proposition: Lemma ltn_def x y : (x < y)%N = (y != x) && (x <= y)%N.
proof: Proof. by rewrite ltn_neqAle eq_sym. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)