Theorems · Theorem · nonassociative algebras

LieSubalgebra.engel_carrier

∀ (R : Type u_1) {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (x : L),
  ↑(LieSubalgebra.engel R x) = ⋂ s, ⋂ (_ : ∀ (a : ℕ), ((LieAlgebra.ad R L) x ^ a).ker ≤ s), ↑s

Defined in: Mathlib.Algebra.Lie.EngelSubalgebra
Cited by: 0 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing LieRing LieAlgebra

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