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Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-siga | Structured version Visualization version Unicode version |
Description: Define a sigma-algebra,
i.e. a set closed under complement and countable
union. Literature usually uses capital greek sigma and omega letters
for the algebra set, and the base set respectively. We are using ![]() ![]() |
Ref | Expression |
---|---|
df-siga |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csiga 28978 |
. 2
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2 | vo |
. . 3
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3 | cvv 3057 |
. . 3
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4 | vs |
. . . . . . 7
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5 | 4 | cv 1454 |
. . . . . 6
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6 | 2 | cv 1454 |
. . . . . . 7
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7 | 6 | cpw 3963 |
. . . . . 6
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8 | 5, 7 | wss 3416 |
. . . . 5
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9 | 2, 4 | wel 1899 |
. . . . . 6
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10 | vx |
. . . . . . . . . 10
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11 | 10 | cv 1454 |
. . . . . . . . 9
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12 | 6, 11 | cdif 3413 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() |
13 | 12, 5 | wcel 1898 |
. . . . . . 7
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14 | 13, 10, 5 | wral 2749 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | com 6719 |
. . . . . . . . 9
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16 | cdom 7593 |
. . . . . . . . 9
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17 | 11, 15, 16 | wbr 4416 |
. . . . . . . 8
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18 | 11 | cuni 4212 |
. . . . . . . . 9
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19 | 18, 5 | wcel 1898 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() |
20 | 17, 19 | wi 4 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
21 | 5 | cpw 3963 |
. . . . . . 7
![]() ![]() ![]() |
22 | 20, 10, 21 | wral 2749 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
23 | 9, 14, 22 | w3a 991 |
. . . . 5
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24 | 8, 23 | wa 375 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
25 | 24, 4 | cab 2448 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
26 | 2, 3, 25 | cmpt 4475 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
27 | 1, 26 | wceq 1455 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: sigaval 28981 issiga 28982 isrnsigaOLD 28983 isrnsiga 28984 |
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