Documentation Verification Report

Tower

📁 Source: Mathlib/LinearAlgebra/TensorProduct/Tower.lean

Statistics

MetricCount
DefinitionsbaseChange, baseChange, baseChangeHom, baseChangeHom, baseChange, assoc, cancelBaseChange, curry, distribBaseChange, homTensorHomMap, lTensor, lcurry, leftComm, equiv, map, mapBilinear, mk, rTensor, rid, rightComm, tensorTensorTensorComm, uncurry
22
TheoremsbaseChange_inv, baseChange_mul, baseChange_one, baseChange_pow, baseChange_symm, baseChange_tmul, baseChange_trans, baseChange_zpow, coe_baseChange, baseChangeHom_apply, baseChange_add, baseChange_baseChange, baseChange_comp, baseChange_eq_ltensor, baseChange_id, baseChange_mul, baseChange_neg, baseChange_one, baseChange_pow, baseChange_smul, baseChange_sub, baseChange_tmul, baseChange_zero, rTensor_baseChange, baseChangeHom_apply_apply, baseChange_bot, baseChange_eq_span, baseChange_span, baseChange_top, tmul_mem_baseChange_of_mem, assoc_eq, assoc_symm_tmul, assoc_tmul, cancelBaseChange_symm_tmul, cancelBaseChange_tmul, coe_lTensor, coe_rTensor, congr_eq, congr_mul, congr_one, congr_refl, congr_symm, congr_symm_tmul, congr_tmul, congr_trans, curry_apply, curry_injective, curry_injective_iff, ext, homTensorHomMap_apply, lTensor_comp, lTensor_comp_cancelBaseChange, lTensor_id, lTensor_mul, lTensor_one, lTensor_tmul, lcurry_apply, leftComm_eq, leftComm_symm_tmul, leftComm_tmul, lift_apply, lift_tmul, mapBilinear_apply, map_add_left, map_add_right, map_comp, map_eq, map_id, map_mul, map_one, map_smul_left, map_smul_right, map_tmul, mk_apply, rTensor_comp, rTensor_id, rTensor_mul, rTensor_one, rTensor_tensor, rTensor_tmul, restrictScalars_curry, restrictScalars_lTensor, restrictScalars_rTensor, rid_eq_rid, rid_symm_apply, rid_tmul, rightComm_eq, rightComm_symm, rightComm_symm_tmul, rightComm_tmul, smul_eq_lsmul_rTensor, tensorTensorTensorComm_eq, tensorTensorTensorComm_symm, tensorTensorTensorComm_symm_tmul, tensorTensorTensorComm_tmul, uncurry_apply
96
Total118

LinearEquiv

Definitions

NameCategoryTheorems
baseChange 📖CompOp
17 mathmath: coe_baseChange, Algebra.Extension.lTensor_cotangentComplex_eq_cotangentComplexBaseChange, det_baseChange, Algebra.TensorProduct.equivFinsuppOfBasis_symm_apply, baseChange_mul, baseChange_tmul, Algebra.Extension.cotangentComplexBaseChange_eq_lTensor_cotangentComplex, baseChange_zpow, baseChange_inv, dilatransvection.baseChange, Algebra.TensorProduct.equivPiOfFiniteBasis_symm_apply, transvection.baseChange, baseChange_pow, baseChange_symm, baseChange_one, SpecialLinearGroup.baseChange_apply_coe, baseChange_trans

