update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / pr_tls.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_tls.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_tls.ma
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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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "ground/notation/functions/downspoonstar_2.ma".
+include "ground/lib/stream_tls.ma".
+include "ground/relocation/pr_tl.ma".
+
+(* ITERATED TAIL FOR PARTIAL RELOCATION MAPS ********************************)
+
+(*** tls *)
+definition pr_tls (n) (f:pr_map) ≝ ⇂*[n]f.
+
+interpretation
+  "iterated tail (partial relocation maps)"
+  'DownSpoonStar n f = (pr_tls n f).
+
+(* Basic constructions (specific) *******************************************)
+
+(*** tls_O *)
+lemma pr_tls_zero (f): f = ⫰*[𝟎] f.
+// qed.
+
+(*** tls_swap *)
+lemma pr_tls_tl (n) (f): ⫰⫰*[n] f = ⫰*[n] ⫰f.
+/2 width=1 by stream_tls_tl/ qed.
+
+(*** tls_S *)
+lemma pr_tls_succ (n) (f): ⫰⫰*[n] f = ⫰*[↑n] f.
+/2 width=1 by stream_tls_succ/ qed.
+
+(*** tls_xn *)
+lemma pr_tls_swap (n) (f): ⫰*[n] ⫰f = ⫰*[↑n] f.
+// qed.