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Diffstat (limited to 'test-suite/output/Fixpoint.v')
-rw-r--r-- | test-suite/output/Fixpoint.v | 23 |
1 files changed, 23 insertions, 0 deletions
diff --git a/test-suite/output/Fixpoint.v b/test-suite/output/Fixpoint.v index fc27e8d2..2b13c204 100644 --- a/test-suite/output/Fixpoint.v +++ b/test-suite/output/Fixpoint.v @@ -16,3 +16,26 @@ Check end in f 0. +Require Import ZArith_base Omega. +Open Scope Z_scope. + +Inductive even: Z -> Prop := +| even_base: even 0 +| even_succ: forall n, odd (n - 1) -> even n +with odd: Z -> Prop := +| odd_succ: forall n, even (n - 1) -> odd n. + +Lemma even_pos_odd_pos: forall n, even n -> n >= 0. +Proof. +fix even_pos_odd_pos 2 with (odd_pos_even_pos n (H:odd n) {struct H} : n >= 1). + intros. + destruct H. + omega. + apply odd_pos_even_pos in H. + omega. + intros. + destruct H. + apply even_pos_odd_pos in H. + omega. +Show Script. +Qed. |