(**************************************************************************)
include "basic_2/notation/relations/btpredstaralt_8.ma".
-include "basic_2/substitution/lleq_fqus.ma".
-include "basic_2/substitution/lleq_lleq.ma".
+include "basic_2/multiple/lleq_fqus.ma".
include "basic_2/computation/cpxs_lleq.ma".
include "basic_2/computation/lpxs_lleq.ma".
include "basic_2/computation/fpbs.ma".
-(* "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *****************************)
+(* "QREST" PARALLEL COMPUTATION FOR CLOSURES ********************************)
(* Note: alternative definition of fpbs *)
definition fpbsa: ∀h. sd h → tri_relation genv lenv term ≝
theorem fpbsa_inv_fpbs: ∀h,g,G1,G2,L1,L2,T1,T2.
⦃G1, L1, T1⦄ ≥≥[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
#h #g #G1 #G2 #L1 #L2 #T1 #T2 *
-/3 width=5 by cpxs_fqus_lpxs_fpbs, fpbs_strap1, fpb_lleq/
+/3 width=5 by cpxs_fqus_lpxs_fpbs, fpbs_strap1, fpbq_lleq/
qed-.
(* Advanced properties ******************************************************)