#h #g #G #L #U #i #l #H elim (lsstas_inv_step_sn … H) -H
#X #H #HXU elim (ssta_inv_lref1 … H) -H
* #K [ #V #W | #W #l0 ] #HLK [ #HVW | #HWl0 ] #HWX
-lapply (ldrop_fwd_ldrop2 … HLK) #H0LK
+lapply (ldrop_fwd_drop2 … HLK) #H0LK
elim (lsstas_inv_lift1 … HXU … H0LK … HWX) -H0LK -X /3 width=8/ /4 width=6/
qed-.
∀W,l. ⦃G, K⦄ ⊢ V •*[h, g, l+1] W →
∀U. ⇧[0, i+1] W ≡ U → ⦃G, L⦄ ⊢ #i •*[h, g, l+1] U.
#h #g #G #L #K #V #i #HLK #W #l #HVW #U #HWU
-lapply (ldrop_fwd_ldrop2 … HLK)
+lapply (ldrop_fwd_drop2 … HLK)
elim (lsstas_inv_step_sn … HVW) -HVW #W0
elim (lift_total W0 0 (i+1)) /3 width=11/
qed.
∀V,l. ⦃G, K⦄ ⊢ W •*[h, g, l] V →
∀U. ⇧[0, i+1] V ≡ U → ⦃G, L⦄ ⊢ #i •*[h, g, l+1] U.
#h #g #G #L #K #W #i #HLK #T #HWT #V #l #HWV #U #HVU
-lapply (ldrop_fwd_ldrop2 … HLK) #H
+lapply (ldrop_fwd_drop2 … HLK) #H
elim (lift_total W 0 (i+1)) /3 width=11/
qed.