Variable R : ringType.
Variable V : (lmodType R).
Local Coercion Posz : nat >-> int.
Implicit Types m n : int.
Implicit Types x y z : R.
Implicit Types u v w : V.

(* Specifications: *)
Lemma scaler_int n v : n%:~R *: v = v *~ n.
Lemma scalerMzl a v n : (a *: v) *~ n = (a *~ n) *: v.
End Additive.