ULift
📁 Source: Mathlib/Algebra/Module/ULift.lean
Statistics
| Metric | Count |
|---|---|
DefinitionsaddAction, addAction', distribMulAction, distribMulAction', distribSMul, distribSMul', module', moduleEquiv, mulAction, mulAction', mulActionWithZero, mulActionWithZero', mulDistribMulAction, mulDistribMulAction', smulLeft, smulWithZero, smulWithZero', smulZeroClass, smulZeroClass', vaddLeft | 20 |
| 8 | |
| Total | 28 |
ULift
Definitions
| Name | Category | Theorems |
|---|---|---|
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 | |
mulAction 📖 | CompOp | — |
mulAction' 📖 | CompOp | — |
mulActionWithZero 📖 | CompOp | — |
mulActionWithZero' 📖 | CompOp | — |
mulDistribMulAction 📖 | CompOp | — |
mulDistribMulAction' 📖 | CompOp | — |
smulLeft 📖 | CompOp | |
smulWithZero 📖 | CompOp | — |
smulWithZero' 📖 | CompOp | — |
smulZeroClass 📖 | CompOp | — |
smulZeroClass' 📖 | CompOp | — |
vaddLeft 📖 | CompOp |
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
instIsCentralScalar 📖 | mathematical | — | IsCentralScalarsmulMulOpposite | — | IsCentralScalar.op_smul_eq_smul |
isScalarTower 📖 | mathematical | — | IsScalarTowersmulLeft | — | smul_assoc |
isScalarTower' 📖 | mathematical | — | IsScalarTowersmulsmulLeft | — | smul_assoc |
isScalarTower'' 📖 | mathematical | — | IsScalarTowersmul | — | smul_assoc |
moduleEquiv_apply 📖 | mathematical | — | DFunLike.coeLinearEquivRingHom.idSemiring.toNonAssocSemiringRingHomInvPair.idsaddCommMonoidmodule'EquivLike.toFunLikeLinearEquiv.instEquivLikemoduleEquiv | — | RingHomInvPair.ids |
moduleEquiv_symm_apply 📖 | mathematical | — | DFunLike.coeLinearEquivRingHom.idSemiring.toNonAssocSemiringRingHomInvPair.idsaddCommMonoidmodule'EquivLike.toFunLikeLinearEquiv.instEquivLikeLinearEquiv.symmmoduleEquiv | — | RingHomInvPair.ids |
smul_def 📖 | mathematical | — | smulLeft | — | — |
vadd_def 📖 | mathematical | — | HVAdd.hVAddinstHVAddvaddLeft | — | — |
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