proposition: Lemma monicMl p q : p \is monic -> (p * q \is monic) = (q \is monic).
proof: Proof. by move=> mon_p; rewrite !monicE lead_coef_monicM. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype bigop finset tuple) mathcomp(div ssralg countalg binomial)