proposition: Lemma dual_lt_def (x y : T) : gt x y = (y != x) && ge x y.
proof: Proof. by apply: lt_neqAle. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)