proposition: Fact leP x y : le_xor_gt x y (min y x) (min x y) (max y x) (max x y) (x <= y) (y < x).
proof: Proof. exact: comparable_leP. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)