]> matita.cs.unibo.it Git - helm.git/blob - matita/matita/tests/fold.ma
init_copy init_match
[helm.git] / matita / matita / tests / fold.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 num (instance 0) = "natural number".
19 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
20 alias symbol "plus" (instance 0) = "Coq's natural plus".
21 theorem t: \forall x:nat. 0+x=x.
22  intro.
23  simplify in match (0+x) in \vdash (? ? % ?).
24  fold simplify (0 + x) in \vdash (? ? % ?).
25  reflexivity.
26 qed.