proposition: Lemma mmeasureZ_le mf (p : {mpoly R[n]}) c : mmeasure mf (c *: p) <= mmeasure mf p.
proof: Proof. rewrite {1}mmeasureE big_tnth; apply/bigmax_leqP=> /= i _. set m := tnth _ _; have: m \in msupp (c *: p) by apply/mem_tnth. by move/msuppZ_le=> /mmeasure_mnm_lt->. 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