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Proofgold Address
address
PUgya2vVtjHDFsUxgekQhk4THemh5PGfTgN
total
0
mg
-
conjpub
-
current assets
4f0ef..
/
c21b4..
bday:
144
doc published by
Pr8qe..
Known
False_def
False_def
:
False
=
∀ x1 : ο .
x1
Known
True_def
True_def
:
True
=
∀ x1 : ο .
x1
⟶
x1
Known
not_def
not_def
:
not
=
λ x1 : ο .
x1
⟶
False
Known
and_def
and_def
:
and
=
λ x1 x2 : ο .
∀ x3 : ο .
(
x1
⟶
x2
⟶
x3
)
⟶
x3
Theorem
FalseE
FalseE
:
False
⟶
∀ x0 : ο .
x0
...
Theorem
TrueI
TrueI
:
True
...
Theorem
notE
notE
:
∀ x0 : ο .
not
x0
⟶
x0
⟶
False
...
Theorem
andE
andE
:
∀ x0 x1 : ο .
and
x0
x1
⟶
∀ x2 : ο .
(
x0
⟶
x1
⟶
x2
)
⟶
x2
...
Theorem
and_notTrue
:
∀ x0 : ο .
and
x0
(
not
True
)
⟶
∀ x1 : ο .
x1
...
Theorem
first_bounty_thm
:
(
∀ x0 :
ι → ο
.
∀ x1 :
ι → ι
.
and
(
(
x0
(
x1
(
binintersect
(
x1
(
Power
0
)
)
(
x1
(
binrep
(
Power
(
Power
(
Power
0
)
)
)
0
)
)
)
)
⟶
TransSet
(
x1
0
)
⟶
∀ x2 .
In
x2
0
⟶
∃ x3 .
and
(
Subq
x3
x2
)
(
exactly2
(
ordsucc
(
x1
x3
)
)
)
)
⟶
∃ x2 .
and
(
∃ x4 .
and
(
Subq
x4
x2
)
(
x2
=
x1
x2
⟶
∃ x6 .
and
(
Subq
x6
x2
)
(
not
(
x0
(
setprod
x4
(
binrep
(
Power
(
binrep
(
Power
(
Power
0
)
)
0
)
)
(
Power
(
Power
0
)
)
)
)
)
)
)
)
(
not
(
SNo
x2
)
)
)
(
not
(
x0
(
x1
(
x1
(
x1
(
binrep
(
binrep
(
Power
(
binrep
(
Power
(
Power
0
)
)
0
)
)
(
Power
0
)
)
0
)
)
)
)
)
)
)
⟶
∀ x0 : ο .
x0
...
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