Imported Upstream version 8.2~beta3+dfsgupstream/8.2.beta3+dfsg

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.