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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 "delayed_updating/substitution/prelift_label.ma".
+include "ground/relocation/tr_pap_eq.ma".
+
+(* PRELIFT FOR LABEL ********************************************************)
+
+(* constructions with tr_map_eq *********************************************)
+
+lemma prelift_label_eq_repl (l):
+      stream_eq_repl … (λf1,f2. ↑[f1]l = ↑[f2]l).
+* //
+#k #f1 #f2 #Hf
+<prelift_label_d <prelift_label_d
+/3 width=1 by tr_pap_eq_repl, eq_f/
+qed.