From 49a7bb129b8a7f9d5a9175b7a340112c20e95d96 Mon Sep 17 00:00:00 2001 From: letouzey Date: Thu, 15 May 2008 22:42:23 +0000 Subject: In practice, the new setoid rewrite (and the "at" syntax) allows to avoid using the ad-hoc qsetoid_rewrite. Could QRewrite.v be made completely obsolete ? For the moment rewrite under fun and exists don't work. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10935 85f007b7-540e-0410-9357-904b9bb8a0f7 --- theories/Numbers/Integer/Abstract/ZPlus.v | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) (limited to 'theories/Numbers/Integer/Abstract/ZPlus.v') diff --git a/theories/Numbers/Integer/Abstract/ZPlus.v b/theories/Numbers/Integer/Abstract/ZPlus.v index cdafa1ca7c..2520d62e19 100644 --- a/theories/Numbers/Integer/Abstract/ZPlus.v +++ b/theories/Numbers/Integer/Abstract/ZPlus.v @@ -75,7 +75,7 @@ Proof NZplus_cancel_r. Theorem Zplus_pred_l : forall n m : Z, P n + m == P (n + m). Proof. intros n m. -pattern n at 2. qsetoid_rewrite <- (Zsucc_pred n). +rewrite <- (Zsucc_pred n) at 2. rewrite Zplus_succ_l. now rewrite Zpred_succ. Qed. @@ -104,19 +104,19 @@ Qed. Theorem Zminus_pred_l : forall n m : Z, P n - m == P (n - m). Proof. -intros n m. pattern n at 2; qsetoid_rewrite <- (Zsucc_pred n). +intros n m. rewrite <- (Zsucc_pred n) at 2. rewrite Zminus_succ_l; now rewrite Zpred_succ. Qed. Theorem Zminus_pred_r : forall n m : Z, n - (P m) == S (n - m). Proof. -intros n m. pattern m at 2; qsetoid_rewrite <- (Zsucc_pred m). +intros n m. rewrite <- (Zsucc_pred m) at 2. rewrite Zminus_succ_r; now rewrite Zsucc_pred. Qed. Theorem Zopp_pred : forall n : Z, - (P n) == S (- n). Proof. -intro n. pattern n at 2; qsetoid_rewrite <- (Zsucc_pred n). +intro n. rewrite <- (Zsucc_pred n) at 2. rewrite Zopp_succ. now rewrite Zsucc_pred. Qed. -- cgit v1.2.3