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Mirrors > Home > NFE Home > Th. List > df-sik | Unicode version |
Description: Define the Kuratowski singleton image operation. (Contributed by SF, 12-Jan-2015.) |
Ref | Expression |
---|---|
df-sik | SIk |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | 1 | csik 4181 | . 2 SIk |
3 | vx | . . . . . . . 8 | |
4 | 3 | cv 1641 | . . . . . . 7 |
5 | vy | . . . . . . . . 9 | |
6 | 5 | cv 1641 | . . . . . . . 8 |
7 | vz | . . . . . . . . 9 | |
8 | 7 | cv 1641 | . . . . . . . 8 |
9 | 6, 8 | copk 4057 | . . . . . . 7 |
10 | 4, 9 | wceq 1642 | . . . . . 6 |
11 | vt | . . . . . . . . . . . 12 | |
12 | 11 | cv 1641 | . . . . . . . . . . 11 |
13 | 12 | csn 3737 | . . . . . . . . . 10 |
14 | 6, 13 | wceq 1642 | . . . . . . . . 9 |
15 | vu | . . . . . . . . . . . 12 | |
16 | 15 | cv 1641 | . . . . . . . . . . 11 |
17 | 16 | csn 3737 | . . . . . . . . . 10 |
18 | 8, 17 | wceq 1642 | . . . . . . . . 9 |
19 | 12, 16 | copk 4057 | . . . . . . . . . 10 |
20 | 19, 1 | wcel 1710 | . . . . . . . . 9 |
21 | 14, 18, 20 | w3a 934 | . . . . . . . 8 |
22 | 21, 15 | wex 1541 | . . . . . . 7 |
23 | 22, 11 | wex 1541 | . . . . . 6 |
24 | 10, 23 | wa 358 | . . . . 5 |
25 | 24, 7 | wex 1541 | . . . 4 |
26 | 25, 5 | wex 1541 | . . 3 |
27 | 26, 3 | cab 2339 | . 2 |
28 | 2, 27 | wceq 1642 | 1 SIk |
Colors of variables: wff setvar class |
This definition is referenced by: sikeq 4241 opkelsikg 4264 sikssvvk 4266 sikss1c1c 4267 |
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