X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Fcoercions.ma;h=337ef50edc1fc2a63bb1600e0ca6f0f32dc005f8;hb=8aaf525856e25bcd8f355e505fd00f45c62bc18f;hp=21bf994ce1d73e8bfab6db82571251081d99ae68;hpb=7c4e75d43137f6bc529d1c42a298a72a3548a912;p=helm.git

diff --git a/helm/matita/tests/coercions.ma b/helm/matita/tests/coercions.ma
index 21bf994ce..337ef50ed 100644
--- a/helm/matita/tests/coercions.ma
+++ b/helm/matita/tests/coercions.ma
@@ -12,33 +12,20 @@ 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.
+alias symbol "eq" (instance 0) = "leibnitz's equality".
 
+theorem a: fst O one = fst (positive O) (next one).
+reflexivity.
+qed.