Theorems

NameKindAssumesProvesValidatesDepends On
baseChange_inv 📖mathematicalbaseChange
LinearEquiv
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
InvOneClass.toInv
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
automorphismGroup
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
RingHomInvPair.ids
baseChange_symm
baseChange_mul 📖mathematicalbaseChange
LinearEquiv
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
MulOne.toMul
MulOneClass.toMulOne
Monoid.toMulOneClass
DivInvMonoid.toMonoid
Group.toDivInvMonoid
automorphismGroup
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
RingHomInvPair.ids
Algebra.to_smulCommClass
RingHomCompTriple.ids
baseChange_trans
baseChange_one 📖mathematicalbaseChange
LinearEquiv
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
automorphismGroup
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
ext
Algebra.to_smulCommClass
RingHomInvPair.ids
LinearMap.baseChange_id
baseChange_pow 📖mathematicalbaseChange
LinearEquiv
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
Monoid.toNatPow
DivInvMonoid.toMonoid
Group.toDivInvMonoid
automorphismGroup
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
RingHomInvPair.ids
Algebra.to_smulCommClass
pow_zero
baseChange_one
pow_succ
baseChange_mul
baseChange_symm 📖mathematicalbaseChange
symm
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
RingHomInvPair.ids
ext
Algebra.to_smulCommClass
eq_symm_apply
RingHomCompTriple.ids
symm_trans_self
LinearMap.lTensor_id
baseChange_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
EquivLike.toFunLike
instEquivLike
baseChange
TensorProduct.tmul
CommSemiring.toSemiring
RingHomInvPair.ids
Algebra.to_smulCommClass
baseChange_trans 📖mathematicalbaseChange
trans
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomCompTriple.ids
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
RingHomInvPair.ids
ext
Algebra.to_smulCommClass
RingHomCompTriple.ids
LinearMap.lTensor_comp_apply
baseChange_zpow 📖mathematicalbaseChange
LinearEquiv
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
DivInvMonoid.toZPow
Group.toDivInvMonoid
automorphismGroup
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
RingHomInvPair.ids
Int.induction_on
Algebra.to_smulCommClass
zpow_zero
baseChange_one
zpow_add_one
baseChange_mul
zpow_sub_one
baseChange_inv
coe_baseChange 📖mathematicaltoLinearMap
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
baseChange
LinearMap.baseChange
CommSemiring.toSemiring
RingHomInvPair.ids
Algebra.to_smulCommClass

LinearMap

Definitions

NameCategoryTheorems
baseChange 📖CompOp
36 mathmath: baseChange_eq_ltensor, baseChange_smul, baseChange_comp, LinearEquiv.coe_baseChange, baseChange_baseChange, toMatrix_baseChange, Algebra.Extension.lTensor_cotangentComplex_eq_cotangentComplexBaseChange, det_baseChange, baseChange_one, baseChange_pow, polyCharpoly_baseChange, Algebra.TensorProduct.equivFinsuppOfBasis_apply, toMvPolynomial_baseChange, Algebra.Extension.cotangentComplexBaseChange_eq_lTensor_cotangentComplex, Algebra.Generators.H1Cotangent.δAux_ofComp, Module.Basis.baseChange_end, rTensor_baseChange, polyCharpolyAux_baseChange, baseChange_sub, baseChange_neg, baseChange_zero, polyCharpolyAux_map_aeval, Algebra.Generators.H1Cotangent.δ_eq, LieModule.toEnd_baseChange, Algebra.baseChange_lmul, baseChange_tmul, transvection.baseChange, Algebra.TensorProduct.equivPiOfFiniteBasis_apply, baseChange_mul, baseChange_id, Algebra.Generators.H1Cotangent.map_comp_cotangentComplex_baseChange, trace_baseChange, charpoly_baseChange, baseChange_add, baseChangeHom_apply, Module.Basis.baseChange_linearMap
baseChangeHom 📖CompOp
3 mathmath: tensorProductEnd_apply, tensorProduct_apply, baseChangeHom_apply

Theorems

NameKindAssumesProvesValidatesDepends On
baseChangeHom_apply 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
addCommMonoid
module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
IsScalarTower.right
instFunLike
baseChangeHom
baseChange
Algebra.to_smulCommClass
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
IsScalarTower.right
baseChange_add 📖mathematicalbaseChange
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
instAdd
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
ext_ring
IsScalarTower.to_smulCommClass
ext
lTensor_add
baseChange_baseChange 📖mathematicalbaseChange
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
comp
RingHom.id
RingHomCompTriple.ids
LinearEquiv.toLinearMap
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
IsScalarTower.right
LinearEquiv.symm
TensorProduct.AlgebraTensorModule.cancelBaseChange
TensorProduct.AlgebraTensorModule.curry_injective
Algebra.to_smulCommClass
IsScalarTower.right
TensorProduct.isScalarTower_left
RingHomCompTriple.ids
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
ext_ring
IsScalarTower.to_smulCommClass'
TensorProduct.isScalarTower
ext
one_smul
baseChange_comp 📖mathematicalbaseChange
comp
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomCompTriple.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
RingHomCompTriple.ids
ext_ring
IsScalarTower.to_smulCommClass
ext
baseChange_eq_ltensor 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
instFunLike
baseChange
CommSemiring.toSemiring
TensorProduct.instModule
lTensor
Algebra.to_smulCommClass
baseChange_id 📖mathematicalbaseChange
id
CommSemiring.toSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
ext_ring
IsScalarTower.to_smulCommClass
ext
baseChange_mul 📖mathematicalbaseChange
Module.End
CommSemiring.toSemiring
Module.End.instMul
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
ext_ring
IsScalarTower.to_smulCommClass
ext
baseChange_neg 📖mathematicalbaseChange
CommRing.toCommSemiring
Ring.toSemiring
AddCommGroup.toAddCommMonoid
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
instNeg
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.addCommGroup
Ring.toAddCommGroup
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
ext_ring
IsScalarTower.to_smulCommClass
ext
TensorProduct.tmul_neg
baseChange_one 📖mathematicalbaseChange
Module.End
CommSemiring.toSemiring
Module.End.instOne
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
baseChange_id
baseChange_pow 📖mathematicalbaseChange
Module.End
CommSemiring.toSemiring
Monoid.toNatPow
Module.End.instMonoid
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
map_pow
Algebra.to_smulCommClass
smulCommClass_self
IsScalarTower.left
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
IsScalarTower.right
TensorProduct.isScalarTower_left
MonoidWithZeroHomClass.toMonoidHomClass
RingHomClass.toMonoidWithZeroHomClass
AlgHomClass.toRingHomClass
AlgHom.algHomClass
baseChange_smul 📖mathematicalbaseChange
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
instSMul
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.instDistribMulAction
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
IsScalarTower.right
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
ext_ring
IsScalarTower.to_smulCommClass
ext
TensorProduct.tmul_smul
TensorProduct.CompatibleSMul.isScalarTower
IsScalarTower.left
baseChange_sub 📖mathematicalbaseChange
CommRing.toCommSemiring
Ring.toSemiring
AddCommGroup.toAddCommMonoid
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
instSub
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.addCommGroup
Ring.toAddCommGroup
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
ext_ring
IsScalarTower.to_smulCommClass
ext
TensorProduct.tmul_sub
baseChange_tmul 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
instFunLike
baseChange
TensorProduct.tmul
CommSemiring.toSemiring
Algebra.to_smulCommClass
baseChange_zero 📖mathematicalbaseChange
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
instZero
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
TensorProduct.AlgebraTensorModule.curry_injective
IsScalarTower.right
Algebra.to_smulCommClass
TensorProduct.isScalarTower_left
ext_ring
IsScalarTower.to_smulCommClass
ext
TensorProduct.tmul_zero
rTensor_baseChange 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.instModule
instFunLike
rTensor
AlgHom.toLinearMap
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
baseChange
Algebra.to_smulCommClass
RingHomCompTriple.ids
rTensor_comp_lTensor
lTensor_comp_rTensor

Module.End

Definitions

NameCategoryTheorems
baseChangeHom 📖CompOp
1 mathmath: baseChangeHom_apply_apply

Theorems

NameKindAssumesProvesValidatesDepends On
baseChangeHom_apply_apply 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
LinearMap.instFunLike
AlgHom
Module.End
CommSemiring.toSemiring
instSemiring
instAlgebra
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
Algebra.toSMul
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
TensorProduct.instModule
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
IsScalarTower.right
TensorProduct.isScalarTower_left
AlgHom.funLike
baseChangeHom
AddMonoidHom
AddZeroClass.toAddZero
TensorProduct.addZeroClass
AddMonoid.toAddZeroClass
AddMonoidHom.instFunLike
TensorProduct.liftAux
LinearMap.comp
LinearMap.addCommMonoid
LinearMap.module
RingHomCompTriple.ids
LinearMap.restrictScalars
IsScalarTower.to_smulCommClass
LinearMap.IsScalarTower.compatibleSMul
SMulZeroClass.toSMul
AddZero.toZero
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
LinearMap.instIsScalarTower
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
LinearMap.IsScalarTower.compatibleSMul'
Algebra.to_smulCommClass
smulCommClass_self
IsScalarTower.left
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
IsScalarTower.right
TensorProduct.isScalarTower_left

Submodule

Definitions

NameCategoryTheorems
baseChange 📖CompOp
6 mathmath: baseChange_bot, baseChange_eq_span, tmul_mem_baseChange_of_mem, baseChange_top, baseChange_span, LieSubmodule.coe_baseChange

Theorems

NameKindAssumesProvesValidatesDepends On
baseChange_bot 📖mathematicalbaseChange
Bot.bot
Submodule
CommSemiring.toSemiring
instBot
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
Algebra.to_smulCommClass
RingHomSurjective.ids
TensorProduct.smulCommClass_left
smulCommClass_self
baseChange_eq_span
map_bot
span_zero_singleton
baseChange_eq_span 📖mathematicalbaseChange
span
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
SetLike.coe
Submodule
CommSemiring.toSemiring
TensorProduct.instModule
setLike
map
RingHom.id
RingHomSurjective.ids
DFunLike.coe
LinearMap
LinearMap.addCommMonoid
LinearMap.module
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
LinearMap.instFunLike
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
le_antisymm
Algebra.to_smulCommClass
RingHomSurjective.ids
TensorProduct.smulCommClass_left
smulCommClass_self
baseChange.eq_1
LinearMap.range_le_iff_comap
eq_top_iff
span_eq_top_of_span_eq_top
TensorProduct.isScalarTower_left
IsScalarTower.right
TensorProduct.span_tmul_eq_top
span_le
SetLike.mem_coe
mem_comap
LinearMap.baseChange_tmul
mul_one
smul_eq_mul
TensorProduct.smul_tmul'
smul_mem
subset_span
baseChange_span 📖mathematicalbaseChange
span
CommSemiring.toSemiring
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
Set.image
DFunLike.coe
LinearMap
RingHom.id
TensorProduct.instModule
LinearMap.instFunLike
LinearMap.addCommMonoid
LinearMap.module
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Algebra.to_smulCommClass
TensorProduct.smulCommClass_left
smulCommClass_self
RingHomSurjective.ids
baseChange_eq_span
map_span
span_span_of_tower
TensorProduct.isScalarTower_left
IsScalarTower.right
baseChange_top 📖mathematicalbaseChange
Top.top
Submodule
CommSemiring.toSemiring
instTop
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
Algebra.to_smulCommClass
eq_top_iff
span_eq_top_of_span_eq_top
TensorProduct.isScalarTower_left
IsScalarTower.right
TensorProduct.span_tmul_eq_top
span_le
tmul_mem_baseChange_of_mem
tmul_mem_baseChange_of_mem 📖mathematicalSubmodule
CommSemiring.toSemiring
SetLike.instMembership
setLike
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
baseChange
TensorProduct.tmul
Algebra.to_smulCommClass

TensorProduct.AlgebraTensorModule

Definitions

NameCategoryTheorems
assoc 📖CompOp
6 mathmath: rTensor_tensor, assoc_tmul, assoc_symm_tmul, Algebra.TensorProduct.assoc_toLinearEquiv, Coalgebra.TensorProduct.assoc_toLinearEquiv, assoc_eq
cancelBaseChange 📖CompOp
7 mathmath: LinearMap.baseChange_baseChange, lTensor_comp_cancelBaseChange, Algebra.Extension.lTensor_cotangentComplex_eq_cotangentComplexBaseChange, cancelBaseChange_tmul, Algebra.Extension.cotangentComplexBaseChange_eq_lTensor_cotangentComplex, Module.Dual.baseChange_baseChange, cancelBaseChange_symm_tmul
curry 📖CompOp
5 mathmath: restrictScalars_curry, curry_apply, curry_injective, curry_injective_iff, lcurry_apply
distribBaseChange 📖CompOp
homTensorHomMap 📖CompOp
1 mathmath: homTensorHomMap_apply
lTensor 📖CompOp
19 mathmath: LinearMap.lTensor_ker_subtype_tensorKerEquiv_symm, LinearMap.tensorKer_tmul, Module.Flat.ker_lTensor_eq, LinearMap.tensorEqLocusEquiv_apply, LinearMap.tensorKer_coe, lTensor_comp_cancelBaseChange, lTensor_id, restrictScalars_lTensor, LinearMap.tensorEqLocus_coe, Module.Flat.eqLocus_lTensor_eq, coe_lTensor, lTensor_comp, lTensor_mul, LinearMap.tensorEqLocus_tmul, lTensor_one, LinearMap.tensorKerEquiv_apply, LinearMap.lTensor_eqLocus_subtype_tensoreqLocusEquiv_symm, IsLocalizedModule.map_lTensor, lTensor_tmul
lcurry 📖CompOp
1 mathmath: lcurry_apply
leftComm 📖CompOp
3 mathmath: leftComm_eq, leftComm_tmul, leftComm_symm_tmul
map 📖CompOp
23 mathmath: map_id, Module.endTensorEndAlgHom_apply, map_smul_left, isBaseChange_tensorProduct_map, rTensor_tensor, map_add_left, homTensorHomMap_apply, map_eq, mapBilinear_apply, map_add_right, map_one, map_mul, AdicCompletion.tensor_map_id_left_eq_map, TensorProduct.counit_def, map_smul_right, map_comp, TensorProduct.comul_def, map_tmul, AdicCompletion.ofTensorProduct_naturality, Coalgebra.TensorProduct.map_toLinearMap, TensorProduct.antipode_def, Algebra.TensorProduct.toLinearMap_map, AdicCompletion.tensor_map_id_left_injective_of_injective
mapBilinear 📖CompOp
1 mathmath: mapBilinear_apply
mk 📖CompOp
rTensor 📖CompOp
9 mathmath: rTensor_one, rTensor_comp, rTensor_tmul, IsLocalizedModule.rTensor, restrictScalars_rTensor, rTensor_mul, rTensor_id, coe_rTensor, IsLocalizedModule.map_lTensor
rid 📖CompOp
7 mathmath: rid_symm_apply, rid_tmul, TensorProduct.finsuppScalarRight_apply, rid_eq_rid, TensorProduct.counit_def, Algebra.TensorProduct.rid_toLinearEquiv, Coalgebra.TensorProduct.rid_toLinearEquiv
rightComm 📖CompOp
4 mathmath: rightComm_symm_tmul, rightComm_eq, rightComm_tmul, rightComm_symm
tensorTensorTensorComm 📖CompOp
7 mathmath: tensorTensorTensorComm_symm, tensorTensorTensorComm_eq, Algebra.TensorProduct.tensorTensorTensorComm_toLinearEquiv, TensorProduct.comul_tmul, tensorTensorTensorComm_symm_tmul, TensorProduct.comul_def, tensorTensorTensorComm_tmul
uncurry 📖CompOp
1 mathmath: uncurry_apply

Theorems

NameKindAssumesProvesValidatesDepends On
assoc_eq 📖mathematicalassoc
CommSemiring.toSemiring
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
smulCommClass_self
CommSemiring.toCommMonoid
CommMonoid.toMonoid
TensorProduct.assoc
RingHomInvPair.ids
IsScalarTower.to_smulCommClass'
IsScalarTower.left
IsScalarTower.to_smulCommClass
smulCommClass_self
TensorProduct.smulCommClass_left
assoc_symm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
assoc
TensorProduct.tmul
IsScalarTower.to_smulCommClass'
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
assoc_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass'
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
EquivLike.toFunLike
LinearEquiv.instEquivLike
assoc
TensorProduct.tmul
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
cancelBaseChange_symm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
CommSemiring.toSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
IsScalarTower.to_smulCommClass
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
cancelBaseChange
TensorProduct.tmul
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Algebra.to_smulCommClass
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
cancelBaseChange_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
CommSemiring.toSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
Algebra.to_smulCommClass
IsScalarTower.to_smulCommClass
EquivLike.toFunLike
LinearEquiv.instEquivLike
cancelBaseChange
TensorProduct.tmul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
RingHomInvPair.ids
Algebra.to_smulCommClass
IsScalarTower.to_smulCommClass
coe_lTensor 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
lTensor
LinearMap.lTensor
IsScalarTower.to_smulCommClass
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
coe_rTensor 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
rTensor
LinearMap.rTensor
LinearMap.restrictScalars
LinearMap.IsScalarTower.compatibleSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
Algebra.toSMul
IsScalarTower.to_smulCommClass
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
congr_eq 📖mathematicalcongr
CommSemiring.toSemiring
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.congr
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
IsScalarTower.left
congr_mul 📖mathematicalcongr
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
MulOne.toMul
MulOneClass.toMulOne
Monoid.toMulOneClass
DivInvMonoid.toMonoid
Group.toDivInvMonoid
LinearEquiv.automorphismGroup
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
congr_trans
congr_one 📖mathematicalcongr
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
InvOneClass.toOne
DivInvOneMonoid.toInvOneClass
DivisionMonoid.toDivInvOneMonoid
Group.toDivisionMonoid
LinearEquiv.automorphismGroup
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
congr_refl
congr_refl 📖mathematicalcongr
LinearEquiv.refl
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearEquiv.toLinearMap_injective
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
map_id
congr_symm 📖mathematicalcongr
LinearEquiv.symm
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
congr_symm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
congr
TensorProduct.tmul
CommSemiring.toSemiring
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
congr_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
EquivLike.toFunLike
LinearEquiv.instEquivLike
congr
TensorProduct.tmul
CommSemiring.toSemiring
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
congr_trans 📖mathematicalcongr
LinearEquiv.trans
RingHom.id
Semiring.toNonAssocSemiring
RingHomCompTriple.ids
RingHomInvPair.ids
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
LinearEquiv.toLinearMap_injective
IsScalarTower.to_smulCommClass
RingHomCompTriple.ids
map_comp
curry_apply 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
curry
TensorProduct.curry
LinearMap.restrictScalars
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.instModule
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
curry_injective 📖mathematicalLinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
curry
IsScalarTower.to_smulCommClass
LinearMap.restrictScalars_injective
TensorProduct.curry_injective
smulCommClass_self
LinearMap.IsScalarTower.compatibleSMul
LinearMap.instIsScalarTower
curry_injective_iff 📖mathematicalcurryIsScalarTower.to_smulCommClass
curry_injective
ext 📖DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
TensorProduct.tmul
IsScalarTower.to_smulCommClass
curry_injective
LinearMap.ext₂
homTensorHomMap_apply 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instSMulCommClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
TensorProduct.smulCommClass_left
