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Proofgold Term Root Disambiguation
∀ x0 x1 x2 .
∀ x3 x4 :
ι →
ι → ι
.
∀ x5 :
ι →
ι → ο
.
explicit_OrderedField
x0
x1
x2
x3
x4
x5
⟶
∀ x6 : ο .
(
Sep
x0
(
explicit_OrderedField_rationalp
x0
x1
x2
x3
x4
x5
)
⊆
x0
⟶
(
∀ x7 .
x7
∈
Sep
x0
(
explicit_OrderedField_rationalp
x0
x1
x2
x3
x4
x5
)
⟶
∀ x8 : ο .
(
x7
∈
x0
⟶
∀ x9 .
x9
∈
{x10 ∈
x0
|
or
(
or
(
explicit_Field_minus
x0
x1
x2
x3
x4
x10
∈
{x11 ∈
Sep
x0
(
natOfOrderedField_p
x0
x1
x2
x3
x4
x5
)
|
x11
=
x1
⟶
∀ x12 : ο .
x12
}
)
(
x10
=
x1
)
)
(
x10
∈
{x11 ∈
Sep
x0
(
natOfOrderedField_p
x0
x1
x2
x3
x4
x5
)
|
x11
=
x1
⟶
∀ x12 : ο .
x12
}
)
}
⟶
∀ x10 .
x10
∈
{x11 ∈
Sep
x0
(
natOfOrderedField_p
x0
x1
x2
x3
x4
x5
)
|
x11
=
x1
⟶
∀ x12 : ο .
x12
}
⟶
x4
x10
x7
=
x9
⟶
x8
)
⟶
x8
)
⟶
(
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
{x9 ∈
x0
|
or
(
or
(
explicit_Field_minus
x0
x1
x2
x3
x4
x9
∈
{x10 ∈
Sep
x0
(
natOfOrderedField_p
x0
x1
x2
x3
x4
x5
)
|
x10
=
x1
⟶
∀ x11 : ο .
x11
}
)
(
x9
=
x1
)
)
(
x9
∈
{x10 ∈
Sep
x0
(
natOfOrderedField_p
x0
x1
x2
x3
x4
x5
)
|
x10
=
x1
⟶
∀ x11 : ο .
x11
}
)
}
⟶
∀ x9 .
x9
∈
{x10 ∈
Sep
x0
(
natOfOrderedField_p
x0
x1
x2
x3
x4
x5
)
|
x10
=
x1
⟶
∀ x11 : ο .
x11
}
⟶
x4
x9
x7
=
x8
⟶
x7
∈
Sep
x0
(
explicit_OrderedField_rationalp
x0
x1
x2
x3
x4
x5
)
)
⟶
x6
)
⟶
x6
as obj
-
as prop
d268c..
explicit_OrderedField_Q_props
theory
HotG
stx
b2e5e..
address
TMTZy..
explicit_OrderedField_Q_props