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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/lift_path.ma".
+include "delayed_updating/syntax/path_guard.ma".
+
+(* LIFT FOR PATH ************************************************************)
+
+(* Constructions with pgc ***************************************************)
+
+lemma lift_path_guard (f) (p):
+      p ϵ 𝐆 → 🠡[f]p ϵ 𝐆.
+#f #p #H0 elim H0 -p //
+qed.