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+(**************************************************************************)
+(* ___ *)
+(* ||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/generalize".
+
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+alias symbol "plus" (instance 0) = "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. x + 4 = 4 + x.
+ generalize in match 4.
+ exact plus_comm.
+qed.
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