proposition: Lemma mdeg_bigmax (r : seq 'X_{1..n}) : mdeg (\join_(m <- r) m)%O = \max_(m <- r) mdeg m.
proof: Proof. elim: r => [|m r ih]; first by rewrite !big_nil mdeg0. by rewrite !big_cons mdeg_max ih. 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