Theorems · Definition · nonassociative algebras

LieIdeal.inclusion

{R : Type u} →
  {L : Type v} →
    [inst : CommRing R] →
      [inst_1 : LieRing L] → [inst_2 : LieAlgebra R L] → {I₁ I₂ : LieIdeal R L} → I₁ ≤ I₂ → ↥I₁ →ₗ⁅R⁆ ↥I₂

Given two nested Lie ideals I₁ ⊆ I₂, the inclusion I₁ ↪ I₂ is a morphism of Lie algebras.

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

4 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebra