X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Felim.ma;h=9d48bc970ecd46c576942a3911f45b7d974527fe;hb=97c2d258a5c524eb5c4b85208899d80751a2c82f;hp=ab7afafa69e34cf52a33b9530ffaa2aa4e5ab9b6;hpb=cec61c8b027b15b98d308cee8900d9cf35a02d28;p=helm.git

diff --git a/helm/matita/tests/elim.ma b/helm/matita/tests/elim.ma
index ab7afafa6..9d48bc970 100644
--- a/helm/matita/tests/elim.ma
+++ b/helm/matita/tests/elim.ma
@@ -1,5 +1,5 @@
 (**************************************************************************)
-(*       ___	                                                            *)
+(*       ___                                                              *)
 (*      ||M||                                                             *)
 (*      ||A||       A project by Andrea Asperti                           *)
 (*      ||T||                                                             *)
@@ -13,6 +13,7 @@
 (**************************************************************************)
 
 set "baseuri" "cic:/matita/tests/elim".
+include "coq.ma".
 
 inductive stupidtype: Set \def
   | Base : stupidtype
@@ -37,10 +38,10 @@ intros.
 elim a.
 clear a.left.left.
   reflexivity.
-clear H.clear H1.clear a.right.
-  exists.exact s.exists.exact s1.reflexivity.
 clear H.clear a.left.right.
   exists.exact s.reflexivity.
+clear H.clear H1.clear a.right.
+  exists.exact s.exists.exact s1.reflexivity.  
 qed.
 
 theorem t: 0=0 \to stupidtype.
@@ -52,3 +53,28 @@ qed.
 theorem foo: let ax \def refl_equal ? 0 in t ax = t ax.
  elim t; reflexivity.
 qed.
+
+(* This test shows a bug where elim opens a new unus{ed,eful} goal *)
+
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+alias id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
+
+inductive sum (n:nat) : nat \to nat \to Set \def
+  k: \forall x,y. n = x + y \to sum n x y.
+  
+theorem t': \forall x,y. \forall H: sum x y O.
+          match H with [ (k a b p) \Rightarrow a ] = x.
+ intros.
+ cut (y = y \to O = O \to match H with [ (k a b p) \Rightarrow a] = x).
+ apply Hcut; reflexivity.
+ apply
+  (sum_ind ?
+    (\lambda a,b,K. y=a \to O=b \to
+        match K with [ (k a b p) \Rightarrow a ] = x)
+     ? ? ? H).
+ goal 16.
+ simplify. intros.
+ generalize in match H1.
+ rewrite < H2; rewrite < H3.intro.
+ rewrite > H4.auto.
+qed.