matita/matita/contribs/lambdadelta/delayed_updating/syntax/label.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 "ground/arith/pnat.ma".
  16 include "delayed_updating/notation/functions/nodelabel_d_1.ma".
  17 include "delayed_updating/notation/functions/edgelabel_l_0.ma".
  18 include "delayed_updating/notation/functions/edgelabel_a_0.ma".
  19 include "delayed_updating/notation/functions/edgelabel_s_0.ma".
  20
  21 (* LABEL ********************************************************************)
  22
  23 inductive label: Type[0] ≝
  24 | label_node_d: pnat → label
  25 | label_edge_l: label
  26 | label_edge_a: label
  27 | label_edge_s: label
  28 .
  29
  30 coercion label_node_d.
  31
  32 interpretation
  33   "variable reference by depth (label)"
  34   'NodeLabelD p = (label_node_d p).
  35
  36 interpretation
  37   "name-free functional abstruction (label)"
  38   'EdgeLabelL = (label_edge_l).
  39
  40 interpretation
  41   "application (label)"
  42   'EdgeLabelA = (label_edge_a).
  43
  44 interpretation
  45   "side branch (label)"
  46   'EdgeLabelS = (label_edge_s).