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_min_distr_l : forall n m p, min (p - n) (p - m) == p - max n m.