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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_cnh.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_cnh.ma
new file mode 100644
index 000000000..7a65df8d3
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_cnh.ma
@@ -0,0 +1,26 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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.ma".
+include "basic_2/rt_transition/cnh.ma".
+
+(* NORMAL TERMS FOR HEAD T-UNUNBOUND RT-TRANSITION **************************)
+
+(* Advanced properties ******************************************************)
+
+axiom cnh_cpm_trans (h) (n) (G) (L):
+      ∀T1,T2. ⦃G,L⦄ ⊢ T1 ➡[n,h] T2 → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T1⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T2⦄.
+(*
+#h #n #G #L #T1 #T2 #HT1 #n #T2 #HT12 #k #X #HX 
+*)