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Proofgold Proposition
wceq
cprds
(
cmpt2
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
cvv
)
(
λ x0 x1 .
csb
(
cixp
(
λ x2 .
cdm
(
cv
x1
)
)
(
λ x2 .
cfv
(
cfv
(
cv
x2
)
(
cv
x1
)
)
cbs
)
)
(
λ x2 .
csb
(
cmpt2
(
λ x3 x4 .
cv
x2
)
(
λ x3 x4 .
cv
x2
)
(
λ x3 x4 .
cixp
(
λ x5 .
cdm
(
cv
x1
)
)
(
λ x5 .
co
(
cfv
(
cv
x5
)
(
cv
x3
)
)
(
cfv
(
cv
x5
)
(
cv
x4
)
)
(
cfv
(
cfv
(
cv
x5
)
(
cv
x1
)
)
chom
)
)
)
)
(
λ x3 .
cun
(
cun
(
ctp
(
cop
(
cfv
cnx
cbs
)
(
cv
x2
)
)
(
cop
(
cfv
cnx
cplusg
)
(
cmpt2
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cmpt
(
λ x6 .
cdm
(
cv
x1
)
)
(
λ x6 .
co
(
cfv
(
cv
x6
)
(
cv
x4
)
)
(
cfv
(
cv
x6
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x6
)
(
cv
x1
)
)
cplusg
)
)
)
)
)
(
cop
(
cfv
cnx
cmulr
)
(
cmpt2
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cmpt
(
λ x6 .
cdm
(
cv
x1
)
)
(
λ x6 .
co
(
cfv
(
cv
x6
)
(
cv
x4
)
)
(
cfv
(
cv
x6
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x6
)
(
cv
x1
)
)
cmulr
)
)
)
)
)
)
(
ctp
(
cop
(
cfv
cnx
csca
)
(
cv
x0
)
)
(
cop
(
cfv
cnx
cvsca
)
(
cmpt2
(
λ x4 x5 .
cfv
(
cv
x0
)
cbs
)
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cmpt
(
λ x6 .
cdm
(
cv
x1
)
)
(
λ x6 .
co
(
cv
x4
)
(
cfv
(
cv
x6
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x6
)
(
cv
x1
)
)
cvsca
)
)
)
)
)
(
cop
(
cfv
cnx
cip
)
(
cmpt2
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
co
(
cv
x0
)
(
cmpt
(
λ x6 .
cdm
(
cv
x1
)
)
(
λ x6 .
co
(
cfv
(
cv
x6
)
(
cv
x4
)
)
(
cfv
(
cv
x6
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x6
)
(
cv
x1
)
)
cip
)
)
)
cgsu
)
)
)
)
)
(
cun
(
ctp
(
cop
(
cfv
cnx
cts
)
(
cfv
(
ccom
ctopn
(
cv
x1
)
)
cpt
)
)
(
cop
(
cfv
cnx
cple
)
(
copab
(
λ x4 x5 .
wa
(
wss
(
cpr
(
cv
x4
)
(
cv
x5
)
)
(
cv
x2
)
)
(
wral
(
λ x6 .
wbr
(
cfv
(
cv
x6
)
(
cv
x4
)
)
(
cfv
(
cv
x6
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x6
)
(
cv
x1
)
)
cple
)
)
(
λ x6 .
cdm
(
cv
x1
)
)
)
)
)
)
(
cop
(
cfv
cnx
cds
)
(
cmpt2
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
csup
(
cun
(
crn
(
cmpt
(
λ x6 .
cdm
(
cv
x1
)
)
(
λ x6 .
co
(
cfv
(
cv
x6
)
(
cv
x4
)
)
(
cfv
(
cv
x6
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x6
)
(
cv
x1
)
)
cds
)
)
)
)
(
csn
cc0
)
)
cxr
clt
)
)
)
)
(
cpr
(
cop
(
cfv
cnx
chom
)
(
cv
x3
)
)
(
cop
(
cfv
cnx
cco
)
(
cmpt2
(
λ x4 x5 .
cxp
(
cv
x2
)
(
cv
x2
)
)
(
λ x4 x5 .
cv
x2
)
(
λ x4 x5 .
cmpt2
(
λ x6 x7 .
co
(
cv
x5
)
(
cfv
(
cv
x4
)
c2nd
)
(
cv
x3
)
)
(
λ x6 x7 .
cfv
(
cv
x4
)
(
cv
x3
)
)
(
λ x6 x7 .
cmpt
(
λ x8 .
cdm
(
cv
x1
)
)
(
λ x8 .
co
(
cfv
(
cv
x8
)
(
cv
x6
)
)
(
cfv
(
cv
x8
)
(
cv
x7
)
)
(
co
(
cop
(
cfv
(
cv
x8
)
(
cfv
(
cv
x4
)
c1st
)
)
(
cfv
(
cv
x8
)
(
cfv
(
cv
x4
)
c2nd
)
)
)
(
cfv
(
cv
x8
)
(
cv
x5
)
)
(
cfv
(
cfv
(
cv
x8
)
(
cv
x1
)
)
cco
)
)
)
)
)
)
)
)
)
)
)
)
)
type
prop
theory
SetMM
name
df_prds
proof
PUWDt..
Megalodon
-
proofgold address
TMGfk..
creator
36376
PrCmT..
/
c8880..
owner
36376
PrCmT..
/
c8880..
term root
af9d5..