proposition: Lemma mcoeff_gt_mlead p m : (mlead p < m)%O -> p@_m = 0.
proof: Proof. move=> lt_lcp_m; apply/eqP; rewrite mcoeff_eq0; apply/negP. by move/msupp_le_mlead; rewrite leNgt lt_lcp_m. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path) mathcomp(choice fintype tuple finfun bigop finset binomial) mathcomp(order fingroup perm ssralg zmodp poly ssrint) mathcomp(matrix vector) mathcomp(bigenough) ssrcomplements freeg