Theorems · Definition · nonassociative algebras
LieAlgebra.derivedLength
(R : Type u) → (L : Type v) → [inst : CommRing R] → [inst_1 : LieRing L] → [LieAlgebra R L] → ℕ
The derived length of a Lie algebra is the derived length of its 'top' Lie ideal.
See also LieAlgebra.derivedLength_eq_derivedLengthOfIdeal.
- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Top.topproof · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieAlgebra.derivedLengthOfIdealproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.derivedLength_eq_derivedLengthOfIdealstatement · cited by 0