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

(limited to 'theories/QArith/Qcanon.v')

diff --git a/theories/QArith/Qcanon.v b/theories/QArith/Qcanon.v
index 9f9651d8..1510a7b8 100644
--- a/theories/QArith/Qcanon.v
+++ b/theories/QArith/Qcanon.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 Field.
@@ -28,7 +30,7 @@ Lemma Qred_identity :
 Proof.
   intros (a,b) H; simpl in *.
   rewrite <- Z.ggcd_gcd in H.
-  generalize (Z.ggcd_correct_divisors a ('b)).
+  generalize (Z.ggcd_correct_divisors a (Zpos b)).
   destruct Z.ggcd as (g,(aa,bb)); simpl in *; subst.
   rewrite !Z.mul_1_l. now intros (<-,<-).
 Qed.
@@ -37,7 +39,7 @@ Lemma Qred_identity2 :
   forall q:Q, Qred q = q -> Z.gcd (Qnum q) (QDen q) = 1%Z.
 Proof.
   intros (a,b) H; simpl in *.
-  generalize (Z.gcd_nonneg a ('b)) (Z.ggcd_correct_divisors a ('b)).
+  generalize (Z.gcd_nonneg a (Zpos b)) (Z.ggcd_correct_divisors a (Zpos b)).
   rewrite <- Z.ggcd_gcd.
   destruct Z.ggcd as (g,(aa,bb)); simpl in *.
   injection H as <- <-. intros H (_,H').
-- 
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