include "basic_2/rt_computation/csx_feqx.ma".
include "basic_2/rt_computation/csx_lpx.ma".
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
(* Properties with parallel rst-transition for closures *********************)
(* Basic_2A1: was: csx_fpb_conf *)
-lemma csx_fpbq_conf (h):
- ∀G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*𝐒[h] T1 →
- ∀G2,L2,T2. ❪G1,L1,T1❫ ≽[h] ❪G2,L2,T2❫ → ❪G2,L2❫ ⊢ ⬈*𝐒[h] T2.
-#h #G1 #L1 #T1 #HT1 #G2 #L2 #T2 *
+lemma csx_fpbq_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 *
/2 width=6 by csx_cpx_trans, csx_fquq_conf, csx_lpx_conf, csx_feqx_conf/
qed-.