Theorems · Theorem · nonassociative algebras
LieIdeal.coe_lcs_eq
∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L)
(M : Type u_3) [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M] (k : ℕ) [LieModule R L M],
↑(I.lcs M k) = ↑(LieModule.lowerCentralSeries R (↥I) M k)- Defined in
- Mathlib.Algebra.Lie.Nilpotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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.topproof · cited by 9,680
- Submodulestatement · cited by 7,192
- Set.ofPredproof · cited by 6,101
- LieRingstatement and proof · cited by 1,548
- Submodule.spanproof · cited by 1,504
- LieAlgebrastatement and proof · cited by 1,246
- LieRingModulestatement and proof · cited by 727
- Bracket.bracketproof · cited by 642
- LieModulestatement and proof · cited by 424
Cited by1
Results whose statement or proof uses this declaration.
- LieSubmodule.isNilpotentOfIsNilpotentSpanSupEqTopproof · cited by 1