(* *)
(**************************************************************************)
-include "basic_2/rt_computation/cpxs_tdeq.ma".
+include "basic_2/rt_transition/fpbc_fqup.ma".
+include "basic_2/rt_computation/cpxs_teqg.ma".
include "basic_2/rt_computation/fpbs_cpxs.ma".
+include "basic_2/rt_computation/fpbg_fqup.ma".
include "basic_2/rt_computation/fpbg_fpbs.ma".
(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
-(* Properties with unbound context-sensitive parallel rt-computation ********)
+(* Properties with extended context-sensitive parallel rt-computation *******)
(* Basic_2A1: was: cpxs_fpbg *)
-lemma cpxs_tdneq_fpbg (h): ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
- (T1 ≛ T2 → ⊥) → ⦃G, L, T1⦄ >[h] ⦃G, L, T2⦄.
-#h #G #L #T1 #T2 #H #H0
-elim (cpxs_tdneq_fwd_step_sn … H … H0) -H -H0
-/4 width=5 by cpxs_tdeq_fpbs, fpb_cpx, ex2_3_intro/
+lemma cpxs_tneqx_fpbg:
+ ∀G,L,T1,T2. ❨G,L❩ ⊢ T1 ⬈* T2 →
+ (T1 ≅ T2 → ⊥) → ❨G,L,T1❩ > ❨G,L,T2❩.
+#G #L #T1 #T2 #H #H0
+elim (cpxs_tneqg_fwd_step_sn … H … H0) -H -H0
+/4 width=5 by fpbc_fpbs_fpbg, cpxs_fpbs, cpx_fpbc, sfull_dec/
qed.
-lemma cpxs_fpbg_trans (h): ∀G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T →
- ∀G2,L2,T2. ⦃G1, L1, T⦄ >[h] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
+lemma cpxs_fpbg_trans:
+ ∀G1,L1,T1,T. ❨G1,L1❩ ⊢ T1 ⬈* T →
+ ∀G2,L2,T2. ❨G1,L1,T❩ > ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
/3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.