Theorems · Theorem · nonassociative algebras

LieIdeal.comap_bracket_le

∀ {R : Type u} {L : Type v} {L' : Type w₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : LieRing L'] [inst_4 : LieAlgebra R L'] (f : L →ₗ⁅R⁆ L') {J₁ J₂ : LieIdeal R L'},
  ⁅LieIdeal.comap f J₁, LieIdeal.comap f J₂⁆ ≤ LieIdeal.comap f ⁅J₁, J₂⁆

Defined in

Mathlib.Algebra.Lie.IdealOperations

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra