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authorGravatar Stephane Glondu <steph@glondu.net>2009-02-01 00:54:40 +0100
committerGravatar Stephane Glondu <steph@glondu.net>2009-02-01 00:54:40 +0100
commitcfbfe13f5b515ae2e3c6cdd97e2ccee03bc26e56 (patch)
treeb7832bd5d412a5a5d69cb36ae2ded62c71124c22 /test-suite/success/rewrite_iterated.v
parent113b703a695acbe31ac6dd6a8c4aa94f6fda7545 (diff)
Imported Upstream version 8.2~rc2+dfsgupstream/8.2.rc2+dfsg
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+Require Import Arith Omega.
+
+Lemma test : forall p:nat, p<>0 -> p-1+1=p.
+Proof.
+ intros; omega.
+Qed.
+
+(** Test of new syntax for rewrite : ! ? and so on... *)
+
+Lemma but : forall a b c, a<>0 -> b<>0 -> c<>0 ->
+ (a-1+1)+(b-1+1)+(c-1+1)=a+b+c.
+Proof.
+intros.
+rewrite test.
+Undo.
+rewrite test,test.
+Undo.
+rewrite 2 test. (* or rewrite 2test or rewrite 2!test *)
+Undo.
+rewrite 2!test,2?test.
+Undo.
+(*rewrite 4!test. --> error *)
+rewrite 3!test.
+Undo.
+rewrite <- 3?test.
+Undo.
+(*rewrite <-?test. --> loops*)
+rewrite !test by auto.
+reflexivity.
+Qed.