matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_eq.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/unwind/unwind2_rmap.ma".
  16 include "ground/relocation/tr_compose_eq.ma".
  17 include "ground/relocation/tr_pn_eq.ma".
  18
  19 (* UNWIND MAP FOR PATH ******************************************************)
  20
  21 (* Constructions with stream_eq *********************************************)
  22
  23 lemma unwind2_rmap_eq_repl (p):
  24       stream_eq_repl … (λf1,f2. ▶[f1]p ≗ ▶[f2]p).
  25 #p elim p -p //
  26 * [ #n ] #p #IH #f1 #f2 #Hf
  27 [ /3 width=1 by tr_compose_eq_repl/
  28 | /2 width=1 by/
  29 | /3 width=1 by tr_push_eq_repl/
  30 | /2 width=1 by/
  31 | /2 width=1 by/
  32 ]
  33 qed-.