From f3870c96a192ff52449db9695b1c160834ff023f Mon Sep 17 00:00:00 2001
From: letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>
Date: Mon, 9 Jul 2012 18:17:58 +0000
Subject: induction/destruct : nicer syntax for generating equations (solves
 #2741)

 The ugly syntax "destruct x as [ ]_eqn:H" is replaced by:

  destruct x eqn:H
  destruct x as [ ] eqn:H

 Some with induction. Of course, the pattern behind "as" is arbitrary.
 For an anonymous version, H could be replaced by ?. The old syntax
 with "_eqn" still works for the moment, by triggers a warning.

 For making this new syntax work, we had to change the seldom-used
 "induction x y z using foo" into "induction x, y, z using foo".
 Now, only one "using" can be used per command instead of one per
 comma-separated group earlier, but I doubt this will bother anyone.

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15566 85f007b7-540e-0410-9357-904b9bb8a0f7
---
 theories/Arith/Compare_dec.v | 2 +-
 theories/Arith/Mult.v        | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

(limited to 'theories/Arith')

diff --git a/theories/Arith/Compare_dec.v b/theories/Arith/Compare_dec.v
index f6801da20..d7dd987fb 100644
--- a/theories/Arith/Compare_dec.v
+++ b/theories/Arith/Compare_dec.v
@@ -202,7 +202,7 @@ Lemma nat_compare_spec :
   forall x y, CompareSpec (x=y) (x<y) (y<x) (nat_compare x y).
 Proof.
  intros.
- destruct (nat_compare x y) as [ ]_eqn; constructor.
+ destruct (nat_compare x y) eqn:?; constructor.
  apply nat_compare_eq; auto.
  apply <- nat_compare_lt; auto.
  apply <- nat_compare_gt; auto.
diff --git a/theories/Arith/Mult.v b/theories/Arith/Mult.v
index 0c44cfaf1..f779e0772 100644
--- a/theories/Arith/Mult.v
+++ b/theories/Arith/Mult.v
@@ -73,7 +73,7 @@ Qed.
 
 Lemma mult_minus_distr_r : forall n m p, (n - m) * p = n * p - m * p.
 Proof.
-  intros; induction n m using nat_double_ind; simpl; auto with arith.
+  intros; induction n, m using nat_double_ind; simpl; auto with arith.
   rewrite <- minus_plus_simpl_l_reverse; auto with arith.
 Qed.
 Hint Resolve mult_minus_distr_r: arith v62.
-- 
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