--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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.