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Proofgold Proposition
∀ x0 x1 x2 :
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
ι → ι
)
→
ι → ι
.
∀ x3 x4 x5 :
(
(
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_8ary_proj_p
x3
⟶
ChurchNum_8ary_proj_p
x4
⟶
ChurchNum_8ary_proj_p
x5
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
(
λ x7 x8 x9 :
(
ι → ι
)
→
ι → ι
.
x7
)
(
λ x7 x8 x9 x10 x11 x12 x13 x14 :
(
ι → ι
)
→
ι → ι
.
x7
)
x0
x3
=
λ x7 x8 .
x7
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
(
λ x7 x8 x9 :
(
ι → ι
)
→
ι → ι
.
x7
)
(
λ x7 x8 x9 x10 x11 x12 x13 x14 :
(
ι → ι
)
→
ι → ι
.
x7
)
x1
x4
=
λ x7 x8 .
x7
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
(
λ x7 x8 x9 :
(
ι → ι
)
→
ι → ι
.
x7
)
(
λ x7 x8 x9 x10 x11 x12 x13 x14 :
(
ι → ι
)
→
ι → ι
.
x7
)
x2
x5
=
λ x7 x8 .
x7
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x3
x1
x4
=
λ x7 x8 .
x7
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x3
x2
x5
=
λ x7 x8 .
x7
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x1
x4
x2
x5
=
λ x7 x8 .
x7
)
⟶
ChurchNums_3x8_neq
(
λ x6 x7 x8 :
(
ι → ι
)
→
ι → ι
.
x6
)
(
λ x6 x7 x8 x9 x10 x11 x12 x13 :
(
ι → ι
)
→
ι → ι
.
x6
)
x0
x3
⟶
ChurchNums_3x8_neq
(
λ x6 x7 x8 :
(
ι → ι
)
→
ι → ι
.
x6
)
(
λ x6 x7 x8 x9 x10 x11 x12 x13 :
(
ι → ι
)
→
ι → ι
.
x6
)
x1
x4
⟶
ChurchNums_3x8_neq
(
λ x6 x7 x8 :
(
ι → ι
)
→
ι → ι
.
x6
)
(
λ x6 x7 x8 x9 x10 x11 x12 x13 :
(
ι → ι
)
→
ι → ι
.
x6
)
x2
x5
⟶
ChurchNums_3x8_neq
x0
x3
x1
x4
⟶
ChurchNums_3x8_neq
x0
x3
x2
x5
⟶
ChurchNums_3x8_neq
x1
x4
x2
x5
⟶
False
type
prop
theory
HotG
name
-
proof
PUeWV..
Megalodon
-
proofgold address
TMLRo..
creator
18593
Pr4zB..
/
72de7..
owner
18593
Pr4zB..
/
72de7..
term root
2f9b7..