milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_uni.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_uni.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_u_1.ma".
+include "ground/relocation/gr_nexts.ma".
+include "ground/relocation/gr_id.ma".
+
+(* UNIFORM ELEMENTS FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(*** uni *)
+definition gr_uni (n) ≝ ↑*[n] 𝐢.
+
+interpretation
+  "uniform elements (generic relocation maps)"
+  'ElementU n = (gr_uni n).
+
+(* Basic properties *********************************************************)
+
+(*** uni_zero *)
+lemma gr_uni_zero: 𝐢 = 𝐮❨𝟎❩.
+// qed.
+
+(*** uni_succ *)
+lemma gr_uni_succ (n): ↑𝐮❨n❩ = 𝐮❨↑n❩.
+/2 width=1 by gr_nexts_succ/ qed.