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/Reals/SeqProp.v | 14 ++++++++------
 1 file changed, 8 insertions(+), 6 deletions(-)

(limited to 'theories/Reals/SeqProp.v')

diff --git a/theories/Reals/SeqProp.v b/theories/Reals/SeqProp.v
index 5a2a07c4..38b0b3c4 100644
--- a/theories/Reals/SeqProp.v
+++ b/theories/Reals/SeqProp.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)         *)
 (************************************************************************)
 
 Require Import Rbase.
@@ -150,7 +152,7 @@ Definition sequence_lb (Un:nat -> R) (pr:has_lb Un)
 (* Compatibility *)
 Notation sequence_majorant := sequence_ub (only parsing).
 Notation sequence_minorant := sequence_lb (only parsing).
-Unset Standard Proposition Elimination Names.
+
 Lemma Wn_decreasing :
   forall (Un:nat -> R) (pr:has_ub Un), Un_decreasing (sequence_ub Un pr).
 Proof.
@@ -1167,7 +1169,7 @@ Proof.
   assert (H6 := archimed (Rabs x)); fold M in H6; elim H6; intros.
   rewrite H4 in H7; rewrite <- INR_IZR_INZ in H7.
   simpl in H7; elim (Rlt_irrefl _ (Rlt_trans _ _ _ H2 H7)).
-  replace 1 with (INR 1); [ apply le_INR | reflexivity ]; apply le_n_S;
+  apply (le_INR 1); apply le_n_S;
     apply le_O_n.
   apply le_IZR; simpl; left; apply Rlt_trans with (Rabs x).
   assumption.
-- 
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