Theorems · Definition · nonassociative algebras

LieSubalgebra.ofLe

{R : Type u} →
  {L : Type v} →
    [inst : CommRing R] →
      [inst_1 : LieRing L] → [inst_2 : LieAlgebra R L] → {K K' : LieSubalgebra R L} → K ≤ K' → LieSubalgebra R ↥K'

Given two nested Lie subalgebras K ⊆ K', we can view K as a Lie subalgebra of K', regarded as Lie algebra in its own right.

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

8 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra