LogDeriv

📁 Source: Mathlib/Analysis/Calculus/LogDeriv.lean

Statistics

Metric	Count
Definitions logDeriv	1
Theorems logDeriv_apply, logDeriv_comp, logDeriv_const, logDeriv_const_mul, logDeriv_div, logDeriv_eqOn_iff, logDeriv_eq_zero_of_not_differentiableAt, logDeriv_fun_pow, logDeriv_fun_zpow, logDeriv_id, logDeriv_id', logDeriv_inv, logDeriv_mul, logDeriv_mul_const, logDeriv_pow, logDeriv_prod, logDeriv_zpow	17
Total	18

(root)

Definitions

Name	Category	Theorems
logDeriv 📖	CompOp	43 math math: logDeriv_const, logDeriv_comp, Complex.logDeriv_tendsto, logDeriv_mul, ModularForm.tsum_logDeriv_eta_q, logDeriv_fun_pow, logDeriv_eqOn_iff, Real.LogDeriv_exp, tendsto_logDeriv_euler_sin_div, logDeriv_sin_div_eq_cot, logDeriv_div, Complex.logDeriv_sin, Complex.logDeriv_exp, ModularForm.logDeriv_one_sub_mul_cexp_comp, logDeriv_apply, logDeriv_id, ModularForm.logDeriv_eta_eq_E2, MeromorphicOn.logDeriv, ModularForm.logDeriv_one_sub_cexp, logDeriv_eq_zero_of_not_differentiableAt, logDeriv_id', Real.logDeriv_exp, Complex.digamma_def, ModularForm.summable_logDeriv_one_sub_eta_q, logDeriv_inv, Complex.LogDeriv_exp, logDeriv_prod, Meromorphic.logDeriv, logDeriv_prod_sineTerm_eq_sum_cotTerm, Real.logDeriv_sin, logDeriv_const_mul, logDeriv_fun_zpow, Complex.logDeriv_cos, logDeriv_mul_const, ModularForm.logDeriv_qParam, Real.logDeriv_cos, Real.logDeriv_cosh, Real.deriv_log_comp_eq_logDeriv, logDeriv_sineTerm_eq_cotTerm, logDeriv_pow, logDeriv_zpow, Complex.deriv_log_comp_eq_logDeriv, Complex.logDeriv_cosh

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
logDeriv_apply 📖	mathematical	—	logDeriv DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing NontriviallyNormedField.toNormedField deriv NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedAlgebra.toNormedSpace SeminormedCommRing.toSeminormedRing UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace	—	—
logDeriv_comp 📖	mathematical	DifferentiableAt NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace	logDeriv Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing NormedAlgebra.id deriv	—	deriv_comp Mathlib.Tactic.Ring.of_eq Mathlib.Tactic.Ring.div_congr Mathlib.Tactic.Ring.mul_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.div_pf Mathlib.Tactic.Ring.inv_single Mathlib.Tactic.Ring.inv_mul Mathlib.Meta.NormNum.IsNat.to_raw_eq Mathlib.Meta.NormNum.isNat_inv_one Mathlib.Meta.NormNum.IsNat.of_raw
logDeriv_const 📖	mathematical	—	logDeriv Pi.instZero MulZeroClass.toZero NonUnitalNonAssocSemiring.toMulZeroClass NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField	—	deriv_const' zero_div
logDeriv_const_mul 📖	mathematical	—	logDeriv Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField	—	deriv_const_mul_field mul_div_mul_left
logDeriv_div 📖	mathematical	DifferentiableAt NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace	logDeriv DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing SubNegMonoid.toSub AddGroup.toSubNegMonoid NormedAddGroup.toAddGroup NormedAddCommGroup.toNormedAddGroup	—	deriv_fun_div Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq IsCancelMulZero.toIsLeftCancelMulZero instIsCancelMulZero Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul Mathlib.Tactic.FieldSimp.NF.div_eq_eval Mathlib.Tactic.FieldSimp.subst_sub Mathlib.Tactic.FieldSimp.NF.mul_eq_eval Mathlib.Tactic.FieldSimp.NF.atom_eq_eval Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃ mul_one Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons one_mul Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div div_one Mathlib.Tactic.FieldSimp.NF.eval_cons Mathlib.Tactic.FieldSimp.zpow'_one Mathlib.Tactic.FieldSimp.NF.pow_eq_eval Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁ Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃ Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂ Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg Mathlib.Tactic.FieldSimp.NF.cons_ne_zero one_ne_zero NeZero.one GroupWithZero.toNontrivial
logDeriv_eqOn_iff 📖	mathematical	DifferentiableOn NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace IsOpen IsPreconnected	Set.EqOn logDeriv Function.hasSMul Algebra.toSMul Semifield.toCommSemiring Field.toSemifield NormedField.toField CommSemiring.toSemiring Algebra.id	—	Set.eq_empty_or_nonempty one_ne_zero NeZero.one IsSimpleRing.instNontrivial DivisionRing.isSimpleRing deriv_mul DifferentiableOn.differentiableAt IsOpen.mem_nhds DifferentiableAt.inv deriv_comp differentiableAt_inv deriv_inv neg_mul mul_neg Mathlib.Tactic.Ring.of_eq Mathlib.Tactic.Ring.add_congr Mathlib.Tactic.Ring.mul_congr Mathlib.Tactic.Ring.atom_pf Mathlib.Tactic.Ring.inv_congr Mathlib.Tactic.Ring.inv_single Mathlib.Tactic.Ring.inv_mul Mathlib.Meta.NormNum.IsNat.to_raw_eq Mathlib.Meta.NormNum.isNat_inv_one Mathlib.Meta.NormNum.IsNat.of_raw Mathlib.Tactic.Ring.mul_pf_right Mathlib.Tactic.Ring.one_mul Mathlib.Tactic.Ring.add_mul Mathlib.Tactic.Ring.mul_add Mathlib.Tactic.Ring.mul_pf_left Mathlib.Tactic.Ring.mul_zero Mathlib.Tactic.Ring.add_pf_add_zero Mathlib.Tactic.Ring.zero_mul Mathlib.Tactic.Ring.neg_congr Mathlib.Tactic.Ring.pow_congr Mathlib.Tactic.Ring.cast_pos Mathlib.Meta.NormNum.isNat_ofNat Mathlib.Tactic.Ring.pow_add Mathlib.Tactic.Ring.single_pow Mathlib.Tactic.Ring.mul_pow Mathlib.Tactic.Ring.one_pow Mathlib.Tactic.Ring.pow_zero Mathlib.Tactic.Ring.neg_add Mathlib.Tactic.Ring.neg_mul Mathlib.Tactic.Ring.neg_one_mul Mathlib.Meta.NormNum.IsInt.to_raw_eq Mathlib.Meta.NormNum.isInt_mul Mathlib.Meta.NormNum.IsInt.of_raw Mathlib.Meta.NormNum.IsNat.to_isInt Mathlib.Tactic.Ring.neg_zero Mathlib.Tactic.Ring.add_pf_add_lt Mathlib.Tactic.Ring.add_pf_zero_add Mathlib.Tactic.Ring.sub_congr Mathlib.Tactic.Ring.div_congr Mathlib.Tactic.Ring.div_pf Mathlib.Tactic.Ring.sub_pf Set.EqOn.trans IsOpen.exists_is_const_of_deriv_eq_zero DifferentiableOn.mul DifferentiableOn.inv Set.EqOn.deriv deriv_const_smul Algebra.to_smulCommClass UniformContinuousConstSMul.to_continuousConstSMul Ring.uniformContinuousConstSMul SeminormedAddCommGroup.to_isUniformAddGroup IsTopologicalSemiring.toContinuousMul IsTopologicalRing.toIsTopologicalSemiring IsTopologicalDivisionRing.toIsTopologicalRing NormedDivisionRing.to_isTopologicalDivisionRing mul_div_mul_left
logDeriv_eq_zero_of_not_differentiableAt 📖	mathematical	DifferentiableAt NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace	logDeriv MulZeroClass.toZero NonUnitalNonAssocSemiring.toMulZeroClass NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing	—	deriv_zero_of_not_differentiableAt zero_div
logDeriv_fun_pow 📖	mathematical	DifferentiableAt NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace	logDeriv Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero DivisionSemiring.toSemiring Semifield.toDivisionSemiring Field.toSemifield NormedField.toField Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing AddMonoidWithOne.toNatCast AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing NormedCommRing.toNormedRing	—	zpow_natCast Int.cast_natCast logDeriv_fun_zpow
logDeriv_fun_zpow 📖	mathematical	DifferentiableAt NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace	logDeriv DivInvMonoid.toZPow DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing AddGroupWithOne.toIntCast Ring.toAddGroupWithOne NormedRing.toRing NormedCommRing.toNormedRing	—	eq_or_ne zpow_zero logDeriv_const Int.cast_zero MulZeroClass.zero_mul zero_zpow div_zero MulZeroClass.mul_zero logDeriv_apply deriv_comp differentiableAt_zpow deriv_zpow zpow_sub_one₀ Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq IsCancelMulZero.toIsLeftCancelMulZero instIsCancelMulZero Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul Mathlib.Tactic.FieldSimp.NF.div_eq_eval Mathlib.Tactic.FieldSimp.NF.mul_eq_eval Mathlib.Tactic.FieldSimp.NF.atom_eq_eval Mathlib.Tactic.FieldSimp.NF.inv_eq_eval Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃ mul_one Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁ Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂ div_one Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero one_mul Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div Mathlib.Tactic.FieldSimp.NF.eval_cons Mathlib.Tactic.FieldSimp.zpow'_one Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval Mathlib.Tactic.FieldSimp.NF.cons_ne_zero one_ne_zero NeZero.one GroupWithZero.toNontrivial
logDeriv_id 📖	mathematical	—	logDeriv NormedAlgebra.id NontriviallyNormedField.toNormedField DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing NormedCommRing.toNormedRing NormedField.toNormedCommRing	—	deriv_id' one_div
logDeriv_id' 📖	mathematical	—	logDeriv NormedAlgebra.id NontriviallyNormedField.toNormedField DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing NormedCommRing.toNormedRing NormedField.toNormedCommRing	—	logDeriv_id
logDeriv_inv 📖	mathematical	—	logDeriv NormedAlgebra.id NontriviallyNormedField.toNormedField InvOneClass.toInv DivInvOneMonoid.toInvOneClass DivisionMonoid.toDivInvOneMonoid DivisionCommMonoid.toDivisionMonoid CommGroupWithZero.toDivisionCommMonoid Semifield.toCommGroupWithZero Field.toSemifield NormedField.toField DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing NegZeroClass.toNeg SubNegZeroMonoid.toNegZeroClass SubtractionMonoid.toSubNegZeroMonoid SubtractionCommMonoid.toSubtractionMonoid AddCommGroup.toDivisionAddCommMonoid NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing AddMonoidWithOne.toOne AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing NormedCommRing.toNormedRing	—	zpow_neg zpow_one Int.cast_neg Int.cast_one logDeriv_zpow
logDeriv_mul 📖	mathematical	DifferentiableAt NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace	logDeriv Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing Distrib.toAdd	—	deriv_fun_mul Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq IsCancelMulZero.toIsLeftCancelMulZero instIsCancelMulZero Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul Mathlib.Tactic.FieldSimp.NF.div_eq_eval Mathlib.Tactic.FieldSimp.subst_add Mathlib.Tactic.FieldSimp.NF.mul_eq_eval Mathlib.Tactic.FieldSimp.NF.atom_eq_eval Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃ mul_one Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons one_mul Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div div_one Mathlib.Tactic.FieldSimp.NF.eval_cons Mathlib.Tactic.FieldSimp.zpow'_one Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁ Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁ Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃ Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg Mathlib.Tactic.FieldSimp.NF.cons_ne_zero one_ne_zero NeZero.one GroupWithZero.toNontrivial
logDeriv_mul_const 📖	mathematical	—	logDeriv Distrib.toMul NonUnitalNonAssocSemiring.toDistrib NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing NonUnitalCommRing.toNonUnitalNonAssocCommRing NonUnitalNormedCommRing.toNonUnitalCommRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField	—	deriv_mul_const_field mul_div_mul_right
logDeriv_pow 📖	mathematical	—	logDeriv NormedAlgebra.id NontriviallyNormedField.toNormedField Monoid.toNatPow MonoidWithZero.toMonoid Semiring.toMonoidWithZero DivisionSemiring.toSemiring Semifield.toDivisionSemiring Field.toSemifield NormedField.toField DivInvMonoid.toDiv DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing AddMonoidWithOne.toNatCast AddGroupWithOne.toAddMonoidWithOne Ring.toAddGroupWithOne NormedRing.toRing NormedCommRing.toNormedRing NormedField.toNormedCommRing	—	zpow_natCast Int.cast_natCast logDeriv_zpow
logDeriv_prod 📖	mathematical	DifferentiableAt NormedAddCommGroup.toAddCommGroup NonUnitalNormedRing.toNormedAddCommGroup NonUnitalNormedCommRing.toNonUnitalNormedRing NormedCommRing.toNonUnitalNormedCommRing NormedField.toNormedCommRing NontriviallyNormedField.toNormedField NormedSpace.toModule NonUnitalSeminormedRing.toSeminormedAddCommGroup NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing SeminormedCommRing.toNonUnitalSeminormedCommRing NormedCommRing.toSeminormedCommRing NormedField.toNormedSpace UniformSpace.toTopologicalSpace PseudoMetricSpace.toUniformSpace SeminormedRing.toPseudoMetricSpace SeminormedCommRing.toSeminormedRing NormedAlgebra.toNormedSpace	logDeriv Finset.prod CommRing.toCommMonoid Field.toCommRing NormedField.toField Finset.sum ESeminormedAddCommMonoid.toAddCommMonoid ENormedAddCommMonoid.toESeminormedAddCommMonoid NormedAddCommGroup.toENormedAddCommMonoid	—	Finset.cons_induction logDeriv_const Finset.prod_cons Finset.sum_cons logDeriv_mul Finset.forall_mem_cons IsSimpleRing.instNontrivial DivisionRing.isSimpleRing NormMulClass.toNoZeroDivisors NormedDivisionRing.toNormMulClass DifferentiableAt.fun_finset_prod
logDeriv_zpow 📖	mathematical	—	logDeriv NormedAlgebra.id NontriviallyNormedField.toNormedField DivInvMonoid.toZPow DivisionRing.toDivInvMonoid NormedDivisionRing.toDivisionRing NormedField.toNormedDivisionRing DivInvMonoid.toDiv AddGroupWithOne.toIntCast Ring.toAddGroupWithOne NormedRing.toRing NormedCommRing.toNormedRing NormedField.toNormedCommRing	—	logDeriv_fun_zpow differentiableAt_id logDeriv_id' mul_one_div

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