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Proofgold Proposition
∀ x0 :
ι → ι
.
(
∀ x1 .
1eb0a..
x1
⟶
and
(
SNo
(
x0
x1
)
)
(
∃ x2 .
and
(
SNo
x2
)
(
∃ x4 .
and
(
SNo
x4
)
(
∃ x6 .
and
(
SNo
x6
)
(
∃ x8 .
and
(
SNo
x8
)
(
∃ x10 .
and
(
SNo
x10
)
(
∃ x12 .
and
(
SNo
x12
)
(
∃ x14 .
and
(
SNo
x14
)
(
x1
=
bbc71..
(
x0
x1
)
x2
x4
x6
x8
x10
x12
x14
)
)
)
)
)
)
)
)
)
⟶
(
∀ x1 .
1eb0a..
x1
⟶
SNo
(
x0
x1
)
)
⟶
∀ x1 :
ι → ι
.
(
∀ x2 .
1eb0a..
x2
⟶
and
(
SNo
(
x1
x2
)
)
(
∃ x3 .
and
(
SNo
x3
)
(
∃ x5 .
and
(
SNo
x5
)
(
∃ x7 .
and
(
SNo
x7
)
(
∃ x9 .
and
(
SNo
x9
)
(
∃ x11 .
and
(
SNo
x11
)
(
∃ x13 .
and
(
SNo
x13
)
(
x2
=
bbc71..
(
x0
x2
)
(
x1
x2
)
x3
x5
x7
x9
x11
x13
)
)
)
)
)
)
)
)
⟶
(
∀ x2 .
1eb0a..
x2
⟶
SNo
(
x1
x2
)
)
⟶
∀ x2 :
ι → ι
.
(
∀ x3 .
1eb0a..
x3
⟶
and
(
SNo
(
x2
x3
)
)
(
∃ x4 .
and
(
SNo
x4
)
(
∃ x6 .
and
(
SNo
x6
)
(
∃ x8 .
and
(
SNo
x8
)
(
∃ x10 .
and
(
SNo
x10
)
(
∃ x12 .
and
(
SNo
x12
)
(
x3
=
bbc71..
(
x0
x3
)
(
x1
x3
)
(
x2
x3
)
x4
x6
x8
x10
x12
)
)
)
)
)
)
)
⟶
(
∀ x3 .
1eb0a..
x3
⟶
SNo
(
x2
x3
)
)
⟶
∀ x3 :
ι → ι
.
(
∀ x4 .
1eb0a..
x4
⟶
and
(
SNo
(
x3
x4
)
)
(
∃ x5 .
and
(
SNo
x5
)
(
∃ x7 .
and
(
SNo
x7
)
(
∃ x9 .
and
(
SNo
x9
)
(
∃ x11 .
and
(
SNo
x11
)
(
x4
=
bbc71..
(
x0
x4
)
(
x1
x4
)
(
x2
x4
)
(
x3
x4
)
x5
x7
x9
x11
)
)
)
)
)
)
⟶
(
∀ x4 .
1eb0a..
x4
⟶
SNo
(
x3
x4
)
)
⟶
∀ x4 :
ι → ι
.
(
∀ x5 .
1eb0a..
x5
⟶
and
(
SNo
(
x4
x5
)
)
(
∃ x6 .
and
(
SNo
x6
)
(
∃ x8 .
and
(
SNo
x8
)
(
∃ x10 .
and
(
SNo
x10
)
(
x5
=
bbc71..
(
x0
x5
)
(
x1
x5
)
(
x2
x5
)
(
x3
x5
)
(
x4
x5
)
x6
x8
x10
)
)
)
)
)
⟶
(
∀ x5 .
1eb0a..
x5
⟶
SNo
(
x4
x5
)
)
⟶
∀ x5 :
ι → ι
.
(
∀ x6 .
1eb0a..
x6
⟶
and
(
SNo
(
x5
x6
)
)
(
∃ x7 .
and
(
SNo
x7
)
(
∃ x9 .
and
(
SNo
x9
)
(
x6
=
bbc71..
(
x0
x6
)
(
x1
x6
)
(
x2
x6
)
(
x3
x6
)
(
x4
x6
)
(
x5
x6
)
x7
x9
)
)
)
)
⟶
(
∀ x6 .
1eb0a..
x6
⟶
SNo
(
x5
x6
)
)
⟶
∀ x6 :
ι → ι
.
(
∀ x7 .
1eb0a..
x7
⟶
and
(
SNo
(
x6
x7
)
)
(
∃ x8 .
and
(
SNo
x8
)
(
x7
=
bbc71..
(
x0
x7
)
(
x1
x7
)
(
x2
x7
)
(
x3
x7
)
(
x4
x7
)
(
x5
x7
)
(
x6
x7
)
x8
)
)
)
⟶
∀ x7 .
1eb0a..
x7
⟶
SNo
(
053de..
x0
x1
x2
x3
x4
x5
x6
x7
)
type
prop
theory
HotG
name
-
proof
PUY4m..
Megalodon
-
proofgold address
TMcSR..
creator
28250
PrQUS..
/
f6eb4..
owner
28250
PrQUS..
/
f6eb4..
term root
4271d..