proposition: Lemma pihomog_dE p : p \is d.-homog for mf -> pihomog p = p.
proof: Proof. move/dhomogP => hom_p; rewrite pihomogE big_seq_cond. rewrite (eq_bigl [pred m | m \in msupp p]); last first. by move=> m /=; rewrite andb_idr // => /hom_p ->. by rewrite -big_seq -mpolyE. 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