Search for blocks/addresses/...
Proofgold Proof
pf
Apply df_kgen__df_tx__df_xko__df_kq__df_hmeo__df_hmph__df_fil__df_ufil__df_ufl__df_fm__df_flim__df_flf__df_fcls__df_fcf__df_cnext__df_tmd__df_tgp__df_tsms with
wceq
ctsu
(
cmpt2
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
csb
(
cin
(
cpw
(
cdm
(
cv
x1
)
)
)
cfn
)
(
λ x2 .
cfv
(
cmpt
(
λ x3 .
cv
x2
)
(
λ x3 .
co
(
cv
x0
)
(
cres
(
cv
x1
)
(
cv
x3
)
)
cgsu
)
)
(
co
(
cfv
(
cv
x0
)
ctopn
)
(
co
(
cv
x2
)
(
crn
(
cmpt
(
λ x3 .
cv
x2
)
(
λ x3 .
crab
(
λ x4 .
wss
(
cv
x3
)
(
cv
x4
)
)
(
λ x4 .
cv
x2
)
)
)
)
cfg
)
cflf
)
)
)
)
.
Assume H0:
wceq
ckgen
(
cmpt
(
λ x0 .
ctop
)
(
λ x0 .
crab
(
λ x1 .
wral
(
λ x2 .
wcel
(
co
(
cv
x0
)
(
cv
x2
)
crest
)
ccmp
⟶
wcel
(
cin
(
cv
x1
)
(
cv
x2
)
)
(
co
(
cv
x0
)
(
cv
x2
)
crest
)
)
(
λ x2 .
cpw
(
cuni
(
cv
x0
)
)
)
)
(
λ x1 .
cpw
(
cuni
(
cv
x0
)
)
)
)
)
.
Assume H1:
wceq
ctx
(
cmpt2
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
cfv
(
crn
(
cmpt2
(
λ x2 x3 .
cv
x0
)
(
λ x2 x3 .
cv
x1
)
(
λ x2 x3 .
cxp
(
cv
x2
)
(
cv
x3
)
)
)
)
ctg
)
)
.
Assume H2:
wceq
cxko
(
cmpt2
(
λ x0 x1 .
ctop
)
(
λ x0 x1 .
ctop
)
(
λ x0 x1 .
cfv
(
cfv
(
crn
(
cmpt2
(
λ x2 x3 .
crab
(
λ x4 .
wcel
(
co
(
cv
x1
)
(
cv
x4
)
crest
)
ccmp
)
(
λ x4 .
cpw
(
cuni
(
cv
x1
)
)
)
)
(
λ x2 x3 .
cv
x0
)
(
λ x2 x3 .
crab
(
λ x4 .
wss
(
cima
(
cv
x4
)
(
cv
x2
)
)
(
cv
x3
)
)
(
λ x4 .
co
(
cv
x1
)
(
cv
x0
)
ccn
)
)
)
)
cfi
)
ctg
)
)
.
Assume H3:
wceq
ckq
(
cmpt
(
λ x0 .
ctop
)
(
λ x0 .
co
(
cv
x0
)
(
cmpt
(
λ x1 .
cuni
(
cv
x0
)
)
(
λ x1 .
crab
(
λ x2 .
wcel
(
cv
x1
)
(
cv
x2
)
)
(
λ x2 .
cv
x0
)
)
)
cqtop
)
)
.
Assume H4:
wceq
chmeo
(
cmpt2
(
λ x0 x1 .
ctop
)
(
λ x0 x1 .
ctop
)
(
λ x0 x1 .
crab
(
λ x2 .
wcel
(
ccnv
(
cv
x2
)
)
(
co
(
cv
x1
)
(
cv
x0
)
ccn
)
)
(
λ x2 .
co
(
cv
x0
)
(
cv
x1
)
ccn
)
)
)
.
Assume H5:
wceq
chmph
(
cima
(
ccnv
chmeo
)
(
cdif
cvv
c1o
)
)
.
Assume H6:
wceq
cfil
(
cmpt
(
λ x0 .
cvv
)
(
λ x0 .
crab
(
λ x1 .
wral
(
λ x2 .
...
⟶
wcel
(
cv
x2
)
(
cv
x1
)
)
...
)
...
)
)
.
...
■