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diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpe.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpe.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/computation/cprs.ma".
-include "basic_2/computation/csn.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL EVALUATION ON TERMS **************************)
-
-definition cpe: lenv → relation term ≝
-                λL,T1,T2. L ⊢ T1 ➡* T2 ∧ L ⊢ 𝐍⦃T2⦄.
-
-interpretation "context-sensitive parallel evaluation (term)"
-   'PEval L T1 T2 = (cpe L T1 T2).
-
-(* Basic_properties *********************************************************)
-
-(* Basic_1: was: nf2_sn3 *)
-lemma cpe_csn: ∀L,T1. L ⊢ ⬊* T1 → ∃T2. L ⊢ T1 ➡* 𝐍⦃T2⦄.
-#L #T1 #H @(csn_ind … H) -T1
-#T1 #_ #IHT1
-elim (cnf_dec L T1) /3 width=3/
-* #T #H1T1 #H2T1
-elim (IHT1 … H1T1 H2T1) -IHT1 -H2T1 #T2 * /4 width=3/
-qed.