proposition: Lemma dhomogM d p e q : p \is d.-homog -> q \is e.-homog -> p * q \is (d + e).-homog.
proof: Proof. move=> /dhomogP homp /dhomogP homq; apply/dhomogP=> m. case/msuppM_le/allpairsP=> /= -[m1 m2] [/=]. by move=> /homp <- /homq <- ->; apply/mfD. 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