[ lapply (lstas_inv_O … H2) -H2 #H destruct -IH1 -H1 -l1 /4 width=5 by lpr_cpcs_conf, cpr_cpcs_dx, ex2_intro/ ]
elim (snv_inv_lref … H1) -H1 #I0 #K0 #X0 #HK0 #HX0
elim (da_inv_lref … Hl1) -Hl1 * #K1 [ #V1 | #W1 #l0 ] #HLK1 [ #HVl1 | #HWl1 #H destruct ]
- lapply (ldrop_mono … HK0 … HLK1) -HK0 #H destruct
+ lapply (drop_mono … HK0 … HLK1) -HK0 #H destruct
elim (lstas_inv_lref1 … H2) -H2 * #K0 #V0 #W0 [2,4: #X0 ] #HK0 [1,2: #_ -X0 ] #HVW0 #HX2
- lapply (ldrop_mono … HK0 … HLK1) -HK0 #H destruct
+ lapply (drop_mono … HK0 … HLK1) -HK0 #H destruct
[ lapply (le_plus_to_le_r … Hl21) -Hl21 #Hl21 ]
lapply (fqup_lref … G1 … HLK1) #HKV1
- elim (lpr_ldrop_conf … HLK1 … HL12) -HL12 #X #H #HLK2
+ elim (lpr_drop_conf … HLK1 … HL12) -HL12 #X #H #HLK2
elim (lpr_inv_pair1 … H) -H #K2 [ #W2 | #V2 ] #HK12 [ #HW12 | #HV12 ] #H destruct
- lapply (ldrop_fwd_drop2 … HLK2) #H2
+ lapply (drop_fwd_drop2 … HLK2) #H2
elim (cpr_inv_lref1 … H3) -H3
[1,3: #H destruct -HLK1
|2,4: * #K0 #V0 #X0 #H #HVX0 #HX0
- lapply (ldrop_mono … H … HLK1) -H -HLK1 #H destruct
+ lapply (drop_mono … H … HLK1) -H -HLK1 #H destruct
]
[ lapply (IH2 … HWl1 … HW12 … HK12) /2 width=1 by fqup_fpbg/ -IH2 #H
elim (da_inv_sta … H) -H
| #T3 #HT13 #HXT3 #H1 #H2 destruct
elim (IH1 … Hl1 … HTU1 … HT13 (L2.ⓓV1)) -IH1 -Hl1 -HTU1 -HT13 /2 width=1 by fqup_fpbg, lpr_pair/ -T1 -HL12 #U3 #HTU3 #HU13
elim (lstas_inv_lift1 … HTU3 L2 … HXT3) -T3
- /5 width=8 by cpcs_cpr_strap1, cpcs_bind1, cpr_zeta, ldrop_drop, ex2_intro/
+ /5 width=8 by cpcs_cpr_strap1, cpcs_bind1, cpr_zeta, drop_drop, ex2_intro/
]
| #V1 #T1 #HG0 #HL0 #HT0 #H1 #l1 #l2 #Hl21 #Hl1 #X2 #H2 #X3 #H3 #L2 #HL12 destruct
elim (snv_inv_appl … H1) -H1 #a #W1 #W10 #U10 #l0 #HV1 #HT1 #Hl0 #HVW1 #HW10 #HTU10