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diff --git a/matita/matita/contribs/lambda_delta/basic_2/equivalence/lsubse_cpcs.ma b/matita/matita/contribs/lambda_delta/basic_2/equivalence/lsubse_cpcs.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/equivalence/cpcs_cpcs.ma".
-include "basic_2/equivalence/lsubse.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR CONTEXT-SENSITIVE PARALLEL EQUIVALENCE **)
-
-(* Properties on context-sensitive parallel equivalence for terms ***********)
-
-lemma lsubse_cpcs_trans: ∀h,g,L1,L2. h ⊢ L1 ⊢•⊑[g] L2 →
-                         ∀T1,T2. L2 ⊢ T1 ⬌* T2 → L1 ⊢ T1 ⬌* T2.
-/3 width=5 by lsubse_fwd_lsubs2, cpcs_lsubs_trans/
-qed-.