(* *)
(**************************************************************************)
-include "static_2/syntax/tweq_tdeq.ma".
+include "static_2/syntax/teqw_teqg.ma".
include "basic_2/rt_computation/csx_cpxs.ma".
include "basic_2/rt_computation/cpms_cpxs.ma".
include "basic_2/rt_computation/cnuw_cnuw.ma".
(* T-UNBOUND WHD EVALUATION FOR T-BOUND RT-TRANSITION ON TERMS **************)
-(* Properties with strong normalization for unbound rt-transition for terms *)
+(* Properties with strongly normalizing terms for extended rt-transition ****)
lemma cpmuwe_total_csx (h) (G) (L):
- â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 â\86\92 â\88\83â\88\83T2,n. â¦\83G,Lâ¦\84 ⊢ T1 ➡*𝐍𝐖*[h,n] T2.
+ â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 T1 â\86\92 â\88\83â\88\83T2,n. â\9dªG,Lâ\9d« ⊢ T1 ➡*𝐍𝐖*[h,n] T2.
#h #G #L #T1 #H
@(csx_ind_cpxs … H) -T1 #T1 #_ #IHT1
elim (cnuw_dec_ex h G L T1)
| * #n1 #T0 #HT10 #HnT10
elim (IHT1 … T0) -IHT1
[ #T2 #n2 * #HT02 #HT2 /4 width=5 by cpms_trans, cpmuwe_intro, ex1_2_intro/
- | /3 width=1 by tdeq_tweq/
- | /2 width=2 by cpms_fwd_cpxs/
+ | /3 width=2 by teqg_teqw/
+ | /2 width=3 by cpms_fwd_cpxs/
]
]
qed-.
lemma R_cpmuwe_total_csx (h) (G) (L):
- â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 → ∃n. R_cpmuwe h G L T1 n.
+ â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 T1 → ∃n. R_cpmuwe h G L T1 n.
#h #G #L #T1 #H
-elim (cpmuwe_total_csx … H) -H #T2 #n #HT12
+elim (cpmuwe_total_csx h … H) -H #T2 #n #HT12
/3 width=3 by ex_intro (* 2x *)/
qed-.