helm/matita/tests/test3.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 set "baseuri" "cic:/matita/tests/test3/".
  16 include "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.
  31 qed.