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