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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_computation/lsubsx.ma".
-
-(* CLEAR OF STRONGLY NORMALIZING ENTRIES FOR UNBOUND RT-TRANSITION **********)
-
-(* Main properties **********************************************************)
-
-theorem lsubsx_fix: ∀h,f,G,L1,L. G ⊢ L1 ⊆ⓧ[h,f] L →
-                    ∀L2. G ⊢ L ⊆ⓧ[h,f] L2 → L = L2.
-#h #f #G #L1 #L #H elim H -f -L1 -L
-[ #f #L2 #H
-  >(lsubsx_inv_atom_sn … H) -L2 //
-| #f #I #K1 #K2 #_ #IH #L2 #H
-  elim (lsubsx_inv_push_sn … H) -H /3 width=1 by eq_f2/
-| #f #I #K1 #K2 #_ #IH #L2 #H
-  elim (lsubsx_inv_unit_sn … H) -H /3 width=1 by eq_f2/
-| #f #I #K1 #K2 #V #_ #_ #IH #L2 #H
-  elim (lsubsx_inv_unit_sn … H) -H /3 width=1 by eq_f2/
-]
-qed-.
-
-theorem lsubsx_trans: ∀h,f,G. Transitive … (lsubsx h G f).
-#h #f #G #L1 #L #H1 #L2 #H2
-<(lsubsx_fix … H1 … H2) -L2 //
-qed-.