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Iwasawalib
.
NumberTheory
.
Cyclotomic
.
FiniteField
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Imports
Init
Mathlib.NumberTheory.Cyclotomic.Basic
Imported by
FiniteField
.
isCyclotomicExtension_iff_isAlgClosure
Cyclotomic extension of finite field
#
source
theorem
FiniteField
.
isCyclotomicExtension_iff_isAlgClosure
(
K
:
Type
u_1)
(
L
:
Type
u_2)
[
Field
K
]
[
Field
L
]
[
Algebra
K
L
]
[
Finite
K
]
:
IsCyclotomicExtension
{
n
:
ℕ
|
↑
n
≠
0
}
K
L
↔
IsAlgClosure
K
L