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added few more fun to this test
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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 set "baseuri" "cic:/matita/tests/test3/".
16 include "../legacy/coq.ma".
17
18 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
19 theorem a:\forall x.x=x.
20 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
21 [ exact nat.
22 | intro. reflexivity.
23 ]
24 qed.
25 alias num (instance 0) = "natural number".
26 alias symbol "times" (instance 0) = "Coq's natural times".
27
28 theorem b:\forall p:nat. p * 0=0.
29 intro.
30 auto new library.
31 qed.