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Mirrors > Home > ILE Home > Th. List > df-cls | Unicode version |
Description: Define a function on topologies whose value is the closure function on the subsets of the base set. See clsval 12905. (Contributed by NM, 3-Oct-2006.) |
Ref | Expression |
---|---|
df-cls |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccl 12888 | . 2 | |
2 | vj | . . 3 | |
3 | ctop 12789 | . . 3 | |
4 | vx | . . . 4 | |
5 | 2 | cv 1347 | . . . . . 6 |
6 | 5 | cuni 3796 | . . . . 5 |
7 | 6 | cpw 3566 | . . . 4 |
8 | 4 | cv 1347 | . . . . . . 7 |
9 | vy | . . . . . . . 8 | |
10 | 9 | cv 1347 | . . . . . . 7 |
11 | 8, 10 | wss 3121 | . . . . . 6 |
12 | ccld 12886 | . . . . . . 7 | |
13 | 5, 12 | cfv 5198 | . . . . . 6 |
14 | 11, 9, 13 | crab 2452 | . . . . 5 |
15 | 14 | cint 3831 | . . . 4 |
16 | 4, 7, 15 | cmpt 4050 | . . 3 |
17 | 2, 3, 16 | cmpt 4050 | . 2 |
18 | 1, 17 | wceq 1348 | 1 |
Colors of variables: wff set class |
This definition is referenced by: clsfval 12895 |
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