fix

[helm.git] / helm / matita / tests / coercions.ma

diff --git a/helm/matita/tests/coercions.ma b/helm/matita/tests/coercions.ma
index 3d1279133e7c956d82f4051e67fa63a23aab8e70..337ef50edc1fc2a63bb1600e0ca6f0f32dc005f8 100644 (file)
--- 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 \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.