(* *)
(**************************************************************************)
-(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
+(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
include "basic_2/rt_transition/cnx.ma".
include "basic_2/rt_computation/csx.ma".
-(* Properties with normal terms for uncounted parallel rt-transition ********)
+(* Properties with normal terms for unbound parallel rt-transition **********)
(* Basic_1: was just: sn3_nf2 *)
-lemma cnx_csx: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
+lemma cnx_csx (h) (G) (L):
+ ∀T. ❪G,L❫ ⊢ ⬈𝐍[h] T → ❪G,L❫ ⊢ ⬈*𝐒[h] T.
/2 width=1 by NF_to_SN/ qed.
+
+(* Advanced properties ******************************************************)
+
+lemma csx_sort (h) (G) (L):
+ ∀s. ❪G,L❫ ⊢ ⬈*𝐒[h] ⋆s.
+/3 width=4 by cnx_csx, cnx_sort/ qed.