10 Liczby kardynalne, Informatyka, Informatyka
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10
!
10
A
10
F
10
C
10
E
10
G
*
*
!
*
=
≤
f :
!
f :
!
*
+
*
u
+
= {
: |
|≤
}
|u|
u
*
|
|≤
≤
)
|
|≤|
|
*
!
c
|P(!)|
10
10
A
(1)
(2)
<
< |
|
(3)
<
|
| < |
|
(4)
<
|
| = |
|
(1)
)
(2)
≥|
|
<
(2)
)
(3)
|
|≤
(3)
)
(4)
(4)
)
(1)
<
|
| = |
|
2
10
10
B
*
⊗
d
= |
|
⊕
d
=
|
+
|
n
m
n⊕m = n + m
n⊗m = nm
*
S
⊕
=
⊗
=
{
,
}
|u|≤
x∈u
|x|≤
|
u|≤
⊗
=
⊗
=
|
×
| =
|
|⊗|
| <
<
|
|⊗|
|
|
|⊗|
| = |
| <
≤
R
⊆(
×
)×(
×
)
(
1
,
1
)≤
R
(
2
,
2
)
,
(
{
1
,
1
} <
{
2
,
2
}) _ ((
{
1
,
1
} =
{
2
,
2
})
^ ((
1
<
2
_ (
1
=
2
^
1
≤
2
))))
.
10
10
C
*
u
≤
R
×
|(
{
,
} + 1)| <
|
(
×
, (
,
),≤
R
)|≤|(
{
,
} + 1)×(
{
,
} + 1)| = |(
{
,
} + 1)|⊗|(
{
,
} + 1)| =
<
<
(
×
, (
,
),≤
R
)⊆(
{
,
} + 1)×(
{
,
} + 1)
<
<
{
,
} + 1 <
×
(2)
×
,≤
R
≤
≤|
×
| = |
×
,≤
R
|≤
2
10
10
D
(1)
×
,≤
R
>
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