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Mirrors > Home > MPE Home > Th. List > df-gch | Structured version Unicode version |
Description: Define the collection of
"GCH-sets", or sets for which the generalized
continuum hypothesis holds. In this language the generalized continuum
hypothesis can be expressed as GCH ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-gch |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cgch 8874 |
. 2
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2 | cfn 7396 |
. . 3
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3 | vx |
. . . . . . . . 9
![]() ![]() | |
4 | 3 | cv 1369 |
. . . . . . . 8
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5 | vy |
. . . . . . . . 9
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6 | 5 | cv 1369 |
. . . . . . . 8
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7 | csdm 7395 |
. . . . . . . 8
![]() ![]() | |
8 | 4, 6, 7 | wbr 4376 |
. . . . . . 7
![]() ![]() ![]() ![]() |
9 | 4 | cpw 3944 |
. . . . . . . 8
![]() ![]() ![]() |
10 | 6, 9, 7 | wbr 4376 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() |
11 | 8, 10 | wa 369 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 11 | wn 3 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 12, 5 | wal 1368 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13, 3 | cab 2435 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 2, 14 | cun 3410 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 1, 15 | wceq 1370 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: elgch 8876 fingch 8877 |
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