Documentation Verification Report

Defs

📁 Source: Mathlib/Analysis/Calculus/FDeriv/Defs.lean

Statistics

MetricCount
DefinitionsDifferentiable, DifferentiableAt, DifferentiableOn, DifferentiableWithinAt, HasFDerivAt, HasFDerivAtFilter, HasFDerivWithinAt, HasStrictFDerivAt, fderiv, fderivWithin
10
TheoremsisLittleO, isLittleOTVS, of_isLittleO, isLittleO, isLittleOTVS, of_isLittleO, fderivWithin_def, fderivWithin_univ, fderivWithin_zero_of_not_differentiableWithinAt, fderiv_def, hasFDerivAtFilter_iff_isLittleO, hasFDerivAtFilter_iff_isLittleOTVS, hasStrictFDerivAt_iff_isLittleO, hasStrictFDerivAt_iff_isLittleOTVS
14
Total24

HasFDerivAtFilter

Theorems

NameKindAssumesProvesValidatesDepends On
isLittleO 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Asymptotics.IsLittleO
SeminormedAddCommGroup.toNorm
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
SeminormedAddGroup.toAddGroup
SeminormedAddCommGroup.toSeminormedAddGroup
DFunLike.coe
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.funLike
hasFDerivAtFilter_iff_isLittleO
isLittleOTVS 📖mathematicalHasFDerivAtFilterAsymptotics.IsLittleOTVS
ContinuousENorm.toENorm
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddGroup.toPseudoMetricSpace
SeminormedAddCommGroup.toSeminormedAddGroup
NonUnitalSeminormedRing.toSeminormedAddCommGroup
NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing
SeminormedCommRing.toNonUnitalSeminormedCommRing
NormedCommRing.toSeminormedCommRing
NormedField.toNormedCommRing
NontriviallyNormedField.toNormedField
SeminormedAddGroup.toContinuousENorm
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddCommGroup.toAddGroup
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
Module.toDistribMulAction
AddCommGroup.toAddCommMonoid
SubNegMonoid.toSub
DFunLike.coe
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.funLike
of_isLittleO 📖mathematicalAsymptotics.IsLittleO
SeminormedAddCommGroup.toNorm
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
SeminormedAddGroup.toAddGroup
SeminormedAddCommGroup.toSeminormedAddGroup
DFunLike.coe
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
RingHom.id
Semiring.toNonAssocSemiring
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommGroup.toAddCommMonoid
SeminormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
ContinuousLinearMap.funLike
HasFDerivAtFilterhasFDerivAtFilter_iff_isLittleO

HasStrictFDerivAt

Theorems

NameKindAssumesProvesValidatesDepends On
isLittleO 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Asymptotics.IsLittleO
SeminormedAddCommGroup.toNorm
nhds
instTopologicalSpaceProd
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
SeminormedAddGroup.toAddGroup
SeminormedAddCommGroup.toSeminormedAddGroup
DFunLike.coe
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.funLike
hasStrictFDerivAt_iff_isLittleO
isLittleOTVS 📖mathematicalHasStrictFDerivAtAsymptotics.IsLittleOTVS
ContinuousENorm.toENorm
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddGroup.toPseudoMetricSpace
SeminormedAddCommGroup.toSeminormedAddGroup
NonUnitalSeminormedRing.toSeminormedAddCommGroup
NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing
SeminormedCommRing.toNonUnitalSeminormedCommRing
NormedCommRing.toSeminormedCommRing
NormedField.toNormedCommRing
NontriviallyNormedField.toNormedField
SeminormedAddGroup.toContinuousENorm
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddCommGroup.toAddGroup
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
Module.toDistribMulAction
AddCommGroup.toAddCommMonoid
nhds
instTopologicalSpaceProd
SubNegMonoid.toSub
DFunLike.coe
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.funLike
of_isLittleO 📖mathematicalAsymptotics.IsLittleO
SeminormedAddCommGroup.toNorm
nhds
instTopologicalSpaceProd
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
SeminormedAddGroup.toAddGroup
SeminormedAddCommGroup.toSeminormedAddGroup
DFunLike.coe
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
SeminormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
ContinuousLinearMap.funLike
HasStrictFDerivAthasStrictFDerivAt_iff_isLittleO

(root)

Definitions

NameCategoryTheorems
Differentiable 📖MathDef
126 mathmath: differentiable_of_differentiableOn_union_of_isOpen, Real.differentiable_arctan, differentiable_const_cpow_of_neZero, ContinuousLinearEquiv.differentiable, HasFTaylorSeriesUpTo.differentiable, Real.differentiable_sinh, differentiable_fun_neg_iff, ContDiff.differentiable_deriv_two, differentiable_intCast, ContinuousAffineMap.differentiable, contDiff_one_iff_fderiv, differentiable_descPochhammer_eval, differentiable_fst, differentiable_finCons', IsBoundedLinearMap.differentiable, StrongFEPair.differentiable_Λ, Complex.analyticOnNhd_univ_iff_differentiable, differentiable_apply, differentiable_euclidean, contDiff_succ_iff_fderiv, HurwitzZeta.differentiable_expZeta_of_ne_zero, SchwartzMap.differentiable, HurwitzZeta.differentiable_hurwitzZetaOdd, HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZeta, differentiable_snd, differentiableOn_univ, Complex.differentiable_exp, Real.differentiable_cos, VectorFourier.differentiable_fourierIntegral, Polynomial.differentiable_aeval, Complex.differentiable_iteratedDeriv_sin, ContDiff.differentiable_iteratedFDeriv, Real.differentiable_fourierIntegral, ZMod.differentiable_completedLFunction, contDiff_iff_iteratedDeriv, Real.differentiable_exp, Differentiable.fderiv_two, differentiable_inner, differentiable_add_const_iff, contDiff_iff_continuous_differentiable, MDifferentiable.differentiable, contDiff_nat_iff_iteratedDeriv, Complex.differentiable_Gammaℝ_inv, differentiable_natCast, ContinuousLinearMap.differentiable, Conformal.differentiable, ContDiff.differentiable_iteratedDeriv, differentiable_pi, Real.differentiable_iteratedDeriv_cos, differentiable_zero, Complex.differentiable_sin, DirichletCharacter.differentiable_LFunction, contDiff_succ_iff_fderiv_apply, Complex.analyticOn_univ_iff_differentiable, differentiable_const_add_iff, Real.differentiable_sin, differentiable_const, Real.differentiable_cosh, intervalIntegral.differentiable_integral_of_continuous, differentiable_pow, differentiable_piLp, Real.differentiable_mulExpNegMulSq, Complex.differentiable_one_div_Gamma, contDiff_nat_iff_continuous_differentiable, Real.differentiable_iteratedDeriv_sin, LinearIsometryEquiv.comp_differentiable_iff, ContinuousLinearEquiv.comp_differentiable_iff, differentiable_one, differentiable_neg, Real.differentiable_iteratedDeriv_cosh, HurwitzZeta.differentiable_cosZeta_of_ne_zero, Real.differentiable_fourierChar, contDiff_succ_iff_deriv, ContDiff.differentiable, differentiable_completedZeta₀, Complex.differentiable_sinh, contDiff_infty_iff_deriv, Complex.differentiable_iteratedDeriv_sinh, Function.Periodic.differentiable_qParam, Real.differentiable_fourierChar_neg_bilinear_right, differentiable_norm_rpow, Real.differentiable_iteratedDeriv_sinh, ContDiff.differentiable_iteratedDeriv', LinearIsometryEquiv.differentiable, ZMod.differentiable_completedLFunction₀, differentiable_tsum', Polynomial.differentiable, AffineMap.differentiable, ContinuousAlternatingMap.differentiable, Real.differentiable_fourierChar_neg_bilinear_left, differentiable_fun_id, differentiable_star_iff, Complex.differentiable_cosh, Complex.differentiable_iteratedDeriv_cos, Real.differentiable_arsinh, differentiable_id, IsBoundedBilinearMap.differentiable, Complex.differentiable_cos, Real.differentiable_rpow_const, differentiable_finCons, contDiff_infty_iff_fderiv, ZMod.differentiable_LFunction_of_sum_zero, ContDiff.differentiable_one, expNegInvGlue.differentiable_polynomial_eval_inv_mul, differentiable_tsum, HurwitzZeta.differentiable_completedHurwitzZetaEven₀, HurwitzZeta.differentiable_completedHurwitzZetaOdd, differentiable_of_differentiableOn_iUnion_of_isOpen, DirichletCharacter.differentiable_LFunctionTrivChar₁, Real.differentiable_fourier, mdifferentiable_iff_differentiable, HurwitzZeta.differentiable_completedSinZeta, HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEven, differentiable_sigmoid, WeakFEPair.differentiable_Λ₀, DirichletCharacter.differentiable_completedLFunction, differentiable_ofNat, ContinuousLinearEquiv.comp_right_differentiable_iff, diffContOnCl_univ, HurwitzZeta.differentiableAt_sinZeta, contDiff_one_iff_deriv, differentiable_circleMap, HurwitzZeta.differentiable_completedCosZeta₀, Complex.differentiable_iteratedDeriv_cosh, differentiable_neg_iff, differentiable_of_subsingleton
DifferentiableAt 📖MathDef
183 mathmath: WeakFEPair.differentiableAt_Λ, IsBoundedLinearMap.differentiableAt, differentiableAt_comp_const_add, HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div, ConformalAt.differentiableAt, differentiableAt_comp_neg, ZMod.differentiableAt_LFunction, Complex.differentiableAt_sin, Real.differentiableAt_mulExpNegMulSq, HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div, ModularFormClass.differentiableAt_comp_ofComplex, Real.differentiableAt_arcsin, HurwitzZeta.differentiableAt_hurwitzZetaEven, differentiableAt_zpow, not_differentiableAt_of_local_left_inverse_hasDerivAt_zero, deriv_mem_iff, Filter.EventuallyEq.differentiableAt_iff, continuousOn_dslope, differentiableAt_natCast, AkraBazziRecurrence.differentiableAt_one_add_smoothingFn, differentiableAt_of_isInvertible_fderiv, not_differentiableAt_norm_zero, DiffContOnCl.differentiableAt', FDerivMeasurableAux.differentiable_set_subset_D, DifferentiableOn.eventually_differentiableAt, Complex.not_differentiableAt_Gamma_neg_nat, differentiableAt_sigmoid, Complex.differentiableAt_GammaAux, Differentiable.differentiableAt, differentiableAt_smul_iff, differentiableAt_comp_add_const, LocallyBoundedVariationOn.ae_differentiableAt, ContDiffAt.differentiableAt, ZMod.differentiableAt_completedLFunction, ContDiffPointwiseHolderAt.differentiableAt, MDifferentiableAt.differentiableAt, HasFPowerSeriesAt.differentiableAt, DifferentiableWithinAt.differentiableAt, Monotone.ae_differentiableAt, Real.differentiableAt_rpow_const_of_ne, HasDerivAt.differentiableAt, ae_differentiableAt_norm, DirichletCharacter.differentiableAt_LFunction, differentiableAt_star_iff, differentiableAt_ofNat, ProbabilityTheory.differentiableAt_mgf, FDerivMeasurableAux.D_subset_differentiable_set, FDerivMeasurableAux.differentiable_set_eq_D, differentiableAt_apply, measurableSet_of_differentiableAt_of_isComplete, hasDerivAt_deriv_iff, continuousAt_dslope_same, Real.differentiableAt_rpow_of_ne, Real.differentiableAt_log, HarmonicAt.differentiableAt_complex_partial, ContinuousLinearEquiv.differentiableAt, AkraBazziRecurrence.differentiableAt_one_sub_smoothingFn, differentiableAt_inv_iff, DifferentiableOn.differentiableAt, Real.differentiableAt_cos, LinearIsometryEquiv.comp_differentiableAt_iff, Real.differentiableAt_Gamma, HasStrictFDerivAt.differentiableAt, fderiv_mem_iff, differentiableAt_fst, dense_differentiableAt_norm, Complex.differentiableAt_exp, differentiableAt_jacobiTheta₂_fst, AffineMap.differentiableAt, Complex.differentiableAt_tan, ModularForm.differentiableAt_eta_tprod, Real.differentiableAt_log_iff, differentiableAt_complex_iff_differentiableAt_real, differentiableAt_comp_const_sub, IsBoundedBilinearMap.differentiableAt, differentiableAt_abs_neg, differentiableAt_zero, differentiableAt_const_add_iff, differentiableAt_finCons, HurwitzZeta.differentiableAt_completedHurwitzZetaEven, HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven, HasGradientAt.differentiableAt, Real.differentiableAt_cosh, ContinuousLinearMap.differentiableAt, differentiableAt_piLp, ProbabilityTheory.differentiableAt_iteratedDeriv_mgf, Polynomial.differentiableAt_aeval, differentiableAt_norm_smul, ImplicitFunctionData.differentiableAt_implicitFunction, Real.differentiableAt_arctan, HasFTaylorSeriesUpToOn.differentiableAt, ModularForm.differentiableAt_eta_of_mem_upperHalfPlaneSet, ModularFormClass.differentiableAt_cuspFunction, measurableSet_of_differentiableAt, LipschitzWith.ae_differentiableAt, differentiableAt_fun_neg_iff, DirichletCharacter.differentiableAt_completedLFunction, Real.not_differentiableAt_inv_log_zero, differentiableAt_iff_comp_const_sub, Real.differentiableAt_tan, differentiableAt_add_const_iff, HasFPowerSeriesAt.eventually_differentiableAt, HurwitzZeta.differentiableAt_hurwitzZeta, differentiableAt_riemannZeta, differentiableAt_comp_add_left, differentiableAt_euclidean, ContinuousLinearEquiv.comp_differentiableAt_iff, differentiableAt_abs_pos, differentiableAt_const_cpow_of_neZero, ContinuousLinearEquiv.comp_right_differentiableAt_iff, Real.differentiableAt_arccos, Real.not_DifferentiableAt_log_mul_zero, differentiableAt_comp_add_right, Complex.not_differentiableAt_Gamma_zero, HasFDerivAt.differentiableAt, Real.not_differentiableAt_rpow_const_zero, AnalyticAt.differentiableAt, differentiableAt_intCast, HurwitzZeta.differentiableAt_completedCosZeta, differentiableAt_neg_iff, Complex.differentiableAt_cosh, Complex.differentiableAt_Gamma_nat_add_one, differentiableAt_fun_id, Real.differentiableAt_tan_of_mem_Ioo, differentiableAt_finCons', differentiableAt_jacobiTheta₂_snd, AkraBazziRecurrence.differentiableAt_smoothingFn, Real.differentiableAt_binEntropy, mellin_differentiableAt_of_isBigO_rpow_exp, Real.differentiableAt_exp, differentiableAt_const, LipschitzWith.ae_differentiableAt_of_real, Polynomial.differentiableAt, Complex.differentiableAt_Gamma_one, Real.differentiableAt_arcosh, ContDiffAt.differentiableAt_one, mdifferentiableAt_iff_differentiableAt, differentiableAt_pow, measurableSet_of_differentiableAt_of_isComplete_with_param, differentiableAt_iff_comp_add_const, differentiableAt_snd, Real.differentiableAt_negMulLog, Complex.differentiableAt_sinh, DiffContOnCl.differentiableAt, Complex.differentiableAt_log, differentiableAt_completedZeta, differentiableAt_pi, Real.differentiableAt_sinh, conformalAt_iff_differentiableAt_or_differentiableAt_comp_conj, LinearIsometryEquiv.differentiableAt, Complex.differentiableAt_Gamma, HurwitzZeta.differentiableAt_cosZeta, mellin_differentiableAt_of_isBigO_rpow, differentiableAt_of_deriv_ne_zero, differentiableWithinAt_univ, Real.differentiableAt_qaryEntropy, ContDiffAt.differentiableAt_iteratedFDeriv, UpperHalfPlane.mdifferentiableAt_iff, differentiableAt_one, differentiableAt_inv, differentiableAt_abs, differentiableAt_dslope_of_ne, differentiableAt_iff_comp_const_add, differentiableAt_inverse, Real.differentiableAt_sin, differentiableAt_comp_sub, InformationTheory.not_differentiableAt_klFun_zero, SchwartzMap.differentiableAt, Complex.differentiableAt_cos, differentiableAt_iff_comp_sub_const, differentiableAt_id, Real.differentiableAt_binEntropy_iff_ne_zero_one, ContinuousAffineMap.differentiableAt, Complex.analyticAt_iff_eventually_differentiableAt, differentiableAt_comp_sub_const, not_differentiableAt_abs_zero, differentiableAt_iff_comp_neg, LipschitzWith.ae_differentiableAt_real, HurwitzZeta.differentiableAt_expZeta, differentiableAt_jacobiTheta, differentiableAt_iteratedDerivWithin_cexp, measurableSet_of_differentiableAt_with_param, Real.differentiableAt_negMulLog_iff
DifferentiableOn 📖MathDef
111 mathmath: Real.differentiableOn_arcosh, differentiableOn_star_iff, mdifferentiableOn_iff, differentiableOn_pi, Real.differentiableOn_log, Real.differentiableOn_arcsin, contDiffOn_iff_continuousOn_differentiableOn, Complex.differentiableOn_dslope, differentiableOn_singleton, differentiableOn_iteratedDerivWithin_cotTerm, contDiffOn_nat_iff_continuousOn_differentiableOn_deriv, Polynomial.differentiableOn_aeval, ContinuousLinearEquiv.comp_differentiableOn_iff, HasFPowerSeriesWithinOnBall.differentiableOn, differentiableOn_univ, differentiableOn_iUnion_iff_of_isOpen, differentiableOn_dslope_of_notMem, Real.differentiableOn_rpow_const, HasFPowerSeriesOnBall.differentiableOn, IsBoundedBilinearMap.differentiableOn, differentiableOn_finCons', IsBoundedLinearMap.differentiableOn, contDiffOn_infty_iff_fderivWithin, differentiableOn_one, contDiffOn_nat_iff_continuousOn_differentiableOn, EisensteinSeries.div_linear_zpow_differentiableOn, ProbabilityTheory.differentiableOn_mgf, Complex.IsExactOn.differentiableOn, PeriodPair.differentiableOn_derivWeierstrassP, LinearIsometryEquiv.comp_differentiableOn_iff, contDiffOn_succ_iff_fderiv_of_isOpen, ContDiffOn.differentiableOn, Real.differentiableOn_Gamma_Ioi, Real.differentiableOn_mul_log, differentiableOn_fun_neg_iff, mdifferentiable_iff, differentiableOn_const, differentiableOn_add_const_iff, AkraBazziRecurrence.differentiableOn_one_add_smoothingFn, ContDiffOn.differentiableOn_one, ContDiffOn.differentiableOn_iteratedDerivWithin, differentiableOn_piLp, HasFiniteFPowerSeriesOnBall.differentiableOn, differentiableOn_pow, mdifferentiableOn_iff_of_subset_source, contDiffOn_infty_iff_fderiv_of_isOpen, Complex.analyticOn_iff_differentiableOn, Complex.differentiableOn_compl_singleton_and_continuousAt_iff, contDiffOn_succ_iff_deriv_of_isOpen, differentiableOn_ofNat, Real.differentiableOn_negMulLog, differentiableOn_union_iff_of_isOpen, Polynomial.differentiableOn, differentiableOn_neg, differentiableOn_neg_iff, ContinuousLinearEquiv.comp_right_differentiableOn_iff, MDifferentiableOn.differentiableOn, LSeries_differentiableOn, mdifferentiableOn_iff_of_mem_maximalAtlas', Real.differentiableOn_arccos, differentiableOn_inverse, spectrum.differentiableOn_inverse_one_sub_smul, differentiableOn_euclidean, Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOn, mdifferentiableOn_iff_differentiableOn, ContinuousLinearEquiv.differentiableOn, SummableLocallyUniformlyOn.differentiableOn, AkraBazziRecurrence.differentiableOn_one_sub_smoothingFn, ProbabilityTheory.differentiableOn_complexMGF, contDiffOn_succ_iff_fderivWithin, IsClosed.diffContOnCl_iff, ContinuousAffineMap.differentiableOn, contDiffOn_succ_iff_fderiv_apply, contDiffOn_succ_iff_derivWithin, differentiableOn_intCast, ContinuousLinearMap.differentiableOn, AffineMap.differentiableOn, differentiableOn_congr, differentiableOn_zero, Differentiable.differentiableOn, differentiableOn_empty, PeriodPair.differentiableOn_weierstrassPExcept, Complex.analyticOnNhd_iff_differentiableOn, PeriodPair.differentiableOn_weierstrassP, differentiableOn_apply, EisensteinSeries.eisSummand_extension_differentiableOn, Set.Subsingleton.differentiableOn, HasFTaylorSeriesUpToOn.differentiableOn, ModularFormClass.differentiableOn_cuspFunction_ball, differentiableOn_abs, differentiableOn_natCast, AnalyticOn.differentiableOn, contDiffOn_infty_iff_deriv_of_isOpen, DiffContOnCl.differentiableOn, differentiableOn_finCons, ContDiffOn.differentiableOn_iteratedFDerivWithin, contDiffOn_infty_iff_derivWithin, contDiffOn_iff_continuousOn_differentiableOn_deriv, differentiableOn_id, LinearIsometryEquiv.differentiableOn, UpperHalfPlane.mdifferentiable_iff, differentiableOn_snd, mdifferentiableOn_iff_of_mem_maximalAtlas, differentiableOn_const_add_iff, mdifferentiableOn_iff_of_subset_source', differentiableOn_inv, AnalyticOnNhd.differentiableOn, differentiableOn_zpow, differentiableOn_fst, intervalIntegral.differentiableOn_integral_of_continuous, PeriodPair.differentiableOn_derivWeierstrassPExcept
DifferentiableWithinAt 📖MathDef
122 mathmath: Polynomial.differentiableWithinAt, differentiableWithinAt_finCons', DifferentiableWithinAt.singleton, ConvexOn.differentiableWithinAt_Iio_of_mem_interior, RightDerivMeasurableAux.D_subset_differentiable_set, ContinuousAffineMap.differentiableWithinAt, MDifferentiableWithinAt.differentiableWithinAt_mpullbackWithin_vectorField, not_differentiableWithinAt_of_deriv_tendsto_atTop_Ioi, mdifferentiableWithinAt_iff_of_mem_maximalAtlas, differentiableWithinAt_neg_iff, differentiableWithinAt_abs_pos, ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff, mdifferentiableWithinAt_iff_target_inter, differentiableWithinAt_fun_neg_iff, differentiableWithinAt_natCast, differentiableWithinAt_inv, IsBoundedLinearMap.differentiableWithinAt, differentiableWithinAt_abs, LocallyBoundedVariationOn.ae_differentiableWithinAt, differentiableWithinAt_sub_const_iff, Real.differentiableWithinAt_arccos_Ici, differentiableWithinAt_one, DifferentiableWithinAt.of_subsingleton, ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin, mdifferentiableAt_iff, not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi, InformationTheory.not_differentiableWithinAt_klFun_Iio_zero, MDifferentiableWithinAt.differentiableWithinAt_writtenInExtChartAt, differentiableWithinAt_of_isInvertible_fderivWithin, AffineMap.differentiableWithinAt, HasGradientWithinAt.differentiableWithinAt, differentiableWithinAt_pow, RightDerivMeasurableAux.differentiable_set_subset_D, DifferentiableAt.differentiableWithinAt, MDifferentiableAt.differentiableWithinAt_writtenInExtChartAt, differentiableWithinAt_of_derivWithin_ne_zero, Filter.EventuallyEq.differentiableWithinAt_iff_of_mem, AnalyticWithinAt.differentiableWithinAt, mdifferentiableWithinAt_iff_image, differentiableWithinAt_comp_sub, mdifferentiableWithinAt_iff_differentiableWithinAt, DifferentiableWithinAt.of_finite, ConvexOn.differentiableWithinAt_Ioi_of_mem_interior, differentiableWithinAt_star_iff, measurableSet_of_differentiableWithinAt_Ici_of_isComplete, HasDerivWithinAt.differentiableWithinAt, Real.differentiableWithinAt_arcsin_Ici, differentiableWithinAt_euclidean, differentiableWithinAt_inter, ContinuousLinearMap.differentiableWithinAt, LinearIsometryEquiv.comp_differentiableWithinAt_iff, differentiableWithinAtProp_self_source, not_differentiableWithinAt_of_deriv_tendsto_atTop_Iio, HasFPowerSeriesWithinAt.differentiableWithinAt, differentiableWithinAt_abs_neg, differentiableWithinAt_dslope_of_ne, differentiableWithinAt_comp_add_right, differentiableWithinAt_const, mdifferentiableWithinAt_iff', Real.differentiableWithinAt_arcsin_Iic, differentiableWithinAt_pi, differentiableWithinAt_inter', differentiableWithinAt_congr_set', differentiableWithinAt_congr_set, MDifferentiableWithinAt.differentiableWithinAt, differentiableWithinAt_id, DifferentiableWithinAtProp_self, mdifferentiableWithinAt_iff_target_inter', LipschitzOnWith.ae_differentiableWithinAt_real, differentiableWithinAt_insert_self, ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin, Real.differentiableWithinAt_arccos_Iic, mdifferentiableWithinAt_iff_of_mem_source', mdifferentiableWithinAt_iff, HasFDerivWithinAt.differentiableWithinAt, RightDerivMeasurableAux.differentiable_set_eq_D, measurableSet_of_differentiableWithinAt_Ioi, differentiableWithinAt_inverse, AnalyticAt.differentiableWithinAt, InformationTheory.not_differentiableWithinAt_klFun_Ioi_zero, differentiableWithinAt_id', mdifferentiableAt_iff_of_mem_source, differentiableWithinAt_ofNat, hasDerivWithinAt_derivWithin_iff, differentiableWithinAt_apply, differentiableWithinAt_insert, differentiableWithinAt_snd, differentiableWithinAt_smul_iff, differentiableWithinAt_add_const_iff, not_differentiableWithinAt_of_deriv_tendsto_atBot_Iio, not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero, Polynomial.differentiableWithinAt_aeval, differentiableWithinAt_const_sub_iff, differentiableWithinAt_univ, differentiableWithinAt_comp_add_left, differentiableWithinAt_zpow, mdifferentiableWithinAt_iff_of_mem_source, differentiableWithinAt_piLp, ContinuousLinearEquiv.differentiableWithinAt, differentiableWithinAt_congr_set_nhdsNE, fderivWithin_def, differentiableWithinAt_complex_iff_differentiableWithinAt_real, ContDiffWithinAt.differentiableWithinAt', DifferentiableWithinAt.empty, ContDiffWithinAt.differentiableWithinAt, LipschitzOnWith.ae_differentiableWithinAt, measurableSet_of_differentiableWithinAt_Ici, differentiableWithinAt_intCast, ContinuousLinearEquiv.comp_differentiableWithinAt_iff, differentiableWithinAt_const_add_iff, fderivWithin_mem_iff, LinearIsometryEquiv.differentiableWithinAt, differentiableWithinAt_fst, MonotoneOn.ae_differentiableWithinAt, derivWithin_mem_iff, differentiableWithinAt_zero, differentiableWithinAtProp_self_target, differentiableWithinAt_Ioi_iff_Ici, differentiableWithinAt_finCons, IsBoundedBilinearMap.differentiableWithinAt, differentiableWithinAt_congr_nhds, Filter.EventuallyEq.differentiableWithinAt_iff
HasFDerivAt 📖MathDef
136 mathmath: hasFDerivAt_iff_hasDerivAt, hasFDerivAt_comp_add_right, Real.hasFDerivAt_fourierChar_neg_bilinear_left, hasFDerivAt_iff_hasGradientAt, IsBoundedBilinearMap.hasFDerivAt, hasFDerivAt_one, hasFDerivAt_multiset_prod, intervalIntegral.integral_hasFDerivAt_of_tendsto_ae, hasFDerivAt_stereoInvFunAux, HasFTaylorSeriesUpTo.hasFDerivAt, DifferentiableOn.hasFDerivAt, ContinuousLinearEquiv.comp_hasFDerivAt_iff, ContinuousLinearMap.hasFDerivAt, HasFDerivAt.of_notMem_tsupport, LipschitzWith.hasFDerivAt_of_hasLineDerivAt_of_closure, IsContDiffImplicitAt.hasFDerivAt, hasFDerivAt_snd, intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip, hasFDerivAt_add_const_iff, HasFDerivAt.curveIntegral_segment_source, hasFDerivAt_sub_const_iff, Convex.exists_forall_hasFDerivAt_of_fderiv_symmetric, VectorFourier.hasFDerivAt_fourierIntegral, hasFDerivAt_ringInverse, contDiffAt_one_iff, hasFDerivAt_finCons, HasFTaylorSeriesUpToOn.eventually_hasFDerivAt, hasFDerivAt_of_subsingleton, hasFDerivAt_jacobiTheta₂_term, HasDerivAt.hasFDerivAt, hasFDerivAt_norm_rpow, Real.hasFDerivAt_fourier, PiLp.hasFDerivAt_toLp, hasFDerivAt_id, hasFDerivAt_apply, MeasureTheory.hasFDerivAt_convolution_right_with_param, hasFDerivAt_prodMk_left, HasCompactSupport.hasFDerivAt_convolution_right, hasFDerivAt_list_prod', HasDerivAt.complexToReal_fderiv', HasDerivAt.complexToReal_fderiv, hasFDerivAt_exp_smul_const', hasFDerivAt_finCons', Complex.hasFDerivAt_cpow, hasFTaylorSeriesUpTo_top_iff', hasFDerivAt_iff_tendsto, Polynomial.hasFDerivAt, hasFDerivAt_ofNat, hasFDerivAt_list_prod_finRange', HasGradientAt.hasFDerivAt, hasFDerivAt_of_tendsto_locally_uniformly_on', hasFTaylorSeriesUpTo_succ_nat_iff_right, hasFDerivWithinAt_of_mem_nhds, hasFDerivAt_const_add_iff, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap, SchwartzMap.hasFDerivAt, HasFDerivWithinAt.hasFDerivAt_of_univ, Polynomial.hasFDerivAt_aeval, hasFDerivAt_pow, hasFDerivAt_single, HasFTaylorSeriesUpToOn.hasFDerivAt, HasStrictFDerivAt.hasFDerivAt, hasDerivAt_iff_hasFDerivAt, hasFDerivAt_zero_of_eventually_const, contDiffAt_succ_iff_hasFDerivAt, hasFDerivAt_const, hasFDerivAt_polarCoord_symm, Filter.EventuallyEq.hasFDerivAt_iff, hasFDerivAt_exp_zero, HasMFDerivAt.hasFDerivAt, NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis, hasGradientAt_iff_hasFDerivAt, hasFDerivAt_exp_smul_const_of_mem_ball, LinearIsometryEquiv.hasFDerivAt, HasFPowerSeriesAt.hasFDerivAt, hasFDerivAt_exp_smul_const, hasFDerivAt_jacobiTheta₂, HasDerivAt.hasFDerivAt_equiv, hasFDerivAt_update, DifferentiableAt.hasFDerivAt, ContinuousAffineMap.hasFDerivAt, hasFDerivAt_comp_sub, intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le, ContinuousLinearEquiv.comp_hasFDerivAt_iff', ContinuousMultilinearMap.hasFDerivAt, Real.hasFDerivAt_fourierIntegral, hasFDerivAt_pow', HasFPowerSeriesOnBall.hasFDerivAt, hasFDerivAt_sub_const, ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinear, hasFDerivAt_natCast, hasFDerivAt_intCast, contDiff_one_iff_hasFDerivAt, EuclideanGeometry.hasFDerivAt_inversion, PiLp.hasFDerivAt_ofLp, HasFDerivAt.curveIntegral_segment_source', NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm, hasFDerivAt_pi_polarCoord_symm, HasFDerivWithinAt.hasFDerivAt, hasFDerivAt_integral_of_dominated_of_fderiv_le, hasFDerivAt_comp_add_left, LinearIsometryEquiv.comp_hasFDerivAt_iff', hasMFDerivAt_iff_hasFDerivAt, LinearIsometryEquiv.comp_hasFDerivAt_iff, PiLp.hasFDerivAt_apply, ContinuousLinearEquiv.hasFDerivAt, hasFDerivAt_integral_of_dominated_of_fderiv_le'', hasFDerivAt_zero, HasFiniteFPowerSeriesOnBall.hasFDerivAt, Real.hasFDerivAt_fourierChar_neg_bilinear_right, hasFDerivAt_exp_smul_const_of_mem_ball', IsBoundedLinearMap.hasFDerivAt, hasFDerivAt_exp_zero_of_radius_pos, hasFDerivWithinAt_of_isOpen, HasFTaylorSeriesUpTo.fderiv, intervalIntegral.integral_hasFDerivAt, ContinuousAlternatingMap.hasFDerivAt, ContinuousLinearEquiv.comp_right_hasFDerivAt_iff', hasFDerivAt_inv', VectorFourier.hasFDerivAt_fourierChar_smul, hasFDerivAt_exp, hasFDerivAt_inv, hasFDerivAt_fst, hasFDerivAt_pi', hasFDerivWithinAt_univ, hasFDerivAt_list_prod_attach', hasFDerivAt_iff_isLittleO_nhds_zero, hasFDerivAt_exp_of_mem_ball, hasFDerivAt_stereoInvFunAux_comp_coe, contDiff_succ_iff_hasFDerivAt, HasCompactSupport.hasFDerivAt_convolution_left, hasFDerivAt_pi, Asymptotics.IsBigO.hasFDerivAt, hasFDerivAt_prodMk_right, hasFDerivAt_finset_prod
HasFDerivAtFilter 📖CompData
26 mathmath: hasFDerivAtFilter_pi, hasFDerivAtFilter_sub_const_iff, hasFDerivAtFilter_ofNat, hasFDerivAtFilter_zero, HasFDerivAt.hasFDerivAtFilter, hasFDerivAtFilter_const, hasFDerivAtFilter_iff_isLittleO, ContinuousLinearMap.hasFDerivAtFilter, hasFDerivAtFilter_iff_hasDerivAtFilter, hasFDerivAtFilter_snd, hasFDerivAtFilter_fst, IsBoundedLinearMap.hasFDerivAtFilter, hasFDerivAtFilter_iff_isLittleOTVS, ContinuousAffineMap.hasFDerivAtFilter, hasFDerivAtFilter_finCons, Filter.EventuallyEq.hasFDerivAtFilter_iff, hasFDerivAtFilter_id, hasFDerivAtFilter_iff_tendsto, HasFDerivAtFilter.of_isLittleO, hasFDerivAtFilter_finCons', hasFDerivAtFilter_natCast, hasFDerivAtFilter_const_add_iff, hasFDerivAtFilter_add_const_iff, hasFDerivAtFilter_pi', hasFDerivAtFilter_intCast, hasFDerivAtFilter_one
HasFDerivWithinAt 📖MathDef
101 mathmath: Filter.EventuallyEq.hasFDerivWithinAt_iff, hasFDerivWithinAt_const, hasFTaylorSeriesUpToOn_top_iff_right, HasFDerivWithinAt.of_subsingleton, HasDerivWithinAt.complexToReal_fderiv', HasFDerivWithinAt.of_finite, HasFDerivWithinAt.empty, hasFDerivWithinAt_comp_smul_iff_smul, hasFDerivWithinAt_sub_const_iff, hasFDerivWithinAt_inv, HasDerivWithinAt.hasFDerivWithinAt, hasFDerivWithinAt_pi', HasFDerivAt.hasFDerivWithinAt, hasFDerivWithinAt_intCast, hasFDerivWithinAt_inter', ContDiffWithinAt.hasFDerivWithinAt_nhds, HasFDerivWithinAt.of_notMem_tsupport, hasFDerivWithinAt_finCons, hasGradientWithinAt_iff_hasFDerivWithinAt, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff', HasFTaylorSeriesUpToOn.hasFDerivWithinAt, hasDerivWithinAt_iff_hasFDerivWithinAt, hasFDerivWithinAt_finCons', hasFTaylorSeriesUpToOn_top_iff', HasDerivWithinAt.complexToReal_fderiv, HasFDerivWithinAt.singleton, hasFDerivWithinAt_const_add_iff, hasFDerivWithinAt_iff_hasDerivWithinAt, hasFTaylorSeriesUpToOn_succ_iff_right, hasFDerivWithinAt_pow', HasMFDerivWithinAt.hasFDerivWithinAt, hasFDerivWithinAt_one, hasFDerivWithinAt_of_mem_nhds, hasFDerivWithinAt_zero, hasFDerivWithinAt_piLp, hasFDerivWithinAt_singleton, IsBoundedBilinearMap.hasFDerivWithinAt, hasFTaylorSeriesUpToOn_succ_nat_iff_right, hasFDerivWithinAt_comp_smul_smul_iff, contDiffWithinAt_succ_iff_hasFDerivWithinAt', contDiffOn_succ_iff_hasFDerivWithinAt, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff', hasFDerivWithinAt_tangentCoordChange, HasFDerivWithinAt.of_notMem_closure, HasFTaylorSeriesUpToOn.fderivWithin, ContinuousLinearEquiv.hasFDerivWithinAt, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff, hasFDerivWithinAt_closure_of_tendsto_fderiv, ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff, ContinuousLinearMap.hasFDerivWithinAt, Asymptotics.IsBigO.hasFDerivWithinAt, ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff', hasFDerivWithinAt_euclidean, Convex.exists_forall_hasFDerivWithinAt_of_fderivWithin_symmetric, hasFDerivWithinAt_natCast, Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem, HasFDerivWithinAt.curveIntegral_segment_source, hasFDerivWithinAt_insert_self, hasFDerivWithinAt_diff_singleton, hasFDerivWithinAt_comp_add_right, intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae, hasFDerivWithinAt_fst, intervalIntegral.integral_hasFDerivWithinAt, hasFTaylorSeriesUpToOn_succ_iff_left, hasFDerivWithinAt_ofNat, hasFDerivWithinAt_congr_set', hasFDerivWithinAt_iff_hasGradientWithinAt, hasFDerivWithinAt_congr_set_nhdsNE, hasFDerivWithinAt_pi, ContinuousAlternatingMap.hasFDerivWithinAt, Polynomial.hasFDerivWithinAt_aeval, contDiffOn_succ_iff_hasFDerivWithinAt_of_uniqueDiffOn, LinearIsometryEquiv.hasFDerivWithinAt, ContinuousAffineMap.hasFDerivWithinAt, hasFDerivWithinAt_add_const_iff, HasFDerivWithinAt.of_not_accPt, hasFDerivWithinAt_comp_sub, hasFDerivWithinAt_congr_set, hasFDerivWithinAt_diff_singleton_self, LinearIsometryEquiv.comp_hasFDerivWithinAt_iff, IsBoundedLinearMap.hasFDerivWithinAt, HasFDerivWithinAt.curveIntegral_segment_source', hasFDerivWithinAt_inter, hasFDerivWithinAt_of_isOpen, hasFDerivWithinAt_insert, fderivWithin_def, hasFDerivWithinAt_pow, Polynomial.hasFDerivWithinAt, hasFDerivWithinAt_of_subsingleton, hasFDerivWithinAt_iff_tendsto, HasFPowerSeriesWithinAt.hasFDerivWithinAt, HasGradientWithinAt.hasFDerivWithinAt, hasFDerivWithinAt_univ, HasFPowerSeriesWithinOnBall.hasFDerivWithinAt, hasMFDerivWithinAt_iff_hasFDerivWithinAt, DifferentiableWithinAt.hasFDerivWithinAt, hasFDerivWithinAt_comp_add_left, hasFDerivWithinAt_snd, contDiffWithinAt_succ_iff_hasFDerivWithinAt, hasFDerivWithinAt_apply, hasFDerivWithinAt_id
HasStrictFDerivAt 📖CompData
89 mathmath: hasStrictFDerivAt_const_add_iff, hasStrictFDerivAt_apply, LinearIsometryEquiv.hasStrictFDerivAt, hasStrictFDerivAt_exp_of_mem_ball, hasStrictFDerivAt_list_prod_finRange', ContinuousAlternatingMap.hasStrictFDerivAt_toContinuousMultilinearMap_comp_iff, hasStrictFDerivAt_of_hasFDerivAt_of_continuousAt, ContDiff.hasStrictFDerivAt, ImplicitFunctionData.hasStrictFDerivAt_leftFun, ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMap, ImplicitFunctionData.implicitFunction_hasStrictFDerivAt, hasStrictFDerivAt_snd, hasStrictFDerivAt_iff_isLittleOTVS, Complex.hasStrictFDerivAt_exp_real, hasStrictFDerivAt_exp_smul_const_of_mem_ball', Real.hasStrictFDerivAt_rpow_of_pos, hasStrictFDerivAt_pi', hasStrictFDerivAt_natCast, Complex.hasStrictFDerivAt_cpow', hasStrictFDerivAt_multiset_prod, LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf, hasStrictFDerivAt_exp, hasStrictFDerivAt_iff_isLittleO, HasStrictFDerivAt.of_notMem_tsupport, hasStrictFDerivAt_exp_smul_const', Complex.hasStrictFDerivAt_cpow, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderiv, ContDiffAt.hasStrictFDerivAt', hasStrictFDerivAt_finCons, ContinuousAlternatingMap.hasStrictFDerivAt, ContinuousAffineMap.hasStrictFDerivAt, hasStrictFDerivAt_iff_hasStrictDerivAt, intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae, hasStrictFDerivAt_piLp, intervalIntegral.integral_hasStrictFDerivAt, ContinuousMultilinearMap.hasStrictFDerivAt, Filter.EventuallyEq.hasStrictFDerivAt_iff, HasStrictDerivAt.hasStrictFDerivAt, hasStrictFDerivAt_zero, ContDiffAt.hasStrictFDerivAt, hasStrictFDerivAt_norm_sq, ImplicitFunctionData.hasStrictFDerivAt, hasStrictFDerivAt_inv, HasStrictDerivAt.complexToReal_fderiv', hasStrictFDerivAt_pow', hasStrictFDerivAt_finCons', ContinuousLinearMap.hasStrictFDerivAt, hasStrictFDerivAt_list_prod_attach', hasStrictFDerivAt_ringInverse, PiLp.hasStrictFDerivAt_apply, hasStrictFDerivAt_fst, hasStrictFDerivAt_finset_prod, IsBoundedBilinearMap.hasStrictFDerivAt, hasStrictFDerivAt_exp_zero_of_radius_pos, HasFTaylorSeriesUpToOn.hasStrictFDerivAt, ContinuousLinearEquiv.hasStrictFDerivAt, hasStrictFDerivAt_exp_zero, ContinuousMultilinearMap.hasStrictFDerivAt_compContinuousLinearMap, hasStrictFDerivAt_one, hasStrictFDerivAt_sub_const_iff, hasStrictFDerivAt_ofNat, HasStrictFDerivAt.of_isLittleO, hasStrictFDerivAt_list_prod, HasFiniteFPowerSeriesOnBall.hasStrictFDerivAt, hasStrictFDerivAt_add_const_iff, hasStrictFDerivAt_inv', hasStrictFDerivAt_exp_smul_const, Complex.hasStrictFDerivAt_log_real, hasStrictFDerivAt_const, hasStrictFDerivAt_list_prod', hasStrictFDerivAt_pow, PiLp.hasStrictFDerivAt_ofLp, Real.hasStrictFDerivAt_rpow_of_neg, hasStrictDerivAt_iff_hasStrictFDerivAt, HasStrictDerivAt.complexToReal_fderiv, HasFPowerSeriesAt.hasStrictFDerivAt, HasStrictDerivAt.hasStrictFDerivAt_equiv, hasStrictFDerivAt_intCast, ImplicitFunctionData.hasStrictFDerivAt_rightFun, AnalyticAt.hasStrictFDerivAt, ContinuousMultilinearMap.hasStrictFDerivAt_uncurry, hasStrictFDerivAt_pi, hasStrictFDerivAt_id, hasStrictFDerivAt_sub_const, LinearIsometryEquiv.comp_hasStrictFDerivAt_iff, ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff, hasStrictFDerivAt_exp_smul_const_of_mem_ball, PiLp.hasStrictFDerivAt_toLp, hasStrictFDerivAt_euclidean
fderiv 📖CompOp
263 mathmath: Polynomial.fderiv, fderiv_iteratedFDeriv, DifferentiableAt.fderivWithin, fderiv_snd, LinearIsometryEquiv.comp_fderiv, extDeriv_constOfIsEmpty, Real.fderiv_fourierIntegral, ContDiff.fderiv_succ, fderiv_intCast, ContinuousAffineMap.fderiv, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv, ImplicitFunctionData.isInvertible_fderiv_prodFun, ContDiff.hasStrictFDerivAt, VectorField.fderiv_apply_lieBracket, fderiv_id, Real.fderiv_fourierChar_neg_bilinear_right_apply, intervalIntegral.fderiv_integral_of_tendsto_ae, ContDiffAt.fderiv_right_succ, fderiv_multiset_prod, VectorField.fderiv_apply_lieBracket_of_isSymmSndFDerivAt, fderiv_clm_comp, fderiv_continuousAlternatingMap_apply_const, DifferentiableOn.hasFDerivAt, Differentiable.fderiv_norm_rpow, fderiv_comp_deriv, fderiv_fun_pow, FDerivMeasurableAux.differentiable_set_subset_D, fderiv_fun_smul, contDiff_one_iff_fderiv, SchwartzMap.fderivCLM_apply, IsLocalMax.fderiv_eq_zero, fderiv_const_smul_field, DifferentiableAt.fderiv_prodMk, ContDiffAt.continuousAt_fderiv, fderiv_fun_pow', ContDiffAt.fderiv_succ, fderiv_add_const, fderiv_sum, HarmonicAt.analyticAt_complex_partial, fderiv_ofNat, enorm_fderiv_norm_rpow_le, fderiv_eq_deriv_mul, fderiv_continuousAlternatingMapCompContinuousLinearMap, Real.fderiv_fourier, ContinuousLinearMap.fderiv, fderiv_neg, fderiv_fun_sub, HasCompactSupport.fderiv, contDiff_succ_iff_fderiv, LinearIsometryEquiv.fderiv, Filter.EventuallyEq.fderiv_eq, fderiv.log, fderiv_continuousAlternatingMap_apply, deriv_fderiv, fderiv_smul, fderivWithin_eq_fderiv, DifferentiableAt.fderiv_norm_self, ContDiff.continuous_fderiv_apply, IsLocalExtr.fderiv_eq_zero, HasFPowerSeriesOnBall.fderiv_eq, ContinuousLinearMap.fderiv_of_bilinear, fderiv_mul_const', extDeriv_apply_vectorField, ContinuousLinearEquiv.comp_fderiv, ContDiffAt.fderiv_right, FDerivMeasurableAux.D_subset_differentiable_set, FDerivMeasurableAux.differentiable_set_eq_D, ContDiffOn.fderiv_of_isOpen, ContinuousLinearEquiv.comp_right_fderiv, AnalyticOnNhd.fderiv_of_isOpen, fderivWithin_of_isOpen, fderiv_inverse, HasFPowerSeriesOnBall.fderiv, ImplicitFunctionData.leftDeriv_fderiv_implicitFunction, measurableSet_of_differentiableAt_of_isComplete, fderiv_pow, fderiv_one, ContDiff.continuous_fderiv, HarmonicAt.differentiableAt_complex_partial, MeasureTheory.hasFDerivAt_convolution_right_with_param, fderiv_pow', fderiv_mul, fderivWithin_univ, HasCompactSupport.hasFDerivAt_convolution_right, Continuous.fderiv, norm_fderiv_le_of_lipschitz, ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderiv, Differentiable.fderiv_two, fderiv_fun_add, fderiv_pow_ring, DifferentiableAt.fderiv_restrictScalars, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_inner, contDiffOn_succ_iff_fderiv_of_isOpen, Polynomial.fderiv_aeval, fderivWithin_fderivWithin_eq_of_mem_nhds, fderiv_const_add, fderiv_mul', VectorField.lieBracket_fmul_left, fderiv_comp_fderivWithin, fderiv_mem_iff, VectorField.lieBracket_eq, fderiv_norm_smul_neg, fderiv_fun_sum, fderiv_const_smul_of_invertible, fderivWithin_of_mem_nhds, differentiableAt_complex_iff_differentiableAt_real, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_one, norm_fderiv_norm_rpow_le, VectorFourier.fderiv_fourierIntegral, fderiv_cos, fderiv.snd, iteratedDeriv_vcomp_three, HasFPowerSeriesAt.fderiv_eq, ContDiffAt.hasStrictFDerivAt, fderiv_eq, conformalAt_iff_isConformalMap_fderiv, fderiv_const_mul, fderiv_sub_const, fderiv_exp, fderiv_arctan, contDiffOn_infty_iff_fderiv_of_isOpen, SchwartzMap.hasFDerivAt, fderiv_pow_ring', fderiv_natCast, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_le, fderiv_const, norm_fderiv_iteratedFDeriv, conformalFactorAt_inner_eq_mul_inner', fderiv_sub, measurable_fderiv_apply_const, fderiv_inv, contDiff_succ_iff_fderiv_apply, fderiv_ccos, fderiv_update, ContDiff.fderiv_apply, Filter.EventuallyEq.fderiv, fderiv_apply_one_eq_deriv, fderiv_continuousMultilinear_apply_const_apply, fderiv_add, IsBoundedBilinearMap.fderiv, iteratedFDeriv_one_apply, fderiv_fun_mul', iteratedFDeriv_succ_apply_right, fderiv_deriv, ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iff, norm_fderiv_norm, fderiv_comp, fderiv_finset_prod, fderiv_continuousAlternatingMap_apply_apply, fderiv_comp_add_right, ContDiffOn.continuousOn_fderiv_of_isOpen, fderiv_def, fderiv_zero_of_not_differentiableAt, DifferentiableAt.hasFDerivAt, fderiv_smul_const, fderiv_fun_neg, fderiv_const_sub, tsupport_fderiv_subset, fderiv_id', FDerivMeasurableAux.mem_A_of_differentiable, ContinuousLinearEquiv.fderiv, AnalyticOnNhd.fderiv, iteratedFDeriv_succ_eq_comp_right, VectorField.lieBracket_smul_left, fderiv_continuousLinearEquiv_comp, nnnorm_fderiv_norm_rpow_le, fderiv_norm_smul, HasFDerivAt.fderiv, fderiv_continuousMultilinearMapCompContinuousLinearMap, fderiv_sinh, HasCompactSupport.fderiv_apply, fderiv_continuousMultilinear_apply_const, fderiv_zero, fderiv_comp', norm_iteratedFDeriv_one, norm_deriv_eq_norm_fderiv, MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux, ContDiffAt.fderiv, fderiv_fun_const_smul, tsupport_fderiv_apply_subset, fderiv.fst, MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq, toSpanSingleton_deriv, fderiv_ccosh, ContDiffPointwiseHolderAt.fderiv, fderiv_fun_mul, extDeriv_apply_vectorField_of_pairwise_commute, norm_fderiv_le_of_lipschitzOn, CPolynomialOn.fderiv, measurable_fderiv_with_param, SchwartzMap.lineDerivOp_apply_eq_fderiv, measurableSet_of_differentiableAt_of_isComplete_with_param, fderiv_sqrt, fderiv_clm_apply, fderiv_star, Complex.norm_fderiv_le_one_of_mapsTo_ball, ContDiff.contDiff_fderiv_apply, differentiableAt_iff_restrictScalars, extDeriv_pullback, HasFiniteFPowerSeriesOnBall.fderiv', measurable_fderiv, iteratedFDeriv_two_apply, fderiv_fst, fderiv_norm_smul_pos, fderiv_mul_const, fderiv_csinh, iteratedFDeriv_succ_eq_comp_left, fderiv_of_notMem_tsupport, mfderiv_eq_fderiv, fderiv_comp_add_left, IsLocalMin.fderiv_eq_zero, fderiv_comp_sub, iteratedDeriv_vcomp_two, fderiv_norm_rpow, AnalyticAt.fderiv, fderiv_comp_smul, ContDiff.fderiv_right, fderiv_csin, norm_fderiv_le_of_lip', fderiv_cosh, support_fderiv_subset, contDiff_infty_iff_fderiv, HasGradientAt.fderiv_apply, VectorField.lieBracket_smul_right, HasFiniteFPowerSeriesOnBall.fderiv_eq, intervalIntegral.fderiv_integral, fderiv_fun_const, inner_gradient_left, MeasureTheory.eLpNorm_le_eLpNorm_fderiv, IsBoundedLinearMap.fderiv, fderiv_pi, Complex.norm_fderiv_le_div_of_mapsTo_ball, fderiv_const_smul_of_field, fderiv_comp_deriv_of_eq, ContDiff.fderiv, fderiv_list_prod', ImplicitFunctionData.rightDeriv_fderiv_implicitFunction, fderiv_continuousAlternatingMap_apply_const_apply, norm_fderiv_norm_id_rpow, fderiv_const_smul, measurable_fderiv_apply_const_with_param, fderiv_continuousLinearEquiv_comp', Real.fderiv_fourierChar_neg_bilinear_left_apply, AnalyticAt.hasStrictFDerivAt, inner_gradient_right, fderiv_single, DifferentiableAt.lineDeriv_eq_fderiv, LinearIsometryEquiv.comp_fderiv', fderiv_norm_sq_apply, fderiv_sin, norm_iteratedFDeriv_fderiv, fderiv_norm_sq, conformalAt_iff', extDeriv_apply, HasCompactSupport.hasFDerivAt_convolution_left, fderiv_inner_apply, fderiv_const_apply, HasFiniteFPowerSeriesOnBall.fderiv, fderiv_eq_smul_deriv, iteratedFDeriv_succ_apply_left, IsSymmSndFDerivAt.eq, fderiv_inv', Continuous.fderiv_one
fderivWithin 📖CompOp
208 mathmath: IsLocalMaxOn.fderivWithin_nonpos, DifferentiableAt.fderivWithin, fderivWithin_ofNat, fderivWithin_comp_derivWithin_of_eq, Filter.EventuallyEq.fderivWithin, fderivWithin_one, fderivWithin_comp_add_left, fderivWithin_fun_smul, fderivWithin_fderivWithin_eq_of_mem_nhdsWithin, norm_iteratedFDerivWithin_one, fderivWithin_csinh, LinearIsometryEquiv.comp_fderivWithin, fderivWithin_fun_pow', iteratedFDerivWithin_succ_eq_comp_right, iteratedDerivWithin_vcomp_two, LinearIsometryEquiv.fderivWithin, fderivWithin_zero_of_not_accPt, dist_iteratedFDerivWithin_one, derivWithin_fderivWithin, extDerivWithin_pullback, fderivWithin_fderivWithin, lintegral_fderiv_lineMap_eq_edist, Filter.EventuallyEq.fderivWithin_eq_of_insert, tangentCoordChange_def, inner_gradientWithin_right, iteratedFDerivWithin_succ_eq_comp_left, Filter.EventuallyEq.fderivWithin_eq, fderivWithin_sinh, fderivWithin_intCast, DifferentiableWithinAt.fderivWithin_congr_mono, DifferentiableWithinAt.fderivWithin_prodMk, fderivWithin_zero, fderivWithin_const_sub, HasFPowerSeriesWithinOnBall.fderivWithin, fderivWithin_ccosh, fderivWithin_const_mul, fderivWithin_pi, fderivWithin_star, fderivWithin_fun_neg, extDerivWithin_constOfIsEmpty, fderivWithin_sin, fderivWithin_congr', fderivWithin_finset_prod, fderivWithin_eq_fderiv, fderivWithin_eventually_congr_set', fderivWithin_id, fderivWithin_continuousAlternatingMap_apply_const_apply, iteratedFDerivWithin_succ_apply_right, AnalyticOn.fderivWithin, IsBoundedBilinearMap.fderivWithin, HasFPowerSeriesWithinAt.fderivWithin_eq, contDiffOn_infty_iff_fderivWithin, fderivWithin_of_isOpen, fderivWithin_of_mem_nhdsWithin, fderivWithin_continuousMultilinear_apply_const_apply, fderivWithin_comp_derivWithin, fderivWithin_continuousAlternatingMapCompContinuousLinearMap, fderivWithin_inv', ContinuousLinearMap.fderivWithin_of_bilinear, TangentBundle.trivializationAt_apply, fderivWithin_univ, fderivWithin_sub_const, fderivWithin.snd, fderivWithin_cos, fderivWithin_const_add, fderivWithin_continuousMultilinear_apply_const, fderivWithin_ccos, VectorField.lieBracketWithin_smul_left, extDerivWithin_apply_vectorField_of_pairwise_commute, ContDiffWithinAt.fderivWithin'', fderivWithin_fun_sub, fderivWithin_fun_mul', fderivWithin_fderivWithin_eq_of_mem_nhds, fderivWithin_const_smul_of_field, fderiv_comp_fderivWithin, ContDiffWithinAt.continuousWithinAt_fderivWithin, fderivWithin_fderivWithin_eq_of_eventuallyEq, iteratedFDerivWithin_one_apply, fderivWithin_iteratedFDerivWithin, fderivWithin_of_mem_nhds, fderivWithin_congr_set', fderivWithin_id', fderivWithin_mul_const', fderivWithin_smul, fderivWithin_comp_smul_eq_fderivWithin_smul, fderivWithin_zero_of_notMem_closure, VectorField.fderivWithin_apply_lieBracket_of_isSymmSndFDerivWithinAt, fderivWithin_fun_pow, iteratedFDerivWithin_two_apply', Filter.EventuallyEq.fderivWithin_eq_of_mem, fderivWithin_add_const, MDifferentiableAt.mfderiv, fderivWithin_congr, fderivWithin_const, iteratedFDerivWithin_succ_apply_left, ContinuousLinearEquiv.comp_right_fderivWithin, fderivWithin_comp_of_eq, MDifferentiableWithinAt.mfderivWithin, fderivWithin_snd, Filter.EventuallyEq.fderivWithin_eq_of_nhds, fderivWithin.log, fderivWithin_continuousMultilinearMapCompContinuousLinearMap, ContDiffOn.continuousOn_fderivWithin_apply, differentiableWithinAt_iff_restrictScalars, tangentBundleCore_coordChange, fderivWithin_comp', norm_fderivWithin_iteratedFDerivWithin, contDiffOn_fderiv_coord_change, HasGradientWithinAt.fderivWithin_apply, norm_derivWithin_eq_norm_fderivWithin, extDerivWithin_apply_vectorField, ContDiffWithinAt.fderivWithin', ContDiffOn.continuousOn_fderivWithin, fderivWithin_const_smul_of_invertible, fderivWithin_exp, DifferentiableWithinAt.restrictScalars_fderivWithin, fderivWithin_multiset_prod, fderivWithin_neg, fderivWithin_comp₃, HasFDerivWithinAt.fderivWithin, fderivWithin_eventually_congr_set, fderivWithin_fun_const, fderivWithin_comp_of_eq', mfderivWithin_eq_fderivWithin, fderiv_def, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem, fderivWithin_congr_set_nhdsNE, fderivWithin_continuousAlternatingMap_apply_apply, ContDiffOn.fderivWithin, toSpanSingleton_derivWithin, fderivWithin_fun_add, HasFPowerSeriesWithinOnBall.fderivWithin_eq, ContinuousAffineMap.fderivWithin, fderivWithin_sqrt, fderivWithin_natCast, fderivWithin_derivWithin, fderivWithin_const_smul_field, Polynomial.fderivWithin_aeval, Polynomial.fderivWithin, ContinuousLinearMap.fderivWithin, Filter.EventuallyEq.fderivWithin', fderivWithin_clm_comp, fderivWithin_inv, fderivWithin_csin, intervalIntegral.fderivWithin_integral_of_tendsto_ae, fderivWithin_continuousAlternatingMap_apply_const, fderivWithin_inter, fderivWithin_const_smul, VectorField.pullbackWithin_eq, ContinuousLinearEquiv.fderivWithin, VectorField.lieBracketWithin_smul_right, inner_gradientWithin_left, contDiffOn_succ_iff_fderivWithin, fderivWithin_sub, ContDiffWithinAt.fderivWithin, iteratedFDerivWithin_two_apply, contDiffOn_succ_iff_fderiv_apply, IsLocalMaxOn.fderivWithin_eq_zero, IsBoundedLinearMap.fderivWithin, fderivWithin_list_prod', fderivWithin_smul_const, fderivWithin_continuousLinearEquiv_comp, fderivWithin_const_apply, fderivWithin_pow_ring', ContDiffWithinAt.fderivWithin_right_apply, fderivWithin_mul_const, fderivWithin.fst, fderivWithin_cosh, fderivWithin_continuousAlternatingMap_apply, fderivWithin_add, IsLocalMinOn.fderivWithin_nonneg, norm_iteratedFDerivWithin_fderivWithin, extDerivWithin_apply, fderivWithin_zero_of_not_differentiableWithinAt, ContinuousLinearEquiv.comp_fderivWithin, VectorField.lieBracketWithin_eq, VectorField.fderivWithin_apply_lieBracket, fderivWithin_pow, fderivWithin_fun_const_smul, fderivWithin_arctan, fderivWithin_def, HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOn, differentiableWithinAt_complex_iff_differentiableWithinAt_real, contDiffOn_fderivWithin_apply, fderivWithin_mul', fderivWithin_comp_add_right, fderivWithin_comp_smul, fderivWithin_clm_apply, fderivWithin_fst, fderivWithin_congr_set, fderivWithin_sum, fderivWithin_pow_ring, fderivWithin_comp, IsSymmSndFDerivWithinAt.eq, fderivWithin_restrictScalars_comp, fderivWithin_fun_sum, fderivWithin_mem_iff, fderivWithin_comp_sub, fderivWithin_fun_mul, DifferentiableWithinAt.hasFDerivWithinAt, fderivWithin_mul, fderivWithin_subset, ContDiffWithinAt.fderivWithin_right, iteratedDerivWithin_vcomp_three, tangentBundleCore_coordChange_achart, ContDiffWithinAt.fderivWithin_apply, IsLocalMinOn.fderivWithin_eq_zero, fderivWithin_pow'

Theorems

NameKindAssumesProvesValidatesDepends On
fderivWithin_def 📖mathematicalfderivWithin
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
HasFDerivWithinAt
ContinuousLinearMap.zero
DifferentiableWithinAt
fderivWithin_univ 📖mathematicalfderivWithin
Set.univ
fderiv
ContinuousLinearMap.ext
fderiv_def
fderivWithin_zero_of_not_differentiableWithinAt 📖mathematicalDifferentiableWithinAtfderivWithin
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.zero
fderivWithin_def
fderiv_def 📖mathematicalfderiv
fderivWithin
Set.univ
hasFDerivAtFilter_iff_isLittleO 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Asymptotics.IsLittleO
SeminormedAddCommGroup.toNorm
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
SeminormedAddGroup.toAddGroup
SeminormedAddCommGroup.toSeminormedAddGroup
DFunLike.coe
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.funLike
hasFDerivAtFilter_iff_isLittleOTVS
Asymptotics.isLittleOTVS_iff_isLittleO
hasFDerivAtFilter_iff_isLittleOTVS 📖mathematicalHasFDerivAtFilter
Asymptotics.IsLittleOTVS
ContinuousENorm.toENorm
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddGroup.toPseudoMetricSpace
SeminormedAddCommGroup.toSeminormedAddGroup
NonUnitalSeminormedRing.toSeminormedAddCommGroup
NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing
SeminormedCommRing.toNonUnitalSeminormedCommRing
NormedCommRing.toSeminormedCommRing
NormedField.toNormedCommRing
NontriviallyNormedField.toNormedField
SeminormedAddGroup.toContinuousENorm
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddCommGroup.toAddGroup
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
Module.toDistribMulAction
AddCommGroup.toAddCommMonoid
SubNegMonoid.toSub
DFunLike.coe
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.funLike
hasStrictFDerivAt_iff_isLittleO 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Asymptotics.IsLittleO
SeminormedAddCommGroup.toNorm
nhds
instTopologicalSpaceProd
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
SeminormedAddGroup.toAddGroup
SeminormedAddCommGroup.toSeminormedAddGroup
DFunLike.coe
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.funLike
hasStrictFDerivAt_iff_isLittleOTVS
Asymptotics.isLittleOTVS_iff_isLittleO
hasStrictFDerivAt_iff_isLittleOTVS 📖mathematicalHasStrictFDerivAt
Asymptotics.IsLittleOTVS
ContinuousENorm.toENorm
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddGroup.toPseudoMetricSpace
SeminormedAddCommGroup.toSeminormedAddGroup
NonUnitalSeminormedRing.toSeminormedAddCommGroup
NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing
SeminormedCommRing.toNonUnitalSeminormedCommRing
NormedCommRing.toSeminormedCommRing
NormedField.toNormedCommRing
NontriviallyNormedField.toNormedField
SeminormedAddGroup.toContinuousENorm
NegZeroClass.toZero
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
SubNegMonoid.toAddMonoid
AddGroup.toSubNegMonoid
AddCommGroup.toAddGroup
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
Module.toDistribMulAction
AddCommGroup.toAddCommMonoid
nhds
instTopologicalSpaceProd
SubNegMonoid.toSub
DFunLike.coe
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.funLike

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