helm/software/matita/tests/ng_uris_and_notation.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 include "ng_pts.ma".
  16 include "nat/nat.ma".
  17
  18 ndefinition foo: nat ≝ O.
  19
  20 ndefinition goo ≝ cic:/matita/nat/nat/nat.ind#xpointer(1/1/1).
  21
  22 ndefinition goo' ≝ cic:/matita/tests/ng_uris_and_notation/foo.def(1).
  23
  24 ntheorem xx: goo' = cic:/matita/tests/ng_uris_and_notation/foo.def(1).
  25  nnormalize;
  26  napply (refl_eq ? O);
  27 nqed.
  28
  29 naxiom ax: nat.
  30
  31 ntheorem yy: ax = cic:/matita/tests/ng_uris_and_notation/ax.dec.
  32  napply (refl_eq ??);
  33 nqed.
  34
  35 ndefinition nnat: Type ≝ nat.
  36
  37 interpretation "NNatural numbers" 'N = cic:/matita/tests/ng_uris_and_notation/nnat.def(1).
  38
  39 ndefinition nnnat: Type ≝ nnat.
  40
  41 interpretation "NNNatural numbers" 'N = nnnat.
  42
  43 ndefinition try_notation: nnat → nnnat.
  44  napply (λx.x);
  45 nqed.