proposition: Lemma map_polyZ c p : (c *: p)^f = f c *: p^f.
proof: Proof. by apply/polyP=> i; rewrite !(coef_map, coefZ) /= rmorphM. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype bigop finset tuple) mathcomp(div ssralg countalg binomial)