matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_path_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_path.ma".
  16 include "delayed_updating/unwind/unwind2_rmap_eq.ma".
  17
  18 (* TAILED UNWIND FOR PATH ***************************************************)
  19
  20 (* Constructions with tr_map_eq *********************************************)
  21
  22 lemma unwind2_path_eq_repl (p):
  23       stream_eq_repl … (λf1,f2. ▼[f1]p = ▼[f2]p).
  24 * // * [ #k ] #p #f1 #f2 #Hf //
  25 <unwind2_path_d_dx <unwind2_path_d_dx
  26 lapply (unwind2_rmap_eq_repl … Hf) -Hf
  27 [| #Hf <(tr_pap_eq_repl … Hf) -f2 ] //
  28 qed-.
  29