Theorems · Definition · nonassociative algebras

LieEquiv.trans

{R : Type u} →
  {L₁ : Type v} →
    {L₂ : Type w} →
      {L₃ : Type w₁} →
        [inst : CommRing R] →
          [inst_1 : LieRing L₁] →
            [inst_2 : LieRing L₂] →
              [inst_3 : LieRing L₃] →
                [inst_4 : LieAlgebra R L₁] →
                  [inst_5 : LieAlgebra R L₂] → [inst_6 : LieAlgebra R L₃] → (L₁ ≃ₗ⁅R⁆ L₂) → (L₂ ≃ₗ⁅R⁆ L₃) → L₁ ≃ₗ⁅R⁆ L₃

Lie algebra equivalences are transitive.

Defined in

Mathlib.Algebra.Lie.Basic

Cited by

5 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieRingLieRingLieAlgebraLieAlgebraLieAlgebra