Documentation Verification Report

Add

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

Statistics

MetricCount
Definitions0
Theoremsadd, add_const, add_iff_left, add_iff_right, const_add, const_smul, const_sub, fun_add, fun_add_iff_left, fun_add_iff_right, fun_const_smul, fun_neg, fun_sub, fun_sub_iff_left, fun_sub_iff_right, fun_sum, neg, sub, sub_const, sub_iff_left, sub_iff_right, sum, add, add_const, add_iff_left, add_iff_right, const_add, const_smul, const_sub, fun_add, fun_add_iff_left, fun_add_iff_right, fun_const_smul, fun_neg, fun_sub, fun_sub_iff_left, fun_sub_iff_right, fun_sum, neg, sub, sub_const, sub_iff_left, sub_iff_right, sum, add, add_const, add_iff_left, add_iff_right, const_add, const_smul, const_sub, fun_add, fun_add_iff_left, fun_add_iff_right, fun_const_smul, fun_neg, fun_sub, fun_sub_iff_left, fun_sub_iff_right, fun_sum, neg, sub, sub_const, sub_iff_left, sub_iff_right, sum, add, add_const, const_add, const_smul, const_sub, fun_add, fun_const_smul, fun_neg, fun_sub, fun_sum, neg, sub, sub_const, sum, add, add_const, const_add, const_smul, const_sub, fun_add, fun_const_smul, fun_neg, fun_sub, fun_sum, neg, sub, sub_const, sum, add, add_const, const_add, const_smul, const_sub, fun_add, fun_const_smul, fun_neg, fun_sub, fun_sum, neg, sub, sub_const, sum, add, add_const, const_add, const_smul, const_sub, fun_add, fun_const_smul, fun_neg, fun_sub, fun_sum, neg, sub, sub_const, sum, add, add_const, const_add, const_smul, const_sub, fun_add, fun_const_smul, fun_neg, fun_sub, fun_sum, neg, sub, sub_const, sum, differentiableAt_add_const_iff, differentiableAt_comp_add_left, differentiableAt_comp_add_right, differentiableAt_comp_sub, differentiableAt_const_add_iff, differentiableAt_fun_neg_iff, differentiableAt_neg_iff, differentiableAt_smul_iff, differentiableOn_add_const_iff, differentiableOn_const_add_iff, differentiableOn_fun_neg_iff, differentiableOn_neg_iff, differentiableWithinAt_add_const_iff, differentiableWithinAt_comp_add_left, differentiableWithinAt_comp_add_right, differentiableWithinAt_comp_sub, differentiableWithinAt_const_add_iff, differentiableWithinAt_const_sub_iff, differentiableWithinAt_fun_neg_iff, differentiableWithinAt_neg_iff, differentiableWithinAt_smul_iff, differentiableWithinAt_sub_const_iff, differentiable_add_const_iff, differentiable_const_add_iff, differentiable_fun_neg_iff, differentiable_neg_iff, fderivWithin_add, fderivWithin_add_const, fderivWithin_comp_add_left, fderivWithin_comp_add_right, fderivWithin_comp_sub, fderivWithin_const_add, fderivWithin_const_smul, fderivWithin_const_smul_field, fderivWithin_const_smul_of_field, fderivWithin_const_smul_of_invertible, fderivWithin_const_sub, fderivWithin_fun_add, fderivWithin_fun_const_smul, fderivWithin_fun_neg, fderivWithin_fun_sub, fderivWithin_fun_sum, fderivWithin_neg, fderivWithin_sub, fderivWithin_sub_const, fderivWithin_sum, fderiv_add, fderiv_add_const, fderiv_comp_add_left, fderiv_comp_add_right, fderiv_comp_sub, fderiv_const_add, fderiv_const_smul, fderiv_const_smul_field, fderiv_const_smul_of_field, fderiv_const_smul_of_invertible, fderiv_const_sub, fderiv_fun_add, fderiv_fun_const_smul, fderiv_fun_neg, fderiv_fun_sub, fderiv_fun_sum, fderiv_neg, fderiv_sub, fderiv_sub_const, fderiv_sum, hasFDerivAtFilter_add_const_iff, hasFDerivAtFilter_const_add_iff, hasFDerivAtFilter_sub_const_iff, hasFDerivAt_add_const_iff, hasFDerivAt_comp_add_left, hasFDerivAt_comp_add_right, hasFDerivAt_comp_sub, hasFDerivAt_const_add_iff, hasFDerivAt_sub_const, hasFDerivAt_sub_const_iff, hasFDerivWithinAt_add_const_iff, hasFDerivWithinAt_comp_add_left, hasFDerivWithinAt_comp_add_right, hasFDerivWithinAt_comp_sub, hasFDerivWithinAt_const_add_iff, hasFDerivWithinAt_sub_const_iff, hasStrictFDerivAt_add_const_iff, hasStrictFDerivAt_const_add_iff, hasStrictFDerivAt_sub_const, hasStrictFDerivAt_sub_const_iff
222
Total222

