update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_nexts_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_nexts_eq.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/relocation/pr_eq.ma".
+include "ground/relocation/pr_nexts.ma".
+
+(* ITERATED NEXT FOR PARTIAL RELOCATION MAPS ********************************)
+
+(* Constructions with pr_eq *************************************************)
+
+(*** nexts_eq_repl *)
+lemma pr_nexts_eq_repl (n):
+      pr_eq_repl (λf1,f2. ↑*[n] f1 ≡ ↑*[n] f2).
+#n @(nat_ind_succ … n) -n
+/3 width=5 by pr_eq_next/
+qed.