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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_aaa.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/reduction/lpx_aaa.ma".
-include "basic_2/computation/cpxs.ma".
-
-(* CONTEXT-SENSITIVE EXTENDED PARALLEL COMPUTATION ON TERMS *****************)
-
-(* Properties about atomic arity assignment on terms ************************)
-
-lemma cpxs_aaa_conf: ∀h,o,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                     ∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h, o] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
-#h #o #G #L #T1 #A #HT1 #T2 #HT12
-@(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by cpx_aaa_conf/
-qed-.
-
-lemma cprs_aaa_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ⬈* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
-/3 width=5 by cpxs_aaa_conf, cprs_cpxs/ qed-.