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Proofgold Term Root Disambiguation
∀ 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
)
⟶
not
(
∀ x6 : ο .
(
(
x0
=
λ x8 x9 x10 :
(
ι → ι
)
→
ι → ι
.
x8
)
⟶
(
x3
=
λ x8 x9 x10 x11 x12 x13 x14 x15 :
(
ι → ι
)
→
ι → ι
.
x12
)
⟶
x6
)
⟶
(
(
x0
=
λ x8 x9 x10 :
(
ι → ι
)
→
ι → ι
.
x9
)
⟶
(
x3
=
λ x8 x9 x10 x11 x12 x13 x14 x15 :
(
ι → ι
)
→
ι → ι
.
x9
)
⟶
x6
)
⟶
(
(
x0
=
λ x8 x9 x10 :
(
ι → ι
)
→
ι → ι
.
x9
)
⟶
(
x3
=
λ x8 x9 x10 x11 x12 x13 x14 x15 :
(
ι → ι
)
→
ι → ι
.
x15
)
⟶
x6
)
⟶
(
(
x0
=
λ x8 x9 x10 :
(
ι → ι
)
→
ι → ι
.
x10
)
⟶
(
x3
=
λ x8 x9 x10 x11 x12 x13 x14 x15 :
(
ι → ι
)
→
ι → ι
.
x12
)
⟶
x6
)
⟶
x6
)
⟶
(
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
as obj
-
as prop
59f06..
theory
HotG
stx
f78d3..
address
TMcu9..