Theorems · Theorem · nonassociative algebras

LieIdeal.comap_map_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'} {I : LieIdeal R L},
  ↑(LieIdeal.map f I) = ⇑f '' ↑I → LieIdeal.comap f (LieIdeal.map f I) = I ⊔ f.ker

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

0 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra