proposition: Lemma lt_max z x y : (z < max x y) = (z < x) || (z < y).
proof: Proof. exact: comparable_lt_max. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)