proposition: Lemma mpolyXE_id m : 'X_[m] = \prod_(i < n) 'X_i ^+ m i.
proof: Proof. by rewrite (mpolyXE 1); apply/eq_bigr=> /= i _; rewrite perm1. 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