proposition: Lemma le_lt_asym x y : x <= y < x = false.
proof: Proof. by rewrite andbC lt_le_asym. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)