branch for universe

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

diff --git a/matita/tests/generalize.ma b/matita/tests/generalize.ma
new file mode 100644 (file)
index 0000000..077eb32
--- /dev/null
+++ b/matita/tests/generalize.ma
@@ -0,0 +1,37 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+include "coq.ma".
+
+alias num (instance 0) = "Coq natural number".
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+alias symbol "plus" (instance 0) = "Coq's natural plus".
+alias id "plus_comm" = "cic:/Coq/Arith/Plus/plus_comm.con".
+alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
+
+(* This tests is for the case of a pattern that contains metavariables *)
+theorem t: \forall x. x + 4 = 4 + x.
+ intro.
+ generalize in match (S ?).
+ intro; apply plus_comm.
+qed. 
+ 
+(* This test used to fail because x was used in the wrong context *)
+(* Once this was fixed it still did not work since apply is not   *)
+(* able to solve a goal that ends in a product.                   *)
+theorem test2: \forall x. 4 + x = x + 4.
+ generalize in match 4.
+ exact plus_comm.
+qed.