Theorems · Theorem · nonassociative algebras

LieAlgebra.isSolvable_iff

∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L],
  LieAlgebra.IsSolvable L ↔ ∃ k, LieAlgebra.derivedSeries R L k = ⊥

Defined in

Mathlib.Algebra.Lie.Solvable

Cited by

5 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra