--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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/syntax/tueq_tueq.ma".
+include "basic_2/rt_transition/cpm_tueq.ma".
+include "basic_2/rt_transition/cnu.ma".
+
+(* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
+
+(* Advanced properties ******************************************************)
+
+lemma cnu_tueq_trans (h) (G) (L):
+ ∀T1. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T1⦄ → ∀T2.T1 ≅ T2 → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T2⦄.
+#h #G #L #T1 #HT1 #T2 #HT12 #n #T0 #HT20
+@(tueq_canc_sn … HT12)
+elim (tueq_cpm_trans … HT12 … HT20) -T2 #T2 #HT13 #HT30
+/3 width=3 by tueq_trans/
+qed-.