LinearMap.instFunLike
homTensorHomMap
TensorProduct.tmul
map
IsScalarTower.to_smulCommClass
IsScalarTower.to_smulCommClass'
smulCommClass_self
LinearMap.instSMulCommClass
TensorProduct.smulCommClass_left
lTensor_comp 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
LinearMap.instFunLike
lTensor
LinearMap.comp
RingHomCompTriple.ids
ext
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
RingHomCompTriple.ids
lTensor_comp_cancelBaseChange 📖mathematicalLinearMap.comp
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
Algebra.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
Semiring.toModule
IsScalarTower.to_smulCommClass
IsScalarTower.right
RingHom.id
RingHomCompTriple.ids
DFunLike.coe
LinearMap
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
LinearMap.instFunLike
lTensor
LinearEquiv.toLinearMap
RingHomInvPair.ids
Algebra.to_smulCommClass
cancelBaseChange
curry_injective
IsScalarTower.to_smulCommClass
IsScalarTower.right
TensorProduct.isScalarTower_left
RingHomCompTriple.ids
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
RingHomInvPair.ids
Algebra.to_smulCommClass
LinearMap.ext
LinearMap.ext_ring
one_smul
lTensor_id 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
LinearMap.instFunLike
lTensor
LinearMap.id
ext
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
lTensor_mul 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
LinearMap.instFunLike
lTensor
Module.End.instMul
lTensor_comp
lTensor_one 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
LinearMap.instFunLike
lTensor
Module.End.instOne
map_id
lTensor_tmul 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
lTensor
TensorProduct.tmul
IsScalarTower.to_smulCommClass
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
lcurry_apply 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
LinearMap.instSMulCommClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
LinearMap.instFunLike
lcurry
curry
IsScalarTower.to_smulCommClass
LinearMap.instSMulCommClass
leftComm_eq 📖mathematicalleftComm
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.leftComm
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
IsScalarTower.left
leftComm_symm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
TensorProduct.instModule
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
leftComm
TensorProduct.tmul
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
leftComm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
TensorProduct.instModule
EquivLike.toFunLike
LinearEquiv.instEquivLike
leftComm
TensorProduct.tmul
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
lift_apply 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
lift
CommSemiring.toSemiring
TensorProduct.instModule
TensorProduct.lift
LinearMap.restrictScalars
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
LinearMap.IsScalarTower.compatibleSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Algebra.toSMul
LinearMap.instIsScalarTower
IsScalarTower.to_smulCommClass
lift_tmul 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
lift
TensorProduct.tmul
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass
mapBilinear_apply 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
IsScalarTower.to_smulCommClass'
LinearMap.instFunLike
LinearMap.instSMulCommClass
DistribMulAction.toDistribSMul
mapBilinear
map
IsScalarTower.to_smulCommClass
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
LinearMap.instSMulCommClass
map_add_left 📖mathematicalmap
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
LinearMap.instAdd
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
curry_injective
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
LinearMap.ext
TensorProduct.add_tmul
map_add_right 📖mathematicalmap
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
LinearMap.instAdd
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
curry_injective
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
LinearMap.ext
TensorProduct.tmul_add
map_comp 📖mathematicalmap
LinearMap.comp
RingHom.id
Semiring.toNonAssocSemiring
RingHomCompTriple.ids
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
ext
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
RingHomCompTriple.ids
map_eq 📖mathematicalmap
CommSemiring.toSemiring
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.map
RingHom.id
Semiring.toNonAssocSemiring
IsScalarTower.to_smulCommClass
IsScalarTower.left
map_id 📖mathematicalmap
LinearMap.id
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
ext
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
map_mul 📖mathematicalmap
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Module.End.instMul
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
map_comp
map_one 📖mathematicalmap
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Module.End.instOne
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
map_id
map_smul_left 📖mathematicalmap
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
LinearMap.instSMul
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
TensorProduct.leftDistribMulAction
TensorProduct.smulCommClass_left
curry_injective
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
TensorProduct.smulCommClass_left
LinearMap.ext
map_smul_right 📖mathematicalmap
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
LinearMap.instSMul
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
TensorProduct.instDistribMulAction
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
curry_injective
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
LinearMap.ext
TensorProduct.tmul_smul
TensorProduct.CompatibleSMul.isScalarTower
IsScalarTower.left
map_tmul 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
map
TensorProduct.tmul
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
mk_apply 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.instModule
LinearMap.addCommMonoid
LinearMap.module
TensorProduct.leftModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
LinearMap.instFunLike
AddCommMagma.toAdd
AddCommSemigroup.toAddCommMagma
AddCommMonoid.toAddCommSemigroup
TensorProduct.tmul
TensorProduct.tmul_add
TensorProduct.smulCommClass_left
rTensor_comp 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
LinearMap.instFunLike
rTensor
LinearMap.comp
RingHomCompTriple.ids
ext
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
RingHomCompTriple.ids
rTensor_id 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
LinearMap.instFunLike
rTensor
LinearMap.id
ext
IsScalarTower.to_smulCommClass
TensorProduct.isScalarTower_left
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
rTensor_mul 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
LinearMap.instFunLike
rTensor
Module.End.instMul
rTensor_comp
rTensor_one 📖mathematicalDFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
LinearMap.instFunLike
rTensor
Module.End.instOne
map_id
rTensor_tensor 📖mathematicalLinearMap.rTensor
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
LinearMap.comp
IsScalarTower.to_smulCommClass'
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.instModule
TensorProduct.isScalarTower
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Algebra.toSMul
RingHom.id
Semiring.toNonAssocSemiring
RingHomCompTriple.ids
LinearEquiv.toLinearMap
RingHomInvPair.ids
TensorProduct.smulCommClass_left
assoc
Algebra.id
IsScalarTower.left
map
LinearMap.id
LinearEquiv.symm
TensorProduct.ext
IsScalarTower.to_smulCommClass
IsScalarTower.to_smulCommClass'
smulCommClass_self
TensorProduct.isScalarTower
RingHomCompTriple.ids
RingHomInvPair.ids
TensorProduct.smulCommClass_left
IsScalarTower.left
LinearMap.ext
ext
rTensor_tmul 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.instFunLike
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
TensorProduct.instModule
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
rTensor
TensorProduct.tmul
IsScalarTower.to_smulCommClass
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
restrictScalars_curry 📖mathematicalLinearMap.restrictScalars
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
IsScalarTower.to_smulCommClass
LinearMap.IsScalarTower.compatibleSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Algebra.toSMul
LinearMap.instIsScalarTower
curry
TensorProduct.curry
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.instModule
TensorProduct.leftModule
TensorProduct.isScalarTower_left
IsScalarTower.to_smulCommClass
smulCommClass_self
LinearMap.IsScalarTower.compatibleSMul
LinearMap.instIsScalarTower
restrictScalars_lTensor 📖mathematicalLinearMap.restrictScalars
TensorProduct
CommSemiring.toSemiring
TensorProduct.addCommMonoid
TensorProduct.instModule
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.IsScalarTower.compatibleSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
Algebra.toSMul
TensorProduct.isScalarTower_left
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
LinearMap.addCommMonoid
LinearMap.module
smulCommClass_self
CommSemiring.toCommMonoid
DistribMulAction.toMulAction
CommMonoid.toMonoid
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
LinearMap.instFunLike
lTensor
LinearMap.lTensor
IsScalarTower.to_smulCommClass
LinearMap.IsScalarTower.compatibleSMul
TensorProduct.isScalarTower_left
smulCommClass_self
TensorProduct.smulCommClass_left
IsScalarTower.to_smulCommClass'
restrictScalars_rTensor 📖mathematicalLinearMap.restrictScalars
TensorProduct
CommSemiring.toSemiring
TensorProduct.addCommMonoid
TensorProduct.instModule
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
LinearMap.IsScalarTower.compatibleSMul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
Algebra.toSMul
TensorProduct.isScalarTower_left
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
LinearMap.instFunLike
rTensor
LinearMap.rTensor
IsScalarTower.to_smulCommClass
LinearMap.IsScalarTower.compatibleSMul
TensorProduct.isScalarTower_left
IsScalarTower.to_smulCommClass'
TensorProduct.smulCommClass_left
rid_eq_rid 📖mathematicalrid
CommSemiring.toSemiring
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
TensorProduct.rid
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
IsScalarTower.left
rid_symm_apply 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
CommSemiring.toSemiring
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
rid
TensorProduct.tmul
AddMonoidWithOne.toOne
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
rid_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
CommSemiring.toSemiring
Semiring.toModule
TensorProduct.addCommMonoid
TensorProduct.leftModule
IsScalarTower.to_smulCommClass
EquivLike.toFunLike
LinearEquiv.instEquivLike
rid
TensorProduct.tmul
SMulZeroClass.toSMul
AddZero.toZero
AddZeroClass.toAddZero
AddMonoid.toAddZeroClass
AddCommMonoid.toAddMonoid
DistribSMul.toSMulZeroClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
rightComm_eq 📖mathematicalrightComm
CommSemiring.toSemiring
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
smulCommClass_self
CommSemiring.toCommMonoid
CommMonoid.toMonoid
TensorProduct.rightComm
RingHomInvPair.ids
smulCommClass_self
IsScalarTower.to_smulCommClass
IsScalarTower.left
TensorProduct.smulCommClass_left
rightComm_symm 📖mathematicalLinearEquiv.symm
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
rightComm
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
rightComm_symm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
rightComm
TensorProduct.tmul
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
rightComm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
EquivLike.toFunLike
LinearEquiv.instEquivLike
rightComm
TensorProduct.tmul
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
smul_eq_lsmul_rTensor 📖mathematicalTensorProduct
TensorProduct.leftHasSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
IsScalarTower.to_smulCommClass
DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
TensorProduct.addCommMonoid
TensorProduct.instModule
LinearMap.instFunLike
LinearMap.rTensor
AlgHom
Module.End
Module.End.instSemiring
Module.End.instAlgebra
IsScalarTower.to_smulCommClass'
Algebra.id
IsScalarTower.left
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Algebra.toSMul
AlgHom.funLike
Algebra.lsmul
IsScalarTower.to_smulCommClass
tensorTensorTensorComm_eq 📖mathematicaltensorTensorTensorComm
CommSemiring.toSemiring
Algebra.id
IsScalarTower.left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
DistribMulAction.toMulAction
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
smulCommClass_self
CommSemiring.toCommMonoid
CommMonoid.toMonoid
TensorProduct.tensorTensorTensorComm
RingHomInvPair.ids
smulCommClass_self
IsScalarTower.to_smulCommClass
IsScalarTower.left
TensorProduct.smulCommClass_left
tensorTensorTensorComm_symm 📖mathematicalLinearEquiv.symm
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
tensorTensorTensorComm
RingHomInvPair.ids
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
tensorTensorTensorComm_symm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
tensorTensorTensorComm
TensorProduct.tmul
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
TensorProduct.smulCommClass_left
tensorTensorTensorComm_tmul 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
CommSemiring.toSemiring
IsScalarTower.to_smulCommClass
TensorProduct.smulCommClass_left
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
Module.toDistribMulAction
EquivLike.toFunLike
LinearEquiv.instEquivLike
tensorTensorTensorComm
TensorProduct.tmul
IsScalarTower.to_smulCommClass
RingHomInvPair.ids
TensorProduct.smulCommClass_left
uncurry_apply 📖mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
LinearMap.addCommMonoid
LinearMap.module
IsScalarTower.to_smulCommClass
TensorProduct
TensorProduct.addCommMonoid
TensorProduct.leftModule
LinearMap.instSMulCommClass
DistribMulAction.toDistribSMul
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
AddCommMonoid.toAddMonoid
Module.toDistribMulAction
LinearMap.instFunLike
uncurry
lift
IsScalarTower.to_smulCommClass
LinearMap.instSMulCommClass

TensorProduct.AlgebraTensorModule.lift

Definitions

NameCategoryTheorems
equiv 📖CompOp

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