(* *)
(**************************************************************************)
-include "basic_2/rt_computation/cpxs_tdeq.ma".
+include "basic_2/rt_computation/cpxs_teqx.ma".
include "basic_2/rt_computation/fpbs_cpxs.ma".
include "basic_2/rt_computation/fpbg_fpbs.ma".
(* Properties with unbound 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 â\89\9b T2 â\86\92 â\8a¥) â\86\92 â¦\83G, L, T1â¦\84 >[h] â¦\83G, L, T2â¦\84.
+lemma cpxs_tneqx_fpbg (h): ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 →
+ (T1 â\89\9b T2 â\86\92 â\8a¥) â\86\92 â\9dªG,L,T1â\9d« >[h] â\9dªG,L,T2â\9d«.
#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/
+elim (cpxs_tneqx_fwd_step_sn … H … H0) -H -H0
+/4 width=5 by cpxs_teqx_fpbs, fpb_cpx, ex2_3_intro/
qed.
-lemma cpxs_fpbg_trans (h): â\88\80G1,L1,T1,T. â¦\83G1, L1â¦\84 ⊢ T1 ⬈*[h] T →
- â\88\80G2,L2,T2. â¦\83G1, L1, Tâ¦\84 >[h] â¦\83G2, L2, T2â¦\84 â\86\92 â¦\83G1, L1, T1â¦\84 >[h] â¦\83G2, L2, T2â¦\84.
+lemma cpxs_fpbg_trans (h): â\88\80G1,L1,T1,T. â\9dªG1,L1â\9d« ⊢ T1 ⬈*[h] T →
+ â\88\80G2,L2,T2. â\9dªG1,L1,Tâ\9d« >[h] â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« >[h] â\9dªG2,L2,T2â\9d«.
/3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.