(**************************************************************************)
(*       ___                                                              *)
(*      ||M||                                                             *)
(*      ||A||       A project by Andrea Asperti                           *)
(*      ||T||                                                             *)
(*      ||I||       Developers:                                           *)
(*      ||T||         The HELM team.                                      *)
(*      ||A||         http://helm.cs.unibo.it                             *)
(*      \   /                                                             *)
(*       \ /        This file is distributed under the terms of the       *)
(*        v         GNU General Public License Version 2                  *)
(*                                                                        *)
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include "delayed_updating/unwind3/unwind_structure.ma".
include "delayed_updating/substitution/lift_structure.ma".

(* UNWIND FOR PATH **********************************************************)

(* Constructions with lift **************************************************)

lemma pippo (p) (n:pnat) (f):
      ↑[𝐮❨n❩]▼[⇂*[n]f]p = ▼[𝐮❨n❩∘f]p.
#p @(list_ind_rcons … p) -p //
#p * [ #m ] #IH #n #f //
[
| <unwind_path_m_dx

 //
<depth_d_dx >list_cons_shift <list_append_assoc <unwind_rmap_d_dx
/3 width=3 by tr_tls_compose_uni_sn, stream_eq_trans/
qed.