Theorems · Theorem · nonassociative algebras

Function.Surjective.isEngelian

∀ {R : Type u₁} {L : Type u₂} {L₂ : Type u₃} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : LieRing L₂] [inst_4 : LieAlgebra R L₂] {f : L →ₗ⁅R⁆ L₂},
  Function.Surjective ⇑f → LieAlgebra.IsEngelian R L → LieAlgebra.IsEngelian R L₂

Defined in

Mathlib.Algebra.Lie.Engel

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra