matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind3/unwind_lift.etc

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "delayed_updating/unwind3/unwind_structure.ma".
  16 include "delayed_updating/substitution/lift_structure.ma".
  17
  18 (* UNWIND FOR PATH **********************************************************)
  19
  20 (* Constructions with lift **************************************************)
  21
  22 lemma pippo (p) (n:pnat) (f):
  23       ↑[𝐮❨n❩]▼[⇂*[n]f]p = ▼[𝐮❨n❩∘f]p.
  24 #p @(list_ind_rcons … p) -p //
  25 #p * [ #m ] #IH #n #f //
  26 [
  27 | <unwind_path_m_dx
  28
  29  //
  30 <depth_d_dx >list_cons_shift <list_append_assoc <unwind_rmap_d_dx
  31 /3 width=3 by tr_tls_compose_uni_sn, stream_eq_trans/
  32 qed.