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author | 2013-05-08 18:01:07 +0200 | |
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committer | 2013-05-08 18:01:07 +0200 | |
commit | 095eac936751bab72e3c6bbdfa3ede51f7198721 (patch) | |
tree | 44cf2859ba6b8486f056efaaf7ee6c2d855f2aae /test-suite/success/autorewrite.v | |
parent | 4e6d6dab2ef2de6c1ad7972fc981e55a4fde7ae3 (diff) | |
parent | 0b14713e3efd7f8f1cc8a06555d0ec8fbe496130 (diff) |
Merge branch 'experimental/master'
Diffstat (limited to 'test-suite/success/autorewrite.v')
-rw-r--r-- | test-suite/success/autorewrite.v | 29 |
1 files changed, 29 insertions, 0 deletions
diff --git a/test-suite/success/autorewrite.v b/test-suite/success/autorewrite.v new file mode 100644 index 00000000..5e9064f8 --- /dev/null +++ b/test-suite/success/autorewrite.v @@ -0,0 +1,29 @@ +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), True -> False. +Proof. + intros. + autorewrite with base0 in *. + apply H;reflexivity. +Qed. + +(* Check autorewrite does not solve existing evars *) +(* See discussion started by A. Chargueraud in Oct 2010 on coqdev *) + +Hint Rewrite <- plus_n_O : base1. +Goal forall y, exists x, y+x = y. +eexists. autorewrite with base1. +Fail reflexivity. + |