X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Fcoercions.ma;h=ae69759bf4c083fe6ccaf5c4acb2325631d5e69d;hb=4167cea65ca58897d1a3dbb81ff95de5074700cc;hp=21bf994ce1d73e8bfab6db82571251081d99ae68;hpb=7c4e75d43137f6bc529d1c42a298a72a3548a912;p=helm.git

diff --git a/helm/matita/tests/coercions.ma b/helm/matita/tests/coercions.ma
index 21bf994ce..ae69759bf 100644
--- a/helm/matita/tests/coercions.ma
+++ b/helm/matita/tests/coercions.ma
@@ -1,3 +1,20 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/coercions/".
+include "coq.ma".
+
 inductive pos: Set \def
 | one : pos
 | next : pos \to pos.
@@ -12,33 +29,19 @@ inductive int: Set \def
 
 inductive empty : Set \def .
 
-let rec pos2nat (x:pos) : nat  \def 
+let rec pos2nat x \def 
   match x with  
   [ one \Rightarrow (S O)
   | (next z) \Rightarrow S (pos2nat z)].
 
-let rec nat2int (x:nat) :int \def
-  match x with
-  [ O \Rightarrow positive O
-  | (S z) \Rightarrow positive (S z)].
+definition nat2int \def \lambda x. positive x.
 
 coercion pos2nat.
 
 coercion nat2int.
 
-let rec plus (x,y:int) on x : int \def
-  match x with
-  [ (positive n) \Rightarrow x
-  | (negative z) \Rightarrow y].
-
-theorem a: plus O one.
-
-
-
-
-
-
-
-
-
+definition fst \def \lambda x,y:int.x.
 
+theorem a: fst O one = fst (positive O) (next one).
+reflexivity.
+qed.