added test for elim

diff --git a/helm/matita/tests/elim.ma b/helm/matita/tests/elim.ma
new file mode 100644 (file)
index 0000000..1623ff0
--- /dev/null
+++ b/helm/matita/tests/elim.ma
@@ -0,0 +1,41 @@
+(**************************************************************************)
+(*       ___                                                               *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/elim".
+
+inductive stupidtype: Set \def
+  | Base : stupidtype
+  | Next : stupidtype \to stupidtype
+  | Pair : stupidtype \to stupidtype \to stupidtype.
+  
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+alias symbol "exists" (instance 0) = "exists".
+alias symbol "or" (instance 0) = "logical or".
+  
+theorem serious:
+  \forall a:stupidtype.
+    a = Base 
+  \lor 
+    (\exists b:stupidtype.a = Next b) 
+  \lor 
+    (\exists c,d:stupidtype.a = Pair c d).
+intros.
+elim a.
+clear a.left.left.
+  reflexivity.
+clear H.clear H1.clear a.right.
+  exists.exact e2.exists.exact e1.reflexivity.
+clear H.clear a.left.right.
+  exists.exact e3.reflexivity.
+qed.
\ No newline at end of file