From 0dbd5619f82e575948ba583317706b4e794f57eb Mon Sep 17 00:00:00 2001
From: Claudio Sacerdoti Coen <claudio.sacerdoticoen@unibo.it>
Date: Wed, 15 Jun 2005 10:54:22 +0000
Subject: [PATCH] incomplete proof completed.

---
 helm/matita/tests/coercions.ma | 18 ++++++------------
 helm/matita/tests/test3.ma     |  4 +---
 2 files changed, 7 insertions(+), 15 deletions(-)

diff --git a/helm/matita/tests/coercions.ma b/helm/matita/tests/coercions.ma
index 9e47c3e1e..8a45f2929 100644
--- 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.
 
 
 
diff --git a/helm/matita/tests/test3.ma b/helm/matita/tests/test3.ma
index e589c5aaa..cb2cece18 100644
--- a/helm/matita/tests/test3.ma
+++ b/helm/matita/tests/test3.ma
@@ -1,7 +1,6 @@
 alias symbol "eq" (instance 0) = "leibnitz's equality".
 theorem a:\forall x.x=x.
 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
-goal 5.
 exact nat.
 intro.
 reflexivity.
@@ -12,5 +11,4 @@ alias symbol "times" (instance 0) = "natural times".
 theorem b:\forall p:nat. p * 0=0.
 intro.
 auto.
-abort.
-qed.
\ No newline at end of file
+qed.
-- 
2.39.2