Module Type ZMaxMinProp (Import Z : ZAxiomsMiniSig').
Include ZMulOrderProp Z.
(** The following results are concrete instances of [max_monotone] and similar lemmas. *)
(** Succ *)
(** Pred *)
(** Add *)
(** Opp *)
(** Sub *)

Lemma sub_max_distr_r : forall n m p, max (n - p) (m - p) == max n m - p.