lemma lsx_lref_free: ∀h,g,G,L,d,i. |L| ≤ i → G ⊢ ⋕⬊*[h, g, #i, d] L.
#h #g #G #L1 #d #i #HL1 @lsx_intro
#L2 #HL12 #H elim H -H
lemma lsx_lref_free: ∀h,g,G,L,d,i. |L| ≤ i → G ⊢ ⋕⬊*[h, g, #i, d] L.
#h #g #G #L1 #d #i #HL1 @lsx_intro
#L2 #HL12 #H elim H -H
qed.
lemma lsx_lref_skip: ∀h,g,G,L,d,i. yinj i < d → G ⊢ ⋕⬊*[h, g, #i, d] L.
qed.
lemma lsx_lref_skip: ∀h,g,G,L,d,i. yinj i < d → G ⊢ ⋕⬊*[h, g, #i, d] L.