helm/matita/tests/bad_tests/auto.ma

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   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/auto/".
  16 include "coq.ma".
  17
  18 alias id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
  19 alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
  20 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
  21 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
  22 alias symbol "minus" (instance 0) = "Coq's natural minus".
  23 alias symbol "plus" (instance 0) = "Coq's natural plus".
  24 alias symbol "times" (instance 0) = "Coq's natural times".
  25 theorem a : \forall x,y:nat. x*x+(S y) = O - x.
  26 intros.
  27 auto depth = 3.