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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cpue.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cpue.etc
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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/notation/relations/prediteval_5.ma".
+include "basic_2/rt_transition/cnu.ma".
+include "basic_2/rt_computation/cpms.ma".
+
+(* EVALUATION FOR T-UNBOUND RT-TRANSITION ON TERMS **************************)
+
+definition cpue (h) (G) (L): relation2 term term ≝
+           λT1,T2. ∃∃n. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 & ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T2⦄.
+
+interpretation "evaluation for t-unbound context-sensitive parallel rt-transition (term)"
+   'PRedITEval h G L T1 T2 = (cpue h G L T1 T2).