Theorems · Definition · nonassociative algebras

LieEquiv.toLinearEquiv

{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) → L₁ ≃ₗ[R] L₂

Consider an equivalence of Lie algebras as a linear equivalence.

Defined in

Mathlib.Algebra.Lie.Basic

Cited by

16 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra