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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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(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
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(** * Properties of minimum and maximum specific to natural numbers *)
Module Type NMaxMinProp (Import N : NAxiomsMiniSig').
Include NSubProp N.
(** Zero *)

(** Sub *)
Lemma sub_max_distr_l n m p : max (p - n) (p - m) == p - min n m.