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