Differentiable

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DifferentiableAt.add
add_const 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiable_add_const_iff
add_iff_left 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_sub_cancel_right
sub
add
add_iff_right 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
add_iff_left
const_add 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiable_const_add_iff
const_smul 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
DifferentiableAt.const_smul
const_sub 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
DifferentiableAt.const_sub
fun_add 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add
fun_add_iff_left 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_iff_left
fun_add_iff_right 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_iff_right
fun_const_smul 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
const_smul
fun_neg 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg
fun_sub 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub
fun_sub_iff_left 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_iff_left
fun_sub_iff_right 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_iff_right
fun_sum 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DifferentiableAt.fun_sum
neg 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
DifferentiableAt.neg
sub 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
DifferentiableAt.sub
sub_const 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
DifferentiableAt.sub_const
sub_iff_left 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
sub_iff_right 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
sum 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DifferentiableAt.sum

DifferentiableAt

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasFDerivAt.differentiableAt
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.add
hasFDerivAt
add_const 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableAt_add_const_iff
add_iff_left 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_sub_cancel_right
sub
add
add_iff_right 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
add_iff_left
const_add 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableAt_const_add_iff
const_smul 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
HasFDerivAt.differentiableAt
HasFDerivAt.const_smul
hasFDerivAt
const_sub 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HasFDerivAt.differentiableAt
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.const_sub
hasFDerivAt
fun_add 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add
fun_add_iff_left 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_iff_left
fun_add_iff_right 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_iff_right
fun_const_smul 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
const_smul
fun_neg 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg
fun_sub 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub
fun_sub_iff_left 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_iff_left
fun_sub_iff_right 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_iff_right
fun_sum 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasFDerivAt.differentiableAt
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.fun_sum
hasFDerivAt
neg 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
HasFDerivAt.differentiableAt
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.neg
hasFDerivAt
sub 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HasFDerivAt.differentiableAt
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.sub
hasFDerivAt
sub_const 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HasFDerivAt.differentiableAt
HasFDerivAt.sub_const
hasFDerivAt
sub_iff_left 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
sub_iff_right 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
sum 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasFDerivAt.differentiableAt
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.sum
hasFDerivAt

DifferentiableOn

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DifferentiableWithinAt.add
add_const 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableOn_add_const_iff
add_iff_left 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_sub_cancel_right
sub
add
add_iff_right 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
add_iff_left
const_add 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableOn_const_add_iff
const_smul 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
DifferentiableWithinAt.const_smul
const_sub 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
DifferentiableWithinAt.const_sub
fun_add 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add
fun_add_iff_left 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_iff_left
fun_add_iff_right 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_iff_right
fun_const_smul 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
const_smul
fun_neg 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg
fun_sub 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub
fun_sub_iff_left 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_iff_left
fun_sub_iff_right 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_iff_right
fun_sum 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DifferentiableWithinAt.fun_sum
neg 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
DifferentiableWithinAt.neg
sub 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
DifferentiableWithinAt.sub
sub_const 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
DifferentiableWithinAt.sub_const
sub_iff_left 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
sub_iff_right 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
sum 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DifferentiableWithinAt.sum

DifferentiableWithinAt

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasFDerivWithinAt.differentiableWithinAt
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.add
hasFDerivWithinAt
add_const 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableWithinAt_add_const_iff
const_add 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableWithinAt_const_add_iff
const_smul 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
HasFDerivWithinAt.differentiableWithinAt
HasFDerivWithinAt.const_smul
hasFDerivWithinAt
const_sub 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HasFDerivWithinAt.differentiableWithinAt
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.const_sub
hasFDerivWithinAt
fun_add 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add
fun_const_smul 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
const_smul
fun_neg 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg
fun_sub 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub
fun_sum 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasFDerivWithinAt.differentiableWithinAt
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.fun_sum
hasFDerivWithinAt
neg 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
HasFDerivWithinAt.differentiableWithinAt
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.neg
hasFDerivWithinAt
sub 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HasFDerivWithinAt.differentiableWithinAt
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.sub
hasFDerivWithinAt
sub_const 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HasFDerivWithinAt.differentiableWithinAt
HasFDerivWithinAt.sub_const
hasFDerivWithinAt
sum 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasFDerivWithinAt.differentiableWithinAt
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.sum
hasFDerivWithinAt

HasFDerivAt

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.add
add_const 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAt_add_const_iff
const_add 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAt_const_add_iff
const_smul 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
HasFDerivAtFilter.const_smul
const_sub 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.const_sub
fun_add 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
add
fun_const_smul 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
const_smul
fun_neg 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
neg
fun_sub 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
sub
fun_sum 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.fun_sum
neg 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.neg
sub 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.sub
sub_const 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
hasFDerivAt_sub_const_iff
sum 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.sum

HasFDerivAtFilter

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
of_isLittleO
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
Asymptotics.IsLittleO.congr_left
Asymptotics.IsLittleO.add
isLittleO
map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
ContinuousSemilinearMapClass.toSemilinearMapClass
ContinuousLinearMap.continuousSemilinearMapClass
Mathlib.Tactic.Abel.subst_into_addg
Mathlib.Tactic.Abel.unfold_sub
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.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
add_const 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAtFilter_add_const_iff
const_add 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAtFilter_const_add_iff
const_smul 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
comp
ContinuousLinearMap.hasFDerivAtFilter
Filter.tendsto_map
const_sub 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
sub_eq_add_neg
const_add
neg
fun_add 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
add
fun_const_smul 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
const_smul
fun_neg 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
neg
fun_sub 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
sub
fun_sum 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
ContinuousLinearMap.sum_apply
Finset.sum_congr
map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
ContinuousSemilinearMapClass.toSemilinearMapClass
ContinuousLinearMap.continuousSemilinearMapClass
Finset.sum_sub_distrib
Asymptotics.IsLittleO.sum
neg 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
comp
SeminormedAddCommGroup.toIsTopologicalAddGroup
ContinuousLinearMap.hasFDerivAtFilter
Filter.tendsto_map
sub 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
RingHomIsometric.ids
sub_eq_add_neg
add
neg
sub_const 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
hasFDerivAtFilter_sub_const_iff
sum 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
Finset.sum_apply
fun_sum

HasFDerivWithinAt

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.add
add_const 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivWithinAt_add_const_iff
const_add 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivWithinAt_const_add_iff
const_smul 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
HasFDerivAtFilter.const_smul
const_sub 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.const_sub
fun_add 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
add
fun_const_smul 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
const_smul
fun_neg 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
neg
fun_sub 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
sub
fun_sum 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.fun_sum
neg 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.neg
sub 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.sub
sub_const 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
hasFDerivWithinAt_sub_const_iff
sum 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAtFilter.sum

HasStrictFDerivAt

Theorems

NameKindAssumesProvesValidatesDepends On
add 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
of_isLittleO
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
Asymptotics.IsLittleO.congr_left
Asymptotics.IsLittleO.add
isLittleO
add_const 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasStrictFDerivAt_add_const_iff
const_add 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasStrictFDerivAt_const_add_iff
const_smul 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
comp
ContinuousLinearMap.hasStrictFDerivAt
const_sub 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
sub_eq_add_neg
const_add
neg
fun_add 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
add
fun_const_smul 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
const_smul
fun_neg 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
neg
fun_sub 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
sub
fun_sum 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
ContinuousLinearMap.sum_apply
Finset.sum_congr
map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
ContinuousSemilinearMapClass.toSemilinearMapClass
ContinuousLinearMap.continuousSemilinearMapClass
Finset.sum_sub_distrib
Asymptotics.IsLittleO.sum
neg 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
comp
SeminormedAddCommGroup.toIsTopologicalAddGroup
ContinuousLinearMap.hasStrictFDerivAt
sub 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
RingHomIsometric.ids
sub_eq_add_neg
add
neg
sub_const 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
hasStrictFDerivAt_sub_const_iff
sum 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
Finset.sum_apply
fun_sum

