(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \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)         *)
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(** THIS FILE IS DEPRECATED. *)
Local Open Scope Z_scope.
(** Definition [Z.min] is now [BinInt.Z.min]. *)
(** Exact compatibility *)
Notation Zle_min_compat_r := Z.min_le_compat_r (only parsing).
Notation Zle_min_compat_l := Z.min_le_compat_l (only parsing).
Notation Zmin_idempotent := Z.min_id (only parsing).
Notation Zmin_n_n := Z.min_id (only parsing).
Notation Zmin_irreducible_inf := Z.min_dec (only parsing).
Notation Zmin_SS := Z.succ_min_distr (only parsing).
Notation Zplus_min_distr_r := Z.add_min_distr_r (only parsing).
Notation Zmin_plus := Z.add_min_distr_r (only parsing).
Notation Zpos_min := Pos2Z.inj_min (only parsing).
(** Slightly different lemmas *)

Lemma Zmin_spec x y :
x <= y /\ Z.min x y = x  \/  x > y /\ Z.min x y = y.