matita/matita/contribs/lambdadelta/delayed_updating/unwind/preunwind2_rmap_lift.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/preunwind2_rmap.ma".
  16 include "delayed_updating/substitution/prelift_label.ma".
  17 include "delayed_updating/substitution/prelift_rmap.ma".
  18 include "ground/relocation/tr_uni_compose.ma".
  19 include "ground/relocation/tr_compose_compose.ma".
  20 include "ground/relocation/tr_compose_eq.ma".
  21 include "ground/lib/stream_eq_eq.ma".
  22
  23 (* TAILED PREUNWIND FOR RELOCATION MAP **************************************)
  24
  25 (* Constructions with lift_path *********************************************)
  26
  27 lemma preunwind2_lift_rmap_after (g) (f) (l):
  28       ▶[g]↑[f]l∘↑[l]f ≗ ▶[g∘f]l.
  29 #g #f * // #k
  30 <prelift_label_d <prelift_rmap_d <preunwind2_rmap_d <preunwind2_rmap_d
  31 @(stream_eq_trans … (tr_compose_assoc …))
  32 @(stream_eq_canc_dx … (tr_compose_assoc …))
  33 /2 width=1 by tr_compose_eq_repl/
  34 qed.