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diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/lfpr_fpr.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/lfpr_fpr.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/reducibility/lfpr.ma".
-include "basic_2/reducibility/cfpr_cpr.ma".
-
-(* FOCALIZED PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ***********************)
-
-(* Inversion lemmas on context-free parallel reduction for closures *********)
-
-lemma fpr_lfpr: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ➡ ⦃L2, T2⦄ → ⦃L1⦄ ➡ ⦃L2⦄.
-#L1 #L2 #T1 #T2 #H
-elim (fpr_inv_all … H) -H /2 width=3/
-qed. 
-
-(* Inversion lemmas on context-free parallel reduction for closures *********)
-
-lemma lfpr_inv_fpr: ∀L1,L2. ⦃L1⦄ ➡ ⦃L2⦄ → ∀T. ⦃L1, T⦄ ➡ ⦃L2, T⦄.
-#L1 #L2 * /2 width=4/
-qed-.