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