Theorems · Theorem · nonassociative algebras

LieIdeal.isLieAbelian_iff

∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {I : LieIdeal R L},
  IsLieAbelian ↥I ↔ I ≤ LieModule.ker R L ↥I

Defined in

Mathlib.Algebra.Lie.Abelian

Cited by

0 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebra