matita/tests/clearbody.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/clearbody".
  16 include "legacy/coq.ma".
  17 alias num (instance 0) = "natural number".
  18 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
  19 alias symbol "plus" (instance 0) = "Coq's natural plus".
  20
  21
  22 theorem stupid :
  23   let x \def 0 + 1 in x + 2 = x + 2.
  24   intros.
  25   clearbody x.
  26   simplify.
  27   generalize in \vdash (? ? (? % ?) (? % ?)).
  28   intros.
  29   reflexivity.
  30   qed.
  31