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Proofgold Proposition
∀ x0 x1 x2 x3 x4 :
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
ι → ι
)
→
ι → ι
.
∀ x5 x6 x7 x8 x9 :
(
(
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_8ary_proj_p
x5
⟶
x1
=
ChurchNums_8x3_to_3_lt5_id_ge5_rot2
x5
x0
⟶
x6
=
ChurchNums_8_perm_3_4_5_6_7_0_1_2
x5
⟶
ChurchNum_3ary_proj_p
x2
⟶
ChurchNum_3ary_proj_p
x3
⟶
ChurchNum_3ary_proj_p
x4
⟶
ChurchNum_8ary_proj_p
x7
⟶
ChurchNum_8ary_proj_p
x8
⟶
ChurchNum_8ary_proj_p
x9
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x5
x2
x7
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x5
x3
x8
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x0
x5
x4
x9
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x1
x6
x2
x7
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x1
x6
x3
x8
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x1
x6
x4
x9
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x2
x7
x3
x8
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x2
x7
x4
x9
=
λ x11 x12 .
x12
)
⟶
(
TwoRamseyGraph_4_5_24_ChurchNums_3x8
x3
x8
x4
x9
=
λ x11 x12 .
x12
)
⟶
False
type
prop
theory
HotG
name
-
proof
PURQP..
Megalodon
-
proofgold address
TMKJW..
creator
18761
Pr4zB..
/
2e47b..
owner
18761
Pr4zB..
/
2e47b..
term root
e6503..