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