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Proofgold Proof
pf
Apply df_mfsh__df_mevl__df_mvl__df_mvsb__df_mfrel__df_mdl__df_musyn__df_gmdl__df_mitp__df_mfitp__df_irng__df_cplmet__df_homlimb__df_homlim__df_plfl__df_sfl1__df_sfl__df_psl with
wceq
chlim
(
cmpt2
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
csb
(
cfv
(
cv
x1
)
chlb
)
(
λ x2 .
csb
(
cfv
(
cv
x2
)
c1st
)
(
λ x3 .
csb
(
cfv
(
cv
x2
)
c2nd
)
(
λ x4 .
cun
(
ctp
(
cop
(
cfv
cnx
cbs
)
(
cv
x3
)
)
(
cop
(
cfv
cnx
cplusg
)
(
ciun
(
λ x5 .
cn
)
(
λ x5 .
crn
(
cmpt2
(
λ x6 x7 .
cdm
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
(
λ x6 x7 .
cdm
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
(
λ x6 x7 .
cop
(
cop
(
cfv
(
cv
x6
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
(
cfv
(
cv
x7
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
)
(
cfv
(
co
(
cv
x6
)
(
cv
x7
)
(
cfv
(
cfv
(
cv
x5
)
(
cv
x0
)
)
cplusg
)
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
)
)
)
)
)
(
cop
(
cfv
cnx
cmulr
)
(
ciun
(
λ x5 .
cn
)
(
λ x5 .
crn
(
cmpt2
(
λ x6 x7 .
cdm
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
(
λ x6 x7 .
cdm
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
(
λ x6 x7 .
cop
(
cop
(
cfv
(
cv
x6
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
(
cfv
(
cv
x7
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
)
(
cfv
(
co
(
cv
x6
)
(
cv
x7
)
(
cfv
(
cfv
(
cv
x5
)
(
cv
x0
)
)
cmulr
)
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
)
)
)
)
)
)
(
ctp
(
cop
(
cfv
cnx
ctopn
)
(
crab
(
λ x5 .
wral
(
λ x6 .
wcel
(
cima
(
ccnv
(
cfv
(
cv
x6
)
(
cv
x4
)
)
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x6
)
(
cv
x0
)
)
ctopn
)
)
(
λ x6 .
cn
)
)
(
λ x5 .
cpw
(
cv
x3
)
)
)
)
(
cop
(
cfv
cnx
cds
)
(
ciun
(
λ x5 .
cn
)
(
λ x5 .
crn
(
cmpt2
(
λ x6 x7 .
cdm
(
cfv
(
cv
x5
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
)
(
λ x6 x7 .
cdm
(
cfv
(
cv
x5
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
)
(
λ x6 x7 .
cop
(
cop
(
cfv
(
cv
x6
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
(
cfv
(
cv
x7
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
)
)
(
co
(
cv
x6
)
(
cv
x7
)
(
cfv
(
cfv
(
cv
x5
)
(
cv
x0
)
)
cds
)
)
)
)
)
)
)
(
cop
(
cfv
cnx
...
)
...
)
)
)
)
)
)
)
.
...
■