(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    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)         *)
(************************************************************************)
(** * Properties of minimum and maximum specific to integer numbers *)
Module Type ZMaxMinProp (Import Z : ZAxiomsMiniSig').
Include ZMulOrderProp Z.
(** The following results are concrete instances of [max_monotone] and similar lemmas. *)
(** Succ *)

Lemma mul_max_distr_nonneg_r n m p : 0 <= p ->
max (n * p) (m * p) == max n m * p.