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Mirrors > Home > MPE Home > Th. List > df-fcls | Structured version Visualization version Unicode version |
Description: Define a function that takes a filter in a topology to its set of cluster points. (Contributed by Jeff Hankins, 10-Nov-2009.) |
Ref | Expression |
---|---|
df-fcls |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cfcls 21006 |
. 2
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2 | vj |
. . 3
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3 | vf |
. . 3
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4 | ctop 19972 |
. . 3
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5 | cfil 20915 |
. . . . 5
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6 | 5 | crn 4857 |
. . . 4
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7 | 6 | cuni 4212 |
. . 3
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8 | 2 | cv 1454 |
. . . . . 6
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9 | 8 | cuni 4212 |
. . . . 5
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10 | 3 | cv 1454 |
. . . . . 6
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11 | 10 | cuni 4212 |
. . . . 5
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12 | 9, 11 | wceq 1455 |
. . . 4
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13 | vx |
. . . . 5
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14 | 13 | cv 1454 |
. . . . . 6
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15 | ccl 20088 |
. . . . . . 7
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16 | 8, 15 | cfv 5605 |
. . . . . 6
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17 | 14, 16 | cfv 5605 |
. . . . 5
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18 | 13, 10, 17 | ciin 4293 |
. . . 4
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19 | c0 3743 |
. . . 4
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20 | 12, 18, 19 | cif 3893 |
. . 3
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21 | 2, 3, 4, 7, 20 | cmpt2 6322 |
. 2
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22 | 1, 21 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: fclsval 21078 isfcls 21079 |
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