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diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/lifts_lifts.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/lifts_lifts.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 "basic_2/unfold/lifts_lift.ma".
+
+(* GENERIC RELOCATION *******************************************************)
+
+(* Main properties **********************************************************)
+
+(* Basic_1: was: lift1_lift1 (left to right) *)
+theorem lifts_trans: ∀T1,T,des1. ⇧*[des1] T1 ≡ T → ∀T2:term. ∀des2. ⇧*[des2] T ≡ T2 →
+                     ⇧*[des1 @@ des2] T1 ≡ T2.
+#T1 #T #des1 #H elim H -T1 -T -des1 // /3 width=3/
+qed.