proposition: Lemma mpolyKC : cancel (@mcoeff 0 R 0%MM) (@mpolyC 0 R).
proof: Proof. move=> p; apply/mpolyP=> m; rewrite mcoeffC. case: (m =P 0%MM)=> [->|/eqP]; first by rewrite mulr1. by apply/contraNeq=> _; apply/eqP/mnmP; case. 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