Theorems · Theorem · nonassociative algebras

LieHom.isIdealMorphism_def

∀ {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 ↔ LieIdeal.toLieSubalgebra R L' f.idealRange = f.range

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

4 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra