixL, HasFDerivWithinAt.mul_const', CStarAlgebra.nnnorm_le_one_iff_of_nonneg, fderiv_const_mul, CFC.continuousOn_nnrpow, DoubleCentralizer.algebraMap_snd, MeasureTheory.eLpNorm_const_smul_le', NormedSpace.invOf_exp, lp.zeroBasis_apply, MeasureTheory.IntegrableOn.mul_continuousOn_of_subset, DoubleCentralizer.one_snd, fderiv_pow_ring', upperHemicontinuous_quasispectrum, MeasureTheory.MemLp.const_mul', Filter.Tendsto.cfcₙ_nnreal, WeakDual.CharacterSpace.compContinuousMap_apply, CStarMatrix.toCLM_apply, DoubleCentralizer.algebraMap_toProd, DoubleCentralizer.instIsCentralScalar, HasDerivWithinAt.const_mul, NormedSpace.exp_units_conj', norm_lt_iff_of_compactlySupported, spectrum.hasDerivAt_resolvent, mem_compactlySupported, selfAdjoint.realPart_unitarySelfAddISMul, deriv_smul, nnnorm_cfcₙ_nnreal_lt_iff, PositiveLinearMap.gnsStarAlgHom_apply, MeasureTheory.Integrable.mul_bdd, DoubleCentralizer.pow_toProd, CStarAlgebra.mem_Icc_algebraMap_iff_nnnorm_le, WithLp.unitization_nnnorm_inr, nnnorm_cfc_nnreal_lt, NonUnitalStarAlgHom.nnnorm_map, derivWithin_fun_smul, HasFDerivAt.fun_pow', Units.nnnorm_pos, HasMFDerivWithinAt.mul', WithCStarModule.pi_inner, ContinuousMap.instCStarRing, le_egauge_smul_right, IsSelfAdjoint.exp_nonneg, WithCStarModule.prod_norm, spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius, DoubleCentralizer.zero_fst, nnnorm_cfc_nnreal_le, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, CStarMatrix.mul_entry_mul_eq_inner_toCLM, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, HasFDerivAt.smul_const, IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, NormedSpace.exp_hasFPowerSeriesAt_zero, nnnorm_cfc_nnreal_le_iff, CStarModule.norm_sq_eq, BoundedContinuousFunction.instCStarRing, DifferentiableAt.mul_const, cfcₙAux_injective, ZeroAtInftyContinuousMap.instCStarRing, expUnitary_argSelfAdjoint, Unitization.uniformContinuous_snd, NonUnitalCommCStarAlgebra.toStarModule, HasFDerivAt.const_mul, NormedSpace.exp_nsmul, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, MeasureTheory.Integrable.mul_of_top_left, formalMultilinearSeries_geometric_eq_ofScalars, DifferentiableOn.fun_inv, hasFDerivAt_exp_zero, Unitary.symm_mulRight, MeasureTheory.Integrable.const_mul', DoubleCentralizer.nnnorm_fst_eq_snd, WithCStarModule.inner_single_right, Unitization.norm_def, selfAdjoint.star_coe_unitarySelfAddISMul, ofCompactSupport_mem, MeasureTheory.eLpNorm_const_smul_le, argSelfAdjoint_expUnitary, egauge_le_of_smul_mem, hasStrictFDerivAt_pow', MeasureTheory.Integrable.mul_const', DoubleCentralizer.one_fst, DifferentiableWithinAt.pow, DoubleCentralizer.coeHom_apply, HasDerivWithinAt.fun_mul, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', HasDerivWithinAt.pow', WithLp.unitizationAlgEquiv_symm_apply_ofLp, integrableOn_cfcₙ, MeasureTheory.eLpNorm'_const_smul, norm_cfcₙ_le, MeasureTheory.IntegrableOn.continuousOn_mul, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg', spec_cfcₙAux, ContinuousOn.cfcₙ_nnreal', hasFDerivAt_exp_smul_const, integrable_cfcₙ', hasStrictFDerivAt_list_prod_attach', DoubleCentralizer.sub_fst, nnnorm_cfc_le, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasStrictFDerivAt_ringInverse, integrable_cfc', DifferentiableOn.fun_pow, Prod.fst_exp, CStarModule.norm_eq_csSup, nnnorm_apply_le_nnnorm_cfc, DoubleCentralizer.pow_fst, IsometricContinuousFunctionalCalculus.spectrum_le, fderiv_smul_const, IsSelfAdjoint.spectralRadius_eq_nnnorm, MeasureTheory.eLpNorm_const_smul, Unitary.mulLeft_mul_apply, iteratedFDeriv_smul_const_apply, CStarRing.instRegularNormedAlgebra, upperHemicontinuous_quasispectrum_nnreal, differentiable_pow, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, CStarAlgebra.conjugate_le_norm_smul', WStarAlgebra.exists_predual, Differentiable.const_mul, nnnorm_cfcₙHom, ContinuousLinearMap.opNNNorm_mul, differentiableOn_inverse, CFC.nnnorm_rpow, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, ContinuousOn.cfcₙ, MeasureTheory.MemLp.mul_const, CFC.nnrpow_le_nnrpow, Matrix.exp_units_conj', DoubleCentralizer.algebraMap_fst, hasStrictFDerivAt_exp_zero_of_radius_pos, CStarAlgebra.span_nonneg_inter_closedBall, CStarAlgebra.isClosed_nonneg, spectrum.hasFDerivAt_resolvent, apply_le_nnnorm_cfc_nnreal, Unitization.instCStarRing, Unitary.toLinearEquiv_mulRight, AlgHom.coe_toContinuousLinearMap, HasFDerivWithinAt.pow', ContinuousOn.cfcₙ_of_mem_nhdsSet, HasDerivAt.const_mul, HasFDerivAt.list_prod', CStarAlgebra.star_left_conjugate_le_norm_smul, hasFDerivAt_pow', WeakDual.CharacterSpace.norm_le_norm_one, MemHolder.nnHolderNorm_smul, hasStrictFDerivAt_exp_zero, antilipschitzWith_mul_left, DifferentiableOn.pow, ContinuousLinearMap.opNNNorm_mul_flip_apply, egauge_eq_zero_iff, HasDerivAt.mul, DoubleCentralizer.mul_fst, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, PositiveLinearMap.ofPreGNS_toPreGNS, deriv_smul_const, CStarMatrix.normedSpaceCore, MeasureTheory.MemLp.mul', ediam_smul₀, NonUnitalIsometricContinuousFunctionalCalculus.quasispectrum_le, Unitary.mulRight_apply, Continuous.cfcₙ', CFC.norm_abs, spectrum.exp_mem_exp, Unitization.isUniformEmbedding_addEquiv, differentiableWithinAt_inverse, Unitary.mulRight_mul_apply, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, cfcₙAux_mem_range_inr, DifferentiableOn.inverse, Unitization.nnnorm_eq_sup, DoubleCentralizer.zero_toProd, CStarModule.inner_mul_inner_swap_le, NormedSpace.exp_smul, hasDerivAt_exp_smul_const_of_mem_ball', HasDerivWithinAt.mul_const, deriv_const_mul, DilationEquiv.smulTorsor_ratio, CFC.monotone_sqrt, quasispectrum.isCompact_nnreal, nnnorm_commutator_sub_one_le, CStarAlgebra.instNonnegSpectrumClass', CStarAlgebra.conjugate_le_norm_smul, ContinuousAt.cfcₙ, DoubleCentralizer.norm_fst, BoundedContinuousFunction.coe_toContinuousMapₐ, nnnorm_cfcₙ_le_iff, DoubleCentralizer.coe_fst, HasStrictFDerivAt.fun_smul, norm_cfcₙ_one_sub_one_add_inv_lt_one, HasFDerivAt.pow', continuousOn_cfcₙ_nnreal, HasStrictFDerivAt.pow', lp.infty_isScalarTower, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, HasDerivAt.div_const, HasFDerivWithinAt.smul, nnnorm_cfc_lt_iff, spectrum.spectralRadius_le_nnnorm, WithCStarModule.inner_single_left, MeasureTheory.Integrable.mul_const, HasStrictFDerivAt.mul_const', CStarAlgebra.directedOn_nonneg_ball, MeasureTheory.eLpNorm'_const_smul_le, differentiableAt_pow, AlgHom.toContinuousLinearMap_norm, continuousOn_cfcₙ_setProd, Differentiable.div_const, fderivWithin_list_prod', Unitization.complex_cfcₙ_eq_cfc_inr, Filter.comap_mul_left_cobounded, HasFDerivWithinAt.fun_mul', BoundedContinuousFunction.toContinuousMapₐ_apply, fderivWithin_smul_const, CStarAlgebra.norm_negPart_le, ProbabilityTheory.IndepFun.integrable_right_of_integrable_mul, NormedSpace.continuousOn_exp, Matrix.isUnit_exp, MeasureTheory.Integrable.div_const, unitary.expUnitary_eq_mul_inv, PositiveLinearMap.norm_apply_le_of_nonneg, fderivWithin_pow_ring', Unitization.nndist_inr, NonUnitalCStarAlgebra.toIsScalarTower, CStarRing.to_normedStarGroup, DifferentiableOn.const_mul, Unitary.symm_mulLeft, CFC.sqrt_le_sqrt, DoubleCentralizer.natCast_toProd, MeasureTheory.HasFiniteIntegral.const_mul, CStarModule.continuous_inner, HasFDerivWithinAt.fun_pow', integrable_cfc, DoubleCentralizer.one_toProd, NormedSpace.expSeries_radius_pos, StarAlgEquiv.nnnorm_map, nnnorm_cfc_nnreal_lt_iff, Unitary.symm_mulRight_apply, NormedSpace.algebraMap_exp_comm_of_mem_ball, continuous_cfcₙAux, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, NonUnitalCommCStarAlgebra.toSMulCommClass, HasFDerivAt.mul_const', DifferentiableOn.mul_const, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', spectrum.le_nnnorm_of_mem, DoubleCentralizer.natCast_snd, le_egauge_of_forall_ne_zero, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, CompletelyPositiveMap.map_cstarMatrix_nonneg', CStarMatrix.uniformEmbedding_ofMatrix, coe_ringEquiv_lpBCF_symm, Unitization.splitMul_injective, MeasureTheory.eLpNorm'_const_smul_le', Polynomial.cauchyBound_X_add_C, Unitary.mulLeft_apply, CStarAlgebra.inr_mem_Icc_iff_nnnorm_le, MeasureTheory.Lp.smul_assoc, DoubleCentralizer.sub_snd, MonotoneOn.nnnorm_cfc, norm_iteratedFDerivWithin_mul_le, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, DifferentiableAt.div_const, WithCStarModule.pi_norm_sq, cfcₙ_setIntegral', hasStrictFDerivAt_inv', ContinuousOn.cfcₙ_nnreal, hasFDerivAt_exp_smul_const_of_mem_ball', Differentiable.mul, hasStrictFDerivAt_exp_smul_const, derivWithin_mul, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, lp.zeroBasis_repr_symm_apply_coe, WithLp.unitization_mul, hasDerivAt_exp_smul_const', DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, CStarAlgebra.star_right_conjugate_le_norm_smul, norm_apply_le_norm_cfcₙ, Unitary.symm_mulLeft_apply, CStarRing.nnnorm_self_mul_star, Polynomial.cauchyBound_X_sub_C, DoubleCentralizer.intCast_fst, nnnorm_cfcHom, integrableOn_cfc, NormedSpace.exp_add_of_commute, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ProbabilityTheory.IndepFun.integrable_mul, CStarAlgebra.nnnorm_le_nnnorm_of_nonneg_of_le, hasStrictFDerivAt_list_prod', Prod.snd_exp, HasStrictFDerivAt.smul_const, Filter.comap_mul_right_cobounded, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, NormedSpace.isUnit_exp, NormedSpace.expSeries_hasSum_exp_of_mem_ball', hasFDerivAt_exp_zero_of_radius_pos, CStarAlgebra.span_nonneg_inter_ball, CFC.log_exp, Unitary.toLinearEquiv_mulLeft, ContinuousLinearMap.opNorm_lsmul, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, Unitization.uniformity_eq_aux, DifferentiableAt.pow, MeasureTheory.Measure.euclideanHausdorffMeasure_smul₀, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, Quaternion.linearIsometryEquivTuple_apply, DifferentiableWithinAt.fun_inv, coe_algEquiv_lpBCF_symm, cfcₙL_integrable, HasFDerivWithinAt.mul', DifferentiableAt.fun_mul, spectrum.hasDerivAt_resolvent_const_left, CFC.norm_mul_mul_star_self_of_nonneg, WithLp.unitizationAlgEquiv_apply, deriv_mul, egauge_smul_right, NormedSpace.exp_analytic, differentiableAt_inv, deriv_pow', NormedSpace.exp_sum_of_commute, DifferentiableWithinAt.mul_const, norm_lt_iff_of_nonempty_compactlySupported, fderivWithin_mul', hasStrictDerivAt_exp_smul_const_of_mem_ball, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, CStarAlgebra.instNonnegSpectrumClassComplexUnital, hasFDerivAt_inv', HasDerivAt.fun_mul, Matrix.exp_units_conj, CStarAlgebra.hasBasis_approximateUnit, quasispectrum.instCompactSpaceNNReal, NormedSpace.exp_units_conj, WeakDual.CharacterSpace.compContinuousMap_id, differentiableAt_inverse, MeasureTheory.IntegrableOn.mul_continuousOn, nnnorm_cfcₙ_le, BoundedContinuousFunction.separatesPoints_charPoly, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, nnnorm_cfcₙ_nnreal_le, apply_le_nnnorm_cfcₙ_nnreal, enorm_inv, fderiv_list_prod', HasMFDerivAt.mul', nnnorm_zpow, continuousOn_cfcₙ_nnreal_setProd, cfcHom_eq_of_isStarNormal, spectrum.spectralRadius_le_pow_nnnorm_pow_one_div, eHolderNorm_smul, NormedSpace.exp_mem_unitary_of_mem_skewAdjoint, deriv_mul_const_field', CFC.real_exp_eq_normedSpace_exp, CFC.norm_sqrt, WithLp.unitization_nnnorm_def, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, CStarAlgebra.tendsto_mul_right_of_forall_nonneg_tendsto, DoubleCentralizer.toProdHom_apply, Differentiable.inv, DoubleCentralizer.mul_snd, MonotoneOn.nnnorm_cfcₙ, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, HasFDerivAt.fun_mul', Ring.inverse_exp, WithCStarModule.prod_inner, one_le_nnnorm_one, unitary.mem_pathComponentOne_iff, derivWithin_smul_const, derivWithin_const_mul_field, CFC.nnnorm_nnrpow, egauge_zero_right, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, hasDerivAt_exp_smul_const_of_mem_ball, NonUnitalCStarAlgebra.toSMulCommClass, CStarRing.nnnorm_star_mul_self, HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, norm_cfcₙ_le_iff, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, continuousFunctionalCalculus_map_id, CFC.norm_nnrpow, coe_algEquiv_lpBCF, CStarAlgebra.nnnorm_le_natCast_iff_of_nonneg, hasFDerivAt_list_prod_attach', NormedSpace.expSeries_hasSum_exp_of_mem_ball, CStarAlgebra.span_unitary, CFC.complex_exp_eq_normedSpace_exp, le_iff_norm_sqrt_mul_rpow, DoubleCentralizer.smul_snd, deriv_div_const, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, SpectrumRestricts.nnreal_iff_nnnorm, CStarAlgebra.le_nnnorm_of_mem_quasispectrum, HasFDerivAt.smul, CStarAlgebra.exists_sum_four_nonneg, DoubleCentralizer.coe_snd, PositiveLinearMap.preGNS_norm_sq, differentiableOn_inv, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, Ideal.IsMaximal.closure_eq, egauge_le_of_smul_mem_of_ne, WeakDual.CharacterSpace.instStarHomClass, NonUnitalCommCStarAlgebra.toIsScalarTower, egauge_pi', Pi.exp_def, CStarMatrix.norm_def, Unitization.continuous_inr, derivWithin_fun_pow', Polynomial.IsRoot.norm_lt_cauchyBound, DoubleCentralizer.add_toProd, CFC.abs_eq_zero_iff, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, MeasureTheory.eLpNormEssSup_const_smul_le', derivWithin_pow', HasStrictFDerivAt.smul, IsSelfAdjoint.nnnorm_pow_two_pow, Continuous.cfcₙ_nnreal', DoubleCentralizer.neg_fst, CStarMatrix.inner_toCLM_conjTranspose_right, NonUnitalStarAlgHom.instContinuousLinearMapClassComplex, Unitization.nnnorm_inr, quasispectrum.instCompactSpace, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, CStarMatrix.toCLM_apply_single_apply, hasStrictFDerivAt_exp_smul_const_of_mem_ball, DoubleCentralizer.toProdMulOppositeHom_apply, HasDerivAt.mul_const, derivWithin_const_mul, selfAdjoint.joined_one_expUnitary, Unitization.cfcₙ_eq_cfc_inr, le_iff_norm_sqrt_mul_sqrt_inv, HasFDerivWithinAt.list_prod', fderiv_inv', cfcₙ_integral', Unitary.mulRight_one, egauge_smul_left, Pi.coe_exp, fderivWithin_pow', nnnorm_cfcₙ_lt
toNorm 📖	CompOp	69 math math: norm_cfcₙHom, CStarMatrix.norm_entry_le_norm, IsSelfAdjoint.norm_mul_self, StarAlgEquiv.norm_map, CStarAlgebra.inr_mem_Icc_iff_norm_le, exist_norm_eq, WithCStarModule.prod_norm_sq, CStarModule.innerSL_apply, ContinuousLinearMap.opNorm_mul_flip_apply, NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le, WithCStarModule.inner_def, CStarRing.norm_mul_self_le, CStarMatrix.inner_toCLM_conjTranspose_left, norm_cfcₙ_lt, IsGreatest.norm_cfcₙ, CFC.norm_star_mul_mul_self_of_nonneg, Filter.IsIncreasingApproximateUnit.eventually_norm, CStarRing.norm_star_mul_self', IsStarProjection.norm_le, CStarAlgebra.norm_posPart_le, PositiveLinearMap.exists_norm_apply_le, norm_cfcₙ_lt_iff, CStarModule.norm_inner_le, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, WithCStarModule.pi_norm, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg, norm_lt_iff_of_compactlySupported, WithCStarModule.pi_inner, CStarRing.norm_star_mul_self, WithCStarModule.prod_norm, NonUnitalStarAlgHom.norm_map, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, CStarMatrix.mul_entry_mul_eq_inner_toCLM, WithLp.unitization_norm_def, CStarModule.norm_sq_eq, WithCStarModule.inner_single_right, norm_cfcₙ_le, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg', CStarModule.norm_eq_csSup, CStarRing.norm_self_mul_star, CStarAlgebra.conjugate_le_norm_smul', CStarAlgebra.norm_le_norm_of_nonneg_of_le, CStarAlgebra.star_left_conjugate_le_norm_smul, norm_mul_le, dist_eq, CFC.norm_abs, CStarModule.inner_mul_inner_swap_le, CStarAlgebra.conjugate_le_norm_smul, norm_cfcₙ_one_sub_one_add_inv_lt_one, WithCStarModule.inner_single_left, CStarAlgebra.norm_negPart_le, CStarModule.continuous_inner, WithCStarModule.pi_norm_sq, CStarAlgebra.star_right_conjugate_le_norm_smul, norm_apply_le_norm_cfcₙ, CStarAlgebra.isBasis_nonneg_sections, CFC.norm_mul_mul_star_self_of_nonneg, norm_lt_iff_of_nonempty_compactlySupported, CStarAlgebra.hasBasis_approximateUnit, CFC.norm_sqrt, WithLp.unitization_norm_inr, NonUnitalStarAlgHom.norm_apply_le, WithCStarModule.prod_inner, norm_cfcₙ_le_iff, CFC.norm_nnrpow, CStarAlgebra.exists_sum_four_nonneg, Unitization.norm_inr, CStarMatrix.inner_toCLM_conjTranspose_right, CStarAlgebra.norm_sub_mul_self_le_of_inr
toNormedAddCommGroup 📖	CompOp	2154 math math: Unitary.openPartialHomeomorph_source, Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, ValueDistribution.logCounting_zero, hasFDerivAt_iff_hasDerivAt, Convex.norm_image_sub_le_of_norm_derivWithin_le, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, Polynomial.differentiableWithinAt, fun_meromorphicOrderAt_pow_id_sub_const, HasStrictDerivAt.fun_pow', DifferentiableOn.zpow, AnalyticAt.tendsto_mul_logDeriv_simple_zero, NormedSpace.exp_neg_of_mem_ball, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, MeasureTheory.lpNorm_conj, TensorProduct.enorm_lid, topDualPairing_isContPerfPair, meromorphicNFOn_mul_iff_right_of_analyticOnNhd, differentiableAt_comp_neg, cfcₙL_integral, HasStrictFDerivAt.fun_mul', unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, Matrix.frobenius_nnnorm_mul, HasMFDerivAt.mul, continuousOn_stereoToFun, LeftInvariantDerivation.lift_zero, contDiffAt_prod', hasSum_geometric_of_norm_lt_one, norm_cfcₙHom, contDiffOn_nat_succ_iff_contDiffOn_one_iteratedDerivWithin, RCLike.map_apply, Meromorphic.mul, LinearMap.IsSymmetric.inner_map_polarization, fun_meromorphicOrderAt_div, LinearMap.coe_toSeminorm, CStarRing.norm_unitary_smul, DoubleCentralizer.star_snd, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, PowerSeries.IsRestricted.smul, PadicInt.lift_sub_val_mem_span, LinearMap.toLinearMap_tracePositiveLinearMap, NormedRing.inverse_one_sub_norm, LeftInvariantDerivation.leibniz, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasStrictFDerivAt_exp_of_mem_ball, hasFDerivAt_iff_hasGradientAt, RCLike.reCLM_apply, smooth_barycentric_coord, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, AnalyticOn.aeval_polynomial, NormedSpace.exp_zsmul, CFC.monotoneOn_one_sub_one_add_inv, derivWithin_smul, Differentiable.fun_div, hasStrictFDerivAt_list_prod_finRange', Finset.analyticOnNhd_prod, InnerProductSpace.rankOne_one_left_eq_innerSL, ContMDiffMap.coeFnAlgHom_apply, Function.FactorizedRational.divisor, MDifferentiableAt.prod, NormedSpace.expSeries_summable_of_mem_ball, iteratedDerivWithin_const_mul_field, nnnorm_cfcₙ_nnreal_le_iff, MeromorphicAt.analyticAt, HasFDerivWithinAt.pow, ContDiff.div_const, MeromorphicOn.divisor_fun_smul, EuclideanSpace.orthonormal_single, HasDerivWithinAt.div_const, meromorphicOrderAt_const_ofNat, fderivWithin_fun_smul, Polynomial.derivWithin_aeval, AffineMap.hasDerivAtFilter, PositiveLinearMap.apply_le_of_isSelfAdjoint, Matrix.IsHermitian.det_abs, differentiableAt_zpow, hasFDerivAt_multiset_prod, BoundedContinuousFunction.algebraMap_apply, derivWithin_id', geom_series_mul_shift, CFC.monotone_nnrpow, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, DifferentiableAt.mul, smoothSheafCommRing.nonunits_stalk, MeasureTheory.convolution_mul, deriv_mem_iff, Matrix.spectrum_toEuclideanLin, MeasureTheory.lpNorm_fun_div_natCast, norm_iteratedFDerivWithin_smul_le, Matrix.cstar_nnnorm_def, Meromorphic.fun_inv, hasSum_choose_mul_geometric_of_norm_lt_one, derivWithin_mul_const, tsum_coe_mul_geometric_of_norm_lt_one', lp.inner_eq_tsum, logDeriv_comp, HasStrictDerivAt.pow, DifferentiableAt.div, NormedSpace.invOf_exp_of_mem_ball, OrthonormalBasis.sum_inner_mul_inner, Function.HasTemperateGrowth.fun_pow, Matrix.l2_opNorm_mulVec, ContinuousLinearMap.hasDerivAtFilter, DoubleCentralizer.intCast_snd, HasDerivAtFilter.comp_hasFDerivAtFilter, MeromorphicAt.finsum, DoubleCentralizer.range_toProdMulOpposite, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, DifferentiableAt.fun_inv, mdifferentiableAt_iff_localFrame_coeff, OpenPartialHomeomorph.hasDerivAt_symm, AnalyticWithinAt.fun_zpow, Unitary.mem_pathComponentOne_iff, HasDerivAt.fun_finset_prod, LinearMap.polar_eq_iInter, hensels_lemma, MeasureTheory.integral_fintype_prod_volume_eq_pow, ContMDiffCovariantDerivativeOn.affine_combination, Unitization.real_cfcₙ_eq_cfc_inr, PadicInt.appr_spec, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', Matrix.le_iff, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, DoubleCentralizer.natCast_fst, analyticOnNhd_inverse, continuousOn_dslope, RCLike.sub_conj, Module.Dual.extendRCLikeₗ_symm_apply, ValueDistribution.logCounting_zero_mul_le, isClosedEmbedding_cfcₙAux, deriv_comp_const_sub, LeftInvariantDerivation.coe_derivation, innerSL_apply_apply, RCLike.norm_expect_le, fderiv_multiset_prod, LinearMap.adjoint_innerₛₗ_apply, inner_sum, EuclideanSpace.inner_single_left, EuclideanSpace.basisFun_toBasis, hasDerivAt_neg', ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, iteratedDerivWithin_comp_two, DoubleCentralizer.nnnorm_def', tendsto_smul_comp_nat_floor_of_tendsto_mul, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, HasFDerivAt.fun_mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, eqOn_dslope_sub_smul, deriv_mul_const_field, Matrix.toLinearMap_tracePositiveLinearMap, MeromorphicAt.mul, DoubleCentralizer.zero_snd, LeftInvariantDerivation.left_invariant', selfAdjoint.expUnitaryPathToOne_apply, NormedRing.inverse_add_norm_diff_nth_order, Unitary.continuousOn_argSelfAdjoint, derivWithin_fderivWithin, deriv_fun_pow', MDifferentiableWithinAt.mul, RCLike.wInner_sub_right, selfAdjoint.norm_sq_expUnitary_sub_one, ContDiff.differentiable_deriv_two, FormalMultilinearSeries.derivSeries_coeff_one, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivAt, Matrix.spectrum_toLpLin, PadicInt.sub_zmodRepr_mem, tsum_choose_mul_geometric_of_norm_lt_one', ContDiff.pow, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, HasDerivAt.comp_hasFDerivAt_of_eq, deriv_mul_const, MeasureTheory.integral_fintype_prod_eq_prod, derivWithin_comp_const_sub, iteratedDeriv_pow, hasSum_coe_mul_geometric_of_norm_lt_one', AffineMap.hasDerivWithinAt, LeftInvariantDerivation.left_invariant, MeromorphicNFAt.meromorphicOrderAt_nonneg_iff_analyticAt, EuclideanSpace.basisFun_apply, meromorphicOrderAt_mul, HasStrictDerivAt.of_local_left_inverse, tsum_coe_mul_geometric_of_norm_lt_one, CPolynomialOn.iterated_deriv, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, hasDerivWithinAt_iff_isLittleO, Differentiable.fun_inv, Differentiable.fderiv_norm_rpow, RCLike.normSq_neg, HasStrictDerivAt.pow', MeasureTheory.integral_const_mul, iteratedDeriv_div_const, differentiableWithinAt_inv, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, iteratedDeriv_comp_const_mul, VectorField.mlieBracket_smul_left, analyticAt_iff_analytic_mul, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', ContinuousLinearMap.isometry_mul_flip, OrthonormalBasis.toBasis_singleton, ContDiffOn.inner, DifferentiableOn.fun_mul, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', inner_gradientWithin_right, fderiv_fun_pow, DiffContOnCl.inv, hasStrictFDerivAt_exp_smul_const_of_mem_ball', DifferentiableWithinAt.inverse, fderiv_fun_smul, CStarModule.innerSL_apply, AnalyticOn.fun_inv, DifferentiableAt.zpow, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.integral_div, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, iter_deriv_zpow', derivWithin_fun_mul, ValueDistribution.logCounting_pow_top, PadicInt.coe_sum, Matrix.exp_conj', CStarAlgebra.span_nonneg_inter_unitBall, deriv.scomp_of_eq, HasStrictFDerivAt.const_mul, deriv_conj_conj, ConvexOn.univ_sSup_of_countable_affine_eq, contDiff_nat_succ_iff_contDiff_one_iteratedDeriv, RCLike.hasSum_ofReal, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, IsLocalFrameOn.coeff_apply_of_mem, OpenPartialHomeomorph.contDiffAt_symm_deriv, HasFDerivAt.finset_prod, Bundle.Trivialization.localFrame_coeff_congr, Matrix.exp_neg, Meromorphic.finsum, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, derivWithin.scomp_of_eq, polynomialFunctions.starClosure_topologicalClosure, innerₛₗ_apply_apply, WithCStarModule.inner_def, hasFDerivWithinAt_inv, CircleIntegrable.const_smul, DoubleCentralizer.pow_snd, RCLike.ofReal_balance, iteratedDeriv_scomp_three, fderiv_fun_pow', smoothSheafCommRing.instLocalRing_stalk, MeasureTheory.L2.inner_def, Differentiable.zpow, derivWithin.scomp, LinearMap.polar_singleton, MeromorphicOn.divisor_pow, summable_sum_mul_range_of_summable_norm', HasDerivAt.hasGradientAt, intervalIntegral.integral_div, NormedSpace.Dual.toWeakDual_continuous, HasFDerivWithinAt.const_mul, CStarMatrix.instIsUniformAddGroup, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, contMDiffOn_localFrame_coeff, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, HasSummableGeomSeries.summable_geometric_of_norm_lt_one, tsum_geometric_of_norm_lt_one, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, differentiableAt_comp_add_const, RCLike.ofReal_comp_balance, RCLike.reCLM_norm, cfcₙ_setIntegral, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, CStarMatrix.toCLM_injective, iteratedDeriv_scomp_eq_sum_orderedFinpartition, formalMultilinearSeries_geometric_apply_norm_le, RCLike.ofReal_sub, hasDerivAt_iff_isLittleO, DifferentiableAt.fun_finset_prod, Unitization.sqrt_inr, HasDerivWithinAt.hasFDerivWithinAt, Polynomial.abs_div_tendsto_atTop_of_degree_gt, Matrix.IsHermitian.eigenvectorUnitary_col_eq, contMDiffOn_baseSet_iff_localFrame_coeff, fderiv_eq_deriv_mul, nndist_right_lineMap, ContinuousLinearMap.toSesqForm_apply_coe, MeromorphicOn.extract_zeros_poles_log, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, IntervalIntegrable.mul_continuousOn, NormedRing.inverse_one_sub_nth_order, ordinaryHypergeometricSeries_radius_eq_one, MeromorphicAt.inv_iff, MeasureTheory.setIntegral_prod_mul, Matrix.toEuclideanLin_apply, iteratedDerivWithin_eq_iteratedFDerivWithin, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, fderivWithin_const_mul, HasFDerivWithinAt.multiset_prod, ContinuousLinearMap.opNorm_mul, DifferentiableOn.mul, MeasureTheory.integral_fintype_prod_eq_pow, DoubleCentralizer.smul_toProd, AnalyticOn.pow, DoubleCentralizer.toProdMulOpposite_injective, RCLike.conjCLE_apply, HasDerivAt.fun_pow', DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, ProbabilityTheory.IndepFun.integral_comp_mul_comp, NormedSpace.exp_hasFPowerSeriesOnBall, summable_finset_prod_of_summable_norm, NormedSpace.expSeries_summable, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, MeromorphicOn.divisor_natCast, RCLike.wInner_cWeight_eq_expect, lp.inftyCStarRing, PiTensorProduct.mapL_smul, BoundedContinuousFunction.coe_toContinuousMapStarₐ, RCLike.I_mul_I, DoubleCentralizer.norm_def', iteratedDerivWithin_mul_const, CStarMatrix.norm_def', DifferentiableAt.fun_div, ValueDistribution.logCounting_mul_zero_eventuallyLE, ValueDistribution.logCounting_top, LeftInvariantDerivation.lift_add, binomialSeries_radius_eq_one, meromorphicOrderAt_ne_top_iff, ContDiffAt.inv, Pi.counit_eq_adjoint, WithLp.unitization_algebraMap, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, deriv_fun_mul, LDL.lowerInv_orthogonal, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, ContDiffOn.pow, MeasureTheory.integral_Ioi_deriv_mul_eq_sub, InnerProductSpace.Core.inner_neg_left, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, iteratedDeriv_smul_const, HasStrictFDerivAt.list_prod', summable_mul_of_bigO_atTop, Meromorphic.prod, ContinuousLinearMapWOT.inducingFn_apply, entrywise_sup_norm_bound_of_unitary, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, CStarMatrix.inner_toCLM_conjTranspose_left, hasStrictDerivAt_exp_smul_const, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, Finsupp.sum_inner, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, LeftInvariantDerivation.lift_smul, MeromorphicOn.prod, geom_series_succ, DoubleCentralizer.norm_def, HasDerivWithinAt.comp, PadicInt.exists_mem_range, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', iteratedDeriv_const_mul, MDifferentiableAt.mul, Real.fourier_iteratedFDeriv, uniqueDiffWithinAt_iff_accPt, ValueDistribution.logCounting_mul_top_eventuallyLE, HasMFDerivAt.smul, EulerProduct.eulerProduct_completely_multiplicative, PositiveLinearMap.preGNS_norm_def, HasStrictDerivAt.div, PositiveLinearMap.leftMulMapPreGNS_apply, meromorphicOrderAt_mul_of_ne_zero, tsum_geometric_le_of_norm_lt_one, 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, Meromorphic.div, AntitoneOn.derivWithin_nonpos, MDifferentiableAt.pow, MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul, LinearMap.extendTo𝕜'_apply, Differentiable.pow, fromTangentSpace_mfderiv_smul_apply, dslope_sub_smul, hasDerivAt_id', Matrix.IsHermitian.eigenvectorUnitary_mulVec, deriv_fun_smul, HasStrictDerivAt.mul, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, MeasureTheory.convolution_lsmul, Polynomial.exists_aroots_norm_sub_lt_of_norm_coeff_sub_lt, coe_innerSL_apply, fderivWithin_finset_prod, HasDerivAt.pow, deriv_fderiv, summable_mul_of_summable_norm, meromorphicNFAt_mul_iff_left, Matrix.exp_add_of_commute, DoubleCentralizer.central, Matrix.PosSemidef.det_sqrt, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, fun_meromorphicOrderAt_smul, HasDerivAt.differentiableAt, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, fun_meromorphicOrderAt_zpow, TensorProduct.lidIsometry_apply, HasStrictDerivAt.const_mul, Unitary.openPartialHomeomorph_symm_apply, ContinuousLinearMap.hasDerivAt, DifferentiableAt.star_conj, meromorphicNFOn_fun_prod, PadicInt.fwdDiff_tendsto_zero, CompletelyPositiveMap.instLinearMapClassComplex, EulerProduct.eulerProduct_hasProd, intervalIntegral.integral_mul_deriv_eq_deriv_mul, Module.Basis.coe_toOrthonormalBasis_repr, hasFDerivAt_ringInverse, hasGradientAtFilter_iff_isLittleO, DifferentiableWithinAt.mul, hasGradientAt_iff_isLittleO, contDiffOn_one_iff_derivWithin, fderiv_smul, LeftInvariantDerivation.comp_L, HasDerivAt.fun_pow, AffineMap.differentiableWithinAt, Matrix.PosSemidef.trace_eq_zero_iff, HasGradientWithinAt.differentiableWithinAt, LinearMap.trace_eq_sum_inner, MeromorphicOn.divisor_inv, ContDiffAt.div_const, HasDerivWithinAt.fun_pow', MeromorphicOn.id, Module.Dual.extendRCLike_apply, HasCompactSupport.hasDerivAt_convolution_right, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, MeasureTheory.lpNorm_mul_natCast, hasDerivWithinAt_neg, DifferentiableWithinAt.const_mul, Unitary.norm_sub_one_lt_two_iff, MeromorphicOn.divisor_fun_pow, differentiableWithinAt_pow, AnalyticAt.deriv, DifferentiableWithinAt.fun_pow, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, tsum_mul_tsum_of_summable_norm, Matrix.gram_eq_conjTranspose_mul, contDiffOn_prod', IsLocalFrameOn.coeff_congr, nnnorm_cfcₙ_nnreal_lt, LinearMap.hasStrictDerivAt, FiniteDimensional.rclike_to_real, HasDerivAtFilter.isBigO_sub_rev, ContDiffAt.pow, HasDerivWithinAt.fun_finset_prod, differentiableOn_dslope_of_notMem, MeromorphicOn.divisor_fun_prod, RCLike.wInner_neg_right, PositiveLinearMap.instContinuousLinearMapClassComplexOfLinearMapClassOfOrderHomClass, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, NormedSpace.inclusionInDoubleDual_norm_eq, Meromorphic.MeromorphicOn.countable_compl_analyticAt, SchwartzMap.smulLeftCLM_sum, DifferentiableAt.inverse, cfcₙHom_integral, Polynomial.abs_tendsto_atTop_iff, fderiv_mul_const', LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, EulerProduct.eulerProduct, deriv_id'', hasStrictFDerivAt_exp, AnalyticOn.fun_zpow, IsSelfAdjoint.neg_algebraMap_norm_le_self, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, mul_neg_geom_series, deriv_const_mul_field', NormedSpace.inclusionInDoubleDualWeak_apply_apply, deriv_fun_div, Function.FactorizedRational.mulSupport, PadicInt.coe_addChar_of_value_at_one, RCLike.summable_ofReal, ContinuousMapZero.integral_apply, HasDerivAt.hasFDerivAt, HasDerivAtFilter.iterate, RCLike.imLm_coe, SchwartzMap.fourierMultiplierCLM_sum, Meromorphic.zpow, sum_mul_eq_sub_integral_mul', Finset.analyticWithinAt_fun_prod, contDiffWithinAt_prod', hasFDerivAt_norm_rpow, Function.FactorizedRational.meromorphicOrderAt_eq, iteratedDeriv_fun_id_zero, unitary.norm_sub_eq, DoubleCentralizer.neg_snd, MeromorphicOn.divisor_sub_const_self, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, sum_inner, iteratedDeriv_comp_sub_const, lp.zeroBasis_repr_apply, Matrix.linfty_opNNNorm_toMatrix, mdifferentiableOn_localFrame_coeff, NormedSpace.expSeries_hasSum_exp, analyticOrderAt_ne_zero, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, contDiffOn_prod, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, InnerProductSpace.Core.inner_neg_right, norm_commutator_sub_one_le, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, RCLike.conjCLE_coe, contDiffOn_stereoToFun, Polynomial.abs_tendsto_atTop, HasDerivWithinAt.mul, Units.instIsManifoldModelWithCornersSelf, LeftInvariantDerivation.evalAt_coe, Matrix.IsHermitian.trace_eq_sum_eigenvalues, selfAdjoint.expUnitary_zero, fderiv_inverse, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, hasGradientAt_iff_isLittleO_nhds_zero, analyticAt_smul, fderiv_pow, Polynomial.differentiable_aeval, meromorphicNFAt_finprod, DoubleCentralizer.range_toProd, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, AnalyticWithinAt.inv, Function.FactorizedRational.finprod_eq_fun, hasDerivAtFilter_neg, tsum_pow_div_one_sub_eq_tsum_sigma, HilbertBasis.hasSum_repr, HasFDerivAt.pow, NormedSpace.analyticAt_exp_of_mem_ball, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, meromorphicOrderAt_const_natCast, Finset.analyticWithinAt_prod, innerSL_inj, continuousAt_dslope_same, PositiveLinearMap.preGNS_inner_def, fderivWithin_inv', hasDerivWithinAt_pow, hasDerivWithinAt_iff_hasFDerivWithinAt, differentiableAt_star_conj_iff, StrongDual.toLp_of_not_memLp, DoubleCentralizer.add_fst, MeromorphicOn.divisor_prod, differentiableWithinAt_of_derivWithin_ne_zero, MeromorphicOn.divisor_intCast, TensorProduct.inner_lid_lid, derivWithin_div_const, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, cfcₙAux_id, NormedSpace.inclusionInDoubleDual_norm_le, AnalyticOnNhd.eval_linearMap, RCLike.rank_le_two, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, Real.fourier_mul_convolution_eq, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, ConvexOn.sSup_of_countable_affine_eq, MeasureTheory.Integrable.toL1_smul, RCLike.reCLM_coe, HasStrictDerivAt.to_local_left_inverse, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, DifferentiableAt.inner, MeasureTheory.condExp_ofNat, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, IsGreatest.nnnorm_cfcₙ_nnreal, HasFDerivWithinAt.mul_const, iteratedDerivWithin_smul_const, MeromorphicOn.analyticAt_mem_codiscreteWithin, DifferentiableOn.inv, MeasureTheory.integral_deriv_mul_eq_sub, CStarAlgebra.span_nonneg_inter_unitClosedBall, fderiv_pow', smoothSheafCommRing.isUnit_stalk_iff, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, iteratedFDerivWithin_eq_equiv_comp, EuclideanSpace.coe_proj, summable_norm_sum_mul_range_of_summable_norm, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, Matrix.l2_opNNNorm_mulVec, Orthonormal.inner_left_right_finset, meromorphicOrderAt_id, differentiableAt_inv_iff, Finsupp.inner_sum, LinearMap.deriv, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, HasFDerivWithinAt.inner, DoubleCentralizer.smul_fst, logDeriv_div, DifferentiableAt.conj_conj, selfAdjoint.continuous_expUnitary, EulerProduct.eulerProduct_tprod, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, Polynomial.derivWithin, fdifferential_apply, LinearMap.extendTo𝕜_apply, cfcHom_integral, coe_ringEquiv_lpBCF, MeromorphicAt.fun_pow, Matrix.l2_opNorm_conjTranspose_mul_self, MeromorphicOn.divisor_sub_const_of_ne, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, Differentiable.fun_pow, integral_const_mul_of_integrable, Matrix.isSymmetric_toEuclideanLin_iff, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, inner_neg_right, Orthonormal.isHilbertSum, MeromorphicOn.fun_pow, iteratedDeriv_fun_id, OrthonormalBasis.singleton_apply, inner_eq_sum_norm_sq_div_four, fderiv_pow_ring, MeromorphicOn.div, DifferentiableAt.comp_ringHom, selfAdjoint.unitarySelfAddISMul_coe, Polynomial.abs_tendsto_atBot_iff, deriv_const_mul_field, integral_conj, Matrix.exp_nsmul, Module.Basis.coe_toOrthonormalBasis_repr_symm, LinearMap.toSeminorm_comp, Differentiable.inverse, meromorphicNFAt_inv, DifferentiableOn.div_const, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, hasSum_sum_range_mul_of_summable_norm', fderivWithin_fun_mul', ProperCone.innerDual_singleton, differentiable_inner, LeftInvariantDerivation.coe_sub, analyticAt_iff_analytic_fun_mul, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, RCLike.im_eq_conj_sub, LDL.lower_conj_diag, hasFDerivAt_list_prod', lp.infty_coeFn_mul, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, InnerProductSpace.rankOne_def, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, Meromorphic.countable_compl_analyticAt, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, SchwartzMap.integral_mul_laplacian_right_eq_left, Finset.norm_prod_one_add_sub_one_le, ContDiffWithinAt.mul, stereoToFun_apply, deriv_inv, PointwiseConvergenceCLM.equivWeakDual_apply, MeasureTheory.lpNorm_fun_mul_natCast, Polynomial.fderiv_aeval, dslope_sub_smul_of_ne, iteratedDerivWithin_comp_three, Module.Basis.equivFunL_symm_apply_repr, meromorphicOrderAt_pow_id_sub_const, fderiv_mul', iter_deriv_zpow, Units.instLieGroupModelWithCornersSelf, natCast_le_analyticOrderAt, VectorField.lieBracket_fmul_left, ClosedSubmodule.orthogonal_eq_inter, PositiveLinearMap.toPreGNS_ofPreGNS, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, HasDerivAt.isBigO_sub, LeftInvariantDerivation.left_invariant'', NormedSpace.expSeries_summable', MeasureTheory.L2.inner_indicatorConstLp_one, hasStrictFDerivAt_iff_hasStrictDerivAt, RCLike.ofReal_neg, contDiff_nat_iff_iteratedDeriv, Unitary.norm_sub_one_sq_eq, DifferentiableAt.const_mul, meromorphicNFOn_fun_inv, HasDerivAtFilter.hasGradientAtFilter, ContinuousLinearMapWOT.isInducing_inducingFn, PositiveLinearMap.exists_norm_apply_le, EulerProduct.eulerProduct_completely_multiplicative_tprod, DoubleCentralizer.star_fst, summable_prod_mul_pow, RCLike.summable_conj, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, iteratedDeriv_mul, meromorphicOrderAt_inv, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDeriv_right, DifferentiableWithinAt.fun_mul, meromorphicOrderAt_fun_prod, normRingNorm_toFun, CovariantDerivative.affine_combination_toFun, AnalyticOn.zpow_nonneg, hasFDerivAt_exp_smul_const', fromTangentSpace_mfderiv_smul', Matrix.exp_zsmul, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, LinearMap.toMatrixOrthonormal_symm_apply, RCLike.wInner_sub_left, LinearMap.toMatrix_innerₛₗ_apply, NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, Matrix.exp_sum_of_commute, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, PointwiseConvergenceCLM.equivWeakDual_symm_apply, RCLike.wInner_one_eq_inner, ContDiffAt.div, AffineMap.hasDerivAt, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, MDifferentiableOn.prod, iteratedDerivWithin_zpow, HasStrictDerivAt.fun_finset_prod, Matrix.inner_toEuclideanCLM, meromorphicOrderAt_eq_int_iff, dist_lineMap_right, hasFDerivWithinAt_pow', MeasureTheory.lpNorm_fun_natCast_mul, AffineMap.differentiableAt, contMDiffOn_baseSet_localFrame_coeff, meromorphicNFAt_iff_analyticAt_or, Matrix.PosSemidef.toLinearMap₂'_zero_iff, MeasureTheory.Lp.smul_zero, RCLike.sqrt_eq_real_add_ite, extDerivFun_zero, DoubleCentralizer.add_snd, WeakDual.isBounded_iff_isVonNBounded, AnalyticWithinAt.aeval_polynomial, hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, fromTangentSpace_mfderiv_smul_apply', ProbabilityTheory.IndepFun.integral_fun_mul_eq_mul_integral, Matrix.instNonnegSpectrumClass, ContDiffWithinAt.inv, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, innerSLFlip_apply_apply, Continuous.cfcₙ_nnreal, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, finrank_euclideanSpace, hasDerivAt_inv, DoubleCentralizer.norm_snd, ConvexOn.sSup_of_nat_affine_eq, AnalyticOnNhd.aeval_mvPolynomial, ContDiffAt.derivWithin, contMDiff_smul, MeromorphicOn.divisor_ofNat, DoubleCentralizer.nnnorm_fst, fderivWithin_mul_const', summable_powerSeries_of_norm_lt_one, ContDiffOn.derivWithin, MeasureTheory.Lp.norm_smul_le, fderivWithin_smul, Function.FactorizedRational.meromorphicNFOn_univ, AnalyticWithinAt.fun_inv, Orthonormal.inner_finsupp_eq_sum_right, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, meromorphicNFOn_mul_iff_left_of_analyticOnNhd, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, analyticOrderAt_mul, Module.Basis.equivFunL_apply, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, ContinuousAt.cfcₙ_nnreal, hasFDerivAt_list_prod_finRange', summable_mul_of_summable_norm', contDiffOn_euclidean, HasGradientAt.hasFDerivAt, LinearMap.hasDerivWithinAt, summable_choose_mul_geometric_of_norm_lt_one, CStarMatrix.toCLM_apply_single, Real.fourier_fderiv, MeromorphicOn.inv_iff, ContDiffOn.differentiableOn_iteratedDerivWithin, ContinuousMap.adjoin_id_eq_span_one_union, one_memℓp_infty, meromorphicTrailingCoeffAt_const, HasFDerivWithinAt.norm_sq, ordinaryHypergeometric_radius_top_of_neg_nat₂, ContinuousLinearMapWOT.isEmbedding_inducingFn, LinearMap.tracePositiveLinearMap_apply, DifferentiableWithinAt.div_const, integral_inner, iteratedDerivWithin_scomp_three, Asymptotics.continuousAt_iff_isLittleO, CStarAlgebra.nnnorm_sub_mul_self_le, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, ZSpan.coe_floor_self, Orthonormal.linearIsometryEquiv_symm_apply_single_one, Matrix.PosDef.commute_iff, AddChar.tendsto_eval_one_sub_pow, RCLike.finrank_le_two, NormedSpace.inclusionInDoubleDualWeak_apply, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, dist_homothety_self, iteratedFDeriv_eq_equiv_comp, sum_mul_eq_sub_integral_mul₀', meromorphicTrailingCoeffAt_inv, Unitization.norm_eq_sup, MeromorphicAt.id, DifferentiableAt.inv, Matrix.ofLp_toEuclideanCLM, HasDerivWithinAt.comp_hasDerivAt_of_eq, AnalyticAt.fun_zpow, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, NormedSpace.expSeries_div_summable, CStarMatrix.toCLM_apply_eq_sum, DifferentiableWithinAt.inv, deriv_comp, summable_descFactorial_mul_geometric_of_norm_lt_one, differentiableOn_pow, tsum_choose_mul_geometric_of_norm_lt_one, hasDerivAt_exp_smul_const, WithCStarModule.pi_norm, DifferentiableAt.fun_pow, MeromorphicOn.divisor_fun_zpow, IntervalIntegrable.mul_const, meromorphicNFOn_inv, derivWithin_mul_const_field, logDeriv_apply, iteratedDerivWithin_one_div, DifferentiableWithinAt.fun_div, ContDiffWithinAt.derivWithin, fderivWithin_fun_pow, RCLike.sqrt_map, PadicInt.mahlerTerm_one, HasStrictDerivAt.hasStrictFDerivAt, RCLike.inner_tmul_eq, deriv.scomp, AnalyticAt.analyticOrderAt_eq_natCast, inr_comp_cfcₙHom_eq_cfcₙAux, CFC.monotoneOn_one_sub_one_add_inv_real, HasFDerivAt.multiset_prod, extDerivFun_add, unitary.norm_argSelfAdjoint, dist_self_homothety, Matrix.l2_opNNNorm_mul, IsLocalFrameOn.eventually_eq_sum_coeff_smul, Differentiable.mul_const, lp.infty_coeFn_pow, HasFDerivAt.mul_const, NormedSpace.expSeries_radius_eq_top, differentiableWithinAt_euclidean, lp.infty_smulCommClass, MeasureTheory.integral_prod_mul, iteratedDerivWithin_fun_id, DoubleCentralizer.neg_toProd, Matrix.isPositive_toEuclideanLin_iff, ContinuousWithinAt.cfcₙ_nnreal, padic_polynomial_dist, VectorField.mlieBracketWithin_smul_left, ContDiff.inner, CStarMatrix.ofMatrix_eq_ofMatrixL, HasGradientAt.differentiableAt, NormedSpace.exp_sum, Function.FactorizedRational.analyticAt, HasFDerivWithinAt.mul_const', HasDerivAt.comp_hasFDerivWithinAt_of_eq, HasDerivAt.comp_const_sub, fderiv_const_mul, ValueDistribution.logCounting_mul_top_le, PadicInt.zmodRepr_spec, Polynomial.exists_roots_norm_sub_lt_of_norm_coeff_sub_lt, DoubleCentralizer.algebraMap_snd, CStarMatrix.instIsTopologicalAddGroup, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, NormedSpace.invOf_exp, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, contDiffAt_inv, hasStrictFDerivAt_norm_sq, lp.zeroBasis_apply, LinearMap.adjoint_toSpanSingleton, DoubleCentralizer.one_snd, ContDiff.differentiable_iteratedDeriv, MeromorphicOn.divisor_fun_mul, MeromorphicOn.divisor_zpow, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, algebraMap_memℓp_infty, contDiffAt_prod, fderiv_pow_ring', derivWithin_pow_field, HasDerivAtFilter.isBigO_sub, Function.HasTemperateGrowth.pow, iteratedDeriv_comp_neg, unitary.two_mul_one_sub_le_norm_sub_one_sq, NormedRing.inverse_one_sub, Matrix.posDef_iff_eq_conjTranspose_mul_self, Polynomial.differentiableAt_aeval, PowerSeries.IsRestricted.neg, Filter.Tendsto.cfcₙ_nnreal, HasDerivAt.fun_div, hasDerivAt_id, contDiff_smul_const, CStarMatrix.toCLM_apply, DoubleCentralizer.algebraMap_toProd, IsStarProjection.le_tfae, RCLike.hasSum_conj, deriv_update, DifferentiableWithinAt.finset_prod, ProbabilityTheory.IndepFun.integral_fun_comp_mul_comp, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, VectorField.mlieBracketWithin_smul_right, meromorphicOrderAt_div, DoubleCentralizer.instIsCentralScalar, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, HasDerivWithinAt.const_mul, deriv_zpow', LeftInvariantDerivation.map_add, Module.Dual.extendRCLikeₗ_apply, binomialSeries_radius_eq_top_of_nat, HasDerivWithinAt.div, meromorphicOrderAt_smul, hasFDerivAt_pow, Matrix.l2_opNNNorm_def, ValueDistribution.logCounting_top_mul_eventually_le, HasGradientAtFilter.isBigO_sub, MeromorphicOn.inv, spectrum.hasDerivAt_resolvent, mdifferentiableOn_baseSet_localFrame_coeff, LinearMap.polar_gc, hasDerivAt_exp, contDiffOn_succ_iff_deriv_of_isOpen, LeftInvariantDerivation.coe_add, selfAdjoint.realPart_unitarySelfAddISMul, MeasureTheory.Lp.add_smul, deriv_smul, nnnorm_cfcₙ_nnreal_lt_iff, PositiveLinearMap.gnsStarAlgHom_apply, iter_deriv_pow', cfc_integral, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, IsStarProjection.le_iff_sub, EuclideanSpace.basisFun_repr, hasStrictFDerivAt_inv, MeromorphicAt.eventually_analyticAt, AnalyticAt.aeval_polynomial, MeasureTheory.Integrable.toL1_smul', MeromorphicOn.eventually_codiscreteWithin_analyticAt, ArithmeticFunction.IsMultiplicative.eulerProduct, deriv_neg'', DoubleCentralizer.pow_toProd, OrthonormalBasis.equiv_apply_euclideanSpace, NormedRing.inverse_add_norm_diff_second_order, IsLocalFrameOn.coeff_apply_of_notMem, PadicInt.limNthHom_spec, fderiv_inv, meromorphicNFAt_fun_prod, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, contMDiffAt_localFrame_coeff, derivWithin_fun_smul, HasFDerivAt.fun_pow', tendsto_sum_mul_atTop_nhds_one_sub_integral₀, Unitary.openPartialHomeomorph_target, iteratedDeriv_eq_equiv_comp, HasMFDerivWithinAt.mul', WithCStarModule.pi_inner, ContDiffOn.div, summable_powerSeries_of_norm_lt, ContDiff.iterate_deriv, MeromorphicOn.logDeriv, HasFDerivWithinAt.hasDerivWithinAt, hasDerivAt_iff_hasFDerivAt, ContDiffOn.fun_div, ContDiff.deriv', RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, sum_mul_eq_sub_integral_mul₁, PadicInt.continuous_addChar_of_value_at_one, norm_derivWithin_eq_norm_fderivWithin, differentiableWithinAt_dslope_of_ne, LinearMap.polar_weak_closed, hasGradientAt_iff_tendsto, AffineMap.derivWithin, Meromorphic.fun_zpow, AnalyticOn.inv, InnerProductSpace.Core.inner_sub_sub_self, DoubleCentralizer.zero_fst, Meromorphic.fun_mul, intervalIntegral.integral_deriv_mul_eq_sub, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, fdifferential_comp, CStarMatrix.mul_entry_mul_eq_inner_toCLM, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, RCLike.sqrt_neg_one, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', LeftInvariantDerivation.coe_injective, NormedSpace.exp_hasFPowerSeriesAt_zero, Matrix.IsHermitian.eigenvectorUnitary_apply, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, fderiv_apply_one_eq_deriv, EulerProduct.eulerProduct_hasProd_mulIndicator, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, AnalyticAt.fun_mul, HasFDerivAt.inner, meromorphicTrailingCoeffAt_id_sub_const, LinearMap.toMatrixOrthonormal_apply, Function.HasTemperateGrowth.fun_mul, deriv_inv'', DifferentiableAt.mul_const, OrthogonalFamily.inner_sum, cfcₙAux_injective, MeromorphicNFAt.zpow, EuclideanSpace.inner_eq_star_dotProduct, HasFDerivAt.const_mul, Meromorphic.pow, LeftInvariantDerivation.coe_neg, StrongDual.toLpₗ_apply, NormedSpace.exp_nsmul, PadicInt.fwdDiff_iter_le_of_forall_le, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, Valued.integer.coe_span_singleton_eq_closedBall, Unitary.spectrum_subset_slitPlane_iff_norm_lt_two, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, hasSum_geom_series_inverse, Orientation.inner_mul_areaForm_sub', inner_sub_left, DifferentiableAt.of_dslope, DifferentiableOn.fun_inv, AnalyticOnNhd.eval_polynomial, differentiableOn_neg, fderivWithin_multiset_prod, HasFDerivAt.mul, MDifferentiable.mul, LinearMap.continuous_of_nonzero_on_open, hasSum_coe_mul_geometric_of_norm_lt_one, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, DoubleCentralizer.nnnorm_fst_eq_snd, Unitization.norm_def, Submodule.det_reflection, selfAdjoint.star_coe_unitarySelfAddISMul, deriv_neg', AnalyticAt.of_meromorphicOrderAt_pos, MeromorphicOn.fun_zpow, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, hasSum_choose_mul_geometric_of_norm_lt_one', ContinuousLinearMap.extendTo𝕜_apply, CPolynomialOn.deriv, MeromorphicAt.pow, AnalyticAt.iterated_deriv, hasStrictFDerivAt_pow', Polynomial.hasStrictDerivAt_aeval, DoubleCentralizer.one_fst, AnalyticWithinAt.div_const, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, DifferentiableWithinAt.pow, AnalyticOnNhd.deriv_of_isOpen, CFC.log_pow', differentiableAt_iff_comp_const_sub, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ProbabilityTheory.covarianceBilin_apply_basisFun, hasGradientAt_iff_hasFDerivAt, MeromorphicOn.countable_compl_analyticAt_inter, MeromorphicOn.zpow, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDeriv_right, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, HasDerivWithinAt.fun_mul, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', AnalyticOnNhd.mul, HasDerivWithinAt.pow', AnalyticOnNhd.fun_zpow, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, Matrix.exp_conj, MeromorphicAt.prod, Orthonormal.inner_finsupp_eq_sum_left, fderiv_deriv, DifferentiableOn.finset_prod, MeasureTheory.Lp.coeFn_lpSMul, meromorphicOrderAt_zpow_id_sub_const, ValueDistribution.logCounting_zero_mul_eventually_le, AnalyticWithinAt.pow, AnalyticWithinAt.fun_zpow_nonneg, contDiffAt_inner, lp.summable_inner, spec_cfcₙAux, iteratedDerivWithin_pow, hasSum_sum_range_mul_of_summable_norm, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, ContinuousOn.cfcₙ_nnreal', hasFDerivAt_exp_smul_const, Differentiable.inner, lp.infty_coeFn_one, LeftInvariantDerivation.map_smul, HasDerivAt.hasFDerivAt_equiv, AnalyticOn.zpow, Polynomial.isBoundedUnder_abs_atBot_iff, analyticOrderAt_pow, fderiv_finset_prod, hasStrictFDerivAt_list_prod_attach', deriv_single, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, DoubleCentralizer.sub_fst, NumberField.HeightOneSpectrum.instFiniteAdicCompletionRingOfIntegers, Module.Basis.parallelepiped_eq_map, hasFPowerSeriesOnBall_inv_one_sub, iteratedDeriv_comp_two, LinearMap.mem_polar_singleton, meromorphicNFOn_prod, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasFPowerSeriesOnBall_inverse_one_sub, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, NormedSpace.expSeries_div_summable_of_mem_ball, RCLike.ofRealCLM_norm, Matrix.IsHermitian.eigenvectorUnitary_coe, HasStrictDerivAt.comp, Complex.sqrt_map, hasStrictFDerivAt_ringInverse, fromTangentSpace_mfderiv_smul, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, DifferentiableOn.fun_pow, RCLike.im_tsum, MeasureTheory.convolution_lsmul_swap, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, HasDerivAtFilter.comp_of_eq, AnalyticAt.hasFPowerSeriesAt, DifferentiableAt.comp_semilinear₁, AnalyticOnNhd.zpow, Matrix.toEuclideanLin_eq_toLin, DoubleCentralizer.pow_fst, StrongDual.toLpₗ_of_not_memLp, MeromorphicAt.meromorphicTrailingCoeffAt_smul, fderiv_smul_const, analyticOrderAt_id, Matrix.isHermitian_iff_isSymmetric, Matrix.PosSemidef.inv_sqrt, hasStrictFDerivAt_finset_prod, AnalyticOnNhd.deriv, instContMDiffInv₀ModelWithCornersSelf, deriv_zpow, HasDerivWithinAt.comp_hasFDerivAt, inner_eq_neg_one_iff_of_norm_eq_one, MeromorphicAt.fun_prod, derivWithin_inv', FormalMultilinearSeries.apply_eq_prod_smul_coeff, EuclideanSpace.basisFun_inner, CircleIntegrable.const_fun_smul, MeromorphicNFOn.fun_zpow, DifferentiableWithinAt.div, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, differentiableAt_euclidean, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, AnalyticAt.fun_pow, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, HasFPowerSeriesOnBall.r_eq_top_of_exists, LeftInvariantDerivation.coe_smul, HasFPowerSeriesAt.deriv, differentiable_pow, DifferentiableOn.div, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, CStarAlgebra.conjugate_le_norm_smul', hfdifferential_apply, AnalyticAt.exists_eq_sum_add_pow_mul, Differentiable.const_mul, MeromorphicAt.fun_mul, iteratedDerivWithin_mul, HasDerivWithinAt.inv, SchwartzMap.smulLeftCLM_neg, ContinuousLinearMap.opNNNorm_mul, differentiableOn_inverse, MeasureTheory.integral_fin_nat_prod_eq_prod, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, derivWithin_comp, CFC.nnrpow_le_nnrpow, LinearMap.tripolar_eq_polar, RCLike.toIsOrderedAddMonoid, AnalyticAt.analyticOrderAt_comp, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, analyticAt_comp_iff_of_deriv_ne_zero, logDeriv_inv, Matrix.exp_units_conj', ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, lp.infty_coeFn_intCast, VectorField.lieBracket_smul_left, DoubleCentralizer.algebraMap_fst, differentiableOn_euclidean, RCLike.reLm_coe, Convex.norm_image_sub_le_of_norm_deriv_le, ContinuousLinearMap.adjoint_toSpanSingleton, hasStrictFDerivAt_exp_zero_of_radius_pos, ContinuousLinearMap.toBilinForm_injective, tsum_prod_pow_eq_tsum_sigma, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, CStarAlgebra.span_nonneg_inter_closedBall, toSpanSingleton_derivWithin, spectrum.hasFDerivAt_resolvent, MeasureTheory.Lp.zero_smul, meromorphicNFAt_prod, deriv_comp_of_eq, contDiff_prod', EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm', integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, AlgHom.coe_toContinuousLinearMap, Matrix.posSemidef_iff_eq_sum_vecMulVec, AnalyticAt.analyticOrderAt_ne_top, HasFDerivWithinAt.pow', ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, HasDerivAt.const_mul, AnalyticWithinAt.div, MeasureTheory.lpNorm_one, HasStrictFDerivAt.hasStrictDerivAt, EuclideanSpace.inner_basisFun_real, innerSLFlip_apply, intCast_memℓp_infty, fderivWithin_derivWithin, hasDerivAt_const_mul, RCLike.sqrt_neg_I, HasFDerivAt.list_prod', meromorphicNFOn_finprod, InnerProductSpace.Core.inner_sub_left, AnalyticWithinAt.fun_pow, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, Polynomial.fderivWithin_aeval, CStarAlgebra.star_left_conjugate_le_norm_smul, norm_iteratedFDeriv_prod_le, hasFDerivAt_pow', EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Finset.analyticAt_prod, Polynomial.fderivWithin, contDiffOn_of_differentiableOn_deriv, MeasureTheory.Lp.smul_def, IsLocalFrameOn.eq_iff_coeff, iteratedDeriv_comp_const_sub, Function.RCLike.hasTemperateGrowth_ofReal, PadicInt.instIsAdicCompleteMaximalIdeal, Polynomial.hasDerivAt, MeasureTheory.Lp.smul_neg, RCLike.conj_I, Unitary.two_mul_one_sub_le_norm_sub_one_sq, contDiff_inner, Matrix.linfty_opNorm_toMatrix, Commute.expUnitary_add, cfcL_integral, innerSL_apply_norm, iter_deriv_inv, Matrix.frobenius_norm_mul, Matrix.star_dotProduct_gram_mulVec, hasStrictFDerivAt_exp_zero, RCLike.hasSum_iff, formalMultilinearSeries_geometric_radius, ContDiff.inv, MeromorphicOn.fun_mul, integral_mul_const_of_integrable, AccPt.uniqueDiffWithinAt, RCLike.sqrt_I, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, IntervalIntegrable.continuousOn_mul, hasDerivWithinAt_zpow, Monotone.deriv_nonneg, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, derivWithin_fun_finset_prod, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, DifferentiableOn.pow, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, iteratedDerivWithin_smul, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, HasDerivWithinAt.fun_pow, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, Matrix.instIsOrderedAddMonoid, Summable.mul_tendsto_const, HasMFDerivAt.prod, iteratedDeriv_eq_iteratedFDeriv, AnalyticOnNhd.zpow_nonneg, iter_deriv_inv', toMatrix_innerSL_apply, analyticOn_inv, HasDerivAt.mul, AnalyticOnNhd.fun_pow, DoubleCentralizer.mul_fst, Matrix.PosSemidef.re_dotProduct_nonneg, MeasureTheory.lpNorm_div_natCast, Polynomial.isBoundedUnder_abs_atTop_iff, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivAt, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, AnalyticWithinAt.zpow_nonneg, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MeasureTheory.Lp.smul_comm, AnalyticOn.div, lp.infty_coeFn_natCast, Finset.analyticOn_fun_prod, AnalyticAt.zpow_nonneg, Differentiable.fun_finset_prod, PositiveLinearMap.ofPreGNS_toPreGNS, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, deriv_smul_const, CStarMatrix.normedSpaceCore, deriv_pow_field, HasFPowerSeriesAt.hasDerivAt, deriv_comp_neg, meromorphicOrderAt_pow, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, MeasureTheory.Lp.smul_add, contDiff_mul, deriv_finset_prod, logDeriv_prod, meromorphicTrailingCoeffAt_prod, deriv_div, PadicInt.norm_sub_modPart, inner_sub_right, Memℓp.infty_mul, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, AnalyticOnNhd.div, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, differentiableWithinAt_inverse, AnalyticAt.analyticAt_localInverse, NormedSpace.exp_neg, Meromorphic.logDeriv, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, MeromorphicOn.extract_zeros_poles, cfcₙAux_mem_range_inr, DifferentiableOn.inverse, ContinuousMap.adjoin_id_eq_span_one_add, LeftInvariantDerivation.map_neg, meromorphicAt_mul_iff_of_ne_zero, Unitization.nnnorm_eq_sup, contDiffOn_of_continuousOn_differentiableOn_deriv, norm_deriv_eq_norm_fderiv, PadicInt.fwdDiff_mahlerSeries, DoubleCentralizer.zero_toProd, deriv_id, CStarModule.inner_mul_inner_swap_le, MeasureTheory.L2.mem_L1_inner, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, NormedSpace.exp_smul, fun_meromorphicOrderAt_zpow_id_sub_const, hasDerivAtFilter_iff_hasFDerivAtFilter, AnalyticOn.fun_zpow_nonneg, AnalyticWithinAt.zpow, VectorField.lieBracketWithin_smul_right, ContDiffWithinAt.div, hasDerivAt_exp_smul_const_of_mem_ball', ContDiff.iterate_deriv', differentiable_neg, RCLike.wInner_neg_left, hasDerivAt_neg, LinearMap.derivWithin, inner_gradientWithin_left, HasDerivWithinAt.mul_const, HasCompactSupport.hasDerivAt_convolution_left, PadicInt.continuous_multichoose, Polynomial.hasStrictDerivAt, deriv_const_mul, Unitary.norm_sub_eq, contDiffWithinAt_prod, CFC.monotone_sqrt, contDiff_smul, derivWithin_fun_pow, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, VectorField.mpullback_mfderivWithin_apply_smul, HasMFDerivWithinAt.mul, HilbertBasis.repr_self, nnnorm_commutator_sub_one_le, CStarAlgebra.conjugate_le_norm_smul, summable_geometric_iff_norm_lt_one, DoubleCentralizer.norm_fst, AnalyticAt.fun_inv, summable_pow_mul_geometric_of_norm_lt_one, BoundedContinuousFunction.coe_toContinuousMapₐ, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, MeromorphicOn.divisor_smul, iteratedDerivWithin_eq_equiv_comp, Polynomial.differentiableAt, NormedSpace.expSeries_div_hasSum_exp, DoubleCentralizer.coe_fst, iteratedDeriv_mul_const_field, fderiv_fun_mul, ContDiffWithinAt.inner, norm_cfcₙ_one_sub_one_add_inv_lt_one, HasFDerivAt.pow', continuousOn_cfcₙ_nnreal, Units.val_oneSub, HasStrictFDerivAt.pow', hasFDerivWithinAt_iff_hasGradientWithinAt, Polynomial.abs_tendsto_atBot, lp.infty_isScalarTower, MeromorphicOn.fun_div, ValueDistribution.logCounting_top_mul_le, contMDiffAt_iff_localFrame_coeff, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, StrongDual.extendRCLike_apply, Polynomial.exists_monic_and_natDegree_eq_and_norm_map_algebraMap_coeff_sub_lt, HasStrictFDerivAt.multiset_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, HasDerivAt.div_const, Matrix.toEuclideanLin_apply_piLp_toLp, Matrix.linfty_opNorm_eq_opNorm, ValueDistribution.logCounting_pow_zero, RCLike.ofReal_tsum, hasDerivAt_pow, contDiff_succ_iff_deriv, Submodule.mem_adjoint_iff, NormedRing.inverse_add_norm_diff_first_order, PadicInt.norm_sub_zmodRepr_lt_one, MeromorphicNFOn.zpow, AnalyticAt.fun_div, Function.FactorizedRational.extractFactor, integrableOn_mul_sum_Icc, PadicInt.mahlerEquiv_apply, HasDerivWithinAt.isLittleO, contDiffOn_succ_iff_derivWithin, tsum_mul_tsum_of_summable_norm', LinearMap.isSymmetric_iff_sesqForm, hasDerivWithinAt_derivWithin_iff, hasStrictDerivAt_exp, HasStrictFDerivAt.mul_const', HasDerivAt.div, HasDerivAt.continuousAt_div, Irreducible.maximalIdeal_eq_closedBall, HasDerivWithinAt.pow, LinearMap.bound_of_sphere_bound, CFC.log_pow, intervalIntegral.integral_smul_const, MeasureTheory.Lp.neg_smul, Polynomial.deriv, HilbertBasis.summable_inner_mul_inner, HasDerivAtFilter.isEquivalent_sub, AffineMap.differentiableOn, differentiableAt_pow, AnalyticOnNhd.div_const, AlgHom.toContinuousLinearMap_norm, ContDiffWithinAt.pow, iteratedDeriv_comp_three, Polynomial.hasFDerivWithinAt_aeval, Meromorphic.fun_prod, Differentiable.div_const, selfAdjoint.val_re_map_spectrum, derivWithin_comp_add_const, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, RCLike.wInner_one_const_left, fderivWithin_list_prod', fun_meromorphicOrderAt_mul, LinearMap.continuous_of_isClosed_ker, Unitization.complex_cfcₙ_eq_cfc_inr, LDL.diag_eq_lowerInv_conj, iteratedDerivWithin_id, HasDerivAt.iterate, differentiableAt_iff_comp_add_const, HasFDerivWithinAt.fun_mul', ContDiffOn.div_const, BoundedContinuousFunction.toContinuousMapₐ_apply, MeromorphicAt.zpow, fderivWithin_smul_const, LinearMap.polar_isClosed, innerₛₗ_apply, deriv_inner_apply, NormedSpace.continuousOn_exp, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, ContMDiffMap.smul_comp', hasStrictFDerivAt_list_prod, HasDerivAtFilter.hasFDerivAtFilter, Polynomial.abs_isBoundedUnder_iff, StrongDual.toLp_apply, DifferentiableWithinAt.fun_finset_prod, analyticAt_finprod, LinearMap.continuous_iff_isClosed_ker, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, PositiveLinearMap.norm_apply_le_of_nonneg, fderivWithin_pow_ring', LinearMap.toSeminorm_ball_zero, iter_deriv_inv_linear_sub, MeromorphicOn.pow, RCLike.imCLM_coe, lp.instNormOneClassSubtypePreLpMemAddSubgroupTopENNRealOfNonempty, DifferentiableOn.const_mul, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, HasDerivAt.inner, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, CFC.sqrt_le_sqrt, LeftInvariantDerivation.toDerivation_injective, MeasureTheory.lpNorm_natCast_mul, Meromorphic.finprod, DoubleCentralizer.natCast_toProd, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, iteratedDeriv_id, meromorphicOrderAt_zpow, MeasureTheory.BoundedContinuousFunction.inner_toLp, AnalyticOn.hasFPowerSeriesOnBall, contDiff_of_differentiable_iteratedDeriv, HasFDerivWithinAt.fun_pow', MeasureTheory.integral_fintype_prod_volume_eq_prod, AnalyticAt.div_const, hasStrictDerivAt_exp_zero_of_radius_pos, summable_sum_mul_antidiagonal_of_summable_norm', differentiableAt_conj_conj_iff, MeasureTheory.convolution_mul_swap, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, DoubleCentralizer.one_toProd, MeromorphicAt.div, analyticOrderAt_mul_eq_top_of_left, NormedSpace.expSeries_radius_pos, analyticOrderAt_eq_zero, hasDerivAt_single, Function.HasTemperateGrowth.mul, MDifferentiableOn.mul, SchwartzMap.integral_smul_laplacian_right_eq_left, hasStrictDerivAt_exp_of_mem_ball, analyticAt_mul, RCLike.re_le_neg_norm_iff_eq_neg_norm, OrthonormalBasis.coe_equiv_euclideanSpace, fderivWithin_mul_const, continuous_cfcₙAux, RCLike.wInner_one_eq_sum, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_finset_prod, derivWithin_div, ContDiffOn.inv, HasFDerivAt.mul_const', integral_ofReal, DifferentiableOn.mul_const, analyticAt_inv, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral, AnalyticAt.aeval_mvPolynomial, Polynomial.differentiableWithinAt_aeval, contDiffAt_ringInverse, signedDist_apply, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, geom_series_mul_neg, ProbabilityTheory.iIndepFun.integral_fun_prod_eq_prod_integral, HasStrictFDerivAt.fun_pow', EuclideanSpace.inner_toLp_toLp, Unitary.norm_argSelfAdjoint, DoubleCentralizer.natCast_snd, mfderiv_smul, ordinaryHypergeometric_radius_top_of_neg_nat₁, Units.contMDiff_val, Matrix.IsHermitian.eigenvectorUnitary_transpose_apply, AnalyticOnNhd.aeval_polynomial, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, PadicInt.continuousAddCharEquiv_symm_apply, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, CStarAlgebra.norm_sub_mul_self_le, ContinuousLinearMap.extendTo𝕜'_apply, derivWithin_comp_sub_const, CompletelyPositiveMap.map_cstarMatrix_nonneg', IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, MeromorphicAt.inv, analyticOrderNatAt_pow, meromorphicOrderAt_id_sub_const, AddChar.linearIndependent, coe_ringEquiv_lpBCF_symm, Unitization.splitMul_injective, MeromorphicOn.fun_inv, Antitone.deriv_nonpos, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, MeasureTheory.Lp.smul_assoc, differentiable_tsum', DoubleCentralizer.sub_snd, analyticAt_inverse_one_sub, Meromorphic.inv, norm_iteratedFDerivWithin_mul_le, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, Polynomial.differentiable, deriv_fun_pow, unitary.norm_sub_one_lt_two_iff, HasDerivAt.fun_inv, cfc_setIntegral', iteratedDerivWithin_comp_eq_sum_orderedFinpartition, DifferentiableAt.div_const, AnalyticOnNhd.fun_zpow_nonneg, WithCStarModule.pi_norm_sq, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, cfcₙ_setIntegral', analyticOrderNatAt_mul, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, ContinuousOn.cfcₙ_nnreal, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, SchwartzMap.smulLeftCLM_sub, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, analyticAt_inv_one_sub, derivWithin_id, Differentiable.mul, iteratedDerivWithin_const_mul, iteratedDeriv_const_mul_field, iteratedDeriv_fun_pow_zero, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivWithinAt, hasStrictFDerivAt_exp_smul_const, Homeomorph.contDiff_symm_deriv, AnalyticAt.mul, derivWithin_mul, RCLike.instNormSMulClassInt, ContDiffAt.inner, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, RCLike.wInner_cWeight_const_right, HasStrictFDerivAt.mul, iter_deriv_inv_linear, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, AnalyticAt.div, MeromorphicAt.fun_zpow, lp.zeroBasis_repr_symm_apply_coe, DifferentiableAt.finset_prod, ContinuousMap.elemental_id_eq_top, meromorphicNFAt_mul_iff_right, DifferentiableOn.fun_div, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, WithLp.unitization_mul, hasDerivAt_exp_smul_const', dist_right_lineMap, DoubleCentralizer.instStarModule, HasStrictDerivAt.finset_prod, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, CStarAlgebra.star_right_conjugate_le_norm_smul, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, iteratedDerivWithin_scomp_two, PiLp.inner_apply, Memℓp.infty_pow, MeasureTheory.Lp.neg_smul_neg, MeasureTheory.integral_mul_deriv_eq_deriv_mul_of_integrable, summable_geometric_of_norm_lt_one, differentiableAt_of_deriv_ne_zero, EuclideanSpace.restrict₂_apply, ProbabilityTheory.iIndepFun.integral_fun_prod_comp, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, HasDerivAt.comp_hasDerivWithinAt_of_eq, DoubleCentralizer.intCast_fst, meromorphicOrderAt_const_intCast, LinearMap.toSeminormFamily_apply, hasGradientWithinAt_iff_tendsto, EuclideanSpace.inner_single_right, sum_mul_eq_sub_integral_mul, Memℓp.const_mul, unitary.norm_sub_one_sq_eq, Module.Basis.opNNNorm_le, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, NormedRing.inverse_one_sub_nth_order', HasDerivAtFilter.comp, HasFDerivWithinAt.finset_prod, hasStrictFDerivAt_list_prod', AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, Differentiable.finset_prod, MeromorphicOn.mul, hasDerivAt_iff_tendsto, ProbabilityTheory.iIndepFun.integral_prod_comp, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, sub_smul_dslope, setIntegral_re_add_im, norm_iteratedFDeriv_smul_le, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, MeasureTheory.lpNorm_one', HasDerivAt.finset_prod, Matrix.toEuclideanLin_eq_toLin_orthonormal, PadicInt.continuousAddCharEquiv_apply, MeromorphicAt.fun_div, summable_norm_sum_mul_antidiagonal_of_summable_norm, LinearPMap.mem_adjoint_domain_iff, unitary.norm_argSelfAdjoint_le_pi, spectrum.hasDerivAt_resolvent_const_right, differentiableWithinAt_zpow, RCLike.intervalIntegral_ofReal, contDiffOn_infty_iff_deriv_of_isOpen, NormedSpace.expSeries_hasSum_exp_of_mem_ball', fderivWithin_pow, ContinuousMultilinearMap.norm_smulRight, hasFDerivAt_exp_zero_of_radius_pos, CStarAlgebra.span_nonneg_inter_ball, LeftInvariantDerivation.commutator_apply, AnalyticAt.fun_zpow_nonneg, HasFPowerSeriesAt.has_fpower_series_dslope_fslope, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, OrthonormalBasis.coe_singleton, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, derivWithin_comp_const_add, HasDerivAt.conj_conj, AnalyticOn.eval_polynomial, prod_vanishing_of_summable_norm, Matrix.l2_opNNNorm_conjTranspose_mul_self, iteratedDeriv_fun_mul, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, coe_innerₛₗ_apply, AnalyticOn.div_const, NormedRing.inverse_add_nth_order, HasGradientAt.hasDerivAt, analyticOnNhd_inv, hasDerivAt_exp_zero, Unitary.norm_argSelfAdjoint_le_pi, DifferentiableAt.pow, InnerProductSpace.continuousLinearMapOfBilin_apply, NormedSpace.double_dual_bound, instFieldContMDiffRing, hasGradientWithinAt_iff_isLittleO, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, Module.Basis.opNorm_le, MeromorphicOn.fun_prod, fun_meromorphicOrderAt_inv, UniformCauchySeqOnFilter.one_smulRight, RCLike.conj_eq_re_sub_im, MeromorphicOn.finsum, DFinsupp.inner_sum, ContDiffOn.deriv_of_isOpen, inner_matrix_row_row, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul, DifferentiableWithinAt.fun_inv, HasStrictFDerivAt.fun_mul, hasFDerivWithinAt_pow, coe_algEquiv_lpBCF_symm, LinearMap.polar_mem_iff, MeasureTheory.integral_mul_deriv_eq_deriv_mul, hasDerivWithinAt_inv, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, hasStrictDerivAt_id, MeromorphicNFAt.fun_zpow, HasFDerivWithinAt.mul', HasGradientAt.fderiv_apply, AnalyticAt.pow, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, integral_re, DifferentiableAt.fun_mul, LeftInvariantDerivation.ext_iff, MeromorphicOn.countable_compl_analyticAt, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, deriv_mul, IsCovariantDerivativeOn.affine_combination, NormedSpace.exp_analytic, VectorField.lieBracket_smul_right, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, differentiableAt_inv, deriv_pow', NormedSpace.exp_sum_of_commute, AnalyticAt.inv, AnalyticOnNhd.pow, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, analyticOrderAt_mul_eq_top_of_right, hasStrictDerivAt_iff_hasStrictFDerivAt, HasFPowerSeriesAt.locally_zero_iff, MeromorphicNFAt.inv, inner_gradient_left, DifferentiableWithinAt.mul_const, ConvexOn.exists_affine_le_of_lt, HasDerivWithinAt.comp_hasDerivAt, MeasureTheory.integral_prod_smul, inner_sub_sub_self, innerSL_apply_coe, hasDerivAt_exp_of_mem_ball, fderivWithin_mul', hasStrictDerivAt_exp_smul_const_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, mdifferentiableAt_localFrame_coeff, Unitary.openPartialHomeomorph_apply, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivWithinAt, HasStrictFDerivAt.inner, Unitary.argSelfAdjoint_coe, HasStrictDerivAt.hasStrictFDerivAt_equiv, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, derivWithin_fun_inv', Meromorphic.fun_div, Meromorphic.fun_pow, hasFDerivAt_inv', HasDerivAt.fun_mul, Matrix.exp_units_conj, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, differentiableAt_dslope_of_ne, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, hasDerivAt_zpow, tangentConeAt_eq_univ, sum_mul_eq_sub_integral_mul₀, EuclideanSpace.single_eq_zero_iff, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, NormedSpace.expSeries_summable_of_mem_ball', Matrix.IsHermitian.mulVec_eigenvectorBasis, ValueDistribution.log_counting_zero_sub_logCounting_top, differentiableAt_inverse, Matrix.l2_opNorm_def, AnalyticOn.fun_pow, Matrix.toEuclideanLin_toLp, integral_re_add_im, ContDiffOn.mul, ZSpan.coe_fract_self, LeftInvariantDerivation.toFun_eq_coe, Matrix.l2_opNorm_mul, norm_innerSL_le, AnalyticOn.mul, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, CStarAlgebra.exists_sum_four_unitary, nnnorm_cfcₙ_nnreal_le, meromorphicOrderAt_prod, AffineMap.deriv, contDiffOn_infty_iff_derivWithin, SchwartzMap.integral_smul_deriv_right_eq_neg_left, apply_le_nnnorm_cfcₙ_nnreal, fderiv_list_prod', HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', PadicInt.instIsAddTorsionFree, AnalyticOnNhd.iterated_deriv, contDiffOn_iff_continuousOn_differentiableOn_deriv, HasMFDerivAt.mul', continuousOn_cfcₙ_nnreal_setProd, MeromorphicAt.meromorphicTrailingCoeffAt_mul, HasGradientWithinAt.hasFDerivWithinAt, MDifferentiableWithinAt.pow, ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhd, hasFDerivAt_exp, deriv_mul_const_field', RCLike.hasSum_conj', MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, differentiableAt_iff_comp_sub_const, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, LinearMap.polar_mem, MeromorphicOn.divisor_mul, LinearMap.isAdjointPair_inner, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, fderivWithin_pow_ring, hasFDerivAt_inv, DifferentiableWithinAt.inner, DoubleCentralizer.toProdHom_apply, Differentiable.inv, DoubleCentralizer.mul_snd, MonotoneOn.nnnorm_cfcₙ, MeromorphicAt.meromorphicTrailingCoeffAt_zpow, ContinuousLinearMap.smulRightL_apply_apply, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, HasFDerivAt.fun_mul', HasDerivAtFilter.isTheta_sub, ValueDistribution.logCounting_inv, Ring.inverse_exp, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, fderivInnerCLM_apply, ConvexOn.sSup_affine_eq, unitary.mem_pathComponentOne_iff, MeromorphicAt.fun_inv, nndist_self_homothety, derivWithin_smul_const, RCLike.I_mul_I_of_nonzero, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, summable_mul_of_bigO_atTop', derivWithin_const_mul_field, AnalyticOnNhd.fun_inv, RCLike.span_one_I, HasGradientAtFilter.hasDerivAtFilter, hasFPowerSeriesAt_iff', tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm', MDifferentiable.prod, inner_gradient_right, hasDerivAt_exp_smul_const_of_mem_ball, analyticAt_inverse, DFinsupp.sum_inner, Real.fourierIntegral_iteratedFDeriv, MeasureTheory.integral_Iic_deriv_mul_eq_sub, hasStrictDerivAt_exp_zero, HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, Matrix.PosDef.posDef_sqrt, differentiableAt_comp_sub_const, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, smooth_functions_tower, RCLike.ofReal_sum, finrank_euclideanSpace_fin, coe_algEquiv_lpBCF, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, hasFDerivAt_list_prod_attach', iteratedDerivWithin_mul_const_field, geom_series_eq_inverse, MeromorphicAt.meromorphicTrailingCoeffAt_pow, LinearMap.mem_span_iff_continuous, AnalyticAt.zpow, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, Finset.analyticAt_fun_prod, InnerProductSpace.symm_toEuclideanLin_rankOne, HasDerivAt.comp_sub_const, QuotientGroup.integral_mul_eq_integral_automorphize_mul, NormedSpace.expSeries_hasSum_exp_of_mem_ball, AnalyticOnNhd.eval_continuousLinearMap, HasDerivWithinAt.comp_hasFDerivAt_of_eq, ContinuousLinearMap.adjoint_innerSL_apply, HasDerivAt.of_local_left_inverse, MDifferentiableOn.pow, CStarAlgebra.span_unitary, DifferentiableOn.of_dslope, binomialSeries_radius_ge_one, HasDerivWithinAt.iterate, RCLike.normSq_sub, nndist_homothety_self, fderivWithin_fun_mul, Differentiable.div, Orthonormal.inner_sum, intervalIntegral.integral_mul_const, Filter.IsBoundedUnder.isLittleO_sub_self_inv, RCLike.re_tsum, DoubleCentralizer.smul_snd, deriv_div_const, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, MeromorphicAt.finprod, LeftInvariantDerivation.coeFnAddMonoidHom_apply, MeromorphicOn.finprod, RCLike.sqrt_neg_of_nonneg, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, ContDiffWithinAt.div_const, Unitary.path_apply, SpectrumRestricts.nnreal_iff_nnnorm, unitary.two_mul_one_sub_cos_norm_argSelfAdjoint, PadicInt.existsUnique_mem_range, Matrix.tracePositiveLinearMap_apply, ContinuousLinearMap.norm_smulRightL_apply, CStarAlgebra.exists_sum_four_nonneg, PadicInt.toZMod_spec, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, hasFPowerSeriesAt_iff, DifferentiableWithinAt.of_dslope, isUnit_one_sub_of_norm_lt_one, one_le_formalMultilinearSeries_geometric_radius, contDiff_euclidean, fderiv_norm_sq_apply, RCLike.imCLM_apply, HasFPowerSeriesOnBall.exchange_radius, hasStrictDerivAt_pow, Derivation.evalAt_apply, derivWithin_mem_iff, PositiveLinearMap.preGNS_norm_sq, RCLike.conj_neg_I, ConvexOn.univ_sSup_of_nat_affine_eq, cfc_setIntegral, differentiableOn_inv, RCLike.inv_I, hasFDerivAt_exp_of_mem_ball, NormedSpace.dual_def, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, HasDerivAt.inv, MeasureTheory.integral_mul_const, IsStarProjection.le_iff_idempotent_sub, fderiv_norm_sq, IntervalIntegrable.div_const, contDiff_prod, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', SchwartzMap.integral_mul_lineDerivOp_right_eq_neg_left, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendsto, ContinuousLinearMap.toSesqForm_apply_norm_le, HilbertBasis.hasSum_repr_symm, CStarMatrix.norm_def, inner_neg_left, differentiableWithinAt_Ioi_iff_Ici, derivWithin_fun_pow', integral_im, fun_meromorphicOrderAt_pow, cfc_integral', MeromorphicAt.meromorphicOrderAt_comp, differentiableOn_zpow, selfAdjoint.expUnitary_coe, fderivWithin_mul, DoubleCentralizer.add_toProd, HasDerivWithinAt.fun_inv, intervalIntegral.integral_const_mul, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, Finset.analyticOnNhd_fun_prod, ContDiff.mul, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, contDiff_one_iff_deriv, inner_matrix_col_col, MDifferentiableWithinAt.prod, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, Finset.analyticOn_prod, derivWithin_comp_neg, HasFDerivWithinAt.fun_mul, ValueDistribution.logCounting_mul_zero_le, RCLike.div_I, derivWithin_pow', ContDiff.div, IntervalIntegrable.const_mul, iter_deriv_pow, HasStrictFDerivAt.finset_prod, Continuous.cfcₙ_nnreal', ProbabilityTheory.IndepFun.integral_mul_eq_mul_integral, DoubleCentralizer.neg_fst, VectorField.mlieBracket_smul_right, MDifferentiable.pow, CStarMatrix.inner_toCLM_conjTranspose_right, AnalyticWithinAt.mul, Matrix.PosDef.re_dotProduct_pos, AnalyticOnNhd.inv, NonUnitalStarAlgHom.instContinuousLinearMapClassComplex, fderiv_eq_smul_deriv, CStarMatrix.toCLM_apply_single_apply, hasStrictFDerivAt_exp_smul_const_of_mem_ball, DoubleCentralizer.toProdMulOppositeHom_apply, HasDerivAt.mul_const, derivWithin_const_mul, InnerProductSpace.Core.inner_sub_right, Unitization.cfcₙ_eq_cfc_inr, ContDiffAt.mul, PadicInt.addChar_of_value_at_one_def, deriv_comp_sub_const, contMDiffOn_iff_localFrame_coeff, HasFDerivWithinAt.list_prod', fderiv_inv', cfcₙ_integral', unitary.continuousOn_argSelfAdjoint, tendsto_zero_geometric_tsum_pnat, natCast_memℓp_infty, unitary.spectrum_subset_slitPlane_iff_norm_lt_two, fderivWithin_pow', LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, CStarAlgebra.norm_sub_mul_self_le_of_inr, Unitary.two_mul_one_sub_cos_norm_argSelfAdjoint, HasStrictDerivAt.fun_pow

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm AddSemigroup.toAdd AddMonoid.toAddSemigroup SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid AddCommGroup.toAddGroup NonUnitalNonAssocRing.toAddCommGroup NonUnitalRing.toNonUnitalNonAssocRing toNonUnitalRing SubNegMonoid.toNeg	—	—
norm_mul_le 📖	mathematical	—	Real Real.instLE Norm.norm toNorm NonUnitalNonAssocRing.toMul NonUnitalRing.toNonUnitalNonAssocRing toNonUnitalRing Real.instMul	—	—

NonUnitalSeminormedCommRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toNonUnitalCommRing 📖	CompOp	4 math math: Submodule.Quotient.instIsBoundedSMul, StrongDual.dualPairing_separatingLeft, TrivSqZeroExt.instL1IsBoundedSMul, PiLp.basis_toMatrix_basisFun_mul
toNonUnitalSeminormedRing 📖	CompOp	2813 math math: Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, hasFDerivAt_iff_hasDerivAt, MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal, iteratedDeriv_scomp_two, Real.differentiableOn_arcosh, isEquivalent_descFactorial, Real.hasDerivAt_arccos, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, HasSum.exp, TemperedDistribution.lineDerivOpCLM_eq, BoundedContinuousFunction.tietze_extension_step, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, InformationTheory.integrable_klFun_rnDeriv_iff, Orientation.kahler_map_complex, Polynomial.differentiableWithinAt, DifferentiableOn.zpow, MeasureTheory.Integrable.integral_norm_prod_right, Seminorm.isBounded_const, isConformalMap_conj, MeasureTheory.eLpNorm'_norm, HasDerivWithinAt.clog_real, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, Bundle.ContMDiffRiemannianMetric.isVonNBounded, NormedSpace.isBounded_polar_of_mem_nhds_zero, TensorProduct.enorm_lid, topDualPairing_isContPerfPair, differentiableAt_comp_neg, deriv_exp, Real.integrableOn_rpowIntegrand₀₁_Ioi, Matrix.frobenius_nnnorm_mul, HasMFDerivAt.mul, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, MonotoneOn.intervalIntegral_slope_le, HasDerivAt.const_rpow, Distribution.delta_apply, ProbabilityTheory.isGaussian_iff_gaussian_charFun, Real.differentiable_arctan, RCLike.map_apply, Real.differentiableAt_mulExpNegMulSq, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, Complex.restrictScalars_one_smulRight', IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, Asymptotics.IsBigOTVS.congr', MeasureTheory.Integrable.fin_nat_prod, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, deriv_arctan, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, Asymptotics.IsEquivalent.zpow, Real.hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, Real.differentiableAt_arcsin, LinearMap.toLinearMap_tracePositiveLinearMap, Complex.linearEquiv_det_conjLIE, Ideal.toCharacterSpace_apply_eq_zero_of_mem, hasStrictFDerivAt_exp_of_mem_ball, DifferentiableWithinAt.log, hasFDerivAt_iff_hasGradientAt, ConvexOn.le_slope_of_hasDerivAt, RCLike.reCLM_apply, HasStrictDerivAt.rpow, NumberField.Units.finrank_eq_rank, StrictConvexOn.slope_lt_leftDeriv, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, Differentiable.fun_div, MeasureTheory.taylor_charFun_two, InnerProductSpace.rankOne_one_left_eq_innerSL, ConvexOn.rightDeriv_le_slope_of_mem_interior, ContinuousMap.abs_mem_subalgebra_closure, Asymptotics.IsThetaTVS.trans_isBigOTVS, hasDerivAt_sqrt_mul_log, StrongDual.norm_extendRCLike, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, Polynomial.isEquivalent_atBot_div, ZSpan.volume_real_fundamentalDomain, ContinuousLinearMap.opNorm_bound_of_ball_bound, Complex.ofRealCLM_coe, Complex.kahler, HasFDerivWithinAt.pow, RightDerivMeasurableAux.D_subset_differentiable_set, Complex.areaForm, finrank_real_complex_fact', EuclideanSpace.orthonormal_single, Real.deriv_negMulLog, Real.hasDerivAt_sigmoid, Polynomial.derivWithin_aeval, complexOfReal_hasDerivWithinAt, AffineMap.hasDerivAtFilter, Matrix.IsHermitian.det_abs, RCLike.ofRealLI_apply, deriv_abs, differentiableAt_zpow, hasFDerivAt_multiset_prod, Asymptotics.IsEquivalent.multisetProd, Stirling.factorial_isEquivalent_stirling, ProbabilityTheory.covarianceBilinDual_apply', Real.nnnorm_deriv_mulExpNegMulSq_le_one, OrthonormalBasis.repr_injective, derivWithin_id', Real.deriv_binEntropy, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, HasDerivWithinAt.liminf_right_slope_le, MeasureTheory.convolution_mul, Complex.ofRealLI_apply, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, DifferentiableOn.sqrt, BoundedContinuousFunction.integral_eq_integral_nnrealPart_sub, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_ne, SchwartzMap.pairing_apply_apply, norm_iteratedFDerivWithin_smul_le, Matrix.cstar_nnnorm_def, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, logDeriv_comp, StrongDual.polarSubmodule_eq_setOf, HasStrictDerivAt.pow, DifferentiableAt.div, ContinuousMap.attachBound_apply_coe, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, ContinuousLinearMap.hasDerivAtFilter, PeriodPair.basis_one, HasDerivAtFilter.comp_hasFDerivAtFilter, StrictConvexOn.deriv_lt_slope, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, Differentiable.cosh, OpenPartialHomeomorph.hasDerivAt_symm, ContDiffBump.integrable, ZLattice.covolume_eq_det_inv, ContinuousLinearMap.integral_apply, HasDerivAt.fun_finset_prod, circleIntegrable_iff, ProbabilityTheory.covarianceBilinDual_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', MeasureTheory.MemLp.const_inner, not_integrableOn_Ioi_cpow, MeasureTheory.AEStronglyMeasurable.memLp_truncation, Real.fderiv_fourierChar_neg_bilinear_right_apply, ProbabilityTheory.isGaussian_multivariateGaussian, BoundedContinuousFunction.char_neg, MeasureTheory.iteratedDeriv_charFun_zero, intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, LipschitzWith.memLp_lineDeriv, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, differentiableWithinAt_abs_pos, continuousOn_dslope, StrictConcaveOn.lt_slope_of_hasDerivAt, Module.Dual.extendRCLikeₗ_symm_apply, ProbabilityTheory.integrable_preCDF, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, isClosedEmbedding_cfcₙAux, DifferentiableWithinAt.norm, det_fderivPolarCoordSymm, AddChar.wInner_cWeight_self, AddCircle.coe_real_preimage_closedBall_eq_iUnion, innerSL_apply_apply, MeasureTheory.Integrable.neg_part, fderiv_multiset_prod, ProbabilityTheory.covarianceBilin_multivariateGaussian, DifferentiableWithinAt.sqrt, MeasureTheory.Integrable.norm_integral_condExpKernel, LinearMap.adjoint_innerₛₗ_apply, Real.differentiable_sinh, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, hasDerivAt_neg', AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, ProbabilityTheory.covarianceBilin_apply_eq_cov, iteratedDerivWithin_comp_two, ProbabilityTheory.covarianceBilin_self, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, HasFDerivAt.fun_mul, Asymptotics.IsLittleOTVS.tendsto_div, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, nnnorm_cfcₙ_lt_iff, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, LeftInvariantDerivation.left_invariant', Int.enorm_natCast, StrictConcaveOn.slope_lt_rightDeriv, hasDerivAt_bernoulliFun, Orientation.volumeForm_neg_orientation, derivWithin_fderivWithin, ContDiffBump.integrable_normed, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg, ProbabilityTheory.uncenteredCovarianceBilin_apply, StrongDual.norm_extendRCLike_bound, Real.deriv_log, ContDiff.differentiable_deriv_two, StrictConvexOn.rightDeriv_lt_slope, derivWithin_arctan, FormalMultilinearSeries.derivSeries_coeff_one, Complex.ofRealCLM_norm, Matrix.spectrum_toLpLin, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, rotation_injective, intervalIntegral.integrableOn_deriv_of_nonneg, BoxIntegral.unitPartition.mem_smul_span_iff, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, IsConformalMap.is_complex_or_conj_linear, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_ne, AkraBazziRecurrence.isBigO_apply_r_sub_b, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, DifferentiableAt.sigmoid, AffineMap.hasDerivWithinAt, LeftInvariantDerivation.left_invariant, MeasureTheory.pdf.IsUniform.mul_pdf_integrable, ProbabilityTheory.integrable_toReal_condExpKernel, Bundle.RiemannianMetric.isVonNBounded, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, HasStrictDerivAt.of_local_left_inverse, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, IsGreatest.nnnorm_cfcₙ, Complex.convexHull_reProdIm, Complex.conjLIE_apply, one_mem_posTangentConeAt_iff_frequently, Real.hasDerivAt_sin, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, MeasureTheory.Integrable.simpleFunc_mul', Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, egauge_ball_le_of_one_lt_norm, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasStrictFDerivAt_iff_isLittleOTVS, not_IntegrableOn_Ioi_inv, ContinuousMap.continuousMap_mem_subalgebra_closure_of_separatesPoints, Real.differentiableOn_log, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, Differentiable.fderiv_norm_rpow, lintegral_fderiv_lineMap_eq_edist, Set.OrdConnected.image_deriv, signedDist_right_congr, AddCircle.isAddFundamentalDomain_of_ae_ball, Asymptotics.IsBigOTVS.add, TensorProduct.toLinearEquiv_lidIsometry, Real.differentiableOn_arcsin, AnalyticOnNhd.eval_linearMap', inner_gradientWithin_right, fderiv_fun_pow, MeasureTheory.MemLp.integrable_norm_rpow', Complex.hasStrictFDerivAt_exp_real, NumberField.natAbs_discr_eq_natAbs_discr_pow_mul_natAbs_discr_pow, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Module.Basis.parallelepiped_basisFun, SchwartzMap.laplacianCLM_eq, monomial_has_deriv_aux, MeasureTheory.hasFiniteIntegral_prod_iff', Real.vector_fourierIntegral_eq_integral_exp_smul, StrictConvexOn.strictMonoOn_deriv, DifferentiableAt.zpow, MeasureTheory.MemLp.norm_rpow, nndist_midpoint_right, HasStrictFDerivAt.pow, MeasureTheory.MemLp.prod, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, ProbabilityTheory.IsGaussian.integrable_exp_sq_of_conv_neg, Asymptotics.isLittleOTVS_prodMk_left, derivWithin_cosh, NNReal.enorm_eq, fderivWithin_sinh, iter_deriv_zpow', Asymptotics.IsBigOTVS.comp_tendsto, differentiableWithinAt_abs, Matrix.exp_conj', deriv.scomp_of_eq, Real.deriv_arccos, Real.hasStrictDerivAt_sinh, ProbabilityTheory.integrable_pow_abs_of_integrable_exp_mul, LocallyBoundedVariationOn.ae_differentiableWithinAt, deriv_conj_conj, ConvexOn.univ_sSup_of_countable_affine_eq, integrableOn_exp_Iic, cfcₙHom_nnreal_eq_restrict, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, IsLocalFrameOn.coeff_apply_of_mem, HasFDerivAt.finset_prod, hasStrictDerivAt_abs_pos, deriv_sqrt_mul_log, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, Bundle.Trivialization.localFrame_coeff_congr, StrictConcaveOn.slope_lt_derivWithin, Matrix.exp_neg, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, derivWithin.scomp_of_eq, polynomialFunctions.starClosure_topologicalClosure, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, Real.hasStrictFDerivAt_rpow_of_pos, hasFDerivWithinAt_inv, differentiableAt_sigmoid, OrthonormalBasis.repr_self, iteratedDeriv_scomp_three, Real.integrable_prod_sub, MeasureTheory.eLpNorm_mono_real, Orientation.volumeForm_map, rotation_apply, toMatrix_rotation, Icc_isBoundaryPoint_bot, mellin_convergent_zero_of_isBigO, Differentiable.zpow, derivWithin.scomp, deriv_abs_neg, ProbabilityTheory.evariance_lt_top_iff_memLp, Real.differentiableWithinAt_arccos_Ici, gelfandStarTransform_naturality, gelfandStarTransform_apply_apply, DifferentiableWithinAt.abs_of_pos, Asymptotics.IsLittleOTVS.trans_isThetaTVS, deriv.log, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, integrableOn_Ioi_rpow_of_lt, ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zero, NormedSpace.Dual.toWeakDual_continuous, ConcaveOn.slope_le_of_hasDerivAt, signedDist_left_congr, NormedField.exists_lt_nnnorm_lt, deriv_fun_inv'', exists_deriv_eq_zero, Real.nnnorm_exp_I_mul_ofReal_sub_one_le, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, NormedField.exists_nnnorm_lt_one, differentiableAt_comp_add_const, integrableOn_Ioi_norm_cpow_of_lt, QuadraticForm.equivalent_signType_weighted_sum_squared, OrthonormalBasis.measurePreserving_repr, InformationTheory.leftDeriv_klFun_one, Asymptotics.IsLittleOTVS.prodMk, SchwartzMap.integral_fourierInv_smul_eq, ContinuousMultilinearMap.norm_mkPiAlgebra_le, RCLike.reCLM_norm, MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, HasDerivWithinAt.sin, Real.hasDerivAt_arcosh, ConvexOn.monotoneOn_rightDeriv, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, Asymptotics.IsLittleOTVS.insert, enorm_fderiv_norm_rpow_le, DifferentiableAt.fun_finset_prod, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, Unitization.sqrt_inr, MeasureTheory.Integrable.simpleFunc_mul, MonotoneOn.intervalIntegrable_deriv, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, HasDerivAt.sqrt, fderiv_eq_deriv_mul, nndist_right_lineMap, Orientation.abs_volumeForm_apply_of_orthonormal, ContinuousLinearMap.toSesqForm_apply_coe, signedDist_linear_apply_apply, BoxIntegral.hasIntegral_GP_pderiv, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, NumberField.mixedEmbedding.negAt_apply_snd, StrictConvexOn.lt_slope_of_hasDerivAt, Real.GammaIntegral_convergent, Matrix.toEuclideanLin_apply, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.charFunDual_eq_charFun_map_one, HasFDerivWithinAt.multiset_prod, fourier_norm, MeasureTheory.memLp_two_iff_integrable_sq_norm, mfderivWithin_projIcc_one, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, Real.hasStrictDerivAt_arccos, RCLike.conjCLE_apply, MeasureTheory.integrable_norm_rpow_iff, Asymptotics.IsLittleOTVS.neg_right, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, Complex.reCLM_nnnorm, Unitization.nnnorm_def, Asymptotics.IsEquivalent.add_add_of_nonneg, isScalarTower_closedBall_closedBall_closedBall, nndist_left_lineMap, Euclidean.closedBall_eq_image, NumberField.mixedEmbedding.negAt_preimage, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, isScalarTower_sphere_closedBall_closedBall, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, QuadraticForm.equivalent_one_neg_one_weighted_sum_squared, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, Complex.deriv_ofReal_cpow_const, PiTensorProduct.mapL_smul, MeasureTheory.L1.setToL1_smul_left, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, MeasureTheory.eLpNorm_norm, DifferentiableAt.fun_div, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, MeasureTheory.integrable_toReal_rnDeriv_mul_iff, Real.norm_deriv_mulExpNegMulSq_le_one, Quaternion.linearIsometryEquivTuple_symm_apply, Polynomial.isEquivalent_atTop_lead, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, MeasureTheory.charFun_apply_real, StrictConcaveOn.deriv_lt_slope, Orientation.areaForm_to_volumeForm, Icc_isInteriorPoint_interior, VectorFourier.fourierIntegral_continuousLinearMap_apply, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, signedDist_le_dist, Real.not_continuousAt_deriv_mul_log_zero, integrable_one_add_norm, ProbabilityTheory.integrable_condCDF, HasFDerivAtFilter.isThetaTVS_sub, integrableOn_add_rpow_Ioi_of_lt, InformationTheory.klDiv_eq_top_iff, SchwartzMap.fourier_lineDerivOp_eq, HasFDerivWithinAt.isThetaTVS_sub, LinearMap.isBigOTVS_rev_comp, AddChar.wInner_cWeight_eq_zero_iff_ne, NormedField.exists_one_lt_enorm, ContinuousLinearMapWOT.inducingFn_apply, Orientation.areaForm_neg_orientation, fderivWithin_sin, StrictConcaveOn.slope_lt_deriv, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, Monotone.ae_differentiableAt, ConvexOn.slope_le_deriv, Differentiable.abs, Asymptotics.IsBigOTVS.neg_right, mfderivWithin_comp_projIcc_one, DifferentiableOn.rpow, HasDerivWithinAt.comp, contDiffWithinAt_euclidean, SimpleGraph.lapMatrix_toLinearMap₂'_apply'_eq_zero_iff_forall_reachable, NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, Real.fourier_iteratedFDeriv, SchwartzMap.smulLeftCLM_real_smul, AddCircle.norm_div_natCast, InnerProductSpace.toDualMap_apply_apply, Differentiable.cexp, HasMFDerivAt.smul, Orientation.kahler_eq_zero_iff, HasStrictDerivAt.div, BoundedContinuousFunction.integral_const_sub, DifferentiableAt.rpow_const, signedDist_apply_apply, Real.differentiableAt_rpow_const_of_ne, derivWithin_zpow, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, UnitAddTorus.mFourierCoeff_toLp, ProbabilityTheory.gaussianReal_map_continuousLinearMap, WeakDual.toStrongDual_inj, IccLeftChart_extend_interior_pos, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, Asymptotics.IsEquivalent.mul, Orientation.areaForm_swap, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, hasDerivAt_id', HasDerivWithinAt.cos, Differentiable.sinh, integrableOn_Ioi_cpow_iff, Bundle.ContinuousRiemannianMetric.symm, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, fderiv.log, HasStrictDerivAt.arctan, MeasureTheory.MemLp.inner_const, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, Complex.sameRay_of_arg_eq, MeasureTheory.Integrable.integral_norm_condDistrib_map, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, hasDerivAt_abs_neg, Orientation.kahler_swap, coe_innerSL_apply, fderivWithin_finset_prod, ProbabilityTheory.integrable_exp_mul_of_nonneg_of_le, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, ProbabilityTheory.integrable_exp_mul_abs, HasStrictDerivAt.real_of_complex, Matrix.PosSemidef.det_sqrt, Orientation.rotation_map_complex, Real.deriv_rpow_const, ProbabilityTheory.integrable_exp_mul_of_abs_le, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, HasDerivAt.differentiableAt, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, DifferentiableWithinAt.dist, MeasureTheory.integrable_thickenedIndicator, NormedField.exists_nnnorm_lt, hasDerivWithinAt_abs, ProbabilityTheory.integrable_pow_mul_exp_of_integrable_exp_mul, MeasureTheory.MemLp.pos_part, MeasureTheory.integrable_of_tendsto, TensorProduct.lidIsometry_apply, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, ContinuousLinearMap.hasDerivAt, DifferentiableAt.star_conj, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding, MeasureTheory.eLpNorm_ofReal, Real.deriv_sinh, exists_ratio_deriv_eq_ratio_slope, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, NormedField.exists_lt_enorm, Module.Basis.coe_toOrthonormalBasis_repr, Filter.HasBasis.isLittleOTVS_iff, MeasureTheory.convolution_precompR_apply, WeakDual.coe_toStrongDual, SchwartzMap.compSubConstCLM_apply, Matrix.linfty_opNNNorm_eq_opNNNorm, VectorFourier.fourierIntegral_iteratedFDeriv, ModularGroup.lcRow0Extend_symm_apply, InformationTheory.hasDerivAt_klFun, integrableOn_Ioi_norm_cpow_iff, contMDiff_coe_sphere, contDiffOn_one_iff_derivWithin, StrictConvexOn.slope_lt_deriv, BoundedContinuousFunction.mem_charPoly, Orientation.kahler_comp_rightAngleRotation, Seminorm.ball_smul, BoundedContinuousFunction.charAlgHom_apply, HasDerivAt.fun_pow, ae_differentiableAt_norm, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, HasGradientWithinAt.differentiableWithinAt, MeasureTheory.memLp_haarAddCircle_iff, NumberField.Units.instZLattice_unitLattice, HasFDerivAt.isBigOTVS_sub, hasDerivWithinAt_neg, Orientation.volumeForm_zero_pos, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, ProbabilityTheory.complexMGF_mul_I, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, Matrix.gram_eq_conjTranspose_mul, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, ProbabilityTheory.Kernel.integrable_densityProcess, NumberField.Units.span_basisOfIsMaxRank, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, FiniteDimensional.rclike_to_real, Complex.equivRealProdCLM_symm_apply, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', CompactlySupportedContinuousMap.coe_toRealLinearMap, differentiableOn_dslope_of_notMem, IsLocalExtr.fderiv_eq_zero, NumberField.Units.basisOfIsMaxRank_apply, Real.differentiableOn_rpow_const, MeasureTheory.MemLp.integrable_norm_pow, NormedField.denseRange_nnnorm, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, SchwartzMap.smulLeftCLM_sum, PeriodPair.basis_zero, Asymptotics.IsLittleOTVS.congr_left, MeasureTheory.Integrable.norm_integral_condDistrib, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Real.hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, ContinuousLinearMap.nnnorm_toSpanSingleton, InformationTheory.leftDeriv_klFun, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Asymptotics.isLittleOTVS_fun_neg_left, deriv_id'', AddCircle.exists_norm_nsmul_le, isEquivalent_choose, Asymptotics.isBigOTVS_iff_smallSets, OrthonormalBasis.coe_ofRepr, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, hasStrictFDerivAt_exp, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, MeasureTheory.Integrable.integral_norm_comp, EuclideanSpace.nnnorm_single, MeasureTheory.MemLp.memLp_liftIoc, ProbabilityTheory.differentiableAt_mgf, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, RCLike.conjLIE_apply, deriv_fun_div, Complex.orthonormalBasisOneI_repr_apply, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_eq, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, Complex.differentiable_exp, Polynomial.toAddCircle.integrable, HasDerivAtFilter.iterate, RCLike.imLm_coe, Real.differentiable_cos, MeasureTheory.MemLp.neg_part, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, isAddFundamentalDomain_Ioc, Asymptotics.IsBigOTVS.fun_add, norm_cauchyPowerSeries_le, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, intervalIntegral.integrableOn_Ioo_rpow_iff, Asymptotics.isEquivalent_nat_ceil, summable_jacobiTheta₂_term_fderiv_iff, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, AddCircle.norm_coe_mul, Asymptotics.isBigOTVS_fun_neg_left, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, Matrix.linfty_opNNNorm_toMatrix, Asymptotics.isBigOTVS_fun_neg_right, hasDerivAt_abs_rpow, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, signedDist_eq_zero_of_orthogonal, hasSum_fourier_series_L2, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, ZSpan.volume_fundamentalDomain, StrictMonoOn.exists_slope_lt_deriv_aux, FormalMultilinearSeries.coeff_eq_zero, ProbabilityTheory.covarianceBilin_zero, RCLike.conjCLE_coe, contDiffOn_stereoToFun, VectorFourier.differentiable_fourierIntegral, HasDerivAt.log, LeftInvariantDerivation.evalAt_coe, AddCircle.norm_half_period_eq, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, Differentiable.sin, Real.deriv_Gamma_nat, GaussianFourier.integrable_cexp_neg_mul_sum_add, MeasureTheory.integrable_add_iff_of_nonneg, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, fderiv_pow, ProbabilityTheory.memLp_two_of_variance_ne_zero, Polynomial.differentiable_aeval, MeasureTheory.eLpNorm_one_le_of_le', Distribution.delta_eq_zero_of_notMem, IsGreatest.nnnorm_cfc, Real.fourierIntegral_convergent_iff', hasDerivAt_deriv_iff, hasDerivAtFilter_neg, Asymptotics.IsEquivalent.finsetProd, integrable_rpow_neg_one_add_norm_sq, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, HasStrictDerivAt.clog_real, Bundle.ContMDiffRiemannianMetric.symm, HilbertBasis.hasSum_repr, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, HasDerivWithinAt.sqrt, Asymptotics.isBigOTVS_iff_isBigO, Real.hasDerivAt_qaryEntropy, innerSL_inj, continuousAt_dslope_same, hasDerivWithinAt_pow, differentiableAt_star_conj_iff, MeasureTheory.lintegral_nnnorm_condExpL2_le, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, AffineSubspace.signedInfDist_eq_signedDist_of_mem, Finset.nnnorm_prod_le', differentiableWithinAt_of_derivWithin_ne_zero, one_mem_posTangentConeAt_iff_mem_closure, Real.integrable_sinc, RealRMK.rieszMeasure_le_of_eq_one, TensorProduct.inner_lid_lid, DifferentiableAt.log, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, not_IntegrableOn_Ici_inv, AnalyticOnNhd.eval_linearMap, Set.OrdConnected.image_derivWithin, LinearIsometry.re_apply_eq_re_of_add_conj_eq, RCLike.rank_le_two, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, MeasureTheory.memLp_two_iff_integrable_sq, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, WeakDual.isCompact_closedBall, Affine.Simplex.signedInfDist_apply_self, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, Real.differentiableAt_rpow_of_ne, ProbabilityTheory.integrable_pow_abs_mul_exp_of_mem_interior_integrableExpSet, RCLike.reCLM_coe, ProbabilityTheory.gaussianReal_map_linearMap, InnerProductSpace.toDual_apply, Real.differentiableAt_log, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', Asymptotics.IsLittleOTVS.fst, HasStrictDerivAt.to_local_left_inverse, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, DifferentiableAt.inner, HarmonicAt.differentiableAt_complex_partial, NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_single, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, NormedSpace.exp_continuousMap_eq, Seminorm.comp_smul, HasFDerivWithinAt.mul_const, isScalarTower_sphere_sphere_sphere, MeasureTheory.hasFDerivAt_convolution_right_with_param, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_integrable_exp_mul, ProbabilityTheory.IsGaussian.charFun_eq', deriv_neg_left_of_sign_deriv, Real.deriv_inv_log, ProbabilityTheory.covarianceBilinDual_eq_covariance, fderiv_mul, signedDist_zero, mellin_convergent_of_isBigO_scalar, Asymptotics.IsLittleO.isLittleOTVS, SchwartzMap.postcompCLM_apply, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, Asymptotics.IsLittleOTVS.neg_left, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, CompactlySupportedContinuousMap.toRealLinearMap_apply, EuclideanSpace.coe_proj, DifferentiableAt.isBigOTVS_sub, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, MeasureTheory.Integrable.integral_norm_prod_left, HasCompactSupport.hasFDerivAt_convolution_right, frontier_range_modelWithCornersEuclideanHalfSpace, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, differentiableAt_inv_iff, AddCircle.instIsUnifLocDoublingMeasureRealVolume, ProbabilityTheory.covarianceBilinDual_zero, HasStrictDerivAt.exp, RealRMK.integral_rieszMeasure, LinearMap.deriv, RCLike.nnnorm_nnratCast, contDiff_iff_iteratedDeriv, Asymptotics.IsLittleOTVS.pi, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, EuclideanSpace.instIsManifoldSphere, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, Real.isEquivalent_sin, InnerProductSpace.toDualMap_apply, DifferentiableWithinAt.abs, HasDerivAt.cosh, DifferentiableAt.conj_conj, Real.differentiable_exp, fderivWithin_cos, ProbabilityTheory.differentiableOn_mgf, Real.abs_mulExpNegMulSq_comp_le_norm, Polynomial.derivWithin, nnnorm_algebraMap, fdifferential_apply, Real.hasStrictDerivAt_arcosh, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, MeasureTheory.Integrable.integral_norm_condExpKernel, Real.differentiableAt_cos, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, innerₗ_apply, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, Asymptotics.isBigOTVS_congr, ProbabilityTheory.complexMGF_id_mul_I, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, ModularGroup.lcRow0Extend_apply, Matrix.isSymmetric_toEuclideanLin_iff, Asymptotics.isBigOTVS_neg_right, Real.deriv_log', VectorField.lieBracketWithin_smul_left, hasDerivAt_update, nnnorm_apply_le_nnnorm_cfcₙ, Real.one_div_sub_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_condVar, ProbabilityTheory.integral_id_multivariateGaussian, OrthonormalBasis.equiv_apply, ProbabilityTheory.integrable_exp_abs_mul_abs_add, Seminorm.bound_of_continuous, MeasureTheory.integrable_of_le_of_le, DifferentiableOn.log, fderiv_pow_ring, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, StrictMonoOn.exists_deriv_lt_slope_aux, DifferentiableAt.comp_ringHom, Bundle.ContMDiffRiemannianMetric.pos, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, IsContMDiffRiemannianBundle.exists_contMDiff, HasDerivWithinAt.arsinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, Real.deriv2_binEntropy, Module.Basis.coe_toOrthonormalBasis_repr_symm, LinearMap.toSeminorm_comp, HasDerivAt.exp, DifferentiableAt.sqrt, DifferentiableOn.div_const, InnerProductSpace.toDual_apply_apply, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, contMDiff_subtype_coe_Icc, Real.hasDerivAt_arcsin, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, ProperCone.innerDual_singleton, RCLike.nnnorm_ofNat, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eq, differentiable_inner, Real.hasDerivAt_tan, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', InnerProductSpace.rankOne_def, Real.deriv_tan_sub_id, AddCircle.volume_closedBall, Real.leftDeriv_mul_log, stereoToFun_apply, deriv_inv, PointwiseConvergenceCLM.equivWeakDual_apply, Real.differentiableAt_Gamma, hasSum_jacobiTheta₂_term_fderiv, HasDerivAt.cos, Polynomial.fderiv_aeval, orthogonalBilin_innerₗ, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, ConvexOn.real_univ_sSup_of_countable_affine_eq, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, NumberField.mixedEmbedding.mem_span_latticeBasis, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.MemLp.integrable_sq, iteratedDerivWithin_comp_three, Module.Basis.equivFunL_symm_apply_repr, OrthonormalBasis.repr_apply_apply, BoundedContinuousFunction.exists_norm_eq_restrict_eq_of_closed, ProbabilityTheory.covarianceBilin_comm, iter_deriv_zpow, HasStrictDerivAt.cosh, MeasureTheory.MemLp.prod', ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, VectorField.lieBracket_fmul_left, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, Asymptotics.IsBigOTVS.snd, BoundedContinuousFunction.neg_norm_le_apply, gradient_eq_deriv', QuadraticForm.equivalent_one_zero_neg_one_weighted_sum_squared, ClosedSubmodule.orthogonal_eq_inter, Chebyshev.integrableOn_theta_div_id_mul_log_sq, DifferentiableWithinAt.arctan, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, hasFDerivWithinAt_iff_hasDerivWithinAt, MonotoneOn.intervalIntegrable_slope, nndist_left_midpoint, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplex, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', SchwartzMap.compCLMOfAntilipschitz_apply, MeasureTheory.Integrable.fintype_prod_dep, intervalIntegral.integrableOn_Ioo_cpow_iff, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, Real.differentiableOn_Gamma_Ioi, Real.differentiableOn_mul_log, Complex.conjCLE_toLinearEquiv, MeasureTheory.setToFun_smul_left, InformationTheory.klDiv_def, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.Integrable.norm_integral_condKernel, RCLike.abs_wInner_le, contDiff_nat_iff_iteratedDeriv, ConvexOn.slope_le_leftDeriv, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, ProbabilityTheory.memLp_id_gaussianReal', Asymptotics.IsBigOTVS.fun_symm, fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, ContinuousLinearMapWOT.isInducing_inducingFn, integrableOn_Ioi_deriv_ofReal_cpow, Real.deriv_mulExpNegMulSq, StrongDual.polarSubmodule_eq_polar, ProbabilityTheory.iIndepFun.integrable_exp_mul_sum, HasStrictDerivAt.cexp, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top, Asymptotics.isLittleOTVS_fun_neg_right, Complex.isEquivalent_sinh, hasFDerivAt_exp_smul_const', Asymptotics.IsLittleOTVS.triangle, dense_differentiableAt_norm, MeasureTheory.SignedMeasure.re_toComplexMeasure, Matrix.exp_zsmul, SchwartzMap.postcompCLM_postcompCLM, 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, Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, Real.deriv_qaryEntropy, InformationTheory.integrable_llr_compProd_iff, Real.deriv_arctan, LinearMap.coe_complexOfReal, monotoneOn_deriv_descPochhammer_eval, SchwartzMap.smulLeftCLM_const, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, HasDerivWithinAt.rpow, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, Differentiable.arctan, Asymptotics.IsBigOTVS.congr_left, LinearMap.toMatrix_innerₛₗ_apply, Asymptotics.IsLittleOTVS.smul_left, PointwiseConvergenceCLM.equivWeakDual_symm_apply, BoundedContinuousFunction.abs_self_eq_nnrealPart_add_nnrealPart_neg, ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, MeasureTheory.ComplexMeasure.integrable_rnDeriv, RCLike.wInner_one_eq_inner, NumberField.mixedEmbedding.negAt_apply_isComplex, ProbabilityTheory.hasFiniteIntegral_compProd_iff', Asymptotics.IsBigOTVS.proj, AffineMap.hasDerivAt, Complex.differentiableAt_exp, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos', HasStrictDerivAt.fun_finset_prod, Matrix.inner_toEuclideanCLM, ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, not_integrableOn_Ioi_rpow, AffineMap.differentiableAt, isScalarTower_closedBall_ball_ball, Matrix.PosSemidef.toLinearMap₂'_zero_iff, Polynomial.rootSet_derivative_subset_convexHull_rootSet, WeakDual.isSeqCompact_closedBall, HasFDerivAt.cexp, extDerivFun_zero, Asymptotics.IsLittleOTVS.trans_isBigOTVS, WeakDual.isBounded_iff_isVonNBounded, MeasureTheory.Measure.integrable_measure_prodMk_left, has_antideriv_at_fourier_neg, Real.differentiableAt_log_iff, hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, UnitAddTorus.mFourier_norm, Matrix.instNonnegSpectrumClass, LinearIsometry.toSpanSingleton_apply, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, innerSLFlip_apply_apply, Polynomial.hasFDerivAt, StrictConcaveOn.slope_lt_of_hasDerivAt, signedDist_smul_of_pos, MeasureTheory.BorelCantelli.integrable_process, Distribution.mapCLM_apply, Asymptotics.IsEquivalent.log, finrank_euclideanSpace, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, ConvexOn.sSup_of_nat_affine_eq, NormedField.exists_enorm_lt, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', MeasureTheory.MemLp.integrable_norm_rpow, HasDerivAt.sinh, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, InformationTheory.integrable_llr_of_integrable_llr_compProd, nndist_midpoint_left, intervalIntegral.integral_hasStrictFDerivAt, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_apply, signedDist_lineMap_lineMap, Complex.ofRealCLM_apply, MeasureTheory.IntegrableAtFilter.norm, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, NumberField.Units.regOfFamily_of_isMaxRank, Module.Basis.equivFunL_apply, inner_map_complex, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, tendsto_integral_mul_one_add_inv_smul_sq_pow, derivWithin_cos, Asymptotics.IsBigOTVS.trans_isLittleOTVS, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, LinearMap.hasDerivWithinAt, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, Real.fourier_fderiv, ContDiffOn.differentiableOn_iteratedDerivWithin, ContinuousMap.adjoin_id_eq_span_one_union, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, signedDist_vadd_left_swap, IsSelfAdjoint.spectrumRestricts, Seminorm.const_isBounded, IsCovariantDerivativeOn.leibniz, MeasureTheory.integrable_prod_iff, SchwartzMap.compSubConstCLM_zero, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, ConvexOn.monotoneOn_deriv, HasFDerivWithinAt.norm_sq, ProbabilityTheory.integrable_exp_mul_of_nonpos_of_ge, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableAt_abs_neg, LinearMap.tracePositiveLinearMap_apply, Asymptotics.isLittleOTVS_iff_smallSets, BoundedContinuousFunction.apply_le_norm, hasDerivAt_fourier_neg, DifferentiableWithinAt.div_const, ProbabilityTheory.isGaussian_gaussianReal, derivWithin_const_rpow, norm_fderiv_norm_rpow_le, StrongDual.dualPairing_separatingLeft, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, nndist_midpoint_midpoint_le', Polynomial.Chebyshev.integrable_measureT, SchwartzMap.fourierInv_lineDerivOp_eq, RCLike.finrank_le_two, NormedSpace.inclusionInDoubleDualWeak_apply, Bundle.RiemannianMetric.symm, MeasureTheory.integral_charFun_Icc, iteratedFDeriv_eq_equiv_comp, linear_isometry_complex, sum_mul_eq_sub_integral_mul₀', deriv_rpow_const, instFiniteDimensionalRealComplex, Real.hasDerivAt_cos, Differentiable.sigmoid, Matrix.ofLp_toEuclideanCLM, HasDerivWithinAt.comp_hasDerivAt_of_eq, AffineSubspace.signedInfDist_eq_const_of_mem, ProbabilityTheory.HasSubgaussianMGF.integrable, deriv_comp, derivWithin_cexp, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, ContinuousMap.sup_mem_subalgebra_closure, AddCircle.exists_norm_eq_of_isOfFinAddOrder, Asymptotics.isBigOTVS_neg_left, exists_dual_vector, nndist_center_homothety, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, DifferentiableOn.norm_sq, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, fourierCoeff_toLp, Differentiable.norm_rpow, DifferentiableWithinAt.isBigOTVS_sub, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, ProbabilityTheory.variance_continuousLinearMap_gaussianReal, Asymptotics.IsLittleOTVS.congr', Real.differentiableWithinAt_arcsin_Ici, AddChar.wInner_cWeight_eq_one_iff_eq, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, DifferentiableWithinAt.fun_div, InformationTheory.klDiv_ne_top_iff, fderivWithin_fun_pow, RCLike.sqrt_map, derivWithin_exp, MeasureTheory.integrable_conv_iff, ConvexOn.integrable_apply_rnDeriv_of_integrable_compProd, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, PadicInt.mahlerTerm_one, Polynomial.isEquivalent_atTop_div, Real.hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, deriv.scomp, rotationOf_rotation, IsMIntegralCurveAt.hasMFDerivAt, HasFDerivAt.multiset_prod, extDerivFun_add, deriv_neg_right_of_sign_deriv, SpectrumRestricts.real_iff, IsLocalFrameOn.eventually_eq_sum_coeff_smul, HasFDerivAt.mul_const, differentiableWithinAt_euclidean, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, deriv_abs_pos, Matrix.isPositive_toEuclideanLin_iff, derivWithin_rpow_const, nnnorm_cfc_le_iff, DifferentiableOn.sinh, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, MeasureTheory.convolution_mono_right_of_nonneg, exists_polynomial_near_continuousMap, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, MeasureTheory.Measure.integrable_compProd_iff, HasGradientAt.differentiableAt, ContinuousMap.inf_mem_subalgebra_closure, NormedSpace.exp_sum, Real.differentiableAt_cosh, HasDerivAt.comp_hasFDerivWithinAt_of_eq, ProbabilityTheory.covarianceBilin_self_nonneg, DifferentiableOn.abs, HasDerivAt.norm_sq, ProbabilityTheory.integral_linearMap_gaussianReal, AddCircle.coe_real_preimage_closedBall_inter_eq, complexOfReal_deriv, Real.nnnorm_mul_toNNReal, Asymptotics.IsLittleOTVS.sup, Polynomial.hermite_eq_deriv_gaussian', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', fderiv_exp, Differentiable.log, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, MeasureTheory.integrable_toReal_of_lintegral_ne_top, RCLike.wInner_const_left, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, MeasureTheory.integrable_smul_const, Orientation.areaForm_comp_linearIsometryEquiv, NormedField.exists_one_lt_nnnorm, hasStrictFDerivAt_norm_sq, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', LinearMap.adjoint_toSpanSingleton, ContDiff.differentiable_iteratedDeriv, Asymptotics.IsBigOTVS.prodMk, ContinuousMultilinearMap.norm_mkPiAlgebra, WeakDual.withSeminorms, Real.deriv_exp, NumberField.canonicalEmbedding.nnnorm_eq, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, QuasispectrumRestricts.real_iff, derivWithin_pow_field, deriv_sinh, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, RCLike.inner_apply, StrictConcaveOn.derivWithin_lt_slope, HasStrictDerivAt.log, NormedField.exists_enorm_lt_one, Polynomial.differentiableAt_aeval, DifferentiableAt.cosh, UpperHalfPlane.volume_eq_lintegral, HasDerivAt.fun_div, hasDerivAt_id, StrictConvexOn.slope_lt_derivWithin, Real.hasDerivAt_rpow_const, Real.toNNReal_mul_nnnorm, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, MeasureTheory.Integrable.re_im_iff, deriv_cexp, ConvexOn.slope_le_of_hasDerivWithinAt, Polynomial.isEquivalent_atBot_lead, differentiableAt_norm_smul, fderivWithin.log, deriv_update, MeasureTheory.HasFiniteIntegral.norm, Real.iter_deriv_exp, DifferentiableWithinAt.finset_prod, Real.differentiable_iteratedDeriv_cos, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, Differentiable.norm_sq, exists_dual_vector'', deriv_zpow', RCLike.norm_wInner_le, ProbabilityTheory.IsGaussian.memLp_dual, LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, Module.Dual.extendRCLikeₗ_apply, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, Asymptotics.isLittleOTVS_map, isTheta_deriv_rpow_const_atTop, ProbabilityTheory.covarianceBilinDual_self_nonneg, IccLeftChart_extend_bot, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, hasFDerivAt_pow, HasDerivWithinAt.arctan, Matrix.l2_opNNNorm_def, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, Complex.conjCLE_coe_toLinearMap, hasDerivAt_exp, contDiffOn_succ_iff_deriv_of_isOpen, DifferentiableOn.cos, signedDist_lineMap_left, ProbabilityTheory.covarianceBilin_real_self, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le, Real.tendsto_rightDeriv_mul_log_atTop, Real.hasStrictDerivAt_arsinh, iter_deriv_pow', Asymptotics.IsBigOTVS.symm, MeasureTheory.Integrable.integral_norm_compProd, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, Asymptotics.isLittleOTVS_iff_isLittleO, integrable_rpow_mul_exp_neg_mul_sq, EuclideanSpace.basisFun_repr, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, RCLike.realLinearIsometryEquiv_symm_apply, hasStrictFDerivAt_inv, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, InformationTheory.klDiv_eq_integral_klFun, LinearIsometry.coe_toSpanSingleton, ConcaveOn.le_slope_of_hasDerivWithinAt, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, VectorFourier.fourierSMulRight_apply, deriv_neg'', UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, MeasureTheory.euclideanHausdorffMeasure_homothety_image, ProbabilityTheory.integrable_exp_mul_of_le_of_le, IsLocalFrameOn.coeff_apply_of_notMem, ProbabilityTheory.evariance_def', Seminorm.closedBall_smul, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, fderiv_inv, Complex.orthonormalBasisOneI_repr_symm_apply, MeasureTheory.euclideanHausdorffMeasure_homothety_preimage, Manifold.riemannianEDist_def, hasDerivAt_circleMap, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, isScalarTower_sphere_sphere_closedBall, signedDist_anticomm, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, UnitAddTorus.hasSum_mFourier_series_L2, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, Orientation.areaForm_comp_rightAngleRotation, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, modelWithCornersEuclideanHalfSpace_zero, UnitAddCircle.mem_approxAddOrderOf_iff, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.hausdorffMeasure_homothety_image, HasFDerivWithinAt.hasDerivWithinAt, Real.differentiableAt_arctan, ContinuousMultilinearMap.integral_apply, spectralNorm_smul, Asymptotics.isEquivalent_of_tendsto_one, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasGradientWithinAt.fderivWithin_apply, differentiableWithinAt_abs_neg, sum_mul_eq_sub_integral_mul₁, RCLike.complexLinearIsometryEquiv_symm_apply, Real.differentiableOn_negMulLog, norm_derivWithin_eq_norm_fderivWithin, Asymptotics.IsEquivalent.pow, differentiableWithinAt_dslope_of_ne, ProbabilityTheory.integrable_exp_mul_gaussianReal, WeakDual.isClosed_closedBall, MeasureTheory.integrable_add_iff_of_nonpos, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, AffineMap.derivWithin, HasDerivAt.arsinh, hasDerivAt_fourier, Asymptotics.IsBigOTVS.congr_right, complexOfReal_fderivWithin, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, StrongDual.extendRCLikeₗᵢ_symm_apply, Asymptotics.IsThetaTVS.isBigOTVS, Real.rightDeriv_mul_log, ProbabilityTheory.Kernel.integrable_density, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, fdifferential_comp, AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, nnnorm_inner_le_nnnorm, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, ProbabilityTheory.hasFiniteIntegral_comp_iff', IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', hasStrictDerivAt_abs_neg, Orientation.inner_rightAngleRotation_left, fderiv_apply_one_eq_deriv, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DifferentiableWithinAt.abs_of_neg, Asymptotics.IsLittleOTVS.comp_tendsto, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, IsUltrametricDist.algNormOfAlgEquiv_apply, integrableOn_exp_mul_complex_Iic, DifferentiableWithinAt.cosh, AddCircle.norm_coe_eq_abs_iff, ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mul, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, HasDerivAt.rpow, Asymptotics.IsLittleOTVS.congr, ProbabilityTheory.integrable_pow_of_mem_interior_integrableExpSet, fderivWithin_exp, deriv_inv'', deriv_circleMap, ProbabilityTheory.covarianceBilin_apply_pi, cfcₙAux_injective, ProbabilityTheory.exp_neg_integrableOn_Ioc, ProbabilityTheory.deriv_mgf, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.Integrable.norm_integral_condDistrib_map, OrthonormalBasis.sum_repr_symm, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, IsPrimitiveRoot.nnnorm_eq_one, Real.differentiableWithinAt_arcsin_Iic, signedDist_triangle_right, Polynomial.hermite_eq_deriv_gaussian, ProbabilityTheory.hasFiniteIntegral_comp_iff, Complex.conjCLE_nnorm, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, HasStrictDerivAt.complexToReal_fderiv', StrictConcaveOn.strictAntiOn_deriv, contMDiffWithinAt_comp_projIcc_iff, Orientation.inner_mul_areaForm_sub', hasFDerivAt_polarCoord_symm, egauge_ball_one_le_of_one_lt_norm, ConcaveOn.slope_le_derivWithin, DifferentiableAt.of_dslope, differentiableOn_neg, fderivWithin_multiset_prod, HasFDerivAt.mul, Asymptotics.isBigOTVS_pi, LinearMap.continuous_of_nonzero_on_open, MeasureTheory.HasFiniteIntegral.of_mem_Icc, ConvexOn.real_univ_sSup_affine_eq, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, Real.deriv_arcsin, abs_signedDist_eq_dist_iff_vsub_mem_span, InnerProductSpace.innerSL_norm, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, AddCircle.closedBall_eq_univ_of_half_period_le, toWeakSpace_closedConvexHull_eq, ConvexOn.monotoneOn_leftDeriv, linear_isometry_complex_aux, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, deriv_neg', Orientation.kahler_rotation_left', Real.differentiable_sin, hasFDerivAtFilter_iff_isLittleOTVS, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Polynomial.hasDerivWithinAt_aeval, AkraBazziRecurrence.isEquivalent_one_sub_smoothingFn_one, derivWithin_sin, ProbabilityTheory.integrable_exp_mul_abs_add, rotation_trans, integrableOn_Ioi_rpow_iff, Real.eulerMascheroniConstant_eq_neg_deriv, deriv_const_rpow, Real.not_differentiableAt_inv_log_zero, Orientation.abs_areaForm_le, Real.deriv_mul_log, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, ContinuousLinearMap.norm_extendTo𝕜', integrableOn_rpow_mul_exp_neg_rpow, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, Convex.image_derivWithin, Asymptotics.IsLittleOTVS.fun_symm, differentiableAt_iff_comp_const_sub, MeasureTheory.Integrable.integral_norm_condDistrib, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, SchwartzMap.compSubConstCLM_comp, signedDist_neg, ProbabilityTheory.covarianceBilin_apply_basisFun, ProbabilityTheory.IsRatCondKernelCDFAux.integrable, Complex.restrictScalars_toSpanSingleton, integrableOn_exp_mul_Ioi, Orientation.normSq_kahler, ProbabilityTheory.IsCondKernelCDF.integrable, Complex.UnitDisc.mk_neg, hasGradientAt_iff_hasFDerivAt, Asymptotics.IsTheta.isThetaTVS, Asymptotics.isEquivalent_nat_floor, ProbabilityTheory.integrable_of_mem_integrableExpSet, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, hasFDerivAt_exp_smul_const_of_mem_ball, Real.differentiableAt_tan, Real.differentiable_cosh, NumberField.mixedEmbedding.negAt_symm, MeasureTheory.iteratedDeriv_charFun, DifferentiableAt.rpow, VectorFourier.contDiff_fourierIntegral, ProbabilityTheory.integrable_exp_abs_mul_abs, ConcaveOn.leftDeriv_le_slope, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, ProbabilityTheory.integrable_compProd_iff, Matrix.exp_conj, NumberField.finite_of_discr_bdd, Complex.inner, ProbabilityTheory.variance_dual_stdGaussian, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, Asymptotics.IsThetaTVS.symm, fderiv_deriv, DifferentiableOn.finset_prod, ConcaveOn.derivWithin_le_slope, Asymptotics.isLittleOTVS_neg_right, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, MeasureTheory.MemLp.norm_rpow_div, Diffeology.isPlot_iff_contDiff, signedDist_vsub_self_rev, coord_norm', Int.Matrix.one_le_norm_A_of_ne_zero, ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, OrthonormalBasis.measurePreserving_repr_symm, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, spec_cfcₙAux, Asymptotics.IsBigOTVS.congr, norm_fderiv_norm, MeasureTheory.measureReal_abs_gt_le_integral_charFun, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, EuclideanSpace.piLpCongrLeft_single, HasDerivAt.ofReal_comp, hasFDerivAt_exp_smul_const, Differentiable.inner, DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, signedDist_linear_apply, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, Real.hasDerivAt_log, oneTangentSpaceIcc_def, Asymptotics.IsEquivalent.div, fderiv_finset_prod, IccRightChart_extend_top_mem_frontier, ConcaveOn.deriv_le_slope, rotationOf_coe, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, Module.Basis.parallelepiped_eq_map, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, DifferentiableAt.differentiableAt_norm_of_smul, MeasureTheory.tendsto_eLpNorm_condExp, iteratedDeriv_comp_two, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, signedDist_self, MeasureTheory.MemLp.norm, ProperCone.dual_flip_dual, RCLike.ofRealCLM_norm, integrable_inv_one_add_sq, HasStrictDerivAt.comp, Complex.sqrt_map, deriv_cos, signedDist_vsub_self, DifferentiableAt.arsinh, MeasureTheory.SignedMeasure.rnDeriv_smul, ProbabilityTheory.integrable_rpow_abs_of_integrable_exp_mul, Affine.Simplex.exists_forall_signedInfDist_eq_iff_eq_incenter, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, signedDist_smul, MeasureTheory.eLpNorm_mono_ae_real, TemperedDistribution.fourierTransform_apply, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, Real.hasStrictDerivAt_arctan, ProbabilityTheory.charFun_inv_sqrt_mul_sum, HasDerivAtFilter.comp_of_eq, ZLattice.volume_image_eq_volume_div_covolume, StrictConcaveOn.strictAntiOn_derivWithin, Asymptotics.IsBigOTVS.eventually_smallSets, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, Real.map_linearMap_volume_pi_eq_smul_volume_pi, nnnorm_apply_le_nnnorm_cfc, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, Euclidean.closedBall_eq_preimage, Matrix.isHermitian_iff_isSymmetric, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, hasStrictFDerivAt_finset_prod, ProbabilityTheory.memLp_id_gaussianReal, intervalIntegral.differentiable_integral_of_continuous, deriv_zpow, LipschitzWith.locallyIntegrable_lineDeriv, AddCircle.norm_neg_period, SmoothBumpCovering.embeddingPiTangent_injOn, HasDerivWithinAt.comp_hasFDerivAt, MeasureTheory.memLp_norm_rpow_iff, StrongDual.mem_polarSubmodule, exists_dual_vector', derivWithin_inv', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, Orientation.kahler_rightAngleRotation_left, Asymptotics.isLittleOTVS_comm, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, ConcaveOn.slope_le_of_hasDerivWithinAt, Asymptotics.IsLittleOTVS.snd, DifferentiableWithinAt.div, Real.hasDerivAt_mulExpNegMulSq, MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, cfcₙHom_real_eq_restrict, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, Real.differentiableOn_arccos, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, IsLocalMin.deriv_eq_zero, Real.hasDerivAt_cosh, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, Real.tendsto_deriv_mul_log_atTop, Orientation.abs_areaForm_of_orthogonal, MeasureTheory.AECover.integrable_of_integral_tendsto_of_nonneg_ae, LipschitzOnWith.ae_differentiableWithinAt_real, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, UnitAddCircle.norm_eq, HasFPowerSeriesAt.deriv, innerₗ_apply_apply, DifferentiableOn.div, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, MeasureTheory.eLpNorm_norm_rpow, StrictConvexOn.lt_slope_of_hasDerivWithinAt, Asymptotics.IsBigOTVS.rfl, Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, PadicAlgCl.valuation_def, hfdifferential_apply, MeasureTheory.Integrable.inner_const, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, CompactlySupportedContinuousMap.toNNRealLinear_apply, Real.hasDerivAt_fourierChar, bilinFormOfRealInner_orthogonal, ContinuousLinearMap.intervalIntegral_apply, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Orientation.kahler_rotation_left, HasDerivWithinAt.inv, nnnorm_cfcₙHom, SchwartzMap.smulLeftCLM_neg, Complex.conjCLE_enorm, Real.differentiableWithinAt_arccos_Iic, spectrum.differentiableOn_inverse_one_sub_smul, derivWithin_comp, Asymptotics.isBigOTVS_fun_comm, mdifferentiableWithinAt_comp_projIcc_iff, HasDerivWithinAt.limsup_slope_le', HasFDerivAt.isThetaTVS_sub, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Orientation.inner_sq_add_areaForm_sq, Real.enorm_exp_I_mul_ofReal_sub_one_le, signedDist_smul_of_neg, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, differentiableOn_euclidean, RCLike.reLm_coe, ProbabilityTheory.integrable_rpow_mul_exp_of_integrable_exp_mul, nnnorm_fderiv_norm_rpow_le, differentiableAt_abs_pos, Differentiable.exp, ContinuousLinearMap.adjoint_toSpanSingleton, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, ContinuousLinearMap.toBilinForm_injective, integrableOn_exp_neg_Ioi, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, Real.hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, Asymptotics.IsBigOTVS.triangle, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, MeasureTheory.MemLp.re, RCLike.nnnorm_conj, deriv_comp_of_eq, SchwartzMap.integral_fourier_mul_eq, AkraBazziRecurrence.isEquivalent_smoothingFn_sub_self, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, HasDerivAt.comp_hasDerivWithinAt, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.integrable_prod_iff', RCLike.wInner_one_const_right, hahnEmbedding_isOrderedModule_rat, ConvexOn.derivWithin_le_slope, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, NumberField.linearDisjoint_of_isGalois_isCoprime_discr, Affine.Simplex.sign_signedInfDist_touchpoint_empty, SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, signedDist_vadd_right_swap, SchwartzMap.integralCLM_apply, linearEquiv_det_rotation, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, Real.differentiable_mulExpNegMulSq, ContinuousMap.neg_norm_le_apply, AddCircle.coe_real_preimage_closedBall_period_zero, HasStrictFDerivAt.hasStrictDerivAt, integrable_of_isBigO_exp_neg, hasFDerivAt_iff_isLittleOTVS, nnnorm_algebraMap', Real.differentiableAt_arccos, ConvexOn.real_univ_sSup_of_nat_affine_eq, fderivWithin_sqrt, Complex.conjCLE_apply, NormedSpace.polar_ball, Valued.integer.exists_nnnorm_lt_one, Real.not_DifferentiableAt_log_mul_zero, innerSLFlip_apply, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, hasDerivAt_const_mul, InnerProductSpace.toContinuousLinearMap_toDualMap, MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, MeasureTheory.eLpNorm_one_le_of_le, MeasureTheory.taylorWithinEval_charFun_two_zero, Euclidean.ball_eq_preimage, Polynomial.fderivWithin_aeval, fderiv_sinh, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, norm_iteratedFDeriv_prod_le, SchwartzMap.lineDerivOp_fourierInv_eq, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, Polynomial.fderivWithin, IsLocalFrameOn.eq_iff_coeff, Polynomial.hasDerivAt, MeasureTheory.Integrable.ofReal, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, OrthonormalBasis.repr_symm_single, MeasureTheory.hasFiniteIntegral_toReal_iff, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, ProbabilityTheory.covarianceBilin_of_not_memLp, InformationTheory.rightDeriv_klFun, interior_range_modelWithCornersEuclideanHalfSpace, WeakDual.CharacterSpace.norm_le_norm_one, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, Matrix.linfty_opNorm_toMatrix, ConvexOn.real_sSup_of_countable_affine_eq, cfcL_integral, AddCircle.addWellApproximable_ae_empty_or_univ, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.hasStrictDerivAt_cos, IntervalIntegrable.intervalIntegrable_slope, iter_deriv_inv, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, Real.not_differentiableAt_rpow_const_zero, integrableOn_Ioi_cpow_of_lt, Differentiable.dist, EulerSine.antideriv_cos_comp_const_mul, ProbabilityTheory.condVar_of_sigmaFinite, MeasureTheory.MemLp.haarAddCircle, Differentiable.sqrt, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, RightDerivMeasurableAux.differentiable_set_eq_D, MeasureTheory.AECover.integrable_of_integral_bounded_of_nonneg_ae, hasDerivWithinAt_zpow, intervalIntegral.integrableOn_deriv_right_of_nonneg, MeasureTheory.HasFiniteIntegral.max_zero, mellin_convergent_iff_norm, Monotone.deriv_nonneg, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, Orientation.kahler_mul, derivWithin_fun_finset_prod, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, RCLike.nnnorm_two, ProbabilityTheory.iteratedDeriv_two_cgf, DifferentiableWithinAt.rpow_const, MeasureTheory.Integrable.pos_part, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, measurableSet_of_differentiableWithinAt_Ioi, HasDerivWithinAt.fun_pow, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, Real.differentiable_iteratedDeriv_sin, ProbabilityTheory.deriv_mgf_zero, MeasureTheory.charFun_eq_charFunDual_toDualMap, HasMFDerivAt.prod, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sigmoid, exists_ratio_deriv_eq_ratio_slope', ProperCone.dual_dual_flip, flip_innerₗ, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, WeakDual.CharacterSpace.mem_spectrum_iff_exists, intervalIntegral.fderivWithin_integral_of_tendsto_ae, MeasureTheory.LocallyIntegrableOn.norm, HasStrictFDerivAt.isBigOTVS_sub, Orientation.volumeForm_robust', instSMulCommClass_sphere_ball_ball, PiLp.basis_toMatrix_basisFun_mul, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, EulerSine.antideriv_sin_comp_const_mul, DifferentiableOn.arctan, Asymptotics.IsLittleOTVS.isBigOTVS, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, signedDist_vadd_left, Diffeology.IsPlot.contDiff, ModularGroup.tendsto_lcRow0, Differentiable.fun_finset_prod, ProbabilityTheory.integrable_kernel_prodMk_left, NormedSpace.sInter_polar_eq_closedBall, ProbabilityTheory.deriv_cgf, Complex.imCLM_coe, isBoundedBilinearMap_inner, DifferentiableOn.cosh, intervalIntegral.integral_hasFDerivWithinAt, deriv_pow_field, SmoothBumpCovering.embeddingPiTangent_injective, ProbabilityTheory.memLp_tilted_mul, HasFPowerSeriesAt.hasDerivAt, Int.nnnorm_coe_units, HasDerivWithinAt.rpow_const, ProbabilityTheory.covarianceBilin_apply, ContinuousLinearMap.isThetaTVS_comp, Polynomial.hasDerivAt_aeval, DifferentiableWithinAt.arsinh, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, AkraBazziRecurrence.isEquivalent_one_add_smoothingFn_one, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', hasDerivAt_gronwallBound, deriv_finset_prod, ContinuousMap.comp_attachBound_mem_closure, Orientation.kahler_map, isBigO_deriv_ofReal_cpow_const_atTop, deriv_div, exists_deriv_eq_slope', hasDerivAt_ofReal_cpow_const, hasDerivAt_norm_rpow, Real.differentiableAt_tan_of_mem_Ioo, Real.not_continuousAt_deriv_qaryEntropy_zero, NumberField.mixedEmbedding.latticeBasis_apply, HasFDerivAt.hasDerivAt, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, signedDist_apply_linear_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, MeasureTheory.charFun_map_mul_comp, TemperedDistribution.fourierInv_apply, cfcₙAux_mem_range_inr, Ideal.Quotient.norm_mk_lt, ContinuousMap.adjoin_id_eq_span_one_add, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, ProbabilityTheory.covarianceBilin_map, Unitization.nnnorm_eq_sup, AffineSubspace.signedInfDist_singleton, norm_deriv_eq_norm_fderiv, Seminorm.bound_of_shell_sup, ContinuousMap.apply_le_norm, MeasureTheory.AEStronglyMeasurable.integrable_truncation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, SchwartzMap.fderivCLM_fourier_eq, HasFDerivWithinAt.isLittleOTVS, Bundle.ContinuousRiemannianMetric.pos, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, Convex.image_deriv, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, Real.deriv_cos, IsCoercive.continuousLinearEquivOfBilin_apply, integrableOn_Ioi_exp_neg_mul_sq_iff, Orientation.volumeForm_zero_neg, BoundedContinuousFunction.nnnorm_coeFn_eq, Real.differentiableAt_binEntropy, VectorField.lieBracketWithin_smul_right, QuadraticForm.equivalent_sign_ne_zero_weighted_sum_squared, Real.hasDerivAt_arctan', Orientation.areaForm_map, Real.enorm_rpow_of_nonneg, Asymptotics.isEquivalent_iff_tendsto_one, differentiable_neg, hasDerivAt_neg, LinearMap.derivWithin, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, inner_gradientWithin_left, deriv_bernoulliFun, NNReal.nnnorm_eq, det_fderivPiPolarCoordSymm, Polynomial.hasStrictDerivAt, HasDerivWithinAt.cexp, Real.deriv2_qaryEntropy, Real.differentiableAt_exp, Real.hasStrictDerivAt_arcsin, ConvexOn.slope_le_of_hasDerivAt, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, NumberField.mixedEmbedding.commMap_apply_of_isReal, derivWithin_fun_pow, ZSpan.fundamentalDomain_pi_basisFun, AffineMap.hasStrictDerivAt, LipschitzWith.ae_differentiableAt_of_real, InnerProductSpace.toLinearMap_rankOne, VectorField.mpullback_mfderivWithin_apply_smul, Seminorm.finset_sup_smul, MeasureTheory.Measure.integrable_comp_iff, Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real, HasMFDerivWithinAt.mul, Bundle.RiemannianMetric.pos, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.MemLp.of_haarAddCircle, HilbertBasis.repr_self, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', Seminorm.isBounded_sup, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.integrable_norm_pow_of_le, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, DifferentiableAt.abs, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, BoundedContinuousFunction.add_norm_nonneg, MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt, Complex.equivRealProdCLM_symm_apply_re, DifferentiableOn.cexp, HasFDerivAtFilter.isLittleOTVS, iteratedDerivWithin_eq_equiv_comp, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, MeasureTheory.hasFiniteIntegral_prod_iff, nnnorm_cfcₙ_le_iff, MeasureTheory.charFun_map_mul, DifferentiableAt.cos, MeasureTheory.integrable_llr_tilted_right, LinearIsometry.im_apply_eq_im, CompactlySupportedContinuousMap.toReal_smul, fderiv_fun_mul, Orientation.inner_rightAngleRotationAux₁_right, hasFDerivAt_pi_polarCoord_symm, BoundedContinuousFunction.norm_sub_nonneg, NumberField.mixedEmbedding.latticeBasis_repr_apply, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.MemLp.im, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, DifferentiableWithinAt.norm_sq, ContinuousMapZero.instCStarRing, SchwartzMap.integral_fourierInv_mul_eq, Asymptotics.IsEquivalent.inv, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', ConvexOn.deriv_le_slope, ProbabilityTheory.integrable_pow_abs_mul_exp_of_integrable_exp_mul, signedDist_right_lineMap, ConvexOn.rightDeriv_le_slope, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, Matrix.toEuclideanLin_apply_piLp_toLp, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, Real.differentiable_fourierChar, hasFDerivAt_integral_of_dominated_of_fderiv_le, VectorFourier.fourierPowSMulRight_apply, OrthonormalBasis.norm_dual, mul_comm, DifferentiableOn.sin, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, Real.deriv_cos', isBigO_deriv_rpow_const_atTop, hasDerivAt_pow, contDiff_succ_iff_deriv, DifferentiableOn.dist, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, Real.deriv_rpow_const', StrictConcaveOn.lt_slope_of_hasDerivWithinAt, integrableOn_mul_sum_Icc, NumberField.mixedEmbedding.normAtPlace_negAt, Orthonormal.orthogonalFamily, Real.differentiableAt_arcosh, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, contDiffOn_succ_iff_derivWithin, IsLocalMaxOn.fderivWithin_eq_zero, AlternatingMap.measure_def, MeasureTheory.Integrable.of_mem_Icc, Seminorm.bound_of_shell_smul, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, LinearMap.isSymmetric_iff_sesqForm, hasDerivWithinAt_derivWithin_iff, hasStrictDerivAt_exp, HasDerivAt.div, Complex.isometryOfOrthonormal_apply, HasDerivWithinAt.pow, Complex.sameRay_iff, AddCircle.norm_le_half_period, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, Orientation.areaForm_map_complex, DifferentiableOn.rpow_const, Polynomial.deriv, Int.nnnorm_natCast, Real.hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, NumberField.mixedEmbedding.finrank, SchwartzMap.integral_fourier_smul_eq, Real.iter_deriv_rpow_const, AffineMap.differentiableOn, Complex.imCLM_nnnorm, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, Polynomial.hasFDerivWithinAt_aeval, Orientation.inner_rightAngleRotation_right, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, Differentiable.div_const, fderiv_sqrt, ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_pow, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, Asymptotics.isThetaTVS_comm, hasStrictDerivAt_inv, RCLike.wInner_one_const_left, ProbabilityTheory.HasSubgaussianMGF.memLp, LinearMap.continuous_of_isClosed_ker, Complex.sameRay_iff_arg_div_eq_zero, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Orientation.volumeForm_apply_le, HasDerivAt.iterate, differentiableAt_iff_comp_add_const, MeasureTheory.lintegral_enorm_le_liminf_of_tendsto, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, RCLike.nnnorm_nnqsmul, ProbabilityTheory.Kernel.eLpNorm_density_le, NumberField.mixedEmbedding.negAt_apply_norm_isReal, innerₛₗ_apply, deriv_inner_apply, HasFDerivWithinAt.isBigOTVS_sub, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, hasStrictFDerivAt_list_prod, UnitAddCircle.mem_addWellApproximable_iff, div_le_egauge_ball, StrongDual.toLp_apply, Asymptotics.IsThetaTVS.trans, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, DifferentiableWithinAt.fun_finset_prod, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, Real.deriv_fourierChar, OrthonormalBasis.sum_repr, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, contDiff_infty_iff_deriv, Asymptotics.IsLittleOTVS.mono, LinearMap.toSeminorm_ball_zero, Complex.nnnorm_intCast, Real.differentiableAt_negMulLog, DifferentiableAt.cexp, iter_deriv_inv_linear_sub, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Orientation.inner_rightAngleRotationAux₁_left, Asymptotics.IsThetaTVS.trans_isLittleOTVS, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, Asymptotics.IsBigOTVS.trans_isThetaTVS, exists_embedding_euclidean_of_compact, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, HasDerivAt.inner, MeasureTheory.Integrable.fintype_prod, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', Orientation.areaForm_apply_self, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, StrictConvexOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.Integrable.real_toNNReal, ProbabilityTheory.hasFiniteIntegral_compProd_iff, Real.differentiable_fourierChar_neg_bilinear_right, Complex.conjCLE_norm, ProbabilityTheory.variance_linearMap_gaussianReal, Asymptotics.IsLittleOTVS.trans, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, MeasureTheory.SignedMeasure.integrable_rnDeriv, ConvexOn.monotoneOn_derivWithin, AffineSubspace.signedInfDist_def, isScalarTower_sphere_ball_ball, NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply, ConcaveOn.slope_le_rightDeriv, MeasureTheory.BoundedContinuousFunction.inner_toLp, exists_extension_norm_eq, MeasureTheory.taylorWithinEval_charFun_two_zero', ProbabilityTheory.integrable_exp_mul_of_le, ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, hasStrictDerivAt_exp_zero_of_radius_pos, differentiableAt_conj_conj_iff, NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, MeasureTheory.convolution_mul_swap, MeasureTheory.convolution_mono_right, signedDist_lineMap_right, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, ProbabilityTheory.integral_id_multivariateGaussian', AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Complex.imCLM_enorm, SchwartzMap.tsupport_derivCLM_subset, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, det_rotation, RCLike.enorm_conj, PadicInt.norm_mahler_eq, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, hasStrictDerivAt_exp_of_mem_ball, complexOfReal_fderiv, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, fderivWithin_mul_const, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, BoundedContinuousFunction.norm_normComp, AlternatingMap.measure_parallelepiped, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, derivWithin_finset_prod, derivWithin_div, norm_cfcHom, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, Affine.Simplex.signedInfDist_affineCombination, tendsto_sum_mul_atTop_nhds_one_sub_integral, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, Polynomial.differentiableWithinAt_aeval, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, signedDist_apply, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, MeasureTheory.integrable_right_of_integrable_add_of_nonneg, AddCircle.norm_eq, le_egauge_ball_one, not_integrableOn_Ici_inv, Matrix.l2_opNNNorm_diagonal, Int.toNat_add_toNat_neg_eq_nnnorm, spectrum.exists_nnnorm_eq_spectralRadius, HasFDerivAt.hasGradientAt, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, Real.differentiableAt_sinh, ContinuousLinearMap.isBigOTVS_fun_comp, NormedField.denselyOrdered_range_nnnorm, signedDist_eq_dist_iff_vsub_mem_span, Real.differentiable_iteratedDeriv_sinh, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, exp_neg_integrableOn_Ioi, MeasureTheory.Integrable.const_inner, rotation_symm, fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, deriv_pos_left_of_sign_deriv, Complex.equivRealProdCLM_symm_apply_im, AddChar.linearIndependent, integrable_exp_neg_mul_sq_iff, nndist_homothety_center, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, Real.hasFDerivAt_fourierChar_neg_bilinear_right, DifferentiableWithinAt.cexp, ProbabilityTheory.IndepFun.integrable_exp_mul_add, Antitone.deriv_nonpos, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, differentiable_tsum', MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral, VectorFourier.norm_fourierSMulRight, Polynomial.differentiable, ContinuousLinearEquiv.coord_norm', deriv_fun_pow, GaussianFourier.integrable_cexp_neg_sum_mul_add, HasDerivAt.fun_inv, ProbabilityTheory.integrable_pow_mul_exp_of_mem_interior_integrableExpSet, DifferentiableAt.div_const, differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, HasFPowerSeriesAt.eq_zero_of_eventually, div_le_egauge_closedBall, LinearMap.mem_span_iff_bound, ProbabilityTheory.integrable_toReal_condDistrib, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, SchwartzMap.smulLeftCLM_sub, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, MeasureTheory.integrable_toReal_iff, derivWithin_id, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zero, SchwartzMap.fourier_fderivCLM_eq, exists_deriv_eq_slope, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, hasStrictFDerivAt_exp_smul_const, integrableOn_rpow_mul_exp_neg_mul_sq, Complex.hasStrictFDerivAt_log_real, Asymptotics.isBigOTVS_map, Real.hasStrictDerivAt_tan, RCLike.wInner_cWeight_const_right, SimpleGraph.isEquivalent_extremalNumber, MeasureTheory.integrable_norm_rpow_of_le, Real.nnnorm_rpow_of_nonneg, HasStrictFDerivAt.mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_fderiv_expMapBasis, iter_deriv_inv_linear, ProbabilityTheory.deriv_cgf_zero, Asymptotics.IsBigOTVS.neg_left, DifferentiableOn.exp, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, DifferentiableAt.norm, Real.differentiable_fourierChar_neg_bilinear_left, MeasureTheory.integrable_left_of_integrable_add_of_nonneg, DifferentiableOn.fun_div, fderiv_norm_smul_pos, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, Real.hasDerivAt_arctan, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_expMap_symm, Finset.nnnorm_prod_le, HasStrictDerivAt.finset_prod, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, EuclideanSpace.nnnorm_eq, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, iteratedDerivWithin_scomp_two, RCLike.nnnorm_natCast, MeasureTheory.HasFiniteIntegral.min_zero, Asymptotics.IsLittleOTVS.congr_right, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.reCLM_norm, range_modelWithCornersEuclideanHalfSpace, ContinuousMapZero.toNNReal_neg_smul, ProbabilityTheory.integrable_pow_abs_mul_exp_add_of_integrable_exp_mul, AddChar.wInner_cWeight_eq_boole, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, differentiableAt_of_deriv_ne_zero, MeasureTheory.exists_upperSemicontinuous_le_integral_le, EuclideanSpace.restrict₂_apply, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, HasDerivAt.comp_hasDerivWithinAt_of_eq, LinearMap.toSeminormFamily_apply, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, MeasureTheory.integrable_llr_tilted_left, sum_mul_eq_sub_integral_mul, TemperedDistribution.fourier_apply, deriv_sin, nnnorm_cfcHom, Module.Basis.opNNNorm_le, Orientation.areaForm_rightAngleRotation_right, Real.deriv_arcsin_aux, IsLocalMin.fderiv_eq_zero, HasDerivAtFilter.comp, ContinuousLinearMap.coe_complexOfReal, HasFDerivWithinAt.finset_prod, Real.differentiableAt_qaryEntropy, DifferentiableAt.exp, Affine.Simplex.exists_forall_signedInfDist_eq_iff_excenterExists_and_eq_excenter, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, Complex.integral_boundary_rect_of_differentiableOn_real, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, Asymptotics.IsEquivalent.listProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, Real.differentiable_arsinh, SchwartzMap.smulLeftCLM_ofReal, norm_iteratedFDeriv_smul_le, Orientation.oangle_map_complex, integrable_exp_neg_mul_sq, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, HasDerivAt.finset_prod, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, HasStrictDerivAt.cos, ProbabilityTheory.integrable_rpow_of_integrable_exp_mul, LinearPMap.mem_adjoint_domain_iff, spectrum.hasDerivAt_resolvent_const_right, differentiableWithinAt_zpow, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, CircleIntegrable.out, nnnorm_prod, AddCircle.closedBall_ae_eq_ball, contDiffOn_infty_iff_deriv_of_isOpen, SchwartzMap.integrable_pow_mul, fderivWithin_pow, MeasureTheory.memLp_of_bounded, ContinuousMultilinearMap.norm_smulRight, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, StrictMonoOn.exists_slope_lt_deriv, ContinuousLinearMap.hasDerivWithinAt, MeasureTheory.Submartingale.memLp_limitProcess, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, NormedSpace.polar_closedBall, PadicComplex.nnnorm_extends', HasDerivAt.conj_conj, ContinuousMapZero.toNNReal_smul, integrable_mulExpNegMulSq_comp, integrable_cexp_quadratic, AffineSubspace.signedInfDist_apply_self, Asymptotics.IsLittleOTVS.add, deriv_pos_right_of_sign_deriv, coe_innerₛₗ_apply, ProbabilityTheory.covarianceBilinDual_of_not_memLp, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, fderivWithin_arctan, isScalarTower_closedBall_closedBall_ball, StrictMonoOn.exists_deriv_lt_slope, HasGradientAt.hasDerivAt, ModularGroup.lcRow0_apply, hasDerivAt_exp_zero, deriv_circleMap_eq_zero_iff, Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, MeasureTheory.integrable_withDensity_iff, InnerProductSpace.continuousLinearMapOfBilin_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, NormedSpace.double_dual_bound, HasDerivAt.comp_ringHom, NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, PeriodPair.indep, Module.Basis.opNorm_le, ContMDiff.codRestrict_sphere, Real.differentiable_rpow_const, ProbabilityTheory.integrable_exp_mul_of_mem_Icc, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, SchwartzMap.smulLeftCLM_apply, MeasureTheory.Integrable.norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, SchwartzMap.tsum_eq_tsum_fourierIntegral, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, AddCircle.norm_eq', ProbabilityTheory.integrable_pow_of_integrable_exp_mul, WeakDual.seminormFamily_apply, Quaternion.linearIsometryEquivTuple_apply, MeasureTheory.intervalIntegrable_charFun, fderiv_cosh, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, HasStrictFDerivAt.fun_mul, NormedSpace.exp_add_of_mem_ball, hasFDerivWithinAt_pow, Asymptotics.IsLittleOTVS.fun_add, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, NormedField.valuation_apply, hasFDerivWithinAt_iff_isLittleOTVS, hasDerivWithinAt_inv, Asymptotics.isBigOTVS_prodMk_left, hasStrictDerivAt_id, instNonemptySeedRatReal, HasGradientAt.fderiv_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, Differentiable.rpow_const, TemperedDistribution.derivCLM_apply_apply, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, abs_signedDist_le_dist, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, mfderiv_subtype_coe_Icc_one, Polynomial.hasFDerivWithinAt, Real.hasStrictFDerivAt_rpow_of_neg, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, Real.hasStrictDerivAt_rpow_const, VectorField.lieBracket_smul_right, LinearMap.hasDerivAtFilter, intervalIntegral.integral_hasFDerivAt, MeasureTheory.memLp_norm_iff, integrable_mul_cexp_neg_mul_sq, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, ProbabilityTheory.HasCondSubgaussianMGF.integrable_exp_mul, Complex.GammaIntegral_convergent, MeasureTheory.hausdorffMeasure_homothety_preimage, DifferentiableAt.arctan, HasFPowerSeriesAt.locally_zero_iff, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, inner_gradient_left, Asymptotics.IsEquivalent.rpow, ConvexOn.exists_affine_le_of_lt, ProbabilityTheory.IsGaussian.charFunDual_eq', HasDerivWithinAt.comp_hasDerivAt, RealRMK.le_rieszMeasure_tsupport_subset, innerSL_apply_coe, AffineSubspace.signedInfDist_apply_of_mem, hasDerivAt_exp_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, Real.hasDerivAt_Gamma_nat, HasStrictFDerivAt.inner, nndist_right_midpoint, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, differentiableAt_abs, derivWithin_fun_inv', ConvexOn.real_sSup_of_nat_affine_eq, ProbabilityTheory.IsRatCondKernelCDF.integrable, Ideal.Quotient.norm_mk_le, ProbabilityTheory.charFun_gaussianReal, WeakDual.CharacterSpace.exists_apply_eq_zero, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, derivWithin_sinh, Real.not_continuousAt_deriv_qaryEntropy_one, differentiableAt_dslope_of_ne, DifferentiableOn.norm, Complex.map_isometryOfOrthonormal, hasDerivAt_zpow, TemperedDistribution.fourierTransformInv_apply, HasDerivAt.sin, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, Asymptotics.IsBigOTVS.mono, ProbabilityTheory.integrable_cauchyPDFReal, Asymptotics.IsLittleOTVS.proj, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, MeasureTheory.MemLp.integrable_norm_pow', Matrix.l2_opNorm_def, Asymptotics.IsBigOTVS.trans, signedDist_apply_linear, Real.differentiableAt_sin, RCLike.wInner_nonneg, Matrix.toEuclideanLin_toLp, Bundle.RiemannianMetric.continuousAt, StrictConcaveOn.leftDeriv_lt_slope, parallelepiped_orthonormalBasis_one_dim, Complex.reCLM_enorm, MeasureTheory.integrable_mconv_iff, Asymptotics.isLittleOTVS_insert, Real.hasDerivAt_sinh, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, Real.deriv_log_comp_eq_logDeriv, norm_innerSL_le, MeasureTheory.eLpNorm'_norm_rpow, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, integrable_cexp_quadratic', Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, InformationTheory.not_differentiableAt_klFun_zero, Real.deriv_cosh, PeriodPair.lattice_eq_span_range_basis, Real.exists_extension_norm_eq, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sin, AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, DifferentiableWithinAt.sinh, DifferentiableOn.arsinh, contDiffOn_infty_iff_derivWithin, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ProbabilityTheory.covarianceBilinDual_of_not_memLp', PadicComplex.nnnorm_extends, SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', UnitAddTorus.span_mFourierLp_closure_eq_top, AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.Integrable.integral_norm_condKernel, Complex.nnnorm_eq_one_of_pow_eq_one, contDiffOn_iff_continuousOn_differentiableOn_deriv, ProbabilityTheory.integrable_gaussianPDFReal, Asymptotics.IsBigOTVS.refl, DifferentiableWithinAt.exp, expNegInvGlue.differentiable_polynomial_eval_inv_mul, HasGradientWithinAt.hasFDerivWithinAt, DifferentiableWithinAt.rpow, hasFDerivAt_exp, Differentiable.rpow, Orientation.volumeForm_comp_linearIsometryEquiv, Pi.orthonormalBasis_repr, Polynomial.hasDerivWithinAt, differentiableAt_iff_comp_sub_const, complexOfReal_derivWithin, norm_fderiv_norm_id_rpow, ContinuousLinearMap.isBigOTVS_id, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, NumberField.Units.basisOfIsMaxRank_fundSystem, LinearMap.isAdjointPair_inner, HasDerivWithinAt.log, NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, WithLp.unitization_nnnorm_def, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, Asymptotics.IsBigOTVS.fst, Affine.Simplex.signedInfDist_apply_of_ne, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, fderivWithin_pow_ring, signedDist_left_lineMap, hasFDerivAt_inv, Real.deriv_mul_log_zero, DifferentiableWithinAt.inner, NumberField.mixedEmbedding.norm_negAt, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, IccRightChart_extend_top, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, BoundedContinuousFunction.char_add_eq_mul, Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, Asymptotics.IsBigO.isBigOTVS, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, ConcaveOn.slope_le_deriv, measurableSet_of_differentiableWithinAt_Ici, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, fderivInnerCLM_apply, ConvexOn.sSup_affine_eq, nndist_self_homothety, boundary_Icc, deriv_sqrt_mul_log', Asymptotics.IsLittleOTVS.of_tendsto_div, LinearIsometry.re_apply_eq_re, Asymptotics.isLittleOTVS_sup, Real.differentiableAt_binEntropy_iff_ne_zero_one, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, SchwartzMap.integrable_pow_mul_iteratedFDeriv, Real.fderiv_fourierChar_neg_bilinear_left_apply, Real.deriv_tan, ConcaveOn.antitoneOn_deriv, isConformalMap_iff_is_complex_or_conj_linear, Asymptotics.isEquivalent_of_tendsto_one', RCLike.span_one_I, Asymptotics.isThetaTVS_iff_isTheta, Real.exists_measure_rpow_eq_integral, Real.fourierIntegral_continuousMultilinearMap_apply', HasGradientAtFilter.hasDerivAtFilter, AddCircle.norm_eq_of_zero, BoundedContinuousFunction.self_eq_nnrealPart_sub_nnrealPart_neg, MeasureTheory.eLpNorm_conj, UpperHalfPlane.hasStrictFDerivAt_smul, inner_gradient_right, ProbabilityTheory.integrable_comp_iff, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, UpperHalfPlane.det_smulFDeriv, Matrix.PosDef.posDef_sqrt, integrable_cexp_neg_mul_sq, Differentiable.cos, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, differentiableAt_comp_sub_const, finrank_euclideanSpace_fin, ConcaveOn.le_slope_of_hasDerivAt, Real.hasStrictDerivAt_exp, le_egauge_closedBall_one, Complex.conjLIE_toCLE, InformationTheory.deriv_klFun, boundary_product, differentiable_sigmoid, LinearMap.mem_span_iff_continuous, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, NormedField.exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, OrthonormalBasis.repr_reindex, DifferentiableAt.abs_of_pos, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, ConvexOn.real_sSup_affine_eq, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, AnalyticOnNhd.eval_continuousLinearMap, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, MeasureTheory.memLp_re_im_iff, ContinuousLinearMap.adjoint_innerSL_apply, HasDerivAt.of_local_left_inverse, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, Asymptotics.isLittleOTVS_pi, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, DifferentiableOn.of_dslope, HasDerivWithinAt.iterate, integrable_of_le_of_pow_mul_le, nndist_homothety_self, DifferentiableAt.abs_of_neg, fderivWithin_fun_mul, Differentiable.div, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, Complex.det_conjLIE, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, RCLike.realLinearIsometryEquiv_apply, derivWithin.log, Orientation.rightAngleRotation_map_complex, ProbabilityTheory.mgf_pos_iff, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_ne, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, ContinuousLinearMap.norm_smulRightL_apply, Asymptotics.IsThetaTVS.rfl, Orientation.areaForm_rightAngleRotation_left, Differentiable.norm, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, NumberField.mixedEmbedding.disjoint_negAt_plusPart, DifferentiableWithinAt.of_dslope, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, DifferentiableAt.dist, contDiff_euclidean, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, RCLike.imCLM_apply, fderiv_sin, hasStrictDerivAt_pow, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, derivWithin_mem_iff, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, ConvexOn.univ_sSup_of_nat_affine_eq, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, hasFDerivAt_exp_of_mem_ball, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, MeasureTheory.Measure.euclideanHausdorffMeasure_def, MeasureTheory.MemLp.ofReal, NormedSpace.dual_def, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, Asymptotics.IsBigOTVS.pi, HasFDerivAt.isLittleOTVS, HasDerivAt.inv, NumberField.house_eq_sup', fderiv_norm_sq, Seminorm.smul_le_smul, Int.Matrix.exists_ne_zero_int_vec_norm_le, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', Real.integrableOn_rpowIntegrand₀₁_Ici, ModularGroup.smul_eq_lcRow0_add, deriv_cosh, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, hasDerivAt_abs_pos, HilbertBasis.hasSum_repr_symm, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', differentiableWithinAt_Ioi_iff_Ici, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, ProbabilityTheory.charFunDual_stdGaussian, differentiableOn_zpow, fderivWithin_mul, HasDerivWithinAt.fun_inv, instIsManifoldIcc, Bundle.ContinuousRiemannianMetric.isVonNBounded, MeasureTheory.integrable_rnDeriv_mul_log_iff, TemperedDistribution.smulLeftCLM_apply_apply, integrableAtFilter_rpow_atTop_iff, deriv_sqrt, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, nndist_lineMap_left, Orientation.inner_mul_areaForm_sub, fderiv_inner_apply, contDiff_one_iff_deriv, deriv2_sqrt_mul_log, Real.hasStrictDerivAt_log_of_pos, HasFDerivWithinAt.fun_mul, contMDiffOn_projIcc, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, MeasureTheory.pdf.hasFiniteIntegral_mul, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, Asymptotics.IsThetaTVS.refl, parallelepiped_single, HasStrictFDerivAt.finset_prod, contMDiff_circleExp, HasDerivWithinAt.limsup_slope_le, Quaternion.nnnorm_coe, DifferentiableWithinAt.cos, Real.deriv2_negMulLog, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Urysohns.CU.lim_eq_midpoint, MeasureTheory.Measure.integrable_pow_neg_integrablePower, hasFDerivAt_integral_of_dominated_loc_of_lip, norm_jacobiTheta₂_term_fderiv_le, MeasureTheory.taylorWithinEval_charFun_zero, fderiv_eq_smul_deriv, integrableOn_rpow_mul_exp_neg_mul_rpow, MeasureTheory.Measure.integrable_toReal_rnDeriv, BoundedContinuousFunction.char_apply, Real.isEquivalent_sinh, Int.Matrix.exists_ne_zero_int_vec_norm_le', intervalIntegral.differentiableOn_integral_of_continuous, hasStrictFDerivAt_exp_smul_const_of_mem_ball, differentiable_circleMap, integrableOn_exp_mul_complex_Ioi, NormedSpace.exp_add, MeasureTheory.Integrable.im, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, ProbabilityTheory.integrable_stieltjesOfMeasurableRat, Complex.restrictScalars_toSpanSingleton', Real.differentiableAt_negMulLog_iff, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal, BoundedContinuousFunction.integrable_of_nnreal, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, IsLocalMinOn.fderivWithin_eq_zero, Real.deriv2_mul_log, Complex.reCLM_apply, Real.hasDerivAt_negMulLog, Orientation.abs_volumeForm_apply_le, Complex.conjLIE_symm, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding', StrictConvexOn.slope_lt_of_hasDerivAt, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, Affine.Simplex.signedInfDist_incenter, HasStrictDerivAt.fun_pow, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mul_comm 📖	mathematical	—	NonUnitalNonAssocRing.toMul NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing toNonUnitalSeminormedRing	—	—

NonUnitalSeminormedRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toNonUnitalRing 📖	CompOp	68 math math: ContinuousLinearMap.mulLeftRight_isBoundedBilinear, BoundedContinuousFunction.nnnorm_add_eq_max, Unitization.splitMul_apply, BoundedContinuousFunction.instSMulCommClass_1, mulRight_bound, Metric.unitBall.instContinuousMul, BoundedContinuousFunction.instSMulCommClass_2, ContinuousMap.norm_add_eq_max, ContinuousLinearMap.opNorm_mul, Matrix.linfty_opNNNorm_mulVec, PositiveLinearMap.leftMulMapPreGNS_apply, ContinuousLinearMap.mulLeftRight_apply, nnnorm_mul_le, norm_mul_le, RegularNormedAlgebra.isometry_mul', nnnorm_mul₃_le, hasFDerivAt_ringInverse, ContinuousLinearMap.opNorm_mul_apply, fderiv_inverse, fderivWithin_inv', norm_mul₃_le, instBoundedMul, dist_eq, Filter.Tendsto.zero_mul_isBoundedUnder_le, Metric.unitClosedBall.coe_mul, BoundedContinuousFunction.instIsScalarTower_1, Filter.isBoundedUnder_le_mul_tendsto_zero, NonUnitalAlgHom.coe_Lmul, Unitization.norm_eq_sup, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, Metric.unitBall.instIsLeftCancelMulZero, toIsTopologicalRing, BoundedContinuousFunction.nnnorm_sum_eq_sup, ContinuousLinearMap.opNorm_mul_le, ContinuousLinearMap.isometry_mul, isBoundedSMul, hasStrictFDerivAt_ringInverse, ContinuousLinearMap.mul_apply', isBoundedSMulOpposite, Matrix.linfty_opNorm_mulVec, ContinuousLinearMap.opNNNorm_mul, spectrum.hasFDerivAt_resolvent, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, Matrix.linfty_opNNNorm_mul, toContinuousMul, ContinuousMap.nnnorm_add_eq_max, Matrix.linfty_opNorm_mul, ContinuousLinearMap.opNorm_mul_apply_le, Metric.unitBall.coe_mul, Unitization.nnnorm_eq_sup, Metric.unitBall.instIsRightCancelMulZero, DoubleCentralizer.coe_fst, NonUnitalSeminormedCommRing.mul_comm, BoundedContinuousFunction.norm_add_eq_max, hasStrictFDerivAt_inv', Metric.unitClosedBall.instContinuousMul, norm_mul_le, ContinuousLinearMap.opNorm_mulLeftRight_le, Metric.unitBall.instIsCancelMulZero, hasFDerivAt_inv', nnnorm_mul_le_of_le, SeminormedRing.toRingSeminorm_apply, norm_mul_le_of_le, ContinuousLinearMap.opNNNorm_mul_apply, ContinuousMap.nnnorm_sum_eq_sup, mulLeft_bound, ContinuousLinearMap.coe_mulₗᵢ, fderiv_inv'
toNorm 📖	CompOp	13 math math: mulRight_bound, norm_mul_le, ContinuousLinearMap.opNorm_mul_apply, norm_mul₃_le, dist_eq, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, Matrix.linfty_opNorm_mulVec, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, Matrix.linfty_opNormOneClass, ContinuousLinearMap.opNorm_mul_apply_le, norm_mul_le, norm_mul_le_of_le, mulLeft_bound
toPseudoMetricSpace 📖	CompOp	295 math math: CStarAlgebra.preimage_inr_Icc_zero_one, integrableOn_cfcₙ', continuous_cfcₙHomSuperset_left, cfcₙL_integral, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, DoubleCentralizer.star_snd, ContinuousWithinAt.cfcₙ, CFC.monotoneOn_one_sub_one_add_inv, nnnorm_cfcₙ_nnreal_le_iff, CFC.monotone_nnrpow, DoubleCentralizer.intCast_snd, DoubleCentralizer.range_toProdMulOpposite, BoundedContinuousFunction.nnnorm_add_eq_max, Unitization.real_cfcₙ_eq_cfc_inr, DoubleCentralizer.natCast_fst, isClosedEmbedding_cfcₙAux, Unitization.splitMul_apply, DoubleCentralizer.nnnorm_def', nnnorm_cfcₙ_lt_iff, DoubleCentralizer.zero_snd, CFC.nnnorm_sqrt, ContinuousOn.cfcₙ', IsGreatest.nnnorm_cfcₙ, exist_norm_eq, BoundedContinuousFunction.instSMulCommClass_1, CStarModule.innerSL_apply, CStarAlgebra.span_nonneg_inter_unitBall, Metric.unitBall.instContinuousMul, DoubleCentralizer.pow_snd, RCLike.nonUnitalContinuousFunctionalCalculus, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, CStarAlgebra.tendsto_mul_left_iff_tendsto_mul_right, compactlySupported_eq_top_of_isCompact, cfcₙ_setIntegral, CStarMatrix.toCLM_injective, Unitization.sqrt_inr, BoundedContinuousFunction.instSMulCommClass_2, ContinuousMap.norm_add_eq_max, ContinuousLinearMap.opNorm_mul, DoubleCentralizer.smul_toProd, DoubleCentralizer.toProdMulOpposite_injective, DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, Unitization.dist_inr, DoubleCentralizer.norm_def', CStarMatrix.norm_def', WithLp.unitization_algebraMap, CStarMatrix.inner_toCLM_conjTranspose_left, CFC.continuousOn_sqrt, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, DoubleCentralizer.norm_def, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, PositiveLinearMap.preGNS_norm_def, PositiveLinearMap.leftMulMapPreGNS_apply, ContinuousLinearMap.mulLeftRight_apply, RegularNormedAlgebra.isometry_mul', DoubleCentralizer.central, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, CompletelyPositiveMap.instLinearMapClassComplex, hasFDerivAt_ringInverse, norm_cfcₙ_lt, Filter.IsIncreasingApproximateUnit.toIsApproximateUnit, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, IsGreatest.norm_cfcₙ, DoubleCentralizer.nnnorm_def, nnnorm_cfcₙ_nnreal_lt, CFC.norm_star_mul_mul_self_of_nonneg, Continuous.cfcₙ_of_mem_nhdsSet, PositiveLinearMap.instContinuousLinearMapClassComplexOfLinearMapClassOfOrderHomClass, cfcₙHom_integral, Continuous.cfcₙ, ContinuousLinearMap.opNorm_mul_apply, continuousOn_cfcₙ, DoubleCentralizer.neg_snd, Unitization.cobounded_eq_aux, CStarAlgebra.instOrderClosedTopology, fderiv_inverse, DoubleCentralizer.range_toProd, Unitization.splitMul_injective_of_clm_mul_injective, PositiveLinearMap.preGNS_inner_def, fderivWithin_inv', DoubleCentralizer.add_fst, instBoundedMul, cfcₙAux_id, dist_eq, compactlySupported_eq_top, CStarAlgebra.norm_posPart_le, IsGreatest.nnnorm_cfcₙ_nnreal, CStarAlgebra.span_nonneg_inter_unitClosedBall, Filter.Tendsto.zero_mul_isBoundedUnder_le, CFC.continuous_abs, DoubleCentralizer.smul_fst, coe_ringEquiv_lpBCF, nnnorm_apply_le_nnnorm_cfcₙ, Metric.unitClosedBall.coe_mul, BoundedContinuousFunction.instIsScalarTower_1, Filter.isBoundedUnder_le_mul_tendsto_zero, integrable_cfcₙ, PositiveLinearMap.toPreGNS_ofPreGNS, NonUnitalAlgHom.coe_Lmul, PositiveLinearMap.exists_norm_apply_le, DoubleCentralizer.star_fst, norm_cfcₙ_lt_iff, compactlySupported_eq_top_iff, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, DoubleCentralizer.add_snd, Continuous.cfcₙ_nnreal, DoubleCentralizer.norm_snd, DoubleCentralizer.nnnorm_fst, ContinuousAt.cfcₙ_nnreal, Unitization.continuous_snd, CStarMatrix.toCLM_apply_single, ContinuousMap.norm_sub_eq_max, Unitization.norm_eq_sup, CStarMatrix.toCLM_apply_eq_sum, Filter.Tendsto.cfcₙ, WithCStarModule.pi_norm, inr_comp_cfcₙHom_eq_cfcₙAux, CFC.monotoneOn_one_sub_one_add_inv_real, lp.infty_smulCommClass, DoubleCentralizer.neg_toProd, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg, ContinuousWithinAt.cfcₙ_nnreal, CStarMatrix.ofMatrix_eq_ofMatrixL, CFC.continuousOn_nnrpow, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, DoubleCentralizer.algebraMap_snd, DoubleCentralizer.one_snd, upperHemicontinuous_quasispectrum, Metric.unitBall.instIsLeftCancelMulZero, Filter.Tendsto.cfcₙ_nnreal, CStarMatrix.toCLM_apply, DoubleCentralizer.algebraMap_toProd, toIsTopologicalRing, DoubleCentralizer.instIsCentralScalar, norm_lt_iff_of_compactlySupported, mem_compactlySupported, nnnorm_cfcₙ_nnreal_lt_iff, PositiveLinearMap.gnsStarAlgHom_apply, DoubleCentralizer.pow_toProd, BoundedContinuousFunction.nnnorm_sum_eq_sup, WithCStarModule.pi_inner, ContinuousMap.instCStarRing, DoubleCentralizer.zero_fst, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, CStarMatrix.mul_entry_mul_eq_inner_toCLM, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, ContinuousLinearMap.opNorm_mul_le, BoundedContinuousFunction.instCStarRing, cfcₙAux_injective, ZeroAtInftyContinuousMap.instCStarRing, Unitization.uniformContinuous_snd, ContinuousLinearMap.isometry_mul, DoubleCentralizer.sub_toProd, DoubleCentralizer.nnnorm_fst_eq_snd, Unitization.norm_def, ofCompactSupport_mem, DoubleCentralizer.one_fst, DoubleCentralizer.coeHom_apply, integrableOn_cfcₙ, norm_cfcₙ_le, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg', spec_cfcₙAux, BoundedContinuousFunction.norm_sub_eq_max, ContinuousOn.cfcₙ_nnreal', integrable_cfcₙ', DoubleCentralizer.sub_fst, Unitization.nnreal_cfcₙ_eq_cfc_inr, isBoundedSMul, hasStrictFDerivAt_ringInverse, ContinuousLinearMap.mul_apply', isBoundedSMulOpposite, DoubleCentralizer.pow_fst, upperHemicontinuous_quasispectrum_nnreal, CStarAlgebra.conjugate_le_norm_smul', nnnorm_cfcₙHom, ContinuousLinearMap.opNNNorm_mul, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, ContinuousOn.cfcₙ, CFC.nnrpow_le_nnrpow, DoubleCentralizer.algebraMap_fst, CStarAlgebra.span_nonneg_inter_closedBall, CStarAlgebra.isClosed_nonneg, spectrum.hasFDerivAt_resolvent, ContinuousOn.cfcₙ_of_mem_nhdsSet, CStarAlgebra.star_left_conjugate_le_norm_smul, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, toContinuousMul, ContinuousMap.nnnorm_add_eq_max, DoubleCentralizer.mul_fst, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, PositiveLinearMap.ofPreGNS_toPreGNS, ContinuousLinearMap.opNorm_mul_apply_le, CStarMatrix.normedSpaceCore, Metric.unitBall.coe_mul, Continuous.cfcₙ', CFC.norm_abs, Unitization.isUniformEmbedding_addEquiv, cfcₙAux_mem_range_inr, Unitization.nnnorm_eq_sup, DoubleCentralizer.zero_toProd, CStarModule.inner_mul_inner_swap_le, Metric.unitBall.instIsRightCancelMulZero, BoundedContinuousFunction.nnnorm_sub_eq_max, CFC.monotone_sqrt, CStarAlgebra.conjugate_le_norm_smul, ContinuousAt.cfcₙ, DoubleCentralizer.norm_fst, nnnorm_cfcₙ_le_iff, DoubleCentralizer.coe_fst, norm_cfcₙ_one_sub_one_add_inv_lt_one, continuousOn_cfcₙ_nnreal, lp.infty_isScalarTower, CStarAlgebra.directedOn_nonneg_ball, continuousOn_cfcₙ_setProd, Unitization.complex_cfcₙ_eq_cfc_inr, Filter.comap_mul_left_cobounded, CStarAlgebra.norm_negPart_le, Unitization.nndist_inr, CFC.sqrt_le_sqrt, DoubleCentralizer.natCast_toProd, CStarModule.continuous_inner, DoubleCentralizer.one_toProd, continuous_cfcₙAux, Unitization.norm_splitMul_snd_sq, DoubleCentralizer.natCast_snd, CompletelyPositiveMap.map_cstarMatrix_nonneg', CStarMatrix.uniformEmbedding_ofMatrix, coe_ringEquiv_lpBCF_symm, Unitization.splitMul_injective, DoubleCentralizer.sub_snd, BoundedContinuousFunction.norm_add_eq_max, WithCStarModule.pi_norm_sq, cfcₙ_setIntegral', hasStrictFDerivAt_inv', ContinuousOn.cfcₙ_nnreal, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, Metric.unitClosedBall.instContinuousMul, WithLp.unitization_mul, DoubleCentralizer.instStarModule, CStarAlgebra.star_right_conjugate_le_norm_smul, norm_apply_le_norm_cfcₙ, ContinuousLinearMap.opNorm_mulLeftRight_le, DoubleCentralizer.intCast_fst, Filter.comap_mul_right_cobounded, Metric.unitBall.instIsCancelMulZero, CStarAlgebra.span_nonneg_inter_ball, ContinuousMapZero.elemental_eq_top, Unitization.uniformity_eq_aux, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, cfcₙL_integrable, CFC.norm_mul_mul_star_self_of_nonneg, norm_lt_iff_of_nonempty_compactlySupported, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, hasFDerivAt_inv', CStarAlgebra.hasBasis_approximateUnit, nnnorm_cfcₙ_le, nnnorm_cfcₙ_nnreal_le, apply_le_nnnorm_cfcₙ_nnreal, continuousOn_cfcₙ_nnreal_setProd, CFC.norm_sqrt, CStarAlgebra.tendsto_mul_right_of_forall_nonneg_tendsto, DoubleCentralizer.toProdHom_apply, DoubleCentralizer.mul_snd, MonotoneOn.nnnorm_cfcₙ, ContinuousLinearMap.opNNNorm_mul_apply, ContinuousMap.nnnorm_sum_eq_sup, CFC.nnnorm_nnrpow, DoubleCentralizer.intCast_toProd, norm_cfcₙ_le_iff, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, CFC.norm_nnrpow, DoubleCentralizer.smul_snd, CStarAlgebra.exists_sum_four_nonneg, DoubleCentralizer.coe_snd, PositiveLinearMap.preGNS_norm_sq, ContinuousLinearMap.coe_mulₗᵢ, CStarMatrix.norm_def, Unitization.continuous_inr, DoubleCentralizer.add_toProd, CFC.abs_eq_zero_iff, Continuous.cfcₙ_nnreal', DoubleCentralizer.neg_fst, CStarMatrix.inner_toCLM_conjTranspose_right, NonUnitalStarAlgHom.instContinuousLinearMapClassComplex, CStarMatrix.toCLM_apply_single_apply, DoubleCentralizer.toProdMulOppositeHom_apply, Unitization.cfcₙ_eq_cfc_inr, fderiv_inv', cfcₙ_integral', ContinuousMap.nnnorm_sub_eq_max, nnnorm_cfcₙ_lt
toSeminormedAddCommGroup 📖	CompOp	3489 math math: Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, hasFDerivAt_iff_hasDerivAt, MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal, iteratedDeriv_scomp_two, Real.differentiableOn_arcosh, isEquivalent_descFactorial, Real.hasDerivAt_arccos, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, TemperedDistribution.lineDerivOpCLM_eq, BoundedContinuousFunction.tietze_extension_step, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, InformationTheory.integrable_klFun_rnDeriv_iff, Orientation.kahler_map_complex, Polynomial.differentiableWithinAt, HasStrictDerivAt.fun_pow', DifferentiableOn.zpow, nnnorm_inv, integrableOn_cfcₙ', MeasureTheory.Integrable.integral_norm_prod_right, Seminorm.isBounded_const, isConformalMap_conj, MeasureTheory.eLpNorm'_norm, HasDerivWithinAt.clog_real, MeasureTheory.eLpNormEssSup_const_smul_le, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, Bundle.ContMDiffRiemannianMetric.isVonNBounded, NormedSpace.isBounded_polar_of_mem_nhds_zero, TensorProduct.enorm_lid, topDualPairing_isContPerfPair, differentiableAt_comp_neg, continuous_cfcₙHomSuperset_left, deriv_exp, cfcₙL_integral, HasStrictFDerivAt.fun_mul', Real.integrableOn_rpowIntegrand₀₁_Ioi, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, Matrix.frobenius_nnnorm_mul, HasMFDerivAt.mul, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, MonotoneOn.intervalIntegral_slope_le, HasDerivAt.const_rpow, Distribution.delta_apply, RingHom.compLeftContinuousBounded_apply_apply, ProbabilityTheory.isGaussian_iff_gaussian_charFun, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, Real.differentiable_arctan, norm_cfcₙHom, List.nnnorm_prod, RCLike.map_apply, Unitary.toLinearMap_mulRight, Real.differentiableAt_mulExpNegMulSq, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, IsStarNormal.instNonUnitalContinuousFunctionalCalculus, Complex.restrictScalars_one_smulRight', IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, IsStarNormal.spectralRadius_eq_nnnorm, MeasureTheory.Integrable.bdd_mul', DoubleCentralizer.star_snd, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, Asymptotics.IsBigOTVS.congr', MeasureTheory.Integrable.fin_nat_prod, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, deriv_arctan, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, Asymptotics.IsEquivalent.zpow, Real.hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, Real.differentiableAt_arcsin, LinearMap.toLinearMap_tracePositiveLinearMap, Complex.linearEquiv_det_conjLIE, ContinuousWithinAt.cfcₙ, Ideal.toCharacterSpace_apply_eq_zero_of_mem, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasStrictFDerivAt_exp_of_mem_ball, DifferentiableWithinAt.log, hasFDerivAt_iff_hasGradientAt, MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, ConvexOn.le_slope_of_hasDerivAt, MeasureTheory.eLpNormEssSup_const_smul, RCLike.reCLM_apply, HasStrictDerivAt.rpow, NumberField.Units.finrank_eq_rank, StrictConvexOn.slope_lt_leftDeriv, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, CFC.monotoneOn_one_sub_one_add_inv, derivWithin_smul, Differentiable.fun_div, MeasureTheory.MemLp.const_mul, hasStrictFDerivAt_list_prod_finRange', MeasureTheory.taylor_charFun_two, InnerProductSpace.rankOne_one_left_eq_innerSL, ConvexOn.rightDeriv_le_slope_of_mem_interior, Asymptotics.IsThetaTVS.trans_isBigOTVS, NonUnitalCStarAlgebra.toStarModule, hasDerivAt_sqrt_mul_log, StrongDual.norm_extendRCLike, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, Polynomial.isEquivalent_atBot_div, nnnorm_cfcₙ_nnreal_le_iff, ZSpan.volume_real_fundamentalDomain, ContinuousLinearMap.opNorm_bound_of_ball_bound, Complex.ofRealCLM_coe, Complex.kahler, HasFDerivWithinAt.pow, RightDerivMeasurableAux.D_subset_differentiable_set, Complex.areaForm, finrank_real_complex_fact', nnnorm_cfc_lt, EuclideanSpace.orthonormal_single, HasDerivWithinAt.div_const, Real.deriv_negMulLog, Real.hasDerivAt_sigmoid, fderivWithin_fun_smul, Polynomial.derivWithin_aeval, complexOfReal_hasDerivWithinAt, AffineMap.hasDerivAtFilter, PositiveLinearMap.apply_le_of_isSelfAdjoint, Matrix.IsHermitian.det_abs, RCLike.ofRealLI_apply, deriv_abs, differentiableAt_zpow, hasFDerivAt_multiset_prod, Asymptotics.IsEquivalent.multisetProd, Stirling.factorial_isEquivalent_stirling, ProbabilityTheory.covarianceBilinDual_apply', BoundedContinuousFunction.algebraMap_apply, Real.nnnorm_deriv_mulExpNegMulSq_le_one, OrthonormalBasis.repr_injective, derivWithin_id', Real.deriv_binEntropy, CFC.monotone_nnrpow, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, HasDerivWithinAt.liminf_right_slope_le, DifferentiableAt.mul, Complex.ofRealLI_apply, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, DifferentiableOn.sqrt, BoundedContinuousFunction.integral_eq_integral_nnrealPart_sub, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_ne, SchwartzMap.pairing_apply_apply, norm_iteratedFDerivWithin_smul_le, Matrix.cstar_nnnorm_def, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, egauge_prod_mk, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, derivWithin_mul_const, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, logDeriv_comp, StrongDual.polarSubmodule_eq_setOf, HasStrictDerivAt.pow, DifferentiableAt.div, ContinuousMap.attachBound_apply_coe, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, ContinuousLinearMap.hasDerivAtFilter, DoubleCentralizer.intCast_snd, PeriodPair.basis_one, HasDerivAtFilter.comp_hasFDerivAtFilter, StrictConvexOn.deriv_lt_slope, DoubleCentralizer.range_toProdMulOpposite, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, DifferentiableAt.fun_inv, Differentiable.cosh, integrableOn_cfc', OpenPartialHomeomorph.hasDerivAt_symm, ContDiffBump.integrable, ZLattice.covolume_eq_det_inv, ContinuousLinearMap.integral_apply, Unitary.mem_pathComponentOne_iff, HasDerivAt.fun_finset_prod, circleIntegrable_iff, ProbabilityTheory.covarianceBilinDual_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', MeasureTheory.MemLp.const_inner, not_integrableOn_Ioi_cpow, MeasureTheory.AEStronglyMeasurable.memLp_truncation, BoundedContinuousFunction.nnnorm_add_eq_max, Real.fderiv_fourierChar_neg_bilinear_right_apply, ProbabilityTheory.isGaussian_multivariateGaussian, BoundedContinuousFunction.char_neg, MeasureTheory.iteratedDeriv_charFun_zero, Unitization.real_cfcₙ_eq_cfc_inr, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, LipschitzWith.memLp_lineDeriv, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, DoubleCentralizer.natCast_fst, differentiableWithinAt_abs_pos, continuousOn_dslope, StrictConcaveOn.lt_slope_of_hasDerivAt, Module.Dual.extendRCLikeₗ_symm_apply, ProbabilityTheory.integrable_preCDF, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, isClosedEmbedding_cfcₙAux, DifferentiableWithinAt.norm, det_fderivPolarCoordSymm, AddChar.wInner_cWeight_self, AddCircle.coe_real_preimage_closedBall_eq_iUnion, innerSL_apply_apply, MeasureTheory.Integrable.neg_part, fderiv_multiset_prod, ProbabilityTheory.covarianceBilin_multivariateGaussian, DifferentiableWithinAt.sqrt, MeasureTheory.Integrable.norm_integral_condExpKernel, LinearMap.adjoint_innerₛₗ_apply, Real.differentiable_sinh, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, hasDerivAt_neg', AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, ProbabilityTheory.covarianceBilin_apply_eq_cov, iteratedDerivWithin_comp_two, ProbabilityTheory.covarianceBilin_self, DoubleCentralizer.nnnorm_def', MeasureTheory.MemLp.integrable_mul, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, HasFDerivAt.fun_mul, Asymptotics.IsLittleOTVS.tendsto_div, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, nnnorm_cfcₙ_lt_iff, deriv_mul_const_field, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, DoubleCentralizer.zero_snd, LeftInvariantDerivation.left_invariant', Int.enorm_natCast, selfAdjoint.expUnitaryPathToOne_apply, StrictConcaveOn.slope_lt_rightDeriv, hasDerivAt_bernoulliFun, Orientation.volumeForm_neg_orientation, derivWithin_fderivWithin, deriv_fun_pow', CFC.nnnorm_sqrt, List.nnnorm_prod_le', ContDiffBump.integrable_normed, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg, ProbabilityTheory.uncenteredCovarianceBilin_apply, StrongDual.norm_extendRCLike_bound, Real.deriv_log, selfAdjoint.norm_sq_expUnitary_sub_one, ContDiff.differentiable_deriv_two, StrictConvexOn.rightDeriv_lt_slope, derivWithin_arctan, FormalMultilinearSeries.derivSeries_coeff_one, Complex.ofRealCLM_norm, Matrix.spectrum_toLpLin, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, ContinuousOn.cfcₙ', ContinuousLinearMap.opNorm_lsmul_apply_le, StarAlgebra.elemental.characterSpaceToSpectrum_coe, rotation_injective, intervalIntegral.integrableOn_deriv_of_nonneg, BoxIntegral.unitPartition.mem_smul_span_iff, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, deriv_mul_const, IsConformalMap.is_complex_or_conj_linear, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_ne, AkraBazziRecurrence.isBigO_apply_r_sub_b, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, DifferentiableAt.sigmoid, AffineMap.hasDerivWithinAt, LeftInvariantDerivation.left_invariant, MeasureTheory.pdf.IsUniform.mul_pdf_integrable, ProbabilityTheory.integrable_toReal_condExpKernel, Bundle.RiemannianMetric.isVonNBounded, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, HasStrictDerivAt.of_local_left_inverse, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, IsGreatest.nnnorm_cfcₙ, Complex.convexHull_reProdIm, exist_norm_eq, Complex.conjLIE_apply, one_mem_posTangentConeAt_iff_frequently, Real.hasDerivAt_sin, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, MeasureTheory.Integrable.simpleFunc_mul', Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, BoundedContinuousFunction.instSMulCommClass_1, egauge_ball_le_of_one_lt_norm, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasStrictFDerivAt_iff_isLittleOTVS, not_IntegrableOn_Ioi_inv, Differentiable.fun_inv, Real.differentiableOn_log, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, Differentiable.fderiv_norm_rpow, lintegral_fderiv_lineMap_eq_edist, Set.OrdConnected.image_deriv, HasStrictDerivAt.pow', MeasureTheory.Integrable.mul_prod, signedDist_right_congr, differentiableWithinAt_inv, AddCircle.isAddFundamentalDomain_of_ae_ball, Asymptotics.IsBigOTVS.add, TensorProduct.toLinearEquiv_lidIsometry, Real.differentiableOn_arcsin, ContinuousLinearMap.isometry_mul_flip, DifferentiableOn.fun_mul, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', inner_gradientWithin_right, fderiv_fun_pow, MeasureTheory.MemLp.integrable_norm_rpow', Complex.hasStrictFDerivAt_exp_real, NumberField.natAbs_discr_eq_natAbs_discr_pow_mul_natAbs_discr_pow, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, DifferentiableWithinAt.inverse, WithCStarModule.prod_norm_sq, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Module.Basis.parallelepiped_basisFun, SchwartzMap.laplacianCLM_eq, fderiv_fun_smul, CStarModule.innerSL_apply, monomial_has_deriv_aux, MeasureTheory.hasFiniteIntegral_prod_iff', Real.vector_fourierIntegral_eq_integral_exp_smul, StrictConvexOn.strictMonoOn_deriv, DifferentiableAt.zpow, MeasureTheory.MemLp.norm_rpow, nndist_midpoint_right, HasStrictFDerivAt.pow, egauge_add_add_le, MeasureTheory.MemLp.prod, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, ProbabilityTheory.IsGaussian.integrable_exp_sq_of_conv_neg, Asymptotics.isLittleOTVS_prodMk_left, derivWithin_cosh, NNReal.enorm_eq, fderivWithin_sinh, nndist_smul₀, iter_deriv_zpow', derivWithin_fun_mul, Asymptotics.IsBigOTVS.comp_tendsto, differentiableWithinAt_abs, CStarAlgebra.span_nonneg_inter_unitBall, deriv.scomp_of_eq, Real.deriv_arccos, Real.hasStrictDerivAt_sinh, MeasureTheory.integrable_const_mul_iff, HasStrictFDerivAt.const_mul, ProbabilityTheory.integrable_pow_abs_of_integrable_exp_mul, LocallyBoundedVariationOn.ae_differentiableWithinAt, ContinuousLinearMap.opNorm_mul_flip_apply, deriv_conj_conj, ConvexOn.univ_sSup_of_countable_affine_eq, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_quasispectrum, integrableOn_exp_Iic, cfcₙHom_nnreal_eq_restrict, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, IsLocalFrameOn.coeff_apply_of_mem, HasFDerivAt.finset_prod, hasStrictDerivAt_abs_pos, deriv_sqrt_mul_log, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, Bundle.Trivialization.localFrame_coeff_congr, StrictConcaveOn.slope_lt_derivWithin, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, derivWithin.scomp_of_eq, polynomialFunctions.starClosure_topologicalClosure, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, WithCStarModule.inner_def, Real.hasStrictFDerivAt_rpow_of_pos, hasFDerivWithinAt_inv, differentiableAt_sigmoid, DoubleCentralizer.pow_snd, OrthonormalBasis.repr_self, iteratedDeriv_scomp_three, fderiv_fun_pow', Real.integrable_prod_sub, MeasureTheory.eLpNorm_mono_real, norm_sub_mul_le', Orientation.volumeForm_map, rotation_apply, toMatrix_rotation, Icc_isBoundaryPoint_bot, mellin_convergent_zero_of_isBigO, Differentiable.zpow, derivWithin.scomp, deriv_abs_neg, ProbabilityTheory.evariance_lt_top_iff_memLp, Real.differentiableWithinAt_arccos_Ici, gelfandStarTransform_naturality, gelfandStarTransform_apply_apply, DifferentiableWithinAt.abs_of_pos, RCLike.nonUnitalContinuousFunctionalCalculus, Asymptotics.IsLittleOTVS.trans_isThetaTVS, deriv.log, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, integrableOn_Ioi_rpow_of_lt, ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zero, NormedSpace.Dual.toWeakDual_continuous, HasFDerivWithinAt.const_mul, ConcaveOn.slope_le_of_hasDerivAt, signedDist_left_congr, NormedField.exists_lt_nnnorm_lt, deriv_fun_inv'', exists_deriv_eq_zero, Real.nnnorm_exp_I_mul_ofReal_sub_one_le, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, NormedField.exists_nnnorm_lt_one, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, egauge_univ, differentiableAt_comp_add_const, integrableOn_Ioi_norm_cpow_of_lt, CStarAlgebra.mem_Icc_iff_nnnorm_le_one, QuadraticForm.equivalent_signType_weighted_sum_squared, OrthonormalBasis.measurePreserving_repr, InformationTheory.leftDeriv_klFun_one, Asymptotics.IsLittleOTVS.prodMk, SchwartzMap.integral_fourierInv_smul_eq, ContinuousMultilinearMap.norm_mkPiAlgebra_le, RCLike.reCLM_norm, MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, HasDerivWithinAt.sin, Real.hasDerivAt_arcosh, cfcₙ_setIntegral, ConvexOn.monotoneOn_rightDeriv, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, CStarMatrix.toCLM_injective, Asymptotics.IsLittleOTVS.insert, enorm_fderiv_norm_rpow_le, formalMultilinearSeries_geometric_apply_norm_le, DifferentiableAt.fun_finset_prod, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, Unitization.sqrt_inr, MeasureTheory.Integrable.simpleFunc_mul, MonotoneOn.intervalIntegrable_deriv, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, HasDerivAt.sqrt, BoundedContinuousFunction.instSMulCommClass_2, fderiv_eq_deriv_mul, nndist_right_lineMap, Orientation.abs_volumeForm_apply_of_orthonormal, ContinuousLinearMap.toSesqForm_apply_coe, signedDist_linear_apply_apply, spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div, ContinuousMap.norm_add_eq_max, BoxIntegral.hasIntegral_GP_pderiv, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, NumberField.mixedEmbedding.negAt_apply_snd, StrictConvexOn.lt_slope_of_hasDerivAt, Real.GammaIntegral_convergent, nnnorm_algebraMap_nnreal, Polynomial.isEquivalent_cobounded_leading_monomial, NonUnitalStarAlgHom.nnnorm_apply_le, Matrix.toEuclideanLin_apply, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.charFunDual_eq_charFun_map_one, fderivWithin_const_mul, HasFDerivWithinAt.multiset_prod, fourier_norm, ContinuousLinearMap.opNorm_mul, DifferentiableOn.mul, DoubleCentralizer.smul_toProd, MeasureTheory.memLp_two_iff_integrable_sq_norm, mfderivWithin_projIcc_one, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, egauge_zero_zero, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, Real.hasStrictDerivAt_arccos, DoubleCentralizer.toProdMulOpposite_injective, RCLike.conjCLE_apply, MeasureTheory.integrable_norm_rpow_iff, Asymptotics.IsLittleOTVS.neg_right, isBoundedBilinearMap_mul, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', DoubleCentralizer.norm_fst_eq_snd, Unitization.nnnorm_def, Asymptotics.IsEquivalent.add_add_of_nonneg, Matrix.linfty_opNNNorm_mulVec, isScalarTower_closedBall_closedBall_closedBall, nndist_left_lineMap, Unitization.instStarOrderedRing, HasFDerivAt.fun_smul, Euclidean.closedBall_eq_image, NumberField.mixedEmbedding.negAt_preimage, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, isScalarTower_sphere_closedBall_closedBall, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, QuadraticForm.equivalent_one_neg_one_weighted_sum_squared, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, Complex.deriv_ofReal_cpow_const, PiTensorProduct.mapL_smul, BoundedContinuousFunction.coe_toContinuousMapStarₐ, cfcL_integrable, DoubleCentralizer.norm_def', MeasureTheory.L1.setToL1_smul_left, CStarMatrix.norm_def', IsGreatest.nnnorm_cfc_nnreal, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, MeasureTheory.eLpNorm_norm, DifferentiableAt.fun_div, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, MeasureTheory.integrable_toReal_rnDeriv_mul_iff, Real.norm_deriv_mulExpNegMulSq_le_one, Quaternion.linearIsometryEquivTuple_symm_apply, Polynomial.isEquivalent_atTop_lead, MeasureTheory.LocallyIntegrableOn.continuousOn_mul, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, Pi.counit_eq_adjoint, WithLp.unitization_algebraMap, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, MeasureTheory.charFun_apply_real, StrictConcaveOn.deriv_lt_slope, Orientation.areaForm_to_volumeForm, deriv_fun_mul, Icc_isInteriorPoint_interior, VectorFourier.fourierIntegral_continuousLinearMap_apply, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, signedDist_le_dist, Real.not_continuousAt_deriv_mul_log_zero, integrable_one_add_norm, MeasureTheory.Integrable.const_mul, ProbabilityTheory.integrable_condCDF, MeasureTheory.HasFiniteIntegral.mul_const, HasFDerivAtFilter.isThetaTVS_sub, integrableOn_add_rpow_Ioi_of_lt, InformationTheory.klDiv_eq_top_iff, HasStrictFDerivAt.list_prod', SchwartzMap.fourier_lineDerivOp_eq, HasFDerivWithinAt.isThetaTVS_sub, LinearMap.isBigOTVS_rev_comp, AddChar.wInner_cWeight_eq_zero_iff_ne, NormedField.exists_one_lt_enorm, ContinuousLinearMapWOT.inducingFn_apply, CStarMatrix.inner_toCLM_conjTranspose_left, Orientation.areaForm_neg_orientation, hasStrictDerivAt_exp_smul_const, fderivWithin_sin, StrictConcaveOn.slope_lt_deriv, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, CFC.continuousOn_sqrt, Monotone.ae_differentiableAt, ConvexOn.slope_le_deriv, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, Differentiable.abs, Asymptotics.IsBigOTVS.neg_right, mfderivWithin_comp_projIcc_one, DifferentiableOn.rpow, DoubleCentralizer.norm_def, Unitary.mulRight_trans_mulRight, HasDerivWithinAt.comp, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', SimpleGraph.lapMatrix_toLinearMap₂'_apply'_eq_zero_iff_forall_reachable, NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, egauge_univ_pi, Real.fourier_iteratedFDeriv, nnnorm_div, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, SchwartzMap.smulLeftCLM_real_smul, AddCircle.norm_div_natCast, InnerProductSpace.toDualMap_apply_apply, Differentiable.cexp, HasMFDerivAt.smul, Orientation.kahler_eq_zero_iff, PositiveLinearMap.preGNS_norm_def, HasStrictDerivAt.div, PositiveLinearMap.leftMulMapPreGNS_apply, BoundedContinuousFunction.integral_const_sub, DifferentiableAt.rpow_const, signedDist_apply_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Real.differentiableAt_rpow_const_of_ne, derivWithin_zpow, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, UnitAddTorus.mFourierCoeff_toLp, ProbabilityTheory.gaussianReal_map_continuousLinearMap, WeakDual.toStrongDual_inj, IccLeftChart_extend_interior_pos, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, Asymptotics.IsEquivalent.mul, Differentiable.pow, Orientation.areaForm_swap, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, hasDerivAt_id', HasDerivWithinAt.cos, nnnorm_mul_le, Differentiable.sinh, integrableOn_Ioi_cpow_iff, Bundle.ContinuousRiemannianMetric.symm, deriv_fun_smul, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, fderiv.log, HasStrictDerivAt.arctan, MeasureTheory.MemLp.inner_const, HasStrictDerivAt.mul, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, Complex.sameRay_of_arg_eq, MeasureTheory.Integrable.integral_norm_condDistrib_map, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, hasDerivAt_abs_neg, Orientation.kahler_swap, coe_innerSL_apply, fderivWithin_finset_prod, ProbabilityTheory.integrable_exp_mul_of_nonneg_of_le, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, RegularNormedAlgebra.isometry_mul', ProbabilityTheory.integrable_exp_mul_abs, HasStrictDerivAt.real_of_complex, DoubleCentralizer.central, Matrix.PosSemidef.det_sqrt, Orientation.rotation_map_complex, Real.deriv_rpow_const, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, ProbabilityTheory.integrable_exp_mul_of_abs_le, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, HasDerivAt.differentiableAt, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, DifferentiableWithinAt.dist, MeasureTheory.integrable_thickenedIndicator, NormedField.exists_nnnorm_lt, hasDerivWithinAt_abs, ProbabilityTheory.integrable_pow_mul_exp_of_integrable_exp_mul, MeasureTheory.MemLp.pos_part, MeasureTheory.integrable_of_tendsto, TensorProduct.lidIsometry_apply, HasStrictDerivAt.const_mul, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, ContinuousLinearMap.hasDerivAt, DifferentiableAt.star_conj, nnnorm_mul₃_le, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding, CompletelyPositiveMap.instLinearMapClassComplex, MeasureTheory.eLpNorm_ofReal, Real.deriv_sinh, exists_ratio_deriv_eq_ratio_slope, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, NormedField.exists_lt_enorm, Module.Basis.coe_toOrthonormalBasis_repr, hasFDerivAt_ringInverse, norm_cfcₙ_lt, Filter.HasBasis.isLittleOTVS_iff, MeasureTheory.convolution_precompR_apply, WeakDual.coe_toStrongDual, SchwartzMap.compSubConstCLM_apply, Matrix.linfty_opNNNorm_eq_opNNNorm, VectorFourier.fourierIntegral_iteratedFDeriv, ModularGroup.lcRow0Extend_symm_apply, DifferentiableWithinAt.mul, InformationTheory.hasDerivAt_klFun, integrableOn_Ioi_norm_cpow_iff, contMDiff_coe_sphere, contDiffOn_one_iff_derivWithin, StrictConvexOn.slope_lt_deriv, fderiv_smul, BoundedContinuousFunction.mem_charPoly, Orientation.kahler_comp_rightAngleRotation, Seminorm.ball_smul, BoundedContinuousFunction.charAlgHom_apply, HasDerivAt.fun_pow, ae_differentiableAt_norm, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, HasGradientWithinAt.differentiableWithinAt, MeasureTheory.Integrable.mul_of_top_right, MeasureTheory.memLp_haarAddCircle_iff, NumberField.Units.instZLattice_unitLattice, antilipschitzWith_mul_right, HasFDerivAt.isBigOTVS_sub, HasDerivWithinAt.fun_pow', PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, hasDerivWithinAt_neg, DifferentiableWithinAt.const_mul, Orientation.volumeForm_zero_pos, differentiableWithinAt_pow, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, ProbabilityTheory.complexMGF_mul_I, IsGreatest.norm_cfcₙ, DifferentiableWithinAt.fun_pow, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, DoubleCentralizer.nnnorm_def, Matrix.gram_eq_conjTranspose_mul, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, ProbabilityTheory.Kernel.integrable_densityProcess, NumberField.Units.span_basisOfIsMaxRank, nnnorm_cfcₙ_nnreal_lt, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, FiniteDimensional.rclike_to_real, Complex.equivRealProdCLM_symm_apply, nndist_inv_inv₀, CStarAlgebra.nnnorm_le_iff_of_nonneg, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', CFC.norm_star_mul_mul_self_of_nonneg, nnnorm_smul, List.nnnorm_prod_le, CompactlySupportedContinuousMap.coe_toRealLinearMap, differentiableOn_dslope_of_notMem, IsLocalExtr.fderiv_eq_zero, NumberField.Units.basisOfIsMaxRank_apply, Continuous.cfcₙ_of_mem_nhdsSet, Real.differentiableOn_rpow_const, PositiveLinearMap.instContinuousLinearMapClassComplexOfLinearMapClassOfOrderHomClass, MeasureTheory.MemLp.integrable_norm_pow, RingHomIsometric.enorm_map, NormedField.denseRange_nnnorm, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, SchwartzMap.smulLeftCLM_sum, DifferentiableAt.inverse, PeriodPair.basis_zero, Asymptotics.IsLittleOTVS.congr_left, MeasureTheory.Integrable.norm_integral_condDistrib, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Real.hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, cfcₙHom_integral, Continuous.cfcₙ, ContinuousLinearMap.nnnorm_toSpanSingleton, InformationTheory.leftDeriv_klFun, fderiv_mul_const', LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Asymptotics.isLittleOTVS_fun_neg_left, deriv_id'', AddCircle.exists_norm_nsmul_le, isEquivalent_choose, Asymptotics.isBigOTVS_iff_smallSets, OrthonormalBasis.coe_ofRepr, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, hasStrictFDerivAt_exp, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, MeasureTheory.Integrable.integral_norm_comp, EuclideanSpace.nnnorm_single, MeasureTheory.MemLp.memLp_liftIoc, ProbabilityTheory.differentiableAt_mgf, ContinuousLinearMap.opNorm_mul_apply, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, deriv_const_mul_field', NormedSpace.inclusionInDoubleDualWeak_apply_apply, RCLike.conjLIE_apply, deriv_fun_div, HasFDerivWithinAt.fun_smul, Complex.orthonormalBasisOneI_repr_apply, Unitary.expUnitary_eq_mul_inv, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_eq, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, Complex.differentiable_exp, NormedAlgebra.exists_isMinOn_norm_sub_smul, Polynomial.toAddCircle.integrable, HasDerivAtFilter.iterate, RCLike.imLm_coe, Real.differentiable_cos, MeasureTheory.MemLp.neg_part, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, continuousOn_cfcₙ, infEDist_smul₀, isAddFundamentalDomain_Ioc, Asymptotics.IsBigOTVS.fun_add, norm_cauchyPowerSeries_le, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, ContinuousLinearMap.lsmul_flip_inj, intervalIntegral.integrableOn_Ioo_rpow_iff, Asymptotics.isEquivalent_nat_ceil, DoubleCentralizer.neg_snd, summable_jacobiTheta₂_term_fderiv_iff, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, AddCircle.norm_coe_mul, Asymptotics.isBigOTVS_fun_neg_left, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, Matrix.linfty_opNNNorm_toMatrix, Asymptotics.isBigOTVS_fun_neg_right, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, hasDerivAt_abs_rpow, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, signedDist_eq_zero_of_orthogonal, hasSum_fourier_series_L2, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, ZSpan.volume_fundamentalDomain, StrictMonoOn.exists_slope_lt_deriv_aux, FormalMultilinearSeries.coeff_eq_zero, ProbabilityTheory.covarianceBilin_zero, RCLike.conjCLE_coe, contDiffOn_stereoToFun, VectorFourier.differentiable_fourierIntegral, HasDerivWithinAt.mul, HasDerivAt.log, LeftInvariantDerivation.evalAt_coe, fderiv_inverse, AddCircle.norm_half_period_eq, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, Differentiable.sin, Real.deriv_Gamma_nat, GaussianFourier.integrable_cexp_neg_mul_sum_add, MeasureTheory.integrable_add_iff_of_nonneg, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, fderiv_pow, ProbabilityTheory.memLp_two_of_variance_ne_zero, Polynomial.differentiable_aeval, DoubleCentralizer.range_toProd, MeasureTheory.eLpNorm_one_le_of_le', Distribution.delta_eq_zero_of_notMem, IsGreatest.nnnorm_cfc, egauge_le_one, Real.fourierIntegral_convergent_iff', hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, hasDerivAtFilter_neg, Asymptotics.IsEquivalent.finsetProd, integrable_rpow_neg_one_add_norm_sq, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, HasStrictDerivAt.clog_real, Bundle.ContMDiffRiemannianMetric.symm, selfAdjoint.nnnorm_pow_two_pow, HilbertBasis.hasSum_repr, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, HasDerivWithinAt.sqrt, Asymptotics.isBigOTVS_iff_isBigO, Real.hasDerivAt_qaryEntropy, innerSL_inj, continuousAt_dslope_same, PositiveLinearMap.preGNS_inner_def, fderivWithin_inv', hasDerivWithinAt_pow, CStarAlgebra.instNonnegSpectrumClassComplexNonUnital, MeasureTheory.Measure.hausdorffMeasure_smul₀, differentiableAt_star_conj_iff, MeasureTheory.lintegral_nnnorm_condExpL2_le, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, DoubleCentralizer.add_fst, AffineSubspace.signedInfDist_eq_signedDist_of_mem, Finset.nnnorm_prod_le', differentiableWithinAt_of_derivWithin_ne_zero, one_mem_posTangentConeAt_iff_mem_closure, quasispectrum.isCompact, Real.integrable_sinc, RealRMK.rieszMeasure_le_of_eq_one, TensorProduct.inner_lid_lid, DifferentiableAt.log, derivWithin_div_const, spectrum.gelfand_formula, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, cfcₙAux_id, HasStrictFDerivAt.cexp, MeasureTheory.Integrable.bdd_mul, NormedSpace.inclusionInDoubleDual_norm_le, not_IntegrableOn_Ici_inv, AnalyticOnNhd.eval_linearMap, Set.OrdConnected.image_derivWithin, LinearIsometry.re_apply_eq_re_of_add_conj_eq, RCLike.rank_le_two, le_egauge_smul_left, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, MeasureTheory.memLp_two_iff_integrable_sq, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, WeakDual.isCompact_closedBall, Affine.Simplex.signedInfDist_apply_self, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, Real.differentiableAt_rpow_of_ne, ProbabilityTheory.integrable_pow_abs_mul_exp_of_mem_interior_integrableExpSet, RCLike.reCLM_coe, ProbabilityTheory.gaussianReal_map_linearMap, InnerProductSpace.toDual_apply, Real.differentiableAt_log, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, CStarAlgebra.norm_posPart_le, OrthonormalBasis.tensorProduct_repr_tmul_apply', Asymptotics.IsLittleOTVS.fst, HasStrictDerivAt.to_local_left_inverse, nnnorm_natAbs, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, DifferentiableAt.inner, HarmonicAt.differentiableAt_complex_partial, NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_single, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, Seminorm.comp_smul, IsGreatest.nnnorm_cfcₙ_nnreal, HasFDerivWithinAt.mul_const, isScalarTower_sphere_sphere_sphere, DifferentiableOn.inv, MeasureTheory.hasFDerivAt_convolution_right_with_param, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_integrable_exp_mul, CStarAlgebra.span_nonneg_inter_unitClosedBall, ProbabilityTheory.IsGaussian.charFun_eq', deriv_neg_left_of_sign_deriv, Real.deriv_inv_log, fderiv_pow', ProbabilityTheory.covarianceBilinDual_eq_covariance, fderiv_mul, signedDist_zero, mellin_convergent_of_isBigO_scalar, Asymptotics.IsLittleO.isLittleOTVS, SchwartzMap.postcompCLM_apply, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, Asymptotics.IsLittleOTVS.neg_left, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, CompactlySupportedContinuousMap.toRealLinearMap_apply, EuclideanSpace.coe_proj, DifferentiableAt.isBigOTVS_sub, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, MeasureTheory.Integrable.integral_norm_prod_left, HasCompactSupport.hasFDerivAt_convolution_right, frontier_range_modelWithCornersEuclideanHalfSpace, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, differentiableAt_inv_iff, AddCircle.instIsUnifLocDoublingMeasureRealVolume, ProbabilityTheory.covarianceBilinDual_zero, HasStrictDerivAt.exp, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, RealRMK.integral_rieszMeasure, LinearMap.deriv, RCLike.nnnorm_nnratCast, CFC.continuous_abs, contDiff_iff_iteratedDeriv, Asymptotics.IsLittleOTVS.pi, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, EuclideanSpace.instIsManifoldSphere, DoubleCentralizer.smul_fst, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, Real.isEquivalent_sin, InnerProductSpace.toDualMap_apply, DifferentiableWithinAt.abs, HasDerivAt.cosh, DifferentiableAt.conj_conj, Real.differentiable_exp, fderivWithin_cos, ProbabilityTheory.differentiableOn_mgf, Real.abs_mulExpNegMulSq_comp_le_norm, Polynomial.derivWithin, nnnorm_algebraMap, fdifferential_apply, nnnorm_pow, Real.hasStrictDerivAt_arcosh, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, coe_ringEquiv_lpBCF, MeasureTheory.Integrable.integral_norm_condExpKernel, egauge_pi, Real.differentiableAt_cos, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, innerₗ_apply, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, Asymptotics.isBigOTVS_congr, Differentiable.fun_pow, ProbabilityTheory.complexMGF_id_mul_I, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, ModularGroup.lcRow0Extend_apply, Matrix.isSymmetric_toEuclideanLin_iff, Asymptotics.isBigOTVS_neg_right, Real.deriv_log', VectorField.lieBracketWithin_smul_left, hasDerivAt_update, nnnorm_apply_le_nnnorm_cfcₙ, Real.one_div_sub_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_condVar, ProbabilityTheory.integral_id_multivariateGaussian, OrthonormalBasis.equiv_apply, ProbabilityTheory.integrable_exp_abs_mul_abs_add, Seminorm.bound_of_continuous, MeasureTheory.integrable_of_le_of_le, DifferentiableOn.log, fderiv_pow_ring, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, ContinuousLinearMap.lsmul_apply, nnnorm_pow_le, StrictMonoOn.exists_deriv_lt_slope_aux, DifferentiableAt.comp_ringHom, selfAdjoint.unitarySelfAddISMul_coe, Bundle.ContMDiffRiemannianMetric.pos, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, Filter.IsIncreasingApproximateUnit.eventually_nnnorm, IsContMDiffRiemannianBundle.exists_contMDiff, deriv_const_mul_field, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', HasDerivWithinAt.arsinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, Real.deriv2_binEntropy, Module.Basis.coe_toOrthonormalBasis_repr_symm, LinearMap.toSeminorm_comp, HasDerivAt.exp, Unitary.mulLeft_trans_mulLeft, Differentiable.inverse, IsometricContinuousFunctionalCalculus.toNonUnital, DifferentiableAt.sqrt, DifferentiableOn.div_const, InnerProductSpace.toDual_apply_apply, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, contMDiff_subtype_coe_Icc, Real.hasDerivAt_arcsin, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, BoundedContinuousFunction.instIsScalarTower_1, fderivWithin_fun_mul', ProperCone.innerDual_singleton, RCLike.nnnorm_ofNat, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eq, differentiable_inner, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, Real.hasDerivAt_tan, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', InnerProductSpace.rankOne_def, Real.deriv_tan_sub_id, AddCircle.volume_closedBall, Real.leftDeriv_mul_log, stereoToFun_apply, deriv_inv, PointwiseConvergenceCLM.equivWeakDual_apply, Real.differentiableAt_Gamma, hasSum_jacobiTheta₂_term_fderiv, HasDerivAt.cos, Polynomial.fderiv_aeval, orthogonalBilin_innerₗ, ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, ConvexOn.real_univ_sSup_of_countable_affine_eq, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, NumberField.mixedEmbedding.mem_span_latticeBasis, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.MemLp.integrable_sq, iteratedDerivWithin_comp_three, Module.Basis.equivFunL_symm_apply_repr, fderiv_mul', OrthonormalBasis.repr_apply_apply, BoundedContinuousFunction.exists_norm_eq_restrict_eq_of_closed, ProbabilityTheory.covarianceBilin_comm, iter_deriv_zpow, HasStrictDerivAt.cosh, MeasureTheory.MemLp.prod', ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, VectorField.lieBracket_fmul_left, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, integrable_cfcₙ, Asymptotics.IsBigOTVS.snd, BoundedContinuousFunction.neg_norm_le_apply, gradient_eq_deriv', QuadraticForm.equivalent_one_zero_neg_one_weighted_sum_squared, ClosedSubmodule.orthogonal_eq_inter, Chebyshev.integrableOn_theta_div_id_mul_log_sq, DifferentiableWithinAt.arctan, PositiveLinearMap.toPreGNS_ofPreGNS, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, MonotoneOn.intervalIntegrable_slope, nndist_left_midpoint, NonUnitalAlgHom.coe_Lmul, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplex, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', SchwartzMap.compCLMOfAntilipschitz_apply, spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius, MeasureTheory.Integrable.fintype_prod_dep, intervalIntegral.integrableOn_Ioo_cpow_iff, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, Real.differentiableOn_Gamma_Ioi, Real.differentiableOn_mul_log, Complex.conjCLE_toLinearEquiv, MeasureTheory.setToFun_smul_left, InformationTheory.klDiv_def, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.Integrable.norm_integral_condKernel, RCLike.abs_wInner_le, contDiff_nat_iff_iteratedDeriv, ConvexOn.slope_le_leftDeriv, MeasureTheory.IntegrableOn.continuousOn_mul_of_subset, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, DifferentiableAt.const_mul, RingHomIsometric.nnnorm_map, ProbabilityTheory.memLp_id_gaussianReal', Asymptotics.IsBigOTVS.fun_symm, fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, ContinuousLinearMapWOT.isInducing_inducingFn, integrableOn_Ioi_deriv_ofReal_cpow, PositiveLinearMap.exists_norm_apply_le, DoubleCentralizer.star_fst, Real.deriv_mulExpNegMulSq, StrongDual.polarSubmodule_eq_polar, ProbabilityTheory.iIndepFun.integrable_exp_mul_sum, IsSelfAdjoint.nnnorm_mul_self, norm_cfcₙ_lt_iff, HasStrictDerivAt.cexp, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top, DifferentiableWithinAt.fun_mul, Asymptotics.isLittleOTVS_fun_neg_right, Complex.isEquivalent_sinh, hasFDerivAt_exp_smul_const', Asymptotics.IsLittleOTVS.triangle, dense_differentiableAt_norm, MeasureTheory.SignedMeasure.re_toComplexMeasure, CStarAlgebra.instNonnegSpectrumClass, FormalMultilinearSeries.ofScalars_norm_le, SchwartzMap.postcompCLM_postcompCLM, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_eq, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, MonotoneOn.intervalIntegral_deriv_mem_uIcc, NumberField.mixedEmbedding.volume_preserving_negAt, Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, Real.deriv_qaryEntropy, InformationTheory.integrable_llr_compProd_iff, Real.deriv_arctan, LinearMap.coe_complexOfReal, monotoneOn_deriv_descPochhammer_eval, SchwartzMap.smulLeftCLM_const, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, HasDerivWithinAt.rpow, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, Differentiable.arctan, Asymptotics.IsBigOTVS.congr_left, LinearMap.toMatrix_innerₛₗ_apply, Asymptotics.IsLittleOTVS.smul_left, PointwiseConvergenceCLM.equivWeakDual_symm_apply, BoundedContinuousFunction.abs_self_eq_nnrealPart_add_nnrealPart_neg, ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, MeasureTheory.ComplexMeasure.integrable_rnDeriv, RCLike.wInner_one_eq_inner, NumberField.mixedEmbedding.negAt_apply_isComplex, ProbabilityTheory.hasFiniteIntegral_compProd_iff', Asymptotics.IsBigOTVS.proj, AffineMap.hasDerivAt, Nonneg.instNonUnitalIsometricContinuousFunctionalCalculus, Complex.differentiableAt_exp, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos', HasStrictDerivAt.fun_finset_prod, Matrix.inner_toEuclideanCLM, hasFDerivWithinAt_pow', ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, not_integrableOn_Ioi_rpow, AffineMap.differentiableAt, isScalarTower_closedBall_ball_ball, Matrix.PosSemidef.toLinearMap₂'_zero_iff, Polynomial.rootSet_derivative_subset_convexHull_rootSet, WeakDual.isSeqCompact_closedBall, HasFDerivAt.cexp, extDerivFun_zero, DoubleCentralizer.add_snd, Asymptotics.IsLittleOTVS.trans_isBigOTVS, WeakDual.isBounded_iff_isVonNBounded, MeasureTheory.Measure.integrable_measure_prodMk_left, has_antideriv_at_fourier_neg, Real.differentiableAt_log_iff, hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, UnitAddTorus.mFourier_norm, CStarModule.norm_inner_le, Matrix.instNonnegSpectrumClass, LinearIsometry.toSpanSingleton_apply, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, innerSLFlip_apply_apply, Continuous.cfcₙ_nnreal, Polynomial.hasFDerivAt, StrictConcaveOn.slope_lt_of_hasDerivAt, signedDist_smul_of_pos, MeasureTheory.BorelCantelli.integrable_process, Distribution.mapCLM_apply, Asymptotics.IsEquivalent.log, finrank_euclideanSpace, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, infEdist_smul₀, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, DoubleCentralizer.norm_snd, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, ConvexOn.sSup_of_nat_affine_eq, NormedField.exists_enorm_lt, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', MeasureTheory.MemLp.integrable_norm_rpow, HasDerivAt.sinh, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, InformationTheory.integrable_llr_of_integrable_llr_compProd, nndist_midpoint_left, DoubleCentralizer.nnnorm_fst, intervalIntegral.integral_hasStrictFDerivAt, fderivWithin_mul_const', NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_apply, signedDist_lineMap_lineMap, Complex.ofRealCLM_apply, MeasureTheory.IntegrableAtFilter.norm, fderivWithin_smul, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, NumberField.Units.regOfFamily_of_isMaxRank, Module.Basis.equivFunL_apply, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, ContinuousAt.cfcₙ_nnreal, inner_map_complex, hasFDerivAt_list_prod_finRange', ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_norm_quasispectrum, tendsto_integral_mul_one_add_inv_smul_sq_pow, MeasureTheory.LocallyIntegrableOn.mul_continuousOn, derivWithin_cos, Asymptotics.IsBigOTVS.trans_isLittleOTVS, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, LinearMap.hasDerivWithinAt, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, CStarMatrix.toCLM_apply_single, Real.fourier_fderiv, ContDiffOn.differentiableOn_iteratedDerivWithin, ContinuousMap.nnnorm_smul_const, ContinuousMap.adjoin_id_eq_span_one_union, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, signedDist_vadd_left_swap, IsSelfAdjoint.spectrumRestricts, MeasureTheory.MemLp.mul, Seminorm.const_isBounded, IsCovariantDerivativeOn.leibniz, MeasureTheory.integrable_prod_iff, SchwartzMap.compSubConstCLM_zero, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, ConvexOn.monotoneOn_deriv, HasFDerivWithinAt.norm_sq, IsUltrametricDist.nnnorm_add_one_le_max_nnnorm_one, ProbabilityTheory.integrable_exp_mul_of_nonpos_of_ge, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableAt_abs_neg, LinearMap.tracePositiveLinearMap_apply, Asymptotics.isLittleOTVS_iff_smallSets, BoundedContinuousFunction.apply_le_norm, hasDerivAt_fourier_neg, DifferentiableWithinAt.div_const, ProbabilityTheory.isGaussian_gaussianReal, derivWithin_const_rpow, norm_fderiv_norm_rpow_le, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, CStarAlgebra.nnnorm_sub_mul_self_le, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, HasFDerivWithinAt.smul_const, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, nndist_midpoint_midpoint_le', Polynomial.Chebyshev.integrable_measureT, SchwartzMap.fourierInv_lineDerivOp_eq, ContinuousMap.norm_sub_eq_max, RCLike.finrank_le_two, NormedSpace.inclusionInDoubleDualWeak_apply, Bundle.RiemannianMetric.symm, MeasureTheory.integral_charFun_Icc, iteratedFDeriv_eq_equiv_comp, linear_isometry_complex, sum_mul_eq_sub_integral_mul₀', deriv_rpow_const, Unitization.norm_eq_sup, instFiniteDimensionalRealComplex, Real.hasDerivAt_cos, DifferentiableAt.inv, Differentiable.sigmoid, Matrix.ofLp_toEuclideanCLM, HasDerivWithinAt.comp_hasDerivAt_of_eq, AffineSubspace.signedInfDist_eq_const_of_mem, ProbabilityTheory.HasSubgaussianMGF.integrable, CStarMatrix.toCLM_apply_eq_sum, DifferentiableWithinAt.inv, deriv_comp, derivWithin_cexp, differentiableOn_pow, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, Filter.Tendsto.cfcₙ, hasDerivAt_exp_smul_const, AddCircle.exists_norm_eq_of_isOfFinAddOrder, Asymptotics.isBigOTVS_neg_left, WithCStarModule.pi_norm, exists_dual_vector, nndist_center_homothety, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, DifferentiableOn.norm_sq, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, fourierCoeff_toLp, DifferentiableAt.fun_pow, Differentiable.norm_rpow, DifferentiableWithinAt.isBigOTVS_sub, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, ProbabilityTheory.variance_continuousLinearMap_gaussianReal, LinearIsometryEquiv.toSpanUnitSingleton_apply, Asymptotics.IsLittleOTVS.congr', derivWithin_mul_const_field, Real.differentiableWithinAt_arcsin_Ici, AddChar.wInner_cWeight_eq_one_iff_eq, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, DifferentiableWithinAt.fun_div, InformationTheory.klDiv_ne_top_iff, fderivWithin_fun_pow, RCLike.sqrt_map, derivWithin_exp, MeasureTheory.integrable_conv_iff, ConvexOn.integrable_apply_rnDeriv_of_integrable_compProd, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, PadicInt.mahlerTerm_one, Polynomial.isEquivalent_atTop_div, Real.hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, deriv.scomp, inr_comp_cfcₙHom_eq_cfcₙAux, rotationOf_rotation, CFC.monotoneOn_one_sub_one_add_inv_real, IsMIntegralCurveAt.hasMFDerivAt, HasFDerivAt.multiset_prod, extDerivFun_add, deriv_neg_right_of_sign_deriv, SpectrumRestricts.real_iff, IsLocalFrameOn.eventually_eq_sum_coeff_smul, Differentiable.mul_const, HasFDerivAt.mul_const, differentiableWithinAt_euclidean, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, DoubleCentralizer.neg_toProd, MeasureTheory.integrable_mul_const_iff, deriv_abs_pos, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg, Matrix.isPositive_toEuclideanLin_iff, derivWithin_rpow_const, ContinuousWithinAt.cfcₙ_nnreal, nnnorm_cfc_le_iff, DifferentiableOn.sinh, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, MeasureTheory.convolution_mono_right_of_nonneg, exists_polynomial_near_continuousMap, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, MeasureTheory.Measure.integrable_compProd_iff, CStarMatrix.ofMatrix_eq_ofMatrixL, HasGradientAt.differentiableAt, Real.differentiableAt_cosh, HasFDerivWithinAt.mul_const', CStarAlgebra.nnnorm_le_one_iff_of_nonneg, HasDerivAt.comp_hasFDerivWithinAt_of_eq, ProbabilityTheory.covarianceBilin_self_nonneg, DifferentiableOn.abs, HasDerivAt.norm_sq, ProbabilityTheory.integral_linearMap_gaussianReal, AddCircle.coe_real_preimage_closedBall_inter_eq, complexOfReal_deriv, fderiv_const_mul, Real.nnnorm_mul_toNNReal, Asymptotics.IsLittleOTVS.sup, CFC.continuousOn_nnrpow, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, Polynomial.hermite_eq_deriv_gaussian', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', fderiv_exp, DoubleCentralizer.algebraMap_snd, Differentiable.log, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, MeasureTheory.integrable_toReal_of_lintegral_ne_top, RCLike.wInner_const_left, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, MeasureTheory.eLpNorm_const_smul_le', RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, MeasureTheory.integrable_smul_const, Orientation.areaForm_comp_linearIsometryEquiv, NormedField.exists_one_lt_nnnorm, hasStrictFDerivAt_norm_sq, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', MeasureTheory.IntegrableOn.mul_continuousOn_of_subset, LinearMap.adjoint_toSpanSingleton, DoubleCentralizer.one_snd, ContDiff.differentiable_iteratedDeriv, Asymptotics.IsBigOTVS.prodMk, ContinuousMultilinearMap.norm_mkPiAlgebra, WeakDual.withSeminorms, Real.deriv_exp, NumberField.canonicalEmbedding.nnnorm_eq, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, fderiv_pow_ring', QuasispectrumRestricts.real_iff, derivWithin_pow_field, deriv_sinh, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, nnnorm_intCast_abs, RCLike.inner_apply, StrictConcaveOn.derivWithin_lt_slope, HasStrictDerivAt.log, NormedField.exists_enorm_lt_one, upperHemicontinuous_quasispectrum, MeasureTheory.MemLp.const_mul', Polynomial.differentiableAt_aeval, DifferentiableAt.cosh, Filter.Tendsto.cfcₙ_nnreal, UpperHalfPlane.volume_eq_lintegral, WeakDual.CharacterSpace.compContinuousMap_apply, HasDerivAt.fun_div, hasDerivAt_id, StrictConvexOn.slope_lt_derivWithin, Real.hasDerivAt_rpow_const, CStarMatrix.toCLM_apply, Real.toNNReal_mul_nnnorm, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, MeasureTheory.Integrable.re_im_iff, deriv_cexp, ConvexOn.slope_le_of_hasDerivWithinAt, Polynomial.isEquivalent_atBot_lead, differentiableAt_norm_smul, fderivWithin.log, deriv_update, MeasureTheory.HasFiniteIntegral.norm, Real.iter_deriv_exp, DifferentiableWithinAt.finset_prod, Real.differentiable_iteratedDeriv_cos, nndist_lineMap_right, edist_smul₀, Polynomial.hasFDerivAt_aeval, Differentiable.norm_sq, DoubleCentralizer.instIsCentralScalar, HasDerivWithinAt.const_mul, exists_dual_vector'', deriv_zpow', RCLike.norm_wInner_le, ProbabilityTheory.IsGaussian.memLp_dual, LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, Module.Dual.extendRCLikeₗ_apply, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, Asymptotics.isLittleOTVS_map, isTheta_deriv_rpow_const_atTop, ProbabilityTheory.covarianceBilinDual_self_nonneg, IccLeftChart_extend_bot, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, hasFDerivAt_pow, HasDerivWithinAt.arctan, Matrix.l2_opNNNorm_def, norm_lt_iff_of_compactlySupported, spectrum.hasDerivAt_resolvent, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, Complex.conjCLE_coe_toLinearMap, hasDerivAt_exp, contDiffOn_succ_iff_deriv_of_isOpen, DifferentiableOn.cos, signedDist_lineMap_left, selfAdjoint.realPart_unitarySelfAddISMul, ProbabilityTheory.covarianceBilin_real_self, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le, deriv_smul, nnnorm_cfcₙ_nnreal_lt_iff, Real.tendsto_rightDeriv_mul_log_atTop, Real.hasStrictDerivAt_arsinh, PositiveLinearMap.gnsStarAlgHom_apply, iter_deriv_pow', Asymptotics.IsBigOTVS.symm, MeasureTheory.Integrable.integral_norm_compProd, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, Asymptotics.isLittleOTVS_iff_isLittleO, integrable_rpow_mul_exp_neg_mul_sq, EuclideanSpace.basisFun_repr, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, MeasureTheory.Integrable.mul_bdd, RCLike.realLinearIsometryEquiv_symm_apply, hasStrictFDerivAt_inv, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, InformationTheory.klDiv_eq_integral_klFun, LinearIsometry.coe_toSpanSingleton, ConcaveOn.le_slope_of_hasDerivWithinAt, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, VectorFourier.fourierSMulRight_apply, deriv_neg'', DoubleCentralizer.pow_toProd, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, CStarAlgebra.mem_Icc_algebraMap_iff_nnnorm_le, MeasureTheory.euclideanHausdorffMeasure_homothety_image, ProbabilityTheory.integrable_exp_mul_of_le_of_le, IsLocalFrameOn.coeff_apply_of_notMem, ProbabilityTheory.evariance_def', Seminorm.closedBall_smul, WithLp.unitization_nnnorm_inr, nnnorm_cfc_nnreal_lt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, BoundedContinuousFunction.nnnorm_sum_eq_sup, fderiv_inv, Complex.orthonormalBasisOneI_repr_symm_apply, MeasureTheory.euclideanHausdorffMeasure_homothety_preimage, NonUnitalStarAlgHom.nnnorm_map, Manifold.riemannianEDist_def, hasDerivAt_circleMap, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, derivWithin_fun_smul, HasFDerivAt.fun_pow', tendsto_sum_mul_atTop_nhds_one_sub_integral₀, isScalarTower_sphere_sphere_closedBall, signedDist_anticomm, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, Units.nnnorm_pos, HasMFDerivWithinAt.mul', UnitAddTorus.hasSum_mFourier_series_L2, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, WithCStarModule.pi_inner, Orientation.areaForm_comp_rightAngleRotation, ContinuousMap.instCStarRing, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, modelWithCornersEuclideanHalfSpace_zero, UnitAddCircle.mem_approxAddOrderOf_iff, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.hausdorffMeasure_homothety_image, HasFDerivWithinAt.hasDerivWithinAt, Real.differentiableAt_arctan, le_egauge_smul_right, ContinuousMultilinearMap.integral_apply, spectralNorm_smul, Asymptotics.isEquivalent_of_tendsto_one, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasGradientWithinAt.fderivWithin_apply, differentiableWithinAt_abs_neg, sum_mul_eq_sub_integral_mul₁, RCLike.complexLinearIsometryEquiv_symm_apply, Real.differentiableOn_negMulLog, WithCStarModule.prod_norm, norm_derivWithin_eq_norm_fderivWithin, Asymptotics.IsEquivalent.pow, differentiableWithinAt_dslope_of_ne, ProbabilityTheory.integrable_exp_mul_gaussianReal, WeakDual.isClosed_closedBall, MeasureTheory.integrable_add_iff_of_nonpos, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, AffineMap.derivWithin, HasDerivAt.arsinh, hasDerivAt_fourier, Asymptotics.IsBigOTVS.congr_right, complexOfReal_fderivWithin, spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius, DoubleCentralizer.zero_fst, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, StrongDual.extendRCLikeₗᵢ_symm_apply, Asymptotics.IsThetaTVS.isBigOTVS, Real.rightDeriv_mul_log, ProbabilityTheory.Kernel.integrable_density, nnnorm_cfc_nnreal_le, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, fdifferential_comp, CStarMatrix.mul_entry_mul_eq_inner_toCLM, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, nnnorm_inner_le_nnnorm, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, ProbabilityTheory.hasFiniteIntegral_comp_iff', HasFDerivAt.smul_const, IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', ContinuousLinearMap.opNorm_mul_le, hasStrictDerivAt_abs_neg, Orientation.inner_rightAngleRotation_left, fderiv_apply_one_eq_deriv, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DifferentiableWithinAt.abs_of_neg, Asymptotics.IsLittleOTVS.comp_tendsto, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, IsUltrametricDist.algNormOfAlgEquiv_apply, nnnorm_cfc_nnreal_le_iff, integrableOn_exp_mul_complex_Iic, DifferentiableWithinAt.cosh, AddCircle.norm_coe_eq_abs_iff, ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mul, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, HasDerivAt.rpow, CStarModule.norm_sq_eq, Asymptotics.IsLittleOTVS.congr, ProbabilityTheory.integrable_pow_of_mem_interior_integrableExpSet, fderivWithin_exp, deriv_inv'', DifferentiableAt.mul_const, deriv_circleMap, ProbabilityTheory.covarianceBilin_apply_pi, cfcₙAux_injective, ProbabilityTheory.exp_neg_integrableOn_Ioc, ProbabilityTheory.deriv_mgf, ZeroAtInftyContinuousMap.instCStarRing, expUnitary_argSelfAdjoint, ContinuousLinearMap.isometry_mul, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, NonUnitalCommCStarAlgebra.toStarModule, MeasureTheory.Integrable.norm_integral_condDistrib_map, OrthonormalBasis.sum_repr_symm, HasFDerivAt.const_mul, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, IsPrimitiveRoot.nnnorm_eq_one, Real.differentiableWithinAt_arcsin_Iic, signedDist_triangle_right, Polynomial.hermite_eq_deriv_gaussian, DoubleCentralizer.sub_toProd, formalMultilinearSeries_geometric_apply_norm, MeasureTheory.Integrable.mul_of_top_left, ProbabilityTheory.hasFiniteIntegral_comp_iff, Complex.conjCLE_nnorm, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, HasStrictDerivAt.complexToReal_fderiv', StrictConcaveOn.strictAntiOn_deriv, contMDiffWithinAt_comp_projIcc_iff, Orientation.inner_mul_areaForm_sub', hasFDerivAt_polarCoord_symm, egauge_ball_one_le_of_one_lt_norm, ConcaveOn.slope_le_derivWithin, DifferentiableAt.of_dslope, DifferentiableOn.fun_inv, differentiableOn_neg, fderivWithin_multiset_prod, HasFDerivAt.mul, Asymptotics.isBigOTVS_pi, LinearMap.continuous_of_nonzero_on_open, MeasureTheory.HasFiniteIntegral.of_mem_Icc, ConvexOn.real_univ_sSup_affine_eq, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, Real.deriv_arcsin, abs_signedDist_eq_dist_iff_vsub_mem_span, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, Unitary.symm_mulRight, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, MeasureTheory.Integrable.const_mul', DoubleCentralizer.nnnorm_fst_eq_snd, AddCircle.closedBall_eq_univ_of_half_period_le, toWeakSpace_closedConvexHull_eq, WithCStarModule.inner_single_right, ConvexOn.monotoneOn_leftDeriv, Unitization.norm_def, linear_isometry_complex_aux, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, selfAdjoint.star_coe_unitarySelfAddISMul, deriv_neg', Orientation.kahler_rotation_left', Real.differentiable_sin, hasFDerivAtFilter_iff_isLittleOTVS, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, MeasureTheory.eLpNorm_const_smul_le, Polynomial.hasDerivWithinAt_aeval, argSelfAdjoint_expUnitary, AkraBazziRecurrence.isEquivalent_one_sub_smoothingFn_one, derivWithin_sin, ProbabilityTheory.integrable_exp_mul_abs_add, rotation_trans, integrableOn_Ioi_rpow_iff, Real.eulerMascheroniConstant_eq_neg_deriv, deriv_const_rpow, Real.not_differentiableAt_inv_log_zero, Orientation.abs_areaForm_le, Real.deriv_mul_log, egauge_le_of_smul_mem, hasStrictFDerivAt_pow', isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, MeasureTheory.Integrable.mul_const', DoubleCentralizer.one_fst, ContinuousLinearMap.norm_extendTo𝕜', integrableOn_rpow_mul_exp_neg_rpow, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, DifferentiableWithinAt.pow, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, Convex.image_derivWithin, Asymptotics.IsLittleOTVS.fun_symm, differentiableAt_iff_comp_const_sub, MeasureTheory.Integrable.integral_norm_condDistrib, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, SchwartzMap.compSubConstCLM_comp, DoubleCentralizer.coeHom_apply, signedDist_neg, ProbabilityTheory.covarianceBilin_apply_basisFun, ProbabilityTheory.IsRatCondKernelCDFAux.integrable, Complex.restrictScalars_toSpanSingleton, integrableOn_exp_mul_Ioi, Orientation.normSq_kahler, ProbabilityTheory.IsCondKernelCDF.integrable, Complex.UnitDisc.mk_neg, hasGradientAt_iff_hasFDerivAt, Asymptotics.IsTheta.isThetaTVS, Asymptotics.isEquivalent_nat_floor, ProbabilityTheory.integrable_of_mem_integrableExpSet, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, HasDerivWithinAt.fun_mul, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', Real.differentiableAt_tan, Real.differentiable_cosh, NumberField.mixedEmbedding.negAt_symm, MeasureTheory.iteratedDeriv_charFun, HasDerivWithinAt.pow', DifferentiableAt.rpow, VectorFourier.contDiff_fourierIntegral, ProbabilityTheory.integrable_exp_abs_mul_abs, ConcaveOn.leftDeriv_le_slope, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, ProbabilityTheory.integrable_compProd_iff, NumberField.finite_of_discr_bdd, Complex.inner, ProbabilityTheory.variance_dual_stdGaussian, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, Asymptotics.IsThetaTVS.symm, fderiv_deriv, WithLp.unitizationAlgEquiv_symm_apply_ofLp, DifferentiableOn.finset_prod, integrableOn_cfcₙ, MeasureTheory.eLpNorm'_const_smul, norm_cfcₙ_le, ConcaveOn.derivWithin_le_slope, Asymptotics.isLittleOTVS_neg_right, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, MeasureTheory.MemLp.norm_rpow_div, Diffeology.isPlot_iff_contDiff, signedDist_vsub_self_rev, coord_norm', Int.Matrix.one_le_norm_A_of_ne_zero, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, MeasureTheory.IntegrableOn.continuousOn_mul, OrthonormalBasis.measurePreserving_repr_symm, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, CFC.IsSelfAdjoint.norm_mul_mul_self_of_nonneg', ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, spec_cfcₙAux, Asymptotics.IsBigOTVS.congr, norm_fderiv_norm, MeasureTheory.measureReal_abs_gt_le_integral_charFun, BoundedContinuousFunction.norm_sub_eq_max, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, EuclideanSpace.piLpCongrLeft_single, HasDerivAt.ofReal_comp, ContinuousOn.cfcₙ_nnreal', hasFDerivAt_exp_smul_const, Differentiable.inner, DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, signedDist_linear_apply, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, Real.hasDerivAt_log, oneTangentSpaceIcc_def, Asymptotics.IsEquivalent.div, integrable_cfcₙ', fderiv_finset_prod, IccRightChart_extend_top_mem_frontier, ConcaveOn.deriv_le_slope, hasStrictFDerivAt_list_prod_attach', rotationOf_coe, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, DoubleCentralizer.sub_fst, Module.Basis.parallelepiped_eq_map, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, nnnorm_cfc_le, DifferentiableAt.differentiableAt_norm_of_smul, MeasureTheory.tendsto_eLpNorm_condExp, iteratedDeriv_comp_two, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, signedDist_self, MeasureTheory.MemLp.norm, Unitization.nnreal_cfcₙ_eq_cfc_inr, isBoundedSMul, ProperCone.dual_flip_dual, RCLike.ofRealCLM_norm, integrable_inv_one_add_sq, HasStrictDerivAt.comp, Complex.sqrt_map, deriv_cos, hasStrictFDerivAt_ringInverse, signedDist_vsub_self, DifferentiableAt.arsinh, ContinuousLinearMap.mul_apply', MeasureTheory.SignedMeasure.rnDeriv_smul, integrable_cfc', ProbabilityTheory.integrable_rpow_abs_of_integrable_exp_mul, Affine.Simplex.exists_forall_signedInfDist_eq_iff_eq_incenter, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, signedDist_smul, MeasureTheory.eLpNorm_mono_ae_real, DifferentiableOn.fun_pow, TemperedDistribution.fourierTransform_apply, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, Real.hasStrictDerivAt_arctan, ProbabilityTheory.charFun_inv_sqrt_mul_sum, HasDerivAtFilter.comp_of_eq, ZLattice.volume_image_eq_volume_div_covolume, StrictConcaveOn.strictAntiOn_derivWithin, Asymptotics.IsBigOTVS.eventually_smallSets, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, Real.map_linearMap_volume_pi_eq_smul_volume_pi, CStarModule.norm_eq_csSup, nnnorm_apply_le_nnnorm_cfc, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, DoubleCentralizer.pow_fst, IsometricContinuousFunctionalCalculus.spectrum_le, nnnorm_pow_le', StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, fderiv_smul_const, Euclidean.closedBall_eq_preimage, Matrix.isHermitian_iff_isSymmetric, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, IsSelfAdjoint.spectralRadius_eq_nnnorm, hasStrictFDerivAt_finset_prod, ProbabilityTheory.memLp_id_gaussianReal, intervalIntegral.differentiable_integral_of_continuous, Matrix.linfty_opNorm_mulVec, deriv_zpow, LipschitzWith.locallyIntegrable_lineDeriv, AddCircle.norm_neg_period, SmoothBumpCovering.embeddingPiTangent_injOn, HasDerivWithinAt.comp_hasFDerivAt, MeasureTheory.memLp_norm_rpow_iff, StrongDual.mem_polarSubmodule, exists_dual_vector', derivWithin_inv', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, Orientation.kahler_rightAngleRotation_left, Asymptotics.isLittleOTVS_comm, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, ConcaveOn.slope_le_of_hasDerivWithinAt, Asymptotics.IsLittleOTVS.snd, MeasureTheory.eLpNorm_const_smul, Unitary.mulLeft_mul_apply, DifferentiableWithinAt.div, Real.hasDerivAt_mulExpNegMulSq, MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, cfcₙHom_real_eq_restrict, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, iteratedFDeriv_smul_const_apply, Real.differentiableOn_arccos, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, IsLocalMin.deriv_eq_zero, Real.hasDerivAt_cosh, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, Real.tendsto_deriv_mul_log_atTop, Orientation.abs_areaForm_of_orthogonal, MeasureTheory.AECover.integrable_of_integral_tendsto_of_nonneg_ae, LipschitzOnWith.ae_differentiableWithinAt_real, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, UnitAddCircle.norm_eq, HasFPowerSeriesAt.deriv, upperHemicontinuous_quasispectrum_nnreal, innerₗ_apply_apply, differentiable_pow, DifferentiableOn.div, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, MeasureTheory.eLpNorm_norm_rpow, StrictConvexOn.lt_slope_of_hasDerivWithinAt, Asymptotics.IsBigOTVS.rfl, CStarAlgebra.conjugate_le_norm_smul', Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, PadicAlgCl.valuation_def, hfdifferential_apply, MeasureTheory.Integrable.inner_const, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, CompactlySupportedContinuousMap.toNNRealLinear_apply, Real.hasDerivAt_fourierChar, bilinFormOfRealInner_orthogonal, ContinuousLinearMap.intervalIntegral_apply, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Differentiable.const_mul, Orientation.kahler_rotation_left, HasDerivWithinAt.inv, nnnorm_cfcₙHom, SchwartzMap.smulLeftCLM_neg, ContinuousLinearMap.opNNNorm_mul, differentiableOn_inverse, Complex.conjCLE_enorm, Real.differentiableWithinAt_arccos_Iic, CFC.nnnorm_rpow, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, ContinuousOn.cfcₙ, derivWithin_comp, MeasureTheory.MemLp.mul_const, CFC.nnrpow_le_nnrpow, Asymptotics.isBigOTVS_fun_comm, mdifferentiableWithinAt_comp_projIcc_iff, HasDerivWithinAt.limsup_slope_le', HasFDerivAt.isThetaTVS_sub, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Orientation.inner_sq_add_areaForm_sq, Real.enorm_exp_I_mul_ofReal_sub_one_le, signedDist_smul_of_neg, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, DoubleCentralizer.algebraMap_fst, differentiableOn_euclidean, RCLike.reLm_coe, ProbabilityTheory.integrable_rpow_mul_exp_of_integrable_exp_mul, nnnorm_fderiv_norm_rpow_le, differentiableAt_abs_pos, Differentiable.exp, TrivSqZeroExt.nnnorm_def, ContinuousLinearMap.adjoint_toSpanSingleton, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, hasStrictFDerivAt_exp_zero_of_radius_pos, ContinuousLinearMap.toBilinForm_injective, integrableOn_exp_neg_Ioi, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, Real.hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, CStarAlgebra.span_nonneg_inter_closedBall, toSpanSingleton_derivWithin, Asymptotics.IsBigOTVS.triangle, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, spectrum.hasFDerivAt_resolvent, MeasureTheory.MemLp.re, RCLike.nnnorm_conj, deriv_comp_of_eq, SchwartzMap.integral_fourier_mul_eq, AkraBazziRecurrence.isEquivalent_smoothingFn_sub_self, apply_le_nnnorm_cfc_nnreal, Unitization.instCStarRing, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, HasDerivAt.comp_hasDerivWithinAt, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, Unitary.toLinearEquiv_mulRight, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.integrable_prod_iff', RCLike.wInner_one_const_right, AlgHom.coe_toContinuousLinearMap, hahnEmbedding_isOrderedModule_rat, ConvexOn.derivWithin_le_slope, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, NumberField.linearDisjoint_of_isGalois_isCoprime_discr, Affine.Simplex.sign_signedInfDist_touchpoint_empty, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, signedDist_vadd_right_swap, ContinuousOn.cfcₙ_of_mem_nhdsSet, HasDerivAt.const_mul, SchwartzMap.integralCLM_apply, linearEquiv_det_rotation, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, Real.differentiable_mulExpNegMulSq, ContinuousMap.neg_norm_le_apply, AddCircle.coe_real_preimage_closedBall_period_zero, HasStrictFDerivAt.hasStrictDerivAt, integrable_of_isBigO_exp_neg, hasFDerivAt_iff_isLittleOTVS, nnnorm_algebraMap', Real.differentiableAt_arccos, ConvexOn.real_univ_sSup_of_nat_affine_eq, fderivWithin_sqrt, Complex.conjCLE_apply, NormedSpace.polar_ball, Valued.integer.exists_nnnorm_lt_one, Real.not_DifferentiableAt_log_mul_zero, innerSLFlip_apply, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, hasDerivAt_const_mul, InnerProductSpace.toContinuousLinearMap_toDualMap, HasFDerivAt.list_prod', MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, MeasureTheory.eLpNorm_one_le_of_le, MeasureTheory.taylorWithinEval_charFun_two_zero, Euclidean.ball_eq_preimage, Polynomial.fderivWithin_aeval, fderiv_sinh, CStarAlgebra.star_left_conjugate_le_norm_smul, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, norm_iteratedFDeriv_prod_le, hasFDerivAt_pow', SchwartzMap.lineDerivOp_fourierInv_eq, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, Polynomial.fderivWithin, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, Matrix.linfty_opNNNorm_mul, Polynomial.hasDerivAt, MeasureTheory.Integrable.ofReal, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, ContinuousLinearMap.opNorm_lsmul_le, OrthonormalBasis.repr_symm_single, MeasureTheory.hasFiniteIntegral_toReal_iff, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, ProbabilityTheory.covarianceBilin_of_not_memLp, InformationTheory.rightDeriv_klFun, interior_range_modelWithCornersEuclideanHalfSpace, WeakDual.CharacterSpace.norm_le_norm_one, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, Matrix.linfty_opNorm_toMatrix, ConvexOn.real_sSup_of_countable_affine_eq, cfcL_integral, AddCircle.addWellApproximable_ae_empty_or_univ, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.hasStrictDerivAt_cos, IntervalIntegrable.intervalIntegrable_slope, MemHolder.nnHolderNorm_smul, iter_deriv_inv, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, Real.not_differentiableAt_rpow_const_zero, hasStrictFDerivAt_exp_zero, integrableOn_Ioi_cpow_of_lt, Differentiable.dist, EulerSine.antideriv_cos_comp_const_mul, ProbabilityTheory.condVar_of_sigmaFinite, ContinuousMap.nnnorm_add_eq_max, instENormSMulClass, MeasureTheory.MemLp.haarAddCircle, Differentiable.sqrt, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, RightDerivMeasurableAux.differentiable_set_eq_D, MeasureTheory.AECover.integrable_of_integral_bounded_of_nonneg_ae, hasDerivWithinAt_zpow, intervalIntegral.integrableOn_deriv_right_of_nonneg, MeasureTheory.HasFiniteIntegral.max_zero, mellin_convergent_iff_norm, Monotone.deriv_nonneg, antilipschitzWith_mul_left, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, Orientation.kahler_mul, derivWithin_fun_finset_prod, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, RCLike.nnnorm_two, ProbabilityTheory.iteratedDeriv_two_cgf, DifferentiableWithinAt.rpow_const, DifferentiableOn.pow, MeasureTheory.Integrable.pos_part, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousLinearMap.opNNNorm_mul_flip_apply, measurableSet_of_differentiableWithinAt_Ioi, HasDerivWithinAt.fun_pow, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, Real.differentiable_iteratedDeriv_sin, ProbabilityTheory.deriv_mgf_zero, MeasureTheory.charFun_eq_charFunDual_toDualMap, egauge_eq_zero_iff, HasMFDerivAt.prod, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sigmoid, exists_ratio_deriv_eq_ratio_slope', ProperCone.dual_dual_flip, flip_innerₗ, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, WeakDual.CharacterSpace.mem_spectrum_iff_exists, intervalIntegral.fderivWithin_integral_of_tendsto_ae, HasDerivAt.mul, MeasureTheory.LocallyIntegrableOn.norm, HasStrictFDerivAt.isBigOTVS_sub, TrivSqZeroExt.nnnorm_inl, DoubleCentralizer.mul_fst, Orientation.volumeForm_robust', BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, Matrix.linfty_opNorm_mul, instSMulCommClass_sphere_ball_ball, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, PiLp.basis_toMatrix_basisFun_mul, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, isBoundedBilinearMap_smul, EulerSine.antideriv_sin_comp_const_mul, DifferentiableOn.arctan, Asymptotics.IsLittleOTVS.isBigOTVS, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, signedDist_vadd_left, Diffeology.IsPlot.contDiff, ModularGroup.tendsto_lcRow0, Differentiable.fun_finset_prod, ProbabilityTheory.integrable_kernel_prodMk_left, NormedSpace.sInter_polar_eq_closedBall, ProbabilityTheory.deriv_cgf, PositiveLinearMap.ofPreGNS_toPreGNS, Complex.imCLM_coe, isBoundedBilinearMap_inner, DifferentiableOn.cosh, ContinuousLinearMap.opNorm_mul_apply_le, deriv_smul_const, CStarMatrix.normedSpaceCore, intervalIntegral.integral_hasFDerivWithinAt, deriv_pow_field, SmoothBumpCovering.embeddingPiTangent_injective, ProbabilityTheory.memLp_tilted_mul, HasFPowerSeriesAt.hasDerivAt, Int.nnnorm_coe_units, MeasureTheory.MemLp.mul', HasDerivWithinAt.rpow_const, ProbabilityTheory.covarianceBilin_apply, ContinuousLinearMap.isThetaTVS_comp, Polynomial.hasDerivAt_aeval, ediam_smul₀, DifferentiableWithinAt.arsinh, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, AkraBazziRecurrence.isEquivalent_one_add_smoothingFn_one, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', hasDerivAt_gronwallBound, NonUnitalIsometricContinuousFunctionalCalculus.quasispectrum_le, deriv_finset_prod, Orientation.kahler_map, isBigO_deriv_ofReal_cpow_const_atTop, Unitary.mulRight_apply, deriv_div, exists_deriv_eq_slope', Continuous.cfcₙ', hasDerivAt_ofReal_cpow_const, CFC.norm_abs, hasDerivAt_norm_rpow, Real.differentiableAt_tan_of_mem_Ioo, Real.not_continuousAt_deriv_qaryEntropy_zero, NumberField.mixedEmbedding.latticeBasis_apply, HasFDerivAt.hasDerivAt, differentiableWithinAt_inverse, Unitary.mulRight_mul_apply, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, signedDist_apply_linear_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, MeasureTheory.charFun_map_mul_comp, TemperedDistribution.fourierInv_apply, cfcₙAux_mem_range_inr, Ideal.Quotient.norm_mk_lt, DifferentiableOn.inverse, ContinuousMap.adjoin_id_eq_span_one_add, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, ProbabilityTheory.covarianceBilin_map, Unitization.nnnorm_eq_sup, AffineSubspace.signedInfDist_singleton, norm_deriv_eq_norm_fderiv, Seminorm.bound_of_shell_sup, ContinuousMap.apply_le_norm, DoubleCentralizer.zero_toProd, MeasureTheory.AEStronglyMeasurable.integrable_truncation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, SchwartzMap.fderivCLM_fourier_eq, CStarModule.inner_mul_inner_swap_le, HasFDerivWithinAt.isLittleOTVS, Bundle.ContinuousRiemannianMetric.pos, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, Convex.image_deriv, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, Real.deriv_cos, IsCoercive.continuousLinearEquivOfBilin_apply, integrableOn_Ioi_exp_neg_mul_sq_iff, Orientation.volumeForm_zero_neg, BoundedContinuousFunction.nnnorm_coeFn_eq, Real.differentiableAt_binEntropy, VectorField.lieBracketWithin_smul_right, QuadraticForm.equivalent_sign_ne_zero_weighted_sum_squared, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', Orientation.areaForm_map, Real.enorm_rpow_of_nonneg, Asymptotics.isEquivalent_iff_tendsto_one, BoundedContinuousFunction.nnnorm_sub_eq_max, differentiable_neg, hasDerivAt_neg, LinearMap.derivWithin, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, inner_gradientWithin_left, deriv_bernoulliFun, NNReal.nnnorm_eq, det_fderivPiPolarCoordSymm, HasDerivWithinAt.mul_const, Polynomial.hasStrictDerivAt, deriv_const_mul, HasDerivWithinAt.cexp, DilationEquiv.smulTorsor_ratio, Real.deriv2_qaryEntropy, Real.differentiableAt_exp, Real.hasStrictDerivAt_arcsin, ConvexOn.slope_le_of_hasDerivAt, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, CFC.monotone_sqrt, NumberField.mixedEmbedding.commMap_apply_of_isReal, derivWithin_fun_pow, ZSpan.fundamentalDomain_pi_basisFun, AffineMap.hasStrictDerivAt, LipschitzWith.ae_differentiableAt_of_real, InnerProductSpace.toLinearMap_rankOne, VectorField.mpullback_mfderivWithin_apply_smul, Seminorm.finset_sup_smul, MeasureTheory.Measure.integrable_comp_iff, Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real, quasispectrum.isCompact_nnreal, HasMFDerivWithinAt.mul, Bundle.RiemannianMetric.pos, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.MemLp.of_haarAddCircle, HilbertBasis.repr_self, nnnorm_commutator_sub_one_le, CStarAlgebra.instNonnegSpectrumClass', CStarAlgebra.conjugate_le_norm_smul, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', Seminorm.isBounded_sup, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, ContinuousAt.cfcₙ, MeasureTheory.integrable_norm_pow_of_le, DoubleCentralizer.norm_fst, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, BoundedContinuousFunction.coe_toContinuousMapₐ, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, DifferentiableAt.abs, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, BoundedContinuousFunction.add_norm_nonneg, MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt, Complex.equivRealProdCLM_symm_apply_re, DifferentiableOn.cexp, HasFDerivAtFilter.isLittleOTVS, iteratedDerivWithin_eq_equiv_comp, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, MeasureTheory.hasFiniteIntegral_prod_iff, nnnorm_cfcₙ_le_iff, IsUltrametricDist.nnnorm_intCast_le_one, MeasureTheory.charFun_map_mul, DifferentiableAt.cos, MeasureTheory.integrable_llr_tilted_right, LinearIsometry.im_apply_eq_im, DoubleCentralizer.coe_fst, HasStrictFDerivAt.fun_smul, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, CompactlySupportedContinuousMap.toReal_smul, fderiv_fun_mul, Orientation.inner_rightAngleRotationAux₁_right, hasFDerivAt_pi_polarCoord_symm, norm_cfcₙ_one_sub_one_add_inv_lt_one, BoundedContinuousFunction.norm_sub_nonneg, NumberField.mixedEmbedding.latticeBasis_repr_apply, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.MemLp.im, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, HasFDerivAt.pow', continuousOn_cfcₙ_nnreal, DifferentiableWithinAt.norm_sq, HasStrictFDerivAt.pow', ContinuousMapZero.instCStarRing, SchwartzMap.integral_fourierInv_mul_eq, Asymptotics.IsEquivalent.inv, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', ConvexOn.deriv_le_slope, ProbabilityTheory.integrable_pow_abs_mul_exp_of_integrable_exp_mul, IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus, signedDist_right_lineMap, ConvexOn.rightDeriv_le_slope, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, HasDerivAt.div_const, Matrix.toEuclideanLin_apply_piLp_toLp, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, Real.differentiable_fourierChar, hasFDerivAt_integral_of_dominated_of_fderiv_le, VectorFourier.fourierPowSMulRight_apply, HasFDerivWithinAt.smul, OrthonormalBasis.norm_dual, DifferentiableOn.sin, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, spectrum.spectralRadius_le_nnnorm, Real.deriv_cos', isBigO_deriv_rpow_const_atTop, hasDerivAt_pow, contDiff_succ_iff_deriv, WithCStarModule.inner_single_left, DifferentiableOn.dist, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, Real.deriv_rpow_const', StrictConcaveOn.lt_slope_of_hasDerivWithinAt, integrableOn_mul_sum_Icc, MeasureTheory.Integrable.mul_const, NumberField.mixedEmbedding.normAtPlace_negAt, Orthonormal.orthogonalFamily, Real.differentiableAt_arcosh, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, contDiffOn_succ_iff_derivWithin, IsLocalMaxOn.fderivWithin_eq_zero, AlternatingMap.measure_def, MeasureTheory.Integrable.of_mem_Icc, nnnormHom_apply, Seminorm.bound_of_shell_smul, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, LinearMap.isSymmetric_iff_sesqForm, hasDerivWithinAt_derivWithin_iff, hasStrictDerivAt_exp, HasStrictFDerivAt.mul_const', HasDerivAt.div, Complex.isometryOfOrthonormal_apply, HasDerivWithinAt.pow, Complex.sameRay_iff, MeasureTheory.eLpNorm'_const_smul_le, AddCircle.norm_le_half_period, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, Orientation.areaForm_map_complex, DifferentiableOn.rpow_const, Polynomial.deriv, Int.nnnorm_natCast, Real.hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, NumberField.mixedEmbedding.finrank, SchwartzMap.integral_fourier_smul_eq, Real.iter_deriv_rpow_const, AffineMap.differentiableOn, Complex.imCLM_nnnorm, differentiableAt_pow, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, Polynomial.hasFDerivWithinAt_aeval, Orientation.inner_rightAngleRotation_right, continuousOn_cfcₙ_setProd, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, Differentiable.div_const, fderiv_sqrt, ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_pow, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, Asymptotics.isThetaTVS_comm, hasStrictDerivAt_inv, RCLike.wInner_one_const_left, fderivWithin_list_prod', ProbabilityTheory.HasSubgaussianMGF.memLp, LinearMap.continuous_of_isClosed_ker, Unitization.complex_cfcₙ_eq_cfc_inr, Complex.sameRay_iff_arg_div_eq_zero, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Orientation.volumeForm_apply_le, HasDerivAt.iterate, differentiableAt_iff_comp_add_const, MeasureTheory.lintegral_enorm_le_liminf_of_tendsto, HasFDerivWithinAt.fun_mul', BoundedContinuousFunction.toContinuousMapₐ_apply, fderivWithin_smul_const, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, RCLike.nnnorm_nnqsmul, nnnorm_commutator_units_sub_one_le, ProbabilityTheory.Kernel.eLpNorm_density_le, CStarAlgebra.norm_negPart_le, ProbabilityTheory.IndepFun.integrable_right_of_integrable_mul, NumberField.mixedEmbedding.negAt_apply_norm_isReal, innerₛₗ_apply, deriv_inner_apply, HasFDerivWithinAt.isBigOTVS_sub, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, hasStrictFDerivAt_list_prod, UnitAddCircle.mem_addWellApproximable_iff, div_le_egauge_ball, StrongDual.toLp_apply, IsUltrametricDist.nnnorm_natCast_le_one, MeasureTheory.Integrable.div_const, Asymptotics.IsThetaTVS.trans, unitary.expUnitary_eq_mul_inv, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, DifferentiableWithinAt.fun_finset_prod, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, Real.deriv_fourierChar, OrthonormalBasis.sum_repr, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, contDiff_infty_iff_deriv, PositiveLinearMap.norm_apply_le_of_nonneg, Asymptotics.IsLittleOTVS.mono, fderivWithin_pow_ring', LinearMap.toSeminorm_ball_zero, Complex.nnnorm_intCast, Real.differentiableAt_negMulLog, DifferentiableAt.cexp, iter_deriv_inv_linear_sub, Orientation.kahler_apply_apply, RCLike.imCLM_coe, NonUnitalCStarAlgebra.toIsScalarTower, Orientation.inner_rightAngleRotationAux₁_left, Asymptotics.IsThetaTVS.trans_isLittleOTVS, CStarRing.to_normedStarGroup, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, Asymptotics.IsBigOTVS.trans_isThetaTVS, DifferentiableOn.const_mul, exists_embedding_euclidean_of_compact, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, Unitary.symm_mulLeft, HasDerivAt.inner, MeasureTheory.Integrable.fintype_prod, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', Orientation.areaForm_apply_self, CFC.sqrt_le_sqrt, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, StrictConvexOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.Integrable.real_toNNReal, ProbabilityTheory.hasFiniteIntegral_compProd_iff, DoubleCentralizer.natCast_toProd, Real.differentiable_fourierChar_neg_bilinear_right, Complex.conjCLE_norm, ProbabilityTheory.variance_linearMap_gaussianReal, Asymptotics.IsLittleOTVS.trans, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, MeasureTheory.SignedMeasure.integrable_rnDeriv, nnnorm_sub_mul_le, ConvexOn.monotoneOn_derivWithin, AffineSubspace.signedInfDist_def, isScalarTower_sphere_ball_ball, MeasureTheory.HasFiniteIntegral.const_mul, NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply, ConcaveOn.slope_le_rightDeriv, MeasureTheory.BoundedContinuousFunction.inner_toLp, exists_extension_norm_eq, MeasureTheory.taylorWithinEval_charFun_two_zero', CStarModule.continuous_inner, ProbabilityTheory.integrable_exp_mul_of_le, HasFDerivWithinAt.fun_pow', ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, hasStrictDerivAt_exp_zero_of_radius_pos, differentiableAt_conj_conj_iff, NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, integrable_cfc, MeasureTheory.convolution_mono_right, signedDist_lineMap_right, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, ProbabilityTheory.integral_id_multivariateGaussian', DoubleCentralizer.one_toProd, AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Complex.imCLM_enorm, StarAlgEquiv.nnnorm_map, SchwartzMap.tsupport_derivCLM_subset, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, det_rotation, RCLike.enorm_conj, PadicInt.norm_mahler_eq, nnnorm_cfc_nnreal_lt_iff, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, hasStrictDerivAt_exp_of_mem_ball, complexOfReal_fderiv, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, fderivWithin_mul_const, Unitary.symm_mulRight_apply, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, BoundedContinuousFunction.norm_normComp, AlternatingMap.measure_parallelepiped, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_finset_prod, derivWithin_div, NonUnitalCommCStarAlgebra.toSMulCommClass, HasFDerivAt.mul_const', norm_cfcHom, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, norm_commutator_units_sub_one_le, DifferentiableOn.mul_const, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, Affine.Simplex.signedInfDist_affineCombination, tendsto_sum_mul_atTop_nhds_one_sub_integral, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, Polynomial.differentiableWithinAt_aeval, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, signedDist_apply, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, MeasureTheory.integrable_right_of_integrable_add_of_nonneg, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', AddCircle.norm_eq, le_egauge_ball_one, spectrum.le_nnnorm_of_mem, not_integrableOn_Ici_inv, DoubleCentralizer.natCast_snd, Matrix.l2_opNNNorm_diagonal, Int.toNat_add_toNat_neg_eq_nnnorm, spectrum.exists_nnnorm_eq_spectralRadius, HasFDerivAt.hasGradientAt, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, Real.differentiableAt_sinh, ContinuousLinearMap.isBigOTVS_fun_comp, NormedField.denselyOrdered_range_nnnorm, signedDist_eq_dist_iff_vsub_mem_span, Real.differentiable_iteratedDeriv_sinh, le_egauge_of_forall_ne_zero, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, exp_neg_integrableOn_Ioi, MeasureTheory.Integrable.const_inner, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, rotation_symm, CompletelyPositiveMap.map_cstarMatrix_nonneg', fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, deriv_pos_left_of_sign_deriv, Complex.equivRealProdCLM_symm_apply_im, AddChar.linearIndependent, coe_ringEquiv_lpBCF_symm, integrable_exp_neg_mul_sq_iff, nndist_homothety_center, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, Real.hasFDerivAt_fourierChar_neg_bilinear_right, DifferentiableWithinAt.cexp, Unitization.splitMul_injective, ProbabilityTheory.IndepFun.integrable_exp_mul_add, MeasureTheory.eLpNorm'_const_smul_le', Polynomial.cauchyBound_X_add_C, Antitone.deriv_nonpos, Unitary.mulLeft_apply, CStarAlgebra.inr_mem_Icc_iff_nnnorm_le, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, MeasureTheory.Lp.smul_assoc, differentiable_tsum', DoubleCentralizer.sub_snd, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral, MonotoneOn.nnnorm_cfc, norm_iteratedFDerivWithin_mul_le, VectorFourier.norm_fourierSMulRight, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, Polynomial.differentiable, BoundedContinuousFunction.norm_add_eq_max, ContinuousLinearEquiv.coord_norm', deriv_fun_pow, GaussianFourier.integrable_cexp_neg_sum_mul_add, HasDerivAt.fun_inv, ProbabilityTheory.integrable_pow_mul_exp_of_mem_interior_integrableExpSet, DifferentiableAt.div_const, differentiableOn_abs, WithCStarModule.pi_norm_sq, ProbabilityTheory.hasDerivAt_mgf, HasFPowerSeriesAt.eq_zero_of_eventually, cfcₙ_setIntegral', div_le_egauge_closedBall, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, ProbabilityTheory.integrable_toReal_condDistrib, ContinuousOn.cfcₙ_nnreal, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, SchwartzMap.smulLeftCLM_sub, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, MeasureTheory.integrable_toReal_iff, derivWithin_id, Differentiable.mul, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zero, SchwartzMap.fourier_fderivCLM_eq, exists_deriv_eq_slope, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, hasStrictFDerivAt_exp_smul_const, integrableOn_rpow_mul_exp_neg_mul_sq, Complex.hasStrictFDerivAt_log_real, Asymptotics.isBigOTVS_map, derivWithin_mul, Real.hasStrictDerivAt_tan, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, RCLike.wInner_cWeight_const_right, SimpleGraph.isEquivalent_extremalNumber, MeasureTheory.integrable_norm_rpow_of_le, Real.nnnorm_rpow_of_nonneg, HasStrictFDerivAt.mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_fderiv_expMapBasis, iter_deriv_inv_linear, ProbabilityTheory.deriv_cgf_zero, Asymptotics.IsBigOTVS.neg_left, DifferentiableOn.exp, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, DifferentiableAt.norm, Real.differentiable_fourierChar_neg_bilinear_left, MeasureTheory.integrable_left_of_integrable_add_of_nonneg, DifferentiableOn.fun_div, fderiv_norm_smul_pos, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, Real.hasDerivAt_arctan, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_expMap_symm, Finset.nnnorm_prod_le, WithLp.unitization_mul, hasDerivAt_exp_smul_const', DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, HasStrictDerivAt.finset_prod, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, EuclideanSpace.nnnorm_eq, CStarAlgebra.star_right_conjugate_le_norm_smul, norm_apply_le_norm_cfcₙ, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, iteratedDerivWithin_scomp_two, RCLike.nnnorm_natCast, Unitary.symm_mulLeft_apply, MeasureTheory.HasFiniteIntegral.min_zero, Asymptotics.IsLittleOTVS.congr_right, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.reCLM_norm, ContinuousMap.norm_smul_const, range_modelWithCornersEuclideanHalfSpace, ContinuousMapZero.toNNReal_neg_smul, ProbabilityTheory.integrable_pow_abs_mul_exp_add_of_integrable_exp_mul, AddChar.wInner_cWeight_eq_boole, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, CStarRing.nnnorm_self_mul_star, differentiableAt_of_deriv_ne_zero, MeasureTheory.exists_upperSemicontinuous_le_integral_le, EuclideanSpace.restrict₂_apply, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, Polynomial.cauchyBound_X_sub_C, DoubleCentralizer.intCast_fst, LinearMap.toSeminormFamily_apply, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, MeasureTheory.integrable_llr_tilted_left, sum_mul_eq_sub_integral_mul, TemperedDistribution.fourier_apply, deriv_sin, nnnorm_cfcHom, Module.Basis.opNNNorm_le, integrableOn_cfc, Orientation.areaForm_rightAngleRotation_right, enorm_pow, Real.deriv_arcsin_aux, WeakDual.CharacterSpace.equivAlgHom_symm_coe, IsLocalMin.fderiv_eq_zero, ProbabilityTheory.IndepFun.integrable_mul, HasDerivAtFilter.comp, ContinuousLinearMap.coe_complexOfReal, CStarAlgebra.nnnorm_le_nnnorm_of_nonneg_of_le, HasFDerivWithinAt.finset_prod, hasStrictFDerivAt_list_prod', Real.differentiableAt_qaryEntropy, DifferentiableAt.exp, Affine.Simplex.exists_forall_signedInfDist_eq_iff_excenterExists_and_eq_excenter, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, Complex.integral_boundary_rect_of_differentiableOn_real, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, Asymptotics.IsEquivalent.listProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, HasStrictFDerivAt.smul_const, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, Real.differentiable_arsinh, SchwartzMap.smulLeftCLM_ofReal, norm_iteratedFDeriv_smul_le, Orientation.oangle_map_complex, integrable_exp_neg_mul_sq, ContinuousLinearEquiv.coord_norm, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, HasDerivAt.finset_prod, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, HasStrictDerivAt.cos, ProbabilityTheory.integrable_rpow_of_integrable_exp_mul, LinearPMap.mem_adjoint_domain_iff, spectrum.hasDerivAt_resolvent_const_right, differentiableWithinAt_zpow, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, CircleIntegrable.out, nnnorm_prod, AddCircle.closedBall_ae_eq_ball, contDiffOn_infty_iff_deriv_of_isOpen, SchwartzMap.integrable_pow_mul, fderivWithin_pow, MeasureTheory.memLp_of_bounded, ContinuousMultilinearMap.norm_smulRight, hasFDerivAt_exp_zero_of_radius_pos, CStarAlgebra.span_nonneg_inter_ball, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, StrictMonoOn.exists_slope_lt_deriv, ContinuousLinearMap.hasDerivWithinAt, MeasureTheory.Submartingale.memLp_limitProcess, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, NormedSpace.polar_closedBall, PadicComplex.nnnorm_extends', HasDerivAt.conj_conj, ContinuousMapZero.toNNReal_smul, Unitary.toLinearEquiv_mulLeft, integrable_mulExpNegMulSq_comp, integrable_cexp_quadratic, AffineSubspace.signedInfDist_apply_self, Asymptotics.IsLittleOTVS.add, ContinuousLinearMap.opNorm_lsmul, deriv_pos_right_of_sign_deriv, coe_innerₛₗ_apply, ProbabilityTheory.covarianceBilinDual_of_not_memLp, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, fderivWithin_arctan, isScalarTower_closedBall_closedBall_ball, StrictMonoOn.exists_deriv_lt_slope, HasGradientAt.hasDerivAt, ModularGroup.lcRow0_apply, hasDerivAt_exp_zero, deriv_circleMap_eq_zero_iff, Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, DifferentiableAt.pow, MeasureTheory.integrable_withDensity_iff, InnerProductSpace.continuousLinearMapOfBilin_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, NormedSpace.double_dual_bound, HasDerivAt.comp_ringHom, NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, PeriodPair.indep, Module.Basis.opNorm_le, ContMDiff.codRestrict_sphere, Real.differentiable_rpow_const, ProbabilityTheory.integrable_exp_mul_of_mem_Icc, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, SchwartzMap.smulLeftCLM_apply, MeasureTheory.Integrable.norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, SchwartzMap.tsum_eq_tsum_fourierIntegral, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, AddCircle.norm_eq', MeasureTheory.Measure.euclideanHausdorffMeasure_smul₀, ProbabilityTheory.integrable_pow_of_integrable_exp_mul, WeakDual.seminormFamily_apply, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, Quaternion.linearIsometryEquivTuple_apply, MeasureTheory.intervalIntegrable_charFun, fderiv_cosh, DifferentiableWithinAt.fun_inv, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, HasStrictFDerivAt.fun_mul, hasFDerivWithinAt_pow, Asymptotics.IsLittleOTVS.fun_add, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, NormedField.valuation_apply, hasFDerivWithinAt_iff_isLittleOTVS, hasDerivWithinAt_inv, Asymptotics.isBigOTVS_prodMk_left, hasStrictDerivAt_id, cfcₙL_integrable, HasFDerivWithinAt.mul', instNonemptySeedRatReal, HasGradientAt.fderiv_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, Differentiable.rpow_const, TemperedDistribution.derivCLM_apply_apply, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, DifferentiableAt.fun_mul, abs_signedDist_le_dist, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, mfderiv_subtype_coe_Icc_one, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, Real.hasStrictFDerivAt_rpow_of_neg, LinearMap.hasDerivAt, CFC.norm_mul_mul_star_self_of_nonneg, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, WithLp.unitizationAlgEquiv_apply, Real.hasStrictDerivAt_rpow_const, deriv_mul, egauge_smul_right, VectorField.lieBracket_smul_right, LinearMap.hasDerivAtFilter, intervalIntegral.integral_hasFDerivAt, MeasureTheory.memLp_norm_iff, differentiableAt_inv, deriv_pow', integrable_mul_cexp_neg_mul_sq, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, ProbabilityTheory.HasCondSubgaussianMGF.integrable_exp_mul, Complex.GammaIntegral_convergent, MeasureTheory.hausdorffMeasure_homothety_preimage, DifferentiableAt.arctan, HasFPowerSeriesAt.locally_zero_iff, norm_sub_mul_le, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, inner_gradient_left, DifferentiableWithinAt.mul_const, Asymptotics.IsEquivalent.rpow, ConvexOn.exists_affine_le_of_lt, ProbabilityTheory.IsGaussian.charFunDual_eq', norm_lt_iff_of_nonempty_compactlySupported, HasDerivWithinAt.comp_hasDerivAt, RealRMK.le_rieszMeasure_tsupport_subset, innerSL_apply_coe, AffineSubspace.signedInfDist_apply_of_mem, hasDerivAt_exp_of_mem_ball, fderivWithin_mul', hasStrictDerivAt_exp_smul_const_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Real.hasDerivAt_Gamma_nat, HasStrictFDerivAt.inner, CStarAlgebra.instNonnegSpectrumClassComplexUnital, nndist_right_midpoint, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, differentiableAt_abs, derivWithin_fun_inv', ConvexOn.real_sSup_of_nat_affine_eq, hasFDerivAt_inv', ProbabilityTheory.IsRatCondKernelCDF.integrable, HasDerivAt.fun_mul, Ideal.Quotient.norm_mk_le, ProbabilityTheory.charFun_gaussianReal, WeakDual.CharacterSpace.exists_apply_eq_zero, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, derivWithin_sinh, Real.not_continuousAt_deriv_qaryEntropy_one, differentiableAt_dslope_of_ne, DifferentiableOn.norm, Complex.map_isometryOfOrthonormal, nnnorm_sub_mul_le', quasispectrum.instCompactSpaceNNReal, hasDerivAt_zpow, TemperedDistribution.fourierTransformInv_apply, HasDerivAt.sin, WeakDual.CharacterSpace.compContinuousMap_id, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, Asymptotics.IsBigOTVS.mono, ProbabilityTheory.integrable_cauchyPDFReal, Asymptotics.IsLittleOTVS.proj, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, MeasureTheory.MemLp.integrable_norm_pow', differentiableAt_inverse, Matrix.l2_opNorm_def, Asymptotics.IsBigOTVS.trans, signedDist_apply_linear, MeasureTheory.IntegrableOn.mul_continuousOn, Real.differentiableAt_sin, RCLike.wInner_nonneg, Matrix.toEuclideanLin_toLp, Bundle.RiemannianMetric.continuousAt, StrictConcaveOn.leftDeriv_lt_slope, nnnorm_cfcₙ_le, parallelepiped_orthonormalBasis_one_dim, Complex.reCLM_enorm, MeasureTheory.integrable_mconv_iff, Asymptotics.isLittleOTVS_insert, Real.hasDerivAt_sinh, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, Real.deriv_log_comp_eq_logDeriv, norm_innerSL_le, MeasureTheory.eLpNorm'_norm_rpow, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, integrable_cexp_quadratic', Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, InformationTheory.not_differentiableAt_klFun_zero, Real.deriv_cosh, PeriodPair.lattice_eq_span_range_basis, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, Real.exists_extension_norm_eq, nnnorm_cfcₙ_nnreal_le, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sin, AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, DifferentiableWithinAt.sinh, DifferentiableOn.arsinh, contDiffOn_infty_iff_derivWithin, SchwartzMap.integral_smul_deriv_right_eq_neg_left, nnnorm_mul_le_of_le, apply_le_nnnorm_cfcₙ_nnreal, ProbabilityTheory.covarianceBilinDual_of_not_memLp', PadicComplex.nnnorm_extends, enorm_inv, fderiv_list_prod', SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', UnitAddTorus.span_mFourierLp_closure_eq_top, AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.Integrable.integral_norm_condKernel, Complex.nnnorm_eq_one_of_pow_eq_one, contDiffOn_iff_continuousOn_differentiableOn_deriv, HasMFDerivAt.mul', nnnorm_zpow, ProbabilityTheory.integrable_gaussianPDFReal, Asymptotics.IsBigOTVS.refl, DifferentiableWithinAt.exp, expNegInvGlue.differentiable_polynomial_eval_inv_mul, continuousOn_cfcₙ_nnreal_setProd, cfcHom_eq_of_isStarNormal, spectrum.spectralRadius_le_pow_nnnorm_pow_one_div, eHolderNorm_smul, HasGradientWithinAt.hasFDerivWithinAt, DifferentiableWithinAt.rpow, hasFDerivAt_exp, Differentiable.rpow, Orientation.volumeForm_comp_linearIsometryEquiv, Pi.orthonormalBasis_repr, deriv_mul_const_field', Polynomial.hasDerivWithinAt, differentiableAt_iff_comp_sub_const, complexOfReal_derivWithin, CFC.norm_sqrt, norm_fderiv_norm_id_rpow, ContinuousLinearMap.isBigOTVS_id, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, NumberField.Units.basisOfIsMaxRank_fundSystem, LinearMap.isAdjointPair_inner, HasDerivWithinAt.log, NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, WithLp.unitization_nnnorm_def, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, Asymptotics.IsBigOTVS.fst, Affine.Simplex.signedInfDist_apply_of_ne, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, signedDist_left_lineMap, hasFDerivAt_inv, Real.deriv_mul_log_zero, DifferentiableWithinAt.inner, NumberField.mixedEmbedding.norm_negAt, DoubleCentralizer.toProdHom_apply, Differentiable.inv, DoubleCentralizer.mul_snd, MonotoneOn.nnnorm_cfcₙ, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, IccRightChart_extend_top, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, HasFDerivAt.fun_mul', Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, Asymptotics.IsBigO.isBigOTVS, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, ConcaveOn.slope_le_deriv, WithCStarModule.prod_inner, measurableSet_of_differentiableWithinAt_Ici, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, ContinuousLinearMap.opNNNorm_mul_apply, fderivInnerCLM_apply, one_le_nnnorm_one, ConvexOn.sSup_affine_eq, unitary.mem_pathComponentOne_iff, ContinuousMap.nnnorm_sum_eq_sup, nndist_self_homothety, boundary_Icc, derivWithin_smul_const, deriv_sqrt_mul_log', Asymptotics.IsLittleOTVS.of_tendsto_div, LinearIsometry.re_apply_eq_re, Asymptotics.isLittleOTVS_sup, Real.differentiableAt_binEntropy_iff_ne_zero_one, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, derivWithin_const_mul_field, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, CFC.nnnorm_nnrpow, SchwartzMap.integrable_pow_mul_iteratedFDeriv, Real.fderiv_fourierChar_neg_bilinear_left_apply, Real.deriv_tan, ConcaveOn.antitoneOn_deriv, isConformalMap_iff_is_complex_or_conj_linear, Asymptotics.isEquivalent_of_tendsto_one', RCLike.span_one_I, egauge_zero_right, Asymptotics.isThetaTVS_iff_isTheta, Real.exists_measure_rpow_eq_integral, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, Real.fourierIntegral_continuousMultilinearMap_apply', HasGradientAtFilter.hasDerivAtFilter, AddCircle.norm_eq_of_zero, BoundedContinuousFunction.self_eq_nnrealPart_sub_nnrealPart_neg, MeasureTheory.eLpNorm_conj, UpperHalfPlane.hasStrictFDerivAt_smul, inner_gradient_right, hasDerivAt_exp_smul_const_of_mem_ball, ProbabilityTheory.integrable_comp_iff, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, NonUnitalCStarAlgebra.toSMulCommClass, UpperHalfPlane.det_smulFDeriv, CStarRing.nnnorm_star_mul_self, HasFDerivAt.mul', DoubleCentralizer.intCast_toProd, Matrix.PosDef.posDef_sqrt, integrable_cexp_neg_mul_sq, Differentiable.cos, norm_cfcₙ_le_iff, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, differentiableAt_comp_sub_const, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, finrank_euclideanSpace_fin, ConcaveOn.le_slope_of_hasDerivAt, Real.hasStrictDerivAt_exp, continuousFunctionalCalculus_map_id, CFC.norm_nnrpow, coe_algEquiv_lpBCF, CStarAlgebra.nnnorm_le_natCast_iff_of_nonneg, le_egauge_closedBall_one, hasFDerivAt_list_prod_attach', Complex.conjLIE_toCLE, InformationTheory.deriv_klFun, boundary_product, differentiable_sigmoid, LinearMap.mem_span_iff_continuous, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, NormedField.exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, OrthonormalBasis.repr_reindex, DifferentiableAt.abs_of_pos, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, ConvexOn.real_sSup_affine_eq, InnerProductSpace.symm_toEuclideanLin_rankOne, FormalMultilinearSeries.ofScalars_norm_eq_mul, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, AnalyticOnNhd.eval_continuousLinearMap, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, MeasureTheory.memLp_re_im_iff, ContinuousLinearMap.adjoint_innerSL_apply, HasDerivAt.of_local_left_inverse, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, Asymptotics.isLittleOTVS_pi, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, CStarAlgebra.span_unitary, DifferentiableOn.of_dslope, HasDerivWithinAt.iterate, integrable_of_le_of_pow_mul_le, nndist_homothety_self, DifferentiableAt.abs_of_neg, fderivWithin_fun_mul, Differentiable.div, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, le_iff_norm_sqrt_mul_rpow, DoubleCentralizer.smul_snd, deriv_div_const, Complex.det_conjLIE, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, SpectrumRestricts.nnreal_iff_nnnorm, RCLike.realLinearIsometryEquiv_apply, derivWithin.log, Orientation.rightAngleRotation_map_complex, ProbabilityTheory.mgf_pos_iff, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_ne, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, ContinuousLinearMap.norm_smulRightL_apply, CStarAlgebra.le_nnnorm_of_mem_quasispectrum, Asymptotics.IsThetaTVS.rfl, Orientation.areaForm_rightAngleRotation_left, HasFDerivAt.smul, Differentiable.norm, CStarAlgebra.exists_sum_four_nonneg, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, NumberField.mixedEmbedding.disjoint_negAt_plusPart, DifferentiableWithinAt.of_dslope, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, DifferentiableAt.dist, contDiff_euclidean, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, RCLike.imCLM_apply, fderiv_sin, hasStrictDerivAt_pow, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, derivWithin_mem_iff, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, PositiveLinearMap.preGNS_norm_sq, ConvexOn.univ_sSup_of_nat_affine_eq, differentiableOn_inv, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, ContinuousMultilinearMap.norm_mkPiAlgebraFin, hasFDerivAt_exp_of_mem_ball, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, MeasureTheory.Measure.euclideanHausdorffMeasure_def, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, MeasureTheory.MemLp.ofReal, NormedSpace.dual_def, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, Asymptotics.IsBigOTVS.pi, egauge_le_of_smul_mem_of_ne, HasFDerivAt.isLittleOTVS, HasDerivAt.inv, NumberField.house_eq_sup', fderiv_norm_sq, Seminorm.smul_le_smul, WeakDual.CharacterSpace.instStarHomClass, NonUnitalCommCStarAlgebra.toIsScalarTower, Int.Matrix.exists_ne_zero_int_vec_norm_le, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, ContinuousLinearMap.coe_mulₗᵢ, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', Real.integrableOn_rpowIntegrand₀₁_Ici, egauge_pi', ModularGroup.smul_eq_lcRow0_add, deriv_cosh, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, hasDerivAt_abs_pos, HilbertBasis.hasSum_repr_symm, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', CStarMatrix.norm_def, differentiableWithinAt_Ioi_iff_Ici, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, derivWithin_fun_pow', Polynomial.IsRoot.norm_lt_cauchyBound, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, ProbabilityTheory.charFunDual_stdGaussian, differentiableOn_zpow, HolderWith.smul_iff, fderivWithin_mul, DoubleCentralizer.add_toProd, HasDerivWithinAt.fun_inv, CFC.abs_eq_zero_iff, instIsManifoldIcc, Bundle.ContinuousRiemannianMetric.isVonNBounded, MeasureTheory.integrable_rnDeriv_mul_log_iff, TemperedDistribution.smulLeftCLM_apply_apply, integrableAtFilter_rpow_atTop_iff, deriv_sqrt, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, nndist_lineMap_left, Orientation.inner_mul_areaForm_sub, fderiv_inner_apply, contDiff_one_iff_deriv, MeasureTheory.eLpNormEssSup_const_smul_le', deriv2_sqrt_mul_log, Real.hasStrictDerivAt_log_of_pos, FormalMultilinearSeries.ofScalars_norm, HasFDerivWithinAt.fun_mul, derivWithin_pow', contMDiffOn_projIcc, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, HasStrictFDerivAt.smul, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, MeasureTheory.pdf.hasFiniteIntegral_mul, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, IsSelfAdjoint.nnnorm_pow_two_pow, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, Asymptotics.IsThetaTVS.refl, parallelepiped_single, HasStrictFDerivAt.finset_prod, contMDiff_circleExp, Continuous.cfcₙ_nnreal', HasDerivWithinAt.limsup_slope_le, Quaternion.nnnorm_coe, DifferentiableWithinAt.cos, Real.deriv2_negMulLog, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Urysohns.CU.lim_eq_midpoint, MeasureTheory.Measure.integrable_pow_neg_integrablePower, hasFDerivAt_integral_of_dominated_loc_of_lip, DoubleCentralizer.neg_fst, CStarMatrix.inner_toCLM_conjTranspose_right, norm_jacobiTheta₂_term_fderiv_le, MeasureTheory.taylorWithinEval_charFun_zero, NonUnitalStarAlgHom.instContinuousLinearMapClassComplex, Unitization.nnnorm_inr, quasispectrum.instCompactSpace, fderiv_eq_smul_deriv, integrableOn_rpow_mul_exp_neg_mul_rpow, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, CStarMatrix.toCLM_apply_single_apply, MeasureTheory.Measure.integrable_toReal_rnDeriv, BoundedContinuousFunction.char_apply, Real.isEquivalent_sinh, Int.Matrix.exists_ne_zero_int_vec_norm_le', intervalIntegral.differentiableOn_integral_of_continuous, hasStrictFDerivAt_exp_smul_const_of_mem_ball, differentiable_circleMap, DoubleCentralizer.toProdMulOppositeHom_apply, HasDerivAt.mul_const, derivWithin_const_mul, selfAdjoint.joined_one_expUnitary, integrableOn_exp_mul_complex_Ioi, Unitization.cfcₙ_eq_cfc_inr, MeasureTheory.Integrable.im, le_iff_norm_sqrt_mul_sqrt_inv, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, ProbabilityTheory.integrable_stieltjesOfMeasurableRat, Complex.restrictScalars_toSpanSingleton', HasFDerivWithinAt.list_prod', Real.differentiableAt_negMulLog_iff, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal, fderiv_inv', BoundedContinuousFunction.integrable_of_nnreal, cfcₙ_integral', Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, IsLocalMinOn.fderivWithin_eq_zero, Real.deriv2_mul_log, Unitary.mulRight_one, ContinuousMap.nnnorm_sub_eq_max, egauge_smul_left, Complex.reCLM_apply, fderivWithin_pow', Real.hasDerivAt_negMulLog, Orientation.abs_volumeForm_apply_le, Complex.conjLIE_symm, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding', StrictConvexOn.slope_lt_of_hasDerivAt, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, Affine.Simplex.signedInfDist_incenter, nnnorm_cfcₙ_lt, HasStrictDerivAt.fun_pow, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist toPseudoMetricSpace Norm.norm toNorm AddSemigroup.toAdd AddMonoid.toAddSemigroup SubNegMonoid.toAddMonoid AddGroup.toSubNegMonoid AddCommGroup.toAddGroup NonUnitalNonAssocRing.toAddCommGroup NonUnitalRing.toNonUnitalNonAssocRing toNonUnitalRing SubNegMonoid.toNeg	—	—
norm_mul_le 📖	mathematical	—	Real Real.instLE Norm.norm toNorm NonUnitalNonAssocRing.toMul NonUnitalRing.toNonUnitalNonAssocRing toNonUnitalRing Real.instMul	—	—

NonUnitalSubalgebra

Definitions

Name	Category	Theorems
nonUnitalNormedCommRing 📖	CompOp	—
nonUnitalNormedRing 📖	CompOp	—
nonUnitalSeminormedCommRing 📖	CompOp	—
nonUnitalSeminormedRing 📖	CompOp	—

NonUnitalSubalgebraClass

Definitions

Name	Category	Theorems
nonUnitalNormedRing 📖	CompOp	—
nonUnitalSeminormedRing 📖	CompOp	—

NormMulClass

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
induced 📖	mathematical	—	NormMulClass SeminormedRing.toNorm SeminormedRing.induced RingHomClass.toNonUnitalRingHomClass Semiring.toNonAssocSemiring Ring.toSemiring SeminormedRing.toRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing	—	RingHomClass.toNonUnitalRingHomClass map_mul NonUnitalRingHomClass.toMulHomClass norm_mul
isAbsoluteValue_norm 📖	mathematical	—	IsAbsoluteValue Real Real.semiring Real.partialOrder Ring.toSemiring NormedRing.toRing Norm.norm NormedRing.toNorm	—	norm_nonneg norm_eq_zero norm_add_le norm_mul
norm_mul 📖	mathematical	—	Norm.norm Real Real.instMul	—	—
toNoZeroDivisors 📖	mathematical	—	NoZeroDivisors Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing NormedRing.toRing MulZeroClass.toZero NonUnitalNonAssocSemiring.toMulZeroClass	—	norm_eq_zero norm_mul IsStrictOrderedRing.noZeroDivisors Real.instIsStrictOrderedRing AddGroup.existsAddOfLE
toNormOneClass 📖	mathematical	—	NormOneClass NormedAddCommGroup.toNorm MulOne.toOne MulOneClass.toMulOne	—	exists_ne mul_one mul_eq_left₀ IsCancelMulZero.toIsLeftCancelMulZero IsDomain.toIsCancelMulZero Real.instIsDomain norm_ne_zero_iff norm_mul

NormOneClass

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
induced 📖	mathematical	—	NormOneClass SeminormedRing.toNorm SeminormedRing.induced RingHomClass.toNonUnitalRingHomClass Semiring.toNonAssocSemiring Ring.toSemiring SeminormedRing.toRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne	—	RingHomClass.toNonUnitalRingHomClass map_one MonoidHomClass.toOneHomClass MonoidWithZeroHomClass.toMonoidHomClass RingHomClass.toMonoidWithZeroHomClass norm_one
nontrivial 📖	mathematical	—	Nontrivial	—	nontrivial_of_ne norm_zero norm_one NeZero.charZero_one IsStrictOrderedRing.toCharZero Real.instIsStrictOrderedRing
norm_one 📖	mathematical	—	Norm.norm Real Real.instOne	—	—

NormedAddCommGroup

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
tendsto_atTop 📖	mathematical	—	Filter.Tendsto Filter.atTop nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace Real Real.instLT Norm.norm SeminormedAddCommGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup	—	Filter.HasBasis.tendsto_iff Filter.atTop_basis Metric.nhds_basis_ball dist_eq_norm
tendsto_atTop' 📖	mathematical	—	Filter.Tendsto Filter.atTop nhds UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedAddCommGroup.toPseudoMetricSpace Real Real.instLT Norm.norm SeminormedAddCommGroup.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup	—	Filter.HasBasis.tendsto_iff Filter.atTop_basis_Ioi Metric.nhds_basis_ball dist_eq_norm

NormedCommRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toCommRing 📖	CompOp	171 math math: LinearMap.subset_bipolar, HasSum.exp, NormedSpace.isBounded_polar_of_mem_nhds_zero, contDiffAt_prod', MeasureTheory.Integrable.fin_nat_prod, Finset.analyticOnNhd_prod, MDifferentiableAt.prod, HasFDerivWithinAt.pow, hasFDerivAt_multiset_prod, HasStrictDerivAt.pow, HasDerivAt.fun_finset_prod, LinearMap.polar_eq_iInter, deriv_fun_finset_prod, fderiv_multiset_prod, AnalyticOnNhd.eval_linearMap', fderiv_fun_pow, hasStrictFDerivAt_exp_smul_const_of_mem_ball', HasStrictFDerivAt.pow, MeasureTheory.MemLp.prod, Matrix.exp_conj', HasFDerivAt.finset_prod, Matrix.exp_neg, gelfandStarTransform_naturality, LinearMap.polar_singleton, gelfandStarTransform_apply_apply, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.fun_finset_prod, gelfandTransform_bijective, NormedSpace.isClosed_polar, HasFDerivWithinAt.multiset_prod, summable_finset_prod_of_summable_norm, RingHomIsometric.starRingEnd, multipliable_one_add_of_summable, hasStrictFDerivAt_multiset_prod, fderivWithin_finset_prod, HasDerivAt.pow, EulerProduct.eulerProduct_hasProd, spectrum.gelfandTransform_eq, HasDerivAt.fun_pow, contDiffOn_prod', HasDerivWithinAt.fun_finset_prod, NormedSpace.smul_mem_polar, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, EulerProduct.eulerProduct, gelfandStarTransform_symm_apply, Finset.analyticWithinAt_fun_prod, contDiffWithinAt_prod', contDiffOn_prod, hasStrictFDerivAt_exp_smul_const', deriv_pow, fderiv_pow, HasFDerivAt.pow, Finset.analyticWithinAt_prod, Finset.nnnorm_prod_le', AnalyticOnNhd.eval_linearMap, NormedSpace.polar_ball_subset_closedBall_div, gelfandTransform_map_star, EulerProduct.eulerProduct_tprod, fderiv_pow_ring, hasFDerivAt_list_prod', ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, Finset.norm_prod_one_add_sub_one_le, MeasureTheory.MemLp.prod', Summable.hasProdUniformlyOn_nat_one_add, MeasureTheory.Integrable.fintype_prod_dep, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, hasFDerivAt_exp_smul_const', Matrix.exp_zsmul, MDifferentiableOn.prod, HasStrictDerivAt.fun_finset_prod, norm_iteratedFDerivWithin_prod_le, AnalyticOnNhd.aeval_mvPolynomial, fderivWithin_fun_pow, HasFDerivAt.multiset_prod, NormedSpace.exp_sum, Summable.multipliableLocallyUniformlyOn_one_add, ContinuousMultilinearMap.norm_mkPiAlgebra, contDiffAt_prod, Summable.multipliableLocallyUniformlyOn_nat_one_add, DifferentiableWithinAt.finset_prod, Summable.hasProdLocallyUniformlyOn_one_add, Summable.multipliableUniformlyOn_one_add, hasFDerivAt_pow, LinearMap.polar_gc, ArithmeticFunction.IsMultiplicative.eulerProduct, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, LinearMap.polar_weak_closed, EulerProduct.eulerProduct_hasProd_mulIndicator, AnalyticOnNhd.eval_polynomial, fderivWithin_multiset_prod, Finset.norm_prod_le', StrongDual.polar_univ, hasFDerivAt_exp_smul_const_of_mem_ball, Matrix.exp_conj, DifferentiableOn.finset_prod, DifferentiableOn.fun_finset_prod, hasFDerivAt_exp_smul_const, fderiv_finset_prod, LinearMap.mem_polar_singleton, hasStrictFDerivAt_finset_prod, LinearMap.polar_eq_biInter_preimage, LinearMap.tripolar_eq_polar, contDiff_prod', norm_iteratedFDeriv_prod_le, Finset.analyticAt_prod, tendsto_tprod_one_add_of_dominated_convergence, derivWithin_fun_finset_prod, HasDerivWithinAt.fun_pow, HasDerivWithinAt.finset_prod, HasMFDerivAt.prod, Finset.analyticOn_fun_prod, Differentiable.fun_finset_prod, NormedSpace.sInter_polar_eq_closedBall, deriv_finset_prod, contDiffWithinAt_prod, derivWithin_fun_pow, StrongDual.zero_mem_polar, ContinuousMapZero.instCStarRing, HasStrictFDerivAt.multiset_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, HasDerivWithinAt.pow, LinearMap.polar_isClosed, Summable.hasProdLocallyUniformlyOn_nat_one_add, StrongDual.polar_empty, DifferentiableWithinAt.fun_finset_prod, analyticAt_finprod, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, MeasureTheory.Integrable.fintype_prod, derivWithin_finset_prod, AnalyticAt.aeval_mvPolynomial, deriv_fun_pow, hasFDerivAt_exp_smul_const_of_mem_ball', hasStrictFDerivAt_exp_smul_const, Summable.hasProdUniformlyOn_one_add, DifferentiableAt.finset_prod, gelfandTransform_isometry, Finset.nnnorm_prod_le, HasStrictDerivAt.finset_prod, StrongDual.polar_zero, HasFDerivWithinAt.finset_prod, StrongDual.mem_polar_iff, Differentiable.finset_prod, HasDerivAt.finset_prod, fderivWithin_pow, hasStrictFDerivAt_pow, AnalyticOn.eval_polynomial, prod_vanishing_of_summable_norm, hasFDerivWithinAt_pow, LinearMap.polar_mem_iff, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, StrongDual.polar_singleton, Finset.norm_prod_le, StrongDual.mem_polar_singleton, Summable.multipliableUniformlyOn_nat_one_add, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', LinearMap.polar_mem, fderivWithin_pow_ring, derivWithin_pow, MDifferentiable.prod, Finset.analyticAt_fun_prod, AnalyticOnNhd.eval_continuousLinearMap, StrongDual.polar_nonempty, contDiff_prod, Finset.analyticOnNhd_fun_prod, MDifferentiableWithinAt.prod, Finset.analyticOn_prod, HasStrictFDerivAt.finset_prod, hasStrictFDerivAt_exp_smul_const_of_mem_ball, hasFDerivAt_finset_prod, HasStrictDerivAt.fun_pow
toNonUnitalNormedCommRing 📖	CompOp	3972 math math: Polynomial.fderiv, range_cfcₙ_nnreal, Matrix.l2_opNorm_toEuclideanCLM, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, HasDerivAt.fun_neg, ValueDistribution.logCounting_zero, hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, Convex.norm_image_sub_le_of_norm_derivWithin_le, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, LinearMap.IsSymmetric.clm_adjoint_eq, Real.hasDerivAt_arccos, InnerProductSpace.Core.inner_smul_right, HasStrictFDerivAt.log, continuousSMul_sphere_ball, WithLp.prod_inner_apply, fderiv_iteratedFDeriv, Polynomial.differentiableWithinAt, RCLike.sqrt_eq_ite, 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, Unitization.isometry_inr, LinearMap.mkContinuous₂_norm_le', ContinuousMultilinearMap.norm_mkPiRing, RCLike.im_le_neg_norm_iff_eq_neg_I_mul_norm, ContinuousLinearMap.derivWithin_of_bilinear, Bundle.ContMDiffRiemannianMetric.isVonNBounded, HasDerivWithinAt.clm_comp, MeasureTheory.lpNorm_conj, TensorProduct.enorm_lid, InnerProductSpace.Core.inner_add_left, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, meromorphicNFOn_mul_iff_right_of_analyticOnNhd, differentiableAt_comp_neg, ProbabilityTheory.cdf_measure_stieltjesFunction, continuous_cfcₙHomSuperset_left, hasDerivWithinAt_Iio_iff_Iic, cfcₙL_integral, HasDerivAt.ccos, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, Function.locallyFinsuppWithin.logCounting_single_eq_log_sub_const, LinearMap.mkContinuous₂_apply, Matrix.frobenius_nnnorm_mul, RCLike.pos_iff_exists_ofReal, TensorProduct.inner_tmul, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, HasMFDerivAt.mul, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, InnerProductSpace.isPositive_rankOne_self, HasDerivAt.const_rpow, Orthonormal.inner_left_finsupp, LeftInvariantDerivation.lift_zero, contDiffAt_prod', ProbabilityTheory.isGaussian_iff_gaussian_charFun, Function.locallyFinsuppWithin.logCounting_strictMono, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, logDeriv_const, HasFDerivWithinAt.continuousMultilinearMap_apply, contDiffOn_nat_succ_iff_contDiffOn_one_iteratedDerivWithin, RCLike.map_apply, MDifferentiableOn.clm_postcomp, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, Meromorphic.mul, ContinuousLinearMap.continuous₂, LinearMap.IsSymmetric.inner_map_polarization, fun_meromorphicOrderAt_div, HasDerivAt.const_sub, hasDerivWithinAt_add_const_iff, LinearMap.coe_toSeminorm, FormalMultilinearSeries.comp_partialSum, HasDerivAtFilter.sum, HasFDerivWithinAt.ccos, Matrix.IsHermitian.isClosedEmbedding_cfcAux, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, PadicInt.lift_sub_val_mem_span, IsSelfAdjoint.commute_cfcHom, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, LinearMap.toLinearMap_tracePositiveLinearMap, hasStrictDerivAt_intCast, cfcₙ_norm_nonneg, Complex.linearEquiv_det_conjLIE, ContinuousWithinAt.cfcₙ, LeftInvariantDerivation.leibniz, Ideal.toCharacterSpace_apply_eq_zero_of_mem, 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, HasStrictDerivAt.rpow, smooth_barycentric_coord, cfcₙHom_apply_mem_elemental, curveIntegral_smul, Real.fourierCoeff_tsum_comp_add, CFC.abs_eq_cfc_norm, inner_vsub_right_eq_zero_symm, Differentiable.fun_div, Finset.analyticOnNhd_prod, CFC.sqrt_eq_one_iff', Filter.Tendsto.cfc, CFC.posPart_one, InnerProductSpace.rankOne_one_left_eq_innerSL, ContinuousMap.abs_mem_subalgebra_closure, Function.FactorizedRational.divisor, cfc_mem_elemental, MDifferentiableAt.prod, NonUnitalCStarAlgebra.toStarModule, hasDerivAt_sqrt_mul_log, StrongDual.norm_extendRCLike, HasFiniteFPowerSeriesAt.neg, HasStrictFDerivAt.csin, Polynomial.isEquivalent_atBot_div, nnnorm_cfcₙ_nnreal_le_iff, ContinuousLinearMap.map_add_add, MeromorphicAt.analyticAt, HasFDerivWithinAt.pow, Function.locallyFinsuppWithin.toClosedBall_support_subset_closedBall, ContDiff.div_const, WeakDual.isCompact_polar, MeromorphicOn.divisor_fun_smul, nnnorm_cfc_lt, EuclideanSpace.orthonormal_single, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, HasDerivWithinAt.div_const, Real.hasDerivAt_sigmoid, meromorphicOrderAt_const_ofNat, ContDiffMapSupportedIn.seminorm_monoLM_eq, Polynomial.derivWithin_aeval, Asymptotics.IsTheta.const_mul_left, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, HasDerivWithinAt.congr_mono, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, Matrix.IsHermitian.det_abs, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, LinearMap.IsPositive.ne_zero_iff, hasDerivAt_integral_of_dominated_loc_of_lip, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, differentiableAt_zpow, hasFDerivAt_multiset_prod, MDifferentiableAt.cle_arrowCongr, ProbabilityTheory.covarianceBilinDual_apply', spectrum.subset_closedBall_norm_mul, continuousSMul_sphere_sphere, derivWithin_id', not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, RCLike.re_add_im, CFC.posPart_natCast, hasFTaylorSeriesUpToOn_top_iff_right, smoothSheafCommRing.nonunits_stalk, MeasureTheory.convolution_mul, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, deriv_mem_iff, Matrix.spectrum_toEuclideanLin, FormalMultilinearSeries.radius_pi_eq_iInf, CFC.tendsto_cfc_rpow_sub_one_log, MeasureTheory.lpNorm_fun_div_natCast, SchwartzMap.pairing_apply_apply, InnerProductSpace.isIdempotentElem_rankOne_self, norm_iteratedFDerivWithin_smul_le, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, Differentiable.clm_comp, Meromorphic.fun_inv, Padic.withValUniformEquiv_norm_le_one_iff, tendsto_cobounded_iff_meromorphicOrderAt_neg, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, lp.inner_eq_tsum, logDeriv_comp, StrongDual.polarSubmodule_eq_setOf, ContDiffMapSupportedIn.structureMapCLM_eq_of_scalars, hasDerivWithinAt_Ioi_iff_Ici, ContinuousLinearMapWOT.tendsto_iff_forall_inner_apply_tendsto, HasStrictDerivAt.pow, DifferentiableAt.div, CFC.sq_sqrt, RCLike.star_def, OrthonormalBasis.sum_inner_mul_inner, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, meromorphicOrderAt_const, HasDerivAt.hasDerivWithinAt, ContinuousLinearMap.hasDerivAtFilter, fderivWithin_csinh, span_fourier_closure_eq_top, HasDerivAtFilter.comp_hasFDerivAtFilter, MeromorphicAt.finsum, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, mdifferentiableAt_iff_localFrame_coeff, integrableOn_cfc', OpenPartialHomeomorph.hasDerivAt_symm, WeakDual.isClosed_image_polar_of_mem_nhds, ContinuousLinearMap.integral_apply, HasDerivAt.fun_finset_prod, LinearMap.polar_eq_iInter, ProbabilityTheory.covarianceBilinDual_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', hensels_lemma, Padic.AddValuation.map_one, MeasureTheory.integral_fintype_prod_volume_eq_pow, Real.fderiv_fourierChar_neg_bilinear_right_apply, ContMDiffCovariantDerivativeOn.affine_combination, BoundedContinuousFunction.char_neg, Unitization.real_cfcₙ_eq_cfc_inr, PadicInt.appr_spec, flip_innerSL_real, Matrix.le_iff, norm_cfc_lt_iff, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, HasFDerivWithinAt.clm_apply, hasFPowerSeriesOnBall_pi_iff, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, continuousOn_dslope, ContDiffMapSupportedIn.structureMapCLM_apply, RCLike.sub_conj, iteratedFDerivWithin_succ_eq_comp_right, NumberField.mem_maximalRealSubfield_iff, HasFPowerSeriesWithinAt.const_smul, norm_smul_inv_norm', Module.Dual.extendRCLikeₗ_symm_apply, SchwartzMap.lineDerivOp_fourier_eq, ValueDistribution.logCounting_zero_mul_le, RCLike.pos_iff, PadicInt.valuation_zero, isClosedEmbedding_cfcₙAux, deriv_comp_const_sub, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, LeftInvariantDerivation.coe_derivation, innerSL_apply_apply, RCLike.norm_expect_le, fderiv_multiset_prod, HasFPowerSeriesWithinOnBall.restrictScalars, CFC.abs_eq_cfcₙ_coe_norm, ProbabilityTheory.covarianceBilin_multivariateGaussian, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, inner_sum, EuclideanSpace.inner_single_left, HasFTaylorSeriesUpTo.hasFDerivAt, EuclideanSpace.basisFun_toBasis, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, Submodule.orthogonalProjectionFn_inner_eq_zero, hasDerivAt_neg', Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContMDiffOn.clm_postcomp, inner_eq_norm_mul_iff, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, ProbabilityTheory.covarianceBilin_apply_eq_cov, iteratedDerivWithin_comp_two, ProbabilityTheory.covarianceBilin_self, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, nnnorm_cfcₙ_lt_iff, eqOn_dslope_sub_smul, Matrix.toLinearMap_tracePositiveLinearMap, MeromorphicAt.mul, ContinuousLinearMap.IsPositive.inner_nonneg_right, LeftInvariantDerivation.left_invariant', selfAdjoint.expUnitaryPathToOne_apply, hasDerivAt_bernoulliFun, derivWithin_fderivWithin, CFC.nnnorm_sqrt, RCLike.wInner_sub_right, MultilinearMap.mkContinuousMultilinear_apply, ProbabilityTheory.uncenteredCovarianceBilin_apply, StrongDual.norm_extendRCLike_bound, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, PadicInt.nthHom_zero, FormalMultilinearSeries.derivSeries_coeff_one, Polynomial.isCoveringMapOn_eval, Matrix.spectrum_toLpLin, ContinuousOn.cfcₙ', ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, PadicInt.sub_zmodRepr_mem, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, Submodule.mem_orthogonal_singleton_iff_inner_right, fderiv_clm_comp, BoxIntegral.unitPartition.mem_smul_span_iff, 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, fderiv_continuousAlternatingMap_apply_const, MeasureTheory.integral_fintype_prod_eq_prod, HasGradientAt.hasDerivAt', derivWithin_comp_const_sub, AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, iteratedDeriv_pow, Int.padicValuation_lt_one_iff, AffineMap.hasDerivWithinAt, MeromorphicOn.divisor_const, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, MeromorphicNFAt.meromorphicOrderAt_nonneg_iff_analyticAt, ContDiffMapSupportedIn.seminorm_fderivLM_le, EuclideanSpace.basisFun_apply, instSMulCommClass_sphere_sphere_sphere, Bundle.RiemannianMetric.isVonNBounded, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, ContDiffMapSupportedIn.seminorm_fderivLM_top, meromorphicOrderAt_mul, HasStrictDerivAt.of_local_left_inverse, PadicInt.nonarchimedean, IsGreatest.nnnorm_cfcₙ, NormedSpace.toIsBoundedSMul, ContinuousAt.cfc, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Submodule.isOrtho_iff_inner_eq, Complex.hasStrictDerivAt_tan, CPolynomialOn.iterated_deriv, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, curveIntegralFun_smul, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, ClosedSubmodule.mem_orthogonal', CFC.sqrt_rpow, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, logDeriv_mul, ContinuousMap.continuousMap_mem_subalgebra_closure_of_separatesPoints, ContinuousAlternatingMap.piLIE_apply_apply, PreInnerProductSpace.Core.smul_left, Differentiable.fderiv_norm_rpow, RCLike.normSq_neg, UnitAddTorus.mFourierSubalgebra_coe, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, RCLike.toStarOrderedRing, MeasureTheory.integral_const_mul, FormalMultilinearSeries.hasSum_of_finite, signedDist_right_congr, hasDerivAtFilter_ofNat, iteratedDeriv_comp_const_mul, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, RCLike.is_real_TFAE, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, ContinuousMap.toNNReal_neg_algebraMap, TensorProduct.toLinearEquiv_lidIsometry, HasStrictDerivAt.cpow, HasFPowerSeriesOnBall.restrictScalars, ContinuousLinearMap.isometry_mul_flip, UpperHalfPlane.num_neg, OrthonormalBasis.toBasis_singleton, ContDiffOn.inner, PadicInt.zmodRepr_mul, AnalyticOnNhd.eval_linearMap', inner_gradientWithin_right, fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, InnerProductSpace.smul_left, ClosedSubmodule.inf_orthogonal, HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, DiffContOnCl.inv, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, sum_cauchyPowerSeries_eq_integral, SchwartzMap.laplacianCLM_eq, monomial_has_deriv_aux, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, LinearIsometryEquiv.conjStarAlgEquiv_apply, HasDerivWithinAt.sub, DifferentiableAt.zpow, LinearMap.toMatrixOrthonormal_reindex, PiTensorProduct.projectiveSeminormAux_smul, MeasureTheory.integral_div, MeasureTheory.ConvolutionExistsAt.integrable, CompactlySupportedContinuousMap.nnrealPart_smul_neg, Matrix.IsHermitian.eigenvalues_eq, cfc_complex_eq_real, HasStrictFDerivAt.pow, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Function.locallyFinsuppWithin.zero_iff_logCounting_bounded, Real.hasDerivAt_mul_log, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, norm_cfc_le_iff, fderivWithin_sinh, RCLike.mul_conj, iter_deriv_zpow', ValueDistribution.logCounting_pow_top, PadicInt.coe_sum, Matrix.exp_conj', hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, Real.hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, ContinuousLinearMap.opNorm_mul_flip_apply, deriv_conj_conj, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, ConvexOn.univ_sSup_of_countable_affine_eq, contDiff_nat_succ_iff_contDiff_one_iteratedDeriv, RCLike.hasSum_ofReal, CFC.negPart_algebraMap, InnerProductSpace.inner_left_rankOne_apply, cfcₙHom_nnreal_eq_restrict, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, TestFunction.toBoundedContinuousFunctionCLM_apply, IsLocalFrameOn.coeff_apply_of_mem, OpenPartialHomeomorph.contDiffAt_symm_deriv, HasFDerivAt.finset_prod, ENNReal.orderIsoRpow_symm_apply, hasStrictDerivAt_abs_pos, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, ContinuousLinearMap.norm_extendTo𝕜, Bundle.Trivialization.localFrame_coeff_congr, Matrix.exp_neg, 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, polynomialFunctions.starClosure_topologicalClosure, antideriv_bernoulliFun, innerₛₗ_apply_apply, Real.hasStrictFDerivAt_rpow_of_pos, hasFDerivWithinAt_inv, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, ContMDiffAt.clm_postcomp, RCLike.ofReal_balance, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, hasDerivWithinAt_pi, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, HasFDerivWithinAt.csin, PadicAlgCl.isNonarchimedean, ContinuousLinearMap.eq_adjoint_iff, MeasureTheory.L2.inner_def, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, RCLike.nonpos_iff, RCLike.nonpos_iff_exists_ofReal, Polynomial.div_tendsto_zero_iff_degree_lt, RCLike.wInner_of_isEmpty, Differentiable.zpow, Real.volume_val, derivWithin.scomp, Continuous.cfc', OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, Int.padicValuation_eq_one_iff, HasFPowerSeriesAt.comp, RCLike.realRingEquiv_symm_apply, HasFDerivAt.continuousMultilinear_apply_const, HasFDerivWithinAt.continuousAlternatingMap_apply, ContinuousLinearMap.IsPositive.smul_of_nonneg, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, LinearMap.polar_singleton, FormalMultilinearSeries.sum_of_finite, MeromorphicOn.divisor_pow, RCLike.nonUnitalContinuousFunctionalCalculus, HasDerivAt.hasGradientAt, HasFTaylorSeriesUpToOn.zero_eq', SchwartzMap.compCLMOfContinuousLinearEquiv_apply, intervalIntegral.integral_div, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, PadicInt.le_valuation_add, signedDist_left_congr, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, contMDiffOn_localFrame_coeff, ContDiffMapSupportedIn.monoLM_apply, HasDerivWithinAt.Iic_of_Iio, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, Function.locallyFinsuppWithin.logCounting_nonneg, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, cfcₙ_integral, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, LinearMap.isHermitian_toMatrix_iff, RCLike.ofReal_comp_balance, HasDerivWithinAt.clm_apply, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.hasDerivAt, RKHS.kernel_apply, HasDerivAt.finCons, RCLike.reCLM_norm, signedDist_triangle, HasDerivWithinAt.sin, HasDerivAtFilter.add, Real.hasDerivAt_arcosh, cfcₙ_setIntegral, FormalMultilinearSeries.radius_le_smul, MDifferentiable.clm_postcomp, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, ContinuousLinearMap.isPositive_self_comp_adjoint, iteratedDeriv_scomp_eq_sum_orderedFinpartition, HasDerivAt.cpow, RCLike.ofReal_sub, LinearMap.adjoint_toContinuousLinearMap, hasDerivAt_iff_isLittleO, DifferentiableAt.fun_finset_prod, 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, Continuous.cfc_nnreal', hasFPowerSeriesAt_const, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, fderiv_eq_deriv_mul, Submodule.starProjection_inner_eq_zero, nndist_right_lineMap, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, signedDist_linear_apply_apply, MeromorphicOn.extract_zeros_poles_log, CFC.abs_coe_unitary, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, FormalMultilinearSeries.radius_compNeg, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, SchwartzMap.fourierMultiplierCLM_compL_fourierMultiplierCLM, HasStrictDerivAt.fun_sum, LinearIsometryEquiv.adjoint_eq_symm, extDeriv_fun_smul, fderivWithin_ccosh, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeromorphicAt.inv_iff, MeasureTheory.setIntegral_prod_mul, Matrix.toEuclideanLin_apply, HasDerivAt.congr_of_eventuallyEq, iteratedDerivWithin_eq_iteratedFDerivWithin, HasFDerivWithinAt.mul, LinearMap.IsPositive.isPositive_smul_iff, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, RCLike.im_eq_zero_iff_isSelfAdjoint, HasFDerivWithinAt.multiset_prod, ContinuousLinearMap.opNorm_mul, MeasureTheory.integral_fintype_prod_eq_pow, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, InnerProductSpace.Core.inner_smul_ofReal_right, HasFDerivAt.arctan, Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg, Real.hasStrictDerivAt_arccos, RCLike.conjCLE_apply, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, HasFTaylorSeriesUpTo.fderiv_eq, HasDerivAt.fun_pow', Unitization.nnnorm_def, Unitization.dist_inr, HasStrictFDerivAt.abs, IsUnit.cfcSqrt, CFC.continuousOn_log, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, TestFunction.fderivCLM_ofSupportedIn, Function.locallyFinsuppWithin.logCounting_eval_zero, ProbabilityTheory.IndepFun.integral_comp_mul_comp, Complex.instContinuousStar, summable_finset_prod_of_summable_norm, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, HasLineDerivAt.tendsto_slope_zero_right, HasDerivAt.nonneg_of_monotone, isScalarTower_sphere_closedBall_closedBall, Complex.hasDerivAt_GammaIntegral, fderiv_continuousAlternatingMapCompContinuousLinearMap, PadicInt.norm_lt_one_iff_dvd, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, MeromorphicOn.divisor_natCast, RCLike.wInner_cWeight_eq_expect, PadicInt.mul_inv, PiTensorProduct.mapL_smul, RCLike.I_mul_I, ProbabilityTheory.charFun_multivariateGaussian, cfcL_integrable, ContinuousLinearMap.adjointAux_norm, RCLike.toIsStrictOrderedModule, ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, DifferentiableAt.fun_div, ValueDistribution.logCounting_mul_zero_eventuallyLE, ValueDistribution.logCounting_top, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, Polynomial.isEquivalent_atTop_lead, meromorphicOrderAt_ne_top_iff, ContDiffAt.inv, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, RCLike.instCStarRing, LDL.lowerInv_orthogonal, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, signedDist_le_dist, HasStrictFDerivAt.arsinh, RCLike.re_nonneg_of_nonneg, InnerProductSpace.Core.inner_neg_left, HasFDerivWithinAt.exp, ContinuousOn.cfc, summable_mul_of_bigO_atTop, Meromorphic.prod, SchwartzMap.fourier_lineDerivOp_eq, AddChar.wInner_cWeight_eq_zero_iff_ne, ContinuousLinearMapWOT.inducingFn_apply, entrywise_sup_norm_bound_of_unitary, Polynomial.abs_div_tendsto_atBot_atTop_of_degree_gt, hasStrictDerivAt_exp_smul_const, RCLike.ofReal_nonneg, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Filter.EventuallyEq.ftaylorSeries, isBoundedBilinearMap_comp, fderivWithin_sin, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, CFC.continuousOn_sqrt, hasStrictDerivAt_add_const_iff, inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAux, Finsupp.sum_inner, MeasureTheory.integral_fin_nat_prod_volume_eq_prod, multipliable_one_add_of_summable, LeftInvariantDerivation.lift_smul, RCLike.complexRingEquiv_apply, FormalMultilinearSeries.rightInv_removeZero, HasStrictDerivAt.csin, MeromorphicOn.prod, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, ClosedSubmodule.orthogonal_closure'', HasDerivWithinAt.comp, PadicInt.exists_mem_range, contDiffWithinAt_euclidean, hasStrictDerivAt_exp_smul_const', Complex.hasStrictFDerivAt_cpow', Real.fourier_iteratedFDeriv, HasDerivAt.add, RCLike.nonUnitalContinuousFunctionalCalculusIsClosedEmbedding, SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, ValueDistribution.logCounting_mul_top_eventuallyLE, HasMFDerivAt.smul, EulerProduct.eulerProduct_completely_multiplicative, HasStrictDerivAt.div, meromorphicOrderAt_mul_of_ne_zero, hasDerivAtFilter_zero, PadicInt.exists_mem_range_of_norm_rat_le_one, signedDist_apply_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Polynomial.abs_div_tendsto_atTop_atTop_of_degree_gt, derivWithin_zpow, Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Meromorphic.div, UnitAddTorus.mFourierCoeff_toLp, WeakDual.toStrongDual_inj, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, Asymptotics.IsEquivalent.mul, LinearMap.extendTo𝕜'_apply, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, dslope_sub_smul, hasDerivAt_id', HasDerivWithinAt.cos, LinearMap.dualEmbedding_surjective, Bundle.ContinuousRiemannianMetric.symm, ContinuousMultilinearMap.curryRight_norm, ContinuousLinearMap.analyticOn_bilinear, Matrix.IsHermitian.eigenvectorUnitary_mulVec, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, iteratedFDeriv_comp_const_smul, Function.locallyFinsuppWithin.logCounting_eventually_le, fderiv.log, HasStrictDerivAt.arctan, HasStrictDerivAt.mul, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, MeasureTheory.convolution_lsmul, MDifferentiableAt.clm_postcomp, fderiv_continuousAlternatingMap_apply, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, ContDiffMapSupportedIn.monoLM_eq_of_scalars, Polynomial.exists_aroots_norm_sub_lt_of_norm_coeff_sub_lt, hasDerivAt_abs_neg, coe_innerSL_apply, fderivWithin_finset_prod, inner_eq_zero_of_right, LinearMap.IsSymmetric.inner_map_self_eq_zero, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, meromorphicNFAt_mul_iff_left, RegularNormedAlgebra.isometry_mul', HasStrictDerivAt.real_of_complex, PadicInt.inv_mul, Matrix.PosSemidef.det_sqrt, multipliable_norm_one_add_of_summable_norm, integral_smul_const, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, fun_meromorphicOrderAt_smul, HasDerivAt.differentiableAt, TestFunction.limitCLM_apply, hasDerivWithinAt_abs, RCLike.toPosMulReflectLT, hasFPowerSeriesOnBall_const, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, fun_meromorphicOrderAt_zpow, TensorProduct.lidIsometry_apply, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, HasDerivWithinAt.csinh, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, DifferentiableAt.star_conj, meromorphicNFOn_fun_prod, VectorFourier.hasFDerivAt_fourierIntegral, PadicInt.fwdDiff_tendsto_zero, EulerProduct.eulerProduct_hasProd, Module.Basis.coe_toOrthonormalBasis_repr, hasFDerivAt_ringInverse, LinearMap.IsPositive.inner_nonneg_left, norm_cfcₙ_lt, HasFDerivAt.continuousAlternatingMap_apply, hasGradientAtFilter_iff_isLittleO, MeasureTheory.convolution_precompR_apply, ProbabilityTheory.IsMeasurableRatCDF.instIsProbabilityMeasure_stieltjesFunction, WeakDual.coe_toStrongDual, NormedSpace.eq_zero_iff_forall_dual_eq_zero, SchwartzMap.compSubConstCLM_apply, VectorFourier.fourierIntegral_iteratedFDeriv, hasGradientAt_iff_isLittleO, InformationTheory.hasDerivAt_klFun, ContinuousMap.toNNReal_algebraMap, InnerProductSpace.nnnorm_rankOne, contDiffOn_one_iff_derivWithin, range_cfc_subset, BoundedContinuousFunction.mem_charPoly, StarAlgHom.continuous_realContinuousMapOfNNReal, BoundedContinuousFunction.charAlgHom_apply, LeftInvariantDerivation.comp_L, HasDerivAt.fun_pow, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, Matrix.PosSemidef.trace_eq_zero_iff, HasGradientWithinAt.differentiableWithinAt, Commute.cfc_real, LinearMap.trace_eq_sum_inner, Matrix.gram_zero, ContinuousAlternatingMap.curryLeft_apply_apply, ContinuousLinearMap.flip_smul, logDeriv_fun_pow, MeromorphicOn.divisor_inv, Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos, HasDerivAtFilter.mono, ContDiffAt.div_const, Submodule.norm_eq_iInf_iff_inner_eq_zero, HasDerivWithinAt.fun_pow', 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, MeromorphicOn.divisor_fun_pow, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, Matrix.IsHermitian.charpoly_cfc_eq, AnalyticAt.deriv, MeasureTheory.ConvolutionExistsAt.integrable_swap, IsGreatest.norm_cfcₙ, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, Real.volume_eq_stieltjes_id, HasFiniteFPowerSeriesOnBall.eq_partialSum, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, hasDerivAt_tsum_of_isPreconnected, Matrix.gram_eq_conjTranspose_mul, contDiffOn_prod', IsLocalFrameOn.coeff_congr, nnnorm_cfcₙ_nnreal_lt, CFC.sqrt_eq_rpow, inner_eq_norm_mul_iff_div, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, cfcₙ_comp_norm, FiniteDimensional.rclike_to_real, HasDerivAtFilter.isBigO_sub_rev, HasDerivWithinAt.nonpos_of_antitoneOn, ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, LDL.lowerInv_triangular, CompactlySupportedContinuousMap.coe_toRealLinearMap, differentiableOn_dslope_of_notMem, MeromorphicOn.divisor_fun_prod, HasFPowerSeriesOnBall.fderiv_eq, RCLike.wInner_neg_right, Continuous.cfcₙ_of_mem_nhdsSet, UpperHalfPlane.zero_form_isBoundedAtImInfty, continuousMap_mem_polynomialFunctions_closure, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, Meromorphic.MeromorphicOn.countable_compl_analyticAt, SchwartzMap.smulLeftCLM_sum, AffineMap.hasDerivWithinAt_lineMap, NumberField.ComplexEmbedding.IsConj.eq, cfc_real_eq_nnreal, ContinuousLinearMap.fderiv_of_bilinear, Real.hasDerivWithinAt_arccos_Ici, cfcₙHom_integral, Continuous.cfcₙ, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, Polynomial.abs_tendsto_atTop_iff, ContinuousAlternatingMap.alternatizeUncurryFin_smul, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, EulerProduct.eulerProduct, Complex.hasDerivAt_Gammaℝ_one, StarAlgHom.realContinuousMapOfNNReal_apply, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, TestFunction.postcompCLM_apply, hasDerivAt_iff_tendsto_slope_left_right, BoundedContinuousFunction.instStarModule, deriv_id'', HasFTaylorSeriesUpToOn.hasFDerivWithinAt, HasDerivWithinAt.const_cpow, Submodule.adjoint_subtypeL, IsGreatest.norm_cfc, hasStrictFDerivAt_exp, HasDerivAtFilter.sub, ContinuousLinearMap.opNorm_mul_apply, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, deriv_fun_div, Function.FactorizedRational.mulSupport, PadicInt.coe_addChar_of_value_at_one, RCLike.summable_ofReal, ContinuousMapZero.integral_apply, RCLike.conj_mul, MeasureTheory.convolution_def, ContinuousMultilinearMap.curryLeft_norm, HasDerivAt.hasFDerivAt, Polynomial.toAddCircle.integrable, HasDerivAtFilter.iterate, InnerProductSpace.trace_rankOne, ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp, MDifferentiableWithinAt.cle_arrowCongr, RCLike.imLm_coe, HasFPowerSeriesWithinOnBall.prod, MDifferentiableWithinAt.clm_precomp, HasDerivAt.fun_add, SchwartzMap.fourierMultiplierCLM_sum, HasDerivAt.neg, HasDerivAt.star, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, Meromorphic.zpow, continuousOn_cfcₙ, hasStrictDerivAt_const_add_iff, isBoundedBilinearMap_compMultilinear, sum_mul_eq_sub_integral_mul', Finset.analyticWithinAt_fun_prod, contDiffWithinAt_prod', HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, Function.FactorizedRational.meromorphicOrderAt_eq, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, iteratedDeriv_fun_id_zero, HasFPowerSeriesOnBall.uniform_geometric_approx, 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, Unitization.cobounded_eq_aux, HasDerivAtFilter.const_smul, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, sum_inner, CompactlySupportedContinuousMap.nnrealPart_add_le_add_nnrealPart, RCLike.ofReal_mul, Polynomial.div_tendsto_atBot_zero_of_degree_lt, iteratedDeriv_comp_sub_const, HasFPowerSeriesWithinAt.fderivWithin_eq, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, RCLike.instContinuousMapUniqueHom, FormalMultilinearSeries.id_comp', mdifferentiableOn_localFrame_coeff, ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_univ, analyticOrderAt_ne_zero, MeromorphicOn.meromorphicTrailingCoeffAt_extract_zeros_poles, contDiffOn_prod, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, signedDist_eq_zero_of_orthogonal, DifferentiableWithinAt.hasDerivWithinAt, InnerProductSpace.Core.inner_neg_right, FormalMultilinearSeries.coeff_eq_zero, analyticOrderAt_centeredMonomial, ProbabilityTheory.covarianceBilin_zero, CFC.posPart_algebraMap_nnreal, RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, VectorFourier.differentiable_fourierIntegral, Polynomial.abs_tendsto_atTop, HasDerivWithinAt.mul, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, HasDerivAt.log, LeftInvariantDerivation.evalAt_coe, Matrix.IsHermitian.trace_eq_sum_eigenvalues, fderiv_inverse, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, range_cfcₙ, ContMDiffOn.clm_precomp, hasGradientAt_iff_isLittleO_nhds_zero, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, contDiffOn_nat_iff_continuousOn_differentiableOn, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, Complex.hasStrictFDerivAt_cpow, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, Filter.EventuallyEq.hasDerivAt_iff, fderiv_pow, InnerProductSpace.rankOne_eq_zero, Polynomial.differentiable_aeval, meromorphicNFAt_finprod, IsGreatest.nnnorm_cfc, HasDerivAt.csinh, Real.fourierIntegral_convergent_iff', fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, RCLike.mul_wInner_left, Convex.toWeakSpace_closure, Function.FactorizedRational.finprod_eq_fun, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, RCLike.re_eq_norm_of_mul_conj, Bundle.ContMDiffRiemannianMetric.symm, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, HasDerivWithinAt.sqrt, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, meromorphicOrderAt_const_natCast, Real.hasDerivAt_qaryEntropy, Finset.analyticWithinAt_prod, innerSL_inj, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, continuousAt_dslope_same, fderivWithin_inv', hasDerivAt_add_const_iff, hasDerivWithinAt_pow, hasDerivWithinAt_iff_hasFDerivWithinAt, differentiableAt_star_conj_iff, HasFDerivWithinAt.cpow, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, HasFPowerSeriesOnBall.compContinuousLinearMap, AffineSubspace.signedInfDist_eq_signedDist_of_mem, HasStrictFDerivAt.const_cpow, MeromorphicOn.divisor_prod, differentiableWithinAt_of_derivWithin_ne_zero, MeromorphicOn.divisor_intCast, HasFDerivWithinAt.csinh, RealRMK.rieszMeasure_le_of_eq_one, TensorProduct.inner_lid_lid, AnalyticAt.meromorphicOrderAt_nonneg, ContDiffMapSupportedIn.uniformSpace_eq_iInf, Function.locallyFinsuppWithin.logCounting_eventuallyLE, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, AnalyticOnNhd.eval_linearMap, RCLike.rank_le_two, hasDerivWithinAt_one, deriv_comp_add_const, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, HasFDerivAt.abs, WeakDual.isCompact_closedBall, RCLike.instMulPosReflectLE, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, TestFunction.coe_ofSupportedInCLM, PointedContMDiffMap.smul_def, CFC.sqrt_eq_one_iff, RCLike.reCLM_coe, HasFDerivWithinAt.abs, continuousSMul_closedBall_ball, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, RCLike.ofNat_mul_re, CStarAlgebra.norm_posPart_le, OrthonormalBasis.tensorProduct_repr_tmul_apply', HasLineDerivAt.tendsto_slope_zero, HasStrictDerivAt.to_local_left_inverse, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, DifferentiableAt.inner, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, IsGreatest.nnnorm_cfcₙ_nnreal, HasFDerivWithinAt.mul_const, UnitAddTorus.mFourier_zero, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd', hasDerivAtFilter_one, isScalarTower_sphere_sphere_sphere, MeromorphicOn.analyticAt_mem_codiscreteWithin, MeasureTheory.hasFDerivAt_convolution_right_with_param, ProbabilityTheory.IsGaussian.charFun_eq', InnerProductSpace.exists_of_rankOne_eq_rankOne, ProbabilityTheory.covarianceBilinDual_eq_covariance, smoothSheafCommRing.isUnit_stalk_iff, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, signedDist_zero, StieltjesFunction.measurable_measure, hasDerivAt_ofNat, SchwartzMap.postcompCLM_apply, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, CompactlySupportedContinuousMap.toRealLinearMap_apply, EuclideanSpace.coe_proj, Convex.norm_image_sub_le_of_norm_hasDerivWithin_le, Matrix.l2_opNNNorm_mulVec, 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, ProbabilityTheory.covarianceBilinDual_zero, HasStrictDerivAt.exp, RealRMK.integral_rieszMeasure, Finsupp.inner_sum, LinearMap.deriv, CFC.continuous_abs, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, HasFDerivWithinAt.inner, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, RCLike.I_eq_zero_or_im_I_eq_one, InnerProductSpace.toDualMap_apply, Bundle.Pretrivialization.continuousLinearMap.isLinear, UpperHalfPlane.hasStrictDerivAt_smul, logDeriv_div, HasDerivAt.cosh, continuousOn_cfc_nnreal, InnerProductSpace.gramSchmidt_orthogonal, DifferentiableAt.conj_conj, ContinuousLinearMap.adjoint_inner_left, fderivWithin_cos, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, InnerProductSpace.gramSchmidt_pairwise_orthogonal, EulerProduct.eulerProduct_tprod, ContDiffMapSupportedIn.seminorm_monoLM_le, Polynomial.derivWithin, ContinuousLinearMap.isBoundedBilinearMap, fdifferential_apply, HasFPowerSeriesWithinOnBall.sum, Matrix.l2_opNorm_diagonal, Real.hasStrictDerivAt_arcosh, LinearMap.extendTo𝕜_apply, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, HasDerivAt.sub, 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, 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, fderivWithin_ccos, Matrix.isSymmetric_toEuclideanLin_iff, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, cfc_nnreal_eq_real, 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, RCLike.uniqueNonUnitalContinuousFunctionalCalculus, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, cfcₙ_real_eq_complex, HasStrictDerivAt.smul, inner_eq_sum_norm_sq_div_four, fderiv_pow_ring, constFormalMultilinearSeries_apply_zero, hasDerivAt_tsum, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, MeromorphicOn.div, LinearIsometryEquiv.conjStarAlgEquiv_trans, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, Bundle.ContMDiffRiemannianMetric.pos, HasStrictFDerivAt.sqrt, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, Polynomial.abs_tendsto_atBot_iff, ContinuousLinearMap.bilinearComp_zero_right, WeakDual.isBounded_closure, IsContMDiffRiemannianBundle.exists_contMDiff, ContinuousMap.ideal_isMaximal_iff, MeasureTheory.SignedMeasure.singularPart_add, integral_conj, hasDerivAtFilter_add_const_iff, HasDerivWithinAt.arsinh, HasStrictDerivAt.csinh, hasDerivAt_jacobiTheta₂_fst, InnerProductSpace.rank_rankOne, ContMDiffOn.cle_arrowCongr, HasDerivWithinAt.scomp_of_eq, Module.Basis.coe_toOrthonormalBasis_repr_symm, LinearMap.toSeminorm_comp, HasDerivAt.exp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, IsometricContinuousFunctionalCalculus.toNonUnital, meromorphicNFAt_inv, DifferentiableOn.div_const, HasStrictFDerivAt.rpow, InnerProductSpace.toDual_apply_apply, RCLike.exists_norm_eq_mul_self, NumberField.InfinitePlace.ComplexEmbedding.conjugate_sign, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousMap.sup_mem_closed_subalgebra, ContinuousLinearMap.adjointAux_apply, Real.hasDerivAt_arcsin, cfcₙ_comp_re, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, Submodule.linearEquiv_det_reflection, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, HasDerivAt.csin, RCLike.add_conj, cfc_comp_im, differentiable_inner, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, CFC.exp_eq_normedSpace_exp, CFC.abs_natCast, HasLineDerivAt.tendsto_slope_zero_left, tendsto_nhds_iff_meromorphicOrderAt_nonneg, CStarAlgebra.isStrictlyPositive_iff_isStrictlyPositive_sqrt_and_eq_sqrt_mul_sqrt, RCLike.im_eq_conj_sub, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, LDL.lower_conj_diag, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', RKHS.kerFun_dense, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, InnerProductSpace.rankOne_def, HasDerivAt.smul_const, InnerProductSpace.Core.inner_self_eq_zero, HasDerivAtFilter.sub_const, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, Meromorphic.countable_compl_analyticAt, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, ContinuousLinearMap.coe_flipₗᵢ', Finset.norm_prod_one_add_sub_one_le, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, deriv_inv, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, 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, PadicInt.norm_lt_one_mul, Real.hasStrictDerivAt_cosh, contDiff_iff_continuous_differentiable, hasDerivAt_const, dslope_sub_smul_of_ne, iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, meromorphicOrderAt_pow_id_sub_const, Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, ProbabilityTheory.covarianceBilin_comm, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, HasStrictDerivAt.cosh, HasStrictFDerivAt.ccos, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, Complex.hasDerivAt_Gammaℂ_one, VectorField.lieBracket_fmul_left, integrable_cfcₙ, Matrix.l2_opNNNorm_conjTranspose, Summable.hasProdUniformlyOn_nat_one_add, Complex.hasStrictDerivAt_const_cpow, RCLike.ofReal_add, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, ContinuousMultilinearMap.prodL_apply, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, MeasureTheory.L2.integral_inner_eq_sq_eLpNorm, HasDerivAt.isBigO_sub, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousLinearMap.coe_flipMultilinearEquiv, HasDerivWithinAt.cpow, NonUnitalAlgHom.coe_Lmul, ContinuousMultilinearMap.norm_map_init_le, LeftInvariantDerivation.left_invariant'', SchwartzMap.compCLMOfAntilipschitz_apply, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, LinearIsometryEquiv.conjStarAlgEquiv_refl, HasDerivAt.tendsto_slope_zero_left, MeasureTheory.L2.inner_indicatorConstLp_one, hasStrictFDerivAt_iff_hasStrictDerivAt, RCLike.ofReal_neg, Matrix.PosSemidef.nonneg, contDiff_nat_iff_iteratedDeriv, eventually_singleton_add_smul_subset, RCLike.im_mul_ofReal, meromorphicNFOn_fun_inv, HasDerivAtFilter.hasGradientAtFilter, HasDerivAt.complexToReal_fderiv, ContinuousLinearMapWOT.isInducing_inducingFn, fderivWithin_fderivWithin_eq_of_eventuallyEq, EulerProduct.eulerProduct_completely_multiplicative_tprod, HasDerivAt.nonpos_of_antitone, StrongDual.polarSubmodule_eq_polar, HasDerivWithinAt.Ici_of_Ioi, summable_prod_mul_pow, PiTensorProduct.liftEquiv_symm_apply, Matrix.nonneg_iff_posSemidef, RCLike.summable_conj, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, norm_cfcₙ_lt_iff, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, meromorphicOrderAt_inv, extDerivWithin_fun_smul, RCLike.wInner_zero_right, fourierSubalgebra_separatesPoints, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, ftaylorSeries_fun_zero, HasDerivAt.add_const, cfcₙ_comp_im, meromorphicOrderAt_fun_prod, CovariantDerivative.affine_combination_toFun, hasFDerivAt_exp_smul_const', MeasureTheory.SignedMeasure.re_toComplexMeasure, fromTangentSpace_mfderiv_smul', HasDerivAt.of_isLittleO, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Matrix.exp_zsmul, SchwartzMap.postcompCLM_postcompCLM, Commute.cfcₙHom, iteratedDerivWithin_scomp_eq_sum_orderedFinpartition, Submodule.mem_orthogonal', ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, StarAlgHom.realContinuousMapOfNNReal_apply_comp_toReal, HasDerivAt.sub_const, LinearMap.toMatrixOrthonormal_symm_apply, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, ContinuousLinearMap.aestronglyMeasurable_comp₂, continuousSMul_sphere_closedBall, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt, SchwartzMap.smulLeftCLM_const, HasDerivWithinAt.rpow, RCLike.wInner_sub_left, LinearMap.toMatrix_innerₛₗ_apply, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, Matrix.permMatrix_l2_opNorm_le, ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff, MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt, Function.locallyFinsuppWithin.toClosedBall_divisor, PointwiseConvergenceCLM.equivWeakDual_symm_apply, PadicAlgCl.instUniformContinuousConstSMulPadic, hasDerivAt_of_tendstoUniformlyOn, RCLike.wInner_one_eq_inner, ContDiffAt.div, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, Complex.hasFDerivAt_cpow, Matrix.eigenvalues_self_mul_conjTranspose_nonneg, HasDerivWithinAt.nonneg_of_monotoneOn, MDifferentiableOn.prod, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, iteratedDerivWithin_zpow, inner_zero_left, HasStrictDerivAt.scomp_of_eq, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, HasStrictDerivAt.fun_finset_prod, Matrix.inner_toEuclideanCLM, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, dist_lineMap_right, ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, MeasureTheory.lpNorm_fun_natCast_mul, AffineMap.differentiableAt, hasStrictDerivAt_finCons', RCLike.neg_iff, isScalarTower_closedBall_ball_ball, contMDiffOn_baseSet_localFrame_coeff, Continuous.cfc_nnreal_of_mem_nhdsSet, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, meromorphicNFAt_iff_analyticAt_or, ContinuousLinearMap.isBoundedLinearMap_comp_right, Matrix.PosSemidef.toLinearMap₂'_zero_iff, RCLike.sqrt_eq_real_add_ite, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus, WeakDual.isSeqCompact_closedBall, TestFunction.lineDerivCLM_add, hasStrictDerivAt_finCons, PiTensorProduct.liftEquiv_apply, HasFDerivAt.cexp, extDerivFun_zero, WeakDual.isBounded_iff_isVonNBounded, HasDerivWithinAt.congr_of_eventuallyEq_of_mem, Matrix.l2_opNorm_conjTranspose, HasFDerivAt.ccos, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, HasDerivWithinAt.ccosh, fderivWithin_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul_apply', ProbabilityTheory.IndepFun.integral_fun_mul_eq_mul_integral, Matrix.instNonnegSpectrumClass, MultilinearMap.mkContinuousLinear_norm_le, WeakDual.exists_countable_separating, ContinuousLinearMap.deriv_of_bilinear, ContDiffWithinAt.inv, HasFDerivWithinAt.log, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, HasFDerivAt.clog, innerSLFlip_apply_apply, Continuous.cfcₙ_nnreal, ContinuousLinearMap.nnnorm_holder_apply_apply_le, RCLike.ofReal_mul_pos_iff, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, signedDist_smul_of_pos, finrank_euclideanSpace, FormalMultilinearSeries.norm_compContinuousLinearMap_le, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, HasDerivAtFilter.star, Summable.summable_log_norm_one_add, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, ContinuousLinearMap.bilinear_hasTemperateGrowth, UpperHalfPlane.σ_neg, IsBoundedBilinearMap.isBoundedLinearMap_deriv, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, ConvexOn.sSup_of_nat_affine_eq, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, inner_add_left, HasDerivAt.sinh, HasDerivAtFilter.scomp, Submodule.orthogonal_orthogonal_eq_closure, AnalyticOnNhd.aeval_mvPolynomial, ContDiffAt.derivWithin, contMDiff_smul, MeromorphicOn.divisor_ofNat, RCLike.toZeroLEOneClass, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Complex.hasDerivAt_cos, HasDerivWithinAt.fun_smul, ContDiffOn.derivWithin, TestFunction.lineDerivOp_eq_lineDerivCLM, signedDist_lineMap_lineMap, contMDiffOn_continuousLinearMapCoordChange, Function.FactorizedRational.meromorphicNFOn_univ, ContinuousMultilinearMap.curryFinFinset_apply_const, InnerProductSpace.enorm_rankOne, Orthonormal.inner_finsupp_eq_sum_right, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, 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, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, analyticOrderAt_mul, Module.Basis.equivFunL_apply, ContinuousAt.cfcₙ_nnreal, ContDiff.smulRight, ContinuousMultilinearMap.flipLinear_apply_apply, tendsto_integral_mul_one_add_inv_smul_sq_pow, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, PadicComplex.isNonarchimedean, LinearMap.hasDerivWithinAt, Real.fourier_fderiv, MeromorphicOn.inv_iff, FormalMultilinearSeries.comp_id, ContDiffOn.differentiableOn_iteratedDerivWithin, ContinuousMap.adjoin_id_eq_span_one_union, signedDist_vadd_left_swap, hasFTaylorSeriesUpTo_succ_nat_iff_right, ContinuousOn.cfc_nnreal_of_mem_nhdsSet, SchwartzMap.compSubConstCLM_zero, ContDiffMapSupportedIn.seminorm_top_le_iff, meromorphicTrailingCoeffAt_const, instCStarRingReal, HasFDerivWithinAt.norm_sq, CFC.abs_algebraMap, ordinaryHypergeometric_radius_top_of_neg_nat₂, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, ClosedSubmodule.iInf_orthogonal, LinearMap.tracePositiveLinearMap_apply, DifferentiableWithinAt.div_const, HasDerivAt.clm_comp, Matrix.isHermitian_gram, integral_inner, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, 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, hasStrictDerivAt_abs, Orthonormal.linearIsometryEquiv_symm_apply_single_one, Matrix.PosDef.commute_iff, AddChar.tendsto_eval_one_sub_pow, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, RCLike.finrank_le_two, NormedSpace.inclusionInDoubleDualWeak_apply, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, Bundle.RiemannianMetric.symm, PadicInt.norm_lt_one_add, dist_homothety_self, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, iteratedFDeriv_eq_equiv_comp, Complex.hasStrictDerivAt_log, sum_mul_eq_sub_integral_mul₀', meromorphicTrailingCoeffAt_inv, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, RCLike.nonneg_iff, MeromorphicAt.id, AbsoluteValue.IsEquiv.equivWithAbs_image_mem_nhds_zero, Real.hasDerivAt_cos, RCLike.ofReal_zero, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, HasDerivWithinAt.comp_hasDerivAt_of_eq, summable_pow_div_add, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_const_smul, HasDerivAt.fun_sub, IsStrictlyPositive.nnrpow, deriv_comp, HasFDerivAt.ccosh, Circle.star_addChar, fderiv_cos, Filter.Tendsto.cfcₙ, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, ContinuousMap.sup_mem_subalgebra_closure, hasDerivAt_exp_smul_const, HasDerivAtFilter.add_const, HasDerivAt.clog, hasFDerivWithinAt_comp_smul_smul_iff, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, RCLike.instContinuousStar, HasStrictDerivAt.congr_deriv, ProbabilityTheory.hasDerivAt_complexMGF, MeromorphicOn.divisor_fun_zpow, LinearMap.isPositive_toContinuousLinearMap_iff, meromorphicNFOn_inv, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', logDeriv_apply, iteratedDeriv_comp_const_smul, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, iteratedDerivWithin_one_div, DifferentiableWithinAt.fun_div, ContDiffWithinAt.derivWithin, FormalMultilinearSeries.changeOrigin_eval_of_finite, fderivWithin_fun_pow, RCLike.sqrt_map, iteratedFDerivWithin_two_apply', PadicInt.mahlerTerm_one, Polynomial.isEquivalent_atTop_div, HasDerivAt.const_smul, Real.hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, HasStrictFDerivAt.arctan, HasStrictDerivAt.hasStrictFDerivAt, RCLike.zero_re, RCLike.inner_tmul_eq, deriv.scomp, HasStrictDerivAt.add, AnalyticAt.analyticOrderAt_eq_natCast, inr_comp_cfcₙHom_eq_cfcₙAux, InnerProductSpace.gramSchmidt_triangular, CFC.monotoneOn_one_sub_one_add_inv_real, HasFDerivAt.multiset_prod, extDerivFun_add, dist_self_homothety, Matrix.l2_opNNNorm_mul, IsLocalFrameOn.eventually_eq_sum_coeff_smul, HasFDerivAt.mul_const, differentiableWithinAt_euclidean, unitary.spectrum_subset_circle, MeasureTheory.integral_prod_mul, iteratedDerivWithin_fun_id, HasFPowerSeriesAt.fderiv_eq, MeromorphicOn.divisor_apply, Matrix.isPositive_toEuclideanLin_iff, HasDerivAtFilter.scomp_of_eq, ContinuousWithinAt.cfcₙ_nnreal, padic_polynomial_dist, nnnorm_cfc_le_iff, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, HasDerivAt.scomp_hasDerivWithinAt_of_eq, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, VectorField.mlieBracketWithin_smul_left, exists_polynomial_near_continuousMap, RCLike.re_eq_add_conj, ContinuousLinearMap.isometry_iff_adjoint_comp_self, continuousMultilinearCurryFin0_apply, ContDiff.inner, HasGradientAt.differentiableAt, ContinuousMap.inf_mem_subalgebra_closure, PiTensorProduct.dualSeminorms_bounded, NormedSpace.exp_sum, CommCStarAlgebra.toStarModule, FormalMultilinearSeries.radius_neg, Function.FactorizedRational.analyticAt, HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, ProbabilityTheory.covarianceBilin_self_nonneg, HasDerivAt.comp_const_sub, HasDerivAt.norm_sq, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, HasDerivWithinAt.add, IsSelfAdjoint.conj_adjoint, ContinuousMultilinearMap.curryMidEquiv_apply, Summable.multipliableLocallyUniformlyOn_one_add, ContinuousMap.inf_mem_closed_subalgebra, HasStrictFDerivAt.continuousMultilinear_apply_const, ContDiffMapSupportedIn.monoLM_eq_zero, ValueDistribution.logCounting_mul_top_le, CFC.continuousOn_nnrpow, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, PadicInt.zmodRepr_spec, Polynomial.exists_roots_norm_sub_lt_of_norm_coeff_sub_lt, fderiv_exp, DoubleCentralizer.algebraMap_snd, WeakDual.polar_def, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, hasFiniteFPowerSeriesOnBall_const, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, contDiffAt_inv, iteratedFDerivWithin_succ_apply_left, EuclideanSpace.toLp_single, ProbabilityTheory.measurable_measure_stieltjesOfMeasurableRat, hasStrictFDerivAt_norm_sq, LinearMap.adjoint_toSpanSingleton, ContDiff.differentiable_iteratedDeriv, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, ContinuousMultilinearMap.norm_mkPiAlgebra, WeakDual.withSeminorms, hasDerivWithinAt_natCast, MeromorphicOn.divisor_fun_mul, MeromorphicOn.divisor_zpow, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, contDiffAt_prod, ContinuousLinearMap.bilinearComp_apply, derivWithin_pow_field, HasDerivAtFilter.isBigO_sub, Summable.multipliableLocallyUniformlyOn_nat_one_add, ContinuousMap.exists_mem_subalgebra_near_continuous_of_isCompact_of_separatesPoints, iteratedDeriv_comp_neg, range_cfcₙ_nnreal_eq_image_cfcₙ_real, RCLike.inner_apply, HasStrictDerivAt.log, ClosedSubmodule.mem_orthogonal, Matrix.posDef_iff_eq_conjTranspose_mul_self, Polynomial.differentiableAt_aeval, Filter.Tendsto.cfcₙ_nnreal, WeakDual.CharacterSpace.compContinuousMap_apply, HasDerivAt.fun_div, hasDerivAt_id, HasFTaylorSeriesUpToOn.fderivWithin, Real.hasDerivAt_rpow_const, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, continuousMultilinearCurryFin0_symm_apply_apply, HasDerivWithinAt.fun_const_smul, RCLike.normSq_mul, ContinuousLinearMap.ker_self_comp_adjoint, RCLike.hasSum_conj, Polynomial.isEquivalent_atBot_lead, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, FormalMultilinearSeries.id_comp, fderivWithin.log, ContinuousLinearMap.norm_map_tail_le, deriv_update, HasFPowerSeriesAt.restrictScalars, DifferentiableWithinAt.finset_prod, hasDerivAt_integral_of_dominated_loc_of_deriv_le, HasFDerivWithinAt.sinh, orthonormal_subtype_iff_ite, ProbabilityTheory.IndepFun.integral_fun_comp_mul_comp, Summable.hasProdLocallyUniformlyOn_one_add, ContinuousLinearMap.instStarModuleId, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, continuous_cfcHomSuperset_left, VectorField.mlieBracketWithin_smul_right, EisensteinSeries.vecMul_SL2_mem_gammaSet, meromorphicOrderAt_div, HasDerivWithinAt.const_mul, IsUnit.cfcNNRpow, HasFDerivAt.continuousAlternatingMap_apply_const, Summable.multipliableUniformlyOn_one_add, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, Continuous.cfc_of_mem_nhdsSet, norm_fderiv_iteratedFDeriv, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, Module.Dual.extendRCLikeₗ_apply, TestFunction.lineDerivCLM_eq_fderivCLM, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, meromorphicOrderAt_smul, ProbabilityTheory.covarianceBilinDual_self_nonneg, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, HasFDerivAt.log, HasDerivWithinAt.arctan, 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, mdifferentiableOn_baseSet_localFrame_coeff, HasStrictDerivAt.const_add, LinearMap.polar_gc, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, contDiffOn_succ_iff_deriv_of_isOpen, LeftInvariantDerivation.coe_add, signedDist_lineMap_left, ContMDiffAt.clm_precomp, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, inner_zero_right, ProbabilityTheory.covarianceBilin_real_self, ContinuousOn.cfc_nnreal, nnnorm_cfcₙ_nnreal_lt_iff, inner_self_eq_zero, Real.hasStrictDerivAt_arsinh, iter_deriv_pow', cfc_integral, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, Orthonormal.inner_right_finsupp, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, ValueDistribution.characteristic_sub_characteristic_inv, EuclideanSpace.basisFun_repr, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, inner_product_apply_eigenvector, HasFTaylorSeriesUpToOn.hasFDerivAt, RCLike.realLinearIsometryEquiv_symm_apply, hasStrictFDerivAt_inv, MeromorphicAt.eventually_analyticAt, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, MeromorphicOn.eventually_codiscreteWithin_analyticAt, ArithmeticFunction.IsMultiplicative.eulerProduct, VectorFourier.fourierSMulRight_apply, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, deriv_neg'', ContinuousLinearMap.isSelfAdjoint_iff', OrthonormalBasis.equiv_apply_euclideanSpace, RCLike.exists_norm_mul_eq_self, HasDerivWithinAt.clog, IsLocalFrameOn.coeff_apply_of_notMem, BumpCovering.exists_finset_toPartitionOfUnity_eventuallyEq, PadicInt.limNthHom_spec, ContinuousMultilinearMap.uncurryRight_apply, WithLp.unitization_nnnorm_inr, HasDerivAt.comp_const_add, nnnorm_cfc_nnreal_lt, InnerProductSpace.Core.inner_smul_ofReal_left, fderiv_inv, meromorphicNFAt_fun_prod, derivWithin_comp_mul_left, HasFDerivAt.exp, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, contMDiffAt_localFrame_coeff, ContinuousLinearMap.bilinearComp_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, HasDerivWithinAt.scomp_hasDerivAt_of_eq, isScalarTower_sphere_sphere_closedBall, signedDist_anticomm, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, 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, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, ContDiffOn.div, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, Submodule.isOrtho_span, IsStrictlyPositive.sqrt, ContDiff.iterate_deriv, HasDerivWithinAt.neg, MeromorphicOn.logDeriv, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, Complex.hasDerivAt_sqrt, HasStrictDerivAt.smul_const, hasDerivAt_iff_hasFDerivAt, ContDiffOn.fun_div, HasStrictDerivAt.sub, ContDiff.deriv', HasFiniteFPowerSeriesOnBall.neg, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, inner_add_add_self, sum_mul_eq_sub_integral_mul₁, HasDerivWithinAt.Ioo_of_Ioi, RCLike.complexLinearIsometryEquiv_symm_apply, PadicInt.continuous_addChar_of_value_at_one, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d, norm_derivWithin_eq_norm_fderivWithin, UpperHalfPlane.denom_neg, differentiableWithinAt_dslope_of_ne, LinearMap.polar_weak_closed, hasGradientAt_iff_tendsto, WeakDual.isClosed_closedBall, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, AffineMap.derivWithin, cfcₙ_real_eq_nnreal, HasDerivAt.arsinh, Meromorphic.fun_zpow, cfc_comp_re, ProbabilityTheory.instIsProbabilityMeasureCondCDF, fderiv_ccos, InnerProductSpace.Core.inner_sub_sub_self, Meromorphic.fun_mul, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, nnnorm_cfc_nnreal_le, Matrix.PosSemidef.kronecker, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, inner_add_right, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, fdifferential_comp, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, RCLike.sqrt_neg_one, FormalMultilinearSeries.le_comp_radius_of_summable, ContinuousLinearMap.le_opNorm₂, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, InnerProductSpace.Core.inner_zero_right, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, ContinuousLinearMap.norm_uncurryMid, RCLike.wInner_const_right, NumberField.InfinitePlace.Completion.instIsTopologicalRing, InnerProductSpace.rankOne_def', ContinuousLinearMap.opNorm_mul_le, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, Continuous.cfc_nnreal, hasStrictDerivAt_abs_neg, HasFDerivAt.comp_hasDerivWithinAt, HasFPowerSeriesOnBall.tendstoUniformlyOn', Matrix.IsHermitian.eigenvectorUnitary_apply, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, ContinuousOn.cfc_of_mem_nhdsSet, fderiv_apply_one_eq_deriv, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, EulerProduct.eulerProduct_hasProd_mulIndicator, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, nnnorm_cfc_nnreal_le_iff, HasFPowerSeriesOnBall.sub, ContinuousLinearMap.IsPositive.inner_nonneg_left, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, TestFunction.monoCLM_eq_of_scalars, HasFDerivAt.inner, HasDerivAt.rpow, meromorphicTrailingCoeffAt_id_sub_const, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, PadicComplex.instIsScalarTowerPadicPadicAlgCl, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, RCLike.ofNat_mul_im, LinearMap.toMatrixOrthonormal_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, fderivWithin_exp, CFC.sqrt_sq, deriv_inv'', OrthogonalFamily.inner_sum, NormedSpace.vonNBornology_eq, ProbabilityTheory.covarianceBilin_apply_pi, cfcₙAux_injective, MeromorphicNFAt.zpow, EuclideanSpace.inner_eq_star_dotProduct, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, ContinuousLinearMap.isometry_mul, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', isCoveringMapOn_npow, NonUnitalCommCStarAlgebra.toStarModule, logDeriv_eq_zero_of_not_differentiableAt, Meromorphic.pow, CFC.rpow_sqrt_nnreal, LeftInvariantDerivation.coe_neg, Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, signedDist_triangle_right, HasStrictFDerivAt.continuousAlternatingMap_apply, PadicInt.fwdDiff_iter_le_of_forall_le, Valued.integer.coe_span_singleton_eq_closedBall, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, HasDerivAtFilter.congr_of_eventuallyEq, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, inner_sub_left, HasFTaylorSeriesUpToOn.add, MeasureTheory.dist_convolution_le', DifferentiableAt.of_dslope, AnalyticOnNhd.eval_polynomial, HasFDerivWithinAt.rpow_const, differentiableOn_neg, fderivWithin_multiset_prod, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, LinearMap.continuous_of_nonzero_on_open, HasDerivWithinAt.csin, DifferentiableWithinAt.clm_comp, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, abs_signedDist_eq_dist_iff_vsub_mem_span, MDifferentiableOn.cle_arrowCongr, InnerProductSpace.innerSL_norm, MultilinearMap.mkContinuousMultilinear_norm_le', toWeakSpace_closedConvexHull_eq, cfcₙ_mem, Unitization.norm_def, ContinuousMap.toNNReal_mul_add_neg_mul_add_mul_neg_eq, Submodule.det_reflection, HasStrictDerivAt.const_smul, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, deriv_neg', HasDerivAt.fun_sum, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, second_derivative_symmetric, ContinuousAlternatingMap.curryLeft_same, ContinuousMultilinearMap.curryRight_apply, Profinite.NobelingProof.GoodProducts.finsuppSum_mem_span_eval, AnalyticAt.of_meromorphicOrderAt_pos, MeromorphicOn.fun_zpow, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, HasFDerivAt.sinh, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, HasFDerivAt.comp_hasDerivWithinAt_of_eq, CPolynomialOn.deriv, MeromorphicAt.pow, AnalyticAt.iterated_deriv, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, ContinuousMapZero.toNNReal_mul_add_neg_mul_add_mul_neg_eq, ContinuousLinearMap.norm_extendTo𝕜', HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, AnalyticOnNhd.deriv_of_isOpen, ContinuousMapZero.toContinuousMapHom_toNNReal, Valued.isNonarchimedean_norm, Submodule.inner_left_of_mem_orthogonal, HasDerivAtFilter.const_add, HasDerivWithinAt.of_notMem_tsupport, differentiableAt_iff_comp_const_sub, MDifferentiableAt.clm_precomp, MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner, ContDiffMapSupportedIn.postcompCLM_apply, SchwartzMap.compSubConstCLM_comp, HasDerivWithinAt.mono_of_mem_nhdsWithin, DoubleCentralizer.coeHom_apply, summable_norm_pow_mul_geometric_div_one_sub, ContinuousAlternatingMap.curryLeft_zero, signedDist_neg, ProbabilityTheory.covarianceBilin_apply_basisFun, ContinuousMultilinearMap.analyticOn_uncurry_of_linear, ContinuousAlternatingMap.restrictScalarsLI_apply, Complex.restrictScalars_toSpanSingleton, ProbabilityTheory.measure_cdf, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, MeromorphicOn.countable_compl_analyticAt_inter, MeromorphicOn.zpow, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, HasFPowerSeriesOnBall.tendsto_partialSum, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, HasDerivWithinAt.Ioi_of_Ioo, locallyFinsuppWithin.logCounting_divisor, HasDerivWithinAt.fun_mul, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, Asymptotics.isTheta_const_mul_right, hasFDerivAt_exp_smul_const_of_mem_ball, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, inner_eq_zero_of_left, HasFPowerSeriesWithinAt.prod, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, HasDerivWithinAt.pow', VectorFourier.contDiff_fourierIntegral, ContinuousLinearMap.adjoint_comp_self_injective_iff, fourierSubalgebra_coe, FormalMultilinearSeries.leftInv_coeff_one, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, Matrix.exp_conj, MeromorphicAt.prod, Polynomial.toAddCircle_monomial_eq_smul_fourier, Matrix.toLin_conjTranspose, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, fderiv_deriv, Matrix.IsHermitian.spectral_theorem, DifferentiableOn.finset_prod, integrableOn_cfcₙ, Complex.hasStrictDerivAt_sin, hasFPowerSeriesAt_pi_iff, norm_cfcₙ_le, meromorphicOrderAt_zpow_id_sub_const, hasDerivWithinAt_univ, MulChar.star_apply', ValueDistribution.logCounting_zero_mul_eventually_le, signedDist_vsub_self_rev, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, HasFDerivAt.rpow_const, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, contDiffAt_inner, ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints, HasFPowerSeriesAt.hasFDerivAt, lp.summable_inner, WeakDual.isClosed_polar, spec_cfcₙAux, iteratedDerivWithin_pow, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, ContinuousOn.cfcₙ_nnreal', Submodule.inner_right_of_mem_orthogonal, hasFDerivAt_exp_smul_const, Differentiable.inner, LinearMap.IsPositive.trace_nonneg, LinearMap.mkContinuous₂_norm_le, signedDist_linear_apply, LeftInvariantDerivation.map_smul, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, HasDerivAt.hasFDerivAt_equiv, HasStrictFDerivAt.const_rpow, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, 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, fderiv_finset_prod, ContinuousLinearMap.self_comp_adjoint_injective_iff, CompactlySupportedContinuousMap.toReal_add, deriv_single, ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_Iic, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, hasFDerivWithinAt_euclidean, HasFPowerSeriesWithinAt.restrictScalars, NumberField.HeightOneSpectrum.instFiniteAdicCompletionRingOfIntegers, Matrix.PosDef.isStrictlyPositive, Module.Basis.parallelepiped_eq_map, Asymptotics.IsEquivalent.exists_eq_mul, range_cfc_nnreal, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_blockTriangular, ContDiffMapSupportedIn.norm_apply_le_seminorm, RCLike.re_mul_ofReal, nnnorm_cfc_le, fderiv_continuousAlternatingMap_apply_apply, HasDerivWithinAt.fun_sub, PiTensorProduct.mapLMultilinear_apply_apply, iteratedDeriv_comp_two, HasStrictFDerivAt.cos, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, LinearMap.mem_polar_singleton, ContinuousMap.setOfIdeal_eq_compl_singleton, signedDist_self, Complex.hasDerivAt_cosh, isBoundedBilinearMap_apply, FormalMultilinearSeries.analyticOnNhd, meromorphicNFOn_prod, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, ProbabilityTheory.measure_stieltjesOfMeasurableRat_univ, RCLike.ofRealCLM_norm, PadicInt.zmodRepr_zero, Matrix.IsHermitian.eigenvectorUnitary_coe, HasStrictDerivAt.comp, Complex.sqrt_map, hasStrictFDerivAt_ringInverse, signedDist_vsub_self, ContinuousLinearMap.mul_apply', fromTangentSpace_mfderiv_smul, MeasureTheory.SignedMeasure.rnDeriv_smul, integrable_cfc', MeromorphicNFOn.zero_set_eq_divisor_support, LinearMap.instStarModuleId, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, NumberField.inverse_basisMatrix_mulVec_eq_repr, signedDist_smul, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, RCLike.im_tsum, HasFDerivWithinAt.arsinh, InnerProductSpace.rankOne_comp_rankOne, MeasureTheory.convolution_lsmul_swap, MeromorphicOn.circleAverage_log_norm, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, Real.hasStrictDerivAt_arctan, Matrix.PosSemidef.det_nonneg, HasDerivAtFilter.comp_of_eq, CFC.abs_ofNat, parallelogram_law, Submodule.orthogonal_closure', AnalyticAt.hasFPowerSeriesAt, hasDerivAtFilter_finCons', MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, Asymptotics.IsTheta.listProd, nnnorm_apply_le_nnnorm_cfc, TestFunction.fderivCLM_eq_of_scalars, DifferentiableAt.comp_semilinear₁, CFC.negPart_one, Matrix.toEuclideanLin_eq_toLin, StrongDual.toLpₗ_of_not_memLp, MeromorphicAt.meromorphicTrailingCoeffAt_smul, analyticOrderAt_id, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, BoundedContinuousFunction.instIsBoundedSMul_1, Continuous.cfc, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, hasStrictFDerivAt_finset_prod, TestFunction.lineDerivCLM_eq_of_scalars, AnalyticOnNhd.deriv, instContMDiffInv₀ModelWithCornersSelf, deriv_zpow, InnerProductSpace.rankOne_comp, HasDerivWithinAt.comp_hasFDerivAt, inner_eq_neg_one_iff_of_norm_eq_one, Submodule.mem_orthogonal, StrongDual.mem_polarSubmodule, MeromorphicAt.fun_prod, derivWithin_inv', MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, FormalMultilinearSeries.apply_eq_prod_smul_coeff, EuclideanSpace.basisFun_inner, ContinuousMapZero.toNNReal_add_add_neg_add_neg_eq, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, HasDerivWithinAt.scomp, hasFPowerSeriesWithinAt_pi_iff, MeromorphicNFOn.fun_zpow, DifferentiableWithinAt.div, UnitAddTorus.hasSum_mFourier_series_of_summable, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, hasDerivAt_iff_isLittleO_nhds_zero, inner_smul_right, SchwartzMap.tsupport_smulLeftCLM_subset, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, HasFDerivWithinAt.continuousMultilinear_apply_const, cfcₙHom_real_eq_restrict, CFC.abs_algebraMap_nnreal, EuclideanSpace.ofLp_single, Function.FactorizedRational.log_norm_meromorphicTrailingCoeffAt, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, PiTensorProduct.liftIsometry_comp_mapL, Function.locallyFinsuppWithin.logCounting_divisor_eq_circleAverage_sub_const, UnitAddTorus.mFourierSubalgebra_separatesPoints, HasStrictDerivAt.fun_const_smul, RCLike.nonneg_iff_exists_ofReal, HasDerivWithinAt.congr_deriv, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, HasFPowerSeriesOnBall.r_eq_top_of_exists, Commute.cfcHom, Real.hasDerivAt_cosh, HasFDerivAt.sin, continuousMultilinearCurryLeftEquiv_apply, LeftInvariantDerivation.coe_smul, HasFPowerSeriesAt.deriv, DifferentiableOn.div, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, cfc_apply_mem_elemental, HasFDerivAt.csin, Complex.hasDerivAt_sin, RCLike.ofReal_nonpos, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, hfdifferential_apply, AnalyticAt.exists_eq_sum_add_pow_mul, iteratedDerivWithin_comp_const_smul, range_cfcₙ_subset, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Matrix.isSymmetric_toLin_iff, CompactlySupportedContinuousMap.toNNRealLinear_apply, ContinuousLinearMap.intervalIntegral_apply, MeromorphicAt.fun_mul, HasFDerivWithinAt.comp_hasDerivWithinAt, hasDerivAt_intCast, HasDerivWithinAt.inv, PiTensorProduct.liftIsometry_symm_apply, nnnorm_cfcₙHom, fderivWithin_continuousAlternatingMap_apply_apply, SchwartzMap.smulLeftCLM_neg, ContinuousLinearMap.opNNNorm_mul, ContinuousMultilinearMap.iteratedFDerivComponent_apply, InnerProductSpace.Core.inner_mul_symm_re_eq_norm, MeasureTheory.integral_fin_nat_prod_eq_prod, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, NormedField.completeSpace_iff_isComplete_closedBall, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, CFC.nnnorm_rpow, FormalMultilinearSeries.leftInv_comp, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, HasFPowerSeriesAt.const_smul, iteratedFDeriv_succ_eq_comp_right, ContinuousOn.cfcₙ, RCLike.inv_pos_of_pos, derivWithin_comp, ContinuousMultilinearMap.changeOriginSeries_support, ContDiffMapSupportedIn.seminorm_apply, LinearMap.tripolar_eq_polar, RCLike.toIsOrderedAddMonoid, OrthogonalFamily.eq_ite, AnalyticAt.analyticOrderAt_comp, Complex.hasStrictDerivAt_exp, MeromorphicOn.log_norm_meromorphicTrailingCoeffAt_extract_zeros_poles, analyticAt_comp_iff_of_deriv_ne_zero, logDeriv_inv, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, signedDist_smul_of_neg, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, VectorField.lieBracket_smul_left, HasStrictDerivAt.const_cpow, DoubleCentralizer.algebraMap_fst, differentiableOn_euclidean, RCLike.reLm_coe, hasDerivWithinAt_diff_singleton, fderiv_continuousLinearEquiv_comp, deriv_clm_comp, Convex.norm_image_sub_le_of_norm_deriv_le, ContinuousLinearMap.adjoint_toSpanSingleton, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, ContDiffMapSupportedIn.structureMapCLM_top_apply, tsum_prod_pow_eq_tsum_sigma, WeakDual.metrizable_of_isCompact, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Real.hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, fderiv_norm_smul, spectrum.hasFDerivAt_resolvent, PadicComplex.coe_zero, HasFDerivAt.hasFDerivAt_norm_smul, meromorphicNFAt_prod, CStarAlgebra.isStrictlyPositive_iff_isUnit_sqrt_and_eq_sqrt_mul_sqrt, deriv_comp_of_eq, contDiff_prod', HasFiniteFPowerSeriesOnBall.eq_partialSum', cfc_comp_norm, EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd, CFC.abs_intCast, apply_le_nnnorm_cfc_nnreal, MeromorphicOn.AnalyticOnNhd.divisor_nonneg, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, IsBoundedBilinearMap.toContinuousLinearMap_apply, HasFPowerSeriesOnBall.pi, NormedSpace.isCompact_closure_of_isBounded, HasFPowerSeriesWithinOnBall.fderivWithin_eq, ContinuousMultilinearMap.piₗᵢ_symm_apply, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, Commute.cfc, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, HasFDerivWithinAt.sqrt, ContDiffMapSupportedIn.structureMapLM_top_apply, ContinuousLinearMap.ker_adjoint_comp_self, AnalyticAt.analyticOrderAt_ne_top, MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq, SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, range_cfc_nnreal_eq_image_cfc_real, signedDist_vadd_right_swap, ContinuousOn.cfcₙ_of_mem_nhdsSet, HasDerivAt.const_mul, HasDerivWithinAt.congr, SchwartzMap.integralCLM_apply, MeasureTheory.lpNorm_one, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, hasDerivAt_one, HasDerivAtFilter.fun_neg, HasStrictFDerivAt.hasStrictDerivAt, Polynomial.fourierCoeff_toAddCircle_natCast, PadicInt.limNthHom_add, fderivWithin_sqrt, RCLike.norm_sq_re_conj_add, ContinuousMap.spectrum_eq_range, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, EuclideanSpace.inner_basisFun_real, innerSLFlip_apply, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, fderivWithin_derivWithin, hasDerivAt_const_mul, HasDerivWithinAt.ccos, RCLike.sqrt_neg_I, hasLineDerivAt_iff_tendsto_slope_zero, InnerProductSpace.toContinuousLinearMap_toDualMap, MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, meromorphicNFOn_finprod, fderiv_continuousMultilinearMapCompContinuousLinearMap, InnerProductSpace.Core.inner_sub_left, ProbabilityTheory.iIndepFun.integral_prod_eq_prod_integral, IsSelfAdjoint.commute_cfcₙHom, HasDerivWithinAt.smul_const, Polynomial.fderivWithin_aeval, fderiv_sinh, norm_iteratedFDeriv_prod_le, inner_eq_ofReal_norm_sq_left_iff, contDiff_nat_iff_continuous_differentiable, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Submodule.topologicalClosure_eq_top_iff, hasDerivAt_abs, Finset.analyticAt_prod, 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, PadicInt.instIsAdicCompleteMaximalIdeal, Polynomial.hasDerivAt, ContinuousLinearMap.opNorm_lsmul_le, RCLike.conj_I, ProbabilityTheory.covarianceBilin_of_not_memLp, MultilinearMap.mkContinuousMultilinear_norm_le, tendsto_tprod_one_add_of_dominated_convergence, WeakDual.CharacterSpace.norm_le_norm_one, ContDiffMapSupportedIn.monoCLM_eq_zero, contDiff_inner, Matrix.linfty_opNorm_toMatrix, hasDerivAt_natCast, cfcL_integral, HasDerivAtFilter.fun_sub, HasDerivWithinAt.union, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, Real.hasStrictDerivAt_cos, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, HasDerivWithinAt.add_const, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, iter_deriv_inv, Matrix.frobenius_norm_mul, Matrix.star_dotProduct_gram_mulVec, ContinuousLinearMap.norm_compL_le, RCLike.hasSum_iff, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, ContDiff.inv, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, RCLike.inv_def, MeromorphicOn.fun_mul, HasDerivWithinAt.congr_set, RCLike.sqrt_I, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, Matrix.PosDef.kronecker, StarAlgHom.realContinuousMapOfNNReal_injective, hasDerivWithinAt_zpow, HasFDerivWithinAt.arctan, OrthogonalFamily.range_linearIsometry, Monotone.deriv_nonneg, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, fderiv_continuousMultilinear_apply_const, derivWithin_fun_finset_prod, HasDerivWithinAt.smul, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, SchwartzMap.integral_smul_lineDerivOp_right_eq_neg_left, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousLinearMap.opNNNorm_mul_flip_apply, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, HasFDerivWithinAt.rpow, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, Matrix.instIsOrderedAddMonoid, HasDerivWithinAt.mono, Submodule.IsOrtho.inner_eq, HasMFDerivAt.prod, fderivWithin_csin, ContinuousMultilinearMap.curryMid_apply, iteratedDeriv_eq_iteratedFDeriv, norm_cfc_le, HasFDerivWithinAt.comp_hasDerivAt, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, WeakDual.CharacterSpace.mem_spectrum_iff_exists, ClosedSubmodule.sInf_orthogonal, NNReal.orderIsoRpow_symm_eq, HasDerivAt.mul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, Matrix.PosSemidef.re_dotProduct_nonneg, ContMDiff.clm_postcomp, MeasureTheory.lpNorm_div_natCast, Polynomial.isBoundedUnder_abs_atTop_iff, instSMulCommClass_sphere_ball_ball, CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, CFC.spectrum_abs, fderivWithin_continuousAlternatingMap_apply_const, Finset.analyticOn_fun_prod, signedDist_vadd_left, Differentiable.fun_finset_prod, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, MDifferentiableWithinAt.clm_postcomp, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, HasDerivWithinAt.const_sub, HasDerivWithinAt.const_smul, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, RCLike.ofReal_pos, HasDerivWithinAt.hasDerivAt, DoubleCentralizer.coe_eq_algebraMap, ContinuousLinearMap.opNorm_mul_apply_le, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, RCLike.wInner_zero_left, deriv_pow_field, ContinuousLinearMap.orthogonal_range, HasFiniteFPowerSeriesAt.add, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', Real.instContinuousMapUniqueHom, MeromorphicOn.min_divisor_le_divisor_add, HasDerivWithinAt.rpow_const, deriv_comp_neg, ProbabilityTheory.covarianceBilin_apply, meromorphicOrderAt_pow, instSymmEqInnerOfNat, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, ProbabilityTheory.measure_stieltjesOfMeasurableRat_Iic, HasFDerivAt.cos, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, TestFunction.fderivCLM_apply_of_gt, Orthonormal.inner_finsupp_eq_zero, hasDerivAt_gronwallBound, hasDerivWithinAt_const_add_iff, deriv_finset_prod, logDeriv_prod, ContinuousMap.comp_attachBound_mem_closure, ContinuousLinearMap.spectralRadius_eq_nnnorm, MeasureTheory.convolutionExistsAt_iff_integrable_swap, meromorphicTrailingCoeffAt_prod, deriv_div, range_cfcHom_le, Continuous.cfcₙ', PadicInt.norm_sub_modPart, hasDerivAt_norm_rpow, ContinuousLinearMap.spectrum_eq, inner_sub_right, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, PadicInt.valuation_p_pow_mul, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, HasStrictDerivAt.fun_sub, ContinuousLinearMap.isPositive_iff, HasDerivWithinAt.star, Unitization.isUniformEmbedding_addEquiv, AnalyticAt.analyticAt_localInverse, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, Meromorphic.logDeriv, signedDist_apply_linear_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, InnerProductSpace.Core.inner_add_right, MeromorphicOn.extract_zeros_poles, Matrix.IsHermitian.cfcAux_id, ContinuousOn.cfc', HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, ContinuousLinearMap.norm_bilinearRestrictScalars, RCLike.inv_pos, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, ContinuousMap.adjoin_id_eq_span_one_add, LeftInvariantDerivation.map_neg, meromorphicAt_mul_iff_of_ne_zero, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, RCLike.real_smul_ofReal, BoundedContinuousFunction.integral_add_const, cfcₙ_norm_sq_nonneg, AnalyticOnNhd.sum_divisor_le, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, contDiffOn_of_continuousOn_differentiableOn_deriv, AffineSubspace.signedInfDist_singleton, HasFPowerSeriesWithinOnBall.neg, norm_deriv_eq_norm_fderiv, PadicInt.fwdDiff_mahlerSeries, HasFDerivAt.const_rpow, ContinuousLinearMap.bilinearComp_zero_left, HasStrictDerivAt.finCons, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, hasFPowerSeriesWithinOnBall_pi_iff, HasDerivAt.fun_smul, hasDerivAt_zero, SchwartzMap.fderivCLM_fourier_eq, MeasureTheory.L2.mem_L1_inner, Bundle.ContinuousRiemannianMetric.pos, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, hasSum_fourier_series_of_summable, MeromorphicOn.negPart_divisor_add_le_max, IsCoercive.continuousLinearEquivOfBilin_apply, fun_meromorphicOrderAt_zpow_id_sub_const, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivAtFilter_iff_hasFDerivAtFilter, hasDerivWithinAt_inter', CFC.abs_of_mem_unitary, Complex.hasStrictDerivAt_cpow_const, HasDerivWithinAt.scomp_hasDerivAt, MDifferentiableOn.clm_precomp, RCLike.I_mul_re, VectorField.lieBracketWithin_smul_right, ContDiffWithinAt.div, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', PadicInt.pow_p_dvd_int_iff, ContDiff.iterate_deriv', 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, HasCompactSupport.hasDerivAt_convolution_left, PadicInt.continuous_multichoose, Polynomial.hasStrictDerivAt, HasDerivWithinAt.cexp, Function.locallyFinsuppWithin.logCounting_mono, deriv_clm_apply, Real.hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, contDiffWithinAt_prod, HasFPowerSeriesWithinOnBall.add, Commute.cfcₙ, derivWithin_fun_pow, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, HasDerivWithinAt.Ioi_of_Ici, ContinuousLinearMap.adjointAux_inner_right, HasDerivWithinAt.Ioi_iff_Ioo, VectorField.mpullback_mfderivWithin_apply_smul, HasMFDerivWithinAt.mul, Bundle.RiemannianMetric.pos, HilbertBasis.repr_self, HasStrictFDerivAt.clm_apply, ContDiffMapSupportedIn.fderivLM_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', CFC.sqrt_eq_cfc, continuousMultilinearCurryRightEquiv_symm_apply', InnerProductSpace.Core.inner_self_of_eq_zero, HasFDerivAt.arsinh, ContinuousAt.cfcₙ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, UpperHalfPlane.det_J, WeakDual.isCompact_of_bounded_of_closed, ContDiffMapSupportedIn.continuousSMul, Real.hasStrictDerivAt_sin, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, BoundedContinuousFunction.add_norm_nonneg, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, MeromorphicOn.divisor_smul, iteratedDerivWithin_eq_equiv_comp, Polynomial.differentiableAt, PadicInt.instNormMulClass, nnnorm_cfcₙ_le_iff, HasDerivAt.const_add, iteratedFDerivWithin_two_apply, extDerivWithin_smul, fderiv_ccosh, ContDiffMapSupportedIn.seminorm_postcompLM_le, inner_mul_symm_re_eq_norm, DoubleCentralizer.coe_fst, Filter.Tendsto.cfc_nnreal, HasDerivAt.prodMk, HasStrictFDerivAt.cpow, IsSelfAdjoint.instContinuousFunctionalCalculus, CompactlySupportedContinuousMap.toReal_smul, fderiv_fun_mul, ContDiffWithinAt.inner, Submodule.adjoint_orthogonalProjection, CFC.abs_eq_cfcₙ_norm, continuousOn_cfcₙ_nnreal, ContinuousMapZero.instCStarRing, iteratedDeriv_comp_add_const, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', CurveIntegrable.smul, ContinuousLinearMap.hasFDerivAt_of_bilinear, Polynomial.abs_tendsto_atBot, FormalMultilinearSeries.min_radius_le_radius_add, CFC.abs_sq, hasStrictDerivAt_one, MeromorphicOn.fun_div, ValueDistribution.logCounting_top_mul_le, HasDerivWithinAt.of_isLittleO, signedDist_right_lineMap, contMDiffAt_iff_localFrame_coeff, StrongDual.extendRCLike_apply, ContinuousLinearMap.closed_range_of_antilipschitz, Polynomial.exists_monic_and_natDegree_eq_and_norm_map_algebraMap_coeff_sub_lt, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, 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, ContDiffMapSupportedIn.continuous_iff_comp_order_le, InnerProductSpace.inner_gramSchmidtOrthonormalBasis_eq_zero, ContinuousAlternatingMap.curryLeft_add, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', RCLike.mul_im, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, VectorFourier.fourierPowSMulRight_apply, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, 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, PadicInt.norm_sub_zmodRepr_lt_one, inner_eq_zero_symm, MeromorphicNFOn.zpow, ftaylorSeries_zero, Function.FactorizedRational.extractFactor, integrableOn_mul_sum_Icc, PadicInt.mahlerEquiv_apply, Polynomial.div_tendsto_atTop_zero_of_degree_lt, Orthonormal.orthogonalFamily, HasDerivWithinAt.isLittleO, HasDerivAt.rpow_const, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, contDiffOn_succ_iff_derivWithin, 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, limit_zero_of_norm_tendsto_zero, hasStrictDerivAt_exp, ContinuousLinearMap.IsPositive.adjoint_conj, logDeriv_const_mul, HasDerivAt.div, HasDerivAt.continuousAt_div, IsConformalMap.smul, isCoveringMap_npow, Irreducible.maximalIdeal_eq_closedBall, HasDerivWithinAt.pow, Complex.instContinuousMapUniqueHom, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular, PadicInt.norm_add_eq_max_of_ne, Complex.hasDerivAt_Gamma_one, intervalIntegral.integral_smul_const, BumpCovering.exists_finset_toPOUFun_eventuallyEq, Polynomial.deriv, FormalMultilinearSeries.derivSeries_eq_zero, HilbertBasis.summable_inner_mul_inner, TestFunction.lineDerivCLM_smul, Polynomial.div_tendsto_zero_of_degree_lt, ContinuousLinearMap.isPositive_iff', ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, EisensteinSeries.vecMulSL_gcd, HasDerivAtFilter.isEquivalent_sub, Real.hasDerivAt_tan_of_mem_Ioo, ContinuousLinearMap.star_eq_adjoint, AffineMap.differentiableOn, FormalMultilinearSeries.comp_rightInv, ContinuousMultilinearMap.curryLeft_apply, iteratedDeriv_comp_three, HasStrictDerivAt.fun_neg, Polynomial.hasFDerivWithinAt_aeval, HasFPowerSeriesWithinAt.neg, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one, CStarAlgebra.isStrictlyPositive_TFAE, continuousOn_cfcₙ_setProd, Meromorphic.fun_prod, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, Differentiable.div_const, fderiv_sqrt, derivWithin_comp_add_const, hasStrictDerivAt_inv, Polynomial.contDiff_aeval, RCLike.wInner_one_const_left, logDeriv_fun_zpow, AlternatingMap.mkContinuousLinear_norm_le, fun_meromorphicOrderAt_mul, ProperCone.hyperplane_separation_of_notMem, HasStrictDerivAt.ccosh, RCLike.ofReal_mul_neg_iff, LinearMap.continuous_of_isClosed_ker, fderiv_clm_apply, ContinuousAlternatingMap.curryLeftLI_apply, LDL.diag_eq_lowerInv_conj, deriv_comp_const_add, iteratedDerivWithin_id, HasDerivAt.iterate, RCLike.norm_sq_re_add_conj, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, ContDiffOn.div_const, ContinuousLinearMap.norm_compSL_le, TestFunction.monoCLM_apply, MeromorphicAt.zpow, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ContDiffMapSupportedIn.withSeminorms, MeasureTheory.withDensityᵥ_smul, CStarAlgebra.norm_negPart_le, LinearMap.polar_isClosed, innerₛₗ_apply, cfcₙ_nnreal_eq_real, deriv_inner_apply, CFC.sqrt_algebraMap, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, CFC.posPart_algebraMap, ContMDiffMap.smul_comp', hasStrictFDerivAt_list_prod, CFC.sqrt_one, Summable.hasProdLocallyUniformlyOn_nat_one_add, InnerProductSpace.isIdempotentElem_rankOne_self_iff, HasDerivAt.tendsto_slope_zero, fderivWithin_continuousLinearEquiv_comp, HasDerivAtFilter.hasFDerivAtFilter, Polynomial.abs_isBoundedUnder_iff, hasDerivAtFilter_pi, StrongDual.toLp_apply, ContinuousLinearMap.coe_flipₗᵢ, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, Function.locallyFinsuppWithin.logCounting_le, DifferentiableWithinAt.fun_finset_prod, analyticAt_finprod, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, CFC.nnrpow_eq_cfcₙ_real, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, InnerProductSpaceable.innerProp, instSMulCommClass_closedBall_closedBall_ball, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, ProbabilityTheory.measure_condCDF_Iic, polynomialFunctions.topologicalClosure, FormalMultilinearSeries.changeOrigin_eval, Unitization.nndist_inr, LinearMap.toSeminorm_ball_zero, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, iter_deriv_inv_linear_sub, MeromorphicOn.pow, RCLike.imCLM_coe, IsSelfAdjoint.adjoint_conj, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero, HasDerivAt.inner, HasFPowerSeriesAt.prod, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, hasStrictDerivAt_natCast, Complex.hasDerivAt_Gamma_one_half, SimpleGraph.lapMatrix_mulVec_eq_zero_iff_forall_reachable, ProbabilityTheory.measurable_measure_condCDF, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, LeftInvariantDerivation.toDerivation_injective, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, MeasureTheory.lpNorm_natCast_mul, Meromorphic.finprod, AlternatingMap.mkContinuousAlternating_norm_le_max, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, norm_apply_le_norm_cfc, hasDerivAt_finCons', HasStrictDerivAt.hasDerivAt, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, AffineSubspace.signedInfDist_def, isScalarTower_sphere_ball_ball, iteratedDeriv_id, HasFPowerSeriesWithinAt.add, meromorphicOrderAt_zpow, ContDiffMapSupportedIn.fderivCLM_apply_of_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, ContinuousLinearMap.adjoint_inner_right, AnalyticOn.hasFPowerSeriesOnBall, CFC.negPart_def, contDiff_of_differentiable_iteratedDeriv, Profinite.NobelingProof.CC_comp_zero, MeasureTheory.integral_fintype_prod_volume_eq_prod, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, RCLike.mul_re, hasStrictDerivAt_exp_zero_of_radius_pos, LinearMap.isPositive_iff, ProbabilityTheory.instIsProbabilityMeasure_stieltjesOfMeasurableRat, differentiableAt_conj_conj_iff, HasStrictFDerivAt.continuousAlternatingMap_apply_const, integrable_cfc, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, UnitAddTorus.span_mFourier_closure_eq_top, signedDist_lineMap_right, analyticOrderAt_smul, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, MeromorphicAt.div, MeasureTheory.withDensityᵥ_smul', analyticOrderAt_mul_eq_top_of_left, hasDerivAtFilter_const, analyticOrderAt_eq_zero, SchwartzMap.tsupport_derivCLM_subset, CFC.sqrt_rpow_nnreal, RCLike.normSq_zero, hasDerivAt_single, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, nnnorm_cfc_nnreal_lt_iff, orthonormal_iff_ite, RCLike.wInner_add_left, SchwartzMap.integral_smul_laplacian_right_eq_left, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, RCLike.re_le_neg_norm_iff_eq_neg_norm, OrthonormalBasis.coe_equiv_euclideanSpace, fderivWithin_mul_const, CompactlySupportedContinuousMap.nnrealPart_smul_pos, ContinuousMap.polynomial_comp_attachBound, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, RCLike.neg_iff_exists_ofReal, RCLike.wInner_one_eq_sum, derivWithin_finset_prod, derivWithin_div, InnerProductSpace.Core.inner_add_add_self, ContDiffOn.inv, norm_cfcHom, RCLike.to_complex_nonneg_iff, integral_ofReal, RCLike.sqrt_zero, ContinuousLinearMap.le_of_opNorm₂_le_of_le, ContinuousMultilinearMap.currySum_apply, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral, AnalyticAt.aeval_mvPolynomial, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, Polynomial.differentiableWithinAt_aeval, signedDist_apply, HasDerivAt.pow', Unitization.norm_splitMul_snd_sq, Matrix.IsHermitian.star_mul_self_mul_eq_diagonal, ProbabilityTheory.iIndepFun.integral_fun_prod_eq_prod_integral, WeakDual.CharacterSpace.equivAlgHom_coe, Valued.toNormedField.setOf_mem_integer_eq_closedBall, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, TestFunction.instLineDerivSMulTopENat, EuclideanSpace.inner_toLp_toLp, cfc_real_eq_complex, CFC.norm_rpow, RCLike.im_ofReal_mul, ContinuousMap.toNNReal_neg_one, Matrix.l2_opNNNorm_diagonal, MeromorphicOn.negPart_divisor_add_le_add, mfderiv_smul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, HasFDerivAt.hasGradientAt, ordinaryHypergeometric_radius_top_of_neg_nat₁, hasStrictDerivAt_zero, HasStrictFDerivAt.sin, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, ContinuousAlternatingMap.alternatizeUncurryFin_add, Complex.hasDerivAt_tan, Matrix.instCStarRing, RCLike.normSq_eq_zero, signedDist_eq_dist_iff_vsub_mem_span, Matrix.IsHermitian.eigenvectorUnitary_transpose_apply, HasDerivAtFilter.finCons, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, HasFDerivWithinAt.const_rpow, ContinuousLinearMap.flip_zero, FormalMultilinearSeries.leftInv_removeZero, ContDiffMapSupportedIn.fderivCLM_apply, PadicInt.continuousAddCharEquiv_symm_apply, hasStrictDerivAt_exp_smul_const_of_mem_ball', Unitization.antilipschitzWith_addEquiv, ContinuousLinearMap.extendTo𝕜'_apply, derivWithin_comp_sub_const, TestFunction.fderivCLM_apply, fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, VectorFourier.norm_fourierPowSMulRight_le, MeromorphicAt.inv, analyticOrderNatAt_pow, meromorphicOrderAt_id_sub_const, AddChar.linearIndependent, RCLike.instPosMulReflectLE, SchwartzMap.fourierMultiplierCLM_fourierMultiplierCLM_apply, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, UnitAddTorus.mFourier_single, Real.hasFDerivAt_fourierChar_neg_bilinear_right, ProbabilityTheory.IsMeasurableRatCDF.measurable_measure_stieltjesFunction, Padic.norm_rat_le_one_iff_padicValuation_le_one, Unitization.splitMul_injective, MeromorphicOn.fun_inv, ProbabilityTheory.measure_condCDF_univ, Antitone.deriv_nonpos, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContDiffMapSupportedIn.continuous_iff_comp, differentiable_tsum', MonotoneOn.nnnorm_cfc, Meromorphic.inv, VectorFourier.norm_fourierSMulRight, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, Polynomial.differentiable, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, ContinuousLinearEquiv.coord_norm', deriv_fun_pow, fderivWithin_continuousAlternatingMap_apply, HasDerivAt.fun_inv, cfc_setIntegral', iteratedDerivWithin_comp_eq_sum_orderedFinpartition, DifferentiableAt.div_const, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, cfcₙ_setIntegral', analyticOrderNatAt_mul, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, ContinuousOn.cfcₙ_nnreal, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, cfcₙ_apply_mem_elemental, HasStrictDerivAt.add_const, derivWithin_id, Matrix.IsHermitian.eigenvalues_eq_zero_iff, CFC.posPart_def, iteratedDeriv_fun_pow_zero, CFC.nnrpow_eq_rpow, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, hasStrictFDerivAt_exp_smul_const, LinearMap.dualEmbedding_injective_of_separatingRight, Homeomorph.contDiff_symm_deriv, Complex.hasStrictFDerivAt_log_real, iteratedFDeriv_two_apply, Real.hasStrictDerivAt_tan, RCLike.instNormSMulClassInt, ContDiffAt.inner, WeakDual.isSeqCompact_of_isBounded_of_isClosed, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, RCLike.wInner_cWeight_const_right, HasStrictFDerivAt.mul, iter_deriv_inv_linear, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, MeromorphicAt.fun_zpow, Summable.hasProdUniformlyOn_one_add, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, HasDerivWithinAt.cpow_const, ContinuousMap.elemental_id_eq_top, meromorphicNFAt_mul_iff_right, MDifferentiable.clm_precomp, Real.differentiable_fourierChar_neg_bilinear_left, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ContDiffMapSupportedIn.fderivLM_apply_of_le, DifferentiableOn.fun_div, IsSelfAdjoint.commute_cfcₙ, FormalMultilinearSeries.le_radius_pi, Real.hasDerivAt_arctan, continuousMultilinearCurryLeftEquiv_symm_apply, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, WithLp.unitization_mul, hasDerivAt_exp_smul_const', dist_right_lineMap, DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, HasStrictDerivAt.finset_prod, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, polynomialFunctions_closure_eq_top', norm_apply_le_norm_cfcₙ, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, iteratedDerivWithin_scomp_two, fderiv_csinh, PiLp.inner_apply, Complex.im_eq_zero_iff_isSelfAdjoint, meromorphicOrderAt_of_not_meromorphicAt, iteratedFDeriv_succ_eq_comp_left, ContinuousMapZero.toNNReal_neg_smul, AddChar.wInner_cWeight_eq_boole, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, MeromorphicOn.AnalyticOnNhd.divisor_apply, continuousOn_cfc_nnreal_setProd, differentiableAt_of_deriv_ne_zero, PadicInt.limNthHom_mul, ContDiffMapSupportedIn.fderivLM_apply_of_gt, EuclideanSpace.restrict₂_apply, HasDerivAt.hasDerivAtFilter, ProbabilityTheory.iIndepFun.integral_fun_prod_comp, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, ContinuousMap.polynomial_comp_attachBound_mem, range_cfcHom, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, RCLike.re_ofReal_mul, HasFDerivAt.sqrt, ClosedSubmodule.orthogonal_closure, EisensteinSeries.eisSummand_SL2_apply, meromorphicOrderAt_const_intCast, LinearMap.toSeminormFamily_apply, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, CFC.abs_one, hasGradientWithinAt_iff_tendsto, InnerProductSpace.add_left, ContDiffMapSupportedIn.structureMapCLM_zero_injective, EuclideanSpace.inner_single_right, sum_mul_eq_sub_integral_mul, ContinuousMultilinearMap.piₗᵢ_apply, nnnorm_cfcHom, Module.Basis.opNNNorm_le, integrableOn_cfc, ContMDiffWithinAt.clm_precomp, iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod, Real.deriv_arcsin_aux, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ContinuousMultilinearMap.ofSubsingletonₗᵢ_apply, continuousOn_cfc, HasDerivAtFilter.comp, HasFDerivWithinAt.finset_prod, continuousMultilinearCurryFin1_symm_apply, HasStrictDerivAt.fun_add, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, FormalMultilinearSeries.radius_pi_le, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, RCLike.normSq_add, PadicInt.mahlerEquiv_symm_apply, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, Asymptotics.IsEquivalent.listProd, MeromorphicOn.mul, hasDerivAt_iff_tendsto, ProbabilityTheory.iIndepFun.integral_prod_comp, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, sub_smul_dslope, setIntegral_re_add_im, Function.locallyFinsuppWithin.one_isLittleO_logCounting_single, SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, norm_iteratedFDeriv_smul_le, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, ContDiffAt.differentiableAt_iteratedFDeriv, MeromorphicNFAt.meromorphicOrderAt_eq_zero_iff, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, MeasureTheory.lpNorm_one', HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, HasStrictFDerivAt.cosh, Matrix.toEuclideanLin_eq_toLin_orthonormal, ContDiffOn.smulRight, Polynomial.toAddCircle_X_eq_fourier_one, Real.hasStrictDerivAt_const_rpow, HasStrictDerivAt.cos, PadicInt.continuousAddCharEquiv_apply, MeromorphicAt.fun_div, ContinuousLinearMap.norm_adjoint_comp_self, LinearPMap.mem_adjoint_domain_iff, spectrum.hasDerivAt_resolvent_const_right, hasDerivWithinAt_intCast, differentiableWithinAt_zpow, ContMDiff.clm_precomp, RCLike.intervalIntegral_ofReal, contDiffOn_infty_iff_deriv_of_isOpen, fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, ContinuousMultilinearMap.norm_smulRight, LSeries_hasDerivAt, instSMulCommClass_sphere_closedBall_ball, LeftInvariantDerivation.commutator_apply, ContinuousMap.toNNReal_add_add_neg_add_neg_eq, HasFPowerSeriesAt.has_fpower_series_dslope_fslope, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, OrthonormalBasis.coe_singleton, ContinuousLinearMap.hasDerivWithinAt, LeftInvariantDerivation.commutator_coe_derivation, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, FormalMultilinearSeries.derivSeries_apply_diag, derivWithin_comp_const_add, HasDerivAt.conj_conj, AnalyticOn.eval_polynomial, prod_vanishing_of_summable_norm, Matrix.l2_opNNNorm_conjTranspose_mul_self, NumberField.canonicalEmbedding_eq_basisMatrix_mulVec, ContinuousMapZero.toNNReal_smul, fderiv_comp_smul, ContinuousLinearMap.opNorm_lsmul, coe_innerₛₗ_apply, isCoveringMapOn_zpow, ProbabilityTheory.covarianceBilinDual_of_not_memLp, FormalMultilinearSeries.norm_changeOriginSeriesTerm, fderivWithin_arctan, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, Unitization.uniformity_eq_aux, isScalarTower_closedBall_closedBall_ball, HasGradientAt.hasDerivAt, hasDerivAt_exp_zero, HasFTaylorSeriesUpTo.zero_eq', MeasureTheory.charFun_map_eq_charFunDual_smul, ProbabilityTheory.gaussianPDFReal_mul, InnerProductSpace.continuousLinearMapOfBilin_apply, NormedSpace.double_dual_bound, instFieldContMDiffRing, hasGradientWithinAt_iff_isLittleO, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, CStarAlgebra.toStarModule, PointwiseConvergenceCLM.withSeminorms, MeasureTheory.convolution_eq_swap, CFC.isUnit_nnrpow_iff, Module.Basis.opNorm_le, MeromorphicOn.fun_prod, fun_meromorphicOrderAt_inv, UniformCauchySeqOnFilter.one_smulRight, Real.zero_at_infty_vector_fourierIntegral, 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, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, fderiv_csin, MeromorphicOn.divisor_def, PadicInt.limNthHom_zero, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, inner_matrix_row_row, HasFTaylorSeriesUpTo.fderiv, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, UpperHalfPlane.neg_smul, Int.padicValuation_le_one, ContinuousMap.idealOf_compl_singleton_isMaximal, fderiv_cosh, HasStrictFDerivAt.fun_mul, ContinuousLinearMap.norm_holderL_le, NormedSpace.exp_add_of_mem_ball, hasFDerivWithinAt_pow, logDeriv_mul_const, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, LinearMap.polar_mem_iff, hasDerivWithinAt_inv, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Unitization.lipschitzWith_addEquiv, hasStrictDerivAt_id, cfcₙL_integrable, MeromorphicNFAt.fun_zpow, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, HasGradientAt.fderiv_apply, TemperedDistribution.derivCLM_apply_apply, Complex.hasDerivAt_exp, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, integral_re, HasStrictFDerivAt.sinh, ContinuousMap.exists_mem_subalgebra_near_continuous_of_separatesPoints, LeftInvariantDerivation.ext_iff, abs_signedDist_le_dist, HasFDerivAt.cpow, MeromorphicOn.countable_compl_analyticAt, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, Real.hasStrictFDerivAt_rpow_of_neg, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Real.hasStrictDerivAt_rpow_const, IsCovariantDerivativeOn.affine_combination, Matrix.instStarOrderedRing, VectorField.lieBracket_smul_right, LinearMap.hasDerivAtFilter, iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod, HasFiniteFPowerSeriesOnBall.fderiv_eq, PreInnerProductSpace.Core.add_left, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, analyticOrderAt_mul_eq_top_of_right, PadicInt.unitCoeff_spec, Complex.hasDerivAt_log_sub_logTaylor, hasStrictDerivAt_iff_hasStrictFDerivAt, TestFunction.lineDerivCLM_apply_of_gt, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, HasStrictDerivAt.complexToReal_fderiv, MeromorphicNFAt.inv, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, PadicInt.norm_natCast_zmodRepr_eq_iff, ConvexOn.exists_affine_le_of_lt, ProbabilityTheory.IsGaussian.charFunDual_eq', HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, HasDerivWithinAt.comp_hasDerivAt, MeasureTheory.integral_prod_smul, inner_sub_sub_self, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, isBoundedLinearMap_continuousMultilinearMap_comp_linear, ContinuousAt.cfc_nnreal, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, RealRMK.le_rieszMeasure_tsupport_subset, innerSL_apply_coe, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, hasDerivAt_exp_of_mem_ball, hasStrictDerivAt_exp_smul_const_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, HasDerivWithinAt.fun_sum, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, mdifferentiableAt_localFrame_coeff, Real.hasDerivAt_Gamma_nat, ordinaryHypergeometricSeries_norm_div_succ_norm, Matrix.IsHermitian.conjStarAlgAut_star_eigenvectorUnitary, HasStrictFDerivAt.inner, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, hasDerivAt_pi, ContinuousWithinAt.cfc, 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, Meromorphic.fun_pow, hasFDerivAt_inv', LinearMap.toMatrix_adjoint, HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, hasDerivWithinAt_finCons, HasDerivAt.const_cpow, WeakDual.CharacterSpace.exists_apply_eq_zero, HasFDerivAt.cosh, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, exists_continuousLinearEquiv_fderiv_symm_eq, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, differentiableAt_dslope_of_ne, Complex.hasDerivAt_log, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, hasDerivAt_zpow, HasDerivAt.sin, MeasureTheory.AEStronglyMeasurable.convolution_integrand', WeakDual.CharacterSpace.compContinuousMap_id, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, ContinuousLinearMap.isPositive_adjoint_comp_self, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, instSMulCommClass_sphere_sphere_closedBall, ContDiffOn.differentiableOn_iteratedFDerivWithin, EuclideanSpace.single_eq_zero_iff, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, Matrix.IsHermitian.mulVec_eigenvectorBasis, ValueDistribution.log_counting_zero_sub_logCounting_top, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', Matrix.l2_opNorm_def, signedDist_apply_linear, Asymptotics.IsTheta.mul, HasFiniteFPowerSeriesOnBall.sub, RCLike.wInner_nonneg, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Matrix.toEuclideanLin_toLp, Bundle.RiemannianMetric.continuousAt, nnnorm_cfcₙ_le, Asymptotics.isTheta_const_mul_left, LinearMap.IsSymmetric.toMatrix_eigenvectorBasis, integral_re_add_im, HasStrictDerivAt.neg, ContinuousLinearMap.holderL_apply_apply, FormalMultilinearSeries.comp_rightInv_aux2, ZSpan.coe_fract_self, LeftInvariantDerivation.toFun_eq_coe, Real.hasDerivAt_sinh, Polynomial.toAddCircle_C_eq_smul_fourier_zero, isConformalMap_const_smul, Matrix.l2_opNorm_mul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, Subalgebra.SeparatesPoints.rclike_to_real, norm_innerSL_le, polynomialFunctions_closure_eq_top, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Complex.hasDerivWithinAt_sqrt, HasStrictFDerivAt.csinh, ContMDiffWithinAt.cle_arrowCongr, HasFDerivWithinAt.cos, ContinuousWithinAt.cfc_nnreal, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, WeakDual.isClosed_image_coe_of_bounded_of_closed, continuousMultilinearCurryRightEquiv_apply, 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, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, nnnorm_cfcₙ_nnreal_le, CFC.sqrt_eq_real_sqrt, meromorphicOrderAt_prod, orthonormal_vecCons_iff, AffineMap.deriv, ContinuousAlternatingMap.prodLIE_symm_apply, DifferentiableOn.hasDerivAt, Summable.multipliableUniformlyOn_nat_one_add, contDiffOn_infty_iff_derivWithin, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, apply_le_nnnorm_cfcₙ_nnreal, ProbabilityTheory.covarianceBilinDual_of_not_memLp', SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', PadicInt.instIsAddTorsionFree, fderivWithin_comp_smul, 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, contDiffOn_iff_continuousOn_differentiableOn_deriv, ContinuousLinearMap.flipₗᵢ_symm, HasFPowerSeriesAt.compContinuousLinearMap, continuousOn_cfcₙ_nnreal_setProd, fderivWithin_clm_apply, exists_continuousLinearEquiv_fderivWithin_symm_eq, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, hasDerivAt_of_tendsto_locally_uniformly_on', MeromorphicAt.meromorphicTrailingCoeffAt_mul, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, FormalMultilinearSeries.rightInv_coeff_one, ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhd, hasFDerivAt_exp, EuclideanSpace.single_apply, fderiv_continuousAlternatingMap_apply_const_apply, RCLike.hasSum_conj', MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, Matrix.PosDef.det_pos, ZSpan.mem_fundamentalDomain, differentiableAt_iff_comp_sub_const, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Function.FactorizedRational.meromorphicTrailingCoeffAt_factorizedRational_off_support, LinearMap.polar_mem, CFC.real_exp_eq_normedSpace_exp, CFC.norm_sqrt, MeromorphicOn.divisor_mul, LinearMap.isAdjointPair_inner, CFC.continuousOn_rpow, ContinuousLinearMap.norm_holder_apply_apply_le, HasDerivWithinAt.log, WithLp.unitization_norm_inr, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, range_cfc, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, constFormalMultilinearSeries_apply_succ, Polynomial.fourierCoeff_toAddCircle, signedDist_left_lineMap, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, RCLike.wInner_add_right, hasFDerivAt_inv, HasStrictFDerivAt.clm_comp, DifferentiableWithinAt.inner, MonotoneOn.nnnorm_cfcₙ, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.fpowerSeries_apply_one, MeromorphicAt.meromorphicTrailingCoeffAt_zpow, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, BoundedContinuousFunction.char_add_eq_mul, HasDerivAtFilter.isTheta_sub, constFormalMultilinearSeries_zero, HasStrictFDerivAt.continuousMultilinearMap_apply, ValueDistribution.logCounting_inv, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, Real.hasDerivWithinAt_arccos_Iic, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm_top, LinearIsometryEquiv.toContinuousLinearEquiv_smul, ContinuousLinearMap.opNNNorm_mul_apply, fderivInnerCLM_apply, ContinuousMultilinearMap.curryFinFinset_apply, ContDiffAt.smulRight, NormedField.nhdsWithin_isUnit_neBot, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, MeromorphicAt.fun_inv, nndist_self_homothety, FormalMultilinearSeries.changeOriginSeriesTerm_bound, HasDerivWithinAt.sum, spectrum.subset_circle_of_unitary, spectrum.subset_closedBall_norm, RCLike.I_mul_I_of_nonzero, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, summable_mul_of_bigO_atTop', VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, CFC.nnnorm_nnrpow, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, Function.locallyFinsuppWithin.logCounting_even, HasFTaylorSeriesUpToOn.restrictScalars, HasDerivAtFilter.neg, ContinuousLinearMap.apply_apply, RCLike.span_one_I, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, Real.fourierIntegral_continuousMultilinearMap_apply', ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, HasGradientAtFilter.hasDerivAtFilter, instSMulCommClass_sphere_sphere_ball, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, fderivWithin_restrictScalars_comp, hasFPowerSeriesAt_iff', MDifferentiable.prod, MeasureTheory.eLpNorm_conj, inner_gradient_right, hasDerivAt_exp_smul_const_of_mem_ball, LinearIsometryEquiv.conjStarAlgEquiv_apply_apply, DFinsupp.sum_inner, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, Matrix.PosDef.posDef_sqrt, norm_cfcₙ_le_iff, differentiableAt_comp_sub_const, derivWithin_clm_apply, smooth_functions_tower, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, finrank_euclideanSpace_fin, Real.hasStrictDerivAt_exp, CFC.norm_nnrpow, WithLp.unitization_isometry_inr, HasStrictDerivAt.congr_of_eventuallyEq, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, HasCompactSupport.convolution_integrand_bound_right, isBigO_norm_restrict_cocompact, MeromorphicAt.meromorphicTrailingCoeffAt_pow, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, Complex.hasStrictDerivAt_sqrt, HasDerivAt.comp_semilinear, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, Finset.analyticAt_fun_prod, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, HasDerivAt.comp_sub_const, QuotientGroup.integral_mul_eq_integral_automorphize_mul, Commute.cfcₙ_real, ContMDiffAt.cle_arrowCongr, AnalyticOnNhd.eval_continuousLinearMap, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, HasFDerivAt.clm_comp, ContinuousLinearMap.adjoint_innerSL_apply, HasFDerivAt.rpow, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, ContDiffMapSupportedIn.structureMapLM_apply, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, DifferentiableOn.of_dslope, HasDerivWithinAt.iterate, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, RCLike.normSq_sub, isBoundedLinearMap_prod_multilinear, nndist_homothety_self, fderivWithin_fun_mul, Differentiable.div, Orthonormal.inner_sum, HasCompactSupport.convolution_integrand_bound_right_of_subset, intervalIntegral.integral_mul_const, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, HasStrictDerivAt_ofNat, Filter.IsBoundedUnder.isLittleO_sub_self_inv, RCLike.re_tsum, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, MeromorphicAt.finprod, HasFiniteFPowerSeriesAt.comp, ContinuousMap.idealOfSet_isMaximal_iff, LeftInvariantDerivation.coeFnAddMonoidHom_apply, MeromorphicOn.finprod, RCLike.sqrt_neg_of_nonneg, hasDerivWithinAt_iff_tendsto, MeasureTheory.condExpL2_const_inner, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, ContDiffWithinAt.div_const, Unitary.path_apply, ContDiffAt.hasStrictDerivAt', RCLike.realLinearIsometryEquiv_apply, InnerProductSpace.Core.inner_zero_left, Unitary.spectrum_subset_circle, HasDerivAt.star_conj, PadicInt.existsUnique_mem_range, Matrix.tracePositiveLinearMap_apply, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, hasDerivAt_finCons, inner_eq_ofReal_norm_sq_right_iff, HasFDerivWithinAt.sin, cfcₙ_complex_eq_real, SchwartzMap.smulLeftCLM_smul, PadicInt.toZMod_spec, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, ContinuousLinearMap.opNorm_le_bound₂, hasFPowerSeriesAt_iff, HasStrictFDerivAt.exp, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, DifferentiableWithinAt.of_dslope, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.integral_convolution, contDiff_euclidean, fderiv_norm_sq_apply, IsSelfAdjoint.commute_cfc, RCLike.imCLM_apply, fderiv_sin, HasFPowerSeriesOnBall.exchange_radius, cfcHom_apply_mem_elemental, hasStrictDerivAt_pow, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, derivWithin_mem_iff, RCLike.conj_neg_I, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, cfc_setIntegral, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, RCLike.inv_I, hasDerivAt_of_tendstoUniformlyOnFilter, Submodule.starProjection_tendsto_closure_iSup, hasFDerivAt_exp_of_mem_ball, NormedSpace.dual_def, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, HasDerivAt.inv, CompactlySupportedContinuousMap.exists_add_nnrealPart_add_eq, MeasureTheory.integral_mul_const, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, ContinuousMap.idealOpensGI_choice, HasMFDerivAt.const_smul, HasDerivAtFilter.fun_sum, contDiff_prod, Int.Matrix.exists_ne_zero_int_vec_norm_le, HasStrictDerivAt.sqrt, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, HasStrictDerivAt.ccos, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', Unitization.norm_inr, PadicInt.zmodRepr_eq_zero_iff_dvd, norm_cfc_lt, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, inner_vsub_left_eq_zero_symm, MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendsto, Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd, hasDerivAt_abs_pos, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, HilbertBasis.hasSum_repr_symm, inner_neg_left, ContMDiff.cle_arrowCongr, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, differentiableWithinAt_Ioi_iff_Ici, SimpleGraph.lapMatrix_mulVec_eq_zero_iff_forall_adj, inner_smul_left, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, Unitization.continuous_inr, integral_im, fun_meromorphicOrderAt_pow, cfc_integral', MeromorphicAt.meromorphicOrderAt_comp, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, differentiableOn_zpow, fderivWithin_mul, HasDerivWithinAt.fun_inv, Bundle.ContinuousRiemannianMetric.isVonNBounded, HasDerivWithinAt.finCons, HasStrictDerivAt.clm_apply, TemperedDistribution.smulLeftCLM_apply_apply, HasDerivAt.congr_deriv, CFC.rpow_eq_cfc_real, HasDerivAt.tendsto_slope_zero_right, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, Finset.analyticOnNhd_fun_prod, Function.FactorizedRational.meromorphicNFOn, fderiv_inner_apply, contDiff_one_iff_deriv, ContinuousLinearMap.hasDerivAt_of_bilinear, inner_matrix_col_col, MDifferentiableWithinAt.prod, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, HasFDerivAt.comp_hasDerivAt_of_eq, Finset.analyticOn_prod, Real.hasStrictDerivAt_log_of_pos, derivWithin_comp_neg, HasFDerivWithinAt.fun_mul, ValueDistribution.logCounting_mul_zero_le, RCLike.div_I, OrthonormalBasis.inner_eq_ite, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, HasDerivAtFilter.const_sub, ContinuousLinearMap.orthogonal_ker, ContDiff.div, AnalyticAt.hasStrictDerivAt, ProbabilityTheory.IsCondKernelCDF.toKernel_apply, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, Rat.padicValuation_le_one_iff, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, Continuous.cfcₙ_nnreal', Filter.EventuallyEq.hasDerivWithinAt_iff, ProbabilityTheory.instIsProbabilityMeasurecdf, InnerProductSpace.norm_rankOne, ProbabilityTheory.IndepFun.integral_mul_eq_mul_integral, cfc_mem, Asymptotics.IsTheta.const_mul_right, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, hasFDerivAt_integral_of_dominated_loc_of_lip, PadicInt.valuation_mul, PiTensorProduct.mapLMultilinear_toFun_apply, VectorField.mlieBracket_smul_right, HasFDerivWithinAt.cosh, HasStrictDerivAt.clog, HasDerivAtFilter.fun_const_smul, CFC.isUnit_sqrt_iff, Matrix.PosDef.re_dotProduct_pos, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, Unitization.nnnorm_inr, MeasureTheory.SignedMeasure.rnDeriv_add, fderiv_eq_smul_deriv, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, Int.Matrix.exists_ne_zero_int_vec_norm_le', HasStrictFDerivAt.rpow_const, hasStrictFDerivAt_exp_smul_const_of_mem_ball, Matrix.gram_single, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, Function.locallyFinsuppWithin.toClosedBall_eval_within, InnerProductSpace.Core.inner_sub_right, NormedSpace.exp_add, PadicInt.addChar_of_value_at_one_def, deriv_comp_sub_const, contMDiffOn_iff_localFrame_coeff, polynomialFunctions.comap_compRightAlgHom_iccHomeoI, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, Orthonormal.inner_eq_zero, hasDerivWithinAt_sub_const_iff, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, HasDerivAt.cpow_const, HasFDerivAt.continuousMultilinearMap_apply, RCLike.zero_im, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, fderiv_inv', ContinuousLinearMapWOT.ext_inner_iff, cfcₙ_integral', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, Matrix.permMatrix_l2_opNorm_eq, norm_inner_div_norm_mul_norm_eq_one_iff, HasStrictDerivAt.star, tendsto_zero_geometric_tsum_pnat, CFC.rpow_sqrt, FormalMultilinearSeries.comp_assoc, HasFPowerSeriesWithinAt.comp, Real.hasDerivAt_negMulLog, continuousMultilinearCurryFin1_apply, LeftInvariantDerivation.evalAt_apply, InnerProductSpace.gramSchmidt_inv_triangular, hasStrictDerivAt_neg, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, HilbertBasis.finite_spans_dense, nnnorm_cfcₙ_lt, RCLike.ofReal_lt_zero, HasStrictDerivAt.fun_pow, LinearIsometry.adjoint_comp_self
toNormedRing 📖	CompOp	1527 math math: Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, MeasureTheory.L1.setToL1_eq_setToL1', instSeparatingDual, hasFDerivAt_iff_hasDerivAt, TensorProduct.mapInclIsometry_apply, DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply, HasSum.exp, closure_diff_intrinsicFrontier, Submodule.starProjection_apply_eq_isComplProjection, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, AnalyticAt.tendsto_mul_logDeriv_simple_zero, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, HasDerivWithinAt.clm_comp, SchwartzMap.lineDerivOpCLM_eq, topDualPairing_isContPerfPair, MeasureTheory.condExpInd_of_measurable, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, RCLike.one_re, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, MeasureTheory.condExpL1_smul, AffineIsometry.image_intrinsicClosure, Submodule.IsCompl.projection_isSymmetricProjection_iff, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, AffineIsometryEquiv.coe_mk, MDifferentiableOn.clm_postcomp, OrthonormalBasis.orthogonalProjection_eq_sum, MeasureTheory.aestronglyMeasurable_condExpInd, ContinuousLinearMap.compSL_apply, LinearMap.IsSymmetric.inner_map_polarization, Affine.Simplex.orthogonalProjectionSpan_map, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, Matrix.IsHermitian.isClosedEmbedding_cfcAux, PadicInt.lift_sub_val_mem_span, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, hasStrictFDerivAt_exp_of_mem_ball, norm_zsmul, PadicInt.norm_int_lt_one_iff_dvd, smooth_barycentric_coord, IsHilbertSum.surjective_isometry, MeasureTheory.L1.setToL1_indicatorConstLp, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, dist_midpoint_right, PadicInt.norm_intCast_eq_padic_norm, Submodule.orthogonalDecomposition_symm_apply, OrthogonalFamily.linearIsometry_apply_single, InnerProductSpace.rankOne_one_left_eq_innerSL, NumberField.mixedEmbedding.norm_eq_sup'_normAtPlace, IsHilbertSum.mkInternal, AffineIsometryEquiv.coe_symm_toAffineEquiv, ContinuousAffineMap.fderiv, HasFiniteFPowerSeriesAt.neg, PadicInt.valuation_p, EuclideanSpace.orthonormal_single, meromorphicOrderAt_const_ofNat, ContinuousAffineMap.differentiableWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, Matrix.IsHermitian.det_abs, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, hasFDerivAt_multiset_prod, PadicInt.isCauSeq_nthHom, MDifferentiableAt.cle_arrowCongr, Submodule.toLinearEquiv_orthogonalDecomposition_symm, derivWithin_id', hasFTaylorSeriesUpToOn_top_iff_right, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Matrix.spectrum_toEuclideanLin, MeasureTheory.lpNorm_fun_div_natCast, MeasureTheory.norm_condExpL2_le, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, InnerProductSpace.isIdempotentElem_rankOne_self, Matrix.cstar_nnnorm_def, Differentiable.clm_comp, Padic.withValUniformEquiv_norm_le_one_iff, Matrix.IsHermitian.cfc_eq, Rat.padicValuation_cast, HasStrictDerivAt.pow, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, ContinuousLinearMap.hasDerivAtFilter, DoubleCentralizer.intCast_snd, MeasureTheory.L1.norm_setToL1_le, Submodule.re_inner_starProjection_eq_normSq, ordinaryHypergeometric_radius_top_of_neg_nat₃, inner_self_eq_one_of_norm_eq_one, MeasureTheory.inner_condExpL2_left_eq_right, IsCovariantDerivativeOn.difference_apply, AffineIsometryEquiv.linear_eq_linear_isometry, PadicComplex.valuation_extends, ContinuousLinearMap.integral_apply, PadicComplex.charZero, LinearMap.polar_eq_iInter, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, ContMDiffCovariantDerivativeOn.affine_combination, LinearMap.IsSymmetric.diagonalization_apply_self_apply, EuclideanGeometry.orthogonalProjection_congr, ContinuousAlternatingMap.instIsUniformAddGroup, PadicInt.appr_spec, Matrix.le_iff, Submodule.starProjection_orthogonal', AffineIsometryEquiv.ofTop_apply, Submodule.toLinearEquiv_orthogonalDecomposition, PadicComplex.coe_eq, RCLike.sub_conj, HasFPowerSeriesWithinAt.const_smul, MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zero, SchwartzMap.lineDerivOp_fourier_eq, PadicInt.norm_intCast_lt_one_iff, AddChar.wInner_cWeight_self, EisensteinSeries.summand_bound_of_mem_verticalStrip, Orthonormal.codRestrict, EuclideanSpace.basisFun_toBasis, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, hasDerivAt_neg', HasFDerivAtFilter.sub, ContMDiffOn.clm_postcomp, dist_left_midpoint, PadicComplex.norm_eq_norm, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, MeasureTheory.condExpIndL1Fin_smul, PadicSeq.ne_zero_iff_nequiv_zero, NumberField.mixedEmbedding.norm_le_convexBodySumFun, FormalMultilinearSeries.derivSeries_coeff_one, Matrix.spectrum_toLpLin, PadicInt.sub_zmodRepr_mem, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, fderiv_clm_comp, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, OrthogonalFamily.of_pairwise, fderiv_continuousAlternatingMap_apply_const, MeasureTheory.L1.SimpleFunc.setToL1SCLM_const, IsHilbertSum.linearIsometryEquiv_symm_apply, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, iteratedDeriv_pow, AffineMap.hasDerivWithinAt, RCLike.conj_nat_cast, LeftInvariantDerivation.left_invariant, EuclideanSpace.basisFun_apply, HasFPowerSeriesAt.neg, EuclideanGeometry.orthogonalProjection_contLinear, EisensteinSeries.abs_le_right_of_norm, hasDerivAt_exp_zero_of_radius_pos, ContinuousAffineMap.differentiable, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, PadicInt.norm_p_pow, curveIntegrable_fun_neg_iff, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, Affine.Triangle.prod_dist_div_dist_eq_one_of_mem_line_of_mem_line, NormedSpace.exp_series_hasSum_exp', EuclideanGeometry.reflection_map, AffineEquiv.continuous_of_finiteDimensional, HasFDerivAtFilter.const_sub, iteratedFDerivWithin_succ_eq_comp_left, contDiffOn_iff_continuousOn_differentiableOn, SchwartzMap.laplacianCLM_eq, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, nndist_midpoint_right, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, iter_deriv_zpow', Matrix.exp_conj', ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, Matrix.PosDef.eigenvalues_pos, InnerProductSpace.inner_left_rankOne_apply, MeasureTheory.Lp.instFourierInvSMul, Matrix.exp_neg, differentiable_descPochhammer_eval, FormalMultilinearSeries.taylorComp_sub_taylorComp_isBigO, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, OrthonormalBasis.repr_self, ContMDiffAt.clm_postcomp, ContMDiffWithinAt.clm_postcomp, PadicComplex.coe_natCast, ContinuousLinearMap.topologicalAddGroup, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, SchwartzMap.toLpCLM_apply, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, PadicInt.irreducible_p, InnerProductSpace.rankOne_apply, LinearMap.polar_singleton, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HasStrictDerivAt.clm_comp, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, AnalyticOn.hasFPowerSeriesOnSubball, ContinuousMap.toLp_norm_le, ContinuousMultilinearMap.norm_smulRightL_le, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, curveIntegral_neg, HasFDerivAt.sub, FormalMultilinearSeries.radius_le_smul, MDifferentiable.clm_postcomp, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, fderivWithin_const_sub, Affine.Simplex.orthogonalProjectionSpan_eq_point, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, HasFDerivAtFilter.neg, nndist_right_lineMap, CommCStarAlgebra.toCStarRing, MeasureTheory.MemLp.condExpL2_ae_eq_condExp, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, FormalMultilinearSeries.radius_compNeg, Padic.exi_rat_seq_conv_cauchy, Matrix.toEuclideanLin_apply, ContinuousMultilinearMap.uniformity_eq_seminorm, iteratedDerivWithin_eq_iteratedFDerivWithin, VectorFourier.fourierPowSMulRight_eq_comp, RCLike.intCast_re, EuclideanGeometry.orthogonalProjection_map, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, IsHilbertSum.hasSum_linearIsometryEquiv_symm, Rat.padicValuation_self, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, PadicInt.maximalIdeal_eq_span_p, HasFTaylorSeriesUpTo.fderiv_eq, MeasureTheory.dominatedFinMeasAdditive_condExpInd, nndist_left_lineMap, fderivWithin_fun_neg, ContinuousLinearMap.flipMultilinear_apply_apply, fderiv_continuousAlternatingMapCompContinuousLinearMap, PadicInt.norm_lt_one_iff_dvd, compactOperator_topologicalClosure, MeromorphicOn.divisor_natCast, Submodule.coe_orthogonalDecomposition_symm, PadicInt.mul_inv, MeasureTheory.aestronglyMeasurable_condExpL2, RCLike.I_mul_I, MeasureTheory.L1.setToL1_smul_left, RingHomIsometric.starRingEnd, fderiv_neg, MeasureTheory.L1.setToL1_zero_left, EuclideanGeometry.angle_orthogonalProjection_self, EuclideanGeometry.orthogonalProjection_apply_mem, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, MeasureTheory.condExpInd_nonneg, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, LinearPMap.graph_adjoint_toLinearPMap_eq_adjoint, EuclideanGeometry.dist_orthogonalProjection_eq_of_oangle_eq, ContinuousAffineMap.norm_def, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, AffineSubspace.coe_subtypeₐᵢ, SchwartzMap.fourier_lineDerivOp_eq, EuclideanGeometry.dist_orthogonalProjection_eq_iff_angle_eq, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, MeasureTheory.condExpL2_indicator_ae_eq_smul, fderiv_fun_sub, multipliable_one_add_of_summable, PadicInt.exists_mem_range, LinearIsometry.toAffineIsometry_toAffineMap, SchwartzMap.smulLeftCLM_real_smul, EulerProduct.eulerProduct_completely_multiplicative, MeasureTheory.condExpL1CLM_of_aestronglyMeasurable', PadicInt.exists_mem_range_of_norm_rat_le_one, HasMFDerivAt.neg, derivWithin_zpow, Matrix.PosSemidef.posDef_iff_isUnit, UnitAddTorus.mFourierCoeff_toLp, ContinuousLinearMap.mulLeftRight_apply, ContinuousLinearMap.holderₗ_apply_apply, hasDerivAt_id', Matrix.IsHermitian.eigenvectorUnitary_mulVec, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left', AffineIsometryEquiv.pointReflection_toAffineEquiv, Padic.zero_def, FDerivMeasurableAux.norm_sub_le_of_mem_A, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single, MDifferentiableAt.clm_postcomp, fderiv_continuousAlternatingMap_apply, HasFDerivWithinAt.const_sub, HasDerivAt.pow, PadicInt.inv_mul, Matrix.PosSemidef.det_sqrt, MeasureTheory.integral_condExpL2_eq, multipliable_norm_one_add_of_summable_norm, LinearPMap.adjoint_apply_eq, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime_pow, ContinuousLinearMap.hasDerivAt, PadicInt.fwdDiff_tendsto_zero, Valued.integer.exists_norm_lt_one, Module.Basis.coe_toOrthonormalBasis_repr, hasFDerivAt_ringInverse, MeasureTheory.convolution_precompR_apply, SchwartzMap.compSubConstCLM_apply, HasMFDerivWithinAt.neg, dist_left_midpoint_eq_dist_right_midpoint, MeasureTheory.setIntegral_condExpL2_indicator, InnerProductSpace.nnnorm_rankOne, BoundedContinuousFunction.mem_charPoly, spectrum.gelfandTransform_eq, OrthonormalBasis.orthogonalProjection_apply_eq_sum, BoundedContinuousFunction.charAlgHom_apply, HasDerivAt.fun_pow, FormalMultilinearSeries.taylorComp_sub_taylorComp_isLittleO, AffineMap.differentiableWithinAt, AffineIsometryEquiv.toContinuousAffineEquiv_symm, logDeriv_fun_pow, Submodule.IsCompl.closedComplemented_of_isClosed, InnerProductSpace.isSymmetricProjection_rankOne_self, MeasureTheory.lpNorm_mul_natCast, hasDerivWithinAt_neg, MeasureTheory.L1.setToL1_mono_left', hasMFDerivAt_neg, Matrix.IsHermitian.charpoly_cfc_eq, LinearMap.hasStrictDerivAt, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, EuclideanGeometry.dist_orthogonalProjection_eq_of_two_zsmul_oangle_eq, iteratedFDerivWithin_neg_apply, PadicSeq.lift_index_left_left, WeakDual.CharacterSpace.continuousMapEval_bijective, HasStrictFDerivAt.to_implicitFunctionOfComplemented, EuclideanGeometry.orthogonalProjection_apply', Affine.Simplex.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le, PadicInt.norm_natCast_zmodRepr_eq_one_iff_ne, NormedSpace.inclusionInDoubleDual_norm_eq, SchwartzMap.smulLeftCLM_sum, AffineMap.hasDerivWithinAt_lineMap, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, ContinuousLinearMap.fderiv_of_bilinear, RCLike.ofReal_natCast, EuclideanGeometry.orthogonalProjection_orthogonalProjection_of_le, MeasureTheory.setIntegral_condExpInd, RKHS.posSemidef_tfae, deriv_id'', OrthonormalBasis.coe_ofRepr, ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, Submodule.adjoint_subtypeL, hasStrictFDerivAt_exp, ContinuousLinearMap.norm_smulRightL, Function.FactorizedRational.mulSupport, Valued.integer.norm_irreducible_lt_one, MeasureTheory.L1.setToL1_eq_setToL1SCLM, PadicInt.mahlerSeries_apply_nat, Matrix.LE.le.posSemidef, Affine.Triangle.dist_circumcenter_reflection_orthocenter, MeasureTheory.norm_condExpL2_coe_le, MeasureTheory.setLIntegral_nnnorm_condExpL2_indicator_le, ContinuousLinearMap.compContinuousMultilinearMapL_apply, MeasureTheory.mem_lpMeas_iff_aestronglyMeasurable, InnerProductSpace.trace_rankOne, MDifferentiableWithinAt.cle_arrowCongr, MeasureTheory.L1.setToL1_nonneg, MDifferentiableWithinAt.clm_precomp, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, HasFDerivWithinAt.neg, AffineIsometry.toContinuousAffineMap_id, ContinuousLinearMap.compL_apply, ZSpan.repr_ceil_apply, Asymptotics.isEquivalent_nat_ceil, iteratedDeriv_fun_id_zero, DoubleCentralizer.neg_snd, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ContinuousAlternatingMap.instIsTopologicalAddGroup, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, IsIntegral.ratCast_iff, dist_lineMap_left, MeasureTheory.L1.integral_def, Matrix.toEuclideanCLM_toLp, WeakDual.CharacterSpace.homeoEval_naturality, Submodule.IsCompl.projection_isSymmetricProjection_of_isOrtho, hasSum_fourier_series_L2, MeasureTheory.L1.SimpleFunc.setToL1S_smul_real, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, ContinuousLinearMap.isUniformAddGroup, LeftInvariantDerivation.evalAt_coe, fderiv_inverse, SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, Matrix.posDef_gram_of_linearIndependent, ContMDiffOn.clm_precomp, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, contDiffOn_nat_iff_continuousOn_differentiableOn, HilbertBasis.hasSum_orthogonalProjection, padicNormE.defn, MeasureTheory.mem_lpMeas_indicatorConstLp, InnerProductSpace.adjoint_rankOne, InnerProductSpace.rankOne_eq_zero, fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAtFilter_neg, tsum_pow_div_one_sub_eq_tsum_sigma, AffineIsometry.linear_eq_linearIsometry, InnerProductSpace.inner_right_rankOne_apply, HilbertBasis.hasSum_repr, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, meromorphicOrderAt_const_natCast, AffineIsometryEquiv.coe_ofEq_apply, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, MeasureTheory.condExpIndSMul_smul, fderivWithin_inv', AffineIsometryEquiv.vaddConst_toAffineEquiv, hasDerivWithinAt_pow, MeasureTheory.lintegral_nnnorm_condExpL2_le, PadicInt.norm_ascPochhammer_le, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, AffineSubspace.isometryEquivMap.toAffineMap_eq, AffineSubspace.signedInfDist_eq_signedDist_of_mem, MeasureTheory.L1.setToFun_eq_setToL1, LinearMap.IsSymmetric.coe_toSelfAdjoint, MeromorphicOn.divisor_intCast, NormedSpace.norm_expSeries_summable_of_mem_ball', Matrix.piLp_ofLp_toEuclideanLin, LinearMap.IsSymmetric.diagonalization_symm_apply, NormedSpace.inclusionInDoubleDual_norm_le, mfderiv_sub, MeasureTheory.L1.integral_eq_setToL1, Affine.Simplex.signedInfDist_apply_self, LinearMap.norm_mkContinuous₂_aux, InnerProductSpace.rankOne_eq_rankOne_iff_comm, ContinuousLinearMap.derivWithin, ContinuousLinearMap.holder_smul_left, ContinuousLinearMap.precompR_apply, ContinuousAffineMap.norm_eq, AffineIsometry.image_intrinsicInterior, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, dist_right_midpoint, NormedSpace.exp_continuousMap_eq, MeasureTheory.hasFDerivAt_convolution_right_with_param, FormalMultilinearSeries.coeff_ofScalars, MeasureTheory.condExpL1CLM_indicatorConstLp, SchwartzMap.postcompCLM_apply, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, EuclideanSpace.coe_proj, Matrix.l2_opNNNorm_mulVec, AffineIsometryEquiv.toContinuousAffineEquiv_refl, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, PadicSeq.lift_index_right, MeasureTheory.L1.setToL1_add_left', Submodule.norm_orthogonalProjection_apply_le, instPolynormableSpaceSubtypeMemSubmodule, LinearMap.deriv, PadicInt.coe_adicCompletionIntegersEquiv_symm_apply, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, AffineIsometryEquiv.ofTop_symm_apply_coe, MeasureTheory.L1.setToL1_mono_left, MeasureTheory.condExpInd_disjoint_union, TensorProduct.inner_mapIncl_mapIncl, fun_iteratedFDeriv_sub, ContinuousMultilinearMap.instIsUniformAddGroup, Matrix.l2_opNorm_diagonal, Asymptotics.isEquivalent_iff_exists_eq_mul, Affine.Simplex.orthogonalProjectionSpan_congr, hasDerivAtFilter_id, fderivWithin_continuousMultilinear_apply_const, Matrix.isSymmetric_toEuclideanLin_iff, hasDerivAt_update, iteratedDeriv_fun_id, OrthonormalBasis.singleton_apply, RCLike.sqrt_one, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, LinearMap.IsSymmetric.restrict_invariant, hasFTaylorSeriesUpToOn_top_iff', Padic.comap_mulValuation_eq_padicValuation, FormalMultilinearSeries.radius_smul_eq, AffineIsometryEquiv.ofEq_symm, LinearIsometry.extend_apply, InnerProductSpace.rank_rankOne, ContMDiffOn.cle_arrowCongr, Module.Basis.coe_toOrthonormalBasis_repr_symm, HasFDerivWithinAt.fun_sub, Matrix.PosSemidef.eigenvalues_nonneg, ContinuousLinearMap.adjointAux_apply, fderivWithin_fun_sub, coe_lpBCFₗᵢ, ContinuousAffineMap.norm_contLinear_le, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, RCLike.add_conj, EuclideanGeometry.reflection_eq_self_iff, HasFPowerSeriesWithinOnBall.sub, CFC.exp_eq_normedSpace_exp, RCLike.im_eq_conj_sub, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', Submodule.toLinearMap_starProjection_eq_isComplProjection, Matrix.IsHermitian.posSemidef_iff_eigenvalues_nonneg, InnerProductSpace.rankOne_def, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, Finset.norm_prod_one_add_sub_one_le, MeasureTheory.lpNorm_fun_mul_natCast, fderivWithin_fderivWithin_eq_of_mem_nhds, contDiff_iff_continuous_differentiable, PadicSeq.norm_neg, iteratedDerivWithin_comp_three, AffineIsometry.coe_toAffineMap, iter_deriv_zpow, Summable.hasProdUniformlyOn_nat_one_add, DifferentiableOn.clm_comp, ftaylorSeriesWithin_zero, EuclideanGeometry.Sphere.orthogonalProjection_orthRadius_center, hasFDerivWithinAt_iff_hasDerivWithinAt, nndist_left_midpoint, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousLinearMap.coe_flipMultilinearEquiv, NonUnitalAlgHom.coe_Lmul, AffineIsometryEquiv.dist_pointReflection_self, HasStrictFDerivAt.hasStrictFDerivAt_implicitFunctionOfProdDomain, SchwartzMap.compCLMOfAntilipschitz_apply, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', Valued.coe_valuation_eq_rankOne_hom_comp_valuation, MeasureTheory.L2.inner_indicatorConstLp_one, hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.L1.setToL1_smul_left', LinearMap.IsSymmetric.toSelfAdjoint_apply, Submodule.coe_continuous_linearProjOfClosedCompl, EuclideanGeometry.orthogonalProjection_subtype, iteratedFDeriv_neg_apply, Submodule.coe_orthogonalDecomposition, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, fderivWithin_fderivWithin_eq_of_eventuallyEq, EulerProduct.eulerProduct_completely_multiplicative_tprod, summable_prod_mul_pow, dist_right_pointReflection, Matrix.nonneg_iff_posSemidef, EisensteinSeries.norm_eq_max_natAbs, ftaylorSeries_fun_zero, CovariantDerivative.affine_combination_toFun, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Matrix.exp_zsmul, SchwartzMap.postcompCLM_postcompCLM, Submodule.norm_subtypeL, AffineSubspace.closed_of_finiteDimensional, Matrix.posDef_gram_iff_linearIndependent, MeasureTheory.Lp.instFourierSMul, SchwartzMap.smulLeftCLM_const, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left, AffineSubspace.toContinuousAffineMap_subtypeₐᵢ, Matrix.permMatrix_l2_opNorm_le, PadicAlgCl.instUniformContinuousConstSMulPadic, PadicSeq.norm_nonarchimedean, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, AffineMap.hasDerivAt, Submodule.norm_sq_eq_add_norm_sq_projection, ContinuousAffineMap.contDiff, iteratedDerivWithin_zpow, HasFDerivWithinAt.fun_neg, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, Matrix.inner_toEuclideanCLM, ContinuousLinearMap.norm_precompR_le, EuclideanGeometry.orthogonalProjection_vadd_eq_self, dist_lineMap_right, MeasureTheory.lpNorm_fun_natCast_mul, AffineMap.differentiableAt, RCLike.sqrt_eq_real_add_ite, PadicInt.norm_int_le_pow_iff_dvd, PiTensorProduct.liftEquiv_apply, MeasureTheory.norm_condExpInd_apply_le, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, fderivWithin_iteratedFDerivWithin, PadicInt.denseRange_natCast, PadicAlgCl.valuation_p, hasFDerivAtFilter_iff_hasDerivAtFilter, PadicComplex.valuation_p, AffineMap.lipschitzWith_of_finiteDimensional, Affine.Triangle.dist_orthocenter_reflection_circumcenter, OrthogonalFamily.hasSum_linearIsometry, isOpen_setOf_affineIndependent, finrank_euclideanSpace, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, Summable.summable_log_norm_one_add, EuclideanGeometry.oangle_orthogonalProjection_self, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, PadicSeq.not_equiv_zero_const_of_nonzero, Submodule.fst_orthogonalDecomposition_apply, PadicComplex.norm_extends', RCLike.one_im, nndist_midpoint_left, RCLike.toZeroLEOneClass, RCLike.natCast_re, Valued.integer.norm_le_one, contMDiffOn_continuousLinearMapCoordChange, InnerProductSpace.enorm_rankOne, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, SchwartzMap.fourierMultiplierCLM_apply, EuclideanGeometry.dist_orthogonalProjection_eq_dist_iff_eq_of_mem, Polynomial.cyclotomic.isCoprime_rat, IsSelfAdjoint.dense_domain, HasStrictFDerivAt.neg, PadicComplex.isNonarchimedean, LinearMap.hasDerivWithinAt, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, Submodule.inner_orthogonalProjection_eq_of_mem_right, ContinuousMap.adjoin_id_eq_span_one_union, hasFTaylorSeriesUpTo_succ_nat_iff_right, SchwartzMap.compSubConstCLM_zero, LinearPMap.adjoint_apply_of_not_dense, ordinaryHypergeometric_radius_top_of_neg_nat₂, LipschitzWith.coordinate, HasDerivAt.clm_comp, EuclideanGeometry.reflection_apply_of_mem, HasFPowerSeriesOnBall.neg, Matrix.isStrictlyPositive_iff_posDef, ZSpan.coe_floor_self, Orthonormal.linearIsometryEquiv_symm_apply_single_one, nndist_midpoint_midpoint_le', Matrix.PosDef.commute_iff, AddChar.tendsto_eval_one_sub_pow, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, LipschitzOnWith.extend_lp_infty, NormedSpace.inclusionInDoubleDualWeak_apply, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, dist_homothety_self, MeasureTheory.condExpIndL1_smul, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Affine.Simplex.orthogonalProjection_circumcenter, ContinuousMap.toLp_norm_eq_toLp_norm_coe, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, summable_pow_div_add, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, mahler_natCast_eq, Affine.Triangle.prod_dist_eq_prod_dist_of_mem_line_of_mem_line, PadicInt.coe_adicCompletionIntegersEquiv_apply, HasFPowerSeriesWithinAt.sub, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', NormedSpace.algebraMap_exp_comm, fourierCoeff_toLp, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, AddChar.wInner_cWeight_eq_one_iff_eq, Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter, iteratedDerivWithin_one_div, iteratedFDerivWithin_two_apply', PadicInt.mahlerTerm_one, curveIntegral_fun_neg, LinearPMap.IsFormalAdjoint.le_adjoint, Matrix.instFiniteElemRealSpectrum, HasStrictFDerivAt.to_implicitFunction, dist_self_homothety, differentiableWithinAt_euclidean, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_exists_dist_eq, iteratedDerivWithin_fun_id, DoubleCentralizer.neg_toProd, LinearPMap.adjointDomainMkCLM_apply, Matrix.isPositive_toEuclideanLin_iff, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, RCLike.re_eq_add_conj, PiTensorProduct.dualSeminorms_bounded, NormedSpace.exp_sum, CommCStarAlgebra.toStarModule, FormalMultilinearSeries.radius_neg, GromovHausdorff.ghDist_eq_hausdorffDist, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, Summable.multipliableLocallyUniformlyOn_one_add, EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eq, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, PadicInt.zmodRepr_spec, MeasureTheory.integral_condExpL2_eq_of_fin_meas_real, iteratedFDerivWithin_succ_apply_left, PadicSeq.equiv_zero_of_val_eq_of_equiv_zero, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, derivWithin_pow_field, Summable.multipliableLocallyUniformlyOn_nat_one_add, iteratedDeriv_comp_neg, logDeriv_id, EisensteinSeries.summable_one_div_norm_rpow, HasFDerivAtFilter.fun_sub, Int.toNat_add_toNat_neg_eq_norm, PadicInt.norm_natCast_zmodRepr_eq_one_iff, Matrix.posDef_iff_eq_conjTranspose_mul_self, MeasureTheory.condExpIndL1_smul', Int.instNormMulClass, hasDerivAt_id, HasFTaylorSeriesUpToOn.fderivWithin, deriv_update, orthonormal_subtype_iff_ite, Summable.hasProdLocallyUniformlyOn_one_add, nndist_lineMap_right, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, Summable.multipliableUniformlyOn_one_add, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, PadicInt.nthHomSeq_mul, norm_fderiv_iteratedFDeriv, curveIntegralFun_neg, binomialSeries_radius_eq_top_of_nat, MeasureTheory.Lp.norm_constL_le, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, Matrix.l2_opNNNorm_def, HasStrictFDerivAt.const_sub, Submodule.coe_inner, fderiv_sub, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, KuratowskiEmbedding.embeddingOfSubset_isometry, ContMDiffAt.clm_precomp, MeasureTheory.condExpL2_indicator_of_measurable, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, iter_deriv_pow', NormedAlgebra.toMulAlgebraNorm_apply, EuclideanGeometry.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, MeasureTheory.condExp_ae_eq_condExpL1CLM, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, AffineIsometry.norm_map, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, AffineSubspace.isometryEquivMap.coe_apply, Padic.mk_eq, deriv_neg'', Submodule.sndL_comp_coe_orthogonalDecomposition, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, PadicInt.limNthHom_spec, GromovHausdorff.eq_toGHSpace, MeasureTheory.L1.tendsto_setToL1, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', MeasureTheory.condExpL1CLM_indicatorConst, MeasureTheory.L1.nnnorm_Integral_le_one, RCLike.ofReal_alg, SchwartzMap.smulLeftCLM_add, UnitAddTorus.hasSum_mFourier_series_L2, norm_fderivWithin_iteratedFDerivWithin, MeasureTheory.instCompleteSpaceSubtypeAEEqFunMemAddSubgroupLpSubmoduleLpMeasOfFactLeMeasurableSpace, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasFiniteFPowerSeriesOnBall.neg, MeasureTheory.L1.setToL1_unique, ContinuousLinearMap.le_def, AffineMap.derivWithin, coe_lpPiLpₗᵢ, Matrix.PosSemidef.kronecker, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv, RCLike.sqrt_neg_one, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ContinuousLinearMap.lpPairing_eq_integral, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, InnerProductSpace.rankOne_def', EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, ContinuousLinearMap.holder_smul_right, HasFPowerSeriesWithinOnBall.const_smul, fderiv_apply_one_eq_deriv, EulerProduct.eulerProduct_hasProd_mulIndicator, HasFPowerSeriesOnBall.sub, Submodule.norm_orthogonalProjection_apply, EisensteinSeries.isBigO_linear_add_const_vec, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', meromorphicTrailingCoeffAt_id_sub_const, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, fderiv_continuousMultilinear_apply_const_apply, PadicComplex.instIsScalarTowerPadicPadicAlgCl, MeasureTheory.condExpL1CLM_lpMeas, HasStrictFDerivAt.fun_sub, Matrix.IsHermitian.spectrum_eq_image_range, logDeriv_id', RCLike.isCauSeq_im, StrongDual.toLpₗ_apply, MeasureTheory.L1.setToL1_apply_coeToLp, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, PadicInt.fwdDiff_iter_le_of_forall_le, DoubleCentralizer.sub_toProd, Valued.integer.coe_span_singleton_eq_closedBall, PadicInt.mem_span_pow_iff_le_valuation, HasFTaylorSeriesUpToOn.add, NormedSpace.norm_expSeries_summable', formalMultilinearSeries_geometric_eq_ofScalars, Matrix.posSemidef_gram, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, DifferentiableWithinAt.clm_comp, MDifferentiableOn.cle_arrowCongr, MeasureTheory.L1.setToL1_congr_left', Submodule.det_reflection, Finset.norm_prod_le', deriv_neg', fderivWithin_neg, Submodule.inner_orthogonalProjection_eq_of_mem_left, CurveIntegrable.fun_neg, AffineSubspace.subtypeₐᵢ_linear, CauSeq.cauchySeq, EisensteinSeries.r_mul_max_le, MDifferentiableAt.clm_precomp, Padic.toEquiv_withValUniformEquiv_eq_toEquiv_withValRingEquiv, LinearPMap.isSelfAdjoint_def, PadicInt.norm_intCast_eq_one_iff, DirectSum.IsInternal.subordinateOrthonormalBasis_def, SchwartzMap.compSubConstCLM_comp, EisensteinSeries.norm_symm, summable_norm_pow_mul_geometric_div_one_sub, Asymptotics.isEquivalent_nat_floor, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, MeasureTheory.L1.setToL1_congr_left, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, Matrix.exp_conj, mdifferentiableOn_continuousLinearMapCoordChange, fderiv_deriv, PadicComplex.norm_eq_norm', ContDiffAt.hasStrictFDerivAt_implicitFunction, MeasureTheory.L1.setToL1_smul, PadicInt.isUnit_den, continuous_barycentric_coord, PadicSeq.not_limZero_const_of_nonzero, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, InnerProductSpace.isStarProjection_rankOne_self, RCLike.norm_natCast, Rat.padicValuation_eq_zero_iff, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, PadicInt.norm_le_pow_iff_mem_span_pow, iteratedDerivWithin_pow, FormalMultilinearSeries.zero_radius, PadicInt.zmodRepr_natCast, RCLike.ofReal_intCast, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, ContinuousLinearMap.coeFn_compLpL, Real.Lp.fourierTransformCLM_apply, PadicInt.valuation_one, deriv_single, PadicInt.norm_natCast_zmodRepr_eq, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, DoubleCentralizer.sub_fst, Asymptotics.IsEquivalent.exists_eq_mul, isCauSeq_iff_cauchySeq, fderiv_continuousAlternatingMap_apply_apply, Submodule.starProjection_orthogonal, HasFDerivWithinAt.clm_comp, LinearMap.mem_polar_singleton, ContinuousLinearMap.evalL_apply, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left', Submodule.ClosedComplemented.of_finiteDimensional, ContinuousAffineMap.hasFDerivAtFilter, hasStrictFDerivAt_ringInverse, PadicInt.ker_toZModPow, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, InnerProductSpace.rankOne_comp_rankOne, EuclideanGeometry.dist_eq_iff_dist_orthogonalProjection_eq, LipschitzOnWith.coordinate, parallelogram_law, AnalyticAt.hasFPowerSeriesAt, Asymptotics.IsTheta.listProd, Matrix.toEuclideanLin_eq_toLin, LinearMap.mkContinuous_norm_le', StrongDual.toLpₗ_of_not_memLp, Matrix.isHermitian_iff_isSymmetric, ContinuousAffineMap.hasFDerivAt, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, Polynomial.cyclotomic_eq_minpoly_rat, Matrix.IsHermitian.cfcHom_eq_cfcAux, hasStrictFDerivAt_finset_prod, fderiv_fun_neg, Valued.integer.norm_unit, Matrix.finite_real_spectrum, deriv_zpow, PadicSeq.stationaryPoint_spec, InnerProductSpace.rankOne_comp, inner_eq_neg_one_iff_of_norm_eq_one, ContinuousAffineMap.norm_image_zero_le, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, MeasureTheory.integrable_condExpL2_of_isFiniteMeasure, SchwartzMap.tsupport_smulLeftCLM_subset, PadicInt.hasSum_mahler, HasMFDerivAt.sub, InnerProductSpace.toMatrix_rankOne, differentiableAt_euclidean, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, dist_pointReflection_right, EuclideanGeometry.orthogonalProjection_mem, InnerProductSpace.isSymmetric_rankOne_self, fun_iteratedFDerivWithin_sub_apply, inner_eq_one_iff_of_norm_eq_one, fderiv_const_sub, HasFPowerSeriesAt.deriv, Affine.Simplex.orthogonalProjectionSpan_restrict, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, PadicAlgCl.valuation_def, AnalyticAt.exists_eq_sum_add_pow_mul, ContinuousLinearMap.intervalIntegral_apply, span_fourierLp_closure_eq_top, HasFDerivWithinAt.sub, HasFDerivAtFilter.fun_neg, fderivWithin_continuousAlternatingMap_apply_apply, SchwartzMap.smulLeftCLM_neg, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, MeasureTheory.aestronglyMeasurable_condExpL1CLM, HasFPowerSeriesAt.const_smul, curveIntegralFun_sub, RCLike.ofReal_one, ContinuousAffineMap.snd_decompLinearIsometryEquiv, logDeriv_inv, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, differentiableOn_euclidean, fderiv_continuousLinearEquiv_comp, deriv_clm_comp, PadicInt.instNormOneClass, RCLike.natCast_im, tsum_prod_pow_eq_tsum_sigma, PadicAlgCl.valuation_coe, MeasureTheory.integrable_condExpL2_indicator, spectrum.hasFDerivAt_resolvent, PadicComplex.coe_zero, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, coe_lpBCFₗᵢ_symm, coe_lpPiLpₗᵢ_symm, Matrix.posSemidef_iff_eq_sum_vecMulVec, SchwartzMap.pairing_continuous_left, Matrix.ofLp_toEuclideanLin_apply, ContinuousAffineMap.fderivWithin, SchwartzMap.integralCLM_apply, MeasureTheory.lpNorm_one, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, RCLike.norm_two, EuclideanGeometry.exists_dist_eq_iff_exists_dist_orthogonalProjection_eq, HasStrictFDerivAt.hasStrictDerivAt, ContinuousMap.spectrum_eq_range, LinearMap.mkContinuous_norm_le, AffineSubspace.linear_equivMapOfInjective, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, fderivWithin_derivWithin, RCLike.sqrt_neg_I, MeasureTheory.MemLp.condExpL2_ae_eq_condExp', fderiv_continuousMultilinearMapCompContinuousLinearMap, ContinuousMultilinearMap.opNorm_neg, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, HasFDerivAt.fun_neg, contDiff_nat_iff_continuous_differentiable, SchwartzMap.lineDerivOp_fourierInv_eq, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, iteratedDeriv_comp_const_sub, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, OrthonormalBasis.repr_symm_single, NumberField.canonicalEmbedding.norm_le_iff, tendsto_tprod_one_add_of_dominated_convergence, MeasureTheory.L1.norm_setToL1_le_mul_norm', AffineIsometryEquiv.toAffineEquiv_injective, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, iter_deriv_inv, ContinuousLinearMap.norm_compL_le, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, Matrix.IsHermitian.spectrum_real_eq_range_eigenvalues, fderivWithin_clm_comp, RCLike.sqrt_I, HasFPowerSeriesAt.sub, Matrix.PosDef.kronecker, HasStrictFDerivAt.fun_neg, hasDerivWithinAt_zpow, OrthogonalFamily.range_linearIsometry, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, NormedField.v_eq_valuation, fderiv_continuousMultilinear_apply_const, RCLike.nnnorm_two, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, HasDerivWithinAt.fun_pow, MeasureTheory.lpTrimToLpMeas_ae_eq, AffineIsometry.toContinuousAffineMap_injective, iteratedDeriv_eq_iteratedFDeriv, SchwartzMap.compCLM_apply, EuclideanGeometry.orthogonalProjection_orthogonalProjection, iter_deriv_inv', MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, TemperedDistribution.fourierMultiplierCLM_apply_apply, WeakDual.CharacterSpace.mem_spectrum_iff_exists, ContMDiff.clm_postcomp, EuclideanGeometry.orthogonalProjection_vsub_mem_direction, MeasureTheory.lpNorm_div_natCast, PadicSeq.lift_index_left, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_measure, fun_iteratedFDeriv_sub_apply, fderivWithin_continuousAlternatingMap_apply_const, dist_left_lineMap, MDifferentiableWithinAt.clm_postcomp, cosetToCuspOrbit_apply_mk, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_dist_eq, deriv_pow_field, ZSpan.repr_fract_apply, HasFPowerSeriesAt.hasDerivAt, ordinaryHypergeometricSeries_eq_zero_iff, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, MeasureTheory.L1.norm_setToL1_le', MeasureTheory.withDensitySMulLI_apply, ContinuousMap.comp_attachBound_mem_closure, ContinuousLinearMap.spectralRadius_eq_nnnorm, PadicInt.norm_sub_modPart, Polynomial.X_pow_sub_X_sub_one_irreducible_rat, ContinuousLinearMap.spectrum_eq, PadicInt.norm_p, OrthonormalBasis.span_apply, Padic.withValUniformEquiv_cast_apply, HasFDerivAt.hasDerivAt, EuclideanGeometry.vsub_orthogonalProjection_mem_direction, PadicInt.valuation_p_pow_mul, spectrum.exp_mem_exp, BoundedContinuousFunction.star_mem_range_charAlgHom, Matrix.IsHermitian.cfcAux_id, ContinuousMap.adjoin_id_eq_span_one_add, IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single, Padic.coe_withValRingEquiv, HasFPowerSeriesWithinOnBall.neg, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, PadicInt.fwdDiff_mahlerSeries, deriv_id, SchwartzMap.fderivCLM_fourier_eq, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, EuclideanGeometry.Sphere.orthRadius_map, PadicComplex.RankOne.hom_eq_embedding, AffineSubspace.subtypeₐᵢ_linearIsometry, PadicInt.zmodRepr_natCast_zmodRepr, MDifferentiableOn.clm_precomp, PadicInt.pow_p_dvd_int_iff, Asymptotics.isEquivalent_iff_tendsto_one, hasDerivAt_neg, LinearMap.derivWithin, hasFTaylorSeriesUpToOn_succ_iff_left, Padic.isUniformInducing_cast_withVal, iteratedFDeriv_sub, deriv_clm_apply, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, derivWithin_fun_pow, EuclideanGeometry.Sphere.IsTangent.isTangentAt, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, Polynomial.cyclotomic.irreducible_rat, HilbertBasis.repr_self, fderivWithin_sub, MeasureTheory.condExpInd_smul', MeasureTheory.L1.setToL1_add_left, iteratedFDerivWithin_sub_apply, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, Valued.toNormedField.norm_def, HasFDerivAt.const_sub, PadicInt.p_nonunit, LinearPMap.adjointDomainMkCLMExtend_apply, PadicInt.limNthHom_one, BoundedContinuousFunction.toLp_norm_le, iteratedFDerivWithin_two_apply, PadicAlgCl.charZero, curveIntegral_fun_sub, PadicComplex.norm_extends, Submodule.adjoint_orthogonalProjection, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime, EuclideanGeometry.reflection_apply', AffineIsometryEquiv.ofEq_rfl, ContinuousAffineMap.differentiableOn, ContinuousLinearMap.hasFDerivAt_of_bilinear, Unitization.instNormOneClass, EuclideanGeometry.oangle_self_orthogonalProjection, ContinuousAffineMap.norm_comp_le, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, Matrix.toEuclideanLin_apply_piLp_toLp, PadicSeq.add_eq_max_of_ne, hasFDerivAt_integral_of_dominated_of_fderiv_le, LinearIsometry.strictConvexSpace_range_iff, Affine.Simplex.altitude_map, hasDerivAt_pow, PadicInt.norm_sub_zmodRepr_lt_one, ftaylorSeries_zero, PadicInt.mahlerEquiv_apply, MeasureTheory.L1.norm_setToL1_le_mul_norm, AffineIsometry.toAffineMap_injective, AffineIsometryEquiv.toAffineEquiv_refl, EisensteinSeries.abs_le_left_of_norm, limit_zero_of_norm_tendsto_zero, hasStrictDerivAt_exp, nndist_lineMap_lineMap, isCoveringMap_npow, Irreducible.maximalIdeal_eq_closedBall, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left', HasDerivWithinAt.pow, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, AffineMap.differentiableOn, iteratedDeriv_comp_three, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, HasFPowerSeriesWithinAt.neg, PadicInt.isCauSeq_padicNorm_of_pow_dvd_sub, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, logDeriv_fun_zpow, OrthonormalBasis.inner_eq_one, orthogonalFamily_iff_pairwise, fderiv_clm_apply, EisensteinSeries.abs_norm_eq_max_natAbs, iteratedDerivWithin_id, Padic.coe_withValRingEquiv_symm, HasFiniteFPowerSeriesAt.sub, ContinuousLinearMap.norm_compSL_le, Matrix.IsHermitian.eigenvalues_mem_spectrum_real, MeasureTheory.norm_condExpInd_le, Affine.Simplex.orthogonalProjectionSpan_reindex, OrthonormalBasis.coe_toBasis_repr, Valued.integer.isUnit_iff_norm_eq_one, hasStrictFDerivAt_list_prod, Summable.hasProdLocallyUniformlyOn_nat_one_add, InnerProductSpace.isIdempotentElem_rankOne_self_iff, fderivWithin_continuousLinearEquiv_comp, MeasureTheory.inner_condExpL2_eq_inner_fun, StrongDual.toLp_apply, MeasureTheory.mem_lpMeas_self, ContinuousLinearMap.IsPositive.spectrumRestricts, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, MeasureTheory.integrableOn_condExpL2_of_measure_ne_top, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, LinearIsometry.strictConvexSpace_range, ContinuousLinearMap.opNorm_neg, MeasureTheory.condExpInd_disjoint_union_apply, Submodule.fstL_comp_coe_orthogonalDecomposition, iter_deriv_inv_linear_sub, ContinuousLinearMap.add_compLpL, MeasureTheory.L1.setToL1_simpleFunc_indicatorConst, IsHilbertSum.linearIsometryEquiv_symm_apply_single, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left, UnitAddTorus.mFourierBasis_repr, EuclideanGeometry.orthogonalProjection_linear, MeasureTheory.lpNorm_natCast_mul, DoubleCentralizer.natCast_toProd, OrthonormalBasis.sum_rankOne_eq_id, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, AffineSubspace.signedInfDist_def, iteratedDeriv_id, PadicInt.nthHomSeq_add, MeasureTheory.L1.setToL1_zero_left', MeasureTheory.BoundedContinuousFunction.inner_toLp, exists_extension_norm_eq, AnalyticOn.hasFPowerSeriesOnBall, hasStrictDerivAt_exp_zero_of_radius_pos, MeasureTheory.L1.norm_Integral_le_one, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, SchwartzMap.tsupport_derivCLM_subset, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, ContinuousAffineMap.fst_decompLinearIsometryEquiv, hasDerivAt_single, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, orthonormal_iff_ite, Int.norm_coe_units, hasStrictDerivAt_exp_of_mem_ball, AffineIsometryEquiv.coe_symm_toContinuousAffineEquiv, NormedSpace.algebraMap_exp_comm_of_mem_ball, ContinuousMap.polynomial_comp_attachBound, EisensteinSeries.abs_norm_eq_max_natAbs_neg, ContinuousAffineMap.hasFDerivWithinAt, inner_self_eq_one_of_norm_one, Complex.isOpenQuotientMap_pow_compl_zero, isOpenMap_barycentric_coord, Affine.Simplex.signedInfDist_affineCombination, EuclideanGeometry.angle_self_orthogonalProjection, Valued.toNormedField.setOf_mem_integer_eq_closedBall, LinearMap.IsSymmetric.charpoly_eq, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, ordinaryHypergeometric_radius_top_of_neg_nat₁, HasFPowerSeriesAt.eq_zero, MeasureTheory.L1.setToL1_mono, continuous_descPochhammer_eval, EuclideanGeometry.orthogonalProjection_eq_self_iff, Padic.norm_rat_le_one_iff_padicValuation_le_one, PadicInt.norm_natCast_eq_one_iff, Matrix.IsHermitian.posDef_iff_eigenvalues_pos, EuclideanGeometry.reflection_subtype, DoubleCentralizer.sub_snd, ContinuousLinearEquiv.coord_norm', deriv_fun_pow, fderivWithin_continuousAlternatingMap_apply, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, Rat.surjective_padicValuation, hasStrictFDerivAt_inv', AffineIsometryEquiv.coe_vaddConst', SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, SchwartzMap.smulLeftCLM_apply_apply, deriv_descPochhammer_eval_eq_sum_prod_range_erase, Module.Basis.ofZLatticeBasis_repr_apply, derivWithin_id, dist_midpoint_midpoint_le', iteratedDeriv_fun_pow_zero, SchwartzMap.fourier_fderivCLM_eq, NumberField.InfinitePlace.map_intCast, iteratedFDeriv_two_apply, AffineSubspace.isometryEquivMap.apply_symm_apply, RCLike.instNormSMulClassInt, iter_deriv_inv_linear, AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, Summable.hasProdUniformlyOn_one_add, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, PadicInt.nthHomSeq_one, MDifferentiable.clm_precomp, PadicInt.ideal_eq_span_pow_p, dist_right_lineMap, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, RCLike.nnnorm_natCast, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, ContinuousLinearMap.smul_compLpL, AddChar.wInner_cWeight_eq_boole, EuclideanSpace.restrict₂_apply, PadicSeq.norm_const, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, ContinuousMap.polynomial_comp_attachBound_mem, mul_comm, ContinuousLinearMap.opNorm_mulLeftRight_le, DoubleCentralizer.intCast_fst, ContinuousLinearMap.norm_compLpL_le, meromorphicOrderAt_const_intCast, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left, PadicSeq.norm_one, MeasureTheory.setIntegral_condExpL1CLM, ContMDiffWithinAt.clm_precomp, AffineIsometryEquiv.norm_map, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, MeasureTheory.lpMeasToLpTrim_ae_eq, MeasureTheory.eLpNorm_condExpL2_le, Asymptotics.IsEquivalent.listProd, iteratedFDeriv_sub_apply, closure_diff_intrinsicInterior, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, ContinuousLinearEquiv.coord_self, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, SchwartzMap.smulLeftCLM_ofReal, ContDiffAt.differentiableAt_iteratedFDeriv, ContinuousLinearEquiv.coord_norm, MeasureTheory.lpNorm_one', MeasureTheory.lpMeasToLpTrim_smul, PadicInt.continuousAddCharEquiv_apply, LinearPMap.mem_adjoint_domain_iff, spectrum.hasDerivAt_resolvent_const_right, ContMDiff.clm_precomp, PadicInt.complete, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, NormedSpace.expSeries_hasSum_exp_of_mem_ball', KuratowskiEmbedding.exists_isometric_embedding, EuclideanGeometry.orthogonalProjection_apply, PadicInt.denseRange_intCast, OrthonormalBasis.coe_singleton, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono, ContinuousLinearMap.hasDerivWithinAt, Submodule.norm_orthogonalProjection, PadicComplex.nnnorm_extends', prod_vanishing_of_summable_norm, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, EuclideanGeometry.orthogonalProjection_mem_orthogonal, PadicSeq.norm_zero_iff, hasDerivAt_exp_zero, NormedSpace.double_dual_bound, Matrix.cstar_norm_def, AffineIsometryEquiv.toAffineEquiv_symm, SchwartzMap.smulLeftCLM_apply, ZSpan.repr_floor_apply, MeasureTheory.condExpIndSMul_ae_eq_smul, HasFTaylorSeriesUpTo.fderiv, ContinuousLinearMap.rayleighQuotient_neg_apply, lipschitzWith_lineMap, ContinuousLinearMap.norm_holderL_le, NormedSpace.exp_add_of_mem_ball, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, NormedField.valuation_apply, LinearMap.polar_mem_iff, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, MeasureTheory.lpMeas.ae_fin_strongly_measurable', hasStrictDerivAt_id, curveIntegral_sub, Matrix.IsHermitian.charpoly_eq, TemperedDistribution.derivCLM_apply_apply, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, MeasureTheory.L1.setToL1'_eq_setToL1SCLM, deriv_neg, AffineIsometryEquiv.toContinuousAffineEquiv_injective, ContinuousLinearMap.finite_dimensional_eigenspace, dist_midpoint_left, LinearPMap.mem_adjoint_domain_of_exists, LinearMap.hasDerivAt, IsCovariantDerivativeOn.affine_combination, LinearMap.hasDerivAtFilter, CurveIntegrable.sub, PadicInt.unitCoeff_spec, HasFPowerSeriesAt.locally_zero_iff, PadicInt.norm_natCast_zmodRepr_eq_iff, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, hasDerivAt_exp_of_mem_ball, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, AffineSubspace.equivMapOfInjective_toFun, ordinaryHypergeometricSeries_norm_div_succ_norm, MeasureTheory.L1.SimpleFunc.setToL1SCLM_nonneg, nndist_right_midpoint, MeasureTheory.ContinuousMap.inner_toLp, EuclideanGeometry.orthogonalProjection_sup_of_orthogonalProjection_eq, hasFDerivAt_inv', Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Matrix.IsStrictlyPositive.posDef, inner_eq_one_iff_of_norm_one, exists_continuousLinearEquiv_fderiv_symm_eq, FormalMultilinearSeries.rightInv_coeff, hasDerivAt_zpow, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, mfderiv_neg, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, ContDiffOn.differentiableOn_iteratedFDerivWithin, NormedSpace.expSeries_summable_of_mem_ball', Finset.norm_prod_le, Matrix.l2_opNorm_def, PadicSeq.stationary, OrthogonalFamily.linearIsometry_apply, HasFiniteFPowerSeriesOnBall.sub, Matrix.toEuclideanLin_toLp, ContinuousLinearMap.holderL_apply_apply, ZSpan.coe_fract_self, CauchySeq.isCauSeq, AffineMap.antilipschitzWith_of_finiteDimensional, MeasureTheory.condExpInd_empty, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, MeasureTheory.condExpL1CLM_smul, AffineSubspace.subtypeₐᵢ_toAffineMap, BoundedContinuousFunction.separatesPoints_charPoly, HasStrictFDerivAt.sub, ContMDiffWithinAt.cle_arrowCongr, antilipschitzWith_lineMap, Submodule.starProjection_coe_eq_isCompl_projection, HasFDerivAt.neg, RCLike.normSq_one, AffineMap.deriv, Submodule.ClosedComplemented.of_quotient_finiteDimensional, Summable.multipliableUniformlyOn_nat_one_add, ContinuousLinearMap.apply_apply', PadicComplex.nnnorm_extends, LinearMap.posSemidef_toMatrix_iff, Int.instNormOneClass, SchwartzMap.fourier_convolution, UnitAddTorus.span_mFourierLp_closure_eq_top, PadicInt.coe_dpow_eq, RCLike.charZero_rclike, fderivWithin_clm_apply, CommCStarAlgebra.toCompleteSpace, exists_continuousLinearEquiv_fderivWithin_symm_eq, hasFDerivAt_exp, RCLike.isCauSeq_re, fderiv_continuousAlternatingMap_apply_const_apply, ZSpan.mem_fundamentalDomain, IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, PadicInt.norm_natCast_p_sub_one, LinearMap.polar_mem, Submodule.IsCompl.projection_isSymmetric_iff, MeasureTheory.lpMeas.ae_eq_zero_of_forall_setIntegral_eq_zero, PadicInt.prime_p, MeasureTheory.condExpIndL1Fin_smul', Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, RKHS.posSemidef_kernel, Submodule.norm_subtypeL_le, ContinuousLinearMap.hasStrictDerivAt, AffineIsometry.coe_toContinuousAffineMap, HasStrictFDerivAt.clm_comp, MeasureTheory.L1.integral_eq, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, logDeriv_pow, derivWithin_pow, constFormalMultilinearSeries_zero, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, ContinuousMultilinearMap.instIsTopologicalAddGroup, LinearPMap.adjointAux_inner, AffineIsometry.image_intrinsicFrontier, EuclideanGeometry.orthogonalProjection_eq_iff_mem, nndist_self_homothety, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, PadicSeq.norm_mul, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, MeasureTheory.L1.setToL1'_apply_coeToLp, RCLike.I_mul_I_of_nonzero, SchwartzMap.denseRange_toLpCLM, EisensteinSeries.vec_add_const_isTheta, ContinuousLinearMap.norm_precompL_le, Padic.const_equiv, ContinuousLinearMap.apply_apply, MeasureTheory.L1.setToL1_const, intrinsicClosure_eq_closure, RCLike.span_one_I, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, IsSymmSndFDerivWithinAt.eq, fderivWithin_restrictScalars_comp, EisensteinSeries.summand_bound, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, hasStrictDerivAt_exp_zero, Submodule.orthogonalProjection_norm_le, DoubleCentralizer.intCast_toProd, ContinuousAffineMap.differentiableAt, Matrix.PosDef.posDef_sqrt, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, derivWithin_clm_apply, RCLike.intCast_im, ContinuousMap.idealOfSet_ofIdeal_eq_closure, finrank_euclideanSpace_fin, MeasureTheory.L1.setToL1_lipschitz, MeasureTheory.norm_condExpL2_le_one, Padic.isDenseInducing_cast_withVal, logDeriv_zpow, GromovHausdorff.eq_toGHSpace_iff, MeasureTheory.setToFun_eq, MeasureTheory.condExpL2_comp_continuousLinearMap, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, InnerProductSpace.symm_toEuclideanLin_rankOne, AffineIsometry.id_toAffineMap, ContMDiffAt.cle_arrowCongr, HasFDerivAt.clm_comp, PadicInt.zmodRepr_natCast_of_lt, EuclideanGeometry.reflection_mem_of_le_of_mem, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, nndist_homothety_self, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, EuclideanGeometry.reflection_apply, LinearPMap.adjoint_apply_of_dense, MeasureTheory.condExpL2_const_inner, PadicInt.existsUnique_mem_range, Submodule.coe_prodEquivOfClosedCompl, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, isOpen_setOf_nat_le_rank, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, PadicInt.toZMod_spec, EuclideanGeometry.dist_set_eq_iff_dist_orthogonalProjection_eq, Matrix.IsHermitian.instContinuousFunctionalCalculus, hasStrictDerivAt_pow, PadicComplexInt.integers, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, hasFDerivAt_exp_of_mem_ball, LinearMap.exists_map_addHaar_eq_smul_addHaar', MeasureTheory.Lp.toTemperedDistribution_smul_eq, NormedSpace.dual_def, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, HasFDerivAtFilter.hasDerivAtFilter, AffineMap.isOpenMap, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, ContinuousMap.idealOpensGI_choice, Submodule.ClosedComplemented.of_isCompl_isClosed, TensorProduct.toLinearMap_mapInclIsometry, Int.Matrix.exists_ne_zero_int_vec_norm_le, LinearPMap.adjoint_graph_eq_graph_adjoint, MeasureTheory.condExpL1_eq, PadicInt.zmodRepr_eq_zero_iff_dvd, orthonormal_span, TensorProduct.lidIsometry_symm_apply, ContinuousLinearMap.toSesqForm_apply_norm_le, PiTensorProduct.injectiveSeminorm_def, HilbertBasis.hasSum_repr_symm, ContMDiff.cle_arrowCongr, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, dist_lineMap_lineMap, MeasureTheory.condExpL2_indicator_nonneg, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, HasCompactSupport.hasFDerivAt_convolution_left, PadicSeq.eq_zero_iff_equiv_zero, Submodule.coe_prodEquivOfClosedCompl_symm, TemperedDistribution.smulLeftCLM_apply_apply, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, nndist_lineMap_left, PadicComplex.isAlgClosed, OrthonormalBasis.inner_eq_ite, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left', EisensteinSeries.div_max_sq_ge_one, iter_deriv_pow, Rat.padicValuation_le_one_iff, InnerProductSpace.norm_rankOne, HasFDerivAt.fun_sub, hasFDerivAt_integral_of_dominated_loc_of_lip, Submodule.isHilbertSumOrthogonal, DoubleCentralizer.neg_fst, kuratowskiEmbedding.isometry, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContinuousLinearMap.flipAlternating_apply_apply, Valued.integer.norm_irreducible_pos, Int.Matrix.exists_ne_zero_int_vec_norm_le', NormedSpace.exp_add, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, PadicInt.addChar_of_value_at_one_def, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, AffineMap.continuous_of_finiteDimensional, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, niven_fract_angle_div_pi_eq, fderiv_inv', Matrix.permMatrix_l2_opNorm_eq, MeasureTheory.lpMeas.aestronglyMeasurable, AffineIsometryEquiv.coe_toAffineEquiv, Affine.Triangle.dist_orthogonalProjectionSpan_faceOpposite_eq_iff_two_zsmul_oangle_eq, AffineIsometryEquiv.coe_toContinuousAffineEquiv, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, PadicInt.norm_natCast_lt_one_iff, HasStrictDerivAt.fun_pow
toSeminormedCommRing 📖	CompOp	6407 math math: ArithmeticFunction.vonMangoldt.residueClass_eq, withSeminorms_iff_mem_nhds_isVonNBounded, SchwartzMap.norm_toLp_le_seminorm, Polynomial.fderiv, logDeriv_tprod_eq_tsum, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, LinearMap.det_toContinuousLinearMap, HasDerivAt.fun_neg, ValueDistribution.logCounting_zero, instSeparatingDual, hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, ContMDiffAt.coordChangeL, MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal, HurwitzZeta.hasSum_int_hurwitzZetaOdd, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, LinearMap.IsSymmetric.clm_adjoint_eq, Real.differentiableOn_arcosh, isEquivalent_descFactorial, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, Real.hasDerivAt_arccos, AbsoluteValue.IsEquiv.isEmbedding_equivWithAbs, WeakFEPair.differentiableAt_Λ, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, HasSum.exp, TemperedDistribution.lineDerivOpCLM_eq, continuousSMul_sphere_ball, BoundedContinuousFunction.tietze_extension_step, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, MeasureTheory.Lp.toTemperedDistributionCLM_apply, IsKrasner.of_completeSpace_of_normal, InformationTheory.integrable_klFun_rnDeriv_iff, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Orientation.kahler_map_complex, Polynomial.differentiableWithinAt, MeasureTheory.convolution_flip, HasStrictDerivAt.fun_pow', DifferentiableOn.zpow, FormalMultilinearSeries.comp_rightInv_aux1, tendsto_zero_iff_meromorphicOrderAt_pos, AnalyticAt.tendsto_mul_logDeriv_simple_zero, MDifferentiable.coordChangeL, UpperHalfPlane.mdifferentiable_num, hasSum_mellin_pi_mul_sq', MeasureTheory.Integrable.integral_norm_prod_right, Complex.cos_eq_tsum, MeasureTheory.setToFun_add_left, Seminorm.isBounded_const, ContinuousAt.inner, isConformalMap_conj, LinearMap.mkContinuous₂_norm_le', MeasureTheory.eLpNorm'_norm, NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, HasDerivWithinAt.clog_real, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, ContinuousLinearMap.derivWithin_of_bilinear, Bundle.ContMDiffRiemannianMetric.isVonNBounded, HasDerivWithinAt.clm_comp, NormedSpace.isBounded_polar_of_mem_nhds_zero, SchwartzMap.lineDerivOpCLM_eq, HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div, Valued.instIsUltrametricDist, TensorProduct.enorm_lid, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, differentiableAt_comp_neg, deriv_exp, continuousAt_const_cpow, hasDerivWithinAt_Iio_iff_Iic, cfcₙL_integral, HasDerivAt.ccos, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, Real.integrableOn_rpowIntegrand₀₁_Ioi, LinearMap.mkContinuous₂_apply, Matrix.frobenius_nnnorm_mul, ZMod.differentiableAt_LFunction, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Complex.differentiableAt_sin, Complex.tendsto_log_nhdsWithin_im_neg_of_re_neg_of_im_zero, HasMFDerivAt.mul, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, Complex.norm_circleTransformBoundingFunction_le, continuousOn_stereoToFun, InnerProductSpace.isPositive_rankOne_self, ModularForm.smul_slash, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, Seminorm.absorbent_closedBall_zero, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, MonotoneOn.intervalIntegral_slope_le, HasDerivAt.const_rpow, Distribution.delta_apply, LeftInvariantDerivation.lift_zero, contDiffAt_prod', ProbabilityTheory.isGaussian_iff_gaussian_charFun, Complex.isOpen_re_lt_EReal, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, Real.differentiable_arctan, norm_cfcₙHom, HasFDerivWithinAt.continuousMultilinearMap_apply, RCLike.map_apply, IsUltrametricDist.isNonarchimedean_invariantExtension, MDifferentiableOn.clm_postcomp, differentiable_const_cpow_of_neZero, Real.differentiableAt_mulExpNegMulSq, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, 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, RCLike.geometric_hahn_banach_point_open, HasDerivAt.const_sub, hasDerivWithinAt_add_const_iff, IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, FormalMultilinearSeries.comp_partialSum, CuspFormClass.holo, HasDerivAtFilter.sum, NumberField.mixedEmbedding.lintegral_comp_polarCoord_symm, 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', MeasureTheory.Integrable.fin_nat_prod, HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, ModularFormClass.differentiableAt_comp_ofComplex, deriv_arctan, WithSeminorms.image_isVonNBounded_iff_seminorm_bounded, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, Asymptotics.IsEquivalent.zpow, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, Real.differentiableAt_arcsin, LinearMap.toLinearMap_tracePositiveLinearMap, hasStrictDerivAt_intCast, Complex.linearEquiv_det_conjLIE, LeftInvariantDerivation.leibniz, Ideal.toCharacterSpace_apply_eq_zero_of_mem, MeasureTheory.convolution_eq_right', hasStrictFDerivAt_exp_of_mem_ball, EisensteinSeries.hasSum_e2Summand_symmetricIcc, DifferentiableWithinAt.log, hasFDerivAt_iff_hasGradientAt, ConvexOn.le_slope_of_hasDerivAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, RCLike.reCLM_apply, HasStrictDerivAt.rpow, NumberField.Units.finrank_eq_rank, StrictConvexOn.slope_lt_leftDeriv, HurwitzZeta.differentiableAt_hurwitzZetaEven, curveIntegral_smul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, Real.fourierCoeff_tsum_comp_add, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, RCLike.separate_convex_open_set, NumberField.canonicalEmbedding.mem_span_latticeBasis, Real.fderiv_fourierIntegral, Differentiable.fun_div, Finset.analyticOnNhd_prod, MeasureTheory.taylor_charFun_two, InnerProductSpace.rankOne_one_left_eq_innerSL, ContDiff.fderiv_succ, ConvexOn.rightDeriv_le_slope_of_mem_interior, PeriodPair.hasSumLocallyUniformly_weierstrassP, ContinuousMap.abs_mem_subalgebra_closure, Subalgebra.spectrum_sUnion_connectedComponentIn, Asymptotics.IsThetaTVS.trans_isBigOTVS, Function.FactorizedRational.divisor, MDifferentiableAt.prod, hasDerivAt_sqrt_mul_log, LinearMap.IsSymmetric.restrictScalars, StrongDual.norm_extendRCLike, LSeries.term_sum, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, ContinuousLinearMap.continuous_det, HurwitzZeta.hasSum_int_cosKernel₀, HasFiniteFPowerSeriesAt.neg, Complex.isOpenMap_im, HasStrictFDerivAt.csin, Polynomial.isEquivalent_atBot_div, SchwartzMap.norm_le_seminorm, ZSpan.volume_real_fundamentalDomain, HurwitzZeta.hasSum_int_hurwitzZetaEven, ContinuousLinearMap.opNorm_bound_of_ball_bound, Complex.ofRealCLM_coe, Complex.kahler, Complex.norm_polarCoord_symm, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.isEmbedding_restrictScalars, HasFDerivWithinAt.pow, RightDerivMeasurableAux.D_subset_differentiable_set, Complex.areaForm, ContDiff.div_const, WeakDual.isCompact_polar, MeromorphicOn.divisor_fun_smul, finrank_real_complex_fact', Real.tsum_eq_tsum_fourier, PeriodPair.deriv_weierstrassP, Bornology.IsVonNBounded.of_sub_left, EuclideanSpace.orthonormal_single, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, HasDerivWithinAt.div_const, Real.deriv_negMulLog, Real.hasDerivAt_sigmoid, ContDiffMapSupportedIn.seminorm_monoLM_eq, PeriodPair.coeff_weierstrassPExceptSeries, Polynomial.derivWithin_aeval, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, HasDerivWithinAt.congr_mono, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, complexOfReal_hasDerivWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, ContinuousLinearEquiv.toCompactConvergenceCLM_symm_apply, Matrix.IsHermitian.det_abs, uniformCauchySeqOn_ball_of_deriv, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, RCLike.ofRealLI_apply, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, Complex.comap_exp_cobounded, hasDerivAt_integral_of_dominated_loc_of_lip, ModularForm.mul_slash, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, deriv_abs, differentiableAt_zpow, hasFDerivAt_multiset_prod, Asymptotics.IsEquivalent.multisetProd, Stirling.factorial_isEquivalent_stirling, MDifferentiableAt.cle_arrowCongr, ProbabilityTheory.covarianceBilinDual_apply', Circle.exp_arg, Real.nnnorm_deriv_mulExpNegMulSq_le_one, spectrum.subset_closedBall_norm_mul, Circle.injective_arg, OrthonormalBasis.repr_injective, continuousSMul_sphere_sphere, derivWithin_id', spectrum.instCompactSpace, Real.deriv_binEntropy, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, HasDerivWithinAt.liminf_right_slope_le, has_pointwise_sum_fourier_series_of_summable, ContinuousLinearMap.continuousSMul, hasFTaylorSeriesUpToOn_top_iff_right, DirichletCharacter.LSeries_eulerProduct_tprod, smoothSheafCommRing.nonunits_stalk, LSeries.term_convolution', MeasureTheory.convolution_mul, Complex.ofRealLI_apply, CuspFormClass.zero_at_infty_comp_ofComplex, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, DifferentiableOn.sqrt, PeriodPair.derivWeierstrassPExcept_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeries, BoundedContinuousFunction.integral_eq_integral_nnrealPart_sub, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, Bornology.isVonNBounded_add_of_nonempty, NumberField.canonicalEmbedding.latticeBasis_apply, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_ne, SchwartzMap.pairing_apply_apply, InnerProductSpace.isIdempotentElem_rankOne_self, norm_iteratedFDerivWithin_smul_le, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, Differentiable.clm_comp, Meromorphic.fun_inv, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, Padic.withValUniformEquiv_norm_le_one_iff, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, ApproximatesLinearOn.lipschitz, summableLocallyUniformlyOn_iteratedDerivWithin_cexp, tendsto_cobounded_iff_meromorphicOrderAt_neg, HasDerivWithinAt.eventually_ne, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, lp.inner_eq_tsum, 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, ContinuousMap.attachBound_apply_coe, 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, span_fourier_closure_eq_top, Complex.GammaSeq_tendsto_Gamma, Function.Periodic.tendsto_nhds_zero, PeriodPair.basis_one, HasDerivAtFilter.comp_hasFDerivAtFilter, StrictConvexOn.deriv_lt_slope, MeromorphicAt.finsum, ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall, ContinuousLinearMapWOT.withSeminorms, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, HasFPowerSeriesOnBall.add, HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, Differentiable.cosh, mdifferentiableAt_iff_localFrame_coeff, IsCovariantDerivativeOn.difference_apply, OpenPartialHomeomorph.hasDerivAt_symm, ContDiffBump.integrable, SchwartzMap.seminorm_le_bound, Bornology.isVonNBounded_add_self, WeakDual.isClosed_image_polar_of_mem_nhds, ZLattice.covolume_eq_det_inv, ContinuousLinearMap.integral_apply, one_add_cpow_hasFPowerSeriesAt_zero, RCLike.algebraMap_eq_ofReal, HasDerivAt.fun_finset_prod, circleIntegrable_iff, LinearMap.polar_eq_iInter, ProbabilityTheory.covarianceBilinDual_apply, 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, MeasureTheory.AEStronglyMeasurable.memLp_truncation, Real.fderiv_fourierChar_neg_bilinear_right_apply, ContMDiffCovariantDerivativeOn.affine_combination, UpperHalfPlane.analyticAt_smul, ProbabilityTheory.isGaussian_multivariateGaussian, WithSeminorms.mem_nhds_iff, BoundedContinuousFunction.char_neg, UpperHalfPlane.isOpenEmbedding_coe, Real.fourier_continuousLinearMap_apply, MeasureTheory.iteratedDeriv_charFun_zero, Unitization.real_cfcₙ_eq_cfc_inr, intervalIntegral.fderiv_integral_of_tendsto_ae, ContDiffAt.fderiv_right_succ, flip_innerSL_real, LipschitzWith.memLp_lineDeriv, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, HasFDerivWithinAt.clm_apply, hasFPowerSeriesOnBall_pi_iff, Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eq, deriv_cpow_const, UpperHalfPlane.deriv_smul, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, differentiableWithinAt_abs_pos, continuousOn_dslope, ContDiffMapSupportedIn.structureMapCLM_apply, iteratedFDerivWithin_succ_eq_comp_right, StrictConcaveOn.lt_slope_of_hasDerivAt, Complex.uniformlyContinuous_im, eventually_enorm_mfderivWithin_symm_extChartAt_lt, HasFPowerSeriesWithinAt.const_smul, Module.Dual.extendRCLikeₗ_symm_apply, ProbabilityTheory.integrable_preCDF, BoundedContinuousFunction.char_zero_eq_one, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, isClosedEmbedding_cfcₙAux, DifferentiableWithinAt.norm, det_fderivPolarCoordSymm, AddChar.wInner_cWeight_self, AddCircle.coe_real_preimage_closedBall_eq_iUnion, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, LeftInvariantDerivation.coe_derivation, innerSL_apply_apply, MeasureTheory.Integrable.neg_part, RCLike.norm_expect_le, HasGradientAt.continuousOn, fderiv_multiset_prod, HasFPowerSeriesWithinOnBall.restrictScalars, NormedSpace.isVonNBounded_iff, ProbabilityTheory.covarianceBilin_multivariateGaussian, DifferentiableWithinAt.sqrt, SeminormFamily.filter_eq_iInf, MeasureTheory.Integrable.norm_integral_condExpKernel, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, inner_sum, Real.differentiable_sinh, HasFTaylorSeriesUpTo.hasFDerivAt, Function.Periodic.cuspFunction_zero_eq_limUnder_nhds_ne, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, norm_iteratedFDerivWithin_clm_apply, UpperHalfPlane.comp_ofComplex_of_im_pos, hasDerivAt_neg', ContMDiffWithinAt.mfderivWithin_const, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContMDiffOn.clm_postcomp, RCLike.geometric_hahn_banach_of_nonempty_interior_point, ContinuousLinearMap.toBilinForm_apply, Seminorm.restrictScalars_closedBall, RCLike.map_same_eq_id, ProbabilityTheory.covarianceBilin_apply_eq_cov, iteratedDerivWithin_comp_two, ContinuousWithinAt.cpow, ProbabilityTheory.covarianceBilin_self, DoubleCentralizer.nnnorm_def', NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isComplex, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, Asymptotics.IsLittleOTVS.tendsto_div, 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, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, 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, DifferentiableOn.deriv, LeftInvariantDerivation.left_invariant', Int.enorm_natCast, StrictConcaveOn.slope_lt_rightDeriv, TemperedDistribution.fourierMultiplierCLM_smul, hasDerivAt_bernoulliFun, Orientation.volumeForm_neg_orientation, hasSum_one_div_nat_pow_mul_fourier, derivWithin_fderivWithin, two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even, DifferentiableOn.cpow_const, MultilinearMap.mkContinuousMultilinear_apply, ContDiffBump.integrable_normed, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg, SchwartzMap.instContinuousSMul, deriv_csinh, ProbabilityTheory.uncenteredCovarianceBilin_apply, Complex.UnitDisc.instSMulCommClass_closedBall_circle, HasFDerivWithinAt.complexOfReal, StrongDual.norm_extendRCLike_bound, TemperedDistribution.lineDerivOp_fourier_eq, Complex.frontier_setOf_re_le, Real.deriv_log, PadicInt.norm_mahlerTerm, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, StrictConvexOn.rightDeriv_lt_slope, HasProdUniformlyOn_sineTerm_prod_on_compact, Seminorm.smul_inf, derivWithin_arctan, 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, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, mdifferentiableOn_symm_coordChangeL, DifferentiableAt.csinh, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, StarAlgebra.elemental.characterSpaceToSpectrum_coe, rotation_injective, Bornology.IsBounded.reProdIm, Circle.ofConjDivSelf_coe, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, intervalIntegral.integrableOn_deriv_of_nonneg, NumberField.mixedEmbedding.mem_idealLattice, fderiv_clm_comp, MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNE, BoxIntegral.unitPartition.mem_smul_span_iff, 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, IsConformalMap.is_complex_or_conj_linear, fderiv_continuousAlternatingMap_apply_const, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_ne, AkraBazziRecurrence.isBigO_apply_r_sub_b, ContinuousLinearMap.nhds_zero_eq_of_basis, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, DifferentiableAt.sigmoid, AffineMap.hasDerivWithinAt, MeromorphicOn.divisor_const, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, ContDiffMapSupportedIn.seminorm_fderivLM_le, MeasureTheory.pdf.IsUniform.mul_pdf_integrable, ProbabilityTheory.integrable_toReal_condExpKernel, instSMulCommClass_sphere_sphere_sphere, Bundle.RiemannianMetric.isVonNBounded, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, ContDiffMapSupportedIn.seminorm_fderivLM_top, HasStrictDerivAt.of_local_left_inverse, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, IsGreatest.nnnorm_cfcₙ, Complex.convexHull_reProdIm, NormedSpace.toIsBoundedSMul, Complex.logDeriv_tendsto, Complex.conjLIE_apply, one_mem_posTangentConeAt_iff_frequently, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Complex.hasStrictDerivAt_tan, Circle.starRingEnd_addChar, ContDiff.continuous_deriv_one, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, MeasureTheory.Integrable.simpleFunc_mul', curveIntegralFun_smul, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, Complex.closure_preimage_im, egauge_ball_le_of_one_lt_norm, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, GeneralSchauderBasis.proj_apply, hasStrictFDerivAt_iff_isLittleOTVS, not_IntegrableOn_Ioi_inv, ContinuousLinearEquiv.toCompactConvergenceCLM_apply, RCLike.re_add_im_ax, ContinuousMap.continuousMap_mem_subalgebra_closure_of_separatesPoints, ContinuousAlternatingMap.piLIE_apply_apply, Real.differentiableOn_log, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, Differentiable.fderiv_norm_rpow, lintegral_fderiv_lineMap_eq_edist, NumberField.InfiniteAdeleRing.algebraMap_apply, Set.OrdConnected.image_deriv, UnitAddTorus.mFourierSubalgebra_coe, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, iteratedDerivWithin_tsum_cexp_eq, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, Complex.continuousWithinAt_log_of_re_neg_of_im_zero, UpperHalfPlane.σ_sq, MeasureTheory.integral_const_mul, Complex.continuous_sin, FormalMultilinearSeries.hasSum_of_finite, signedDist_right_congr, hasDerivAtFilter_ofNat, AddCircle.isAddFundamentalDomain_of_ae_ball, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, Seminorm.continuous', Complex.exp_eq_exp_ℂ, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, Asymptotics.IsBigOTVS.add, TensorProduct.toLinearEquiv_lidIsometry, HasStrictDerivAt.cpow, HasFPowerSeriesOnBall.restrictScalars, Real.differentiableOn_arcsin, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, ContinuousLinearMap.isometry_mul_flip, PeriodPair.weierstrassP_coe, AnalyticOnNhd.eval_linearMap', inner_gradientWithin_right, fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, MeasureTheory.MemLp.integrable_norm_rpow', ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, ClosedSubmodule.inf_orthogonal, 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, ModularForm.prod_slash, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, Complex.isQuotientCoveringMap_npow, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Module.Basis.parallelepiped_basisFun, sum_cauchyPowerSeries_eq_integral, NumberField.mixedEmbedding.instIsAddHaarMeasureMixedSpaceVolume, SchwartzMap.laplacianCLM_eq, CStarModule.innerSL_apply, 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, MeasureTheory.hasFiniteIntegral_prod_iff', Real.vector_fourierIntegral_eq_integral_exp_smul, StrictConvexOn.strictMonoOn_deriv, HasDerivWithinAt.sub, PadicInt.mahlerTerm_apply, DifferentiableAt.clog, DifferentiableAt.zpow, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.integral_div, MeasureTheory.ConvolutionExistsAt.integrable, Matrix.IsHermitian.eigenvalues_eq, MeasureTheory.MemLp.norm_rpow, nndist_midpoint_right, HasStrictFDerivAt.pow, MeasureTheory.MemLp.prod, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, ProbabilityTheory.IsGaussian.integrable_exp_sq_of_conv_neg, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, Asymptotics.isLittleOTVS_prodMk_left, derivWithin_cosh, NNReal.enorm_eq, Filter.tendsto_ofReal_iff', fderivWithin_sinh, iter_deriv_zpow', Asymptotics.IsBigOTVS.comp_tendsto, differentiableWithinAt_abs, PadicInt.coe_sum, Complex.deriv_cos, WithSeminorms.continuousSMul, Matrix.exp_conj', hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, Complex.not_differentiableAt_Gamma_neg_nat, Real.deriv_arccos, Complex.differentiableOn_dslope, RCLike.borelSpace, Real.hasStrictDerivAt_sinh, AddCircle.homeomorphCircle'_symm_apply, TestFunction.continuous_iff_continuous_comp, HasFiniteFPowerSeriesOnBall.sum, ProbabilityTheory.integrable_pow_abs_of_integrable_exp_mul, Distribution.IsVanishingOn.smulLeftCLM, LocallyBoundedVariationOn.ae_differentiableWithinAt, ContinuousLinearMap.opNorm_mul_flip_apply, deriv_conj_conj, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, ConvexOn.univ_sSup_of_countable_affine_eq, integrableOn_exp_Iic, IsUltrametricDist.of_normedAlgebra', Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzCone, RCLike.hasSum_ofReal, InnerProductSpace.inner_left_rankOne_apply, cfcₙHom_nnreal_eq_restrict, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, norm_iteratedFDeriv_clm_apply, TestFunction.toBoundedContinuousFunctionCLM_apply, RCLike.continuous_normSq, Complex.conjCAE_apply, uniformCauchySeqOnFilter_of_deriv, IsLocalFrameOn.coeff_apply_of_mem, OpenPartialHomeomorph.contDiffAt_symm_deriv, ModularForm.discriminant_bounded_factor, HasFDerivAt.finset_prod, SchwartzMap.fderivCLM_apply, hasStrictDerivAt_abs_pos, deriv_sqrt_mul_log, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, Bundle.Trivialization.localFrame_coeff_congr, StrictConcaveOn.slope_lt_derivWithin, Matrix.exp_neg, Meromorphic.finsum, Manifold.IsImmersionAtOfComplement.ofOpen, HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, 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, Real.hasStrictFDerivAt_rpow_of_pos, hasFDerivWithinAt_inv, hasSum_nat_jacobiTheta, differentiableAt_sigmoid, TemperedDistribution.fourierMultiplierCLM_compL_fourierMultiplierCLM, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, OrthonormalBasis.repr_self, NumberField.InfinitePlace.Completion.norm_coe, ContMDiffAt.clm_postcomp, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, hasDerivWithinAt_pi, differentiableOn_iteratedDerivWithin_cotTerm, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, NormedSpace.isVonNBounded_ball, HasFDerivWithinAt.csin, MeasureTheory.eLpNorm_mono_real, MeromorphicAt.eq_nhdsNE_toMeromorphicNFAt, ContinuousLinearMap.eq_adjoint_iff, PeriodPair.hasSum_derivWeierstrassPExcept, ContDiffAt.fderiv_succ, Orientation.volumeForm_map, rotation_apply, toMatrix_rotation, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, convexHull_union_neg_eq_absConvexHull, RCLike.smul_re, Icc_isBoundaryPoint_bot, mellin_convergent_zero_of_isBigO, Polynomial.div_tendsto_zero_iff_degree_lt, Differentiable.zpow, derivWithin.scomp, deriv_abs_neg, Complex.differentiableWithinAt_sqrt, ProbabilityTheory.evariance_lt_top_iff_memLp, MeasureTheory.continuous_charFun, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, Real.differentiableWithinAt_arccos_Ici, HasFPowerSeriesAt.comp, Complex.differentiableAt_GammaAux, HasFDerivAt.continuousMultilinear_apply_const, HasFDerivWithinAt.continuousAlternatingMap_apply, ContinuousLinearMap.IsPositive.smul_of_nonneg, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, EuclideanSpace.nndist_eq, LinearMap.polar_singleton, FormalMultilinearSeries.sum_of_finite, MeromorphicOn.divisor_pow, ModularForm.prod_slash_sum_weights, MeasureTheory.convolution_tendsto_right, gelfandStarTransform_apply_apply, DifferentiableWithinAt.abs_of_pos, HasFTaylorSeriesUpToOn.zero_eq', Asymptotics.IsLittleOTVS.trans_isThetaTVS, deriv.log, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, Complex.instPathConnectedSpaceUnits, integrableOn_Ioi_rpow_of_lt, ContDiff.continuous_deriv, ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zero, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, WithSeminorms.withSeminorms_eq, HasDerivAt.continuousOn, ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator, ConcaveOn.slope_le_of_hasDerivAt, signedDist_left_congr, NormedField.exists_lt_nnnorm_lt, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, exists_deriv_eq_zero, 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, NormedField.exists_nnnorm_lt_one, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, spectralAlgNorm_def, integrableOn_Ioi_norm_cpow_of_lt, Complex.continuousOn_cos, QuadraticForm.equivalent_signType_weighted_sum_squared, OrthonormalBasis.measurePreserving_repr, InformationTheory.leftDeriv_klFun_one, Asymptotics.IsLittleOTVS.prodMk, HasDerivAt.eventually_ne, ZMod.completedLFunction_def_even, HasDerivWithinAt.clm_apply, SchwartzMap.integral_fourierInv_smul_eq, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.hasDerivAt, RKHS.kernel_apply, HasDerivAt.finCons, RCLike.reCLM_norm, Seminorm.bound_of_continuous_normedSpace, RCLike.geometric_hahn_banach_closed_point, MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, MeasureTheory.AEStronglyMeasurable.inner_const, HasDerivWithinAt.sin, IsUltrametricDist.invariantExtension_apply, HasDerivAtFilter.add, Real.hasDerivAt_arcosh, Complex.tendsto_mul_log_one_add_of_tendsto, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, cfcₙ_setIntegral, Complex.isOpen_slitPlane, HasGradientAt.continuousAt, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, DirichletCharacter.deriv_LFunction_eq_deriv_LSeries, MeasureTheory.SignedMeasure.toComplexMeasure_apply, MDifferentiable.clm_postcomp, ModularForm.tsum_logDeriv_eta_q, EisensteinSeries.summable_left_one_div_linear_sub_one_div_linear, ConvexOn.monotoneOn_rightDeriv, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, CStarMatrix.toCLM_injective, Asymptotics.IsLittleOTVS.insert, enorm_fderiv_norm_rpow_le, ContinuousLinearMap.isPositive_self_comp_adjoint, dslope_eventuallyEq_slope_nhdsNE, HasDerivAt.cpow, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, hasDerivAt_iff_isLittleO, DifferentiableAt.fun_finset_prod, spectrum.isOpen_resolventSet, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, Polynomial.toAddCircle_X_pow_eq_fourier, Unitization.sqrt_inr, HasDerivWithinAt.hasFDerivWithinAt, MeasureTheory.Integrable.simpleFunc_mul, MonotoneOn.intervalIntegrable_deriv, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, contMDiffOn_baseSet_iff_localFrame_coeff, HasDerivAt.sqrt, hasFPowerSeriesAt_const, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, fderiv_eq_deriv_mul, UniformOnFun.continuousSMul_induced_of_image_bounded, nndist_right_lineMap, HasFPowerSeriesOnBall.const_smul, Orientation.abs_volumeForm_apply_of_orthonormal, ContinuousLinearMap.toSesqForm_apply_coe, signedDist_linear_apply_apply, MeromorphicOn.extract_zeros_poles_log, HasFPowerSeriesWithinOnBall.fderivWithin, PadicAlgCl.isUltrametricDist, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, FormalMultilinearSeries.radius_compNeg, SeminormFamily.comp_apply, BoxIntegral.hasIntegral_GP_pderiv, gelfandTransform_bijective, Polynomial.differentiableOn_aeval, SchwartzMap.integral_bilin_fourierIntegral_eq, Bundle.Trivialization.localFrame_coeff_eq_coeff, Unitization.uniformContinuous_fst, 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, StrictConvexOn.lt_slope_of_hasDerivAt, Real.GammaIntegral_convergent, ZMod.differentiableAt_completedLFunction, ContinuousAlternatingMap.toAlternatingMap_curryLeft, MeromorphicAt.inv_iff, Matrix.toEuclideanLin_apply, Bornology.IsVonNBounded.image_multilinear', HasDerivAt.congr_of_eventuallyEq, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.charFunDual_eq_charFun_map_one, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, NormedField.discreteTopology_or_nontriviallyNormedField, WithSeminorms.tendsto_nhds', HasFDerivWithinAt.multiset_prod, Complex.tendsto_exp_nhds_zero_iff, fourier_norm, ContinuousLinearMap.opNorm_mul, Complex.uniformContinuous_im, MeasureTheory.memLp_two_iff_integrable_sq_norm, mfderivWithin_projIcc_one, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, Complex.frontier_preimage_re, CuspForm.coe_trace, EisensteinSeries.e2Summand_summable, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, ContinuousLinearMapWOT.le_nhds_iff_forall_dual_apply_le_nhds, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, Seminorm.bddAbove_of_absorbent, image_circleMap_Ioc, TemperedDistribution.smulLeftCLM_neg, analyticOrderAt_eq_top, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, Real.hasStrictDerivAt_arccos, AnalyticAt.frequently_zero_iff_eventually_zero, RCLike.conjCLE_apply, MeasureTheory.integrable_norm_rpow_iff, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, Asymptotics.IsLittleOTVS.neg_right, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, HasFTaylorSeriesUpTo.fderiv_eq, Complex.cexp_tsum_eq_tprod, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', Function.Periodic.differentiableAt_cuspFunction, Unitization.nnnorm_def, Asymptotics.IsEquivalent.add_add_of_nonneg, UpperHalfPlane.coe_pos_real_smul, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, nndist_left_lineMap, IsUltrametricDist.invariantExtension_extends, TestFunction.fderivCLM_ofSupportedIn, Complex.instContinuousStar, Euclidean.closedBall_eq_image, summable_finset_prod_of_summable_norm, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, NumberField.mixedEmbedding.negAt_preimage, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, HasLineDerivAt.tendsto_slope_zero_right, isScalarTower_sphere_closedBall_closedBall, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, Balanced.convexHull, Complex.hasDerivAt_GammaIntegral, fderiv_continuousAlternatingMapCompContinuousLinearMap, QuadraticForm.equivalent_one_neg_one_weighted_sum_squared, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, MeromorphicOn.divisor_natCast, RCLike.wInner_cWeight_eq_expect, Complex.deriv_ofReal_cpow_const, UpperHalfPlane.comp_ofComplex, Complex.starConvex_ofReal_slitPlane, PiTensorProduct.mapL_smul, Complex.analyticOnNhd_univ_iff_differentiable, SchwartzMap.integral_sesq_fourier_eq, NumberField.mixedEmbedding.fundamentalCone.volume_frontier_normLeOne, Complex.continuousAt_sqrt, Real.fderiv_fourier, ApproximatesLinearOn.norm_fderiv_sub_le, ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, RCLike.toIsStrictOrderedModule, CStarMatrix.norm_def', NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, MeasureTheory.eLpNorm_norm, HurwitzZeta.hasSum_nat_sinZeta, DifferentiableAt.fun_div, MDifferentiable.clm_bundle_apply₂, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, MeasureTheory.integrable_toReal_rnDeriv_mul_iff, Real.norm_deriv_mulExpNegMulSq_le_one, ValueDistribution.logCounting_top, Quaternion.linearIsometryEquivTuple_symm_apply, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, Polynomial.isEquivalent_atTop_lead, meromorphicOrderAt_ne_top_iff, ContDiffAt.inv, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, ContinuousAlternatingMap.instContinuousSMul, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, MeasureTheory.charFun_apply_real, HasFDerivAt.restrictScalars, balancedHull_subset_convexHull_union_neg, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, Complex.taylorSeries_eq_on_ball', StrictConcaveOn.deriv_lt_slope, Orientation.areaForm_to_volumeForm, Complex.UnitDisc.coe_smul_circle, Icc_isInteriorPoint_interior, DifferentiableOn.const_cpow, PiTensorProduct.projectiveSeminorm_apply, Complex.summable_conj, UpperHalfPlane.denom_cocycle_σ, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, signedDist_le_dist, HasGradientWithinAt.continuousWithinAt, Real.not_continuousAt_deriv_mul_log_zero, integrable_one_add_norm, ProbabilityTheory.integrable_condCDF, HasFDerivAtFilter.isThetaTVS_sub, Complex.continuousAt_arg, PeriodPair.latticeBasis_zero, integrableOn_add_rpow_Ioi_of_lt, ZMod.LFunction_def_odd, InformationTheory.klDiv_eq_top_iff, 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, NormedField.exists_one_lt_enorm, ContinuousLinearMapWOT.inducingFn_apply, TemperedDistribution.instLineDerivLeftSMulReal, meromorphicOrderAt_eq_top_iff, norm_iteratedFDerivWithin_clm_apply_const, ModularForm.discriminant_isZeroAtImInfty, RCLike.iInter_countable_halfSpaces_eq, CStarMatrix.inner_toCLM_conjTranspose_left, Orientation.areaForm_neg_orientation, hasStrictDerivAt_exp_smul_const, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Filter.EventuallyEq.ftaylorSeries, isBoundedBilinearMap_comp, Complex.interior_setOf_le_re, fderivWithin_sin, HasFPowerSeriesWithinOnBall.uniform_geometric_approx, StrictConcaveOn.slope_lt_deriv, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, Filter.tendsto_ofReal_iff, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, Filter.EventuallyEq.deriv, Monotone.ae_differentiableAt, hasStrictDerivAt_add_const_iff, ConvexOn.slope_le_deriv, Finsupp.sum_inner, TemperedDistribution.fourierInv_lineDerivOp_eq, Differentiable.abs, Asymptotics.IsBigOTVS.neg_right, mfderivWithin_comp_projIcc_one, UpperHalfPlane.mdifferentiable_inv_denom, multipliable_one_add_of_summable, LeftInvariantDerivation.lift_smul, DifferentiableOn.rpow, 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, SimpleGraph.lapMatrix_toLinearMap₂'_apply'_eq_zero_iff_forall_reachable, Complex.hasStrictFDerivAt_cpow', NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closure, Real.fourier_iteratedFDeriv, Differentiable.ccos, HasDerivAt.add, SchwartzMap.smulLeftCLM_real_smul, AddCircle.norm_div_natCast, InnerProductSpace.toDualMap_apply_apply, Differentiable.cexp, HasMFDerivAt.smul, Orientation.kahler_eq_zero_iff, AddChar.sum_apply_eq_ite, EulerProduct.eulerProduct_completely_multiplicative, PositiveLinearMap.preGNS_norm_def, contDiff_succ_iff_fderiv, HasStrictDerivAt.div, ContinuousLinearMap.opNNNorm_prod, BoundedContinuousFunction.integral_const_sub, UpperHalfPlane.dist_eq_iff_eq_sinh, MDifferentiableAt.clm_prodMap, hasDerivAtFilter_zero, Complex.integral_comp_polarCoord_symm, Seminorm.map_eq_zero_of_norm_zero, DifferentiableAt.rpow_const, Complex.uniformContinuous_re, signedDist_apply_apply, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, PeriodPair.ω₂_div_two_notMem_lattice, Real.differentiableAt_rpow_const_of_ne, derivWithin_zpow, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, Meromorphic.div, UnitAddTorus.mFourierCoeff_toLp, ProbabilityTheory.gaussianReal_map_continuousLinearMap, WeakDual.toStrongDual_inj, DifferentiableOn.csinh, ContinuousLinearMap.uniformContinuous_restrictScalars, IccLeftChart_extend_interior_pos, HurwitzZeta.differentiable_expZeta_of_ne_zero, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, Asymptotics.IsEquivalent.mul, isModuleTopologyOfFiniteDimensional, PeriodPair.hasSum_derivWeierstrassP, Orientation.areaForm_swap, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, ContinuousAt.of_dslope, PeriodPair.compl_lattice_diff_singleton_mem_nhds, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, DifferentiableAt.const_cpow, hasDerivAt_id', HasDerivWithinAt.cos, LinearMap.dualEmbedding_surjective, Differentiable.sinh, integrableOn_Ioi_cpow_iff, Bundle.ContinuousRiemannianMetric.symm, ContinuousMultilinearMap.curryRight_norm, mellin_hasDerivAt_of_isBigO_rpow, ContinuousLinearMap.analyticOn_bilinear, HurwitzZeta.differentiable_hurwitzZetaOdd, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, iteratedFDeriv_comp_const_smul, fderiv.log, HasStrictDerivAt.arctan, MeasureTheory.MemLp.inner_const, HasStrictDerivAt.mul, LSeries_deriv_eqOn, ContDiffOn.continuousOn_iteratedDerivWithin, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, 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, MeasureTheory.Integrable.integral_norm_condDistrib_map, 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, fderivWithin_finset_prod, ProbabilityTheory.integrable_exp_mul_of_nonneg_of_le, NumberField.tendsto_sub_one_mul_dedekindZeta_nhdsGT, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, IsOpen.reProdIm, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, RegularNormedAlgebra.isometry_mul', Complex.frontier_setOf_im_lt, cauchyPowerSeries_apply, summable_eisSummand, ProbabilityTheory.integrable_exp_mul_abs, ContDiffWithinAt.hasFDerivWithinAt_nhds, WithAbs.instUniformContinuousConstSMulReal, HasStrictDerivAt.real_of_complex, ModularFormClass.continuous, Matrix.PosSemidef.det_sqrt, Orientation.rotation_map_complex, Real.deriv_rpow_const, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, ProbabilityTheory.integrable_exp_mul_of_abs_le, 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, HasDerivAt.differentiableAt, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, DifferentiableWithinAt.dist, MeasureTheory.integrable_thickenedIndicator, NormedField.exists_nnnorm_lt, TestFunction.limitCLM_apply, Complex.isConnected_of_lowerHalfPlane, hasDerivWithinAt_abs, ProbabilityTheory.integrable_pow_mul_exp_of_integrable_exp_mul, hasFPowerSeriesOnBall_const, tendsto_cobounded_of_meromorphicOrderAt_neg, MeasureTheory.MemLp.pos_part, HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re, MeasureTheory.integrable_of_tendsto, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, TensorProduct.lidIsometry_apply, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, MeasureTheory.StronglyMeasurable.inner, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, HasDerivWithinAt.csinh, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, DifferentiableAt.star_conj, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, Complex.tendsto_exp_comap_re_atTop, convex_halfSpace_re_le, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding, PadicInt.fwdDiff_tendsto_zero, Complex.deriv_Gamma_add_one, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux', MeasureTheory.eLpNorm_ofReal, Seminorm.ball_norm_mul_subset, EuclideanSpace.dist_single_same, EulerProduct.eulerProduct_hasProd, Complex.continuous_re, Real.deriv_sinh, exists_ratio_deriv_eq_ratio_slope, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, NormedField.exists_lt_enorm, Module.Basis.coe_toOrthonormalBasis_repr, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, hasFDerivAt_ringInverse, Filter.HasBasis.isLittleOTVS_iff, HasFDerivAt.continuousAlternatingMap_apply, 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, ModularGroup.lcRow0Extend_symm_apply, UpperHalfPlane.contMDiff_coe, PadicInt.compactSpace, InformationTheory.hasDerivAt_klFun, UnconditionalSchauderBasis.enorm_proj_le_enormProjBound, CuspForm.holo', integrableOn_Ioi_norm_cpow_iff, contMDiff_coe_sphere, InnerProductSpace.nnnorm_rankOne, contDiffOn_one_iff_derivWithin, PeriodPair.mem_lattice, StrictConvexOn.slope_lt_deriv, BoundedContinuousFunction.mem_charPoly, spectrum.gelfandTransform_eq, Orientation.kahler_comp_rightAngleRotation, Seminorm.ball_smul, EisensteinSeries.tsum_symmetricIco_linear_sub_linear_add_one_eq_zero, BoundedContinuousFunction.charAlgHom_apply, LeftInvariantDerivation.comp_L, HasDerivAt.fun_pow, ae_differentiableAt_norm, ArithmeticFunction.vonMangoldt.residueClass_apply, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, ContinuousAt.cexp, Matrix.PosSemidef.trace_eq_zero_iff, HasGradientWithinAt.differentiableWithinAt, LinearMap.trace_eq_sum_inner, ContinuousAlternatingMap.curryLeft_apply_apply, NormedSpace.isVonNBounded_closedBall, MeasureTheory.memLp_haarAddCircle_iff, ContinuousLinearMap.flip_smul, NumberField.Units.instZLattice_unitLattice, MeromorphicOn.divisor_inv, HasDerivAtFilter.mono, PadicInt.mahlerSeries_apply, ContDiffAt.div_const, Circle.arg_eq_arg, HasFDerivAt.isBigOTVS_sub, HasDerivWithinAt.fun_pow', PeriodPair.analyticOnNhd_derivWeierstrassPExcept, UpperHalfPlane.dist_eq_iff_eq_sq_sinh, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Complex.differentiableOn_update_limUnder_of_bddAbove, NumberField.mixedEmbedding.convexBodySum_compact, Orientation.volumeForm_zero_pos, spectralNorm_eq_iSup_of_finiteDimensional_normal, MeromorphicOn.divisor_fun_pow, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, hasSum_mellin, ProbabilityTheory.complexMGF_mul_I, Matrix.IsHermitian.charpoly_cfc_eq, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, MeasureTheory.ConvolutionExistsAt.integrable_swap, 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, contDiffOn_prod', HasDerivWithinAt.eventually_notMem, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, ProbabilityTheory.Kernel.integrable_densityProcess, ContMDiffCovariantDerivativeOn.finite_affine_combination, NumberField.Units.span_basisOfIsMaxRank, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, FiniteDimensional.rclike_to_real, Complex.comap_exp_nhds_zero, EisensteinSeries.G2_eq_tsum_symmetricIco, Complex.equivRealProdCLM_symm_apply, Seminorm.convexOn, Complex.cos_eq_tsum', ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, cot_series_rep', DirichletCharacter.differentiableAt_LFunction, CompactlySupportedContinuousMap.coe_toRealLinearMap, 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, Complex.continuous_cosh, IsLocalExtr.fderiv_eq_zero, MeromorphicOn.divisor_fun_prod, fourier_one, GeneralSchauderBasis.expansion, Polynomial.ofReal_eval, HasFPowerSeriesOnBall.fderiv_eq, Seminorm.coe_restrictScalars, NumberField.Units.basisOfIsMaxRank_apply, Real.differentiableOn_rpow_const, HasSum.cexp, MeasureTheory.MemLp.integrable_norm_pow, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, IsCovariantDerivativeOn.smul_const, NormedField.denseRange_nnnorm, NumberField.mixedEmbedding.fundamentalCone.subset_interior_normLeOne, Asymptotics.IsLittleOTVS.zero, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, NumberField.canonicalEmbedding.integerLattice.inter_ball_finite, SchwartzMap.smulLeftCLM_sum, PiTensorProduct.projectiveSeminorm_tprod_le, UpperHalfPlane.σ_mul, PadicInt.continuous_choose, AffineMap.hasDerivWithinAt_lineMap, PeriodPair.basis_zero, DifferentiableWithinAt.const_cpow, Asymptotics.IsLittleOTVS.congr_left, UpperHalfPlane.image_coe_ball, MeasureTheory.Integrable.norm_integral_condDistrib, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, ContinuousLinearMap.fderiv_of_bilinear, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Complex.closure_setOf_lt_im, Real.Angle.coe_toCircle, Real.hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, cfcₙHom_integral, Seminorm.gaugeSeminorm_ball, Rat.HeightOneSpectrum.adicCompletion.padicEquiv_bijOn, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, InformationTheory.leftDeriv_klFun, contDiffAt_map_inverse, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, EulerProduct.eulerProduct, 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, AddCircle.exists_norm_nsmul_le, isEquivalent_choose, Asymptotics.isBigOTVS_iff_smallSets, ContinuousAlternatingMap.norm_restrictScalars, Real.fourierIntegral_continuousLinearMap_apply, OrthonormalBasis.coe_ofRepr, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, LSeries_deriv, HasDerivWithinAt.const_cpow, Submodule.adjoint_subtypeL, MeasureTheory.convolutionExistsAt_flip, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, hasStrictFDerivAt_exp, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, HasDerivAtFilter.sub, AbsoluteValue.Completion.locallyCompactSpace, MeasureTheory.Integrable.integral_norm_comp, AnalyticOn.fderivWithin, EuclideanSpace.nnnorm_single, MeasureTheory.MemLp.memLp_liftIoc, ProbabilityTheory.differentiableAt_mgf, UpperHalfPlane.contMDiff_inv_denom, ContinuousLinearMap.opNorm_mul_apply, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, RCLike.conjLIE_apply, deriv_fun_div, Complex.uniformlyContinuous_re, WithAbs.tendsto_one_div_one_add_pow_nhds_one, PadicInt.coe_addChar_of_value_at_one, Complex.map_exp_comap_re_atTop, RCLike.summable_ofReal, Complex.orthonormalBasisOneI_repr_apply, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, ContinuousMapZero.integral_apply, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_eq, PadicInt.mahlerSeries_apply_nat, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, ContDiffAt.fderiv_right, Complex.differentiable_exp, MeasureTheory.convolution_def, ContMDiffFiberwiseLinear.locality_aux₂, ContinuousMultilinearMap.curryLeft_norm, Complex.UnitDisc.isEmbedding_coe, HurwitzZeta.hasSum_nat_completedCosZeta, HasDerivAt.hasFDerivAt, tendsto_sub_mul_tsum_nat_cpow, 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, Real.differentiable_cos, NormedSpace.eq_iff_forall_dual_eq, HasDerivAt.star, Function.Periodic.boundedAtFilter_cuspFunction, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, MeasureTheory.MemLp.neg_part, ContDiffOn.fderiv_of_isOpen, Meromorphic.zpow, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, isAddFundamentalDomain_Ioc, ContinuousLinearMap.continuous_restrictScalars, hasStrictDerivAt_const_add_iff, Summable_cotTerm, isBoundedBilinearMap_compMultilinear, Asymptotics.IsBigOTVS.fun_add, norm_cauchyPowerSeries_le, sum_mul_eq_sub_integral_mul', Finset.analyticWithinAt_fun_prod, contDiffWithinAt_prod', HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, intervalIntegral.integrableOn_Ioo_rpow_iff, Asymptotics.isEquivalent_nat_ceil, HasFPowerSeriesOnBall.uniform_geometric_approx, summable_jacobiTheta₂_term_fderiv_iff, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, MeromorphicOn.divisor_sub_const_self, Unitization.cobounded_eq_aux, HasDerivAtFilter.const_smul, AddCircle.norm_coe_mul, Asymptotics.isBigOTVS_fun_neg_left, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, sum_inner, Polynomial.div_tendsto_atBot_zero_of_degree_lt, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, HurwitzZeta.hasSum_nat_hurwitzZetaEven, HasFPowerSeriesWithinAt.fderivWithin_eq, ContDiffBump.convolution_tendsto_right, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, continuousWithinAt_dslope_of_ne, HurwitzZeta.hasSum_int_cosKernel, inCoordinates_apply_eq₂, Asymptotics.isBigOTVS_fun_neg_right, ZMod.completedLFunction_def_odd, 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, contDiffOn_infty_iff_fderivWithin, ContinuousMultilinearMap.range_toUniformOnFun, contDiffOn_prod, 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, signedDist_eq_zero_of_orthogonal, hasSum_fourier_series_L2, DifferentiableWithinAt.hasDerivWithinAt, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, PeriodPair.isClosed_lattice, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, BoundedContinuousFunction.innerProbChar_zero, ZSpan.volume_fundamentalDomain, StrictMonoOn.exists_slope_lt_deriv_aux, FormalMultilinearSeries.coeff_eq_zero, Complex.tendsto_normSq_cocompact_atTop, ProbabilityTheory.covarianceBilin_zero, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIdealLattice, RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, Real.hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, HasDerivWithinAt.mul, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, DifferentiableOn.ccos, HasDerivAt.log, LeftInvariantDerivation.evalAt_coe, Matrix.IsHermitian.trace_eq_sum_eigenvalues, fderiv_inverse, DifferentiableAt.ccosh, AddCircle.norm_half_period_eq, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, HasFPowerSeriesOnBall.fderiv, convex_halfSpace_im_gt, ContMDiffOn.clm_precomp, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, ContinuousMultilinearMap.restrictScalarsLinear_apply, contDiffOn_nat_iff_continuousOn_differentiableOn, Differentiable.sin, EisensteinSeries.tendsto_zero_inv_linear_sub, Real.deriv_Gamma_nat, GaussianFourier.integrable_cexp_neg_mul_sum_add, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, Complex.continuousOn_sin, Complex.hasStrictFDerivAt_cpow, MeasureTheory.integrable_add_iff_of_nonneg, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, tendsto_riemannZeta_sub_one_div, ZetaAsymptotics.tendsto_Gamma_term_aux, NumberField.InfinitePlace.Completion.locallyCompactSpace, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, Seminorm.restrictScalars_ball, Filter.EventuallyEq.hasDerivAt_iff, fderiv_pow, ProbabilityTheory.memLp_two_of_variance_ne_zero, InnerProductSpace.rankOne_eq_zero, Polynomial.differentiable_aeval, MeasureTheory.eLpNorm_one_le_of_le', Distribution.delta_eq_zero_of_notMem, Complex.polarCoord_apply, IsGreatest.nnnorm_cfc, HasDerivAt.csinh, Real.fourierIntegral_convergent_iff', fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, Seminorm.continuous, Convex.toWeakSpace_closure, Complex.differentiable_iteratedDeriv_sin, AddChar.expect_apply_eq_zero_iff_ne_zero, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, Asymptotics.IsEquivalent.finsetProd, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, integrable_rpow_neg_one_add_norm_sq, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, Continuous.cexp, HasStrictDerivAt.clog_real, Bundle.ContMDiffRiemannianMetric.symm, 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, HasFDerivAt.pow, 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, Real.hasDerivAt_qaryEntropy, Finset.analyticWithinAt_prod, innerSL_inj, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, continuousAt_dslope_same, PositiveLinearMap.preGNS_inner_def, WithSeminorms.isVonNBounded_iff_seminorm_bddAbove, fderivWithin_inv', spectralAlgNorm_mul, 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, HasFPowerSeriesOnBall.compContinuousLinearMap, AffineSubspace.signedInfDist_eq_signedDist_of_mem, HasStrictFDerivAt.const_cpow, Finset.nnnorm_prod_le', MeromorphicOn.divisor_prod, differentiableWithinAt_of_derivWithin_ne_zero, LinearMap.IsSymmetric.coe_toSelfAdjoint, one_mem_posTangentConeAt_iff_mem_closure, MeromorphicOn.divisor_intCast, Complex.tendsto_one_add_div_pow_exp, HasFDerivWithinAt.csinh, quasispectrum.isCompact, Real.integrable_sinc, gaugeSeminorm_ball_one, RealRMK.rieszMeasure_le_of_eq_one, TensorProduct.inner_lid_lid, ContDiffMapSupportedIn.uniformSpace_eq_iInf, DifferentiableAt.log, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbedding, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, riemannZeta_eulerProduct_exp_log, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, not_IntegrableOn_Ici_inv, AnalyticOnNhd.eval_linearMap, Set.OrdConnected.image_derivWithin, UniformConvergenceCLM.continuousSMul, LinearIsometry.re_apply_eq_re_of_add_conj_eq, RCLike.rank_le_two, hasDerivWithinAt_one, IsSelfAdjoint.isConnected_spectrum_compl, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, MeasureTheory.memLp_two_iff_integrable_sq, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, WeakDual.isCompact_closedBall, Affine.Simplex.signedInfDist_apply_self, ContinuousOn.of_dslope, PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, TestFunction.coe_ofSupportedInCLM, Real.differentiableAt_rpow_of_ne, ProbabilityTheory.integrable_pow_abs_mul_exp_of_mem_interior_integrableExpSet, RCLike.reCLM_coe, ContDiffBump.normed_convolution_eq_right, continuousSMul_closedBall_ball, UpperHalfPlane.dist_coe_center, ProbabilityTheory.gaussianReal_map_linearMap, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, Real.differentiableAt_log, 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, EisensteinSeries.tendsto_e2Summand_atTop_nhds_zero, ContinuousLinearMap.derivWithin, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, DifferentiableAt.inner, MeromorphicOn.isClopen_setOf_meromorphicOrderAt_eq_top, Complex.derivWithin_sqrt, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, HarmonicAt.differentiableAt_complex_partial, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, tendsto_logDeriv_euler_sin_div, NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_single, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, NormedSpace.exp_continuousMap_eq, FormalMultilinearSeries.iteratedFDerivSeries_eq_zero, EisensteinSeries.div_linear_zpow_differentiableOn, Seminorm.comp_smul, HasFDerivWithinAt.mul_const, 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, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_integrable_exp_mul, ProbabilityTheory.IsGaussian.charFun_eq', deriv_neg_left_of_sign_deriv, Real.deriv_inv_log, ProbabilityTheory.covarianceBilinDual_eq_covariance, ContMDiffAt.mfderiv_const, smoothSheafCommRing.isUnit_stalk_iff, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, UpperHalfPlane.ofComplex_apply_of_im_pos, signedDist_zero, mellin_convergent_of_isBigO_scalar, Asymptotics.IsLittleO.isLittleOTVS, hasDerivAt_ofNat, SchwartzMap.postcompCLM_apply, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, Asymptotics.IsLittleOTVS.neg_left, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, spectralMulAlgNorm_def, RCLike.isUniformEmbedding_ofReal, CompactlySupportedContinuousMap.toRealLinearMap_apply, EuclideanSpace.coe_proj, DifferentiableAt.isBigOTVS_sub, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, Orthonormal.inner_left_right_finset, MeasureTheory.Integrable.integral_norm_prod_left, AlternatingMap.mkContinuousAlternating_norm_le, HasCompactSupport.hasFDerivAt_convolution_right, frontier_range_modelWithCornersEuclideanHalfSpace, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, differentiableAt_inv_iff, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, AddCircle.instIsUnifLocDoublingMeasureRealVolume, SchwartzMap.norm_iteratedFDeriv_le_seminorm, ProbabilityTheory.covarianceBilinDual_zero, TemperedDistribution.fourierMultiplierCLM_fourierMultiplierCLM_apply, HasStrictDerivAt.exp, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, RealRMK.integral_rieszMeasure, 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, EuclideanSpace.instIsManifoldSphere, zeta_eq_tsum_one_div_nat_cpow, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, Bornology.IsVonNBounded.restrict_scalars_of_nontrivial, Real.isEquivalent_sin, continuousAt_cpow, InnerProductSpace.toDualMap_apply, gelfandTransform_map_star, Bundle.Pretrivialization.continuousLinearMap.isLinear, DifferentiableWithinAt.abs, TotallyBounded.isVonNBounded, UpperHalfPlane.hasStrictDerivAt_smul, NumberField.mixedEmbedding.convexBodySumFun_smul, Complex.interior_preimage_im, HasDerivAt.cosh, DifferentiableAt.conj_conj, Real.differentiable_exp, NumberField.mixedEmbedding.logMap_real_smul, ContinuousLinearMap.adjoint_inner_left, Complex.isBigO_re_sub_re, AddChar.sum_apply_eq_zero_iff_ne_zero, fderivWithin_cos, ContinuousLinearMap.hasStrictDerivAt_of_bilinear, PointwiseConvergenceCLM.isInducing_inducingFn, FormalMultilinearSeries.nnnorm_compContinuousLinearMap_le, isQuotientCoveringMap_npow, Bornology.IsVonNBounded.image_multilinear, EulerProduct.eulerProduct_tprod, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, ProbabilityTheory.differentiableOn_mgf, Real.abs_mulExpNegMulSq_comp_le_norm, ContDiffMapSupportedIn.seminorm_monoLM_le, Complex.comap_exp_nhdsNE, Polynomial.derivWithin, ContinuousLinearMap.isBoundedBilinearMap, deriv_ccosh, nnnorm_algebraMap, fdifferential_apply, ContinuousMultilinearMap.hasBasis_nhds_zero, ball_normSeminorm, HasFPowerSeriesWithinOnBall.sum, Real.hasStrictDerivAt_arcosh, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, HasDerivAt.sub, UnitAddTorus.coeFn_mFourierLp, MeasureTheory.Integrable.integral_norm_condExpKernel, 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, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, Real.differentiableAt_cos, HasDerivAt.ccosh, HasStrictDerivAt.sum, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, innerₗ_apply, fderivWithin_continuousMultilinear_apply_const, FormalMultilinearSeries.le_radius_compContinuousLinearMap, Differentiable.fderiv_two, continuousMultilinearCurryFin0_symm_apply, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, totallyBounded_absConvexHull, 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, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, Complex.deriv_Gamma_nat, ModularGroup.lcRow0Extend_apply, Matrix.isSymmetric_toEuclideanLin_iff, Asymptotics.isBigOTVS_neg_right, MDifferentiableOn.coordChangeL, Real.deriv_log', PeriodPair.weierstrassPExcept_eq_tsum, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, ContinuousAlternatingMap.ofSubsingletonLIE_apply, HasStrictFDerivAt.clog, nnnorm_apply_le_nnnorm_cfcₙ, MeromorphicOn.fun_pow, Real.one_div_sub_hasFPowerSeriesOnBall_zero, FormalMultilinearSeries.compAlongComposition_bound, ProbabilityTheory.integrable_condVar, continuousMultilinearCurryRightEquiv_symm_apply, ProbabilityTheory.integral_id_multivariateGaussian, OrthonormalBasis.equiv_apply, TemperedDistribution.fourierMultiplierCLM_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, SchwartzMap.lineDeriv_eq_fourierMultiplierCLM, ProbabilityTheory.integrable_exp_abs_mul_abs_add, UpperHalfPlane.lt_dist_iff_lt_dist_coe_center, Seminorm.bound_of_continuous, MeasureTheory.integrable_of_le_of_le, DifferentiableOn.log, HasStrictDerivAt.smul, fderiv_pow_ring, Complex.continuous_sinh, constFormalMultilinearSeries_apply_zero, Padic.instCompleteSpace, hasDerivAt_tsum, DifferentiableAt.fderiv_restrictScalars, hasFTaylorSeriesUpToOn_top_iff', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, ContinuousLinearMap.lsmul_apply, StrictMonoOn.exists_deriv_lt_slope_aux, MeromorphicOn.div, LinearIsometryEquiv.conjStarAlgEquiv_trans, Complex.UnitDisc.coe_closedBall_smul, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, Bundle.ContMDiffRiemannianMetric.pos, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, 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, HasStrictDerivAt.csinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, hasDerivAt_jacobiTheta₂_fst, Real.deriv2_binEntropy, 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, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, MDifferentiableOn.clm_prodMap, contMDiffAt_coordChangeL, DifferentiableAt.sqrt, DifferentiableOn.div_const, InnerProductSpace.toDual_apply_apply, Complex.continuousOn_norm_circleTransformBoundingFunction, Complex.continuousAt_Gamma_one, intervalIntegral.intervalIntegrable_cpow, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, contMDiff_subtype_coe_Icc, Real.hasDerivAt_arcsin, coe_lpBCFₗᵢ, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, PeriodPair.differentiableOn_derivWeierstrassP, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, PeriodPair.weierstrassPExcept_def, VonNeumannAlgebra.coe_mk, HasDerivAt.csin, RCLike.nnnorm_ofNat, spectralNorm.spectralNorm_pow_natDegree_eq_prod_roots, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eq, 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, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, LDL.lower_conj_diag, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', HurwitzZeta.hasSum_int_cosZeta, hasFDerivAt_integral_of_dominated_loc_of_lip', SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInf, RKHS.kerFun_dense, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, HasDerivAt.smul_const, HasDerivAtFilter.sub_const, Real.deriv_tan_sub_id, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, AddCircle.volume_closedBall, ContinuousLinearMap.coe_flipₗᵢ', MDifferentiableAt.clm_bundle_apply₂, Real.leftDeriv_mul_log, 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, Real.differentiableAt_Gamma, hasSum_jacobiTheta₂_term_fderiv, HasDerivAt.cos, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, orthogonalBilin_innerₗ, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, ConvexOn.real_univ_sSup_of_countable_affine_eq, contDiff_iff_continuous_differentiable, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, NumberField.mixedEmbedding.mem_span_latticeBasis, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_Gammaℝ, ProbabilityTheory.evariance_eq_top_iff, hasDerivAt_const, Complex.tendsto_norm_tan_atTop, MeasureTheory.MemLp.integrable_sq, iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, NormedAlgebra.norm_eq_spectralNorm, BoundedContinuousFunction.innerProbChar_apply, OrthonormalBasis.repr_apply_apply, BoundedContinuousFunction.exists_norm_eq_restrict_eq_of_closed, Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, ProbabilityTheory.covarianceBilin_comm, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, Circle.coe_inv_eq_conj, HasStrictDerivAt.cosh, MeasureTheory.MemLp.prod', HasStrictFDerivAt.ccos, ContinuousLinearMap.IsStarNormal.ker_adjoint_eq_ker, natCast_le_analyticOrderAt, Complex.hasDerivAt_Gammaℂ_one, ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, VectorField.lieBracket_fmul_left, AnalyticAt.eventually_constant_or_nhds_le_map_nhds, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, Complex.hasSum_sin, Complex.tendsto_self_mul_Gamma_nhds_zero, Asymptotics.IsBigOTVS.snd, BoundedContinuousFunction.neg_norm_le_apply, SchwartzMap.integral_bilin_fourier_eq, Summable.hasProdUniformlyOn_nat_one_add, gradient_eq_deriv', Complex.hasStrictDerivAt_const_cpow, QuadraticForm.equivalent_one_zero_neg_one_weighted_sum_squared, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, Chebyshev.integrableOn_theta_div_id_mul_log_sq, DifferentiableWithinAt.arctan, ContinuousMultilinearMap.prodL_apply, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, HasDerivAt.isBigO_sub, MonotoneOn.intervalIntegrable_slope, nndist_left_midpoint, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousOn.clm_bundle_apply₂, EisensteinSeries.hasSum_e2Summand_symmetricIco, ContinuousLinearMap.coe_flipMultilinearEquiv, Seminorm.bddAbove_iff, HasDerivWithinAt.cpow, NonUnitalAlgHom.coe_Lmul, 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'', SchwartzMap.compCLMOfAntilipschitz_apply, MeasureTheory.Integrable.fintype_prod_dep, intervalIntegral.integrableOn_Ioo_cpow_iff, SchwartzMap.fourierInv_apply_eq, Circle.coe_mul, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, Real.differentiableOn_Gamma_Ioi, Real.differentiableOn_mul_log, LinearIsometryEquiv.conjStarAlgEquiv_refl, UpperHalfPlane.dist_lt_iff_dist_coe_center_lt, Complex.conjCLE_toLinearEquiv, HasDerivAt.tendsto_slope_zero_left, MeasureTheory.setToFun_smul_left, InformationTheory.klDiv_def, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.Integrable.norm_integral_condKernel, RCLike.abs_wInner_le, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, contDiff_nat_iff_iteratedDeriv, eventually_singleton_add_smul_subset, ConvexOn.slope_le_leftDeriv, LinearMap.IsSymmetric.toSelfAdjoint_apply, hasSum_jacobiTheta₂'_term, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, ProbabilityTheory.memLp_id_gaussianReal', Asymptotics.IsBigOTVS.fun_symm, Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zero, circleMap_notMem_ball, fderiv_norm_smul_neg, SchwartzMap.toTemperedDistributionCLM_apply_apply, EisensteinSeries.q_expansion_riemannZeta, Seminorm.continuousAt_zero', ContinuousLinearMap.coe_restrict_scalarsL', HasDerivAt.complexToReal_fderiv, ContinuousLinearMapWOT.isInducing_inducingFn, SlashInvariantFormClass.periodic_comp_ofComplex, fderivWithin_fderivWithin_eq_of_eventuallyEq, integrableOn_Ioi_deriv_ofReal_cpow, NormedField.nhdsNE_neBot, EulerProduct.eulerProduct_completely_multiplicative_tprod, Complex.map_exp_comap_re_atBot, Real.deriv_mulExpNegMulSq, StrongDual.polarSubmodule_eq_polar, HasDerivWithinAt.Ici_of_Ioi, fourier_coe_apply, summable_prod_mul_pow, ProbabilityTheory.iIndepFun.integrable_exp_mul_sum, HasDerivAt.tendsto_nhdsNE, PiTensorProduct.liftEquiv_symm_apply, Complex.interior_setOf_le_im, RCLike.summable_conj, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, RCLike.geometric_hahn_banach_point_point, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, extDerivWithin_fun_smul, NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top, 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, AnalyticOnNhd.is_constant_or_isOpenMap, hasFDerivAt_exp_smul_const', Asymptotics.IsLittleOTVS.triangle, dense_differentiableAt_norm, 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, Matrix.exp_zsmul, Seminorm.uniformSpace_eq_of_hasBasis, HurwitzZeta.hasSum_nat_cosZeta, SchwartzMap.postcompCLM_postcompCLM, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_eq, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn, ContinuousLinearMapWOT.hasBasis_seminorms, MonotoneOn.intervalIntegral_deriv_mem_uIcc, NumberField.mixedEmbedding.volume_preserving_negAt, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear, OnePoint.isZeroAt_iff_forall_SL2Z, ContDiff.continuous_iteratedDeriv, HasDerivAt.sub_const, Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, LinearMap.toMatrixOrthonormal_symm_apply, Real.deriv_qaryEntropy, ContinuousMultilinearMap.cpolyomialOn_uncurry_of_linear, InformationTheory.integrable_llr_compProd_iff, WithSeminorms.topology_eq_withSeminorms, Real.deriv_arctan, hasSum_cauchyPowerSeries_integral, LinearMap.coe_complexOfReal, ContinuousLinearMap.aestronglyMeasurable_comp₂, continuousSMul_sphere_closedBall, Circle.coe_pow, monotoneOn_deriv_descPochhammer_eval, SchwartzMap.smulLeftCLM_const, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, UpperHalfPlane.contMDiff_num, HasDerivWithinAt.rpow, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, UpperHalfPlane.mdifferentiable_denom, Differentiable.arctan, Asymptotics.IsBigOTVS.congr_left, LinearMap.toMatrix_innerₛₗ_apply, UpperHalfPlane.dist_self_center, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, Asymptotics.IsLittleOTVS.smul_left, 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, hasDerivAt_of_tendstoUniformlyOn, BoundedContinuousFunction.abs_self_eq_nnrealPart_add_nnrealPart_neg, ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, MeasureTheory.ComplexMeasure.integrable_rnDeriv, RCLike.wInner_one_eq_inner, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, NumberField.mixedEmbedding.negAt_apply_isComplex, isBigO_riemannZeta_sub_one_div, ProbabilityTheory.hasFiniteIntegral_compProd_iff', Asymptotics.IsBigOTVS.proj, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, Complex.hasFDerivAt_cpow, MDifferentiableOn.prod, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, Complex.differentiableAt_exp, UpperHalfPlane.σ_num, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos', 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, ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, continuous_circleMap, differentiableAt_jacobiTheta₂_fst, ContinuousOn.cpow_const, SchauderBasis.bddAbove_range_nnnorm_proj, not_integrableOn_Ioi_rpow, AffineMap.differentiableAt, hasStrictDerivAt_finCons', 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, NormedSpace.ofReal_exp_ℝ_ℝ, ContinuousLinearMap.isBoundedLinearMap_comp_right, Matrix.PosSemidef.toLinearMap₂'_zero_iff, convex_halfSpace_im_lt, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, NormedSpace.isVonNBounded_iff', Polynomial.rootSet_derivative_subset_convexHull_rootSet, VonNeumannAlgebra.mem_carrier, 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, HasFDerivAt.ccos, ModularForm.differentiableAt_eta_tprod, MeasureTheory.Measure.integrable_measure_prodMk_left, has_antideriv_at_fourier_neg, ModularForm.discriminant_eq_q_prod, Real.differentiableAt_log_iff, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, HasDerivWithinAt.ccosh, fderivWithin_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul_apply', ContDiffWithinAt.clm_comp, PadicInt.denseRange_natCast, UnitAddTorus.mFourier_norm, toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhds, Matrix.instNonnegSpectrumClass, MultilinearMap.mkContinuousLinear_norm_le, WithSeminorms.uniformEquicontinuous_iff_bddAbove_and_continuous_iSup, LinearIsometry.toSpanSingleton_apply, WeakDual.exists_countable_separating, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, LSeriesSummable.sum, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, Function.Periodic.continuous_qParam, 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, innerSLFlip_apply_apply, UniformContinuousOn.cexp, ContinuousLinearMap.nnnorm_holder_apply_apply_le, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, StrictConcaveOn.slope_lt_of_hasDerivAt, tendsto_zero_of_meromorphicOrderAt_pos, signedDist_smul_of_pos, MeasureTheory.BorelCantelli.integrable_process, Distribution.mapCLM_apply, Asymptotics.IsEquivalent.log, 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, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, Bornology.isVonNBounded_iff_smul_tendsto_zero, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, ConvexOn.sSup_of_nat_affine_eq, NormedField.exists_enorm_lt, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', PeriodPair.summable_weierstrassPSummand, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, Complex.frontier_preimage_im, MeasureTheory.MemLp.integrable_norm_rpow, 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, AnalyticOnNhd.aeval_mvPolynomial, continuousAt_clog, EisensteinSeries.linear_left_summable, AnalyticOnNhd.preimage_zero_mem_codiscrete, PeriodPair.hasSumLocallyUniformly_weierstrassPExcept, InformationTheory.integrable_llr_of_integrable_llr_compProd, Circle.invOn_arg_exp, contMDiff_smul, MeasureTheory.dist_convolution_le, MeromorphicOn.divisor_ofNat, nndist_midpoint_left, DoubleCentralizer.nnnorm_fst, UpperHalfPlane.coe_smul, UniformFun.continuousSMul_induced_of_range_bounded, intervalIntegral.integral_hasStrictFDerivAt, with_gaugeSeminormFamily, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Complex.hasDerivAt_cos, HasDerivWithinAt.fun_smul, IsBilinearMap.toContinuousBilinearMap_apply, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_apply, TestFunction.lineDerivOp_eq_lineDerivCLM, signedDist_lineMap_lineMap, Complex.ofRealCLM_apply, MeasureTheory.IntegrableAtFilter.norm, contMDiffOn_continuousLinearMapCoordChange, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, UpperHalfPlane.ofComplex_apply_eq_of_im_nonpos, 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, mfderiv_coe_sphere_injective, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, Convex.exists_forall_hasDerivWithinAt, ModularForm.logDeriv_one_sub_mul_cexp_comp, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, Seminorm.iSup_apply, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, NumberField.Units.regOfFamily_of_isMaxRank, instSeminormClassAlgebraNormSubtypeAlgebraicClosureMemIntermediateFieldNormalClosure, Module.Basis.equivFunL_apply, WithSeminorms.tendsto_nhds, inner_map_complex, ContDiff.smulRight, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, BoundedContinuousFunction.probCharDual_zero, ContinuousMultilinearMap.flipLinear_apply_apply, tendsto_integral_mul_one_add_inv_smul_sq_pow, derivWithin_cos, Asymptotics.IsBigOTVS.trans_isLittleOTVS, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, Complex.arg_eq_nhds_of_im_neg, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, WithSeminorms.isOpen_iff_mem_balls, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, CStarMatrix.toCLM_apply_single, Real.fourier_fderiv, MeromorphicOn.inv_iff, MeasureTheory.AEStronglyMeasurable.inner, FormalMultilinearSeries.comp_id, ContDiffOn.differentiableOn_iteratedDerivWithin, Complex.tendsto_exp_comap_re_atBot, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, ContinuousMap.adjoin_id_eq_span_one_union, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, signedDist_vadd_left_swap, IsSelfAdjoint.spectrumRestricts, NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subset, Seminorm.const_isBounded, hasFTaylorSeriesUpTo_succ_nat_iff_right, IsCovariantDerivativeOn.leibniz, MeasureTheory.integrable_prod_iff, SchwartzMap.compSubConstCLM_zero, ContDiffMapSupportedIn.seminorm_top_le_iff, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, ContinuousMultilinearMap.isUniformEmbedding_toUniformOnFun, ConvexOn.monotoneOn_deriv, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, HasFDerivWithinAt.norm_sq, tsum_riemannZetaSummand, ProbabilityTheory.integrable_exp_mul_of_nonpos_of_ge, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, TendstoLocallyUniformlyOn.deriv, differentiableAt_abs_neg, ClosedSubmodule.iInf_orthogonal, LinearMap.tracePositiveLinearMap_apply, Asymptotics.isLittleOTVS_iff_smallSets, Complex.summable_ofReal, BoundedContinuousFunction.apply_le_norm, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, hasDerivAt_fourier_neg, MDifferentiableAt.clm_comp, DifferentiableWithinAt.div_const, nhds_hasBasis_absConvex, ProbabilityTheory.isGaussian_gaussianReal, HasDerivAt.clm_comp, derivWithin_const_rpow, norm_fderiv_norm_rpow_le, HasFPowerSeriesOnBall.neg, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, Real.circleMap.continuous, Seminorm.sSup_empty, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, nndist_midpoint_midpoint_le', fourier_eval_zero, Matrix.PosDef.commute_iff, Matrix.IsHermitian.cfcAux_apply, Polynomial.Chebyshev.integrable_measureT, 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, Bundle.RiemannianMetric.symm, MeasureTheory.integral_charFun_Icc, 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', deriv_rpow_const, derivWithin_ccosh, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, AbsoluteValue.IsEquiv.equivWithAbs_image_mem_nhds_zero, instFiniteDimensionalRealComplex, Real.hasDerivAt_cos, Differentiable.sigmoid, Matrix.ofLp_toEuclideanCLM, NumberField.mixedEmbedding.convexBodySumFun_continuous, hasFTaylorSeriesUpToOn_succ_nat_iff_right, HasDerivWithinAt.comp_hasDerivAt_of_eq, AffineSubspace.signedInfDist_eq_const_of_mem, ContinuousMultilinearMap.uniformContinuous_restrictScalars, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_const_smul, HasDerivAt.fun_sub, ProbabilityTheory.HasSubgaussianMGF.integrable, CStarMatrix.toCLM_apply_eq_sum, HasStrictFDerivAt.restrictScalars, mahler_natCast_eq, deriv_comp, PadicInt.coe_adicCompletionIntegersEquiv_apply, derivWithin_cexp, HasFDerivAt.ccosh, MeromorphicAt.eventually_continuousAt, UpperHalfPlane.dist_eq, Circle.star_addChar, HurwitzZeta.hurwitzZeta_residue_one, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, ContinuousMap.sup_mem_subalgebra_closure, hasDerivAt_exp_smul_const, RCLike.continuous_re, AddCircle.exists_norm_eq_of_isOfFinAddOrder, 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, DifferentiableOn.norm_sq, 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, Differentiable.norm_rpow, MeromorphicOn.divisor_fun_zpow, DifferentiableWithinAt.isBigOTVS_sub, LinearMap.isPositive_toContinuousLinearMap_iff, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, ProbabilityTheory.variance_continuousLinearMap_gaussianReal, Complex.tsum_exp_neg_quadratic, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', Asymptotics.IsLittleOTVS.congr', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', Real.differentiableWithinAt_arcsin_Ici, AddChar.wInner_cWeight_eq_one_iff_eq, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, DifferentiableWithinAt.fun_div, FormalMultilinearSeries.changeOrigin_eval_of_finite, Seminorm.map_eq_zero_of_norm_eq_zero, InformationTheory.klDiv_ne_top_iff, fderivWithin_fun_pow, RCLike.sqrt_map, derivWithin_exp, MeasureTheory.integrable_conv_iff, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, ConvexOn.integrable_apply_rnDeriv_of_integrable_compProd, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, iteratedFDerivWithin_two_apply', PadicInt.mahlerTerm_one, Polynomial.isEquivalent_atTop_div, HasDerivAt.const_smul, Real.hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, HasStrictDerivAt.hasStrictFDerivAt, PeriodPair.derivWeierstrassP_sub_coe, Balanced.interior, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, deriv.scomp, HasStrictDerivAt.add, Matrix.instFiniteElemRealSpectrum, AnalyticAt.analyticOrderAt_eq_natCast, rotationOf_rotation, IsMIntegralCurveAt.hasMFDerivAt, RCLike.smul_im, HasFDerivAt.multiset_prod, Differentiable.cpow, extDerivFun_add, deriv_neg_right_of_sign_deriv, SpectrumRestricts.real_iff, 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, HasFDerivAt.mul_const, RCLike.tendsto_ofReal_cobounded_cobounded, differentiableWithinAt_euclidean, NumberField.mixedEmbedding.volume_preserving_mixedSpaceToRealMixedSpace_symm, unitary.spectrum_subset_circle, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, FormalMultilinearSeries.radius_unshift, Complex.frontier_setOf_lt_im, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, deriv_abs_pos, MeromorphicOn.divisor_apply, Matrix.isPositive_toEuclideanLin_iff, derivWithin_rpow_const, 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, DifferentiableOn.sinh, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, MeasureTheory.convolution_mono_right_of_nonneg, VectorField.mlieBracketWithin_smul_left, exists_polynomial_near_continuousMap, ContinuousLinearMap.isometry_iff_adjoint_comp_self, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, MeasureTheory.Measure.integrable_compProd_iff, continuousMultilinearCurryFin0_apply, Complex.interior_reProdIm, HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven, HasGradientAt.differentiableAt, ContinuousMap.inf_mem_subalgebra_closure, PiTensorProduct.dualSeminorms_bounded, LinearMap.hasBasis_weakBilin, NormedSpace.exp_sum, FormalMultilinearSeries.radius_neg, Real.differentiableAt_cosh, HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, Complex.contDiff_exp, spectrum.isClosed, TemperedDistribution.fourierMultiplierCLM_toTemperedDistributionCLM_eq, ProbabilityTheory.covarianceBilin_self_nonneg, DifferentiableOn.abs, HasDerivAt.comp_const_sub, HasDerivAt.norm_sq, WeakBilin.locallyConvexSpace, GromovHausdorff.ghDist_eq_hausdorffDist, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, ProbabilityTheory.integral_linearMap_gaussianReal, HasDerivWithinAt.add, IsSelfAdjoint.conj_adjoint, AddCircle.coe_real_preimage_closedBall_inter_eq, ContinuousMultilinearMap.curryMidEquiv_apply, complexOfReal_deriv, Real.nnnorm_mul_toNNReal, Complex.closure_preimage_re, Summable.multipliableLocallyUniformlyOn_one_add, deriv_csin, HasStrictFDerivAt.continuousMultilinear_apply_const, Asymptotics.IsLittleOTVS.sup, hasSum_mellin_pi_mul, ContDiffMapSupportedIn.monoLM_eq_zero, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, Polynomial.hermite_eq_deriv_gaussian', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, fderiv_exp, DoubleCentralizer.algebraMap_snd, Differentiable.log, SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, WeakDual.polar_def, MeasureTheory.integrable_toReal_of_lintegral_ne_top, RCLike.wInner_const_left, AnalyticAt.analyticOrderNatAt_eq_iff, Complex.isOpenQuotientMap_pow, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, HurwitzZeta.hasSum_int_sinKernel, MeasureTheory.integrable_smul_const, hasFiniteFPowerSeriesOnBall_const, contDiffAt_inv, iteratedFDerivWithin_succ_apply_left, Orientation.areaForm_comp_linearIsometryEquiv, NormedField.exists_one_lt_nnnorm, hasStrictFDerivAt_norm_sq, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', SchwartzMap.fourier_evalCLM_eq, 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, ContinuousMultilinearMap.norm_mkPiAlgebra, 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, Real.deriv_exp, NumberField.canonicalEmbedding.nnnorm_eq, MeromorphicOn.divisor_zpow, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, contDiffAt_prod, DifferentiableWithinAt.csin, QuasispectrumRestricts.real_iff, ContinuousLinearMap.bilinearComp_apply, derivWithin_pow_field, Summable.multipliableLocallyUniformlyOn_nat_one_add, TemperedDistribution.instLineDerivSMulReal, deriv_sinh, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, RCLike.inner_apply, cot_series_rep, SchwartzMap.evalCLM_apply_apply, StrictConcaveOn.derivWithin_lt_slope, HasStrictDerivAt.log, NormedField.exists_enorm_lt_one, Summable.clog_one_sub, upperHemicontinuous_quasispectrum, spectrum.isBounded, ContinuousMultilinearMap.norm_restrictScalars, UpperHalfPlane.ofComplex_apply_eq_ite, ContMDiffWithinAt.clm_bundle_apply₂, Matrix.posDef_iff_eq_conjTranspose_mul_self, Polynomial.differentiableAt_aeval, DifferentiableAt.cosh, UpperHalfPlane.volume_eq_lintegral, Complex.analyticOn_iff_differentiableOn, WeakDual.CharacterSpace.compContinuousMap_apply, Subalgebra.frontier_subset_frontier, HasDerivAt.fun_div, HurwitzZeta.completedCosZeta_residue_zero, hasDerivAt_id, StrictConvexOn.slope_lt_derivWithin, HasFTaylorSeriesUpToOn.fderivWithin, Real.hasDerivAt_rpow_const, CStarMatrix.toCLM_apply, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, Real.toNNReal_mul_nnnorm, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, MeasureTheory.Integrable.re_im_iff, continuousMultilinearCurryFin0_symm_apply_apply, HasDerivWithinAt.fun_const_smul, deriv_cexp, ConvexOn.slope_le_of_hasDerivWithinAt, ContinuousLinearMap.ker_self_comp_adjoint, RCLike.hasSum_conj, Polynomial.isEquivalent_atBot_lead, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, differentiableAt_norm_smul, FormalMultilinearSeries.id_comp, fderivWithin.log, ContinuousLinearMap.norm_map_tail_le, deriv_update, UpperHalfPlane.qParam_tendsto_atImInfty, MeasureTheory.HasFiniteIntegral.norm, HasFPowerSeriesAt.restrictScalars, Real.iter_deriv_exp, contMDiffOn_symm_coordChangeL, DifferentiableWithinAt.finset_prod, hasDerivAt_integral_of_dominated_loc_of_deriv_le, Summable.hasProdLocallyUniformlyOn_one_add, ContinuousLinearMap.instStarModuleId, Real.differentiable_iteratedDeriv_cos, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, contMDiffAt_hom_bundle, Seminorm.convex_ball, VectorField.mlieBracketWithin_smul_right, Differentiable.norm_sq, NormedField.continuousAt_inv, HasDerivWithinAt.const_mul, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', ContinuousLinearMapWOT.instContinuousSMul, HasFDerivAt.continuousAlternatingMap_apply_const, Summable.multipliableUniformlyOn_one_add, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, RCLike.norm_wInner_le, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, ProbabilityTheory.IsGaussian.memLp_dual, LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re, Complex.isConnected_of_upperHalfPlane, AnalyticOnNhd.codiscreteWithin_setOf_analyticOrderAt_eq_zero_or_top, norm_fderiv_iteratedFDeriv, Complex.differentiable_sin, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, Module.Dual.extendRCLikeₗ_apply, Complex.abel_aux, UpperHalfPlane.dist_eq_iff_dist_coe_center_eq, TestFunction.lineDerivCLM_eq_fderivCLM, Complex.continuous_normSq, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, PeriodPair.weierstrassP_add_coe, Asymptotics.isLittleOTVS_map, isTheta_deriv_rpow_const_atTop, ProbabilityTheory.covarianceBilinDual_self_nonneg, IccLeftChart_extend_bot, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, HasDerivWithinAt.arctan, TemperedDistribution.fourier_lineDerivOp_eq, DifferentiableWithinAt.cpow_const, Matrix.l2_opNNNorm_def, MeromorphicOn.inv, hasDerivAtFilter_sub_const_iff, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.adjointAux_adjointAux, mdifferentiableOn_baseSet_localFrame_coeff, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, HasStrictDerivAt.const_add, Complex.conjCLE_coe_toLinearMap, LinearMap.polar_gc, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, 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, DifferentiableOn.cos, signedDist_lineMap_left, ContMDiffAt.clm_precomp, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, DirichletCharacter.differentiable_LFunction, WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded, ProbabilityTheory.covarianceBilin_real_self, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, Real.tendsto_rightDeriv_mul_log_atTop, NumberField.mixedEmbedding.norm_smul, Real.hasStrictDerivAt_arsinh, circleMap_preimage_codiscrete, PositiveLinearMap.gnsStarAlgHom_apply, iter_deriv_pow', cfc_integral, Asymptotics.IsBigOTVS.symm, MeasureTheory.AEStronglyMeasurable.const_inner, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, NormedAlgebra.toMulAlgebraNorm_apply, hasDerivAt_iff_tendsto_slope_zero, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, MeasureTheory.Integrable.integral_norm_compProd, Complex.lintegral_comp_polarCoord_symm, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, Asymptotics.isLittleOTVS_iff_isLittleO, integrable_rpow_mul_exp_neg_mul_sq, EuclideanSpace.basisFun_repr, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, zero_cpow_eq_nhds, 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, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, Seminorm.uniformContinuous, Complex.continuousAt_ofReal_cpow, Subalgebra.spectrum_isBounded_connectedComponentIn, MeromorphicOn.eventually_codiscreteWithin_analyticAt, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, InformationTheory.klDiv_eq_integral_klFun, ArithmeticFunction.IsMultiplicative.eulerProduct, ContinuousAlternatingMap.hasBasis_nhds_zero, LinearIsometry.coe_toSpanSingleton, ConcaveOn.le_slope_of_hasDerivWithinAt, AnalyticAt.eventually_constant_or_nhds_le_map_nhds_aux, Bornology.isBounded_iff_isVonNBounded, circleMap_mem_closedBall, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, VectorFourier.fourierSMulRight_apply, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, deriv_neg'', ContinuousLinearMap.isSelfAdjoint_iff', HasFDerivWithinAt.restrictScalars, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, MeasureTheory.euclideanHausdorffMeasure_homothety_image, RCLike.continuous_ofReal, HasDerivWithinAt.clog, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, ProbabilityTheory.integrable_exp_mul_of_le_of_le, IsLocalFrameOn.coeff_apply_of_notMem, ProbabilityTheory.evariance_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Seminorm.coe_sSup_eq', GromovHausdorff.eq_toGHSpace, ContinuousMultilinearMap.uncurryRight_apply, Seminorm.closedBall_smul, HasDerivAt.comp_const_add, NumberField.mixedEmbedding.polarCoord_source, SchwartzMap.fourierMultiplierCLM_ofReal, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, UpperHalfPlane.J_smul, fderiv_inv, differentiableWithinAt_iff_restrictScalars, Complex.orthonormalBasisOneI_repr_symm_apply, MeasureTheory.euclideanHausdorffMeasure_homothety_preimage, MeasureTheory.L1.nnnorm_Integral_le_one, Manifold.riemannianEDist_def, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, UpperHalfPlane.cmp_dist_eq_cmp_dist_coe_center, hasDerivAt_circleMap, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, 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, signedDist_anticomm, Complex.UnitDisc.instSMulCommClass_closedBall_right, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, UnitAddTorus.hasSum_mFourier_series_L2, MultilinearMap.mkContinuousLinear_norm_le', HasStrictDerivAt.cpow_const, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, Orientation.areaForm_comp_rightAngleRotation, NumberField.mixedEmbedding.continuous_norm, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, modelWithCornersEuclideanHalfSpace_zero, contDiffOn_fderiv_coord_change, UnitAddCircle.mem_approxAddOrderOf_iff, HasDerivWithinAt.neg, MeromorphicOn.logDeriv, Complex.continuousOn_tan, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.hausdorffMeasure_homothety_image, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, HasFDerivWithinAt.hasDerivWithinAt, Real.differentiableAt_arctan, ContinuousMultilinearMap.integral_apply, Complex.hasDerivAt_sqrt, spectralNorm_smul, HasStrictDerivAt.smul_const, Asymptotics.isEquivalent_of_tendsto_one, hasDerivAt_iff_hasFDerivAt, HasStrictDerivAt.sub, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_left, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasFiniteFPowerSeriesOnBall.neg, ContinuousWithinAt.of_dslope, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, differentiableWithinAt_abs_neg, sum_mul_eq_sub_integral_mul₁, HasDerivWithinAt.Ioo_of_Ioi, LinearMap.weakBilin_withSeminorms, RCLike.complexLinearIsometryEquiv_symm_apply, Real.differentiableOn_negMulLog, PadicInt.continuous_addChar_of_value_at_one, norm_derivWithin_eq_norm_fderivWithin, ModularForm.differentiableAt_eta_of_mem_upperHalfPlaneSet, Asymptotics.IsEquivalent.pow, differentiableWithinAt_dslope_of_ne, ApproximatesLinearOn.antilipschitz, LinearMap.polar_weak_closed, ProbabilityTheory.integrable_exp_mul_gaussianReal, WeakDual.isClosed_closedBall, MeasureTheory.integrable_add_iff_of_nonpos, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, AffineMap.derivWithin, HasDerivAt.arsinh, Meromorphic.fun_zpow, hasDerivAt_fourier, Filter.Tendsto.ofReal, 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, 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, Real.rightDeriv_mul_log, ProbabilityTheory.Kernel.integrable_density, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, ProbabilityTheory.hasFiniteIntegral_prodMk_left, UpperHalfPlane.le_dist_coe, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, fdifferential_comp, CStarMatrix.mul_entry_mul_eq_inner_toCLM, AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder, continuous_inner, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, 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, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, Seminorm.continuous_iff, ProbabilityTheory.hasFiniteIntegral_comp_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, ContinuousLinearMap.opNorm_mul_le, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, ContDiffWithinAt.fderivWithin', hasStrictDerivAt_abs_neg, Orientation.inner_rightAngleRotation_left, HasFDerivAt.comp_hasDerivWithinAt, WithSeminorms.continuous_seminorm, HasFPowerSeriesOnBall.tendstoUniformlyOn', Valued.integer.properSpace_iff_completeSpace_and_isDiscreteValuationRing_integer_and_finite_residueField, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, fderiv_apply_one_eq_deriv, HurwitzZeta.hasSum_nat_completedSinZeta, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, EulerProduct.eulerProduct_hasProd_mulIndicator, DifferentiableWithinAt.abs_of_neg, Asymptotics.IsLittleOTVS.comp_tendsto, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, IsUltrametricDist.algNormOfAlgEquiv_apply, integrableOn_exp_mul_complex_Iic, DifferentiableWithinAt.cosh, ContinuousAlternatingMap.continuous_restrictScalars, SchwartzMap.fourierMultiplierCLM_const, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, LSeries_eq_mul_integral, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, AddCircle.norm_coe_eq_abs_iff, TestFunction.monoCLM_eq_of_scalars, ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mul, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, Complex.frontier_setOf_le_re, HasDerivAt.rpow, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, Asymptotics.IsLittleOTVS.congr, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, LinearMap.toMatrixOrthonormal_apply, ProbabilityTheory.integrable_pow_of_mem_interior_integrableExpSet, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, fderivWithin_exp, UpperHalfPlane.contMDiff_denom_zpow, DifferentiableWithinAt.csinh, AnalyticOnNhd.eqOn_or_eventually_ne_of_preconnected, deriv_inv'', contDiffOn_tsum_cexp, convex_halfSpace_re_ge, OrthogonalFamily.inner_sum, deriv_circleMap, NormedSpace.vonNBornology_eq, ProbabilityTheory.covarianceBilin_apply_pi, cfcₙAux_injective, PeriodPair.latticeBasis_one, ProbabilityTheory.exp_neg_integrableOn_Ioc, ProbabilityTheory.deriv_mgf, EuclideanSpace.inner_eq_star_dotProduct, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, Polynomial.tendsto_nhds_iff, ContinuousLinearMap.isometry_mul, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, isCoveringMapOn_npow, MeasureTheory.Integrable.norm_integral_condDistrib_map, OrthonormalBasis.sum_repr_symm, Meromorphic.pow, 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, Real.differentiableWithinAt_arcsin_Iic, SchwartzMap.norm_toBoundedContinuousFunction_le, signedDist_triangle_right, Polynomial.hermite_eq_deriv_gaussian, isCompact_closedAbsConvexHull_of_totallyBounded, HasStrictFDerivAt.continuousAlternatingMap_apply, PadicInt.fwdDiff_iter_le_of_forall_le, ProbabilityTheory.hasFiniteIntegral_comp_iff, 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', StrictConcaveOn.strictAntiOn_deriv, contMDiffWithinAt_comp_projIcc_iff, Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, hasFDerivAt_polarCoord_symm, egauge_ball_one_le_of_one_lt_norm, HasFTaylorSeriesUpToOn.add, MeasureTheory.dist_convolution_le', ConcaveOn.slope_le_derivWithin, DifferentiableAt.of_dslope, isQuotientCoveringMap_zpow, AnalyticOnNhd.eval_polynomial, NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace_apply, differentiableOn_neg, fderivWithin_multiset_prod, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, Asymptotics.isBigOTVS_pi, LinearMap.continuous_of_nonzero_on_open, MeasureTheory.HasFiniteIntegral.of_mem_Icc, HasDerivWithinAt.csin, ConvexOn.real_univ_sSup_affine_eq, MeasureTheory.SignedMeasure.toComplexMeasure_apply_re, DifferentiableWithinAt.clm_comp, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, Real.deriv_arcsin, Complex.isBigO_im_sub_im, abs_signedDist_eq_dist_iff_vsub_mem_span, MDifferentiableOn.cle_arrowCongr, InnerProductSpace.innerSL_norm, ArithmeticFunction.LSeries_vonMangoldt_eq, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, ContinuousMultilinearMap.isEmbedding_toUniformOnFun, MultilinearMap.mkContinuousMultilinear_norm_le', SchwartzMap.le_seminorm, DoubleCentralizer.nnnorm_fst_eq_snd, AddCircle.closedBall_eq_univ_of_half_period_le, toWeakSpace_closedConvexHull_eq, ConvexOn.monotoneOn_leftDeriv, Unitization.norm_def, ContMDiff.clm_bundle_apply₂, EisensteinSeries.qExpansion_identity_pnat, SchwartzMap.eLpNorm_le_seminorm, Complex.isCoveringMapOn_exp, linear_isometry_complex_aux, HasStrictDerivAt.const_smul, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, deriv_neg', HasDerivAt.fun_sum, Orientation.kahler_rotation_left', Real.differentiable_sin, 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, MeromorphicOn.fun_zpow, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Distribution.dsupport_smulLeftCLM_subset, ContMDiffWithinAt.mfderivWithin, convex_halfSpace_im_ge, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContinuousLinearMap.extendTo𝕜_apply, AkraBazziRecurrence.isEquivalent_one_sub_smoothingFn_one, derivWithin_sin, ProbabilityTheory.integrable_exp_mul_abs_add, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, rotation_trans, integrableOn_Ioi_rpow_iff, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, Real.eulerMascheroniConstant_eq_neg_deriv, HasFDerivAt.comp_hasDerivWithinAt_of_eq, deriv_const_rpow, Real.not_differentiableAt_inv_log_zero, UpperHalfPlane.le_dist_iff_le_dist_coe_center, Orientation.abs_areaForm_le, PadicInt.hasSum_mahlerSeries, MeromorphicAt.pow, Real.deriv_mul_log, NumberField.mixedEmbedding.polarCoord_target, Complex.continuousAt_arg_coe_angle, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, CauSeq.cauchySeq, Asymptotics.superpolynomialDecay_iff_isBigO, ContinuousLinearMap.norm_extendTo𝕜', integrableOn_rpow_mul_exp_neg_rpow, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, StrongDual.polar_univ, Convex.image_derivWithin, 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, Padic.toEquiv_withValUniformEquiv_eq_toEquiv_withValRingEquiv, UpperHalfPlane.ofComplex_apply, MeasureTheory.Integrable.integral_norm_condDistrib, ContDiffMapSupportedIn.postcompCLM_apply, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, 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, signedDist_neg, PeriodPair.coeff_weierstrassPSeries, ProbabilityTheory.covarianceBilin_apply_basisFun, ProbabilityTheory.IsRatCondKernelCDFAux.integrable, 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, integrableOn_exp_mul_Ioi, Orientation.normSq_kahler, Complex.volume_closedBall, ProbabilityTheory.IsCondKernelCDF.integrable, 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, Complex.closure_setOf_re_lt, ProbabilityTheory.integrable_of_mem_integrableExpSet, Complex.deriv_cosh, MeromorphicOn.zpow, HasDerivAt.continuousAt, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, PeriodPair.derivWeierstrassP_coe, HasFPowerSeriesOnBall.tendsto_partialSum, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhd, HasDerivWithinAt.Ioi_of_Ioo, HasDerivWithinAt.fun_mul, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, AbsConvex.closure, Manifold.IsImmersionOfComplement.ofOpen, hasFDerivAt_exp_smul_const_of_mem_ball, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, norm_root_le_spectralValue, Real.differentiableAt_tan, Real.differentiable_cosh, 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, DifferentiableAt.rpow, VectorFourier.contDiff_fourierIntegral, ProbabilityTheory.integrable_exp_abs_mul_abs, ContinuousLinearMap.adjoint_comp_self_injective_iff, iteratedFDeriv_succ_apply_right, fourierSubalgebra_coe, NumberField.InfinitePlace.denseRange_algebraMap_pi, FormalMultilinearSeries.leftInv_coeff_one, ConcaveOn.leftDeriv_le_slope, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, ProbabilityTheory.integrable_compProd_iff, Matrix.exp_conj, MeromorphicAt.prod, Polynomial.toAddCircle_monomial_eq_smul_fourier, NumberField.finite_of_discr_bdd, Complex.inner, ProbabilityTheory.variance_dual_stdGaussian, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, Asymptotics.IsThetaTVS.symm, continuousAt_const_cpow', fderiv_deriv, DifferentiableOn.finset_prod, Complex.hasStrictDerivAt_sin, Complex.polarCoord_source, hasFPowerSeriesAt_pi_iff, Module.Basis.continuous_toMatrix, derivWithin_ccos, NormedField.continuousAt_zpow, ConcaveOn.derivWithin_le_slope, hasDerivWithinAt_univ, Asymptotics.isLittleOTVS_neg_right, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, Seminorm.ball_zero_absorbs_ball_zero, RCLike.continuous_conj, MeasureTheory.MemLp.norm_rpow_div, NumberField.mixedEmbedding.polarCoord_symm_eq, Diffeology.isPlot_iff_contDiff, continuous_barycentric_coord, signedDist_vsub_self_rev, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, Complex.exp_sub_sum_range_succ_isLittleO_pow, ContinuousLinearMapWOT.ext_dual_iff, Int.Matrix.one_le_norm_A_of_ne_zero, ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints, 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, norm_fderiv_norm, MeasureTheory.measureReal_abs_gt_le_integral_charFun, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, eventually_enorm_mfderiv_extChartAt_lt, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, multipliableUniformlyOn_of_clog, EuclideanSpace.piLpCongrLeft_single, HasDerivAt.ofReal_comp, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, hasFDerivAt_exp_smul_const, Differentiable.inner, UpperHalfPlane.dist_center_dist, LinearMap.mkContinuous₂_norm_le, DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, signedDist_linear_apply, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, LeftInvariantDerivation.map_smul, hasFDerivAt_jacobiTheta₂, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, oneTangentSpaceIcc_def, Asymptotics.IsEquivalent.div, HasDerivAt.hasFDerivAt_equiv, Complex.isHomeomorphicTrivialFiberBundle_re, WithSeminorms.congr_equiv, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, NumberField.mixedEmbedding.polarSpaceCoord_target', Continuous.cpow, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, hasStrictDerivAt_const, fderiv_finset_prod, IccRightChart_extend_top_mem_frontier, ConcaveOn.deriv_le_slope, ContinuousLinearMap.self_comp_adjoint_injective_iff, rotationOf_coe, Real.Lp.fourierTransformCLM_apply, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, hasFDerivWithinAt_euclidean, HasFPowerSeriesWithinAt.restrictScalars, DifferentiableWithinAt.ccosh, Module.Basis.parallelepiped_eq_map, Asymptotics.IsEquivalent.exists_eq_mul, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, ContDiffMapSupportedIn.norm_apply_le_seminorm, Complex.deriv_tan, contDiffOn_clm_apply, isCauSeq_iff_cauchySeq, MeromorphicAt.frequently_eq_iff_eventuallyEq, fderiv_continuousAlternatingMap_apply_apply, DifferentiableAt.differentiableAt_norm_of_smul, UpperHalfPlane.dist_le_dist_coe_div_sqrt, HasDerivWithinAt.fun_sub, MeasureTheory.tendsto_eLpNorm_condExp, Seminorm.inf_apply, PiTensorProduct.mapLMultilinear_apply_apply, iteratedDeriv_comp_two, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, LinearMap.mem_polar_singleton, ContinuousMap.setOfIdeal_eq_compl_singleton, ContinuousLinearMap.evalL_apply, signedDist_self, MeasureTheory.MemLp.norm, Complex.hasDerivAt_cosh, isBoundedBilinearMap_apply, FormalMultilinearSeries.analyticOnNhd, EisensteinSeries.tendsto_zero_inv_linear, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, Complex.deriv_const_cpow, ProperCone.dual_flip_dual, RCLike.ofRealCLM_norm, integrable_inv_one_add_sq, ContinuousLinearMap.IsInvertible.contDiffAt_map_inverse, HasStrictDerivAt.comp, Complex.sqrt_map, deriv_cos, hasStrictFDerivAt_ringInverse, Complex.UnitDisc.coe_smul_closedBall, signedDist_vsub_self, DifferentiableAt.arsinh, ContinuousLinearMap.mul_apply', spectralAlgNorm_one, fromTangentSpace_mfderiv_smul, HurwitzZeta.differentiableAt_hurwitzZeta, MeasureTheory.SignedMeasure.rnDeriv_smul, UpperHalfPlane.IsZeroAtImInfty.zero_at_infty_comp_ofComplex, MeromorphicNFOn.zero_set_eq_divisor_support, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, ProbabilityTheory.integrable_rpow_abs_of_integrable_exp_mul, Affine.Simplex.exists_forall_signedInfDist_eq_iff_eq_incenter, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, signedDist_smul, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, MeasureTheory.eLpNorm_mono_ae_real, HasDerivAt.tendsto_slope, RCLike.im_tsum, InnerProductSpace.rankOne_comp_rankOne, TemperedDistribution.fourierTransform_apply, MeasureTheory.convolution_lsmul_swap, MeromorphicOn.circleAverage_log_norm, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, Real.hasStrictDerivAt_arctan, ProbabilityTheory.charFun_inv_sqrt_mul_sum, Complex.interior_setOf_re_le, DirichletCharacter.deriv_LFunctionTrivChar₁_apply_of_ne_one, HasDerivAtFilter.comp_of_eq, AnalyticAt.hasFPowerSeriesAt, ZLattice.volume_image_eq_volume_div_covolume, StrictConcaveOn.strictAntiOn_derivWithin, hasDerivAtFilter_finCons', Asymptotics.IsBigOTVS.eventually_smallSets, Complex.isOpen_im_gt_EReal, Filter.Tendsto.const_cpow, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, Real.map_linearMap_volume_pi_eq_smul_volume_pi, MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, nnnorm_apply_le_nnnorm_cfc, TestFunction.fderivCLM_eq_of_scalars, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, tendsto_logDeriv_euler_cot_sub, SlashInvariantForm.coe_trace, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, hasDerivWithinAt_finCons', Euclidean.closedBall_eq_preimage, Matrix.isHermitian_iff_isSymmetric, BoundedContinuousFunction.instIsBoundedSMul_1, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, LSeries_differentiableOn, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, hasStrictFDerivAt_finset_prod, TestFunction.lineDerivCLM_eq_of_scalars, instContMDiffInv₀ModelWithCornersSelf, differentiableAt_riemannZeta, spectralAlgNorm_extends, ProbabilityTheory.memLp_id_gaussianReal, Complex.tendsto_partialGamma, intervalIntegral.differentiable_integral_of_continuous, 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, LipschitzWith.locallyIntegrable_lineDeriv, UpperHalfPlane.eventuallyEq_coe_comp_ofComplex, InnerProductSpace.rankOne_comp, AddCircle.norm_neg_period, SmoothBumpCovering.embeddingPiTangent_injOn, EisensteinSeries.summable_linear_sub_mul_linear_add, HasDerivWithinAt.comp_hasFDerivAt, MeasureTheory.memLp_norm_rpow_iff, hasSum_mellin_pi_mul₀, StrongDual.mem_polarSubmodule, Complex.differentiableAt_sqrt, exists_dual_vector', MeromorphicAt.fun_prod, derivWithin_inv', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, 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, ConcaveOn.slope_le_of_hasDerivWithinAt, Asymptotics.IsLittleOTVS.snd, hasFPowerSeriesWithinAt_pi_iff, DifferentiableWithinAt.div, UnitAddTorus.hasSum_mFourier_series_of_summable, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar, hasDerivAt_iff_isLittleO_nhds_zero, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, HurwitzZeta.hasSum_nat_hurwitzZetaOdd, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, Function.Periodic.invQParam_tendsto, InnerProductSpace.toMatrix_rankOne, MDifferentiableWithinAt.clm_comp, HasFDerivWithinAt.continuousMultilinear_apply_const, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, Bornology.IsVonNBounded.vadd, cfcₙHom_real_eq_restrict, PeriodPair.latticeEquiv_symm_apply, LinearMap.polar_AbsConvex, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, PiTensorProduct.liftIsometry_comp_mapL, Complex.closure_setOf_lt_re, UnitAddTorus.mFourierSubalgebra_separatesPoints, MDifferentiableOn.clm_comp, HasStrictDerivAt.fun_const_smul, Complex.betaIntegral_convergent, EisensteinSeries.tsum_tsum_symmetricIco_sub_eq, HasDerivWithinAt.congr_deriv, RCLike.geometric_hahn_banach_open, Seminorm.continuous_iSup, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, Real.differentiableOn_arccos, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, AnalyticAt.preimage_of_nhdsNE, IsLocalMin.deriv_eq_zero, HurwitzZeta.differentiableAt_update_of_residue, harmonic_is_realOfHolomorphic, Real.hasDerivAt_cosh, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, Real.tendsto_deriv_mul_log_atTop, continuousMultilinearCurryLeftEquiv_apply, Orientation.abs_areaForm_of_orthogonal, MeasureTheory.AECover.integrable_of_integral_tendsto_of_nonneg_ae, LipschitzOnWith.ae_differentiableWithinAt_real, LeftInvariantDerivation.coe_smul, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, UnitAddCircle.norm_eq, HasFPowerSeriesAt.deriv, ModularForm.summable_logDeriv_one_sub_eta_q, PeriodPair.weierstrassPSeries_hasSum, innerₗ_apply_apply, DifferentiableOn.div, LSeries_sum, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, Seminorm.coe_sSup_eq, SchwartzMap.norm_toLp_top_le, HasFDerivAt.csin, MeasureTheory.eLpNorm_norm_rpow, StrictConvexOn.lt_slope_of_hasDerivWithinAt, 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, NumberField.mixedEmbedding.continuous_normAtPlace, Asymptotics.IsLittleOTVS.bot, SchwartzMap.tsupport_fderivCLM_subset, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, ContinuousLinearMap.isBigOTVS_comp, PadicAlgCl.valuation_def, Manifold.IsImmersionAtOfComplement.of_opens, hfdifferential_apply, MeasureTheory.Integrable.inner_const, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, Complex.closure_reProdIm, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, CompactlySupportedContinuousMap.toNNRealLinear_apply, Real.hasDerivAt_fourierChar, bilinFormOfRealInner_orthogonal, ContinuousLinearMap.intervalIntegral_apply, AnalyticOnNhd.fderiv, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, MeromorphicAt.fun_mul, HasFDerivWithinAt.comp_hasDerivWithinAt, hasDerivAt_intCast, Orientation.kahler_rotation_left, multipliable_sineTerm, Seminorm.absorbent_ball_zero, LindemannWeierstrass.integral_exp_mul_eval, HasDerivWithinAt.inv, 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, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, Real.differentiableWithinAt_arccos_Iic, NormedField.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, derivWithin_comp, ContinuousMultilinearMap.changeOriginSeries_support, PeriodPair.deriv_derivWeierstrassPExcept_self, UpperHalfPlane.meromorphicOrderAt_comp_smul, Differentiable.csinh, Asymptotics.isBigOTVS_fun_comm, mdifferentiableWithinAt_comp_projIcc_iff, ContDiffMapSupportedIn.seminorm_apply, LinearMap.tripolar_eq_polar, RCLike.toIsOrderedAddMonoid, Complex.hasStrictDerivAt_exp, ContinuousAffineMap.snd_decompLinearIsometryEquiv, HasDerivWithinAt.limsup_slope_le', WithSeminorms.tendsto_nhds_atTop, HasFDerivAt.isThetaTVS_sub, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, Complex.re_tsum, Orientation.inner_sq_add_areaForm_sq, Continuous.inner, Real.enorm_exp_I_mul_ofReal_sub_one_le, signedDist_smul_of_neg, 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, ProbabilityTheory.integrable_rpow_mul_exp_of_integrable_exp_mul, nnnorm_fderiv_norm_rpow_le, differentiableAt_abs_pos, Differentiable.exp, EisensteinSeries.q_expansion_bernoulli, deriv_clm_comp, HasStrictFDerivAt.approximates_deriv_on_open_nhds, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, ContinuousLinearMap.toBilinForm_injective, integrableOn_exp_neg_Ioi, 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, tsum_prod_pow_eq_tsum_sigma, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, norm_le_spectralNorm, WeakDual.metrizable_of_isCompact, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Real.hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, Asymptotics.IsBigOTVS.triangle, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, ContinuousLinearMap.isEmbedding_restrictScalars, spectrum.hasFDerivAt_resolvent, MeasureTheory.MemLp.re, RCLike.nnnorm_conj, deriv_comp_of_eq, contDiff_prod', SchwartzMap.integral_fourier_mul_eq, HasFiniteFPowerSeriesOnBall.eq_partialSum', AkraBazziRecurrence.isEquivalent_smoothingFn_sub_self, continuousAt_cpow_const, GaussianFourier.tendsto_verticalIntegral, coe_lpBCFₗᵢ_symm, MeromorphicOn.AnalyticOnNhd.divisor_nonneg, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, IsBoundedBilinearMap.toContinuousLinearMap_apply, Bornology.isVonNBounded_sub, HasFPowerSeriesOnBall.pi, NormedSpace.isCompact_closure_of_isBounded, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, HasFPowerSeriesWithinOnBall.fderivWithin_eq, Complex.UnitDisc.continuous_coe, MeasureTheory.integrable_prod_iff', ContinuousMultilinearMap.piₗᵢ_symm_apply, integral_coe_re_add_coe_im, RCLike.wInner_one_const_right, AlgHom.coe_toContinuousLinearMap, hahnEmbedding_isOrderedModule_rat, ConvexOn.derivWithin_le_slope, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, NumberField.linearDisjoint_of_isGalois_isCoprime_discr, Affine.Simplex.sign_signedInfDist_touchpoint_empty, 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, signedDist_vadd_right_swap, differentiableAt_const_cpow_of_neZero, tsum_dirichletSummand, Filter.Tendsto.isVonNBounded_range, HasDerivAt.const_mul, AnalyticOnNhd.codiscrete_setOf_analyticOrderAt_eq_zero_or_top, Real.hasFDerivAt_fourierIntegral, HasDerivWithinAt.congr, SchwartzMap.integralCLM_apply, EulerSine.tendsto_integral_cos_pow_mul_div, linearEquiv_det_rotation, IsCovariantDerivativeOn.add_one_form, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, PolynormableSpace.withSeminorms', Real.differentiable_mulExpNegMulSq, ContinuousMap.neg_norm_le_apply, hasDerivAt_one, HasDerivAtFilter.fun_neg, AddCircle.coe_real_preimage_closedBall_period_zero, Complex.dist_conj_conj, HasStrictFDerivAt.hasStrictDerivAt, circleIntegrable_sub_zpow_iff, integrable_of_isBigO_exp_neg, FormalMultilinearSeries.radius_shift, Polynomial.fourierCoeff_toAddCircle_natCast, hasFDerivAt_iff_isLittleOTVS, nnnorm_algebraMap', Real.differentiableAt_arccos, ConvexOn.real_univ_sSup_of_nat_affine_eq, fderivWithin_sqrt, Complex.conjCLE_apply, ContinuousMap.spectrum_eq_range, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, Valued.integer.exists_nnnorm_lt_one, Real.not_DifferentiableAt_log_mul_zero, innerSLFlip_apply, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, ContinuousAt.clm_bundle_apply₂, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, iccLeftChart_extend_zero, ContinuousMultilinearMap.hasBasis_nhds_zero_of_basis, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, hasDerivAt_const_mul, HasDerivWithinAt.ccos, fourierCoeffOn_of_hasDerivAt_Ioo, ContinuousMultilinearMap.isVonNBounded_image2_apply, hasLineDerivAt_iff_tendsto_slope_zero, Circle.coe_eq_one, InnerProductSpace.toContinuousLinearMap_toDualMap, MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, Complex.differentiable_one_div_Gamma, MeasureTheory.eLpNorm_one_le_of_le, Valued.integer.properSpace_iff_compactSpace_integer, fderiv_continuousMultilinearMapCompContinuousLinearMap, MeasureTheory.taylorWithinEval_charFun_two_zero, completeSpace_of_cauSeq_isComplete, HasDerivWithinAt.smul_const, Euclidean.ball_eq_preimage, Polynomial.fderivWithin_aeval, fderiv_sinh, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, norm_iteratedFDeriv_prod_le, 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, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Submodule.topologicalClosure_eq_top_iff, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, DirichletCharacter.LSeries_eulerProduct_exp_log, mdifferentiableOn_coordChangeL, Finset.analyticAt_prod, Polynomial.fderivWithin, HasFDerivWithinAt.const_cpow, HasFiniteFPowerSeriesOnBall.add, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, SummableLocallyUniformlyOn.differentiableOn, 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, OrthonormalBasis.repr_symm_single, MeasureTheory.hasFiniteIntegral_toReal_iff, Real.fourierChar_apply, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, ProbabilityTheory.covarianceBilin_of_not_memLp, InformationTheory.rightDeriv_klFun, MultilinearMap.mkContinuousMultilinear_norm_le, interior_range_modelWithCornersEuclideanHalfSpace, tendsto_tprod_one_add_of_dominated_convergence, WeakDual.CharacterSpace.norm_le_norm_one, ContDiffMapSupportedIn.monoCLM_eq_zero, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, Matrix.linfty_opNorm_toMatrix, ConvexOn.real_sSup_of_countable_affine_eq, hasDerivAt_natCast, cfcL_integral, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, HasDerivAtFilter.fun_sub, Seminorm.rescale_to_shell, HasDerivWithinAt.union, AddCircle.addWellApproximable_ae_empty_or_univ, ProbabilityTheory.differentiableOn_complexMGF, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, closedBall_normSeminorm, Real.hasStrictDerivAt_cos, PeriodPair.deriv_weierstrassPExcept_same, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, IntervalIntegrable.intervalIntegrable_slope, 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, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, Real.not_differentiableAt_rpow_const_zero, 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, Differentiable.dist, 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, ProbabilityTheory.condVar_of_sigmaFinite, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, MeromorphicOn.fun_mul, Complex.instTietzeExtension, HasDerivWithinAt.congr_set, MeasureTheory.MemLp.haarAddCircle, Bornology.isVonNBounded_add, Differentiable.sqrt, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, NumberField.InfinitePlace.Completion.algebraMap_coe, ProperSpace.of_locallyCompact_module, RightDerivMeasurableAux.differentiable_set_eq_D, MeasureTheory.AECover.integrable_of_integral_bounded_of_nonneg_ae, hasDerivWithinAt_zpow, OrthogonalFamily.range_linearIsometry, NumberField.mixedEmbedding.convexBodyLT_convex, intervalIntegral.integrableOn_deriv_right_of_nonneg, hasFPowerSeriesOnBall_cuspFunction, MeasureTheory.HasFiniteIntegral.max_zero, Complex.instT2Space, mellin_convergent_iff_norm, Monotone.deriv_nonneg, UpperHalfPlane.exp_half_dist, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, fderiv_continuousMultilinear_apply_const, Orientation.kahler_mul, derivWithin_fun_finset_prod, HasDerivWithinAt.smul, innerSL_real_flip, GaussianFourier.integral_cexp_neg_mul_sum_add, Complex.continuous_ofReal_cpow_const, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, RCLike.nnnorm_two, ProbabilityTheory.iteratedDeriv_two_cgf, DifferentiableWithinAt.rpow_const, MeasureTheory.Integrable.pos_part, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, measurableSet_of_differentiableWithinAt_Ioi, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, Real.differentiable_iteratedDeriv_sin, ProbabilityTheory.deriv_mgf_zero, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, 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, HasMFDerivAt.prod, fderivWithin_csin, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, Function.Periodic.eventually_differentiableAt_cuspFunction_nhds_ne_zero, Real.deriv_sigmoid, LSeries.tendsto_cpow_mul_atTop, exists_ratio_deriv_eq_ratio_slope', ContinuousMultilinearMap.curryMid_apply, ProperCone.dual_dual_flip, ContinuousAt.cpow, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, flip_innerₗ, HasFDerivWithinAt.comp_hasDerivAt, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, EisensteinSeries.tendsto_double_sum_S_act, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, HasDerivAt.eventually_notMem, WeakDual.CharacterSpace.mem_spectrum_iff_exists, ClosedSubmodule.sInf_orthogonal, intervalIntegral.fderivWithin_integral_of_tendsto_ae, HasDerivWithinAt.tendsto_nhdsWithin_nhdsNE, HasDerivAt.mul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, MeasureTheory.LocallyIntegrableOn.norm, HasStrictFDerivAt.isBigOTVS_sub, Matrix.PosSemidef.re_dotProduct_nonneg, ContMDiff.clm_postcomp, Orientation.volumeForm_robust', Complex.sinh_eq_tsum, balanced_closedBall_zero, continuousAt_jacobiTheta₂, HurwitzZeta.hasSum_nat_hurwitzZetaEven_of_mem_Icc, instSMulCommClass_sphere_ball_ball, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MDifferentiableAt.coordChangeL, Polynomial.isOpenQuotientMap_eval, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, fderivWithin_continuousAlternatingMap_apply_const, ContDiffAt.clm_comp, EulerSine.antideriv_sin_comp_const_mul, DifferentiableOn.arctan, ContinuousLinearMap.norm_restrictScalars, Complex.differentiableAt_cosh, Asymptotics.IsLittleOTVS.isBigOTVS, Finset.analyticOn_fun_prod, coe_normSeminorm, ApproximatesLinearOn.closedBall_subset_target, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, signedDist_vadd_left, Diffeology.IsPlot.contDiff, ModularGroup.tendsto_lcRow0, Differentiable.fun_finset_prod, ProbabilityTheory.integrable_kernel_prodMk_left, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, MDifferentiableWithinAt.clm_postcomp, 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, ContDiffBump.convolution_eq_right, TemperedDistribution.instFourierInvSMul, PadicInt.totallyBounded_univ, HasDerivWithinAt.const_smul, ProbabilityTheory.deriv_cgf, Derivative.normalizedDerivOfComplex_mdifferentiable, ContMDiff.clm_prodMap, Complex.deriv_cos', Complex.imCLM_coe, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, isBoundedBilinearMap_inner, DifferentiableOn.cosh, Complex.isQuotientMap_im, HasDerivWithinAt.hasDerivAt, ContinuousLinearMap.opNorm_mul_apply_le, intervalIntegral.integral_hasFDerivWithinAt, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, DifferentiableAt.cpow_const, Polynomial.aeval_ofReal, deriv_pow_field, SmoothBumpCovering.embeddingPiTangent_injective, ContinuousLinearMap.orthogonal_range, ProbabilityTheory.memLp_tilted_mul, HasFiniteFPowerSeriesAt.add, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', Int.nnnorm_coe_units, MeromorphicOn.min_divisor_le_divisor_add, HasDerivWithinAt.rpow_const, ProbabilityTheory.covarianceBilin_apply, ContinuousLinearMap.isThetaTVS_comp, AnalyticAt.eventually_eq_or_eventually_ne, Polynomial.hasDerivAt_aeval, MeasureTheory.stronglyMeasurable_charFun, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, DifferentiableWithinAt.arsinh, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, AkraBazziRecurrence.isEquivalent_one_add_smoothingFn_one, TestFunction.fderivCLM_apply_of_gt, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', hasDerivAt_gronwallBound, hasDerivWithinAt_const_add_iff, Complex.continuous_ofReal, deriv_finset_prod, logDeriv_prod, ContinuousMap.comp_attachBound_mem_closure, 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, deriv_div, Polynomial.C_eq_or_isOpenQuotientMap_eval, Complex.derivWithin_const_cpow, exists_deriv_eq_slope', hasDerivAt_ofReal_cpow_const, EisensteinSeries.summable_e2Summand_symmetricIcc, hasDerivAt_norm_rpow, ContinuousLinearMap.spectrum_eq, UnitAddTorus.hasSum_prod_mFourierCoeff, Padic.withValUniformEquiv_cast_apply, Real.differentiableAt_tan_of_mem_Ioo, Real.not_continuousAt_deriv_qaryEntropy_zero, TendstoUniformlyOn.comp_cexp, NumberField.mixedEmbedding.latticeBasis_apply, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, spectrum.exp_mem_exp, HasStrictDerivAt.fun_sub, HasDerivWithinAt.star, Unitization.isUniformEmbedding_addEquiv, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, Meromorphic.logDeriv, signedDist_apply_linear_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, 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, HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, ContinuousLinearMap.norm_bilinearRestrictScalars, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, ContinuousLinearMap.nhds_zero_eq, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, ContinuousMap.adjoin_id_eq_span_one_add, DifferentiableWithinAt.clog, LeftInvariantDerivation.map_neg, Complex.sin_eq_tsum, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, RCLike.real_smul_ofReal, differentiableAt_jacobiTheta₂_snd, Padic.coe_withValRingEquiv, AnalyticOnNhd.sum_divisor_le, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, TendstoLocallyUniformlyOn.differentiableOn, AffineSubspace.signedInfDist_singleton, 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, IsUltrametricDist.normedAlgebra_iff, ContinuousMap.apply_le_norm, PadicInt.fwdDiff_mahlerSeries, AnalyticOnNhd.preimage_mem_codiscreteWithin, LSeries.tendsto_atTop, MeasureTheory.AEStronglyMeasurable.integrable_truncation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, 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, Bundle.ContinuousRiemannianMetric.pos, Complex.isOpen_im_lt_EReal, SchwartzMap.derivCLM_apply, ContDiffAt.fderiv, Matrix.toLin_finTwoProd_toContinuousLinearMap, Seminorm.gauge_ball, Circle.coe_inv, RCLike.map_nonneg_iff, hasSum_fourier_series_of_summable, Polynomial.supNorm_le_choose_natDegree_div_two_mul_mahlerMeasure, Convex.image_deriv, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, MeromorphicOn.negPart_divisor_add_le_max, Real.deriv_cos, IsCoercive.continuousLinearEquivOfBilin_apply, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivAtFilter_iff_hasFDerivAtFilter, integrableOn_Ioi_exp_neg_mul_sq_iff, Orientation.volumeForm_zero_neg, hasDerivWithinAt_inter', BoundedContinuousFunction.nnnorm_coeFn_eq, Real.differentiableAt_binEntropy, Complex.hasStrictDerivAt_cpow_const, HasDerivWithinAt.scomp_hasDerivAt, ContDiffBump.dist_normed_convolution_le, MDifferentiableOn.clm_precomp, WithAbs.isUniformInducing_of_comp, VectorField.lieBracketWithin_smul_right, QuadraticForm.equivalent_sign_ne_zero_weighted_sum_squared, mellin_differentiableAt_of_isBigO_rpow_exp, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', Orientation.areaForm_map, Real.enorm_rpow_of_nonneg, Asymptotics.isEquivalent_iff_tendsto_one, differentiable_neg, hasDerivAt_neg, LinearMap.derivWithin, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, inner_gradientWithin_left, hasDerivAtFilter_finCons, ContinuousLinearMap.adjoint_comp, deriv_bernoulliFun, iteratedFDeriv_zero_eq_comp, HasStrictDerivAt.prodMk, NNReal.nnnorm_eq, det_fderivPiPolarCoordSymm, hasFTaylorSeriesUpToOn_succ_iff_left, HasDerivWithinAt.mul_const, WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded, Padic.isUniformInducing_cast_withVal, HasCompactSupport.hasDerivAt_convolution_left, PadicInt.continuous_multichoose, Complex.hasSum_taylorSeries_neg_log, Polynomial.hasStrictDerivAt, PeriodPair.hasSumLocallyUniformly_aux, HasDerivWithinAt.cexp, Real.deriv2_qaryEntropy, VectorFourier.integral_bilin_fourierIntegral_eq_flip, Real.differentiableAt_exp, deriv_clm_apply, Real.hasStrictDerivAt_arcsin, ConvexOn.slope_le_of_hasDerivAt, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, contDiffWithinAt_prod, HasFPowerSeriesWithinOnBall.add, NumberField.mixedEmbedding.logMap_real, contDiffOn_succ_iff_fderivWithin, NumberField.mixedEmbedding.commMap_apply_of_isReal, derivWithin_fun_pow, ZSpan.fundamentalDomain_pi_basisFun, AffineMap.hasStrictDerivAt, LipschitzWith.ae_differentiableAt_of_real, InnerProductSpace.toLinearMap_rankOne, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, HasDerivWithinAt.Ioi_of_Ici, NormedSpace.of_real_exp_ℝ_ℝ, ContinuousLinearMap.adjointAux_inner_right, HasDerivWithinAt.Ioi_iff_Ioo, VectorField.mpullback_mfderivWithin_apply_smul, Seminorm.finset_sup_smul, MeasureTheory.Measure.integrable_comp_iff, Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real, HasMFDerivWithinAt.mul, Bundle.RiemannianMetric.pos, NumberField.mixedEmbedding.polarCoord_apply, TemperedDistribution.instLineDerivSMulComplex, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, euler_sineTerm_tprod, MeasureTheory.MemLp.of_haarAddCircle, HilbertBasis.repr_self, HasStrictFDerivAt.clm_apply, NormedField.discreteTopology_of_bddAbove_range_norm, ContMDiffAt.clm_bundle_apply₂, ContDiffMapSupportedIn.fderivLM_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', Seminorm.isBounded_sup, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, spectralNorm.spectralMulAlgNorm_eq_of_mem_roots, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux, continuousMultilinearCurryRightEquiv_symm_apply', ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, MeasureTheory.integrable_norm_pow_of_le, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.L1.setToL1_add_left, ContDiffWithinAt.fderivWithin, WeakDual.isCompact_of_bounded_of_closed, ContDiffMapSupportedIn.continuousSMul, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, StrongDual.zero_mem_polar, Subalgebra.frontier_spectrum, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, DifferentiableAt.abs, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, Complex.log_eq_integral, BoundedContinuousFunction.add_norm_nonneg, MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt, Complex.equivRealProdCLM_symm_apply_re, DifferentiableOn.cexp, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, MeromorphicOn.divisor_smul, UpperHalfPlane.sinh_half_dist_add_dist, HasFDerivAtFilter.isLittleOTVS, NumberField.mixedEmbedding.continuous_normAtAllPlaces, iteratedDerivWithin_eq_equiv_comp, PeriodPair.isClosed_of_subset_lattice, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, MeasureTheory.hasFiniteIntegral_prod_iff, IsCompact.reProdIm, LinearPMap.adjointDomainMkCLMExtend_apply, nnnorm_cfcₙ_le_iff, HasDerivAt.const_add, WithAbs.pseudoMetricSpace_induced_of_comp, MeasureTheory.charFun_map_mul, DifferentiableAt.cos, iteratedFDerivWithin_two_apply, extDerivWithin_smul, fderiv_ccosh, PeriodPair.not_continuousAt_weierstrassP, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, MeasureTheory.integrable_llr_tilted_right, LinearIsometry.im_apply_eq_im, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, HasStrictFDerivAt.cpow, HurwitzZeta.differentiable_cosZeta_of_ne_zero, ContDiffPointwiseHolderAt.fderiv, CompactlySupportedContinuousMap.toReal_smul, fderiv_fun_mul, Orientation.inner_rightAngleRotationAux₁_right, hasFDerivAt_pi_polarCoord_symm, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO, BoundedContinuousFunction.norm_sub_nonneg, NumberField.mixedEmbedding.latticeBasis_repr_apply, Submodule.adjoint_orthogonalProjection, Filter.HasBasis.isBigOTVS_iff, Complex.deriv_cpow_const, MeasureTheory.MemLp.im, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, DifferentiableWithinAt.norm_sq, ContinuousMapZero.instCStarRing, NormedField.instCompletableTopField, SchwartzMap.integral_fourierInv_mul_eq, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, Asymptotics.IsEquivalent.inv, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', CurveIntegrable.smul, ConvexOn.deriv_le_slope, ContinuousLinearMap.hasFDerivAt_of_bilinear, ProbabilityTheory.integrable_pow_abs_mul_exp_of_integrable_exp_mul, FormalMultilinearSeries.min_radius_le_radius_add, hasStrictDerivAt_one, Complex.summable_one_div_nat_cpow, MeromorphicOn.fun_div, HasDerivWithinAt.of_isLittleO, signedDist_right_lineMap, contMDiffAt_iff_localFrame_coeff, Complex.nndist_conj_comm, StrongDual.extendRCLike_apply, ContinuousLinearMap.closed_range_of_antilipschitz, ConvexOn.rightDeriv_le_slope, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, HasDerivAt.div_const, HasDerivAt.scomp_of_eq, VonNeumannAlgebra.coe_toStarSubalgebra, Matrix.toEuclideanLin_apply_piLp_toLp, 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, TensorialAt.mkHom₂_apply, ContinuousAlternatingMap.curryLeft_add, NumberField.AdeleRing.algebraMap_fst_apply, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', Seminorm.smul_ball_preimage, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, VectorFourier.fourierPowSMulRight_apply, summable_prod_eisSummand, OrthonormalBasis.norm_dual, mdifferentiable_jacobiTheta, DifferentiableOn.sin, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, ContinuousAlternatingMap.prodLIE_apply, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, RCLike.ofReal_tsum, Real.deriv_cos', isBigO_deriv_rpow_const_atTop, hasDerivAt_pow, contDiff_succ_iff_deriv, DifferentiableOn.dist, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, Complex.instProperSpace, Real.deriv_rpow_const', CPolynomialOn.fderiv, StrictConcaveOn.lt_slope_of_hasDerivWithinAt, ftaylorSeries_zero, max_norm_root_eq_spectralValue, DifferentiableOn.ccosh, integrableOn_mul_sum_Icc, EuclideanSpace.dist_eq, NumberField.mixedEmbedding.normAtPlace_negAt, PadicInt.mahlerEquiv_apply, Complex.nndist_conj_conj, Polynomial.div_tendsto_atTop_zero_of_degree_lt, SchwartzMap.convolution_flip, Orthonormal.orthogonalFamily, Real.differentiableAt_arcosh, HasDerivWithinAt.isLittleO, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, contDiffOn_succ_iff_derivWithin, IsLocalMaxOn.fderivWithin_eq_zero, AlternatingMap.measure_def, MeasureTheory.Integrable.of_mem_Icc, 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, EisensteinSeries.G2_eq_tsum_cexp, 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, AddCircle.norm_le_half_period, Circle.normSq_coe, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, Complex.hasDerivAt_Gamma_one, TemperedDistribution.fourierMultiplierCLM_sum, ContMDiffCovariantDerivativeOn.contMDiff, Orientation.areaForm_map_complex, NumberField.mixedEmbedding.normAtPlace_smul, PeriodPair.hasSum_weierstrassPExcept, DifferentiableOn.rpow_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, ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, Int.nnnorm_natCast, Real.hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, NumberField.mixedEmbedding.finrank, ContinuousLinearMap.star_eq_adjoint, SchwartzMap.integral_fourier_smul_eq, UnconditionalSchauderBasis.bddAbove_range_nnnorm_proj, Real.iter_deriv_rpow_const, AffineMap.differentiableOn, Complex.imCLM_nnnorm, FormalMultilinearSeries.comp_rightInv, ContinuousMultilinearMap.curryLeft_apply, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, EisensteinSeries.qExpansion_identity, 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, Orientation.inner_rightAngleRotation_right, Bornology.IsVonNBounded.closure, UpperHalfPlane.contMDiffAt_ofComplex, continuousOn_cfcₙ_setProd, Meromorphic.fun_prod, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, Differentiable.div_const, fderiv_sqrt, ModularForm.prod_fintype_slash, GaussianFourier.integral_cexp_neg_sum_mul_add, ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_pow, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, Asymptotics.isThetaTVS_comm, hasStrictDerivAt_inv, RCLike.wInner_one_const_left, circleIntegrable_sub_inv_iff, AlternatingMap.mkContinuousLinear_norm_le, ModularFormClass.bounded_at_infty_comp_ofComplex, ProperCone.hyperplane_separation_of_notMem, HasStrictDerivAt.ccosh, ProbabilityTheory.HasSubgaussianMGF.memLp, NumberField.mixedEmbedding.convexBodySum_isBounded, LinearMap.continuous_of_isClosed_ker, ContinuousOn.const_cpow, fderiv_clm_apply, Complex.sameRay_iff_arg_div_eq_zero, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Complex.arg_eq_nhds_of_im_pos, ModularForm.holo', FormalMultilinearSeries.radius_le_radius_derivSeries, Orientation.volumeForm_apply_le, ContinuousAlternatingMap.curryLeftLI_apply, Complex.tendsto_one_add_pow_exp_of_tendsto, LDL.diag_eq_lowerInv_conj, eventuallyConst_iff_analyticOrderAt_sub_eq_top, NumberField.mixedEmbedding.polarSpaceCoord_apply, Real.nonempty_algEquiv_or, HasDerivAt.iterate, tsum_eisSummand_eq_tsum_sigma_mul_cexp_pow, Padic.coe_withValRingEquiv_symm, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, Complex.starConvex_slitPlane, MeasureTheory.lintegral_enorm_le_liminf_of_tendsto, ContDiffOn.div_const, ContinuousLinearMap.norm_compSL_le, Matrix.IsHermitian.eigenvalues_mem_spectrum_real, TestFunction.monoCLM_apply, MeromorphicAt.zpow, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, RCLike.nnnorm_nnqsmul, ContDiffMapSupportedIn.withSeminorms, ContMDiffFiberwiseLinear.locality_aux₁, ProbabilityTheory.Kernel.eLpNorm_density_le, MeasureTheory.withDensityᵥ_smul, LinearMap.polar_isClosed, NumberField.mixedEmbedding.negAt_apply_norm_isReal, Bornology.isVonNBounded_vadd, SchauderBasis.enorm_proj_le_enormProjBound, innerₛₗ_apply, deriv_inner_apply, HasFDerivWithinAt.isBigOTVS_sub, Complex.log_sub_logTaylor_isBigO, differentiable_completedZeta₀, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, Filter.Tendsto.cexp, ContMDiffMap.smul_comp', hasStrictFDerivAt_list_prod, fourier_zero', HurwitzZeta.hasSum_int_sinZeta, spectrum.resolvent_tendsto_cobounded, Complex.differentiable_sinh, Seminorm.absorbent_closedBall, Summable.hasProdLocallyUniformlyOn_nat_one_add, InnerProductSpace.isIdempotentElem_rankOne_self_iff, HasDerivAt.tendsto_slope_zero, fderivWithin_continuousLinearEquiv_comp, ContinuousMultilinearMap.toUniformOnFun_toFun, HasDerivAtFilter.hasFDerivAtFilter, UnitAddCircle.mem_addWellApproximable_iff, ZMod.toCircle_intCast, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, div_le_egauge_ball, hasDerivAtFilter_pi, 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, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, ZMod.toCircle_natCast, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, ModularFormClass.hasSum_qExpansion_of_norm_lt, DifferentiableWithinAt.fun_finset_prod, analyticAt_finprod, ContMDiffAt.mfderiv, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, Complex.volume_ball, Real.deriv_fourierChar, OrthonormalBasis.sum_repr, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, cpow_eq_nhds', Bornology.isVonNBounded_insert, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, Continuous.clm_bundle_apply₂, algNormFromConst_def, instSMulCommClass_closedBall_closedBall_ball, jacobiTheta_eq_tsum_nat, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, Asymptotics.IsLittleOTVS.mono, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, Complex.UnitDisc.instSMulCommClass_circle_closedBall, Complex.differentiable_iteratedDeriv_sinh, FormalMultilinearSeries.changeOrigin_eval, LSeries.term_sum_apply, LinearMap.toSeminorm_ball_zero, Complex.nnnorm_intCast, Real.differentiableAt_negMulLog, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, DifferentiableAt.cexp, ContDiffAt.cexp, UpperHalfPlane.contMDiffAt_iff, iter_deriv_inv_linear_sub, MeromorphicOn.pow, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Orientation.inner_rightAngleRotationAux₁_left, Asymptotics.IsThetaTVS.trans_isLittleOTVS, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, Complex.nhdsWithin_stolzCone_le_nhdsWithin_stolzSet, IsSelfAdjoint.adjoint_conj, Asymptotics.IsBigOTVS.trans_isThetaTVS, Complex.taylorSeries_eq_on_eball', closedAbsConvexHull_eq_closure_absConvexHull, exists_embedding_euclidean_of_compact, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, Complex.differentiableAt_sinh, HasDerivAt.inner, MeasureTheory.Integrable.fintype_prod, 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, Orientation.areaForm_apply_self, ModularForm.slash_def, Complex.continuous_tan, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, LeftInvariantDerivation.toDerivation_injective, PeriodPair.differentiableOn_weierstrassPExcept, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, StrictConvexOn.slope_lt_of_hasDerivWithinAt, Meromorphic.finprod, AlternatingMap.mkContinuousAlternating_norm_le_max, MeasureTheory.Integrable.real_toNNReal, Complex.analyticOnNhd_iff_differentiableOn, ProbabilityTheory.hasFiniteIntegral_compProd_iff, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, Complex.conjCLE_norm, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, SchwartzMap.seminorm_apply, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', ProbabilityTheory.variance_linearMap_gaussianReal, HasStrictDerivAt.hasDerivAt, MeasureTheory.Lp.toTemperedDistribution_toLp_eq, Asymptotics.IsLittleOTVS.trans, Complex.differentiableAt_log, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, MeasureTheory.SignedMeasure.integrable_rnDeriv, differentiableAt_completedZeta, ConvexOn.monotoneOn_derivWithin, AffineSubspace.signedInfDist_def, isScalarTower_sphere_ball_ball, PeriodPair.derivWeierstrassPExcept_add_coe, NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply, HasFPowerSeriesWithinAt.add, ConcaveOn.slope_le_rightDeriv, 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, ProbabilityTheory.integrable_exp_mul_of_le, hasFDerivAt_integral_of_dominated_of_fderiv_le'', rootsOfUnityCircleEquiv_apply, ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, CuspFormClass.zero_at_infty_slash, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, hasStrictDerivAt_exp_zero_of_radius_pos, differentiableAt_conj_conj_iff, HasStrictFDerivAt.continuousAlternatingMap_apply_const, NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, MeasureTheory.convolution_mul_swap, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, MeasureTheory.convolution_mono_right, UnitAddTorus.span_mFourier_closure_eq_top, signedDist_lineMap_right, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, ProbabilityTheory.integral_id_multivariateGaussian', MeromorphicAt.div, MeasureTheory.withDensityᵥ_smul', AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, differentiableAt_iff_restrictScalars, Complex.imCLM_enorm, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, hasDerivAtFilter_const, SchwartzMap.tsupport_derivCLM_subset, ContinuousAffineMap.fst_decompLinearIsometryEquiv, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, det_rotation, EisensteinSeries.tendsto_tsum_one_div_linear_sub_succ_eq, RCLike.enorm_conj, PadicInt.norm_mahler_eq, UpperHalfPlane.mdifferentiable_coe, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, Circle.coe_inj, Complex.hasProd_of_hasSum_log, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, SchwartzMap.le_seminorm', Complex.arg_eq_nhds_of_re_pos, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, ContinuousOn.inner, StrongDual.im_extendRCLike_apply, complexOfReal_fderiv, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, summable_cotTerm, RCLike.conjAe_coe, fderivWithin_mul_const, continuousAt_jacobiTheta₂', Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, NormedSpace.algebraMap_exp_comm_of_mem_ball, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, BoundedContinuousFunction.norm_normComp, AlternatingMap.measure_parallelepiped, Manifold.IsImmersionOfComplement.id, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, RCLike.wInner_one_eq_sum, derivWithin_finset_prod, UnconditionalSchauderBasis.nnnorm_proj_le_nnnormProjBound, derivWithin_div, ContDiffOn.inv, ContinuousAlternatingMap.nnnorm_ofSubsingleton, norm_cfcHom, PeriodPair.weierstrassPExceptSeries_hasSum, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, KuratowskiEmbedding.embeddingOfSubset_dist_le, EisensteinSeries.eisSummand_extension_differentiableOn, EuclideanSpace.dist_sq_eq, integral_ofReal, HasFiniteFPowerSeriesOnBall.fderiv', 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, AnalyticAt.aeval_mvPolynomial, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, Polynomial.differentiableWithinAt_aeval, intervalIntegral.intervalIntegrable_cpow', Complex.deriv_sin, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, 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, UnitAddTorus.hasSum_mFourier_series_apply_of_summable, MeasureTheory.integrable_right_of_integrable_add_of_nonneg, WeakDual.CharacterSpace.equivAlgHom_coe, Valued.toNormedField.setOf_mem_integer_eq_closedBall, AddCircle.norm_eq, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, fourier_coe_apply', le_egauge_ball_one, TestFunction.instLineDerivSMulTopENat, EuclideanSpace.inner_toLp_toLp, NumberField.mixedEmbedding.polarSpaceCoord_source, TemperedDistribution.lineDerivOp_fourierInv_eq, not_integrableOn_Ici_inv, Complex.hasSum_taylorSeries_log, fourierCoeffOn_eq_integral, Differentiable.clog, Matrix.l2_opNNNorm_diagonal, Int.toNat_add_toNat_neg_eq_nnnorm, 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, Complex.circleTransformDeriv_bound, hasStrictDerivAt_zero, PeriodPair.hasSum_sumInvPow, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, Real.differentiableAt_sinh, ContinuousAlternatingMap.alternatizeUncurryFin_add, DirichletCharacter.LFunctionTrivChar_residue_one, Complex.hasDerivAt_tan, ContinuousLinearMap.isBigOTVS_fun_comp, NormedField.denselyOrdered_range_nnnorm, signedDist_eq_dist_iff_vsub_mem_span, Real.differentiable_iteratedDeriv_sinh, 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, exp_neg_integrableOn_Ioi, PadicInt.continuousAddCharEquiv_symm_apply, RCLike.geometric_hahn_banach_of_nonempty_interior, MeasureTheory.Integrable.const_inner, hasStrictDerivAt_exp_smul_const_of_mem_ball', rotation_symm, LSeriesHasSum.sum, ContinuousLinearMap.extendTo𝕜'_apply, TestFunction.fderivCLM_apply, continuous_descPochhammer_eval, fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, MeromorphicAt.inv, deriv_pos_left_of_sign_deriv, Complex.equivRealProdCLM_symm_apply_im, AddChar.linearIndependent, integrable_exp_neg_mul_sq_iff, Complex.polarCoord_symm_apply, nndist_homothety_center, AnalyticOnNhd.is_constant_or_isOpen, FormalMultilinearSeries.changeOriginSeries_finite_of_finite, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, UnitAddTorus.mFourier_single, Real.hasFDerivAt_fourierChar_neg_bilinear_right, NumberField.InfiniteAdeleRing.norm_def, DifferentiableWithinAt.cexp, summable_bernoulli_fourier, RCLike.re_extendTo𝕜ₗ, ModularFormClass.differentiableOn_cuspFunction_ball, Unitization.splitMul_injective, ProbabilityTheory.IndepFun.integrable_exp_mul_add, MeromorphicOn.fun_inv, Antitone.deriv_nonpos, ZMod.differentiable_completedLFunction₀, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContDiffMapSupportedIn.continuous_iff_comp, PeriodPair.periodic_weierstrassP, differentiable_tsum', MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral, ModularFormClass.holo, Meromorphic.inv, Seminorm.uniformContinuous', VectorFourier.norm_fourierSMulRight, 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, deriv_fun_pow, EisensteinSeries.summable_e2Summand_symmetricIco, ContinuousLinearMap.nnnorm_id, fderivWithin_continuousAlternatingMap_apply, GaussianFourier.integrable_cexp_neg_sum_mul_add, HasDerivAt.fun_inv, cfc_setIntegral', ProbabilityTheory.integrable_pow_mul_exp_of_mem_interior_integrableExpSet, iteratedDerivWithin_comp_eq_sum_orderedFinpartition, DifferentiableAt.div_const, differentiableOn_abs, absConvexHull_eq_convexHull_balancedHull, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, Complex.hasSum_sinh, hom_chart, HasDerivWithinAt.continuousOn, cfcₙ_setIntegral', div_le_egauge_closedBall, NumberField.mixedEmbedding.polarCoord_target_eq_polarCoordReal_target, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, ProbabilityTheory.integrable_toReal_condDistrib, Circle.arg_exp, hasFDerivAt_exp_smul_const_of_mem_ball', WithSeminorms.partial_sups, hasDerivAt_mul_const, HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, HasStrictDerivAt.add_const, MeasureTheory.integrable_toReal_iff, MeromorphicAt.eventuallyEq_nhdsNE_of_eventuallyEq_codiscreteWithin, DifferentiableOn.clog, derivWithin_id, ContinuousOn.cpow, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zero, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, exists_deriv_eq_slope, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, hasStrictFDerivAt_exp_smul_const, LinearMap.dualEmbedding_injective_of_separatingRight, Homeomorph.contDiff_symm_deriv, Complex.continuousOn_sqrt, integrableOn_rpow_mul_exp_neg_mul_sq, 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, IsUltrametricDist.isNonarchimedean_algNormOfAlgEquiv, WeakDual.isSeqCompact_of_isBounded_of_isClosed, UpperHalfPlane.dist_le_iff_le_sinh, RCLike.wInner_cWeight_const_right, TemperedDistribution.smulLeftCLM_sum, mahler_apply, SimpleGraph.isEquivalent_extremalNumber, MeasureTheory.integrable_norm_rpow_of_le, Real.nnnorm_rpow_of_nonneg, NumberField.InfinitePlace.Completion.WithAbs.ratCast_equiv, HasStrictFDerivAt.mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_fderiv_expMapBasis, iter_deriv_inv_linear, EisensteinSeries.summable_right_one_div_linear_sub_one_div_linear_succ, HurwitzZeta.differentiableAt_cosZeta, ProbabilityTheory.deriv_cgf_zero, Asymptotics.IsBigOTVS.neg_left, DifferentiableOn.exp, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, MeromorphicAt.fun_zpow, Complex.IsConservativeOn.isExactOn_ball, Summable.hasProdUniformlyOn_one_add, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, ContDiffOn.continuousOn_deriv_of_isOpen, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, HasDerivWithinAt.cpow_const, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, DifferentiableAt.norm, 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, MeasureTheory.integrable_left_of_integrable_add_of_nonneg, IsUltrametricDist.isPowMul_algNormOfAlgEquiv, DifferentiableOn.fun_div, ContMDiff.clm_comp, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, fderiv_norm_smul_pos, gelfandTransform_isometry, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, FormalMultilinearSeries.le_radius_pi, Quaternion.coe_ofComplex, Real.hasDerivAt_arctan, UpperHalfPlane.σ_conj, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_expMap_symm, continuousMultilinearCurryLeftEquiv_symm_apply, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, Finset.nnnorm_prod_le, UnitAddTorus.mFourierCoeff_eq_integral, hasDerivAt_exp_smul_const', DoubleCentralizer.instStarModule, WeakDual.CharacterSpace.compContinuousMap_comp, HasStrictDerivAt.finset_prod, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, 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, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, 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, MeasureTheory.HasFiniteIntegral.min_zero, mellin_differentiableAt_of_isBigO_rpow, Asymptotics.IsLittleOTVS.congr_right, IsLocalMinOn.fderivWithin_nonneg, ContinuousAt.clog, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, Complex.reCLM_norm, iteratedFDeriv_succ_eq_comp_left, range_modelWithCornersEuclideanHalfSpace, ContinuousMapZero.toNNReal_neg_smul, ProbabilityTheory.integrable_pow_abs_mul_exp_add_of_integrable_exp_mul, UpperHalfPlane.dist_coe_center_sq, AddChar.wInner_cWeight_eq_boole, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, MeromorphicOn.AnalyticOnNhd.divisor_apply, differentiableAt_of_deriv_ne_zero, MeasureTheory.exists_upperSemicontinuous_le_integral_le, ContDiffMapSupportedIn.fderivLM_apply_of_gt, EuclideanSpace.restrict₂_apply, HasDerivAt.hasDerivAtFilter, ZMod.LFunction_residue_one, contMDiffOn_coordChangeL, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, DiffContOnCl.ball_subset_image_closedBall, NumberField.mixedEmbedding.convexBodySum_convex, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, PeriodPair.mul_ω₁_add_mul_ω₂_mem_lattice, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, RCLike.iInter_halfSpaces_eq', Circle.coe_exp, convex_halfSpace_im_le, ClosedSubmodule.orthogonal_closure, riemannZeta_eulerProduct_tprod, LinearMap.toSeminormFamily_apply, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, cpow_eq_nhds, ContDiffMapSupportedIn.structureMapCLM_zero_injective, MeasureTheory.integrable_llr_tilted_left, sum_mul_eq_sub_integral_mul, TemperedDistribution.fourier_apply, RCLike.iInter_halfSpaces_eq, StrongDual.polar_zero, deriv_sin, ContinuousMultilinearMap.piₗᵢ_apply, nnnorm_cfcHom, Module.Basis.opNNNorm_le, Orientation.areaForm_rightAngleRotation_right, ContMDiffWithinAt.clm_precomp, 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, IsLocalMin.fderiv_eq_zero, norm_iteratedFDerivWithin_fderivWithin, HasDerivAtFilter.comp, ContinuousLinearMap.coe_complexOfReal, MeasureTheory.Integrable.fourier_smul, LinearMap.coe_toContinuousLinearMap_symm, HasFDerivWithinAt.finset_prod, Complex.frontier_setOf_le_re_and_im_le, Real.differentiableAt_qaryEntropy, continuousMultilinearCurryFin1_symm_apply, HasStrictDerivAt.fun_add, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, Complex.continuousAt_Gamma, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, DifferentiableAt.exp, Affine.Simplex.exists_forall_signedInfDist_eq_iff_excenterExists_and_eq_excenter, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, Complex.integral_boundary_rect_of_differentiableOn_real, PadicInt.mahlerEquiv_symm_apply, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, Asymptotics.IsEquivalent.listProd, MeromorphicOn.mul, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, Complex.differentiable_iteratedDeriv_cos, ContinuousLinearEquiv.coord_self, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, Real.differentiable_arsinh, UniformOnFun.continuousSMul_submodule_of_image_bounded, 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, Manifold.IsImmersionOfComplement.of_opens, HasDerivWithinAt.continuousWithinAt, Orientation.oangle_map_complex, integrable_exp_neg_mul_sq, ContinuousLinearEquiv.coord_norm, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, AddChar.coe_complexBasis, ContDiffOn.smulRight, Polynomial.toAddCircle_X_eq_fourier_one, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, Complex.differentiable_cos, HasStrictDerivAt.cos, PadicInt.continuousAddCharEquiv_apply, ContinuousMultilinearMap.cpolynomialAt_uncurry_compContinuousLinearMap, ProbabilityTheory.integrable_rpow_of_integrable_exp_mul, 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, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, CircleIntegrable.out, ContMDiff.clm_precomp, AddCircle.closedBall_ae_eq_ball, UniformSpace.Completion.continuous_inner, contDiffOn_infty_iff_deriv_of_isOpen, SchwartzMap.integrable_pow_mul, fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, MeasureTheory.memLp_of_bounded, ContinuousMultilinearMap.norm_smulRight, LSeries_hasDerivAt, PadicInt.denseRange_intCast, instSMulCommClass_sphere_closedBall_ball, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, LeftInvariantDerivation.commutator_apply, UpperHalfPlane.mdifferentiableAt_iff, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContMDiffOn.clm_prodMap, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, StrictMonoOn.exists_slope_lt_deriv, fourierCoeffOn_of_hasDerivAt, NormedField.noncompactSpace, ContinuousLinearMap.hasDerivWithinAt, MeasureTheory.Submartingale.memLp_limitProcess, UpperHalfPlane.IsZeroAtImInfty.slash, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, FormalMultilinearSeries.derivSeries_apply_diag, ContMDiffWithinAt.clm_comp, NormedSpace.polar_closedBall, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, Seminorm.coe_iSup_eq, AnalyticAt.fderiv, PadicComplex.nnnorm_extends', HasDerivAt.conj_conj, AnalyticOn.eval_polynomial, Matrix.l2_opNNNorm_conjTranspose_mul_self, ContinuousMapZero.toNNReal_smul, fderiv_comp_smul, integrable_mulExpNegMulSq_comp, iteratedFDeriv_clm_apply_const_apply, integrable_cexp_quadratic, AffineSubspace.signedInfDist_apply_self, Asymptotics.IsLittleOTVS.add, Complex.image_exp_Ioc_eq_sphere, ContinuousLinearMap.opNorm_lsmul, IsOpen.isOpen_inter_preimage_of_deriv_eq_zero, deriv_pos_right_of_sign_deriv, coe_innerₛₗ_apply, isCoveringMapOn_zpow, ProbabilityTheory.covarianceBilinDual_of_not_memLp, FormalMultilinearSeries.norm_changeOriginSeriesTerm, HurwitzZeta.completedHurwitzZetaEven_residue_zero, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, fderivWithin_arctan, TemperedDistribution.smulLeftCLM_smul, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, ContinuousWithinAt.inner, Module.Basis.continuous_coe_repr, Unitization.uniformity_eq_aux, isScalarTower_closedBall_closedBall_ball, StrictMonoOn.exists_deriv_lt_slope, HasGradientAt.hasDerivAt, UpperHalfPlane.denom_cocycle', ModularGroup.lcRow0_apply, 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, MeasureTheory.integrable_withDensity_iff, InnerProductSpace.continuousLinearMapOfBilin_apply, Circle.toUnits_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, HasCompactSupport.deriv, NormedSpace.double_dual_bound, instFieldContMDiffRing, HasDerivAt.comp_ringHom, NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, spectralAlgNorm_isPowMul, PointwiseConvergenceCLM.withSeminorms, PeriodPair.indep, UpperHalfPlane.tanh_half_dist, MeasureTheory.convolution_eq_swap, Module.Basis.opNorm_le, MeromorphicOn.fun_prod, ContMDiff.codRestrict_sphere, Real.differentiable_rpow_const, ProbabilityTheory.integrable_exp_mul_of_mem_Icc, 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, SchwartzMap.smulLeftCLM_apply, MeasureTheory.Integrable.norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, ContDiffMapSupportedIn.withSeminorms', MeromorphicOn.finsum, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, DFinsupp.inner_sum, SchwartzMap.tsum_eq_tsum_fourierIntegral, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, fderiv_csin, Polynomial.mul_star_dvd_of_aeval_eq_zero_im_ne_zero, ContinuousAt.const_cpow, AddCircle.norm_eq', MeromorphicOn.divisor_def, WithSeminorms.continuous_iff_continuous_comp, ProbabilityTheory.integrable_pow_of_integrable_exp_mul, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, inner_matrix_row_row, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, Quaternion.linearIsometryEquivTuple_apply, MeasureTheory.intervalIntegrable_charFun, ContinuousMap.idealOf_compl_singleton_isMaximal, Complex.arg_eq_nhds_of_re_neg_of_im_neg, fderiv_cosh, PiTensorProduct.injectiveSeminorm_tprod_le, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, HasStrictFDerivAt.fun_mul, Complex.hasSum_arctan, ContinuousLinearMap.norm_holderL_le, fourier_add, NormedSpace.exp_add_of_mem_ball, hasFDerivWithinAt_pow, gaugeSeminorm_lt_one_of_isOpen, Asymptotics.IsLittleOTVS.fun_add, PolynormableSpace.withSeminorms, contDiff_infty_iff_fderiv, MeasureTheory.charFun_eq_integral_innerProbChar, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, NormedField.valuation_apply, LinearMap.polar_mem_iff, hasFDerivWithinAt_iff_isLittleOTVS, hasDerivWithinAt_inv, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, Asymptotics.isBigOTVS_prodMk_left, gaugeSeminormFamily_ball, hasStrictDerivAt_id, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, instNonemptySeedRatReal, UpperHalfPlane.σ_eventuallyEq, hasProdUniformlyOn_of_clog, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, HasGradientAt.fderiv_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, Differentiable.rpow_const, TemperedDistribution.derivCLM_apply_apply, Complex.hasDerivAt_exp, HurwitzZeta.hasSum_int_completedCosZeta, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, integral_re, Complex.hasSum_cosh, RCLike.tendsto_ofReal_atBot_cobounded, LeftInvariantDerivation.ext_iff, abs_signedDist_le_dist, Complex.frontier_setOf_lt_re, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, mfderiv_subtype_coe_Icc_one, Complex.taylorSeries_eq_of_entire', HasFDerivAt.cpow, Complex.conj_tsum, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, Real.hasStrictFDerivAt_rpow_of_neg, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, Real.hasStrictDerivAt_rpow_const, IsCovariantDerivativeOn.affine_combination, VectorField.lieBracket_smul_right, UpperHalfPlane.σ_mul_comm, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, intervalIntegral.integral_hasFDerivAt, PeriodPair.summable_weierstrassPExceptSummand, MeasureTheory.memLp_norm_iff, HasFiniteFPowerSeriesOnBall.fderiv_eq, ModularForm.coe_trace, integrable_mul_cexp_neg_mul_sq, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, ProbabilityTheory.HasCondSubgaussianMGF.integrable_exp_mul, 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, DifferentiableAt.arctan, InnerProductSpace.HarmonicOnNhd.exists_analyticOnNhd_ball_re_eq, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, ContinuousWithinAt.clog, intervalIntegral.integral_unitInterval_deriv_eq_sub, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, Complex.isOpenMap_exp, Asymptotics.IsEquivalent.rpow, ConvexOn.exists_affine_le_of_lt, ProbabilityTheory.IsGaussian.charFunDual_eq', HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, HasDerivWithinAt.comp_hasDerivAt, WithSeminorms.hasBasis, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, AddChar.complexBasis_apply, isBoundedLinearMap_continuousMultilinearMap_comp_linear, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, RealRMK.le_rieszMeasure_tsupport_subset, innerSL_apply_coe, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, AffineSubspace.signedInfDist_apply_of_mem, hasDerivAt_exp_of_mem_ball, AnalyticAt.map_nhdsNE, hasStrictDerivAt_exp_smul_const_of_mem_ball, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, 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, HasStrictFDerivAt.inner, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, hasDerivAt_pi, nndist_right_midpoint, HasStrictDerivAt.hasStrictFDerivAt_equiv, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, differentiableAt_abs, HasDerivAt.of_notMem_tsupport, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, derivWithin_fun_inv', ConvexOn.real_sSup_of_nat_affine_eq, Meromorphic.fun_div, dist_algebraMap', Meromorphic.fun_pow, hasFDerivAt_inv', MeasureTheory.dominatedFinMeasAdditive_weightedSMul, ProbabilityTheory.IsRatCondKernelCDF.integrable, tendsto_euler_sin_prod', HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, hasDerivWithinAt_finCons, ProbabilityTheory.charFun_gaussianReal, HasDerivAt.const_cpow, WeakDual.CharacterSpace.exists_apply_eq_zero, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, derivWithin_sinh, exists_continuousLinearEquiv_fderiv_symm_eq, Complex.polarCoord_target, RCLike.conj_smul, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, Seminorm.absorbent_ball, Real.not_continuousAt_deriv_qaryEntropy_one, differentiableAt_dslope_of_ne, DifferentiableOn.norm, 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, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, isClosedMap_smul_left, Asymptotics.IsBigOTVS.mono, ProbabilityTheory.integrable_cauchyPDFReal, 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, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, HurwitzZeta.hasSum_int_completedSinZeta, RCLike.instTietzeExtension, Matrix.IsHermitian.mulVec_eigenvectorBasis, MeasureTheory.MemLp.integrable_norm_pow', HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', zeta_nat_eq_tsum_of_gt_one, Matrix.l2_opNorm_def, Asymptotics.IsBigOTVS.trans, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', UpperHalfPlane.tendsto_comap_im_ofComplex, Circle.coe_zpow, signedDist_apply_linear, Real.differentiableAt_sin, HasFiniteFPowerSeriesOnBall.sub, RCLike.wInner_nonneg, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Bornology.isVonNBounded_singleton, Matrix.toEuclideanLin_toLp, Bundle.RiemannianMetric.continuousAt, StrictConcaveOn.leftDeriv_lt_slope, IsKrasner.of_completeSpace, ContinuousLinearMapWOT.continuous_dual_apply, integral_re_add_im, HasStrictDerivAt.neg, parallelepiped_orthonormalBasis_one_dim, 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, AddChar.expect_apply_eq_ite, LeftInvariantDerivation.toFun_eq_coe, Complex.reCLM_enorm, MeasureTheory.integrable_mconv_iff, 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, Real.deriv_log_comp_eq_logDeriv, 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, MeasureTheory.eLpNorm'_norm_rpow, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Padic.instProperSpace, DirichletCharacter.LSeries_eulerProduct, Differentiable.const_cpow, integrable_cexp_quadratic', Complex.hasDerivWithinAt_sqrt, Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.csinh, ContMDiffWithinAt.cle_arrowCongr, ZMod.differentiable_LFunction_of_sum_zero, InformationTheory.not_differentiableAt_klFun_zero, Real.deriv_cosh, PeriodPair.lattice_eq_span_range_basis, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, Real.exists_extension_norm_eq, WeakDual.isClosed_image_coe_of_bounded_of_closed, continuousMultilinearCurryRightEquiv_apply, Seminorm.convex_closedBall, RCLike.real_smul_eq_coe_mul, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, HasDerivAt.comp_add_const, ContinuousWithinAt.cexp, Bornology.isVonNBounded_of_smul_tendsto_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, Complex.frontier_reProdIm, RCLike.ofRealAm_coe, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sin, AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, ContinuousAlternatingMap.prodLIE_symm_apply, E2_mdifferentiable, DifferentiableOn.hasDerivAt, Summable.multipliableUniformlyOn_nat_one_add, DifferentiableWithinAt.sinh, Bornology.sUnion_isVonNBounded_eq_univ, DifferentiableOn.arsinh, contDiffOn_infty_iff_derivWithin, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, Complex.conjCAE_toAlgEquiv, ProbabilityTheory.covarianceBilinDual_of_not_memLp', PadicComplex.nnnorm_extends, PeriodPair.ω₁_mem_lattice, ContDiff.fderiv, SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, Complex.log_inv_eq_integral, OnePoint.isZeroAt_iff, AnalyticOnNhd.eval_continuousLinearMap', UnitAddTorus.span_mFourierLp_closure_eq_top, fderivWithin_comp_smul, ZMod.LFunction_dft, ContDiffOn.cexp, AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, MeasureTheory.Integrable.integral_norm_condKernel, 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, ProbabilityTheory.integrable_gaussianPDFReal, Asymptotics.IsBigOTVS.refl, DifferentiableWithinAt.exp, EuclideanSpace.nndist_single_same, expNegInvGlue.differentiable_polynomial_eval_inv_mul, Complex.differentiableAt_cos, cfcHom_eq_of_isStarNormal, 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, Unitization.continuous_fst, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, DifferentiableWithinAt.rpow, FormalMultilinearSeries.rightInv_coeff_one, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay, hasFDerivAt_exp, Differentiable.rpow, Orientation.volumeForm_comp_linearIsometryEquiv, Pi.orthonormalBasis_repr, fderiv_continuousAlternatingMap_apply_const_apply, RCLike.hasSum_conj', DifferentiableAt.cpow, MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, Complex.frontier_setOf_im_le, differentiableAt_iff_comp_sub_const, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Complex.range_exp_mul_I, LinearMap.polar_mem, complexOfReal_derivWithin, norm_fderiv_norm_id_rpow, ContinuousLinearMap.isBigOTVS_id, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, NumberField.Units.basisOfIsMaxRank_fundSystem, MeromorphicOn.divisor_mul, LinearMap.isAdjointPair_inner, Circle.coe_div, ContinuousLinearMap.norm_holder_apply_apply_le, HasDerivWithinAt.log, DifferentiableOn.csin, upperHemicontinuous_spectrum, NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily, Complex.isUniformEmbedding_equivRealProd, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, WithLp.unitization_nnnorm_def, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, absorbent_ball_zero, Asymptotics.IsBigOTVS.fst, Affine.Simplex.signedInfDist_apply_of_ne, tendsto_nhds_of_meromorphicOrderAt_nonneg, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, IsUltrametricDist.isPowMul_invariantExtension, Circle.coe_one, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, constFormalMultilinearSeries_apply_succ, Polynomial.fourierCoeff_toAddCircle, signedDist_left_lineMap, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, HasStrictFDerivAt.clm_comp, Complex.hasSum_iff, Real.deriv_mul_log_zero, 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, summable_pow_mul_cexp, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, WeakFEPair.Λ_residue_zero, IccRightChart_extend_top, ModularFormClass.hasSum_qExpansion, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, MDifferentiableWithinAt.clm_prodMap, Seminorm.continuous_iff_continuous_comp, ContMDiffAt.clm_comp, BoundedContinuousFunction.char_add_eq_mul, constFormalMultilinearSeries_zero, Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, HasStrictFDerivAt.continuousMultilinearMap_apply, Complex.isOpenMap_re, Asymptotics.IsBigO.isBigOTVS, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, Asymptotics.isLittleOTVS_neg_left, 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, Complex.approx_Gamma_integral_tendsto_Gamma_integral, LinearIsometryEquiv.toContinuousLinearEquiv_smul, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzSet, ContinuousLinearMap.opNNNorm_mul_apply, fderivInnerCLM_apply, AbsoluteValue.isEquiv_iff_isHomeomorph, ContinuousMultilinearMap.curryFinFinset_apply, ContDiffAt.smulRight, NormedField.nhdsWithin_isUnit_neBot, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, MeromorphicAt.fun_inv, nndist_self_homothety, boundary_Icc, FormalMultilinearSeries.changeOriginSeriesTerm_bound, HasDerivWithinAt.sum, deriv_sqrt_mul_log', spectrum.subset_circle_of_unitary, summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexp, spectrum.subset_closedBall_norm, Asymptotics.IsLittleOTVS.of_tendsto_div, LinearIsometry.re_apply_eq_re, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, Asymptotics.isLittleOTVS_sup, Real.differentiableAt_binEntropy_iff_ne_zero_one, 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, SchwartzMap.integrable_pow_mul_iteratedFDeriv, Complex.deriv_exp, Derivative.serreDerivative_mdifferentiable, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, Real.deriv_tan, HasFTaylorSeriesUpToOn.restrictScalars, ConcaveOn.antitoneOn_deriv, isConformalMap_iff_is_complex_or_conj_linear, HasDerivAtFilter.neg, Asymptotics.isEquivalent_of_tendsto_one', ContinuousLinearMap.apply_apply, 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, Real.exists_measure_rpow_eq_integral, summable_jacobiTheta₂'_term_iff, Real.fourierIntegral_continuousMultilinearMap_apply', ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, HasGradientAtFilter.hasDerivAtFilter, instSMulCommClass_sphere_sphere_ball, AlternatingMap.mkContinuousAlternating_apply, IsSymmSndFDerivWithinAt.eq, PiTensorProduct.mapLMultilinear_opNorm, hasDerivWithinAt_inter, AddCircle.norm_eq_of_zero, fderivWithin_restrictScalars_comp, BoundedContinuousFunction.self_eq_nnrealPart_sub_nnrealPart_neg, Convex.instPathConnectedSpace, hasFPowerSeriesAt_iff', RCLike.geometric_hahn_banach_closed_compact, MDifferentiable.prod, 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, ProbabilityTheory.integrable_comp_iff, 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, Matrix.PosDef.posDef_sqrt, WeakFEPair.Λ_residue_k, integrable_cexp_neg_mul_sq, WithSeminorms.hasBasis_ball, Differentiable.cos, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, derivWithin_clm_apply, smooth_functions_tower, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, SchwartzMap.fourierMultiplierCLM_smul, finrank_euclideanSpace_fin, UpperHalfPlane.isOpen_upperHalfPlaneSet, Set.Finite.isVonNBounded, ConcaveOn.le_slope_of_hasDerivAt, Real.hasStrictDerivAt_exp, continuousFunctionalCalculus_map_id, UpperHalfPlane.isEmbedding_coe, fourierCoeffOn_of_hasDeriv_right, HurwitzZeta.differentiable_completedSinZeta, 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, InformationTheory.deriv_klFun, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, boundary_product, HasCompactSupport.convolution_integrand_bound_right, differentiable_sigmoid, 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, NormedField.exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, GromovHausdorff.eq_toGHSpace_iff, OrthonormalBasis.repr_reindex, NumberField.mixedEmbedding.measurable_polarSpaceCoord_symm, HasDerivAt.comp_semilinear, DifferentiableAt.abs_of_pos, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, ConvexOn.real_sSup_affine_eq, Finset.analyticAt_fun_prod, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, HasDerivAt.comp_sub_const, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, QuotientGroup.integral_mul_eq_integral_automorphize_mul, PeriodPair.derivWeierstrassPExcept_def, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, Complex.continuousAt_ofReal_cpow_const, ContMDiffAt.cle_arrowCongr, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, AnalyticOnNhd.eval_continuousLinearMap, circleMap_mem_sphere', ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, Circle.argEquiv_apply_coe, MeasureTheory.memLp_re_im_iff, HasFDerivAt.clm_comp, ContinuousLinearMap.adjoint_innerSL_apply, EisensteinSeries.tsum_symmetricIco_tsum_eq_S_act, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, gaugeSeminorm_toFun, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, continuous_circleMap_inv, UpperHalfPlane.mdifferentiableAt_ofComplex, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_right, Asymptotics.isLittleOTVS_pi, ProbabilityTheory.integral_tilted_mul_self, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, LSeries_eq_mul_integral', integrableOn_Ioi_deriv_norm_ofReal_cpow, ContDiffMapSupportedIn.structureMapLM_apply, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, DifferentiableOn.of_dslope, HasDerivWithinAt.iterate, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, isBoundedLinearMap_prod_multilinear, integrable_of_le_of_pow_mul_le, nndist_homothety_self, DifferentiableAt.abs_of_neg, fderivWithin_fun_mul, Differentiable.div, Orthonormal.inner_sum, Summable.hasSumUniformlyOn_log_one_add, HasCompactSupport.convolution_integrand_bound_right_of_subset, tsupport_deriv_subset, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, HasStrictDerivAt_ofNat, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, 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, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, hasDerivWithinAt_iff_tendsto, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, ContDiffWithinAt.div_const, balancedHull_convexHull_subseteq_absConvexHull, ContDiffAt.hasStrictDerivAt', WeakFEPair.differentiable_Λ₀, cyclotomicCharacter.continuous, RCLike.realLinearIsometryEquiv_apply, TemperedDistribution.laplacianCLM_apply, derivWithin.log, 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, ProbabilityTheory.mgf_pos_iff, mem_contMDiffFiberwiseLinear_iff, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_ne, Matrix.tracePositiveLinearMap_apply, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, Seminorm.continuousAt_zero, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, Complex.im_tsum, hasDerivAt_finCons, Asymptotics.IsThetaTVS.rfl, Orientation.areaForm_rightAngleRotation_left, Differentiable.ccosh, coeFn_fourierLp, Differentiable.norm, Complex.taylorSeries_eq_on_emetric_ball', RCLike.tendsto_ofReal_atTop_cobounded, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, ContinuousLinearMap.opNorm_le_bound₂, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NumberField.mixedEmbedding.disjoint_negAt_plusPart, DifferentiableWithinAt.of_dslope, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.integral_convolution, DifferentiableAt.dist, Complex.UnitDisc.coe_circle_smul, Filter.EventuallyEq.nhdsNE_deriv, contDiff_euclidean, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, RCLike.imCLM_apply, ZMod.stdAddChar_apply, fderiv_sin, DirichletCharacter.continuousOn_neg_logDeriv_LFunctionTrivChar₁, 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, PositiveLinearMap.preGNS_norm_sq, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, AnalyticOnNhd.eqOn_zero_or_eventually_ne_zero_of_preconnected, cfc_setIntegral, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, HurwitzZeta.differentiableAt_expZeta, ContinuousMultilinearMap.isUniformEmbedding_restrictScalars, hasDerivAt_of_tendstoUniformlyOnFilter, Submodule.starProjection_tendsto_closure_iSup, hasFDerivAt_exp_of_mem_ball, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, MeasureTheory.Measure.euclideanHausdorffMeasure_def, 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, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, Asymptotics.IsBigOTVS.pi, HasFDerivAt.isLittleOTVS, HasDerivAt.inv, NumberField.house_eq_sup', 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, Seminorm.smul_le_smul, ContinuousMap.idealOpensGI_choice, HasMFDerivAt.const_smul, Complex.continuous_im, WeakDual.CharacterSpace.instStarHomClass, HasDerivAtFilter.fun_sum, IsCovariantDerivativeOn.finite_affine_combination, contDiff_prod, Int.Matrix.exists_ne_zero_int_vec_norm_le, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Circle.argPartialEquiv_apply, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, MeasureTheory.charFun_eq_integral_probChar, HasStrictDerivAt.ccos, 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, Real.integrableOn_rpowIntegrand₀₁_Ici, Seminorm.sSup_apply, ContinuousMultilinearMap.continuous_restrictScalars, ModularGroup.smul_eq_lcRow0_add, deriv_cosh, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, ApproximatesLinearOn.to_inv, TensorProduct.lidIsometry_symm_apply, 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, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', CStarMatrix.norm_def, ContMDiff.cle_arrowCongr, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, ContMDiffOn.clm_bundle_apply₂, differentiableWithinAt_Ioi_iff_Ici, HurwitzZeta.differentiableAt_sinZeta, ModularForm.multipliableLocallyUniformlyOn_eta, contDiff_succ_iff_hasFDerivAt, dist_lineMap_lineMap, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, integral_im, cfc_integral', DifferentiableAt.csin, balanced_iff_neg_mem, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, NumberField.mixedEmbedding.convexBodyLT'_convex, ProbabilityTheory.charFunDual_stdGaussian, differentiableOn_zpow, fderivWithin_mul, HasDerivWithinAt.fun_inv, instIsManifoldIcc, Bundle.ContinuousRiemannianMetric.isVonNBounded, MeasureTheory.integrable_rnDeriv_mul_log_iff, HasDerivWithinAt.finCons, HasStrictDerivAt.clm_apply, TemperedDistribution.smulLeftCLM_apply_apply, HasDerivAt.congr_deriv, integrableAtFilter_rpow_atTop_iff, summable_jacobiTheta₂_term_iff, HasDerivAt.tendsto_slope_zero_right, deriv_sqrt, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, nndist_lineMap_left, Finset.analyticOnNhd_fun_prod, hasSum_mellin_pi_mul_sq, Complex.continuousOn_one_add_mul_inv, WithSeminorms.hasBasis_zero_ball, Orientation.inner_mul_areaForm_sub, fderiv_inner_apply, contDiff_one_iff_deriv, ContinuousLinearMap.hasDerivAt_of_bilinear, inner_matrix_col_col, MDifferentiableWithinAt.prod, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, HasFDerivAt.comp_hasDerivAt_of_eq, ContMDiff.coordChangeL, deriv2_sqrt_mul_log, Finset.analyticOn_prod, Real.hasStrictDerivAt_log_of_pos, HasFDerivWithinAt.fun_mul, contMDiffOn_projIcc, 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, MeasureTheory.pdf.hasFiniteIntegral_mul, AnalyticAt.hasStrictDerivAt, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, Asymptotics.IsThetaTVS.refl, parallelepiped_single, differentiableAt_iteratedDerivWithin_cexp, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, SchwartzMap.norm_pow_mul_le_seminorm, contMDiff_circleExp, pi_mul_cot_pi_q_exp, contDiffWithinAt_succ_iff_hasFDerivWithinAt, Filter.EventuallyEq.hasDerivWithinAt_iff, HasDerivWithinAt.limsup_slope_le, Quaternion.nnnorm_coe, BoundedContinuousFunction.probCharDual_apply, PeriodPair.weierstrassPExcept_add, DifferentiableWithinAt.cos, Real.deriv2_negMulLog, Complex.multipliable_one_add_of_summable, SeminormFamily.basisSets_smul_left, InnerProductSpace.norm_rankOne, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Urysohns.CU.lim_eq_midpoint, Complex.hasDerivAt_Gamma_nat, MeasureTheory.Measure.integrable_pow_neg_integrablePower, HasFDerivAt.const_cpow, hasFDerivAt_integral_of_dominated_loc_of_lip, IsClosed.reProdIm, PiTensorProduct.mapLMultilinear_toFun_apply, VectorField.mlieBracket_smul_right, CStarMatrix.inner_toCLM_conjTranspose_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, quasispectrum.instCompactSpace, fderiv_eq_smul_deriv, integrableOn_rpow_mul_exp_neg_mul_rpow, CStarMatrix.toCLM_apply_single_apply, MeasureTheory.Measure.integrable_toReal_rnDeriv, BoundedContinuousFunction.char_apply, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, Real.isEquivalent_sinh, LinearMap.ker_toContinuousLinearMap, Int.Matrix.exists_ne_zero_int_vec_norm_le', intervalIntegral.differentiableOn_integral_of_continuous, hasStrictFDerivAt_exp_smul_const_of_mem_ball, Complex.tendsto_exp_comap_re_atBot_nhdsNE, differentiable_circleMap, UpperHalfPlane.mdifferentiable_smul, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, Complex.conjCAE_toLinearMap, ModularForm.slash_apply, HurwitzZeta.tendsto_hurwitzZetaEven_sub_one_div_nhds_one, integrableOn_exp_mul_complex_Ioi, NormedSpace.exp_add, Seminorm.uniformity_eq_of_hasBasis, MeasureTheory.Integrable.im, contMDiffOn_iff_localFrame_coeff, Complex.isClosed_range_intCast, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, WithSeminorms.finset_sups, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, hasDerivWithinAt_sub_const_iff, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, HasDerivAt.cpow_const, HurwitzZeta.differentiable_completedCosZeta₀, ContinuousWithinAt.const_cpow, ProbabilityTheory.integrable_stieltjesOfMeasurableRat, Complex.restrictScalars_toSpanSingleton', Real.differentiableAt_negMulLog_iff, HasFDerivAt.continuousMultilinearMap_apply, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, fderiv_inv', ContinuousLinearMapWOT.ext_inner_iff, BoundedContinuousFunction.integrable_of_nnreal, Complex.differentiable_iteratedDeriv_cosh, cfcₙ_integral', ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, Complex.closedEmbedding_intCast, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, HurwitzZeta.hurwitzZetaEven_residue_one, IsLocalMinOn.fderivWithin_eq_zero, HasStrictDerivAt.star, tendsto_zero_geometric_tsum_pnat, RCLike.geometric_hahn_banach_open_point, Real.deriv2_mul_log, FormalMultilinearSeries.comp_assoc, HasFPowerSeriesWithinAt.comp, Complex.reCLM_apply, Real.hasDerivAt_negMulLog, continuousAt_dslope_of_ne, Complex.closure_setOf_im_lt, NumberField.mixedEmbedding.lintegral_comp_polarSpaceCoord_symm, Orientation.abs_volumeForm_apply_le, PeriodPair.differentiableOn_derivWeierstrassPExcept, continuousMultilinearCurryFin1_apply, Complex.conjLIE_symm, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding', StrictConvexOn.slope_lt_of_hasDerivAt, UpperHalfPlane.petersson_slash, deriv_id', hasStrictFDerivAt_euclidean, EisensteinSeries.tsum_symmetricIco_tsum_sub_eq, hasFDerivAt_finset_prod, fourierCoeff_fourier, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, Affine.Simplex.signedInfDist_incenter, HilbertBasis.finite_spans_dense, toMeromorphicNFOn_eqOn_codiscrete, HasStrictDerivAt.fun_pow, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet, norm_iteratedFDeriv_clm_apply_const, LinearIsometry.adjoint_comp_self

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mul_comm 📖	mathematical	—	NonUnitalNonAssocSemiring.toMul NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring NormedRing.toRing toNormedRing	—	—

NormedRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toMetricSpace 📖	CompOp	84 math math: Filter.Tendsto.cfc, nnnorm_cfc_lt, CFC.tendsto_cfc_rpow_sub_one_log, norm_cfc_lt_iff, ContinuousAt.cfc, ContinuousLinearMap.isometry_mul_flip, norm_cfc_le_iff, Continuous.cfc', Continuous.cfc_nnreal', CFC.continuousOn_log, ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, ContinuousOn.cfc, continuousOn_cfc_setProd, IsGreatest.norm_cfc, CStarAlgebra.toCompleteSpace, IsGreatest.nnnorm_cfc, continuousOn_cfc_nnreal, IsometricContinuousFunctionalCalculus.toNonUnital, IsSelfAdjoint.cfc_arg, Matrix.exp_sum_of_commute, Continuous.cfc_nnreal_of_mem_nhdsSet, ContinuousOn.cfc_nnreal_of_mem_nhdsSet, LipschitzWith.coordinate, LipschitzOnWith.extend_lp_infty, CFC.log_monotoneOn, CFC.monotone_rpow, nnnorm_cfc_le_iff, GromovHausdorff.ghDist_eq_hausdorffDist, continuous_cfcHomSuperset_left, Continuous.cfc_of_mem_nhdsSet, KuratowskiEmbedding.embeddingOfSubset_isometry, ContinuousOn.cfc_nnreal, GromovHausdorff.eq_toGHSpace, nnnorm_cfc_nnreal_lt, CFC.rpow_le_rpow, nnnorm_cfc_nnreal_le, Continuous.cfc_nnreal, ContinuousOn.cfc_of_mem_nhdsSet, nnnorm_cfc_nnreal_le_iff, selfAdjoint.star_coe_unitarySelfAddISMul, CStarAlgebra.rpow_neg_one_le_rpow_neg_one, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, nnnorm_cfc_le, LipschitzOnWith.coordinate, nnnorm_apply_le_nnnorm_cfc, Continuous.cfc, CFC.nnnorm_rpow, apply_le_nnnorm_cfc_nnreal, norm_cfc_le, CStarAlgebra.rpow_neg_one_le_one, ContinuousOn.cfc', Filter.Tendsto.cfc_nnreal, nnnorm_cfc_lt_iff, NormedSpace.continuousOn_exp, CFC.log_le_log, norm_apply_le_norm_cfc, nnnorm_cfc_nnreal_lt_iff, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, norm_cfcHom, CFC.norm_rpow, Unitization.antilipschitzWith_addEquiv, MonotoneOn.nnnorm_cfc, dist_eq, gelfandTransform_isometry, continuousOn_cfc_nnreal_setProd, nnnorm_cfcHom, continuousOn_cfc, KuratowskiEmbedding.exists_isometric_embedding, Unitization.lipschitzWith_addEquiv, IsStarNormal.instIsometricContinuousFunctionalCalculus, NormedSpace.exp_sum_of_commute, ContinuousAt.cfc_nnreal, ContinuousWithinAt.cfc, ContinuousWithinAt.cfc_nnreal, CommCStarAlgebra.toCompleteSpace, CFC.continuousOn_rpow, CFC.conjugate_rpow_neg_one_half, GromovHausdorff.eq_toGHSpace_iff, le_iff_norm_sqrt_mul_rpow, norm_cfc_lt, Nonneg.instIsometricContinuousFunctionalCalculus, kuratowskiEmbedding.isometry, le_iff_norm_sqrt_mul_sqrt_inv
toNonUnitalNormedRing 📖	CompOp	693 math math: HasStrictDerivAt.fun_pow', nnnorm_inv, NormedSpace.exp_neg_of_mem_ball, MeasureTheory.eLpNormEssSup_const_smul_le, NormedSpace.exp_continuous, HasStrictFDerivAt.fun_mul', hasSum_geometric_of_norm_lt_one, Unitary.toLinearMap_mulRight, MeasureTheory.Integrable.bdd_mul', CStarRing.norm_unitary_smul, PowerSeries.IsRestricted.smul, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, inverse_one_sub_norm, MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, MeasureTheory.eLpNormEssSup_const_smul, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, AnalyticOn.aeval_polynomial, NormedSpace.exp_zsmul, derivWithin_smul, MeasureTheory.MemLp.const_mul, hasStrictFDerivAt_list_prod_finRange', ContMDiffMap.coeFnAlgHom_apply, NormedSpace.expSeries_summable_of_mem_ball, iteratedDerivWithin_const_mul_field, nnnorm_cfc_lt, HasDerivWithinAt.div_const, fderivWithin_fun_smul, Filter.Tendsto.exp, BoundedContinuousFunction.algebraMap_apply, geom_series_mul_shift, DifferentiableAt.mul, Matrix.cstar_nnnorm_def, egauge_prod_mk, hasSum_choose_mul_geometric_of_norm_lt_one, derivWithin_mul_const, tsum_coe_mul_geometric_of_norm_lt_one', NormedSpace.invOf_exp_of_mem_ball, Function.HasTemperateGrowth.fun_pow, ordinaryHypergeometric_radius_top_of_neg_nat₃, DifferentiableAt.fun_inv, integrableOn_cfc', AnalyticWithinAt.fun_zpow, Unitary.mem_pathComponentOne_iff, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', analyticOnNhd_inverse, DoubleCentralizer.nnnorm_def', MeasureTheory.MemLp.integrable_mul, tendsto_smul_comp_nat_floor_of_tendsto_mul, deriv_mul_const_field, inverse_add_norm_diff_nth_order, deriv_fun_pow', MDifferentiableWithinAt.mul, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivAt, tsum_choose_mul_geometric_of_norm_lt_one', ContDiff.pow, deriv_mul_const, hasSum_coe_mul_geometric_of_norm_lt_one', tsum_coe_mul_geometric_of_norm_lt_one, Differentiable.fun_inv, NormedSpace.isUnit_exp_of_mem_ball, HasStrictDerivAt.pow', MeasureTheory.Integrable.mul_prod, iteratedDeriv_div_const, differentiableWithinAt_inv, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, analyticAt_iff_analytic_mul, CFC.exp_log, NormedSpace.exp_series_hasSum_exp', DifferentiableOn.fun_mul, HasStrictFDerivAt.mul', hasStrictFDerivAt_exp_smul_const_of_mem_ball', DifferentiableWithinAt.inverse, fderiv_fun_smul, AnalyticOn.fun_inv, egauge_add_add_le, derivWithin_fun_mul, MeasureTheory.integrable_const_mul_iff, HasStrictFDerivAt.const_mul, CircleIntegrable.const_smul, fderiv_fun_pow', gelfandStarTransform_naturality, summable_sum_mul_range_of_summable_norm', HasFDerivWithinAt.const_mul, HasSummableGeomSeries.summable_geometric_of_norm_lt_one, tsum_geometric_of_norm_lt_one, DoubleCentralizer.nnnorm_snd, egauge_univ, Function.update_exp, formalMultilinearSeries_geometric_apply_norm_le, NormedSpace.map_exp, CommCStarAlgebra.toCStarRing, spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div, IntervalIntegrable.mul_continuousOn, inverse_one_sub_nth_order, ordinaryHypergeometricSeries_radius_eq_one, Polynomial.isEquivalent_cobounded_leading_monomial, Quaternion.instCStarRingReal, fderivWithin_const_mul, DifferentiableOn.mul, egauge_zero_zero, AnalyticOn.pow, HasDerivAt.fun_pow', Unitization.nnnorm_def, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, NormedSpace.expSeries_summable, BoundedContinuousFunction.coe_toContinuousMapStarₐ, cfcL_integrable, iteratedDerivWithin_mul_const, IsGreatest.nnnorm_cfc_nnreal, Quaternion.linearIsometryEquivTuple_symm_apply, binomialSeries_radius_eq_one, MeasureTheory.LocallyIntegrableOn.continuousOn_mul, deriv_fun_mul, ContDiffOn.pow, MeasureTheory.Integrable.const_mul, MeasureTheory.HasFiniteIntegral.mul_const, MeasureTheory.integral_Ioi_deriv_mul_eq_sub, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, iteratedDeriv_smul_const, HasStrictFDerivAt.list_prod', hasStrictDerivAt_exp_smul_const, geom_series_succ, Unitary.mulRight_trans_mulRight, hasStrictDerivAt_exp_smul_const', iteratedDeriv_const_mul, MDifferentiableAt.mul, egauge_univ_pi, nnnorm_div, uniqueDiffWithinAt_iff_accPt, tsum_geometric_le_of_norm_lt_one, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, MDifferentiableAt.pow, MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul, Differentiable.pow, deriv_fun_smul, HasStrictDerivAt.mul, summable_mul_of_summable_norm, Matrix.exp_add_of_commute, HasStrictDerivAt.const_mul, intervalIntegral.integral_mul_deriv_eq_deriv_mul, hasFDerivAt_ringInverse, ContinuousLinearMap.instCStarRingId, DifferentiableWithinAt.mul, fderiv_smul, MeasureTheory.Integrable.mul_of_top_right, HasDerivWithinAt.fun_pow', DifferentiableWithinAt.const_mul, differentiableWithinAt_pow, NormedSpace.norm_expSeries_summable, DifferentiableWithinAt.fun_pow, DoubleCentralizer.nnnorm_def, tsum_mul_tsum_of_summable_norm, nndist_inv_inv₀, ContDiffAt.pow, DifferentiableAt.inverse, fderiv_mul_const', AnalyticOn.fun_zpow, mul_neg_geom_series, deriv_const_mul_field', PadicInt.coe_addChar_of_value_at_one, HasFDerivWithinAt.fun_smul, infEDist_smul₀, lp.zeroBasis_repr_apply, NormedSpace.expSeries_hasSum_exp, WeakDual.CharacterSpace.homeoEval_naturality, norm_commutator_sub_one_le, HasDerivWithinAt.mul, Units.instIsManifoldModelWithCornersSelf, selfAdjoint.expUnitary_zero, fderiv_inverse, hasStrictFDerivAt_exp_smul_const', analyticAt_smul, IsGreatest.nnnorm_cfc, egauge_le_one, AnalyticWithinAt.inv, ContinuousMap.isUnit_iff_forall_isUnit, selfAdjoint.nnnorm_pow_two_pow, NormedSpace.analyticAt_exp_of_mem_ball, fderivWithin_inv', MeasureTheory.Measure.hausdorffMeasure_smul₀, derivWithin_div_const, spectrum.gelfand_formula, iteratedFDerivWithin_smul_const_apply, MeasureTheory.Integrable.bdd_mul, le_egauge_smul_left, Real.fourier_mul_convolution_eq, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, MeasureTheory.Integrable.toL1_smul, MeasureTheory.condExp_ofNat, NormedSpace.exp_continuousMap_eq, iteratedDerivWithin_smul_const, DifferentiableOn.inv, MeasureTheory.integral_deriv_mul_eq_sub, fderiv_pow', summable_norm_sum_mul_range_of_summable_norm, selfAdjoint.continuous_expUnitary, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, cfcHom_integral, egauge_pi, Differentiable.fun_pow, deriv_const_mul_field, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', Matrix.exp_nsmul, Unitary.mulLeft_trans_mulLeft, Differentiable.inverse, IsometricContinuousFunctionalCalculus.toNonUnital, DifferentiableOn.div_const, AlgHom.instContinuousLinearMapClassOfAlgHomClass, hasSum_sum_range_mul_of_summable_norm', fderivWithin_fun_mul', analyticAt_iff_analytic_fun_mul, CFC.exp_eq_normedSpace_exp, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, SchwartzMap.integral_mul_laplacian_right_eq_left, ContDiffWithinAt.mul, ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul, fderiv_mul', Units.instLieGroupModelWithCornersSelf, HasStrictDerivAt.mul_const, spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius, NormedSpace.expSeries_summable', NormedSpace.norm_expSeries_summable_of_mem_ball, MeasureTheory.IntegrableOn.continuousOn_mul_of_subset, DifferentiableAt.const_mul, iteratedDeriv_mul, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDeriv_right, DifferentiableWithinAt.fun_mul, AnalyticOn.zpow_nonneg, hasFDerivAt_exp_smul_const', NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, Matrix.exp_sum_of_commute, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, hasFDerivWithinAt_pow', MeasureTheory.Lp.smul_zero, AnalyticWithinAt.aeval_polynomial, infEdist_smul₀, DoubleCentralizer.nnnorm_fst, fderivWithin_mul_const', summable_powerSeries_of_norm_lt_one, MeasureTheory.Lp.norm_smul_le, fderivWithin_smul, AnalyticWithinAt.fun_inv, hasFDerivAt_list_prod_finRange', MeasureTheory.LocallyIntegrableOn.mul_continuousOn, summable_mul_of_summable_norm', summable_choose_mul_geometric_of_norm_lt_one, MeasureTheory.MemLp.mul, NormedSpace.exp_add_of_commute_of_mem_ball, one_memℓp_infty, ordinaryHypergeometric_radius_top_of_neg_nat₂, DifferentiableWithinAt.div_const, Asymptotics.continuousAt_iff_isLittleO, HasFDerivWithinAt.smul_const, AddChar.tendsto_eval_one_sub_pow, DifferentiableAt.inv, AnalyticAt.fun_zpow, NormedSpace.expSeries_div_summable, DifferentiableWithinAt.inv, summable_descFactorial_mul_geometric_of_norm_lt_one, differentiableOn_pow, tsum_choose_mul_geometric_of_norm_lt_one, hasDerivAt_exp_smul_const, NormedSpace.algebraMap_exp_comm, DifferentiableAt.fun_pow, IntervalIntegrable.mul_const, LinearIsometryEquiv.toSpanUnitSingleton_apply, derivWithin_mul_const_field, NormedSpace.map_exp_of_mem_ball, Differentiable.mul_const, lp.infty_coeFn_pow, NormedSpace.expSeries_radius_eq_top, MeasureTheory.integrable_mul_const_iff, nnnorm_cfc_le_iff, HasFDerivWithinAt.mul_const', fderiv_const_mul, MeasureTheory.eLpNorm_const_smul_le', NormedSpace.invOf_exp, lp.zeroBasis_apply, MeasureTheory.IntegrableOn.mul_continuousOn_of_subset, algebraMap_memℓp_infty, fderiv_pow_ring', Function.HasTemperateGrowth.pow, inverse_one_sub, MeasureTheory.MemLp.const_mul', PowerSeries.IsRestricted.neg, WeakDual.CharacterSpace.compContinuousMap_apply, contDiff_smul_const, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, HasDerivWithinAt.const_mul, NormedSpace.exp_units_conj', binomialSeries_radius_eq_top_of_nat, spectrum.hasDerivAt_resolvent, MeasureTheory.Lp.add_smul, deriv_smul, cfc_integral, MeasureTheory.Integrable.mul_bdd, AnalyticAt.aeval_polynomial, MeasureTheory.Integrable.toL1_smul', inverse_add_norm_diff_second_order, nnnorm_cfc_nnreal_lt, derivWithin_fun_smul, HasFDerivAt.fun_pow', Units.nnnorm_pos, HasMFDerivWithinAt.mul', summable_powerSeries_of_norm_lt, le_egauge_smul_right, IsSelfAdjoint.exp_nonneg, AnalyticOn.inv, spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius, intervalIntegral.integral_deriv_mul_eq_sub, nnnorm_cfc_nnreal_le, HasFDerivAt.smul_const, IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, NormedSpace.exp_hasFPowerSeriesAt_zero, nnnorm_cfc_nnreal_le_iff, AnalyticAt.fun_mul, DoubleCentralizer.instCStarRing, Function.HasTemperateGrowth.fun_mul, DifferentiableAt.mul_const, HasFDerivAt.const_mul, NormedSpace.exp_nsmul, formalMultilinearSeries_geometric_apply_norm, MeasureTheory.Integrable.mul_of_top_left, hasSum_geom_series_inverse, formalMultilinearSeries_geometric_eq_ofScalars, DifferentiableOn.fun_inv, MDifferentiable.mul, hasSum_coe_mul_geometric_of_norm_lt_one, hasFDerivAt_exp_zero, Unitary.symm_mulRight, MeasureTheory.Integrable.const_mul', MeasureTheory.eLpNorm_const_smul_le, hasSum_choose_mul_geometric_of_norm_lt_one', egauge_le_of_smul_mem, hasStrictFDerivAt_pow', MeasureTheory.Integrable.mul_const', AnalyticWithinAt.div_const, DifferentiableWithinAt.pow, CFC.log_pow', intervalIntegral.integral_deriv_mul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_mul, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', AnalyticOnNhd.mul, HasDerivWithinAt.pow', AnalyticOnNhd.fun_zpow, MeasureTheory.eLpNorm'_const_smul, MeasureTheory.Lp.coeFn_lpSMul, AnalyticWithinAt.pow, AnalyticWithinAt.fun_zpow_nonneg, MeasureTheory.IntegrableOn.continuousOn_mul, hasSum_sum_range_mul_of_summable_norm, hasFDerivAt_exp_smul_const, lp.infty_coeFn_one, AnalyticOn.zpow, hasStrictFDerivAt_list_prod_attach', nnnorm_cfc_le, hasFPowerSeriesOnBall_inv_one_sub, ContinuousLinearMap.instNonnegSpectrumClassRealId, hasFPowerSeriesOnBall_inverse_one_sub, NormedSpace.expSeries_div_summable_of_mem_ball, hasStrictFDerivAt_ringInverse, integrable_cfc', DifferentiableOn.fun_pow, Prod.fst_exp, nnnorm_apply_le_nnnorm_cfc, AnalyticOnNhd.zpow, IsometricContinuousFunctionalCalculus.spectrum_le, fderiv_smul_const, CircleIntegrable.const_fun_smul, MeasureTheory.eLpNorm_const_smul, Unitary.mulLeft_mul_apply, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, AnalyticAt.fun_pow, differentiable_pow, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, Differentiable.const_mul, iteratedDerivWithin_mul, differentiableOn_inverse, CFC.nnnorm_rpow, spectrum.differentiableOn_inverse_one_sub_smul, MeasureTheory.MemLp.mul_const, Matrix.exp_units_conj', lp.infty_coeFn_intCast, hasStrictFDerivAt_exp_zero_of_radius_pos, CStarAlgebra.toCStarRing, spectrum.hasFDerivAt_resolvent, MeasureTheory.Lp.zero_smul, apply_le_nnnorm_cfc_nnreal, Unitization.instCStarRing, Unitary.toLinearEquiv_mulRight, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm', AlgHom.coe_toContinuousLinearMap, HasFDerivWithinAt.pow', HasDerivAt.const_mul, AnalyticWithinAt.div, intCast_memℓp_infty, HasFDerivAt.list_prod', AnalyticWithinAt.fun_pow, hasFDerivAt_pow', MeasureTheory.Lp.smul_def, MeasureTheory.Lp.smul_neg, WeakDual.CharacterSpace.norm_le_norm_one, Commute.expUnitary_add, cfcL_integral, MemHolder.nnHolderNorm_smul, hasStrictFDerivAt_exp_zero, formalMultilinearSeries_geometric_radius, AccPt.uniqueDiffWithinAt, IntervalIntegrable.continuousOn_mul, DifferentiableOn.pow, iteratedDerivWithin_smul, egauge_eq_zero_iff, Summable.mul_tendsto_const, AnalyticOnNhd.zpow_nonneg, analyticOn_inv, HasDerivAt.mul, StarSubalgebra.to_cstarRing, AnalyticOnNhd.fun_pow, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivAt, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, AnalyticWithinAt.zpow_nonneg, MeasureTheory.Lp.smul_comm, AnalyticOn.div, lp.infty_coeFn_natCast, AnalyticAt.zpow_nonneg, deriv_smul_const, MeasureTheory.MemLp.mul', ediam_smul₀, MeasureTheory.Lp.smul_add, contDiff_mul, Unitary.mulRight_apply, AnalyticOnNhd.div, spectrum.exp_mem_exp, differentiableWithinAt_inverse, Unitary.mulRight_mul_apply, NormedSpace.exp_neg, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, DifferentiableOn.inverse, Unitization.nnnorm_eq_sup, NormedSpace.exp_smul, AnalyticOn.fun_zpow_nonneg, AnalyticWithinAt.zpow, hasDerivAt_exp_smul_const_of_mem_ball', HasDerivWithinAt.mul_const, deriv_const_mul, DilationEquiv.smulTorsor_ratio, contDiff_smul, nnnorm_commutator_sub_one_le, summable_geometric_iff_norm_lt_one, AnalyticAt.fun_inv, summable_pow_mul_geometric_of_norm_lt_one, BoundedContinuousFunction.coe_toContinuousMapₐ, NormedSpace.expSeries_div_hasSum_exp, HasStrictFDerivAt.fun_smul, iteratedDeriv_mul_const_field, HasFDerivAt.pow', Units.val_oneSub, HasStrictFDerivAt.pow', tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, HasDerivAt.div_const, HasFDerivWithinAt.smul, nnnorm_cfc_lt_iff, spectrum.spectralRadius_le_nnnorm, inverse_add_norm_diff_first_order, AnalyticAt.fun_div, MeasureTheory.Integrable.mul_const, tsum_mul_tsum_of_summable_norm', HasStrictFDerivAt.mul_const', MeasureTheory.eLpNorm'_const_smul_le, CFC.log_pow, MeasureTheory.Lp.neg_smul, differentiableAt_pow, AnalyticOnNhd.div_const, AlgHom.toContinuousLinearMap_norm, ContDiffWithinAt.pow, Differentiable.div_const, fderivWithin_list_prod', HasFDerivWithinAt.fun_mul', BoundedContinuousFunction.toContinuousMapₐ_apply, fderivWithin_smul_const, ProbabilityTheory.IndepFun.integrable_right_of_integrable_mul, NormedSpace.continuousOn_exp, Matrix.isUnit_exp, MeasureTheory.Integrable.div_const, fderivWithin_pow_ring', lp.instNormOneClassSubtypePreLpMemAddSubgroupTopENNRealOfNonempty, DifferentiableOn.const_mul, Unitary.symm_mulLeft, MeasureTheory.HasFiniteIntegral.const_mul, HasFDerivWithinAt.fun_pow', AnalyticAt.div_const, summable_sum_mul_antidiagonal_of_summable_norm', integrable_cfc, NormedSpace.expSeries_radius_pos, Function.HasTemperateGrowth.mul, nnnorm_cfc_nnreal_lt_iff, MDifferentiableOn.mul, analyticAt_mul, Unitary.symm_mulRight_apply, NormedSpace.algebraMap_exp_comm_of_mem_ball, HasFDerivAt.mul_const', DifferentiableOn.mul_const, analyticAt_inv, contDiffAt_ringInverse, HasDerivAt.pow', geom_series_mul_neg, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', spectrum.le_nnnorm_of_mem, ordinaryHypergeometric_radius_top_of_neg_nat₁, Units.contMDiff_val, Matrix.instCStarRing, AnalyticOnNhd.aeval_polynomial, le_egauge_of_forall_ne_zero, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, MeasureTheory.eLpNorm'_const_smul_le', Polynomial.cauchyBound_X_add_C, Unitary.mulLeft_apply, MeasureTheory.Lp.smul_assoc, MonotoneOn.nnnorm_cfc, analyticAt_inverse_one_sub, norm_iteratedFDerivWithin_mul_le, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, cfc_setIntegral', DifferentiableAt.div_const, AnalyticOnNhd.fun_zpow_nonneg, hasStrictFDerivAt_inv', hasFDerivAt_exp_smul_const_of_mem_ball', analyticAt_inv_one_sub, Differentiable.mul, iteratedDerivWithin_const_mul, iteratedDeriv_const_mul_field, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivWithinAt, hasStrictFDerivAt_exp_smul_const, AnalyticAt.mul, derivWithin_mul, AnalyticAt.div, lp.zeroBasis_repr_symm_apply_coe, hasDerivAt_exp_smul_const', WeakDual.CharacterSpace.compContinuousMap_comp, Unitary.symm_mulLeft_apply, Memℓp.infty_pow, MeasureTheory.Lp.neg_smul_neg, MeasureTheory.integral_mul_deriv_eq_deriv_mul_of_integrable, summable_geometric_of_norm_lt_one, Polynomial.cauchyBound_X_sub_C, Memℓp.const_mul, nnnorm_cfcHom, integrableOn_cfc, inverse_one_sub_nth_order', NormedSpace.exp_add_of_commute, WeakDual.CharacterSpace.equivAlgHom_symm_coe, ProbabilityTheory.IndepFun.integrable_mul, hasStrictFDerivAt_list_prod', Prod.snd_exp, HasStrictFDerivAt.smul_const, NormedSpace.isUnit_exp, PadicInt.continuousAddCharEquiv_apply, summable_norm_sum_mul_antidiagonal_of_summable_norm, NormedSpace.expSeries_hasSum_exp_of_mem_ball', hasFDerivAt_exp_zero_of_radius_pos, CFC.log_exp, AnalyticAt.fun_zpow_nonneg, iteratedDeriv_fun_mul, Unitary.toLinearEquiv_mulLeft, ContinuousLinearMap.opNorm_lsmul, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, AnalyticOn.div_const, inverse_add_nth_order, analyticOnNhd_inv, DifferentiableAt.pow, MeasureTheory.Measure.euclideanHausdorffMeasure_smul₀, Quaternion.linearIsometryEquivTuple_apply, MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul, DifferentiableWithinAt.fun_inv, coe_algEquiv_lpBCF_symm, MeasureTheory.integral_mul_deriv_eq_deriv_mul, HasFDerivWithinAt.mul', AnalyticAt.pow, DifferentiableAt.fun_mul, spectrum.hasDerivAt_resolvent_const_left, deriv_mul, egauge_smul_right, NormedSpace.exp_analytic, differentiableAt_inv, deriv_pow', NormedSpace.exp_sum_of_commute, AnalyticAt.inv, AnalyticOnNhd.pow, DifferentiableWithinAt.mul_const, fderivWithin_mul', hasStrictDerivAt_exp_smul_const_of_mem_ball, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivWithinAt, hasFDerivAt_inv', HasDerivAt.fun_mul, Matrix.exp_units_conj, NormedSpace.exp_units_conj, tangentConeAt_eq_univ, WeakDual.CharacterSpace.compContinuousMap_id, NormedSpace.expSeries_summable_of_mem_ball', differentiableAt_inverse, AnalyticOn.fun_pow, MeasureTheory.IntegrableOn.mul_continuousOn, ContDiffOn.mul, AnalyticOn.mul, BoundedContinuousFunction.separatesPoints_charPoly, enorm_inv, fderiv_list_prod', HasMFDerivAt.mul', nnnorm_zpow, spectrum.spectralRadius_le_pow_nnnorm_pow_one_div, eHolderNorm_smul, NormedSpace.exp_mem_unitary_of_mem_skewAdjoint, MDifferentiableWithinAt.pow, deriv_mul_const_field', CFC.real_exp_eq_normedSpace_exp, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, Differentiable.inv, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, HasFDerivAt.fun_mul', Ring.inverse_exp, one_le_nnnorm_one, unitary.mem_pathComponentOne_iff, derivWithin_smul_const, derivWithin_const_mul_field, AnalyticOnNhd.fun_inv, egauge_zero_right, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm', hasDerivAt_exp_smul_const_of_mem_ball, analyticAt_inverse, MeasureTheory.integral_Iic_deriv_mul_eq_sub, HasFDerivAt.mul', toRingNorm_apply, coe_algEquiv_lpBCF, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, hasFDerivAt_list_prod_attach', iteratedDerivWithin_mul_const_field, geom_series_eq_inverse, AnalyticAt.zpow, NormedSpace.expSeries_hasSum_exp_of_mem_ball, MDifferentiableOn.pow, binomialSeries_radius_ge_one, CFC.complex_exp_eq_normedSpace_exp, deriv_div_const, HasFDerivAt.smul, isUnit_one_sub_of_norm_lt_one, one_le_formalMultilinearSeries_geometric_radius, cfc_setIntegral, differentiableOn_inv, MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, Ideal.IsMaximal.closure_eq, egauge_le_of_smul_mem_of_ne, IntervalIntegrable.div_const, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm, SchwartzMap.integral_mul_lineDerivOp_right_eq_neg_left, egauge_pi', Pi.exp_def, derivWithin_fun_pow', cfc_integral', Polynomial.IsRoot.norm_lt_cauchyBound, selfAdjoint.expUnitary_coe, intervalIntegral.integral_const_mul, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ContDiff.mul, MeasureTheory.eLpNormEssSup_const_smul_le', derivWithin_pow', HasStrictFDerivAt.smul, IntervalIntegrable.const_mul, IsSelfAdjoint.nnnorm_pow_two_pow, MDifferentiable.pow, AnalyticWithinAt.mul, AnalyticOnNhd.inv, Unitization.nnnorm_inr, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, hasStrictFDerivAt_exp_smul_const_of_mem_ball, HasDerivAt.mul_const, derivWithin_const_mul, ContDiffAt.mul, HasFDerivWithinAt.list_prod', fderiv_inv', natCast_memℓp_infty, Unitary.mulRight_one, egauge_smul_left, Pi.coe_exp, fderivWithin_pow'
toNorm 📖	CompOp	201 math math: CStarRing.norm_mul_coe_unitary, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, CStarRing.norm_unitary_smul, inverse_one_sub_norm, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, CStarAlgebra.mem_Icc_algebraMap_iff_norm_le, NumberField.mixedEmbedding.norm_eq_sup'_normAtPlace, spectrum.norm_le_norm_of_mem, PositiveLinearMap.apply_le_of_isSelfAdjoint, spectrum.subset_closedBall_norm_mul, Polynomial.isLittleO_cobounded_of_degree_lt, LinearMap.polar_eq_iInter, norm_cfc_lt_iff, Asymptotics.IsBigOWith.pow, EisensteinSeries.summand_bound_of_mem_verticalStrip, inverse_add_norm_diff_nth_order, NumberField.mixedEmbedding.norm_le_convexBodySumFun, selfAdjoint.norm_sq_expUnitary_sub_one, CStarAlgebra.norm_or_neg_norm_mem_spectrum, EisensteinSeries.abs_le_right_of_norm, CStarAlgebra.mem_Icc_iff_norm_le_one, Asymptotics.IsLittleO.mul, summable_norm_mul_geometric_of_norm_lt_one, norm_cfc_le_iff, CStarAlgebra.norm_le_natCast_iff_of_nonneg, summable_norm_mul_geometric_of_norm_lt_one', CStarRing.norm_of_mem_unitary, LinearMap.polar_singleton, formalMultilinearSeries_geometric_apply_norm_le, Asymptotics.IsLittleO.pow, Asymptotics.isLittleO_const_mul_right_iff, DoubleCentralizer.norm_def', CStarMatrix.norm_def', RingHomIsometric.starRingEnd, spectrum.norm_le_norm_mul_of_mem, DoubleCentralizer.norm_def, tsum_geometric_le_of_norm_lt_one, Asymptotics.isBigO_pow_pow_cobounded_of_le, multipliable_norm_one_add_of_summable_norm, Valued.integer.exists_norm_lt_one, Unitary.norm_sub_one_lt_two_iff, toRingNorm_toFun, NormedSpace.norm_expSeries_summable, Asymptotics.IsBigOWith.of_pow, IsGreatest.norm_cfc, IsSelfAdjoint.neg_algebraMap_norm_le_self, Valued.integer.norm_irreducible_lt_one, unitary.norm_sub_eq, NormedSpace.norm_expSeries_summable_of_mem_ball', summable_norm_sum_mul_range_of_summable_norm, AlgHom.norm_apply_le_self, Matrix.l2_opNorm_diagonal, Asymptotics.IsBigOWith.pow', NormMulClass.isAbsoluteValue_norm, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, Finset.norm_prod_one_add_sub_one_le, CStarRing.instNormOneClassOfNontrivial, NormedSpace.norm_expSeries_summable_of_mem_ball, Unitary.norm_sub_one_sq_eq, EisensteinSeries.norm_eq_max_natAbs, Matrix.permMatrix_l2_opNorm_le, Asymptotics.IsBigO.mul, PowerSeries.IsRestricted.isRestricted_iff, Summable.summable_log_norm_one_add, DoubleCentralizer.norm_snd, Asymptotics.isBigOWith_self_const_mul, Valued.integer.norm_le_one, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, Asymptotics.continuousAt_iff_isLittleO, Unitization.norm_eq_sup, IsSelfAdjoint.norm_pow_two_pow, IsSelfAdjoint.toReal_spectralRadius_complex_eq_norm, Polynomial.tendsto_norm_atTop, Polynomial.exists_forall_norm_le, unitary.norm_argSelfAdjoint, Asymptotics.isBigO_const_mul_right_iff, CStarRing.norm_mul_mem_unitary, unitary.two_mul_one_sub_le_norm_sub_one_sq, EisensteinSeries.summable_one_div_norm_rpow, Int.toNat_add_toNat_neg_eq_norm, inverse_add_norm, Int.instNormMulClass, Asymptotics.IsBigO.const_mul_right, inverse_add_norm_diff_second_order, Asymptotics.isBigO_const_mul_left_iff, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, EisensteinSeries.isBigO_linear_add_const_vec, WithAbs.norm_eq_abv, CauSeq.tendsto_limit, Valued.integer.coe_span_singleton_eq_closedBall, Unitary.spectrum_subset_slitPlane_iff_norm_lt_two, NormedSpace.norm_expSeries_summable', Unitization.norm_def, Finset.norm_prod_le', EisensteinSeries.r_mul_max_le, Asymptotics.IsBigO.mul_isLittleO, AddChar.norm_apply, EisensteinSeries.norm_symm, CStarAlgebra.mul_star_le_algebraMap_norm_sq, WithAbs.norm_toAbs_eq, LinearMap.mem_polar_singleton, Asymptotics.isLittleO_const_mul_left_iff, spectrum.coe_le_norm_of_mem, CStarAlgebra.norm_le_iff_le_algebraMap, one_le_norm_one, Valued.integer.norm_unit, CStarAlgebra.star_mul_le_algebraMap_norm_sq, IsometricContinuousFunctionalCalculus.norm_spectrum_le, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, NumberField.canonicalEmbedding.norm_le_iff, Unitary.two_mul_one_sub_le_norm_sub_one_sq, WeakDual.CharacterSpace.norm_le_norm_one, norm_cfc_le, spectrum.pow_norm_pow_one_div_tendsto_nhds_spectralRadius, ContinuousMap.comp_attachBound_mem_closure, isLittleO_coe_const_pow_of_one_lt, IsOfFinOrder.norm_eq_one, Unitary.norm_sub_eq, WithAbs.norm_eq_apply_ofAbs, DoubleCentralizer.norm_fst, Unitization.instNormOneClass, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, inverse_add_norm_diff_first_order, Asymptotics.isBigO_self_const_mul, Matrix.l2_opNorm_le_one_of_mem_doublyStochastic, EisensteinSeries.abs_le_left_of_norm, Irreducible.maximalIdeal_eq_closedBall, Asymptotics.IsLittleO.const_mul_right, EisensteinSeries.abs_norm_eq_max_natAbs, Valued.integer.isUnit_iff_norm_eq_one, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, PositiveLinearMap.norm_apply_le_of_nonneg, norm_apply_le_norm_cfc, IsSelfAdjoint.toReal_spectralRadius_eq_norm, Int.norm_coe_units, ContinuousMap.polynomial_comp_attachBound, EisensteinSeries.abs_norm_eq_max_natAbs_neg, summable_norm_geometric_of_norm_lt_one, norm_cfcHom, Unitary.norm_argSelfAdjoint, CFC.norm_rpow, CStarRing.norm_coe_unitary_mul, CStarAlgebra.norm_sub_mul_self_le, CStarAlgebra.norm_le_one_iff_of_nonneg, WithAbs.norm_eq_abv', unitary.norm_sub_one_lt_two_iff, CStarRing.norm_mem_unitary_mul, dist_eq, NumberField.InfinitePlace.map_intCast, Units.norm_pos, RCLike.instNormSMulClassInt, Irreducible.maximalIdeal_pow_eq_closedBall_pow, Polynomial.isBigO_cobounded_of_degree_le, lp.norm_const_smul_le, ContinuousMap.polynomial_comp_attachBound_mem, unitary.norm_sub_one_sq_eq, Asymptotics.IsLittleO.mul_isBigO, Asymptotics.IsBigO.pow, CStarAlgebra.norm_mem_spectrum_of_nonneg, summable_norm_sum_mul_antidiagonal_of_summable_norm, summable_norm_pow_mul_geometric_of_norm_lt_one, IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, prod_vanishing_of_summable_norm, Matrix.cstar_norm_def, isLittleO_pow_const_const_pow_of_one_lt, LinearMap.polar_mem_iff, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, spectrum.resolvent_isBigO_inv, Finset.norm_prod_le, Asymptotics.isLittleO_pow_pow_cobounded_of_lt, CStarAlgebra.exists_sum_four_unitary, isLittleO_pow_const_mul_const_pow_const_pow_of_norm_lt, IsSelfAdjoint.le_algebraMap_norm_self, Int.instNormOneClass, Asymptotics.IsBigOWith.mul, LinearMap.polar_mem, CStarRing.norm_one, Summable.mul_norm, spectrum.subset_closedBall_norm, EisensteinSeries.vec_add_const_isTheta, EisensteinSeries.summand_bound, toRingNorm_apply, CStarRing.norm_coe_unitary, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, Asymptotics.IsLittleO.of_pow, le_iff_norm_sqrt_mul_rpow, unitary.two_mul_one_sub_cos_norm_argSelfAdjoint, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, Int.Matrix.exists_ne_zero_int_vec_norm_le, Unitization.norm_inr, norm_cfc_lt, EisensteinSeries.div_max_sq_ge_one, Valued.integer.norm_irreducible_pos, Int.Matrix.exists_ne_zero_int_vec_norm_le', norm_mul_le, le_iff_norm_sqrt_mul_sqrt_inv, Matrix.permMatrix_l2_opNorm_eq, unitary.spectrum_subset_slitPlane_iff_norm_lt_two, Asymptotics.IsBigOWith.const_mul_right, AlgHom.norm_apply_le_self_mul_norm_one, Unitary.two_mul_one_sub_cos_norm_argSelfAdjoint
toRing 📖	CompOp	2344 math math: AnalyticWithinAt.const_smul, Unitary.openPartialHomeomorph_source, Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, MeasureTheory.L1.setToL1_eq_setToL1', instSeparatingDual, hasFDerivAt_iff_hasDerivAt, absorbent_iff_eventually_nhdsNE_zero, TensorProduct.mapInclIsometry_apply, ContinuousMap.toLp_inj, DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply, CStarRing.norm_mul_coe_unitary, HasSum.exp, closure_diff_intrinsicFrontier, Submodule.starProjection_apply_eq_isComplProjection, fderiv_iteratedFDeriv, HasStrictDerivAt.fun_pow', MeasureTheory.LpToLpRestrictCLM_coeFn, AnalyticAt.tendsto_mul_logDeriv_simple_zero, NormedSpace.exp_neg_of_mem_ball, MeasureTheory.eLpNormEssSup_const_smul_le, NormedSpace.exp_continuous, HasDerivWithinAt.clm_comp, SchwartzMap.lineDerivOpCLM_eq, topDualPairing_isContPerfPair, HasStrictFDerivAt.fun_mul', unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, RCLike.one_re, Submodule.coe_continuous_linearProjOfClosedCompl', InnerProductSpace.isPositive_rankOne_self, AffineIsometry.image_intrinsicClosure, Submodule.IsCompl.projection_isSymmetricProjection_iff, lp.coe_linearMapOfLE_apply, MeasureTheory.Lp.instIsScalarTower, hasSum_geometric_of_norm_lt_one, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, Unitary.toLinearMap_mulRight, AffineIsometryEquiv.coe_mk, MDifferentiableOn.clm_postcomp, OrthonormalBasis.orthogonalProjection_eq_sum, ContinuousLinearMap.compSL_apply, LinearMap.IsSymmetric.inner_map_polarization, IsStarNormal.spectralRadius_eq_nnnorm, MeasureTheory.Integrable.bdd_mul', CStarRing.norm_unitary_smul, AnalyticOnNhd.smul, Affine.Simplex.orthogonalProjectionSpan_map, EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal, Matrix.IsHermitian.isClosedEmbedding_cfcAux, Bornology.isVonNBounded_iff_tendsto_smallSets_nhds, PowerSeries.IsRestricted.smul, AnalyticOnNhd.eq_zero_or_eq_zero_of_smul_eq_zero, PadicInt.lift_sub_val_mem_span, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, inverse_one_sub_norm, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasStrictFDerivAt_exp_of_mem_ball, MeasureTheory.eLpNorm_smul_le_mul_eLpNorm, norm_zsmul, PadicInt.norm_int_lt_one_iff_dvd, smooth_barycentric_coord, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, AnalyticOn.aeval_polynomial, CStarAlgebra.mem_Icc_algebraMap_iff_norm_le, NormedSpace.exp_zsmul, dist_midpoint_right, IntervalIntegrable.smul_continuousOn, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_1, PadicInt.norm_intCast_eq_padic_norm, derivWithin_smul, MeasureTheory.MemLp.const_mul, Submodule.orthogonalDecomposition_symm_apply, hasStrictFDerivAt_list_prod_finRange', Filter.Tendsto.cfc, InnerProductSpace.rankOne_one_left_eq_innerSL, Subalgebra.spectrum_sUnion_connectedComponentIn, IsHilbertSum.mkInternal, ContMDiffMap.coeFnAlgHom_apply, AffineIsometryEquiv.coe_symm_toAffineEquiv, AlgHomClass.instStarHomClass, NormedSpace.expSeries_summable_of_mem_ball, ContinuousAffineMap.fderiv, iteratedDerivWithin_const_mul_field, HasFiniteFPowerSeriesAt.neg, PadicInt.valuation_p, nnnorm_cfc_lt, EuclideanSpace.orthonormal_single, HasDerivWithinAt.div_const, MeasureTheory.IntegrableOn.continuousOn_smul, meromorphicOrderAt_const_ofNat, fderivWithin_fun_smul, ContinuousAffineMap.differentiableWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, PositiveLinearMap.apply_le_of_isSelfAdjoint, Matrix.IsHermitian.det_abs, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, hasFDerivAt_multiset_prod, ContDiffOn.smul_const, Filter.Tendsto.exp, PadicInt.isCauSeq_nthHom, MDifferentiableAt.cle_arrowCongr, Absorbs.eventually_nhds_zero, BoundedContinuousFunction.algebraMap_apply, Submodule.toLinearEquiv_orthogonalDecomposition_symm, spectrum.subset_closedBall_norm_mul, derivWithin_id', spectrum.instCompactSpace, geom_series_mul_shift, hasFTaylorSeriesUpToOn_top_iff_right, DifferentiableAt.mul, Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, MeasureTheory.Lp.const_smul_mem_Lp, MeasureTheory.MemLp.smul, Matrix.spectrum_toEuclideanLin, Polynomial.isLittleO_cobounded_of_degree_lt, CFC.tendsto_cfc_rpow_sub_one_log, MeasureTheory.lpNorm_fun_div_natCast, MeasureTheory.norm_condExpL2_le, SchwartzMap.pairing_apply_apply, Submodule.instStrictConvexSpace, InnerProductSpace.isIdempotentElem_rankOne_self, Matrix.cstar_nnnorm_def, Differentiable.clm_comp, Padic.withValUniformEquiv_norm_le_one_iff, hasSum_choose_mul_geometric_of_norm_lt_one, derivWithin_mul_const, MeasureTheory.LocallyIntegrable.integrable_smul_right_of_hasCompactSupport, Matrix.IsHermitian.cfc_eq, tsum_coe_mul_geometric_of_norm_lt_one', Rat.padicValuation_cast, HasStrictDerivAt.pow, NormedSpace.invOf_exp_of_mem_ball, Function.HasTemperateGrowth.fun_pow, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, Filter.inv_nhdsWithin_ne_zero, ContinuousLinearMap.hasDerivAtFilter, DoubleCentralizer.intCast_snd, Submodule.re_inner_starProjection_eq_normSq, ordinaryHypergeometric_radius_top_of_neg_nat₃, inner_self_eq_one_of_norm_eq_one, tendsto_zpow_nhdsNE_zero_cobounded, integrableOn_cfc', ContinuousMap.toLp_denseRange, IsCovariantDerivativeOn.difference_apply, AffineIsometryEquiv.linear_eq_linear_isometry, PadicComplex.valuation_extends, ContinuousLinearMap.integral_apply, PadicComplex.charZero, Unitary.mem_pathComponentOne_iff, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, Asymptotics.isBigOWith_mul_iff_isBigOWith_div, ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_toLinearEquiv, ContMDiffCovariantDerivativeOn.affine_combination, LinearMap.IsSymmetric.diagonalization_apply_self_apply, EuclideanGeometry.orthogonalProjection_congr, Memℓp.const_smul, ContinuousAlternatingMap.instIsUniformAddGroup, PadicInt.appr_spec, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', Matrix.le_iff, norm_cfc_lt_iff, Submodule.starProjection_orthogonal', AffineIsometryEquiv.ofTop_apply, analyticOnNhd_inverse, Units.nhds, Submodule.toLinearEquiv_orthogonalDecomposition, Asymptotics.IsBigOWith.pow, PadicComplex.coe_eq, RCLike.sub_conj, HasFPowerSeriesWithinAt.const_smul, SchwartzMap.lineDerivOp_fourier_eq, PadicInt.norm_intCast_lt_one_iff, AddChar.wInner_cWeight_self, Orthonormal.codRestrict, EuclideanSpace.basisFun_toBasis, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, hasDerivAt_neg', HasFDerivAtFilter.sub, ContMDiffOn.clm_postcomp, MeasureTheory.MemLp.integrable_mul, tendsto_smul_comp_nat_floor_of_tendsto_mul, dist_left_midpoint, ContinuousMap.range_toLp, deriv_mul_const_field, PadicComplex.norm_eq_norm, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, Differentiable.fun_smul, selfAdjoint.expUnitaryPathToOne_apply, inverse_add_norm_diff_nth_order, Unitary.continuousOn_argSelfAdjoint, deriv_fun_pow', MDifferentiableWithinAt.mul, PadicSeq.ne_zero_iff_nequiv_zero, selfAdjoint.norm_sq_expUnitary_sub_one, CStarAlgebra.norm_or_neg_norm_mem_spectrum, FormalMultilinearSeries.derivSeries_coeff_one, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivAt, Matrix.spectrum_toLpLin, StarAlgebra.elemental.characterSpaceToSpectrum_coe, PadicInt.sub_zmodRepr_mem, AnalyticAt.fun_const_smul, tsum_choose_mul_geometric_of_norm_lt_one', OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, fderiv_clm_comp, ContDiff.pow, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, OrthogonalFamily.of_pairwise, deriv_mul_const, fderiv_continuousAlternatingMap_apply_const, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, iteratedDeriv_pow, hasSum_coe_mul_geometric_of_norm_lt_one', AffineMap.hasDerivWithinAt, RCLike.conj_nat_cast, LeftInvariantDerivation.left_invariant, isUltrametricDist_iff_forall_norm_natCast_le_one, EuclideanSpace.basisFun_apply, tsum_coe_mul_geometric_of_norm_lt_one, ContinuousAt.cfc, HasFPowerSeriesAt.neg, EuclideanGeometry.orthogonalProjection_contLinear, hasDerivAt_exp_zero_of_radius_pos, ContinuousAffineMap.differentiable, EuclideanGeometry.dist_orthogonalProjection_eq_iff_oangle_eq, MeasureTheory.IntegrableOn.smul_continuousOn, PadicInt.norm_p_pow, Filter.map_mul_left_cobounded, NormedSpace.isUnit_exp_of_mem_ball, curveIntegrable_fun_neg_iff, HasStrictDerivAt.pow', CStarAlgebra.mem_Icc_iff_norm_le_one, MeasureTheory.Integrable.mul_prod, Asymptotics.IsLittleO.mul, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, analyticAt_iff_analytic_mul, CFC.exp_log, Affine.Triangle.prod_dist_div_dist_eq_one_of_mem_line_of_mem_line, NormedSpace.exp_series_hasSum_exp', DifferentiableOn.fun_mul, HasStrictFDerivAt.mul', EuclideanGeometry.reflection_map, AffineEquiv.continuous_of_finiteDimensional, HasFDerivAtFilter.const_sub, ContDiffWithinAt.fun_smul, iteratedFDerivWithin_succ_eq_comp_left, summable_norm_mul_geometric_of_norm_lt_one, hasStrictFDerivAt_exp_smul_const_of_mem_ball', contDiffOn_iff_continuousOn_differentiableOn, DifferentiableWithinAt.inverse, SchwartzMap.laplacianCLM_eq, fderiv_fun_smul, nndist_midpoint_right, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, CStarAlgebra.pow_nonneg, norm_cfc_le_iff, iter_deriv_zpow', derivWithin_fun_mul, Matrix.exp_conj', MeasureTheory.integrable_const_mul_iff, HasStrictFDerivAt.const_mul, MeasureTheory.L1.integral_smul, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, DifferentiableOn.smul_const, Matrix.PosDef.eigenvalues_pos, CStarAlgebra.norm_le_natCast_iff_of_nonneg, InnerProductSpace.inner_left_rankOne_apply, summable_norm_mul_geometric_of_norm_lt_one', ContinuousLinearMap.smul_compLp, Matrix.exp_neg, differentiable_descPochhammer_eval, FormalMultilinearSeries.taylorComp_sub_taylorComp_isBigO, HasFTaylorSeriesUpToOn.comp_continuousAffineMap, CircleIntegrable.const_smul, OrthonormalBasis.repr_self, ContMDiffAt.clm_postcomp, ContMDiffWithinAt.clm_postcomp, fderiv_fun_pow', PadicComplex.coe_natCast, ContinuousLinearMap.topologicalAddGroup, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, Continuous.cfc', OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection, PadicInt.irreducible_p, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, summable_sum_mul_range_of_summable_norm', Filter.map_mul_right_cobounded, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, Filter.inv_nhdsNE_zero, HasStrictDerivAt.clm_comp, MeasureTheory.Lp.compMeasurePreservingₗ_apply, EuclideanGeometry.inter_eq_singleton_orthogonalProjection, HasFDerivWithinAt.const_mul, AnalyticOn.hasFPowerSeriesOnSubball, ContinuousMap.toLp_norm_le, ContinuousMultilinearMap.norm_smulRightL_le, HasSummableGeomSeries.summable_geometric_of_norm_lt_one, tsum_geometric_of_norm_lt_one, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, PowerSeries.IsRestricted.add, CStarAlgebra.mem_Icc_iff_nnnorm_le_one, lp.toAddMonoidHom_linearMapOfLE, curveIntegral_neg, HasFDerivAt.sub, FormalMultilinearSeries.radius_le_smul, MDifferentiable.clm_postcomp, Function.update_exp, tendsto_norm_inv_nhdsNE_zero_atTop, formalMultilinearSeries_geometric_apply_norm_le, HasFPowerSeriesOnBall.hasSum_iteratedFDeriv, fderivWithin_const_sub, Absorbs.eventually_nhdsNE_zero, spectrum.isOpen_resolventSet, Affine.Simplex.orthogonalProjectionSpan_eq_point, NormedSpace.map_exp, Continuous.cfc_nnreal', HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, HasFDerivAtFilter.neg, nndist_right_lineMap, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, FormalMultilinearSeries.radius_compNeg, spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div, Padic.exi_rat_seq_conv_cauchy, IntervalIntegrable.mul_continuousOn, inverse_one_sub_nth_order, ordinaryHypergeometricSeries_radius_eq_one, Polynomial.isEquivalent_cobounded_leading_monomial, Matrix.toEuclideanLin_apply, ContinuousMultilinearMap.uniformity_eq_seminorm, iteratedDerivWithin_eq_iteratedFDerivWithin, VectorFourier.fourierPowSMulRight_eq_comp, RCLike.intCast_re, EuclideanGeometry.orthogonalProjection_map, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, fderivWithin_const_mul, DifferentiableOn.mul, Asymptotics.IsLittleO.pow, Rat.padicValuation_self, AnalyticOn.pow, Asymptotics.isLittleO_const_mul_right_iff, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, PadicInt.maximalIdeal_eq_span_p, HasFTaylorSeriesUpTo.fderiv_eq, HasDerivAt.fun_pow', CFC.continuousOn_log, nndist_left_lineMap, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, fderivWithin_fun_neg, ContinuousLinearMap.flipMultilinear_apply_apply, NormedSpace.expSeries_summable, fderiv_continuousAlternatingMapCompContinuousLinearMap, PadicInt.norm_lt_one_iff_dvd, compactOperator_topologicalClosure, MeromorphicOn.divisor_natCast, Submodule.coe_orthogonalDecomposition_symm, PadicInt.mul_inv, BoundedContinuousFunction.coe_toContinuousMapStarₐ, RCLike.I_mul_I, cfcL_integrable, iteratedDerivWithin_mul_const, ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, MeasureTheory.Integrable.smul_bdd, fderiv_neg, Asymptotics.IsBigO.listProd, EuclideanGeometry.angle_orthogonalProjection_self, binomialSeries_radius_eq_one, EuclideanGeometry.orthogonalProjection_apply_mem, MeasureTheory.LocallyIntegrableOn.continuousOn_mul, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, LinearPMap.graph_adjoint_toLinearPMap_eq_adjoint, EuclideanGeometry.dist_orthogonalProjection_eq_of_oangle_eq, lp.evalₗ_apply, deriv_fun_mul, ContinuousAffineMap.norm_def, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, ContDiffOn.pow, AffineSubspace.coe_subtypeₐᵢ, MeasureTheory.Integrable.const_mul, MeasureTheory.HasFiniteIntegral.mul_const, MeasureTheory.integral_Ioi_deriv_mul_eq_sub, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, spectrum.norm_le_norm_mul_of_mem, iteratedDeriv_smul_const, Asymptotics.IsLittleO.tendsto_div_nhds_zero, ContinuousOn.cfc, HasStrictFDerivAt.list_prod', SchwartzMap.fourier_lineDerivOp_eq, DifferentiableAt.smul, hasStrictDerivAt_exp_smul_const, EuclideanGeometry.dist_orthogonalProjection_eq_iff_angle_eq, lp.instIsCentralScalarPreLp, MeasureTheory.Integrable.essSup_smul, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, fderiv_fun_sub, multipliable_one_add_of_summable, geom_series_succ, Asymptotics.isLittleO_pow_pow, Unitary.mulRight_trans_mulRight, PadicInt.exists_mem_range, hasStrictDerivAt_exp_smul_const', iteratedDeriv_const_mul, MDifferentiableAt.mul, LinearIsometry.toAffineIsometry_toAffineMap, SchwartzMap.smulLeftCLM_real_smul, EulerProduct.eulerProduct_completely_multiplicative, tsum_geometric_le_of_norm_lt_one, PadicInt.exists_mem_range_of_norm_rat_le_one, HasMFDerivAt.neg, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, derivWithin_zpow, Matrix.PosSemidef.posDef_iff_isUnit, UnitAddTorus.mFourierCoeff_toLp, ContinuousLinearMap.mulLeftRight_apply, MDifferentiableAt.pow, MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul, Differentiable.pow, hasDerivAt_id', Matrix.IsHermitian.eigenvectorUnitary_mulVec, deriv_fun_smul, AffineIsometryEquiv.pointReflection_toAffineEquiv, HasStrictDerivAt.mul, Padic.zero_def, FDerivMeasurableAux.norm_sub_le_of_mem_A, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, MDifferentiableAt.clm_postcomp, fderiv_continuousAlternatingMap_apply, HasFDerivWithinAt.const_sub, HasDerivAt.pow, summable_mul_of_summable_norm, Matrix.exp_add_of_commute, Asymptotics.isBigO_pow_pow_cobounded_of_le, LinearEquiv.toSpanNonzeroSingleton_homothety, PadicInt.inv_mul, Matrix.PosSemidef.det_sqrt, multipliable_norm_one_add_of_summable_norm, LinearPMap.adjoint_apply_eq, HasStrictDerivAt.const_mul, Unitary.openPartialHomeomorph_symm_apply, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime_pow, NormedDivisionRing.toNormMulClass, ContinuousLinearMap.hasDerivAt, PadicInt.fwdDiff_tendsto_zero, intervalIntegral.integral_mul_deriv_eq_deriv_mul, Module.Basis.coe_toOrthonormalBasis_repr, hasFDerivAt_ringInverse, MeasureTheory.convolution_precompR_apply, SchwartzMap.compSubConstCLM_apply, Filter.inv_cobounded₀, MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc, HasMFDerivWithinAt.neg, DifferentiableWithinAt.mul, dist_left_midpoint_eq_dist_right_midpoint, InnerProductSpace.nnnorm_rankOne, fderiv_smul, spectrum.gelfandTransform_eq, OrthonormalBasis.orthogonalProjection_apply_eq_sum, HasDerivAt.fun_pow, FormalMultilinearSeries.taylorComp_sub_taylorComp_isLittleO, AffineMap.differentiableWithinAt, AffineIsometryEquiv.toContinuousAffineEquiv_symm, MeasureTheory.Integrable.mul_of_top_right, logDeriv_fun_pow, ContinuousMap.spectrum_eq_preimage_range, Submodule.IsCompl.closedComplemented_of_isClosed, HasDerivWithinAt.fun_pow', InnerProductSpace.isSymmetricProjection_rankOne_self, MeasureTheory.lpNorm_mul_natCast, hasDerivWithinAt_neg, DifferentiableWithinAt.const_mul, Unitary.norm_sub_one_lt_two_iff, differentiableWithinAt_pow, hasMFDerivAt_neg, toRingNorm_toFun, Matrix.IsHermitian.charpoly_cfc_eq, NormedSpace.norm_expSeries_summable, DifferentiableWithinAt.fun_pow, spectrum.isCompact, tsum_mul_tsum_of_summable_norm, LinearMap.hasStrictDerivAt, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, EuclideanGeometry.dist_orthogonalProjection_eq_of_two_zsmul_oangle_eq, CStarAlgebra.nnnorm_le_iff_of_nonneg, iteratedFDerivWithin_neg_apply, isStrictlyPositive_add, ContDiffAt.pow, PadicSeq.lift_index_left_left, Polynomial.cauchyBound_smul, HasStrictFDerivAt.to_implicitFunctionOfComplemented, EuclideanGeometry.orthogonalProjection_apply', Affine.Simplex.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, Polynomial.isClosedMap_eval, PadicInt.norm_natCast_zmodRepr_eq_one_iff_ne, NormedSpace.inclusionInDoubleDual_norm_eq, SchwartzMap.smulLeftCLM_sum, DifferentiableAt.inverse, AffineMap.hasDerivWithinAt_lineMap, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, ContinuousLinearMap.fderiv_of_bilinear, RCLike.ofReal_natCast, EuclideanGeometry.orthogonalProjection_orthogonalProjection_of_le, continuousOn_cfc_setProd, fderiv_mul_const', spectrum.spectralRadius_lt_of_forall_lt, RKHS.posSemidef_tfae, deriv_id'', OrthonormalBasis.coe_ofRepr, ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range, EuclideanGeometry.Sphere.isTangent_iff_isTangentAt_orthogonalProjection, Submodule.adjoint_subtypeL, IsGreatest.norm_cfc, hasStrictFDerivAt_exp, NormedSpace.exp_conj, IsSelfAdjoint.neg_algebraMap_norm_le_self, ContinuousLinearMap.norm_smulRightL, mul_neg_geom_series, deriv_const_mul_field', unitSphereToUnits_apply_coe, Function.FactorizedRational.mulSupport, PadicInt.coe_addChar_of_value_at_one, HasFDerivWithinAt.fun_smul, Unitary.expUnitary_eq_mul_inv, PadicInt.mahlerSeries_apply_nat, Matrix.LE.le.posSemidef, Affine.Triangle.dist_circumcenter_reflection_orthocenter, ContinuousLinearMap.compContinuousMultilinearMapL_apply, InnerProductSpace.trace_rankOne, MDifferentiableWithinAt.cle_arrowCongr, MDifferentiableWithinAt.clm_precomp, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, HasFDerivWithinAt.neg, AffineIsometry.toContinuousAffineMap_id, AnalyticAt.smul, Filter.tendsto_inv₀_cobounded, ContinuousLinearMap.compL_apply, PowerSeries.IsRestricted.mul, tendsto_intCast_atBot_sup_atTop_cobounded, ZSpan.repr_ceil_apply, Asymptotics.isEquivalent_nat_ceil, iteratedDeriv_fun_id_zero, unitary.norm_sub_eq, DoubleCentralizer.neg_snd, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ContinuousAlternatingMap.instIsTopologicalAddGroup, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, IsIntegral.ratCast_iff, lp.zeroBasis_repr_apply, dist_lineMap_left, NormedSpace.expSeries_hasSum_exp, Matrix.toEuclideanCLM_toLp, WeakDual.CharacterSpace.homeoEval_naturality, Submodule.IsCompl.projection_isSymmetricProjection_of_isOrtho, IsSelfAdjoint.val_re_map_spectrum, norm_commutator_sub_one_le, HasDerivWithinAt.mul, Asymptotics.IsBigO.eventually_mul_div_cancel, absorbs_iff_eventually_nhdsNE_zero, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, Units.instIsManifoldModelWithCornersSelf, ContinuousLinearMap.isUniformAddGroup, LeftInvariantDerivation.evalAt_coe, selfAdjoint.expUnitary_zero, fderiv_inverse, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, Matrix.posDef_gram_of_linearIndependent, ContMDiffOn.clm_precomp, BoundedContinuousFunction.toLp_inj, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, contDiffOn_nat_iff_continuousOn_differentiableOn, HilbertBasis.hasSum_orthogonalProjection, padicNormE.defn, InnerProductSpace.adjoint_rankOne, analyticAt_smul, InnerProductSpace.rankOne_eq_zero, IsGreatest.nnnorm_cfc, fderivWithin_continuousMultilinear_apply_const_apply, BoundedContinuousFunction.toLp_injective, Unitary.instLocPathConnectedSpace, hasDerivAtFilter_neg, ContinuousMap.isUnit_iff_forall_isUnit, tsum_pow_div_one_sub_eq_tsum_sigma, AffineIsometry.linear_eq_linearIsometry, selfAdjoint.nnnorm_pow_two_pow, InnerProductSpace.inner_right_rankOne_apply, ContDiff.differentiable_iteratedFDeriv, SchwartzMap.pairing_apply, NormedSpace.analyticAt_exp_of_mem_ball, spectrum.eventually_isUnit_resolvent, meromorphicOrderAt_const_natCast, AffineIsometryEquiv.coe_ofEq_apply, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, fderivWithin_inv', AffineIsometryEquiv.vaddConst_toAffineEquiv, hasDerivWithinAt_pow, Asymptotics.isLittleO_pow_id, Ideal.IsMaximal.isClosed, PadicInt.norm_ascPochhammer_le, ContinuousLinearMap.fderivWithin_of_bilinear, AffineSubspace.isometryEquivMap.toAffineMap_eq, MeasureTheory.Lp.compMeasurePreservingₗᵢ_apply_coe, AffineSubspace.signedInfDist_eq_signedDist_of_mem, LinearMap.IsSymmetric.coe_toSelfAdjoint, MeromorphicOn.divisor_intCast, unitSphereToUnits_injective, NormedSpace.norm_expSeries_summable_of_mem_ball', spectrum.gelfand_formula, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, LinearMap.IsSymmetric.diagonalization_symm_apply, MeasureTheory.Integrable.bdd_mul, NormedSpace.inclusionInDoubleDual_norm_le, mfderiv_sub, IsSelfAdjoint.isConnected_spectrum_compl, Affine.Simplex.signedInfDist_apply_self, Real.fourier_mul_convolution_eq, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, MeasureTheory.Integrable.toL1_smul, isClosedMap_pow, LinearMap.norm_mkContinuous₂_aux, InnerProductSpace.rankOne_eq_rankOne_iff_comm, ContinuousLinearMap.derivWithin, MeasureTheory.condExp_ofNat, ContinuousLinearMap.precompR_apply, ContinuousAffineMap.norm_eq, AffineIsometry.image_intrinsicInterior, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, dist_right_midpoint, NormedSpace.exp_continuousMap_eq, iteratedDerivWithin_smul_const, MeasureTheory.hasFDerivAt_convolution_right_with_param, MeasureTheory.integral_deriv_mul_eq_sub, fderiv_pow', MeasureTheory.Lp.coeFn_smul, FormalMultilinearSeries.coeff_ofScalars, SchwartzMap.postcompCLM_apply, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, EuclideanSpace.coe_proj, summable_norm_sum_mul_range_of_summable_norm, Matrix.l2_opNNNorm_mulVec, AffineIsometryEquiv.toContinuousAffineEquiv_refl, Asymptotics.isBigO_mul_iff_isBigO_div, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, PadicSeq.lift_index_right, Submodule.norm_orthogonalProjection_apply_le, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, instPolynormableSpaceSubtypeMemSubmodule, LinearMap.deriv, PadicInt.coe_adicCompletionIntegersEquiv_symm_apply, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, continuousOn_cfc_nnreal, AffineIsometryEquiv.ofTop_symm_apply_coe, selfAdjoint.continuous_expUnitary, TensorProduct.inner_mapIncl_mapIncl, fun_iteratedFDeriv_sub, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, ContinuousMultilinearMap.instIsUniformAddGroup, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, Asymptotics.IsBigOWith.pow', Affine.Simplex.orthogonalProjectionSpan_congr, nonunits.isClosed, hasDerivAtFilter_id, fderivWithin_continuousMultilinear_apply_const, Differentiable.fun_pow, Matrix.isSymmetric_toEuclideanLin_iff, hasDerivAt_update, iteratedDeriv_fun_id, OrthonormalBasis.singleton_apply, spectrum.map_pow, RCLike.sqrt_one, HasStrictDerivAt.smul, inner_eq_sum_norm_sq_div_four, MeasureTheory.lpMeasToLpTrimLie_symm_indicator, LinearMap.IsSymmetric.restrict_invariant, AnalyticAt.fun_smul, hasFTaylorSeriesUpToOn_top_iff', Padic.comap_mulValuation_eq_padicValuation, FormalMultilinearSeries.radius_smul_eq, selfAdjoint.unitarySelfAddISMul_coe, AffineIsometryEquiv.ofEq_symm, ContinuousMap.linearIsometryBoundedOfCompact_symm_apply, deriv_const_mul_field, MeasureTheory.eLpNorm'_smul_le_mul_eLpNorm', ContinuousMap.unitsOfForallIsUnit_apply, LinearIsometry.extend_apply, Matrix.exp_nsmul, InnerProductSpace.rank_rankOne, ContMDiffOn.cle_arrowCongr, Module.Basis.coe_toOrthonormalBasis_repr_symm, NormMulClass.isAbsoluteValue_norm, Unitary.mulLeft_trans_mulLeft, Differentiable.inverse, HasFDerivWithinAt.fun_sub, Matrix.PosSemidef.eigenvalues_nonneg, IsSelfAdjoint.log, ContinuousLinearMap.adjointAux_apply, fderivWithin_fun_sub, hasSum_sum_range_mul_of_summable_norm', ContinuousAffineMap.norm_contLinear_le, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, fderivWithin_fun_mul', RCLike.add_conj, EuclideanGeometry.reflection_eq_self_iff, HasFPowerSeriesWithinOnBall.sub, analyticAt_iff_analytic_fun_mul, CFC.exp_eq_normedSpace_exp, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, RCLike.im_eq_conj_sub, IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', Submodule.toLinearMap_starProjection_eq_isComplProjection, Matrix.IsHermitian.posSemidef_iff_eigenvalues_nonneg, InnerProductSpace.rankOne_def, HasDerivAt.smul_const, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, SchwartzMap.integral_mul_laplacian_right_eq_left, Finset.norm_prod_one_add_sub_one_le, Real.spectralRadius_mem_spectrum, ContDiffWithinAt.mul, MeasureTheory.lpNorm_fun_mul_natCast, fderivWithin_fderivWithin_eq_of_mem_nhds, ContinuousMap.linearIsometryBoundedOfCompact_of_compact_toEquiv, contDiff_iff_continuous_differentiable, PadicSeq.norm_neg, spectrum.spectralRadius_lt_of_forall_lt_of_nonempty, iteratedDerivWithin_comp_three, AffineIsometry.coe_toAffineMap, fderiv_mul', Bornology.IsVonNBounded.tendsto_smallSets_nhds, iter_deriv_zpow, ContinuousMap.toLp_def, Units.instLieGroupModelWithCornersSelf, Summable.hasProdUniformlyOn_nat_one_add, DifferentiableOn.clm_comp, ftaylorSeriesWithin_zero, EuclideanGeometry.Sphere.orthogonalProjection_orthRadius_center, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, IsSelfAdjoint.cfc_arg, nndist_left_midpoint, hasFTaylorSeriesUpToOn_succ_iff_right, CStarRing.instNormOneClassOfNontrivial, ContinuousLinearMap.coe_flipMultilinearEquiv, NonUnitalAlgHom.coe_Lmul, AffineIsometryEquiv.dist_pointReflection_self, HasStrictFDerivAt.hasStrictFDerivAt_implicitFunctionOfProdDomain, SchwartzMap.compCLMOfAntilipschitz_apply, spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius, ContinuousAffineMap.hasStrictFDerivAt, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, NormedSpace.expSeries_summable', NormedSpace.norm_expSeries_summable_of_mem_ball, MeasureTheory.MemLp.const_smul, Valued.coe_valuation_eq_rankOne_hom_comp_valuation, MeasureTheory.L2.inner_indicatorConstLp_one, hasStrictFDerivAt_iff_hasStrictDerivAt, LinearMap.IsSymmetric.toSelfAdjoint_apply, Unitary.norm_sub_one_sq_eq, MeasureTheory.IntegrableOn.continuousOn_mul_of_subset, MeasureTheory.Lp.constₗ_apply, Submodule.coe_continuous_linearProjOfClosedCompl, EuclideanGeometry.orthogonalProjection_subtype, DifferentiableAt.const_mul, iteratedFDeriv_neg_apply, Submodule.coe_orthogonalDecomposition, EuclideanGeometry.two_zsmul_oangle_self_orthogonalProjection, fderivWithin_fderivWithin_eq_of_eventuallyEq, EulerProduct.eulerProduct_completely_multiplicative_tprod, DomMulAct.instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp_2, summable_prod_mul_pow, dist_right_pointReflection, Matrix.nonneg_iff_posSemidef, iteratedDeriv_mul, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDeriv_right, DifferentiableWithinAt.fun_mul, ftaylorSeries_fun_zero, ContDiffWithinAt.smul, CovariantDerivative.affine_combination_toFun, hasFDerivAt_exp_smul_const', HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Matrix.exp_zsmul, SchwartzMap.postcompCLM_postcompCLM, Submodule.norm_subtypeL, AffineSubspace.closed_of_finiteDimensional, CStarAlgebra.inv_le_inv_iff, Matrix.posDef_gram_iff_linearIndependent, SchwartzMap.smulLeftCLM_const, NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, Matrix.exp_sum_of_commute, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, AffineSubspace.toContinuousAffineMap_subtypeₐᵢ, Matrix.permMatrix_l2_opNorm_le, PadicAlgCl.instUniformContinuousConstSMulPadic, Balanced.smul_mem_mono, PadicSeq.norm_nonarchimedean, Polynomial.isProperMap_eval, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, AffineMap.hasDerivAt, Submodule.norm_sq_eq_add_norm_sq_projection, ContinuousAffineMap.contDiff, Asymptotics.IsBigOWith.eventually_mul_div_cancel, iteratedDerivWithin_zpow, HasFDerivWithinAt.fun_neg, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, Asymptotics.IsBigO.mul, Matrix.inner_toEuclideanCLM, ContinuousLinearMap.norm_precompR_le, EuclideanGeometry.orthogonalProjection_vadd_eq_self, dist_lineMap_right, hasFDerivWithinAt_pow', MeasureTheory.lpNorm_fun_natCast_mul, AffineMap.differentiableAt, PowerSeries.IsRestricted.isRestricted_iff, NormedDivisionRing.to_normOneClass, Continuous.cfc_nnreal_of_mem_nhdsSet, MeasureTheory.Lp.smul_zero, RCLike.sqrt_eq_real_add_ite, PadicInt.norm_int_le_pow_iff_dvd, Subalgebra.spectrum_eq_of_isPreconnected_compl, PiTensorProduct.liftEquiv_apply, AnalyticWithinAt.aeval_polynomial, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, fderivWithin_iteratedFDerivWithin, PadicInt.denseRange_natCast, PadicAlgCl.valuation_p, hasFDerivAtFilter_iff_hasDerivAtFilter, PadicComplex.valuation_p, AffineMap.lipschitzWith_of_finiteDimensional, Affine.Triangle.dist_orthocenter_reflection_circumcenter, isOpen_setOf_affineIndependent, finrank_euclideanSpace, Bundle.Pretrivialization.continuousOn_continuousLinearMapCoordChange, StarSubalgebra.spectrum_eq, Summable.summable_log_norm_one_add, EuclideanGeometry.oangle_orthogonalProjection_self, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, PadicSeq.not_equiv_zero_const_of_nonzero, Submodule.fst_orthogonalDecomposition_apply, lp.instSMulCommClassSubtypePreLpMemAddSubgroup, PadicComplex.norm_extends', AnalyticOn.const_smul, RCLike.one_im, nndist_midpoint_left, RCLike.toZeroLEOneClass, RCLike.natCast_re, fderivWithin_mul_const', summable_powerSeries_of_norm_lt_one, Asymptotics.isBigOWith_self_const_mul, HasDerivWithinAt.fun_smul, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, InnerProductSpace.enorm_rankOne, HasFPowerSeriesAt.hasStrictDerivAt, Submodule.orthogonalFamily_self, SchwartzMap.fourierMultiplierCLM_apply, EuclideanGeometry.dist_orthogonalProjection_eq_dist_iff_eq_of_mem, AnalyticOn.smul, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, Polynomial.cyclotomic.isCoprime_rat, hasFDerivAt_list_prod_finRange', IsSelfAdjoint.dense_domain, MeasureTheory.LocallyIntegrableOn.mul_continuousOn, summable_mul_of_summable_norm', Asymptotics.isLittleO_iff_tendsto', HasStrictFDerivAt.neg, PadicComplex.isNonarchimedean, LinearMap.hasDerivWithinAt, summable_choose_mul_geometric_of_norm_lt_one, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, Submodule.inner_orthogonalProjection_eq_of_mem_right, ContinuousMap.adjoin_id_eq_span_one_union, MeasureTheory.MemLp.mul, hasFTaylorSeriesUpTo_succ_nat_iff_right, ContinuousOn.cfc_nnreal_of_mem_nhdsSet, SpectrumRestricts.eq_zero_of_neg, SchwartzMap.compSubConstCLM_zero, NormedSpace.exp_add_of_commute_of_mem_ball, one_memℓp_infty, LinearPMap.adjoint_apply_of_not_dense, ordinaryHypergeometric_radius_top_of_neg_nat₂, lp.singleContinuousLinearMap_apply, HasDerivAt.clm_comp, EuclideanGeometry.reflection_apply_of_mem, HasFPowerSeriesOnBall.neg, Asymptotics.continuousAt_iff_isLittleO, Matrix.isStrictlyPositive_iff_posDef, CStarAlgebra.nnnorm_sub_mul_self_le, ZSpan.coe_floor_self, HasFDerivWithinAt.smul_const, Orthonormal.linearIsometryEquiv_symm_apply_single_one, nndist_midpoint_midpoint_le', Matrix.PosDef.commute_iff, MeasureTheory.LocallyIntegrableOn.smul_continuousOn, AddChar.tendsto_eval_one_sub_pow, CStarAlgebra.inv_le_one, Matrix.IsHermitian.cfcAux_apply, SchwartzMap.fourierInv_lineDerivOp_eq, NormedSpace.inclusionInDoubleDualWeak_apply, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric, dist_homothety_self, CFC.log_monotoneOn, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Affine.Simplex.orthogonalProjection_circumcenter, ContinuousMap.toLp_norm_eq_toLp_norm_coe, Matrix.ofLp_toEuclideanCLM, hasFTaylorSeriesUpToOn_succ_nat_iff_right, summable_pow_div_add, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, Absorbent.eventually_nhdsNE_zero, CStarAlgebra.inv_le_iff, NormedSpace.expSeries_div_summable, mahler_natCast_eq, Affine.Triangle.prod_dist_eq_prod_dist_of_mem_line_of_mem_line, PadicInt.coe_adicCompletionIntegersEquiv_apply, summable_descFactorial_mul_geometric_of_norm_lt_one, differentiableOn_pow, IsSelfAdjoint.norm_pow_two_pow, tsum_choose_mul_geometric_of_norm_lt_one, HasFPowerSeriesWithinAt.sub, LinearMap.IsSymmetric.orthogonalFamily_eigenspaces', hasDerivAt_exp_smul_const, CStarAlgebra.le_inv_iff, NormedSpace.algebraMap_exp_comm, Asymptotics.IsBigOWith.exists_eq_mul, fourierCoeff_toLp, IsSelfAdjoint.toReal_spectralRadius_complex_eq_norm, ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense, DifferentiableAt.fun_pow, Polynomial.tendsto_norm_atTop, IntervalIntegrable.mul_const, LinearIsometryEquiv.toSpanUnitSingleton_apply, CFC.monotone_rpow, derivWithin_mul_const_field, AddChar.wInner_cWeight_eq_one_iff_eq, Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter, iteratedDerivWithin_one_div, Polynomial.exists_forall_norm_le, iteratedFDerivWithin_two_apply', PadicInt.mahlerTerm_one, curveIntegral_fun_neg, LinearPMap.IsFormalAdjoint.le_adjoint, Matrix.instFiniteElemRealSpectrum, HasStrictFDerivAt.to_implicitFunction, inr_comp_cfcₙHom_eq_cfcₙAux, CFC.rpow_neg_one_eq_cfc_inv, NormedSpace.map_exp_of_mem_ball, unitary.norm_argSelfAdjoint, dist_self_homothety, Differentiable.mul_const, lp.infty_coeFn_pow, NormedSpace.expSeries_radius_eq_top, differentiableWithinAt_euclidean, lp.infty_smulCommClass, unitary.spectrum_subset_circle, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_exists_dist_eq, iteratedDerivWithin_fun_id, DoubleCentralizer.neg_toProd, LinearPMap.adjointDomainMkCLM_apply, Asymptotics.isBigO_const_mul_right_iff, MeasureTheory.integrable_mul_const_iff, Matrix.isPositive_toEuclideanLin_iff, nnnorm_cfc_le_iff, MeasureTheory.Integrable.bdd_smul, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, inverse_add, RCLike.re_eq_add_conj, PiTensorProduct.dualSeminorms_bounded, NormedSpace.exp_sum, CommCStarAlgebra.toStarModule, FormalMultilinearSeries.radius_neg, HasFDerivWithinAt.mul_const', CStarAlgebra.nnnorm_le_one_iff_of_nonneg, spectrum.isClosed, LinearMap.IsSymmetric.orthogonalFamily_eigenspace_inf_eigenspace, fderiv_const_mul, nonunits.subset_compl_ball, Summable.multipliableLocallyUniformlyOn_one_add, EuclideanGeometry.oangle_eq_of_dist_orthogonalProjection_eq, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, PadicInt.zmodRepr_spec, lp.instStarModuleSubtypePreLpMemAddSubgroup, NormedSpace.invOf_exp, iteratedFDerivWithin_succ_apply_left, lp.zeroBasis_apply, PadicSeq.equiv_zero_of_val_eq_of_equiv_zero, MeasureTheory.IntegrableOn.mul_continuousOn_of_subset, Real.spectralRadius_mem_spectrum_or, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, algebraMap_memℓp_infty, fderiv_pow_ring', derivWithin_pow_field, Summable.multipliableLocallyUniformlyOn_nat_one_add, NormedSpace.exp_conj', Function.HasTemperateGrowth.pow, iteratedDeriv_comp_neg, logDeriv_id, CStarRing.norm_mul_mem_unitary, unitary.two_mul_one_sub_le_norm_sub_one_sq, inverse_one_sub, HasFDerivAtFilter.fun_sub, spectrum.isBounded, inverse_add_norm, IsSelfAdjoint.sq_spectrumRestricts, MeasureTheory.MemLp.const_mul', PadicInt.norm_natCast_zmodRepr_eq_one_iff, Matrix.posDef_iff_eq_conjTranspose_mul_self, WeakDual.CharacterSpace.compContinuousMap_apply, Subalgebra.frontier_subset_frontier, hasDerivAt_id, contDiff_smul_const, HasFTaylorSeriesUpToOn.fderivWithin, deriv_update, orthonormal_subtype_iff_ite, Summable.hasProdLocallyUniformlyOn_one_add, ContDiff.smul_const, nndist_lineMap_right, continuous_cfcHomSuperset_left, EuclideanGeometry.orthogonalProjection_affineSpan_singleton, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, HasDerivWithinAt.const_mul, Summable.multipliableUniformlyOn_one_add, Asymptotics.IsBigO.const_mul_right, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, Continuous.cfc_of_mem_nhdsSet, Asymptotics.isBigOWith_iff_exists_eq_mul, PadicInt.nthHomSeq_mul, NormedSpace.exp_units_conj', norm_fderiv_iteratedFDeriv, curveIntegralFun_neg, binomialSeries_radius_eq_top_of_nat, MeasureTheory.Lp.norm_constL_le, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, Matrix.l2_opNNNorm_def, Filter.tendsto_inv₀_nhdsWithin_ne_zero, spectrum.hasDerivAt_resolvent, HasStrictFDerivAt.const_sub, Submodule.coe_inner, fderiv_sub, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, Submodule.orthogonalProjection_apply_eq_linearProjOfIsCompl, ContMDiffAt.clm_precomp, selfAdjoint.realPart_unitarySelfAddISMul, ContinuousOn.cfc_nnreal, MeasureTheory.Lp.add_smul, lp.coe_lpSubmodule, deriv_smul, PositiveLinearMap.gnsStarAlgHom_apply, iter_deriv_pow', MeasureTheory.Integrable.smul_of_top_left, cfc_integral, NormedAlgebra.toMulAlgebraNorm_apply, EuclideanGeometry.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, AffineIsometry.norm_map, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, MeasureTheory.Integrable.mul_bdd, BoundedContinuousFunction.coeFn_toLp, spectrum.nonempty, AnalyticAt.aeval_polynomial, MeasureTheory.Integrable.toL1_smul', Subalgebra.spectrum_isBounded_connectedComponentIn, AffineSubspace.isometryEquivMap.coe_apply, MeasureTheory.LocallyIntegrable.integrable_smul_left_of_hasCompactSupport, Padic.mk_eq, deriv_neg'', Submodule.sndL_comp_coe_orthogonalDecomposition, CStarAlgebra.mem_Icc_algebraMap_iff_nnnorm_le, inverse_add_norm_diff_second_order, PadicInt.limNthHom_spec, nnnorm_cfc_nnreal_lt, RCLike.ofReal_alg, derivWithin_fun_smul, HasFDerivAt.fun_pow', Unitary.openPartialHomeomorph_target, SchwartzMap.smulLeftCLM_add, Units.nnnorm_pos, HasMFDerivWithinAt.mul', CFC.rpow_le_rpow, norm_fderivWithin_iteratedFDerivWithin, summable_powerSeries_of_norm_lt, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, unitary.joined, HasStrictDerivAt.smul_const, IsSelfAdjoint.exp_nonneg, HasFiniteFPowerSeriesOnBall.neg, CStarAlgebra.one_le_inv_iff_le_one, PadicInt.continuous_addChar_of_value_at_one, DifferentiableWithinAt.smul_const, ContinuousLinearMap.le_def, AffineMap.derivWithin, spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius, intervalIntegral.integral_deriv_mul_eq_sub, nnnorm_cfc_nnreal_le, Asymptotics.isBigO_const_mul_left_iff, Matrix.PosSemidef.kronecker, LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv, RCLike.sqrt_neg_one, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, HasFDerivAt.smul_const, InnerProductSpace.rankOne_def', EuclideanGeometry.eq_or_eq_reflection_of_dist_eq, Continuous.cfc_nnreal, NormedSpace.exp_hasFPowerSeriesAt_zero, lp.lsingle_apply, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, ContinuousOn.cfc_of_mem_nhdsSet, fderiv_apply_one_eq_deriv, NormedField.tendsto_norm_inv_nhdsNE_zero_atTop, EulerProduct.eulerProduct_hasProd_mulIndicator, nnnorm_cfc_nnreal_le_iff, AnalyticAt.fun_mul, HasFPowerSeriesOnBall.sub, Submodule.norm_orthogonalProjection_apply, meromorphicTrailingCoeffAt_id_sub_const, EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection, fderiv_continuousMultilinear_apply_const_apply, PadicComplex.instIsScalarTowerPadicPadicAlgCl, Function.HasTemperateGrowth.fun_mul, DifferentiableAt.mul_const, NormedDivisionRing.to_continuousInv₀, HasStrictFDerivAt.fun_sub, algEquivComplexOfComplete_symm_apply, expUnitary_argSelfAdjoint, CauSeq.tendsto_limit, Matrix.IsHermitian.spectrum_eq_image_range, logDeriv_id', HasFDerivAt.const_mul, RCLike.isCauSeq_im, MeasureTheory.L1.setToL1_apply_coeToLp, Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev, NormedSpace.exp_nsmul, PadicInt.fwdDiff_iter_le_of_forall_le, DoubleCentralizer.sub_toProd, MeasureTheory.Integrable.mul_of_top_left, Unitary.spectrum_subset_slitPlane_iff_norm_lt_two, hasSum_geom_series_inverse, PadicInt.mem_span_pow_iff_le_valuation, HasFTaylorSeriesUpToOn.add, NormedSpace.norm_expSeries_summable', formalMultilinearSeries_geometric_eq_ofScalars, Matrix.posSemidef_gram, MDifferentiable.mul, NormedSpace.norm_expSeries_div_summable_of_mem_ball, EuclideanGeometry.dist_orthogonalProjection_eq_infNndist, DifferentiableWithinAt.clm_comp, hasSum_coe_mul_geometric_of_norm_lt_one, Metric.unitSphere.coe_inv, MDifferentiableOn.cle_arrowCongr, hasFDerivAt_exp_zero, Unitary.symm_mulRight, MeasureTheory.Integrable.const_mul', Submodule.det_reflection, selfAdjoint.star_coe_unitarySelfAddISMul, deriv_neg', fderivWithin_neg, MeasureTheory.eLpNorm_const_smul_le, Submodule.inner_orthogonalProjection_eq_of_mem_left, Units.isOpen, argSelfAdjoint_expUnitary, hasSum_choose_mul_geometric_of_norm_lt_one', CStarAlgebra.rpow_neg_one_le_rpow_neg_one, CurveIntegrable.fun_neg, AffineSubspace.subtypeₐᵢ_linear, hasStrictFDerivAt_pow', MeasureTheory.Integrable.mul_const', CauSeq.cauchySeq, Asymptotics.IsBigO.mul_isLittleO, DifferentiableWithinAt.pow, AddChar.norm_apply, CFC.log_pow', MDifferentiableAt.clm_precomp, Padic.toEquiv_withValUniformEquiv_eq_toEquiv_withValRingEquiv, MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral, NNReal.spectralRadius_mem_spectrum, LinearPMap.isSelfAdjoint_def, PadicInt.norm_intCast_eq_one_iff, DirectSum.IsInternal.subordinateOrthonormalBasis_def, SchwartzMap.compSubConstCLM_comp, summable_norm_pow_mul_geometric_div_one_sub, CStarAlgebra.mul_star_le_algebraMap_norm_sq, CFC.log_zero, Asymptotics.isEquivalent_nat_floor, NormedDivisionRing.unitClosedBall_eq_univ_of_discrete, Submodule.toLinearMap_orthogonalProjection_eq_linearProjOfIsCompl, curveIntegrable_neg_iff, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_mul, DifferentiableOn.continuousMultilinearMapCompContinuousLinearMap, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', AnalyticOnNhd.mul, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, HasDerivWithinAt.pow', HilbertBasis.repr_symm_single, Matrix.exp_conj, mdifferentiableOn_continuousLinearMapCoordChange, SpectrumRestricts.spectralRadius_eq, fderiv_deriv, PadicComplex.norm_eq_norm', ContDiffAt.hasStrictFDerivAt_implicitFunction, MeasureTheory.L1.setToL1_smul, MeasureTheory.Lp.coeFn_lpSMul, AnalyticWithinAt.pow, PadicInt.isUnit_den, upperHemicontinuous_spectrum_nnreal, continuous_barycentric_coord, PadicSeq.not_limZero_const_of_nonzero, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangent, lp.coeFn_smul, InnerProductSpace.isStarProjection_rankOne_self, RCLike.norm_natCast, Rat.padicValuation_eq_zero_iff, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, PadicInt.norm_le_pow_iff_mem_span_pow, ContinuousMap.continuous_isUnit_unit, MeasureTheory.IntegrableOn.continuousOn_mul, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, iteratedDerivWithin_pow, CStarAlgebra.inv_le_inv, hasSum_sum_range_mul_of_summable_norm, hasFDerivAt_exp_smul_const, lp.infty_coeFn_one, FormalMultilinearSeries.zero_radius, PadicInt.zmodRepr_natCast, RCLike.ofReal_intCast, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, Metric.unitSphere.coe_zpow, hasStrictFDerivAt_list_prod_attach', PadicInt.valuation_one, deriv_single, PadicInt.norm_natCast_zmodRepr_eq, hasFDerivWithinAt_euclidean, EuclideanGeometry.orthogonalProjection_eq_orthogonalProjection_iff_vsub_mem, DoubleCentralizer.sub_fst, Asymptotics.IsEquivalent.exists_eq_mul, nnnorm_cfc_le, MeasureTheory.Lp.instIsCentralScalar, isCauSeq_iff_cauchySeq, fderiv_continuousAlternatingMap_apply_apply, lp.single_smul, Submodule.starProjection_orthogonal, hasFPowerSeriesOnBall_inv_one_sub, HasFDerivWithinAt.clm_comp, Asymptotics.isLittleO_const_mul_left_iff, ContinuousLinearMap.evalL_apply, hasFPowerSeriesOnBall_inverse_one_sub, NormedSpace.expSeries_div_summable_of_mem_ball, Submodule.ClosedComplemented.of_finiteDimensional, ContinuousAffineMap.hasFDerivAtFilter, hasStrictFDerivAt_ringInverse, PadicInt.ker_toZModPow, integrable_cfc', ContDiff.smul, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, CStarAlgebra.norm_le_iff_le_algebraMap, DifferentiableOn.fun_pow, InnerProductSpace.rankOne_comp_rankOne, EuclideanGeometry.dist_eq_iff_dist_orthogonalProjection_eq, one_le_norm_one, lp.instIsCentralScalarSubtypePreLpMemAddSubgroup, parallelogram_law, AnalyticAt.hasFPowerSeriesAt, Prod.fst_exp, ContinuousMap.toLp_injective, Asymptotics.IsTheta.listProd, nnnorm_apply_le_nnnorm_cfc, Matrix.toEuclideanLin_eq_toLin, LinearMap.mkContinuous_norm_le', CFC.log_smul', CStarAlgebra.isUnit_of_le, fderiv_smul_const, Matrix.isHermitian_iff_isSymmetric, ContinuousAffineMap.hasFDerivAt, Continuous.cfc, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, IsSelfAdjoint.spectralRadius_eq_nnnorm, Polynomial.cyclotomic_eq_minpoly_rat, Matrix.IsHermitian.cfcHom_eq_cfcAux, hasStrictFDerivAt_finset_prod, fderiv_fun_neg, Matrix.finite_real_spectrum, deriv_zpow, PadicSeq.stationaryPoint_spec, InnerProductSpace.rankOne_comp, Unitary.joined, inner_eq_neg_one_iff_of_norm_eq_one, ContinuousAffineMap.norm_image_zero_le, CStarAlgebra.le_one_of_one_le_inv, DifferentiableWithinAt.fun_smul, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, lp.instIsScalarTowerPreLp, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, CircleIntegrable.const_fun_smul, Unitary.mulLeft_mul_apply, SchwartzMap.tsupport_smulLeftCLM_subset, PadicInt.hasSum_mahler, HasMFDerivAt.sub, InnerProductSpace.toMatrix_rankOne, Units.val_add, differentiableAt_euclidean, EuclideanGeometry.dist_orthogonalProjection_eq_infDist, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, dist_pointReflection_right, Asymptotics.isLittleO_iff_exists_eq_mul, EuclideanGeometry.orthogonalProjection_mem, AnalyticAt.fun_pow, MeasureTheory.Lp.instIsBoundedSMul, InnerProductSpace.isSymmetric_rankOne_self, ContinuousMap.coe_toLp, fun_iteratedFDerivWithin_sub_apply, inner_eq_one_iff_of_norm_eq_one, fderiv_const_sub, HasFPowerSeriesAt.deriv, differentiable_pow, Affine.Simplex.orthogonalProjectionSpan_restrict, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, ContDiffAt.smul_const, PadicAlgCl.valuation_def, AnalyticAt.exists_eq_sum_add_pow_mul, ContinuousMap.canLift, ContinuousLinearMap.intervalIntegral_apply, Differentiable.const_mul, iteratedDerivWithin_mul, HasFDerivWithinAt.sub, HasFDerivAtFilter.fun_neg, fderivWithin_continuousAlternatingMap_apply_apply, SchwartzMap.smulLeftCLM_neg, differentiableOn_inverse, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, CFC.nnnorm_rpow, spectrum.differentiableOn_inverse_one_sub_smul, HasFPowerSeriesAt.const_smul, algEquivComplexOfComplete_apply, MeasureTheory.MemLp.mul_const, curveIntegralFun_sub, RCLike.ofReal_one, ContinuousAffineMap.snd_decompLinearIsometryEquiv, logDeriv_inv, Matrix.exp_units_conj', DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, lp.infty_coeFn_intCast, MeasureTheory.Lp.simpleFunc.isBoundedSMul, differentiableOn_euclidean, fderiv_continuousLinearEquiv_comp, deriv_clm_comp, hasStrictFDerivAt_exp_zero_of_radius_pos, IsStarNormal.instContinuousFunctionalCalculus, DifferentiableAt.fun_smul, PadicInt.instNormOneClass, RCLike.natCast_im, tsum_prod_pow_eq_tsum_sigma, PadicAlgCl.valuation_coe, CStarAlgebra.star_mul_le_algebraMap_norm_sq, spectrum.hasFDerivAt_resolvent, MeasureTheory.Lp.zero_smul, PadicComplex.coe_zero, EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff, apply_le_nnnorm_cfc_nnreal, MeasureTheory.Integrable.smul_essSup, Unitary.toLinearEquiv_mulRight, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm', AlgHom.coe_toContinuousLinearMap, Matrix.posSemidef_iff_eq_sum_vecMulVec, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, Matrix.ofLp_toEuclideanLin_apply, ContinuousAffineMap.fderivWithin, HasDerivAt.const_mul, SchwartzMap.integralCLM_apply, MeasureTheory.lpNorm_one, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, RCLike.norm_two, EuclideanGeometry.exists_dist_eq_iff_exists_dist_orthogonalProjection_eq, HasStrictFDerivAt.hasStrictDerivAt, ContinuousMap.spectrum_eq_range, AnalyticAt.const_smul, LinearMap.mkContinuous_norm_le, AffineSubspace.linear_equivMapOfInjective, intCast_memℓp_infty, EuclideanGeometry.Sphere.IsTangentAt.eq_orthogonalProjection, fderivWithin_derivWithin, RCLike.sqrt_neg_I, HasFDerivAt.list_prod', fderiv_continuousMultilinearMapCompContinuousLinearMap, ContinuousMultilinearMap.opNorm_neg, AnalyticWithinAt.fun_pow, Affine.Triangle.dist_circumcenter_reflection_orthocenter_finset, HasDerivWithinAt.smul_const, HasFDerivAt.fun_neg, DifferentiableOn.smul, contDiff_nat_iff_continuous_differentiable, hasFDerivAt_pow', MeasureTheory.Lp.simpleFunc.coe_smul, CStarAlgebra.pow_antitone, SchwartzMap.lineDerivOp_fourierInv_eq, Asymptotics.IsBigO.exists_eq_mul, MeasureTheory.Lp.smul_def, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, iteratedDeriv_comp_const_sub, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, MeasureTheory.Lp.smul_neg, OrthonormalBasis.repr_symm_single, Unitary.two_mul_one_sub_le_norm_sub_one_sq, tendsto_tprod_one_add_of_dominated_convergence, WeakDual.CharacterSpace.norm_le_norm_one, Commute.expUnitary_add, cfcL_integral, StarSubalgebra.mem_spectrum_iff, ContinuousMap.coeFn_toLp, AffineIsometryEquiv.toAffineEquiv_injective, MemHolder.nnHolderNorm_smul, Unitary.isPathConnected_ball, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_of_symmetric, iter_deriv_inv, MeasureTheory.Integrable.integral_smul, lp.mem_lp_const_smul, hasStrictFDerivAt_exp_zero, ContinuousLinearMap.norm_compL_le, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, spectrum.algebraMap_eq_of_mem, Matrix.IsHermitian.spectrum_real_eq_range_eigenvalues, fderivWithin_clm_comp, lp.tsumCLM_apply, RCLike.sqrt_I, HasFPowerSeriesAt.sub, IntervalIntegrable.continuousOn_mul, Matrix.PosDef.kronecker, MeasureTheory.Lp.instSMulCommClass, HasStrictFDerivAt.fun_neg, hasDerivWithinAt_zpow, EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq, NormedField.v_eq_valuation, fderiv_continuousMultilinear_apply_const, HasDerivWithinAt.smul, RCLike.nnnorm_two, MeasureTheory.L1.SimpleFunc.integral_smul, DifferentiableOn.pow, iteratedDerivWithin_smul, ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv, MeasureTheory.L2.inner_indicatorConstLp_one_indicatorConstLp_one, HasDerivWithinAt.fun_pow, AffineIsometry.toContinuousAffineMap_injective, egauge_eq_zero_iff, Summable.mul_tendsto_const, iteratedDeriv_eq_iteratedFDeriv, norm_cfc_le, SchwartzMap.compCLM_apply, EuclideanGeometry.orthogonalProjection_orthogonalProjection, iter_deriv_inv', TemperedDistribution.fourierMultiplierCLM_apply_apply, WeakDual.CharacterSpace.mem_spectrum_iff_exists, analyticOn_inv, HasDerivAt.mul, ContinuousMap.toLp_comp_toContinuousMap, StarSubalgebra.to_cstarRing, AnalyticOnNhd.fun_pow, ContMDiff.clm_postcomp, EuclideanGeometry.orthogonalProjection_vsub_mem_direction, MeasureTheory.lpNorm_div_natCast, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivAt, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, PadicSeq.lift_index_left, fun_iteratedFDeriv_sub_apply, MeasureTheory.Lp.smul_comm, fderivWithin_continuousAlternatingMap_apply_const, dist_left_lineMap, CStarAlgebra.rpow_neg_one_le_one, lp.infty_coeFn_natCast, MDifferentiableWithinAt.clm_postcomp, cosetToCuspOrbit_apply_mk, MeasureTheory.AEEqFun.Integrable.smul, Affine.Simplex.orthogonalProjection_eq_circumcenter_of_dist_eq, ContDiffOn.smul, Subalgebra.isUnit_of_isUnit_val_of_eventually, deriv_smul_const, deriv_pow_field, ZSpan.repr_fract_apply, HasFPowerSeriesAt.hasDerivAt, AnalyticOnNhd.eq_zero_or_eq_zero_of_mul_eq_zero, MeasureTheory.MemLp.mul', ordinaryHypergeometricSeries_eq_zero_iff, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, spectrum.pow_norm_pow_one_div_tendsto_nhds_spectralRadius, tendsto_smul_congr_of_tendsto_left_cobounded_of_isBoundedUnder, MeasureTheory.Lp.smul_add, contDiff_mul, ContinuousLinearMap.spectralRadius_eq_nnnorm, Unitary.mulRight_apply, NormedField.tendsto_norm_zpow_nhdsNE_zero_atTop, IsSelfAdjoint.map_spectrum_real, PadicInt.norm_sub_modPart, Polynomial.X_pow_sub_X_sub_one_irreducible_rat, ContinuousLinearMap.spectrum_eq, PadicInt.norm_p, OrthonormalBasis.span_apply, isLittleO_coe_const_pow_of_one_lt, Padic.withValUniformEquiv_cast_apply, HasFDerivAt.hasDerivAt, EuclideanGeometry.vsub_orthogonalProjection_mem_direction, PadicInt.valuation_p_pow_mul, spectrum.exp_mem_exp, differentiableWithinAt_inverse, Unitary.mulRight_mul_apply, NormedSpace.exp_neg, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, Matrix.IsHermitian.cfcAux_id, ContinuousOn.cfc', DifferentiableOn.inverse, ContinuousMap.adjoin_id_eq_span_one_add, Padic.coe_withValRingEquiv, HasFPowerSeriesWithinOnBall.neg, Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection, Asymptotics.isBigO_iff_exists_eq_mul, PadicInt.fwdDiff_mahlerSeries, deriv_id, HasDerivAt.fun_smul, MeasureTheory.Lp.constL_apply, SchwartzMap.fderivCLM_fourier_eq, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, EuclideanGeometry.Sphere.orthRadius_map, PadicComplex.RankOne.hom_eq_embedding, NormedSpace.exp_smul, AffineSubspace.subtypeₐᵢ_linearIsometry, PadicInt.zmodRepr_natCast_zmodRepr, MDifferentiableOn.clm_precomp, hasDerivAt_exp_smul_const_of_mem_ball', PadicInt.pow_p_dvd_int_iff, ContinuousMap.linearIsometryBoundedOfCompact_apply_apply, Asymptotics.isEquivalent_iff_tendsto_one, hasDerivAt_neg, LinearMap.derivWithin, hasFTaylorSeriesUpToOn_succ_iff_left, HasDerivWithinAt.mul_const, Padic.isUniformInducing_cast_withVal, iteratedFDeriv_sub, deriv_const_mul, Unitary.norm_sub_eq, deriv_clm_apply, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, contDiff_smul, derivWithin_fun_pow, EuclideanGeometry.Sphere.IsTangent.isTangentAt, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, Polynomial.cyclotomic.irreducible_rat, HilbertBasis.repr_self, nnnorm_commutator_sub_one_le, PowerSeries.IsRestricted.one, fderivWithin_sub, NormedAlgebra.Real.exists_isMonicOfDegree_two_and_aeval_eq_zero, Asymptotics.IsLittleO.listProd, iteratedFDerivWithin_sub_apply, summable_pow_mul_geometric_of_norm_lt_one, Subalgebra.frontier_spectrum, BoundedContinuousFunction.coe_toContinuousMapₐ, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, ContinuousLinearMap.IsPositive.orthogonalProjection_comp, Valued.toNormedField.norm_def, HasFDerivAt.const_sub, PadicInt.p_nonunit, LinearPMap.adjointDomainMkCLMExtend_apply, PadicInt.limNthHom_one, BoundedContinuousFunction.toLp_norm_le, iteratedFDerivWithin_two_apply, NormedSpace.expSeries_div_hasSum_exp, Filter.Tendsto.cfc_nnreal, HasStrictFDerivAt.fun_smul, PadicAlgCl.charZero, iteratedDeriv_mul_const_field, curveIntegral_fun_sub, PadicComplex.norm_extends, Submodule.adjoint_orthogonalProjection, HasFDerivAt.pow', IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime, Units.val_oneSub, HasStrictFDerivAt.pow', EuclideanGeometry.reflection_apply', ContDiffWithinAt.smul_const, AffineIsometryEquiv.ofEq_rfl, ContinuousAffineMap.differentiableOn, ContinuousLinearMap.hasFDerivAt_of_bilinear, lp.infty_isScalarTower, Unitization.instNormOneClass, EuclideanGeometry.oangle_self_orthogonalProjection, ContinuousAffineMap.norm_comp_le, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, Filter.tendsto_mul_left_cobounded, HasDerivAt.div_const, Matrix.toEuclideanLin_apply_piLp_toLp, PadicSeq.add_eq_max_of_ne, hasFDerivAt_integral_of_dominated_of_fderiv_le, IntervalIntegrable.continuousOn_smul, LinearIsometry.strictConvexSpace_range_iff, HasFDerivWithinAt.smul, nnnorm_cfc_lt_iff, Affine.Simplex.altitude_map, StarSubalgebra.coe_isUnit, spectrum.spectralRadius_le_nnnorm, lp.linearMapOfLE_comp, hasDerivAt_pow, inverse_add_norm_diff_first_order, MeasureTheory.Lp.simpleFunc.toLp_smul, PadicInt.norm_sub_zmodRepr_lt_one, spectrum.isCompact_nnreal, ftaylorSeries_zero, Asymptotics.isBigO_self_const_mul, MeasureTheory.Integrable.mul_const, PadicInt.mahlerEquiv_apply, CStarAlgebra.pow_monotone, AffineIsometry.toAffineMap_injective, AffineIsometryEquiv.toAffineEquiv_refl, tsum_mul_tsum_of_summable_norm', limit_zero_of_norm_tendsto_zero, hasStrictDerivAt_exp, HasStrictFDerivAt.mul_const', nndist_lineMap_lineMap, HasDerivWithinAt.pow, MeasureTheory.eLpNorm'_const_smul_le, CFC.log_pow, MeasureTheory.Lp.neg_smul, OrderedFinpartition.norm_compAlongOrderedFinpartition_sub_compAlongOrderedFinpartition_le, AffineMap.differentiableOn, differentiableAt_pow, ContDiffWithinAt.pow, iteratedDeriv_comp_three, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, ContDiffAt.fun_smul, HasFPowerSeriesWithinAt.neg, PadicInt.isCauSeq_padicNorm_of_pow_dvd_sub, selfAdjoint.val_re_map_spectrum, LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces, fderivWithin_list_prod', logDeriv_fun_zpow, Asymptotics.IsLittleO.const_mul_right, OrthonormalBasis.inner_eq_one, Unitization.complex_cfcₙ_eq_cfc_inr, orthogonalFamily_iff_pairwise, fderiv_clm_apply, iteratedDerivWithin_id, Padic.coe_withValRingEquiv_symm, HasFiniteFPowerSeriesAt.sub, HasFDerivWithinAt.fun_mul', ContinuousLinearMap.norm_compSL_le, Matrix.IsHermitian.eigenvalues_mem_spectrum_real, BoundedContinuousFunction.toContinuousMapₐ_apply, fderivWithin_smul_const, AnalyticOn.fun_const_smul, NormMulClass.toNoZeroDivisors, NormedSpace.continuousOn_exp, Affine.Simplex.orthogonalProjectionSpan_reindex, OrthonormalBasis.coe_toBasis_repr, hasStrictFDerivAt_list_prod, Metric.unitSphere.coe_div, CFC.log_le_log, spectrum.resolvent_tendsto_cobounded, Summable.hasProdLocallyUniformlyOn_nat_one_add, InnerProductSpace.isIdempotentElem_rankOne_self_iff, Matrix.isUnit_exp, fderivWithin_continuousLinearEquiv_comp, unitary.expUnitary_eq_mul_inv, ContinuousLinearMap.IsPositive.spectrumRestricts, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, MeasureTheory.Lp.coe_LpSubmodule, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, LinearIsometry.strictConvexSpace_range, ContinuousLinearMap.opNorm_neg, PositiveLinearMap.norm_apply_le_of_nonneg, fderivWithin_pow_ring', inverse_continuousAt, Submodule.fstL_comp_coe_orthogonalDecomposition, iter_deriv_inv_linear_sub, DifferentiableOn.const_mul, Unitary.symm_mulLeft, EuclideanGeometry.orthogonalProjection_linear, MeasureTheory.lpNorm_natCast_mul, Units.val_ofNearby, DoubleCentralizer.natCast_toProd, Ideal.eq_top_of_norm_lt_one, OrthonormalBasis.sum_rankOne_eq_id, norm_apply_le_norm_cfc, LeftInvariantDerivation.evalAt_mul, absorbs_iff_eventually_nhds_zero, AffineSubspace.signedInfDist_def, MeasureTheory.HasFiniteIntegral.const_mul, iteratedDeriv_id, PadicInt.nthHomSeq_add, MeasureTheory.BoundedContinuousFunction.inner_toLp, exists_extension_norm_eq, AnalyticOn.hasFPowerSeriesOnBall, spectrum.instCompactSpaceNNReal, HasFDerivWithinAt.fun_pow', IntervalIntegrable.integral_smul, hasStrictDerivAt_exp_zero_of_radius_pos, summable_sum_mul_antidiagonal_of_summable_norm', integrable_cfc, ContinuousLinearMap.norm_smulRightL_le, IsSelfAdjoint.toReal_spectralRadius_eq_norm, derivWithin_neg, NormedSpace.expSeries_radius_pos, SchwartzMap.tsupport_derivCLM_subset, Affine.Simplex.orthogonalProjectionSpan_eulerPoint_mem_ninePointCircle, PowerSeries.IsRestricted.monomial, ContinuousAffineMap.fst_decompLinearIsometryEquiv, hasDerivAt_single, Function.HasTemperateGrowth.mul, WeakDual.Complex.instStarHomClass, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, nnnorm_cfc_nnreal_lt_iff, MDifferentiableOn.mul, orthonormal_iff_ite, hasStrictDerivAt_exp_of_mem_ball, analyticAt_mul, AffineIsometryEquiv.coe_symm_toContinuousAffineEquiv, Unitary.symm_mulRight_apply, NormedSpace.algebraMap_exp_comm_of_mem_ball, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, summable_norm_geometric_of_norm_lt_one, ContinuousAffineMap.hasFDerivWithinAt, Asymptotics.isLittleO_iff_tendsto, inner_self_eq_one_of_norm_one, HasFDerivAt.mul_const', norm_cfcHom, DifferentiableOn.mul_const, isOpenMap_barycentric_coord, Affine.Simplex.signedInfDist_affineCombination, contDiffAt_ringInverse, HasDerivAt.pow', geom_series_mul_neg, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', EuclideanGeometry.angle_self_orthogonalProjection, Valued.toNormedField.setOf_mem_integer_eq_closedBall, LinearMap.IsSymmetric.charpoly_eq, Unitary.norm_argSelfAdjoint, CFC.norm_rpow, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, spectrum.exists_nnnorm_eq_spectralRadius, ordinaryHypergeometric_radius_top_of_neg_nat₁, Units.contMDiff_val, CStarRing.norm_coe_unitary_mul, AnalyticOnNhd.aeval_polynomial, HasFPowerSeriesAt.eq_zero, PadicInt.continuousAddCharEquiv_symm_apply, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, CStarAlgebra.norm_sub_mul_self_le, continuous_descPochhammer_eval, NormedSpace.norm_expSeries_div_summable, EuclideanGeometry.orthogonalProjection_eq_self_iff, DifferentiableAt.smul_const, Padic.norm_rat_le_one_iff_padicValuation_le_one, PadicInt.norm_natCast_eq_one_iff, Unitary.mulLeft_apply, CStarAlgebra.norm_le_one_iff_of_nonneg, MeasureTheory.Lp.smul_assoc, Matrix.IsHermitian.posDef_iff_eigenvalues_pos, EuclideanGeometry.reflection_subtype, DoubleCentralizer.sub_snd, MonotoneOn.nnnorm_cfc, analyticAt_inverse_one_sub, norm_iteratedFDerivWithin_mul_le, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, ContinuousLinearEquiv.coord_norm', deriv_fun_pow, unitary.norm_sub_one_lt_two_iff, fderivWithin_continuousAlternatingMap_apply, cfc_setIntegral', OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, Rat.surjective_padicValuation, Asymptotics.IsLittleO.eventually_mul_div_cancel, hasStrictFDerivAt_inv', MeasureTheory.Integrable.smul_prod, AffineIsometryEquiv.coe_vaddConst', hasFDerivAt_exp_smul_const_of_mem_ball', SchwartzMap.smulLeftCLM_sub, Submodule.snd_orthogonalDecomposition_apply, SchwartzMap.smulLeftCLM_apply_apply, deriv_descPochhammer_eval_eq_sum_prod_range_erase, CStarRing.norm_mem_unitary_mul, Module.Basis.ofZLatticeBasis_repr_apply, analyticAt_inv_one_sub, derivWithin_id, Differentiable.mul, dist_eq, iteratedDerivWithin_const_mul, iteratedDeriv_const_mul_field, dist_midpoint_midpoint_le', iteratedDeriv_fun_pow_zero, SchwartzMap.fourier_fderivCLM_eq, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivWithinAt, hasStrictFDerivAt_exp_smul_const, AnalyticAt.mul, Units.norm_pos, derivWithin_mul, iteratedFDeriv_two_apply, AffineSubspace.isometryEquivMap.apply_symm_apply, ContDiffAt.smul, iter_deriv_inv_linear, AffineMap.differentiable, Summable.hasProdUniformlyOn_one_add, lp.zeroBasis_repr_symm_apply_coe, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, PadicInt.nthHomSeq_one, MDifferentiable.clm_precomp, PadicInt.ideal_eq_span_pow_p, IsUnit.integrable_smul_iff, hasDerivAt_exp_smul_const', dist_right_lineMap, WeakDual.CharacterSpace.compContinuousMap_comp, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, Polynomial.isBigO_cobounded_of_degree_le, RCLike.nnnorm_natCast, Unitary.symm_mulLeft_apply, lp.norm_const_smul_le, Memℓp.infty_pow, MeasureTheory.Lp.neg_smul_neg, MeasureTheory.integral_mul_deriv_eq_deriv_mul_of_integrable, Submodule.orthogonalDecomposition_apply, iteratedFDeriv_succ_eq_comp_left, ContinuousLinearMap.smul_compLpL, AddChar.wInner_cWeight_eq_boole, summable_geometric_of_norm_lt_one, unitary.isPathConnected_ball, continuousOn_cfc_nnreal_setProd, EuclideanSpace.restrict₂_apply, NormedAlgebra.Complex.nonempty_algEquiv, PadicSeq.norm_const, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, NormedCommRing.mul_comm, ContinuousLinearMap.opNorm_mulLeftRight_le, Polynomial.cauchyBound_X_sub_C, DoubleCentralizer.intCast_fst, meromorphicOrderAt_const_intCast, PadicSeq.norm_one, Memℓp.const_mul, unitary.norm_sub_one_sq_eq, nnnorm_cfcHom, integrableOn_cfc, CFC.log_one, ContMDiffWithinAt.clm_precomp, inverse_one_sub_nth_order', NormedSpace.exp_add_of_commute, WeakDual.CharacterSpace.equivAlgHom_symm_coe, continuousOn_cfc, ProbabilityTheory.IndepFun.integrable_mul, AffineIsometryEquiv.norm_map, Asymptotics.IsLittleO.mul_isBigO, hasStrictFDerivAt_list_prod', spectrum.mem_resolventSet_of_norm_lt, EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal, Prod.snd_exp, Asymptotics.IsEquivalent.listProd, iteratedFDeriv_sub_apply, closure_diff_intrinsicInterior, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, HasStrictFDerivAt.smul_const, ContinuousLinearEquiv.coord_self, ContinuousLinearMap.compContinuousAlternatingMapCLM_apply_apply, SchwartzMap.smulLeftCLM_ofReal, ContDiffAt.differentiableAt_iteratedFDeriv, Asymptotics.IsBigO.pow, spectralValue_eq_zero_iff, MeasureTheory.Integrable.smul_const, ContinuousLinearEquiv.coord_norm, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, MeasureTheory.lpNorm_one', tendsto_intCast_atTop_cobounded, MeasureTheory.L1.integral_eq', NormedSpace.isUnit_exp, PadicInt.continuousAddCharEquiv_apply, CStarAlgebra.norm_mem_spectrum_of_nonneg, summable_norm_sum_mul_antidiagonal_of_summable_norm, LinearPMap.mem_adjoint_domain_iff, unitary.norm_argSelfAdjoint_le_pi, spectrum.hasDerivAt_resolvent_const_right, summable_norm_pow_mul_geometric_of_norm_lt_one, ContMDiff.clm_precomp, PadicInt.complete, EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace, NormedSpace.expSeries_hasSum_exp_of_mem_ball', EuclideanGeometry.orthogonalProjection_apply, IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, hasFDerivAt_exp_zero_of_radius_pos, PadicInt.denseRange_intCast, CFC.log_exp, OrthonormalBasis.coe_singleton, ContinuousLinearMap.hasDerivWithinAt, Submodule.norm_orthogonalProjection, lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup, PadicComplex.nnnorm_extends', prod_vanishing_of_summable_norm, iteratedDeriv_fun_mul, Unitary.toLinearEquiv_mulLeft, AffineSubspace.signedInfDist_apply_self, EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection, CFC.log_algebraMap, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, EuclideanGeometry.orthogonalProjection_mem_orthogonal, PadicSeq.norm_zero_iff, inverse_add_nth_order, Filter.tendsto_mul_right_cobounded, analyticOnNhd_inv, hasDerivAt_exp_zero, Unitary.norm_argSelfAdjoint_le_pi, DifferentiableAt.pow, NormedSpace.double_dual_bound, Matrix.cstar_norm_def, CStarAlgebra.toStarModule, AffineIsometryEquiv.toAffineEquiv_symm, SchwartzMap.smulLeftCLM_apply, ZSpan.repr_floor_apply, HasFTaylorSeriesUpTo.fderiv, MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul, ContinuousLinearMap.rayleighQuotient_neg_apply, Filter.tendsto_inv₀_nhdsNE_zero, lipschitzWith_lineMap, NormedSpace.exp_add_of_mem_ball, isLittleO_pow_const_const_pow_of_one_lt, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, NormedField.valuation_apply, MeasureTheory.integral_mul_deriv_eq_deriv_mul, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, IsStrictlyPositive.add_nonneg, hasStrictDerivAt_id, curveIntegral_sub, Matrix.IsHermitian.charpoly_eq, HasFDerivWithinAt.mul', AnalyticAt.pow, TemperedDistribution.derivCLM_apply_apply, EuclideanGeometry.two_zsmul_oangle_orthogonalProjection_self, MeasureTheory.L1.setToL1'_eq_setToL1SCLM, deriv_neg, AffineIsometryEquiv.toContinuousAffineEquiv_injective, DifferentiableAt.fun_mul, ContinuousLinearMap.finite_dimensional_eigenspace, dist_midpoint_left, LinearPMap.mem_adjoint_domain_of_exists, spectrum.hasDerivAt_resolvent_const_left, LinearMap.hasDerivAt, deriv_mul, IsCovariantDerivativeOn.affine_combination, NormedSpace.exp_analytic, LinearMap.hasDerivAtFilter, IsStarNormal.instIsometricContinuousFunctionalCalculus, CurveIntegrable.sub, deriv_pow', NormedSpace.exp_sum_of_commute, AnalyticOnNhd.pow, PadicInt.unitCoeff_spec, HasFPowerSeriesAt.locally_zero_iff, MeasureTheory.IntegrableOn.continuousOn_smul_of_subset, DifferentiableWithinAt.mul_const, PadicInt.norm_natCast_zmodRepr_eq_iff, AnalyticOnNhd.fun_const_smul, ContinuousAt.cfc_nnreal, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, hasDerivAt_exp_of_mem_ball, fderivWithin_mul', hasStrictDerivAt_exp_smul_const_of_mem_ball, HasStrictFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Unitary.openPartialHomeomorph_apply, lp.instSMulCommClassPreLp, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivWithinAt, AffineSubspace.equivMapOfInjective_toFun, ordinaryHypergeometricSeries_norm_div_succ_norm, Unitary.argSelfAdjoint_coe, ContinuousWithinAt.cfc, nndist_right_midpoint, MeasureTheory.ContinuousMap.inner_toLp, EuclideanGeometry.orthogonalProjection_sup_of_orthogonalProjection_eq, hasFDerivAt_inv', Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter, Matrix.IsStrictlyPositive.posDef, HasDerivAt.fun_mul, Matrix.exp_units_conj, inner_eq_one_iff_of_norm_one, exists_continuousLinearEquiv_fderiv_symm_eq, HasDerivAt.smul, Units.isOpenEmbedding_val, FormalMultilinearSeries.rightInv_coeff, NormedSpace.exp_units_conj, hasDerivAt_zpow, tangentConeAt_eq_univ, Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl, EuclideanGeometry.coe_orthogonalProjection_eq_iff_mem, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, mfderiv_neg, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, ContDiffOn.differentiableOn_iteratedFDerivWithin, NormedSpace.expSeries_summable_of_mem_ball', differentiableAt_inverse, Matrix.l2_opNorm_def, spectrum.map_polynomial_aeval, AnalyticOn.fun_pow, PadicSeq.stationary, Asymptotics.isLittleO_pow_pow_cobounded_of_lt, MeasureTheory.IntegrableOn.mul_continuousOn, HasFiniteFPowerSeriesOnBall.sub, Matrix.toEuclideanLin_toLp, ContDiffOn.fun_smul, ContinuousLinearMap.holderL_apply_apply, ContDiffOn.mul, IsStrictlyPositive.of_le, ZSpan.coe_fract_self, CauchySeq.isCauSeq, MeasureTheory.hasFiniteIntegral_smul_iff, AffineMap.antilipschitzWith_of_finiteDimensional, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, AnalyticOn.mul, AffineSubspace.subtypeₐᵢ_toAffineMap, BoundedContinuousFunction.separatesPoints_charPoly, MeasureTheory.LocallyIntegrableOn.continuousOn_smul, HasStrictFDerivAt.sub, ContMDiffWithinAt.cle_arrowCongr, ContinuousWithinAt.cfc_nnreal, CStarAlgebra.exists_sum_four_unitary, antilipschitzWith_lineMap, Submodule.starProjection_coe_eq_isCompl_projection, HasFDerivAt.neg, RCLike.normSq_one, Units.chartAt_source, AffineMap.deriv, Submodule.ClosedComplemented.of_quotient_finiteDimensional, isLittleO_pow_const_mul_const_pow_const_pow_of_norm_lt, AnalyticOnNhd.const_smul, Summable.multipliableUniformlyOn_nat_one_add, IsSelfAdjoint.le_algebraMap_norm_self, ContinuousLinearMap.apply_apply', PadicComplex.nnnorm_extends, LinearMap.posSemidef_toMatrix_iff, fderiv_list_prod', SchwartzMap.fourier_convolution, tendsto_intCast_atBot_cobounded, PadicInt.coe_dpow_eq, HasMFDerivAt.mul', RCLike.charZero_rclike, Asymptotics.IsBigOWith.mul, cfcHom_eq_of_isStarNormal, fderivWithin_clm_apply, exists_continuousLinearEquiv_fderivWithin_symm_eq, spectrum.spectralRadius_le_pow_nnnorm_pow_one_div, eHolderNorm_smul, NormedSpace.exp_mem_unitary_of_mem_skewAdjoint, MDifferentiableWithinAt.pow, hasFDerivAt_exp, RCLike.isCauSeq_re, deriv_mul_const_field', fderiv_continuousAlternatingMap_apply_const_apply, Differentiable.smul_const, ZSpan.mem_fundamentalDomain, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, PadicInt.norm_natCast_p_sub_one, Asymptotics.isLittleO_mul_iff_isLittleO_div, CFC.real_exp_eq_normedSpace_exp, Submodule.IsCompl.projection_isSymmetric_iff, CFC.continuousOn_rpow, PadicInt.prime_p, upperHemicontinuous_spectrum, Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset, RKHS.posSemidef_kernel, Asymptotics.IsLittleO.exists_eq_mul, BoundedContinuousFunction.range_toLp, Submodule.norm_subtypeL_le, ContinuousLinearMap.hasStrictDerivAt, AffineIsometry.coe_toContinuousAffineMap, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, HasStrictFDerivAt.clm_comp, ContinuousMap.isUnit_iff_forall_ne_zero, CStarRing.norm_one, ContinuousMap.linearIsometryBoundedOfCompact_toIsometryEquiv, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, logDeriv_pow, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, derivWithin_pow, HasFDerivAt.fun_mul', constFormalMultilinearSeries_zero, EuclideanGeometry.dist_orthogonalProjection_line_eq_iff_two_zsmul_oangle_eq, ContinuousMultilinearMap.instIsTopologicalAddGroup, Ring.inverse_exp, LinearPMap.adjointAux_inner, AffineIsometry.image_intrinsicFrontier, one_le_nnnorm_one, EuclideanGeometry.orthogonalProjection_eq_iff_mem, Summable.mul_norm, unitary.mem_pathComponentOne_iff, nndist_self_homothety, EuclideanGeometry.dist_orthogonalProjection_line_eq_of_two_zsmul_oangle_eq, derivWithin_smul_const, PadicSeq.norm_mul, spectrum.subset_circle_of_unitary, Submodule.orthogonalProjection_coe_eq_linearProjOfIsCompl, spectrum.subset_closedBall_norm, MeasureTheory.L1.setToL1'_apply_coeToLp, RCLike.I_mul_I_of_nonzero, derivWithin_const_mul_field, ContinuousLinearMap.norm_precompL_le, Padic.const_equiv, Differentiable.smul, Units.isOpenMap_val, ContinuousLinearMap.apply_apply, intrinsicClosure_eq_closure, RCLike.span_one_I, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, iteratedFDeriv_neg, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, ContinuousMultilinearMap.compContinuousLinearMapContinuousMultilinear_apply_apply, IsSymmSndFDerivWithinAt.eq, fderivWithin_restrictScalars_comp, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm', PowerSeries.IsRestricted.C, hasDerivAt_exp_smul_const_of_mem_ball, analyticAt_inverse, MeasureTheory.lpMeasToLpTrimLie_symm_toLp, MeasureTheory.integral_Iic_deriv_mul_eq_sub, hasMellin_const_smul, hasStrictDerivAt_exp_zero, Submodule.orthogonalProjection_norm_le, HasFDerivAt.mul', toRingNorm_apply, DoubleCentralizer.intCast_toProd, ContinuousAffineMap.differentiableAt, Matrix.PosDef.posDef_sqrt, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, ContDiff.fun_smul, derivWithin_clm_apply, CStarRing.norm_coe_unitary, RCLike.intCast_im, ContinuousMap.idealOfSet_ofIdeal_eq_closure, finrank_euclideanSpace_fin, MeasureTheory.MemLp.toLp_const_smul, continuousFunctionalCalculus_map_id, coe_algEquiv_lpBCF, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, CStarAlgebra.nnnorm_le_natCast_iff_of_nonneg, hasFDerivAt_list_prod_attach', iteratedDerivWithin_mul_const_field, CFC.conjugate_rpow_neg_one_half, MeasureTheory.IntegrableOn.smul_continuousOn_of_subset, geom_series_eq_inverse, MeasureTheory.norm_condExpL2_le_one, CStarAlgebra.inv_le_one_iff_one_le, Padic.isDenseInducing_cast_withVal, logDeriv_zpow, Polynomial.supNorm_eq_zero_iff, Matrix.IsHermitian.star_eigenvectorUnitary_mulVec, InnerProductSpace.symm_toEuclideanLin_rankOne, CFC.log_smul, NormedSpace.expSeries_hasSum_exp_of_mem_ball, AffineIsometry.id_toAffineMap, ContMDiffAt.cle_arrowCongr, HasFDerivAt.clm_comp, PadicInt.zmodRepr_natCast_of_lt, EuclideanGeometry.reflection_mem_of_le_of_mem, DifferentiableWithinAt.smul, MDifferentiableOn.pow, CStarAlgebra.span_unitary, EuclideanGeometry.Sphere.dist_orthogonalProjection_eq_radius_iff_isTangentAt, binomialSeries_radius_ge_one, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, nndist_homothety_self, Submodule.orthogonalProjection_eq_linearProjOfIsCompl, EuclideanGeometry.reflection_apply, LinearPMap.adjoint_apply_of_dense, CFC.complex_exp_eq_normedSpace_exp, le_iff_norm_sqrt_mul_rpow, BoundedContinuousFunction.toLp_denseRange, lp.instIsScalarTowerSubtypePreLpMemAddSubgroup, Unitary.path_apply, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, SpectrumRestricts.nnreal_iff_nnnorm, unitary.two_mul_one_sub_cos_norm_argSelfAdjoint, Unitary.spectrum_subset_circle, PadicInt.existsUnique_mem_range, Submodule.coe_prodEquivOfClosedCompl, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, HasFDerivAt.smul, isOpen_setOf_nat_le_rank, SchwartzMap.smulLeftCLM_smul, CurveIntegrable.neg, PadicInt.toZMod_spec, EuclideanGeometry.dist_set_eq_iff_dist_orthogonalProjection_eq, isUnit_one_sub_of_norm_lt_one, Matrix.IsHermitian.instContinuousFunctionalCalculus, hasStrictDerivAt_pow, cfc_setIntegral, differentiableOn_inv, PadicComplexInt.integers, Matrix.posSemidef_iff_isHermitian_and_spectrum_nonneg, hasFDerivAt_exp_of_mem_ball, LinearMap.exists_map_addHaar_eq_smul_addHaar', MeasureTheory.eLpNorm_smul_le_eLpNorm_top_mul_eLpNorm, Ideal.IsMaximal.closure_eq, NormedSpace.dual_def, HasFDerivAtFilter.hasDerivAtFilter, AffineMap.isOpenMap, Commute.expUnitary, MeasureTheory.Lp_toLp_restrict_smul, LinearMap.IsSymmetric.orthogonalFamily_iInf_eigenspaces, ContinuousMap.idealOpensGI_choice, WeakDual.CharacterSpace.instStarHomClass, Submodule.ClosedComplemented.of_isCompl_isClosed, TensorProduct.toLinearMap_mapInclIsometry, SpectrumRestricts.nnreal_add, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm, spectrum.mem_resolventSet_of_norm_lt_mul, Filter.tendsto_inv₀_cobounded', LinearPMap.adjoint_graph_eq_graph_adjoint, SchwartzMap.integral_mul_lineDerivOp_right_eq_neg_left, PadicInt.zmodRepr_eq_zero_iff_dvd, orthonormal_span, norm_cfc_lt, Pi.exp_def, TensorProduct.lidIsometry_symm_apply, Balanced.smul_mono, ContinuousLinearMap.toSesqForm_apply_norm_le, PiTensorProduct.injectiveSeminorm_def, ContMDiff.cle_arrowCongr, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, dist_lineMap_lineMap, derivWithin_fun_pow', cfc_integral', DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, HasCompactSupport.hasFDerivAt_convolution_left, PadicSeq.eq_zero_iff_equiv_zero, Submodule.coe_prodEquivOfClosedCompl_symm, selfAdjoint.expUnitary_coe, intervalIntegral.integral_const_mul, MeasureTheory.Integrable.smul_of_top_right, TemperedDistribution.smulLeftCLM_apply_apply, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, nndist_lineMap_left, ContDiff.mul, PadicComplex.isAlgClosed, DifferentiableOn.fun_smul, derivWithin_pow', OrthonormalBasis.inner_eq_ite, HasStrictFDerivAt.smul, IntervalIntegrable.const_mul, IsSelfAdjoint.nnnorm_pow_two_pow, iter_deriv_pow, Rat.padicValuation_le_one_iff, PowerSeries.IsRestricted.zero, InnerProductSpace.norm_rankOne, IsStrictlyPositive.nonneg_add, HasFDerivAt.fun_sub, Nonneg.instIsometricContinuousFunctionalCalculus, hasFDerivAt_integral_of_dominated_loc_of_lip, tendsto_smul_comp_nat_floor_of_tendsto_nsmul, Submodule.isHilbertSumOrthogonal, DoubleCentralizer.neg_fst, Units.chartAt_apply, MDifferentiable.pow, AnalyticWithinAt.mul, AnalyticWithinAt.smul, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, MeasureTheory.eLpNorm_smul_le_eLpNorm_mul_eLpNorm_top, ContinuousLinearMap.flipAlternating_apply_apply, Metric.sphere.instIsTopologicalGroup, lp.ext_continuousLinearMap_iff, hasStrictFDerivAt_exp_smul_const_of_mem_ball, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, norm_mul_le, derivWithin_const_mul, selfAdjoint.joined_one_expUnitary, NormedSpace.exp_add, ContDiffAt.mul, EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self, PadicInt.addChar_of_value_at_one_def, HasStrictFDerivAt.implicitToOpenPartialHomeomorphOfComplemented_apply, AffineMap.continuous_of_finiteDimensional, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, le_iff_norm_sqrt_mul_sqrt_inv, niven_fract_angle_div_pi_eq, HasFDerivWithinAt.list_prod', fderiv_inv', unitary.continuousOn_argSelfAdjoint, Matrix.permMatrix_l2_opNorm_eq, natCast_memℓp_infty, unitary.spectrum_subset_slitPlane_iff_norm_lt_two, Unitary.mulRight_one, AffineIsometryEquiv.coe_toAffineEquiv, Affine.Triangle.dist_orthogonalProjectionSpan_faceOpposite_eq_iff_two_zsmul_oangle_eq, Pi.coe_exp, Asymptotics.IsBigOWith.const_mul_right, MeasureTheory.L1.SimpleFunc.setToL1S_smul, AlgHom.norm_apply_le_self_mul_norm_one, fderivWithin_pow', AffineIsometryEquiv.coe_toContinuousAffineEquiv, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, tendsto_natCast_atTop_cobounded, PadicInt.norm_natCast_lt_one_iff, Unitary.two_mul_one_sub_cos_norm_argSelfAdjoint, HasStrictDerivAt.fun_pow
toSeminormedRing 📖	CompOp	906 math math: Unitary.openPartialHomeomorph_source, absorbent_iff_eventually_nhdsNE_zero, ContinuousMap.toLp_inj, HasStrictDerivAt.fun_pow', NormedSpace.exp_neg_of_mem_ball, NormedSpace.exp_continuous, HasStrictFDerivAt.fun_mul', unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasSum_geometric_of_norm_lt_one, IsStarNormal.spectralRadius_eq_nnnorm, MeasureTheory.Integrable.bdd_mul', Bornology.isVonNBounded_iff_tendsto_smallSets_nhds, PowerSeries.IsRestricted.smul, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, inverse_one_sub_norm, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, AnalyticOn.aeval_polynomial, TendstoLocallyUniformlyOn.div₀, CStarAlgebra.mem_Icc_algebraMap_iff_norm_le, NormedSpace.exp_zsmul, derivWithin_smul, MeasureTheory.MemLp.const_mul, hasStrictFDerivAt_list_prod_finRange', Filter.Tendsto.cfc, Subalgebra.spectrum_sUnion_connectedComponentIn, ContMDiffMap.coeFnAlgHom_apply, NormedSpace.expSeries_summable_of_mem_ball, iteratedDerivWithin_const_mul_field, nnnorm_cfc_lt, HasDerivWithinAt.div_const, fderivWithin_fun_smul, PositiveLinearMap.apply_le_of_isSelfAdjoint, TendstoLocallyUniformlyOn.inv₀, Filter.Tendsto.exp, Absorbs.eventually_nhds_zero, BoundedContinuousFunction.algebraMap_apply, spectrum.subset_closedBall_norm_mul, spectrum.instCompactSpace, geom_series_mul_shift, DifferentiableAt.mul, MeasureTheory.Lp.const_smul_mem_Lp, Polynomial.isLittleO_cobounded_of_degree_lt, CFC.tendsto_cfc_rpow_sub_one_log, hasSum_choose_mul_geometric_of_norm_lt_one, derivWithin_mul_const, tsum_coe_mul_geometric_of_norm_lt_one', NormedSpace.invOf_exp_of_mem_ball, Function.HasTemperateGrowth.fun_pow, Filter.inv_nhdsWithin_ne_zero, ordinaryHypergeometric_radius_top_of_neg_nat₃, DifferentiableAt.fun_inv, tendsto_zpow_nhdsNE_zero_cobounded, integrableOn_cfc', ContinuousMap.toLp_denseRange, AnalyticWithinAt.fun_zpow, Unitary.mem_pathComponentOne_iff, norm_iteratedFDeriv_mul_le, fderivWithin_fun_pow', norm_cfc_lt_iff, Quaternion.continuous_imI, analyticOnNhd_inverse, Units.nhds, HasFPowerSeriesWithinAt.const_smul, MeasureTheory.MemLp.integrable_mul, tendsto_smul_comp_nat_floor_of_tendsto_mul, ContinuousMap.range_toLp, deriv_mul_const_field, selfAdjoint.expUnitaryPathToOne_apply, inverse_add_norm_diff_nth_order, Unitary.continuousOn_argSelfAdjoint, deriv_fun_pow', MDifferentiableWithinAt.mul, CStarAlgebra.norm_or_neg_norm_mem_spectrum, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivAt, StarAlgebra.elemental.characterSpaceToSpectrum_coe, tsum_choose_mul_geometric_of_norm_lt_one', ContDiff.pow, deriv_mul_const, Bornology.isVonNBounded_pi_iff, hasSum_coe_mul_geometric_of_norm_lt_one', isUltrametricDist_iff_forall_norm_natCast_le_one, tsum_coe_mul_geometric_of_norm_lt_one, ContinuousAt.cfc, Differentiable.fun_inv, Filter.map_mul_left_cobounded, NormedSpace.isUnit_exp_of_mem_ball, balancedCoreAux_maximal, HasStrictDerivAt.pow', MeasureTheory.Integrable.mul_prod, iteratedDeriv_div_const, differentiableWithinAt_inv, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, analyticAt_iff_analytic_mul, CFC.exp_log, NormedSpace.exp_series_hasSum_exp', DifferentiableOn.fun_mul, HasStrictFDerivAt.mul', hasStrictFDerivAt_exp_smul_const_of_mem_ball', DifferentiableWithinAt.inverse, fderiv_fun_smul, AnalyticOn.fun_inv, norm_cfc_le_iff, derivWithin_fun_mul, TendstoLocallyUniformlyOn.fun_inv₀_of_disjoint, MeasureTheory.integrable_const_mul_iff, HasStrictFDerivAt.const_mul, ContinuousLinearMap.smul_compLp, TendstoLocallyUniformly.fun_inv₀, fderiv_fun_pow', Continuous.cfc', gelfandStarTransform_naturality, summable_sum_mul_range_of_summable_norm', Filter.map_mul_right_cobounded, Filter.inv_nhdsNE_zero, TendstoLocallyUniformlyOn.fun_div₀, HasFDerivWithinAt.const_mul, ContinuousMap.toLp_norm_le, HasSummableGeomSeries.summable_geometric_of_norm_lt_one, tsum_geometric_of_norm_lt_one, FormalMultilinearSeries.radius_le_smul, dist_inv_inv₀, Function.update_exp, tendsto_norm_inv_nhdsNE_zero_atTop, formalMultilinearSeries_geometric_apply_norm_le, Absorbs.eventually_nhdsNE_zero, spectrum.isOpen_resolventSet, NormedSpace.map_exp, Continuous.cfc_nnreal', HasFPowerSeriesOnBall.const_smul, spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div, IntervalIntegrable.mul_continuousOn, inverse_one_sub_nth_order, ordinaryHypergeometricSeries_radius_eq_one, Polynomial.isEquivalent_cobounded_leading_monomial, fderivWithin_const_mul, DifferentiableOn.mul, AnalyticOn.pow, HasDerivAt.fun_pow', Unitization.dist_inr, CFC.continuousOn_log, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, NormedSpace.expSeries_summable, BoundedContinuousFunction.coe_toContinuousMapStarₐ, cfcL_integrable, iteratedDerivWithin_mul_const, ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, binomialSeries_radius_eq_one, MeasureTheory.LocallyIntegrableOn.continuousOn_mul, deriv_fun_mul, ContDiffOn.pow, MeasureTheory.Integrable.const_mul, MeasureTheory.integral_Ioi_deriv_mul_eq_sub, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, iteratedDeriv_smul_const, Asymptotics.IsLittleO.tendsto_div_nhds_zero, ContinuousOn.cfc, HasStrictFDerivAt.list_prod', hasStrictDerivAt_exp_smul_const, geom_series_succ, Asymptotics.isLittleO_pow_pow, hasStrictDerivAt_exp_smul_const', iteratedDeriv_const_mul, MDifferentiableAt.mul, uniqueDiffWithinAt_iff_accPt, tsum_geometric_le_of_norm_lt_one, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, UnitAddTorus.mFourierCoeff_toLp, MDifferentiableAt.pow, MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul, Differentiable.pow, balancedCore_mem_nhds_zero, deriv_fun_smul, HasStrictDerivAt.mul, Bornology.isVonNBounded_iff_absorbing_le, summable_mul_of_summable_norm, Matrix.exp_add_of_commute, Asymptotics.isBigO_pow_pow_cobounded_of_le, HasStrictDerivAt.const_mul, Unitary.openPartialHomeomorph_symm_apply, intervalIntegral.integral_mul_deriv_eq_deriv_mul, hasFDerivAt_ringInverse, Filter.inv_cobounded₀, DifferentiableWithinAt.mul, fderiv_smul, MeasureTheory.Integrable.mul_of_top_right, ContinuousMap.spectrum_eq_preimage_range, HasDerivWithinAt.fun_pow', DifferentiableWithinAt.const_mul, Unitary.norm_sub_one_lt_two_iff, differentiableWithinAt_pow, NormedSpace.norm_expSeries_summable, DifferentiableWithinAt.fun_pow, spectrum.isCompact, tsum_mul_tsum_of_summable_norm, IsUltrametricDist.isUltrametricDist_of_forall_norm_sub_one_of_norm_le_one, subset_balancedCore, nndist_inv_inv₀, CStarAlgebra.nnnorm_le_iff_of_nonneg, ContDiffAt.pow, Polynomial.isClosedMap_eval, DifferentiableAt.inverse, continuousOn_cfc_setProd, fderiv_mul_const', spectrum.spectralRadius_lt_of_forall_lt, IsGreatest.norm_cfc, AnalyticOn.fun_zpow, NormedSpace.exp_conj, IsSelfAdjoint.neg_algebraMap_norm_le_self, mul_neg_geom_series, deriv_const_mul_field', unitSphereToUnits_apply_coe, HasFDerivWithinAt.fun_smul, IsUltrametricDist.isUltrametricDist_of_forall_pow_norm_le_nsmul_pow_max_one_norm, IsUltrametricDist.isUltrametricDist_of_forall_norm_add_one_le_max_norm_one, Filter.tendsto_inv₀_cobounded, tendsto_intCast_atBot_sup_atTop_cobounded, Unitization.cobounded_eq_aux, NormedSpace.expSeries_hasSum_exp, WeakDual.CharacterSpace.homeoEval_naturality, IsSelfAdjoint.val_re_map_spectrum, HasDerivWithinAt.mul, absorbs_iff_eventually_nhdsNE_zero, Units.instIsManifoldModelWithCornersSelf, fderiv_inverse, hasStrictFDerivAt_exp_smul_const', BoundedContinuousFunction.toLp_inj, analyticAt_smul, IsGreatest.nnnorm_cfc, BoundedContinuousFunction.toLp_injective, Unitary.instLocPathConnectedSpace, AnalyticWithinAt.inv, ContinuousMap.isUnit_iff_forall_isUnit, NormedSpace.analyticAt_exp_of_mem_ball, spectrum.eventually_isUnit_resolvent, fderivWithin_inv', Asymptotics.isLittleO_pow_id, Ideal.IsMaximal.isClosed, Quaternion.expSeries_odd_of_imaginary, unitSphereToUnits_injective, NormedSpace.norm_expSeries_summable_of_mem_ball', derivWithin_div_const, spectrum.gelfand_formula, iteratedFDerivWithin_smul_const_apply, MeasureTheory.Integrable.bdd_mul, IsSelfAdjoint.isConnected_spectrum_compl, Quaternion.continuous_imJ, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, isClosedMap_pow, UniformContinuousOn.fun_inv₀, NormedSpace.exp_continuousMap_eq, iteratedDerivWithin_smul_const, DifferentiableOn.inv, MeasureTheory.integral_deriv_mul_eq_sub, fderiv_pow', summable_norm_sum_mul_range_of_summable_norm, nhds_basis_balanced, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, Quaternion.instCompleteSpaceReal, continuousOn_cfc_nnreal, selfAdjoint.continuous_expUnitary, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, cfcHom_integral, nonunits.isClosed, Differentiable.fun_pow, spectrum.map_pow, FormalMultilinearSeries.radius_smul_eq, selfAdjoint.unitarySelfAddISMul_coe, ContinuousMap.linearIsometryBoundedOfCompact_symm_apply, deriv_const_mul_field, ContinuousMap.unitsOfForallIsUnit_apply, Matrix.exp_nsmul, Differentiable.inverse, IsometricContinuousFunctionalCalculus.toNonUnital, DifferentiableOn.div_const, AlgHom.instContinuousLinearMapClassOfAlgHomClass, hasSum_sum_range_mul_of_summable_norm', fderivWithin_fun_mul', analyticAt_iff_analytic_fun_mul, CFC.exp_eq_normedSpace_exp, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, Real.spectralRadius_mem_spectrum, ContDiffWithinAt.mul, ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul, ContinuousMap.linearIsometryBoundedOfCompact_of_compact_toEquiv, spectrum.spectralRadius_lt_of_forall_lt_of_nonempty, fderiv_mul', IsUltrametricDist.of_normedAlgebra, Bornology.IsVonNBounded.tendsto_smallSets_nhds, ContinuousMap.toLp_def, Units.instLieGroupModelWithCornersSelf, HasStrictDerivAt.mul_const, IsSelfAdjoint.cfc_arg, spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius, NormedSpace.expSeries_summable', NormedSpace.norm_expSeries_summable_of_mem_ball, MeasureTheory.IntegrableOn.continuousOn_mul_of_subset, DifferentiableAt.const_mul, iteratedDeriv_mul, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDeriv_right, DifferentiableWithinAt.fun_mul, AnalyticOn.zpow_nonneg, hasFDerivAt_exp_smul_const', Quaternion.exp_of_re_eq_zero, NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, Matrix.exp_sum_of_commute, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, Polynomial.isProperMap_eval, Quaternion.re_exp, hasFDerivWithinAt_pow', Continuous.cfc_nnreal_of_mem_nhdsSet, Subalgebra.spectrum_eq_of_isPreconnected_compl, AnalyticWithinAt.aeval_polynomial, StarSubalgebra.spectrum_eq, fderivWithin_mul_const', summable_powerSeries_of_norm_lt_one, fderivWithin_smul, AnalyticWithinAt.fun_inv, CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, UniformContinuousOn.inv₀, hasFDerivAt_list_prod_finRange', MeasureTheory.LocallyIntegrableOn.mul_continuousOn, summable_mul_of_summable_norm', Asymptotics.isLittleO_iff_tendsto', summable_choose_mul_geometric_of_norm_lt_one, MeasureTheory.MemLp.mul, ContinuousOn.cfc_nnreal_of_mem_nhdsSet, NormedSpace.exp_add_of_commute_of_mem_ball, ordinaryHypergeometric_radius_top_of_neg_nat₂, DifferentiableWithinAt.div_const, Asymptotics.continuousAt_iff_isLittleO, HasFDerivWithinAt.smul_const, AddChar.tendsto_eval_one_sub_pow, CFC.log_monotoneOn, ContinuousMap.toLp_norm_eq_toLp_norm_coe, DifferentiableAt.inv, Quaternion.expSeries_even_of_imaginary, AnalyticAt.fun_zpow, Absorbent.eventually_nhdsNE_zero, NormedSpace.expSeries_div_summable, DifferentiableWithinAt.inv, summable_descFactorial_mul_geometric_of_norm_lt_one, differentiableOn_pow, tsum_choose_mul_geometric_of_norm_lt_one, hasDerivAt_exp_smul_const, NormedSpace.algebraMap_exp_comm, fourierCoeff_toLp, IsSelfAdjoint.toReal_spectralRadius_complex_eq_norm, DifferentiableAt.fun_pow, IntervalIntegrable.mul_const, CFC.monotone_rpow, derivWithin_mul_const_field, balancedCoreAux_balanced, CFC.rpow_neg_one_eq_cfc_inv, NormedSpace.map_exp_of_mem_ball, Differentiable.mul_const, NormedSpace.expSeries_radius_eq_top, unitary.spectrum_subset_circle, MeasureTheory.integrable_mul_const_iff, nnnorm_cfc_le_iff, inverse_add, CommCStarAlgebra.toStarModule, HasFDerivWithinAt.mul_const', spectrum.isClosed, fderiv_const_mul, nonunits.subset_compl_ball, NormedSpace.invOf_exp, MeasureTheory.IntegrableOn.mul_continuousOn_of_subset, Real.spectralRadius_mem_spectrum_or, algebraMap_memℓp_infty, fderiv_pow_ring', NormedSpace.exp_conj', Function.HasTemperateGrowth.pow, spectrum.isBounded, inverse_add_norm, IsSelfAdjoint.sq_spectrumRestricts, MeasureTheory.MemLp.const_mul', WeakDual.CharacterSpace.compContinuousMap_apply, Subalgebra.frontier_subset_frontier, contDiff_smul_const, continuous_cfcHomSuperset_left, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, HasDerivWithinAt.const_mul, Continuous.cfc_of_mem_nhdsSet, NormedSpace.exp_units_conj', binomialSeries_radius_eq_top_of_nat, Filter.tendsto_inv₀_nhdsWithin_ne_zero, spectrum.hasDerivAt_resolvent, ContinuousOn.cfc_nnreal, deriv_smul, PositiveLinearMap.gnsStarAlgHom_apply, cfc_integral, MeasureTheory.Integrable.mul_bdd, BoundedContinuousFunction.coeFn_toLp, spectrum.nonempty, AnalyticAt.aeval_polynomial, Subalgebra.spectrum_isBounded_connectedComponentIn, CStarAlgebra.mem_Icc_algebraMap_iff_nnnorm_le, inverse_add_norm_diff_second_order, ContinuousLinearMap.isVonNBounded_iff, nnnorm_cfc_nnreal_lt, TendstoLocallyUniformly.div₀, derivWithin_fun_smul, HasFDerivAt.fun_pow', Unitary.openPartialHomeomorph_target, HasMFDerivWithinAt.mul', CFC.rpow_le_rpow, summable_powerSeries_of_norm_lt, Quaternion.normSq_exp, unitary.joined, IsSelfAdjoint.exp_nonneg, PadicInt.continuous_addChar_of_value_at_one, AnalyticOn.inv, spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius, intervalIntegral.integral_deriv_mul_eq_sub, nnnorm_cfc_nnreal_le, HasFDerivAt.smul_const, Continuous.cfc_nnreal, NormedSpace.exp_hasFPowerSeriesAt_zero, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, ContinuousOn.cfc_of_mem_nhdsSet, NormedField.tendsto_norm_inv_nhdsNE_zero_atTop, nnnorm_cfc_nnreal_le_iff, AnalyticAt.fun_mul, Quaternion.im_exp, Function.HasTemperateGrowth.fun_mul, TendstoLocallyUniformly.fun_inv₀_of_disjoint, DifferentiableAt.mul_const, NormedDivisionRing.to_continuousInv₀, algEquivComplexOfComplete_symm_apply, CauSeq.tendsto_limit, HasFDerivAt.const_mul, NormedSpace.exp_nsmul, formalMultilinearSeries_geometric_apply_norm, MeasureTheory.Integrable.mul_of_top_left, Unitary.spectrum_subset_slitPlane_iff_norm_lt_two, hasSum_geom_series_inverse, NormedSpace.norm_expSeries_summable', formalMultilinearSeries_geometric_eq_ofScalars, DifferentiableOn.fun_inv, MDifferentiable.mul, hasSum_coe_mul_geometric_of_norm_lt_one, Metric.unitSphere.coe_inv, hasFDerivAt_exp_zero, MeasureTheory.Integrable.const_mul', selfAdjoint.star_coe_unitarySelfAddISMul, Units.isOpen, Balanced.absorbs_self, hasSum_choose_mul_geometric_of_norm_lt_one', CStarAlgebra.rpow_neg_one_le_rpow_neg_one, hasStrictFDerivAt_pow', MeasureTheory.Integrable.mul_const', AnalyticWithinAt.div_const, DifferentiableWithinAt.pow, NNReal.spectralRadius_mem_spectrum, Quaternion.summable_coe, CStarAlgebra.mul_star_le_algebraMap_norm_sq, NormedDivisionRing.unitClosedBall_eq_univ_of_discrete, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDeriv_right, HasDerivWithinAt.fun_mul, TendstoLocallyUniformlyOn.inv₀_of_disjoint, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', AnalyticOnNhd.mul, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, HasDerivWithinAt.pow', AnalyticOnNhd.fun_zpow, SpectrumRestricts.spectralRadius_eq, UniformContinuous.inv₀, AnalyticWithinAt.pow, AnalyticWithinAt.fun_zpow_nonneg, upperHemicontinuous_spectrum_nnreal, ContinuousMap.continuous_isUnit_unit, MeasureTheory.IntegrableOn.continuousOn_mul, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, hasSum_sum_range_mul_of_summable_norm, hasFDerivAt_exp_smul_const, AnalyticOn.zpow, Metric.unitSphere.coe_zpow, hasStrictFDerivAt_list_prod_attach', nnnorm_cfc_le, hasFPowerSeriesOnBall_inv_one_sub, hasFPowerSeriesOnBall_inverse_one_sub, NormedSpace.expSeries_div_summable_of_mem_ball, hasStrictFDerivAt_ringInverse, integrable_cfc', IsUltrametricDist.isUltrametricDist_of_forall_norm_add_one_of_norm_le_one, CStarAlgebra.norm_le_iff_le_algebraMap, DifferentiableOn.fun_pow, Quaternion.tsum_coe, lp.instIsCentralScalarSubtypePreLpMemAddSubgroup, Prod.fst_exp, ContinuousMap.toLp_injective, nnnorm_apply_le_nnnorm_cfc, AnalyticOnNhd.zpow, CFC.log_smul', fderiv_smul_const, Quaternion.continuous_im, Continuous.cfc, IsSelfAdjoint.spectralRadius_eq_nnnorm, Unitary.joined, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, Asymptotics.isLittleO_iff_exists_eq_mul, AnalyticAt.fun_pow, MeasureTheory.Lp.instIsBoundedSMul, ContinuousMap.coe_toLp, differentiable_pow, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, ContinuousMap.canLift, Differentiable.const_mul, iteratedDerivWithin_mul, differentiableOn_inverse, CFC.nnnorm_rpow, IsUltrametricDist.isUltrametricDist_of_forall_norm_natCast_le_one, spectrum.differentiableOn_inverse_one_sub_smul, HasFPowerSeriesAt.const_smul, algEquivComplexOfComplete_apply, MeasureTheory.MemLp.mul_const, Matrix.exp_units_conj', MeasureTheory.Lp.simpleFunc.isBoundedSMul, hasStrictFDerivAt_exp_zero_of_radius_pos, IsStarNormal.instContinuousFunctionalCalculus, IsClosed.balancedCore, CStarAlgebra.star_mul_le_algebraMap_norm_sq, spectrum.hasFDerivAt_resolvent, apply_le_nnnorm_cfc_nnreal, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm', nhds_basis_closed_balanced, AlgHom.coe_toContinuousLinearMap, HasFDerivWithinAt.pow', balancedCoreAux_subset, HasDerivAt.const_mul, AnalyticWithinAt.div, HasFDerivAt.list_prod', AnalyticWithinAt.fun_pow, hasFDerivAt_pow', WeakDual.CharacterSpace.norm_le_norm_one, cfcL_integral, StarSubalgebra.mem_spectrum_iff, ContinuousMap.coeFn_toLp, Unitary.isPathConnected_ball, hasStrictFDerivAt_exp_zero, formalMultilinearSeries_geometric_radius, spectrum.algebraMap_eq_of_mem, AccPt.uniqueDiffWithinAt, IntervalIntegrable.continuousOn_mul, DifferentiableOn.pow, iteratedDerivWithin_smul, ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv, egauge_eq_zero_iff, Summable.mul_tendsto_const, norm_cfc_le, AnalyticOnNhd.zpow_nonneg, analyticOn_inv, HasDerivAt.mul, ContinuousMap.toLp_comp_toContinuousMap, AnalyticOnNhd.fun_pow, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivAt, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, AnalyticWithinAt.zpow_nonneg, CStarAlgebra.rpow_neg_one_le_one, AnalyticOn.div, AnalyticAt.zpow_nonneg, MeasureTheory.AEEqFun.Integrable.smul, deriv_smul_const, MeasureTheory.MemLp.mul', ordinaryHypergeometricSeries_eq_zero_iff, spectrum.pow_norm_pow_one_div_tendsto_nhds_spectralRadius, Quaternion.norm_exp, contDiff_mul, Quaternion.continuous_coe, NormedField.tendsto_norm_zpow_nhdsNE_zero_atTop, TendstoLocallyUniformlyOn.fun_inv₀, IsSelfAdjoint.map_spectrum_real, AnalyticOnNhd.div, spectrum.exp_mem_exp, differentiableWithinAt_inverse, NormedSpace.exp_neg, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, ContinuousOn.cfc', DifferentiableOn.inverse, IsUltrametricDist.normedAlgebra_iff, NormedSpace.exp_smul, AnalyticOn.fun_zpow_nonneg, AnalyticWithinAt.zpow, hasDerivAt_exp_smul_const_of_mem_ball', ContinuousMap.linearIsometryBoundedOfCompact_apply_apply, HasDerivWithinAt.mul_const, deriv_const_mul, TendstoLocallyUniformly.inv₀_of_disjoint, contDiff_smul, summable_geometric_iff_norm_lt_one, NormedAlgebra.Real.exists_isMonicOfDegree_two_and_aeval_eq_zero, TendstoLocallyUniformly.inv₀, AnalyticAt.fun_inv, summable_pow_mul_geometric_of_norm_lt_one, Subalgebra.frontier_spectrum, BoundedContinuousFunction.coe_toContinuousMapₐ, BoundedContinuousFunction.toLp_norm_le, NormedSpace.expSeries_div_hasSum_exp, Filter.Tendsto.cfc_nnreal, HasStrictFDerivAt.fun_smul, iteratedDeriv_mul_const_field, HasFDerivAt.pow', HasStrictFDerivAt.pow', tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, Filter.tendsto_mul_left_cobounded, HasDerivAt.div_const, HasFDerivWithinAt.smul, nnnorm_cfc_lt_iff, StarSubalgebra.coe_isUnit, spectrum.spectralRadius_le_nnnorm, inverse_add_norm_diff_first_order, spectrum.isCompact_nnreal, AnalyticAt.fun_div, MeasureTheory.Integrable.mul_const, tsum_mul_tsum_of_summable_norm', HasStrictFDerivAt.mul_const', differentiableAt_pow, AnalyticOnNhd.div_const, AlgHom.toContinuousLinearMap_norm, ContDiffWithinAt.pow, Differentiable.div_const, selfAdjoint.val_re_map_spectrum, fderivWithin_list_prod', HasFDerivWithinAt.fun_mul', BoundedContinuousFunction.toContinuousMapₐ_apply, fderivWithin_smul_const, ProbabilityTheory.IndepFun.integrable_right_of_integrable_mul, NormedSpace.continuousOn_exp, Metric.unitSphere.coe_div, CFC.log_le_log, spectrum.resolvent_tendsto_cobounded, Matrix.isUnit_exp, MeasureTheory.Integrable.div_const, uniformContinuousOn_inv₀, MeasureTheory.Lp.coe_LpSubmodule, NormedDivisionRing.to_isTopologicalDivisionRing, PositiveLinearMap.norm_apply_le_of_nonneg, fderivWithin_pow_ring', Unitization.nndist_inr, inverse_continuousAt, Bornology.IsVonNBounded.image, DifferentiableOn.const_mul, norm_apply_le_norm_cfc, absorbs_iff_eventually_nhds_zero, MeasureTheory.BoundedContinuousFunction.inner_toLp, spectrum.instCompactSpaceNNReal, HasFDerivWithinAt.fun_pow', AnalyticAt.div_const, summable_sum_mul_antidiagonal_of_summable_norm', integrable_cfc, IsSelfAdjoint.toReal_spectralRadius_eq_norm, spectralValue_le_one_iff, NormedSpace.expSeries_radius_pos, Function.HasTemperateGrowth.mul, nnnorm_cfc_nnreal_lt_iff, MDifferentiableOn.mul, analyticAt_mul, NormedSpace.algebraMap_exp_comm_of_mem_ball, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, Asymptotics.isLittleO_iff_tendsto, HasFDerivAt.mul_const', norm_cfcHom, TendstoLocallyUniformly.fun_div₀, DifferentiableOn.mul_const, analyticAt_inv, contDiffAt_ringInverse, HasDerivAt.pow', geom_series_mul_neg, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', CFC.norm_rpow, spectrum.exists_nnnorm_eq_spectralRadius, ordinaryHypergeometric_radius_top_of_neg_nat₁, Units.contMDiff_val, AnalyticOnNhd.aeval_polynomial, PadicInt.continuousAddCharEquiv_symm_apply, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, MonotoneOn.nnnorm_cfc, analyticAt_inverse_one_sub, norm_iteratedFDerivWithin_mul_le, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, unitary.norm_sub_one_lt_two_iff, cfc_setIntegral', DifferentiableAt.div_const, AnalyticOnNhd.fun_zpow_nonneg, hasStrictFDerivAt_inv', hasFDerivAt_exp_smul_const_of_mem_ball', analyticAt_inv_one_sub, Differentiable.mul, iteratedDerivWithin_const_mul, iteratedDeriv_const_mul_field, intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivWithinAt, hasStrictFDerivAt_exp_smul_const, AnalyticAt.mul, derivWithin_mul, AnalyticAt.div, hasDerivAt_exp_smul_const', WeakDual.CharacterSpace.compContinuousMap_comp, Polynomial.isBigO_cobounded_of_degree_le, MeasureTheory.integral_mul_deriv_eq_deriv_mul_of_integrable, ContinuousLinearMap.smul_compLpL, summable_geometric_of_norm_lt_one, unitary.isPathConnected_ball, continuousOn_cfc_nnreal_setProd, NormedAlgebra.Complex.nonempty_algEquiv, nnnorm_cfcHom, integrableOn_cfc, inverse_one_sub_nth_order', NormedSpace.exp_add_of_commute, WeakDual.CharacterSpace.equivAlgHom_symm_coe, continuousOn_cfc, ProbabilityTheory.IndepFun.integrable_mul, hasStrictFDerivAt_list_prod', spectrum.mem_resolventSet_of_norm_lt, Quaternion.hasSum_expSeries_of_imaginary, Prod.snd_exp, HasStrictFDerivAt.smul_const, spectralValue_eq_zero_iff, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, tendsto_intCast_atTop_cobounded, NormedSpace.isUnit_exp, PadicInt.continuousAddCharEquiv_apply, CStarAlgebra.norm_mem_spectrum_of_nonneg, summable_norm_sum_mul_antidiagonal_of_summable_norm, NormedSpace.expSeries_hasSum_exp_of_mem_ball', IsometricContinuousFunctionalCalculus.isGreatest_norm_spectrum, hasFDerivAt_exp_zero_of_radius_pos, CFC.log_exp, AnalyticAt.fun_zpow_nonneg, lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup, iteratedDeriv_fun_mul, CFC.log_algebraMap, ContinuousLinearMap.opNorm_lsmul, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, AnalyticOn.div_const, inverse_add_nth_order, Filter.tendsto_mul_right_cobounded, Unitization.uniformity_eq_aux, analyticOnNhd_inv, DifferentiableAt.pow, CStarAlgebra.toStarModule, MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul, Filter.tendsto_inv₀_nhdsNE_zero, DifferentiableWithinAt.fun_inv, coe_algEquiv_lpBCF_symm, MeasureTheory.integral_mul_deriv_eq_deriv_mul, HasFDerivWithinAt.mul', AnalyticAt.pow, DifferentiableAt.fun_mul, spectrum.hasDerivAt_resolvent_const_left, deriv_mul, NormedSpace.exp_analytic, IsStarNormal.instIsometricContinuousFunctionalCalculus, differentiableAt_inv, deriv_pow', NormedSpace.exp_sum_of_commute, AnalyticAt.inv, AnalyticOnNhd.pow, DifferentiableWithinAt.mul_const, ContinuousAt.cfc_nnreal, fderivWithin_mul', hasStrictDerivAt_exp_smul_const_of_mem_ball, Unitary.openPartialHomeomorph_apply, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivWithinAt, Unitary.argSelfAdjoint_coe, ContinuousWithinAt.cfc, MeasureTheory.ContinuousMap.inner_toLp, hasFDerivAt_inv', HasDerivAt.fun_mul, Matrix.exp_units_conj, Units.isOpenEmbedding_val, NormedSpace.exp_units_conj, tangentConeAt_eq_univ, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, NormedSpace.expSeries_summable_of_mem_ball', differentiableAt_inverse, spectrum.map_polynomial_aeval, Quaternion.hasSum_coe, AnalyticOn.fun_pow, Asymptotics.isLittleO_pow_pow_cobounded_of_lt, MeasureTheory.IntegrableOn.mul_continuousOn, ContDiffOn.mul, AnalyticOn.mul, BoundedContinuousFunction.separatesPoints_charPoly, ContinuousWithinAt.cfc_nnreal, Quaternion.continuous_imK, CStarAlgebra.exists_sum_four_unitary, Units.chartAt_source, IsSelfAdjoint.le_algebraMap_norm_self, fderiv_list_prod', tendsto_intCast_atBot_cobounded, HasMFDerivAt.mul', cfcHom_eq_of_isStarNormal, DoubleCentralizer.instCompleteSpace, spectrum.spectralRadius_le_pow_nnnorm_pow_one_div, NormedSpace.exp_mem_unitary_of_mem_skewAdjoint, MDifferentiableWithinAt.pow, deriv_mul_const_field', CFC.real_exp_eq_normedSpace_exp, CFC.continuousOn_rpow, upperHemicontinuous_spectrum, UniformConvergenceCLM.isVonNBounded_iff, Asymptotics.IsLittleO.exists_eq_mul, BoundedContinuousFunction.range_toLp, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, ContinuousMap.isUnit_iff_forall_ne_zero, Differentiable.inv, ContinuousMap.linearIsometryBoundedOfCompact_toIsometryEquiv, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, HasFDerivAt.fun_mul', Ring.inverse_exp, unitary.mem_pathComponentOne_iff, derivWithin_smul_const, spectrum.subset_circle_of_unitary, spectrum.subset_closedBall_norm, derivWithin_const_mul_field, AnalyticOnNhd.fun_inv, Units.isOpenMap_val, IsometricContinuousFunctionalCalculus.isGreatest_spectrum, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm', hasDerivAt_exp_smul_const_of_mem_ball, analyticAt_inverse, MeasureTheory.integral_Iic_deriv_mul_eq_sub, HasFDerivAt.mul', continuousFunctionalCalculus_map_id, coe_algEquiv_lpBCF, Quaternion.continuous_normSq, NormedAlgebra.Complex.exists_norm_sub_smul_one_eq_zero, hasFDerivAt_list_prod_attach', Quaternion.continuous_re, iteratedDerivWithin_mul_const_field, CFC.conjugate_rpow_neg_one_half, geom_series_eq_inverse, AnalyticAt.zpow, Polynomial.supNorm_eq_zero_iff, CFC.log_smul, NormedSpace.expSeries_hasSum_exp_of_mem_ball, MDifferentiableOn.pow, CStarAlgebra.span_unitary, binomialSeries_radius_ge_one, CFC.complex_exp_eq_normedSpace_exp, le_iff_norm_sqrt_mul_rpow, deriv_div_const, balancedCore_eq_iInter, BoundedContinuousFunction.toLp_denseRange, Unitary.path_apply, CStarAlgebra.nnnorm_mem_spectrum_of_nonneg, SpectrumRestricts.nnreal_iff_nnnorm, Unitary.spectrum_subset_circle, HasFDerivAt.smul, Quaternion.exp_coe, one_le_formalMultilinearSeries_geometric_radius, cfc_setIntegral, differentiableOn_inv, Ideal.IsMaximal.closure_eq, Quaternion.exp_eq, UniformContinuous.fun_inv₀, IntervalIntegrable.div_const, WeakDual.CharacterSpace.instStarHomClass, SpectrumRestricts.nnreal_add, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm, spectrum.mem_resolventSet_of_norm_lt_mul, Filter.tendsto_inv₀_cobounded', balancedCoreAux_empty, norm_cfc_lt, Pi.exp_def, derivWithin_fun_pow', cfc_integral', selfAdjoint.expUnitary_coe, intervalIntegral.integral_const_mul, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ContDiff.mul, derivWithin_pow', HasStrictFDerivAt.smul, IntervalIntegrable.const_mul, Nonneg.instIsometricContinuousFunctionalCalculus, Units.chartAt_apply, MDifferentiable.pow, AnalyticWithinAt.mul, balancedCore_subset_balancedCoreAux, AnalyticOnNhd.inv, Metric.sphere.instIsTopologicalGroup, hasStrictFDerivAt_exp_smul_const_of_mem_ball, HasDerivAt.mul_const, derivWithin_const_mul, selfAdjoint.joined_one_expUnitary, ContDiffAt.mul, le_iff_norm_sqrt_mul_sqrt_inv, HasFDerivWithinAt.list_prod', fderiv_inv', unitary.continuousOn_argSelfAdjoint, unitary.spectrum_subset_slitPlane_iff_norm_lt_two, Pi.coe_exp, fderivWithin_pow', tendsto_natCast_atTop_cobounded

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist MetricSpace.toPseudoMetricSpace toMetricSpace Norm.norm toNorm AddSemigroup.toAdd AddMonoid.toAddSemigroup AddCommMonoid.toAddMonoid NonUnitalNonAssocSemiring.toAddCommMonoid NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring toRing Ring.toNeg	—	—
norm_mul_le 📖	mathematical	—	Real Real.instLE Norm.norm toNorm NonUnitalNonAssocSemiring.toMul NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring toRing Real.instMul	—	—

PUnit

Definitions

Name	Category	Theorems
normedCommRing 📖	CompOp	5 math math: Manifold.IsImmersionAtOfComplement.ofOpen, Manifold.IsImmersionOfComplement.ofOpen, Manifold.IsImmersionAtOfComplement.of_opens, Manifold.IsImmersionOfComplement.id, Manifold.IsImmersionOfComplement.of_opens

Pi

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
normOneClass 📖	mathematical	NormOneClass SeminormedAddCommGroup.toNorm	NormOneClass SeminormedAddCommGroup.toNorm seminormedAddCommGroup instOne	—	nnnorm_one Finset.sup_const Finset.univ_nonempty

Prod

Definitions

Name	Category	Theorems
nonUnitalNormedCommRing 📖	CompOp	—
nonUnitalNormedRing 📖	CompOp	1 math math: cstarRing
nonUnitalSeminormedCommRing 📖	CompOp	—
nonUnitalSeminormedRing 📖	CompOp	—
normedCommRing 📖	CompOp	—
normedRing 📖	CompOp	—
seminormedCommRing 📖	CompOp	—
seminormedRing 📖	CompOp	—

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
normOneClass 📖	mathematical	—	NormOneClass toNorm SeminormedAddCommGroup.toNorm instOne	—	NormOneClass.norm_one max_self

