proposition: Lemma le_nmono_in : {in D &, {homo f : x y /~ x < y}} -> {in D &, {mono f : x y /~ x <= y}}.
proof: Proof. exact: total_homo_mono_in. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)