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Proofgold Proposition
∀ x0 x1 x2 x3 :
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
ι → ι
)
→
ι → ι
.
∀ x4 x5 x6 x7 :
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
ι → ι
)
→
ι → ι
.
ChurchNum_3ary_proj_p
x0
⟶
ChurchNum_3ary_proj_p
x1
⟶
ChurchNum_3ary_proj_p
x2
⟶
ChurchNum_3ary_proj_p
x3
⟶
ChurchNum_8ary_proj_p
x4
⟶
ChurchNum_8ary_proj_p
x5
⟶
ChurchNum_8ary_proj_p
x6
⟶
ChurchNum_8ary_proj_p
x7
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x4
x1
x5
=
λ x9 x10 .
x9
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x4
x2
x6
=
λ x9 x10 .
x9
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x4
x3
x7
=
λ x9 x10 .
x9
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x1
x5
x2
x6
=
λ x9 x10 .
x9
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x1
x5
x3
x7
=
λ x9 x10 .
x9
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x2
x6
x3
x7
=
λ x9 x10 .
x9
)
⟶
ChurchNums_3x8_neq
x0
x4
x1
x5
⟶
ChurchNums_3x8_neq
x0
x4
x2
x6
⟶
ChurchNums_3x8_neq
x0
x4
x3
x7
⟶
ChurchNums_3x8_neq
x1
x5
x2
x6
⟶
ChurchNums_3x8_neq
x1
x5
x3
x7
⟶
ChurchNums_3x8_neq
x2
x6
x3
x7
⟶
False
type
prop
theory
HotG
name
-
proof
PUKW4..
Megalodon
-
proofgold address
TML3k..
creator
18661
Pr4zB..
/
361a3..
owner
18661
Pr4zB..
/
361a3..
term root
fc1c5..