]> matita.cs.unibo.it Git - helm.git/blob - matita/matita/tests/paramodulation.ma
init_copy init_match
[helm.git] / matita / matita / tests / paramodulation.ma
1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15
16 include "coq.ma".
17 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
18 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
19 alias symbol "plus" (instance 0) = "Coq's natural plus".
20 alias num (instance 0) = "Coq natural number".
21 alias symbol "times" (instance 0) = "Coq's natural times".
22
23 theorem para1:
24   \forall n,m,n1,m1:nat.
25     n=m \to n1 = m1 \to (n + n1) = (m + m1).
26 intros. autobatch paramodulation.
27 qed.
28
29 theorem para2:
30   \forall n:nat. n + n = 2 * n.
31 intros. autobatch paramodulation library.
32 qed.