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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/cpr_tpss.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/cpr_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/ltpr_tpss.ma".
-include "basic_2/reducibility/cpr.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
-
-(* Properties on partial unfold for terms ***********************************)
-
-lemma cpr_tpss_trans: ∀L,T1,T. L ⊢ T1 ➡ T →
-                      ∀T2,d,e. L ⊢ T ▶* [d, e] T2 → L ⊢ T1 ➡ T2.
-#L #T1 #T * #T0 #HT10 #HT0 #T2 #d #e #HT2
-lapply (tpss_weak_full … HT2) -HT2 #HT2
-lapply (tpss_trans_eq … HT0 HT2) -T /2 width=3/
-qed.
-
-lemma cpr_tps_trans: ∀L,T1,T. L ⊢ T1 ➡ T →
-                     ∀T2,d,e. L ⊢ T ▶ [d, e] T2 → L ⊢ T1 ➡ T2.
-/3 width=5/ qed.
-
-lemma cpr_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 * #U0 #HTU0 #HU0T1 #T2 #d #e #HT02
-elim (tpr_tpss_conf … HTU0 … HT02) -T0 #T0 #HT20 #HUT0
-elim (tpss_conf_eq … HU0T1 … HUT0) -U0 /3 width=5/
-qed-.