(* *)
(**************************************************************************)
-include "basic_2/rt_transition/cpm_cpx.ma".
-include "basic_2/rt_computation/csx.ma".
-include "basic_2/rt_computation/cnuw_tdeq.ma".
+include "static_2/syntax/tweq_tdeq.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".
include "basic_2/rt_computation/cpmuwe.ma".
(* T-UNBOUND WHD EVALUATION FOR T-BOUND RT-TRANSITION ON TERMS **************)
lemma cpmuwe_total_csx (h) (G) (L):
∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ∃∃T2,n. ⦃G,L⦄ ⊢ T1 ➡*𝐍𝐖*[h,n] T2.
#h #G #L #T1 #H
-@(csx_ind … H) -T1 #T1 #_ #IHT1
-elim (cnuw_dec_tdeq h G L T1)
+@(csx_ind_cpxs … H) -T1 #T1 #_ #IHT1
+elim (cnuw_dec_ex h G L T1)
[ -IHT1 #HT1 /3 width=4 by cpmuwe_intro, ex1_2_intro/
| * #n1 #T0 #HT10 #HnT10
- elim (IHT1 … HnT10) -IHT1 -HnT10 [| /2 width=2 by cpm_fwd_cpx/ ]
- #T2 #n2 * #HT02 #HT2 /4 width=5 by cpms_step_sn, cpmuwe_intro, ex1_2_intro/
+ 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/
+ ]
]
qed-.