proposition: Lemma mul_poly1_eq0L p q (m : 'X_{1..n} * 'X_{1..n}) : m.1 \notin msupp p -> p *M_[m] q = 0.
proof: Proof. by move/memN_msupp_eq0=> ->; rewrite mul0r freegU0. 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