Theorems · Theorem · nonassociative algebras

LieIdeal.map_comap_eq

∀ {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'} {J : LieIdeal R L'},
  f.IsIdealMorphism → LieIdeal.map f (LieIdeal.comap f J) = f.idealRange ⊓ J

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

2 results in Mathlib

Foundations

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

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra