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Proofgold Signed Transaction
vin
PrR6y..
/
5f97a..
PULKm..
/
bac8f..
vout
PrR6y..
/
db137..
25.00 bars
TMK7o..
/
bc5da..
negprop ownership controlledby
PrJJf..
upto 0
TMVym..
/
0405b..
ownership of
be514..
as prop with payaddr
PrJJf..
rights free controlledby
PrJJf..
upto 0
TMNVh..
/
f1ecf..
ownership of
893e7..
as prop with payaddr
PrJJf..
rights free controlledby
PrJJf..
upto 0
PUcb5..
/
9cc94..
doc published by
PrJJf..
Known
Eps_i_ex
Eps_i_R2
:
∀ x0 :
ι → ο
.
(
∃ x1 .
x0
x1
)
⟶
x0
(
Eps_i
x0
)
Known
39854..
andEL
:
∀ x0 x1 : ο .
and
x0
x1
⟶
x0
Known
7f305..
EmptyAx
:
not
(
∃ x0 .
In
x0
0
)
Known
b4782..
contra
:
∀ x0 : ο .
(
not
x0
⟶
False
)
⟶
x0
Known
notE
notE
:
∀ x0 : ο .
not
x0
⟶
x0
⟶
False
Known
8106d..
notI
:
∀ x0 : ο .
(
x0
⟶
False
)
⟶
not
x0
Known
5f823..
not_ex_all_demorgan_i
:
∀ x0 :
ι → ο
.
not
(
∃ x1 .
x0
x1
)
⟶
∀ x1 .
not
(
x0
x1
)
Known
0ff1b..
:
∀ x0 x1 : ο .
not
(
x0
⟶
x1
)
⟶
and
x0
(
not
x1
)
Theorem
be514..
:
(
∃ x0 .
and
(
In
x0
0
)
(
∀ x2 .
(
∀ x3 .
Subq
x3
x0
⟶
and
(
∃ x4 .
and
(
In
x4
x2
)
(
∃ x6 .
and
(
nat_p
x4
)
(
not
(
TransSet
x0
)
)
)
)
(
∃ x4 .
and
(
∃ x6 .
and
(
not
(
atleast3
0
)
)
(
not
(
atleast3
(
binrep
(
Power
(
Power
(
Power
(
Power
0
)
)
)
)
(
Power
(
Power
0
)
)
)
)
)
)
(
and
(
exactly2
x0
)
(
∀ x6 .
Subq
x6
x0
⟶
and
(
not
(
TransSet
x2
)
)
(
In
x6
x3
)
)
)
)
⟶
∀ x4 .
In
x4
x2
⟶
(
∃ x5 .
and
(
Subq
x5
x4
)
(
TransSet
x0
)
)
⟶
not
(
atleast5
x4
)
)
⟶
∀ x3 .
atleast4
(
Power
(
Power
(
Power
(
Power
0
)
)
)
)
)
)
⟶
∀ x0 : ο .
x0
...