proposition: Lemma msuppZ_le (c : R) p : {subset msupp (c *: p) <= msupp p}.
proof: Proof. move=> /= m; rewrite !mcoeff_msupp -mul_mpolyC. rewrite mcoeffCM; have [->|//] := eqVneq p@_m 0. by rewrite mulr0 eqxx. 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