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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_drops.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/i_static/tc_lfxs_drops.ma".
+include "basic_2/rt_transition/lfpx_drops.ma".
+
+(* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ****)
+
+(* Properties with generic slicing for local environments *******************)
+
+(* Basic_2A1: uses: drop_lpxs_trans *)
+lemma drops_lfpxs_trans: ∀h,G. tc_dedropable_sn (cpx h G).
+/3 width=5 by drops_lfpx_trans, dedropable_sn_LTC/ qed-.
+
+(* Inversion lemmas with generic slicing for local environments *************)
+
+(* Basic_2A1: uses: lpxs_drop_conf *)
+lemma lfpxs_drops_conf: ∀h,G. tc_dropable_sn (cpx h G).
+/3 width=5 by lfpx_drops_conf, dropable_sn_LTC/ qed-.
+
+(* Basic_2A1: uses: lpxs_drop_trans_O1 *)
+lemma lfpxs_drops_trans: ∀h,G. tc_dropable_dx (cpx h G).
+/3 width=5 by lfpx_drops_trans, dropable_dx_LTC/ qed-.