From 3ef7797ef6fc605dfafb32523261fe1b023aeecb Mon Sep 17 00:00:00 2001
From: Samuel Mimram <smimram@debian.org>
Date: Fri, 28 Apr 2006 14:59:16 +0000
Subject: Imported Upstream version 8.0pl3+8.1alpha

---
 test-suite/ideal-features/Case4.v | 73 ++++++++++++++++++---------------------
 1 file changed, 34 insertions(+), 39 deletions(-)

(limited to 'test-suite/ideal-features/Case4.v')

diff --git a/test-suite/ideal-features/Case4.v b/test-suite/ideal-features/Case4.v
index d8f14a4e..cb076a71 100644
--- a/test-suite/ideal-features/Case4.v
+++ b/test-suite/ideal-features/Case4.v
@@ -1,39 +1,34 @@
-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.
-
+Inductive listn : nat -> Set :=
+  | niln : listn 0
+  | consn : forall n : nat, nat -> listn n -> listn (S n).
+
+Inductive empty : forall n : nat, listn n -> Prop :=
+    intro_empty : empty 0 niln.
+
+Parameter
+  inv_empty : forall (n a : nat) (l : listn n), ~ empty (S n) (consn n a l).
+
+Type
+  (fun (n : nat) (l : listn n) =>
+   match l in (listn n) return (empty n l \/ ~ empty n l) with
+   | niln => or_introl (~ empty 0 niln) intro_empty
+   | consn n O y as b => or_intror (empty (S n) b) (inv_empty n 0 y)
+   | consn n a y as b => or_intror (empty (S n) b) (inv_empty n a y)
+   end).
+
+
+Type
+  (fun (n : nat) (l : listn n) =>
+   match l in (listn n) return (empty n l \/ ~ empty n l) with
+   | niln => or_introl (~ empty 0 niln) intro_empty
+   | consn n O y => or_intror (empty (S n) (consn n 0 y)) (inv_empty n 0 y)
+   | consn n a y => or_intror (empty (S n) (consn n a y)) (inv_empty n a y)
+   end).
+
+Type
+  (fun (n : nat) (l : listn n) =>
+   match l in (listn n) return (empty n l \/ ~ empty n l) with
+   | niln => or_introl (~ empty 0 niln) intro_empty
+   | consn O a y as b => or_intror (empty 1 b) (inv_empty 0 a y)
+   | consn n a y as b => or_intror (empty (S n) b) (inv_empty n a y)
+   end).
-- 
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