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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_lifts.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_lifts.ma
deleted file mode 100644
index 3bbfeee85..000000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_lifts.ma
+++ /dev/null
@@ -1,32 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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 "static_2/relocation/lifts.ma".
-include "basic_2/rt_transition/cnh.ma".
-
-(* NORMAL TERMS FOR HEAD T-UNUNBOUND RT-TRANSITION **************************)
-
-(* Advanced properties with uniform relocation for terms ********************)
-
-lemma cnh_lref (h) (I) (G) (L):
-      ∀i. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃#i⦄ → ⦃G,L.ⓘ{I}⦄ ⊢ ⥲[h] 𝐍⦃#↑i⦄.
-#h #I #G #L #i #Hi #n #X #H
-elim (cpm_inv_lref1 … H) -H *
-[ #H #_ destruct //
-| #J #K #V #HV #HVX #H destruct
-  lapply (Hi … HV) -Hi -HV #HV
-  lapply (theq_inv_lref1 … HV) -HV #H destruct
-  lapply (lifts_inv_lref1_uni … HVX) -HVX #H destruct //
-]
-qed.