[ #G #L #k #L0 #cs #HL0 #X #H #L2 #HL20
>(lifts_inv_sort1 … H) -H
lapply (acr_gcr … H1RP H2RP (⓪)) #HAtom
- lapply (s4 â\80¦ HAtom G L2 (â\97\8a)) /2 width=1 by/
+ lapply (s4 â\80¦ HAtom G L2 (â\93\94)) /2 width=1 by/
| #I #G #L1 #K1 #V1 #B #i #HLK1 #HKV1B #IHB #L0 #cs #HL01 #X #H #L2 #HL20
lapply (acr_gcr … H1RP H2RP B) #HB
elim (lifts_inv_lref1 … H) -H #i1 #Hi1 #H destruct
[ #K2 #HK20 #H destruct
elim (lift_total V0 0 (i0 +1)) #V #HV0
elim (lifts_lift_trans … Hi0 … Hcs0 … HV10 … HV0) -HV10 #V2 #HV12 #HV2
- lapply (s5 â\80¦ HB ? G ? ? (â\97\8a) … HV0 HLK2) /3 width=7 by drops_cons, lifts_cons/ (* Note: uses IHB HL20 V2 HV0 *)
+ lapply (s5 â\80¦ HB ? G ? ? (â\93\94) … HV0 HLK2) /3 width=7 by drops_cons, lifts_cons/ (* Note: uses IHB HL20 V2 HV0 *)
| -HLK1 -IHB -HL01 -HL20 -HK1b -Hi0 -Hcs0
#K2 #V2 #A2 #HKV2A #H1KV0A #H2KV0A #_ #H1 #H2 destruct
lapply (drop_fwd_drop2 … HLK2) #HLK2b
lapply (aaa_mono … H2KV0A … HKV0B) #H destruct -H2KV0A -HKV0B
elim (lift_total V0 0 (i0 +1)) #V3 #HV03
elim (lift_total V2 0 (i0 +1)) #V #HV2
- lapply (s5 â\80¦ HB ? G ? ? (â\97\8a) … (ⓝV3.V) … HLK2) /2 width=1 by lift_flat/
- lapply (s7 â\80¦ HB G L2 (â\97\8a)) /3 width=7 by gcr_lift/
+ lapply (s5 â\80¦ HB ? G ? ? (â\93\94) … (ⓝV3.V) … HLK2) /2 width=1 by lift_flat/
+ lapply (s7 â\80¦ HB G L2 (â\93\94)) /3 width=7 by gcr_lift/
]
| #a #G #L #V #T #B #A #_ #_ #IHB #IHA #L0 #cs #HL0 #X #H #L2 #HL20
elim (lifts_inv_bind1 … H) -H #V0 #T0 #HV0 #HT0 #H destruct
lapply (acr_gcr … H1RP H2RP A) #HA
lapply (acr_gcr … H1RP H2RP B) #HB
lapply (s1 … HB) -HB #HB
- lapply (s6 â\80¦ HA G L2 (â\97\8a) (â\97\8a)) /4 width=5 by lsubc_pair, drops_skip, liftv_nil/
+ lapply (s6 â\80¦ HA G L2 (â\93\94) (â\93\94)) /4 width=5 by lsubc_pair, drops_skip, liftv_nil/
| #a #G #L #W #T #B #A #HLWB #_ #IHB #IHA #L0 #cs #HL0 #X #H #L2 #HL02
elim (lifts_inv_bind1 … H) -H #W0 #T0 #HW0 #HT0 #H destruct
@(acr_abst … H1RP H2RP) /2 width=5 by/
#L3 #V3 #W3 #T3 #cs3 #HL32 #HW03 #HT03 #H1B #H2B
elim (drops_lsubc_trans … H1RP … HL32 … HL02) -L2 #L2 #HL32 #HL20
- lapply (aaa_lifts … L2 W3 … (cs @@ cs3) … HLWB) -HLWB /2 width=4 by drops_trans, lifts_trans/ #HLW2B
- @(IHA (L2. ⓛW3) … (cs + 1 @@ cs3 + 1)) -IHA
+ lapply (aaa_lifts … L2 W3 … (cs ● cs3) … HLWB) -HLWB /2 width=4 by drops_trans, lifts_trans/ #HLW2B
+ @(IHA (L2. ⓛW3) … (cs + 1 ● cs3 + 1)) -IHA
/3 width=5 by lsubc_beta, drops_trans, drops_skip, lifts_trans/
| #G #L #V #T #B #A #_ #_ #IHB #IHA #L0 #cs #HL0 #X #H #L2 #HL20
elim (lifts_inv_flat1 … H) -H #V0 #T0 #HV0 #HT0 #H destruct
| #G #L #V #T #A #_ #_ #IH1A #IH2A #L0 #cs #HL0 #X #H #L2 #HL20
elim (lifts_inv_flat1 … H) -H #V0 #T0 #HV0 #HT0 #H destruct
lapply (acr_gcr … H1RP H2RP A) #HA
- lapply (s7 â\80¦ HA G L2 (â\97\8a)) /3 width=5 by/
+ lapply (s7 â\80¦ HA G L2 (â\93\94)) /3 width=5 by/
]
qed.