+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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,o,f,G,L1,L. G ⊢ L1 ⊆ⓧ[h, o, f] L →
- ∀L2. G ⊢ L ⊆ⓧ[h, o, f] L2 → L = L2.
-#h #o #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,o,f,G. Transitive … (lsubsx h o G f).
-#h #o #f #G #L1 #L #H1 #L2 #H2
-<(lsubsx_fix … H1 … H2) -L2 //
-qed-.