Documentation Verification Report

Action

📁 Source: Mathlib/RepresentationTheory/Action.lean

Statistics

MetricCount
DefinitionsAction, δ, ε, η, μ, linearize, linearizeDiagonalEquiv, linearizeMap, linearizeOfMulActionIso, linearizeTrivialIso
10
Theoremstensor_ρ_apply, assoc_comp_δ, lTensor_comp_δ, leftUnitor_δ, rTensor_comp_δ, rightUnitor_δ, δ_apply_single, δ_μ, ε_one, ε_toLinearMap, ε_η, η_single, η_toLinearMap, η_ε, μ_apply_apply, μ_apply_single_single, μ_comp_assoc, μ_comp_lTensor, μ_comp_rTensor, μ_leftUnitor, μ_rightUnitor, μ_toLinearMap, μ_δ, linearizeMap_single, linearizeMap_toLinearMap, linearizeOfMulActionIso_apply, linearizeOfMulActionIso_symm_apply, linearizeTrivialIso_apply, linearizeTrivialIso_symm_apply, linearizeTrivial_def, linearize_apply, linearize_single
32
Total42

Action

Theorems

NameKindAssumesProvesValidatesDepends On
tensor_ρ_apply 📖mathematicalDFunLike.coe
MonoidHom
CategoryTheory.End
CategoryTheory.Category.toCategoryStruct
CategoryTheory.types
V
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulOneClass.toMulOne
Monoid.toMulOneClass
CategoryTheory.End.monoid
MonoidHom.instFunLike
ρ

Representation

Definitions

NameCategoryTheorems
linearize 📖CompOp
37 mathmath: LinearizeMonoidal.ε_η, linearize_single, Rep.ε_def, LinearizeMonoidal.μ_apply_single_single, Rep.μ_def, LinearizeMonoidal.μ_comp_assoc, Rep.δ_def, LinearizeMonoidal.ε_one, LinearizeMonoidal.μ_comp_rTensor, LinearizeMonoidal.μ_δ, linearizeTrivialIso_apply, LinearizeMonoidal.η_toLinearMap, LinearizeMonoidal.assoc_comp_δ, linearizeOfMulActionIso_apply, LinearizeMonoidal.rTensor_comp_δ, LinearizeMonoidal.μ_comp_lTensor, LinearizeMonoidal.rightUnitor_δ, LinearizeMonoidal.η_single, Rep.linearization_obj_ρ, LinearizeMonoidal.leftUnitor_δ, Rep.linearization_map, LinearizeMonoidal.η_ε, LinearizeMonoidal.lTensor_comp_δ, LinearizeMonoidal.δ_apply_single, linearizeOfMulActionIso_symm_apply, linearizeMap_single, Rep.η_def, LinearizeMonoidal.μ_toLinearMap, LinearizeMonoidal.μ_leftUnitor, LinearizeMonoidal.μ_rightUnitor, LinearizeMonoidal.δ_μ, linearizeMap_toLinearMap, LinearizeMonoidal.μ_apply_apply, linearize_apply, linearizeTrivial_def, LinearizeMonoidal.ε_toLinearMap, linearizeTrivialIso_symm_apply
linearizeDiagonalEquiv 📖CompOp
linearizeMap 📖CompOp
13 mathmath: LinearizeMonoidal.μ_comp_assoc, LinearizeMonoidal.μ_comp_rTensor, LinearizeMonoidal.assoc_comp_δ, LinearizeMonoidal.rTensor_comp_δ, LinearizeMonoidal.μ_comp_lTensor, LinearizeMonoidal.rightUnitor_δ, LinearizeMonoidal.leftUnitor_δ, Rep.linearization_map, LinearizeMonoidal.lTensor_comp_δ, linearizeMap_single, LinearizeMonoidal.μ_leftUnitor, LinearizeMonoidal.μ_rightUnitor, linearizeMap_toLinearMap
linearizeOfMulActionIso 📖CompOp
2 mathmath: linearizeOfMulActionIso_apply, linearizeOfMulActionIso_symm_apply
linearizeTrivialIso 📖CompOp
2 mathmath: linearizeTrivialIso_apply, linearizeTrivialIso_symm_apply

Theorems

NameKindAssumesProvesValidatesDepends On
linearizeMap_single 📖mathematicalDFunLike.coe
IntertwiningMap
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
linearize
IntertwiningMap.instFunLike
linearizeMap
Finsupp.single
Action.Hom.hom
Finsupp.mapDomain_single
linearizeMap_toLinearMap 📖mathematicalIntertwiningMap.toLinearMap
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
linearize
linearizeMap
Finsupp.lmapDomain
Action.Hom.hom
linearizeOfMulActionIso_apply 📖mathematicalDFunLike.coe
Equiv
Finsupp
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Action.V
CategoryTheory.types
Action.ofMulAction
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
ofMulAction
linearize
EquivLike.toFunLike
Equiv.instEquivLike
linearizeOfMulActionIso
linearizeOfMulActionIso_symm_apply 📖mathematicalDFunLike.coe
Equiv
Finsupp
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Action.V
CategoryTheory.types
Action.ofMulAction
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
ofMulAction
linearize
EquivLike.toFunLike
Equiv.instEquivLike
Equiv.symm
linearizeOfMulActionIso
linearizeTrivialIso_apply 📖mathematicalDFunLike.coe
Equiv
Finsupp
Action.V
CategoryTheory.types
Action.trivial
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
linearize
trivial
EquivLike.toFunLike
Equiv.instEquivLike
linearizeTrivialIso
linearizeTrivialIso_symm_apply 📖mathematicalDFunLike.coe
Equiv
Finsupp
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Action.V
CategoryTheory.types
Action.trivial
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
trivial
linearize
EquivLike.toFunLike
Equiv.instEquivLike
Equiv.symm
linearizeTrivialIso
linearizeTrivial_def 📖mathematicalDFunLike.coe
Representation
Finsupp
Action.V
CategoryTheory.types
Action.trivial
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
LinearMap
RingHom.id
MonoidHom.instFunLike
MulOneClass.toMulOne
Monoid.toMulOneClass
MulZeroOneClass.toMulOneClass
NonAssocSemiring.toMulZeroOneClass
Module.End.instSemiring
linearize
LinearMap.id
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
LinearMap.comp_apply
RingHomCompTriple.right_ids
LinearMap.id_comp
Finsupp.lsingle_apply
linearize_single
linearize_apply 📖mathematicalDFunLike.coe
MonoidHom
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
MulOneClass.toMulOne
Monoid.toMulOneClass
MulZeroOneClass.toMulOneClass
NonAssocSemiring.toMulZeroOneClass
Module.End.instSemiring
MonoidHom.instFunLike
linearize
Finsupp.lmapDomain
CategoryTheory.End
CategoryTheory.Category.toCategoryStruct
CategoryTheory.End.monoid
Action.ρ
linearize_single 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
LinearMap.instFunLike
Representation
MonoidHom.instFunLike
MulOneClass.toMulOne
Monoid.toMulOneClass
MulZeroOneClass.toMulOneClass
NonAssocSemiring.toMulZeroOneClass
Module.End.instSemiring
linearize
Finsupp.single
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
MonoidHom
CategoryTheory.End
CategoryTheory.Category.toCategoryStruct
CategoryTheory.End.monoid
Action.ρ
Finsupp.mapDomain_single

Representation.LinearizeMonoidal

Definitions

NameCategoryTheorems
δ 📖CompOp
10 mathmath: Rep.δ_def, μ_δ, assoc_comp_δ, rTensor_comp_δ, rightUnitor_δ, Rep.δ_hom, leftUnitor_δ, lTensor_comp_δ, δ_apply_single, δ_μ
ε 📖CompOp
8 mathmath: ε_η, Rep.ε_def, ε_one, Rep.ε_hom, η_ε, μ_leftUnitor, μ_rightUnitor, ε_toLinearMap
η 📖CompOp
8 mathmath: ε_η, η_toLinearMap, rightUnitor_δ, η_single, Rep.η_hom, leftUnitor_δ, η_ε, Rep.η_def
μ 📖CompOp
12 mathmath: Rep.μ_hom, μ_apply_single_single, Rep.μ_def, μ_comp_assoc, μ_comp_rTensor, μ_δ, μ_comp_lTensor, μ_toLinearMap, μ_leftUnitor, μ_rightUnitor, δ_μ, μ_apply_apply

Theorems

NameKindAssumesProvesValidatesDepends On
assoc_comp_δ 📖mathematicalRepresentation.IntertwiningMap.comp
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.linearize
Representation.tprod
Representation.Equiv.toIntertwiningMap
Representation.TensorProduct.assoc
Representation.IntertwiningMap.rTensor
δ
Representation.IntertwiningMap.lTensor
Representation.linearizeMap
CategoryTheory.Iso.hom
CategoryTheory.MonoidalCategoryStruct.associator
Representation.IntertwiningMap.ext
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
RingHomInvPair.ids
finsuppTensorFinsupp'_symm_single_eq_single_one_tmul
LinearMap.comp.congr_simp
Action.associator_hom_hom
Finsupp.mapDomain_single
lTensor_comp_δ 📖mathematicalRepresentation.IntertwiningMap.comp
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.linearize
Representation.tprod
Representation.IntertwiningMap.lTensor
Representation.linearizeMap
δ
CategoryTheory.MonoidalCategoryStruct.whiskerLeft
Representation.IntertwiningMap.ext
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
δ_apply_single
Representation.linearizeMap_single
leftUnitor_δ 📖mathematicalRepresentation.Equiv.toIntertwiningMap
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.instAddCommMonoid
Semiring.toModule
Finsupp.module
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.linearize
Representation.tprod
Representation.trivial
Representation.Equiv.symm
Representation.TensorProduct.lid
Representation.IntertwiningMap.comp
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Representation.IntertwiningMap.rTensor
η
δ
Representation.linearizeMap
CategoryTheory.Iso.inv
CategoryTheory.MonoidalCategoryStruct.leftUnitor
Representation.IntertwiningMap.ext
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
RingHomInvPair.ids
LinearMap.comp.congr_simp
Action.leftUnitor_inv_hom
Finsupp.mapDomain_single
finsuppTensorFinsupp'_symm_single_eq_single_one_tmul
Finsupp.single_eq_same
rTensor_comp_δ 📖mathematicalRepresentation.IntertwiningMap.comp
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.linearize
Representation.tprod
Representation.IntertwiningMap.rTensor
Representation.linearizeMap
δ
CategoryTheory.MonoidalCategoryStruct.whiskerRight
Representation.IntertwiningMap.ext
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
δ_apply_single
Representation.linearizeMap_single
rightUnitor_δ 📖mathematicalRepresentation.Equiv.toIntertwiningMap
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.linearize
Representation.tprod
Representation.trivial
Representation.Equiv.symm
Representation.TensorProduct.rid
Representation.IntertwiningMap.comp
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Representation.IntertwiningMap.lTensor
η
δ
Representation.linearizeMap
CategoryTheory.Iso.inv
CategoryTheory.MonoidalCategoryStruct.rightUnitor
Representation.IntertwiningMap.ext
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
RingHomInvPair.ids
Representation.linearizeMap_single
Action.rightUnitor_inv_hom
δ_apply_single
Finsupp.single_eq_same
δ_apply_single 📖mathematicalDFunLike.coe
Representation.IntertwiningMap
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.linearize
Representation.tprod
Representation.IntertwiningMap.instFunLike
δ
Finsupp.single
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
TensorProduct.tmul
finsuppTensorFinsupp'_symm_single_eq_single_one_tmul
δ_μ 📖mathematicalRepresentation.IntertwiningMap.comp
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.linearize
δ
μ
Representation.IntertwiningMap.id
Representation.IntertwiningMap.ext
TensorProduct.AlgebraTensorModule.curry_injective
Finsupp.isScalarTower
IsScalarTower.right
TensorProduct.isScalarTower
Finsupp.lhom_ext'
IsScalarTower.to_smulCommClass
LinearMap.ext_ring
RingHomCompTriple.ids
RingHomInvPair.ids
finsuppTensorFinsupp'_single_tmul_single
mul_one
δ_apply_single
ε_one 📖mathematicalDFunLike.coe
Representation.IntertwiningMap
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.instAddCommMonoid
Semiring.toModule
Finsupp.module
Representation.trivial
Representation.linearize
Representation.IntertwiningMap.instFunLike
ε
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Finsupp.single
Finsupp.LinearEquiv.finsuppUnique_symm_apply
ε_toLinearMap 📖mathematicalRepresentation.IntertwiningMap.toLinearMap
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.instAddCommMonoid
Semiring.toModule
Finsupp.module
Representation.trivial
Representation.linearize
ε
LinearEquiv.toLinearMap
RingHom.id
RingHomInvPair.ids
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
LinearEquiv.symm
Finsupp.LinearEquiv.finsuppUnique
PUnit.instUnique
ε_η 📖mathematicalRepresentation.IntertwiningMap.comp
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
Representation.linearize
Representation.trivial
ε
η
Representation.IntertwiningMap.id
Representation.IntertwiningMap.ext
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
Finsupp.ext
LinearMap.comp.congr_simp
RingHomInvPair.ids
LinearEquiv.self_trans_symm
η_single 📖mathematicalDFunLike.coe
Representation.IntertwiningMap
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
Representation.linearize
Representation.trivial
Representation.IntertwiningMap.instFunLike
η
Finsupp.single
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Finsupp.single_eq_same
η_toLinearMap 📖mathematicalRepresentation.IntertwiningMap.toLinearMap
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
Representation.linearize
Representation.trivial
η
LinearEquiv.toLinearMap
RingHom.id
RingHomInvPair.ids
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
Finsupp.LinearEquiv.finsuppUnique
PUnit.instUnique
η_ε 📖mathematicalRepresentation.IntertwiningMap.comp
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.instAddCommMonoid
Semiring.toModule
Finsupp.module
Representation.trivial
Representation.linearize
η
ε
Representation.IntertwiningMap.id
Representation.IntertwiningMap.ext
LinearMap.ext_ring
RingHomInvPair.ids
RingHomCompTriple.ids
LinearEquiv.symm_trans_self
μ_apply_apply 📖mathematicalDFunLike.coe
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instFunLike
Representation.IntertwiningMap
TensorProduct
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.linearize
Representation.IntertwiningMap.instFunLike
μ
TensorProduct.tmul
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
finsuppTensorFinsupp'_apply_apply
μ_apply_single_single 📖mathematicalDFunLike.coe
Representation.IntertwiningMap
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.linearize
Representation.IntertwiningMap.instFunLike
μ
TensorProduct.tmul
Finsupp.single
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Finsupp.ext
finsuppTensorFinsupp'_single_tmul_single
μ_comp_assoc 📖mathematicalRepresentation.IntertwiningMap.comp
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
Representation.tprod
Representation.linearize
Representation.linearizeMap
CategoryTheory.Iso.hom
CategoryTheory.MonoidalCategoryStruct.associator
μ
Representation.IntertwiningMap.rTensor
Representation.IntertwiningMap.lTensor
Representation.Equiv.toIntertwiningMap
Representation.TensorProduct.assoc
Representation.IntertwiningMap.ext
TensorProduct.AlgebraTensorModule.curry_injective
TensorProduct.isScalarTower
Finsupp.isScalarTower
IsScalarTower.right
Finsupp.smulCommClass
Algebra.to_smulCommClass
IsScalarTower.to_smulCommClass
LinearMap.instIsScalarTower
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
RingHomInvPair.ids
finsuppTensorFinsupp'_single_tmul_single
mul_one
Action.associator_hom_hom
Representation.linearizeMap_single
μ_comp_lTensor 📖mathematicalRepresentation.IntertwiningMap.comp
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.linearize
μ
Representation.IntertwiningMap.lTensor
Representation.linearizeMap
CategoryTheory.MonoidalCategoryStruct.whiskerLeft
Representation.IntertwiningMap.ext
TensorProduct.AlgebraTensorModule.curry_injective
Finsupp.isScalarTower
IsScalarTower.right
Finsupp.lhom_ext'
IsScalarTower.to_smulCommClass
LinearMap.ext_ring
RingHomCompTriple.ids
Representation.linearizeMap_single
finsuppTensorFinsupp'_single_tmul_single
mul_one
RingHomInvPair.ids
μ_comp_rTensor 📖mathematicalRepresentation.IntertwiningMap.comp
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.linearize
μ
Representation.IntertwiningMap.rTensor
Representation.linearizeMap
CategoryTheory.MonoidalCategoryStruct.whiskerRight
Representation.IntertwiningMap.ext
TensorProduct.AlgebraTensorModule.curry_injective
Finsupp.isScalarTower
IsScalarTower.right
Finsupp.lhom_ext'
IsScalarTower.to_smulCommClass
LinearMap.ext_ring
RingHomCompTriple.ids
Finsupp.ext
Representation.linearizeMap_single
finsuppTensorFinsupp'_single_tmul_single
mul_one
RingHomInvPair.ids
μ_leftUnitor 📖mathematicalRepresentation.Equiv.toIntertwiningMap
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.instAddCommMonoid
Semiring.toModule
Finsupp.module
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.trivial
Representation.linearize
Representation.TensorProduct.lid
Representation.IntertwiningMap.comp
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
CategoryTheory.MonoidalCategoryStruct.tensorObj
Representation.linearizeMap
CategoryTheory.Iso.hom
CategoryTheory.MonoidalCategoryStruct.leftUnitor
μ
Representation.IntertwiningMap.rTensor
ε
Representation.IntertwiningMap.ext
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Finsupp.isScalarTower
LinearMap.ext_ring
IsScalarTower.to_smulCommClass
Finsupp.lhom_ext'
RingHomCompTriple.ids
one_smul
RingHomInvPair.ids
Finsupp.LinearEquiv.finsuppUnique_symm_apply
finsuppTensorFinsupp'_single_tmul_single
mul_one
Action.leftUnitor_hom_hom
Representation.linearizeMap_single
μ_rightUnitor 📖mathematicalRepresentation.Equiv.toIntertwiningMap
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.linearize
Representation.trivial
Representation.TensorProduct.rid
Representation.IntertwiningMap.comp
CategoryTheory.MonoidalCategoryStruct.tensorUnit
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
CategoryTheory.MonoidalCategoryStruct.tensorObj
Representation.linearizeMap
CategoryTheory.Iso.hom
CategoryTheory.MonoidalCategoryStruct.rightUnitor
μ
Representation.IntertwiningMap.lTensor
ε
Representation.IntertwiningMap.ext
TensorProduct.AlgebraTensorModule.curry_injective
Finsupp.isScalarTower
IsScalarTower.right
Finsupp.lhom_ext'
IsScalarTower.to_smulCommClass
LinearMap.ext_ring
RingHomCompTriple.ids
Finsupp.ext
one_smul
RingHomInvPair.ids
LinearMap.comp.congr_simp
Action.rightUnitor_hom_hom
Finsupp.LinearEquiv.finsuppUnique_symm_apply
finsuppTensorFinsupp'_single_tmul_single
mul_one
Finsupp.mapDomain_single
CategoryTheory.rightUnitor_hom_apply
μ_toLinearMap 📖mathematicalRepresentation.IntertwiningMap.toLinearMap
TensorProduct
Finsupp
Action.V
CategoryTheory.types
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.tprod
Representation.linearize
μ
LinearEquiv.toLinearMap
RingHom.id
finsuppTensorFinsupp'
μ_δ 📖mathematicalRepresentation.IntertwiningMap.comp
Finsupp
Action.V
CategoryTheory.types
CategoryTheory.MonoidalCategoryStruct.tensorObj
Action
Action.instCategory
CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct
Action.instMonoidalCategory
CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory
CategoryTheory.CartesianMonoidalCategory.toSemiCartesianMonoidalCategory
CategoryTheory.typesCartesianMonoidalCategory
MulZeroClass.toZero
NonUnitalNonAssocSemiring.toMulZeroClass
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
Finsupp.instAddCommMonoid
NonUnitalNonAssocSemiring.toAddCommMonoid
Finsupp.module
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
Representation.linearize
Representation.tprod
μ
δ
Representation.IntertwiningMap.id
Representation.IntertwiningMap.ext
Finsupp.lhom_ext'
LinearMap.ext_ring
RingHomCompTriple.ids
Finsupp.ext
δ_apply_single
finsuppTensorFinsupp'_single_tmul_single
mul_one

(root)

Definitions

NameCategoryTheorems
Action 📖CompData
267 mathmath: Action.resCongr_inv, Action.forget_η, DiscreteContAction.instDiscreteTopologyCarrierObjTopCatForget₂ContinuousMap, Action.instIsEquivalenceFunctorSingleObjInverse, Rep.μ_hom, Action.leftRegularTensorIso_inv_hom, Action.neg_hom, ContinuousCohomology.I_obj_V_isAddCommGroup, Action.inv_hom_hom_assoc, Action.sum_hom, ContinuousCohomology.I_obj_V_carrier, CategoryTheory.FintypeCat.instFiberFunctorActionFintypeCatForget, Representation.LinearizeMonoidal.ε_η, Action.diagonalSuccIsoTensorDiagonal_inv_hom, CategoryTheory.Functor.mapAction_δ_hom, Action.Functor.mapActionPreservesLimitsOfShapeOfPreserves, Action.tensorObj_V, Action.functorCategoryEquivalence_inverse, Action.instHasLimits, Action.FunctorCategoryEquivalence.counitIso_inv_app_app, Action.functorCategoryEquivalence_unitIso, Action.leftUnitor_inv_hom, Action.comp_hom, Action.instHasFiniteProducts, Action.rightDual_ρ, Action.instHasFiniteCoproducts, Action.whiskerRight_hom, Rep.ε_def, CategoryTheory.Functor.mapContActionCongr_inv, CategoryTheory.Functor.mapActionComp_hom, Action.FunctorCategoryEquivalence.functor_obj_obj, Action.instReflectsLimitsOfShapeForget, CategoryTheory.FintypeCat.instFiberFunctorActionFintypeCatForget₂HomSubtypeHomObjFiniteV, Representation.LinearizeMonoidal.μ_apply_single_single, Rep.μ_def, Action.Functor.mapActionPreservesLimit_of_preserves, CategoryTheory.PreGaloisCategory.instEssSurjContActionFintypeCatHomObjFiniteAutFunctorFunctorToContActionOfFiberFunctor, Action.forget₂_preservesZeroMorphisms, Action.smul_hom, CategoryTheory.Functor.mapContActionComp_inv, Action.forget_preservesZeroMorphisms, Rep.ActionToRep_obj_ρ, CategoryTheory.Functor.mapContActionCongr_hom, Action.FunctorCategoryEquivalence.unitIso_inv_app_hom, CategoryTheory.Functor.mapActionComp_inv, Action.FunctorCategoryEquivalence.functor_map_app, CategoryTheory.PreGaloisCategory.instFullContActionFintypeCatHomObjFiniteAutFunctorFunctorToContAction, ContinuousCohomology.I_obj_ρ_apply, Rep.ActionToRep_obj_V, Action.instPreservesColimitForgetOfHasColimitComp, Action.FunctorCategoryEquivalence.functor_δ, ContAction.resEquiv_inverse, Representation.LinearizeMonoidal.μ_comp_assoc, Action.hom_inv_hom, CategoryTheory.PreGaloisCategory.instFaithfulActionFintypeCatAutFunctorFunctorToAction, CategoryTheory.FintypeCat.instMonoActionFintypeCatImageComplementIncl, ContinuousCohomology.instLinearActionTopModuleCatInvariants, CategoryTheory.PreGaloisCategory.instEssSurjContActionFintypeCatHomObjFiniteAutFunctorFunctorToContAction, Action.Functor.mapActionPreservesColimit_of_preserves, Action.isIso_of_hom_isIso, Action.mkIso_hom_hom, Action.preservesColimits_forget, Rep.δ_def, CategoryTheory.PreGaloisCategory.functorToContAction_map, CategoryTheory.Equivalence.mapAction_functor, Action.resId_inv_app_hom, ContinuousCohomology.I_obj_V_isModule, CategoryTheory.PreGaloisCategory.instPreservesIsConnectedActionFintypeCatAutFunctorFunctorToAction, Representation.LinearizeMonoidal.ε_one, Representation.LinearizeMonoidal.μ_comp_rTensor, Action.instIsIsoHomInv, CategoryTheory.Equivalence.mapContAction_functor, Action.tensorUnit_ρ, Action.functorCategoryEquivalence_functor, Representation.LinearizeMonoidal.μ_δ, Rep.RepToAction_map_hom, Action.Functor.instPreservesFiniteLimitsMapActionOfHasFiniteLimits, CategoryTheory.PreGaloisCategory.exists_lift_of_continuous, CategoryTheory.Functor.mapAction_η_hom, CategoryTheory.Functor.mapContAction_map, Action.instPreservesFiniteLimitsForgetOfHasFiniteLimits, CategoryTheory.PreGaloisCategory.instIsPretransitiveAutObjFiniteVFintypeCatFunctorObjActionFunctorToActionOfIsGalois, CategoryTheory.Functor.mapAction_obj_ρ_apply, Action.FintypeCat.toEndHom_apply, ContAction.resCongr_hom, ContinuousCohomology.instAdditiveActionTopModuleCatInvariants, Action.nsmul_hom, Action.instFaithfulForget, classifyingSpaceUniversalCover_map, Action.diagonalSuccIsoTensorTrivial_inv_hom_apply, Action.preservesLimitsOfShape_of_preserves, CategoryTheory.PreGaloisCategory.exists_lift_of_mono_of_isConnected, CategoryTheory.Functor.mapAction_linear, CategoryTheory.FintypeCat.instGaloisCategoryActionFintypeCat, Action.instIsEquivalenceFunctorSingleObjFunctor, Action.res_additive, Action.forget_δ, ContinuousCohomology.MultiInd.d_comp_d_assoc, Action.FunctorCategoryEquivalence.inverse_obj_ρ_apply, Representation.LinearizeMonoidal.η_toLinearMap, Action.hasLimitsOfShape, ContAction.res_obj_obj, Action.id_hom, Rep.RepToAction_obj_V_isAddCommGroup, Action.sub_hom, CategoryTheory.PreGaloisCategory.instPreservesColimitsOfShapeActionFintypeCatAutFunctorSingleObjFunctorToActionOfFinite, Action.hasColimitsOfShape, Action.preservesLimits_forget, CategoryTheory.Functor.mapAction_ε_hom, CategoryTheory.Functor.mapAction_obj_V, Action.instPreservesLimitForgetOfHasLimitComp, Action.res_obj_V, Action.forget_obj, Action.rightDual_v, ContAction.resComp_hom, Representation.LinearizeMonoidal.assoc_comp_δ, CategoryTheory.Functor.mapAction_preadditive, Action.leftRegularTensorIso_hom_hom, Action.preservesColimitsOfSize_of_preserves, ContinuousCohomology.I_map_hom, Rep.ActionToRep_map, CategoryTheory.Functor.mapAction_μ_hom, Action.FintypeCat.quotientToEndHom_mk, CategoryTheory.Functor.instFullActionMapActionOfFaithful, Action.forget_additive, Representation.LinearizeMonoidal.rTensor_comp_δ, Rep.RepToAction_obj_V_carrier, Rep.RepToAction_obj_V_isModule, Action.zero_hom, Representation.LinearizeMonoidal.μ_comp_lTensor, Representation.LinearizeMonoidal.rightUnitor_δ, Rep.δ_hom, Action.Functor.instPreservesFiniteColimitsMapActionOfHasFiniteColimits, Action.instPreservesFiniteColimitsForgetOfHasFiniteColimits, ContAction.resEquiv_functor, Representation.LinearizeMonoidal.η_single, Action.res_map_hom, Rep.linearization_obj_ρ, Action.instIsIsoHomHom, Action.instReflectsColimitsForget, CategoryTheory.PreGaloisCategory.functorToAction_map, Action.instReflectsColimitsOfShapeForget, Rep.ε_hom, Action.instPreservesLimitsOfShapeForgetOfHasLimitsOfShape, Action.add_hom, Action.instHasFiniteColimits, CategoryTheory.FintypeCat.Action.isConnected_iff_transitive, CategoryTheory.Functor.mapActionCongr_inv, CategoryTheory.PreGaloisCategory.instPreservesFiniteCoproductsActionFintypeCatAutFunctorFunctorToAction, Action.tensor_ρ_apply, Rep.instIsEquivalenceActionModuleCatRepToAction, Action.functorCategoryEquivalence_counitIso, Action.forget_ε, Action.FunctorCategoryEquivalence.inverse_obj_V, Action.resComp_inv_app_hom, Rep.η_hom, Representation.LinearizeMonoidal.leftUnitor_δ, Rep.RepToAction_obj_ρ, Action.FunctorCategoryEquivalence.unitIso_hom_app_hom, Action.hom_inv_hom_assoc, Action.tensorHom_hom, Action.inv_hom_hom, Action.associator_hom_hom, Action.res_obj_ρ, CategoryTheory.PreGaloisCategory.instPreservesMonomorphismsActionFintypeCatAutFunctorFunctorToAction, Action.Functor.preservesLimitsOfSize_of_preserves, Rep.linearization_map, Action.full_res, Action.instReflectsLimitsForget, CategoryTheory.PreGaloisCategory.has_decomp_quotients, CategoryTheory.Functor.mapActionCongr_hom, Representation.LinearizeMonoidal.η_ε, Representation.LinearizeMonoidal.lTensor_comp_δ, Action.mkIso_inv_hom, Representation.LinearizeMonoidal.δ_apply_single, Action.FunctorCategoryEquivalence.inverse_map_hom, ContAction.resCongr_inv, Action.whiskerLeft_hom, Rep.linearization_obj_V, Action.zsmul_hom, CategoryTheory.PreGaloisCategory.instReflectsIsomorphismsActionFintypeCatAutFunctorFunctorToAction, Action.preservesLimitsOfSize_of_preserves, Rep.η_def, Representation.LinearizeMonoidal.μ_toLinearMap, Representation.LinearizeMonoidal.μ_leftUnitor, Action.FunctorCategoryEquivalence.counitIso_hom_app_app, ContinuousCohomology.instLinearActionTopModuleCatI, Representation.LinearizeMonoidal.μ_rightUnitor, Action.tensorUnit_V, ContinuousCohomology.I_obj_V_topologicalSpace, Action.instMonoidalPreadditive, Representation.LinearizeMonoidal.δ_μ, Action.FunctorCategoryEquivalence.functor_μ, CategoryTheory.Equivalence.mapContAction_inverse, Action.tensor_ρ, ContinuousCohomology.MultiInd.d_comp_d, CategoryTheory.Functor.mapContActionComp_hom, Action.resEquiv_inverse, Action.Functor.preservesColimitsOfSize_of_preserves, Action.β_inv_hom, Action.forget_linear, CategoryTheory.PreGaloisCategory.exists_lift_of_mono, Action.diagonalSuccIsoTensorDiagonal_hom_hom, Action.resId_hom_app_hom, Action.instHasColimits, Action.rightUnitor_hom_hom, Action.forget_μ, Action.diagonalSuccIsoTensorTrivial_hom_hom_apply, Action.leftDual_v, CategoryTheory.PreGaloisCategory.functorToContAction_obj_obj, CategoryTheory.PreGaloisCategory.instIsEquivalenceContActionFintypeCatHomObjFiniteAutFunctorFunctorToContAction, Action.isContinuous_def, CategoryTheory.Functor.mapAction_map_hom, Action.Functor.mapActionPreservesColimitsOfShapeOfPreserves, Action.associator_inv_hom, Action.resEquiv_functor, Rep.RepToAction_obj, Action.leftDual_ρ, Action.instFaithfulRes, Rep.instIsEquivalenceActionModuleCatActionToRep, Action.functorCategoryEquivalence_linear, CategoryTheory.PreGaloisCategory.exists_lift_of_quotient_openSubgroup, Action.instReflectsLimitForget, CategoryTheory.FintypeCat.instPreGaloisCategoryActionFintypeCat, Action.functorCategoryEquivalence_preservesZeroMorphisms, Action.Iso.conj_ρ, Action.preservesColimit_of_preserves, Action.rightUnitor_inv_hom, Action.res_linear, Action.instPreservesColimitsOfShapeForgetOfHasColimitsOfShape, CategoryTheory.FintypeCat.instPreservesFiniteLimitsActionFintypeCatForgetHomSubtypeHomObjFiniteV, Representation.LinearizeMonoidal.μ_apply_apply, ContinuousCohomology.MultiInd.d_succ, Action.instMonoidalLinear, Action.resComp_hom_app_hom, Action.functorCategoryEquivalence_additive, Action.preservesColimitsOfShape_of_preserves, CategoryTheory.PreGaloisCategory.instFaithfulContActionFintypeCatHomObjFiniteAutFunctorFunctorToContAction, Action.forget₂_linear, Action.isIso_hom_mk, Action.FunctorCategoryEquivalence.functor_obj_map, CategoryTheory.PreGaloisCategory.instReflectsMonomorphismsActionFintypeCatAutFunctorFunctorToAction, CategoryTheory.Functor.mapContAction_obj_obj, Action.comp_hom_assoc, ContinuousCohomology.const_app_hom, ContAction.resComp_inv, Action.instHasFiniteLimits, ContAction.res_map, CategoryTheory.Equivalence.mapAction_inverse, Action.resCongr_hom, Action.β_hom_hom, CategoryTheory.FintypeCat.Action.isConnected_of_transitive, Action.instReflectsColimitForget, CategoryTheory.PreGaloisCategory.functorToAction_full, Action.leftUnitor_hom_hom, Action.FunctorCategoryEquivalence.functor_η, ContinuousCohomology.instAdditiveActionTopModuleCatI, Action.forget₂_additive, Action.forget_map, classifyingSpaceUniversalCover_obj, Action.FintypeCat.toEndHom_trivial_of_mem, CategoryTheory.Functor.instFaithfulActionMapAction, Representation.LinearizeMonoidal.ε_toLinearMap, Action.FunctorCategoryEquivalence.functor_ε, CategoryTheory.PreGaloisCategory.instPreservesFiniteProductsActionFintypeCatAutFunctorFunctorToAction, Action.preservesLimit_of_preserves, CategoryTheory.PreGaloisCategory.functorToAction_comp_forget₂_eq

---

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