proposition: Lemma map_mpoly_is_multiplicative : multiplicative (map_mpoly f).
proof: Proof. apply/commr_mmap_is_multiplicative => /=. + by move=> i x; apply/commr_mpolyX. + by move=> p m m'; rewrite mmap1_id; apply/commr_mpolyX. 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