Theorems · Theorem · nonassociative algebras

LieHom.isIdealMorphism_iff

∀ {R : Type u} {L : Type v} {L' : Type w₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieRing L']
  [inst_3 : LieAlgebra R L'] [inst_4 : LieAlgebra R L] (f : L →ₗ⁅R⁆ L'),
  f.IsIdealMorphism ↔ ∀ (x : L') (y : L), ∃ z, ⁅x, f y⁆ = f z

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

0 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra