diff options
author | Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:32 -0500 |
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committer | Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:32 -0500 |
commit | 2708a015fcf65f72328be4296a00dd32b1f1c17a (patch) | |
tree | 696f9b5fb84817e1a5c8d9271976a92e25aef18a /theories/QArith/Qcanon.v | |
parent | d7d80c5bea564b7cb0eadc33e9ee38c9d9de1cd8 (diff) | |
parent | 9043add656177eeac1491a73d2f3ab92bec0013c (diff) |
Updated version 8.8.2 from 'upstream/8.8.2'
with Debian dir a16bcf46abacaf1a684eda04f02555c984bf540d
Diffstat (limited to 'theories/QArith/Qcanon.v')
-rw-r--r-- | theories/QArith/Qcanon.v | 14 |
1 files changed, 8 insertions, 6 deletions
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'). |