proposition: Lemma MPolyU c m : MPoly << c *g m >> = c *: 'X_[m].
proof: Proof. apply/mpolyP=> k; rewrite mcoeff_MPoly. by rewrite mcoeffZ mcoeffX coeffU. 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