(* *)
(**************************************************************************)
-include "basic_2/syntax/term_vector.ma".
+include "static_2/syntax/term_vector.ma".
include "basic_2/rt_computation/csx.ma".
-(* STRONGLY NORMALIZING TERMS VECTORS FOR UNCOUNTED PARALLEL RT-TRANSITION **)
+(* STRONGLY NORMALIZING TERMS VECTORS FOR UNBOUND PARALLEL RT-TRANSITION ****)
definition csxv: ∀h. sd h → relation3 genv lenv (list term) ≝
λh,o,G,L. all … (csx h o G L).
interpretation
- "strong normalization for uncounted context-sensitive parallel rt-transition (term vector)"
+ "strong normalization for unbound context-sensitive parallel rt-transition (term vector)"
'PRedTyStrong h o G L Ts = (csxv h o G L Ts).
(* Basic inversion lemmas ***************************************************)
-lemma csxv_inv_cons: ∀h,o,G,L,T,Ts. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T@Ts⦄ →
+lemma csxv_inv_cons: ∀h,o,G,L,T,Ts. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⨮Ts⦄ →
⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ ∧ ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃Ts⦄.
normalize // qed-.