matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_structure_inner.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 "delayed_updating/syntax/path_structure.ma".
  16 include "delayed_updating/syntax/path_inner.ma".
  17
  18 (* STRUCTURE FOR PATH *******************************************************)
  19
  20 (* Constructions with pic ***************************************************)
  21
  22 lemma structure_pic (p):
  23       ⊗p ϵ 𝐈.
  24 #p elim p -p
  25 [ <structure_empty //
  26 | * [ #k ] #p #IH
  27   [ <structure_d_dx //
  28   | <structure_m_dx //
  29   | <structure_L_dx //
  30   | <structure_A_dx //
  31   | <structure_S_dx //
  32   ]
  33 ]
  34 qed.