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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/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.