∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {motive : (a a_1 : TensorAlgebra R M) → TensorAlgebra.SymRel R M a a_1 → Prop},
  (∀ (x y : M),
      motive ((TensorAlgebra.ι R) x * (TensorAlgebra.ι R) y) ((TensorAlgebra.ι R) y * (TensorAlgebra.ι R) x) ⋯) →
    ∀ {a a_1 : TensorAlgebra R M} (t : TensorAlgebra.SymRel R M a a_1), motive a a_1 t