Documentation Verification Report

ULift

📁 Source: Mathlib/Algebra/Module/ULift.lean

Statistics

MetricCount
DefinitionsaddAction, addAction', distribMulAction, distribMulAction', distribSMul, distribSMul', module', moduleEquiv, mulAction, mulAction', mulActionWithZero, mulActionWithZero', mulDistribMulAction, mulDistribMulAction', smulLeft, smulWithZero, smulWithZero', smulZeroClass, smulZeroClass', vaddLeft
20
TheoremsinstIsCentralScalar, isScalarTower, isScalarTower', isScalarTower'', moduleEquiv_apply, moduleEquiv_symm_apply, smul_def, vadd_def
8
Total28

ULift

Definitions

NameCategoryTheorems
addAction 📖CompOp
addAction' 📖CompOp
distribMulAction 📖CompOp
distribMulAction' 📖CompOp
distribSMul 📖CompOp
distribSMul' 📖CompOp
module' 📖CompOp
13 mathmath: Module.ulift_injective_of_injective, moduleEquiv_symm_apply, instModuleIsReflexive, Module.Finite.ulift, rank_ulift, Module.injective_iff_ulift_injective, ModuleCat.uliftFunctor_map, ModuleCat.uliftFunctor_obj, finrank_ulift, Module.Flat.ulift, Module.Free.ulift, moduleEquiv_apply, ModuleCat.ulift_injective_of_injective
moduleEquiv 📖CompOp
3 mathmath: moduleEquiv_symm_apply, ModuleCat.uliftFunctor_map, moduleEquiv_apply
mulAction 📖CompOp
mulAction' 📖CompOp
mulActionWithZero 📖CompOp
mulActionWithZero' 📖CompOp
mulDistribMulAction 📖CompOp
mulDistribMulAction' 📖CompOp
smulLeft 📖CompOp
6 mathmath: isScalarTower, isIsometricSMul, instContinuousSMulULift, smul_def, instContinuousConstSMulULift, isScalarTower'
smulWithZero 📖CompOp
smulWithZero' 📖CompOp
smulZeroClass 📖CompOp
smulZeroClass' 📖CompOp
vaddLeft 📖CompOp
4 mathmath: instContinuousConstVAddULift, instContinuousVAddULift, isIsometricVAdd, vadd_def

Theorems

NameKindAssumesProvesValidatesDepends On
instIsCentralScalar 📖mathematicalIsCentralScalar
smul
MulOpposite
IsCentralScalar.op_smul_eq_smul
isScalarTower 📖mathematicalIsScalarTower
smulLeft
smul_assoc
isScalarTower' 📖mathematicalIsScalarTower
smul
smulLeft
smul_assoc
isScalarTower'' 📖mathematicalIsScalarTower
smul
smul_assoc
moduleEquiv_apply 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
addCommMonoid
module'
EquivLike.toFunLike
LinearEquiv.instEquivLike
moduleEquiv
RingHomInvPair.ids
moduleEquiv_symm_apply 📖mathematicalDFunLike.coe
LinearEquiv
RingHom.id
Semiring.toNonAssocSemiring
RingHomInvPair.ids
addCommMonoid
module'
EquivLike.toFunLike
LinearEquiv.instEquivLike
LinearEquiv.symm
moduleEquiv
RingHomInvPair.ids
smul_def 📖mathematicalsmulLeft
vadd_def 📖mathematicalHVAdd.hVAdd
instHVAdd
vaddLeft

---

← Back to Index