(* *)
(**************************************************************************)
-include "basic_2/computation/fpbs.ma".
+include "basic_2/computation/fpbs_lift.ma".
(* "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *****************************)
⦃G, L2⦄ ⊢ T2 ▪[h, g] l2+1 → ⦃G, L2⦄ ⊢ T2 •[h, g] U2 →
⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, U2⦄.
/3 width=5 by fpbs_trans, cpr_lpr_fpbs, ssta_fpbs/ qed.
+
+lemma cpxs_fqup_fpbs: ∀h,g,G1,G2,L1,L2,T1,T,T2. ⦃G1, L1⦄ ⊢ T1 ➡*[h, g] T →
+ ⦃G1, L1, T⦄ ⊃+ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
+/3 width=5 by fpbs_trans, cpxs_fpbs, fqup_fpbs/ qed.