proposition: Lemma take_polyMXn_0 n p : take_poly n (p * 'X^n) = 0.
proof: Proof. by rewrite take_polyMXn subnn take_poly0l mul0r. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype bigop finset tuple) mathcomp(div ssralg countalg binomial)