elim (lifts_total W1 (𝐔❴⫯j❵)) #W2 #HW12
lapply (lifts_trans … HVW1 … HW12 ??) -HVW1 [3: |*: // ] #H
lapply (lifts_conf … HV12 … H f ?) -V1 [ /2 width=3 by after_uni_succ_sn/ ] #HVW2
@(s5 … IHA … (V0@V0s) … HW12) /3 width=4 by drops_inv_gen, lifts_applv/
| #G #L #V1s #V2s #HV12s #p #V #T #HA #HV #f #L0 #V10 #X #HL0 #H #HB
elim (lifts_total W1 (𝐔❴⫯j❵)) #W2 #HW12
lapply (lifts_trans … HVW1 … HW12 ??) -HVW1 [3: |*: // ] #H
lapply (lifts_conf … HV12 … H f ?) -V1 [ /2 width=3 by after_uni_succ_sn/ ] #HVW2
@(s5 … IHA … (V0@V0s) … HW12) /3 width=4 by drops_inv_gen, lifts_applv/
| #G #L #V1s #V2s #HV12s #p #V #T #HA #HV #f #L0 #V10 #X #HL0 #H #HB