From 6b649aba925b6f7462da07599fe67ebb12a3460e Mon Sep 17 00:00:00 2001
From: Samuel Mimram <samuel.mimram@ens-lyon.org>
Date: Wed, 28 Jul 2004 21:54:47 +0000
Subject: Imported Upstream version 8.0pl1

---
 test-suite/ideal-features/Case8.v | 40 +++++++++++++++++++++++++++++++++++++++
 1 file changed, 40 insertions(+)
 create mode 100644 test-suite/ideal-features/Case8.v

(limited to 'test-suite/ideal-features/Case8.v')

diff --git a/test-suite/ideal-features/Case8.v b/test-suite/ideal-features/Case8.v
new file mode 100644
index 00000000..73b55028
--- /dev/null
+++ b/test-suite/ideal-features/Case8.v
@@ -0,0 +1,40 @@
+Inductive listn : nat-> Set := 
+  niln : (listn O) 
+| consn : (n:nat)nat->(listn n) -> (listn (S n)).
+
+Inductive empty : (n:nat)(listn n)-> Prop := 
+  intro_empty: (empty O niln).
+
+Parameter inv_empty : (n,a:nat)(l:(listn n)) ~(empty (S n) (consn n a l)).
+
+Type 
+[n:nat] [l:(listn n)]
+  <[n:nat] [l:(listn n)](empty n l) \/ ~(empty n l)>Cases l of 
+        niln               =>  (or_introl ? ~(empty O niln) intro_empty)
+   |  ((consn n O y) as b) =>  (or_intror (empty (S n) b) ? (inv_empty n O y))
+   |  ((consn n a y) as b) =>  (or_intror (empty (S n) b) ? (inv_empty n a y))
+
+  end.
+
+
+Type 
+[n:nat] [l:(listn n)]
+  <[n:nat] [l:(listn n)](empty n l) \/ ~(empty n l)>Cases l of 
+        niln               =>  (or_introl ? ~(empty O niln) intro_empty)
+   |  (consn n O y)  =>  (or_intror (empty (S n) (consn n O y)) ? 
+                                              (inv_empty n O y))
+   |  (consn n a y) =>  (or_intror (empty (S n) (consn n a y)) ? 
+                                          (inv_empty n a y))
+
+  end.
+
+
+
+Type 
+[n:nat] [l:(listn n)]
+  <[n:nat] [l:(listn n)](empty n l) \/ ~(empty n l)>Cases l of 
+        niln               =>  (or_introl ? ~(empty O niln) intro_empty)
+   |  ((consn O a y) as b) =>  (or_intror (empty (S O) b) ? (inv_empty O a y))
+   |  ((consn n a y) as b) =>  (or_intror (empty (S n) b) ? (inv_empty n a y))
+
+  end.
-- 
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