Theorems · Theorem · nonassociative algebras

LieIdeal.map_le

∀ {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) (J : LieIdeal R L'),
  LieIdeal.map f I ≤ J ↔ ⇑f '' ↑I ⊆ ↑J

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra