--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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/paramodulation".
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+alias symbol "plus" (instance 0) = "natural plus".
+alias num (instance 0) = "natural number".
+alias symbol "times" (instance 0) = "natural times".
+
+theorem para1:
+ \forall n,m,n1,m1:nat.
+ n=m \to n1 = m1 \to (n + n1) = (m + m1).
+intros. auto.
+qed.
+
+theorem para2:
+ \forall n:nat. n + n = 2 * n.
+intros. auto.
+qed.
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