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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.
-
-
-