(**************************************************************************)
include "basic_2/syntax/tdeq_tdeq.ma".
-include "basic_2/rt_computation/cpxs.ma".
-include "basic_2/rt_transition/cpx_lfdeq.ma".
include "basic_2/rt_transition/lfpx_fqup.ma".
+include "basic_2/rt_transition/lfpx_lfdeq.ma".
+include "basic_2/rt_computation/cpxs.ma".
(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS ************)
+(* Properties with degree-based equivalence for terms ***********************)
+
lemma tdeq_cpxs_trans: ∀h,o,U1,T1. U1 ≡[h, o] T1 → ∀G,L,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
∃∃U2. ⦃G, L⦄ ⊢ U1 ⬈*[h] U2 & U2 ≡[h, o] T2.
#h #o #U1 #T1 #HUT1 #G #L #T2 #HT12 @(cpxs_ind … HT12) -T2 /2 width=3 by ex2_intro/
]
]
qed-.
-
-(* Basic_2A1: removed theorems 1: cpxs_neq_inv_step_sn *)