update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_basic.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_basic.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/element_b_2.ma".
+include "ground/relocation/pr_pushs.ma".
+include "ground/relocation/pr_uni.ma".
+
+(* BASIC ELEMENTS FOR PARTIAL RELOCATION MAPS *******************************)
+
+definition basic (d) (h): pr_map ≝ ⫯*[d] 𝐮❨h❩.
+
+interpretation
+  "basic elements (partial relocation maps)"
+  'ElementB d h = (basic d h).
+
+(* Basic constructions ******************************************************)
+
+(*** at_basic_succ_sn *)
+lemma pr_basic_succ_sn (d) (h): ⫯𝐛❨d,h❩ = 𝐛❨↑d,h❩.
+#d #h >pr_pushs_succ //
+qed.
+
+(*** at_basic_zero_succ *)
+lemma pr_basic_zero_succ (h): ↑𝐛❨𝟎,h❩ = 𝐛❨𝟎,↑h❩.
+#h >pr_nexts_succ //
+qed.