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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 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cfcls 21740 | . 2 | |
2 | vj | . . 3 | |
3 | vf | . . 3 | |
4 | ctop 20698 | . . 3 | |
5 | cfil 21649 | . . . . 5 | |
6 | 5 | crn 5115 | . . . 4 |
7 | 6 | cuni 4436 | . . 3 |
8 | 2 | cv 1482 | . . . . . 6 |
9 | 8 | cuni 4436 | . . . . 5 |
10 | 3 | cv 1482 | . . . . . 6 |
11 | 10 | cuni 4436 | . . . . 5 |
12 | 9, 11 | wceq 1483 | . . . 4 |
13 | vx | . . . . 5 | |
14 | 13 | cv 1482 | . . . . . 6 |
15 | ccl 20822 | . . . . . . 7 | |
16 | 8, 15 | cfv 5888 | . . . . . 6 |
17 | 14, 16 | cfv 5888 | . . . . 5 |
18 | 13, 10, 17 | ciin 4521 | . . . 4 |
19 | c0 3915 | . . . 4 | |
20 | 12, 18, 19 | cif 4086 | . . 3 |
21 | 2, 3, 4, 7, 20 | cmpt2 6652 | . 2 |
22 | 1, 21 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: fclsval 21812 isfcls 21813 |
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