proposition: Lemma incnP : (forall i, f i < f i.+1) -> {mono f : i j / i <= j}.
proof: Proof. by move=> f_inc; apply/le_mono/homo_ltn_lt. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)