helm/matita/tests/contradiction.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/contradiction".
  16 alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
  17 alias id "not" = "cic:/Coq/Init/Logic/not.con".
  18 alias num (instance 0) = "natural number".
  19 alias symbol "eq" (instance 0) = "leibnitz's equality".
  20
  21
  22
  23 theorem stupid: \forall a:Prop. a \to not a \to 0 = 1.
  24 intros.
  25 letin H \def (H1 H).
  26 contradiction.
  27 qed.
  28
  29
  30