(* *)
(**************************************************************************)
-include "basic_2/rt_computation/csx_fpbq.ma".
-include "basic_2/rt_computation/fpbs.ma".
+include "basic_2/rt_computation/csx_fpb.ma".
+include "basic_2/rt_computation/fpbs_fqup.ma".
(* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
-(* Properties with sn for unbound parallel rt-transition for terms **********)
+(* Properties with sn for extended parallel rt-transition for terms *********)
(* Basic_2A1: was: csx_fpbs_conf *)
-lemma fpbs_csx_conf: ∀h,G1,L1,T1. ⦃G1,L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
- ∀G2,L2,T2. ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄ → ⦃G2,L2⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
-#h #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
-/2 width=5 by csx_fpbq_conf/
+lemma fpbs_csx_conf:
+ ∀G1,L1,T1. ❨G1,L1❩ ⊢ ⬈*𝐒 T1 →
+ ∀G2,L2,T2. ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩ → ❨G2,L2❩ ⊢ ⬈*𝐒 T2.
+#G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
+/2 width=5 by csx_fpb_conf/
qed-.