proposition: Lemma ltrN2 : {mono -%R : x y /~ x < y :> R}.
proof: Proof. by move=> x y /=; rewrite leW_nmono. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(ssrAC div fintype path bigop order finset fingroup) mathcomp(ssralg poly)