proposition: Lemma derivC c : c%:P^`() = 0.
proof: Proof. by apply/polyP=> i; rewrite coef_deriv coef0 coefC mul0rn. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype bigop finset tuple) mathcomp(div ssralg countalg binomial)