proposition: Lemma freegU_mulz (m : int) (S : K) : << S >> *~ m = << m%:~R *g S >> :> {freeg K / R}.
proof: Proof. by rewrite freeg_mulz. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop order generic_quotient) mathcomp(ssralg ssrnum ssrint)