(* *)
(**************************************************************************)
-include "basic_2/rt_transition/fpbq_aaa.ma".
-include "basic_2/rt_computation/fpbs.ma".
+include "basic_2/rt_transition/fpb_aaa.ma".
+include "basic_2/rt_computation/fpbs_fqup.ma".
(* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
lemma fpbs_aaa_conf:
∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫ →
∀A1. ❪G1,L1❫ ⊢ T1 ⁝ A1 → ∃A2. ❪G2,L2❫ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2 /2 width=2 by ex_intro/
-#G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A
-/2 width=8 by fpbq_aaa_conf/
+#G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
+[ /2 width=2 by ex_intro/
+| #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A
+ /2 width=8 by fpb_aaa_conf/
+]
qed-.