blob: 8126e9e4bab5d3f4fb19d8506346eeba6ab66114 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
|
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.
|
