proposition: Lemma odd_polyC (c : R) : odd_poly c%:P = 0.
proof: Proof. by apply/polyP => i; rewrite coef_odd_poly !coefC; case: i. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype bigop finset tuple) mathcomp(div ssralg countalg binomial)