Theorems · Definition · nonassociative algebras

LieEquiv.symm

{R : Type u} →
  {L₁ : Type v} →
    {L₂ : Type w} →
      [inst : CommRing R] →
        [inst_1 : LieRing L₁] →
          [inst_2 : LieRing L₂] → [inst_3 : LieAlgebra R L₁] → [inst_4 : LieAlgebra R L₂] → (L₁ ≃ₗ⁅R⁆ L₂) → L₂ ≃ₗ⁅R⁆ L₁

Lie algebra equivalences are symmetric.

Defined in

Mathlib.Algebra.Lie.Basic

Cited by

34 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra