∃∃K1. K1 ⊑ K2 & ⇩[0, i] L1 ≡ K1. ⓓW.
#L1 #L2 #H elim H -L1 -L2
[ #L #K2 #W #i #H
- lapply (ldrop_inv_atom1 … H) -H #H destruct
+ elim (ldrop_inv_atom1 … H) -H #H destruct
| #L1 #L2 #V #HL12 #IHL12 #K2 #W #i #H
- elim (ldrop_inv_O1 … H) -H * #Hi #HLK2 destruct [ -IHL12 | -HL12 ]
+ elim (ldrop_inv_O1_pair1 … H) -H * #Hi #HLK2 destruct [ -IHL12 | -HL12 ]
[ /2 width=3/
| elim (IHL12 … HLK2) -IHL12 -HLK2 /3 width=3/
]
| #I #L1 #L2 #V1 #V2 #_ #IHL12 #K2 #W #i #H
- elim (ldrop_inv_O1 … H) -H * #Hi #HLK2 destruct
+ elim (ldrop_inv_O1_pair1 … H) -H * #Hi #HLK2 destruct
elim (IHL12 … HLK2) -IHL12 -HLK2 /3 width=3/
]
qed-.