(* Properties with sort-irrelevant equivalence for local environments *******)
(* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_reqx_conf: â\88\80h,G,L1,T. â¦\83G,L1â¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83Tâ¦\84 →
- â\88\80L2. L1 â\89\9b[T] L2 â\86\92 â¦\83G,L2â¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83Tâ¦\84.
+lemma csx_reqx_conf: â\88\80h,G,L1,T. â\9dªG,L1â\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d« →
+ â\88\80L2. L1 â\89\9b[T] L2 â\86\92 â\9dªG,L2â\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d«.
#h #G #L1 #T #H
@(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
@csx_intro #T2 #HT12 #HnT12
(* Basic_2A1: uses: csx_lleq_conf *)
lemma csx_reqx_trans: ∀h,L1,L2,T. L1 ≛[T] L2 →
- â\88\80G. â¦\83G,L2â¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83Tâ¦\84 â\86\92 â¦\83G,L1â¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83Tâ¦\84.
+ â\88\80G. â\9dªG,L2â\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d« â\86\92 â\9dªG,L1â\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d«.
/3 width=3 by csx_reqx_conf, reqx_sym/ qed-.