proposition: Lemma mulmnE m k i : ((m *+ k) i)%MM = (m i * k)%N.
proof: Proof. elim: k => [|k ih]; first by rewrite muln0 mulm0n !mnmE. by rewrite mulmS mulnS mnmDE 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