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authorGravatar Stephane Glondu <steph@glondu.net>2012-01-12 16:04:54 +0100
committerGravatar Stephane Glondu <steph@glondu.net>2012-01-12 16:04:54 +0100
commit39efc41237ec906226a3a53d7396d51173495204 (patch)
tree87cd58d72d43469d2a2a0a127c1060d7c9e0206b /test-suite/success/autorewrite.v
parent5fe4ac437bed43547b3695664974f492b55cb553 (diff)
parent97fefe1fcca363a1317e066e7f4b99b9c1e9987b (diff)
Remove non-DFSG contentsupstream/8.4_beta+dfsg
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+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.
+