proposition: Lemma Gauss_dvdz m n p : coprimez m n -> (m * n %| p)%Z = (m %| p)%Z && (n %| p)%Z.
proof: Proof. by move/Gauss_dvd <-; rewrite -abszM. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq path) mathcomp(div choice fintype tuple finfun bigop prime order) mathcomp(ssralg poly ssrnum ssrint archimedean rat matrix) mathcomp(polydiv perm zmodp mxalgebra vector)