milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_tls.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_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/droppreds_2.ma".
+include "ground/lib/stream_tls.ma".
+include "ground/relocation/gr_tl.ma".
+
+(* ITERATED TAIL FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(*** tls *)
+definition gr_tls (n) (f:gr_map) ≝ ⫰*[n]f.
+
+interpretation
+  "iterated tail (generic relocation maps)"
+  'DropPreds n f = (gr_tls n f).
+
+(* Basic properties (specific) *********************************************************)
+
+(*** tls_O *)
+lemma gr_tls_zero (f): f = ⫱*[𝟎] f.
+// qed.
+
+(*** tls_swap *)
+lemma gr_tls_tl (n) (f): ⫱⫱*[n] f = ⫱*[n] ⫱f.
+/2 width=1 by stream_tls_tl/ qed.
+
+(*** tls_S *)
+lemma gr_tls_succ (n) (f): ⫱⫱*[n] f = ⫱*[↑n] f.
+/2 width=1 by stream_tls_succ/ qed.
+
+(*** tls_xn *)
+lemma gr_tls_swap (n) (f): ⫱*[n] ⫱f = ⫱*[↑n] f.
+// qed.