Real

Definitions

Name	Category	Theorems
normedCommRing 📖	CompOp	1844 math math: range_cfcₙ_nnreal, IsLocalMaxOn.fderivWithin_nonpos, MeasureTheory.L1.setToL1_eq_setToL1', MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal, differentiableOn_arcosh, isEquivalent_descFactorial, hasDerivAt_arccos, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, HasStrictFDerivAt.log, BoundedContinuousFunction.tietze_extension_step, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, InformationTheory.integrable_klFun_rnDeriv_iff, MeasureTheory.Integrable.integral_norm_prod_right, MeasureTheory.setToFun_add_left, Seminorm.isBounded_const, MeasureTheory.L1.SimpleFunc.norm_Integral_le_one, MeasureTheory.eLpNorm'_norm, Bundle.ContMDiffRiemannianMetric.isVonNBounded, SchwartzMap.lineDerivOpCLM_eq, ProbabilityTheory.cdf_measure_stieltjesFunction, MeasureTheory.condExpInd_of_measurable, deriv_exp, integrableOn_rpowIntegrand₀₁_Ioi, unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, Bundle.ContMDiffRiemannianMetric.contMDiff, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, MonotoneOn.intervalIntegral_slope_le, HasDerivAt.const_rpow, Distribution.delta_apply, ProbabilityTheory.isGaussian_iff_gaussian_charFun, differentiable_arctan, differentiableAt_mulExpNegMulSq, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, Complex.restrictScalars_one_smulRight', MeasureTheory.aestronglyMeasurable_condExpInd, IsSelfAdjoint.quasispectrumRestricts, Matrix.IsHermitian.isClosedEmbedding_cfcAux, RCLike.ofRealCLM_apply, deriv_arctan, hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, differentiableAt_arcsin, Complex.linearEquiv_det_conjLIE, MeasureTheory.condExpInd_ae_eq_condExpIndSMul, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, DifferentiableWithinAt.log, ConvexOn.le_slope_of_hasDerivAt, HasStrictDerivAt.rpow, NumberField.Units.finrank_eq_rank, StrictConvexOn.slope_lt_leftDeriv, MeasureTheory.L1.setToL1_indicatorConstLp, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, fourierCoeff_tsum_comp_add, CFC.abs_eq_cfc_norm, fderiv_fourierIntegral, CFC.sqrt_eq_one_iff', CFC.posPart_one, ConvexOn.rightDeriv_le_slope_of_mem_interior, NumberField.mixedEmbedding.norm_eq_sup'_normAtPlace, ContinuousMap.abs_mem_subalgebra_closure, hasDerivAt_sqrt_mul_log, StrongDual.norm_extendRCLike, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, nnnorm_cfcₙ_nnreal_le_iff, ZSpan.volume_real_fundamentalDomain, Complex.ofRealCLM_coe, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, RightDerivMeasurableAux.D_subset_differentiable_set, Complex.areaForm, deriv_negMulLog, hasDerivAt_sigmoid, Matrix.IsHermitian.det_abs, RCLike.ofRealLI_apply, deriv_abs, Stirling.factorial_isEquivalent_stirling, ProbabilityTheory.covarianceBilinDual_apply', nnnorm_deriv_mulExpNegMulSq_le_one, deriv_binEntropy, HasDerivWithinAt.liminf_right_slope_le, CFC.posPart_natCast, Complex.ofRealLI_apply, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, DifferentiableOn.sqrt, BoundedContinuousFunction.integral_eq_integral_nnrealPart_sub, CFC.tendsto_cfc_rpow_sub_one_log, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_ne, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, HasDerivWithinAt.cosh, hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, CFC.sq_sqrt, ContinuousMap.attachBound_apply_coe, span_fourier_closure_eq_top, MeasureTheory.L1.norm_setToL1_le, StrictConvexOn.deriv_lt_slope, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, HasDerivWithinAt.complexToReal_fderiv', Differentiable.cosh, ContDiffBump.integrable, ZLattice.covolume_eq_det_inv, ProbabilityTheory.covarianceBilinDual_apply, MeasureTheory.AEStronglyMeasurable.memLp_truncation, fderiv_fourierChar_neg_bilinear_right_apply, ProbabilityTheory.isGaussian_multivariateGaussian, fourier_continuousLinearMap_apply, Unitization.real_cfcₙ_eq_cfc_inr, intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, LipschitzWith.memLp_lineDeriv, differentiableWithinAt_abs_pos, StrictConcaveOn.lt_slope_of_hasDerivAt, eventually_enorm_mfderivWithin_symm_extChartAt_lt, Module.Dual.extendRCLikeₗ_symm_apply, ProbabilityTheory.integrable_preCDF, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, DifferentiableWithinAt.norm, det_fderivPolarCoordSymm, AddCircle.coe_real_preimage_closedBall_eq_iUnion, MeasureTheory.Integrable.neg_part, ProbabilityTheory.covarianceBilin_multivariateGaussian, DifferentiableWithinAt.sqrt, MeasureTheory.Integrable.norm_integral_condExpKernel, differentiable_sinh, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, ProbabilityTheory.covarianceBilin_apply_eq_cov, ProbabilityTheory.covarianceBilin_self, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, selfAdjoint.expUnitaryPathToOne_apply, StrictConcaveOn.slope_lt_rightDeriv, hasDerivAt_bernoulliFun, Orientation.volumeForm_neg_orientation, CFC.nnnorm_sqrt, MeasureTheory.condExpIndL1Fin_smul, ContDiffBump.integrable_normed, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg, NumberField.mixedEmbedding.norm_le_convexBodySumFun, ProbabilityTheory.uncenteredCovarianceBilin_apply, StrongDual.norm_extendRCLike_bound, deriv_log, StrictConvexOn.rightDeriv_lt_slope, derivWithin_arctan, Complex.ofRealCLM_norm, contMDiff_neg_sphere, not_differentiableAt_norm_zero, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, intervalIntegral.integrableOn_deriv_of_nonneg, BoxIntegral.unitPartition.mem_smul_span_iff, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_ne, AkraBazziRecurrence.isBigO_apply_r_sub_b, HasGradientAt.hasDerivAt', MeasureTheory.L1.SimpleFunc.setToL1SCLM_const, SmoothBumpCovering.exists_immersion_euclidean, DifferentiableAt.sigmoid, ContDiffMapSupportedIn.seminorm_fderivLM_le, MeasureTheory.pdf.IsUniform.mul_pdf_integrable, ProbabilityTheory.integrable_toReal_condExpKernel, Bundle.RiemannianMetric.isVonNBounded, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, ContDiffMapSupportedIn.seminorm_fderivLM_top, Complex.convexHull_reProdIm, one_mem_posTangentConeAt_iff_frequently, hasDerivAt_sin, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, MeasureTheory.Integrable.simpleFunc_mul', CFC.sqrt_rpow, not_IntegrableOn_Ioi_inv, ContinuousMap.continuousMap_mem_subalgebra_closure_of_separatesPoints, differentiableOn_log, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, Differentiable.fderiv_norm_rpow, lintegral_fderiv_lineMap_eq_edist, Set.OrdConnected.image_deriv, signedDist_right_congr, AddCircle.isAddFundamentalDomain_of_ae_ball, ContinuousMap.toNNReal_neg_algebraMap, differentiableOn_arcsin, UpperHalfPlane.num_neg, MeasureTheory.MemLp.integrable_norm_rpow', AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Module.Basis.parallelepiped_basisFun, monomial_has_deriv_aux, MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM, MeasureTheory.hasFiniteIntegral_prod_iff', vector_fourierIntegral_eq_integral_exp_smul, StrictConvexOn.strictMonoOn_deriv, CompactlySupportedContinuousMap.nnrealPart_smul_neg, MeasureTheory.MemLp.norm_rpow, cfc_complex_eq_real, UnitAddTorus.mFourierSubalgebra_closure_eq_top, hasDerivAt_mul_log, ProbabilityTheory.IsGaussian.integrable_exp_sq_of_conv_neg, derivWithin_cosh, NNReal.enorm_eq, fderivWithin_sinh, differentiableWithinAt_abs, deriv_arccos, hasStrictDerivAt_sinh, ProbabilityTheory.integrable_pow_abs_of_integrable_exp_mul, LocallyBoundedVariationOn.ae_differentiableWithinAt, integrableOn_exp_Iic, CFC.negPart_algebraMap, cfcₙHom_nnreal_eq_restrict, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, ENNReal.orderIsoRpow_symm_apply, 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, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, hasStrictFDerivAt_rpow_of_pos, differentiableAt_sigmoid, integrable_prod_sub, MeasureTheory.eLpNorm_mono_real, Orientation.volumeForm_map, convexHull_union_neg_eq_absConvexHull, Icc_isBoundaryPoint_bot, mellin_convergent_zero_of_isBigO, volume_val, deriv_abs_neg, ProbabilityTheory.evariance_lt_top_iff_memLp, differentiableWithinAt_arccos_Ici, MeasureTheory.convolution_tendsto_right, DifferentiableWithinAt.abs_of_pos, deriv.log, HarmonicAt.analyticAt_complex_partial, integrableOn_Ioi_rpow_of_lt, ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zero, ConcaveOn.slope_le_of_hasDerivAt, signedDist_left_congr, exists_deriv_eq_zero, nnnorm_exp_I_mul_ofReal_sub_one_le, integrableOn_Ioi_norm_cpow_of_lt, QuadraticForm.equivalent_signType_weighted_sum_squared, InformationTheory.leftDeriv_klFun_one, RCLike.reCLM_norm, MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, HasDerivWithinAt.sin, hasDerivAt_arcosh, ConvexOn.monotoneOn_rightDeriv, enorm_fderiv_norm_rpow_le, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, MeasureTheory.Integrable.simpleFunc_mul, MonotoneOn.intervalIntegrable_deriv, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, HasDerivAt.sqrt, Continuous.cfc_nnreal', Orientation.abs_volumeForm_apply_of_orthonormal, signedDist_linear_apply_apply, CFC.abs_coe_unitary, BoxIntegral.hasIntegral_GP_pderiv, NumberField.mixedEmbedding.negAt_apply_snd, StrictConvexOn.lt_slope_of_hasDerivAt, GammaIntegral_convergent, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.memLp_two_iff_integrable_sq_norm, mfderivWithin_projIcc_one, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, HasFDerivAt.arctan, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, hasStrictDerivAt_arccos, MeasureTheory.integrable_norm_rpow_iff, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, Asymptotics.IsEquivalent.add_add_of_nonneg, HasStrictFDerivAt.abs, IsUnit.cfcSqrt, CFC.continuousOn_log, TestFunction.fderivCLM_ofSupportedIn, Euclidean.closedBall_eq_image, NumberField.mixedEmbedding.negAt_preimage, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, QuadraticForm.equivalent_one_neg_one_weighted_sum_squared, ProbabilityTheory.charFun_multivariateGaussian, fderiv_fourier, ApproximatesLinearOn.norm_fderiv_sub_le, MeasureTheory.L1.setToL1_smul_left, ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, MeasureTheory.eLpNorm_norm, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, MeasureTheory.integrable_toReal_rnDeriv_mul_iff, norm_deriv_mulExpNegMulSq_le_one, MeasureTheory.L1.setToL1_zero_left, Quaternion.linearIsometryEquivTuple_symm_apply, MeasureTheory.SignedMeasure.singularPart_smul, ProbabilityTheory.covarianceBilin_apply_basisFun_self, MeasureTheory.condExpInd_nonneg, balancedHull_subset_convexHull_union_neg, StrictConcaveOn.deriv_lt_slope, Orientation.areaForm_to_volumeForm, Icc_isInteriorPoint_interior, VectorFourier.fourierIntegral_continuousLinearMap_apply, signedDist_le_dist, not_continuousAt_deriv_mul_log_zero, integrable_one_add_norm, ProbabilityTheory.integrable_condCDF, HasStrictFDerivAt.arsinh, integrableOn_add_rpow_Ioi_of_lt, HasFDerivWithinAt.exp, InformationTheory.klDiv_eq_top_iff, Orientation.areaForm_neg_orientation, fderivWithin_sin, StrictConcaveOn.slope_lt_deriv, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, CFC.continuousOn_sqrt, Monotone.ae_differentiableAt, ConvexOn.slope_le_deriv, Differentiable.abs, mfderivWithin_comp_projIcc_one, DifferentiableOn.rpow, SimpleGraph.lapMatrix_toLinearMap₂'_apply'_eq_zero_iff_forall_reachable, NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, AddCircle.norm_div_natCast, BoundedContinuousFunction.integral_const_sub, MeasureTheory.condExpL1CLM_of_aestronglyMeasurable', DifferentiableAt.rpow_const, signedDist_apply_apply, differentiableAt_rpow_const_of_ne, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, UnitAddTorus.mFourierCoeff_toLp, ProbabilityTheory.gaussianReal_map_continuousLinearMap, IccLeftChart_extend_interior_pos, hasDerivAt_arsinh, Orientation.areaForm_swap, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, HasDerivWithinAt.cos, Differentiable.sinh, Bundle.ContinuousRiemannianMetric.symm, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left', fderiv.log, HasStrictDerivAt.arctan, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, MeasureTheory.Integrable.integral_norm_condDistrib_map, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, hasDerivAt_abs_neg, ProbabilityTheory.integrable_exp_mul_of_nonneg_of_le, deriv_sqrt_aux, ProbabilityTheory.integrable_exp_mul_abs, HasStrictDerivAt.real_of_complex, Matrix.PosSemidef.det_sqrt, deriv_rpow_const, ProbabilityTheory.integrable_exp_mul_of_abs_le, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, DifferentiableWithinAt.dist, MeasureTheory.integrable_thickenedIndicator, hasDerivWithinAt_abs, ProbabilityTheory.integrable_pow_mul_exp_of_integrable_exp_mul, MeasureTheory.MemLp.pos_part, MeasureTheory.integrable_of_tendsto, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding, MeasureTheory.eLpNorm_ofReal, deriv_sinh, exists_ratio_deriv_eq_ratio_slope, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, ProbabilityTheory.IsMeasurableRatCDF.instIsProbabilityMeasure_stieltjesFunction, VectorFourier.fourierIntegral_iteratedFDeriv, ModularGroup.lcRow0Extend_symm_apply, InformationTheory.hasDerivAt_klFun, ContinuousMap.toNNReal_algebraMap, integrableOn_Ioi_norm_cpow_iff, contMDiff_coe_sphere, StrictConvexOn.slope_lt_deriv, BoundedContinuousFunction.mem_charPoly, StarAlgHom.continuous_realContinuousMapOfNNReal, Seminorm.ball_smul, BoundedContinuousFunction.charAlgHom_apply, ae_differentiableAt_norm, Commute.cfc_real, NumberField.Units.instZLattice_unitLattice, Orientation.volumeForm_zero_pos, MeasureTheory.L1.setToL1_mono_left', ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, Matrix.IsHermitian.charpoly_cfc_eq, volume_eq_stieltjes_id, DifferentiableAt.fderiv_norm_self, ProbabilityTheory.Kernel.integrable_densityProcess, NumberField.Units.span_basisOfIsMaxRank, nnnorm_cfcₙ_nnreal_lt, CFC.sqrt_eq_rpow, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, Complex.equivRealProdCLM_symm_apply, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', CompactlySupportedContinuousMap.coe_toRealLinearMap, IsLocalExtr.fderiv_eq_zero, NumberField.Units.basisOfIsMaxRank_apply, differentiableOn_rpow_const, MeasureTheory.MemLp.integrable_norm_pow, continuousMap_mem_polynomialFunctions_closure, MeasureTheory.Integrable.norm_integral_condDistrib, cfc_real_eq_nnreal, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, MeasureTheory.setIntegral_condExpInd, Seminorm.gaugeSeminorm_ball, InformationTheory.leftDeriv_klFun, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, StarAlgHom.realContinuousMapOfNNReal_apply, AddCircle.exists_norm_nsmul_le, isEquivalent_choose, fourierIntegral_continuousLinearMap_apply, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, MeasureTheory.Integrable.integral_norm_comp, ProbabilityTheory.differentiableAt_mgf, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_eq, MeasureTheory.L1.setToL1_eq_setToL1SCLM, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, RCLike.imLm_coe, MeasureTheory.L1.setToL1_nonneg, differentiable_cos, MeasureTheory.MemLp.neg_part, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, isAddFundamentalDomain_Ioc, HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, intervalIntegral.integrableOn_Ioo_rpow_iff, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, AddCircle.norm_coe_mul, CompactlySupportedContinuousMap.nnrealPart_add_le_add_nnrealPart, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, ContDiffBump.convolution_tendsto_right, ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_univ, MeasureTheory.L1.integral_def, hasDerivAt_abs_rpow, signedDist_eq_zero_of_orthogonal, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, ZSpan.volume_fundamentalDomain, StrictMonoOn.exists_slope_lt_deriv_aux, MeasureTheory.L1.SimpleFunc.setToL1S_smul_real, ProbabilityTheory.covarianceBilin_zero, CFC.posPart_algebraMap_nnreal, hasFDerivAt_fourier, VectorFourier.differentiable_fourierIntegral, HasDerivAt.log, AddCircle.norm_half_period_eq, Differentiable.sin, deriv_Gamma_nat, MeasureTheory.integrable_add_iff_of_nonneg, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, ProbabilityTheory.memLp_two_of_variance_ne_zero, MeasureTheory.eLpNorm_one_le_of_le', Distribution.delta_eq_zero_of_notMem, fourierIntegral_convergent_iff', integrable_rpow_neg_one_add_norm_sq, HasStrictDerivAt.sin, hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, Bundle.ContMDiffRiemannianMetric.symm, HasDerivWithinAt.sqrt, hasDerivAt_qaryEntropy, MeasureTheory.lintegral_nnnorm_condExpL2_le, Monotone.ae_hasDerivAt, AffineSubspace.signedInfDist_eq_signedDist_of_mem, MeasureTheory.L1.setToFun_eq_setToL1, one_mem_posTangentConeAt_iff_mem_closure, integrable_sinc, RealRMK.rieszMeasure_le_of_eq_one, DifferentiableAt.log, not_IntegrableOn_Ici_inv, Set.OrdConnected.image_derivWithin, HasFDerivAt.abs, MeasureTheory.memLp_two_iff_integrable_sq, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, MeasureTheory.L1.integral_eq_setToL1, Affine.Simplex.signedInfDist_apply_self, VectorFourier.iteratedFDeriv_fourierIntegral, differentiableAt_rpow_of_ne, ProbabilityTheory.integrable_pow_abs_mul_exp_of_mem_interior_integrableExpSet, CFC.sqrt_eq_one_iff, HasFDerivWithinAt.abs, ContDiffBump.normed_convolution_eq_right, ProbabilityTheory.gaussianReal_map_linearMap, differentiableAt_log, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, CStarAlgebra.norm_posPart_le, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, HarmonicAt.differentiableAt_complex_partial, NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_single, Seminorm.comp_smul, IsGreatest.nnnorm_cfcₙ_nnreal, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_integrable_exp_mul, ProbabilityTheory.IsGaussian.charFun_eq', deriv_neg_left_of_sign_deriv, deriv_inv_log, ProbabilityTheory.covarianceBilinDual_eq_covariance, signedDist_zero, StieltjesFunction.measurable_measure, mellin_convergent_of_isBigO_scalar, MeasureTheory.condExpL1CLM_indicatorConstLp, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, CompactlySupportedContinuousMap.toRealLinearMap_apply, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, MeasureTheory.Integrable.integral_norm_prod_left, frontier_range_modelWithCornersEuclideanHalfSpace, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, AddCircle.instIsUnifLocDoublingMeasureRealVolume, ProbabilityTheory.covarianceBilinDual_zero, MeasureTheory.L1.setToL1_add_left', HasStrictDerivAt.exp, RealRMK.integral_rieszMeasure, CFC.continuous_abs, EuclideanSpace.instIsManifoldSphere, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, isEquivalent_sin, DifferentiableWithinAt.abs, HasDerivAt.cosh, continuousOn_cfc_nnreal, MeasureTheory.L1.setToL1_mono_left, differentiable_exp, MeasureTheory.condExpInd_disjoint_union, fderivWithin_cos, ProbabilityTheory.differentiableOn_mgf, abs_mulExpNegMulSq_comp_le_norm, hasStrictDerivAt_arcosh, MeasureTheory.Integrable.integral_norm_condExpKernel, differentiableAt_cos, innerₗ_apply, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, totallyBounded_absConvexHull, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, ModularGroup.lcRow0Extend_apply, deriv_log', cfc_nnreal_eq_real, one_div_sub_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_condVar, ProbabilityTheory.integral_id_multivariateGaussian, ProbabilityTheory.integrable_exp_abs_mul_abs_add, Seminorm.bound_of_continuous, MeasureTheory.integrable_of_le_of_le, DifferentiableOn.log, cfcₙ_real_eq_complex, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, StrictMonoOn.exists_deriv_lt_slope_aux, Bundle.ContMDiffRiemannianMetric.pos, HasStrictFDerivAt.sqrt, signedDist_triangle_left, IsContMDiffRiemannianBundle.exists_contMDiff, MeasureTheory.SignedMeasure.singularPart_add, HasDerivWithinAt.arsinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, deriv2_binEntropy, HasDerivAt.exp, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, DifferentiableAt.sqrt, HasStrictFDerivAt.rpow, ContinuousMap.sup_mem_closed_subalgebra, contMDiff_subtype_coe_Icc, hasDerivAt_arcsin, cfcₙ_comp_re, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, ProperCone.innerDual_singleton, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eq, cfc_comp_im, CFC.abs_natCast, CStarAlgebra.isStrictlyPositive_iff_isStrictlyPositive_sqrt_and_eq_sqrt_mul_sqrt, hasDerivAt_tan, deriv_tan_sub_id, AddCircle.volume_closedBall, leftDeriv_mul_log, differentiableAt_Gamma, HasDerivAt.cos, orthogonalBilin_innerₗ, hasStrictDerivAt_cosh, ConvexOn.real_univ_sSup_of_countable_affine_eq, NumberField.mixedEmbedding.mem_span_latticeBasis, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.MemLp.integrable_sq, BoundedContinuousFunction.exists_norm_eq_restrict_eq_of_closed, ProbabilityTheory.covarianceBilin_comm, HasStrictDerivAt.cosh, ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, BoundedContinuousFunction.neg_norm_le_apply, gradient_eq_deriv', QuadraticForm.equivalent_one_zero_neg_one_weighted_sum_squared, Chebyshev.integrableOn_theta_div_id_mul_log_sq, DifferentiableWithinAt.arctan, hasStrictDerivAt_log, MonotoneOn.intervalIntegrable_slope, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, SchwartzMap.smulRightCLM_apply_apply, differentiableOn_Gamma_Ioi, differentiableOn_mul_log, MeasureTheory.setToFun_smul_left, InformationTheory.klDiv_def, HasDerivAt.complexToReal_fderiv', MeasureTheory.Integrable.norm_integral_condKernel, RCLike.abs_wInner_le, MeasureTheory.L1.setToL1_smul_left', ConvexOn.slope_le_leftDeriv, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, ProbabilityTheory.memLp_id_gaussianReal', fderiv_norm_smul_neg, deriv_mulExpNegMulSq, ProbabilityTheory.iIndepFun.integrable_exp_mul_sum, NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top, cfcₙ_comp_im, dense_differentiableAt_norm, MeasureTheory.SignedMeasure.re_toComplexMeasure, 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, StarAlgHom.realContinuousMapOfNNReal_apply_comp_toReal, Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, deriv_qaryEntropy, InformationTheory.integrable_llr_compProd_iff, deriv_arctan, monotoneOn_deriv_descPochhammer_eval, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left, HasDerivWithinAt.rpow, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, Differentiable.arctan, BoundedContinuousFunction.abs_self_eq_nnrealPart_add_nnrealPart_neg, ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, NumberField.mixedEmbedding.negAt_apply_isComplex, ProbabilityTheory.hasFiniteIntegral_compProd_iff', MeasureTheory.integrableOn_Ioi_deriv_of_nonpos', Matrix.inner_toEuclideanCLM, ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, not_integrableOn_Ioi_rpow, Continuous.cfc_nnreal_of_mem_nhdsSet, IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus, MeasureTheory.Measure.integrable_measure_prodMk_left, MeasureTheory.norm_condExpInd_apply_le, differentiableAt_log_iff, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, HasFDerivWithinAt.log, Orientation.areaForm'_apply, Continuous.cfcₙ_nnreal, StrictConcaveOn.slope_lt_of_hasDerivAt, signedDist_smul_of_pos, MeasureTheory.BorelCantelli.integrable_process, Distribution.mapCLM_apply, Asymptotics.IsEquivalent.log, hasStrictDerivAt_const_rpow_of_neg, UpperHalfPlane.σ_neg, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', MeasureTheory.MemLp.integrable_norm_rpow, HasDerivAt.sinh, InformationTheory.integrable_llr_of_integrable_llr_compProd, MeasureTheory.dist_convolution_le, intervalIntegral.integral_hasStrictFDerivAt, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_apply, signedDist_lineMap_lineMap, Complex.ofRealCLM_apply, MeasureTheory.IntegrableAtFilter.norm, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, mfderiv_coe_sphere_injective, cfcHom_real_eq_restrict, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, NumberField.Units.regOfFamily_of_isMaxRank, ContinuousAt.cfcₙ_nnreal, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, tendsto_integral_mul_one_add_inv_smul_sq_pow, derivWithin_cos, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, fourier_fderiv, 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, MeasureTheory.integrable_prod_iff, ConvexOn.monotoneOn_deriv, instCStarRingReal, HasFDerivWithinAt.norm_sq, CFC.abs_algebraMap, ProbabilityTheory.integrable_exp_mul_of_nonpos_of_ge, LipschitzWith.coordinate, differentiableAt_abs_neg, BoundedContinuousFunction.apply_le_norm, ProbabilityTheory.isGaussian_gaussianReal, derivWithin_const_rpow, norm_fderiv_norm_rpow_le, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, StrongDual.extendRCLikeₗ_apply, hasStrictDerivAt_abs, Matrix.IsHermitian.cfcAux_apply, Polynomial.Chebyshev.integrable_measureT, LipschitzOnWith.extend_lp_infty, Bundle.RiemannianMetric.symm, MeasureTheory.condExpIndL1_smul, deriv_rpow_const, hasDerivAt_cos, Differentiable.sigmoid, AffineSubspace.signedInfDist_eq_const_of_mem, ProbabilityTheory.HasSubgaussianMGF.integrable, IsStrictlyPositive.nnrpow, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, ContinuousMap.sup_mem_subalgebra_closure, AddCircle.exists_norm_eq_of_isOfFinAddOrder, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, DifferentiableOn.norm_sq, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, Differentiable.norm_rpow, hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, ProbabilityTheory.variance_continuousLinearMap_gaussianReal, differentiableWithinAt_arcsin_Ici, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, InformationTheory.klDiv_ne_top_iff, derivWithin_exp, MeasureTheory.integrable_conv_iff, ConvexOn.integrable_apply_rnDeriv_of_integrable_compProd, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, HasStrictFDerivAt.arctan, CFC.monotoneOn_one_sub_one_add_inv_real, IsMIntegralCurveAt.hasMFDerivAt, deriv_neg_right_of_sign_deriv, SpectrumRestricts.real_iff, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, deriv_abs_pos, derivWithin_rpow_const, ContinuousWithinAt.cfcₙ_nnreal, DifferentiableOn.sinh, MeasureTheory.convolution_mono_right_of_nonneg, exists_polynomial_near_continuousMap, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, MeasureTheory.Measure.integrable_compProd_iff, ContinuousMap.inf_mem_subalgebra_closure, differentiableAt_cosh, ProbabilityTheory.covarianceBilin_self_nonneg, DifferentiableOn.abs, HasDerivAt.norm_sq, GromovHausdorff.ghDist_eq_hausdorffDist, ProbabilityTheory.integral_linearMap_gaussianReal, AddCircle.coe_real_preimage_closedBall_inter_eq, nnnorm_mul_toNNReal, ContinuousMap.inf_mem_closed_subalgebra, CFC.continuousOn_nnrpow, Polynomial.hermite_eq_deriv_gaussian', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', fderiv_exp, Differentiable.log, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, MeasureTheory.integrable_toReal_of_lintegral_ne_top, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, ProbabilityTheory.measurable_measure_stieltjesOfMeasurableRat, Orientation.areaForm_comp_linearIsometryEquiv, hasStrictFDerivAt_norm_sq, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', SchwartzMap.fourier_evalCLM_eq, deriv_exp, QuasispectrumRestricts.real_iff, ContinuousMap.exists_mem_subalgebra_near_continuous_of_isCompact_of_separatesPoints, deriv_sinh, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, range_cfcₙ_nnreal_eq_image_cfcₙ_real, SchwartzMap.evalCLM_apply_apply, StrictConcaveOn.derivWithin_lt_slope, HasStrictDerivAt.log, DifferentiableAt.cosh, Filter.Tendsto.cfcₙ_nnreal, UpperHalfPlane.volume_eq_lintegral, StrictConvexOn.slope_lt_derivWithin, hasDerivAt_rpow_const, toNNReal_mul_nnnorm, MeasureTheory.Integrable.re_im_iff, ConvexOn.slope_le_of_hasDerivWithinAt, differentiableAt_norm_smul, fderivWithin.log, MeasureTheory.HasFiniteIntegral.norm, iter_deriv_exp, HasFDerivWithinAt.sinh, differentiable_iteratedDeriv_cos, Differentiable.norm_sq, IsUnit.cfcNNRpow, RCLike.norm_wInner_le, ProbabilityTheory.IsGaussian.memLp_dual, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, Module.Dual.extendRCLikeₗ_apply, TestFunction.lineDerivCLM_eq_fderivCLM, isTheta_deriv_rpow_const_atTop, ProbabilityTheory.covarianceBilinDual_self_nonneg, IccLeftChart_extend_bot, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, HasFDerivAt.log, HasDerivWithinAt.arctan, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, KuratowskiEmbedding.embeddingOfSubset_isometry, DifferentiableOn.cos, signedDist_lineMap_left, ProbabilityTheory.covarianceBilin_real_self, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le, ContinuousOn.cfc_nnreal, MeasureTheory.setIntegral_condExpL1CLM_of_measure_ne_top, nnnorm_cfcₙ_nnreal_lt_iff, tendsto_rightDeriv_mul_log_atTop, hasStrictDerivAt_arsinh, MeasureTheory.condExp_ae_eq_condExpL1CLM, MeasureTheory.Integrable.integral_norm_compProd, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, integrable_rpow_mul_exp_neg_mul_sq, NumberField.mixedEmbedding.span_latticeBasis, RCLike.realLinearIsometryEquiv_symm_apply, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, InformationTheory.klDiv_eq_integral_klFun, ConcaveOn.le_slope_of_hasDerivWithinAt, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, VectorFourier.fourierSMulRight_apply, ProbabilityTheory.integrable_exp_mul_of_le_of_le, BumpCovering.exists_finset_toPartitionOfUnity_eventuallyEq, ProbabilityTheory.evariance_def', MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, GromovHausdorff.eq_toGHSpace, Seminorm.closedBall_smul, MeasureTheory.L1.tendsto_setToL1, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le', MeasureTheory.condExpL1CLM_indicatorConst, nnnorm_cfc_nnreal_lt, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, MeasureTheory.L1.nnnorm_Integral_le_one, HasFDerivAt.exp, Manifold.riemannianEDist_def, signedDist_anticomm, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, Orientation.areaForm_comp_rightAngleRotation, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, modelWithCornersEuclideanHalfSpace_zero, IsStrictlyPositive.sqrt, UnitAddCircle.mem_approxAddOrderOf_iff, ContinuousLinearMap.norm_extendTo𝕜'_bound, differentiableAt_arctan, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, differentiableWithinAt_abs_neg, MeasureTheory.L1.setToL1_unique, differentiableOn_negMulLog, IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d, UpperHalfPlane.denom_neg, ProbabilityTheory.integrable_exp_mul_gaussianReal, MeasureTheory.integrable_add_iff_of_nonpos, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, cfcₙ_real_eq_nnreal, HasDerivAt.arsinh, cfc_comp_re, ProbabilityTheory.instIsProbabilityMeasureCondCDF, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, StrongDual.extendRCLikeₗᵢ_symm_apply, rightDeriv_mul_log, ProbabilityTheory.Kernel.integrable_density, nnnorm_cfc_nnreal_le, ProbabilityTheory.hasFiniteIntegral_prodMk_left, IsSelfAdjoint.norm_eq_max_norm_posPart_negPart, ContinuousOn.cfcₙ_nnreal_of_mem_nhdsSet, AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, ProbabilityTheory.hasFiniteIntegral_comp_iff', Continuous.cfc_nnreal, hasStrictDerivAt_abs_neg, Orientation.inner_rightAngleRotation_left, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DifferentiableWithinAt.abs_of_neg, nnnorm_cfc_nnreal_le_iff, DifferentiableWithinAt.cosh, AddCircle.norm_coe_eq_abs_iff, ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mul, HasDerivAt.rpow, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left', ProbabilityTheory.integrable_pow_of_mem_interior_integrableExpSet, MeasureTheory.condExpL1CLM_lpMeas, fderivWithin_exp, CFC.sqrt_sq, ProbabilityTheory.covarianceBilin_apply_pi, ProbabilityTheory.exp_neg_integrableOn_Ioc, ProbabilityTheory.deriv_mgf, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.Integrable.norm_integral_condDistrib_map, CFC.rpow_sqrt_nnreal, MeasureTheory.L1.setToL1_apply_coeToLp, differentiableWithinAt_arcsin_Iic, signedDist_triangle_right, Polynomial.hermite_eq_deriv_gaussian, isCompact_closedAbsConvexHull_of_totallyBounded, ProbabilityTheory.hasFiniteIntegral_comp_iff, Complex.conjCLE_nnorm, StrongDual.extendRCLikeₗ_symm_apply, HasStrictDerivAt.complexToReal_fderiv', StrictConcaveOn.strictAntiOn_deriv, contMDiffWithinAt_comp_projIcc_iff, Orientation.inner_mul_areaForm_sub', hasFDerivAt_polarCoord_symm, ConcaveOn.slope_le_derivWithin, HasFDerivWithinAt.rpow_const, MeasureTheory.HasFiniteIntegral.of_mem_Icc, ConvexOn.real_univ_sSup_affine_eq, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, deriv_arcsin, abs_signedDist_eq_dist_iff_vsub_mem_span, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, AddCircle.closedBall_eq_univ_of_half_period_le, ConvexOn.monotoneOn_leftDeriv, ContinuousMap.toNNReal_mul_add_neg_mul_add_mul_neg_eq, MeasureTheory.L1.setToL1_congr_left', IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, differentiable_sin, AkraBazziRecurrence.isEquivalent_one_sub_smoothingFn_one, derivWithin_sin, ProbabilityTheory.integrable_exp_mul_abs_add, HasFDerivAt.sinh, integrableOn_Ioi_rpow_iff, eulerMascheroniConstant_eq_neg_deriv, deriv_const_rpow, not_differentiableAt_inv_log_zero, Orientation.abs_areaForm_le, deriv_mul_log, ContinuousMapZero.toNNReal_mul_add_neg_mul_add_mul_neg_eq, ContinuousLinearMap.norm_extendTo𝕜', integrableOn_rpow_mul_exp_neg_rpow, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, ContinuousMapZero.toContinuousMapHom_toNNReal, Convex.image_derivWithin, MeasureTheory.Integrable.integral_norm_condDistrib, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, signedDist_neg, ProbabilityTheory.covarianceBilin_apply_basisFun, ProbabilityTheory.IsRatCondKernelCDFAux.integrable, integrableOn_exp_mul_Ioi, ProbabilityTheory.measure_cdf, ProbabilityTheory.IsCondKernelCDF.integrable, ProbabilityTheory.integrable_of_mem_integrableExpSet, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, differentiableAt_tan, differentiable_cosh, NumberField.mixedEmbedding.negAt_symm, IsSelfAdjoint.instIsometricContinuousFunctionalCalculus, DifferentiableAt.rpow, VectorFourier.contDiff_fourierIntegral, ProbabilityTheory.integrable_exp_abs_mul_abs, MeasureTheory.L1.setToL1_congr_left, ConcaveOn.leftDeriv_le_slope, ProbabilityTheory.integrable_compProd_iff, ProbabilityTheory.variance_dual_stdGaussian, RCLike.instStarModuleReal, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, MeasureTheory.L1.setToL1_smul, ConcaveOn.derivWithin_le_slope, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, MeasureTheory.MemLp.norm_rpow_div, Diffeology.isPlot_iff_contDiff, signedDist_vsub_self_rev, HasFDerivAt.rpow_const, ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, norm_fderiv_norm, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, eventually_enorm_mfderiv_extChartAt_lt, StrongDual.extendRCLikeₗᵢ_apply, ContinuousOn.cfcₙ_nnreal', DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, signedDist_linear_apply, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, hasDerivAt_log, oneTangentSpaceIcc_def, HasStrictFDerivAt.const_rpow, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, IccRightChart_extend_top_mem_frontier, ConcaveOn.deriv_le_slope, CompactlySupportedContinuousMap.toReal_add, NumberField.mixedEmbedding.volume_negAt_plusPart, ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_Iic, range_cfc_nnreal, DifferentiableAt.differentiableAt_norm_of_smul, MeasureTheory.tendsto_eLpNorm_condExp, HasStrictFDerivAt.cos, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, signedDist_self, MeasureTheory.MemLp.norm, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left', ProperCone.dual_flip_dual, ProbabilityTheory.measure_stieltjesOfMeasurableRat_univ, RCLike.ofRealCLM_norm, integrable_inv_one_add_sq, deriv_cos, signedDist_vsub_self, DifferentiableAt.arsinh, MeasureTheory.SignedMeasure.rnDeriv_smul, ProbabilityTheory.integrable_rpow_abs_of_integrable_exp_mul, Affine.Simplex.exists_forall_signedInfDist_eq_iff_eq_incenter, signedDist_smul, MeasureTheory.eLpNorm_mono_ae_real, HasFDerivWithinAt.arsinh, hasStrictDerivAt_arctan, LipschitzOnWith.coordinate, CFC.abs_ofNat, ZLattice.volume_image_eq_volume_div_covolume, StrictConcaveOn.strictAntiOn_derivWithin, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, map_linearMap_volume_pi_eq_smul_volume_pi, TestFunction.fderivCLM_eq_of_scalars, CFC.negPart_one, Euclidean.closedBall_eq_preimage, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, ProbabilityTheory.memLp_id_gaussianReal, intervalIntegral.differentiable_integral_of_continuous, LipschitzWith.locallyIntegrable_lineDeriv, AddCircle.norm_neg_period, SmoothBumpCovering.embeddingPiTangent_injOn, MeasureTheory.memLp_norm_rpow_iff, MeasureTheory.measureReal_abs_dual_gt_le_integral_charFunDual, ContinuousMapZero.toNNReal_add_add_neg_add_neg_eq, ConcaveOn.slope_le_of_hasDerivWithinAt, hasDerivAt_mulExpNegMulSq, MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar, fourierIntegral_fderiv, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, cfcₙHom_real_eq_restrict, CFC.abs_algebraMap_nnreal, MeasureTheory.ComplexMeasure.im_apply, differentiableOn_arccos, IsLocalMin.deriv_eq_zero, hasDerivAt_cosh, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, tendsto_deriv_mul_log_atTop, HasFDerivAt.sin, Orientation.abs_areaForm_of_orthogonal, MeasureTheory.AECover.integrable_of_integral_tendsto_of_nonneg_ae, LipschitzOnWith.ae_differentiableWithinAt_real, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, UnitAddCircle.norm_eq, innerₗ_apply_apply, MeasureTheory.eLpNorm_norm_rpow, StrictConvexOn.lt_slope_of_hasDerivWithinAt, SchwartzMap.tsupport_fderivCLM_subset, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, CompactlySupportedContinuousMap.toNNRealLinear_apply, bilinFormOfRealInner_orthogonal, Complex.conjCLE_enorm, differentiableWithinAt_arccos_Iic, CFC.nnnorm_rpow, MeasureTheory.aestronglyMeasurable_condExpL1CLM, Continuous.cfcₙ_nnreal_of_mem_nhdsSet, mdifferentiableWithinAt_comp_projIcc_iff, HasDerivWithinAt.limsup_slope_le', Orientation.inner_sq_add_areaForm_sq, enorm_exp_I_mul_ofReal_sub_one_le, signedDist_smul_of_neg, RCLike.reLm_coe, ProbabilityTheory.integrable_rpow_mul_exp_of_integrable_exp_mul, nnnorm_fderiv_norm_rpow_le, differentiableAt_abs_pos, Differentiable.exp, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, integrableOn_exp_neg_Ioi, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, MeasureTheory.MemLp.re, HasFDerivAt.hasFDerivAt_norm_smul, CStarAlgebra.isStrictlyPositive_iff_isUnit_sqrt_and_eq_sqrt_mul_sqrt, cfc_comp_norm, AkraBazziRecurrence.isEquivalent_smoothingFn_sub_self, CFC.abs_intCast, apply_le_nnnorm_cfc_nnreal, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.integrable_prod_iff', hahnEmbedding_isOrderedModule_rat, ConvexOn.derivWithin_le_slope, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, HasFDerivWithinAt.sqrt, Affine.Simplex.sign_signedInfDist_touchpoint_empty, MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq, range_cfc_nnreal_eq_image_cfc_real, signedDist_vadd_right_swap, hasFDerivAt_fourierIntegral, differentiable_mulExpNegMulSq, ContinuousMap.neg_norm_le_apply, AddCircle.coe_real_preimage_closedBall_period_zero, integrable_of_isBigO_exp_neg, differentiableAt_arccos, ConvexOn.real_univ_sSup_of_nat_affine_eq, fderivWithin_sqrt, not_DifferentiableAt_log_mul_zero, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, MeasureTheory.eLpNorm_one_le_of_le, Euclidean.ball_eq_preimage, fderiv_sinh, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, MeasureTheory.hasFiniteIntegral_toReal_iff, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, ProbabilityTheory.covarianceBilin_of_not_memLp, InformationTheory.rightDeriv_klFun, interior_range_modelWithCornersEuclideanHalfSpace, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, ConvexOn.real_sSup_of_countable_affine_eq, MeasureTheory.L1.norm_setToL1_le_mul_norm', AddCircle.addWellApproximable_ae_empty_or_univ, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, hasDerivAt_Gamma_one, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, hasStrictDerivAt_cos, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, IntervalIntegrable.intervalIntegrable_slope, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, not_differentiableAt_rpow_const_zero, Differentiable.dist, ProbabilityTheory.condVar_of_sigmaFinite, Differentiable.sqrt, RightDerivMeasurableAux.differentiable_set_eq_D, StarAlgHom.realContinuousMapOfNNReal_injective, MeasureTheory.AECover.integrable_of_integral_bounded_of_nonneg_ae, HasFDerivWithinAt.arctan, intervalIntegral.integrableOn_deriv_right_of_nonneg, MeasureTheory.HasFiniteIntegral.max_zero, mellin_convergent_iff_norm, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, ProbabilityTheory.iteratedDeriv_two_cgf, DifferentiableWithinAt.rpow_const, MeasureTheory.Integrable.pos_part, measurableSet_of_differentiableWithinAt_Ioi, HasFDerivWithinAt.rpow, differentiable_iteratedDeriv_sin, ProbabilityTheory.deriv_mgf_zero, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, deriv_sigmoid, exists_ratio_deriv_eq_ratio_slope', ProperCone.dual_dual_flip, flip_innerₗ, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le, intervalIntegral.fderivWithin_integral_of_tendsto_ae, NNReal.orderIsoRpow_symm_eq, MeasureTheory.LocallyIntegrableOn.norm, Orientation.volumeForm_robust', CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁, MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_measure, CFC.spectrum_abs, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, DifferentiableOn.arctan, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, signedDist_vadd_left, Diffeology.IsPlot.contDiff, ModularGroup.tendsto_lcRow0, ProbabilityTheory.integrable_kernel_prodMk_left, ContDiffBump.convolution_eq_right, ProbabilityTheory.deriv_cgf, Complex.imCLM_coe, DifferentiableOn.cosh, intervalIntegral.integral_hasFDerivWithinAt, SmoothBumpCovering.embeddingPiTangent_injective, ProbabilityTheory.memLp_tilted_mul, instContinuousMapUniqueHom, HasDerivWithinAt.rpow_const, ProbabilityTheory.covarianceBilin_apply, ProbabilityTheory.measure_stieltjesOfMeasurableRat_Iic, HasFDerivAt.cos, DifferentiableWithinAt.arsinh, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, MeasureTheory.L1.norm_setToL1_le', AkraBazziRecurrence.isEquivalent_one_add_smoothingFn_one, TestFunction.fderivCLM_apply_of_gt, MeasureTheory.withDensitySMulLI_apply, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', hasDerivAt_gronwallBound, ContinuousMap.comp_attachBound_mem_closure, exists_deriv_eq_slope', hasDerivAt_norm_rpow, differentiableAt_tan_of_mem_Ioo, not_continuousAt_deriv_qaryEntropy_zero, NumberField.mixedEmbedding.latticeBasis_apply, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, signedDist_apply_linear_apply, Matrix.IsHermitian.cfcAux_id, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, ProbabilityTheory.covarianceBilin_map, BoundedContinuousFunction.integral_add_const, AffineSubspace.signedInfDist_singleton, Seminorm.bound_of_shell_sup, ContinuousMap.apply_le_norm, MeasureTheory.AEStronglyMeasurable.integrable_truncation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, HasFDerivAt.const_rpow, SchwartzMap.fderivCLM_fourier_eq, Bundle.ContinuousRiemannianMetric.pos, Seminorm.gauge_ball, Convex.image_deriv, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, deriv_cos, IsCoercive.continuousLinearEquivOfBilin_apply, integrableOn_Ioi_exp_neg_mul_sq_iff, Orientation.volumeForm_zero_neg, CFC.abs_of_mem_unitary, BoundedContinuousFunction.nnnorm_coeFn_eq, differentiableAt_binEntropy, ContDiffBump.dist_normed_convolution_le, QuadraticForm.equivalent_sign_ne_zero_weighted_sum_squared, hasDerivAt_arctan', Orientation.areaForm_map, enorm_rpow_of_nonneg, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, deriv_bernoulliFun, NNReal.nnnorm_eq, det_fderivPiPolarCoordSymm, deriv2_qaryEntropy, differentiableAt_exp, hasStrictDerivAt_arcsin, ConvexOn.slope_le_of_hasDerivAt, NumberField.mixedEmbedding.commMap_apply_of_isReal, ZSpan.fundamentalDomain_pi_basisFun, LipschitzWith.ae_differentiableAt_of_real, Seminorm.finset_sup_smul, MeasureTheory.Measure.integrable_comp_iff, Bundle.RiemannianMetric.pos, ContDiffMapSupportedIn.fderivLM_apply, Seminorm.isBounded_sup, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, CFC.sqrt_eq_cfc, MeasureTheory.condExpInd_smul', HasFDerivAt.arsinh, UpperHalfPlane.det_J, MeasureTheory.integrable_norm_pow_of_le, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.L1.setToL1_add_left, differentiable_iteratedDeriv_cosh, hasStrictDerivAt_sin, DifferentiableAt.abs, BoundedContinuousFunction.add_norm_nonneg, MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt, Complex.equivRealProdCLM_symm_apply_re, MeasureTheory.hasFiniteIntegral_prod_iff, DifferentiableAt.cos, MeasureTheory.integrable_llr_tilted_right, Filter.Tendsto.cfc_nnreal, IsSelfAdjoint.instContinuousFunctionalCalculus, ContDiffPointwiseHolderAt.fderiv, CompactlySupportedContinuousMap.toReal_smul, Orientation.inner_rightAngleRotationAux₁_right, hasFDerivAt_pi_polarCoord_symm, BoundedContinuousFunction.norm_sub_nonneg, NumberField.mixedEmbedding.latticeBasis_repr_apply, CFC.abs_eq_cfcₙ_norm, MeasureTheory.MemLp.im, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, continuousOn_cfcₙ_nnreal, DifferentiableWithinAt.norm_sq, fourierIntegral_continuousLinearMap_apply', ConvexOn.deriv_le_slope, ProbabilityTheory.integrable_pow_abs_mul_exp_of_integrable_exp_mul, CFC.abs_sq, signedDist_right_lineMap, ConvexOn.rightDeriv_le_slope, ProbabilityTheory.uncenteredCovarianceBilin_zero, differentiable_fourierChar, VectorFourier.fourierPowSMulRight_apply, OrthonormalBasis.norm_dual, DifferentiableOn.sin, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, deriv_cos', isBigO_deriv_rpow_const_atTop, DifferentiableOn.dist, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, deriv_rpow_const', StrictConcaveOn.lt_slope_of_hasDerivWithinAt, NumberField.mixedEmbedding.normAtPlace_negAt, differentiableAt_arcosh, MeasureTheory.L1.norm_setToL1_le_mul_norm, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, IsLocalMaxOn.fderivWithin_eq_zero, AlternatingMap.measure_def, MeasureTheory.Integrable.of_mem_Icc, Seminorm.bound_of_shell_smul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left', AddCircle.norm_le_half_period, hasStrictDerivAt_sqrt, Orientation.areaForm_map_complex, BumpCovering.exists_finset_toPOUFun_eventuallyEq, DifferentiableOn.rpow_const, hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, NumberField.mixedEmbedding.finrank, iter_deriv_rpow_const, Complex.imCLM_nnnorm, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, Orientation.inner_rightAngleRotation_right, CStarAlgebra.isStrictlyPositive_TFAE, hasDerivAt_exp, fourierSubalgebra_closure_eq_top, fderiv_sqrt, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, ProbabilityTheory.HasSubgaussianMGF.memLp, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Orientation.volumeForm_apply_le, MeasureTheory.lintegral_enorm_le_liminf_of_tendsto, MeasureTheory.norm_condExpInd_le, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, ProbabilityTheory.Kernel.eLpNorm_density_le, CStarAlgebra.norm_negPart_le, NumberField.mixedEmbedding.negAt_apply_norm_isReal, cfcₙ_nnreal_eq_real, CFC.sqrt_algebraMap, CFC.posPart_algebraMap, CFC.sqrt_one, UnitAddCircle.mem_addWellApproximable_iff, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, CFC.nnrpow_eq_cfcₙ_real, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, StieltjesFunction.ae_hasDerivAt, MeasureTheory.condExpInd_disjoint_union_apply, ProbabilityTheory.measure_condCDF_Iic, polynomialFunctions.topologicalClosure, differentiableAt_negMulLog, Orientation.kahler_apply_apply, Orientation.inner_rightAngleRotationAux₁_left, MeasureTheory.L1.setToL1_simpleFunc_indicatorConst, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left, exists_embedding_euclidean_of_compact, SimpleGraph.lapMatrix_mulVec_eq_zero_iff_forall_reachable, Orientation.areaForm_apply_self, ProbabilityTheory.measurable_measure_condCDF, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, StrictConvexOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.Integrable.real_toNNReal, ProbabilityTheory.hasFiniteIntegral_compProd_iff, differentiable_fourierChar_neg_bilinear_right, ProbabilityTheory.variance_linearMap_gaussianReal, MeasureTheory.SignedMeasure.integrable_rnDeriv, ConvexOn.monotoneOn_derivWithin, AffineSubspace.signedInfDist_def, NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply, ConcaveOn.slope_le_rightDeriv, MeasureTheory.L1.setToL1_zero_left', ContDiffMapSupportedIn.fderivCLM_apply_of_le, CFC.negPart_def, ProbabilityTheory.integrable_exp_mul_of_le, hasFDerivAt_integral_of_dominated_of_fderiv_le'', ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, MeasureTheory.L1.norm_Integral_le_one, ProbabilityTheory.instIsProbabilityMeasure_stieltjesOfMeasurableRat, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, MeasureTheory.convolution_mono_right, UnitAddTorus.span_mFourier_closure_eq_top, signedDist_lineMap_right, ProbabilityTheory.integral_id_multivariateGaussian', AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Complex.imCLM_enorm, CFC.sqrt_rpow_nnreal, nnnorm_cfc_nnreal_lt_iff, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, CompactlySupportedContinuousMap.nnrealPart_smul_pos, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, ContinuousMap.polynomial_comp_attachBound, VectorFourier.norm_fourierSMulRight_le, BoundedContinuousFunction.norm_normComp, AlternatingMap.measure_parallelepiped, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, KuratowskiEmbedding.embeddingOfSubset_dist_le, Complex.ofRealCLM_enorm, Affine.Simplex.signedInfDist_affineCombination, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, one_div_sub_pow_hasFPowerSeriesOnBall_zero, signedDist_apply, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, MeasureTheory.integrable_right_of_integrable_add_of_nonneg, AddCircle.norm_eq, cfc_real_eq_complex, CFC.norm_rpow, not_integrableOn_Ici_inv, ContinuousMap.toNNReal_neg_one, HasStrictFDerivAt.sin, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, differentiableAt_sinh, signedDist_eq_dist_iff_vsub_mem_span, differentiable_iteratedDeriv_sinh, HasFDerivWithinAt.const_rpow, ContDiffMapSupportedIn.fderivCLM_apply, exp_neg_integrableOn_Ioi, MeasureTheory.L1.setToL1_mono, TestFunction.fderivCLM_apply, fderivWithin_cosh, HasStrictFDerivAt.hasStrictFDerivAt_norm_smul, VectorFourier.norm_fourierPowSMulRight_le, deriv_pos_left_of_sign_deriv, Complex.equivRealProdCLM_symm_apply_im, integrable_exp_neg_mul_sq_iff, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, hasFDerivAt_fourierChar_neg_bilinear_right, ProbabilityTheory.IsMeasurableRatCDF.measurable_measure_stieltjesFunction, ProbabilityTheory.IndepFun.integrable_exp_mul_add, ProbabilityTheory.measure_condCDF_univ, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral, MonotoneOn.nnnorm_cfc, VectorFourier.norm_fourierSMulRight, ProbabilityTheory.integrable_pow_mul_exp_of_mem_interior_integrableExpSet, differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, LinearMap.mem_span_iff_bound, ProbabilityTheory.integrable_toReal_condDistrib, ContinuousOn.cfcₙ_nnreal, MeasureTheory.integrable_toReal_iff, CFC.posPart_def, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zero, CFC.nnrpow_eq_rpow, SchwartzMap.fourier_fderivCLM_eq, exists_deriv_eq_slope, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, integrableOn_rpow_mul_exp_neg_mul_sq, hasStrictDerivAt_tan, CFC.cfcₙ_rpowIntegrand₀₁_eq_cfcₙ_rpowIntegrand₀₁_one, SimpleGraph.isEquivalent_extremalNumber, MeasureTheory.integrable_norm_rpow_of_le, nnnorm_rpow_of_nonneg, NumberField.mixedEmbedding.fundamentalCone.abs_det_fderiv_expMapBasis, ProbabilityTheory.deriv_cgf_zero, DifferentiableOn.exp, NumberField.mixedEmbedding.euclidean.finrank, DifferentiableAt.norm, differentiable_fourierChar_neg_bilinear_left, ContDiffMapSupportedIn.fderivLM_apply_of_le, MeasureTheory.integrable_left_of_integrable_add_of_nonneg, fderiv_norm_smul_pos, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, hasDerivAt_arctan, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_expMap_symm, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, polynomialFunctions_closure_eq_top', NumberField.mixedEmbedding.measurableSet_negAt_plusPart, MeasureTheory.HasFiniteIntegral.min_zero, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.reCLM_norm, range_modelWithCornersEuclideanHalfSpace, ContinuousMapZero.toNNReal_neg_smul, ProbabilityTheory.integrable_pow_abs_mul_exp_add_of_integrable_exp_mul, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, continuousOn_cfc_nnreal_setProd, MeasureTheory.exists_upperSemicontinuous_le_integral_le, ContDiffMapSupportedIn.fderivLM_apply_of_gt, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, ContinuousMap.polynomial_comp_attachBound_mem, HasFDerivAt.sqrt, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, CFC.abs_one, MeasureTheory.integrable_llr_tilted_left, deriv_sin, Orientation.areaForm_rightAngleRotation_right, MeasureTheory.setIntegral_condExpL1CLM, deriv_arcsin_aux, IsLocalMin.fderiv_eq_zero, differentiableAt_qaryEntropy, DifferentiableAt.exp, Affine.Simplex.exists_forall_signedInfDist_eq_iff_excenterExists_and_eq_excenter, BoundedContinuousFunction.charMonoidHom_apply, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, differentiable_arsinh, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, integrable_exp_neg_mul_sq, fderiv_norm_rpow, HasStrictFDerivAt.cosh, hasStrictDerivAt_const_rpow, HasStrictDerivAt.cos, ProbabilityTheory.integrable_rpow_of_integrable_exp_mul, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, AddCircle.closedBall_ae_eq_ball, SchwartzMap.integrable_pow_mul, MeasureTheory.memLp_of_bounded, KuratowskiEmbedding.exists_isometric_embedding, ContinuousMap.toNNReal_add_add_neg_add_neg_eq, MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono, StrictMonoOn.exists_slope_lt_deriv, MeasureTheory.Submartingale.memLp_limitProcess, ContinuousMapZero.toNNReal_smul, integrable_mulExpNegMulSq_comp, AffineSubspace.signedInfDist_apply_self, deriv_pos_right_of_sign_deriv, ProbabilityTheory.covarianceBilinDual_of_not_memLp, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, fderivWithin_arctan, StrictMonoOn.exists_deriv_lt_slope, ModularGroup.lcRow0_apply, Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, ProbabilityTheory.gaussianPDFReal_mul, MeasureTheory.integrable_withDensity_iff, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm, CFC.isUnit_nnrpow_iff, ContMDiff.codRestrict_sphere, differentiable_rpow_const, ProbabilityTheory.integrable_exp_mul_of_mem_Icc, zero_at_infty_vector_fourierIntegral, MeasureTheory.Integrable.norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, AddCircle.norm_eq', ProbabilityTheory.integrable_pow_of_integrable_exp_mul, CFC.monotoneOn_cfcₙ_rpowIntegrand₀₁, UpperHalfPlane.neg_smul, Quaternion.linearIsometryEquivTuple_apply, fderiv_cosh, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, instNonemptySeedRatReal, Differentiable.rpow_const, MeasureTheory.L1.setToL1'_eq_setToL1SCLM, HasStrictFDerivAt.sinh, ContinuousMap.exists_mem_subalgebra_near_continuous_of_separatesPoints, abs_signedDist_le_dist, NumberField.mixedEmbedding.disjoint_span_commMap_ker, mfderiv_subtype_coe_Icc_one, hasStrictFDerivAt_rpow_of_neg, hasStrictDerivAt_rpow_const, intervalIntegral.integral_hasFDerivAt, MeasureTheory.memLp_norm_iff, RCLike.ofRealCLM_coe, ProbabilityTheory.HasCondSubgaussianMGF.integrable_exp_mul, DifferentiableAt.arctan, intervalIntegral.fderiv_integral, Asymptotics.IsEquivalent.rpow, ProbabilityTheory.IsGaussian.charFunDual_eq', ContinuousAt.cfc_nnreal, RealRMK.le_rieszMeasure_tsupport_subset, AffineSubspace.signedInfDist_apply_of_mem, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, hasDerivAt_Gamma_nat, MeasureTheory.L1.SimpleFunc.setToL1SCLM_nonneg, differentiableAt_abs, ConvexOn.real_sSup_of_nat_affine_eq, MeasureTheory.dominatedFinMeasAdditive_weightedSMul, ProbabilityTheory.IsRatCondKernelCDF.integrable, HasFDerivAt.cosh, derivWithin_sinh, not_continuousAt_deriv_qaryEntropy_one, DifferentiableOn.norm, HasDerivAt.sin, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, HasDerivWithinAt.exp, ProbabilityTheory.integrable_cauchyPDFReal, MeasureTheory.MemLp.integrable_norm_pow', signedDist_apply_linear, differentiableAt_sin, Bundle.RiemannianMetric.continuousAt, StrictConcaveOn.leftDeriv_lt_slope, parallelepiped_orthonormalBasis_one_dim, Complex.reCLM_enorm, MeasureTheory.condExpInd_empty, MeasureTheory.integrable_mconv_iff, hasDerivAt_sinh, MeasureTheory.condExpL1CLM_smul, deriv_log_comp_eq_logDeriv, Subalgebra.SeparatesPoints.rclike_to_real, MeasureTheory.eLpNorm'_norm_rpow, polynomialFunctions_closure_eq_top, VectorFourier.hasFDerivAt_fourierChar_smul, InformationTheory.not_differentiableAt_klFun_zero, deriv_cosh, HasFDerivWithinAt.cos, ContinuousWithinAt.cfc_nnreal, IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus, exists_extension_norm_eq, nnnorm_cfcₙ_nnreal_le, CFC.sqrt_eq_real_sqrt, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, deriv_sin, SmoothBumpCovering.embeddingPiTangent_coe, DifferentiableWithinAt.sinh, DifferentiableOn.arsinh, apply_le_nnnorm_cfcₙ_nnreal, ProbabilityTheory.covarianceBilinDual_of_not_memLp', AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, MeasureTheory.Integrable.integral_norm_condKernel, ProbabilityTheory.integrable_gaussianPDFReal, DifferentiableWithinAt.exp, expNegInvGlue.differentiable_polynomial_eval_inv_mul, continuousOn_cfcₙ_nnreal_setProd, DifferentiableWithinAt.rpow, Differentiable.rpow, Orientation.volumeForm_comp_linearIsometryEquiv, CFC.real_exp_eq_normedSpace_exp, CFC.norm_sqrt, norm_fderiv_norm_id_rpow, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, NumberField.Units.basisOfIsMaxRank_fundSystem, CFC.continuousOn_rpow, HasDerivWithinAt.log, NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, Affine.Simplex.signedInfDist_apply_of_ne, signedDist_left_lineMap, deriv_mul_log_zero, NumberField.mixedEmbedding.norm_negAt, MonotoneOn.nnnorm_cfcₙ, VectorFourier.fourierIntegral_fderiv, MeasureTheory.L1.integral_eq, hasDerivAt_sqrt, IccRightChart_extend_top, hasDerivWithinAt_arccos_Iic, ContDiffBump.convolution_tendsto_right_of_continuous, ConcaveOn.slope_le_deriv, measurableSet_of_differentiableWithinAt_Ici, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, boundary_Icc, deriv_sqrt_mul_log', MeasureTheory.L1.setToL1'_apply_coeToLp, differentiableAt_binEntropy_iff_ne_zero_one, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, CFC.nnnorm_nnrpow, SchwartzMap.integrable_pow_mul_iteratedFDeriv, fderiv_fourierChar_neg_bilinear_left_apply, deriv_tan, ConcaveOn.antitoneOn_deriv, MeasureTheory.L1.setToL1_const, exists_measure_rpow_eq_integral, fourierIntegral_continuousMultilinearMap_apply', AddCircle.norm_eq_of_zero, BoundedContinuousFunction.self_eq_nnrealPart_sub_nnrealPart_neg, ProbabilityTheory.integrable_comp_iff, Matrix.PosDef.posDef_sqrt, Differentiable.cos, ConcaveOn.le_slope_of_hasDerivAt, hasStrictDerivAt_exp, CFC.norm_nnrpow, InformationTheory.deriv_klFun, MeasureTheory.L1.setToL1_lipschitz, boundary_product, differentiable_sigmoid, isBigO_norm_restrict_cocompact, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, GromovHausdorff.eq_toGHSpace_iff, MeasureTheory.setToFun_eq, DifferentiableAt.abs_of_pos, MeasureTheory.condExpL2_comp_continuousLinearMap, ConvexOn.real_sSup_affine_eq, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, Commute.cfcₙ_real, one_div_sub_sq_hasFPowerSeriesOnBall_zero, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, MeasureTheory.memLp_re_im_iff, HasFDerivAt.rpow, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, integrable_of_le_of_pow_mul_le, DifferentiableAt.abs_of_neg, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, Unitary.path_apply, RCLike.realLinearIsometryEquiv_apply, derivWithin.log, ProbabilityTheory.mgf_pos_iff, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_ne, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, Orientation.areaForm_rightAngleRotation_left, Differentiable.norm, HasFDerivWithinAt.sin, cfcₙ_complex_eq_real, HasStrictFDerivAt.exp, NumberField.mixedEmbedding.disjoint_negAt_plusPart, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, Matrix.IsHermitian.instContinuousFunctionalCalculus, DifferentiableAt.dist, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, fderiv_sin, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, MeasureTheory.Measure.euclideanHausdorffMeasure_def, CompactlySupportedContinuousMap.exists_add_nnrealPart_add_eq, fderiv_norm_sq, Seminorm.smul_le_smul, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', integrableOn_rpowIntegrand₀₁_Ici, MeasureTheory.condExpL1_eq, ModularGroup.smul_eq_lcRow0_add, deriv_cosh, hasDerivWithinAt_arcsin_Iic, hasDerivAt_abs_pos, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', SimpleGraph.lapMatrix_mulVec_eq_zero_iff_forall_adj, balanced_iff_neg_mem, ProbabilityTheory.charFunDual_stdGaussian, instIsManifoldIcc, Bundle.ContinuousRiemannianMetric.isVonNBounded, MeasureTheory.integrable_rnDeriv_mul_log_iff, integrableAtFilter_rpow_atTop_iff, CFC.rpow_eq_cfc_real, deriv_sqrt, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, Orientation.inner_mul_areaForm_sub, deriv2_sqrt_mul_log, hasStrictDerivAt_log_of_pos, contMDiffOn_projIcc, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left', MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, MeasureTheory.pdf.hasFiniteIntegral_mul, ProbabilityTheory.IsCondKernelCDF.toKernel_apply, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, parallelepiped_single, contMDiff_circleExp, Continuous.cfcₙ_nnreal', HasDerivWithinAt.limsup_slope_le, ProbabilityTheory.instIsProbabilityMeasurecdf, Quaternion.nnnorm_coe, DifferentiableWithinAt.cos, deriv2_negMulLog, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Urysohns.CU.lim_eq_midpoint, MeasureTheory.Measure.integrable_pow_neg_integrablePower, HasFDerivWithinAt.cosh, CFC.isUnit_sqrt_iff, kuratowskiEmbedding.isometry, MeasureTheory.SignedMeasure.rnDeriv_add, integrableOn_rpow_mul_exp_neg_mul_rpow, MeasureTheory.Measure.integrable_toReal_rnDeriv, BoundedContinuousFunction.char_apply, isEquivalent_sinh, HasStrictFDerivAt.rpow_const, intervalIntegral.differentiableOn_integral_of_continuous, differentiable_circleMap, MeasureTheory.Integrable.im, polynomialFunctions.comap_compRightAlgHom_iccHomeoI, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, ProbabilityTheory.integrable_stieltjesOfMeasurableRat, Complex.restrictScalars_toSpanSingleton', differentiableAt_negMulLog_iff, BoundedContinuousFunction.integrable_of_nnreal, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, IsLocalMinOn.fderivWithin_eq_zero, deriv2_mul_log, CFC.rpow_sqrt, Complex.reCLM_apply, hasDerivAt_negMulLog, Orientation.abs_volumeForm_apply_le, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding', StrictConvexOn.slope_lt_of_hasDerivAt, Affine.Simplex.signedInfDist_incenter, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
iSup_fun_mul_eq_iSup_mul_iSup_of_nonneg 📖	mathematical	—	iSup Real instSupSet DFunLike.coe Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring instMul	—	isEmpty_or_nonempty map_mul iSup_of_isEmpty Prod.isEmpty_left MulZeroClass.zero_mul Prod.isEmpty_right MulZeroClass.mul_zero iSup_mul_of_nonneg iSup_nonneg NonnegHomClass.apply_nonneg mul_iSup_of_nonneg Finite.ciSup_prod
iSup_prod_eq_prod_iSup_of_nonneg 📖	mathematical	Finite Real instLE instZero	iSup Real instSupSet Finset.prod instCommMonoid Finset.univ	—	isEmpty_or_nonempty iSup_of_isEmpty Finset.prod_eq_zero_iff instNontrivial IsStrictOrderedRing.noZeroDivisors instIsStrictOrderedRing AddGroup.existsAddOfLE isEmpty_pi le_antisymm ciSup_le Finset.prod_le_prod instZeroLEOneClass IsOrderedRing.toPosMulMono instIsOrderedRing Finite.le_ciSup_of_le le_rfl exists_eq_ciSup_of_finite Classical.nonempty_pi Finset.prod_congr Pi.finite Finite.of_fintype
iSup_prod_eq_prod_iSup_of_nonnegHomClass 📖	mathematical	Finite	iSup Real instSupSet Finset.prod instCommMonoid Finset.univ DFunLike.coe	—	iSup_prod_eq_prod_iSup_of_nonneg NonnegHomClass.apply_nonneg

RingHomIsometric

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_map 📖	mathematical	—	ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing DFunLike.coe RingHom Semiring.toNonAssocSemiring Ring.toSemiring SeminormedRing.toRing RingHom.instFunLike	—	nnnorm_map
ids 📖	mathematical	—	RingHomIsometric Ring.toSemiring SeminormedRing.toRing SeminormedRing.toNorm RingHom.id Semiring.toNonAssocSemiring	—	—
nnnorm_map 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing DFunLike.coe RingHom Semiring.toNonAssocSemiring Ring.toSemiring SeminormedRing.toRing RingHom.instFunLike	—	NNReal.eq norm_map
norm_map 📖	mathematical	—	Norm.norm DFunLike.coe RingHom Semiring.toNonAssocSemiring RingHom.instFunLike	—	—

SeminormedCommRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	—
toCommRing 📖	CompOp	27 math math: Submodule.Quotient.instIsBoundedSMul, MulAlgebraNorm.extends_norm', AlgebraNorm.extends_norm, AlgebraNormClass.map_smul_eq_mul, Seminorm.comp_smul, Asymptotics.IsLittleO.multisetProd, AlgebraNorm.smul', instSeminormClassAlgebraNormSubtypeAlgebraicClosureMemIntermediateFieldNormalClosure, StrongDual.dualPairing_separatingLeft, Multipliable.norm_tprod, Asymptotics.IsBigO.multisetProd, Asymptotics.IsBigO.finsetProd, norm_prod, MulAlgebraNormClass.toSeminormClass, TrivSqZeroExt.instL1IsBoundedSMul, MulAlgebraNormClass.map_smul_eq_mul, PiLp.basis_toMatrix_basisFun_mul, Ideal.Quotient.norm_mk_lt, AlgebraNorm.extends_norm', Asymptotics.IsLittleO.finsetProd, nnnorm_prod, Seminorm.comp_smul_apply, Ideal.Quotient.norm_mk_le, AlgebraNormClass.toSeminormClass, Filter.BoundedAtFilter.prod, MulAlgebraNorm.smul', MulAlgebraNorm.extends_norm
toNonUnitalSeminormedCommRing 📖	CompOp	2812 math math: Polynomial.fderiv, Matrix.l2_opNorm_toEuclideanCLM, IsLocalMaxOn.fderivWithin_nonpos, OrthonormalBasis.singleton_repr, Pi.comul_eq_adjoint, hasFDerivAt_iff_hasDerivAt, MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal, iteratedDeriv_scomp_two, Real.differentiableOn_arcosh, isEquivalent_descFactorial, Real.hasDerivAt_arccos, Differentiable.arsinh, ConvexOn.leftDeriv_le_rightDeriv_of_mem_interior, HasSum.exp, TemperedDistribution.lineDerivOpCLM_eq, BoundedContinuousFunction.tietze_extension_step, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, InformationTheory.integrable_klFun_rnDeriv_iff, Orientation.kahler_map_complex, Polynomial.differentiableWithinAt, DifferentiableOn.zpow, MeasureTheory.Integrable.integral_norm_prod_right, Seminorm.isBounded_const, isConformalMap_conj, MeasureTheory.eLpNorm'_norm, HasDerivWithinAt.clog_real, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, Bundle.ContMDiffRiemannianMetric.isVonNBounded, NormedSpace.isBounded_polar_of_mem_nhds_zero, TensorProduct.enorm_lid, topDualPairing_isContPerfPair, differentiableAt_comp_neg, deriv_exp, Real.integrableOn_rpowIntegrand₀₁_Ioi, Matrix.frobenius_nnnorm_mul, HasMFDerivAt.mul, Bundle.ContMDiffRiemannianMetric.contMDiff, continuousOn_stereoToFun, MeasureTheory.lintegral_enorm_le_of_forall_fin_meas_integral_eq, MonotoneOn.intervalIntegral_slope_le, HasDerivAt.const_rpow, Distribution.delta_apply, ProbabilityTheory.isGaussian_iff_gaussian_charFun, Real.differentiable_arctan, RCLike.map_apply, Real.differentiableAt_mulExpNegMulSq, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, Complex.restrictScalars_one_smulRight', IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, Asymptotics.IsBigOTVS.congr', MeasureTheory.Integrable.fin_nat_prod, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, deriv_arctan, IsometricContinuousFunctionalCalculus.isGreatest_nnnorm_spectrum, Asymptotics.IsEquivalent.zpow, Real.hasFDerivAt_fourierChar_neg_bilinear_left, instIsManifoldRealEuclideanSpaceFinModelWithCornersSelfTopWithTopENatElemHAddNatOfNatSphere, Real.differentiableAt_arcsin, LinearMap.toLinearMap_tracePositiveLinearMap, Complex.linearEquiv_det_conjLIE, Ideal.toCharacterSpace_apply_eq_zero_of_mem, hasStrictFDerivAt_exp_of_mem_ball, DifferentiableWithinAt.log, hasFDerivAt_iff_hasGradientAt, ConvexOn.le_slope_of_hasDerivAt, RCLike.reCLM_apply, HasStrictDerivAt.rpow, NumberField.Units.finrank_eq_rank, StrictConvexOn.slope_lt_leftDeriv, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, Differentiable.fun_div, MeasureTheory.taylor_charFun_two, InnerProductSpace.rankOne_one_left_eq_innerSL, ConvexOn.rightDeriv_le_slope_of_mem_interior, ContinuousMap.abs_mem_subalgebra_closure, Asymptotics.IsThetaTVS.trans_isBigOTVS, hasDerivAt_sqrt_mul_log, StrongDual.norm_extendRCLike, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, Polynomial.isEquivalent_atBot_div, ZSpan.volume_real_fundamentalDomain, ContinuousLinearMap.opNorm_bound_of_ball_bound, Complex.ofRealCLM_coe, Complex.kahler, HasFDerivWithinAt.pow, RightDerivMeasurableAux.D_subset_differentiable_set, Complex.areaForm, finrank_real_complex_fact', EuclideanSpace.orthonormal_single, Real.deriv_negMulLog, Real.hasDerivAt_sigmoid, Polynomial.derivWithin_aeval, complexOfReal_hasDerivWithinAt, AffineMap.hasDerivAtFilter, Matrix.IsHermitian.det_abs, RCLike.ofRealLI_apply, deriv_abs, differentiableAt_zpow, hasFDerivAt_multiset_prod, Asymptotics.IsEquivalent.multisetProd, Stirling.factorial_isEquivalent_stirling, ProbabilityTheory.covarianceBilinDual_apply', Real.nnnorm_deriv_mulExpNegMulSq_le_one, OrthonormalBasis.repr_injective, derivWithin_id', Real.deriv_binEntropy, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, HasDerivWithinAt.liminf_right_slope_le, MeasureTheory.convolution_mul, Complex.ofRealLI_apply, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, DifferentiableOn.sqrt, BoundedContinuousFunction.integral_eq_integral_nnrealPart_sub, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, integrableOn_exp_mul_Iic, ProbabilityTheory.IsGaussian.integrable_dual, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_ne, SchwartzMap.pairing_apply_apply, norm_iteratedFDerivWithin_smul_le, Matrix.cstar_nnnorm_def, AbsolutelyContinuousOnInterval.integral_deriv_eq_sub, ProbabilityTheory.HasSubgaussianMGF.integrable_exp_mul, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, logDeriv_comp, StrongDual.polarSubmodule_eq_setOf, HasStrictDerivAt.pow, DifferentiableAt.div, ContinuousMap.attachBound_apply_coe, Matrix.l2_opNorm_mulVec, Asymptotics.isLittleOTVS_one, ContinuousLinearMap.hasDerivAtFilter, PeriodPair.basis_one, HasDerivAtFilter.comp_hasFDerivAtFilter, StrictConvexOn.deriv_lt_slope, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, Differentiable.cosh, OpenPartialHomeomorph.hasDerivAt_symm, ContDiffBump.integrable, ZLattice.covolume_eq_det_inv, ContinuousLinearMap.integral_apply, HasDerivAt.fun_finset_prod, circleIntegrable_iff, ProbabilityTheory.covarianceBilinDual_apply, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, RCLike.inner_apply', MeasureTheory.MemLp.const_inner, not_integrableOn_Ioi_cpow, MeasureTheory.AEStronglyMeasurable.memLp_truncation, Real.fderiv_fourierChar_neg_bilinear_right_apply, ProbabilityTheory.isGaussian_multivariateGaussian, BoundedContinuousFunction.char_neg, MeasureTheory.iteratedDeriv_charFun_zero, intervalIntegral.fderiv_integral_of_tendsto_ae, flip_innerSL_real, LipschitzWith.memLp_lineDeriv, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, differentiableWithinAt_abs_pos, continuousOn_dslope, StrictConcaveOn.lt_slope_of_hasDerivAt, Module.Dual.extendRCLikeₗ_symm_apply, ProbabilityTheory.integrable_preCDF, SchwartzMap.lineDerivOp_fourier_eq, Orientation.inner_mul_inner_add_areaForm_mul_areaForm, Orientation.areaForm_le, isClosedEmbedding_cfcₙAux, DifferentiableWithinAt.norm, det_fderivPolarCoordSymm, AddChar.wInner_cWeight_self, AddCircle.coe_real_preimage_closedBall_eq_iUnion, innerSL_apply_apply, MeasureTheory.Integrable.neg_part, fderiv_multiset_prod, ProbabilityTheory.covarianceBilin_multivariateGaussian, DifferentiableWithinAt.sqrt, MeasureTheory.Integrable.norm_integral_condExpKernel, LinearMap.adjoint_innerₛₗ_apply, Real.differentiable_sinh, MeasureTheory.mem_L1_toReal_of_lintegral_ne_top, hasDerivAt_neg', AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, ProbabilityTheory.covarianceBilin_apply_eq_cov, iteratedDerivWithin_comp_two, ProbabilityTheory.covarianceBilin_self, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, HasFDerivAt.fun_mul, Asymptotics.IsLittleOTVS.tendsto_div, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, nnnorm_cfcₙ_lt_iff, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, LeftInvariantDerivation.left_invariant', Int.enorm_natCast, StrictConcaveOn.slope_lt_rightDeriv, hasDerivAt_bernoulliFun, Orientation.volumeForm_neg_orientation, derivWithin_fderivWithin, ContDiffBump.integrable_normed, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg, ProbabilityTheory.uncenteredCovarianceBilin_apply, StrongDual.norm_extendRCLike_bound, Real.deriv_log, ContDiff.differentiable_deriv_two, StrictConvexOn.rightDeriv_lt_slope, Submodule.Quotient.instIsBoundedSMul, derivWithin_arctan, FormalMultilinearSeries.derivSeries_coeff_one, Complex.ofRealCLM_norm, Matrix.spectrum_toLpLin, contMDiff_neg_sphere, HasDerivAt.comp_ofReal, not_differentiableAt_norm_zero, rotation_injective, intervalIntegral.integrableOn_deriv_of_nonneg, BoxIntegral.unitPartition.mem_smul_span_iff, ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian, SchwartzMap.bilinLeftCLM_apply, HasDerivAt.comp_hasFDerivAt_of_eq, InnerProductSpace.toDual_symm_apply, IsConformalMap.is_complex_or_conj_linear, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_ne, AkraBazziRecurrence.isBigO_apply_r_sub_b, HasGradientAt.hasDerivAt', SmoothBumpCovering.exists_immersion_euclidean, DifferentiableAt.sigmoid, AffineMap.hasDerivWithinAt, LeftInvariantDerivation.left_invariant, MeasureTheory.pdf.IsUniform.mul_pdf_integrable, ProbabilityTheory.integrable_toReal_condExpKernel, Bundle.RiemannianMetric.isVonNBounded, MeasureTheory.hasFiniteIntegral_iff_ofNNReal, HasStrictDerivAt.of_local_left_inverse, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, IsGreatest.nnnorm_cfcₙ, Complex.convexHull_reProdIm, Complex.conjLIE_apply, one_mem_posTangentConeAt_iff_frequently, Real.hasDerivAt_sin, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal, MeasureTheory.Integrable.simpleFunc_mul', Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, egauge_ball_le_of_one_lt_norm, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasStrictFDerivAt_iff_isLittleOTVS, not_IntegrableOn_Ioi_inv, ContinuousMap.continuousMap_mem_subalgebra_closure_of_separatesPoints, Real.differentiableOn_log, ProbabilityTheory.integral_continuousLinearMap_gaussianReal, Differentiable.fderiv_norm_rpow, lintegral_fderiv_lineMap_eq_edist, Set.OrdConnected.image_deriv, signedDist_right_congr, AddCircle.isAddFundamentalDomain_of_ae_ball, Asymptotics.IsBigOTVS.add, TensorProduct.toLinearEquiv_lidIsometry, Real.differentiableOn_arcsin, AnalyticOnNhd.eval_linearMap', inner_gradientWithin_right, fderiv_fun_pow, MeasureTheory.MemLp.integrable_norm_rpow', Complex.hasStrictFDerivAt_exp_real, NumberField.natAbs_discr_eq_natAbs_discr_pow_mul_natAbs_discr_pow, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint, Module.Basis.parallelepiped_basisFun, SchwartzMap.laplacianCLM_eq, monomial_has_deriv_aux, MeasureTheory.hasFiniteIntegral_prod_iff', Real.vector_fourierIntegral_eq_integral_exp_smul, StrictConvexOn.strictMonoOn_deriv, DifferentiableAt.zpow, MeasureTheory.MemLp.norm_rpow, nndist_midpoint_right, HasStrictFDerivAt.pow, MeasureTheory.MemLp.prod, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, ProbabilityTheory.IsGaussian.integrable_exp_sq_of_conv_neg, Asymptotics.isLittleOTVS_prodMk_left, derivWithin_cosh, NNReal.enorm_eq, fderivWithin_sinh, iter_deriv_zpow', Asymptotics.IsBigOTVS.comp_tendsto, differentiableWithinAt_abs, Matrix.exp_conj', deriv.scomp_of_eq, Real.deriv_arccos, Real.hasStrictDerivAt_sinh, ProbabilityTheory.integrable_pow_abs_of_integrable_exp_mul, LocallyBoundedVariationOn.ae_differentiableWithinAt, deriv_conj_conj, ConvexOn.univ_sSup_of_countable_affine_eq, integrableOn_exp_Iic, cfcₙHom_nnreal_eq_restrict, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, instIsManifoldRealEuclideanSpaceFinOfNatNatEuclideanHalfSpaceModelWithCornersEuclideanHalfSpaceElemIcc, IsLocalFrameOn.coeff_apply_of_mem, HasFDerivAt.finset_prod, hasStrictDerivAt_abs_pos, deriv_sqrt_mul_log, hasDerivWithinAt_abs_pos, ContinuousLinearMap.norm_extendTo𝕜, IsLocalMax.fderiv_eq_zero, Bundle.Trivialization.localFrame_coeff_congr, StrictConcaveOn.slope_lt_derivWithin, Matrix.exp_neg, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, derivWithin.scomp_of_eq, polynomialFunctions.starClosure_topologicalClosure, HasFDerivAtFilter.isBigOTVS_sub, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, Real.hasStrictFDerivAt_rpow_of_pos, hasFDerivWithinAt_inv, differentiableAt_sigmoid, OrthonormalBasis.repr_self, iteratedDeriv_scomp_three, Real.integrable_prod_sub, MeasureTheory.eLpNorm_mono_real, Orientation.volumeForm_map, rotation_apply, toMatrix_rotation, Icc_isBoundaryPoint_bot, mellin_convergent_zero_of_isBigO, Differentiable.zpow, derivWithin.scomp, deriv_abs_neg, ProbabilityTheory.evariance_lt_top_iff_memLp, Real.differentiableWithinAt_arccos_Ici, gelfandStarTransform_naturality, gelfandStarTransform_apply_apply, DifferentiableWithinAt.abs_of_pos, Asymptotics.IsLittleOTVS.trans_isThetaTVS, deriv.log, SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, integrableOn_Ioi_rpow_of_lt, ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zero, NormedSpace.Dual.toWeakDual_continuous, ConcaveOn.slope_le_of_hasDerivAt, signedDist_left_congr, NormedField.exists_lt_nnnorm_lt, deriv_fun_inv'', exists_deriv_eq_zero, Real.nnnorm_exp_I_mul_ofReal_sub_one_le, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, NormedField.exists_nnnorm_lt_one, differentiableAt_comp_add_const, integrableOn_Ioi_norm_cpow_of_lt, QuadraticForm.equivalent_signType_weighted_sum_squared, OrthonormalBasis.measurePreserving_repr, InformationTheory.leftDeriv_klFun_one, Asymptotics.IsLittleOTVS.prodMk, SchwartzMap.integral_fourierInv_smul_eq, ContinuousMultilinearMap.norm_mkPiAlgebra_le, RCLike.reCLM_norm, MeasureTheory.withDensityᵥ_eq_withDensity_pos_part_sub_withDensity_neg_part, signedDist_triangle, HasDerivWithinAt.sin, Real.hasDerivAt_arcosh, ConvexOn.monotoneOn_rightDeriv, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, Asymptotics.IsLittleOTVS.insert, enorm_fderiv_norm_rpow_le, DifferentiableAt.fun_finset_prod, HasDerivAt.arctan, LocallyBoundedVariationOn.ae_differentiableAt, Unitization.sqrt_inr, MeasureTheory.Integrable.simpleFunc_mul, MonotoneOn.intervalIntegrable_deriv, MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iff, HasDerivAt.sqrt, fderiv_eq_deriv_mul, nndist_right_lineMap, Orientation.abs_volumeForm_apply_of_orthonormal, ContinuousLinearMap.toSesqForm_apply_coe, signedDist_linear_apply_apply, BoxIntegral.hasIntegral_GP_pderiv, Polynomial.differentiableOn_aeval, Bundle.Trivialization.localFrame_coeff_eq_coeff, NumberField.mixedEmbedding.negAt_apply_snd, StrictConvexOn.lt_slope_of_hasDerivAt, Real.GammaIntegral_convergent, Matrix.toEuclideanLin_apply, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, MeasureTheory.charFunDual_eq_charFun_map_one, HasFDerivWithinAt.multiset_prod, fourier_norm, MeasureTheory.memLp_two_iff_integrable_sq_norm, mfderivWithin_projIcc_one, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProd, BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt, Real.hasStrictDerivAt_arccos, RCLike.conjCLE_apply, MeasureTheory.integrable_norm_rpow_iff, Asymptotics.IsLittleOTVS.neg_right, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, Complex.reCLM_nnnorm, Unitization.nnnorm_def, Asymptotics.IsEquivalent.add_add_of_nonneg, isScalarTower_closedBall_closedBall_closedBall, nndist_left_lineMap, Euclidean.closedBall_eq_image, NumberField.mixedEmbedding.negAt_preimage, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, isScalarTower_sphere_closedBall_closedBall, ProbabilityTheory.Kernel.HasSubgaussianMGF.memLp_exp_mul, QuadraticForm.equivalent_one_neg_one_weighted_sum_squared, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, Complex.deriv_ofReal_cpow_const, PiTensorProduct.mapL_smul, MeasureTheory.L1.setToL1_smul_left, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, MeasureTheory.eLpNorm_norm, DifferentiableAt.fun_div, MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top, MeasureTheory.integrable_toReal_rnDeriv_mul_iff, Real.norm_deriv_mulExpNegMulSq_le_one, Quaternion.linearIsometryEquivTuple_symm_apply, Polynomial.isEquivalent_atTop_lead, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, MeasureTheory.SignedMeasure.singularPart_smul, Pi.counit_eq_adjoint, ProbabilityTheory.covarianceBilin_apply_basisFun_self, HasDerivAt.comp_hasFDerivWithinAt, MeasureTheory.charFun_apply_real, StrictConcaveOn.deriv_lt_slope, Orientation.areaForm_to_volumeForm, Icc_isInteriorPoint_interior, VectorFourier.fourierIntegral_continuousLinearMap_apply, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, signedDist_le_dist, Real.not_continuousAt_deriv_mul_log_zero, integrable_one_add_norm, ProbabilityTheory.integrable_condCDF, HasFDerivAtFilter.isThetaTVS_sub, integrableOn_add_rpow_Ioi_of_lt, InformationTheory.klDiv_eq_top_iff, SchwartzMap.fourier_lineDerivOp_eq, HasFDerivWithinAt.isThetaTVS_sub, LinearMap.isBigOTVS_rev_comp, AddChar.wInner_cWeight_eq_zero_iff_ne, NormedField.exists_one_lt_enorm, ContinuousLinearMapWOT.inducingFn_apply, Orientation.areaForm_neg_orientation, fderivWithin_sin, StrictConcaveOn.slope_lt_deriv, SchwartzMap.smulLeftCLM_compCLMOfContinuousLinearEquiv, EuclideanSpace.instFactEqNatFinrankFin, differentiable_euclidean, NumberField.mixedEmbedding.stdBasis_apply_isComplex_snd, Monotone.ae_differentiableAt, ConvexOn.slope_le_deriv, Differentiable.abs, Asymptotics.IsBigOTVS.neg_right, mfderivWithin_comp_projIcc_one, DifferentiableOn.rpow, HasDerivWithinAt.comp, contDiffWithinAt_euclidean, SimpleGraph.lapMatrix_toLinearMap₂'_apply'_eq_zero_iff_forall_reachable, NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, Real.fourier_iteratedFDeriv, SchwartzMap.smulLeftCLM_real_smul, AddCircle.norm_div_natCast, InnerProductSpace.toDualMap_apply_apply, Differentiable.cexp, HasMFDerivAt.smul, Orientation.kahler_eq_zero_iff, HasStrictDerivAt.div, BoundedContinuousFunction.integral_const_sub, DifferentiableAt.rpow_const, signedDist_apply_apply, Real.differentiableAt_rpow_const_of_ne, derivWithin_zpow, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_off_countable_of_le, UnitAddTorus.mFourierCoeff_toLp, ProbabilityTheory.gaussianReal_map_continuousLinearMap, WeakDual.toStrongDual_inj, IccLeftChart_extend_interior_pos, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, Asymptotics.IsEquivalent.mul, Orientation.areaForm_swap, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, hasDerivAt_id', HasDerivWithinAt.cos, Differentiable.sinh, integrableOn_Ioi_cpow_iff, Bundle.ContinuousRiemannianMetric.symm, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, CompactlySupportedContinuousMap.toRealLinearMap_apply_apply, fderiv.log, HasStrictDerivAt.arctan, MeasureTheory.MemLp.inner_const, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, InformationTheory.tendsto_rightDeriv_klFun_atTop, deriv_norm_ofReal_cpow, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, Complex.sameRay_of_arg_eq, MeasureTheory.Integrable.integral_norm_condDistrib_map, NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm, hasDerivAt_abs_neg, Orientation.kahler_swap, coe_innerSL_apply, fderivWithin_finset_prod, ProbabilityTheory.integrable_exp_mul_of_nonneg_of_le, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, ProbabilityTheory.integrable_exp_mul_abs, HasStrictDerivAt.real_of_complex, Matrix.PosSemidef.det_sqrt, Orientation.rotation_map_complex, Real.deriv_rpow_const, ProbabilityTheory.integrable_exp_mul_of_abs_le, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, HasDerivAt.differentiableAt, StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio, DifferentiableWithinAt.dist, MeasureTheory.integrable_thickenedIndicator, NormedField.exists_nnnorm_lt, hasDerivWithinAt_abs, ProbabilityTheory.integrable_pow_mul_exp_of_integrable_exp_mul, MeasureTheory.MemLp.pos_part, MeasureTheory.integrable_of_tendsto, TensorProduct.lidIsometry_apply, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, ContinuousLinearMap.hasDerivAt, DifferentiableAt.star_conj, BoundedVariationOn.intervalIntegrable_deriv, AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding, MeasureTheory.eLpNorm_ofReal, Real.deriv_sinh, exists_ratio_deriv_eq_ratio_slope, MeasureTheory.Integrable.tendsto_eLpNorm_condExp, NormedField.exists_lt_enorm, Module.Basis.coe_toOrthonormalBasis_repr, Filter.HasBasis.isLittleOTVS_iff, MeasureTheory.convolution_precompR_apply, WeakDual.coe_toStrongDual, SchwartzMap.compSubConstCLM_apply, Matrix.linfty_opNNNorm_eq_opNNNorm, VectorFourier.fourierIntegral_iteratedFDeriv, ModularGroup.lcRow0Extend_symm_apply, InformationTheory.hasDerivAt_klFun, integrableOn_Ioi_norm_cpow_iff, contMDiff_coe_sphere, contDiffOn_one_iff_derivWithin, StrictConvexOn.slope_lt_deriv, BoundedContinuousFunction.mem_charPoly, Orientation.kahler_comp_rightAngleRotation, Seminorm.ball_smul, BoundedContinuousFunction.charAlgHom_apply, HasDerivAt.fun_pow, ae_differentiableAt_norm, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, HasGradientWithinAt.differentiableWithinAt, MeasureTheory.memLp_haarAddCircle_iff, NumberField.Units.instZLattice_unitLattice, HasFDerivAt.isBigOTVS_sub, hasDerivWithinAt_neg, Orientation.volumeForm_zero_pos, ProbabilityTheory.uncenteredCovarianceBilinDual_of_not_memLp, Bundle.ContinuousRiemannianMetric.continuous, ProbabilityTheory.complexMGF_mul_I, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, Matrix.gram_eq_conjTranspose_mul, IsLocalFrameOn.coeff_congr, DifferentiableAt.fderiv_norm_self, ProbabilityTheory.Kernel.integrable_densityProcess, NumberField.Units.span_basisOfIsMaxRank, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, instIsManifoldRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, FiniteDimensional.rclike_to_real, Complex.equivRealProdCLM_symm_apply, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, HasGradientAtFilter.hasDerivAtFilter', CompactlySupportedContinuousMap.coe_toRealLinearMap, differentiableOn_dslope_of_notMem, IsLocalExtr.fderiv_eq_zero, NumberField.Units.basisOfIsMaxRank_apply, Real.differentiableOn_rpow_const, MeasureTheory.MemLp.integrable_norm_pow, NormedField.denseRange_nnnorm, Asymptotics.IsLittleOTVS.zero, NormedSpace.inclusionInDoubleDual_norm_eq, SchwartzMap.smulLeftCLM_sum, PeriodPair.basis_zero, Asymptotics.IsLittleOTVS.congr_left, MeasureTheory.Integrable.norm_integral_condDistrib, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Real.hasDerivWithinAt_arccos_Ici, RightDerivMeasurableAux.differentiable_set_subset_D, ContinuousLinearMap.nnnorm_toSpanSingleton, InformationTheory.leftDeriv_klFun, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Asymptotics.isLittleOTVS_fun_neg_left, deriv_id'', AddCircle.exists_norm_nsmul_le, isEquivalent_choose, Asymptotics.isBigOTVS_iff_smallSets, OrthonormalBasis.coe_ofRepr, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_mem_interior_integrableExpSet, hasStrictFDerivAt_exp, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, MeasureTheory.Integrable.integral_norm_comp, EuclideanSpace.nnnorm_single, MeasureTheory.MemLp.memLp_liftIoc, ProbabilityTheory.differentiableAt_mgf, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, RCLike.conjLIE_apply, deriv_fun_div, Complex.orthonormalBasisOneI_repr_apply, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_eq, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countable, Complex.differentiable_exp, Polynomial.toAddCircle.integrable, HasDerivAtFilter.iterate, RCLike.imLm_coe, Real.differentiable_cos, MeasureTheory.MemLp.neg_part, Affine.Simplex.ExcenterExists.sign_signedInfDist_touchpoint, isAddFundamentalDomain_Ioc, Asymptotics.IsBigOTVS.fun_add, norm_cauchyPowerSeries_le, sum_mul_eq_sub_integral_mul', HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, intervalIntegral.integrableOn_Ioo_rpow_iff, Asymptotics.isEquivalent_nat_ceil, summable_jacobiTheta₂_term_fderiv_iff, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, AddCircle.norm_coe_mul, Asymptotics.isBigOTVS_fun_neg_left, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, instLieGroupRealEuclideanSpaceFinOfNatNatModelWithCornersSelfTopWithTopENatCircle, Matrix.linfty_opNNNorm_toMatrix, Asymptotics.isBigOTVS_fun_neg_right, hasDerivAt_abs_rpow, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, signedDist_eq_zero_of_orthogonal, hasSum_fourier_series_L2, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, ProbabilityTheory.memLp_of_mem_interior_integrableExpSet, ZSpan.volume_fundamentalDomain, StrictMonoOn.exists_slope_lt_deriv_aux, FormalMultilinearSeries.coeff_eq_zero, ProbabilityTheory.covarianceBilin_zero, RCLike.conjCLE_coe, contDiffOn_stereoToFun, VectorFourier.differentiable_fourierIntegral, HasDerivAt.log, LeftInvariantDerivation.evalAt_coe, AddCircle.norm_half_period_eq, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, Differentiable.sin, Real.deriv_Gamma_nat, GaussianFourier.integrable_cexp_neg_mul_sum_add, MeasureTheory.integrable_add_iff_of_nonneg, MeasureTheory.Measure.HasTemperateGrowth.exists_integrable, fderiv_pow, ProbabilityTheory.memLp_two_of_variance_ne_zero, Polynomial.differentiable_aeval, MeasureTheory.eLpNorm_one_le_of_le', Distribution.delta_eq_zero_of_notMem, IsGreatest.nnnorm_cfc, Real.fourierIntegral_convergent_iff', hasDerivAt_deriv_iff, hasDerivAtFilter_neg, Asymptotics.IsEquivalent.finsetProd, integrable_rpow_neg_one_add_norm_sq, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, HasStrictDerivAt.clog_real, Bundle.ContMDiffRiemannianMetric.symm, HilbertBasis.hasSum_repr, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, HasDerivWithinAt.sqrt, Asymptotics.isBigOTVS_iff_isBigO, Real.hasDerivAt_qaryEntropy, innerSL_inj, continuousAt_dslope_same, hasDerivWithinAt_pow, differentiableAt_star_conj_iff, MeasureTheory.lintegral_nnnorm_condExpL2_le, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, AffineSubspace.signedInfDist_eq_signedDist_of_mem, Finset.nnnorm_prod_le', differentiableWithinAt_of_derivWithin_ne_zero, one_mem_posTangentConeAt_iff_mem_closure, Real.integrable_sinc, RealRMK.rieszMeasure_le_of_eq_one, TensorProduct.inner_lid_lid, DifferentiableAt.log, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, not_IntegrableOn_Ici_inv, AnalyticOnNhd.eval_linearMap, Set.OrdConnected.image_derivWithin, LinearIsometry.re_apply_eq_re_of_add_conj_eq, RCLike.rank_le_two, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, MeasureTheory.memLp_two_iff_integrable_sq, ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi, WeakDual.isCompact_closedBall, Affine.Simplex.signedInfDist_apply_self, ConvexOn.sSup_of_countable_affine_eq, VectorFourier.iteratedFDeriv_fourierIntegral, Real.differentiableAt_rpow_of_ne, ProbabilityTheory.integrable_pow_abs_mul_exp_of_mem_interior_integrableExpSet, RCLike.reCLM_coe, ProbabilityTheory.gaussianReal_map_linearMap, InnerProductSpace.toDual_apply, Real.differentiableAt_log, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', Asymptotics.IsLittleOTVS.fst, HasStrictDerivAt.to_local_left_inverse, HasDerivWithinAt.inner, ContinuousLinearMap.derivWithin, AbsolutelyContinuousOnInterval.integral_deriv_mul_eq_sub, DifferentiableAt.inner, HarmonicAt.differentiableAt_complex_partial, NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_single, integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable, NormedSpace.exp_continuousMap_eq, Seminorm.comp_smul, HasFDerivWithinAt.mul_const, isScalarTower_sphere_sphere_sphere, MeasureTheory.hasFDerivAt_convolution_right_with_param, ProbabilityTheory.integrable_rpow_abs_mul_exp_of_integrable_exp_mul, ProbabilityTheory.IsGaussian.charFun_eq', deriv_neg_left_of_sign_deriv, Real.deriv_inv_log, ProbabilityTheory.covarianceBilinDual_eq_covariance, fderiv_mul, signedDist_zero, mellin_convergent_of_isBigO_scalar, Asymptotics.IsLittleO.isLittleOTVS, SchwartzMap.postcompCLM_apply, ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_mul, Asymptotics.IsLittleOTVS.neg_left, AffineSubspace.signedInfDist_eq_signedDist_orthogonalProjection, iteratedFDerivWithin_eq_equiv_comp, CompactlySupportedContinuousMap.toRealLinearMap_apply, EuclideanSpace.coe_proj, DifferentiableAt.isBigOTVS_sub, IsLocalExtr.deriv_eq_zero, IsLocalMax.deriv_eq_zero, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, MeasureTheory.Integrable.integral_norm_prod_left, HasCompactSupport.hasFDerivAt_convolution_right, frontier_range_modelWithCornersEuclideanHalfSpace, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn, differentiableAt_inv_iff, AddCircle.instIsUnifLocDoublingMeasureRealVolume, ProbabilityTheory.covarianceBilinDual_zero, HasStrictDerivAt.exp, RealRMK.integral_rieszMeasure, LinearMap.deriv, RCLike.nnnorm_nnratCast, contDiff_iff_iteratedDeriv, Asymptotics.IsLittleOTVS.pi, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, EuclideanSpace.instIsManifoldSphere, Orientation.abs_volumeForm_apply_of_pairwise_orthogonal, Real.isEquivalent_sin, InnerProductSpace.toDualMap_apply, DifferentiableWithinAt.abs, HasDerivAt.cosh, DifferentiableAt.conj_conj, Real.differentiable_exp, fderivWithin_cos, ProbabilityTheory.differentiableOn_mgf, Real.abs_mulExpNegMulSq_comp_le_norm, Polynomial.derivWithin, nnnorm_algebraMap, fdifferential_apply, Real.hasStrictDerivAt_arcosh, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, MeasureTheory.Integrable.integral_norm_condExpKernel, Real.differentiableAt_cos, FormalMultilinearSeries.apply_eq_pow_smul_coeff, hasDerivAtFilter_id, innerₗ_apply, MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivAt_of_le, Asymptotics.isBigOTVS_congr, ProbabilityTheory.complexMGF_id_mul_I, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le, ModularGroup.lcRow0Extend_apply, Matrix.isSymmetric_toEuclideanLin_iff, Asymptotics.isBigOTVS_neg_right, Real.deriv_log', VectorField.lieBracketWithin_smul_left, hasDerivAt_update, nnnorm_apply_le_nnnorm_cfcₙ, Real.one_div_sub_hasFPowerSeriesOnBall_zero, ProbabilityTheory.integrable_condVar, ProbabilityTheory.integral_id_multivariateGaussian, OrthonormalBasis.equiv_apply, ProbabilityTheory.integrable_exp_abs_mul_abs_add, Seminorm.bound_of_continuous, MeasureTheory.integrable_of_le_of_le, DifferentiableOn.log, fderiv_pow_ring, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable_of_equiv, StrictMonoOn.exists_deriv_lt_slope_aux, DifferentiableAt.comp_ringHom, Bundle.ContMDiffRiemannianMetric.pos, HasDerivWithinAt.complexToReal_fderiv, signedDist_triangle_left, IsContMDiffRiemannianBundle.exists_contMDiff, HasDerivWithinAt.arsinh, Complex.ofRealCLM_nnnorm, Complex.imCLM_norm, Real.deriv2_binEntropy, Module.Basis.coe_toOrthonormalBasis_repr_symm, LinearMap.toSeminorm_comp, HasDerivAt.exp, DifferentiableAt.sqrt, DifferentiableOn.div_const, InnerProductSpace.toDual_apply_apply, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, contMDiff_subtype_coe_Icc, Real.hasDerivAt_arcsin, CompactlySupportedContinuousMap.toRealPositiveLinear_apply, ProperCone.innerDual_singleton, RCLike.nnnorm_ofNat, NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eq, differentiable_inner, Real.hasDerivAt_tan, hasFDerivAt_list_prod', hasFDerivAt_integral_of_dominated_loc_of_lip', InnerProductSpace.rankOne_def, Real.deriv_tan_sub_id, AddCircle.volume_closedBall, Real.leftDeriv_mul_log, stereoToFun_apply, deriv_inv, PointwiseConvergenceCLM.equivWeakDual_apply, Real.differentiableAt_Gamma, hasSum_jacobiTheta₂_term_fderiv, HasDerivAt.cos, Polynomial.fderiv_aeval, orthogonalBilin_innerₗ, ContinuousLinearMap.norm_smulRight_apply, Real.hasStrictDerivAt_cosh, ConvexOn.real_univ_sSup_of_countable_affine_eq, Asymptotics.IsLittleOTVS.exists_eventuallyLE_mul_ennreal, NumberField.mixedEmbedding.mem_span_latticeBasis, ProbabilityTheory.evariance_eq_top_iff, MeasureTheory.MemLp.integrable_sq, iteratedDerivWithin_comp_three, Module.Basis.equivFunL_symm_apply_repr, OrthonormalBasis.repr_apply_apply, BoundedContinuousFunction.exists_norm_eq_restrict_eq_of_closed, ProbabilityTheory.covarianceBilin_comm, iter_deriv_zpow, HasStrictDerivAt.cosh, MeasureTheory.MemLp.prod', ProbabilityTheory.Kernel.memL1_limitProcess_densityProcess, VectorField.lieBracket_fmul_left, MeasureTheory.lintegral_ofReal_ne_top_iff_integrable, Asymptotics.IsBigOTVS.snd, BoundedContinuousFunction.neg_norm_le_apply, gradient_eq_deriv', QuadraticForm.equivalent_one_zero_neg_one_weighted_sum_squared, ClosedSubmodule.orthogonal_eq_inter, Chebyshev.integrableOn_theta_div_id_mul_log_sq, DifferentiableWithinAt.arctan, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, hasFDerivWithinAt_iff_hasDerivWithinAt, MonotoneOn.intervalIntegrable_slope, nndist_left_midpoint, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplex, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', SchwartzMap.compCLMOfAntilipschitz_apply, MeasureTheory.Integrable.fintype_prod_dep, intervalIntegral.integrableOn_Ioo_cpow_iff, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, Real.differentiableOn_Gamma_Ioi, Real.differentiableOn_mul_log, Complex.conjCLE_toLinearEquiv, MeasureTheory.setToFun_smul_left, InformationTheory.klDiv_def, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.Integrable.norm_integral_condKernel, RCLike.abs_wInner_le, contDiff_nat_iff_iteratedDeriv, ConvexOn.slope_le_leftDeriv, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, ProbabilityTheory.memLp_id_gaussianReal', Asymptotics.IsBigOTVS.fun_symm, fderiv_norm_smul_neg, HasDerivAt.complexToReal_fderiv, ContinuousLinearMapWOT.isInducing_inducingFn, integrableOn_Ioi_deriv_ofReal_cpow, Real.deriv_mulExpNegMulSq, StrongDual.polarSubmodule_eq_polar, ProbabilityTheory.iIndepFun.integrable_exp_mul_sum, HasStrictDerivAt.cexp, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top, Asymptotics.isLittleOTVS_fun_neg_right, Complex.isEquivalent_sinh, hasFDerivAt_exp_smul_const', Asymptotics.IsLittleOTVS.triangle, dense_differentiableAt_norm, MeasureTheory.SignedMeasure.re_toComplexMeasure, Matrix.exp_zsmul, SchwartzMap.postcompCLM_postcompCLM, 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, Affine.Simplex.ExcenterExists.sign_signedInfDist_lineMap_excenter_touchpoint, Real.deriv_qaryEntropy, InformationTheory.integrable_llr_compProd_iff, Real.deriv_arctan, LinearMap.coe_complexOfReal, monotoneOn_deriv_descPochhammer_eval, SchwartzMap.smulLeftCLM_const, ProbabilityTheory.HasSubgaussianMGF.memLp_exp_mul, mellin_convergent_top_of_isBigO, HasDerivWithinAt.rpow, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos, Differentiable.arctan, Asymptotics.IsBigOTVS.congr_left, LinearMap.toMatrix_innerₛₗ_apply, Asymptotics.IsLittleOTVS.smul_left, PointwiseConvergenceCLM.equivWeakDual_symm_apply, BoundedContinuousFunction.abs_self_eq_nnrealPart_add_nnrealPart_neg, ConvexOn.le_slope_of_hasDerivWithinAt_Ioi, MeasureTheory.ComplexMeasure.integrable_rnDeriv, RCLike.wInner_one_eq_inner, NumberField.mixedEmbedding.negAt_apply_isComplex, ProbabilityTheory.hasFiniteIntegral_compProd_iff', Asymptotics.IsBigOTVS.proj, AffineMap.hasDerivAt, Complex.differentiableAt_exp, MeasureTheory.integrableOn_Ioi_deriv_of_nonpos', HasStrictDerivAt.fun_finset_prod, Matrix.inner_toEuclideanCLM, ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints, not_integrableOn_Ioi_rpow, AffineMap.differentiableAt, isScalarTower_closedBall_ball_ball, Matrix.PosSemidef.toLinearMap₂'_zero_iff, Polynomial.rootSet_derivative_subset_convexHull_rootSet, WeakDual.isSeqCompact_closedBall, HasFDerivAt.cexp, extDerivFun_zero, Asymptotics.IsLittleOTVS.trans_isBigOTVS, WeakDual.isBounded_iff_isVonNBounded, MeasureTheory.Measure.integrable_measure_prodMk_left, has_antideriv_at_fourier_neg, Real.differentiableAt_log_iff, hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, UnitAddTorus.mFourier_norm, Matrix.instNonnegSpectrumClass, LinearIsometry.toSpanSingleton_apply, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, DifferentiableAt.norm_sq, DifferentiableWithinAt.sin, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, contDiffAt_euclidean, innerSLFlip_apply_apply, Polynomial.hasFDerivAt, StrictConcaveOn.slope_lt_of_hasDerivAt, signedDist_smul_of_pos, MeasureTheory.BorelCantelli.integrable_process, Distribution.mapCLM_apply, Asymptotics.IsEquivalent.log, finrank_euclideanSpace, Real.hasStrictDerivAt_const_rpow_of_neg, hasDerivAt_inv, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn, ConvexOn.sSup_of_nat_affine_eq, NormedField.exists_enorm_lt, MeasureTheory.Submartingale.eLpNorm_stoppedAbove_le', MeasureTheory.MemLp.integrable_norm_rpow, HasDerivAt.sinh, Complex.one_div_sub_sq_hasFPowerSeriesOnBall_zero, InformationTheory.integrable_llr_of_integrable_llr_compProd, nndist_midpoint_left, intervalIntegral.integral_hasStrictFDerivAt, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_apply, signedDist_lineMap_lineMap, Complex.ofRealCLM_apply, MeasureTheory.IntegrableAtFilter.norm, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, mfderiv_coe_sphere_injective, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, NumberField.Units.regOfFamily_of_isMaxRank, Module.Basis.equivFunL_apply, inner_map_complex, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, tendsto_integral_mul_one_add_inv_smul_sq_pow, derivWithin_cos, Asymptotics.IsBigOTVS.trans_isLittleOTVS, contDiffOn_euclidean, HasGradientAt.hasFDerivAt, LinearMap.hasDerivWithinAt, AffineSubspace.abs_signedInfDist_eq_dist_of_mem_affineSpan_insert, Real.fourier_fderiv, ContDiffOn.differentiableOn_iteratedDerivWithin, ContinuousMap.adjoin_id_eq_span_one_union, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, signedDist_vadd_left_swap, IsSelfAdjoint.spectrumRestricts, Seminorm.const_isBounded, IsCovariantDerivativeOn.leibniz, MeasureTheory.integrable_prod_iff, SchwartzMap.compSubConstCLM_zero, Polynomial.eq_centerMass_of_eval_derivative_eq_zero, ConvexOn.monotoneOn_deriv, HasFDerivWithinAt.norm_sq, ProbabilityTheory.integrable_exp_mul_of_nonpos_of_ge, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, differentiableAt_abs_neg, LinearMap.tracePositiveLinearMap_apply, Asymptotics.isLittleOTVS_iff_smallSets, BoundedContinuousFunction.apply_le_norm, hasDerivAt_fourier_neg, DifferentiableWithinAt.div_const, ProbabilityTheory.isGaussian_gaussianReal, derivWithin_const_rpow, norm_fderiv_norm_rpow_le, StrongDual.dualPairing_separatingLeft, deriv_abs_zero, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, Asymptotics.isLittleOTVS_iff_tendsto_div, hasStrictDerivAt_abs, nndist_midpoint_midpoint_le', Polynomial.Chebyshev.integrable_measureT, SchwartzMap.fourierInv_lineDerivOp_eq, RCLike.finrank_le_two, NormedSpace.inclusionInDoubleDualWeak_apply, Bundle.RiemannianMetric.symm, MeasureTheory.integral_charFun_Icc, iteratedFDeriv_eq_equiv_comp, linear_isometry_complex, sum_mul_eq_sub_integral_mul₀', deriv_rpow_const, instFiniteDimensionalRealComplex, Real.hasDerivAt_cos, Differentiable.sigmoid, Matrix.ofLp_toEuclideanCLM, HasDerivWithinAt.comp_hasDerivAt_of_eq, AffineSubspace.signedInfDist_eq_const_of_mem, ProbabilityTheory.HasSubgaussianMGF.integrable, deriv_comp, derivWithin_cexp, StrictConvexOn.strictMonoOn_derivWithin, fderiv_cos, ContinuousMap.sup_mem_subalgebra_closure, AddCircle.exists_norm_eq_of_isOfFinAddOrder, Asymptotics.isBigOTVS_neg_left, exists_dual_vector, nndist_center_homothety, NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm, DifferentiableOn.norm_sq, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_mem_fundamentalCone_iff, fourierCoeff_toLp, Differentiable.norm_rpow, DifferentiableWithinAt.isBigOTVS_sub, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, ProbabilityTheory.variance_continuousLinearMap_gaussianReal, Asymptotics.IsLittleOTVS.congr', Real.differentiableWithinAt_arcsin_Ici, AddChar.wInner_cWeight_eq_one_iff_eq, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, DifferentiableWithinAt.fun_div, InformationTheory.klDiv_ne_top_iff, fderivWithin_fun_pow, RCLike.sqrt_map, derivWithin_exp, MeasureTheory.integrable_conv_iff, ConvexOn.integrable_apply_rnDeriv_of_integrable_compProd, ProbabilityTheory.Kernel.IsFiniteKernel.integrable, PadicInt.mahlerTerm_one, Polynomial.isEquivalent_atTop_div, Real.hasDerivWithinAt_arcsin_Ici, signedDist_vadd_right, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, deriv.scomp, rotationOf_rotation, IsMIntegralCurveAt.hasMFDerivAt, HasFDerivAt.multiset_prod, extDerivFun_add, deriv_neg_right_of_sign_deriv, SpectrumRestricts.real_iff, IsLocalFrameOn.eventually_eq_sum_coeff_smul, HasFDerivAt.mul_const, differentiableWithinAt_euclidean, SmoothBumpCovering.embeddingPiTangent_injective_mfderiv, deriv_abs_pos, Matrix.isPositive_toEuclideanLin_iff, derivWithin_rpow_const, nnnorm_cfc_le_iff, DifferentiableOn.sinh, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, MeasureTheory.convolution_mono_right_of_nonneg, exists_polynomial_near_continuousMap, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, MeasureTheory.Measure.integrable_compProd_iff, HasGradientAt.differentiableAt, ContinuousMap.inf_mem_subalgebra_closure, NormedSpace.exp_sum, Real.differentiableAt_cosh, HasDerivAt.comp_hasFDerivWithinAt_of_eq, ProbabilityTheory.covarianceBilin_self_nonneg, DifferentiableOn.abs, HasDerivAt.norm_sq, ProbabilityTheory.integral_linearMap_gaussianReal, AddCircle.coe_real_preimage_closedBall_inter_eq, complexOfReal_deriv, Real.nnnorm_mul_toNNReal, Asymptotics.IsLittleOTVS.sup, Polynomial.hermite_eq_deriv_gaussian', MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable', fderiv_exp, Differentiable.log, MeasureTheory.integrable_of_integral_eq_one, MeasureTheory.integrable_norm_iff, MeasureTheory.integrable_toReal_of_lintegral_ne_top, RCLike.wInner_const_left, fderiv_arctan, ProbabilityTheory.covarianceBilinDual_self_eq_variance, RCLike.wInner_cWeight_const_left, MonotoneOn.derivWithin_nonneg, MeasureTheory.integrable_smul_const, Orientation.areaForm_comp_linearIsometryEquiv, NormedField.exists_one_lt_nnnorm, hasStrictFDerivAt_norm_sq, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self', LinearMap.adjoint_toSpanSingleton, ContDiff.differentiable_iteratedDeriv, Asymptotics.IsBigOTVS.prodMk, ContinuousMultilinearMap.norm_mkPiAlgebra, WeakDual.withSeminorms, Real.deriv_exp, NumberField.canonicalEmbedding.nnnorm_eq, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, QuasispectrumRestricts.real_iff, derivWithin_pow_field, deriv_sinh, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, RCLike.inner_apply, StrictConcaveOn.derivWithin_lt_slope, HasStrictDerivAt.log, NormedField.exists_enorm_lt_one, Polynomial.differentiableAt_aeval, DifferentiableAt.cosh, UpperHalfPlane.volume_eq_lintegral, HasDerivAt.fun_div, hasDerivAt_id, StrictConvexOn.slope_lt_derivWithin, Real.hasDerivAt_rpow_const, Real.toNNReal_mul_nnnorm, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, MeasureTheory.Integrable.re_im_iff, deriv_cexp, ConvexOn.slope_le_of_hasDerivWithinAt, Polynomial.isEquivalent_atBot_lead, differentiableAt_norm_smul, fderivWithin.log, deriv_update, MeasureTheory.HasFiniteIntegral.norm, Real.iter_deriv_exp, DifferentiableWithinAt.finset_prod, Real.differentiable_iteratedDeriv_cos, nndist_lineMap_right, Polynomial.hasFDerivAt_aeval, Differentiable.norm_sq, exists_dual_vector'', deriv_zpow', RCLike.norm_wInner_le, ProbabilityTheory.IsGaussian.memLp_dual, LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul_real, Module.Dual.extendRCLikeₗ_apply, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, Asymptotics.isLittleOTVS_map, isTheta_deriv_rpow_const_atTop, ProbabilityTheory.covarianceBilinDual_self_nonneg, IccLeftChart_extend_bot, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio, hasFDerivAt_pow, HasDerivWithinAt.arctan, Matrix.l2_opNNNorm_def, Polynomial.deriv_gaussian_eq_hermite_mul_gaussian, Complex.conjCLE_coe_toLinearMap, hasDerivAt_exp, contDiffOn_succ_iff_deriv_of_isOpen, DifferentiableOn.cos, signedDist_lineMap_left, ProbabilityTheory.covarianceBilin_real_self, MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le, Real.tendsto_rightDeriv_mul_log_atTop, Real.hasStrictDerivAt_arsinh, iter_deriv_pow', Asymptotics.IsBigOTVS.symm, MeasureTheory.Integrable.integral_norm_compProd, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, Asymptotics.isLittleOTVS_iff_isLittleO, integrable_rpow_mul_exp_neg_mul_sq, EuclideanSpace.basisFun_repr, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, RCLike.realLinearIsometryEquiv_symm_apply, hasStrictFDerivAt_inv, Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, InformationTheory.klDiv_eq_integral_klFun, LinearIsometry.coe_toSpanSingleton, ConcaveOn.le_slope_of_hasDerivWithinAt, MeasureTheory.hasFiniteIntegral_iff_ofReal, integrable_mul_exp_neg_mul_sq, VectorFourier.fourierSMulRight_apply, deriv_neg'', UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, MeasureTheory.euclideanHausdorffMeasure_homothety_image, ProbabilityTheory.integrable_exp_mul_of_le_of_le, IsLocalFrameOn.coeff_apply_of_notMem, ProbabilityTheory.evariance_def', Seminorm.closedBall_smul, SmoothBumpCovering.embeddingPiTangent_ker_mfderiv, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, fderiv_inv, Complex.orthonormalBasisOneI_repr_symm_apply, MeasureTheory.euclideanHausdorffMeasure_homothety_preimage, Manifold.riemannianEDist_def, hasDerivAt_circleMap, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, tendsto_sum_mul_atTop_nhds_one_sub_integral₀, isScalarTower_sphere_sphere_closedBall, signedDist_anticomm, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, UnitAddTorus.hasSum_mFourier_series_L2, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply, Orientation.areaForm_comp_rightAngleRotation, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, modelWithCornersEuclideanHalfSpace_zero, UnitAddCircle.mem_approxAddOrderOf_iff, ContinuousLinearMap.norm_extendTo𝕜'_bound, MeasureTheory.hausdorffMeasure_homothety_image, HasFDerivWithinAt.hasDerivWithinAt, Real.differentiableAt_arctan, ContinuousMultilinearMap.integral_apply, spectralNorm_smul, Asymptotics.isEquivalent_of_tendsto_one, MeasureTheory.lintegral_nnnorm_condExpL2_indicator_le_real, HasGradientWithinAt.fderivWithin_apply, differentiableWithinAt_abs_neg, sum_mul_eq_sub_integral_mul₁, RCLike.complexLinearIsometryEquiv_symm_apply, Real.differentiableOn_negMulLog, norm_derivWithin_eq_norm_fderivWithin, Asymptotics.IsEquivalent.pow, differentiableWithinAt_dslope_of_ne, ProbabilityTheory.integrable_exp_mul_gaussianReal, WeakDual.isClosed_closedBall, MeasureTheory.integrable_add_iff_of_nonpos, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, AffineMap.derivWithin, HasDerivAt.arsinh, hasDerivAt_fourier, Asymptotics.IsBigOTVS.congr_right, complexOfReal_fderivWithin, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, StrongDual.extendRCLikeₗᵢ_symm_apply, Asymptotics.IsThetaTVS.isBigOTVS, Real.rightDeriv_mul_log, ProbabilityTheory.Kernel.integrable_density, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, ProbabilityTheory.hasFiniteIntegral_prodMk_left, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, fdifferential_comp, AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, nnnorm_inner_le_nnnorm, NonUnitalIsometricContinuousFunctionalCalculus.isGreatest_nnnorm_quasispectrum, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, ProbabilityTheory.isGaussian_iff_gaussian_charFunDual, ProbabilityTheory.hasFiniteIntegral_comp_iff', IsometricContinuousFunctionalCalculus.nnnorm_spectrum_le, RCLike.wInner_const_right, InnerProductSpace.rankOne_def', hasStrictDerivAt_abs_neg, Orientation.inner_rightAngleRotation_left, fderiv_apply_one_eq_deriv, ProbabilityTheory.norm_uncenteredCovarianceBilinDual_le, DifferentiableWithinAt.abs_of_neg, Asymptotics.IsLittleOTVS.comp_tendsto, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, IsUltrametricDist.algNormOfAlgEquiv_apply, integrableOn_exp_mul_complex_Iic, DifferentiableWithinAt.cosh, AddCircle.norm_coe_eq_abs_iff, ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mul, HasFDerivAt.inner, MeasureTheory.L2.eLpNorm_inner_lt_top, HasDerivAt.rpow, Asymptotics.IsLittleOTVS.congr, ProbabilityTheory.integrable_pow_of_mem_interior_integrableExpSet, fderivWithin_exp, deriv_inv'', deriv_circleMap, ProbabilityTheory.covarianceBilin_apply_pi, cfcₙAux_injective, ProbabilityTheory.exp_neg_integrableOn_Ioc, ProbabilityTheory.deriv_mgf, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral', MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le, MeasureTheory.hasFiniteIntegral_norm_iff, MeasureTheory.Integrable.norm_integral_condDistrib_map, OrthonormalBasis.sum_repr_symm, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, IsPrimitiveRoot.nnnorm_eq_one, Real.differentiableWithinAt_arcsin_Iic, signedDist_triangle_right, Polynomial.hermite_eq_deriv_gaussian, ProbabilityTheory.hasFiniteIntegral_comp_iff, Complex.conjCLE_nnorm, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, HasStrictDerivAt.complexToReal_fderiv', StrictConcaveOn.strictAntiOn_deriv, contMDiffWithinAt_comp_projIcc_iff, Orientation.inner_mul_areaForm_sub', hasFDerivAt_polarCoord_symm, egauge_ball_one_le_of_one_lt_norm, ConcaveOn.slope_le_derivWithin, DifferentiableAt.of_dslope, differentiableOn_neg, fderivWithin_multiset_prod, HasFDerivAt.mul, Asymptotics.isBigOTVS_pi, LinearMap.continuous_of_nonzero_on_open, MeasureTheory.HasFiniteIntegral.of_mem_Icc, ConvexOn.real_univ_sSup_affine_eq, ProbabilityTheory.hasDerivAt_neg_exp_mul_exp, Real.deriv_arcsin, abs_signedDist_eq_dist_iff_vsub_mem_span, InnerProductSpace.innerSL_norm, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_densityProcess_limitProcess, AddCircle.closedBall_eq_univ_of_half_period_le, toWeakSpace_closedConvexHull_eq, ConvexOn.monotoneOn_leftDeriv, linear_isometry_complex_aux, IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt, deriv_neg', Orientation.kahler_rotation_left', Real.differentiable_sin, hasFDerivAtFilter_iff_isLittleOTVS, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Polynomial.hasDerivWithinAt_aeval, AkraBazziRecurrence.isEquivalent_one_sub_smoothingFn_one, derivWithin_sin, ProbabilityTheory.integrable_exp_mul_abs_add, rotation_trans, integrableOn_Ioi_rpow_iff, Real.eulerMascheroniConstant_eq_neg_deriv, deriv_const_rpow, Real.not_differentiableAt_inv_log_zero, Orientation.abs_areaForm_le, Real.deriv_mul_log, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, ContinuousLinearMap.norm_extendTo𝕜', integrableOn_rpow_mul_exp_neg_rpow, HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, Convex.image_derivWithin, Asymptotics.IsLittleOTVS.fun_symm, differentiableAt_iff_comp_const_sub, MeasureTheory.Integrable.integral_norm_condDistrib, NumberField.mixedEmbedding.euclidean.instIsZLatticeRealMixedSpaceIntegerLattice, SchwartzMap.compSubConstCLM_comp, signedDist_neg, ProbabilityTheory.covarianceBilin_apply_basisFun, ProbabilityTheory.IsRatCondKernelCDFAux.integrable, Complex.restrictScalars_toSpanSingleton, integrableOn_exp_mul_Ioi, Orientation.normSq_kahler, ProbabilityTheory.IsCondKernelCDF.integrable, Complex.UnitDisc.mk_neg, hasGradientAt_iff_hasFDerivAt, Asymptotics.IsTheta.isThetaTVS, Asymptotics.isEquivalent_nat_floor, ProbabilityTheory.integrable_of_mem_integrableExpSet, NumberField.mixedEmbedding.fundamentalCone.hasDerivAt_expMap_single, ProbabilityTheory.HasCondSubgaussianMGF.memLp_exp_mul, hasFDerivAt_exp_smul_const_of_mem_ball, Real.differentiableAt_tan, Real.differentiable_cosh, NumberField.mixedEmbedding.negAt_symm, MeasureTheory.iteratedDeriv_charFun, DifferentiableAt.rpow, VectorFourier.contDiff_fourierIntegral, ProbabilityTheory.integrable_exp_abs_mul_abs, ConcaveOn.leftDeriv_le_slope, HilbertBasis.repr_symm_single, HilbertBasis.repr_apply_apply, ProbabilityTheory.integrable_compProd_iff, Matrix.exp_conj, NumberField.finite_of_discr_bdd, Complex.inner, ProbabilityTheory.variance_dual_stdGaussian, HasDerivWithinAt.sinh, cfcHom_nnreal_eq_restrict, Asymptotics.IsThetaTVS.symm, fderiv_deriv, DifferentiableOn.finset_prod, ConcaveOn.derivWithin_le_slope, Asymptotics.isLittleOTVS_neg_right, MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt, MeasureTheory.MemLp.norm_rpow_div, Diffeology.isPlot_iff_contDiff, signedDist_vsub_self_rev, coord_norm', Int.Matrix.one_le_norm_A_of_ne_zero, ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, OrthonormalBasis.measurePreserving_repr_symm, spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIntegerLattice, spec_cfcₙAux, Asymptotics.IsBigOTVS.congr, norm_fderiv_norm, MeasureTheory.measureReal_abs_gt_le_integral_charFun, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, EuclideanSpace.piLpCongrLeft_single, HasDerivAt.ofReal_comp, hasFDerivAt_exp_smul_const, Differentiable.inner, DifferentiableAt.sin, DifferentiableAt.ofReal_cpow_const, signedDist_linear_apply, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, Real.hasDerivAt_log, oneTangentSpaceIcc_def, Asymptotics.IsEquivalent.div, fderiv_finset_prod, IccRightChart_extend_top_mem_frontier, ConcaveOn.deriv_le_slope, rotationOf_coe, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, hasFDerivWithinAt_euclidean, Module.Basis.parallelepiped_eq_map, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, DifferentiableAt.differentiableAt_norm_of_smul, MeasureTheory.tendsto_eLpNorm_condExp, iteratedDeriv_comp_two, MeasureTheory.eLpNorm_one_condExp_le_eLpNorm, signedDist_self, MeasureTheory.MemLp.norm, ProperCone.dual_flip_dual, RCLike.ofRealCLM_norm, integrable_inv_one_add_sq, HasStrictDerivAt.comp, Complex.sqrt_map, deriv_cos, signedDist_vsub_self, DifferentiableAt.arsinh, MeasureTheory.SignedMeasure.rnDeriv_smul, ProbabilityTheory.integrable_rpow_abs_of_integrable_exp_mul, Affine.Simplex.exists_forall_signedInfDist_eq_iff_eq_incenter, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, signedDist_smul, MeasureTheory.eLpNorm_mono_ae_real, TemperedDistribution.fourierTransform_apply, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, Real.hasStrictDerivAt_arctan, ProbabilityTheory.charFun_inv_sqrt_mul_sum, HasDerivAtFilter.comp_of_eq, ZLattice.volume_image_eq_volume_div_covolume, StrictConcaveOn.strictAntiOn_derivWithin, Asymptotics.IsBigOTVS.eventually_smallSets, MeasureTheory.SignedMeasure.haveLebesgueDecomposition_smul, Real.map_linearMap_volume_pi_eq_smul_volume_pi, nnnorm_apply_le_nnnorm_cfc, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, Euclidean.closedBall_eq_preimage, Matrix.isHermitian_iff_isSymmetric, TrivSqZeroExt.instL1IsBoundedSMul, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, hasStrictFDerivAt_finset_prod, ProbabilityTheory.memLp_id_gaussianReal, intervalIntegral.differentiable_integral_of_continuous, deriv_zpow, LipschitzWith.locallyIntegrable_lineDeriv, AddCircle.norm_neg_period, SmoothBumpCovering.embeddingPiTangent_injOn, HasDerivWithinAt.comp_hasFDerivAt, MeasureTheory.memLp_norm_rpow_iff, StrongDual.mem_polarSubmodule, exists_dual_vector', derivWithin_inv', Asymptotics.isLittleOTVS_fun_comm, FormalMultilinearSeries.apply_eq_prod_smul_coeff, Orientation.kahler_rightAngleRotation_left, Asymptotics.isLittleOTVS_comm, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, ConcaveOn.slope_le_of_hasDerivWithinAt, Asymptotics.IsLittleOTVS.snd, DifferentiableWithinAt.div, Real.hasDerivAt_mulExpNegMulSq, MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, Real.fourierIntegral_fderiv, InnerProductSpace.toMatrix_rankOne, AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn, cfcₙHom_real_eq_restrict, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, Real.differentiableOn_arccos, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, IsLocalMin.deriv_eq_zero, Real.hasDerivAt_cosh, ConcaveOn.le_slope_of_hasDerivWithinAt_Iio, Real.tendsto_deriv_mul_log_atTop, Orientation.abs_areaForm_of_orthogonal, MeasureTheory.AECover.integrable_of_integral_tendsto_of_nonneg_ae, LipschitzOnWith.ae_differentiableWithinAt_real, MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff, UnitAddCircle.norm_eq, HasFPowerSeriesAt.deriv, innerₗ_apply_apply, DifferentiableOn.div, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, MeasureTheory.eLpNorm_norm_rpow, StrictConvexOn.lt_slope_of_hasDerivWithinAt, Asymptotics.IsBigOTVS.rfl, Asymptotics.IsLittleOTVS.bot, ContinuousLinearMap.isBigOTVS_comp, PadicAlgCl.valuation_def, hfdifferential_apply, MeasureTheory.Integrable.inner_const, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, CompactlySupportedContinuousMap.toNNRealLinear_apply, Real.hasDerivAt_fourierChar, bilinFormOfRealInner_orthogonal, ContinuousLinearMap.intervalIntegral_apply, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Orientation.kahler_rotation_left, HasDerivWithinAt.inv, SchwartzMap.smulLeftCLM_neg, Complex.conjCLE_enorm, Real.differentiableWithinAt_arccos_Iic, spectrum.differentiableOn_inverse_one_sub_smul, derivWithin_comp, Asymptotics.isBigOTVS_fun_comm, mdifferentiableWithinAt_comp_projIcc_iff, HasDerivWithinAt.limsup_slope_le', HasFDerivAt.isThetaTVS_sub, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, Orientation.inner_sq_add_areaForm_sq, Real.enorm_exp_I_mul_ofReal_sub_one_le, signedDist_smul_of_neg, MeasureTheory.lpNorm_const_smul, VectorField.lieBracket_smul_left, differentiableOn_euclidean, RCLike.reLm_coe, ProbabilityTheory.integrable_rpow_mul_exp_of_integrable_exp_mul, nnnorm_fderiv_norm_rpow_le, differentiableAt_abs_pos, Differentiable.exp, ContinuousLinearMap.adjoint_toSpanSingleton, ProbabilityTheory.integrable_rpow_abs_of_mem_interior_integrableExpSet, ContinuousLinearMap.toBilinForm_injective, integrableOn_exp_neg_Ioi, BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, Real.hasDerivAt_Gamma_one_half, ProbabilityTheory.isPosSemidef_covarianceBilinDual, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, Asymptotics.IsBigOTVS.triangle, fderiv_norm_smul, Diffeology.IsContDiffCompatible.isPlot_iff, MeasureTheory.Measure.integrable_integral_norm_of_integrable_comp, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, MeasureTheory.MemLp.re, RCLike.nnnorm_conj, deriv_comp_of_eq, SchwartzMap.integral_fourier_mul_eq, AkraBazziRecurrence.isEquivalent_smoothingFn_sub_self, MeasureTheory.Integrable.re, range_mfderiv_coe_sphere, HasDerivAt.comp_hasDerivWithinAt, StrictConcaveOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.integrable_prod_iff', RCLike.wInner_one_const_right, hahnEmbedding_isOrderedModule_rat, ConvexOn.derivWithin_le_slope, ProbabilityTheory.Kernel.IsMarkovKernel.integrable, NumberField.linearDisjoint_of_isGalois_isCoprime_discr, Affine.Simplex.sign_signedInfDist_touchpoint_empty, SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, signedDist_vadd_right_swap, SchwartzMap.integralCLM_apply, linearEquiv_det_rotation, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, Real.differentiable_mulExpNegMulSq, ContinuousMap.neg_norm_le_apply, AddCircle.coe_real_preimage_closedBall_period_zero, HasStrictFDerivAt.hasStrictDerivAt, integrable_of_isBigO_exp_neg, hasFDerivAt_iff_isLittleOTVS, nnnorm_algebraMap', Real.differentiableAt_arccos, ConvexOn.real_univ_sSup_of_nat_affine_eq, fderivWithin_sqrt, Complex.conjCLE_apply, NormedSpace.polar_ball, Valued.integer.exists_nnnorm_lt_one, Real.not_DifferentiableAt_log_mul_zero, innerSLFlip_apply, NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective, iccLeftChart_extend_zero, SmoothBumpCovering.comp_embeddingPiTangent_mfderiv, fderivWithin_derivWithin, MeasureTheory.Submartingale.tendsto_eLpNorm_one_limitProcess, hasDerivAt_const_mul, InnerProductSpace.toContinuousLinearMap_toDualMap, MeasureTheory.SignedMeasure.singularPart_smul_nnreal, ProbabilityTheory.covarianceBilin_real, MeasureTheory.eLpNorm_one_le_of_le, MeasureTheory.taylorWithinEval_charFun_two_zero, Euclidean.ball_eq_preimage, Polynomial.fderivWithin_aeval, fderiv_sinh, ConvexOn.leftDeriv_eq_sSup_slope_of_mem_interior, norm_iteratedFDeriv_prod_le, SchwartzMap.lineDerivOp_fourierInv_eq, InformationTheory.rightDeriv_klFun_one, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, Polynomial.fderivWithin, IsLocalFrameOn.eq_iff_coeff, Polynomial.hasDerivAt, MeasureTheory.Integrable.ofReal, AbsoluteValue.Completion.isometry_extensionEmbedding_of_comp, OrthonormalBasis.repr_symm_single, MeasureTheory.hasFiniteIntegral_toReal_iff, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, ProbabilityTheory.covarianceBilin_of_not_memLp, InformationTheory.rightDeriv_klFun, interior_range_modelWithCornersEuclideanHalfSpace, WeakDual.CharacterSpace.norm_le_norm_one, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, Matrix.linfty_opNorm_toMatrix, ConvexOn.real_sSup_of_countable_affine_eq, cfcL_integral, AddCircle.addWellApproximable_ae_empty_or_univ, ProbabilityTheory.integrable_pow_abs_of_mem_interior_integrableExpSet, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.hasStrictDerivAt_cos, IntervalIntegrable.intervalIntegrable_slope, iter_deriv_inv, exists_deriv_eq_zero', AkraBazziRecurrence.deriv_smoothingFn, Real.not_differentiableAt_rpow_const_zero, integrableOn_Ioi_cpow_of_lt, Differentiable.dist, EulerSine.antideriv_cos_comp_const_mul, ProbabilityTheory.condVar_of_sigmaFinite, MeasureTheory.MemLp.haarAddCircle, Differentiable.sqrt, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, RightDerivMeasurableAux.differentiable_set_eq_D, MeasureTheory.AECover.integrable_of_integral_bounded_of_nonneg_ae, hasDerivWithinAt_zpow, intervalIntegral.integrableOn_deriv_right_of_nonneg, MeasureTheory.HasFiniteIntegral.max_zero, mellin_convergent_iff_norm, Monotone.deriv_nonneg, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, Orientation.kahler_mul, derivWithin_fun_finset_prod, innerSL_real_flip, HasDerivAt.real_of_complex, ProbabilityTheory.covarianceBilinDual_comm, RCLike.nnnorm_two, ProbabilityTheory.iteratedDeriv_two_cgf, DifferentiableWithinAt.rpow_const, MeasureTheory.Integrable.pos_part, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, measurableSet_of_differentiableWithinAt_Ioi, HasDerivWithinAt.fun_pow, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, Real.differentiable_iteratedDeriv_sin, ProbabilityTheory.deriv_mgf_zero, MeasureTheory.charFun_eq_charFunDual_toDualMap, HasMFDerivAt.prod, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sigmoid, exists_ratio_deriv_eq_ratio_slope', ProperCone.dual_dual_flip, flip_innerₗ, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, WeakDual.CharacterSpace.mem_spectrum_iff_exists, intervalIntegral.fderivWithin_integral_of_tendsto_ae, MeasureTheory.LocallyIntegrableOn.norm, HasStrictFDerivAt.isBigOTVS_sub, Orientation.volumeForm_robust', instSMulCommClass_sphere_ball_ball, PiLp.basis_toMatrix_basisFun_mul, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, NumberField.mixedEmbedding.instIsZLatticeRealMixedSpaceIdealLattice, EulerSine.antideriv_sin_comp_const_mul, DifferentiableOn.arctan, Asymptotics.IsLittleOTVS.isBigOTVS, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, signedDist_vadd_left, Diffeology.IsPlot.contDiff, ModularGroup.tendsto_lcRow0, Differentiable.fun_finset_prod, ProbabilityTheory.integrable_kernel_prodMk_left, NormedSpace.sInter_polar_eq_closedBall, ProbabilityTheory.deriv_cgf, Complex.imCLM_coe, isBoundedBilinearMap_inner, DifferentiableOn.cosh, intervalIntegral.integral_hasFDerivWithinAt, deriv_pow_field, SmoothBumpCovering.embeddingPiTangent_injective, ProbabilityTheory.memLp_tilted_mul, HasFPowerSeriesAt.hasDerivAt, Int.nnnorm_coe_units, HasDerivWithinAt.rpow_const, ProbabilityTheory.covarianceBilin_apply, ContinuousLinearMap.isThetaTVS_comp, Polynomial.hasDerivAt_aeval, DifferentiableWithinAt.arsinh, ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt, AkraBazziRecurrence.isEquivalent_one_add_smoothingFn_one, Asymptotics.isLittleOTVS_congr, HasStrictFDerivAt.isThetaTVS_sub, MeasureTheory.integrableOn_Ioi_deriv_of_nonneg', hasDerivAt_gronwallBound, deriv_finset_prod, ContinuousMap.comp_attachBound_mem_closure, Orientation.kahler_map, isBigO_deriv_ofReal_cpow_const_atTop, deriv_div, exists_deriv_eq_slope', hasDerivAt_ofReal_cpow_const, hasDerivAt_norm_rpow, Real.differentiableAt_tan_of_mem_Ioo, Real.not_continuousAt_deriv_qaryEntropy_zero, NumberField.mixedEmbedding.latticeBasis_apply, HasFDerivAt.hasDerivAt, ProbabilityTheory.uncenteredCovarianceBilin_of_not_memLp, signedDist_apply_linear_apply, BoundedContinuousFunction.star_mem_range_charAlgHom, MeasureTheory.charFun_map_mul_comp, TemperedDistribution.fourierInv_apply, cfcₙAux_mem_range_inr, Ideal.Quotient.norm_mk_lt, ContinuousMap.adjoin_id_eq_span_one_add, MonotoneOn.exists_tendsto_deriv_liminf_lintegral_enorm_le, ProbabilityTheory.covarianceBilin_map, Unitization.nnnorm_eq_sup, AffineSubspace.signedInfDist_singleton, norm_deriv_eq_norm_fderiv, Seminorm.bound_of_shell_sup, ContinuousMap.apply_le_norm, MeasureTheory.AEStronglyMeasurable.integrable_truncation, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, AkraBazziRecurrence.differentiableAt_smoothingFn, ContinuousLinearMap.nnnorm_smulRight_apply, deriv_id, SchwartzMap.fderivCLM_fourier_eq, HasFDerivWithinAt.isLittleOTVS, Bundle.ContinuousRiemannianMetric.pos, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, Convex.image_deriv, StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi, Real.deriv_cos, IsCoercive.continuousLinearEquivOfBilin_apply, integrableOn_Ioi_exp_neg_mul_sq_iff, Orientation.volumeForm_zero_neg, BoundedContinuousFunction.nnnorm_coeFn_eq, Real.differentiableAt_binEntropy, VectorField.lieBracketWithin_smul_right, QuadraticForm.equivalent_sign_ne_zero_weighted_sum_squared, Real.hasDerivAt_arctan', Orientation.areaForm_map, Real.enorm_rpow_of_nonneg, Asymptotics.isEquivalent_iff_tendsto_one, differentiable_neg, hasDerivAt_neg, LinearMap.derivWithin, ProbabilityTheory.integrable_of_mem_interior_integrableExpSet, inner_gradientWithin_left, deriv_bernoulliFun, NNReal.nnnorm_eq, det_fderivPiPolarCoordSymm, Polynomial.hasStrictDerivAt, HasDerivWithinAt.cexp, Real.deriv2_qaryEntropy, Real.differentiableAt_exp, Real.hasStrictDerivAt_arcsin, ConvexOn.slope_le_of_hasDerivAt, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, NumberField.mixedEmbedding.commMap_apply_of_isReal, derivWithin_fun_pow, ZSpan.fundamentalDomain_pi_basisFun, AffineMap.hasStrictDerivAt, LipschitzWith.ae_differentiableAt_of_real, InnerProductSpace.toLinearMap_rankOne, VectorField.mpullback_mfderivWithin_apply_smul, Seminorm.finset_sup_smul, MeasureTheory.Measure.integrable_comp_iff, Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real, HasMFDerivWithinAt.mul, Bundle.RiemannianMetric.pos, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.MemLp.of_haarAddCircle, HilbertBasis.repr_self, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', Seminorm.isBounded_sup, NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, MeasureTheory.integrable_norm_pow_of_le, Real.differentiable_iteratedDeriv_cosh, Real.hasStrictDerivAt_sin, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, DifferentiableAt.abs, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, BoundedContinuousFunction.add_norm_nonneg, MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt, Complex.equivRealProdCLM_symm_apply_re, DifferentiableOn.cexp, HasFDerivAtFilter.isLittleOTVS, iteratedDerivWithin_eq_equiv_comp, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, MeasureTheory.hasFiniteIntegral_prod_iff, nnnorm_cfcₙ_le_iff, MeasureTheory.charFun_map_mul, DifferentiableAt.cos, MeasureTheory.integrable_llr_tilted_right, LinearIsometry.im_apply_eq_im, CompactlySupportedContinuousMap.toReal_smul, fderiv_fun_mul, Orientation.inner_rightAngleRotationAux₁_right, hasFDerivAt_pi_polarCoord_symm, BoundedContinuousFunction.norm_sub_nonneg, NumberField.mixedEmbedding.latticeBasis_repr_apply, Filter.HasBasis.isBigOTVS_iff, MeasureTheory.MemLp.im, derivWithin_sqrt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, DifferentiableWithinAt.norm_sq, ContinuousMapZero.instCStarRing, SchwartzMap.integral_fourierInv_mul_eq, Asymptotics.IsEquivalent.inv, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', ConvexOn.deriv_le_slope, ProbabilityTheory.integrable_pow_abs_mul_exp_of_integrable_exp_mul, signedDist_right_lineMap, ConvexOn.rightDeriv_le_slope, ProbabilityTheory.uncenteredCovarianceBilin_zero, HasStrictFDerivAt.multiset_prod, Matrix.toEuclideanLin_apply_piLp_toLp, Asymptotics.isLittleOTVS_iff_tendsto_inv_smul, Real.differentiable_fourierChar, hasFDerivAt_integral_of_dominated_of_fderiv_le, VectorFourier.fourierPowSMulRight_apply, OrthonormalBasis.norm_dual, DifferentiableOn.sin, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, ProbabilityTheory.Kernel.eLpNorm_densityProcess_le, Real.deriv_cos', isBigO_deriv_rpow_const_atTop, hasDerivAt_pow, contDiff_succ_iff_deriv, DifferentiableOn.dist, MeasureTheory.integral_divergence_of_hasFDerivAt_off_countable, Real.deriv_rpow_const', StrictConcaveOn.lt_slope_of_hasDerivWithinAt, integrableOn_mul_sum_Icc, NumberField.mixedEmbedding.normAtPlace_negAt, Orthonormal.orthogonalFamily, Real.differentiableAt_arcosh, StrictConvexOn.derivWithin_lt_slope, HasDerivAt.rpow_const, contDiffOn_succ_iff_derivWithin, IsLocalMaxOn.fderivWithin_eq_zero, AlternatingMap.measure_def, MeasureTheory.Integrable.of_mem_Icc, Seminorm.bound_of_shell_smul, WeakDual.isBounded_toStrongDual_preimage_iff_isBounded, LinearMap.isSymmetric_iff_sesqForm, hasDerivWithinAt_derivWithin_iff, hasStrictDerivAt_exp, HasDerivAt.div, Complex.isometryOfOrthonormal_apply, HasDerivWithinAt.pow, Complex.sameRay_iff, AddCircle.norm_le_half_period, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, Orientation.areaForm_map_complex, DifferentiableOn.rpow_const, Polynomial.deriv, Int.nnnorm_natCast, Real.hasDerivAt_tan_of_mem_Ioo, contMDiffOn_comp_projIcc_iff, NumberField.mixedEmbedding.finrank, SchwartzMap.integral_fourier_smul_eq, Real.iter_deriv_rpow_const, AffineMap.differentiableOn, Complex.imCLM_nnnorm, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, Affine.Simplex.abs_signedInfDist_eq_dist_of_mem_affineSpan_range, Polynomial.hasFDerivWithinAt_aeval, Orientation.inner_rightAngleRotation_right, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, Differentiable.div_const, fderiv_sqrt, ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_pow, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, Asymptotics.isThetaTVS_comm, hasStrictDerivAt_inv, RCLike.wInner_one_const_left, ProbabilityTheory.HasSubgaussianMGF.memLp, LinearMap.continuous_of_isClosed_ker, Complex.sameRay_iff_arg_div_eq_zero, Affine.Simplex.ExcenterExists.signedInfDist_excenter, Orientation.volumeForm_apply_le, HasDerivAt.iterate, differentiableAt_iff_comp_add_const, MeasureTheory.lintegral_enorm_le_liminf_of_tendsto, VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral, RCLike.nnnorm_nnqsmul, ProbabilityTheory.Kernel.eLpNorm_density_le, NumberField.mixedEmbedding.negAt_apply_norm_isReal, innerₛₗ_apply, deriv_inner_apply, HasFDerivWithinAt.isBigOTVS_sub, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, hasStrictFDerivAt_list_prod, UnitAddCircle.mem_addWellApproximable_iff, div_le_egauge_ball, StrongDual.toLp_apply, Asymptotics.IsThetaTVS.trans, MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_top, DifferentiableWithinAt.fun_finset_prod, CompactlySupportedContinuousMap.eq_toRealPositiveLinear_toReal, Real.deriv_fourierChar, OrthonormalBasis.sum_repr, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, contDiff_infty_iff_deriv, Asymptotics.IsLittleOTVS.mono, LinearMap.toSeminorm_ball_zero, Complex.nnnorm_intCast, Real.differentiableAt_negMulLog, DifferentiableAt.cexp, iter_deriv_inv_linear_sub, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Orientation.inner_rightAngleRotationAux₁_left, Asymptotics.IsThetaTVS.trans_isLittleOTVS, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, Asymptotics.IsBigOTVS.trans_isThetaTVS, exists_embedding_euclidean_of_compact, UnitAddTorus.mFourierBasis_repr, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, HasDerivAt.inner, MeasureTheory.Integrable.fintype_prod, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', Orientation.areaForm_apply_self, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, StrictConvexOn.slope_lt_of_hasDerivWithinAt, MeasureTheory.Integrable.real_toNNReal, ProbabilityTheory.hasFiniteIntegral_compProd_iff, Real.differentiable_fourierChar_neg_bilinear_right, Complex.conjCLE_norm, ProbabilityTheory.variance_linearMap_gaussianReal, Asymptotics.IsLittleOTVS.trans, fourierBasis_repr, LeftInvariantDerivation.evalAt_mul, MeasureTheory.SignedMeasure.integrable_rnDeriv, ConvexOn.monotoneOn_derivWithin, AffineSubspace.signedInfDist_def, isScalarTower_sphere_ball_ball, NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply, ConcaveOn.slope_le_rightDeriv, MeasureTheory.BoundedContinuousFunction.inner_toLp, exists_extension_norm_eq, MeasureTheory.taylorWithinEval_charFun_two_zero', ProbabilityTheory.integrable_exp_mul_of_le, ConcaveOn.antitoneOn_derivWithin, DifferentiableAt.sinh, hasStrictDerivAt_exp_zero_of_radius_pos, differentiableAt_conj_conj_iff, NormedSpace.closedBall_inv_subset_polar_closedBall, MeasureTheory.integral2_divergence_prod_of_hasFDerivAt, MeasureTheory.convolution_mul_swap, MeasureTheory.convolution_mono_right, signedDist_lineMap_right, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, ProbabilityTheory.integral_id_multivariateGaussian', AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn, Complex.imCLM_enorm, SchwartzMap.tsupport_derivCLM_subset, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, det_rotation, RCLike.enorm_conj, PadicInt.norm_mahler_eq, Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc, hasStrictDerivAt_exp_of_mem_ball, complexOfReal_fderiv, differentiable_norm_rpow, VectorFourier.fourierIntegral_probChar, fderivWithin_mul_const, Affine.Simplex.sign_signedInfDist_incenter, Affine.Simplex.ExcenterExists.sign_signedInfDist_excenter, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, BoundedContinuousFunction.norm_normComp, AlternatingMap.measure_parallelepiped, ConvexOn.le_slope_of_hasDerivWithinAt, ConvexOn.slope_le_derivWithin, derivWithin_finset_prod, derivWithin_div, norm_cfcHom, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, Affine.Simplex.signedInfDist_affineCombination, tendsto_sum_mul_atTop_nhds_one_sub_integral, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, CompactlySupportedContinuousMap.integralPositiveLinearMap_toFun, MeasureTheory.ComplexMeasure.re_apply, WeakDual.isBounded_closedBall, Polynomial.differentiableWithinAt_aeval, Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero, signedDist_apply, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, MeasureTheory.integrable_right_of_integrable_add_of_nonneg, AddCircle.norm_eq, le_egauge_ball_one, not_integrableOn_Ici_inv, Matrix.l2_opNNNorm_diagonal, Int.toNat_add_toNat_neg_eq_nnnorm, spectrum.exists_nnnorm_eq_spectralRadius, HasFDerivAt.hasGradientAt, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp_real, Real.differentiableAt_sinh, ContinuousLinearMap.isBigOTVS_fun_comp, NormedField.denselyOrdered_range_nnnorm, signedDist_eq_dist_iff_vsub_mem_span, Real.differentiable_iteratedDeriv_sinh, FormalMultilinearSeries.coeff_iterate_fslope, HasFPowerSeriesAt.eq_zero, exp_neg_integrableOn_Ioi, MeasureTheory.Integrable.const_inner, rotation_symm, fderivWithin_cosh, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, deriv_pos_left_of_sign_deriv, Complex.equivRealProdCLM_symm_apply_im, AddChar.linearIndependent, integrable_exp_neg_mul_sq_iff, nndist_homothety_center, MeasureTheory.Measure.integrableOn_toReal_rnDeriv, not_integrableOn_Ioi_inv, ProbabilityTheory.norm_uncenteredCovarianceBilin_le, complexOfReal_hasDerivAt, Real.hasFDerivAt_fourierChar_neg_bilinear_right, DifferentiableWithinAt.cexp, ProbabilityTheory.IndepFun.integrable_exp_mul_add, Antitone.deriv_nonpos, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, differentiable_tsum', MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral, VectorFourier.norm_fourierSMulRight, Polynomial.differentiable, ContinuousLinearEquiv.coord_norm', deriv_fun_pow, GaussianFourier.integrable_cexp_neg_sum_mul_add, HasDerivAt.fun_inv, ProbabilityTheory.integrable_pow_mul_exp_of_mem_interior_integrableExpSet, DifferentiableAt.div_const, differentiableOn_abs, ProbabilityTheory.hasDerivAt_mgf, HasFPowerSeriesAt.eq_zero_of_eventually, div_le_egauge_closedBall, LinearMap.mem_span_iff_bound, ProbabilityTheory.integrable_toReal_condDistrib, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, SchwartzMap.smulLeftCLM_sub, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, MeasureTheory.integrable_toReal_iff, derivWithin_id, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zero, SchwartzMap.fourier_fderivCLM_eq, exists_deriv_eq_slope, integrable_mulExpNegMulSq_comp_restrict_of_isCompact, hasStrictFDerivAt_exp_smul_const, integrableOn_rpow_mul_exp_neg_mul_sq, Complex.hasStrictFDerivAt_log_real, Asymptotics.isBigOTVS_map, Real.hasStrictDerivAt_tan, RCLike.wInner_cWeight_const_right, SimpleGraph.isEquivalent_extremalNumber, MeasureTheory.integrable_norm_rpow_of_le, Real.nnnorm_rpow_of_nonneg, HasStrictFDerivAt.mul, NumberField.mixedEmbedding.fundamentalCone.abs_det_fderiv_expMapBasis, iter_deriv_inv_linear, ProbabilityTheory.deriv_cgf_zero, Asymptotics.IsBigOTVS.neg_left, DifferentiableOn.exp, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, DifferentiableAt.norm, Real.differentiable_fourierChar_neg_bilinear_left, MeasureTheory.integrable_left_of_integrable_add_of_nonneg, DifferentiableOn.fun_div, fderiv_norm_smul_pos, MeasureTheory.StronglyAdapted.integrable_upcrossingsBefore, Real.hasDerivAt_arctan, NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_expMap_symm, Finset.nnnorm_prod_le, HasStrictDerivAt.finset_prod, Affine.Simplex.ExcenterExists.signedInfDist_excenter_eq_mul_sum_inv, hasDerivWithinAt_id, ContinuousMultilinearMap.smulRightL_apply, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, EuclideanSpace.nnnorm_eq, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, iteratedDerivWithin_scomp_two, RCLike.nnnorm_natCast, MeasureTheory.HasFiniteIntegral.min_zero, Asymptotics.IsLittleOTVS.congr_right, IsLocalMinOn.fderivWithin_nonneg, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.reCLM_norm, range_modelWithCornersEuclideanHalfSpace, ContinuousMapZero.toNNReal_neg_smul, ProbabilityTheory.integrable_pow_abs_mul_exp_add_of_integrable_exp_mul, AddChar.wInner_cWeight_eq_boole, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, differentiableAt_of_deriv_ne_zero, MeasureTheory.exists_upperSemicontinuous_le_integral_le, EuclideanSpace.restrict₂_apply, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, HasDerivAt.comp_hasDerivWithinAt_of_eq, LinearMap.toSeminormFamily_apply, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, MeasureTheory.integrable_llr_tilted_left, sum_mul_eq_sub_integral_mul, TemperedDistribution.fourier_apply, deriv_sin, nnnorm_cfcHom, Module.Basis.opNNNorm_le, Orientation.areaForm_rightAngleRotation_right, Real.deriv_arcsin_aux, IsLocalMin.fderiv_eq_zero, HasDerivAtFilter.comp, ContinuousLinearMap.coe_complexOfReal, HasFDerivWithinAt.finset_prod, Real.differentiableAt_qaryEntropy, DifferentiableAt.exp, Affine.Simplex.exists_forall_signedInfDist_eq_iff_excenterExists_and_eq_excenter, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, Complex.integral_boundary_rect_of_differentiableOn_real, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, Asymptotics.IsEquivalent.listProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, AkraBazziRecurrence.isLittleO_deriv_smoothingFn, Real.differentiable_arsinh, SchwartzMap.smulLeftCLM_ofReal, norm_iteratedFDeriv_smul_le, Orientation.oangle_map_complex, integrable_exp_neg_mul_sq, ContinuousLinearEquiv.coord_norm, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, HasDerivAt.finset_prod, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, HasStrictDerivAt.cos, ProbabilityTheory.integrable_rpow_of_integrable_exp_mul, LinearPMap.mem_adjoint_domain_iff, spectrum.hasDerivAt_resolvent_const_right, differentiableWithinAt_zpow, ProbabilityTheory.Kernel.tendsto_eLpNorm_one_restrict_densityProcess_limitProcess, CircleIntegrable.out, nnnorm_prod, AddCircle.closedBall_ae_eq_ball, contDiffOn_infty_iff_deriv_of_isOpen, SchwartzMap.integrable_pow_mul, fderivWithin_pow, MeasureTheory.memLp_of_bounded, ContinuousMultilinearMap.norm_smulRight, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, StrictMonoOn.exists_slope_lt_deriv, ContinuousLinearMap.hasDerivWithinAt, MeasureTheory.Submartingale.memLp_limitProcess, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, NormedSpace.polar_closedBall, PadicComplex.nnnorm_extends', HasDerivAt.conj_conj, ContinuousMapZero.toNNReal_smul, integrable_mulExpNegMulSq_comp, integrable_cexp_quadratic, AffineSubspace.signedInfDist_apply_self, Asymptotics.IsLittleOTVS.add, deriv_pos_right_of_sign_deriv, coe_innerₛₗ_apply, ProbabilityTheory.covarianceBilinDual_of_not_memLp, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self_of_isProbabilityMeasure, fderivWithin_arctan, isScalarTower_closedBall_closedBall_ball, StrictMonoOn.exists_deriv_lt_slope, HasGradientAt.hasDerivAt, ModularGroup.lcRow0_apply, hasDerivAt_exp_zero, deriv_circleMap_eq_zero_iff, Complex.imCLM_apply, MeasureTheory.charFun_map_eq_charFunDual_smul, MeasureTheory.integrable_withDensity_iff, InnerProductSpace.continuousLinearMapOfBilin_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, NormedSpace.double_dual_bound, HasDerivAt.comp_ringHom, NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, PeriodPair.indep, Module.Basis.opNorm_le, ContMDiff.codRestrict_sphere, Real.differentiable_rpow_const, ProbabilityTheory.integrable_exp_mul_of_mem_Icc, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, SchwartzMap.smulLeftCLM_apply, MeasureTheory.Integrable.norm, ProbabilityTheory.exists_integrable_exp_sq_of_map_rotation_eq_self, SchwartzMap.tsum_eq_tsum_fourierIntegral, ProbabilityTheory.uncenteredCovarianceBilinDual_apply, Orientation.kahler_rightAngleRotation_right, AddCircle.norm_eq', ProbabilityTheory.integrable_pow_of_integrable_exp_mul, WeakDual.seminormFamily_apply, Quaternion.linearIsometryEquivTuple_apply, MeasureTheory.intervalIntegrable_charFun, fderiv_cosh, ProbabilityTheory.integrable_rpow_of_mem_interior_integrableExpSet, HasStrictFDerivAt.fun_mul, NormedSpace.exp_add_of_mem_ball, hasFDerivWithinAt_pow, Asymptotics.IsLittleOTVS.fun_add, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, NormedField.valuation_apply, hasFDerivWithinAt_iff_isLittleOTVS, hasDerivWithinAt_inv, Asymptotics.isBigOTVS_prodMk_left, hasStrictDerivAt_id, instNonemptySeedRatReal, HasGradientAt.fderiv_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, Differentiable.rpow_const, TemperedDistribution.derivCLM_apply_apply, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, abs_signedDist_le_dist, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, mfderiv_subtype_coe_Icc_one, Polynomial.hasFDerivWithinAt, Real.hasStrictFDerivAt_rpow_of_neg, LinearMap.hasDerivAt, norm_iteratedFDeriv_eq_norm_iteratedDeriv, Complex.isometryOfOrthonormal_symm_apply, Real.hasStrictDerivAt_rpow_const, VectorField.lieBracket_smul_right, LinearMap.hasDerivAtFilter, intervalIntegral.integral_hasFDerivAt, MeasureTheory.memLp_norm_iff, integrable_mul_cexp_neg_mul_sq, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, ProbabilityTheory.HasCondSubgaussianMGF.integrable_exp_mul, Complex.GammaIntegral_convergent, MeasureTheory.hausdorffMeasure_homothety_preimage, DifferentiableAt.arctan, HasFPowerSeriesAt.locally_zero_iff, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.fderiv_integral, inner_gradient_left, Asymptotics.IsEquivalent.rpow, ConvexOn.exists_affine_le_of_lt, ProbabilityTheory.IsGaussian.charFunDual_eq', HasDerivWithinAt.comp_hasDerivAt, RealRMK.le_rieszMeasure_tsupport_subset, innerSL_apply_coe, AffineSubspace.signedInfDist_apply_of_mem, hasDerivAt_exp_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, Real.hasDerivAt_Gamma_nat, HasStrictFDerivAt.inner, nndist_right_midpoint, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, differentiableAt_abs, derivWithin_fun_inv', ConvexOn.real_sSup_of_nat_affine_eq, ProbabilityTheory.IsRatCondKernelCDF.integrable, Ideal.Quotient.norm_mk_le, ProbabilityTheory.charFun_gaussianReal, WeakDual.CharacterSpace.exists_apply_eq_zero, norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin, derivWithin_sinh, Real.not_continuousAt_deriv_qaryEntropy_one, differentiableAt_dslope_of_ne, DifferentiableOn.norm, Complex.map_isometryOfOrthonormal, hasDerivAt_zpow, TemperedDistribution.fourierTransformInv_apply, HasDerivAt.sin, MeasureTheory.exists_upperSemicontinuous_lt_integral_gt, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, Asymptotics.IsBigOTVS.mono, ProbabilityTheory.integrable_cauchyPDFReal, Asymptotics.IsLittleOTVS.proj, SchwartzMap.integral_clm_comp_laplacian_right_eq_left, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, MeasureTheory.MemLp.integrable_norm_pow', Matrix.l2_opNorm_def, Asymptotics.IsBigOTVS.trans, signedDist_apply_linear, Real.differentiableAt_sin, RCLike.wInner_nonneg, Matrix.toEuclideanLin_toLp, Bundle.RiemannianMetric.continuousAt, StrictConcaveOn.leftDeriv_lt_slope, parallelepiped_orthonormalBasis_one_dim, Complex.reCLM_enorm, MeasureTheory.integrable_mconv_iff, Asymptotics.isLittleOTVS_insert, Real.hasDerivAt_sinh, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, Real.deriv_log_comp_eq_logDeriv, norm_innerSL_le, MeasureTheory.eLpNorm'_norm_rpow, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, integrable_cexp_quadratic', Complex.one_div_sub_sq_sub_one_div_sq_hasFPowerSeriesOnBall_zero, InformationTheory.not_differentiableAt_klFun_zero, Real.deriv_cosh, PeriodPair.lattice_eq_span_range_basis, Real.exists_extension_norm_eq, AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn, Real.deriv_sin, AffineMap.deriv, SmoothBumpCovering.embeddingPiTangent_coe, DifferentiableWithinAt.sinh, DifferentiableOn.arsinh, contDiffOn_infty_iff_derivWithin, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ProbabilityTheory.covarianceBilinDual_of_not_memLp', PadicComplex.nnnorm_extends, SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, AnalyticOnNhd.eval_continuousLinearMap', UnitAddTorus.span_mFourierLp_closure_eq_top, AbsolutelyContinuousOnInterval.integral_mul_deriv_eq_deriv_mul, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.Integrable.integral_norm_condKernel, Complex.nnnorm_eq_one_of_pow_eq_one, contDiffOn_iff_continuousOn_differentiableOn_deriv, ProbabilityTheory.integrable_gaussianPDFReal, Asymptotics.IsBigOTVS.refl, DifferentiableWithinAt.exp, expNegInvGlue.differentiable_polynomial_eval_inv_mul, HasGradientWithinAt.hasFDerivWithinAt, DifferentiableWithinAt.rpow, hasFDerivAt_exp, Differentiable.rpow, Orientation.volumeForm_comp_linearIsometryEquiv, Pi.orthonormalBasis_repr, Polynomial.hasDerivWithinAt, differentiableAt_iff_comp_sub_const, complexOfReal_derivWithin, norm_fderiv_norm_id_rpow, ContinuousLinearMap.isBigOTVS_id, ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_integrable_exp_mul, NumberField.Units.basisOfIsMaxRank_fundSystem, LinearMap.isAdjointPair_inner, HasDerivWithinAt.log, NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily, AnalyticOnNhd.eval_mvPolynomial, hasDerivAt_conj_conj_iff, WithLp.unitization_nnnorm_def, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, Asymptotics.IsBigOTVS.fst, Affine.Simplex.signedInfDist_apply_of_ne, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, fderivWithin_pow_ring, signedDist_left_lineMap, hasFDerivAt_inv, Real.deriv_mul_log_zero, DifferentiableWithinAt.inner, NumberField.mixedEmbedding.norm_negAt, VectorFourier.fourierIntegral_fderiv, ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, IccRightChart_extend_top, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, BoundedContinuousFunction.char_add_eq_mul, Asymptotics.IsBigOTVS.of_egauge_le_mul, Asymptotics.IsLittleOTVS.symm, Asymptotics.IsBigO.isBigOTVS, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, Asymptotics.isLittleOTVS_neg_left, Real.hasDerivWithinAt_arccos_Iic, ConcaveOn.slope_le_deriv, measurableSet_of_differentiableWithinAt_Ici, ConvexOn.slope_le_of_hasDerivWithinAt_Iio, fderivInnerCLM_apply, ConvexOn.sSup_affine_eq, nndist_self_homothety, boundary_Icc, deriv_sqrt_mul_log', Asymptotics.IsLittleOTVS.of_tendsto_div, LinearIsometry.re_apply_eq_re, Asymptotics.isLittleOTVS_sup, Real.differentiableAt_binEntropy_iff_ne_zero_one, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, SchwartzMap.integrable_pow_mul_iteratedFDeriv, Real.fderiv_fourierChar_neg_bilinear_left_apply, Real.deriv_tan, ConcaveOn.antitoneOn_deriv, isConformalMap_iff_is_complex_or_conj_linear, Asymptotics.isEquivalent_of_tendsto_one', RCLike.span_one_I, Asymptotics.isThetaTVS_iff_isTheta, Real.exists_measure_rpow_eq_integral, Real.fourierIntegral_continuousMultilinearMap_apply', HasGradientAtFilter.hasDerivAtFilter, AddCircle.norm_eq_of_zero, BoundedContinuousFunction.self_eq_nnrealPart_sub_nnrealPart_neg, MeasureTheory.eLpNorm_conj, UpperHalfPlane.hasStrictFDerivAt_smul, inner_gradient_right, ProbabilityTheory.integrable_comp_iff, Real.fourierIntegral_iteratedFDeriv, hasStrictDerivAt_exp_zero, UpperHalfPlane.det_smulFDeriv, Matrix.PosDef.posDef_sqrt, integrable_cexp_neg_mul_sq, Differentiable.cos, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, differentiableAt_comp_sub_const, finrank_euclideanSpace_fin, ConcaveOn.le_slope_of_hasDerivAt, Real.hasStrictDerivAt_exp, le_egauge_closedBall_one, Complex.conjLIE_toCLE, InformationTheory.deriv_klFun, boundary_product, differentiable_sigmoid, LinearMap.mem_span_iff_continuous, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, NormedField.exists_lt_nnnorm, Asymptotics.isBigOTVS_comm, OrthonormalBasis.repr_reindex, DifferentiableAt.abs_of_pos, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, ConvexOn.real_sSup_affine_eq, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, MeasureTheory.L2.eLpNorm_rpow_two_norm_lt_top, Real.one_div_sub_sq_hasFPowerSeriesOnBall_zero, NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace, AnalyticOnNhd.eval_continuousLinearMap, ProbabilityTheory.uncenteredCovarianceBilinDual_zero, HasDerivWithinAt.comp_hasFDerivAt_of_eq, MeasureTheory.memLp_re_im_iff, ContinuousLinearMap.adjoint_innerSL_apply, HasDerivAt.of_local_left_inverse, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, Asymptotics.isLittleOTVS_pi, ProbabilityTheory.integral_tilted_mul_self, integrableOn_Ioi_deriv_norm_ofReal_cpow, DifferentiableOn.of_dslope, HasDerivWithinAt.iterate, integrable_of_le_of_pow_mul_le, nndist_homothety_self, DifferentiableAt.abs_of_neg, fderivWithin_fun_mul, Differentiable.div, AbsolutelyContinuousOnInterval.intervalIntegrable_deriv, Complex.det_conjLIE, not_differentiableAt_abs_zero, MonotoneOn.ae_differentiableWithinAt, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, RCLike.realLinearIsometryEquiv_apply, derivWithin.log, Orientation.rightAngleRotation_map_complex, ProbabilityTheory.mgf_pos_iff, NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_ne, ConvexOn.rightDeriv_eq_sInf_slope_of_mem_interior, ContinuousLinearMap.norm_smulRightL_apply, Asymptotics.IsThetaTVS.rfl, Orientation.areaForm_rightAngleRotation_left, Differentiable.norm, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, NumberField.mixedEmbedding.disjoint_negAt_plusPart, DifferentiableWithinAt.of_dslope, NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal, DifferentiableAt.dist, contDiff_euclidean, IccLeftChart_extend_bot_mem_frontier, fderiv_norm_sq_apply, LipschitzWith.ae_differentiableAt_real, RCLike.imCLM_apply, fderiv_sin, hasStrictDerivAt_pow, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, derivWithin_mem_iff, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, ConvexOn.univ_sSup_of_nat_affine_eq, Icc_isBoundaryPoint_top, ConvexOn.slope_le_leftDeriv_of_mem_interior, hasFDerivAt_exp_of_mem_ball, NonUnitalIsometricContinuousFunctionalCalculus.nnnorm_quasispectrum_le, MeasureTheory.Measure.euclideanHausdorffMeasure_def, MeasureTheory.MemLp.ofReal, NormedSpace.dual_def, RCLike.inner_eq_wInner_one, HasFDerivAtFilter.hasDerivAtFilter, Asymptotics.IsBigOTVS.pi, HasFDerivAt.isLittleOTVS, HasDerivAt.inv, NumberField.house_eq_sup', fderiv_norm_sq, Seminorm.smul_le_smul, Int.Matrix.exists_ne_zero_int_vec_norm_le, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn, Complex.one_div_sub_hasFPowerSeriesOnBall_zero, Orientation.inner_mul_inner_add_areaForm_mul_areaForm', Real.integrableOn_rpowIntegrand₀₁_Ici, ModularGroup.smul_eq_lcRow0_add, deriv_cosh, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, Real.hasDerivWithinAt_arcsin_Iic, ContinuousLinearMap.toSesqForm_apply_norm_le, hasDerivAt_abs_pos, HilbertBasis.hasSum_repr_symm, MeasureTheory.Submartingale.stoppedValue_leastGE_eLpNorm_le', differentiableWithinAt_Ioi_iff_Ici, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, ProbabilityTheory.charFunDual_stdGaussian, differentiableOn_zpow, fderivWithin_mul, HasDerivWithinAt.fun_inv, instIsManifoldIcc, Bundle.ContinuousRiemannianMetric.isVonNBounded, MeasureTheory.integrable_rnDeriv_mul_log_iff, TemperedDistribution.smulLeftCLM_apply_apply, integrableAtFilter_rpow_atTop_iff, deriv_sqrt, NumberField.mixedEmbedding.mem_rat_span_latticeBasis, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc, nndist_lineMap_left, Orientation.inner_mul_areaForm_sub, fderiv_inner_apply, contDiff_one_iff_deriv, deriv2_sqrt_mul_log, Real.hasStrictDerivAt_log_of_pos, HasFDerivWithinAt.fun_mul, contMDiffOn_projIcc, BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, MeasureTheory.pdf.hasFiniteIntegral_mul, BoxIntegral.unitPartition.tag_mem_smul_span, signedDist_vadd_vadd, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, Asymptotics.IsThetaTVS.refl, parallelepiped_single, HasStrictFDerivAt.finset_prod, contMDiff_circleExp, HasDerivWithinAt.limsup_slope_le, Quaternion.nnnorm_coe, DifferentiableWithinAt.cos, Real.deriv2_negMulLog, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Urysohns.CU.lim_eq_midpoint, MeasureTheory.Measure.integrable_pow_neg_integrablePower, hasFDerivAt_integral_of_dominated_loc_of_lip, norm_jacobiTheta₂_term_fderiv_le, MeasureTheory.taylorWithinEval_charFun_zero, fderiv_eq_smul_deriv, integrableOn_rpow_mul_exp_neg_mul_rpow, MeasureTheory.Measure.integrable_toReal_rnDeriv, BoundedContinuousFunction.char_apply, Real.isEquivalent_sinh, Int.Matrix.exists_ne_zero_int_vec_norm_le', intervalIntegral.differentiableOn_integral_of_continuous, hasStrictFDerivAt_exp_smul_const_of_mem_ball, differentiable_circleMap, integrableOn_exp_mul_complex_Ioi, NormedSpace.exp_add, MeasureTheory.Integrable.im, ProbabilityTheory.IsGaussian.exists_integrable_exp_sq, ProbabilityTheory.integrable_stieltjesOfMeasurableRat, Complex.restrictScalars_toSpanSingleton', Real.differentiableAt_negMulLog_iff, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal, BoundedContinuousFunction.integrable_of_nnreal, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, IsLocalMinOn.fderivWithin_eq_zero, Real.deriv2_mul_log, Complex.reCLM_apply, Real.hasDerivAt_negMulLog, Orientation.abs_volumeForm_apply_le, Complex.conjLIE_symm, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, BoundedContinuousFunction.exists_extension_norm_eq_of_isClosedEmbedding', StrictConvexOn.slope_lt_of_hasDerivAt, deriv_id', hasStrictFDerivAt_euclidean, hasFDerivAt_finset_prod, Affine.Simplex.signedInfDist_incenter, HasStrictDerivAt.fun_pow, ProbabilityTheory.integrable_rpow_mul_exp_of_mem_interior_integrableExpSet
