Theorems · Theorem · nonassociative algebras
LieModule.lowerCentralSeries_zero
∀ (R : Type u) (L : Type v) (M : Type w) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M], LieModule.lowerCentralSeries R L M 0 = ⊤
- Defined in
- Mathlib.Algebra.Lie.Nilpotent
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement · cited by 489
- LieModule.lowerCentralSeriesstatement · cited by 60
Cited by3
Results whose statement or proof uses this declaration.
- LieModule.nilpotencyLength_eq_zero_iffproof · cited by 1
- LieModule.map_lowerCentralSeries_eqproof · cited by 1
- LieModule.derivedSeries_le_lowerCentralSeriesproof · cited by 0