Theorems · Theorem · nonassociative algebras

LieAlgebra.exists_engelian_lieSubalgebra_of_lt_normalizer

∀ {R : Type u₁} {L : Type u₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  {K : LieSubalgebra R L}, LieAlgebra.IsEngelian R ↥K → K < K.normalizer → ∃ K', LieAlgebra.IsEngelian R ↥K' ∧ K < K'

Defined in

Mathlib.Algebra.Lie.Engel

Cited by

1 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra