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Mirrors > Home > ILE Home > Th. List > df-fbas | Unicode version |
Description: Define the class of all filter bases. Note that a filter base on one set is also a filter base for any superset, so there is not a unique base set that can be recovered. (Contributed by Jeff Hankins, 1-Sep-2009.) (Revised by Stefan O'Rear, 11-Jul-2015.) |
Ref | Expression |
---|---|
df-fbas |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cfbas 13116 |
. 2
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2 | vw |
. . 3
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3 | cvv 2737 |
. . 3
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4 | vx |
. . . . . . 7
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5 | 4 | cv 1352 |
. . . . . 6
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6 | c0 3422 |
. . . . . 6
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7 | 5, 6 | wne 2347 |
. . . . 5
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8 | 6, 5 | wnel 2442 |
. . . . 5
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9 | vy |
. . . . . . . . . . . 12
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10 | 9 | cv 1352 |
. . . . . . . . . . 11
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11 | vz |
. . . . . . . . . . . 12
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12 | 11 | cv 1352 |
. . . . . . . . . . 11
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13 | 10, 12 | cin 3128 |
. . . . . . . . . 10
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14 | 13 | cpw 3574 |
. . . . . . . . 9
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15 | 5, 14 | cin 3128 |
. . . . . . . 8
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16 | 15, 6 | wne 2347 |
. . . . . . 7
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17 | 16, 11, 5 | wral 2455 |
. . . . . 6
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18 | 17, 9, 5 | wral 2455 |
. . . . 5
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19 | 7, 8, 18 | w3a 978 |
. . . 4
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20 | 2 | cv 1352 |
. . . . . 6
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21 | 20 | cpw 3574 |
. . . . 5
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22 | 21 | cpw 3574 |
. . . 4
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23 | 19, 4, 22 | crab 2459 |
. . 3
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24 | 2, 3, 23 | cmpt 4061 |
. 2
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25 | 1, 24 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: (None) |
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