∀ {R : Type u_1} {L : Type u_2} {M : Type u_3} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M] [inst_6 : LieModule R L M]
  (toLinearMap : L →ₗ[R] M) (leibniz' : ∀ (a b : L), toLinearMap ⁅a, b⁆ = ⁅a, toLinearMap b⁆ - ⁅b, toLinearMap a⁆)
  (toLinearMap_1 : L →ₗ[R] M)
  (leibniz'_1 : ∀ (a b : L), toLinearMap_1 ⁅a, b⁆ = ⁅a, toLinearMap_1 b⁆ - ⁅b, toLinearMap_1 a⁆),
  ({ toLinearMap := toLinearMap, leibniz' := leibniz' } = { toLinearMap := toLinearMap_1, leibniz' := leibniz'_1 }) =
    (toLinearMap = toLinearMap_1)