(* LAZY SN POINTWISE EXTENSION OF A CONTEXT-SENSITIVE REALTION FOR TERMS ****)
(* alternative definition of llpx_sn (not recursive) *)
-definition llpx_sn_alt: relation4 bind2 lenv term term → relation4 ynat term lenv lenv ≝
+definition llpx_sn_alt: relation3 lenv term term → relation4 ynat term lenv lenv ≝
λR,d,T,L1,L2. |L1| = |L2| ∧
(∀I1,I2,K1,K2,V1,V2,i. d ≤ yinj i → (L1 ⊢ i ~ϵ 𝐅*[d]⦃T⦄ → ⊥) →
⇩[i] L1 ≡ K1.ⓑ{I1}V1 → ⇩[i] L2 ≡ K2.ⓑ{I2}V2 →
- I1 = I2 ∧ R I1 K1 V1 V2
+ I1 = I2 ∧ R K1 V1 V2
).
(* Main properties **********************************************************)