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(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
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(*         *     GNU Lesser General Public License Version 2.1          *)
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(** * Properties of minimum and maximum specific to natural numbers *)
Module Type NMaxMinProp (Import N : NAxiomsMiniSig').
Include NSubProp N.
(** Zero *)

(** The following results are concrete instances of [max_monotone] and similar lemmas. *)
(** Succ *)
Lemma succ_max_distr n m : S (max n m) == max (S n) (S m).