(root)

Theorems

NameKindAssumesProvesValidatesDepends On
differentiableAt_add_const_iff 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAt_add_const_iff
differentiableAt_comp_add_left 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableAt_comp_add_right 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableAt_comp_sub 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
differentiableAt_const_add_iff 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAt_const_add_iff
differentiableAt_fun_neg_iff 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
DifferentiableAt.fun_neg
DifferentiableAt.neg
differentiableAt_neg_iff 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
DifferentiableAt.neg
differentiableAt_smul_iff 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
differentiableWithinAt_univ
differentiableWithinAt_smul_iff
differentiableOn_add_const_iff 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableWithinAt_add_const_iff
differentiableOn_const_add_iff 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableWithinAt_const_add_iff
differentiableOn_fun_neg_iff 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
DifferentiableOn.fun_neg
DifferentiableOn.neg
differentiableOn_neg_iff 📖mathematicalDifferentiableOn
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
DifferentiableOn.neg
differentiableWithinAt_add_const_iff 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivWithinAt_add_const_iff
differentiableWithinAt_comp_add_left 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
addGroupIsAddTorsor
differentiableWithinAt_comp_add_right 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
addGroupIsAddTorsor
differentiableWithinAt_comp_sub 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
addGroupIsAddTorsor
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
differentiableWithinAt_const_add_iff 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivWithinAt_const_add_iff
differentiableWithinAt_const_sub_iff 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
differentiableWithinAt_fun_neg_iff 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
DifferentiableWithinAt.fun_neg
DifferentiableWithinAt.neg
differentiableWithinAt_neg_iff 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
DifferentiableWithinAt.neg
differentiableWithinAt_smul_iff 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
DifferentiableWithinAt.congr_of_eventuallyEq
DifferentiableWithinAt.const_smul
Filter.univ_mem'
invOf_smul_smul
differentiableWithinAt_sub_const_iff 📖mathematicalDifferentiableWithinAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
differentiable_add_const_iff 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableAt_add_const_iff
differentiable_const_add_iff 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
differentiableAt_const_add_iff
differentiable_fun_neg_iff 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
Differentiable.fun_neg
Differentiable.neg
differentiable_neg_iff 📖mathematicalDifferentiable
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
neg_neg
Differentiable.neg
fderivWithin_add 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.fderivWithin
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivWithinAt.add
DifferentiableWithinAt.hasFDerivWithinAt
fderivWithin_add_const 📖mathematicalfderivWithin
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
fderivWithin_def
fderivWithin_comp_add_left 📖mathematicalfderivWithin
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
addGroupIsAddTorsor
fderivWithin_def
fderivWithin_comp_add_right 📖mathematicalfderivWithin
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
addGroupIsAddTorsor
add_comm
fderivWithin_comp_add_left
fderivWithin_comp_sub 📖mathematicalfderivWithin
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
addGroupIsAddTorsor
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
sub_eq_add_neg
fderivWithin_comp_add_right
fderivWithin_const_add 📖mathematicalfderivWithin
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
fderivWithin_add_const
fderivWithin_const_smul 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
fderivWithin_fun_const_smul
fderivWithin_const_smul_field 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderivWithin
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
eq_or_ne
zero_smul
fderivWithin_zero
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
ContinuousLinearMap.ext
fderivWithin_const_smul_of_invertible
fderivWithin_const_smul_of_field 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderivWithin
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
fderivWithin_const_smul_field
fderivWithin_const_smul_of_invertible 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderivWithin
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
HasFDerivWithinAt.fderivWithin
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivWithinAt.const_smul
DifferentiableWithinAt.hasFDerivWithinAt
Mathlib.Tactic.Contrapose.contrapose₄
differentiableWithinAt_smul_iff
fderivWithin_zero_of_not_differentiableWithinAt
smul_zero
RingHomIsometric.ids
fderivWithin_const_sub 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderivWithin
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
sub_eq_add_neg
fderivWithin_const_add
fderivWithin_fun_neg
fderivWithin_fun_add 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderivWithin_add
fderivWithin_fun_const_smul 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
HasFDerivWithinAt.fderivWithin
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivWithinAt.const_smul
DifferentiableWithinAt.hasFDerivWithinAt
fderivWithin_fun_neg 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderivWithin
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.fderivWithin
IsTopologicalAddGroup.toContinuousAdd
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivWithinAt.neg
DifferentiableWithinAt.hasFDerivWithinAt
fderivWithin_zero_of_not_differentiableWithinAt
neg_zero
fderivWithin_fun_sub 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.fderivWithin
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivWithinAt.sub
DifferentiableWithinAt.hasFDerivWithinAt
fderivWithin_fun_sum 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.fderivWithin
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivWithinAt.fun_sum
DifferentiableWithinAt.hasFDerivWithinAt
fderivWithin_neg 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderivWithin
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderivWithin_fun_neg
fderivWithin_sub 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderivWithin_fun_sub
fderivWithin_sub_const 📖mathematicalfderivWithin
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
fderivWithin_add_const
fderivWithin_sum 📖mathematicalUniqueDiffWithinAt
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
DifferentiableWithinAt
fderivWithin
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivWithinAt.fderivWithin
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivWithinAt.sum
DifferentiableWithinAt.hasFDerivWithinAt
fderiv_add 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
Pi.instAdd
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.fderiv
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivAt.add
DifferentiableAt.hasFDerivAt
fderiv_add_const 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
fderivWithin_add_const
fderiv_comp_add_left 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
fderiv_comp_add_right
fderiv_comp_add_right 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
fderivWithin_comp_add_right
Set.vadd_set_univ
fderiv_comp_sub 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
fderivWithin_comp_sub
Set.vadd_set_univ
fderiv_const_add 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
fderiv_add_const
fderiv_const_smul 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
HasFDerivAt.fderiv
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivAt.const_smul
DifferentiableAt.hasFDerivAt
fderiv_const_smul_field 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DivisionSemiring.toSemiring
Module.toDistribMulAction
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
ContinuousLinearMap.ext
fderivWithin_const_smul_field
uniqueDiffWithinAt_univ
NormedField.nhdsNE_neBot
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
fderivWithin_univ
fderiv_const_smul_of_field 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DivisionSemiring.toSemiring
Module.toDistribMulAction
ESeminormedAddCommMonoid.toAddCommMonoid
ContinuousLinearMap
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
fderiv_const_smul_field
fderiv_const_smul_of_invertible 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Function.hasSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
fderivWithin_const_smul_of_invertible
uniqueDiffWithinAt_univ
NormedField.nhdsNE_neBot
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
fderiv_const_sub 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderivWithin_const_sub
uniqueDiffWithinAt_univ
NormedField.nhdsNE_neBot
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
fderiv_fun_add 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.add
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderiv_add
fderiv_fun_const_smul 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.instSMul
AddCommMonoid.toAddMonoid
HasFDerivAt.fderiv
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivAt.const_smul
DifferentiableAt.hasFDerivAt
fderiv_fun_neg 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderivWithin_fun_neg
uniqueDiffWithinAt_univ
NormedField.nhdsNE_neBot
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
fderiv_fun_sub 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.fderiv
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsTopologicalAddGroup.toContinuousAdd
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivAt.sub
DifferentiableAt.hasFDerivAt
fderiv_fun_sum 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
Finset.sum
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.fderiv
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivAt.fun_sum
DifferentiableAt.hasFDerivAt
fderiv_neg 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
Pi.instNeg
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.neg
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderiv_fun_neg
fderiv_sub 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
Pi.instSub
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.sub
NormedRing.toRing
NormedCommRing.toNormedRing
NormedField.toNormedCommRing
SeminormedAddCommGroup.toAddCommGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
fderiv_fun_sub
fderiv_sub_const 📖mathematicalfderiv
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
fderiv_add_const
fderiv_sum 📖mathematicalDifferentiableAt
NormedAddCommGroup.toAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
NormedAddCommGroup.toSeminormedAddCommGroup
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
fderiv
Finset.sum
Pi.addCommMonoid
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
ContinuousLinearMap
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
RingHom.id
Semiring.toNonAssocSemiring
AddCommGroup.toAddCommMonoid
ContinuousLinearMap.addCommMonoid
IsTopologicalAddGroup.toContinuousAdd
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
SeminormedAddCommGroup.toIsTopologicalAddGroup
HasFDerivAt.fderiv
IsTopologicalAddGroup.toContinuousAdd
SeminormedAddCommGroup.toIsTopologicalAddGroup
IsBoundedSMul.continuousSMul
NormedSpace.toIsBoundedSMul
TopologicalSpace.t2Space_of_metrizableSpace
EMetricSpace.metrizableSpace
HasFDerivAt.sum
DifferentiableAt.hasFDerivAt
hasFDerivAtFilter_add_const_iff 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_sub_add_right_eq_sub
map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
ContinuousSemilinearMapClass.toSemilinearMapClass
ContinuousLinearMap.continuousSemilinearMapClass
hasFDerivAtFilter_const_add_iff 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
hasFDerivAtFilter_add_const_iff
hasFDerivAtFilter_sub_const_iff 📖mathematicalHasFDerivAtFilter
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg
hasFDerivAt_add_const_iff 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAtFilter_add_const_iff
hasFDerivAt_comp_add_left 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
hasFDerivAt_comp_add_right
hasFDerivAt_comp_add_right 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
Set.vadd_set_univ
hasFDerivAt_comp_sub 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
Set.vadd_set_univ
hasFDerivAt_const_add_iff 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAtFilter_const_add_iff
hasFDerivAt_sub_const 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap.id
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasFDerivAt.sub_const
hasFDerivAt_id
hasFDerivAt_sub_const_iff 📖mathematicalHasFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
hasFDerivAtFilter_sub_const_iff
hasFDerivWithinAt_add_const_iff 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAtFilter_add_const_iff
hasFDerivWithinAt_comp_add_left 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
addGroupIsAddTorsor
Filter.map_inf
add_right_injective
AddLeftCancelSemigroup.toIsLeftCancelAdd
map_add_left_nhds
SeminormedAddCommGroup.toIsTopologicalAddGroup
Filter.map_principal
Set.image_add_left
Set.image_congr
map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
ContinuousSemilinearMapClass.toSemilinearMapClass
ContinuousLinearMap.continuousSemilinearMapClass
map_add
SemilinearMapClass.toAddHomClass
add_sub_add_left_eq_sub
hasFDerivWithinAt_comp_add_right 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
addGroupIsAddTorsor
add_comm
hasFDerivWithinAt_comp_add_left
hasFDerivWithinAt_comp_sub 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
HVAdd.hVAdd
Set
instHVAdd
Set.vaddSet
AddSemigroupAction.toVAdd
AddMonoid.toAddSemigroup
ESeminormedAddMonoid.toAddMonoid
ESeminormedAddCommMonoid.toESeminormedAddMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
AddAction.toAddSemigroupAction
AddTorsor.toAddAction
addGroupIsAddTorsor
NegZeroClass.toNeg
SubNegZeroMonoid.toNegZeroClass
SubtractionMonoid.toSubNegZeroMonoid
SubtractionCommMonoid.toSubtractionMonoid
AddCommGroup.toDivisionAddCommMonoid
NormedAddCommGroup.toAddCommGroup
sub_eq_add_neg
hasFDerivWithinAt_comp_add_right
hasFDerivWithinAt_const_add_iff 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
hasFDerivAtFilter_const_add_iff
hasFDerivWithinAt_sub_const_iff 📖mathematicalHasFDerivWithinAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
hasFDerivAtFilter_sub_const_iff
hasStrictFDerivAt_add_const_iff 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_sub_add_right_eq_sub
map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
ContinuousSemilinearMapClass.toSemilinearMapClass
ContinuousLinearMap.continuousSemilinearMapClass
hasStrictFDerivAt_const_add_iff 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
add_comm
hasStrictFDerivAt_add_const_iff
hasStrictFDerivAt_sub_const 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
ContinuousLinearMap.id
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
NormedField.toField
ESeminormedAddCommMonoid.toAddCommMonoid
ENormedAddCommMonoid.toESeminormedAddCommMonoid
NormedAddCommGroup.toENormedAddCommMonoid
HasStrictFDerivAt.sub_const
hasStrictFDerivAt_id
hasStrictFDerivAt_sub_const_iff 📖mathematicalHasStrictFDerivAt
SeminormedAddCommGroup.toAddCommGroup
NormedAddCommGroup.toSeminormedAddCommGroup
NormedSpace.toModule
NontriviallyNormedField.toNormedField
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedAddCommGroup.toPseudoMetricSpace
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
NormedAddGroup.toAddGroup
NormedAddCommGroup.toNormedAddGroup
sub_eq_add_neg

---

← Back to Index