From 9043add656177eeac1491a73d2f3ab92bec0013c Mon Sep 17 00:00:00 2001
From: Benjamin Barenblat <bbaren@debian.org>
Date: Sat, 29 Dec 2018 14:31:27 -0500
Subject: Imported Upstream version 8.8.2

---
 theories/Arith/Le.v | 28 +++++++++++++++-------------
 1 file changed, 15 insertions(+), 13 deletions(-)

(limited to 'theories/Arith/Le.v')

diff --git a/theories/Arith/Le.v b/theories/Arith/Le.v
index 0fbcec57..69626cc1 100644
--- a/theories/Arith/Le.v
+++ b/theories/Arith/Le.v
@@ -1,9 +1,11 @@
 (************************************************************************)
-(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
-(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016     *)
+(*         *   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        *)
+(*    //   *    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)         *)
 (************************************************************************)
 
 (** Order on natural numbers.
@@ -26,17 +28,17 @@ Local Open Scope nat_scope.
 
 (** * [le] is an order on [nat] *)
 
-Notation le_refl := Nat.le_refl (compat "8.4").
-Notation le_trans := Nat.le_trans (compat "8.4").
-Notation le_antisym := Nat.le_antisymm (compat "8.4").
+Notation le_refl := Nat.le_refl (only parsing).
+Notation le_trans := Nat.le_trans (only parsing).
+Notation le_antisym := Nat.le_antisymm (only parsing).
 
 Hint Resolve le_trans: arith.
 Hint Immediate le_antisym: arith.
 
 (** * Properties of [le] w.r.t 0 *)
 
-Notation le_0_n := Nat.le_0_l (compat "8.4").  (* 0 <= n *)
-Notation le_Sn_0 := Nat.nle_succ_0 (compat "8.4").  (* ~ S n <= 0 *)
+Notation le_0_n := Nat.le_0_l (only parsing).  (* 0 <= n *)
+Notation le_Sn_0 := Nat.nle_succ_0 (only parsing).  (* ~ S n <= 0 *)
 
 Lemma le_n_0_eq n : n <= 0 -> 0 = n.
 Proof.
@@ -53,8 +55,8 @@ Proof Peano.le_n_S.
 Theorem le_S_n : forall n m, S n <= S m -> n <= m.
 Proof Peano.le_S_n.
 
-Notation le_n_Sn := Nat.le_succ_diag_r (compat "8.4"). (* n <= S n *)
-Notation le_Sn_n := Nat.nle_succ_diag_l (compat "8.4"). (* ~ S n <= n *)
+Notation le_n_Sn := Nat.le_succ_diag_r (only parsing). (* n <= S n *)
+Notation le_Sn_n := Nat.nle_succ_diag_l (only parsing). (* ~ S n <= n *)
 
 Theorem le_Sn_le : forall n m, S n <= m -> n <= m.
 Proof Nat.lt_le_incl.
@@ -65,8 +67,8 @@ Hint Immediate le_n_0_eq le_Sn_le le_S_n : arith.
 
 (** * Properties of [le] w.r.t predecessor *)
 
-Notation le_pred_n := Nat.le_pred_l (compat "8.4"). (* pred n <= n *)
-Notation le_pred := Nat.pred_le_mono (compat "8.4"). (* n<=m -> pred n <= pred m *)
+Notation le_pred_n := Nat.le_pred_l (only parsing). (* pred n <= n *)
+Notation le_pred := Nat.pred_le_mono (only parsing). (* n<=m -> pred n <= pred m *)
 
 Hint Resolve le_pred_n: arith.
 
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