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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_cpmuwe.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_cpmuwe.ma
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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_computation/cnuw_cnuw.ma".
+include "basic_2/rt_computation/cpmuwe.ma".
+
+(* T-UNBOUND WHD EVALUATION FOR T-BOUND RT-TRANSITION ON TERMS **************)
+
+(* Advanced properties ******************************************************)
+
+lemma cpmuwe_abbr_neg (h) (n) (G) (L) (T):
+      ∀V,U. ⦃G,L⦄ ⊢ T ➡*[n,h] -ⓓV.U → ⦃G,L⦄ ⊢ T ➡*𝐍𝐖*[h,n] -ⓓV.U.
+/3 width=5 by cnuw_abbr_neg, cpmuwe_intro/ qed.
+
+lemma cpmuwe_abst (h) (n) (p) (G) (L) (T):
+      ∀W,U. ⦃G,L⦄ ⊢ T ➡*[n,h] ⓛ{p}W.U → ⦃G,L⦄ ⊢ T ➡*𝐍𝐖*[h,n] ⓛ{p}W.U.
+/3 width=5 by cnuw_abst, cpmuwe_intro/ qed.