toSeminormedRing 📖	CompOp	4998 math math: 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.subset_bipolar, LinearMap.det_toContinuousLinearMap, HasDerivAt.fun_neg, ValueDistribution.logCounting_zero, instSeparatingDual, hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, ContMDiffAt.coordChangeL, HurwitzZeta.hasSum_int_hurwitzZetaOdd, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, LinearMap.IsSymmetric.clm_adjoint_eq, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, Real.hasDerivAt_arccos, AbsoluteValue.IsEquiv.isEmbedding_equivWithAbs, WeakFEPair.differentiableAt_Λ, HasSum.exp, TemperedDistribution.lineDerivOpCLM_eq, continuousSMul_sphere_ball, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, MeasureTheory.Lp.toTemperedDistributionCLM_apply, IsKrasner.of_completeSpace_of_normal, nhds_hasBasis_absConvex_open, fderiv_iteratedFDeriv, Orientation.kahler_map_complex, Polynomial.differentiableWithinAt, MeasureTheory.convolution_flip, HasStrictDerivAt.fun_pow', DifferentiableOn.zpow, FormalMultilinearSeries.comp_rightInv_aux1, 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, MeasureTheory.setToFun_add_left, ContinuousAt.inner, LinearMap.mkContinuous₂_norm_le', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, HasDerivWithinAt.clog_real, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, ContinuousLinearMap.derivWithin_of_bilinear, Bundle.ContMDiffRiemannianMetric.isVonNBounded, HasDerivWithinAt.clm_comp, NormedSpace.isBounded_polar_of_mem_nhds_zero, SchwartzMap.lineDerivOpCLM_eq, HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div, Valued.instIsUltrametricDist, TensorProduct.enorm_lid, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, differentiableAt_comp_neg, 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, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Complex.differentiableAt_sin, Complex.tendsto_log_nhdsWithin_im_neg_of_re_neg_of_im_zero, HasMFDerivAt.mul, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, Complex.norm_circleTransformBoundingFunction_le, continuousOn_stereoToFun, InnerProductSpace.isPositive_rankOne_self, ModularForm.smul_slash, Seminorm.absorbent_closedBall_zero, ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable, HasDerivAt.const_rpow, LeftInvariantDerivation.lift_zero, contDiffAt_prod', Complex.isOpen_re_lt_EReal, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, HasFDerivWithinAt.continuousMultilinearMap_apply, RCLike.map_apply, MDifferentiableOn.clm_postcomp, differentiable_const_cpow_of_neZero, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, 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, RCLike.geometric_hahn_banach_point_open, HasDerivAt.const_sub, hasDerivWithinAt_add_const_iff, IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, FormalMultilinearSeries.comp_partialSum, CuspFormClass.holo, HasDerivAtFilter.sum, NumberField.mixedEmbedding.lintegral_comp_polarCoord_symm, HasFDerivWithinAt.ccos, Matrix.IsHermitian.isClosedEmbedding_cfcAux, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, SchwartzMap.integral_sesq_fourier_fourier, MeasureTheory.Integrable.fin_nat_prod, 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, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, LinearMap.toLinearMap_tracePositiveLinearMap, hasStrictDerivAt_intCast, LeftInvariantDerivation.leibniz, Ideal.toCharacterSpace_apply_eq_zero_of_mem, MeasureTheory.convolution_eq_right', hasStrictFDerivAt_exp_of_mem_ball, EisensteinSeries.hasSum_e2Summand_symmetricIcc, hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, RCLike.reCLM_apply, HasStrictDerivAt.rpow, HurwitzZeta.differentiableAt_hurwitzZetaEven, curveIntegral_smul, MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left, Real.fourierCoeff_tsum_comp_add, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, RCLike.separate_convex_open_set, NumberField.canonicalEmbedding.mem_span_latticeBasis, Real.fderiv_fourierIntegral, Differentiable.fun_div, Finset.analyticOnNhd_prod, InnerProductSpace.rankOne_one_left_eq_innerSL, ContDiff.fderiv_succ, PeriodPair.hasSumLocallyUniformly_weierstrassP, Subalgebra.spectrum_sUnion_connectedComponentIn, Function.FactorizedRational.divisor, MDifferentiableAt.prod, hasDerivAt_sqrt_mul_log, LinearMap.IsSymmetric.restrictScalars, StrongDual.norm_extendRCLike, LSeries.term_sum, ContinuousLinearMap.continuous_det, HurwitzZeta.hasSum_int_cosKernel₀, HasFiniteFPowerSeriesAt.neg, Complex.isOpenMap_im, HasStrictFDerivAt.csin, SchwartzMap.norm_le_seminorm, HurwitzZeta.hasSum_int_hurwitzZetaEven, ContinuousLinearMap.opNorm_bound_of_ball_bound, Complex.ofRealCLM_coe, Complex.kahler, Complex.norm_polarCoord_symm, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ContinuousLinearMap.map_add_add, ContinuousAlternatingMap.isEmbedding_restrictScalars, HasFDerivWithinAt.pow, ContDiff.div_const, WeakDual.isCompact_polar, MeromorphicOn.divisor_fun_smul, finrank_real_complex_fact', Real.tsum_eq_tsum_fourier, PeriodPair.deriv_weierstrassP, Bornology.IsVonNBounded.of_sub_left, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, HasDerivWithinAt.div_const, Real.hasDerivAt_sigmoid, ContDiffMapSupportedIn.seminorm_monoLM_eq, PeriodPair.coeff_weierstrassPExceptSeries, Polynomial.derivWithin_aeval, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, HasDerivWithinAt.congr_mono, ContinuousMultilinearMap.analyticAt_uncurry_compContinuousLinearMap, complexOfReal_hasDerivWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, ContinuousLinearEquiv.toCompactConvergenceCLM_symm_apply, Matrix.IsHermitian.det_abs, uniformCauchySeqOn_ball_of_deriv, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, RCLike.ofRealLI_apply, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, Complex.comap_exp_cobounded, hasDerivAt_integral_of_dominated_loc_of_lip, ModularForm.mul_slash, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, differentiableAt_zpow, hasFDerivAt_multiset_prod, MDifferentiableAt.cle_arrowCongr, Circle.exp_arg, spectrum.subset_closedBall_norm_mul, Circle.injective_arg, OrthonormalBasis.repr_injective, continuousSMul_sphere_sphere, derivWithin_id', spectrum.instCompactSpace, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, has_pointwise_sum_fourier_series_of_summable, ContinuousLinearMap.continuousSMul, hasFTaylorSeriesUpToOn_top_iff_right, DirichletCharacter.LSeries_eulerProduct_tprod, smoothSheafCommRing.nonunits_stalk, LSeries.term_convolution', CuspFormClass.zero_at_infty_comp_ofComplex, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, PeriodPair.derivWeierstrassPExcept_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeries, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, Bornology.isVonNBounded_add_of_nonempty, NumberField.canonicalEmbedding.latticeBasis_apply, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, SchwartzMap.pairing_apply_apply, InnerProductSpace.isIdempotentElem_rankOne_self, norm_iteratedFDerivWithin_smul_le, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, Differentiable.clm_comp, Meromorphic.fun_inv, Padic.withValUniformEquiv_norm_le_one_iff, ApproximatesLinearOn.lipschitz, summableLocallyUniformlyOn_iteratedDerivWithin_cexp, tendsto_cobounded_iff_meromorphicOrderAt_neg, HasDerivWithinAt.eventually_ne, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, lp.inner_eq_tsum, 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, 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, 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, hasFDerivAt_integral_of_dominated_loc_of_lip_interval, HasDerivWithinAt.fun_div, RCLike.conjCLE_norm, HasFPowerSeriesOnBall.add, HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, mdifferentiableAt_iff_localFrame_coeff, IsCovariantDerivativeOn.difference_apply, OpenPartialHomeomorph.hasDerivAt_symm, SchwartzMap.seminorm_le_bound, Bornology.isVonNBounded_add_self, WeakDual.isClosed_image_polar_of_mem_nhds, ContinuousLinearMap.integral_apply, one_add_cpow_hasFPowerSeriesAt_zero, RCLike.algebraMap_eq_ofReal, HasDerivAt.fun_finset_prod, circleIntegrable_iff, LinearMap.polar_eq_iInter, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, MeasureTheory.MemLp.const_inner, DirichletCharacter.continuousOn_neg_logDeriv_LFunction_of_nontriv, Complex.tsum_exp_neg_mul_int_sq, not_integrableOn_Ioi_cpow, Real.fderiv_fourierChar_neg_bilinear_right_apply, ContMDiffCovariantDerivativeOn.affine_combination, UpperHalfPlane.analyticAt_smul, WithSeminorms.mem_nhds_iff, BoundedContinuousFunction.char_neg, UpperHalfPlane.isOpenEmbedding_coe, Real.fourier_continuousLinearMap_apply, Unitization.real_cfcₙ_eq_cfc_inr, ContDiffAt.fderiv_right_succ, flip_innerSL_real, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, HasFDerivWithinAt.clm_apply, hasFPowerSeriesOnBall_pi_iff, Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eq, deriv_cpow_const, UpperHalfPlane.deriv_smul, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, continuousOn_dslope, ContDiffMapSupportedIn.structureMapCLM_apply, iteratedFDerivWithin_succ_eq_comp_right, Complex.uniformlyContinuous_im, eventually_enorm_mfderivWithin_symm_extChartAt_lt, HasFPowerSeriesWithinAt.const_smul, Module.Dual.extendRCLikeₗ_symm_apply, BoundedContinuousFunction.char_zero_eq_one, SchwartzMap.lineDerivOp_fourier_eq, isClosedEmbedding_cfcₙAux, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, LeftInvariantDerivation.coe_derivation, innerSL_apply_apply, RCLike.norm_expect_le, HasGradientAt.continuousOn, fderiv_multiset_prod, HasFPowerSeriesWithinOnBall.restrictScalars, NormedSpace.isVonNBounded_iff, SeminormFamily.filter_eq_iInf, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, inner_sum, HasFTaylorSeriesUpTo.hasFDerivAt, Function.Periodic.cuspFunction_zero_eq_limUnder_nhds_ne, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, norm_iteratedFDerivWithin_clm_apply, UpperHalfPlane.comp_ofComplex_of_im_pos, hasDerivAt_neg', ContMDiffWithinAt.mfderivWithin_const, Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContMDiffOn.clm_postcomp, 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, HasFDerivAt.fun_mul, Seminorm.bddAbove_range_iff, Complex.continuousOn_arg, dist_iteratedFDerivWithin_one, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, NormedSpace.image_isVonNBounded_iff, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, 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, 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, MultilinearMap.mkContinuousMultilinear_apply, SchwartzMap.instContinuousSMul, deriv_csinh, Complex.UnitDisc.instSMulCommClass_closedBall_circle, HasFDerivWithinAt.complexOfReal, StrongDual.norm_extendRCLike_bound, TemperedDistribution.lineDerivOp_fourier_eq, Complex.frontier_setOf_re_le, PadicInt.norm_mahlerTerm, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, HasProdUniformlyOn_sineTerm_prod_on_compact, Seminorm.smul_inf, Submodule.Quotient.instIsBoundedSMul, 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, MulAlgebraNorm.extends_norm', HasDerivAt.comp_ofReal, mdifferentiableOn_symm_coordChangeL, DifferentiableAt.csinh, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, StarAlgebra.elemental.characterSpaceToSpectrum_coe, Bornology.IsBounded.reProdIm, Circle.ofConjDivSelf_coe, OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, NumberField.mixedEmbedding.mem_idealLattice, fderiv_clm_comp, MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNE, 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, IsConformalMap.is_complex_or_conj_linear, fderiv_continuousAlternatingMap_apply_const, ContinuousLinearMap.nhds_zero_eq_of_basis, HasGradientAt.hasDerivAt', AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, AffineMap.hasDerivWithinAt, MeromorphicOn.divisor_const, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, ContDiffMapSupportedIn.seminorm_fderivLM_le, instSMulCommClass_sphere_sphere_sphere, Bundle.RiemannianMetric.isVonNBounded, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, ContDiffMapSupportedIn.seminorm_fderivLM_top, HasStrictDerivAt.of_local_left_inverse, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, Complex.convexHull_reProdIm, NormedSpace.toIsBoundedSMul, Complex.logDeriv_tendsto, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Complex.hasStrictDerivAt_tan, Circle.starRingEnd_addChar, ContDiff.continuous_deriv_one, curveIntegralFun_smul, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, Complex.closure_preimage_im, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, GeneralSchauderBasis.proj_apply, ContinuousLinearEquiv.toCompactConvergenceCLM_apply, mul_comm, RCLike.re_add_im_ax, ContinuousAlternatingMap.piLIE_apply_apply, Differentiable.fderiv_norm_rpow, NumberField.InfiniteAdeleRing.algebraMap_apply, UnitAddTorus.mFourierSubalgebra_coe, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, iteratedDerivWithin_tsum_cexp_eq, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, Complex.continuousWithinAt_log_of_re_neg_of_im_zero, UpperHalfPlane.σ_sq, MeasureTheory.integral_const_mul, Complex.continuous_sin, FormalMultilinearSeries.hasSum_of_finite, hasDerivAtFilter_ofNat, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, Seminorm.continuous', Complex.exp_eq_exp_ℂ, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, TensorProduct.toLinearEquiv_lidIsometry, HasStrictDerivAt.cpow, HasFPowerSeriesOnBall.restrictScalars, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, ContinuousLinearMap.isometry_mul_flip, PeriodPair.weierstrassP_coe, AnalyticOnNhd.eval_linearMap', inner_gradientWithin_right, fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, ClosedSubmodule.inf_orthogonal, 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, ModularForm.prod_slash, hasStrictFDerivAt_exp_smul_const_of_mem_ball', 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, CStarModule.innerSL_apply, monomial_has_deriv_aux, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, continuous_equivFun_basis, DirichletCharacter.LSeries_twist_vonMangoldt_eq, LinearIsometryEquiv.conjStarAlgEquiv_apply, Bundle.ContinuousLinearMap.vectorBundle, HasDerivWithinAt.sub, PadicInt.mahlerTerm_apply, DifferentiableAt.clog, DifferentiableAt.zpow, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.integral_div, MeasureTheory.ConvolutionExistsAt.integrable, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, MeasureTheory.MemLp.prod, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, Filter.tendsto_ofReal_iff', iter_deriv_zpow', PadicInt.coe_sum, Complex.deriv_cos, WithSeminorms.continuousSMul, Matrix.exp_conj', 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, IsUltrametricDist.of_normedAlgebra', Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzCone, 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, Complex.conjCAE_apply, uniformCauchySeqOnFilter_of_deriv, IsLocalFrameOn.coeff_apply_of_mem, OpenPartialHomeomorph.contDiffAt_symm_deriv, ModularForm.discriminant_bounded_factor, HasFDerivAt.finset_prod, SchwartzMap.fderivCLM_apply, hasStrictDerivAt_abs_pos, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, ContinuousLinearMap.norm_extendTo𝕜, Bundle.Trivialization.localFrame_coeff_congr, Matrix.exp_neg, Meromorphic.finsum, Manifold.IsImmersionAtOfComplement.ofOpen, HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, Complex.differentiableOn_sqrt, continuous_const_cpow, AlgebraNorm.extends_norm, ContinuousLinearMap.hasBasis_nhds_zero, polynomialFunctions.starClosure_topologicalClosure, Bornology.IsVonNBounded.of_add_right, 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, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, hasDerivWithinAt_pi, differentiableOn_iteratedDerivWithin_cotTerm, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, NormedSpace.isVonNBounded_ball, HasFDerivWithinAt.csin, MeromorphicAt.eq_nhdsNE_toMeromorphicNFAt, ContinuousLinearMap.eq_adjoint_iff, PeriodPair.hasSum_derivWeierstrassPExcept, ContDiffAt.fderiv_succ, rotation_apply, toMatrix_rotation, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, convexHull_union_neg_eq_absConvexHull, RCLike.smul_re, Polynomial.div_tendsto_zero_iff_degree_lt, Differentiable.zpow, derivWithin.scomp, Complex.differentiableWithinAt_sqrt, MeasureTheory.continuous_charFun, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, Complex.differentiableAt_GammaAux, HasFDerivAt.continuousMultilinear_apply_const, HasFDerivWithinAt.continuousAlternatingMap_apply, ContinuousLinearMap.IsPositive.smul_of_nonneg, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, EuclideanSpace.nndist_eq, LinearMap.polar_singleton, FormalMultilinearSeries.sum_of_finite, MeromorphicOn.divisor_pow, ModularForm.prod_slash_sum_weights, MeasureTheory.convolution_tendsto_right, gelfandStarTransform_apply_apply, HasFTaylorSeriesUpToOn.zero_eq', SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, Complex.instPathConnectedSpaceUnits, Multipliable.norm, ContDiff.continuous_deriv, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, WithSeminorms.withSeminorms_eq, HasDerivAt.continuousOn, ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, contMDiffOn_localFrame_coeff, ContDiffMapSupportedIn.monoLM_apply, HasDerivWithinAt.Iic_of_Iio, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, cfcₙ_integral, DoubleCentralizer.nnnorm_snd, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, Complex.continuousOn_cos, OrthonormalBasis.measurePreserving_repr, HasDerivAt.eventually_ne, ZMod.completedLFunction_def_even, HasDerivWithinAt.clm_apply, ContinuousMultilinearMap.norm_mkPiAlgebra_le, 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, HasDerivAtFilter.add, Real.hasDerivAt_arcosh, Complex.tendsto_mul_log_one_add_of_tendsto, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, cfcₙ_setIntegral, Complex.isOpen_slitPlane, HasGradientAt.continuousAt, VectorBundleCore.contMDiffOn_coordChange, FormalMultilinearSeries.radius_le_smul, DirichletCharacter.deriv_LFunction_eq_deriv_LSeries, MeasureTheory.SignedMeasure.toComplexMeasure_apply, MDifferentiable.clm_postcomp, ModularForm.tsum_logDeriv_eta_q, EisensteinSeries.summable_left_one_div_linear_sub_one_div_linear, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, CStarMatrix.toCLM_injective, enorm_fderiv_norm_rpow_le, ContinuousLinearMap.isPositive_self_comp_adjoint, dslope_eventuallyEq_slope_nhdsNE, HasDerivAt.cpow, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, hasDerivAt_iff_isLittleO, DifferentiableAt.fun_finset_prod, spectrum.isOpen_resolventSet, HasDerivAt.arctan, Polynomial.toAddCircle_X_pow_eq_fourier, Unitization.sqrt_inr, HasDerivWithinAt.hasFDerivWithinAt, contMDiffOn_baseSet_iff_localFrame_coeff, HasDerivAt.sqrt, hasFPowerSeriesAt_const, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, fderiv_eq_deriv_mul, UniformOnFun.continuousSMul_induced_of_image_bounded, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, MeromorphicOn.extract_zeros_poles_log, HasFPowerSeriesWithinOnBall.fderivWithin, PadicAlgCl.isUltrametricDist, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, FormalMultilinearSeries.radius_compNeg, SeminormFamily.comp_apply, gelfandTransform_bijective, Polynomial.differentiableOn_aeval, SchwartzMap.integral_bilin_fourierIntegral_eq, Bundle.Trivialization.localFrame_coeff_eq_coeff, Unitization.uniformContinuous_fst, 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, Matrix.toEuclideanLin_apply, Bornology.IsVonNBounded.image_multilinear', HasDerivAt.congr_of_eventuallyEq, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, NormedField.discreteTopology_or_nontriviallyNormedField, WithSeminorms.tendsto_nhds', HasFDerivWithinAt.multiset_prod, Complex.tendsto_exp_nhds_zero_iff, fourier_norm, ContinuousLinearMap.opNorm_mul, AlgebraNormClass.map_smul_eq_mul, Complex.uniformContinuous_im, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, Complex.frontier_preimage_re, CuspForm.coe_trace, EisensteinSeries.e2Summand_summable, 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, Real.hasStrictDerivAt_arccos, AnalyticAt.frequently_zero_iff_eventually_zero, RCLike.conjCLE_apply, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, HasFTaylorSeriesUpTo.fderiv_eq, Complex.cexp_tsum_eq_tprod, MeasureTheory.dominatedFinMeasAdditive_condExpInd, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', Function.Periodic.differentiableAt_cuspFunction, Unitization.nnnorm_def, UpperHalfPlane.coe_pos_real_smul, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, TestFunction.fderivCLM_ofSupportedIn, Complex.instContinuousStar, summable_finset_prod_of_summable_norm, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, NumberField.mixedEmbedding.negAt_preimage, HasLineDerivAt.tendsto_slope_zero_right, isScalarTower_sphere_closedBall_closedBall, Balanced.convexHull, Complex.hasDerivAt_GammaIntegral, fderiv_continuousAlternatingMapCompContinuousLinearMap, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, MeromorphicOn.divisor_natCast, RCLike.wInner_cWeight_eq_expect, Complex.deriv_ofReal_cpow_const, UpperHalfPlane.comp_ofComplex, Complex.starConvex_ofReal_slitPlane, PiTensorProduct.mapL_smul, Complex.analyticOnNhd_univ_iff_differentiable, SchwartzMap.integral_sesq_fourier_eq, NumberField.mixedEmbedding.fundamentalCone.volume_frontier_normLeOne, Complex.continuousAt_sqrt, Real.fderiv_fourier, ApproximatesLinearOn.norm_fderiv_sub_le, ContinuousLinearMap.adjointAux_norm, MeasureTheory.L1.setToL1_smul_left, RCLike.toIsStrictOrderedModule, CStarMatrix.norm_def', NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, HurwitzZeta.hasSum_nat_sinZeta, DifferentiableAt.fun_div, MDifferentiable.clm_bundle_apply₂, ValueDistribution.logCounting_top, Quaternion.linearIsometryEquivTuple_symm_apply, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, meromorphicOrderAt_ne_top_iff, ContDiffAt.inv, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, ContinuousAlternatingMap.instContinuousSMul, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, HasFDerivAt.restrictScalars, balancedHull_subset_convexHull_union_neg, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, Complex.taylorSeries_eq_on_ball', Complex.UnitDisc.coe_smul_circle, DifferentiableOn.const_cpow, PiTensorProduct.projectiveSeminorm_apply, Complex.summable_conj, UpperHalfPlane.denom_cocycle_σ, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, HasGradientWithinAt.continuousWithinAt, Complex.continuousAt_arg, PeriodPair.latticeBasis_zero, ZMod.LFunction_def_odd, summable_mul_of_bigO_atTop, Meromorphic.prod, SchwartzMap.fourier_lineDerivOp_eq, Complex.starConvex_one_slitPlane, LinearMap.toContinuousBilinearMap_apply, ContinuousLinearMapWOT.inducingFn_apply, TemperedDistribution.instLineDerivLeftSMulReal, meromorphicOrderAt_eq_top_iff, norm_iteratedFDerivWithin_clm_apply_const, ModularForm.discriminant_isZeroAtImInfty, RCLike.iInter_countable_halfSpaces_eq, CStarMatrix.inner_toCLM_conjTranspose_left, hasStrictDerivAt_exp_smul_const, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Filter.EventuallyEq.ftaylorSeries, isBoundedBilinearMap_comp, Complex.interior_setOf_le_re, 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, Finsupp.sum_inner, TemperedDistribution.fourierInv_lineDerivOp_eq, UpperHalfPlane.mdifferentiable_inv_denom, multipliable_one_add_of_summable, LeftInvariantDerivation.lift_smul, 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, hasStrictDerivAt_exp_smul_const', HasStrictDerivAt.map_nhds_eq, Complex.hasStrictFDerivAt_cpow', NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closure, Real.fourier_iteratedFDeriv, Differentiable.ccos, HasDerivAt.add, SchwartzMap.smulLeftCLM_real_smul, InnerProductSpace.toDualMap_apply_apply, Differentiable.cexp, HasMFDerivAt.smul, Orientation.kahler_eq_zero_iff, AddChar.sum_apply_eq_ite, EulerProduct.eulerProduct_completely_multiplicative, PositiveLinearMap.preGNS_norm_def, contDiff_succ_iff_fderiv, HasStrictDerivAt.div, ContinuousLinearMap.opNNNorm_prod, UpperHalfPlane.dist_eq_iff_eq_sinh, MDifferentiableAt.clm_prodMap, hasDerivAtFilter_zero, Complex.integral_comp_polarCoord_symm, Seminorm.map_eq_zero_of_norm_zero, Complex.uniformContinuous_re, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, PeriodPair.ω₂_div_two_notMem_lattice, derivWithin_zpow, Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, 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, isModuleTopologyOfFiniteDimensional, PeriodPair.hasSum_derivWeierstrassP, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, ContinuousAt.of_dslope, PeriodPair.compl_lattice_diff_singleton_mem_nhds, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, DifferentiableAt.const_cpow, 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, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, iteratedFDeriv_comp_const_smul, HasStrictDerivAt.arctan, MeasureTheory.MemLp.inner_const, HasStrictDerivAt.mul, LSeries_deriv_eqOn, ContDiffOn.continuousOn_iteratedDerivWithin, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, 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, fderivWithin_finset_prod, NumberField.tendsto_sub_one_mul_dedekindZeta_nhdsGT, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, IsOpen.reProdIm, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, RegularNormedAlgebra.isometry_mul', Complex.frontier_setOf_im_lt, cauchyPowerSeries_apply, summable_eisSummand, ContDiffWithinAt.hasFDerivWithinAt_nhds, WithAbs.instUniformContinuousConstSMulReal, HasStrictDerivAt.real_of_complex, ModularFormClass.continuous, Matrix.PosSemidef.det_sqrt, Orientation.rotation_map_complex, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, 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, HasDerivAt.differentiableAt, TestFunction.limitCLM_apply, Complex.isConnected_of_lowerHalfPlane, hasDerivWithinAt_abs, hasFPowerSeriesOnBall_const, tendsto_cobounded_of_meromorphicOrderAt_neg, HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, TensorProduct.lidIsometry_apply, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, MeasureTheory.StronglyMeasurable.inner, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, HasDerivWithinAt.csinh, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, DifferentiableAt.star_conj, Complex.tendsto_exp_comap_re_atTop, convex_halfSpace_re_le, Complex.reCLM_coe, VectorFourier.hasFDerivAt_fourierIntegral, PadicInt.fwdDiff_tendsto_zero, Complex.deriv_Gamma_add_one, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux', Seminorm.ball_norm_mul_subset, EuclideanSpace.dist_single_same, EulerProduct.eulerProduct_hasProd, Complex.continuous_re, Module.Basis.coe_toOrthonormalBasis_repr, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, hasFDerivAt_ringInverse, HasFDerivAt.continuousAlternatingMap_apply, 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, UpperHalfPlane.contMDiff_coe, PadicInt.compactSpace, InformationTheory.hasDerivAt_klFun, UnconditionalSchauderBasis.enorm_proj_le_enormProjBound, CuspForm.holo', InnerProductSpace.nnnorm_rankOne, contDiffOn_one_iff_derivWithin, PeriodPair.mem_lattice, BoundedContinuousFunction.mem_charPoly, spectrum.gelfandTransform_eq, Orientation.kahler_comp_rightAngleRotation, EisensteinSeries.tsum_symmetricIco_linear_sub_linear_add_one_eq_zero, BoundedContinuousFunction.charAlgHom_apply, LeftInvariantDerivation.comp_L, HasDerivAt.fun_pow, ArithmeticFunction.vonMangoldt.residueClass_apply, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, ContinuousAt.cexp, Matrix.PosSemidef.trace_eq_zero_iff, HasGradientWithinAt.differentiableWithinAt, LinearMap.trace_eq_sum_inner, ContinuousAlternatingMap.curryLeft_apply_apply, NormedSpace.isVonNBounded_closedBall, MeasureTheory.memLp_haarAddCircle_iff, ContinuousLinearMap.flip_smul, MeromorphicOn.divisor_inv, HasDerivAtFilter.mono, PadicInt.mahlerSeries_apply, ContDiffAt.div_const, Circle.arg_eq_arg, HasDerivWithinAt.fun_pow', PeriodPair.analyticOnNhd_derivWeierstrassPExcept, UpperHalfPlane.dist_eq_iff_eq_sq_sinh, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, hasDerivWithinAt_neg, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Complex.differentiableOn_update_limUnder_of_bddAbove, NumberField.mixedEmbedding.convexBodySum_compact, MeromorphicOn.divisor_fun_pow, Bundle.ContinuousRiemannianMetric.continuous, hasSum_mellin, Matrix.IsHermitian.charpoly_cfc_eq, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, MeasureTheory.ConvolutionExistsAt.integrable_swap, 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, contDiffOn_prod', HasDerivWithinAt.eventually_notMem, IsLocalFrameOn.coeff_congr, ContMDiffCovariantDerivativeOn.finite_affine_combination, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, FiniteDimensional.rclike_to_real, Complex.comap_exp_nhds_zero, EisensteinSeries.G2_eq_tsum_symmetricIco, Complex.equivRealProdCLM_symm_apply, Seminorm.convexOn, Complex.cos_eq_tsum', ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, 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, Complex.continuous_cosh, MeromorphicOn.divisor_fun_prod, fourier_one, GeneralSchauderBasis.expansion, Polynomial.ofReal_eval, HasFPowerSeriesOnBall.fderiv_eq, Seminorm.coe_restrictScalars, HasSum.cexp, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, IsCovariantDerivativeOn.smul_const, NumberField.mixedEmbedding.fundamentalCone.subset_interior_normLeOne, ContinuousLinearMap.flip_mul, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, NumberField.canonicalEmbedding.integerLattice.inter_ball_finite, SchwartzMap.smulLeftCLM_sum, PiTensorProduct.projectiveSeminorm_tprod_le, UpperHalfPlane.σ_mul, PadicInt.continuous_choose, AffineMap.hasDerivWithinAt_lineMap, PeriodPair.basis_zero, DifferentiableWithinAt.const_cpow, UpperHalfPlane.image_coe_ball, ContinuousAffineMap.decompLinearIsometryEquiv_symm_apply, ContinuousLinearMap.fderiv_of_bilinear, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Complex.closure_setOf_lt_im, Real.Angle.coe_toCircle, Real.hasDerivWithinAt_arccos_Ici, cfcₙHom_integral, Seminorm.gaugeSeminorm_ball, Rat.HeightOneSpectrum.adicCompletion.padicEquiv_bijOn, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, iteratedFDerivWithin_succ_apply_right, ContinuousAlternatingMap.alternatizeUncurryFin_smul, contDiffAt_map_inverse, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, EulerProduct.eulerProduct, Complex.hasDerivAt_Gammaℝ_one, SchwartzMap.toBoundedContinuousFunctionCLM_apply, hasSum_jacobiTheta₂_term, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, 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, ContinuousAlternatingMap.norm_restrictScalars, Real.fourierIntegral_continuousLinearMap_apply, OrthonormalBasis.coe_ofRepr, LSeries_deriv, HasDerivWithinAt.const_cpow, Submodule.adjoint_subtypeL, MeasureTheory.convolutionExistsAt_flip, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, hasStrictFDerivAt_exp, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, HasDerivAtFilter.sub, AbsoluteValue.Completion.locallyCompactSpace, AnalyticOn.fderivWithin, MeasureTheory.MemLp.memLp_liftIoc, UpperHalfPlane.contMDiff_inv_denom, ContinuousLinearMap.opNorm_mul_apply, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, NormedSpace.inclusionInDoubleDualWeak_apply_apply, RCLike.conjLIE_apply, deriv_fun_div, Complex.uniformlyContinuous_re, WithAbs.tendsto_one_div_one_add_pow_nhds_one, PadicInt.coe_addChar_of_value_at_one, Complex.map_exp_comap_re_atTop, RCLike.summable_ofReal, Complex.orthonormalBasisOneI_repr_apply, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, ContinuousMapZero.integral_apply, PadicInt.mahlerSeries_apply_nat, ContDiffAt.fderiv_right, Complex.differentiable_exp, MeasureTheory.convolution_def, ContMDiffFiberwiseLinear.locality_aux₂, ContinuousMultilinearMap.curryLeft_norm, Complex.UnitDisc.isEmbedding_coe, HurwitzZeta.hasSum_nat_completedCosZeta, HasDerivAt.hasFDerivAt, tendsto_sub_mul_tsum_nat_cpow, 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, ContinuousLinearMap.continuous_restrictScalars, hasStrictDerivAt_const_add_iff, Summable_cotTerm, isBoundedBilinearMap_compMultilinear, norm_cauchyPowerSeries_le, sum_mul_eq_sub_integral_mul', Finset.analyticWithinAt_fun_prod, contDiffWithinAt_prod', HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, HasFPowerSeriesOnBall.uniform_geometric_approx, summable_jacobiTheta₂_term_fderiv_iff, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, MeromorphicOn.divisor_sub_const_self, Unitization.cobounded_eq_aux, HasDerivAtFilter.const_smul, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, sum_inner, Polynomial.div_tendsto_atBot_zero_of_degree_lt, HurwitzZeta.hasSum_nat_hurwitzZetaEven, HasFPowerSeriesWithinAt.fderivWithin_eq, ContDiffBump.convolution_tendsto_right, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, continuousWithinAt_dslope_of_ne, HurwitzZeta.hasSum_int_cosKernel, inCoordinates_apply_eq₂, ZMod.completedLFunction_def_odd, 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, contDiffOn_infty_iff_fderivWithin, ContinuousMultilinearMap.range_toUniformOnFun, contDiffOn_prod, 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, DifferentiableWithinAt.hasDerivWithinAt, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, PeriodPair.isClosed_lattice, BoundedContinuousFunction.innerProbChar_zero, FormalMultilinearSeries.coeff_eq_zero, Complex.tendsto_normSq_cocompact_atTop, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIdealLattice, RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, Real.hasFDerivAt_fourier, HasDerivWithinAt.mul, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, DifferentiableOn.ccos, HasDerivAt.log, LeftInvariantDerivation.evalAt_coe, Matrix.IsHermitian.trace_eq_sum_eigenvalues, fderiv_inverse, DifferentiableAt.ccosh, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, HasFPowerSeriesOnBall.fderiv, convex_halfSpace_im_gt, ContMDiffOn.clm_precomp, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, ContinuousMultilinearMap.restrictScalarsLinear_apply, contDiffOn_nat_iff_continuousOn_differentiableOn, EisensteinSeries.tendsto_zero_inv_linear_sub, GaussianFourier.integrable_cexp_neg_mul_sum_add, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, Complex.continuousOn_sin, Complex.hasStrictFDerivAt_cpow, 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, fderiv_pow, InnerProductSpace.rankOne_eq_zero, Polynomial.differentiable_aeval, Complex.polarCoord_apply, HasDerivAt.csinh, fderivWithin_continuousMultilinear_apply_const_apply, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, Seminorm.continuous, Convex.toWeakSpace_closure, Complex.differentiable_iteratedDeriv_sin, AddChar.expect_apply_eq_zero_iff_ne_zero, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, 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, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, HasDerivWithinAt.sqrt, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, mdifferentiableAt_hom_bundle, UnitAddTorus.mFourier_add, Bornology.isVonNBounded_sub_of_nonempty, Real.hasDerivAt_qaryEntropy, Finset.analyticWithinAt_prod, innerSL_inj, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, continuousAt_dslope_same, PositiveLinearMap.preGNS_inner_def, WithSeminorms.isVonNBounded_iff_seminorm_bddAbove, fderivWithin_inv', hasDerivAt_add_const_iff, hasDerivWithinAt_pow, hasDerivWithinAt_iff_hasFDerivWithinAt, UpperHalfPlane.cosh_dist, LSeries_eq_mul_integral_of_nonneg, differentiableAt_star_conj_iff, UpperHalfPlane.image_coe_closedBall, HasFDerivWithinAt.cpow, PeriodPair.periodic_derivWeierstrassP, EisensteinSeries.summable_linear_left_mul_linear_left, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, HasFPowerSeriesOnBall.compContinuousLinearMap, 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, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbedding, Matrix.piLp_ofLp_toEuclideanLin, cfcₙAux_id, riemannZeta_eulerProduct_exp_log, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, NormedSpace.inclusionInDoubleDual_norm_le, AnalyticOnNhd.eval_linearMap, UniformConvergenceCLM.continuousSMul, RCLike.rank_le_two, hasDerivWithinAt_one, IsSelfAdjoint.isConnected_spectrum_compl, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, WeakDual.isCompact_closedBall, ContinuousOn.of_dslope, PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm, ConvexOn.sSup_of_countable_affine_eq, TestFunction.coe_ofSupportedInCLM, RCLike.reCLM_coe, ContDiffBump.normed_convolution_eq_right, continuousSMul_closedBall_ball, UpperHalfPlane.dist_coe_center, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply', HasLineDerivAt.tendsto_slope_zero, HasStrictDerivAt.to_local_left_inverse, Complex.tendsto_arg_nhdsWithin_im_nonneg_of_re_neg_of_im_zero, HasDerivWithinAt.inner, EisensteinSeries.tendsto_e2Summand_atTop_nhds_zero, ContinuousLinearMap.derivWithin, DifferentiableAt.inner, MeromorphicOn.isClopen_setOf_meromorphicOrderAt_eq_top, Complex.derivWithin_sqrt, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, HarmonicAt.differentiableAt_complex_partial, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, 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, Seminorm.comp_smul, HasFDerivWithinAt.mul_const, 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, ContMDiffAt.mfderiv_const, smoothSheafCommRing.isUnit_stalk_iff, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, UpperHalfPlane.ofComplex_apply_of_im_pos, hasDerivAt_ofNat, SchwartzMap.postcompCLM_apply, iteratedFDerivWithin_eq_equiv_comp, RCLike.isUniformEmbedding_ofReal, EuclideanSpace.coe_proj, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, Orthonormal.inner_left_right_finset, AlternatingMap.mkContinuousAlternating_norm_le, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, differentiableAt_inv_iff, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, SchwartzMap.norm_iteratedFDeriv_le_seminorm, TemperedDistribution.fourierMultiplierCLM_fourierMultiplierCLM_apply, HasStrictDerivAt.exp, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, Finsupp.inner_sum, LinearMap.deriv, SchwartzMap.seminorm_le_bound', contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, PadicInt.coe_adicCompletionIntegersEquiv_symm_apply, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, zeta_eq_tsum_one_div_nat_cpow, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, Bornology.IsVonNBounded.restrict_scalars_of_nontrivial, continuousAt_cpow, InnerProductSpace.toDualMap_apply, gelfandTransform_map_star, Bundle.Pretrivialization.continuousLinearMap.isLinear, TotallyBounded.isVonNBounded, UpperHalfPlane.hasStrictDerivAt_smul, NumberField.mixedEmbedding.convexBodySumFun_smul, Complex.interior_preimage_im, HasDerivAt.cosh, DifferentiableAt.conj_conj, 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, isQuotientCoveringMap_npow, Bornology.IsVonNBounded.image_multilinear, EulerProduct.eulerProduct_tprod, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, ContDiffMapSupportedIn.seminorm_monoLM_le, Complex.comap_exp_nhdsNE, Polynomial.derivWithin, ContinuousLinearMap.isBoundedBilinearMap, deriv_ccosh, fdifferential_apply, ContinuousMultilinearMap.hasBasis_nhds_zero, ball_normSeminorm, HasFPowerSeriesWithinOnBall.sum, Real.hasStrictDerivAt_arcosh, 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, 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, totallyBounded_absConvexHull, ProperSpace.of_nontriviallyNormedField_of_weaklyLocallyCompactSpace, NumberField.mixedEmbedding.polarCoord_symm_apply, NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsReal_coe, fderivWithin_ccos, Complex.deriv_Gamma_nat, Matrix.isSymmetric_toEuclideanLin_iff, MDifferentiableOn.coordChangeL, PeriodPair.weierstrassPExcept_eq_tsum, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, ContinuousAlternatingMap.ofSubsingletonLIE_apply, HasStrictFDerivAt.clog, Asymptotics.IsLittleO.multisetProd, MeromorphicOn.fun_pow, FormalMultilinearSeries.compAlongComposition_bound, continuousMultilinearCurryRightEquiv_symm_apply, OrthonormalBasis.equiv_apply, TemperedDistribution.fourierMultiplierCLM_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, SchwartzMap.lineDeriv_eq_fourierMultiplierCLM, UpperHalfPlane.lt_dist_iff_lt_dist_coe_center, Seminorm.bound_of_continuous, HasStrictDerivAt.smul, fderiv_pow_ring, Complex.continuous_sinh, constFormalMultilinearSeries_apply_zero, Padic.instCompleteSpace, hasDerivAt_tsum, DifferentiableAt.fderiv_restrictScalars, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, MeromorphicOn.div, LinearIsometryEquiv.conjStarAlgEquiv_trans, Complex.UnitDisc.coe_closedBall_smul, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, HasDerivWithinAt.complexToReal_fderiv, Real.tsum_eq_tsum_fourier_of_rpow_decay_of_summable, ContinuousLinearMap.bilinearComp_zero_right, Circle.ext_iff, AlgebraNorm.smul', 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, 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, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, MDifferentiableOn.clm_prodMap, contMDiffAt_coordChangeL, DifferentiableOn.div_const, InnerProductSpace.toDual_apply_apply, Complex.continuousOn_norm_circleTransformBoundingFunction, Complex.continuousAt_Gamma_one, intervalIntegral.intervalIntegrable_cpow, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, Real.hasDerivAt_arcsin, coe_lpBCFₗᵢ, ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, PeriodPair.differentiableOn_derivWeierstrassP, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, PeriodPair.weierstrassPExcept_def, VonNeumannAlgebra.coe_mk, HasDerivAt.csin, 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, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, LDL.lower_conj_diag, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', HurwitzZeta.hasSum_int_cosZeta, hasFDerivAt_integral_of_dominated_loc_of_lip', SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInf, RKHS.kerFun_dense, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, InnerProductSpace.rankOne_def, MDifferentiableWithinAt.coordChangeL, HasDerivAt.smul_const, HasDerivAtFilter.sub_const, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, 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, 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, NumberField.mixedEmbedding.mem_span_latticeBasis, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_Gammaℝ, hasDerivAt_const, Complex.tendsto_norm_tan_atTop, iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, NormedAlgebra.norm_eq_spectralNorm, BoundedContinuousFunction.innerProbChar_apply, 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, MeasureTheory.MemLp.prod', 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, Complex.hasSum_sin, Complex.tendsto_self_mul_Gamma_nhds_zero, SchwartzMap.integral_bilin_fourier_eq, Summable.hasProdUniformlyOn_nat_one_add, Complex.hasStrictDerivAt_const_cpow, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, ContinuousMultilinearMap.prodL_apply, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, HasDerivAt.isBigO_sub, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousOn.clm_bundle_apply₂, EisensteinSeries.hasSum_e2Summand_symmetricIco, ContinuousLinearMap.coe_flipMultilinearEquiv, Seminorm.bddAbove_iff, HasDerivWithinAt.cpow, NonUnitalAlgHom.coe_Lmul, 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'', SchwartzMap.compCLMOfAntilipschitz_apply, MeasureTheory.Integrable.fintype_prod_dep, intervalIntegral.integrableOn_Ioo_cpow_iff, SchwartzMap.fourierInv_apply_eq, Circle.coe_mul, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, LinearIsometryEquiv.conjStarAlgEquiv_refl, UpperHalfPlane.dist_lt_iff_dist_coe_center_lt, Complex.conjCLE_toLinearEquiv, HasDerivAt.tendsto_slope_zero_left, MeasureTheory.setToFun_smul_left, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, contDiff_nat_iff_iteratedDeriv, eventually_singleton_add_smul_subset, LinearMap.IsSymmetric.toSelfAdjoint_apply, hasSum_jacobiTheta₂'_term, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zero, circleMap_notMem_ball, SchwartzMap.toTemperedDistributionCLM_apply_apply, EisensteinSeries.q_expansion_riemannZeta, Seminorm.continuousAt_zero', ContinuousLinearMap.coe_restrict_scalarsL', HasDerivAt.complexToReal_fderiv, ContinuousLinearMapWOT.isInducing_inducingFn, SlashInvariantFormClass.periodic_comp_ofComplex, fderivWithin_fderivWithin_eq_of_eventuallyEq, integrableOn_Ioi_deriv_ofReal_cpow, NormedField.nhdsNE_neBot, EulerProduct.eulerProduct_completely_multiplicative_tprod, Complex.map_exp_comap_re_atBot, 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, RCLike.summable_conj, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, RCLike.geometric_hahn_banach_point_point, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, extDerivWithin_fun_smul, inner_smul_real_right, fourierSubalgebra_separatesPoints, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, ContMDiffOn.clm_comp, ftaylorSeries_fun_zero, SchauderBasis.proj_apply, Complex.isEquivalent_sinh, HasDerivAt.add_const, AnalyticOnNhd.is_constant_or_isOpenMap, hasFDerivAt_exp_smul_const', 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, Matrix.exp_zsmul, Seminorm.uniformSpace_eq_of_hasBasis, HurwitzZeta.hasSum_nat_cosZeta, SchwartzMap.postcompCLM_postcompCLM, ContinuousLinearMapWOT.hasBasis_seminorms, 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, SchwartzMap.smulLeftCLM_const, UpperHalfPlane.contMDiff_num, HasDerivWithinAt.rpow, UpperHalfPlane.mdifferentiable_denom, LinearMap.toMatrix_innerₛₗ_apply, UpperHalfPlane.dist_self_center, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, 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, hasDerivAt_of_tendstoUniformlyOn, MeasureTheory.ComplexMeasure.integrable_rnDeriv, ContinuousAffineMap.decompLinearIsometryEquiv_symm_contLinear, NumberField.mixedEmbedding.negAt_apply_isComplex, isBigO_riemannZeta_sub_one_div, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, Complex.hasFDerivAt_cpow, MDifferentiableOn.prod, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, Complex.differentiableAt_exp, UpperHalfPlane.σ_num, 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, continuous_circleMap, differentiableAt_jacobiTheta₂_fst, ContinuousOn.cpow_const, SchauderBasis.bddAbove_range_nnnorm_proj, AffineMap.differentiableAt, hasStrictDerivAt_finCons', 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, NormedSpace.ofReal_exp_ℝ_ℝ, ContinuousLinearMap.isBoundedLinearMap_comp_right, Matrix.PosSemidef.toLinearMap₂'_zero_iff, convex_halfSpace_im_lt, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, NormedSpace.isVonNBounded_iff', Polynomial.rootSet_derivative_subset_convexHull_rootSet, VonNeumannAlgebra.mem_carrier, WeakDual.isSeqCompact_closedBall, TestFunction.lineDerivCLM_add, hasStrictDerivAt_finCons, Complex.differentiableAt_tan, PiTensorProduct.liftEquiv_apply, HasFDerivAt.cexp, extDerivFun_zero, WeakDual.isBounded_iff_isVonNBounded, HasDerivWithinAt.congr_of_eventuallyEq_of_mem, MeromorphicAt.eventuallyEq_zero_nhdsNE_of_eventuallyEq_zero_codiscreteWithin, HasFDerivAt.ccos, ModularForm.differentiableAt_eta_tprod, has_antideriv_at_fourier_neg, ModularForm.discriminant_eq_q_prod, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, norm_iteratedFDerivWithin_prod_le, HasDerivWithinAt.ccosh, fderivWithin_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul_apply', ContDiffWithinAt.clm_comp, PadicInt.denseRange_natCast, UnitAddTorus.mFourier_norm, toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhds, Matrix.instNonnegSpectrumClass, MultilinearMap.mkContinuousLinear_norm_le, WithSeminorms.uniformEquicontinuous_iff_bddAbove_and_continuous_iSup, WeakDual.exists_countable_separating, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, LSeriesSummable.sum, Function.Periodic.continuous_qParam, ContinuousLinearMap.deriv_of_bilinear, ContDiffWithinAt.inv, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, HasFDerivAt.clog, HurwitzZeta.hasSum_expZeta_of_one_lt_re, innerSLFlip_apply_apply, UniformContinuousOn.cexp, ContinuousLinearMap.nnnorm_holder_apply_apply_le, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, 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, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, Bornology.isVonNBounded_iff_smul_tendsto_zero, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, ConvexOn.sSup_of_nat_affine_eq, PeriodPair.summable_weierstrassPSummand, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, Complex.frontier_preimage_im, 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, AnalyticOnNhd.aeval_mvPolynomial, continuousAt_clog, EisensteinSeries.linear_left_summable, AnalyticOnNhd.preimage_zero_mem_codiscrete, PeriodPair.hasSumLocallyUniformly_weierstrassPExcept, Circle.invOn_arg_exp, contMDiff_smul, MeasureTheory.dist_convolution_le, MeromorphicOn.divisor_ofNat, DoubleCentralizer.nnnorm_fst, UpperHalfPlane.coe_smul, UniformFun.continuousSMul_induced_of_range_bounded, with_gaugeSeminormFamily, ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, Complex.hasDerivAt_cos, HasDerivWithinAt.fun_smul, IsBilinearMap.toContinuousBilinearMap_apply, TestFunction.lineDerivOp_eq_lineDerivCLM, Complex.ofRealCLM_apply, contMDiffOn_continuousLinearMapCoordChange, UpperHalfPlane.ofComplex_apply_eq_of_im_nonpos, 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, ModularForm.logDeriv_one_sub_mul_cexp_comp, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, Seminorm.iSup_apply, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, instSeminormClassAlgebraNormSubtypeAlgebraicClosureMemIntermediateFieldNormalClosure, Module.Basis.equivFunL_apply, WithSeminorms.tendsto_nhds, ContDiff.smulRight, BoundedContinuousFunction.probCharDual_zero, ContinuousMultilinearMap.flipLinear_apply_apply, tendsto_integral_mul_one_add_inv_smul_sq_pow, HasGradientAt.hasFDerivAt, Complex.arg_eq_nhds_of_im_neg, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, WithSeminorms.isOpen_iff_mem_balls, CStarMatrix.toCLM_apply_single, Real.fourier_fderiv, MeromorphicOn.inv_iff, MeasureTheory.AEStronglyMeasurable.inner, FormalMultilinearSeries.comp_id, ContDiffOn.differentiableOn_iteratedDerivWithin, Complex.tendsto_exp_comap_re_atBot, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, 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, ContinuousMultilinearMap.isUniformEmbedding_toUniformOnFun, VectorFourier.integral_sesq_fourierIntegral_eq_neg_flip, HasFDerivWithinAt.norm_sq, tsum_riemannZetaSummand, Complex.restrictScalars_one_smulRight, ContinuousLinearMapWOT.isEmbedding_inducingFn, TendstoLocallyUniformlyOn.deriv, ClosedSubmodule.iInf_orthogonal, LinearMap.tracePositiveLinearMap_apply, 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, StrongDual.dualPairing_separatingLeft, HasFPowerSeriesOnBall.neg, VectorFourier.fderiv_fourierIntegral, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, Real.circleMap.continuous, Seminorm.sSup_empty, hasStrictDerivAt_abs, 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, ZMod.completedLFunction_eq, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, NormedSpace.isVonNBounded_of_isBounded, iteratedFDeriv_eq_equiv_comp, Complex.hasStrictDerivAt_log, LinearMap.toContinuousLinearMap_eq_iff_eq_toLinearMap, sum_mul_eq_sub_integral_mul₀', derivWithin_ccosh, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, AbsoluteValue.IsEquiv.equivWithAbs_image_mem_nhds_zero, Real.hasDerivAt_cos, Matrix.ofLp_toEuclideanCLM, NumberField.mixedEmbedding.convexBodySumFun_continuous, hasFTaylorSeriesUpToOn_succ_nat_iff_right, HasDerivWithinAt.comp_hasDerivAt_of_eq, ContinuousMultilinearMap.uniformContinuous_restrictScalars, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, HasDerivAt.fun_const_smul, HasDerivAt.fun_sub, CStarMatrix.toCLM_apply_eq_sum, HasStrictFDerivAt.restrictScalars, mahler_natCast_eq, deriv_comp, PadicInt.coe_adicCompletionIntegersEquiv_apply, derivWithin_cexp, HasFDerivAt.ccosh, MeromorphicAt.eventually_continuousAt, UpperHalfPlane.dist_eq, Circle.star_addChar, HurwitzZeta.hurwitzZeta_residue_one, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, hasDerivAt_exp_smul_const, RCLike.continuous_re, HasDerivAtFilter.add_const, NormedSpace.algebraMap_exp_comm, HasDerivAt.clog, MDifferentiable.slash, Balanced.closure, exists_dual_vector, 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, LinearMap.isPositive_toContinuousLinearMap_iff, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, Complex.tsum_exp_neg_quadratic, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, DifferentiableWithinAt.fun_div, FormalMultilinearSeries.changeOrigin_eval_of_finite, Seminorm.map_eq_zero_of_norm_eq_zero, fderivWithin_fun_pow, RCLike.sqrt_map, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, iteratedFDerivWithin_two_apply', PadicInt.mahlerTerm_one, HasDerivAt.const_smul, Real.hasDerivWithinAt_arcsin_Ici, HasStrictDerivAt.hasStrictFDerivAt, PeriodPair.derivWeierstrassP_sub_coe, Balanced.interior, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, deriv.scomp, HasStrictDerivAt.add, Matrix.instFiniteElemRealSpectrum, AnalyticAt.analyticOrderAt_eq_natCast, RCLike.smul_im, HasFDerivAt.multiset_prod, Differentiable.cpow, extDerivFun_add, SpectrumRestricts.real_iff, 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, HasFDerivAt.mul_const, RCLike.tendsto_ofReal_cobounded_cobounded, differentiableWithinAt_euclidean, NumberField.mixedEmbedding.volume_preserving_mixedSpaceToRealMixedSpace_symm, unitary.spectrum_subset_circle, 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, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, Polynomial.aeval_conj, HasDerivAt.scomp_hasDerivWithinAt_of_eq, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, MeasureTheory.convolution_mono_right_of_nonneg, VectorField.mlieBracketWithin_smul_left, ContinuousLinearMap.isometry_iff_adjoint_comp_self, continuousMultilinearCurryFin0_apply, Complex.interior_reProdIm, HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven, HasGradientAt.differentiableAt, PiTensorProduct.dualSeminorms_bounded, LinearMap.hasBasis_weakBilin, NormedSpace.exp_sum, FormalMultilinearSeries.radius_neg, 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, GromovHausdorff.ghDist_eq_hausdorffDist, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, HasDerivWithinAt.add, IsSelfAdjoint.conj_adjoint, ContinuousMultilinearMap.curryMidEquiv_apply, complexOfReal_deriv, Complex.closure_preimage_re, Summable.multipliableLocallyUniformlyOn_one_add, deriv_csin, HasStrictFDerivAt.continuousMultilinear_apply_const, hasSum_mellin_pi_mul, ContDiffMapSupportedIn.monoLM_eq_zero, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, DoubleCentralizer.algebraMap_snd, SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf, WeakDual.polar_def, RCLike.wInner_const_left, 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, contDiffAt_inv, iteratedFDerivWithin_succ_apply_left, hasStrictFDerivAt_norm_sq, SchwartzMap.fourier_evalCLM_eq, support_deriv_subset, Bornology.IsVonNBounded.restrict_scalars, LinearMap.adjoint_toSpanSingleton, ContDiff.differentiable_iteratedDeriv, Complex.interior_setOf_im_le, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, ContinuousMultilinearMap.norm_mkPiAlgebra, 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, MeromorphicOn.divisor_zpow, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, contDiffAt_prod, DifferentiableWithinAt.csin, QuasispectrumRestricts.real_iff, ContinuousLinearMap.bilinearComp_apply, derivWithin_pow_field, Summable.multipliableLocallyUniformlyOn_nat_one_add, TemperedDistribution.instLineDerivSMulReal, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, cot_series_rep, SchwartzMap.evalCLM_apply_apply, HasStrictDerivAt.log, Summable.clog_one_sub, upperHemicontinuous_quasispectrum, spectrum.isBounded, ContinuousMultilinearMap.norm_restrictScalars, UpperHalfPlane.ofComplex_apply_eq_ite, Multipliable.norm_tprod, ContMDiffWithinAt.clm_bundle_apply₂, Matrix.posDef_iff_eq_conjTranspose_mul_self, 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, CStarMatrix.toCLM_apply, 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, deriv_cexp, ContinuousLinearMap.ker_self_comp_adjoint, RCLike.hasSum_conj, 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, Summable.hasProdLocallyUniformlyOn_one_add, ContinuousLinearMap.instStarModuleId, Polynomial.hasFDerivAt_aeval, contMDiffAt_hom_bundle, Seminorm.convex_ball, VectorField.mlieBracketWithin_smul_right, NormedField.continuousAt_inv, HasDerivWithinAt.const_mul, ContDiffAt.restrictScalars_iteratedFDeriv, exists_dual_vector'', ContinuousLinearMapWOT.instContinuousSMul, HasFDerivAt.continuousAlternatingMap_apply_const, Summable.multipliableUniformlyOn_one_add, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, Complex.isConnected_of_upperHalfPlane, AnalyticOnNhd.codiscreteWithin_setOf_analyticOrderAt_eq_zero_or_top, norm_fderiv_iteratedFDeriv, Complex.differentiable_sin, Module.Dual.extendRCLikeₗ_apply, Complex.abel_aux, UpperHalfPlane.dist_eq_iff_dist_coe_center_eq, TestFunction.lineDerivCLM_eq_fderivCLM, Complex.continuous_normSq, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, HasDerivWithinAt.div, PeriodPair.weierstrassP_add_coe, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, HasDerivWithinAt.arctan, TemperedDistribution.fourier_lineDerivOp_eq, DifferentiableWithinAt.cpow_const, Matrix.l2_opNNNorm_def, MeromorphicOn.inv, hasDerivAtFilter_sub_const_iff, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.adjointAux_adjointAux, mdifferentiableOn_baseSet_localFrame_coeff, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, HasStrictDerivAt.const_add, Complex.conjCLE_coe_toLinearMap, LinearMap.polar_gc, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, 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, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, DirichletCharacter.differentiable_LFunction, WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, NumberField.mixedEmbedding.norm_smul, Real.hasStrictDerivAt_arsinh, circleMap_preimage_codiscrete, PositiveLinearMap.gnsStarAlgHom_apply, iter_deriv_pow', cfc_integral, MeasureTheory.AEStronglyMeasurable.const_inner, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, NormedAlgebra.toMulAlgebraNorm_apply, hasDerivAt_iff_tendsto_slope_zero, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, Complex.lintegral_comp_polarCoord_symm, EuclideanSpace.basisFun_repr, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, zero_cpow_eq_nhds, 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, ArithmeticFunction.IsMultiplicative.eulerProduct, ContinuousAlternatingMap.hasBasis_nhds_zero, AnalyticAt.eventually_constant_or_nhds_le_map_nhds_aux, Bornology.isBounded_iff_isVonNBounded, circleMap_mem_closedBall, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, deriv_neg'', ContinuousLinearMap.isSelfAdjoint_iff', HasFDerivWithinAt.restrictScalars, UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, RCLike.continuous_ofReal, HasDerivWithinAt.clog, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, IsLocalFrameOn.coeff_apply_of_notMem, MeasureTheory.condExpL2_indicator_eq_toSpanSingleton_comp, Seminorm.coe_sSup_eq', GromovHausdorff.eq_toGHSpace, ContinuousMultilinearMap.uncurryRight_apply, HasDerivAt.comp_const_add, NumberField.mixedEmbedding.polarCoord_source, SchwartzMap.fourierMultiplierCLM_ofReal, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, UpperHalfPlane.J_smul, fderiv_inv, differentiableWithinAt_iff_restrictScalars, Complex.orthonormalBasisOneI_repr_symm_apply, MeasureTheory.L1.nnnorm_Integral_le_one, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, UpperHalfPlane.cmp_dist_eq_cmp_dist_coe_center, hasDerivAt_circleMap, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, 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, MultilinearMap.mkContinuousLinear_norm_le', HasStrictDerivAt.cpow_const, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NumberField.mixedEmbedding.continuous_norm, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, contDiffOn_fderiv_coord_change, HasDerivWithinAt.neg, MeromorphicOn.logDeriv, Complex.continuousOn_tan, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, Complex.hasDerivAt_sqrt, HasStrictDerivAt.smul_const, hasDerivAt_iff_hasFDerivAt, HasStrictDerivAt.sub, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_left, HasFiniteFPowerSeriesOnBall.neg, ContinuousWithinAt.of_dslope, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, sum_mul_eq_sub_integral_mul₁, HasDerivWithinAt.Ioo_of_Ioi, LinearMap.weakBilin_withSeminorms, RCLike.complexLinearIsometryEquiv_symm_apply, PadicInt.continuous_addChar_of_value_at_one, norm_derivWithin_eq_norm_fderivWithin, ModularForm.differentiableAt_eta_of_mem_upperHalfPlaneSet, differentiableWithinAt_dslope_of_ne, ApproximatesLinearOn.antilipschitz, LinearMap.polar_weak_closed, WeakDual.isClosed_closedBall, VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le, HasDerivAt.arsinh, Meromorphic.fun_zpow, hasDerivAt_fourier, Filter.Tendsto.ofReal, 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, Meromorphic.fun_mul, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, Complex.instCompleteSpace, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, ContDiffOn.continuousOn_derivWithin, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, UpperHalfPlane.le_dist_coe, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, fdifferential_comp, CStarMatrix.mul_entry_mul_eq_inner_toCLM, continuous_inner, MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left, ModularFormClass.differentiableAt_cuspFunction, fourier_apply, FormalMultilinearSeries.le_comp_radius_of_summable, ContinuousLinearMap.le_opNorm₂, ContinuousLinearMap.lpPairing_eq_integral, Filter.Tendsto.cpow, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, Seminorm.continuous_iff, ContinuousLinearMap.norm_uncurryMid, DifferentiableOn.isExactOn_ball, RCLike.wInner_const_right, Continuous.clog, NumberField.InfinitePlace.Completion.instIsTopologicalRing, InnerProductSpace.rankOne_def', ContDiff.clm_comp, ContinuousLinearMap.opNorm_mul_le, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, ContDiffWithinAt.fderivWithin', hasStrictDerivAt_abs_neg, HasFDerivAt.comp_hasDerivWithinAt, WithSeminorms.continuous_seminorm, HasFPowerSeriesOnBall.tendstoUniformlyOn', Valued.integer.properSpace_iff_completeSpace_and_isDiscreteValuationRing_integer_and_finite_residueField, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, fderiv_apply_one_eq_deriv, HurwitzZeta.hasSum_nat_completedSinZeta, EulerProduct.eulerProduct_hasProd_mulIndicator, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, integrableOn_exp_mul_complex_Iic, ContinuousAlternatingMap.continuous_restrictScalars, SchwartzMap.fourierMultiplierCLM_const, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, LSeries_eq_mul_integral, contDiffAt_succ_iff_hasFDerivAt, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, TestFunction.monoCLM_eq_of_scalars, HasFDerivAt.inner, Complex.frontier_setOf_le_re, HasDerivAt.rpow, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, Asymptotics.IsBigO.multisetProd, LinearMap.toMatrixOrthonormal_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, UpperHalfPlane.contMDiff_denom_zpow, DifferentiableWithinAt.csinh, AnalyticOnNhd.eqOn_or_eventually_ne_of_preconnected, deriv_inv'', contDiffOn_tsum_cexp, convex_halfSpace_re_ge, OrthogonalFamily.inner_sum, deriv_circleMap, NormedSpace.vonNBornology_eq, cfcₙAux_injective, PeriodPair.latticeBasis_one, EuclideanSpace.inner_eq_star_dotProduct, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, Polynomial.tendsto_nhds_iff, ContinuousLinearMap.isometry_mul, isCoveringMapOn_npow, OrthonormalBasis.sum_repr_symm, Meromorphic.pow, LeftInvariantDerivation.coe_neg, Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, Complex.frontier_setOf_re_lt, DifferentiableWithinAt.restrictScalars_fderivWithin, PeriodPair.weierstrassP_sub_coe, SchwartzMap.norm_toBoundedContinuousFunction_le, isCompact_closedAbsConvexHull_of_totallyBounded, HasStrictFDerivAt.continuousAlternatingMap_apply, PadicInt.fwdDiff_iter_le_of_forall_le, 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, HasFTaylorSeriesUpToOn.add, MeasureTheory.dist_convolution_le', DifferentiableAt.of_dslope, isQuotientCoveringMap_zpow, AnalyticOnNhd.eval_polynomial, NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace_apply, differentiableOn_neg, fderivWithin_multiset_prod, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, 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, Unitization.norm_def, ContMDiff.clm_bundle_apply₂, EisensteinSeries.qExpansion_identity_pnat, Asymptotics.IsBigO.finsetProd, SchwartzMap.eLpNorm_le_seminorm, Complex.isCoveringMapOn_exp, HasStrictDerivAt.const_smul, deriv_neg', HasDerivAt.fun_sum, Orientation.kahler_rotation_left', zeta_eq_tsum_one_div_nat_add_one_cpow, FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp, second_derivative_symmetric, Complex.continuous_cos, DirichletCharacter.differentiableAt_completedLFunction, norm_prod, ContinuousAlternatingMap.curryLeft_same, NumberField.mixedEmbedding.euclidean.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, ContinuousMultilinearMap.curryRight_apply, UpperHalfPlane.σ_ofReal, MeromorphicOn.fun_zpow, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Distribution.dsupport_smulLeftCLM_subset, ContMDiffWithinAt.mfderivWithin, convex_halfSpace_im_ge, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, contDiffOn_inv, ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, HasFDerivAt.comp_hasDerivWithinAt_of_eq, UpperHalfPlane.le_dist_iff_le_dist_coe_center, PadicInt.hasSum_mahlerSeries, MeromorphicAt.pow, NumberField.mixedEmbedding.polarCoord_target, Complex.continuousAt_arg_coe_angle, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, CauSeq.cauchySeq, Asymptotics.superpolynomialDecay_iff_isBigO, ContinuousLinearMap.norm_extendTo𝕜', HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, StrongDual.polar_univ, 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, Padic.toEquiv_withValUniformEquiv_eq_toEquiv_withValRingEquiv, UpperHalfPlane.ofComplex_apply, ContDiffMapSupportedIn.postcompCLM_apply, 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, 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.tendsto_one_add_div_cpow_exp, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, Complex.hasSum_cos', Complex.closure_setOf_re_lt, Complex.deriv_cosh, MeromorphicOn.zpow, 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, Manifold.IsImmersionOfComplement.ofOpen, hasFDerivAt_exp_smul_const_of_mem_ball, ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, norm_root_le_spectralValue, NumberField.InfinitePlace.Completion.extensionEmbedding_coe, NumberField.mixedEmbedding.negAt_symm, HasFPowerSeriesWithinAt.prod, 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, Matrix.exp_conj, MeromorphicAt.prod, Polynomial.toAddCircle_monomial_eq_smul_fourier, NumberField.finite_of_discr_bdd, RCLike.instStarModuleReal, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, HasDerivWithinAt.sinh, continuousAt_const_cpow', fderiv_deriv, DifferentiableOn.finset_prod, Complex.hasStrictDerivAt_sin, Complex.polarCoord_source, hasFPowerSeriesAt_pi_iff, Module.Basis.continuous_toMatrix, derivWithin_ccos, NormedField.continuousAt_zpow, hasDerivWithinAt_univ, Seminorm.ball_zero_absorbs_ball_zero, RCLike.continuous_conj, NumberField.mixedEmbedding.polarCoord_symm_eq, continuous_barycentric_coord, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, Complex.exp_sub_sum_range_succ_isLittleO_pow, ContinuousLinearMapWOT.ext_dual_iff, contDiff_clm_apply_iff, Complex.continuousOn_prod_circle_transform_function, HasFPowerSeriesAt.hasFDerivAt, OrthonormalBasis.measurePreserving_repr_symm, PadicComplex.isUltrametricDist, lp.summable_inner, WeakDual.isClosed_polar, Bornology.IsVonNBounded.extend_scalars, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, spec_cfcₙAux, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, DifferentiableOn.inner, eventually_enorm_mfderiv_extChartAt_lt, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, multipliableUniformlyOn_of_clog, HasDerivAt.ofReal_comp, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, hasFDerivAt_exp_smul_const, Differentiable.inner, UpperHalfPlane.dist_center_dist, LinearMap.mkContinuous₂_norm_le, DifferentiableAt.ofReal_cpow_const, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, LeftInvariantDerivation.map_smul, hasFDerivAt_jacobiTheta₂, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, HasDerivAt.hasFDerivAt_equiv, Complex.isHomeomorphicTrivialFiberBundle_re, WithSeminorms.congr_equiv, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, NumberField.mixedEmbedding.polarSpaceCoord_target', Continuous.cpow, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, hasStrictDerivAt_const, fderiv_finset_prod, ContinuousLinearMap.self_comp_adjoint_injective_iff, rotationOf_coe, Real.Lp.fourierTransformCLM_apply, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, hasFDerivWithinAt_euclidean, HasFPowerSeriesWithinAt.restrictScalars, DifferentiableWithinAt.ccosh, Module.Basis.parallelepiped_eq_map, Asymptotics.IsEquivalent.exists_eq_mul, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, ContDiffMapSupportedIn.norm_apply_le_seminorm, Complex.deriv_tan, contDiffOn_clm_apply, isCauSeq_iff_cauchySeq, MeromorphicAt.frequently_eq_iff_eventuallyEq, fderiv_continuousAlternatingMap_apply_apply, UpperHalfPlane.dist_le_dist_coe_div_sqrt, HasDerivWithinAt.fun_sub, Seminorm.inf_apply, PiTensorProduct.mapLMultilinear_apply_apply, iteratedDeriv_comp_two, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, LinearMap.mem_polar_singleton, ContinuousMap.setOfIdeal_eq_compl_singleton, ContinuousLinearMap.evalL_apply, Complex.hasDerivAt_cosh, isBoundedBilinearMap_apply, MulAlgebraNormClass.toSeminormClass, FormalMultilinearSeries.analyticOnNhd, EisensteinSeries.tendsto_zero_inv_linear, Unitization.nnreal_cfcₙ_eq_cfc_inr, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, Complex.deriv_const_cpow, RCLike.ofRealCLM_norm, ContinuousLinearMap.IsInvertible.contDiffAt_map_inverse, HasStrictDerivAt.comp, Complex.sqrt_map, hasStrictFDerivAt_ringInverse, Complex.UnitDisc.coe_smul_closedBall, ContinuousLinearMap.mul_apply', fromTangentSpace_mfderiv_smul, HurwitzZeta.differentiableAt_hurwitzZeta, UpperHalfPlane.IsZeroAtImInfty.zero_at_infty_comp_ofComplex, MeromorphicNFOn.zero_set_eq_divisor_support, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_apply, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasDerivAt.tendsto_slope, RCLike.im_tsum, InnerProductSpace.rankOne_comp_rankOne, MeasureTheory.convolution_lsmul_swap, MeromorphicOn.circleAverage_log_norm, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, Real.hasStrictDerivAt_arctan, Complex.interior_setOf_re_le, DirichletCharacter.deriv_LFunctionTrivChar₁_apply_of_ne_one, HasDerivAtFilter.comp_of_eq, AnalyticAt.hasFPowerSeriesAt, hasDerivAtFilter_finCons', Complex.isOpen_im_gt_EReal, Filter.Tendsto.const_cpow, MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, TestFunction.fderivCLM_eq_of_scalars, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, tendsto_logDeriv_euler_cot_sub, SlashInvariantForm.coe_trace, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, TrivSqZeroExt.instL1IsBoundedSMul, BoundedContinuousFunction.instIsBoundedSMul_1, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, LSeries_differentiableOn, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, MulAlgebraNormClass.map_smul_eq_mul, hasStrictFDerivAt_finset_prod, TestFunction.lineDerivCLM_eq_of_scalars, instContMDiffInv₀ModelWithCornersSelf, differentiableAt_riemannZeta, 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, UpperHalfPlane.eventuallyEq_coe_comp_ofComplex, InnerProductSpace.rankOne_comp, EisensteinSeries.summable_linear_sub_mul_linear_add, HasDerivWithinAt.comp_hasFDerivAt, hasSum_mellin_pi_mul₀, StrongDual.mem_polarSubmodule, Complex.differentiableAt_sqrt, exists_dual_vector', MeromorphicAt.fun_prod, derivWithin_inv', FormalMultilinearSeries.apply_eq_prod_smul_coeff, Orientation.kahler_rightAngleRotation_left, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, HasDerivWithinAt.scomp, ContinuousLinearMap.hasBasis_nhds_zero_of_basis, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, hasFPowerSeriesWithinAt_pi_iff, DifferentiableWithinAt.div, UnitAddTorus.hasSum_mFourier_series_of_summable, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, hasDerivAt_iff_isLittleO_nhds_zero, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, HurwitzZeta.hasSum_nat_hurwitzZetaOdd, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, 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, LinearMap.polar_AbsConvex, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, PiTensorProduct.liftIsometry_comp_mapL, Complex.closure_setOf_lt_re, UnitAddTorus.mFourierSubalgebra_separatesPoints, MDifferentiableOn.clm_comp, HasStrictDerivAt.fun_const_smul, Complex.betaIntegral_convergent, EisensteinSeries.tsum_tsum_symmetricIco_sub_eq, HasDerivWithinAt.congr_deriv, RCLike.geometric_hahn_banach_open, Seminorm.continuous_iSup, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, AnalyticAt.preimage_of_nhdsNE, HurwitzZeta.differentiableAt_update_of_residue, harmonic_is_realOfHolomorphic, Real.hasDerivAt_cosh, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, continuousMultilinearCurryLeftEquiv_apply, LeftInvariantDerivation.coe_smul, HasFPowerSeriesAt.deriv, ModularForm.summable_logDeriv_one_sub_eta_q, PeriodPair.weierstrassPSeries_hasSum, DifferentiableOn.div, LSeries_sum, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, Seminorm.coe_sSup_eq, SchwartzMap.norm_toLp_top_le, HasFDerivAt.csin, ContMDiffAt.clm_prodMap, UpperHalfPlane.comp_ofComplex_of_im_le_zero, derivWithin_csin, Complex.hasDerivAt_sin, fourierCoeff_eq_intervalIntegral, Seminorm.bddBelow_range_add, ContinuousAlternatingMap.restrictScalarsCLM_apply, NumberField.mixedEmbedding.continuous_normAtPlace, SchwartzMap.tsupport_fderivCLM_subset, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, Manifold.IsImmersionAtOfComplement.of_opens, hfdifferential_apply, MeasureTheory.Integrable.inner_const, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, Complex.closure_reProdIm, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Real.hasDerivAt_fourierChar, ContinuousLinearMap.intervalIntegral_apply, AnalyticOnNhd.fderiv, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, MeromorphicAt.fun_mul, HasFDerivWithinAt.comp_hasDerivWithinAt, hasDerivAt_intCast, Orientation.kahler_rotation_left, multipliable_sineTerm, Seminorm.absorbent_ball_zero, LindemannWeierstrass.integral_exp_mul_eval, HasDerivWithinAt.inv, 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, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, NormedField.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, derivWithin_comp, ContinuousMultilinearMap.changeOriginSeries_support, PeriodPair.deriv_derivWeierstrassPExcept_self, UpperHalfPlane.meromorphicOrderAt_comp_smul, Differentiable.csinh, ContDiffMapSupportedIn.seminorm_apply, LinearMap.tripolar_eq_polar, RCLike.toIsOrderedAddMonoid, Complex.hasStrictDerivAt_exp, ContinuousAffineMap.snd_decompLinearIsometryEquiv, WithSeminorms.tendsto_nhds_atTop, ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, Complex.re_tsum, Continuous.inner, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, 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, nnnorm_fderiv_norm_rpow_le, EisensteinSeries.q_expansion_bernoulli, deriv_clm_comp, HasStrictFDerivAt.approximates_deriv_on_open_nhds, 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, tsum_prod_pow_eq_tsum_sigma, WeakDual.metrizable_of_isCompact, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Real.hasDerivAt_Gamma_one_half, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, ContinuousLinearMap.isEmbedding_restrictScalars, spectrum.hasFDerivAt_resolvent, deriv_comp_of_eq, contDiff_prod', HasFiniteFPowerSeriesOnBall.eq_partialSum', continuousAt_cpow_const, GaussianFourier.tendsto_verticalIntegral, coe_lpBCFₗᵢ_symm, MeromorphicOn.AnalyticOnNhd.divisor_nonneg, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, 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, AlgHom.coe_toContinuousLinearMap, hahnEmbedding_isOrderedModule_rat, 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, differentiableAt_const_cpow_of_neZero, tsum_dirichletSummand, Filter.Tendsto.isVonNBounded_range, HasDerivAt.const_mul, AnalyticOnNhd.codiscrete_setOf_analyticOrderAt_eq_zero_or_top, Real.hasFDerivAt_fourierIntegral, HasDerivWithinAt.congr, SchwartzMap.integralCLM_apply, EulerSine.tendsto_integral_cos_pow_mul_div, IsCovariantDerivativeOn.add_one_form, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, PolynormableSpace.withSeminorms', hasDerivAt_one, HasDerivAtFilter.fun_neg, Complex.dist_conj_conj, HasStrictFDerivAt.hasStrictDerivAt, circleIntegrable_sub_zpow_iff, FormalMultilinearSeries.radius_shift, Polynomial.fourierCoeff_toAddCircle_natCast, Complex.conjCLE_apply, ContinuousMap.spectrum_eq_range, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, innerSLFlip_apply, ContinuousAt.clm_bundle_apply₂, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, ContinuousMultilinearMap.hasBasis_nhds_zero_of_basis, fderivWithin_derivWithin, hasDerivAt_const_mul, HasDerivWithinAt.ccos, 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, Valued.integer.properSpace_iff_compactSpace_integer, fderiv_continuousMultilinearMapCompContinuousLinearMap, completeSpace_of_cauSeq_isComplete, HasDerivWithinAt.smul_const, Polynomial.fderivWithin_aeval, norm_iteratedFDeriv_prod_le, 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, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Submodule.topologicalClosure_eq_top_iff, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, DirichletCharacter.LSeries_eulerProduct_exp_log, mdifferentiableOn_coordChangeL, Finset.analyticAt_prod, Polynomial.fderivWithin, HasFDerivWithinAt.const_cpow, HasFiniteFPowerSeriesOnBall.add, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, SummableLocallyUniformlyOn.differentiableOn, 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, OrthonormalBasis.repr_symm_single, Real.fourierChar_apply, MultilinearMap.mkContinuousMultilinear_norm_le, tendsto_tprod_one_add_of_dominated_convergence, WeakDual.CharacterSpace.norm_le_norm_one, ContDiffMapSupportedIn.monoCLM_eq_zero, 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, 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, MeromorphicOn.fun_mul, Complex.instTietzeExtension, HasDerivWithinAt.congr_set, MeasureTheory.MemLp.haarAddCircle, Bornology.isVonNBounded_add, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, NumberField.InfinitePlace.Completion.algebraMap_coe, ProperSpace.of_locallyCompact_module, hasDerivWithinAt_zpow, OrthogonalFamily.range_linearIsometry, NumberField.mixedEmbedding.convexBodyLT_convex, hasFPowerSeriesOnBall_cuspFunction, Complex.instT2Space, Monotone.deriv_nonneg, UpperHalfPlane.exp_half_dist, VectorBundleCore.IsContMDiff.contMDiffOn_coordChange, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, fderiv_continuousMultilinear_apply_const, Orientation.kahler_mul, derivWithin_fun_finset_prod, HasDerivWithinAt.smul, innerSL_real_flip, GaussianFourier.integral_cexp_neg_mul_sum_add, Complex.continuous_ofReal_cpow_const, HasDerivAt.real_of_complex, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, Matrix.instIsOrderedAddMonoid, Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero, NormedAlgebra.Real.nonempty_algEquiv_or, HurwitzZeta.differentiableAt_completedCosZeta, fourier_neg, HasDerivWithinAt.mono, HasMFDerivAt.prod, fderivWithin_csin, Function.Periodic.eventually_differentiableAt_cuspFunction_nhds_ne_zero, LSeries.tendsto_cpow_mul_atTop, ContinuousMultilinearMap.curryMid_apply, ContinuousAt.cpow, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, HasFDerivWithinAt.comp_hasDerivAt, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, EisensteinSeries.tendsto_double_sum_S_act, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, HasDerivAt.eventually_notMem, WeakDual.CharacterSpace.mem_spectrum_iff_exists, ClosedSubmodule.sInf_orthogonal, HasDerivWithinAt.tendsto_nhdsWithin_nhdsNE, HasDerivAt.mul, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, Matrix.PosSemidef.re_dotProduct_nonneg, ContMDiff.clm_postcomp, Complex.sinh_eq_tsum, balanced_closedBall_zero, continuousAt_jacobiTheta₂, HurwitzZeta.hasSum_nat_hurwitzZetaEven_of_mem_Icc, instSMulCommClass_sphere_ball_ball, PiLp.basis_toMatrix_basisFun_mul, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, MDifferentiableAt.coordChangeL, Polynomial.isOpenQuotientMap_eval, fderivWithin_continuousAlternatingMap_apply_const, ContDiffAt.clm_comp, EulerSine.antideriv_sin_comp_const_mul, ContinuousLinearMap.norm_restrictScalars, Complex.differentiableAt_cosh, Finset.analyticOn_fun_prod, coe_normSeminorm, ApproximatesLinearOn.closedBall_subset_target, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, Differentiable.fun_finset_prod, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, MDifferentiableWithinAt.clm_postcomp, 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, ContDiffBump.convolution_eq_right, TemperedDistribution.instFourierInvSMul, PadicInt.totallyBounded_univ, HasDerivWithinAt.const_smul, Derivative.normalizedDerivOfComplex_mdifferentiable, ContMDiff.clm_prodMap, Complex.deriv_cos', Complex.imCLM_coe, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, Complex.isQuotientMap_im, HasDerivWithinAt.hasDerivAt, ContinuousLinearMap.opNorm_mul_apply_le, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, DifferentiableAt.cpow_const, Polynomial.aeval_ofReal, deriv_pow_field, ContinuousLinearMap.orthogonal_range, HasFiniteFPowerSeriesAt.add, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', MeromorphicOn.min_divisor_le_divisor_add, HasDerivWithinAt.rpow_const, AnalyticAt.eventually_eq_or_eventually_ne, Polynomial.hasDerivAt_aeval, MeasureTheory.stronglyMeasurable_charFun, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, TestFunction.fderivCLM_apply_of_gt, hasDerivAt_gronwallBound, hasDerivWithinAt_const_add_iff, Complex.continuous_ofReal, deriv_finset_prod, 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, deriv_div, Polynomial.C_eq_or_isOpenQuotientMap_eval, Complex.derivWithin_const_cpow, hasDerivAt_ofReal_cpow_const, EisensteinSeries.summable_e2Summand_symmetricIcc, hasDerivAt_norm_rpow, ContinuousLinearMap.spectrum_eq, UnitAddTorus.hasSum_prod_mFourierCoeff, Padic.withValUniformEquiv_cast_apply, TendstoUniformlyOn.comp_cexp, NumberField.mixedEmbedding.latticeBasis_apply, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, spectrum.exp_mem_exp, HasStrictDerivAt.fun_sub, HasDerivWithinAt.star, Unitization.isUniformEmbedding_addEquiv, Meromorphic.logDeriv, BoundedContinuousFunction.star_mem_range_charAlgHom, Seminorm.smul_closedBall_preimage, AnalyticAt.eventually_eq_zero_or_eventually_ne_zero, MeromorphicOn.extract_zeros_poles, Matrix.IsHermitian.cfcAux_id, HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, ContinuousLinearMap.norm_bilinearRestrictScalars, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, Ideal.Quotient.norm_mk_lt, ContinuousLinearMap.nhds_zero_eq, PiTensorProduct.liftIsometry_apply_apply, ContinuousMultilinearMap.prodL_symm_apply, ContinuousMap.adjoin_id_eq_span_one_add, DifferentiableWithinAt.clog, LeftInvariantDerivation.map_neg, Complex.sin_eq_tsum, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, RCLike.real_smul_ofReal, differentiableAt_jacobiTheta₂_snd, Padic.coe_withValRingEquiv, AnalyticOnNhd.sum_divisor_le, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, TendstoLocallyUniformlyOn.differentiableOn, 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, IsUltrametricDist.normedAlgebra_iff, PadicInt.fwdDiff_mahlerSeries, AnalyticOnNhd.preimage_mem_codiscreteWithin, LSeries.tendsto_atTop, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, 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, withSeminorms_pi, Complex.isOpen_im_lt_EReal, SchwartzMap.derivCLM_apply, ContDiffAt.fderiv, Matrix.toLin_finTwoProd_toContinuousLinearMap, Seminorm.gauge_ball, Circle.coe_inv, RCLike.map_nonneg_iff, hasSum_fourier_series_of_summable, Polynomial.supNorm_le_choose_natDegree_div_two_mul_mahlerMeasure, MeromorphicOn.negPart_divisor_add_le_max, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivAtFilter_iff_hasFDerivAtFilter, hasDerivWithinAt_inter', Complex.hasStrictDerivAt_cpow_const, HasDerivWithinAt.scomp_hasDerivAt, ContDiffBump.dist_normed_convolution_le, MDifferentiableOn.clm_precomp, WithAbs.isUniformInducing_of_comp, VectorField.lieBracketWithin_smul_right, mellin_differentiableAt_of_isBigO_rpow_exp, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', AlgebraNorm.extends_norm', Asymptotics.isEquivalent_iff_tendsto_one, differentiable_neg, 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, PadicInt.continuous_multichoose, 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, contDiffWithinAt_prod, HasFPowerSeriesWithinOnBall.add, NumberField.mixedEmbedding.logMap_real, contDiffOn_succ_iff_fderivWithin, NumberField.mixedEmbedding.commMap_apply_of_isReal, derivWithin_fun_pow, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, HasDerivWithinAt.Ioi_of_Ici, 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, HasMFDerivWithinAt.mul, NumberField.mixedEmbedding.polarCoord_apply, TemperedDistribution.instLineDerivSMulComplex, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, euler_sineTerm_tprod, MeasureTheory.MemLp.of_haarAddCircle, HasStrictFDerivAt.clm_apply, NormedField.discreteTopology_of_bddAbove_range_norm, ContMDiffAt.clm_bundle_apply₂, ContDiffMapSupportedIn.fderivLM_apply, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux, continuousMultilinearCurryRightEquiv_symm_apply', ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, MeasureTheory.L1.setToL1_add_left, ContDiffWithinAt.fderivWithin, WeakDual.isCompact_of_bounded_of_closed, ContDiffMapSupportedIn.continuousSMul, Real.hasStrictDerivAt_sin, StrongDual.zero_mem_polar, Subalgebra.frontier_spectrum, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, Complex.log_eq_integral, Complex.equivRealProdCLM_symm_apply_re, DifferentiableOn.cexp, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, MeromorphicOn.divisor_smul, UpperHalfPlane.sinh_half_dist_add_dist, NumberField.mixedEmbedding.continuous_normAtAllPlaces, iteratedDerivWithin_eq_equiv_comp, PeriodPair.isClosed_of_subset_lattice, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, IsCompact.reProdIm, LinearPMap.adjointDomainMkCLMExtend_apply, HasDerivAt.const_add, WithAbs.pseudoMetricSpace_induced_of_comp, iteratedFDerivWithin_two_apply, extDerivWithin_smul, fderiv_ccosh, PeriodPair.not_continuousAt_weierstrassP, ContDiffMapSupportedIn.seminorm_postcompLM_le, ContinuousMultilinearMap.cpolynomialOn_uncurry_compContinuousLinearMap, DoubleCentralizer.coe_fst, HasDerivAt.prodMk, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, ContinuousMultilinearMap.analyticWithinAt_uncurry_compContinuousLinearMap, HasStrictFDerivAt.cpow, HurwitzZeta.differentiable_cosZeta_of_ne_zero, ContDiffPointwiseHolderAt.fderiv, fderiv_fun_mul, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO, NumberField.mixedEmbedding.latticeBasis_repr_apply, Submodule.adjoint_orthogonalProjection, Complex.deriv_cpow_const, ContinuousMapZero.instCStarRing, NormedField.instCompletableTopField, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, hasFDerivWithinAt_iff_hasGradientWithinAt, Real.fourierIntegral_continuousLinearMap_apply', CurveIntegrable.smul, ContinuousLinearMap.hasFDerivAt_of_bilinear, FormalMultilinearSeries.min_radius_le_radius_add, hasStrictDerivAt_one, Complex.summable_one_div_nat_cpow, MeromorphicOn.fun_div, HasDerivWithinAt.of_isLittleO, contMDiffAt_iff_localFrame_coeff, Complex.nndist_conj_comm, StrongDual.extendRCLike_apply, ContinuousLinearMap.closed_range_of_antilipschitz, HasStrictFDerivAt.multiset_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, HasDerivAt.div_const, HasDerivAt.scomp_of_eq, VonNeumannAlgebra.coe_toStarSubalgebra, Matrix.toEuclideanLin_apply_piLp_toLp, 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, TensorialAt.mkHom₂_apply, ContinuousAlternatingMap.curryLeft_add, NumberField.AdeleRing.algebraMap_fst_apply, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', Seminorm.smul_ball_preimage, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, summable_prod_eisSummand, mdifferentiable_jacobiTheta, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, ContinuousAlternatingMap.prodLIE_apply, RCLike.ofReal_tsum, hasDerivAt_pow, contDiff_succ_iff_deriv, Complex.instProperSpace, CPolynomialOn.fderiv, ftaylorSeries_zero, max_norm_root_eq_spectralValue, DifferentiableOn.ccosh, integrableOn_mul_sum_Icc, EuclideanSpace.dist_eq, NumberField.mixedEmbedding.normAtPlace_negAt, PadicInt.mahlerEquiv_apply, Complex.nndist_conj_conj, Polynomial.div_tendsto_atTop_zero_of_degree_lt, SchwartzMap.convolution_flip, HasDerivWithinAt.isLittleO, HasDerivAt.rpow_const, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, contDiffOn_succ_iff_derivWithin, 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, EisensteinSeries.G2_eq_tsum_cexp, HasDerivAt.div, 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, Circle.normSq_coe, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, Complex.hasDerivAt_Gamma_one, TemperedDistribution.fourierMultiplierCLM_sum, ContMDiffCovariantDerivativeOn.contMDiff, NumberField.mixedEmbedding.normAtPlace_smul, PeriodPair.hasSum_weierstrassPExcept, 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, ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, Real.hasDerivAt_tan_of_mem_Ioo, NumberField.mixedEmbedding.finrank, ContinuousLinearMap.star_eq_adjoint, UnconditionalSchauderBasis.bddAbove_range_nnnorm_proj, AffineMap.differentiableOn, Complex.imCLM_nnnorm, FormalMultilinearSeries.comp_rightInv, ContinuousMultilinearMap.curryLeft_apply, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, EisensteinSeries.qExpansion_identity, HasStrictDerivAt.fun_neg, 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, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, hasStrictDerivAt_inv, RCLike.wInner_one_const_left, circleIntegrable_sub_inv_iff, AlternatingMap.mkContinuousLinear_norm_le, ModularFormClass.bounded_at_infty_comp_ofComplex, ProperCone.hyperplane_separation_of_notMem, HasStrictDerivAt.ccosh, NumberField.mixedEmbedding.convexBodySum_isBounded, LinearMap.continuous_of_isClosed_ker, ContinuousOn.const_cpow, 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, eventuallyConst_iff_analyticOrderAt_sub_eq_top, NumberField.mixedEmbedding.polarSpaceCoord_apply, Real.nonempty_algEquiv_or, HasDerivAt.iterate, tsum_eisSummand_eq_tsum_sigma_mul_cexp_pow, Padic.coe_withValRingEquiv_symm, 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, ContDiffMapSupportedIn.withSeminorms, ContMDiffFiberwiseLinear.locality_aux₁, MeasureTheory.withDensityᵥ_smul, LinearMap.polar_isClosed, NumberField.mixedEmbedding.negAt_apply_norm_isReal, Bornology.isVonNBounded_vadd, SchauderBasis.enorm_proj_le_enormProjBound, innerₛₗ_apply, deriv_inner_apply, Complex.log_sub_logTaylor_isBigO, differentiable_completedZeta₀, innerSL_apply, OrthonormalBasis.coe_toBasis_repr, Filter.Tendsto.cexp, ContMDiffMap.smul_comp', hasStrictFDerivAt_list_prod, fourier_zero', HurwitzZeta.hasSum_int_sinZeta, spectrum.resolvent_tendsto_cobounded, Complex.differentiable_sinh, Seminorm.absorbent_closedBall, Summable.hasProdLocallyUniformlyOn_nat_one_add, InnerProductSpace.isIdempotentElem_rankOne_self_iff, HasDerivAt.tendsto_slope_zero, fderivWithin_continuousLinearEquiv_comp, ContinuousMultilinearMap.toUniformOnFun_toFun, HasDerivAtFilter.hasFDerivAtFilter, ZMod.toCircle_intCast, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, hasDerivAtFilter_pi, 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, 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, analyticAt_finprod, ContMDiffAt.mfderiv, Complex.volume_ball, Real.deriv_fourierChar, OrthonormalBasis.sum_repr, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, cpow_eq_nhds', Bornology.isVonNBounded_insert, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, Continuous.clm_bundle_apply₂, instSMulCommClass_closedBall_closedBall_ball, jacobiTheta_eq_tsum_nat, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, ContinuousLinearMap.analyticOn_uncurry_of_multilinear, Complex.UnitDisc.instSMulCommClass_circle_closedBall, Complex.differentiable_iteratedDeriv_sinh, FormalMultilinearSeries.changeOrigin_eval, LSeries.term_sum_apply, LinearMap.toSeminorm_ball_zero, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, DifferentiableAt.cexp, ContDiffAt.cexp, UpperHalfPlane.contMDiffAt_iff, iter_deriv_inv_linear_sub, MeromorphicOn.pow, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Complex.nhdsWithin_stolzCone_le_nhdsWithin_stolzSet, IsSelfAdjoint.adjoint_conj, Complex.taylorSeries_eq_on_eball', closedAbsConvexHull_eq_closure_absConvexHull, VectorFourier.fourierIntegral_continuousMultilinearMap_apply, Complex.differentiableAt_sinh, HasDerivAt.inner, MeasureTheory.Integrable.fintype_prod, 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, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, Meromorphic.finprod, AlternatingMap.mkContinuousAlternating_norm_le_max, Complex.analyticOnNhd_iff_differentiableOn, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, Complex.conjCLE_norm, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, SchwartzMap.seminorm_apply, mdifferentiableAt_coordChangeL, hasDerivAt_finCons', HasStrictDerivAt.hasDerivAt, MeasureTheory.Lp.toTemperedDistribution_toLp_eq, Complex.differentiableAt_log, LeftInvariantDerivation.evalAt_mul, Asymptotics.IsLittleO.finsetProd, differentiableAt_completedZeta, isScalarTower_sphere_ball_ball, PeriodPair.derivWeierstrassPExcept_add_coe, HasFPowerSeriesWithinAt.add, ContDiffMapSupportedIn.fderivCLM_apply_of_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, Complex.isQuotientMap_re, ContinuousLinearMap.adjoint_inner_right, Circle.coeHom_apply, exists_extension_norm_eq, AnalyticOn.hasFPowerSeriesOnBall, Complex.dist_conj_comm, hasFDerivAt_integral_of_dominated_of_fderiv_le'', rootsOfUnityCircleEquiv_apply, CuspFormClass.zero_at_infty_slash, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, hasStrictDerivAt_exp_zero_of_radius_pos, differentiableAt_conj_conj_iff, HasStrictFDerivAt.continuousAlternatingMap_apply_const, NormedSpace.closedBall_inv_subset_polar_closedBall, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, MeasureTheory.convolution_mono_right, UnitAddTorus.span_mFourier_closure_eq_top, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, MeromorphicAt.div, MeasureTheory.withDensityᵥ_smul', differentiableAt_iff_restrictScalars, Complex.imCLM_enorm, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, hasDerivAtFilter_const, SchwartzMap.tsupport_derivCLM_subset, ContinuousAffineMap.fst_decompLinearIsometryEquiv, hasDerivAt_single, OrthonormalBasis.coe_toBasis_repr_apply, EisensteinSeries.tendsto_tsum_one_div_linear_sub_succ_eq, PadicInt.norm_mahler_eq, UpperHalfPlane.mdifferentiable_coe, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, Circle.coe_inj, Complex.hasProd_of_hasSum_log, SchwartzMap.le_seminorm', Complex.arg_eq_nhds_of_re_pos, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, ContinuousOn.inner, StrongDual.im_extendRCLike_apply, complexOfReal_fderiv, summable_cotTerm, RCLike.conjAe_coe, fderivWithin_mul_const, continuousAt_jacobiTheta₂', NormedSpace.algebraMap_exp_comm_of_mem_ball, VectorFourier.norm_fourierSMulRight_le, continuous_cfcₙAux, Manifold.IsImmersionOfComplement.id, RCLike.wInner_one_eq_sum, derivWithin_finset_prod, UnconditionalSchauderBasis.nnnorm_proj_le_nnnormProjBound, derivWithin_div, ContDiffOn.inv, ContinuousAlternatingMap.nnnorm_ofSubsingleton, norm_cfcHom, PeriodPair.weierstrassPExceptSeries_hasSum, RCLike.toContinuousLinearMap_complexLinearIsometryEquiv, KuratowskiEmbedding.embeddingOfSubset_dist_le, EisensteinSeries.eisSummand_extension_differentiableOn, EuclideanSpace.dist_sq_eq, integral_ofReal, HasFiniteFPowerSeriesOnBall.fderiv', 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, tendsto_sum_mul_atTop_nhds_one_sub_integral, Complex.deriv_sinh, AnalyticAt.aeval_mvPolynomial, 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, UnitAddTorus.hasSum_mFourier_series_apply_of_summable, WeakDual.CharacterSpace.equivAlgHom_coe, Valued.toNormedField.setOf_mem_integer_eq_closedBall, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, fourier_coe_apply', TestFunction.instLineDerivSMulTopENat, EuclideanSpace.inner_toLp_toLp, NumberField.mixedEmbedding.polarSpaceCoord_source, TemperedDistribution.lineDerivOp_fourierInv_eq, Complex.hasSum_taylorSeries_log, fourierCoeffOn_eq_integral, Differentiable.clog, MeromorphicOn.negPart_divisor_add_le_add, UpperHalfPlane.dist_coe_le, CompactConvergenceCLM.continuousSMul, mfderiv_smul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, derivWithin_csinh, HasFDerivAt.hasGradientAt, 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, 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, PadicInt.continuousAddCharEquiv_symm_apply, RCLike.geometric_hahn_banach_of_nonempty_interior, MeasureTheory.Integrable.const_inner, hasStrictDerivAt_exp_smul_const_of_mem_ball', LSeriesHasSum.sum, ContinuousLinearMap.extendTo𝕜'_apply, TestFunction.fderivCLM_apply, continuous_descPochhammer_eval, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, VectorFourier.norm_fourierPowSMulRight_le, MeromorphicAt.inv, Complex.equivRealProdCLM_symm_apply_im, AddChar.linearIndependent, Complex.polarCoord_symm_apply, 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, DifferentiableWithinAt.cexp, summable_bernoulli_fourier, RCLike.re_extendTo𝕜ₗ, ModularFormClass.differentiableOn_cuspFunction_ball, Unitization.splitMul_injective, MeromorphicOn.fun_inv, Antitone.deriv_nonpos, ZMod.differentiable_completedLFunction₀, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContDiffMapSupportedIn.continuous_iff_comp, PeriodPair.periodic_weierstrassP, differentiable_tsum', 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, deriv_fun_pow, EisensteinSeries.summable_e2Summand_symmetricIco, 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, HasDerivWithinAt.continuousOn, cfcₙ_setIntegral', NumberField.mixedEmbedding.polarCoord_target_eq_polarCoordReal_target, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, Circle.arg_exp, hasFDerivAt_exp_smul_const_of_mem_ball', WithSeminorms.partial_sups, hasDerivAt_mul_const, HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, HasStrictDerivAt.add_const, MeromorphicAt.eventuallyEq_nhdsNE_of_eventuallyEq_codiscreteWithin, DifferentiableOn.clog, derivWithin_id, ContinuousOn.cpow, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, hasStrictFDerivAt_exp_smul_const, 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, ContinuousOn.clog, iteratedFDeriv_two_apply, ContinuousMultilinearMap.analyticOnNhd_uncurry_compContinuousLinearMap, Real.hasStrictDerivAt_tan, WeakDual.isSeqCompact_of_isBounded_of_isClosed, UpperHalfPlane.dist_le_iff_le_sinh, RCLike.wInner_cWeight_const_right, TemperedDistribution.smulLeftCLM_sum, mahler_apply, NumberField.InfinitePlace.Completion.WithAbs.ratCast_equiv, HasStrictFDerivAt.mul, iter_deriv_inv_linear, EisensteinSeries.summable_right_one_div_linear_sub_one_div_linear_succ, HurwitzZeta.differentiableAt_cosZeta, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, MeromorphicAt.fun_zpow, Complex.IsConservativeOn.isExactOn_ball, Summable.hasProdUniformlyOn_one_add, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, ContDiffOn.continuousOn_deriv_of_isOpen, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, HasDerivWithinAt.cpow_const, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, 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, DifferentiableOn.fun_div, ContMDiff.clm_comp, VectorPrebundle.IsContMDiff.exists_contMDiffCoordChange, gelfandTransform_isometry, FormalMultilinearSeries.le_radius_pi, Quaternion.coe_ofComplex, Real.hasDerivAt_arctan, UpperHalfPlane.σ_conj, continuousMultilinearCurryLeftEquiv_symm_apply, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, UnitAddTorus.mFourierCoeff_eq_integral, hasDerivAt_exp_smul_const', 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, Complex.deriv_sqrt, AnalyticOnNhd.map_codiscreteWithin, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, MeasureTheory.SignedMeasure.toComplexMeasure_apply_im, ContinuousLinearMap.isUniformEmbedding_toUniformOnFun, iteratedDerivWithin_scomp_two, fderiv_csinh, Complex.sin_eq_tsum', PiLp.inner_apply, mellin_differentiableAt_of_isBigO_rpow, ContinuousAt.clog, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, Complex.reCLM_norm, iteratedFDeriv_succ_eq_comp_left, UpperHalfPlane.dist_coe_center_sq, 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, DiffContOnCl.ball_subset_image_closedBall, NumberField.mixedEmbedding.convexBodySum_convex, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, PeriodPair.mul_ω₁_add_mul_ω₂_mem_lattice, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, RCLike.iInter_halfSpaces_eq', Circle.coe_exp, convex_halfSpace_im_le, ClosedSubmodule.orthogonal_closure, riemannZeta_eulerProduct_tprod, LinearMap.toSeminormFamily_apply, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, cpow_eq_nhds, ContDiffMapSupportedIn.structureMapCLM_zero_injective, sum_mul_eq_sub_integral_mul, RCLike.iInter_halfSpaces_eq, StrongDual.polar_zero, ContinuousMultilinearMap.piₗᵢ_apply, nnnorm_cfcHom, Module.Basis.opNNNorm_le, ContMDiffWithinAt.clm_precomp, 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, HasDerivAtFilter.comp, ContinuousLinearMap.coe_complexOfReal, MeasureTheory.Integrable.fourier_smul, LinearMap.coe_toContinuousLinearMap_symm, HasFDerivWithinAt.finset_prod, Complex.frontier_setOf_le_re_and_im_le, continuousMultilinearCurryFin1_symm_apply, HasStrictDerivAt.fun_add, 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, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, Complex.integral_boundary_rect_of_differentiableOn_real, PadicInt.mahlerEquiv_symm_apply, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, MeromorphicOn.mul, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, Complex.differentiable_iteratedDeriv_cos, ContinuousLinearEquiv.coord_self, UniformOnFun.continuousSMul_submodule_of_image_bounded, 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, Manifold.IsImmersionOfComplement.of_opens, HasDerivWithinAt.continuousWithinAt, ContinuousLinearEquiv.coord_norm, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, AddChar.coe_complexBasis, ContDiffOn.smulRight, Polynomial.toAddCircle_X_eq_fourier_one, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, Complex.differentiable_cos, HasStrictDerivAt.cos, PadicInt.continuousAddCharEquiv_apply, 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, UniformSpace.Completion.continuous_inner, contDiffOn_infty_iff_deriv_of_isOpen, fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, ContinuousMultilinearMap.norm_smulRight, LSeries_hasDerivAt, PadicInt.denseRange_intCast, instSMulCommClass_sphere_closedBall_ball, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, LeftInvariantDerivation.commutator_apply, UpperHalfPlane.mdifferentiableAt_iff, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContMDiffOn.clm_prodMap, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, fourierCoeffOn_of_hasDerivAt, NormedField.noncompactSpace, ContinuousLinearMap.hasDerivWithinAt, UpperHalfPlane.IsZeroAtImInfty.slash, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, FormalMultilinearSeries.derivSeries_apply_diag, ContMDiffWithinAt.clm_comp, NormedSpace.polar_closedBall, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, Seminorm.coe_iSup_eq, AnalyticAt.fderiv, HasDerivAt.conj_conj, AnalyticOn.eval_polynomial, Matrix.l2_opNNNorm_conjTranspose_mul_self, fderiv_comp_smul, iteratedFDeriv_clm_apply_const_apply, integrable_cexp_quadratic, Complex.image_exp_Ioc_eq_sphere, ContinuousLinearMap.opNorm_lsmul, IsOpen.isOpen_inter_preimage_of_deriv_eq_zero, coe_innerₛₗ_apply, isCoveringMapOn_zpow, 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, 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, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, PointwiseConvergenceCLM.withSeminorms, PeriodPair.indep, UpperHalfPlane.tanh_half_dist, MeasureTheory.convolution_eq_swap, Module.Basis.opNorm_le, MeromorphicOn.fun_prod, 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, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', MeromorphicOn.finsum, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, DFinsupp.inner_sum, 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, MeromorphicOn.divisor_def, WithSeminorms.continuous_iff_continuous_comp, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, inner_matrix_row_row, ContinuousAlternatingMap.uniformContinuous_restrictScalars, HasFTaylorSeriesUpTo.fderiv, Quaternion.linearIsometryEquivTuple_apply, MeasureTheory.intervalIntegrable_charFun, ContinuousMap.idealOf_compl_singleton_isMaximal, Complex.arg_eq_nhds_of_re_neg_of_im_neg, PiTensorProduct.injectiveSeminorm_tprod_le, HasStrictFDerivAt.fun_mul, Complex.hasSum_arctan, ContinuousLinearMap.norm_holderL_le, fourier_add, NormedSpace.exp_add_of_mem_ball, hasFDerivWithinAt_pow, gaugeSeminorm_lt_one_of_isOpen, PolynormableSpace.withSeminorms, contDiff_infty_iff_fderiv, MeasureTheory.charFun_eq_integral_innerProbChar, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, LinearMap.polar_mem_iff, hasDerivWithinAt_inv, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, gaugeSeminormFamily_ball, hasStrictDerivAt_id, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, instNonemptySeedRatReal, UpperHalfPlane.σ_eventuallyEq, hasProdUniformlyOn_of_clog, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip, HasGradientAt.fderiv_apply, Seminorm.comp_smul_apply, differentiableWithinAt_complex_iff_differentiableWithinAt_real, TemperedDistribution.derivCLM_apply_apply, Complex.hasDerivAt_exp, HurwitzZeta.hasSum_int_completedCosZeta, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, integral_re, Complex.hasSum_cosh, RCLike.tendsto_ofReal_atBot_cobounded, LeftInvariantDerivation.ext_iff, Complex.frontier_setOf_lt_re, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, Complex.taylorSeries_eq_of_entire', HasFDerivAt.cpow, Complex.conj_tsum, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, Real.hasStrictDerivAt_rpow_const, IsCovariantDerivativeOn.affine_combination, VectorField.lieBracket_smul_right, UpperHalfPlane.σ_mul_comm, HasFDerivAtFilter.restrictScalars, LinearMap.hasDerivAtFilter, PeriodPair.summable_weierstrassPExceptSummand, HasFiniteFPowerSeriesOnBall.fderiv_eq, ModularForm.coe_trace, integrable_mul_cexp_neg_mul_sq, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, Complex.frontier_setOf_le_im, Function.Periodic.differentiableAt_cuspFunction_zero, Complex.hasDerivAt_log_sub_logTaylor, Complex.GammaIntegral_convergent, hasStrictDerivAt_iff_hasStrictFDerivAt, 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, 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, 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, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, 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, HasStrictFDerivAt.inner, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, hasDerivAt_pi, 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, hasFDerivAt_inv', MeasureTheory.dominatedFinMeasAdditive_weightedSMul, tendsto_euler_sin_prod', HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, hasDerivWithinAt_finCons, Ideal.Quotient.norm_mk_le, HasDerivAt.const_cpow, WeakDual.CharacterSpace.exists_apply_eq_zero, exists_continuousLinearEquiv_fderiv_symm_eq, Complex.polarCoord_target, RCLike.conj_smul, HasDerivAt.smul, FormalMultilinearSeries.rightInv_coeff, Seminorm.absorbent_ball, differentiableAt_dslope_of_ne, Complex.hasDerivAt_log, DifferentiableAt.ccos, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, multipliableUniformlyOn_euler_sin_prod_on_compact, hasDerivAt_zpow, 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, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, isClosedMap_smul_left, 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, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, HurwitzZeta.hasSum_int_completedSinZeta, RCLike.instTietzeExtension, Matrix.IsHermitian.mulVec_eigenvectorBasis, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', zeta_nat_eq_tsum_of_gt_one, Matrix.l2_opNorm_def, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', UpperHalfPlane.tendsto_comap_im_ofComplex, Circle.coe_zpow, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Bornology.isVonNBounded_singleton, Matrix.toEuclideanLin_toLp, IsKrasner.of_completeSpace, 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, AddChar.expect_apply_eq_ite, LeftInvariantDerivation.toFun_eq_coe, Complex.reCLM_enorm, UpperHalfPlane.contMDiff_denom, Real.hasDerivAt_sinh, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, isClosedEmbedding_smul_left, Polynomial.toAddCircle_C_eq_smul_fourier_zero, 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, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Padic.instProperSpace, DirichletCharacter.LSeries_eulerProduct, Differentiable.const_cpow, integrable_cexp_quadratic', Complex.hasDerivWithinAt_sqrt, 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, RCLike.real_smul_eq_coe_mul, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, HasDerivAt.comp_add_const, ContinuousWithinAt.cexp, Bornology.isVonNBounded_of_smul_tendsto_zero, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, Complex.frontier_reProdIm, RCLike.ofRealAm_coe, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, ContinuousAlternatingMap.prodLIE_symm_apply, E2_mdifferentiable, DifferentiableOn.hasDerivAt, Summable.multipliableUniformlyOn_nat_one_add, 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, PeriodPair.ω₁_mem_lattice, ContDiff.fderiv, SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, Complex.log_inv_eq_integral, OnePoint.isZeroAt_iff, AnalyticOnNhd.eval_continuousLinearMap', UnitAddTorus.span_mFourierLp_closure_eq_top, fderivWithin_comp_smul, ZMod.LFunction_dft, ContDiffOn.cexp, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, instSMulCommClass_closedBall_closedBall_closedBall, contDiffOn_iff_continuousOn_differentiableOn_deriv, PeriodPair.analyticOnNhd_weierstrassP, ContinuousLinearMap.flipₗᵢ_symm, HasFPowerSeriesAt.compContinuousLinearMap, HurwitzZeta.hasSum_int_completedHurwitzZetaEven, EuclideanSpace.nndist_single_same, Complex.differentiableAt_cos, cfcHom_eq_of_isStarNormal, 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, Unitization.continuous_fst, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, FormalMultilinearSeries.rightInv_coeff_one, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay, hasFDerivAt_exp, Pi.orthonormalBasis_repr, fderiv_continuousAlternatingMap_apply_const_apply, RCLike.hasSum_conj', DifferentiableAt.cpow, MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, Complex.frontier_setOf_im_le, differentiableAt_iff_comp_sub_const, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Complex.range_exp_mul_I, LinearMap.polar_mem, complexOfReal_derivWithin, MeromorphicOn.divisor_mul, LinearMap.isAdjointPair_inner, Circle.coe_div, ContinuousLinearMap.norm_holder_apply_apply_le, HasDerivWithinAt.log, DifferentiableOn.csin, upperHemicontinuous_spectrum, Complex.isUniformEmbedding_equivRealProd, hasDerivAt_conj_conj_iff, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, absorbent_ball_zero, tendsto_nhds_of_meromorphicOrderAt_nonneg, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, Circle.coe_one, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, constFormalMultilinearSeries_apply_succ, Polynomial.fourierCoeff_toAddCircle, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, 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, summable_pow_mul_cexp, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, WeakFEPair.Λ_residue_zero, ModularFormClass.hasSum_qExpansion, SchwartzMap.one_add_le_sup_seminorm_apply, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, MDifferentiableWithinAt.clm_prodMap, Seminorm.continuous_iff_continuous_comp, ContMDiffAt.clm_comp, BoundedContinuousFunction.char_add_eq_mul, constFormalMultilinearSeries_zero, HasStrictFDerivAt.continuousMultilinearMap_apply, Complex.isOpenMap_re, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, Real.hasDerivWithinAt_arccos_Iic, ContDiffBump.convolution_tendsto_right_of_continuous, 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, AbsoluteValue.isEquiv_iff_isHomeomorph, ContinuousMultilinearMap.curryFinFinset_apply, ContDiffAt.smulRight, NormedField.nhdsWithin_isUnit_neBot, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, MeromorphicAt.fun_inv, AlgebraNormClass.toSeminormClass, FormalMultilinearSeries.changeOriginSeriesTerm_bound, HasDerivWithinAt.sum, HasProd.norm, spectrum.subset_circle_of_unitary, summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexp, spectrum.subset_closedBall_norm, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, 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, Derivative.serreDerivative_mdifferentiable, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, HasFTaylorSeriesUpToOn.restrictScalars, isConformalMap_iff_is_complex_or_conj_linear, HasDerivAtFilter.neg, ContinuousLinearMap.apply_apply, RCLike.span_one_I, PeriodPair.ω₂_mem_lattice, DirichletCharacter.differentiable_LFunctionTrivChar₁, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, algebraMap_cobounded_le_cobounded, 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, MDifferentiable.prod, ContDiff.continuous_iteratedDeriv', UpperHalfPlane.hasStrictFDerivAt_smul, ContinuousLinearMapWOT.tendsto_iff_forall_dual_apply_tendsto, inner_gradient_right, hasDerivAt_exp_smul_const_of_mem_ball, 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, Matrix.PosDef.posDef_sqrt, WeakFEPair.Λ_residue_k, integrable_cexp_neg_mul_sq, WithSeminorms.hasBasis_ball, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, derivWithin_clm_apply, smooth_functions_tower, Filter.BoundedAtFilter.prod, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, SchwartzMap.fourierMultiplierCLM_smul, finrank_euclideanSpace_fin, UpperHalfPlane.isOpen_upperHalfPlaneSet, Set.Finite.isVonNBounded, Real.hasStrictDerivAt_exp, continuousFunctionalCalculus_map_id, UpperHalfPlane.isEmbedding_coe, fourierCoeffOn_of_hasDeriv_right, HurwitzZeta.differentiable_completedSinZeta, HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEven, HasStrictDerivAt.congr_of_eventuallyEq, Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, HasCompactSupport.convolution_integrand_bound_right, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, Padic.isDenseInducing_cast_withVal, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_nhds_right, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, Complex.hasStrictDerivAt_sqrt, GromovHausdorff.eq_toGHSpace_iff, OrthonormalBasis.repr_reindex, NumberField.mixedEmbedding.measurable_polarSpaceCoord_symm, HasDerivAt.comp_semilinear, MeasureTheory.condExpL2_comp_continuousLinearMap, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, Finset.analyticAt_fun_prod, InnerProductSpace.symm_toEuclideanLin_rankOne, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, HasDerivAt.comp_sub_const, QuotientGroup.integral_mul_eq_integral_automorphize_mul, PeriodPair.derivWeierstrassPExcept_def, Complex.continuousAt_ofReal_cpow_const, ContMDiffAt.cle_arrowCongr, AnalyticOnNhd.eval_continuousLinearMap, circleMap_mem_sphere', HasDerivWithinAt.comp_hasFDerivAt_of_eq, Circle.argEquiv_apply_coe, MeasureTheory.memLp_re_im_iff, HasFDerivAt.clm_comp, ContinuousLinearMap.adjoint_innerSL_apply, EisensteinSeries.tsum_symmetricIco_tsum_eq_S_act, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, gaugeSeminorm_toFun, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, continuous_circleMap_inv, UpperHalfPlane.mdifferentiableAt_ofComplex, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_right, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, LSeries_eq_mul_integral', ContDiffMapSupportedIn.structureMapLM_apply, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, DifferentiableOn.of_dslope, HasDerivWithinAt.iterate, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, isBoundedLinearMap_prod_multilinear, fderivWithin_fun_mul, Differentiable.div, Orthonormal.inner_sum, Summable.hasSumUniformlyOn_log_one_add, HasCompactSupport.convolution_integrand_bound_right_of_subset, 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, hasDerivWithinAt_iff_tendsto, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, ContDiffWithinAt.div_const, balancedHull_convexHull_subseteq_absConvexHull, ContDiffAt.hasStrictDerivAt', WeakFEPair.differentiable_Λ₀, cyclotomicCharacter.continuous, RCLike.realLinearIsometryEquiv_apply, TemperedDistribution.laplacianCLM_apply, DifferentiableWithinAt.ccos, Unitary.spectrum_subset_circle, contMDiffWithinAt_hom_bundle, HasDerivAt.star_conj, continuousAt_gaussian_integral, Bornology.IsVonNBounded.insert, mem_contMDiffFiberwiseLinear_iff, Matrix.tracePositiveLinearMap_apply, Seminorm.continuousAt_zero, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, Complex.im_tsum, hasDerivAt_finCons, Differentiable.ccosh, coeFn_fourierLp, Complex.taylorSeries_eq_on_emetric_ball', RCLike.tendsto_ofReal_atTop_cobounded, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, 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, fderiv_norm_sq_apply, RCLike.imCLM_apply, ZMod.stdAddChar_apply, DirichletCharacter.continuousOn_neg_logDeriv_LFunctionTrivChar₁, hasStrictDerivAt_pow, HasStrictDerivAt.eventually_left_inverse, OrthonormalBasis.tensorProduct_repr_tmul_apply, Derivation.evalAt_apply, derivWithin_mem_iff, DirichletCharacter.differentiable_completedLFunction, Complex.continuousAt_tan, PositiveLinearMap.preGNS_norm_sq, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, AnalyticOnNhd.eqOn_zero_or_eventually_ne_zero_of_preconnected, cfc_setIntegral, HurwitzZeta.differentiableAt_expZeta, ContinuousMultilinearMap.isUniformEmbedding_restrictScalars, hasDerivAt_of_tendstoUniformlyOnFilter, Submodule.starProjection_tendsto_closure_iSup, hasFDerivAt_exp_of_mem_ball, MulAlgebraNorm.smul', 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, MulAlgebraNorm.extends_norm, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, HasFDerivAtFilter.hasDerivAtFilter, HasDerivAt.inv, 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, ContinuousMap.idealOpensGI_choice, HasMFDerivAt.const_smul, Complex.continuous_im, WeakDual.CharacterSpace.instStarHomClass, HasDerivAtFilter.fun_sum, IsCovariantDerivativeOn.finite_affine_combination, contDiff_prod, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, Circle.argPartialEquiv_apply, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, MeasureTheory.charFun_eq_integral_probChar, HasStrictDerivAt.ccos, 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, ContinuousMultilinearMap.continuous_restrictScalars, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, ApproximatesLinearOn.to_inv, TensorProduct.lidIsometry_symm_apply, 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, CStarMatrix.norm_def, ContMDiff.cle_arrowCongr, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, ContMDiffOn.clm_bundle_apply₂, differentiableWithinAt_Ioi_iff_Ici, HurwitzZeta.differentiableAt_sinZeta, ModularForm.multipliableLocallyUniformlyOn_eta, contDiff_succ_iff_hasFDerivAt, dist_lineMap_lineMap, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, integral_im, cfc_integral', DifferentiableAt.csin, balanced_iff_neg_mem, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, NumberField.mixedEmbedding.convexBodyLT'_convex, differentiableOn_zpow, fderivWithin_mul, HasDerivWithinAt.fun_inv, Bundle.ContinuousRiemannianMetric.isVonNBounded, 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, Finset.analyticOnNhd_fun_prod, hasSum_mellin_pi_mul_sq, Complex.continuousOn_one_add_mul_inv, WithSeminorms.hasBasis_zero_ball, fderiv_inner_apply, contDiff_one_iff_deriv, ContinuousLinearMap.hasDerivAt_of_bilinear, inner_matrix_col_col, MDifferentiableWithinAt.prod, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, HasFDerivAt.comp_hasDerivAt_of_eq, ContMDiff.coordChangeL, Finset.analyticOn_prod, Real.hasStrictDerivAt_log_of_pos, HasFDerivWithinAt.fun_mul, 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, AnalyticAt.hasStrictDerivAt, RCLike.complexLinearIsometryEquiv_apply, iter_deriv_pow, differentiableAt_iteratedDerivWithin_cexp, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, 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, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, hasFDerivAt_integral_of_dominated_loc_of_lip, IsClosed.reProdIm, PiTensorProduct.mapLMultilinear_toFun_apply, VectorField.mlieBracket_smul_right, CStarMatrix.inner_toCLM_conjTranspose_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, quasispectrum.instCompactSpace, fderiv_eq_smul_deriv, CStarMatrix.toCLM_apply_single_apply, BoundedContinuousFunction.char_apply, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, LinearMap.ker_toContinuousLinearMap, hasStrictFDerivAt_exp_smul_const_of_mem_ball, Complex.tendsto_exp_comap_re_atBot_nhdsNE, differentiable_circleMap, UpperHalfPlane.mdifferentiable_smul, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, Complex.conjCAE_toLinearMap, ModularForm.slash_apply, HurwitzZeta.tendsto_hurwitzZetaEven_sub_one_div_nhds_one, integrableOn_exp_mul_complex_Ioi, NormedSpace.exp_add, Seminorm.uniformity_eq_of_hasBasis, contMDiffOn_iff_localFrame_coeff, Complex.isClosed_range_intCast, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, WithSeminorms.finset_sups, 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, 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, HurwitzZeta.hurwitzZetaEven_residue_one, HasStrictDerivAt.star, tendsto_zero_geometric_tsum_pnat, RCLike.geometric_hahn_banach_open_point, FormalMultilinearSeries.comp_assoc, HasFPowerSeriesWithinAt.comp, Complex.reCLM_apply, Real.hasDerivAt_negMulLog, continuousAt_dslope_of_ne, Complex.closure_setOf_im_lt, NumberField.mixedEmbedding.lintegral_comp_polarSpaceCoord_symm, PeriodPair.differentiableOn_derivWeierstrassPExcept, continuousMultilinearCurryFin1_apply, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, UpperHalfPlane.petersson_slash, deriv_id', hasStrictFDerivAt_euclidean, EisensteinSeries.tsum_symmetricIco_tsum_sub_eq, hasFDerivAt_finset_prod, fourierCoeff_fourier, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, HilbertBasis.finite_spans_dense, toMeromorphicNFOn_eqOn_codiscrete, HasStrictDerivAt.fun_pow, norm_iteratedFDeriv_clm_apply_const, LinearIsometry.adjoint_comp_self

