proposition: Lemma num_lte_maxl a x y : maxe x%:num y%:num < a = (x%:num < a) && (y%:num < a).
proof: Proof. by rewrite -comparable_lt_maxl// ereal_comparable. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap) mathcomp(mathcomp_extra) signed