proposition: Lemma expvM U m n : (U ^+ (m * n) = U ^+ m ^+ n)%VS.
proof: Proof. by elim: n => [|n IHn]; rewrite ?muln0 // mulnS expvD IHn expvSl. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path) mathcomp(choice fintype div tuple finfun bigop ssralg) mathcomp(finalg zmodp matrix vector poly)