include "static_2/static/reqx_fqup.ma".
include "basic_2/rt_computation/rsx.ma".
-(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
+(* STRONGLY NORMALIZING REFERRED LOCAL ENVS FOR EXTENDED RT-TRANSITION ******)
(* Advanced properties ******************************************************)
(* Basic_2A1: uses: lsx_atom *)
-lemma lfsx_atom (h) (G) (T): G ā¢ ā¬*[h,T] šāŖāā«.
-#h #G #T
+lemma lfsx_atom (G) (T): G ā¢ ā¬*š[T] ā.
+#G #T
@rsx_intro #Y #H #HnT
lapply (lpx_inv_atom_sn ā¦ H) -H #H destruct
elim HnT -HnT //
(* Basic_2A1: uses: lsx_fwd_bind_dx *)
(* Note: the exclusion binder (ā§) makes this more elegant and much simpler *)
(* Note: the old proof without the exclusion binder requires lreq *)
-lemma rsx_fwd_bind_dx_void (h) (G):
- āp,I,L,V,T. G ā¢ ā¬*[h,ā[p,I]V.T] šāŖLā« ā G ā¢ ā¬*[h,T] šāŖL.ā§ā«.
-#h #G #p #I #L #V #T #H
+lemma rsx_fwd_bind_dx_void (G):
+ āp,I,L,V,T. G ā¢ ā¬*š[ā[p,I]V.T] L ā G ā¢ ā¬*š[T] L.ā§.
+#G #p #I #L #V #T #H
@(rsx_ind ā¦ H) -L #L1 #_ #IH
@rsx_intro #Y #H #HT
elim (lpx_inv_unit_sn ā¦ H) -H #L2 #HL12 #H destruct
(* Advanced inversion lemmas ************************************************)
(* Basic_2A1: uses: lsx_inv_bind *)
-lemma rsx_inv_bind_void (h) (G):
- āp,I,L,V,T. G ā¢ ā¬*[h,ā[p,I]V.T] šāŖLā« ā
- ā§ā§ G ā¢ ā¬*[h,V] šāŖLā« & G ā¢ ā¬*[h,T] šāŖL.ā§ā«.
+lemma rsx_inv_bind_void (G):
+ āp,I,L,V,T. G ā¢ ā¬*š[ā[p,I]V.T] L ā
+ ā§ā§ G ā¢ ā¬*š[V] L & G ā¢ ā¬*š[T] L.ā§.
/3 width=4 by rsx_fwd_pair_sn, rsx_fwd_bind_dx_void, conj/ qed-.