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⦄ →
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⦄ →