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(*       ___                                                              *)
(*      ||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 "ground/lib/stream_tls.ma".
include "ground/arith/nat_pred_succ.ma".
include "ground/relocation/pstream_tl.ma".

(* RELOCATION P-STREAM ******************************************************)

(* Properties with stream_tls ************************************************)

lemma tls_next: ∀f. ∀p:pnat. ⫰*[p]f = ⫰*[p]↑f.
#f #p >(npsucc_pred p) <stream_tls_swap <stream_tls_swap //
qed.