Theorems · Theorem · nonassociative algebras
LieModule.IsNilpotent.nilpotent_int
∀ {L : Type v} {M : Type w} {inst : LieRing L} {inst_1 : AddCommGroup M} {inst_2 : LieRingModule L M}
[self : LieModule.IsNilpotent L M], ∃ k, LieModule.lowerCentralSeries ℤ L M k = ⊥- Defined in
- Mathlib.Algebra.Lie.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- LieModule.IsNilpotent
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Bot.botstatement · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement · cited by 489
- LieModule.lowerCentralSeriesstatement · cited by 60
- LieModule.IsNilpotentstatement and proof · cited by 46
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.