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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/cprs_tpss.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/cprs_tpss.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/reducibility/cpr_tpss.ma".
-include "basic_2/computation/cprs.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL COMPUTATION ON TERMS **************************)
-
-(* Properties on partial unfold for terms ***********************************)
-
-lemma cprs_tpss_trans: ∀L,T1,T. L ⊢ T1 ➡* T →
-                       ∀T2,d,e. L ⊢ T ▶* [d, e] T2 → L ⊢ T1 ➡* T2.
-#L #T1 #T #H @(cprs_ind … H) -T /2 width=3/ /3 width=5/
-qed.
-
-lemma cprs_tps_trans: ∀L,T1,T. L ⊢ T1 ➡* T →
-                      ∀T2,d,e. L ⊢ T ▶ [d, e] T2 → L ⊢ T1 ➡* T2.
-/3 width=5 by inj, cprs_tpss_trans/ qed. (**) (* auto too slow without trace *)
-
-lemma cprs_tpss_conf: ∀L,T0,T1. L ⊢ T0 ➡* T1 →
-                      ∀T2,d,e. L ⊢ T0 ▶* [d, e] T2 →
-                      ∃∃T. L ⊢ T1 ▶* [d, e] T & L ⊢ T2 ➡* T.
-#L #T0 #T1 #H @(cprs_ind … H) -T1 /2 width=3/
-#T #T1 #_ #HT1 #IHT0 #T2 #d #e #HT02
-elim (IHT0 … HT02) -T0 #T0 #HT0 #HT20
-elim (cpr_tpss_conf … HT1 … HT0) -T /3 width=5/
-qed-.