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
mul_comm 📖	mathematical	—	NonUnitalNonAssocSemiring.toMul NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring SeminormedRing.toRing toSeminormedRing	—	—

SeminormedRing

Definitions

Name	Category	Theorems
induced 📖	CompOp	2 math math: NormOneClass.induced, NormMulClass.induced
toNonUnitalSeminormedRing 📖	CompOp	69 math math: unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, RingHom.compLeftContinuousBounded_apply_apply, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, List.nnnorm_prod, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, List.nnnorm_prod_le', ContinuousLinearMap.opNorm_lsmul_apply_le, nndist_smul₀, norm_sub_mul_le', nnnorm_algebraMap_nnreal, isBoundedBilinearMap_mul, ContinuousLinearMap.mulLeftRight_apply, hasFDerivAt_ringInverse, nnnorm_smul, List.nnnorm_prod_le, RingHomIsometric.enorm_map, NormedAlgebra.exists_isMinOn_norm_sub_smul, ContinuousLinearMap.lsmul_flip_inj, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, fderiv_inverse, fderivWithin_inv', nnnorm_natAbs, nnnorm_algebraMap, nnnorm_pow, ContinuousLinearMap.lsmul_apply, nnnorm_pow_le, RingHomIsometric.nnnorm_map, FormalMultilinearSeries.ofScalars_norm_le, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, ContinuousMap.nnnorm_smul_const, IsUltrametricDist.nnnorm_add_one_le_max_nnnorm_one, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, nnnorm_intCast_abs, edist_smul₀, NormedAlgebra.instRegularNormedAlgebra, hasStrictFDerivAt_ringInverse, nnnorm_pow_le', TrivSqZeroExt.nnnorm_def, spectrum.hasFDerivAt_resolvent, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, nnnorm_algebraMap', ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, ContinuousLinearMap.opNorm_lsmul_le, instENormSMulClass, TrivSqZeroExt.nnnorm_inl, Matrix.linfty_opNormOneClass, isBoundedBilinearMap_smul, IsUltrametricDist.nnnorm_intCast_le_one, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, nnnormHom_apply, nnnorm_commutator_units_sub_one_le, IsUltrametricDist.nnnorm_natCast_le_one, nnnorm_sub_mul_le, norm_commutator_units_sub_one_le, hasStrictFDerivAt_inv', ContinuousMap.norm_smul_const, ContinuousLinearMap.opNorm_mulLeftRight_le, enorm_pow, ContinuousLinearMap.opNorm_lsmul, norm_sub_mul_le, hasFDerivAt_inv', nnnorm_sub_mul_le', BoundedContinuousFunction.coe_npowRec, toRingSeminorm_apply, FormalMultilinearSeries.ofScalars_norm_eq_mul, ContinuousMultilinearMap.norm_mkPiAlgebraFin, HolderWith.smul_iff, FormalMultilinearSeries.ofScalars_norm, fderiv_inv'
toNorm 📖	CompOp	129 math math: List.norm_prod_le, Asymptotics.IsBigO.of_pow, Filter.BoundedAtFilter.mul, norm_natCast_eq_mul_norm_one, Polynomial.exists_eq_supNorm, Asymptotics.IsBigO.mul_atTop_rpow_natCast_of_isBigO_rpow, Asymptotics.IsBigOWith.pow, IsUltrametricDist.norm_intCast_le_one, MulAlgebraNorm.extends_norm', ContinuousLinearMap.opNorm_lsmul_apply_le, IsUltrametricDist.norm_add_one_le_max_norm_one, Asymptotics.IsBigO.const_mul_left, Asymptotics.IsLittleO.mul, Asymptotics.isBigO_const_mul_left_iff', Asymptotics.IsBigOWith.const_smul_self, TrivSqZeroExt.instNormOneClass, AlgebraNorm.extends_norm, norm_pow, norm_sub_mul_le', Multipliable.norm, List.norm_prod_le', AlgebraNormClass.map_smul_eq_mul, Asymptotics.IsLittleO.pow, Asymptotics.IsLittleO.of_const_mul_right, Asymptotics.IsBigO.listProd, norm_algebraMap_nnreal, Asymptotics.isBigOWith_self_const_mul', NormMulClass.toNormSMulClass_op, norm_pow_le, ContinuousMultilinearMap.opNorm_smul_le, normHom_apply, Asymptotics.IsLittleO.const_mul_right', Asymptotics.IsBigOWith.of_pow, Asymptotics.IsBigOWith.const_smul_left, NormedAlgebra.exists_isMinOn_norm_sub_smul, TrivSqZeroExt.norm_def, norm_natCast, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, PiLp.instNormSMulClass, tendsto_pow_atTop_nhds_zero_iff_norm_lt_one, Seminorm.smul', contraction_of_isPowMul, Asymptotics.IsBigOWith.pow', Polynomial.le_supNorm, Asymptotics.IsLittleO.multisetProd, AlgebraNorm.smul', NormSMulClass.of_nnnorm_smul, SubringClass.toNormMulClass, Asymptotics.IsBigO.mul, Asymptotics.IsLittleO.const_mul_left, norm_natAbs, dist_eq, norm_intCast_abs, eventually_norm_pow_le, mem_balancedHull_iff, PadicInt.mahlerTerm_one, NormOneClass.induced, RingHomIsometric.ids, Asymptotics.isBigOWith_of_eq_mul, Multipliable.norm_tprod, NormMulClass.induced, Asymptotics.IsBigO.mul_atTop_rpow_of_isBigO_rpow, Polynomial.supNorm_monomial, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, Polynomial.supNorm_C, Asymptotics.IsBigO.multisetProd, Matrix.linftyOpNormSMulClass, Polynomial.supNorm_def', WithLp.normSMulClassSeminormedAddCommGroupToProd, PiLp.normSMulClassSeminormedAddCommGroupToPi, Asymptotics.IsBigO.finsetProd, norm_prod, Asymptotics.IsBigO.mul_isLittleO, norm_algebraMap, Prod.instNormSMulClass, TrivSqZeroExt.norm_inl, Asymptotics.isBigO_const_mul_right_iff', MulAlgebraNormClass.map_smul_eq_mul, Asymptotics.IsBigOWith.of_const_mul_right, SeminormClass.map_smul_eq_mul, Pi.instNormSMulClass, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, Asymptotics.isBigO_self_const_mul', norm_mul_le, WithLp.instProdNormSMulClass, Matrix.normSMulClass, NormedAlgebra.norm_smul_le, Asymptotics.IsBigOWith.const_mul_right', Ideal.Quotient.norm_mk_lt, Asymptotics.isLittleO_const_mul_left_iff', AlgebraNorm.extends_norm', Asymptotics.IsLittleO.listProd, spectralValue_X_sub_C, Asymptotics.isBigO_const_mul_self, IsUltrametricDist.norm_natCast_le_one, Nat.norm_cast_le, SubringClass.toNormOneClass, Matrix.frobeniusNormSMulClass, dist_smul₀, norm_pow_le', norm_intCast_eq_abs_mul_norm_one, Asymptotics.isBigOWith_const_mul_self, Polynomial.isGreatest_supNorm, Asymptotics.IsLittleO.finsetProd, norm_commutator_units_sub_one_le, Algebra.norm_smul_one_eq_norm, RingHomIsometric.inv, dist_algebraMap, List.norm_prod, norm_algebraMap', Asymptotics.IsLittleO.mul_isBigO, Asymptotics.IsBigO.pow, Polynomial.supNorm_eq_iSup, Asymptotics.IsBigO.const_mul_right', Asymptotics.IsBigOWith.const_mul_left, Seminorm.comp_smul_apply, norm_sub_mul_le, spectralValueTerms_of_lt_natDegree, Ideal.Quotient.norm_mk_le, ULift.instNormSMulClass, Asymptotics.IsBigOWith.mul, toRingSeminorm_apply, Asymptotics.isLittleO_const_mul_right_iff', Asymptotics.IsBigO.of_const_mul_right, HasProd.norm, Filter.BoundedAtFilter.prod, Asymptotics.IsLittleO.of_pow, MulAlgebraNorm.smul', MulAlgebraNorm.extends_norm
toPseudoMetricSpace 📖	CompOp	4928 math math: ArithmeticFunction.vonMangoldt.residueClass_eq, Unitary.openPartialHomeomorph_source, Polynomial.fderiv, logDeriv_tprod_eq_tsum, Matrix.l2_opNorm_toEuclideanCLM, Pi.comul_eq_adjoint, LinearMap.subset_bipolar, LinearMap.det_toContinuousLinearMap, HasDerivAt.fun_neg, ValueDistribution.logCounting_zero, instSeparatingDual, hasFDerivAt_iff_hasDerivAt, TestFunction.lineDerivCLM_apply_of_le, absorbent_iff_eventually_nhdsNE_zero, HurwitzZeta.hasSum_int_hurwitzZetaOdd, iteratedDeriv_scomp_two, HasDerivAt.isLittleO, LinearMap.IsSymmetric.clm_adjoint_eq, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, Real.hasDerivAt_arccos, ContinuousMap.toLp_inj, AbsoluteValue.IsEquiv.isEmbedding_equivWithAbs, WeakFEPair.differentiableAt_Λ, HasSum.exp, TemperedDistribution.lineDerivOpCLM_eq, continuousSMul_sphere_ball, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, MeasureTheory.Lp.toTemperedDistributionCLM_apply, fderiv_iteratedFDeriv, Orientation.kahler_map_complex, Polynomial.differentiableWithinAt, HasStrictDerivAt.fun_pow', DifferentiableOn.zpow, FormalMultilinearSeries.comp_rightInv_aux1, tendsto_zero_iff_meromorphicOrderAt_pos, AnalyticAt.tendsto_mul_logDeriv_simple_zero, UpperHalfPlane.mdifferentiable_num, NormedSpace.exp_neg_of_mem_ball, hasSum_mellin_pi_mul_sq', Complex.cos_eq_tsum, ContinuousAt.inner, LinearMap.mkContinuous₂_norm_le', NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal, HasDerivWithinAt.clog_real, ContinuousMultilinearMap.norm_mkPiRing, ProbabilityTheory.integrable_cexp_mul_of_re_mem_integrableExpSet, NormedSpace.exp_continuous, ContinuousLinearMap.derivWithin_of_bilinear, HasDerivWithinAt.clm_comp, NormedSpace.isBounded_polar_of_mem_nhds_zero, HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div, Valued.instIsUltrametricDist, TensorProduct.enorm_lid, HasDerivWithinAt.congr_of_mem, topDualPairing_isContPerfPair, differentiableAt_comp_neg, continuousAt_const_cpow, hasDerivWithinAt_Iio_iff_Iic, HasStrictFDerivAt.fun_mul', HasDerivAt.ccos, MeromorphicOn.codiscrete_setOf_meromorphicOrderAt_eq_zero_or_top, LinearMap.mkContinuous₂_apply, Matrix.frobenius_nnnorm_mul, ZMod.differentiableAt_LFunction, AffineMap.hasStrictDerivAt_lineMap, ContinuousLinearMap.isPositive_iff_eq_sum_rankOne, Complex.differentiableAt_sin, Complex.tendsto_log_nhdsWithin_im_neg_of_re_neg_of_im_zero, HasMFDerivAt.mul, HasFDerivWithinAt.ccosh, Bundle.ContMDiffRiemannianMetric.contMDiff, Complex.norm_circleTransformBoundingFunction_le, continuousOn_stereoToFun, InnerProductSpace.isPositive_rankOne_self, ModularForm.smul_slash, Seminorm.absorbent_closedBall_zero, HasDerivAt.const_rpow, LeftInvariantDerivation.lift_zero, RingHom.compLeftContinuousBounded_apply_apply, Complex.isOpen_re_lt_EReal, hasSum_geometric_of_norm_lt_one, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, norm_cfcₙHom, HasFDerivWithinAt.continuousMultilinearMap_apply, RCLike.map_apply, MDifferentiableOn.clm_postcomp, differentiable_const_cpow_of_neZero, NumberField.mixedEmbedding.normAtComplexPlaces_mixedSpaceOfRealSpace, hasDerivWithinAt_ofNat, ContinuousLinearMap.analyticWithinAt_bilinear, Complex.restrictScalars_one_smulRight', Differentiable.csin, Matrix.frobeniusIsBoundedSMul, HasCompactSupport.convolution_integrand_bound_left, ContinuousLinearMap.compSL_apply, completedZeta_eq_tsum_of_one_lt_re, Complex.continuousOn_exp, ContinuousLinearMap.continuous₂, RCLike.geometric_hahn_banach_point_open, HasDerivAt.const_sub, hasDerivWithinAt_add_const_iff, IsSelfAdjoint.quasispectrumRestricts, LinearMap.coe_toSeminorm, FormalMultilinearSeries.comp_partialSum, CuspFormClass.holo, MeasureTheory.Integrable.bdd_mul', HasDerivAtFilter.sum, NumberField.mixedEmbedding.lintegral_comp_polarCoord_symm, HasFDerivWithinAt.ccos, Matrix.IsHermitian.isClosedEmbedding_cfcAux, InnerProductSpace.toLinearIsometry_toDual, HasStrictDerivAt.to_localInverse, RCLike.ofRealCLM_apply, SchwartzMap.integral_sesq_fourier_fourier, Bornology.isVonNBounded_iff_tendsto_smallSets_nhds, MeasureTheory.Integrable.fin_nat_prod, PowerSeries.IsRestricted.smul, HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div, GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I, ModularFormClass.differentiableAt_comp_ofComplex, PeriodPair.hasFPowerSeriesAt_weierstrassPExcept, Real.hasFDerivAt_fourierChar_neg_bilinear_left, HasDerivWithinAt.Iio_of_Iic, LinearMap.toLinearMap_tracePositiveLinearMap, hasStrictDerivAt_intCast, NormedRing.inverse_one_sub_norm, LeftInvariantDerivation.leibniz, Ideal.toCharacterSpace_apply_eq_zero_of_mem, MeasureTheory.convolution_eq_right', hasStrictFDerivAt_exp_of_mem_ball, EisensteinSeries.hasSum_e2Summand_symmetricIcc, hasFDerivAt_iff_hasGradientAt, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn, RCLike.reCLM_apply, HasStrictDerivAt.rpow, NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos, HurwitzZeta.differentiableAt_hurwitzZetaEven, TendstoLocallyUniformlyOn.div₀, curveIntegral_smul, NormedSpace.exp_zsmul, Real.fourierCoeff_tsum_comp_add, ModularFormClass.qExpansionFormalMultilinearSeries_apply_norm, RCLike.separate_convex_open_set, derivWithin_smul, NumberField.canonicalEmbedding.mem_span_latticeBasis, Differentiable.fun_div, MeasureTheory.MemLp.const_mul, hasStrictFDerivAt_list_prod_finRange', Filter.Tendsto.cfc, InnerProductSpace.rankOne_one_left_eq_innerSL, PeriodPair.hasSumLocallyUniformly_weierstrassP, Subalgebra.spectrum_sUnion_connectedComponentIn, ContMDiffMap.coeFnAlgHom_apply, Function.FactorizedRational.divisor, MDifferentiableAt.prod, NormedSpace.expSeries_summable_of_mem_ball, hasDerivAt_sqrt_mul_log, StrongDual.norm_extendRCLike, LSeries.term_sum, ContinuousLinearMap.continuous_det, HurwitzZeta.hasSum_int_cosKernel₀, HasFiniteFPowerSeriesAt.neg, Complex.isOpenMap_im, HasStrictFDerivAt.csin, HurwitzZeta.hasSum_int_hurwitzZetaEven, ContinuousLinearMap.opNorm_bound_of_ball_bound, Complex.ofRealCLM_coe, Complex.kahler, Complex.norm_polarCoord_symm, ContinuousLinearMap.map_add_add, SeminormFamily.basisSets_smul_right, HasFDerivWithinAt.pow, WeakDual.isCompact_polar, MeromorphicOn.divisor_fun_smul, finrank_real_complex_fact', Real.tsum_eq_tsum_fourier, PeriodPair.deriv_weierstrassP, nnnorm_cfc_lt, FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite, HasDerivWithinAt.div_const, Real.hasDerivAt_sigmoid, ContDiffMapSupportedIn.seminorm_monoLM_eq, PeriodPair.coeff_weierstrassPExceptSeries, fderivWithin_fun_smul, Polynomial.derivWithin_aeval, ContinuousMultilinearMap.norm_iteratedFDerivComponent_le, NormedSpace.Dual.isClosed_image_polar_of_mem_nhds, Metric.unitSphere.coe_one, HasDerivWithinAt.congr_mono, complexOfReal_hasDerivWithinAt, ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, AffineMap.hasDerivAtFilter, ContinuousLinearEquiv.toCompactConvergenceCLM_symm_apply, PositiveLinearMap.apply_le_of_isSelfAdjoint, Matrix.IsHermitian.det_abs, uniformCauchySeqOn_ball_of_deriv, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, ContDiffMapSupportedIn.norm_iteratedFDeriv_apply_le_seminorm, Complex.comap_exp_cobounded, TendstoLocallyUniformlyOn.inv₀, hasDerivAt_integral_of_dominated_loc_of_lip, ContinuousLinearMapWOT.le_nhds_iff_forall_inner_apply_le_nhds, differentiableAt_zpow, hasFDerivAt_multiset_prod, Filter.Tendsto.exp, MDifferentiableAt.cle_arrowCongr, Absorbs.eventually_nhds_zero, BoundedContinuousFunction.algebraMap_apply, spectrum.subset_closedBall_norm_mul, continuousSMul_sphere_sphere, derivWithin_id', spectrum.instCompactSpace, geom_series_mul_shift, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, has_pointwise_sum_fourier_series_of_summable, ContinuousLinearMap.continuousSMul, hasFTaylorSeriesUpToOn_top_iff_right, DirichletCharacter.LSeries_eulerProduct_tprod, DifferentiableAt.mul, MeasureTheory.Lp.const_smul_mem_Lp, smoothSheafCommRing.nonunits_stalk, LSeries.term_convolution', CuspFormClass.zero_at_infty_comp_ofComplex, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, PeriodPair.derivWeierstrassPExcept_sub, ContinuousMultilinearMap.analyticAt_uncurry_of_linear, tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeries, deriv_mem_iff, norm_jacobiTheta₂_term_fderiv_ge, Matrix.spectrum_toEuclideanLin, NumberField.canonicalEmbedding.latticeBasis_apply, Polynomial.isLittleO_cobounded_of_degree_lt, Complex.integral_comp_pi_polarCoord_symm, FormalMultilinearSeries.radius_pi_eq_iInf, CFC.tendsto_cfc_rpow_sub_one_log, SchwartzMap.pairing_apply_apply, InnerProductSpace.isIdempotentElem_rankOne_self, ContDiffMapSupportedIn.iteratedFDerivLM_apply, Matrix.cstar_nnnorm_def, Differentiable.clm_comp, Padic.withValUniformEquiv_norm_le_one_iff, hasSum_choose_mul_geometric_of_norm_lt_one, derivWithin_mul_const, summableLocallyUniformlyOn_iteratedDerivWithin_cexp, tendsto_cobounded_iff_meromorphicOrderAt_neg, HasDerivWithinAt.eventually_ne, HasDerivWithinAt.cosh, Real.hasStrictDerivAt_rpow_const_of_ne, Matrix.IsHermitian.cfc_eq, tsum_coe_mul_geometric_of_norm_lt_one', lp.inner_eq_tsum, 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, PeriodPair.ω₁_div_two_notMem_lattice, DifferentiableAt.div, NormedSpace.invOf_exp_of_mem_ball, OrthonormalBasis.sum_inner_mul_inner, FormalMultilinearSeries.changeOriginSeriesTerm_apply, Matrix.l2_opNorm_mulVec, range_circleMap, Asymptotics.isLittleOTVS_one, Filter.inv_nhdsWithin_ne_zero, 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, 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, RCLike.conjCLE_norm, ordinaryHypergeometric_radius_top_of_neg_nat₃, HasFPowerSeriesOnBall.add, HasDerivWithinAt.complexToReal_fderiv', Orientation.kahler_comp_rightAngleRotation', circleIntegral_def_Icc, DifferentiableAt.fun_inv, mdifferentiableAt_iff_localFrame_coeff, tendsto_zpow_nhdsNE_zero_cobounded, integrableOn_cfc', ContinuousMap.toLp_denseRange, IsCovariantDerivativeOn.difference_apply, OpenPartialHomeomorph.hasDerivAt_symm, WeakDual.isClosed_image_polar_of_mem_nhds, Seminorm.ball_smul_closedBall, ContinuousLinearMap.integral_apply, one_add_cpow_hasFPowerSeriesAt_zero, Unitary.mem_pathComponentOne_iff, HasDerivAt.fun_finset_prod, circleIntegrable_iff, LinearMap.polar_eq_iInter, SchwartzMap.integral_clm_comp_lineDerivOp_right_eq_neg_left, MeasureTheory.MemLp.const_inner, DirichletCharacter.continuousOn_neg_logDeriv_LFunction_of_nontriv, Complex.tsum_exp_neg_mul_int_sq, not_integrableOn_Ioi_cpow, Real.fderiv_fourierChar_neg_bilinear_right_apply, ContMDiffCovariantDerivativeOn.affine_combination, UpperHalfPlane.analyticAt_smul, BoundedContinuousFunction.char_neg, UpperHalfPlane.isOpenEmbedding_coe, fderivWithin_fun_pow', norm_cfc_lt_iff, RCLike.linearIndependent_of_ne_zero_of_wInner_one_eq_zero, deriv_fun_finset_prod, HasFDerivWithinAt.clm_apply, Quaternion.continuous_imI, hasFPowerSeriesOnBall_pi_iff, Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eq, deriv_cpow_const, Units.nhds, UpperHalfPlane.deriv_smul, Continuous.convolution_integrand_fst, ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries, continuousOn_dslope, ContDiffMapSupportedIn.structureMapCLM_apply, iteratedFDerivWithin_succ_eq_comp_right, Complex.uniformlyContinuous_im, HasFPowerSeriesWithinAt.const_smul, Module.Dual.extendRCLikeₗ_symm_apply, BoundedContinuousFunction.char_zero_eq_one, SchwartzMap.lineDerivOp_fourier_eq, isClosedEmbedding_cfcₙAux, HasFDerivWithinAt.comp_hasDerivWithinAt_of_eq, LeftInvariantDerivation.coe_derivation, innerSL_apply_apply, RCLike.norm_expect_le, HasGradientAt.continuousOn, fderiv_multiset_prod, HasFPowerSeriesWithinOnBall.restrictScalars, SeminormFamily.filter_eq_iInf, SchwartzMap.integral_bilin_fourierInv_eq, LinearMap.adjoint_innerₛₗ_apply, TestFunction.toBoundedContinuousFunctionCLM_eq_of_scalars, inner_sum, HasFTaylorSeriesUpTo.hasFDerivAt, Function.Periodic.cuspFunction_zero_eq_limUnder_nhds_ne, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, UpperHalfPlane.comp_ofComplex_of_im_pos, hasDerivAt_neg', Unitary.conjStarAlgEquiv_unitaryLinearIsometryEquiv, ContinuousLinearMap.innerSL_apply_comp_of_isSymmetric, Unitization.splitMul_apply, ContMDiffOn.clm_postcomp, RCLike.geometric_hahn_banach_of_nonempty_interior_point, ContinuousLinearMap.toBilinForm_apply, RCLike.map_same_eq_id, iteratedDerivWithin_comp_two, ContinuousWithinAt.cpow, NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isComplex, MeasureTheory.MemLp.integrable_mul, tendsto_smul_comp_nat_floor_of_tendsto_mul, ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm, LinearMap.adjoint_eq_toCLM_adjoint, HasFDerivAt.fun_mul, Complex.continuousOn_arg, NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm, ContinuousMap.range_toLp, deriv_mul_const_field, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div, Rat.HeightOneSpectrum.adicCompletionIntegers.coe_padicIntEquiv_symm_apply, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay_of_summable, Matrix.toLinearMap_tracePositiveLinearMap, UpperHalfPlane.dist_le_iff_dist_coe_center_le, DifferentiableOn.deriv, LeftInvariantDerivation.left_invariant', selfAdjoint.expUnitaryPathToOne_apply, TemperedDistribution.fourierMultiplierCLM_smul, NormedRing.inverse_add_norm_diff_nth_order, hasDerivAt_bernoulliFun, Unitary.continuousOn_argSelfAdjoint, hasSum_one_div_nat_pow_mul_fourier, derivWithin_fderivWithin, two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even, WithLp.isBoundedSMulSeminormedAddCommGroupToProd, DifferentiableOn.cpow_const, deriv_fun_pow', MDifferentiableWithinAt.mul, MultilinearMap.mkContinuousMultilinear_apply, SchwartzMap.instContinuousSMul, deriv_csinh, Complex.UnitDisc.instSMulCommClass_closedBall_circle, HasFDerivWithinAt.complexOfReal, StrongDual.norm_extendRCLike_bound, TemperedDistribution.lineDerivOp_fourier_eq, Complex.frontier_setOf_re_le, PadicInt.norm_mahlerTerm, LinearMap.isSelfAdjoint_toContinuousLinearMap_iff, ContDiff.differentiable_deriv_two, HasProdUniformlyOn_sineTerm_prod_on_compact, Submodule.Quotient.instIsBoundedSMul, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_bounded_under, Polynomial.isCoveringMapOn_eval, Complex.ofRealCLM_norm, Complex.UnitDisc.instSMulCommClass_closedBall_left, HasDerivAt.comp_ofReal, DifferentiableAt.csinh, ProbabilityTheory.hasDerivAt_integral_pow_mul_exp, ContinuousLinearMap.opNorm_lsmul_apply_le, ContDiffMapSupportedIn.fderivLM_eq_of_scalars, StarAlgebra.elemental.characterSpaceToSpectrum_coe, Bornology.IsBounded.reProdIm, tsum_choose_mul_geometric_of_norm_lt_one', OrthonormalBasis.orthogonalProjection_eq_sum_rankOne, NumberField.mixedEmbedding.mem_idealLattice, fderiv_clm_comp, MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNE, 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, deriv_mul_const, IsConformalMap.is_complex_or_conj_linear, fderiv_continuousAlternatingMap_apply_const, HasGradientAt.hasDerivAt', AnalyticOnNhd.circleAverage_log_norm, DifferentiableAt.continuousAlternatingMapCompContinuousLinearMap, hasSum_coe_mul_geometric_of_norm_lt_one', AffineMap.hasDerivWithinAt, MeromorphicOn.divisor_const, HasDerivAt.clm_apply, LeftInvariantDerivation.left_invariant, ContDiffMapSupportedIn.seminorm_fderivLM_le, isUltrametricDist_iff_forall_norm_natCast_le_one, instSMulCommClass_sphere_sphere_sphere, ContinuousMultilinearMap.norm_compContinuousLinearMapLRight_le, ContDiffMapSupportedIn.seminorm_fderivLM_top, HasStrictDerivAt.of_local_left_inverse, ProbabilityTheory.integrable_rpow_mul_cexp_of_re_mem_interior_integrableExpSet, tsum_coe_mul_geometric_of_norm_lt_one, Complex.convexHull_reProdIm, NormedSpace.toIsBoundedSMul, Complex.logDeriv_tendsto, ContinuousAt.cfc, Real.hasDerivAt_sin, HasFPowerSeriesAt.neg, Complex.hasStrictDerivAt_tan, ContDiff.continuous_deriv_one, curveIntegralFun_smul, Bundle.Trivialization.localFrame_coeff_apply_of_notMem_baseSet, hasDerivAt_exp_zero_of_radius_pos, Complex.closure_preimage_im, MeasureTheory.charFun_toDual_symm_eq_charFunDual, hasDerivWithinAt_iff_isLittleO, GeneralSchauderBasis.proj_apply, ContinuousLinearEquiv.toCompactConvergenceCLM_apply, Differentiable.fun_inv, Filter.map_mul_left_cobounded, ContinuousAlternatingMap.piLIE_apply_apply, Differentiable.fderiv_norm_rpow, NumberField.InfiniteAdeleRing.algebraMap_apply, NormedSpace.isUnit_exp_of_mem_ball, UnitAddTorus.mFourierSubalgebra_coe, TemperedDistribution.smulLeftCLM_compL_smulLeftCLM, ContinuousLinearMap.integrable_of_bilin_of_bdd_left, hasDerivWithinAt_zero, HasStrictDerivAt.pow', TestFunction.monoCLM_eq_zero, iteratedDerivWithin_tsum_cexp_eq, hasDerivAt_star_conj_iff, ContDiffAt.hasStrictDerivAt, Complex.continuousWithinAt_log_of_re_neg_of_im_zero, UpperHalfPlane.σ_sq, MeasureTheory.Integrable.mul_prod, Complex.continuous_sin, FormalMultilinearSeries.hasSum_of_finite, differentiableWithinAt_inv, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto_ENNReal, hasDerivAtFilter_ofNat, VectorField.mlieBracket_smul_left, ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one, CFC.exp_log, Complex.exp_eq_exp_ℂ, FormalMultilinearSeries.changeOriginSeries_summable_aux₃, curveIntegrable_smul_iff, TensorProduct.toLinearEquiv_lidIsometry, NormedSpace.exp_series_hasSum_exp', HasStrictDerivAt.cpow, HasFPowerSeriesOnBall.restrictScalars, LinearMap.toContinuousLinearMap₁_coe, PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept, ContinuousLinearMap.isometry_mul_flip, PeriodPair.weierstrassP_coe, DifferentiableOn.fun_mul, AnalyticOnNhd.eval_linearMap', HasStrictFDerivAt.mul', inner_gradientWithin_right, fderiv_fun_pow, HasFPowerSeriesWithinAt.hasStrictFDerivWithinAt, ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective, HasStrictFDerivAt.comp_hasStrictDerivAt, ContinuousLinearMap.adjoint_id, Complex.hasStrictFDerivAt_exp_real, ClosedSubmodule.inf_orthogonal, LinearMap.coe_toContinuousLinearMap', HasFDerivWithinAt.linear_multilinear_comp, iteratedFDerivWithin_succ_eq_comp_left, hasStrictFDerivAt_exp_smul_const_of_mem_ball', MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.imPart, contDiffOn_iff_continuousOn_differentiableOn, Complex.isQuotientCoveringMap_npow, DifferentiableWithinAt.inverse, ContinuousLinearMap.isStarNormal_iff_norm_eq_adjoint, sum_cauchyPowerSeries_eq_integral, NumberField.mixedEmbedding.instIsAddHaarMeasureMixedSpaceVolume, SchwartzMap.laplacianCLM_eq, fderiv_fun_smul, CStarModule.innerSL_apply, monomial_has_deriv_aux, ContinuousLinearMap.hasDerivWithinAt_of_bilinear, continuous_equivFun_basis, DirichletCharacter.LSeries_twist_vonMangoldt_eq, LinearIsometryEquiv.conjStarAlgEquiv_apply, Bundle.ContinuousLinearMap.vectorBundle, HasDerivWithinAt.sub, PadicInt.mahlerTerm_apply, DifferentiableAt.clog, DifferentiableAt.zpow, LinearMap.toMatrixOrthonormal_reindex, MeasureTheory.ConvolutionExistsAt.integrable, Matrix.IsHermitian.eigenvalues_eq, HasStrictFDerivAt.pow, MeasureTheory.MemLp.prod, UnitAddTorus.mFourierSubalgebra_closure_eq_top, Real.hasDerivAt_mul_log, HasFDerivWithinAt.continuousMultilinearMapCompContinuousLinearMap, Filter.tendsto_ofReal_iff', norm_cfc_le_iff, iter_deriv_zpow', derivWithin_fun_mul, PadicInt.coe_sum, Complex.deriv_cos, TendstoLocallyUniformlyOn.fun_inv₀_of_disjoint, WithSeminorms.continuousSMul, Matrix.exp_conj', hasLineDerivAt_iff_isLittleO_nhds_zero, deriv.scomp_of_eq, Complex.not_differentiableAt_Gamma_neg_nat, Complex.differentiableOn_dslope, RCLike.borelSpace, Real.hasStrictDerivAt_sinh, TestFunction.continuous_iff_continuous_comp, MeasureTheory.integrable_const_mul_iff, HasFiniteFPowerSeriesOnBall.sum, HasStrictFDerivAt.const_mul, Distribution.IsVanishingOn.smulLeftCLM, ContinuousLinearMap.opNorm_mul_flip_apply, deriv_conj_conj, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, ConvexOn.univ_sSup_of_countable_affine_eq, IsUltrametricDist.of_normedAlgebra', Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzCone, RCLike.hasSum_ofReal, InnerProductSpace.inner_left_rankOne_apply, integral_mul_fderiv_eq_neg_fderiv_mul_of_integrable, TestFunction.toBoundedContinuousFunctionCLM_apply, RCLike.continuous_normSq, Complex.conjCAE_apply, uniformCauchySeqOnFilter_of_deriv, IsLocalFrameOn.coeff_apply_of_mem, OpenPartialHomeomorph.contDiffAt_symm_deriv, ModularForm.discriminant_bounded_factor, HasFDerivAt.finset_prod, hasStrictDerivAt_abs_pos, ContinuousLinearMap.smul_compLp, TendstoLocallyUniformly.fun_inv₀, hasDerivWithinAt_abs_pos, HasDerivWithinAt.sub_const, ContinuousLinearMap.norm_extendTo𝕜, Bundle.Trivialization.localFrame_coeff_congr, Matrix.exp_neg, Meromorphic.finsum, HasFPowerSeriesAt.add, HasFDerivAt.norm_sq, differentiable_descPochhammer_eval, ContinuousAlternatingMap.curryLeft_smul, derivWithin.scomp_of_eq, Complex.differentiableOn_sqrt, continuous_const_cpow, polynomialFunctions.starClosure_topologicalClosure, antideriv_bernoulliFun, NumberField.mixedEmbedding.commMap_apply_of_isComplex, innerₛₗ_apply_apply, hasFDerivWithinAt_inv, hasSum_nat_jacobiTheta, TemperedDistribution.fourierMultiplierCLM_compL_fourierMultiplierCLM, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn, NumberField.InfinitePlace.Completion.norm_coe, ContMDiffAt.clm_postcomp, ContMDiffWithinAt.clm_postcomp, iteratedDeriv_scomp_three, fderiv_fun_pow', hasDerivWithinAt_pi, differentiableOn_iteratedDerivWithin_cotTerm, smoothSheafCommRing.instLocalRing_stalk, Real.integrable_prod_sub, HasFDerivWithinAt.csin, MeromorphicAt.eq_nhdsNE_toMeromorphicNFAt, ContinuousLinearMap.eq_adjoint_iff, PeriodPair.hasSum_derivWeierstrassPExcept, PiTensorProduct.toDualContinuousMultilinearMap_apply_apply, Polynomial.div_tendsto_zero_iff_degree_lt, Differentiable.zpow, derivWithin.scomp, Complex.differentiableWithinAt_sqrt, MeasureTheory.continuous_charFun, Continuous.cfc', OrderedFinpartition.norm_compAlongOrderedFinpartitionL_apply_le, HasFPowerSeriesAt.comp, Complex.differentiableAt_GammaAux, HasFDerivAt.continuousMultilinear_apply_const, HasFDerivWithinAt.continuousAlternatingMap_apply, ContinuousLinearMap.IsPositive.smul_of_nonneg, gelfandStarTransform_naturality, InnerProductSpace.rankOne_apply, EuclideanSpace.nndist_eq, LinearMap.polar_singleton, FormalMultilinearSeries.sum_of_finite, MeromorphicOn.divisor_pow, summable_sum_mul_range_of_summable_norm', gelfandStarTransform_apply_apply, Filter.map_mul_right_cobounded, HasFTaylorSeriesUpToOn.zero_eq', SchwartzMap.compCLMOfContinuousLinearEquiv_apply, HarmonicAt.analyticAt_complex_partial, Complex.instPathConnectedSpaceUnits, Filter.inv_nhdsNE_zero, ContDiff.continuous_deriv, HasStrictDerivAt.clm_comp, NormedSpace.Dual.toWeakDual_continuous, TendstoLocallyUniformlyOn.fun_div₀, PiLp.isBoundedSMulSeminormedAddCommGroupToPi, WithSeminorms.withSeminorms_eq, HasDerivAt.continuousOn, HasFDerivWithinAt.const_mul, ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator, deriv_fun_inv'', AnalyticOn.hasFPowerSeriesOnSubball, MeasureTheory.convolution_integrand_bound_right_of_le_of_subset, ContinuousMap.toLp_norm_le, contMDiffOn_localFrame_coeff, ContDiffMapSupportedIn.monoLM_apply, HasDerivWithinAt.Iic_of_Iio, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, ContinuousMultilinearMap.norm_smulRightL_le, HasSummableGeomSeries.summable_geometric_of_norm_lt_one, tsum_geometric_of_norm_lt_one, derivWithin_clm_comp, ContinuousLinearMap.precompL_apply, Seminorm.closedBall_smul_ball, differentiableAt_comp_add_const, IsSelfAdjoint.adjoint_eq, Complex.continuousOn_cos, HasDerivAt.eventually_ne, ZMod.completedLFunction_def_even, HasDerivWithinAt.clm_apply, ContinuousMultilinearMap.norm_mkPiAlgebra_le, DifferentiableAt.hasDerivAt, RKHS.kernel_apply, HasDerivAt.finCons, RCLike.reCLM_norm, RCLike.geometric_hahn_banach_closed_point, MeasureTheory.AEStronglyMeasurable.inner_const, HasDerivWithinAt.sin, HasDerivAtFilter.add, Real.hasDerivAt_arcosh, Complex.tendsto_mul_log_one_add_of_tendsto, summableLocallyUniformlyOn_iteratedDerivWithin_cotTerm, Complex.isOpen_slitPlane, HasGradientAt.continuousAt, FormalMultilinearSeries.radius_le_smul, DirichletCharacter.deriv_LFunction_eq_deriv_LSeries, MeasureTheory.SignedMeasure.toComplexMeasure_apply, MDifferentiable.clm_postcomp, ModularForm.tsum_logDeriv_eta_q, EisensteinSeries.summable_left_one_div_linear_sub_one_div_linear, dist_inv_inv₀, Function.update_exp, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, CStarMatrix.toCLM_injective, ContinuousLinearMap.isPositive_self_comp_adjoint, tendsto_norm_inv_nhdsNE_zero_atTop, dslope_eventuallyEq_slope_nhdsNE, formalMultilinearSeries_geometric_apply_norm_le, HasDerivAt.cpow, LinearMap.adjoint_toContinuousLinearMap, StrongFEPair.differentiable_Λ, hasDerivAt_iff_isLittleO, DifferentiableAt.fun_finset_prod, Absorbs.eventually_nhdsNE_zero, spectrum.isOpen_resolventSet, NormedSpace.map_exp, HasDerivAt.arctan, Polynomial.toAddCircle_X_pow_eq_fourier, Unitization.sqrt_inr, HasDerivWithinAt.hasFDerivWithinAt, contMDiffOn_baseSet_iff_localFrame_coeff, HasDerivAt.sqrt, Continuous.cfc_nnreal', hasFPowerSeriesAt_const, HasFDerivAt.continuousMultilinearMapCompContinuousLinearMap, fderiv_eq_deriv_mul, UniformOnFun.continuousSMul_induced_of_image_bounded, HasFPowerSeriesOnBall.const_smul, ContinuousLinearMap.toSesqForm_apply_coe, MeromorphicOn.extract_zeros_poles_log, PadicAlgCl.isUltrametricDist, ContinuousLinearMap.cpolynomialOn_uncurry_of_multilinear, FormalMultilinearSeries.radius_compNeg, gelfandTransform_bijective, Polynomial.differentiableOn_aeval, SchwartzMap.integral_bilin_fourierIntegral_eq, Bundle.Trivialization.localFrame_coeff_eq_coeff, Unitization.uniformContinuous_fst, IntervalIntegrable.mul_continuousOn, NormedRing.inverse_one_sub_nth_order, 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, ordinaryHypergeometricSeries_radius_eq_one, Polynomial.isEquivalent_cobounded_leading_monomial, Matrix.toEuclideanLin_apply, HasDerivAt.congr_of_eventuallyEq, HasFDerivWithinAt.mul, NormedSpace.isClosed_polar, VectorFourier.fourierPowSMulRight_eq_comp, HasFPowerSeriesOnBall.tendsto_partialSum_prod, ContinuousLinearMap.hasFDerivWithinAt_of_bilinear, NormedField.discreteTopology_or_nontriviallyNormedField, fderivWithin_const_mul, HasFDerivWithinAt.multiset_prod, Complex.tendsto_exp_nhds_zero_iff, fourier_norm, ContinuousLinearMap.opNorm_mul, DifferentiableOn.mul, Complex.uniformContinuous_im, ContDiffMapSupportedIn.fderivCLM_apply_of_gt, TestFunction.fderivCLM_apply_of_le, Complex.frontier_preimage_re, CuspForm.coe_trace, EisensteinSeries.e2Summand_summable, ContinuousAlternatingMap.constOfIsEmptyLIE_apply, ContinuousLinearMapWOT.le_nhds_iff_forall_dual_apply_le_nhds, image_circleMap_Ioc, TemperedDistribution.smulLeftCLM_neg, analyticOrderAt_eq_top, Real.hasStrictDerivAt_arccos, AnalyticAt.frequently_zero_iff_eventually_zero, RCLike.conjCLE_apply, TestFunction.lineDerivOpCLM_eq_lineDerivCLM, MDifferentiable.cle_arrowCongr, HasFTaylorSeriesUpTo.fderiv_eq, Complex.cexp_tsum_eq_tprod, Complex.reCLM_nnnorm, HasDerivAt.fun_pow', Function.Periodic.differentiableAt_cuspFunction, Unitization.nnnorm_def, Unitization.dist_inr, CFC.continuousOn_log, isScalarTower_closedBall_closedBall_closedBall, ContinuousLinearMap.hasFiniteFPowerSeriesOnBall_uncurry_of_multilinear, TestFunction.fderivCLM_ofSupportedIn, Complex.instContinuousStar, HasFDerivAt.fun_smul, NormedSpace.exp_hasFPowerSeriesOnBall, summable_finset_prod_of_summable_norm, ContinuousLinearMap.flipMultilinear_apply_apply, ContinuousMultilinearMap.uncurrySum_apply, NumberField.mixedEmbedding.negAt_preimage, HasLineDerivAt.tendsto_slope_zero_right, isScalarTower_sphere_closedBall_closedBall, Complex.hasDerivAt_GammaIntegral, NormedSpace.expSeries_summable, fderiv_continuousAlternatingMapCompContinuousLinearMap, HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope, MeromorphicOn.divisor_natCast, RCLike.wInner_cWeight_eq_expect, Complex.deriv_ofReal_cpow_const, UpperHalfPlane.comp_ofComplex, Complex.starConvex_ofReal_slitPlane, PiTensorProduct.mapL_smul, Complex.analyticOnNhd_univ_iff_differentiable, SchwartzMap.integral_sesq_fourier_eq, BoundedContinuousFunction.coe_toContinuousMapStarₐ, cfcL_integrable, NumberField.mixedEmbedding.fundamentalCone.volume_frontier_normLeOne, Complex.continuousAt_sqrt, ContinuousLinearMap.adjointAux_norm, CStarMatrix.norm_def', ContinuousOn.cfc_nnreal', IsGreatest.nnnorm_cfc_nnreal, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, HurwitzZeta.hasSum_nat_sinZeta, DifferentiableAt.fun_div, MDifferentiable.clm_bundle_apply₂, ValueDistribution.logCounting_top, LeftInvariantDerivation.lift_add, hasDerivAtFilter_natCast, binomialSeries_radius_eq_one, meromorphicOrderAt_ne_top_iff, MeasureTheory.LocallyIntegrableOn.continuousOn_mul, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, Pi.counit_eq_adjoint, ContinuousAlternatingMap.instContinuousSMul, HasDerivAt.comp_hasFDerivWithinAt, LinearMap.toMatrixOrthonormal_apply_apply, ContinuousLinearMap.hasStrictFDerivAt_of_bilinear, Complex.taylorSeries_eq_on_ball', deriv_fun_mul, DifferentiableOn.const_cpow, Complex.summable_conj, UpperHalfPlane.denom_cocycle_σ, VectorFourier.fourierIntegral_continuousLinearMap_apply, AnalyticAt.exists_eventuallyEq_sum_add_pow_mul, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace, HasGradientWithinAt.continuousWithinAt, MeasureTheory.Integrable.const_mul, Complex.continuousAt_arg, PeriodPair.latticeBasis_zero, FormalMultilinearSeries.ofScalars_radius_eq_inv_of_tendsto, ZMod.LFunction_def_odd, Asymptotics.IsLittleO.tendsto_div_nhds_zero, ContinuousOn.cfc, HasStrictFDerivAt.list_prod', summable_mul_of_bigO_atTop, SchwartzMap.fourier_lineDerivOp_eq, Complex.starConvex_one_slitPlane, LinearMap.toContinuousBilinearMap_apply, ContinuousLinearMapWOT.inducingFn_apply, meromorphicOrderAt_eq_top_iff, ModularForm.discriminant_isZeroAtImInfty, RCLike.iInter_countable_halfSpaces_eq, CStarMatrix.inner_toCLM_conjTranspose_left, hasStrictDerivAt_exp_smul_const, ContinuousMap.setOfIdeal_ofSet_of_isOpen, Filter.EventuallyEq.ftaylorSeries, isBoundedBilinearMap_comp, Complex.interior_setOf_le_re, 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, Finsupp.sum_inner, TemperedDistribution.fourierInv_lineDerivOp_eq, UpperHalfPlane.mdifferentiable_inv_denom, multipliable_one_add_of_summable, LeftInvariantDerivation.lift_smul, FormalMultilinearSeries.rightInv_removeZero, HasStrictDerivAt.csin, WithAbs.uniformSpace_comap_eq_of_comp, DifferentiableOn.cpow, geom_series_succ, Asymptotics.isLittleO_pow_pow, ContinuousAlternatingMap.ofSubsingletonLIE_symm_apply, ClosedSubmodule.orthogonal_closure'', HasDerivWithinAt.comp, hasStrictDerivAt_exp_smul_const', HasStrictDerivAt.map_nhds_eq, Complex.hasStrictFDerivAt_cpow', MDifferentiableAt.mul, NumberField.mixedEmbedding.negAt_signSet_apply_isComplex, NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closure, Real.fourier_iteratedFDeriv, Differentiable.ccos, HasDerivAt.add, SchwartzMap.smulLeftCLM_real_smul, uniqueDiffWithinAt_iff_accPt, InnerProductSpace.toDualMap_apply_apply, Differentiable.cexp, HasMFDerivAt.smul, Orientation.kahler_eq_zero_iff, AddChar.sum_apply_eq_ite, EulerProduct.eulerProduct_completely_multiplicative, PositiveLinearMap.preGNS_norm_def, HasStrictDerivAt.div, tsum_geometric_le_of_norm_lt_one, UpperHalfPlane.dist_eq_iff_eq_sinh, hasDerivAtFilter_zero, Complex.integral_comp_polarCoord_symm, Complex.uniformContinuous_re, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, PeriodPair.ω₂_div_two_notMem_lattice, derivWithin_zpow, Filter.EventuallyEq.hasDerivWithinAt_iff_of_mem, UnitAddTorus.mFourierCoeff_toLp, WeakDual.toStrongDual_inj, DifferentiableOn.csinh, Metric.unitSphere.coe_mul, HurwitzZeta.differentiable_expZeta_of_ne_zero, AntitoneOn.derivWithin_nonpos, Real.hasDerivAt_arsinh, ContinuousLinearMap.mulLeftRight_apply, MDifferentiableAt.pow, isModuleTopologyOfFiniteDimensional, PeriodPair.hasSum_derivWeierstrassP, Differentiable.pow, curveIntegral_fun_smul, FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum, fromTangentSpace_mfderiv_smul_apply, ContinuousAt.of_dslope, PeriodPair.compl_lattice_diff_singleton_mem_nhds, NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq, DifferentiableAt.const_cpow, 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, deriv_fun_smul, ProbabilityTheory.integrable_rpow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, iteratedFDeriv_comp_const_smul, HasStrictDerivAt.arctan, MeasureTheory.MemLp.inner_const, HasStrictDerivAt.mul, LSeries_deriv_eqOn, ContDiffOn.continuousOn_iteratedDerivWithin, ContinuousLinearMap.deriv, hasStrictFDerivAt_multiset_prod, Bundle.Trivialization.eq_sum_localFrame_coeff_smul, 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, Bornology.isVonNBounded_iff_absorbing_le, MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq, UpperHalfPlane.ofComplex_apply_of_im_nonpos, ContDiffMapSupportedIn.monoLM_eq_of_scalars, hasDerivAt_abs_neg, Orientation.kahler_swap, coe_innerSL_apply, fderivWithin_finset_prod, NumberField.tendsto_sub_one_mul_dedekindZeta_nhdsGT, HasDerivAt.pow, Real.deriv_sqrt_aux, deriv_fderiv, summable_mul_of_summable_norm, IsOpen.reProdIm, PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept, RegularNormedAlgebra.isometry_mul', Complex.frontier_setOf_im_lt, Matrix.exp_add_of_commute, cauchyPowerSeries_apply, summable_eisSummand, WithAbs.instUniformContinuousConstSMulReal, HasStrictDerivAt.real_of_complex, Asymptotics.isBigO_pow_pow_cobounded_of_le, ModularFormClass.continuous, Matrix.PosSemidef.det_sqrt, CStarMatrix.toCLMNonUnitalAlgHom_eq_toCLM, TemperedDistribution.instFourierSMul, FormalMultilinearSeries.norm_apply_eq_norm_coef, range_cfcₙHom, Complex.tendsto_one_add_cpow_exp_of_tendsto, MDifferentiableWithinAt.clm_bundle_apply₂, HasDerivAt.differentiableAt, TestFunction.limitCLM_apply, Complex.isConnected_of_lowerHalfPlane, hasDerivWithinAt_abs, hasFPowerSeriesOnBall_const, tendsto_cobounded_of_meromorphicOrderAt_neg, HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re, EisensteinSeries.summable_inv_of_isBigO_rpow_inv, TensorProduct.lidIsometry_apply, HasFDerivAt.clm_apply, HasStrictDerivAt.const_mul, ContDiffMapSupportedIn.seminorm_le_iff, Unitary.openPartialHomeomorph_symm_apply, MeasureTheory.StronglyMeasurable.inner, NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis, HasDerivWithinAt.csinh, ContinuousLinearMap.hasDerivAt, hasDerivAt_of_tendstoUniformly, DifferentiableAt.star_conj, Complex.tendsto_exp_comap_re_atTop, convex_halfSpace_re_le, Complex.reCLM_coe, PadicInt.fwdDiff_tendsto_zero, Complex.deriv_Gamma_add_one, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux', EuclideanSpace.dist_single_same, EulerProduct.eulerProduct_hasProd, Complex.continuous_re, NumberField.InfinitePlace.Completion.isometry_extensionEmbedding, hasFDerivAt_ringInverse, ContinuousMultilinearMap.opNorm_smul_le, HasFDerivAt.continuousAlternatingMap_apply, MeasureTheory.convolution_precompR_apply, Complex.differentiableOn_update_limUnder_of_isLittleO, WeakDual.coe_toStrongDual, NormedSpace.eq_zero_iff_forall_dual_eq_zero, SchwartzMap.compSubConstCLM_apply, Filter.inv_cobounded₀, Matrix.linfty_opNNNorm_eq_opNNNorm, VectorFourier.fourierIntegral_iteratedFDeriv, DifferentiableWithinAt.mul, UpperHalfPlane.contMDiff_coe, PadicInt.compactSpace, InformationTheory.hasDerivAt_klFun, CuspForm.holo', InnerProductSpace.nnnorm_rankOne, contDiffOn_one_iff_derivWithin, PeriodPair.mem_lattice, fderiv_smul, BoundedContinuousFunction.mem_charPoly, spectrum.gelfandTransform_eq, Orientation.kahler_comp_rightAngleRotation, EisensteinSeries.tsum_symmetricIco_linear_sub_linear_add_one_eq_zero, BoundedContinuousFunction.charAlgHom_apply, LeftInvariantDerivation.comp_L, HasDerivAt.fun_pow, ArithmeticFunction.vonMangoldt.residueClass_apply, hasDerivAt_of_tendstoLocallyUniformlyOn, hasDerivAtFilter_iff_tendsto_slope, ContinuousLinearMap.norm_toSpanSingleton, AffineMap.differentiableWithinAt, FormalMultilinearSeries.continuousOn_of_finite, ContinuousAt.cexp, Matrix.PosSemidef.trace_eq_zero_iff, HasGradientWithinAt.differentiableWithinAt, LinearMap.trace_eq_sum_inner, MeasureTheory.Integrable.mul_of_top_right, ContinuousAlternatingMap.curryLeft_apply_apply, BoundedContinuousFunction.coe_intCast, MeasureTheory.memLp_haarAddCircle_iff, ContinuousLinearMap.flip_smul, MeromorphicOn.divisor_inv, HasDerivAtFilter.mono, ContinuousMap.spectrum_eq_preimage_range, PadicInt.mahlerSeries_apply, HasDerivWithinAt.fun_pow', PeriodPair.analyticOnNhd_derivWeierstrassPExcept, UpperHalfPlane.dist_eq_iff_eq_sq_sinh, HasCompactSupport.hasDerivAt_convolution_right, InnerProductSpace.isSymmetricProjection_rankOne_self, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe, hasDerivWithinAt_neg, DifferentiableWithinAt.const_mul, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, HasDerivWithinAt.const_add, Complex.differentiableOn_update_limUnder_of_bddAbove, NumberField.mixedEmbedding.convexBodySum_compact, MeromorphicOn.divisor_fun_pow, differentiableWithinAt_pow, Bundle.ContinuousRiemannianMetric.continuous, hasSum_mellin, Matrix.IsHermitian.charpoly_cfc_eq, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_pow, NormedSpace.norm_expSeries_summable, MeasureTheory.ConvolutionExistsAt.integrable_swap, DifferentiableWithinAt.fun_pow, Polynomial.deriv_aeval, hasGradientWithinAt_iff_hasFDerivWithinAt, spectrum.isCompact, Complex.tendsto_pow_exp_of_isLittleO_sub_add_div, HasFiniteFPowerSeriesOnBall.eq_partialSum, tsum_mul_tsum_of_summable_norm, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left, hasDerivAt_tsum_of_isPreconnected, Matrix.gram_eq_conjTranspose_mul, IsUltrametricDist.isUltrametricDist_of_forall_norm_sub_one_of_norm_le_one, HasDerivWithinAt.eventually_notMem, IsLocalFrameOn.coeff_congr, ContMDiffCovariantDerivativeOn.finite_affine_combination, Submodule.topologicalClosure_eq_self, LinearMap.hasStrictDerivAt, real_linearMap_map_smul_complex, AffineMap.hasDerivAt_lineMap, fderivWithin_continuousAlternatingMap_apply_const_apply, Complex.comap_exp_nhds_zero, EisensteinSeries.G2_eq_tsum_symmetricIco, Complex.equivRealProdCLM_symm_apply, nndist_inv_inv₀, Complex.cos_eq_tsum', ContinuousMultilinearMap.curryFinFinset_symm_apply_const, HasDerivWithinAt.fun_finset_prod, HasDerivWithinAt.norm_sq, NormedSpace.smul_mem_polar, HasGradientAtFilter.hasDerivAtFilter', WeakDual.CharacterSpace.continuousMapEval_bijective, cot_series_rep', DirichletCharacter.differentiableAt_LFunction, differentiableOn_dslope_of_notMem, LowerSemicontinuousOn.isClosed_re_epigraph, NumberField.canonicalEmbedding.integralBasis_repr_apply, Complex.interior_preimage_re, Complex.continuous_cosh, MeromorphicOn.divisor_fun_prod, fourier_one, Polynomial.isClosedMap_eval, GeneralSchauderBasis.expansion, HasFPowerSeriesOnBall.fderiv_eq, HasSum.cexp, ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd, IsCovariantDerivativeOn.smul_const, NumberField.mixedEmbedding.fundamentalCone.subset_interior_normLeOne, NormedSpace.inclusionInDoubleDual_norm_eq, HasDerivAtFilter.fun_add, NumberField.canonicalEmbedding.integerLattice.inter_ball_finite, SchwartzMap.smulLeftCLM_sum, UpperHalfPlane.σ_mul, DifferentiableAt.inverse, PadicInt.continuous_choose, AffineMap.hasDerivWithinAt_lineMap, PeriodPair.basis_zero, DifferentiableWithinAt.const_cpow, UpperHalfPlane.image_coe_ball, ContinuousLinearMap.fderiv_of_bilinear, NumberField.mixedEmbedding.negAt_signSet_apply_isReal, Complex.closure_setOf_lt_im, Real.hasDerivWithinAt_arccos_Ici, Rat.HeightOneSpectrum.adicCompletion.padicEquiv_bijOn, ContinuousLinearMap.nnnorm_toSpanSingleton, continuousOn_cfc_setProd, ContinuousAlternatingMap.alternatizeUncurryFin_smul, fderiv_mul_const', LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, Matrix.linftyOpIsBoundedSMul, EulerProduct.eulerProduct, Complex.hasDerivAt_Gammaℝ_one, SchwartzMap.toBoundedContinuousFunctionCLM_apply, hasSum_jacobiTheta₂_term, ContDiffMapSupportedIn.monoCLM_eq_of_scalars, 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, LSeries_deriv, HasDerivWithinAt.const_cpow, Submodule.adjoint_subtypeL, IsGreatest.norm_cfc, hasStrictFDerivAt_exp, NormedSpace.exp_conj, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, HasDerivAtFilter.sub, AbsoluteValue.Completion.locallyCompactSpace, MeasureTheory.MemLp.memLp_liftIoc, UpperHalfPlane.contMDiff_inv_denom, ContinuousLinearMap.opNorm_mul_apply, gelfandStarTransform_symm_apply, ContinuousLinearMap.norm_smulRightL, mul_neg_geom_series, deriv_const_mul_field', NormedSpace.inclusionInDoubleDualWeak_apply_apply, unitSphereToUnits_apply_coe, deriv_fun_div, Complex.uniformlyContinuous_re, WithAbs.tendsto_one_div_one_add_pow_nhds_one, PadicInt.coe_addChar_of_value_at_one, Complex.map_exp_comap_re_atTop, RCLike.summable_ofReal, HasFDerivWithinAt.fun_smul, ContinuousMapZero.integral_apply, PadicInt.mahlerSeries_apply_nat, Complex.differentiable_exp, MeasureTheory.convolution_def, ContinuousMultilinearMap.curryLeft_norm, Complex.UnitDisc.isEmbedding_coe, HurwitzZeta.hasSum_nat_completedCosZeta, HasDerivAt.hasFDerivAt, tendsto_sub_mul_tsum_nat_cpow, 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, IsUltrametricDist.isUltrametricDist_of_forall_pow_norm_le_nsmul_pow_max_one_norm, HasDerivAt.neg, ContMDiffVectorBundle.continuousLinearMap, NormedSpace.eq_iff_forall_dual_eq, Matrix.isBoundedSMul, HasDerivAt.star, Function.Periodic.boundedAtFilter_cuspFunction, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, hasStrictDerivAt_const_add_iff, Summable_cotTerm, isBoundedBilinearMap_compMultilinear, norm_cauchyPowerSeries_le, IsUltrametricDist.isUltrametricDist_of_forall_norm_add_one_le_max_norm_one, sum_mul_eq_sub_integral_mul', Filter.tendsto_inv₀_cobounded, HasDerivWithinAt.const_rpow, hasFDerivAt_norm_rpow, ContinuousLinearMap.compL_apply, ContinuousLinearMap.lsmul_flip_inj, tendsto_intCast_atBot_sup_atTop_cobounded, HasFPowerSeriesOnBall.uniform_geometric_approx, summable_jacobiTheta₂_term_fderiv_iff, ContDiffMapSupportedIn.structureMapLM_eq_of_scalars, ContinuousAlternatingMap.continuous_compContinuousLinearMapCLM, ConvexOn.hasDerivWithinAt_rightDeriv_of_mem_interior, MeromorphicOn.divisor_sub_const_self, Unitization.cobounded_eq_aux, HasDerivAtFilter.const_smul, NormedSpace.toLinearMap_inclusionInDoubleDualWeak, sum_inner, Polynomial.div_tendsto_atBot_zero_of_degree_lt, HurwitzZeta.hasSum_nat_hurwitzZetaEven, HasFPowerSeriesWithinAt.fderivWithin_eq, isCoveringMap_zpow, Matrix.linfty_opNNNorm_toMatrix, continuousWithinAt_dslope_of_ne, HurwitzZeta.hasSum_int_cosKernel, inCoordinates_apply_eq₂, ZMod.completedLFunction_def_odd, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, FormalMultilinearSeries.id_comp', mdifferentiableOn_localFrame_coeff, UpperHalfPlane.norm_σ, OnePoint.isZeroAt_infty_iff, NormedSpace.expSeries_hasSum_exp, FormalMultilinearSeries.hasSum, hasDerivAt_abs_rpow, ContinuousLinearMap.IsPositive.conj_adjoint, ContinuousLinearMap.flip_apply, derivWithin_fun_div, derivWithin_inv, Matrix.toEuclideanCLM_toLp, HasDerivAt.comp, WeakDual.CharacterSpace.homeoEval_naturality, DifferentiableWithinAt.hasDerivWithinAt, NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis, PeriodPair.isClosed_lattice, BoundedContinuousFunction.innerProbChar_zero, FormalMultilinearSeries.coeff_eq_zero, Complex.tendsto_normSq_cocompact_atTop, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIdealLattice, RCLike.conjCLE_coe, HasFPowerSeriesOnBall.sum, HasFDerivAt.comp_hasDerivAt, contDiffOn_stereoToFun, HasDerivWithinAt.mul, absorbs_iff_eventually_nhdsNE_zero, IsCompactOperator.antilipschitz_of_not_hasEigenvalue, DifferentiableOn.ccos, HasDerivAt.log, Units.instIsManifoldModelWithCornersSelf, LeftInvariantDerivation.evalAt_coe, Matrix.IsHermitian.trace_eq_sum_eigenvalues, fderiv_inverse, DifferentiableAt.ccosh, hasStrictFDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_fun_neg, deriv_pow, convex_halfSpace_im_gt, ContMDiffOn.clm_precomp, BoundedContinuousFunction.toLp_inj, DifferentiableWithinAt.continuousAlternatingMapCompContinuousLinearMap, contDiffOn_nat_iff_continuousOn_differentiableOn, BoundedContinuousFunction.coe_natCast, EisensteinSeries.tendsto_zero_inv_linear_sub, GaussianFourier.integrable_cexp_neg_mul_sum_add, ContinuousLinearMap.bilinearRestrictScalars_apply_apply, Complex.continuousOn_sin, Complex.hasStrictFDerivAt_cpow, InnerProductSpace.adjoint_rankOne, FormalMultilinearSeries.compAlongComposition_nnnorm, tendsto_riemannZeta_sub_one_div, ZetaAsymptotics.tendsto_Gamma_term_aux, NumberField.InfinitePlace.Completion.locallyCompactSpace, Filter.EventuallyEq.hasDerivAt_iff, fderiv_pow, InnerProductSpace.rankOne_eq_zero, Polynomial.differentiable_aeval, Complex.polarCoord_apply, IsGreatest.nnnorm_cfc, HasDerivAt.csinh, fderivWithin_continuousMultilinear_apply_const_apply, BoundedContinuousFunction.toLp_injective, hasDerivAt_deriv_iff, Unitization.splitMul_injective_of_clm_mul_injective, Convex.toWeakSpace_closure, Unitary.instLocPathConnectedSpace, Complex.differentiable_iteratedDeriv_sin, AddChar.expect_apply_eq_zero_iff_ne_zero, ContinuousAlternatingMap.norm_curryLeft, hasDerivAtFilter_neg, ContinuousMap.isUnit_iff_forall_isUnit, Complex.hasStrictDerivAt_sinh, tsum_pow_div_one_sub_eq_tsum_sigma, HasStrictDerivAt.sin, Real.hasDerivAt_binEntropy, hasDerivAt_gronwallBound_shift, Continuous.cexp, HasStrictDerivAt.clog_real, intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le, EisensteinSeries.linear_right_summable, InnerProductSpace.inner_right_rankOne_apply, ContDiff.differentiable_iteratedFDeriv, HasFDerivWithinAt.hasGradientWithinAt, SchwartzMap.pairing_apply, HasFDerivAt.pow, HasDerivWithinAt.sqrt, NormedSpace.analyticAt_exp_of_mem_ball, MeromorphicAt.tendsto_nhds_meromorphicTrailingCoeffAt, spectrum.eventually_isUnit_resolvent, UnitAddTorus.mFourier_add, Real.hasDerivAt_qaryEntropy, innerSL_inj, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, continuousAt_dslope_same, PositiveLinearMap.preGNS_inner_def, fderivWithin_inv', hasDerivAt_add_const_iff, hasDerivWithinAt_pow, hasDerivWithinAt_iff_hasFDerivWithinAt, UpperHalfPlane.cosh_dist, Asymptotics.isLittleO_pow_id, LSeries_eq_mul_integral_of_nonneg, Ideal.IsMaximal.isClosed, differentiableAt_star_conj_iff, UpperHalfPlane.image_coe_closedBall, HasFDerivWithinAt.cpow, PeriodPair.periodic_derivWeierstrassP, EisensteinSeries.summable_linear_left_mul_linear_left, Monotone.ae_hasDerivAt, StrongDual.toLp_of_not_memLp, ContinuousLinearMap.fderivWithin_of_bilinear, HasFPowerSeriesOnBall.compContinuousLinearMap, Quaternion.expSeries_odd_of_imaginary, HasStrictFDerivAt.const_cpow, MeromorphicOn.divisor_prod, differentiableWithinAt_of_derivWithin_ne_zero, MeromorphicOn.divisor_intCast, unitSphereToUnits_injective, Complex.tendsto_one_add_div_pow_exp, HasFDerivWithinAt.csinh, quasispectrum.isCompact, TensorProduct.inner_lid_lid, ContDiffMapSupportedIn.uniformSpace_eq_iInf, derivWithin_div_const, NumberField.InfinitePlace.Completion.isClosed_image_extensionEmbedding, Matrix.piLp_ofLp_toEuclideanLin, iteratedFDerivWithin_smul_const_apply, tendsto_pow_atTop_nhds_zero_iff_norm_lt_one, cfcₙAux_id, riemannZeta_eulerProduct_exp_log, PiTensorProduct.liftIsometry_tprodL, HasStrictFDerivAt.cexp, MeasureTheory.Integrable.bdd_mul, NormedSpace.inclusionInDoubleDual_norm_le, AnalyticOnNhd.eval_linearMap, UniformConvergenceCLM.continuousSMul, RCLike.rank_le_two, hasDerivWithinAt_one, IsSelfAdjoint.isConnected_spectrum_compl, Bundle.Trivialization.eventually_eq_localFrame_sum_coeff_smul, WeakDual.isCompact_closedBall, Quaternion.continuous_imJ, ContinuousOn.of_dslope, FormalMultilinearSeries.ofScalars_radius_eq_of_tendsto, ConvexOn.sSup_of_countable_affine_eq, TestFunction.coe_ofSupportedInCLM, RCLike.reCLM_coe, isClosedMap_pow, continuousSMul_closedBall_ball, UpperHalfPlane.dist_coe_center, InnerProductSpace.rankOne_eq_rankOne_iff_comm, InnerProductSpace.toDual_apply, MeasureTheory.ComplexMeasure.equivSignedMeasure_apply, HasLineDerivAt.tendsto_slope_zero, UniformContinuousOn.fun_inv₀, HasStrictDerivAt.to_local_left_inverse, Complex.tendsto_arg_nhdsWithin_im_nonneg_of_re_neg_of_im_zero, HasDerivWithinAt.inner, Bornology.isVonNBounded_iff, EisensteinSeries.tendsto_e2Summand_atTop_nhds_zero, ContinuousLinearMap.derivWithin, DifferentiableAt.inner, MeromorphicOn.isClopen_setOf_meromorphicOrderAt_eq_top, Complex.derivWithin_sqrt, ContinuousLinearMap.analyticWithinAt_uncurry_of_multilinear, ContinuousLinearMap.precompR_apply, HarmonicAt.differentiableAt_complex_partial, ContinuousAlternatingMap.norm_alternatizeUncurryFinCLM_le, 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, HasFDerivWithinAt.mul_const, 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, DifferentiableOn.inv, MeasureTheory.hasFDerivAt_convolution_right_with_param, fderiv_pow', smoothSheafCommRing.isUnit_stalk_iff, fderiv_mul, FormalMultilinearSeries.coeff_ofScalars, UpperHalfPlane.ofComplex_apply_of_im_pos, hasDerivAt_ofNat, SchwartzMap.postcompCLM_apply, iteratedFDerivWithin_eq_equiv_comp, RCLike.isUniformEmbedding_ofReal, EuclideanSpace.coe_proj, summable_norm_sum_mul_range_of_summable_norm, Matrix.l2_opNNNorm_mulVec, NumberField.mixedEmbedding.span_idealLatticeBasis, NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis, Orthonormal.inner_left_right_finset, AlternatingMap.mkContinuousAlternating_norm_le, HasCompactSupport.hasFDerivAt_convolution_right, SchwartzMap.lineDerivOp_compCLMOfContinuousLinearEquiv, ContDiffMapSupportedIn.structureMapCLM_zero_apply, VonNeumannAlgebra.centralizer_centralizer', FormalMultilinearSeries.mkPiRing_coeff_eq, differentiableAt_inv_iff, ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap, TemperedDistribution.fourierMultiplierCLM_fourierMultiplierCLM_apply, HasStrictDerivAt.exp, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, Finsupp.inner_sum, LinearMap.deriv, contDiff_iff_iteratedDeriv, LeftInvariantDerivation.map_zero, PadicInt.coe_adicCompletionIntegersEquiv_symm_apply, HasFDerivWithinAt.inner, NormedSpace.polar_ball_subset_closedBall_div, zeta_eq_tsum_one_div_nat_cpow, InnerProductSpace.comp_rankOne, OrthonormalBasis.starProjection_eq_sum_rankOne, continuousAt_cpow, InnerProductSpace.toDualMap_apply, gelfandTransform_map_star, Quaternion.instCompleteSpaceReal, Bundle.Pretrivialization.continuousLinearMap.isLinear, UpperHalfPlane.hasStrictDerivAt_smul, Complex.interior_preimage_im, HasDerivAt.cosh, continuousOn_cfc_nnreal, DifferentiableAt.conj_conj, selfAdjoint.continuous_expUnitary, 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, isQuotientCoveringMap_npow, EulerProduct.eulerProduct_tprod, ContDiffMapSupportedIn.seminorm_monoLM_le, NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos, Complex.comap_exp_nhdsNE, Polynomial.derivWithin, ContinuousLinearMap.isBoundedBilinearMap, deriv_ccosh, fdifferential_apply, HasFPowerSeriesWithinOnBall.sum, Real.hasStrictDerivAt_arcosh, cfcHom_integral, Asymptotics.isEquivalent_iff_exists_eq_mul, HasDerivAt.sub, UnitAddTorus.coeFn_mFourierLp, Complex.multipliable_of_summable_log, Matrix.l2_opNorm_conjTranspose_mul_self, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right, compContinuousLinearMap_zero, MeromorphicOn.divisor_sub_const_of_ne, ContinuousMultilinearMap.ofSubsingletonₗᵢ_symm_apply, nonunits.isClosed, 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, NumberField.mixedEmbedding.polarCoord_symm_apply, NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsReal_coe, Differentiable.fun_pow, fderivWithin_ccos, Complex.deriv_Gamma_nat, Matrix.isSymmetric_toEuclideanLin_iff, PeriodPair.weierstrassPExcept_eq_tsum, VectorField.lieBracketWithin_smul_left, hasDerivAt_update, ContinuousAlternatingMap.ofSubsingletonLIE_apply, HasStrictFDerivAt.clog, FormalMultilinearSeries.compAlongComposition_bound, continuousMultilinearCurryRightEquiv_symm_apply, TemperedDistribution.fourierMultiplierCLM_apply, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le, UpperHalfPlane.lt_dist_iff_lt_dist_coe_center, HasStrictDerivAt.smul, fderiv_pow_ring, Complex.continuous_sinh, constFormalMultilinearSeries_apply_zero, Padic.instCompleteSpace, hasDerivAt_tsum, hasFTaylorSeriesUpToOn_top_iff', ContinuousLinearMap.lsmul_apply, LinearIsometryEquiv.conjStarAlgEquiv_trans, Complex.UnitDisc.coe_closedBall_smul, FormalMultilinearSeries.radius_smul_eq, DifferentiableAt.comp_ringHom, selfAdjoint.unitarySelfAddISMul_coe, ContinuousMap.linearIsometryBoundedOfCompact_symm_apply, HasDerivWithinAt.complexToReal_fderiv, Real.tsum_eq_tsum_fourier_of_rpow_decay_of_summable, ContinuousLinearMap.bilinearComp_zero_right, Complex.IsExactOn.differentiableOn, WeakDual.isBounded_closure, IsContMDiffRiemannianBundle.exists_contMDiff, ContinuousMap.ideal_isMaximal_iff, Complex.isOpen_compl_range_intCast, deriv_const_mul_field, Complex.nhdsWithin_lt_le_nhdsWithin_stolzSet, Complex.hasSum_ofReal, ContinuousMap.unitsOfForallIsUnit_apply, CuspFormClass.zero_at_infty, Filter.Tendsto.clog, hasDerivAtFilter_add_const_iff, HasDerivWithinAt.arsinh, HurwitzZeta.completedHurwitzZetaEven_residue_one, HasStrictDerivAt.csinh, Matrix.exp_nsmul, 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, RCLike.geometric_hahn_banach_of_nonempty_interior', LinearMap.toSeminorm_comp, HasDerivAt.exp, ContinuousAlternatingMap.toContinuousMultilinearMapLI_apply, UnitAddTorus.mFourier_neg, Differentiable.inverse, DifferentiableOn.div_const, InnerProductSpace.toDual_apply_apply, Complex.continuousOn_norm_circleTransformBoundingFunction, Complex.continuousAt_Gamma_one, intervalIntegral.intervalIntegrable_cpow, AlgHom.instContinuousLinearMapClassOfAlgHomClass, ContinuousLinearMap.adjointAux_apply, Real.hasDerivAt_arcsin, coe_lpBCFₗᵢ, hasSum_sum_range_mul_of_summable_norm', ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self, IsCompactOperator.hasEigenvalue_or_mem_resolventSet, fderivWithin_fun_mul', PeriodPair.differentiableOn_derivWeierstrassP, ProperCone.innerDual_singleton, Complex.hasDerivAt_sinh, PeriodPair.weierstrassPExcept_def, VonNeumannAlgebra.coe_mk, algebraMap_isometry, HasDerivAt.csin, differentiable_inner, LeftInvariantDerivation.coe_sub, HasFPowerSeriesWithinOnBall.sub, TemperedDistribution.fourierMultiplierCLM_const, CFC.exp_eq_normedSpace_exp, HasLineDerivAt.tendsto_slope_zero_left, BoundedContinuousFunction.AlgHom.compLeftContinuousBounded_apply_apply, tendsto_nhds_iff_meromorphicOrderAt_nonneg, ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall, LDL.lower_conj_diag, Real.hasDerivAt_tan, OrderedFinpartition.compAlongOrderedFinpartitionₗ_apply_apply, hasFDerivAt_list_prod', HurwitzZeta.hasSum_int_cosZeta, hasFDerivAt_integral_of_dominated_loc_of_lip', RKHS.kerFun_dense, ArithmeticFunction.IsMultiplicative.eulerProduct_tprod, InnerProductSpace.rankOne_def, HasDerivAt.smul_const, HasDerivAtFilter.sub_const, EulerProduct.prod_filter_prime_geometric_eq_tsum_factoredNumbers, PadicInt.continuousAddCharEquiv_of_norm_mul_apply, ContinuousLinearMap.coe_flipₗᵢ', MDifferentiableAt.clm_bundle_apply₂, stereoToFun_apply, ContinuousLinearMap.adjointAux_inner_left, SchwartzMap.convolution_apply, deriv_inv, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_right, PointwiseConvergenceCLM.equivWeakDual_apply, hasSum_jacobiTheta₂_term_fderiv, HasDerivAt.cos, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul, ContinuousLinearMap.norm_smulRight_apply, ContinuousMap.linearIsometryBoundedOfCompact_of_compact_toEquiv, Real.hasStrictDerivAt_cosh, contDiff_iff_continuous_differentiable, NumberField.mixedEmbedding.mem_span_latticeBasis, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_Gammaℝ, hasDerivAt_const, Complex.tendsto_norm_tan_atTop, iteratedDerivWithin_comp_three, HasFPowerSeriesWithinOnBall.uniform_geometric_approx', Module.Basis.equivFunL_symm_apply_repr, BoundedContinuousFunction.innerProbChar_apply, fderiv_mul', IsUltrametricDist.of_normedAlgebra, Filter.EventuallyEq.ftaylorSeriesWithin, UniformSpace.Completion.norm_toComplL, Bornology.IsVonNBounded.tendsto_smallSets_nhds, iter_deriv_zpow, ContinuousAlternatingMap.constOfIsEmptyLIE_symm_apply, instSMulCommClass_sphere_closedBall_closedBall, HasStrictDerivAt.cosh, MeasureTheory.MemLp.prod', HasStrictFDerivAt.ccos, ContinuousMap.toLp_def, Units.instLieGroupModelWithCornersSelf, 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, Complex.hasSum_sin, Complex.tendsto_self_mul_Gamma_nhds_zero, SchwartzMap.integral_bilin_fourier_eq, Summable.hasProdUniformlyOn_nat_one_add, Complex.hasStrictDerivAt_const_cpow, DifferentiableOn.clm_comp, ContDiffMapSupportedIn.monoCLM_apply, ClosedSubmodule.orthogonal_eq_inter, ftaylorSeriesWithin_zero, ContinuousMultilinearMap.prodL_apply, Orientation.kahler_neg_orientation, Real.hasStrictDerivAt_log, HasFDerivWithinAt.cexp, HasStrictDerivAt.mul_const, hasFDerivWithinAt_iff_hasDerivWithinAt, IsSelfAdjoint.cfc_arg, HasDerivAt.isBigO_sub, hasFTaylorSeriesUpToOn_succ_iff_right, ContinuousOn.clm_bundle_apply₂, EisensteinSeries.hasSum_e2Summand_symmetricIco, RingHom.isometry, ContinuousLinearMap.coe_flipMultilinearEquiv, HasDerivWithinAt.cpow, NonUnitalAlgHom.coe_Lmul, Complex.tendsto_nat_mul_log_one_add_of_tendsto, ContinuousMultilinearMap.norm_map_init_le, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, LeftInvariantDerivation.left_invariant'', SchwartzMap.compCLMOfAntilipschitz_apply, MeasureTheory.Integrable.fintype_prod_dep, intervalIntegral.integrableOn_Ioo_cpow_iff, SchwartzMap.fourierInv_apply_eq, SchwartzMap.smulRightCLM_apply_apply, HasDerivWithinAt.fun_neg, NormedSpace.expSeries_summable', NormedSpace.norm_expSeries_summable_of_mem_ball, LinearIsometryEquiv.conjStarAlgEquiv_refl, UpperHalfPlane.dist_lt_iff_dist_coe_center_lt, Complex.conjCLE_toLinearEquiv, HasDerivAt.tendsto_slope_zero_left, HasDerivAt.complexToReal_fderiv', hasStrictFDerivAt_iff_hasStrictDerivAt, contDiff_nat_iff_iteratedDeriv, eventually_singleton_add_smul_subset, MeasureTheory.IntegrableOn.continuousOn_mul_of_subset, hasSum_jacobiTheta₂'_term, NumberField.mixedEmbedding.negAt_apply_isReal_and_notMem, DifferentiableAt.const_mul, Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zero, circleMap_notMem_ball, SchwartzMap.toTemperedDistributionCLM_apply_apply, EisensteinSeries.q_expansion_riemannZeta, HasDerivAt.complexToReal_fderiv, ContinuousLinearMapWOT.isInducing_inducingFn, SlashInvariantFormClass.periodic_comp_ofComplex, fderivWithin_fderivWithin_eq_of_eventuallyEq, integrableOn_Ioi_deriv_ofReal_cpow, NormedField.nhdsNE_neBot, EulerProduct.eulerProduct_completely_multiplicative_tprod, Complex.map_exp_comap_re_atBot, 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, RCLike.summable_conj, EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers, RCLike.geometric_hahn_banach_point_point, iteratedDeriv_mul, TestFunction.coe_ofSupportedInLM, HasStrictDerivAt.cexp, Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable, extDerivWithin_fun_smul, DifferentiableWithinAt.fun_mul, fourierSubalgebra_separatesPoints, FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum, ftaylorSeries_fun_zero, SchauderBasis.proj_apply, Complex.isEquivalent_sinh, HasDerivAt.add_const, AnalyticOnNhd.is_constant_or_isOpenMap, hasFDerivAt_exp_smul_const', Quaternion.exp_of_re_eq_zero, MeasureTheory.SignedMeasure.re_toComplexMeasure, TemperedDistribution.smulLeftCLM_sub, fromTangentSpace_mfderiv_smul', Complex.one_add_cpow_hasFPowerSeriesAt_zero, HasDerivAt.of_isLittleO, FormalMultilinearSeries.ofScalars_norm_le, HasFDerivWithinAt.continuousAlternatingMapCompContinuousLinearMap, Matrix.exp_zsmul, HurwitzZeta.hasSum_nat_cosZeta, SchwartzMap.postcompCLM_postcompCLM, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, ContinuousLinearMapWOT.hasBasis_seminorms, 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, SchwartzMap.smulLeftCLM_const, UpperHalfPlane.contMDiff_num, HasDerivWithinAt.rpow, UpperHalfPlane.mdifferentiable_denom, LinearMap.toMatrix_innerₛₗ_apply, NormedSpace.expSeries_div_hasSum_exp_of_mem_ball, UpperHalfPlane.dist_self_center, Matrix.exp_sum_of_commute, FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendsto, HasFPowerSeriesWithinOnBall.hasSum_derivSeries_of_hasFDerivWithinAt, 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, hasDerivAt_of_tendstoUniformlyOn, MeasureTheory.ComplexMeasure.integrable_rnDeriv, Polynomial.isProperMap_eval, NumberField.mixedEmbedding.negAt_apply_isComplex, isBigO_riemannZeta_sub_one_div, AffineMap.hasDerivAt, hasDerivWithinAt_congr_set, Complex.hasFDerivAt_cpow, MDifferentiableOn.prod, FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq, Complex.differentiableAt_exp, UpperHalfPlane.σ_num, HasStrictDerivAt.scomp_of_eq, DifferentiableAt.continuousMultilinearMapCompContinuousLinearMap, HasStrictDerivAt.fun_finset_prod, LinearMap.range_toContinuousLinearMap, Complex.not_continuousAt_Gamma_zero, Matrix.inner_toEuclideanCLM, Complex.differentiable_Gammaℝ_inv, Quaternion.re_exp, meromorphicOrderAt_eq_int_iff, ContinuousLinearMap.norm_precompR_le, hasFDerivWithinAt_pow', continuous_circleMap, differentiableAt_jacobiTheta₂_fst, ContinuousOn.cpow_const, AffineMap.differentiableAt, hasStrictDerivAt_finCons', isScalarTower_closedBall_ball_ball, contMDiffOn_baseSet_localFrame_coeff, Complex.iter_deriv_exp, MeromorphicOn.meromorphicNFAt_mem_codiscreteWithin, Continuous.cfc_nnreal_of_mem_nhdsSet, HasProdLocallyUniformlyOn_euler_sin_prod, MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_left, NormedSpace.ofReal_exp_ℝ_ℝ, ContinuousLinearMap.isBoundedLinearMap_comp_right, Matrix.PosSemidef.toLinearMap₂'_zero_iff, convex_halfSpace_im_lt, ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear, HasFPowerSeriesWithinAt.pi, Polynomial.rootSet_derivative_subset_convexHull_rootSet, VonNeumannAlgebra.mem_carrier, WeakDual.isSeqCompact_closedBall, TestFunction.lineDerivCLM_add, hasStrictDerivAt_finCons, Complex.differentiableAt_tan, PiTensorProduct.liftEquiv_apply, HasFDerivAt.cexp, extDerivFun_zero, WeakDual.isBounded_iff_isVonNBounded, HasDerivWithinAt.congr_of_eventuallyEq_of_mem, MeromorphicAt.eventuallyEq_zero_nhdsNE_of_eventuallyEq_zero_codiscreteWithin, HasFDerivAt.ccos, ModularForm.differentiableAt_eta_tprod, has_antideriv_at_fourier_neg, ModularForm.discriminant_eq_q_prod, hasFTaylorSeriesUpTo_top_iff', hasStrictDerivAt_zpow, HasDerivWithinAt.ccosh, fderivWithin_iteratedFDerivWithin, fromTangentSpace_mfderiv_smul_apply', PadicInt.denseRange_natCast, UnitAddTorus.mFourier_norm, toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhds, Matrix.instNonnegSpectrumClass, MultilinearMap.mkContinuousLinear_norm_le, WeakDual.exists_countable_separating, NumberField.mixedEmbedding.normAtComplexPlaces_normAtAllPlaces, LSeriesSummable.sum, Function.Periodic.continuous_qParam, ContinuousLinearMap.deriv_of_bilinear, Orientation.areaForm'_apply, HasStrictDerivAt.comp_of_eq, hasFDerivAtFilter_iff_hasDerivAtFilter, HasFDerivAt.clog, HurwitzZeta.hasSum_expZeta_of_one_lt_re, innerSLFlip_apply_apply, UniformContinuousOn.cexp, ContinuousLinearMap.nnnorm_holder_apply_apply_le, Polynomial.hasFDerivAt, RCLike.ofReal_finsupp_sum, 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, ContinuousLinearMap.bilinear_hasTemperateGrowth, IsBoundedBilinearMap.isBoundedLinearMap_deriv, UpperHalfPlane.smulFDeriv_J_mul, IsContinuousRiemannianBundle.exists_continuous, ContinuousAlternatingMap.fderivCompContinuousLinearMap_eq_alternatizeUncurryFin, ConvexOn.sSup_of_nat_affine_eq, PeriodPair.summable_weierstrassPSummand, dist_eq, LinearMap.coe_toContinuousLinearMap, ContinuousLinearMap.prodMapL_apply, ContinuousLinearMap.uncurryLeft_apply, HilbertBasis.dense_span, Complex.frontier_preimage_im, 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, continuousAt_clog, EisensteinSeries.linear_left_summable, AnalyticOnNhd.preimage_zero_mem_codiscrete, PeriodPair.hasSumLocallyUniformly_weierstrassPExcept, contMDiff_smul, MeromorphicOn.divisor_ofNat, UpperHalfPlane.coe_smul, UniformFun.continuousSMul_induced_of_range_bounded, fderivWithin_mul_const', ContinuousAlternatingMap.curryLeft_compContinuousLinearMap, summable_powerSeries_of_norm_lt_one, Complex.hasDerivAt_cos, HasDerivWithinAt.fun_smul, IsBilinearMap.toContinuousBilinearMap_apply, TestFunction.lineDerivOp_eq_lineDerivCLM, Complex.ofRealCLM_apply, contMDiffOn_continuousLinearMapCoordChange, fderivWithin_smul, UpperHalfPlane.ofComplex_apply_eq_of_im_nonpos, Complex.log_sub_self_isBigO, ContinuousMultilinearMap.curryFinFinset_apply_const, InnerProductSpace.enorm_rankOne, aestronglyMeasurable_smul_const_iff, Orthonormal.inner_finsupp_eq_sum_right, HasStrictDerivAt.fun_div, InnerProductSpace.continuousLinearMapOfBilin_zero, differentiableAt_complex_iff_differentiableAt_real, ContinuousMultilinearMap.compContinuousLinearMapLRight_apply, Convex.exists_forall_hasDerivWithinAt, ModularForm.logDeriv_one_sub_mul_cexp_comp, cfcHom_real_eq_restrict, ContinuousLinearMap.toLinearMap_innerSL_apply, differentiableAt_comp_const_sub, HasFPowerSeriesAt.hasStrictDerivAt, derivWithin_comp_of_eq, SchwartzMap.fourierMultiplierCLM_apply, NumberField.mixedEmbedding.mem_negAt_plusPart_of_mem, ContinuousLinearMap.continuousMultilinearMapOption_apply_eq_self, Module.Basis.equivFunL_apply, UniformContinuousOn.inv₀, hasFDerivAt_list_prod_finRange', ContDiff.smulRight, BoundedContinuousFunction.probCharDual_zero, ContinuousMultilinearMap.flipLinear_apply_apply, MeasureTheory.LocallyIntegrableOn.mul_continuousOn, summable_mul_of_summable_norm', Asymptotics.isLittleO_iff_tendsto', HasGradientAt.hasFDerivAt, Complex.arg_eq_nhds_of_im_neg, ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall, LinearMap.hasDerivWithinAt, summable_choose_mul_geometric_of_norm_lt_one, CStarMatrix.toCLM_apply_single, Real.fourier_fderiv, MeasureTheory.AEStronglyMeasurable.inner, FormalMultilinearSeries.comp_id, ContDiffOn.differentiableOn_iteratedDerivWithin, ContinuousMap.nnnorm_smul_const, Complex.tendsto_exp_comap_re_atBot, ContinuousMap.adjoin_id_eq_span_one_union, IsSelfAdjoint.spectrumRestricts, MeasureTheory.MemLp.mul, NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subset, hasFTaylorSeriesUpTo_succ_nat_iff_right, IsCovariantDerivativeOn.leibniz, ContinuousOn.cfc_nnreal_of_mem_nhdsSet, SchwartzMap.compSubConstCLM_zero, ContDiffMapSupportedIn.seminorm_top_le_iff, NormedSpace.exp_add_of_commute_of_mem_ball, 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, Complex.summable_ofReal, Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero, hasDerivAt_fourier_neg, DifferentiableWithinAt.div_const, HasDerivAt.clm_comp, StrongDual.dualPairing_separatingLeft, HasFPowerSeriesOnBall.neg, iteratedDerivWithin_scomp_three, ContinuousLinearMap.uncurryBilinear_apply, Asymptotics.continuousAt_iff_isLittleO, range_cfcₙHom_le, StrongDual.extendRCLikeₗ_apply, LinearMap.bound_of_ball_bound', HasDerivWithinAt.differentiableWithinAt, HasFDerivWithinAt.smul_const, Real.circleMap.continuous, hasStrictDerivAt_abs, fourier_eval_zero, Matrix.PosDef.commute_iff, AddChar.tendsto_eval_one_sub_pow, 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, ZMod.completedLFunction_eq, ContinuousLinearMap.cpolynomialAt_uncurry_of_multilinear, iteratedFDeriv_eq_equiv_comp, Complex.hasStrictDerivAt_log, LinearMap.toContinuousLinearMap_eq_iff_eq_toLinearMap, CFC.log_monotoneOn, sum_mul_eq_sub_integral_mul₀', derivWithin_ccosh, Differentiable.continuousMultilinearMapCompContinuousLinearMap, Unitization.norm_eq_sup, AbsoluteValue.IsEquiv.equivWithAbs_image_mem_nhds_zero, Real.hasDerivAt_cos, ContinuousMap.toLp_norm_eq_toLp_norm_coe, DifferentiableAt.inv, Matrix.ofLp_toEuclideanCLM, Quaternion.expSeries_even_of_imaginary, NumberField.mixedEmbedding.convexBodySumFun_continuous, hasFTaylorSeriesUpToOn_succ_nat_iff_right, HasDerivWithinAt.comp_hasDerivAt_of_eq, hasDerivAtFilter_iff_isLittleO, EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers, Absorbent.eventually_nhdsNE_zero, HasDerivAt.fun_const_smul, NormedSpace.expSeries_div_summable, HasDerivAt.fun_sub, CStarMatrix.toCLM_apply_eq_sum, DifferentiableWithinAt.inv, mahler_natCast_eq, deriv_comp, PadicInt.coe_adicCompletionIntegersEquiv_apply, derivWithin_cexp, HasFDerivAt.ccosh, MeromorphicAt.eventually_continuousAt, summable_descFactorial_mul_geometric_of_norm_lt_one, UpperHalfPlane.dist_eq, differentiableOn_pow, HurwitzZeta.hurwitzZeta_residue_one, tsum_choose_mul_geometric_of_norm_lt_one, HasFPowerSeriesWithinAt.sub, ClosedSubmodule.sup_orthogonal, hasDerivAt_exp_smul_const, RCLike.continuous_re, HasDerivAtFilter.add_const, NormedSpace.algebraMap_exp_comm, HasDerivAt.clog, MDifferentiable.slash, exists_dual_vector, 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, DifferentiableAt.fun_pow, HasStrictDerivAt.congr_deriv, ProbabilityTheory.hasDerivAt_complexMGF, MeromorphicOn.divisor_fun_zpow, IntervalIntegrable.mul_const, LinearMap.isPositive_toContinuousLinearMap_iff, Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_range, Complex.tsum_exp_neg_quadratic, HasFPowerSeriesWithinOnBall.tendstoLocallyUniformlyOn', CFC.monotone_rpow, MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd', derivWithin_mul_const_field, logDeriv_apply, ProbabilityTheory.covarianceBilin_eq_covarianceBilinDual, DifferentiableWithinAt.fun_div, FormalMultilinearSeries.changeOrigin_eval_of_finite, fderivWithin_fun_pow, RCLike.sqrt_map, Bundle.ContinuousLinearMap.vectorPrebundle.isContMDiff, iteratedFDerivWithin_two_apply', HasDerivAt.const_smul, Real.hasDerivWithinAt_arcsin_Ici, HasStrictDerivAt.hasStrictFDerivAt, PeriodPair.derivWeierstrassP_sub_coe, RCLike.inner_tmul_eq, Complex.isAddQuotientCoveringMap_exp, deriv.scomp, HasStrictDerivAt.add, AnalyticAt.analyticOrderAt_eq_natCast, CFC.rpow_neg_one_eq_cfc_inv, NormedSpace.map_exp_of_mem_ball, HasFDerivAt.multiset_prod, Differentiable.cpow, extDerivFun_add, SpectrumRestricts.real_iff, Matrix.l2_opNNNorm_mul, HurwitzZeta.differentiableAt_completedHurwitzZetaEven, Complex.cosh_eq_tsum, IsLocalFrameOn.eventually_eq_sum_coeff_smul, Differentiable.mul_const, HasFDerivAt.mul_const, NormedSpace.expSeries_radius_eq_top, RCLike.tendsto_ofReal_cobounded_cobounded, differentiableWithinAt_euclidean, NumberField.mixedEmbedding.volume_preserving_mixedSpaceToRealMixedSpace_symm, unitary.spectrum_subset_circle, Complex.frontier_setOf_lt_im, HasFPowerSeriesAt.fderiv_eq, LinearPMap.adjointDomainMkCLM_apply, MeasureTheory.integrable_mul_const_iff, MeromorphicOn.divisor_apply, Matrix.isPositive_toEuclideanLin_iff, HasDerivAtFilter.scomp_of_eq, nnnorm_cfc_le_iff, ContinuousLinearMap.memLp_of_bilin, HasFPowerSeriesOnBall.tendstoUniformlyOn, HasDerivAt.scomp_hasDerivWithinAt_of_eq, ContinuousLinearMap.toLinearMap_eq_iff_eq_toContinuousLinearMap, SchwartzMap.smulLeftCLM_smulLeftCLM_apply, VectorField.mlieBracketWithin_smul_left, NormedRing.inverse_add, ContinuousLinearMap.isometry_iff_adjoint_comp_self, continuousMultilinearCurryFin0_apply, Complex.interior_reProdIm, HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven, HasGradientAt.differentiableAt, PiTensorProduct.dualSeminorms_bounded, LinearMap.hasBasis_weakBilin, NormedSpace.exp_sum, FormalMultilinearSeries.radius_neg, HasFDerivWithinAt.mul_const', HasDerivAt.comp_hasFDerivWithinAt_of_eq, extDeriv_smul, spectrum.isClosed, TemperedDistribution.fourierMultiplierCLM_toTemperedDistributionCLM_eq, HasDerivAt.comp_const_sub, HasDerivAt.norm_sq, WeakBilin.locallyConvexSpace, GromovHausdorff.ghDist_eq_hausdorffDist, ContinuousLinearMap.opNorm_extend_le, Submodule.orthogonal_closure, HasDerivWithinAt.add, IsSelfAdjoint.conj_adjoint, ContinuousMultilinearMap.curryMidEquiv_apply, complexOfReal_deriv, fderiv_const_mul, nonunits.subset_compl_ball, Complex.closure_preimage_re, Summable.multipliableLocallyUniformlyOn_one_add, deriv_csin, HasStrictFDerivAt.continuousMultilinear_apply_const, hasSum_mellin_pi_mul, ContDiffMapSupportedIn.monoLM_eq_zero, ContinuousLinearMap.opNorm_mulLeftRight_apply_le, ContinuousLinearMap.analyticOnNhd_bilinear, tendsto_ne_zero_of_meromorphicOrderAt_eq_zero, DoubleCentralizer.algebraMap_snd, 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, NormedSpace.invOf_exp, hasFiniteFPowerSeriesOnBall_const, iteratedFDerivWithin_succ_apply_left, hasStrictFDerivAt_norm_sq, support_deriv_subset, MeasureTheory.IntegrableOn.mul_continuousOn_of_subset, LinearMap.adjoint_toSpanSingleton, ContDiff.differentiable_iteratedDeriv, Complex.interior_setOf_im_le, ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear, ContinuousMultilinearMap.norm_mkPiAlgebra, WeakDual.withSeminorms, NontriviallyNormedField.cobounded_neBot, HasStrictDerivAt.eventually_right_inverse, hasDerivWithinAt_natCast, MeromorphicOn.divisor_fun_mul, Asymptotics.superpolynomialDecay_iff_isLittleO, MeromorphicOn.divisor_zpow, EulerProduct.eulerProduct_completely_multiplicative_hasProd, ContinuousLinearEquiv.toSpanNonzeroSingleton_symm_apply, DifferentiableWithinAt.csin, fderiv_pow_ring', QuasispectrumRestricts.real_iff, ContinuousLinearMap.bilinearComp_apply, derivWithin_pow_field, Summable.multipliableLocallyUniformlyOn_nat_one_add, NormedSpace.exp_conj', cot_series_rep, HasStrictDerivAt.log, Summable.clog_one_sub, upperHemicontinuous_quasispectrum, spectrum.isBounded, NormedRing.inverse_add_norm, UpperHalfPlane.ofComplex_apply_eq_ite, Multipliable.norm_tprod, MeasureTheory.MemLp.const_mul', ContMDiffWithinAt.clm_bundle_apply₂, Matrix.posDef_iff_eq_conjTranspose_mul_self, 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, CStarMatrix.toCLM_apply, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, DoubleCentralizer.algebraMap_toProd, MeasureTheory.Integrable.re_im_iff, continuousMultilinearCurryFin0_symm_apply_apply, HasDerivWithinAt.fun_const_smul, deriv_cexp, ContinuousLinearMap.ker_self_comp_adjoint, RCLike.hasSum_conj, tendsto_ne_zero_iff_meromorphicOrderAt_eq_zero, FormalMultilinearSeries.id_comp, ContinuousLinearMap.norm_map_tail_le, deriv_update, UpperHalfPlane.qParam_tendsto_atImInfty, HasFPowerSeriesAt.restrictScalars, DifferentiableWithinAt.finset_prod, hasDerivAt_integral_of_dominated_loc_of_deriv_le, Summable.hasProdLocallyUniformlyOn_one_add, ContinuousLinearMap.instStarModuleId, Polynomial.hasFDerivAt_aeval, continuous_cfcHomSuperset_left, VectorField.mlieBracketWithin_smul_right, NormedField.continuousAt_inv, HasDerivWithinAt.const_mul, exists_dual_vector'', ContinuousLinearMapWOT.instContinuousSMul, HasFDerivAt.continuousAlternatingMap_apply_const, Summable.multipliableUniformlyOn_one_add, deriv_zpow', PiTensorProduct.injectiveSeminorm_apply, ContinuousLinearMap.isBoundedLinearMap_comp_left, LeftInvariantDerivation.map_add, Continuous.cfc_of_mem_nhdsSet, Complex.isConnected_of_upperHalfPlane, AnalyticOnNhd.codiscreteWithin_setOf_analyticOrderAt_eq_zero_or_top, NormedSpace.exp_units_conj', norm_fderiv_iteratedFDeriv, Complex.differentiable_sin, Module.Dual.extendRCLikeₗ_apply, Complex.abel_aux, UpperHalfPlane.dist_eq_iff_dist_coe_center_eq, TestFunction.lineDerivCLM_eq_fderivCLM, Complex.continuous_normSq, binomialSeries_radius_eq_top_of_nat, HasDerivWithinAt.div, PeriodPair.weierstrassP_add_coe, NumberField.mixedEmbedding.stdBasis_apply_isComplex_fst, ContinuousAlternatingMap.fderivCompContinuousLinearMapCLM_apply, hasFDerivAt_pow, HasDerivWithinAt.arctan, TemperedDistribution.fourier_lineDerivOp_eq, DifferentiableWithinAt.cpow_const, Matrix.l2_opNNNorm_def, ContinuousMultilinearMap.instIsBoundedSMul, hasDerivAtFilter_sub_const_iff, Filter.tendsto_inv₀_nhdsWithin_ne_zero, spectrum.hasDerivAt_resolvent, ContinuousLinearMap.adjointAux_adjointAux, mdifferentiableOn_baseSet_localFrame_coeff, PeriodPair.instProperSpaceSubtypeComplexMemSubmoduleIntLattice, HasStrictDerivAt.const_add, Complex.conjCLE_coe_toLinearMap, LinearMap.polar_gc, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, hasDerivAt_exp, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, contDiffOn_succ_iff_deriv_of_isOpen, circleMap_mem_sphere, UniformSpace.Completion.Continuous.inner, LeftInvariantDerivation.coe_add, ContMDiffAt.clm_precomp, Complex.hasDerivAt_logTaylor, TestFunction.lineDerivCLM_apply, DirichletCharacter.differentiable_LFunction, ContinuousOn.cfc_nnreal, iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_zpow, deriv_smul, Real.hasStrictDerivAt_arsinh, circleMap_preimage_codiscrete, PositiveLinearMap.gnsStarAlgHom_apply, iter_deriv_pow', cfc_integral, MeasureTheory.AEStronglyMeasurable.const_inner, ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin, hasDerivAt_iff_tendsto_slope_zero, ConvexOn.convex_re_epigraph, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric, Complex.lintegral_comp_polarCoord_symm, NumberField.mixedEmbedding.span_latticeBasis, SchwartzMap.integral_pow_mul_iteratedFDeriv_le, zero_cpow_eq_nhds, HasFTaylorSeriesUpToOn.hasFDerivAt, UpperHalfPlane.petersson_continuous, MeasureTheory.Integrable.mul_bdd, hasStrictFDerivAt_inv, MeromorphicAt.eventually_analyticAt, BoundedContinuousFunction.coeFn_toLp, ContinuousLinearMap.flip_add, hasFiniteFPowerSeriesAt_const, Complex.continuousAt_ofReal_cpow, Subalgebra.spectrum_isBounded_connectedComponentIn, MeromorphicOn.eventually_codiscreteWithin_analyticAt, ArithmeticFunction.IsMultiplicative.eulerProduct, AnalyticAt.eventually_constant_or_nhds_le_map_nhds_aux, circleMap_mem_closedBall, HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp, deriv_neg'', ContinuousLinearMap.isSelfAdjoint_iff', UnitAddTorus.instContinuousSMulComplexSubtypeAEEqFunVolumeMemAddSubgroupLp, RCLike.continuous_ofReal, HasDerivWithinAt.clog, TemperedDistribution.lineDerivOp_toTemperedDistributionCLM_eq, NormedRing.inverse_add_norm_diff_second_order, IsLocalFrameOn.coeff_apply_of_notMem, GromovHausdorff.eq_toGHSpace, ContinuousMultilinearMap.uncurryRight_apply, HasDerivAt.comp_const_add, NumberField.mixedEmbedding.polarCoord_source, nnnorm_cfc_nnreal_lt, isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts, UpperHalfPlane.J_smul, fderiv_inv, EulerProduct.prod_filter_prime_tsum_eq_tsum_factoredNumbers, UpperHalfPlane.cmp_dist_eq_cmp_dist_coe_center, hasDerivAt_circleMap, instNonemptyElemWeakDualComplexCharacterSpaceOfNontrivial, TendstoLocallyUniformly.div₀, contMDiffAt_localFrame_coeff, derivWithin_fun_smul, ContinuousLinearMap.bilinearComp_zero, HasFDerivAt.fun_pow', tendsto_sum_mul_atTop_nhds_one_sub_integral₀, HasDerivWithinAt.scomp_hasDerivAt_of_eq, isScalarTower_sphere_sphere_closedBall, Complex.UnitDisc.instSMulCommClass_closedBall_right, Unitary.openPartialHomeomorph_target, iteratedDeriv_eq_equiv_comp, SchwartzMap.smulLeftCLM_add, HasMFDerivWithinAt.mul', CFC.rpow_le_rpow, MultilinearMap.mkContinuousLinear_norm_le', HasStrictDerivAt.cpow_const, norm_fderivWithin_iteratedFDerivWithin, HasFTaylorSeriesUpToOn.shift_of_succ, NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul, NumberField.mixedEmbedding.continuous_norm, summable_powerSeries_of_norm_lt, Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq, MeasureTheory.ComplexMeasure.HaveLebesgueDecomposition.rePart, HasDerivWithinAt.neg, Complex.continuousOn_tan, ContinuousLinearMap.norm_extendTo𝕜'_bound, ContinuousAlternatingMap.toContinuousMultilinearMapCLM_comp_fderivCompContinuousLinearMap, Quaternion.normSq_exp, HasFDerivWithinAt.hasDerivWithinAt, ContinuousMultilinearMap.integral_apply, unitary.joined, Complex.hasDerivAt_sqrt, SeminormFamily.basisSets_smul, HasStrictDerivAt.smul_const, hasDerivAt_iff_hasFDerivAt, HasStrictDerivAt.sub, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_left, IsSelfAdjoint.exp_nonneg, HasFiniteFPowerSeriesOnBall.neg, ContinuousWithinAt.of_dslope, RCLike.conj_tsum, HasGradientWithinAt.fderivWithin_apply, sum_mul_eq_sub_integral_mul₁, HasDerivWithinAt.Ioo_of_Ioi, LinearMap.weakBilin_withSeminorms, PadicInt.continuous_addChar_of_value_at_one, norm_derivWithin_eq_norm_fderivWithin, ModularForm.differentiableAt_eta_of_mem_upperHalfPlaneSet, differentiableWithinAt_dslope_of_ne, LinearMap.polar_weak_closed, Submonoid.coe_unitSphere, WeakDual.isClosed_closedBall, HasDerivAt.arsinh, hasDerivAt_fourier, Filter.Tendsto.ofReal, complexOfReal_fderivWithin, Complex.continuousAt_cpow_zero_of_re_pos, NumberField.mixedEmbedding.polarSpaceCoord_symm_apply, Complex.measurableEquivRealProd_symm_polarCoord_symm_apply, Complex.UnitDisc.instIsScalarTower_closedBall, fderiv_ccos, NumberField.mixedEmbedding.fundamentalCone.norm_normAtAllPlaces, Complex.instCompleteSpace, MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_rclike_tendsto, StrongDual.extendRCLikeₗᵢ_symm_apply, Metric.sphere.instContinuousMul, ContDiffOn.continuousOn_derivWithin, nnnorm_cfc_nnreal_le, ZMod.LFunction_def_even, Real.fourier_bilin_convolution_eq, ContinuousLinearEquiv.coord_toSpanNonzeroSingleton, UpperHalfPlane.le_dist_coe, Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero, fdifferential_comp, CStarMatrix.mul_entry_mul_eq_inner_toCLM, continuous_inner, ModularFormClass.differentiableAt_cuspFunction, fourier_apply, FormalMultilinearSeries.le_comp_radius_of_summable, ContinuousLinearMap.le_opNorm₂, ContinuousLinearMap.lpPairing_eq_integral, Filter.Tendsto.cpow, Matrix.coe_toEuclideanCLM_eq_toEuclideanLin, HasFDerivAt.smul_const, ContinuousLinearMap.norm_uncurryMid, DifferentiableOn.isExactOn_ball, RCLike.wInner_const_right, Continuous.clog, NumberField.InfinitePlace.Completion.instIsTopologicalRing, InnerProductSpace.rankOne_def', ContinuousLinearMap.opNorm_mul_le, LeftInvariantDerivation.coe_injective, ContinuousLinearMap.uncurryLeft_norm, MeromorphicOn.divisor_restrict, Continuous.cfc_nnreal, hasStrictDerivAt_abs_neg, HasFDerivAt.comp_hasDerivWithinAt, NormedSpace.exp_hasFPowerSeriesAt_zero, HasFPowerSeriesOnBall.tendstoUniformlyOn', Valued.integer.properSpace_iff_completeSpace_and_isDiscreteValuationRing_integer_and_finite_residueField, HasFPowerSeriesWithinOnBall.const_smul, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, ContinuousOn.cfc_of_mem_nhdsSet, fderiv_apply_one_eq_deriv, HurwitzZeta.hasSum_nat_completedSinZeta, NormedField.tendsto_norm_inv_nhdsNE_zero_atTop, EulerProduct.eulerProduct_hasProd_mulIndicator, absorbs_iff_norm, isScalarTower_sphere_sphere_ball, ContinuousMapZero.mul_nonUnitalStarAlgHom_apply_eq_zero, nnnorm_cfc_nnreal_le_iff, integrableOn_exp_mul_complex_Iic, SchwartzMap.fourierMultiplierCLM_const, HasFPowerSeriesOnBall.sub, SchwartzMap.integral_sesq_fourierIntegral_eq, LSeries_eq_mul_integral, ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left, TestFunction.monoCLM_eq_of_scalars, HasFDerivAt.inner, Complex.frontier_setOf_le_re, HasDerivAt.rpow, HasStrictDerivAt.of_notMem_tsupport, fderiv_continuousMultilinear_apply_const_apply, MeasureTheory.Integrable.convolution_integrand, FormalMultilinearSeries.radius_compContinuousLinearMap_eq, Quaternion.im_exp, LinearMap.toMatrixOrthonormal_apply, HasFPowerSeriesWithinOnBall.tendsto_partialSum_prod, UpperHalfPlane.contMDiff_denom_zpow, DifferentiableWithinAt.csinh, AnalyticOnNhd.eqOn_or_eventually_ne_of_preconnected, deriv_inv'', TendstoLocallyUniformly.fun_inv₀_of_disjoint, contDiffOn_tsum_cexp, convex_halfSpace_re_ge, DifferentiableAt.mul_const, OrthogonalFamily.inner_sum, NormedDivisionRing.to_continuousInv₀, deriv_circleMap, NormedSpace.vonNBornology_eq, cfcₙAux_injective, PeriodPair.latticeBasis_one, EuclideanSpace.inner_eq_star_dotProduct, CauSeq.tendsto_limit, hasDerivWithinAt_const, FormalMultilinearSeries.compAlongComposition_norm, Polynomial.tendsto_nhds_iff, ContinuousLinearMap.isometry_mul, isCoveringMapOn_npow, HasFDerivAt.const_mul, LeftInvariantDerivation.coe_neg, Complex.hasStrictDerivAt_cos, StrongDual.toLpₗ_apply, Orientation.kahler_apply_self, Complex.frontier_setOf_re_lt, PeriodPair.weierstrassP_sub_coe, HasStrictFDerivAt.continuousAlternatingMap_apply, NormedSpace.exp_nsmul, PadicInt.fwdDiff_iter_le_of_forall_le, formalMultilinearSeries_geometric_apply_norm, MeasureTheory.Integrable.mul_of_top_left, Complex.analyticOn_univ_iff_differentiable, Valued.integer.coe_span_singleton_eq_closedBall, Complex.conjCLE_nnorm, Polynomial.differentiableOn, StrongDual.extendRCLikeₗ_symm_apply, hasSum_geom_series_inverse, HasDerivAtFilter.congr_of_eventuallyEq, HasStrictDerivAt.complexToReal_fderiv', Orientation.inner_mul_areaForm_sub', constFormalMultilinearSeries_apply_of_nonzero, HasFTaylorSeriesUpToOn.add, MeasureTheory.dist_convolution_le', formalMultilinearSeries_geometric_eq_ofScalars, DifferentiableAt.of_dslope, DifferentiableOn.fun_inv, isQuotientCoveringMap_zpow, NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace_apply, differentiableOn_neg, fderivWithin_multiset_prod, ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM, HasFDerivAt.mul, ContinuousLinearMap.isSelfAdjoint_toLinearMap_iff, MDifferentiable.mul, 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, hasSum_coe_mul_geometric_of_norm_lt_one, Metric.unitSphere.coe_inv, MDifferentiableOn.cle_arrowCongr, InnerProductSpace.innerSL_norm, hasFDerivAt_exp_zero, ArithmeticFunction.LSeries_vonMangoldt_eq, MeasureTheory.Integrable.const_mul', MultilinearMap.mkContinuousMultilinear_norm_le', toWeakSpace_closedConvexHull_eq, Unitization.norm_def, BoundedContinuousFunction.coe_ofNat, ContMDiff.clm_bundle_apply₂, EisensteinSeries.qExpansion_identity_pnat, Complex.isCoveringMapOn_exp, HasStrictDerivAt.const_smul, selfAdjoint.star_coe_unitarySelfAddISMul, deriv_neg', HasDerivAt.fun_sum, Orientation.kahler_rotation_left', 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, ContinuousLinearEquiv.toSpanNonzeroSingleton_coord, Distribution.dsupport_smulLeftCLM_subset, Units.isOpen, convex_halfSpace_im_ge, Balanced.absorbs_self, HasFPowerSeriesOnBall.uniform_geometric_approx', Polynomial.hasDerivWithinAt_aeval, hasSum_choose_mul_geometric_of_norm_lt_one', ContinuousLinearMap.extendTo𝕜_apply, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_eq_of_scalars, CStarAlgebra.rpow_neg_one_le_rpow_neg_one, ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const, HasFDerivAt.comp_hasDerivWithinAt_of_eq, UpperHalfPlane.le_dist_iff_le_dist_coe_center, PadicInt.hasSum_mahlerSeries, NumberField.mixedEmbedding.polarCoord_target, hasStrictFDerivAt_pow', Complex.continuousAt_arg_coe_angle, isScalarTower_sphere_closedBall_ball, Polynomial.hasStrictDerivAt_aeval, IsBoundedSMul.of_enorm_smul_le, MeasureTheory.Integrable.mul_const', CauSeq.cauchySeq, Asymptotics.superpolynomialDecay_iff_isBigO, ContinuousLinearMap.norm_extendTo𝕜', HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope, DifferentiableWithinAt.pow, StrongDual.polar_univ, 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, Padic.toEquiv_withValUniformEquiv_eq_toEquiv_withValRingEquiv, UpperHalfPlane.ofComplex_apply, Quaternion.summable_coe, ContDiffMapSupportedIn.postcompCLM_apply, 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, 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.tendsto_one_add_div_cpow_exp, HasFDerivWithinAt.clog, hasGradientAt_iff_hasFDerivAt, Complex.hasSum_cos', NormedDivisionRing.unitClosedBall_eq_univ_of_discrete, Complex.closure_setOf_re_lt, Complex.deriv_cosh, 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, TendstoLocallyUniformlyOn.inv₀_of_disjoint, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', ContinuousAlternatingMap.toContinuousMultilinearMap_curryLeft, NumberField.InfinitePlace.Completion.extensionEmbedding_coe, NumberField.mixedEmbedding.negAt_symm, HasFPowerSeriesWithinAt.prod, HasDerivWithinAt.pow', LSeries_tendsto_sub_mul_nhds_one_of_tendsto_sum_div_and_nonneg, ContinuousLinearMap.adjoint_comp_self_injective_iff, fourierSubalgebra_coe, NumberField.InfinitePlace.denseRange_algebraMap_pi, FormalMultilinearSeries.leftInv_coeff_one, Matrix.exp_conj, Polynomial.toAddCircle_monomial_eq_smul_fourier, mdifferentiableOn_continuousLinearMapCoordChange, hasDerivAtFilter_intCast, ContDiffMapSupportedIn.fderivCLM_eq_of_scalars, Orthonormal.inner_finsupp_eq_sum_left, HasDerivWithinAt.sinh, continuousAt_const_cpow', fderiv_deriv, DifferentiableOn.finset_prod, UniformContinuous.inv₀, Complex.hasStrictDerivAt_sin, Complex.polarCoord_source, hasFPowerSeriesAt_pi_iff, Module.Basis.continuous_toMatrix, derivWithin_ccos, NormedField.continuousAt_zpow, hasDerivWithinAt_univ, Seminorm.ball_zero_absorbs_ball_zero, RCLike.continuous_conj, NumberField.mixedEmbedding.polarCoord_symm_eq, upperHemicontinuous_spectrum_nnreal, continuous_barycentric_coord, ContinuousLinearMap.analyticOnNhd_uncurry_of_multilinear, InnerProductSpace.isStarProjection_rankOne_self, coord_norm', OrderedFinpartition.compAlongOrderedFinpartitionL_apply, ContinuousAlternatingMap.piLIE_symm_apply_apply, Complex.exp_sub_sum_range_succ_isLittleO_pow, ContinuousLinearMapWOT.ext_dual_iff, ContinuousMap.continuous_isUnit_unit, MeasureTheory.IntegrableOn.continuousOn_mul, Complex.continuousOn_prod_circle_transform_function, HasFPowerSeriesAt.hasFDerivAt, PadicComplex.isUltrametricDist, lp.summable_inner, WeakDual.isClosed_polar, ProbabilityTheory.integrable_cexp_mul_of_re_mem_interior_integrableExpSet, spec_cfcₙAux, ConvexOn.hasDerivWithinAt_sSup_slope_of_mem_interior, hasSum_sum_range_mul_of_summable_norm, DifferentiableOn.inner, StrongDual.extendRCLikeₗᵢ_apply, DifferentiableOn.fun_finset_prod, multipliableUniformlyOn_of_clog, HasDerivAt.ofReal_comp, HasFPowerSeriesWithinOnBall.compContinuousLinearMap, hasFDerivAt_exp_smul_const, Differentiable.inner, UpperHalfPlane.dist_center_dist, LinearMap.mkContinuous₂_norm_le, DifferentiableAt.ofReal_cpow_const, NumberField.mixedEmbedding.negAt_apply_isReal_and_mem, LeftInvariantDerivation.map_smul, hasFDerivAt_jacobiTheta₂, FormalMultilinearSeries.zero_radius, Real.hasDerivAt_log, HasDerivAt.hasFDerivAt_equiv, Complex.isHomeomorphicTrivialFiberBundle_re, ContinuousLinearMap.hasFPowerSeriesAt_bilinear, NumberField.mixedEmbedding.polarSpaceCoord_target', Continuous.cpow, Matrix.IsHermitian.instContinuousFunctionalCalculusIsClosedEmbedding, hasStrictDerivAt_const, fderiv_finset_prod, Metric.unitSphere.coe_zpow, ContinuousLinearMap.self_comp_adjoint_injective_iff, hasStrictFDerivAt_list_prod_attach', Real.Lp.fourierTransformCLM_apply, NumberField.mixedEmbedding.volume_negAt_plusPart, deriv_single, StrongDual.norm_toLpₗ_le, HasStrictDerivAt.scomp, hasFDerivWithinAt_euclidean, HasFPowerSeriesWithinAt.restrictScalars, DifferentiableWithinAt.ccosh, Module.Basis.parallelepiped_eq_map, Asymptotics.IsEquivalent.exists_eq_mul, WeakDual.isBounded_toWeakDual_preimage_iff_isBounded, ContDiffMapSupportedIn.norm_apply_le_seminorm, Complex.deriv_tan, 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, PiTensorProduct.mapLMultilinear_apply_apply, iteratedDeriv_comp_two, HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq, HasFDerivWithinAt.clm_comp, LinearMap.mem_polar_singleton, ContinuousMap.setOfIdeal_eq_compl_singleton, ContinuousLinearMap.evalL_apply, Complex.hasDerivAt_cosh, isBoundedBilinearMap_apply, FormalMultilinearSeries.analyticOnNhd, EisensteinSeries.tendsto_zero_inv_linear, hasDerivAtFilter_iff_tendsto, MeromorphicOn.divisor_fun_inv, Complex.deriv_const_cpow, NormedSpace.expSeries_div_summable_of_mem_ball, RCLike.ofRealCLM_norm, HasStrictDerivAt.comp, Complex.sqrt_map, hasStrictFDerivAt_ringInverse, Complex.UnitDisc.coe_smul_closedBall, ContinuousLinearMap.mul_apply', 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, RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zero, IsUltrametricDist.isUltrametricDist_of_forall_norm_add_one_of_norm_le_one, LinearIsometryEquiv.symm_conjStarAlgEquiv_apply_apply, HasDerivAt.tendsto_slope, DifferentiableOn.fun_pow, RCLike.im_tsum, InnerProductSpace.rankOne_comp_rankOne, MeromorphicOn.circleAverage_log_norm, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, TestFunction.mkCLM_apply, Real.hasStrictDerivAt_arctan, Complex.interior_setOf_re_le, Quaternion.tsum_coe, DirichletCharacter.deriv_LFunctionTrivChar₁_apply_of_ne_one, HasDerivAtFilter.comp_of_eq, lp.instIsCentralScalarSubtypePreLpMemAddSubgroup, AnalyticAt.hasFPowerSeriesAt, hasDerivAtFilter_finCons', Complex.isOpen_im_gt_EReal, Filter.Tendsto.const_cpow, Prod.fst_exp, MeromorphicAt.eventually_eq_zero_or_eventually_ne_zero, ContinuousMap.toLp_injective, nnnorm_apply_le_nnnorm_cfc, TestFunction.fderivCLM_eq_of_scalars, DifferentiableAt.comp_semilinear₁, Matrix.toEuclideanLin_eq_toLin, tendsto_logDeriv_euler_cot_sub, SlashInvariantForm.coe_trace, StrongDual.toLpₗ_of_not_memLp, isConformalMap_complex_linear_conj, fderiv_smul_const, hasDerivWithinAt_finCons', Matrix.isHermitian_iff_isSymmetric, TrivSqZeroExt.instL1IsBoundedSMul, Quaternion.continuous_im, BoundedContinuousFunction.instIsBoundedSMul_1, Continuous.cfc, NumberField.mixedEmbedding.iUnion_negAt_plusPart_union, LSeries_differentiableOn, Asymptotics.Filter.Tendsto.isBigOTVS_one, Matrix.PosSemidef.inv_sqrt, Matrix.IsHermitian.cfcHom_eq_cfcAux, hasStrictFDerivAt_finset_prod, TestFunction.lineDerivCLM_eq_of_scalars, instContMDiffInv₀ModelWithCornersSelf, differentiableAt_riemannZeta, Complex.tendsto_partialGamma, Complex.exp_sub_sum_range_isBigO_pow, deriv_zpow, Complex.tendsto_norm_tan_of_cos_eq_zero, riemannZeta_eulerProduct, Complex.isOpenQuotientMap_zpow_compl_zero, UpperHalfPlane.eventuallyEq_coe_comp_ofComplex, InnerProductSpace.rankOne_comp, Unitary.joined, EisensteinSeries.summable_linear_sub_mul_linear_add, HasDerivWithinAt.comp_hasFDerivAt, hasSum_mellin_pi_mul₀, StrongDual.mem_polarSubmodule, Complex.differentiableAt_sqrt, exists_dual_vector', derivWithin_inv', FormalMultilinearSeries.apply_eq_prod_smul_coeff, Orientation.kahler_rightAngleRotation_left, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, HasDerivWithinAt.scomp, AbsoluteValue.Completion.isClosedEmbedding_extensionEmbedding_of_comp, hasFPowerSeriesWithinAt_pi_iff, DifferentiableWithinAt.div, UnitAddTorus.hasSum_mFourier_series_of_summable, Real.hasDerivAt_mulExpNegMulSq, hasDerivWithinAt_comp_mul_left_smul_iff, hasDerivAt_iff_isLittleO_nhds_zero, SchwartzMap.tsupport_smulLeftCLM_subset, Orientation.kahler_comp_linearIsometryEquiv, HurwitzZeta.hasSum_nat_hurwitzZetaOdd, PadicInt.hasSum_mahler, Real.fourierIntegral_fderiv, Function.Periodic.invQParam_tendsto, InnerProductSpace.toMatrix_rankOne, HasFDerivWithinAt.continuousMultilinear_apply_const, cfcₙHom_real_eq_restrict, PeriodPair.latticeEquiv_symm_apply, differentiableAt_euclidean, MeasureTheory.ComplexMeasure.im_apply, PiTensorProduct.liftIsometry_comp_mapL, Complex.closure_setOf_lt_re, geom_series_mul_one_add, iteratedFDeriv_smul_const_apply, UnitAddTorus.mFourierSubalgebra_separatesPoints, HasStrictDerivAt.fun_const_smul, Complex.betaIntegral_convergent, EisensteinSeries.tsum_tsum_symmetricIco_sub_eq, HasDerivWithinAt.congr_deriv, RCLike.geometric_hahn_banach_open, Asymptotics.isLittleO_iff_exists_eq_mul, MeasureTheory.Lp.instIsBoundedSMul, InnerProductSpace.isSymmetric_rankOne_self, PointedContMDiffMap.instIsScalarTowerSomeENatTopContMDiffMapModelWithCornersSelf, RCLike.ofReal_expect, Seminorm.ball_smul_ball, ContinuousMap.coe_toLp, NumberField.canonicalEmbedding.mem_rat_span_latticeBasis, AnalyticAt.preimage_of_nhdsNE, HurwitzZeta.differentiableAt_update_of_residue, harmonic_is_realOfHolomorphic, Real.hasDerivAt_cosh, PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept, continuousMultilinearCurryLeftEquiv_apply, LeftInvariantDerivation.coe_smul, HasFPowerSeriesAt.deriv, ModularForm.summable_logDeriv_one_sub_eta_q, PeriodPair.weierstrassPSeries_hasSum, differentiable_pow, DifferentiableOn.div, FormalMultilinearSeries.ofScalars_radius_eq_zero_of_tendsto, LSeries_sum, LinearMap.polar_eq_biInter_preimage, Matrix.toEuclideanLin_conjTranspose_eq_adjoint, HasFDerivAt.csin, UpperHalfPlane.comp_ofComplex_of_im_le_zero, derivWithin_csin, Complex.hasDerivAt_sin, fourierCoeff_eq_intervalIntegral, NumberField.mixedEmbedding.continuous_normAtPlace, ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv, hfdifferential_apply, MeasureTheory.Integrable.inner_const, Complex.closure_reProdIm, ContinuousMap.canLift, ProbabilityTheory.hasDerivAt_iteratedDeriv_mgf, Real.hasDerivAt_fourierChar, ContinuousLinearMap.intervalIntegral_apply, WStarAlgebra.exists_predual, span_fourierLp_closure_eq_top, Differentiable.const_mul, HasFDerivWithinAt.comp_hasDerivWithinAt, iteratedDerivWithin_mul, hasDerivAt_intCast, Orientation.kahler_rotation_left, multipliable_sineTerm, Seminorm.absorbent_ball_zero, HasDerivWithinAt.inv, 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, differentiableOn_inverse, Complex.conjCLE_enorm, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, NormedField.completeSpace_iff_isComplete_closedBall, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear, CFC.nnnorm_rpow, FormalMultilinearSeries.leftInv_comp, IsUltrametricDist.isUltrametricDist_of_forall_norm_natCast_le_one, DirichletCharacter.LSeries_eulerProduct_hasProd, spectrum.differentiableOn_inverse_one_sub_smul, Continuous.inner_, HasFPowerSeriesAt.const_smul, iteratedFDeriv_succ_eq_comp_right, Complex.hasSum_conj, derivWithin_comp, ContinuousMultilinearMap.changeOriginSeries_support, PeriodPair.deriv_derivWeierstrassPExcept_self, MeasureTheory.MemLp.mul_const, UpperHalfPlane.meromorphicOrderAt_comp_smul, Differentiable.csinh, ContDiffMapSupportedIn.seminorm_apply, LinearMap.tripolar_eq_polar, RCLike.toIsOrderedAddMonoid, Complex.hasStrictDerivAt_exp, Matrix.exp_units_conj', ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom, DifferentiableAt.clm_comp, GeneralSchauderBasis.ortho, Complex.re_tsum, Continuous.inner, MeasureTheory.Lp.simpleFunc.isBoundedSMul, VectorField.lieBracket_smul_left, 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, EisensteinSeries.q_expansion_bernoulli, deriv_clm_comp, SchwartzMap.convolution_continuous_left, ContinuousLinearMap.adjoint_toSpanSingleton, hasStrictFDerivAt_exp_zero_of_radius_pos, IsStarNormal.instContinuousFunctionalCalculus, ContinuousLinearMap.toBilinForm_injective, Complex.hasStrictDerivAt_cosh, ContDiffMapSupportedIn.structureMapCLM_top_apply, DifferentiableWithinAt.cpow, eigenvalue_mem_ball, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, deriv_ccos, tsum_prod_pow_eq_tsum_sigma, WeakDual.metrizable_of_isCompact, HasFPowerSeriesWithinAt.isBigO_sub_partialSum_pow, Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, Real.hasDerivAt_Gamma_one_half, HasStrictDerivAt.arsinh, toSpanSingleton_derivWithin, NumberField.mixedEmbedding.injective_mixedSpaceOfRealSpace, spectrum.hasFDerivAt_resolvent, deriv_comp_of_eq, HasFiniteFPowerSeriesOnBall.eq_partialSum', continuousAt_cpow_const, GaussianFourier.tendsto_verticalIntegral, apply_le_nnnorm_cfc_nnreal, coe_lpBCFₗᵢ_symm, MeromorphicOn.AnalyticOnNhd.divisor_nonneg, MeromorphicOn.eventually_analyticAt_or_mem_compl, HasDerivAt.comp_hasDerivWithinAt, IsBoundedBilinearMap.toContinuousLinearMap_apply, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, HasFPowerSeriesOnBall.pi, NormedSpace.isCompact_closure_of_isBounded, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm', HasFPowerSeriesWithinOnBall.fderivWithin_eq, Complex.UnitDisc.continuous_coe, ContinuousMultilinearMap.piₗᵢ_symm_apply, RCLike.wInner_one_const_right, AlgHom.coe_toContinuousLinearMap, HasDerivAt.scomp, Matrix.posSemidef_iff_eq_sum_vecMulVec, ContDiffMapSupportedIn.structureMapLM_top_apply, ContinuousLinearMap.ker_adjoint_comp_self, AnalyticAt.analyticOrderAt_ne_top, HasFDerivWithinAt.pow', SchwartzMap.pairing_continuous_left, ConvexOn.univ_sSup_affine_eq, Matrix.ofLp_toEuclideanLin_apply, differentiableAt_const_cpow_of_neZero, tsum_dirichletSummand, HasDerivAt.const_mul, AnalyticOnNhd.codiscrete_setOf_analyticOrderAt_eq_zero_or_top, HasDerivWithinAt.congr, SchwartzMap.integralCLM_apply, EulerSine.tendsto_integral_cos_pow_mul_div, IsCovariantDerivativeOn.add_one_form, InnerProductSpace.rankOne_one_right_eq_toSpanSingleton, hasDerivAt_one, HasDerivAtFilter.fun_neg, Complex.dist_conj_conj, HasStrictFDerivAt.hasStrictDerivAt, circleIntegrable_sub_zpow_iff, Polynomial.fourierCoeff_toAddCircle_natCast, IsBoundedSMul.of_nnnorm_smul_le, Complex.conjCLE_apply, ContinuousMap.spectrum_eq_range, NormedSpace.polar_ball, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, innerSLFlip_apply, ContinuousAt.clm_bundle_apply₂, FormalMultilinearSeries.div_le_radius_compContinuousLinearMap, fderivWithin_derivWithin, hasDerivAt_const_mul, HasDerivWithinAt.ccos, fourierCoeffOn_of_hasDerivAt_Ioo, hasLineDerivAt_iff_tendsto_slope_zero, InnerProductSpace.toContinuousLinearMap_toDualMap, HasFDerivAt.list_prod', Complex.differentiable_one_div_Gamma, Valued.integer.properSpace_iff_compactSpace_integer, fderiv_continuousMultilinearMapCompContinuousLinearMap, completeSpace_of_cauSeq_isComplete, HasDerivWithinAt.smul_const, Polynomial.fderivWithin_aeval, Continuous.const_cpow, contDiff_nat_iff_continuous_differentiable, hasFDerivAt_pow', absorbent_ball, UpperHalfPlane.cosh_half_dist, SchwartzMap.lineDerivOp_fourierInv_eq, LinearIsometryEquiv.symm_conjStarAlgEquiv, EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt, Submodule.topologicalClosure_eq_top_iff, hasDerivAt_abs, NumberField.mixedEmbedding.stdBasis_apply_isReal, DirichletCharacter.LSeries_eulerProduct_exp_log, Polynomial.fderivWithin, HasFDerivWithinAt.const_cpow, HasFiniteFPowerSeriesOnBall.add, ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le, IsLocalFrameOn.eq_iff_coeff, SummableLocallyUniformlyOn.differentiableOn, 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, MultilinearMap.mkContinuousMultilinear_norm_le, tendsto_tprod_one_add_of_dominated_convergence, WeakDual.CharacterSpace.norm_le_norm_one, ContDiffMapSupportedIn.monoCLM_eq_zero, Matrix.linfty_opNorm_toMatrix, hasDerivAt_natCast, cfcL_integral, NumberField.mixedEmbedding.instDiscreteTopologySubtypeMixedSpaceMemSubmoduleIntIntegerLattice, HasDerivAtFilter.fun_sub, ContinuousMap.coeFn_toLp, HasDerivWithinAt.union, ProbabilityTheory.differentiableOn_complexMGF, innerSL_apply_norm, Real.hasDerivAt_Gamma_one, InnerProductSpace.toDual_apply_eq_toDualMap_apply, Real.fourier_bilin_convolution_eq_integral, Real.hasStrictDerivAt_cos, PeriodPair.deriv_weierstrassPExcept_same, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_symm_apply, ContinuousWithinAt.clm_bundle_apply₂, Function.Periodic.qParam_tendsto, Unitary.isPathConnected_ball, 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, hasStrictFDerivAt_exp_zero, ContinuousLinearMap.norm_compL_le, integrableOn_Ioi_cpow_of_lt, RCLike.hasSum_iff, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, EulerSine.antideriv_cos_comp_const_mul, fderivWithin_clm_comp, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_eq_of_scalars, Complex.instTietzeExtension, AccPt.uniqueDiffWithinAt, HasDerivWithinAt.congr_set, MeasureTheory.MemLp.haarAddCircle, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, HasFPowerSeriesAt.sub, IntervalIntegrable.continuousOn_mul, NumberField.InfinitePlace.Completion.algebraMap_coe, ProperSpace.of_locallyCompact_module, hasDerivWithinAt_zpow, OrthogonalFamily.range_linearIsometry, NumberField.mixedEmbedding.convexBodyLT_convex, hasFPowerSeriesOnBall_cuspFunction, Complex.instT2Space, Monotone.deriv_nonneg, UpperHalfPlane.exp_half_dist, fderivWithin_inv, locallyIntegrableOn_mul_sum_Icc, fderiv_continuousMultilinear_apply_const, Orientation.kahler_mul, derivWithin_fun_finset_prod, HasDerivWithinAt.smul, GaussianFourier.integral_cexp_neg_mul_sum_add, Complex.continuous_ofReal_cpow_const, HasDerivAt.real_of_complex, DifferentiableOn.pow, NormedSpace.isEmbedding_inclusionInDoubleDualWeak, ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv, ContinuousLinearMap.opNNNorm_mul_flip_apply, ContinuousLinearMap.compLeftContinuousBounded_apply, HasDerivWithinAt.fun_pow, WeakDual.isBounded_polar, TensorProduct.norm_lid, HasDerivWithinAt.finset_prod, HasFPowerSeriesOnBall.hasFDerivAt, MeasureTheory.charFun_eq_charFunDual_toDualMap, Matrix.instIsOrderedAddMonoid, Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero, egauge_eq_zero_iff, HurwitzZeta.differentiableAt_completedCosZeta, fourier_neg, HasDerivWithinAt.mono, Summable.mul_tendsto_const, HasMFDerivAt.prod, fderivWithin_csin, Function.Periodic.eventually_differentiableAt_cuspFunction_nhds_ne_zero, LSeries.tendsto_cpow_mul_atTop, ContinuousMultilinearMap.curryMid_apply, norm_cfc_le, ContinuousAt.cpow, ArithmeticFunction.vonMangoldt.LSeries_residueClass_eq, HasFDerivWithinAt.comp_hasDerivAt, ConvexOn.hasDerivWithinAt_sInf_slope_of_mem_interior, SchwartzMap.compCLM_apply, EisensteinSeries.tendsto_double_sum_S_act, iter_deriv_inv', toMatrix_innerSL_apply, TemperedDistribution.fourierMultiplierCLM_apply_apply, HasDerivAt.eventually_notMem, WeakDual.CharacterSpace.mem_spectrum_iff_exists, ClosedSubmodule.sInf_orthogonal, HasDerivWithinAt.tendsto_nhdsWithin_nhdsNE, HasDerivAt.mul, ContinuousMap.toLp_comp_toContinuousMap, PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm, Matrix.PosSemidef.re_dotProduct_nonneg, ContMDiff.clm_postcomp, Complex.sinh_eq_tsum, BoundedContinuousFunction.toContinuousMapStarₐ_apply_apply, continuousAt_jacobiTheta₂, HurwitzZeta.hasSum_nat_hurwitzZetaEven_of_mem_Icc, instSMulCommClass_sphere_ball_ball, NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology, Metric.unitSphere.coe_pow, Polynomial.isOpenQuotientMap_eval, fderivWithin_continuousAlternatingMap_apply_const, CStarAlgebra.rpow_neg_one_le_one, EulerSine.antideriv_sin_comp_const_mul, Complex.differentiableAt_cosh, NumberField.mixedEmbedding.fundamentalCone.logMap_expMap, Differentiable.fun_finset_prod, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn, MDifferentiableWithinAt.clm_postcomp, 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, MeasureTheory.AEEqFun.Integrable.smul, PadicInt.totallyBounded_univ, HasDerivWithinAt.const_smul, Derivative.normalizedDerivOfComplex_mdifferentiable, Complex.deriv_cos', Complex.imCLM_coe, lp.hasSum_inner, iteratedDeriv_comp_eq_sum_orderedFinpartition, Complex.isQuotientMap_im, HasDerivWithinAt.hasDerivAt, ContinuousLinearMap.opNorm_mul_apply_le, deriv_smul_const, HasFPowerSeriesAt.tendsto_partialSum, circleAverage_log_norm_factorizedRational, DifferentiableAt.cpow_const, deriv_pow_field, ContinuousLinearMap.orthogonal_range, HasFiniteFPowerSeriesAt.add, HasFPowerSeriesAt.hasDerivAt, hasDerivWithinAt_congr_set', MeromorphicOn.min_divisor_le_divisor_add, MeasureTheory.MemLp.mul', HasDerivWithinAt.rpow_const, AnalyticAt.eventually_eq_or_eventually_ne, ordinaryHypergeometricSeries_eq_zero_iff, Polynomial.hasDerivAt_aeval, MeasureTheory.stronglyMeasurable_charFun, PeriodPair.instDiscreteTopologySubtypeComplexMemSubmoduleIntLattice, HasFDerivAt.linear_multilinear_comp, HasStrictFDerivAt.continuousMultilinearMapCompContinuousLinearMap, Quaternion.norm_exp, TestFunction.fderivCLM_apply_of_gt, hasDerivAt_gronwallBound, hasDerivWithinAt_const_add_iff, Quaternion.continuous_coe, Complex.continuous_ofReal, deriv_finset_prod, 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, NormedField.tendsto_norm_zpow_nhdsNE_zero_atTop, TendstoLocallyUniformlyOn.fun_inv₀, deriv_div, Polynomial.C_eq_or_isOpenQuotientMap_eval, Complex.derivWithin_const_cpow, hasDerivAt_ofReal_cpow_const, EisensteinSeries.summable_e2Summand_symmetricIcc, hasDerivAt_norm_rpow, ContinuousLinearMap.spectrum_eq, UnitAddTorus.hasSum_prod_mFourierCoeff, Padic.withValUniformEquiv_cast_apply, TendstoUniformlyOn.comp_cexp, NumberField.mixedEmbedding.latticeBasis_apply, HasFDerivAt.hasDerivAt, LeftInvariantDerivation.map_sub, Matrix.PosSemidef.dotProduct_mulVec_zero_iff, spectrum.exp_mem_exp, HasStrictDerivAt.fun_sub, HasDerivWithinAt.star, Unitization.isUniformEmbedding_addEquiv, differentiableWithinAt_inverse, NormedSpace.exp_neg, BoundedContinuousFunction.star_mem_range_charAlgHom, SchwartzMap.integral_mul_deriv_eq_neg_deriv_mul, AnalyticAt.eventually_eq_zero_or_eventually_ne_zero, MeromorphicOn.extract_zeros_poles, ContinuousOn.cfc', HasDerivAtFilter.prodMk, cfcₙAux_mem_range_inr, ContinuousLinearMap.norm_bilinearRestrictScalars, eventuallyConst_nhdsNE_iff_meromorphicOrderAt_sub_eq_top, PiTensorProduct.liftIsometry_apply_apply, DifferentiableOn.inverse, ContinuousMultilinearMap.prodL_symm_apply, ContinuousMap.adjoin_id_eq_span_one_add, DifferentiableWithinAt.clog, LeftInvariantDerivation.map_neg, Complex.sin_eq_tsum, ContinuousMultilinearMap.analyticWithinAt_uncurry_of_linear, HasDerivAt.sum, ProbabilityTheory.covarianceBilin_map, differentiableAt_jacobiTheta₂_snd, Padic.coe_withValRingEquiv, AnalyticOnNhd.sum_divisor_le, HasFPowerSeriesOnBall.prod, Unitization.nnnorm_eq_sup, TendstoLocallyUniformlyOn.differentiableOn, HasFPowerSeriesWithinOnBall.neg, NumberField.mixedEmbedding.measurable_polarCoord_symm, norm_deriv_eq_norm_fderiv, Real.tsum_eq_tsum_fourier_of_rpow_decay, IsUltrametricDist.normedAlgebra_iff, PadicInt.fwdDiff_mahlerSeries, 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, Complex.isOpen_im_lt_EReal, SchwartzMap.derivCLM_apply, Matrix.toLin_finTwoProd_toContinuousLinearMap, RCLike.map_nonneg_iff, hasSum_fourier_series_of_summable, NormedSpace.exp_smul, MeromorphicOn.negPart_divisor_add_le_max, LinearMap.toContinuousLinearMap₁_apply, Polynomial.div_tendsto_atBot_zero_iff_degree_lt, hasDerivAtFilter_iff_hasFDerivAtFilter, hasDerivWithinAt_inter', Complex.hasStrictDerivAt_cpow_const, HasDerivWithinAt.scomp_hasDerivAt, MDifferentiableOn.clm_precomp, WithAbs.isUniformInducing_of_comp, VectorField.lieBracketWithin_smul_right, mellin_differentiableAt_of_isBigO_rpow_exp, hasDerivAt_exp_smul_const_of_mem_ball', Real.hasDerivAt_arctan', ContinuousMap.linearIsometryBoundedOfCompact_apply_apply, Asymptotics.isEquivalent_iff_tendsto_one, differentiable_neg, 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, Padic.isUniformInducing_cast_withVal, HasCompactSupport.hasDerivAt_convolution_left, PadicInt.continuous_multichoose, Complex.hasSum_taylorSeries_neg_log, Polynomial.hasStrictDerivAt, PeriodPair.hasSumLocallyUniformly_aux, deriv_const_mul, HasDerivWithinAt.cexp, TendstoLocallyUniformly.inv₀_of_disjoint, VectorFourier.integral_bilin_fourierIntegral_eq_flip, deriv_clm_apply, Real.hasStrictDerivAt_arcsin, SchwartzMap.integral_clm_comp_deriv_right_eq_neg_left, Metric.unitClosedBall.coe_one, HasFPowerSeriesWithinOnBall.add, NumberField.mixedEmbedding.commMap_apply_of_isReal, derivWithin_fun_pow, AffineMap.hasStrictDerivAt, InnerProductSpace.toLinearMap_rankOne, ContinuousLinearMap.comp_hasFPowerSeriesOnBall, HasDerivWithinAt.Ioi_of_Ici, 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, HasMFDerivWithinAt.mul, NumberField.mixedEmbedding.polarCoord_apply, TemperedDistribution.instLineDerivSMulComplex, ProbabilityTheory.integrable_pow_abs_mul_cexp_of_re_mem_interior_integrableExpSet, euler_sineTerm_tprod, MeasureTheory.MemLp.of_haarAddCircle, HasStrictFDerivAt.clm_apply, NormedField.discreteTopology_of_bddAbove_range_norm, ContMDiffAt.clm_bundle_apply₂, ContDiffMapSupportedIn.fderivLM_apply, summable_geometric_iff_norm_lt_one, ProbabilityTheory.integrable_pow_mul_cexp_of_re_mem_interior_integrableExpSet, ArithmeticFunction.vonMangoldt.continuousOn_LFunctionResidueClassAux, continuousMultilinearCurryRightEquiv_symm_apply', ContinuousAlternatingMap.fderivCompContinuousLinearMap_apply, TendstoLocallyUniformly.inv₀, WeakDual.isCompact_of_bounded_of_closed, ContDiffMapSupportedIn.continuousSMul, Real.hasStrictDerivAt_sin, StrongDual.zero_mem_polar, summable_pow_mul_geometric_of_norm_lt_one, Subalgebra.frontier_spectrum, BoundedContinuousFunction.coe_toContinuousMapₐ, ContDiffMapSupportedIn.structureMapLM_zero_injective, toSpanSingleton_deriv, ContinuousLinearMapWOT.continuous_inducingFn, GaussianFourier.integrable_cexp_neg_mul_sq_norm_add, Complex.equivRealProdCLM_symm_apply_re, DifferentiableOn.cexp, HasDerivWithinAt.fun_add, EulerProduct.one_sub_inv_eq_geometric_of_summable_norm, LinearMap.isStarProjection_toContinuousLinearMap_iff, MeromorphicOn.divisor_smul, UpperHalfPlane.sinh_half_dist_add_dist, NumberField.mixedEmbedding.continuous_normAtAllPlaces, iteratedDerivWithin_eq_equiv_comp, PeriodPair.isClosed_of_subset_lattice, Polynomial.differentiableAt, MeasureTheory.L2.integrable_inner, IsCompact.reProdIm, LinearPMap.adjointDomainMkCLMExtend_apply, HasDerivAt.const_add, WithAbs.pseudoMetricSpace_induced_of_comp, BoundedContinuousFunction.toLp_norm_le, iteratedFDerivWithin_two_apply, extDerivWithin_smul, fderiv_ccosh, NormedSpace.expSeries_div_hasSum_exp, PeriodPair.not_continuousAt_weierstrassP, ContDiffMapSupportedIn.seminorm_postcompLM_le, DoubleCentralizer.coe_fst, Filter.Tendsto.cfc_nnreal, HasDerivAt.prodMk, HasStrictFDerivAt.fun_smul, Complex.one_div_one_sub_sq_hasFPowerSeriesOnBall_zero, HasStrictFDerivAt.cpow, HurwitzZeta.differentiable_cosZeta_of_ne_zero, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, fderiv_fun_mul, Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO, NumberField.mixedEmbedding.latticeBasis_repr_apply, Submodule.adjoint_orthogonalProjection, Complex.deriv_cpow_const, HasFDerivAt.pow', HasStrictFDerivAt.pow', ContinuousMapZero.instCStarRing, NormedField.instCompletableTopField, Complex.IsConservativeOn.hasDerivAt_wedgeIntegral, hasFDerivWithinAt_iff_hasGradientWithinAt, CurveIntegrable.smul, ContinuousLinearMap.hasFDerivAt_of_bilinear, FormalMultilinearSeries.min_radius_le_radius_add, hasStrictDerivAt_one, Complex.summable_one_div_nat_cpow, HasDerivWithinAt.of_isLittleO, contMDiffAt_iff_localFrame_coeff, tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm, Complex.nndist_conj_comm, StrongDual.extendRCLike_apply, Filter.tendsto_mul_left_cobounded, ContinuousLinearMap.closed_range_of_antilipschitz, HasStrictFDerivAt.multiset_prod, EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum, HasDerivAt.div_const, HasDerivAt.scomp_of_eq, VonNeumannAlgebra.coe_toStarSubalgebra, Matrix.toEuclideanLin_apply_piLp_toLp, 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, TensorialAt.mkHom₂_apply, ContinuousAlternatingMap.curryLeft_add, NumberField.AdeleRing.algebraMap_fst_apply, hasFDerivAt_integral_of_dominated_of_fderiv_le, HasFPowerSeriesAt.pi, HasFPowerSeriesWithinOnBall.tendstoUniformlyOn', Filter.HasBasis.isVonNBounded_iff, ContDiffMapSupportedIn.toBoundedContinuousFunctionLM_apply, hasStrictDerivAt_pi, ContDiff.hasStrictDerivAt, HasFDerivWithinAt.smul, summable_prod_eisSummand, mdifferentiable_jacobiTheta, Matrix.linfty_opNorm_eq_opNorm, HasDerivAt.cexp, nnnorm_cfc_lt_iff, ContinuousAlternatingMap.prodLIE_apply, RCLike.ofReal_tsum, hasDerivAt_pow, contDiff_succ_iff_deriv, NormedRing.inverse_add_norm_diff_first_order, Complex.instProperSpace, ftaylorSeries_zero, DifferentiableOn.ccosh, integrableOn_mul_sum_Icc, EuclideanSpace.dist_eq, MeasureTheory.Integrable.mul_const, NumberField.mixedEmbedding.normAtPlace_negAt, PadicInt.mahlerEquiv_apply, Complex.nndist_conj_conj, Polynomial.div_tendsto_atTop_zero_of_degree_lt, SchwartzMap.convolution_flip, HasDerivWithinAt.isLittleO, HasDerivAt.rpow_const, continuousSMul_closedBall_closedBall, ContinuousLinearMap.opNorm_flip, contDiffOn_succ_iff_derivWithin, tsum_mul_tsum_of_summable_norm', 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, HasStrictFDerivAt.mul_const', ContinuousLinearMap.IsPositive.adjoint_conj, EisensteinSeries.G2_eq_tsum_cexp, HasDerivAt.div, 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, LinearMap.bound_of_sphere_bound, Real.hasStrictDerivAt_sqrt, Complex.hasDerivAt_Gamma_one, TemperedDistribution.fourierMultiplierCLM_sum, PeriodPair.hasSum_weierstrassPExcept, 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, ContDiffWithinAt.smulRight, ProbabilityTheory.hasDerivAt_iteratedDeriv_complexMGF, HasDerivWithinAt.congr_of_eventuallyEq, Real.hasDerivAt_tan_of_mem_Ioo, NumberField.mixedEmbedding.finrank, ContinuousLinearMap.star_eq_adjoint, AffineMap.differentiableOn, Complex.imCLM_nnnorm, FormalMultilinearSeries.comp_rightInv, ContinuousMultilinearMap.curryLeft_apply, differentiableAt_pow, AlgHom.toContinuousLinearMap_norm, iteratedDeriv_comp_three, EisensteinSeries.qExpansion_identity, HasStrictDerivAt.fun_neg, Polynomial.hasFDerivWithinAt_aeval, HasFPowerSeriesWithinAt.neg, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one, UpperHalfPlane.contMDiffAt_ofComplex, continuousOn_cfcₙ_setProd, Real.hasDerivAt_exp, fourierSubalgebra_closure_eq_top, Differentiable.div_const, GaussianFourier.integral_cexp_neg_sum_mul_add, ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_pow, NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply, hasStrictDerivAt_inv, RCLike.wInner_one_const_left, circleIntegrable_sub_inv_iff, fderivWithin_list_prod', AlternatingMap.mkContinuousLinear_norm_le, ModularFormClass.bounded_at_infty_comp_ofComplex, ProperCone.hyperplane_separation_of_notMem, HasStrictDerivAt.ccosh, NumberField.mixedEmbedding.convexBodySum_isBounded, LinearMap.continuous_of_isClosed_ker, ContinuousOn.const_cpow, fderiv_clm_apply, Complex.sameRay_iff_arg_div_eq_zero, Complex.arg_eq_nhds_of_im_pos, ModularForm.holo', ContinuousAlternatingMap.curryLeftLI_apply, Complex.tendsto_one_add_pow_exp_of_tendsto, LDL.diag_eq_lowerInv_conj, eventuallyConst_iff_analyticOrderAt_sub_eq_top, NumberField.mixedEmbedding.polarSpaceCoord_apply, HasDerivAt.iterate, tsum_eisSummand_eq_tsum_sigma_mul_cexp_pow, Padic.coe_withValRingEquiv_symm, iteratedFDerivWithin_zero_eq_comp, HasFiniteFPowerSeriesAt.sub, differentiableAt_iff_comp_add_const, Complex.starConvex_slitPlane, HasFDerivWithinAt.fun_mul', ContinuousLinearMap.norm_compSL_le, TestFunction.monoCLM_apply, BoundedContinuousFunction.toContinuousMapₐ_apply, fderivWithin_smul_const, ContDiffMapSupportedIn.withSeminorms, MeasureTheory.withDensityᵥ_smul, ProbabilityTheory.IndepFun.integrable_right_of_integrable_mul, LinearMap.polar_isClosed, NumberField.mixedEmbedding.negAt_apply_norm_isReal, innerₛₗ_apply, deriv_inner_apply, NormedSpace.continuousOn_exp, Complex.log_sub_logTaylor_isBigO, differentiable_completedZeta₀, innerSL_apply, Filter.Tendsto.cexp, ContMDiffMap.smul_comp', hasStrictFDerivAt_list_prod, Metric.unitSphere.coe_div, HurwitzZeta.hasSum_int_sinZeta, CFC.log_le_log, spectrum.resolvent_tendsto_cobounded, Complex.differentiable_sinh, Seminorm.absorbent_closedBall, Summable.hasProdLocallyUniformlyOn_nat_one_add, InnerProductSpace.isIdempotentElem_rankOne_self_iff, HasDerivAt.tendsto_slope_zero, Matrix.isUnit_exp, fderivWithin_continuousLinearEquiv_comp, HasDerivAtFilter.hasFDerivAtFilter, iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsum, hasDerivAtFilter_pi, Complex.summable_log_one_add_of_summable, Function.Periodic.tendsto_at_I_inf, StrongDual.toLp_apply, MeasureTheory.Integrable.div_const, StrongDual.polar_empty, ArithmeticFunction.LSeries_zeta_eulerProduct_exp_log, ContinuousLinearMap.coe_flipₗᵢ, HasGradientAtFilter.tendsto_nhds, ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty, ModularFormClass.hasSum_qExpansion_of_norm_lt, DifferentiableWithinAt.fun_finset_prod, uniformContinuousOn_inv₀, Complex.volume_ball, Real.deriv_fourierChar, hasDerivAtFilter_const_add_iff, LinearMap.continuous_iff_isClosed_ker, TemperedDistribution.derivCLM_toTemperedDistributionCLM_eq, HasStrictDerivAt.sinh, cpow_eq_nhds', MeasureTheory.Lp.coe_LpSubmodule, hasDerivWithinAt_abs_neg, ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty, StieltjesFunction.ae_hasDerivAt, NormedDivisionRing.to_isTopologicalDivisionRing, Continuous.clm_bundle_apply₂, instSMulCommClass_closedBall_closedBall_ball, jacobiTheta_eq_tsum_nat, LeftInvariantDerivation.coe_zero, contDiff_infty_iff_deriv, PositiveLinearMap.norm_apply_le_of_nonneg, fderivWithin_pow_ring', ContinuousLinearMap.analyticOn_uncurry_of_multilinear, Complex.UnitDisc.instSMulCommClass_circle_closedBall, Complex.differentiable_iteratedDeriv_sinh, FormalMultilinearSeries.changeOrigin_eval, Unitization.nndist_inr, LSeries.term_sum_apply, NormedRing.inverse_continuousAt, LinearMap.toSeminorm_ball_zero, ContinuousAlternatingMap.norm_alternatizeUncurryFin_le, DifferentiableAt.cexp, UpperHalfPlane.contMDiffAt_iff, iter_deriv_inv_linear_sub, Orientation.kahler_apply_apply, RCLike.imCLM_coe, Complex.nhdsWithin_stolzCone_le_nhdsWithin_stolzSet, IsSelfAdjoint.adjoint_conj, DifferentiableOn.const_mul, Complex.taylorSeries_eq_on_eball', VectorFourier.fourierIntegral_continuousMultilinearMap_apply, Complex.differentiableAt_sinh, HasDerivAt.inner, MeasureTheory.Integrable.fintype_prod, HasFPowerSeriesAt.prod, DifferentiableWithinAt.zpow, LinearMap.toSeminorm_apply, hasDerivAt_ofReal_cpow_const', hasStrictDerivAt_natCast, Complex.hasDerivAt_Gamma_one_half, Function.Periodic.differentiable_qParam, ModularForm.slash_def, Complex.continuous_tan, MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff, LeftInvariantDerivation.toDerivation_injective, PeriodPair.differentiableOn_weierstrassPExcept, HasFPowerSeriesAt.isBigO_sub_partialSum_pow, AlternatingMap.mkContinuousAlternating_norm_le_max, Complex.analyticOnNhd_iff_differentiableOn, Real.differentiable_fourierChar_neg_bilinear_right, OrthonormalBasis.sum_rankOne_eq_id, Complex.conjCLE_norm, MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot, norm_apply_le_norm_cfc, hasDerivAt_finCons', HasStrictDerivAt.hasDerivAt, MeasureTheory.Lp.toTemperedDistribution_toLp_eq, Complex.differentiableAt_log, LeftInvariantDerivation.evalAt_mul, absorbs_iff_eventually_nhds_zero, differentiableAt_completedZeta, isScalarTower_sphere_ball_ball, Absorbs.of_norm, PeriodPair.derivWeierstrassPExcept_add_coe, HasFPowerSeriesWithinAt.add, ContDiffMapSupportedIn.fderivCLM_apply_of_le, MeasureTheory.BoundedContinuousFunction.inner_toLp, Complex.isQuotientMap_re, ContinuousLinearMap.adjoint_inner_right, exists_extension_norm_eq, AnalyticOn.hasFPowerSeriesOnBall, Complex.dist_conj_comm, HasFDerivWithinAt.fun_pow', CuspFormClass.zero_at_infty_slash, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, hasStrictDerivAt_exp_zero_of_radius_pos, summable_sum_mul_antidiagonal_of_summable_norm', differentiableAt_conj_conj_iff, HasStrictFDerivAt.continuousAlternatingMap_apply_const, NormedSpace.closedBall_inv_subset_polar_closedBall, integrable_cfc, ContDiffMapSupportedIn.postcompLM_apply, PeriodPair.differentiableOn_weierstrassP, UnitAddTorus.span_mFourier_closure_eq_top, ContinuousLinearMap.norm_smulRightL_le, derivWithin_neg, MeasureTheory.withDensityᵥ_smul', NormedSpace.expSeries_radius_pos, Complex.imCLM_enorm, TemperedDistribution.smulLeftCLM_smulLeftCLM_apply, hasDerivAtFilter_const, SchwartzMap.tsupport_derivCLM_subset, hasDerivAt_single, EisensteinSeries.tendsto_tsum_one_div_linear_sub_succ_eq, PadicInt.norm_mahler_eq, UpperHalfPlane.mdifferentiable_coe, ContinuousLinearMap.coe_symm_flipMultilinearEquiv, Complex.hasProd_of_hasSum_log, nnnorm_cfc_nnreal_lt_iff, MDifferentiableOn.mul, Complex.arg_eq_nhds_of_re_pos, hasStrictDerivAt_exp_of_mem_ball, FormalMultilinearSeries.radius_prod_eq_min, ContinuousOn.inner, StrongDual.im_extendRCLike_apply, complexOfReal_fderiv, summable_cotTerm, fderivWithin_mul_const, continuousAt_jacobiTheta₂', NormedSpace.algebraMap_exp_comm_of_mem_ball, continuous_cfcₙAux, RCLike.wInner_one_eq_sum, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, derivWithin_finset_prod, derivWithin_div, Asymptotics.isLittleO_iff_tendsto, HasFDerivAt.mul_const', norm_cfcHom, PeriodPair.weierstrassPExceptSeries_hasSum, KuratowskiEmbedding.embeddingOfSubset_dist_le, EisensteinSeries.eisSummand_extension_differentiableOn, EuclideanSpace.dist_sq_eq, TendstoLocallyUniformly.fun_div₀, ContinuousLinearMap.le_of_opNorm₂_le_of_le, Orientation.kahler_rotation_right, Complex.ofRealCLM_enorm, DifferentiableOn.mul_const, Complex.isOpenQuotientMap_pow_compl_zero, Complex.IsExactOn.with_val_at, ContinuousMultilinearMap.currySum_apply, isOpenMap_barycentric_coord, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, tendsto_sum_mul_atTop_nhds_one_sub_integral, NormSMulClass.toIsBoundedSMul, Complex.deriv_sinh, 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, geom_series_mul_neg, UnitAddTorus.hasSum_mFourier_series_apply_of_summable, WeakDual.CharacterSpace.equivAlgHom_coe, HasStrictFDerivAt.fun_pow', Valued.toNormedField.setOf_mem_integer_eq_closedBall, continuousMultilinearCurryRightEquiv_apply', ContinuousLinearMap.flipₗᵢ'_symm, TestFunction.instLineDerivSMulTopENat, EuclideanSpace.inner_toLp_toLp, NumberField.mixedEmbedding.polarSpaceCoord_source, TemperedDistribution.lineDerivOp_fourierInv_eq, CFC.norm_rpow, Complex.hasSum_taylorSeries_log, fourierCoeffOn_eq_integral, Differentiable.clog, MeromorphicOn.negPart_divisor_add_le_add, UpperHalfPlane.dist_coe_le, CompactConvergenceCLM.continuousSMul, mfderiv_smul, HasFiniteFPowerSeriesOnBall.hasFDerivAt, 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, Units.contMDiff_val, DirichletCharacter.LFunctionTrivChar_residue_one, Complex.hasDerivAt_tan, HasDerivAtFilter.finCons, Complex.lintegral_comp_pi_polarCoord_symm, IsBoundedSMul.of_norm_smul_le, 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, Filter.Tendsto.inner, ContDiffMapSupportedIn.fderivCLM_apply, PadicInt.continuousAddCharEquiv_symm_apply, RCLike.geometric_hahn_banach_of_nonempty_interior, MeasureTheory.Integrable.const_inner, hasStrictDerivAt_exp_smul_const_of_mem_ball', Differentiable.fun_mul, LSeriesHasSum.sum, ContinuousLinearMap.extendTo𝕜'_apply, TestFunction.fderivCLM_apply, continuous_descPochhammer_eval, IsLocalFrameOn.coeff_eq_of_eq, ContDiff.differentiable_iteratedDeriv', ContinuousLinearMap.isAdjointPair_inner, Complex.equivRealProdCLM_symm_apply_im, AddChar.linearIndependent, Complex.polarCoord_symm_apply, 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, DifferentiableWithinAt.cexp, summable_bernoulli_fourier, RCLike.re_extendTo𝕜ₗ, ModularFormClass.differentiableOn_cuspFunction_ball, Unitization.splitMul_injective, Antitone.deriv_nonpos, ZMod.differentiable_completedLFunction₀, ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id, ContDiffMapSupportedIn.continuous_iff_comp, PeriodPair.periodic_weierstrassP, differentiable_tsum', MonotoneOn.nnnorm_cfc, ModularFormClass.holo, Complex.differentiableOn_update_limUnder_insert_of_isLittleO, Metric.unitClosedBall.coe_pow, HasStrictDerivAt.div_const, HasStrictDerivAt.fun_mul, Polynomial.differentiable, FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite, PadicInt.isOpenEmbedding_coe, ContinuousLinearEquiv.coord_norm', completedRiemannZeta_residue_one, deriv_fun_pow, EisensteinSeries.summable_e2Summand_symmetricIco, fderivWithin_continuousAlternatingMap_apply, GaussianFourier.integrable_cexp_neg_sum_mul_add, HasDerivAt.fun_inv, cfc_setIntegral', iteratedDerivWithin_comp_eq_sum_orderedFinpartition, DifferentiableAt.div_const, ProbabilityTheory.hasDerivAt_mgf, OrthonormalBasis.toMatrix_orthonormalBasis_self_mul_conjTranspose, HasFPowerSeriesAt.eq_zero_of_eventually, Metric.unitClosedBall.instIsCancelMulZero, Complex.hasSum_sinh, HasDerivWithinAt.continuousOn, NumberField.mixedEmbedding.polarCoord_target_eq_polarCoordReal_target, hasStrictFDerivAt_inv', LinearMap.mem_span_iff_bound, hasFDerivAt_exp_smul_const_of_mem_ball', hasDerivAt_mul_const, HasDerivAt.scomp_hasDerivWithinAt, SchwartzMap.smulLeftCLM_sub, TemperedDistribution.smulLeftCLM_const, SchwartzMap.smulLeftCLM_apply_apply, deriv_inv', deriv_descPochhammer_eval_eq_sum_prod_range_erase, HasStrictDerivAt.add_const, MeromorphicAt.eventuallyEq_nhdsNE_of_eventuallyEq_codiscreteWithin, DifferentiableOn.clog, derivWithin_id, Differentiable.mul, ContinuousOn.cpow, SchwartzMap.fourier_fderivCLM_eq, Unitary.conjStarAlgAut_symm_unitaryLinearIsometryEquiv, hasStrictFDerivAt_exp_smul_const, 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, Complex.hasStrictFDerivAt_log_real, Complex.differentiableAt_Gamma, ContinuousOn.clog, derivWithin_mul, iteratedFDeriv_two_apply, Real.hasStrictDerivAt_tan, WeakDual.isSeqCompact_of_isBounded_of_isClosed, UpperHalfPlane.dist_le_iff_le_sinh, RCLike.wInner_cWeight_const_right, TemperedDistribution.smulLeftCLM_sum, mahler_apply, NumberField.InfinitePlace.Completion.WithAbs.ratCast_equiv, HasStrictFDerivAt.mul, iter_deriv_inv_linear, EisensteinSeries.summable_right_one_div_linear_sub_one_div_linear_succ, HurwitzZeta.differentiableAt_cosZeta, sum_mul_eq_sub_sub_integral_mul', AffineMap.differentiable, Irreducible.maximalIdeal_pow_eq_closedBall_pow, Complex.IsConservativeOn.isExactOn_ball, Summable.hasProdUniformlyOn_one_add, Complex.hasSum_sin', jacobiTheta₂_fderiv_undef, ContDiffOn.continuousOn_deriv_of_isOpen, WeakDual.toStrongDual_apply, DifferentiableAt.finset_prod, HasDerivWithinAt.cpow_const, ContinuousMap.elemental_id_eq_top, NumberField.mixedEmbedding.euclidean.finrank, instPerfectSpace, MDifferentiable.clm_precomp, Complex.arg_eq_nhds_of_re_neg_of_im_pos, Metric.unitClosedBall.coe_eq_one, Real.differentiable_fourierChar_neg_bilinear_left, FormalMultilinearSeries.enorm_compContinuousLinearMap_le, ContDiffMapSupportedIn.fderivLM_apply_of_le, EisensteinSeries.summable_linear_right_add_one_mul_linear_right, DifferentiableOn.fun_div, gelfandTransform_isometry, FormalMultilinearSeries.le_radius_pi, Real.hasDerivAt_arctan, UpperHalfPlane.σ_conj, continuousMultilinearCurryLeftEquiv_symm_apply, QuotientAddGroup.integral_mul_eq_integral_automorphize_mul, UnitAddTorus.mFourierCoeff_eq_integral, hasDerivAt_exp_smul_const', 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, Polynomial.isBigO_cobounded_of_degree_le, Complex.deriv_sqrt, AnalyticOnNhd.map_codiscreteWithin, HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, innerₛₗ_apply_coe, MeasureTheory.SignedMeasure.toComplexMeasure_apply_im, iteratedDerivWithin_scomp_two, fderiv_csinh, Complex.sin_eq_tsum', PiLp.inner_apply, mellin_differentiableAt_of_isBigO_rpow, ContinuousAt.clog, Complex.one_add_cpow_hasFPowerSeriesOnBall_zero, Complex.reCLM_norm, ContinuousMap.norm_smul_const, iteratedFDeriv_succ_eq_comp_left, UpperHalfPlane.dist_coe_center_sq, ContinuousLinearMap.smul_compLpL, VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral, summable_geometric_of_norm_lt_one, unitary.isPathConnected_ball, MeromorphicOn.AnalyticOnNhd.divisor_apply, continuousOn_cfc_nnreal_setProd, differentiableAt_of_deriv_ne_zero, ContDiffMapSupportedIn.fderivLM_apply_of_gt, EuclideanSpace.restrict₂_apply, HasDerivAt.hasDerivAtFilter, ZMod.LFunction_residue_one, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, DiffContOnCl.ball_subset_image_closedBall, NumberField.mixedEmbedding.convexBodySum_convex, OrthonormalBasis.toMatrix_orthonormalBasis_conjTranspose_mul_self, PeriodPair.mul_ω₁_add_mul_ω₂_mem_lattice, HasDerivAt.comp_hasDerivWithinAt_of_eq, ContinuousLinearMap.opNorm_mulLeftRight_le, RCLike.iInter_halfSpaces_eq', convex_halfSpace_im_le, ClosedSubmodule.orthogonal_closure, riemannZeta_eulerProduct_tprod, LinearMap.toSeminormFamily_apply, HasFDerivAt.csinh, MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure, cpow_eq_nhds, ContDiffMapSupportedIn.structureMapCLM_zero_injective, sum_mul_eq_sub_integral_mul, RCLike.iInter_halfSpaces_eq, StrongDual.polar_zero, ContinuousMultilinearMap.piₗᵢ_apply, nnnorm_cfcHom, Module.Basis.opNNNorm_le, integrableOn_cfc, ContMDiffWithinAt.clm_precomp, NormedRing.inverse_one_sub_nth_order', NormedSpace.exp_add_of_commute, 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, continuousOn_cfc, ProbabilityTheory.IndepFun.integrable_mul, HasDerivAtFilter.comp, ContinuousLinearMap.coe_complexOfReal, MeasureTheory.Integrable.fourier_smul, LinearMap.coe_toContinuousLinearMap_symm, HasFDerivWithinAt.finset_prod, hasStrictFDerivAt_list_prod', Complex.frontier_setOf_le_re_and_im_le, continuousMultilinearCurryFin1_symm_apply, Quaternion.hasSum_expSeries_of_imaginary, HasStrictDerivAt.fun_add, AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff, Complex.continuousAt_Gamma, StrongDual.mem_polar_iff, FormalMultilinearSeries.radius_pi_le, EisensteinSeries.eisensteinSeries_SIF_MDifferentiable, Prod.snd_exp, HasDerivAt.comp_of_eq, Submodule.orthogonal_eq_inter, BoundedContinuousFunction.charMonoidHom_apply, Complex.integral_boundary_rect_of_differentiableOn_real, PadicInt.mahlerEquiv_symm_apply, ContinuousLinearMap.lsmul_flip_apply, Differentiable.finset_prod, hasDerivAt_iff_tendsto, ContinuousLinearEquiv.toSpanNonzeroSingleton_apply_coe, Complex.differentiable_iteratedDeriv_cos, HasStrictFDerivAt.smul_const, ContinuousLinearEquiv.coord_self, UniformOnFun.continuousSMul_submodule_of_image_bounded, riemannZeta_residue_one, RCLike.geometric_hahn_banach_compact_closed, SchwartzMap.smulLeftCLM_ofReal, HasStrictFDerivAt.ccosh, Complex.ofReal_tsum, MeasureTheory.ComplexMeasure.equivSignedMeasureₗ_apply, ContDiffAt.differentiableAt_iteratedFDeriv, HasDerivWithinAt.continuousWithinAt, ContinuousLinearEquiv.coord_norm, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, fderiv_norm_rpow, ContinuousMultilinearMap.nnnorm_smulRight, tendsto_intCast_atTop_cobounded, HasDerivAt.finset_prod, ContinuousLinearMap.norm_map_iff_adjoint_comp_self, AddChar.coe_complexBasis, ContDiffOn.smulRight, NormedSpace.isUnit_exp, Polynomial.toAddCircle_X_eq_fourier_one, isTheta_deriv_ofReal_cpow_const_atTop, Real.hasStrictDerivAt_const_rpow, Complex.differentiable_cos, HasStrictDerivAt.cos, PadicInt.continuousAddCharEquiv_apply, ContinuousLinearMap.norm_adjoint_comp_self, summable_norm_sum_mul_antidiagonal_of_summable_norm, 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, UniformSpace.Completion.continuous_inner, contDiffOn_infty_iff_deriv_of_isOpen, NormedSpace.expSeries_hasSum_exp_of_mem_ball', fderivWithin_pow, HasFPowerSeriesWithinAt.compContinuousLinearMap, ContinuousMultilinearMap.norm_smulRight, hasFDerivAt_exp_zero_of_radius_pos, LSeries_hasDerivAt, PadicInt.denseRange_intCast, instSMulCommClass_sphere_closedBall_ball, CFC.log_exp, Complex.one_div_one_sub_hasFPowerSeriesOnBall_zero, LeftInvariantDerivation.commutator_apply, UpperHalfPlane.mdifferentiableAt_iff, fourier_add_half_inv_index, ContinuousMapZero.elemental_eq_top, ContinuousMapZero.adjoin_id_dense, HasStrictDerivAt.iterate, fourierCoeffOn_of_hasDerivAt, NormedField.noncompactSpace, ContinuousLinearMap.hasDerivWithinAt, UpperHalfPlane.IsZeroAtImInfty.slash, LeftInvariantDerivation.commutator_coe_derivation, PeriodPair.analyticOnNhd_weierstrassPExcept, hasStrictFDerivAt_pow, HasDerivWithinAt.comp_of_eq, FormalMultilinearSeries.derivSeries_apply_diag, NormedSpace.polar_closedBall, lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup, HasDerivAt.conj_conj, Matrix.l2_opNNNorm_conjTranspose_mul_self, iteratedDeriv_fun_mul, fderiv_comp_smul, integrable_cexp_quadratic, Complex.image_exp_Ioc_eq_sphere, ContinuousLinearMap.opNorm_lsmul, IsOpen.isOpen_inter_preimage_of_deriv_eq_zero, FormalMultilinearSeries.ofScalars_radius_eq_top_of_tendsto, coe_innerₛₗ_apply, isCoveringMapOn_zpow, FormalMultilinearSeries.norm_changeOriginSeriesTerm, HurwitzZeta.completedHurwitzZetaEven_residue_zero, TemperedDistribution.smulLeftCLM_smul, ContinuousMultilinearMap.fderivCompContinuousLinearMap_apply, ContinuousWithinAt.inner, Module.Basis.continuous_coe_repr, NormedRing.inverse_add_nth_order, Filter.tendsto_mul_right_cobounded, 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, DifferentiableAt.pow, HurwitzZeta.tendsto_hurwitzZeta_sub_one_div_nhds_one, InnerProductSpace.continuousLinearMapOfBilin_apply, NumberField.mixedEmbedding.normAtAllPlaces_mixedSpaceOfRealSpace, HasCompactSupport.deriv, NormedSpace.double_dual_bound, instFieldContMDiffRing, HasDerivAt.comp_ringHom, Matrix.cstar_norm_def, ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id, PointwiseConvergenceCLM.withSeminorms, PeriodPair.indep, UpperHalfPlane.tanh_half_dist, MeasureTheory.convolution_eq_swap, Module.Basis.opNorm_le, UniformCauchySeqOnFilter.one_smulRight, isConformalMap_complex_linear, Real.tsum_eq_tsum_fourierIntegral, AnalyticOnNhd.preimage_zero_mem_codiscreteWithin, hasDerivAt_const_add_iff, ContinuousMultilinearMap.curryFinFinset_symm_apply, HasFPowerSeriesWithinOnBall.pi, HasFPowerSeriesWithinOnBall.tendsto_partialSum, SchwartzMap.smulLeftCLM_apply, ContDiffMapSupportedIn.withSeminorms', MeromorphicOn.finsum, ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM_apply, DFinsupp.inner_sum, SchwartzMap.tsum_eq_tsum_fourierIntegral, Orientation.kahler_rightAngleRotation_right, fderiv_csin, ContinuousAt.const_cpow, MeromorphicOn.divisor_def, WeakDual.isSeqCompact_polar, WeakDual.seminormFamily_apply, inner_matrix_row_row, HasFTaylorSeriesUpTo.fderiv, MeasureTheory.intervalIntegrable_charFun, ContinuousMap.idealOf_compl_singleton_isMaximal, Complex.arg_eq_nhds_of_re_neg_of_im_neg, Filter.tendsto_inv₀_nhdsNE_zero, DifferentiableWithinAt.fun_inv, HasStrictFDerivAt.fun_mul, Complex.hasSum_arctan, ContinuousLinearMap.norm_holderL_le, fourier_add, NormedSpace.exp_add_of_mem_ball, hasFDerivWithinAt_pow, MeasureTheory.charFun_eq_integral_innerProbChar, SchwartzMap.smulLeftCLM_compL_smulLeftCLM, coe_algEquiv_lpBCF_symm, LinearMap.polar_mem_iff, hasDerivWithinAt_inv, EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum, ContinuousAffineMap.toConstProdContinuousLinearMap_fst, hasStrictDerivAt_id, HasFDerivWithinAt.mul', 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, deriv_neg, OpenPartialHomeomorph.hasStrictDerivAt_symm, DifferentiableAt.fun_mul, Complex.hasSum_cosh, RCLike.tendsto_ofReal_atBot_cobounded, LeftInvariantDerivation.ext_iff, Complex.frontier_setOf_lt_re, Orientation.norm_kahler, NumberField.mixedEmbedding.disjoint_span_commMap_ker, Complex.taylorSeries_eq_of_entire', HasFDerivAt.cpow, Complex.conj_tsum, spectrum.hasDerivAt_resolvent_const_left, Polynomial.hasFDerivWithinAt, LinearMap.hasDerivAt, Real.hasStrictDerivAt_rpow_const, deriv_mul, IsCovariantDerivativeOn.affine_combination, NormedSpace.exp_analytic, VectorField.lieBracket_smul_right, UpperHalfPlane.σ_mul_comm, LinearMap.hasDerivAtFilter, PeriodPair.summable_weierstrassPExceptSummand, differentiableAt_inv, deriv_pow', HasFiniteFPowerSeriesOnBall.fderiv_eq, NormedSpace.exp_sum_of_commute, ModularForm.coe_trace, integrable_mul_cexp_neg_mul_sq, ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints, IsLocalFrameOn.coeff_sum_eq, RCLike.ofRealCLM_coe, Complex.frontier_setOf_le_im, Function.Periodic.differentiableAt_cuspFunction_zero, Complex.hasDerivAt_log_sub_logTaylor, Complex.GammaIntegral_convergent, hasStrictDerivAt_iff_hasStrictFDerivAt, TestFunction.lineDerivCLM_apply_of_gt, InnerProductSpace.HarmonicOnNhd.exists_analyticOnNhd_ball_re_eq, HasFPowerSeriesAt.locally_zero_iff, hasDerivAt_iff_tendsto_slope, HasStrictDerivAt.complexToReal_fderiv, ContinuousWithinAt.clog, ContinuousLinearMap.analyticAt_bilinear, inner_gradient_left, DifferentiableWithinAt.mul_const, Complex.isOpenMap_exp, ConvexOn.exists_affine_le_of_lt, HasFDerivWithinAt.comp_hasDerivAt_of_eq, HasFPowerSeriesAt.hasStrictFDerivAt, convex_halfSpace_re_gt, HasDerivWithinAt.comp_hasDerivAt, tendsto_pow_cobounded_cobounded, ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right, AddChar.complexBasis_apply, isBoundedLinearMap_continuousMultilinearMap_comp_linear, ContinuousAt.cfc_nnreal, FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm, innerSL_apply_coe, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, hasDerivAt_exp_of_mem_ball, fderivWithin_mul', 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, Unitary.openPartialHomeomorph_apply, StrongDual.polar_singleton, DoubleCentralizer.isUniformEmbedding_toProdMulOpposite, Real.hasDerivAt_Gamma_nat, HasStrictFDerivAt.inner, Unitary.argSelfAdjoint_coe, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt, hasDerivAt_pi, ContinuousWithinAt.cfc, HasStrictDerivAt.hasStrictFDerivAt_equiv, MeasureTheory.ContinuousMap.inner_toLp, gradient_eq_deriv, HasDerivAt.of_notMem_tsupport, ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars, derivWithin_fun_inv', dist_algebraMap', hasFDerivAt_inv', tendsto_euler_sin_prod', HasDerivAt.fun_mul, HasStrictDerivAt.const_sub, Matrix.exp_units_conj, hasDerivWithinAt_finCons, HasDerivAt.const_cpow, WeakDual.CharacterSpace.exists_apply_eq_zero, exists_continuousLinearEquiv_fderiv_symm_eq, Complex.polarCoord_target, HasDerivAt.smul, Units.isOpenEmbedding_val, FormalMultilinearSeries.rightInv_coeff, Seminorm.absorbent_ball, differentiableAt_dslope_of_ne, Complex.hasDerivAt_log, DifferentiableAt.ccos, ValueDistribution.logCounting_coe, HilbertBasis.tsum_inner_mul_inner, multipliableUniformlyOn_euler_sin_prod_on_compact, NormedSpace.exp_units_conj, hasDerivAt_zpow, HasDerivAt.sin, AnalyticAt.frequently_eq_iff_eventually_eq, TensorialAt.mkHom₂_apply_eq_extend, MeasureTheory.AEStronglyMeasurable.convolution_integrand', tangentConeAt_eq_univ, Complex.hasSum_cos, ModularGroup.isClosed_coe_fd, spectrum.resolvent_isBigO_inv, WeakDual.CharacterSpace.compContinuousMap_id, sum_mul_eq_sub_integral_mul₀, HasDerivWithinAt.exp, isClosedMap_smul_left, 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, TensorProduct.nnnorm_lid, differentiableAt_iff_comp_const_add, HurwitzZeta.hasSum_int_completedSinZeta, NormedSpace.expSeries_summable_of_mem_ball', RCLike.instTietzeExtension, HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn', ClosedSubmodule.orthogonal_closure', zeta_nat_eq_tsum_of_gt_one, differentiableAt_inverse, Matrix.l2_opNorm_def, Quaternion.hasSum_coe, Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div', Asymptotics.isLittleO_pow_pow_cobounded_of_lt, UpperHalfPlane.tendsto_comap_im_ofComplex, MeasureTheory.IntegrableOn.mul_continuousOn, HasFiniteFPowerSeriesOnBall.sub, ContinuousMultilinearMap.norm_compContinuousLinearMapL_le, Matrix.toEuclideanLin_toLp, ContinuousLinearMapWOT.continuous_dual_apply, 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, AddChar.expect_apply_eq_ite, LeftInvariantDerivation.toFun_eq_coe, Complex.reCLM_enorm, UpperHalfPlane.contMDiff_denom, Real.hasDerivAt_sinh, AbsoluteValue.Completion.extensionEmbedding_dist_eq_of_comp, isClosedEmbedding_smul_left, Polynomial.toAddCircle_C_eq_smul_fourier_zero, isConformalMap_const_smul, tendsto_pow_atTop_nhds_zero_of_norm_lt_one, Matrix.l2_opNorm_mul, hasDerivWithinAt_iff_tendsto_slope', MeasureTheory.AEStronglyMeasurable.convolution_integrand, Subalgebra.SeparatesPoints.rclike_to_real, riemannZeta_eulerProduct_hasProd, norm_innerSL_le, VectorFourier.hasFDerivAt_fourierChar_smul, BoundedContinuousFunction.separatesPoints_charPoly, Padic.instProperSpace, DirichletCharacter.LSeries_eulerProduct, Differentiable.const_cpow, integrable_cexp_quadratic', Complex.hasDerivWithinAt_sqrt, 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, ContinuousWithinAt.cfc_nnreal, Quaternion.continuous_imK, FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm, CStarAlgebra.exists_sum_four_unitary, WeakDual.isClosed_image_coe_of_bounded_of_closed, continuousMultilinearCurryRightEquiv_apply, ContinuousLinearMap.integrable_of_bilin_of_bdd_right, HasDerivAt.comp_add_const, ContinuousWithinAt.cexp, ContDiffMapSupportedIn.structureMapLM_zero_apply, ContinuousMap.idealOfSet_ofIdeal_isClosed, Complex.frontier_reProdIm, Units.chartAt_source, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, ContinuousAlternatingMap.prodLIE_symm_apply, E2_mdifferentiable, DifferentiableOn.hasDerivAt, Summable.multipliableUniformlyOn_nat_one_add, contDiffOn_infty_iff_derivWithin, EisensteinSeries.eisensteinSeriesSIF_mdifferentiable, SchwartzMap.integral_smul_deriv_right_eq_neg_left, ContinuousLinearMap.apply_apply', HasFPowerSeriesWithinAt.hasFDerivWithinAt, Complex.conjCAE_toAlgEquiv, PeriodPair.ω₁_mem_lattice, fderiv_list_prod', SchwartzMap.fourier_convolution, HasMFDerivWithinAt.prod, OnePoint.isZeroAt_iff, AnalyticOnNhd.eval_continuousLinearMap', UnitAddTorus.span_mFourierLp_closure_eq_top, fderivWithin_comp_smul, tendsto_intCast_atBot_cobounded, ZMod.LFunction_dft, ConvexOn.hasDerivWithinAt_leftDeriv_of_mem_interior, ContinuousMultilinearMap.analyticOnNhd_uncurry_of_linear, Polynomial.div_tendsto_atTop_zero_iff_degree_lt, instSMulCommClass_closedBall_closedBall_closedBall, contDiffOn_iff_continuousOn_differentiableOn_deriv, PeriodPair.analyticOnNhd_weierstrassP, HasMFDerivAt.mul', ContinuousLinearMap.flipₗᵢ_symm, HasFPowerSeriesAt.compContinuousLinearMap, HurwitzZeta.hasSum_int_completedHurwitzZetaEven, EuclideanSpace.nndist_single_same, Complex.differentiableAt_cos, cfcHom_eq_of_isStarNormal, fderivWithin_clm_apply, DoubleCentralizer.instCompleteSpace, exists_continuousLinearEquiv_fderivWithin_symm_eq, ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz, hasDerivAt_of_tendsto_locally_uniformly_on', UpperHalfPlane.mdifferentiable_denom_zpow, BoundedContinuousFunction.coe_npowRec, NormedSpace.exp_mem_unitary_of_mem_skewAdjoint, Unitization.continuous_fst, HasGradientWithinAt.hasFDerivWithinAt, AlternatingMap.mkContinuousLinear_norm_le_max, FormalMultilinearSeries.rightInv_coeff_one, Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay, MDifferentiableWithinAt.pow, hasFDerivAt_exp, deriv_mul_const_field', fderiv_continuousAlternatingMap_apply_const_apply, WithLp.instProdIsBoundedSMul, RCLike.hasSum_conj', DifferentiableAt.cpow, MeromorphicOn.eventually_analyticAt, Polynomial.hasDerivWithinAt, Complex.frontier_setOf_im_le, differentiableAt_iff_comp_sub_const, HasFDerivAt.continuousAlternatingMapCompContinuousLinearMap, Complex.range_exp_mul_I, LinearMap.polar_mem, complexOfReal_derivWithin, CFC.real_exp_eq_normedSpace_exp, MeromorphicOn.divisor_mul, LinearMap.isAdjointPair_inner, CFC.continuousOn_rpow, ContinuousLinearMap.norm_holder_apply_apply_le, HasDerivWithinAt.log, DifferentiableOn.csin, upperHemicontinuous_spectrum, Complex.isUniformEmbedding_equivRealProd, hasDerivAt_conj_conj_iff, NumberField.mixedEmbedding.commMap_canonical_eq_mixed, absorbent_ball_zero, Asymptotics.IsLittleO.exists_eq_mul, tendsto_nhds_of_meromorphicOrderAt_nonneg, BoundedContinuousFunction.range_toLp, ContinuousLinearMap.hasStrictDerivAt, sum_mul_eq_sub_sub_integral_mul, ContinuousLinearMap.analyticAt_uncurry_of_multilinear, WeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace, fderivWithin_pow_ring, hasDerivWithinAt_iff_tendsto_slope, constFormalMultilinearSeries_apply_succ, Polynomial.fourierCoeff_toAddCircle, ContinuousAlternatingMap.alternatizeUncurryFin_fderivCompContinuousLinearMap_eq_zero, FormalMultilinearSeries.continuousOn, hasFDerivAt_inv, Complex.hasFPowerSeriesOnBall_ofScalars_mul_add_zero, HasStrictFDerivAt.clm_comp, Complex.hasSum_iff, DifferentiableWithinAt.inner, NumberField.mixedEmbedding.norm_negAt, HurwitzZeta.differentiable_completedHurwitzZetaEven₀, ContinuousMap.isUnit_iff_forall_ne_zero, Differentiable.inv, VectorFourier.fourierIntegral_fderiv, ContinuousMap.linearIsometryBoundedOfCompact_toIsometryEquiv, ContinuousLinearMap.fpowerSeries_apply_one, TemperedDistribution.lineDeriv_eq_fourierMultiplierCLM, HurwitzZeta.differentiable_completedHurwitzZetaOdd, MeasureTheory.ProbabilityMeasure.tendsto_iff_tendsto_charFun, summable_pow_mul_cexp, fderiv_continuousLinearEquiv_comp', ContinuousLinearMap.smulRightL_apply_apply, Real.hasDerivAt_sqrt, WeakFEPair.Λ_residue_zero, FormalMultilinearSeries.ofScalars_radius_ge_inv_of_tendsto, ModularFormClass.hasSum_qExpansion, ContinuousLinearMap.toSpanSingletonCLE_apply_apply, derivWithin_pow, HasFDerivAt.fun_mul', BoundedContinuousFunction.char_add_eq_mul, constFormalMultilinearSeries_zero, HasStrictFDerivAt.continuousMultilinearMap_apply, Complex.isOpenMap_re, Ring.inverse_exp, Bundle.Trivialization.localFrame_coeff_apply_of_mem_baseSet, HasStrictFDerivAt.mul_const, HilbertBasis.hasSum_inner_mul_inner, 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, AbsoluteValue.isEquiv_iff_isHomeomorph, ContinuousMultilinearMap.curryFinFinset_apply, ContDiffAt.smulRight, NormedField.nhdsWithin_isUnit_neBot, TestFunction.injective_toBoundedContinuousFunctionCLM, ConvexOn.sSup_affine_eq, unitary.mem_pathComponentOne_iff, derivWithin_smul_const, FormalMultilinearSeries.changeOriginSeriesTerm_bound, HasDerivWithinAt.sum, spectrum.subset_circle_of_unitary, summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexp, spectrum.subset_closedBall_norm, SchwartzMap.toZeroAtInftyCLM_apply, FormalMultilinearSeries.constFormalMultilinearSeries_radius, ContinuousLinearMap.toSpanSingletonCLE_symm_apply, UpperHalfPlane.continuous_coe, summable_mul_of_bigO_atTop', derivWithin_const_mul_field, MeromorphicAt.frequently_zero_iff_eventuallyEq_zero, VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le, Complex.deriv_exp, Derivative.serreDerivative_mdifferentiable, ContinuousLinearMap.norm_precompL_le, Real.fderiv_fourierChar_neg_bilinear_left_apply, HasFTaylorSeriesUpToOn.restrictScalars, isConformalMap_iff_is_complex_or_conj_linear, HasDerivAtFilter.neg, Units.isOpenMap_val, ContinuousLinearMap.apply_apply, RCLike.span_one_I, PeriodPair.ω₂_mem_lattice, DirichletCharacter.differentiable_LFunctionTrivChar₁, ContinuousLinearMap.norm_map_removeNth_le, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, algebraMap_cobounded_le_cobounded, 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, PiLp.instIsBoundedSMul, hasFPowerSeriesAt_iff', tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm', RCLike.geometric_hahn_banach_closed_compact, MDifferentiable.prod, ContDiff.continuous_iteratedDeriv', UpperHalfPlane.hasStrictFDerivAt_smul, ContinuousLinearMapWOT.tendsto_iff_forall_dual_apply_tendsto, inner_gradient_right, hasDerivAt_exp_smul_const_of_mem_ball, 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, HasFDerivAt.mul', Matrix.PosDef.posDef_sqrt, WeakFEPair.Λ_residue_k, integrable_cexp_neg_mul_sq, AbsoluteValue.Completion.extensionEmbedding_of_comp_coe, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, PositiveLinearMap.gnsNonUnitalStarAlgHom_apply, derivWithin_clm_apply, smooth_functions_tower, RCLike.ofReal_sum, ContinuousMap.idealOfSet_ofIdeal_eq_closure, SchwartzMap.fourierMultiplierCLM_smul, finrank_euclideanSpace_fin, UpperHalfPlane.isOpen_upperHalfPlaneSet, Real.hasStrictDerivAt_exp, continuousFunctionalCalculus_map_id, coe_algEquiv_lpBCF, Quaternion.continuous_normSq, UpperHalfPlane.isEmbedding_coe, fourierCoeffOn_of_hasDeriv_right, HurwitzZeta.differentiable_completedSinZeta, HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEven, HasStrictDerivAt.congr_of_eventuallyEq, hasFDerivAt_list_prod_attach', Complex.affine_of_mapsTo_ball_of_norm_dslope_eq_div, Quaternion.continuous_re, CFC.conjugate_rpow_neg_one_half, MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd, geom_series_eq_inverse, HasCompactSupport.convolution_integrand_bound_right, LinearMap.mem_span_iff_continuous, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, Padic.isDenseInducing_cast_withVal, ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_nhds_right, NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpace, Complex.hasStrictDerivAt_sqrt, GromovHausdorff.eq_toGHSpace_iff, NumberField.mixedEmbedding.measurable_polarSpaceCoord_symm, HasDerivAt.comp_semilinear, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, InnerProductSpace.symm_toEuclideanLin_rankOne, FormalMultilinearSeries.ofScalars_norm_eq_mul, isBoundedBilinearMap_smulRight, HasDerivAt.clog_real, HasDerivAt.comp_sub_const, QuotientGroup.integral_mul_eq_integral_automorphize_mul, NormedSpace.expSeries_hasSum_exp_of_mem_ball, balanced_iff_closedBall_smul, PeriodPair.derivWeierstrassPExcept_def, Complex.continuousAt_ofReal_cpow_const, ContMDiffAt.cle_arrowCongr, AnalyticOnNhd.eval_continuousLinearMap, circleMap_mem_sphere', HasDerivWithinAt.comp_hasFDerivAt_of_eq, MeasureTheory.memLp_re_im_iff, HasFDerivAt.clm_comp, ContinuousLinearMap.adjoint_innerSL_apply, EisensteinSeries.tsum_symmetricIco_tsum_eq_S_act, HasDerivAt.of_local_left_inverse, LSeries.hasDerivAt_term, Complex.UnitDisc.instIsScalarTower_closedBall_closedBall, continuous_circleMap_inv, UpperHalfPlane.mdifferentiableAt_ofComplex, UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_right, Bundle.Pretrivialization.continuousLinearMapCoordChange_apply, LSeries_eq_mul_integral', MDifferentiableOn.pow, ContDiffMapSupportedIn.structureMapLM_apply, CStarAlgebra.span_unitary, ContinuousLinearMap.mem_invtSubmodule_adjoint_iff, DifferentiableOn.of_dslope, binomialSeries_radius_ge_one, HasDerivWithinAt.iterate, IsCompactOperator.hasEigenvalue_iff_mem_spectrum, isBoundedLinearMap_prod_multilinear, fderivWithin_fun_mul, Differentiable.div, Orthonormal.inner_sum, Summable.hasSumUniformlyOn_log_one_add, HasCompactSupport.convolution_integrand_bound_right_of_subset, tsupport_deriv_subset, CFC.complex_exp_eq_normedSpace_exp, hasStrictDerivAt_of_hasDerivAt_of_continuousAt, HasStrictDerivAt_ofNat, Filter.IsBoundedUnder.isLittleO_sub_self_inv, le_iff_norm_sqrt_mul_rpow, UpperHalfPlane.σ_denom, RCLike.re_tsum, deriv_div_const, LeftInvariantDerivation.instLinearMapClassContMDiffMapModelWithCornersSelfSomeENatTop, HasFiniteFPowerSeriesAt.comp, ContinuousMap.idealOfSet_isMaximal_iff, LeftInvariantDerivation.coeFnAddMonoidHom_apply, Complex.deriv_log_comp_eq_logDeriv, BoundedContinuousFunction.toLp_denseRange, hasDerivWithinAt_iff_tendsto, ContinuousMapZero.nonUnitalStarAlgHom_apply_mul_eq_zero, Unitary.path_apply, ContDiffAt.hasStrictDerivAt', WeakFEPair.differentiable_Λ₀, cyclotomicCharacter.continuous, TemperedDistribution.laplacianCLM_apply, DifferentiableWithinAt.ccos, Unitary.spectrum_subset_circle, HasDerivAt.star_conj, continuousAt_gaussian_integral, Matrix.tracePositiveLinearMap_apply, ftaylorSeriesWithin_fun_zero, ContinuousLinearMap.norm_smulRightL_apply, ContinuousAlternatingMap.alternatizeUncurryFin_apply, Complex.im_tsum, hasDerivAt_finCons, HasFDerivAt.smul, Differentiable.ccosh, coeFn_fourierLp, Complex.taylorSeries_eq_on_emetric_ball', RCLike.tendsto_ofReal_atTop_cobounded, SchwartzMap.smulLeftCLM_smul, differentiableAt_iff_comp_neg, DoubleCentralizer.coe_snd, ContinuousLinearMap.opNorm_le_bound₂, Quaternion.exp_coe, hasFPowerSeriesAt_iff, ContinuousLinearMap.fpowerSeriesBilinear_apply_one, NumberField.mixedEmbedding.disjoint_negAt_plusPart, DifferentiableWithinAt.of_dslope, Matrix.IsHermitian.instContinuousFunctionalCalculus, MeasureTheory.integral_convolution, Filter.EventuallyEq.nhdsNE_deriv, fderiv_norm_sq_apply, RCLike.imCLM_apply, DirichletCharacter.continuousOn_neg_logDeriv_LFunctionTrivChar₁, hasStrictDerivAt_pow, HasStrictDerivAt.eventually_left_inverse, Derivation.evalAt_apply, derivWithin_mem_iff, DirichletCharacter.differentiable_completedLFunction, Complex.continuousAt_tan, PositiveLinearMap.preGNS_norm_sq, ContinuousMultilinearMap.norm_curryMid, ConvexOn.univ_sSup_of_nat_affine_eq, AnalyticOnNhd.eqOn_zero_or_eventually_ne_zero_of_preconnected, cfc_setIntegral, differentiableOn_inv, HurwitzZeta.differentiableAt_expZeta, ContinuousMultilinearMap.norm_mkPiAlgebraFin, hasDerivAt_of_tendstoUniformlyOnFilter, Submodule.starProjection_tendsto_closure_iSup, hasFDerivAt_exp_of_mem_ball, Ideal.IsMaximal.closure_eq, MeasureTheory.Lp.toTemperedDistribution_smul_eq, Quaternion.exp_eq, Complex.differentiableOn_tsum_of_summable_norm, MeasureTheory.MemLp.ofReal, StrongDual.polar_nonempty, NormedSpace.dual_def, EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt, HasFDerivAtFilter.hasDerivAtFilter, HasDerivAt.inv, UniformContinuous.fun_inv₀, RCLike.geometric_hahn_banach_open_open, LSeries_tendsto_sub_mul_nhds_one_of_tendsto_sum_div, fderiv_norm_sq, Filter.EventuallyEq.hasDerivAtFilter_iff, ContinuousMap.idealOpensGI_choice, IntervalIntegrable.div_const, HasMFDerivAt.const_smul, Complex.continuous_im, WeakDual.CharacterSpace.instStarHomClass, HasDerivAtFilter.fun_sum, IsCovariantDerivativeOn.finite_affine_combination, HasStrictDerivAt.sqrt, Complex.equivRealProdCLM_apply, FormalMultilinearSeries.hasFPowerSeriesOnBall, ContinuousLinearMap.coe_mulₗᵢ, tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm, Filter.tendsto_inv₀_cobounded', HasStrictDerivAt.ccos, 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, norm_cfc_lt, Pi.exp_def, HasFDerivWithinAt.continuousAlternatingMap_apply_const, ContinuousLinearMap.innerSL_apply_comp, TensorProduct.lidIsometry_symm_apply, 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, ContinuousLinearMap.coeFn_holder, ContDiffMapSupportedIn.structureMapLM_eq, Complex.orderClosedTopology, CStarMatrix.norm_def, ContMDiff.cle_arrowCongr, ContinuousLinearMap.coe_deriv₂, OrderedFinpartition.norm_compAlongOrderedFinpartitionL_le, ContMDiffOn.clm_bundle_apply₂, differentiableWithinAt_Ioi_iff_Ici, HurwitzZeta.differentiableAt_sinZeta, ModularForm.multipliableLocallyUniformlyOn_eta, dist_lineMap_lineMap, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, derivWithin_fun_pow', cfc_integral', DifferentiableAt.csin, DifferentiableWithinAt.continuousMultilinearMapCompContinuousLinearMap, ContinuousAlternatingMap.alternatizeUncurryFinCLM_apply, ContinuousLinearMap.adjoint_adjoint, HasCompactSupport.hasFDerivAt_convolution_left, Complex.isEquivalent_sin, NumberField.mixedEmbedding.convexBodyLT'_convex, differentiableOn_zpow, selfAdjoint.expUnitary_coe, fderivWithin_mul, 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, hasSum_mellin_pi_mul_sq, Complex.continuousOn_one_add_mul_inv, fderiv_inner_apply, contDiff_one_iff_deriv, ContinuousLinearMap.hasDerivAt_of_bilinear, inner_matrix_col_col, MDifferentiableWithinAt.prod, Matrix.IsHermitian.im_star_dotProduct_mulVec_self, second_derivative_symmetric_of_eventually, EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly, HasFDerivAt.comp_hasDerivAt_of_eq, Real.hasStrictDerivAt_log_of_pos, FormalMultilinearSeries.ofScalars_norm, HasFDerivWithinAt.fun_mul, derivWithin_pow', BoundedContinuousFunction.char_mem_charPoly, MeasureTheory.SignedMeasure.im_toComplexMeasure, HasDerivAtFilter.const_sub, differentiableAt_jacobiTheta, NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlaces, HasStrictFDerivAt.smul, ContinuousLinearMap.orthogonal_ker, NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne, AnalyticAt.hasStrictDerivAt, IntervalIntegrable.const_mul, iter_deriv_pow, differentiableAt_iteratedDerivWithin_cexp, ContDiffMapSupportedIn.norm_toBoundedContinuousFunction, HasStrictFDerivAt.finset_prod, pi_mul_cot_pi_q_exp, Filter.EventuallyEq.hasDerivWithinAt_iff, BoundedContinuousFunction.probCharDual_apply, PeriodPair.weierstrassPExcept_add, Complex.multipliable_one_add_of_summable, InnerProductSpace.norm_rankOne, SchwartzMap.tsum_eq_tsum_fourier, NumberField.mixedEmbedding.normAtAllPlaces_normAtAllPlaces, Complex.hasDerivAt_Gamma_nat, HasFDerivAt.const_cpow, hasFDerivAt_integral_of_dominated_loc_of_lip, IsClosed.reProdIm, Units.chartAt_apply, PiTensorProduct.mapLMultilinear_toFun_apply, VectorField.mlieBracket_smul_right, MDifferentiable.pow, CStarMatrix.inner_toCLM_conjTranspose_right, norm_jacobiTheta₂_term_fderiv_le, HasStrictDerivAt.clog, MeasureTheory.taylorWithinEval_charFun_zero, HasDerivAtFilter.fun_const_smul, Matrix.PosDef.re_dotProduct_pos, Seminorm.closedBall_smul_closedBall, ContinuousAffineMap.toConstProdContinuousLinearMap_snd, ContinuousOn.cexp, Summable.tendstoUniformlyOn_tsum_nat_log_one_add, ContinuousMultilinearMap.curryMidEquiv_symm_apply, FormalMultilinearSeries.comp_summable_nnreal, quasispectrum.instCompactSpace, fderiv_eq_smul_deriv, CStarMatrix.toCLM_apply_single_apply, BoundedContinuousFunction.char_apply, ContinuousMultilinearMap.uncurryRight_norm, ContinuousLinearMap.flipAlternating_apply_apply, LinearMap.ker_toContinuousLinearMap, Metric.sphere.instIsTopologicalGroup, hasStrictFDerivAt_exp_smul_const_of_mem_ball, Complex.tendsto_exp_comap_re_atBot_nhdsNE, differentiable_circleMap, UpperHalfPlane.mdifferentiable_smul, HasDerivAt.mul_const, HasStrictDerivAt.fun_smul, Complex.conjCAE_toLinearMap, ModularForm.slash_apply, HurwitzZeta.tendsto_hurwitzZetaEven_sub_one_div_nhds_one, derivWithin_const_mul, selfAdjoint.joined_one_expUnitary, integrableOn_exp_mul_complex_Ioi, NormedSpace.exp_add, contMDiffOn_iff_localFrame_coeff, Complex.isClosed_range_intCast, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, le_iff_norm_sqrt_mul_sqrt_inv, hasDerivWithinAt_sub_const_iff, ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux, HasDerivAt.cpow_const, HurwitzZeta.differentiable_completedCosZeta₀, ContinuousWithinAt.const_cpow, Complex.restrictScalars_toSpanSingleton', HasFDerivWithinAt.list_prod', HasFDerivAt.continuousMultilinearMap_apply, Polynomial.fourierCoeff_toAddCircle_eq_zero_of_lt_zero, fderiv_inv', ContinuousLinearMapWOT.ext_inner_iff, Complex.differentiable_iteratedDeriv_cosh, ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_le, unitary.continuousOn_argSelfAdjoint, Complex.closedEmbedding_intCast, Complex.rectangle_eq_convexHull, NumberField.mixedEmbedding.mixedSpaceOfRealSpace_apply, HurwitzZeta.hurwitzZetaEven_residue_one, HasStrictDerivAt.star, tendsto_zero_geometric_tsum_pnat, RCLike.geometric_hahn_banach_open_point, FormalMultilinearSeries.comp_assoc, HasFPowerSeriesWithinAt.comp, Pi.coe_exp, Complex.reCLM_apply, fderivWithin_pow', Real.hasDerivAt_negMulLog, continuousAt_dslope_of_ne, Complex.closure_setOf_im_lt, NumberField.mixedEmbedding.lintegral_comp_polarSpaceCoord_symm, PeriodPair.differentiableOn_derivWeierstrassPExcept, continuousMultilinearCurryFin1_apply, LeftInvariantDerivation.evalAt_apply, hasStrictDerivAt_neg, UpperHalfPlane.petersson_slash, deriv_id', hasStrictFDerivAt_euclidean, EisensteinSeries.tsum_symmetricIco_tsum_sub_eq, hasFDerivAt_finset_prod, fourierCoeff_fourier, Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_norm, HilbertBasis.finite_spans_dense, tendsto_natCast_atTop_cobounded, toMeromorphicNFOn_eqOn_codiscrete, HasStrictDerivAt.fun_pow, LinearIsometry.adjoint_comp_self
toRing 📖	CompOp	713 math math: List.norm_prod_le, SchwartzMap.norm_toLp_le_seminorm, OrthonormalBasis.singleton_repr, Seminorm.isBounded_const, HasStrictFDerivAt.fun_mul', unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, HasMFDerivAt.mul, RingHom.compLeftContinuousBounded_apply_apply, ContinuousLinearMap.mulLeftRight_isBoundedBilinear, List.nnnorm_prod, Matrix.frobeniusIsBoundedSMul, WithSeminorms.image_isVonNBounded_iff_seminorm_bounded, Real.hasFDerivAt_fourierChar_neg_bilinear_left, Unitary.norm_expUnitary_smul_argSelfAdjoint_sub_one_le, hasStrictFDerivAt_exp_of_mem_ball, hasStrictFDerivAt_list_prod_finRange', Seminorm.le_finset_sup_apply, LinearMap.IsSymmetric.restrictScalars, Seminorm.norm_sub_map_le_sub, ContinuousAlternatingMap.isEmbedding_restrictScalars, SeminormFamily.basisSets_smul_right, HasFDerivWithinAt.pow, Metric.unitSphere.coe_one, ModularForm.mul_slash, hasFDerivAt_multiset_prod, Filter.BoundedAtFilter.mul, BoundedContinuousFunction.algebraMap_apply, Circle.exp_arg, Circle.injective_arg, OrthonormalBasis.repr_injective, Seminorm.bot_eq_zero, Seminorm.smul_comp, norm_natCast_eq_mul_norm_one, ContinuousLinearMap.isUniformEmbedding_restrictScalars, Seminorm.finset_sup_apply, Polynomial.exists_eq_supNorm, Asymptotics.IsBigO.mul_atTop_rpow_natCast_of_isBigO_rpow, HasDerivAtFilter.comp_hasFDerivAtFilter, Seminorm.ball_smul_closedBall, Real.fderiv_fourierChar_neg_bilinear_right_apply, WithSeminorms.mem_nhds_iff, fderivWithin_fun_pow', Balanced.sub, Asymptotics.IsBigOWith.pow, Module.Dual.extendRCLikeₗ_symm_apply, Seminorm.uniformContinuous_of_forall, fderiv_multiset_prod, HasFPowerSeriesWithinOnBall.restrictScalars, SeminormFamily.filter_eq_iInf, Bornology.IsVonNBounded.of_neg, Seminorm.restrictScalars_closedBall, HasFDerivAt.fun_mul, selfAdjoint.expUnitaryPathToOne_apply, WithLp.isBoundedSMulSeminormedAddCommGroupToProd, IsUltrametricDist.norm_intCast_le_one, List.nnnorm_prod_le', ContinuousLinearMap.opNorm_lsmul_apply_le, IsUltrametricDist.norm_add_one_le_max_norm_one, Circle.ofConjDivSelf_coe, Asymptotics.IsBigO.const_mul_left, HasDerivAt.comp_hasFDerivAt_of_eq, IsConformalMap.is_complex_or_conj_linear, Seminorm.continuous_of_forall', Circle.starRingEnd_addChar, SeminormedCommRing.mul_comm, AbsolutelyContinuousOnInterval.const_smul, Seminorm.neg_ball, Asymptotics.IsLittleO.mul, Asymptotics.IsBigO.smul, Asymptotics.isBigO_const_mul_left_iff', NormedSpace.exp_series_hasSum_exp', HasFPowerSeriesOnBall.restrictScalars, LinearMap.toContinuousLinearMap₁_coe, HasStrictFDerivAt.mul', fderiv_fun_pow, NumberField.natAbs_discr_eq_natAbs_discr_pow_mul_natAbs_discr_pow, ModularForm.prod_slash, hasStrictFDerivAt_exp_smul_const_of_mem_ball', HasStrictFDerivAt.pow, Asymptotics.IsBigOWith.const_smul_self, nndist_smul₀, AddCircle.homeomorphCircle'_symm_apply, HasStrictFDerivAt.const_mul, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalarsL_comp_restrictScalars, Bornology.isVonNBounded_neg, HasFDerivAt.finset_prod, Seminorm.continuousAt_zero_of_forall', TrivSqZeroExt.instNormOneClass, Seminorm.ball_mem_nhds, OrthonormalBasis.repr_self, norm_pow, IsCompactOperator.image_subset_compact_of_isVonNBounded, fderiv_fun_pow', norm_sub_mul_le', rotation_apply, toMatrix_rotation, Polynomial.supNorm_zero, RCLike.smul_re, gelfandStarTransform_naturality, ModularForm.prod_slash_sum_weights, gelfandStarTransform_apply_apply, PiLp.isBoundedSMulSeminormedAddCommGroupToPi, HasFDerivWithinAt.const_mul, balancedCore_nonempty_iff, List.norm_prod_le', Seminorm.closedBall_smul_ball, OrthonormalBasis.measurePreserving_repr, nnnorm_algebraMap_nnreal, HasFDerivWithinAt.mul, WithSeminorms.tendsto_nhds', fderivWithin_const_mul, HasFDerivWithinAt.multiset_prod, Seminorm.pullback_apply, Asymptotics.IsLittleO.pow, isBoundedBilinearMap_mul, UpperHalfPlane.coe_pos_real_smul, Complex.starConvex_ofReal_slitPlane, RCLike.toIsStrictOrderedModule, Asymptotics.IsBigO.listProd, Quaternion.linearIsometryEquivTuple_symm_apply, HasDerivAt.comp_hasFDerivWithinAt, HasFDerivAt.restrictScalars, Complex.UnitDisc.coe_smul_circle, HasStrictFDerivAt.list_prod', Complex.starConvex_one_slitPlane, hasStrictDerivAt_exp_smul_const, Asymptotics.IsBigO.const_smul_left, norm_algebraMap_nnreal, isCompactOperator_iff_isCompact_closure_image_ball, ContinuousMultilinearMap.isEmbedding_restrictScalars, Asymptotics.isBigOWith_self_const_mul', hasStrictDerivAt_exp_smul_const', SchwartzMap.smulLeftCLM_real_smul, NormMulClass.toNormSMulClass_op, spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul, Metric.unitSphere.coe_mul, ContinuousLinearMap.uniformContinuous_restrictScalars, NumberField.mixedEmbedding.fundamentalCone.smul_mem_of_mem, Seminorm.ball_eq_emptyset, Polynomial.supNorm_X, hasStrictFDerivAt_multiset_prod, SeminormFamily.finset_sup_comp, fderivWithin_finset_prod, Orientation.rotation_map_complex, norm_pow_le, convex_halfSpace_re_le, Module.Basis.coe_toOrthonormalBasis_repr, hasFDerivAt_ringInverse, ContinuousMultilinearMap.opNorm_smul_le, Seminorm.closedBall_zero_eq_preimage_closedBall, BoundedContinuousFunction.mem_charPoly, Filter.BoundedAtFilter.smul, BoundedContinuousFunction.charAlgHom_apply, BoundedContinuousFunction.coe_intCast, Circle.arg_eq_arg, Matrix.gram_eq_conjTranspose_mul, normHom_apply, List.nnnorm_prod_le, Seminorm.balanced_closedBall_zero, fourier_one, Seminorm.coe_restrictScalars, RingHomIsometric.enorm_map, Asymptotics.IsLittleO.const_mul_right', Real.Angle.coe_toCircle, Seminorm.gaugeSeminorm_ball, fderiv_mul_const', Matrix.linftyOpIsBoundedSMul, ContinuousAlternatingMap.norm_restrictScalars, OrthonormalBasis.coe_ofRepr, ContinuousAlternatingMap.isUniformEmbedding_restrictScalars, hasStrictFDerivAt_exp, gelfandStarTransform_symm_apply, Asymptotics.IsBigOWith.const_smul_left, Complex.orthonormalBasisOneI_repr_apply, WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm, Seminorm.ball_zero_eq_preimage_ball, NormedAlgebra.exists_isMinOn_norm_sub_smul, Balanced.add, fourier_neg', Matrix.isBoundedSMul, Bornology.IsVonNBounded.neg, ContinuousLinearMap.continuous_restrictScalars, norm_natCast, ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero, Circle.smul_def, Seminorm.balanced_ball_zero, fderiv_inverse, hasStrictFDerivAt_exp_smul_const', PiLp.instNormSMulClass, convex_halfSpace_im_gt, ContinuousMultilinearMap.restrictScalarsLinear_apply, BoundedContinuousFunction.coe_natCast, Seminorm.restrictScalars_ball, fderiv_pow, HasFDerivAt.pow, Asymptotics.IsLittleO.smul, WithSeminorms.isVonNBounded_iff_seminorm_bddAbove, fderivWithin_inv', NormedSpace.norm_expSeries_summable_of_mem_ball', tendsto_pow_atTop_nhds_zero_iff_norm_lt_one, HasStrictFDerivAt.cexp, Seminorm.finset_sup_apply_lt, OrthonormalBasis.tensorProduct_repr_tmul_apply', nnnorm_natAbs, Seminorm.comp_smul, HasFDerivWithinAt.mul_const, fderiv_pow', fderiv_mul, contraction_of_isPowMul, NumberField.mixedEmbedding.convexBodySumFun_smul, NumberField.mixedEmbedding.logMap_real_smul, Seminorm.comp_zero, ContDiffWithinAt.restrictScalars_iteratedFDerivWithin_eventuallyEq, nnnorm_algebraMap, nnnorm_pow, Asymptotics.IsBigOWith.pow', Polynomial.le_supNorm, Seminorm.neg_mem_ball_zero, OrthonormalBasis.equiv_apply, Seminorm.bound_of_continuous, fderiv_pow_ring, DifferentiableAt.fderiv_restrictScalars, ContinuousLinearMap.lsmul_apply, nnnorm_pow_le, selfAdjoint.unitarySelfAddISMul_coe, HasDerivWithinAt.complexToReal_fderiv, Circle.ext_iff, Module.Basis.coe_toOrthonormalBasis_repr_symm, IsometricContinuousFunctionalCalculus.toNonUnital, subset_balancedHull, fderivWithin_fun_mul', algebraMap_isometry, Asymptotics.IsLittleO.smul_isBigO, hasFDerivAt_list_prod', SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInf, SubringClass.toNormMulClass, fderiv_mul', OrthonormalBasis.repr_apply_apply, Seminorm.uniformContinuous_of_continuousAt_zero, Circle.coe_inv_eq_conj, Seminorm.add_comp, HasFDerivWithinAt.cexp, RingHom.isometry, NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplex, Circle.coe_mul, NormedSpace.expSeries_summable', MeasureTheory.L2.inner_indicatorConstLp_indicatorConstLp, RingHomIsometric.nnnorm_map, ContinuousLinearMap.coe_restrict_scalarsL', HasDerivAt.complexToReal_fderiv, inner_smul_real_right, hasFDerivAt_exp_smul_const', Real.Angle.arg_toCircle, Seminorm.closedBall_finset_sup, FormalMultilinearSeries.ofScalars_norm_le, IsBoundedLinearMap.smul, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos, Circle.coe_pow, LinearMap.toMatrix_innerₛₗ_apply, Asymptotics.IsBigO.mul, hasFDerivWithinAt_pow', convex_halfSpace_im_lt, Asymptotics.IsLittleO.const_mul_left, HasFDerivAt.cexp, WithSeminorms.uniformEquicontinuous_iff_bddAbove_and_continuous_iSup, balanced_neg, norm_natAbs, dist_eq, Circle.invOn_arg_exp, fderivWithin_mul_const', CStarAlgebra.norm_smul_two_inv_smul_add_four_unitary, WithSeminorms.tendsto_nhds, hasFDerivAt_list_prod_finRange', WithSeminorms.isOpen_iff_mem_balls, ContinuousMap.nnnorm_smul_const, Seminorm.const_isBounded, Seminorm.preimage_metric_closedBall, IsUltrametricDist.nnnorm_add_one_le_max_nnnorm_one, StrongDual.extendRCLikeₗ_apply, Seminorm.sSup_empty, norm_intCast_abs, eventually_norm_pow_le, ContinuousMultilinearMap.uniformContinuous_restrictScalars, HasStrictFDerivAt.restrictScalars, balancedHull_add_subset, isCompactOperator_iff_image_closedBall_subset_compact, Circle.star_addChar, hasDerivAt_exp_smul_const, Asymptotics.IsBigOWith.smul, fderivWithin_fun_pow, PadicInt.mahlerTerm_one, RCLike.smul_im, HasFDerivAt.multiset_prod, MemHolder.smul, HasFDerivAt.mul_const, ContinuousLinearMap.coe_restrictScalarsIsometry, PiTensorProduct.dualSeminorms_bounded, CommCStarAlgebra.toStarModule, HasFDerivWithinAt.mul_const', HasDerivAt.comp_hasFDerivWithinAt_of_eq, fderiv_const_mul, NormOneClass.induced, SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf, RCLike.wInner_const_left, WeakDual.withSeminorms, RingHomIsometric.ids, fderiv_pow_ring', nnnorm_intCast_abs, ContinuousMultilinearMap.norm_restrictScalars, ContDiffAt.restrictScalars_iteratedFDeriv_eventuallyEq, InnerProductSpace.nullSubmodule_le_ker_toDualMap_left, HasFPowerSeriesAt.restrictScalars, edist_smul₀, spectrum.isUnit_one_sub_smul_of_lt_inv_radius, ContDiffAt.restrictScalars_iteratedFDeriv, PiTensorProduct.injectiveSeminorm_apply, Module.Dual.extendRCLikeₗ_apply, LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply, Bornology.IsVonNBounded.sub, hasFDerivAt_pow, ContinuousMultilinearMap.instIsBoundedSMul, Seminorm.exists_apply_eq_finset_sup, WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded, NumberField.mixedEmbedding.norm_smul, ConvexOn.convex_re_epigraph, EuclideanSpace.basisFun_repr, NormMulClass.induced, Circle.leftInverse_exp_arg, HasFDerivWithinAt.restrictScalars, convex_absConvexHull, differentiableWithinAt_iff_restrictScalars, Complex.orthonormalBasisOneI_repr_symm_apply, Seminorm.coe_bot, RCLike.ofReal_alg, HasFDerivAt.fun_pow', ContinuousLinearMap.isVonNBounded_image2_apply, Asymptotics.IsBigO.mul_atTop_rpow_of_isBigO_rpow, HasMFDerivWithinAt.mul', SeminormFamily.basisSets_smul, Submonoid.coe_unitSphere, Circle.norm_coe, Polynomial.supNorm_monomial, Seminorm.neg_closedBall, StrongDual.extendRCLikeₗᵢ_symm_apply, Metric.sphere.instContinuousMul, fourier_apply, RCLike.wInner_const_right, WithSeminorms.continuous_seminorm, PadicInt.continuousAddCharEquiv_of_norm_mul_symm_apply, Polynomial.supNorm_C, ContinuousAlternatingMap.continuous_restrictScalars, UniformConvergenceCLM.isVonNBounded_image2_apply, convex_halfSpace_re_ge, Seminorm.comp_apply, OrthonormalBasis.sum_repr_symm, HasFDerivAt.const_mul, DifferentiableWithinAt.restrictScalars_fderivWithin, StrongDual.extendRCLikeₗ_symm_apply, NormedSpace.norm_expSeries_summable', Matrix.linftyOpNormSMulClass, fderivWithin_multiset_prod, Polynomial.supNorm_def', WithLp.normSMulClassSeminormedAddCommGroupToProd, HasFDerivAt.mul, PiLp.normSMulClassSeminormedAddCommGroupToPi, SchwartzMap.eLpNorm_le_seminorm, selfAdjoint.star_coe_unitarySelfAddISMul, Orientation.kahler_rotation_left', convex_halfSpace_im_ge, IsCompactOperator.image_subset_compact_of_bounded, Seminorm.closedBall_eq_emptyset, hasStrictFDerivAt_pow', IsBoundedSMul.of_enorm_smul_le, Asymptotics.IsBigO.mul_isLittleO, NormedAlgebra.instRegularNormedAlgebra, convex_halfSpace_re_lt, ContinuousAlternatingMap.restrictScalarsLI_apply, hasFDerivAt_exp_smul_const_of_mem_ball, fderiv_fun_mul', NumberField.finite_of_discr_bdd, RCLike.instStarModuleReal, norm_algebraMap, OrthonormalBasis.measurePreserving_repr_symm, StrongDual.extendRCLikeₗᵢ_apply, hasFDerivAt_exp_smul_const, WithSeminorms.congr_equiv, fderiv_finset_prod, hasStrictFDerivAt_list_prod_attach', rotationOf_coe, HasFPowerSeriesWithinAt.restrictScalars, hasStrictFDerivAt_ringInverse, HasStrictDerivAt.comp_hasStrictFDerivAt, HasDerivWithinAt.comp_hasFDerivWithinAt, CFC.log_smul', nnnorm_pow_le', TrivSqZeroExt.instL1IsBoundedSMul, Asymptotics.isBigO_const_mul_right_iff', hasStrictFDerivAt_finset_prod, HasDerivWithinAt.comp_hasFDerivAt, isCompactOperator_iff_isCompact_closure_image_closedBall, InnerProductSpace.toMatrix_rankOne, Seminorm.ball_smul_ball, isClosed_nullSubmodule, ContinuousAlternatingMap.restrictScalarsCLM_apply, ContinuousLinearMap.restrictScalarsIsometry_toLinearMap, Real.hasDerivAt_fourierChar, Orientation.kahler_rotation_left, LindemannWeierstrass.integral_exp_mul_eval, spectrum.differentiableOn_inverse_one_sub_smul, WithSeminorms.tendsto_nhds_atTop, Matrix.IsHermitian.exists_eigenvector_of_ne_zero, Bornology.IsVonNBounded.of_topologicalSpace_le, inner_smul_real_left, HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq, ContDiffMapSupportedIn.seminorm_eq_bot_of_gt, ContinuousLinearMap.isEmbedding_restrictScalars, spectrum.hasFDerivAt_resolvent, ContinuousMultilinearMap.norm_mkPiAlgebraFin_le, NumberField.linearDisjoint_of_isGalois_isCoprime_discr, HasFDerivWithinAt.pow', mem_nullSubmodule_iff, nnnorm_algebraMap', IsBoundedSMul.of_nnnorm_smul_le, Asymptotics.isBigO_self_const_mul', norm_mul_le, Circle.coe_eq_one, HasFDerivAt.list_prod', hasFDerivAt_pow', Seminorm.zero_or_exists_apply_eq_finset_sup, ContinuousLinearMap.opNorm_lsmul_le, Seminorm.ball_comp, OrthonormalBasis.repr_symm_single, Real.fourierChar_apply, WithLp.instProdNormSMulClass, ContinuousLinearMap.coe_restrictScalarsL, Seminorm.continuousAt_zero_of_forall, SeminormFamily.withSeminorms_iff_nhds_eq_iInf, Matrix.normSMulClass, HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq, NumberField.mixedEmbedding.convexBodyLT_convex, HasMFDerivAt.prod, zero_mem_absConvexHull, toMatrix_innerSL_apply, Matrix.linfty_opNormOneClass, PiLp.basis_toMatrix_basisFun_mul, Metric.unitSphere.coe_pow, isBoundedBilinearMap_smul, ContinuousLinearMap.norm_restrictScalars, NormedAlgebra.norm_smul_le, Asymptotics.IsBigOWith.const_mul_right', Ideal.Quotient.norm_mk_lt, RCLike.real_smul_ofReal, Asymptotics.isLittleO_const_mul_left_iff', Circle.coe_inv, IsCompactOperator.image_closedBall_subset_compact, LinearMap.toContinuousLinearMap₁_apply, Seminorm.coe_comp, hasDerivAt_exp_smul_const_of_mem_ball', isCompactOperator_iff_image_ball_subset_compact, WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded, Metric.unitClosedBall.coe_one, NumberField.mixedEmbedding.logMap_real, Seminorm.finset_sup_smul, HasMFDerivWithinAt.mul, InnerProductSpace.gramSchmidtOrthonormalBasis_inv_triangular', Seminorm.isBounded_sup, Asymptotics.IsLittleO.listProd, Seminorm.comp_id, spectralValue_X_sub_C, Complex.log_eq_integral, Asymptotics.isBigO_const_mul_self, IsUltrametricDist.norm_natCast_le_one, IsUltrametricDist.nnnorm_intCast_le_one, ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le, fderiv_fun_mul, Nat.norm_cast_le, Seminorm.closedBall_bot, HasFDerivAt.pow', HasStrictFDerivAt.pow', SubringClass.toNormOneClass, IsCompactOperator.image_ball_subset_compact, HasStrictFDerivAt.multiset_prod, Matrix.frobeniusNormSMulClass, SeminormFamily.basisSets_singleton_mem, Real.differentiable_fourierChar, dist_smul₀, norm_pow_le', nnnormHom_apply, HasStrictFDerivAt.mul_const', Circle.normSq_coe, NumberField.mixedEmbedding.normAtPlace_smul, norm_intCast_eq_abs_mul_norm_one, ModularForm.prod_fintype_slash, fderivWithin_list_prod', Complex.starConvex_slitPlane, HasFDerivWithinAt.fun_mul', Balanced.neg, nnnorm_commutator_units_sub_one_le, Asymptotics.isBigOWith_const_mul_self, OrthonormalBasis.coe_toBasis_repr, hasStrictFDerivAt_list_prod, fourier_zero', ZMod.toCircle_intCast, IsUltrametricDist.nnnorm_natCast_le_one, ZMod.toCircle_natCast, Real.deriv_fourierChar, OrthonormalBasis.sum_repr, fderivWithin_pow_ring', Orientation.kahler_apply_apply, Polynomial.isGreatest_supNorm, Real.differentiable_fourierChar_neg_bilinear_right, nnnorm_sub_mul_le, Circle.coeHom_apply, HasFDerivWithinAt.fun_pow', rootsOfUnityCircleEquiv_apply, differentiableAt_iff_restrictScalars, OrthonormalBasis.coe_toBasis_repr_apply, Circle.coe_inj, fderivWithin_mul_const, Seminorm.preimage_metric_ball, IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitary, IsCompactOperator.isCompact_closure_image_of_bounded, HasFDerivAt.mul_const', Orientation.kahler_rotation_right, norm_commutator_units_sub_one_le, NormSMulClass.toIsBoundedSMul, Seminorm.comp_mono, Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv, HasStrictFDerivAt.fun_pow', fourier_coe_apply', TrivSqZeroExt.nnnorm_inr, IsBoundedSMul.of_norm_smul_le, AbsolutelyContinuousOnInterval.fun_smul, Algebra.norm_smul_one_eq_norm, hasStrictDerivAt_exp_smul_const_of_mem_ball', RingHomIsometric.inv, Real.hasFDerivAt_fourierChar_neg_bilinear_right, Metric.unitClosedBall.coe_pow, ZMod.toCircle_apply, Metric.unitClosedBall.instIsCancelMulZero, hasStrictFDerivAt_inv', Circle.arg_exp, hasFDerivAt_exp_smul_const_of_mem_ball', WithSeminorms.partial_sups, hasStrictFDerivAt_exp_smul_const, dist_algebraMap, HasStrictFDerivAt.mul, List.norm_prod, Seminorm.comp_comp, Metric.unitClosedBall.coe_eq_one, Real.differentiable_fourierChar_neg_bilinear_left, hasDerivAt_exp_smul_const', HasDerivAt.comp_hasFDerivAt, fderiv_mul_const, ContinuousMap.norm_smul_const, AbsConvexOpenSets.coe_convex, norm_algebraMap', NumberField.mixedEmbedding.convexBodySum_convex, Circle.coe_exp, convex_halfSpace_im_le, LinearMap.toSeminormFamily_apply, Seminorm.ball_finset_sup_eq_iInter, enorm_pow, fourier_add', Asymptotics.IsLittleO.mul_isBigO, HasFDerivWithinAt.finset_prod, hasStrictFDerivAt_list_prod', balancedHull.balanced, balancedCore_zero_mem, BoundedContinuousFunction.charMonoidHom_apply, Asymptotics.IsBigO.pow, Polynomial.supNorm_eq_iSup, Asymptotics.IsBigO.const_smul_self, NormedSpace.expSeries_hasSum_exp_of_mem_ball', fderivWithin_pow, hasStrictFDerivAt_pow, IsCompactOperator.isCompact_closure_image_ball, NumberField.mixedEmbedding.fundamentalCone.smul_mem_iff_mem, ContinuousLinearMap.opNorm_lsmul, Seminorm.zero_comp, Seminorm.continuous_of_continuousAt_zero, Circle.toUnits_apply, CStarAlgebra.toStarModule, PointwiseConvergenceCLM.withSeminorms, WithSeminorms.continuous_iff_continuous_comp, WeakDual.seminormFamily_apply, ContinuousAlternatingMap.uniformContinuous_restrictScalars, Quaternion.linearIsometryEquivTuple_apply, Seminorm.ball_finset_sup, HasStrictFDerivAt.fun_mul, hasFDerivWithinAt_pow, gaugeSeminormFamily_ball, HasFDerivWithinAt.mul', Asymptotics.IsBigO.const_mul_right', Asymptotics.IsBigOWith.const_mul_left, Seminorm.comp_smul_apply, HasFDerivAtFilter.restrictScalars, WithSeminorms.isVonNBounded_iff_seminorm_bounded, norm_sub_mul_le, HasStrictDerivAt.complexToReal_fderiv, intervalIntegral.integral_unitInterval_deriv_eq_sub, convex_halfSpace_re_gt, tendsto_pow_cobounded_cobounded, ContinuousLinearMap.bilinearRestrictScalars_eq_restrictScalars_restrictScalarsL_comp, fderivWithin_mul', hasStrictDerivAt_exp_smul_const_of_mem_ball, HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq, tendsto_algebraMap_cobounded, Real.probChar_apply, spectralValueTerms_of_lt_natDegree, dist_algebraMap', hasFDerivAt_inv', SeminormFamily.basisSets_mem, Ideal.Quotient.norm_mk_le, RCLike.conj_smul, nnnorm_sub_mul_le', Circle.coe_injective, NormedSpace.expSeries_summable_of_mem_ball', Matrix.IsHermitian.mulVec_eigenvectorBasis, Circle.coe_zpow, Seminorm.closedBall_comp, tendsto_pow_atTop_nhds_zero_of_norm_lt_one, Subalgebra.SeparatesPoints.rclike_to_real, SeminormFamily.basisSets_iff, CStarAlgebra.exists_sum_four_unitary, RCLike.real_smul_eq_coe_mul, Seminorm.continuous_of_forall, fderiv_list_prod', HasMFDerivWithinAt.prod, Complex.log_inv_eq_integral, HasMFDerivAt.mul', Asymptotics.IsBigOWith.mul, spectralValue_X_pow, BoundedContinuousFunction.coe_npowRec, hasFDerivAt_exp, Pi.orthonormalBasis_repr, WithLp.instProdIsBoundedSMul, Circle.coe_div, toRingSeminorm_apply, Circle.coe_one, fderivWithin_pow_ring, Asymptotics.isLittleO_const_mul_right_iff', HasFDerivAt.fun_mul', Seminorm.continuous_iff_continuous_comp, HasStrictFDerivAt.mul_const, Real.fderiv_fourierChar_neg_bilinear_left_apply, HasFTaylorSeriesUpToOn.restrictScalars, AbsolutelyContinuousOnInterval.smul, algebraMap_cobounded_le_cobounded, fderivWithin_restrictScalars_comp, Seminorm.uniformContinuous_of_forall', PiLp.instIsBoundedSMul, hasDerivAt_exp_smul_const_of_mem_ball, HasFDerivAt.mul', WithSeminorms.hasBasis_ball, hasFDerivAt_list_prod_attach', Seminorm.finset_sup_le_sum, OrthonormalBasis.repr_reindex, LindemannWeierstrass.hasDerivAt_cexp_mul_sumIDeriv, FormalMultilinearSeries.ofScalars_norm_eq_mul, CFC.log_smul, balanced_iff_closedBall_smul, HasDerivWithinAt.comp_hasFDerivAt_of_eq, Circle.argEquiv_apply_coe, fderivWithin_fun_mul, le_iff_norm_sqrt_mul_rpow, Unitary.path_apply, Seminorm.finset_sup_apply_le, MemHolder.smul_iff, Seminorm.closedBall_finset_sup_eq_iInter, Complex.UnitDisc.coe_circle_smul, Seminorm.comp_add_le, ZMod.stdAddChar_apply, OrthonormalBasis.tensorProduct_repr_tmul_apply, ContinuousMultilinearMap.norm_mkPiAlgebraFin, ContinuousMultilinearMap.isUniformEmbedding_restrictScalars, hasFDerivAt_exp_of_mem_ball, Seminorm.smul_le_smul, Circle.argPartialEquiv_apply, MeasureTheory.charFun_eq_integral_probChar, Seminorm.ball_bot, ContinuousMultilinearMap.continuous_restrictScalars, Asymptotics.IsBigO.smul_isLittleO, PiTensorProduct.injectiveSeminorm_def, InnerProductSpace.nullSubmodule_le_ker_toDualMap_right, Seminorm.continuous_of_le, NumberField.mixedEmbedding.convexBodyLT'_convex, HolderWith.smul_iff, selfAdjoint.expUnitary_coe, fderivWithin_mul, IsCompactOperator.isCompact_closure_image_closedBall, RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrict, Complex.continuousOn_one_add_mul_inv, WithSeminorms.hasBasis_zero_ball, IsCompactOperator.isCompact_closure_image_of_isVonNBounded, FormalMultilinearSeries.ofScalars_norm, HasFDerivWithinAt.fun_mul, Complex.rotation, Asymptotics.IsLittleO.const_smul_left, HasStrictFDerivAt.finset_prod, Seminorm.neg_mem_closedBall_zero, TrivSqZeroExt.norm_inr, Seminorm.closedBall_smul_closedBall, BoundedContinuousFunction.char_apply, hasStrictFDerivAt_exp_smul_const_of_mem_ball, WithSeminorms.finset_sups, le_iff_norm_sqrt_mul_sqrt_inv, HasFDerivWithinAt.list_prod', NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal, fderiv_inv', fderivWithin_pow', balanced_zero, hasFDerivAt_finset_prod

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
dist_eq 📖	mathematical	—	Dist.dist PseudoMetricSpace.toDist toPseudoMetricSpace Norm.norm toNorm AddSemigroup.toAdd AddMonoid.toAddSemigroup AddCommMonoid.toAddMonoid NonUnitalNonAssocSemiring.toAddCommMonoid NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring toRing Ring.toNeg	—	—
norm_mul_le 📖	mathematical	—	Real Real.instLE Norm.norm toNorm NonUnitalNonAssocSemiring.toMul NonUnitalSemiring.toNonUnitalNonAssocSemiring Semiring.toNonUnitalSemiring Ring.toSemiring toRing Real.instMul	—	—

Subalgebra

Definitions

Name	Category	Theorems
normedCommRing 📖	CompOp	—
normedRing 📖	CompOp	3 math math: ContinuousMap.comp_attachBound_mem_closure, ContinuousMap.polynomial_comp_attachBound, ContinuousMap.polynomial_comp_attachBound_mem
seminormedCommRing 📖	CompOp	—
seminormedRing 📖	CompOp	—

SubalgebraClass

Definitions

Name	Category	Theorems
normedRing 📖	CompOp	—
seminormedRing 📖	CompOp	—

SubringClass

Definitions

Name	Category	Theorems
toNormedCommRing 📖	CompOp	—
toNormedRing 📖	CompOp	21 math math: Subalgebra.spectrum_sUnion_connectedComponentIn, StarAlgebra.elemental.characterSpaceToSpectrum_coe, Valued.integer.exists_norm_lt_one, Valued.integer.norm_irreducible_lt_one, StarAlgebra.elemental.bijective_characterSpaceToSpectrum, Subalgebra.spectrum_eq_of_isPreconnected_compl, StarSubalgebra.spectrum_eq, Valued.integer.norm_le_one, Subalgebra.frontier_subset_frontier, Valued.integer.coe_span_singleton_eq_closedBall, Valued.integer.norm_unit, StarSubalgebra.mem_spectrum_iff, StarSubalgebra.to_cstarRing, Subalgebra.isUnit_of_isUnit_val_of_eventually, Subalgebra.frontier_spectrum, StarSubalgebra.coe_isUnit, Irreducible.maximalIdeal_eq_closedBall, Valued.integer.isUnit_iff_norm_eq_one, Irreducible.maximalIdeal_pow_eq_closedBall_pow, StarAlgebra.elemental.continuous_characterSpaceToSpectrum, Valued.integer.norm_irreducible_pos
toSeminormedCommRing 📖	CompOp	1 math math: Valued.integer.exists_nnnorm_lt_one
toSeminormedRing 📖	CompOp	6 math math: Subalgebra.spectrum_sUnion_connectedComponentIn, toNormMulClass, Subalgebra.spectrum_eq_of_isPreconnected_compl, Subalgebra.frontier_subset_frontier, Subalgebra.frontier_spectrum, toNormOneClass

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
toNormMulClass 📖	mathematical	—	NormMulClass SetLike.instMembership SeminormedRing.toNorm toSeminormedRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing	—	NormMulClass.induced RingHom.instRingHomClass
toNormOneClass 📖	mathematical	—	NormOneClass SetLike.instMembership SeminormedRing.toNorm toSeminormedRing OneMemClass.one AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne SeminormedRing.toRing AddSubmonoidWithOneClass.toOneMemClass SubsemiringClass.addSubmonoidWithOneClass Semiring.toNonAssocSemiring Ring.toSemiring toSubsemiringClass Ring.toNonAssocRing	—	NormOneClass.induced RingHom.instRingHomClass

ULift

Definitions

Name	Category	Theorems
nonUnitalNormedCommRing 📖	CompOp	—
nonUnitalNormedRing 📖	CompOp	—
nonUnitalSeminormedCommRing 📖	CompOp	—
nonUnitalSeminormedRing 📖	CompOp	—
normedCommRing 📖	CompOp	—
normedRing 📖	CompOp	—
seminormedCommRing 📖	CompOp	—
seminormedRing 📖	CompOp	—

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
normOneClass 📖	mathematical	—	NormOneClass norm SeminormedAddCommGroup.toNorm one	—	NormOneClass.norm_one

Units

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
nnnorm_pos 📖	mathematical	—	NNReal Preorder.toLT PartialOrder.toPreorder NNReal.instPartialOrder NNReal.instZero NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing val MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring NormedRing.toRing	—	norm_pos
norm_pos 📖	mathematical	—	Real Real.instLT Real.instZero Norm.norm NormedRing.toNorm val MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring NormedRing.toRing	—	norm_pos_iff ne_zero

(root)

Definitions

Name	Category	Theorems
NonUnitalNormedCommRing 📖	CompData	—
NonUnitalNormedRing 📖	CompData	—
NonUnitalSeminormedCommRing 📖	CompData	—
NonUnitalSeminormedRing 📖	CompData	—
NormMulClass 📖	CompData	5 math math: NormedDivisionRing.toNormMulClass, SubringClass.toNormMulClass, Int.instNormMulClass, NormMulClass.induced, PadicInt.instNormMulClass
NormOneClass 📖	CompData	21 math math: SeparationQuotient.instNormOneClass, MulOpposite.normOneClass, TrivSqZeroExt.instNormOneClass, NormMulClass.toNormOneClass, CStarRing.instNormOneClassOfNontrivial, NormedDivisionRing.to_normOneClass, Matrix.instNormOneClassOfNonempty, NormOneClass.induced, PadicInt.instNormOneClass, Prod.normOneClass, Matrix.linfty_opNormOneClass, ULift.normOneClass, Unitization.instNormOneClass, SubringClass.toNormOneClass, ContinuousLinearMap.normOneClass, lp.instNormOneClassSubtypePreLpMemAddSubgroupTopENNRealOfNonempty, Quaternion.instNormOneClassReal, Int.instNormOneClass, ContinuousMap.instNormOneClassOfNonempty, BoundedContinuousFunction.instNormOneClass, Pi.normOneClass
NormedCommRing 📖	CompData	—
NormedRing 📖	CompData	—
RingHomIsometric 📖	CompData	3 math math: RingHomIsometric.starRingEnd, RingHomIsometric.ids, RingHomIsometric.inv
SeminormedCommRing 📖	CompData	—
SeminormedRing 📖	CompData	—
nnnormHom 📖	CompOp	1 math math: nnnormHom_apply
normHom 📖	CompOp	1 math math: normHom_apply

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
enorm_mul 📖	mathematical	—	ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup ENNReal Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring CommSemiring.toSemiring ENNReal.instCommSemiring	—	nnnorm_mul
enorm_one 📖	mathematical	—	ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup ENNReal AddMonoidWithOne.toOne AddCommMonoidWithOne.toAddMonoidWithOne instAddCommMonoidWithOneENNReal	—	nnnorm_one
enorm_pow 📖	mathematical	—	ENorm.enorm NNNorm.toENorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing ENNReal CommSemiring.toSemiring ENNReal.instCommSemiring	—	nnnorm_pow
eventually_norm_pow_le 📖	mathematical	—	Filter.Eventually Real Real.instLE Norm.norm SeminormedRing.toNorm Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing Real.instMonoid Filter.atTop Nat.instPreorder	—	Filter.eventually_atTop instIsDirectedOrder IsStrictOrderedRing.toIsOrderedRing Nat.instIsStrictOrderedRing instArchimedeanNat norm_pow_le'
mulLeft_bound 📖	mathematical	—	Real Real.instLE Norm.norm NonUnitalSeminormedRing.toNorm DFunLike.coe AddMonoidHom AddZeroClass.toAddZero AddMonoid.toAddZeroClass AddCommMonoid.toAddMonoid NonUnitalNonAssocSemiring.toAddCommMonoid NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing AddMonoidHom.instFunLike AddMonoidHom.mulLeft Real.instMul	—	norm_mul_le
mulRight_bound 📖	mathematical	—	Real Real.instLE Norm.norm NonUnitalSeminormedRing.toNorm DFunLike.coe AddMonoidHom AddZeroClass.toAddZero AddMonoid.toAddZeroClass AddCommMonoid.toAddMonoid NonUnitalNonAssocSemiring.toAddCommMonoid NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing AddMonoidHom.instFunLike AddMonoidHom.mulRight Real.instMul	—	mul_comm norm_mul_le
nnnormHom_apply 📖	mathematical	—	DFunLike.coe MonoidWithZeroHom NNReal NonAssocSemiring.toMulZeroOneClass Semiring.toNonAssocSemiring Ring.toSemiring SeminormedRing.toRing NNReal.instSemiring MonoidWithZeroHom.funLike nnnormHom NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing	—	—
nnnorm_commutator_units_sub_one_le 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup Units.val MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing Units Units.instMul Units.instInv AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring instOfNatAtLeastTwo AddMonoidWithOne.toNatCast AddCommMonoidWithOne.toAddMonoidWithOne NonAssocSemiring.toAddCommMonoidWithOne Nat.instAtLeastTwoHAddOfNat	—	Nat.instAtLeastTwoHAddOfNat norm_commutator_units_sub_one_le
nnnorm_intCast_abs 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing AddGroupWithOne.toIntCast Ring.toAddGroupWithOne SeminormedRing.toRing abs instLatticeInt Int.instAddGroup	—	Nat.cast_natAbs abs_abs Int.instAddLeftMono covariant_swap_add_of_covariant_add
nnnorm_mul 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NNReal Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring	—	NNReal.eq norm_mul
nnnorm_mul_le 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring	—	norm_mul_le
nnnorm_mul_le_of_le 📖	mathematical	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring	—	LE.le.trans nnnorm_mul_le mul_le_mul' NNReal.mulLeftMono covariant_swap_mul_of_covariant_mul
nnnorm_mul₃_le 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring	—	nnnorm_mul_le_of_le norm_mul_le le_rfl
nnnorm_natAbs 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing AddMonoidWithOne.toNatCast AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne SeminormedRing.toRing AddGroupWithOne.toIntCast	—	norm_natAbs
nnnorm_one 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NNReal NNReal.instOne	—	NNReal.eq NormOneClass.norm_one
nnnorm_pow 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing NNReal NNReal.instSemiring	—	MonoidHom.map_pow
nnnorm_pow_le 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing NNReal.instSemiring	—	pow_zero nnnorm_one nnnorm_pow_le'
nnnorm_pow_le' 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing NNReal.instSemiring	—	pow_one pow_succ' le_trans nnnorm_mul_le mul_le_mul_right NNReal.mulLeftMono
nnnorm_prod 📖	mathematical	—	NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing Finset.prod CommRing.toCommMonoid SeminormedCommRing.toCommRing NNReal CommSemiring.toCommMonoid NNReal.instCommSemiring	—	map_prod MonoidHom.instMonoidHomClass
nnnorm_sub_mul_le 📖	mathematical	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing NNReal.instOne	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing Distrib.toAdd NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne	—	norm_sub_mul_le
nnnorm_sub_mul_le' 📖	mathematical	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing NNReal.instOne	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing Distrib.toAdd NonAssocSemiring.toNonUnitalNonAssocSemiring Semiring.toNonAssocSemiring NNReal.instSemiring AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne	—	norm_sub_mul_le'
normHom_apply 📖	mathematical	—	DFunLike.coe MonoidWithZeroHom Real NonAssocSemiring.toMulZeroOneClass Semiring.toNonAssocSemiring Ring.toSemiring SeminormedRing.toRing Real.semiring MonoidWithZeroHom.funLike normHom Norm.norm SeminormedRing.toNorm	—	—
norm_commutator_units_sub_one_le 📖	mathematical	—	Real Real.instLE Norm.norm SeminormedRing.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Units.val MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing Units Units.instMul Units.instInv AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne Real.instMul instOfNatAtLeastTwo Real.instNatCast Nat.instAtLeastTwoHAddOfNat	—	Nat.instAtLeastTwoHAddOfNat sub_mul Units.mul_inv_cancel_right Units.mul_inv norm_mul₃_le sub_one_mul mul_sub_one Mathlib.Tactic.Abel.unfold_sub Mathlib.Tactic.Abel.subst_into_addg Mathlib.Tactic.Abel.term_atomg Mathlib.Tactic.Abel.subst_into_negg Mathlib.Tactic.Abel.term_neg neg_zero Mathlib.Tactic.Abel.term_add_constg zero_add Mathlib.Tactic.Abel.termg_eq add_zero one_zsmul Mathlib.Meta.NormNum.IsNat.to_eq Mathlib.Meta.NormNum.IsInt.to_isNat Mathlib.Meta.NormNum.isInt_neg Mathlib.Meta.NormNum.IsNat.to_isInt Mathlib.Meta.NormNum.isNat_ofNat Mathlib.Tactic.Abel.const_add_termg Mathlib.Tactic.Abel.term_add_termg Mathlib.Meta.NormNum.isInt_add Mathlib.Tactic.Abel.zero_termg mul_le_mul_of_nonneg_right IsOrderedRing.toMulPosMono Real.instIsOrderedRing norm_sub_le norm_nonneg add_le_add IsOrderedAddMonoid.toAddLeftMono Real.instIsOrderedAddMonoid covariant_swap_add_of_covariant_add norm_mul_le Mathlib.Tactic.Ring.of_eq Mathlib.Tactic.Ring.mul_congr Mathlib.Tactic.Ring.add_congr Mathlib.Tactic.Ring.atom_pf Mathlib.Tactic.Ring.add_mul Mathlib.Tactic.Ring.mul_add Mathlib.Tactic.Ring.mul_pf_left Mathlib.Tactic.Ring.mul_pf_right Mathlib.Tactic.Ring.one_mul Mathlib.Tactic.Ring.mul_zero Mathlib.Tactic.Ring.add_pf_add_zero Mathlib.Tactic.Ring.zero_mul Mathlib.Tactic.Ring.add_pf_add_overlap Mathlib.Tactic.Ring.add_overlap_pf Mathlib.Meta.NormNum.IsNat.to_raw_eq Mathlib.Meta.NormNum.isNat_add Mathlib.Meta.NormNum.IsNat.of_raw Mathlib.Tactic.Ring.add_pf_zero_add Mathlib.Tactic.Ring.mul_one Mathlib.Tactic.Ring.cast_pos Mathlib.Meta.NormNum.instAtLeastTwo
norm_intCast_abs 📖	mathematical	—	Norm.norm SeminormedRing.toNorm AddGroupWithOne.toIntCast Ring.toAddGroupWithOne SeminormedRing.toRing abs instLatticeInt Int.instAddGroup	—	Nat.cast_natAbs abs_abs Int.instAddLeftMono covariant_swap_add_of_covariant_add
norm_mul 📖	mathematical	—	Norm.norm Real Real.instMul	—	NormMulClass.norm_mul
norm_mul_le 📖	mathematical	—	Real Real.instLE Norm.norm NonUnitalSeminormedRing.toNorm Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing Real.instMul	—	NonUnitalSeminormedRing.norm_mul_le
norm_mul_le_of_le 📖	mathematical	Real Real.instLE Norm.norm NonUnitalSeminormedRing.toNorm	Real Real.instLE Norm.norm NonUnitalSeminormedRing.toNorm Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing Real.instMul	—	LE.le.trans norm_mul_le mul_le_mul IsOrderedRing.toPosMulMono Real.instIsOrderedRing IsOrderedRing.toMulPosMono norm_nonneg
norm_mul₃_le 📖	mathematical	—	Real Real.instLE Norm.norm NonUnitalSeminormedRing.toNorm Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalRing.toNonUnitalNonAssocRing NonUnitalSeminormedRing.toNonUnitalRing Real.instMul	—	norm_mul_le_of_le norm_mul_le le_rfl
norm_natAbs 📖	mathematical	—	Norm.norm SeminormedRing.toNorm AddMonoidWithOne.toNatCast AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne SeminormedRing.toRing AddGroupWithOne.toIntCast	—	Int.cast_natCast norm_neg Int.cast_neg
norm_pow 📖	mathematical	—	Norm.norm SeminormedRing.toNorm Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing Real Real.instMonoid	—	MonoidHom.map_pow
norm_pow_le 📖	mathematical	—	Real Real.instLE Norm.norm SeminormedRing.toNorm Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing Real.instMonoid	—	pow_zero NormOneClass.norm_one norm_pow_le'
norm_pow_le' 📖	mathematical	—	Real Real.instLE Norm.norm SeminormedRing.toNorm Monoid.toPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero Ring.toSemiring SeminormedRing.toRing Real.instMonoid	—	NNReal.coe_mono nnnorm_pow_le'
norm_prod 📖	mathematical	—	Norm.norm SeminormedRing.toNorm SeminormedCommRing.toSeminormedRing Finset.prod CommRing.toCommMonoid SeminormedCommRing.toCommRing Real Real.instCommMonoid	—	map_prod MonoidHom.instMonoidHomClass
norm_sub_mul_le 📖	mathematical	Real Real.instLE Norm.norm SeminormedRing.toNorm Real.instOne	Real Real.instLE Norm.norm SeminormedRing.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing Real.instAdd AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne	—	mul_one_sub norm_sub_le_norm_sub_add_norm_sub add_le_add_right IsOrderedAddMonoid.toAddLeftMono Real.instIsOrderedAddMonoid norm_mul_le mul_le_mul_of_nonneg_right IsOrderedRing.toMulPosMono Real.instIsOrderedRing norm_nonneg one_mul
norm_sub_mul_le' 📖	mathematical	Real Real.instLE Norm.norm SeminormedRing.toNorm Real.instOne	Real Real.instLE Norm.norm SeminormedRing.toNorm SubNegMonoid.toSub AddGroup.toSubNegMonoid SeminormedAddGroup.toAddGroup SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup SeminormedRing.toNonUnitalSeminormedRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonAssocRing.toNonUnitalNonAssocRing Ring.toNonAssocRing SeminormedRing.toRing Real.instAdd AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne	—	add_comm norm_sub_mul_le
one_le_nnnorm_one 📖	mathematical	—	NNReal Preorder.toLE PartialOrder.toPreorder NNReal.instPartialOrder NNReal.instOne NNNorm.nnnorm SeminormedAddGroup.toNNNorm SeminormedAddCommGroup.toSeminormedAddGroup NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalNormedRing.toNonUnitalSeminormedRing NormedRing.toNonUnitalNormedRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing	—	one_le_norm_one
one_le_norm_one 📖	mathematical	—	Real Real.instLE Real.instOne Norm.norm NormedRing.toNorm AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing	—	le_mul_iff_one_le_left IsOrderedRing.toMulPosMono Real.instIsOrderedRing MulPosStrictMono.toMulPosReflectLE IsStrictOrderedRing.toMulPosStrictMono Real.instIsStrictOrderedRing norm_pos_iff one_ne_zero NeZero.one mul_one norm_mul_le

---

← Back to Index