incomplete proof completed.

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

diff --git a/helm/matita/tests/coercions.ma b/helm/matita/tests/coercions.ma
index 9e47c3e1e5b6b99ab0677a9344799b14e44bb4f1..8a45f29295d067744e28346312b7fd5558393f60 100644 (file)
--- a/helm/matita/tests/coercions.ma
+++ b/helm/matita/tests/coercions.ma
@@ -17,24 +17,18 @@ let rec pos2nat x \def
   [ one \Rightarrow (S O)
   | (next z) \Rightarrow S (pos2nat z)].
 
-let rec nat2int x \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 \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.