helm/matita/tests/change.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/change/".
  16 alias num (instance 0) = "natural number".
  17 alias symbol "eq" (instance 0) = "leibnitz's equality".
  18 alias symbol "plus" (instance 0) = "natural plus".
  19 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
  20
  21 theorem stupid:
  22   \forall a:nat.
  23   a = 5 \to
  24   (3 + 2) = a.
  25 intros.
  26 change in \vdash (? ? % ?) with 5.
  27 rewrite < H in \vdash (? ? % ?).
  28 reflexivity.
  29 qed.