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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_simple.ma
deleted file mode 100644
index 71951a7ee..000000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_simple.ma
+++ /dev/null
@@ -1,26 +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 "basic_2/rt_transition/cpm_simple.ma".
-include "basic_2/rt_transition/cnh.ma".
-
-(* NORMAL TERMS HEAD FOR T-UNUNBOUND RT-TRANSITION **************************)
-
-(* Advanced properties with simple terms ************************************)
-
-lemma cnh_appl_simple (h) (G) (L): ∀V,T. 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃ⓐV.T⦄.
-#h #G #L #V1 #T1 #HT1 #n #X #H
-elim (cpm_inv_appl1_simple … H HT1) -H -HT1 #V2 #T2 #_ #_ #H destruct
-/1 width=1 by theq_pair/
-qed.