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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lfxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lfxs.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/rt_transition/cpx_lfxs.ma".
-include "basic_2/rt_transition/cpm_cpx.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS ***************************)
-
-(* Properties with context-sensitive free variables *************************)
-
-lemma cpm_fsle_comp: ∀n,h,G. R_fsle_compatible (cpm n h G).
-/3 width=6 by cpm_fwd_cpx, cpx_fsle_comp/ qed-.
-
-lemma lfpr_fsle_comp: ∀h,G. lfxs_fsle_compatible (cpm 0 h G).
-/4 width=5 by cpm_fwd_cpx, lfpx_fsle_comp, lfxs_co/ qed-.
-
-(* Properties with generic extension on referred entries ********************)
-
-(* Basic_2A1: was just: cpr_llpx_sn_conf *)
-lemma cpm_lfxs_conf: ∀R,n,h,G. s_r_confluent1 … (cpm n h G) (lfxs R).
-/3 width=5 by cpm_fwd_cpx, cpx_lfxs_conf/ qed-.