proposition: Lemma monic_rreg (p : {poly R}) : p \is monic -> rreg p.
proof: Proof. by rewrite monicE=> /eqP lp1; apply/rreg_lead; rewrite lp1; apply/rreg1. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat div seq path) mathcomp(ssralg fintype finfun perm matrix bigop zmodp mxalgebra) mathcomp(choice poly polydiv mxpoly binomial)