-| #K #V #T #_ #IHV #L #d #e #HLK #X #H
- elim (lift_inv_flat1 … H) -H #W #U #HVW #_ #H destruct /3 width=4/
-| #K #V #T #_ #IHT #L #d #e #HLK #X #H
- elim (lift_inv_flat1 … H) -H #W #U #_ #HTU #H destruct /3 width=4/
-| #I #K #V #T #HI #L #d #e #_ #X #H
- elim (lift_fwd_pair1 … H) -H #W #U #_ #H destruct /2 width=1/
-| #a #I #K #V #T #HI #_ #IHV #L #d #e #HLK #X #H
- elim (lift_inv_bind1 … H) -H #W #U #HVW #_ #H destruct /3 width=4/
-| #a #I #K #V #T #HI #_ #IHT #L #d #e #HLK #X #H
- elim (lift_inv_bind1 … H) -H #W #U #HVW #HTU #H destruct /4 width=4/
-| #a #K #V #V0 #T #L #d #e #_ #X #H
+| #K #V #T #_ #IHV #L #s #d #e #HLK #X #H
+ elim (lift_inv_flat1 … H) -H #W #U #HVW #_ #H destruct /3 width=5 by crx_appl_sn/
+| #K #V #T #_ #IHT #L #s #d #e #HLK #X #H
+ elim (lift_inv_flat1 … H) -H #W #U #_ #HTU #H destruct /3 width=5 by crx_appl_dx/
+| #I #K #V #T #HI #L #s #d #e #_ #X #H
+ elim (lift_fwd_pair1 … H) -H #W #U #_ #H destruct /2 width=1 by crx_ri2/
+| #a #I #K #V #T #HI #_ #IHV #L #s #d #e #HLK #X #H
+ elim (lift_inv_bind1 … H) -H #W #U #HVW #_ #H destruct /3 width=5 by crx_ib2_sn/
+| #a #I #K #V #T #HI #_ #IHT #L #s #d #e #HLK #X #H
+ elim (lift_inv_bind1 … H) -H #W #U #HVW #HTU #H destruct /4 width=5 by crx_ib2_dx, ldrop_skip/
+| #a #K #V #V0 #T #L #s #d #e #_ #X #H