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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lsubn/lsubn_cpcs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lsubn/lsubn_cpcs.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/equivalence/cpcs_cpcs.ma".
-include "basic_2/dynamic/lsubn.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR NATIVE TYPE ASSIGNMENT ******************)
-
-(* Properties on context-sensitive parallel equivalence for terms ***********)
-
-(* Basic_1: was: csubt_pr2 *)
-lemma cpr_lsubn_trans: ∀h,L1,L2. h ⊢ L1 :⊑ L2 →
-                       ∀T1,T2. L2 ⊢ T1 ➡ T2 → L1 ⊢ T1 ➡ T2.
-/3 width=4 by lsubn_fwd_lsubs2, cpr_lsubs_trans/ qed.
-
-lemma cprs_lsubn_trans: ∀h,L1,L2. h ⊢ L1 :⊑ L2 →
-                        ∀T1,T2. L2 ⊢ T1 ➡* T2 → L1 ⊢ T1 ➡* T2.
-/3 width=4 by lsubn_fwd_lsubs2, cprs_lsubs_trans/ qed.
-
-(* Basic_1: was: csubt_pc3 *)
-lemma cpcs_lsubn_trans: ∀h,L1,L2. h ⊢ L1 :⊑ L2 →
-                        ∀T1,T2. L2 ⊢ T1 ⬌* T2 → L1 ⊢ T1 ⬌* T2.
-/3 width=4 by lsubn_fwd_lsubs2, cpcs_lsubs_trans/ qed.