Nilpotent
π Source: Mathlib/Algebra/Lie/Nilpotent.lean
Statistics
Equiv
Theorems
Function.Injective
Theorems
Function.Surjective
Theorems
LieAlgebra
Definitions
| Name | Category | Theorems |
|---|---|---|
maxNilpotentIdeal π | CompOp |
Theorems
LieAlgebra.LieIdeal
Theorems
LieEquiv
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
nilpotent_iff_equiv_nilpotent π | mathematical | β | LieRing.IsNilpotent | β | Function.Injective.lieAlgebra_isNilpotentinjective |
LieHom
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
isNilpotent_range π | mathematical | β | LieRing.IsNilpotentLieSubalgebraSetLike.instMembershipLieSubalgebra.instSetLikerangeLieSubalgebra.lieRing | β | Function.Surjective.lieAlgebra_isNilpotentsurjective_rangeRestrict |
LieIdeal
Definitions
| Name | Category | Theorems |
|---|---|---|
lcs π | CompOp |
Theorems
LieModule
Definitions
Theorems
LieModule.IsNilpotent
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
mk π | mathematical | LieModule.lowerCentralSeriesBot.botLieSubmoduleLieSubmodule.instBot | LieModule.IsNilpotent | β | LieModule.isNilpotent_iff |
nilpotent π | mathematical | β | LieModule.lowerCentralSeriesBot.botLieSubmoduleLieSubmodule.instBot | β | LieModule.isNilpotent_iff |
nilpotent_int π | mathematical | β | LieModule.lowerCentralSeriesInt.instCommRingLieRing.instLieAlgebraAddCommGroup.toIntModuleBot.botLieSubmoduleLieSubmodule.instBot | β | β |
LieRing
Definitions
LieSubalgebra
Theorems
LieSubmodule
Definitions
Theorems
(root)
Theorems
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