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Proofgold Proposition
∀ x0 x1 .
radical_field_extension
x0
x1
⟶
∀ x2 : ο .
(
Field
x0
⟶
Field
x1
⟶
subfield
x0
x1
⟶
∀ x3 .
x3
∈
omega
⟶
∀ x4 .
ap
x4
0
=
x0
⟶
ap
x4
x3
=
x1
⟶
(
∀ x5 .
x5
∈
ordsucc
x3
⟶
Field
(
ap
x4
x5
)
)
⟶
(
∀ x5 .
x5
∈
ordsucc
x3
⟶
∀ x6 .
x6
∈
ordsucc
x5
⟶
subfield
(
ap
x4
x6
)
(
ap
x4
x5
)
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 : ο .
(
∀ x7 .
and
(
x7
∈
field0
(
ap
x4
(
ordsucc
x5
)
)
)
(
∀ x8 : ο .
(
∀ x9 .
and
(
x9
∈
omega
)
(
and
(
CRing_with_id_omega_exp
(
ap
x4
(
ordsucc
x5
)
)
x7
x9
∈
field0
(
ap
x4
x5
)
)
(
Field_extension_by_1
(
ap
x4
x5
)
(
ap
x4
(
ordsucc
x5
)
)
x7
)
)
⟶
x8
)
⟶
x8
)
⟶
x6
)
⟶
x6
)
⟶
x2
)
⟶
x2
type
prop
theory
HotG
name
radical_field_extension_E
proof
PUXQg..
Megalodon
radical_field_extension_E
proofgold address
TMYAu..
radical_field_extension_E
creator
5919
Pr6Pc..
/
e9488..
owner
5919
Pr6Pc..
/
e9488..
term root
04aa4..