diff options
| author | sacerdot | 2005-05-18 19:30:44 +0000 |
|---|---|---|
| committer | sacerdot | 2005-05-18 19:30:44 +0000 |
| commit | 4cc1c1b288426ac929b59c4cafeccba532e074c1 (patch) | |
| tree | 7c57b3c5a0421b24ebfd22efdae717142170d9b3 /test-suite | |
| parent | 58b4bdc54c24e2f10f96b52bb5c1c673e9782918 (diff) | |
Implemented autorewrite with ... in hyp [using ...].
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@7034 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'test-suite')
| -rw-r--r-- | test-suite/success/autorewritein.v8 | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/test-suite/success/autorewritein.v8 b/test-suite/success/autorewritein.v8 new file mode 100644 index 0000000000..3e218099a0 --- /dev/null +++ b/test-suite/success/autorewritein.v8 @@ -0,0 +1,19 @@ +Variable Ack : nat -> nat -> nat. + +Axiom Ack0 : forall m : nat, Ack 0 m = S m. +Axiom Ack1 : forall n : nat, Ack (S n) 0 = Ack n 1. +Axiom Ack2 : forall n m : nat, Ack (S n) (S m) = Ack n (Ack (S n) m). + +Hint Rewrite Ack0 Ack1 Ack2 : base0. + +Lemma ResAck0 : (Ack 2 2 = 7 -> False) -> False. +Proof. + intros. + autorewrite with base0 in H using try (apply H; reflexivity). +Qed. + +Lemma ResAck1 : forall H:(Ack 2 2 = 7 -> False), H=H -> False. +Proof. + intros. + autorewrite with base0 in H using try (apply H1; reflexivity). +Qed. |