(* *)
(**************************************************************************)
-(* STRONGLY NORMALIZING TERM VECTORS FOR UNCOUNTED PARALLEL RT-TRANSITION ***)
+(* STRONGLY NORMALIZING TERM VECTORS FOR UNBOUND PARALLEL RT-TRANSITION *****)
include "basic_2/rt_computation/cpxs_theq_vector.ma".
include "basic_2/rt_computation/csx_simple_theq.ma".
include "basic_2/rt_computation/csx_cpxs.ma".
include "basic_2/rt_computation/csx_vector.ma".
-(* Properties with normal terms for uncounted parallel rt-transition ********)
+(* Properties with normal terms for unbound parallel rt-transition **********)
(* Basic_1: was just: sn3_appls_lref *)
lemma csx_applv_cnx: ∀h,o,G,L,T. 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T⦄ →
#X #H #H0
elim (cpxs_fwd_sort_vector … o … H) -H #H
[ elim H0 -H0 //
- | -H0 @(csx_cpxs_trans … (Ⓐ(V@Vs).⋆(next h s)))
+ | -H0 @(csx_cpxs_trans … (Ⓐ(V⨮Vs).⋆(next h s)))
/3 width=1 by cpxs_flat_dx, deg_next_SO/
]
]