Module Type NMaxMinProp (Import N : NAxiomsMiniSig').
Include NSubProp N.
(** Zero *)
(** The following results are concrete instances of [max_monotone] and similar lemmas. *)
(** Succ *)
(** Add *)
(** Mul *)
(** Sub *)

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