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Mirrors > Home > ILE Home > Th. List > df-cld | Unicode version |
Description: Define a function on topologies whose value is the set of closed sets of the topology. (Contributed by NM, 2-Oct-2006.) |
Ref | Expression |
---|---|
df-cld |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccld 12633 | . 2 | |
2 | vj | . . 3 | |
3 | ctop 12536 | . . 3 | |
4 | 2 | cv 1341 | . . . . . . 7 |
5 | 4 | cuni 3783 | . . . . . 6 |
6 | vx | . . . . . . 7 | |
7 | 6 | cv 1341 | . . . . . 6 |
8 | 5, 7 | cdif 3108 | . . . . 5 |
9 | 8, 4 | wcel 2135 | . . . 4 |
10 | 5 | cpw 3553 | . . . 4 |
11 | 9, 6, 10 | crab 2446 | . . 3 |
12 | 2, 3, 11 | cmpt 4037 | . 2 |
13 | 1, 12 | wceq 1342 | 1 |
Colors of variables: wff set class |
This definition is referenced by: fncld 12639 cldval 12640 |
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