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CarmichaelTotient
.
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Imports
Init
CarmichaelTotient.Defs
Imported by
CarmichaelTotient
.
hasAtLeastTwoPositiveTotientPreimages_one
CarmichaelTotient
.
hasAtLeastTwoPositiveTotientPreimages_two
CarmichaelTotient
.
not_hasUnique_of_hasAtLeastTwo
CarmichaelTotient
.
not_hasUniquePositiveTotientPreimage_zero
CarmichaelTotient
.
not_hasUniquePositiveTotientPreimage_one
CarmichaelTotient
.
not_hasUniquePositiveTotientPreimage_two
source
theorem
CarmichaelTotient
.
hasAtLeastTwoPositiveTotientPreimages_one
:
HasAtLeastTwoPositiveTotientPreimages
1
source
theorem
CarmichaelTotient
.
hasAtLeastTwoPositiveTotientPreimages_two
:
HasAtLeastTwoPositiveTotientPreimages
2
source
theorem
CarmichaelTotient
.
not_hasUnique_of_hasAtLeastTwo
{
n
:
ℕ
}
(
h
:
HasAtLeastTwoPositiveTotientPreimages
n
)
:
¬
HasUniquePositiveTotientPreimage
n
source
theorem
CarmichaelTotient
.
not_hasUniquePositiveTotientPreimage_zero
:
¬
HasUniquePositiveTotientPreimage
0
source
theorem
CarmichaelTotient
.
not_hasUniquePositiveTotientPreimage_one
:
¬
HasUniquePositiveTotientPreimage
1
source
theorem
CarmichaelTotient
.
not_hasUniquePositiveTotientPreimage_two
:
¬
HasUniquePositiveTotientPreimage
2