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Mirrors > Home > ILE Home > Th. List > df-nei | Unicode version |
Description: Define a function on topologies whose value is a map from a subset to its neighborhoods. (Contributed by NM, 11-Feb-2007.) |
Ref | Expression |
---|---|
df-nei |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnei 12853 | . 2 | |
2 | vj | . . 3 | |
3 | ctop 12710 | . . 3 | |
4 | vx | . . . 4 | |
5 | 2 | cv 1347 | . . . . . 6 |
6 | 5 | cuni 3794 | . . . . 5 |
7 | 6 | cpw 3564 | . . . 4 |
8 | 4 | cv 1347 | . . . . . . . 8 |
9 | vg | . . . . . . . . 9 | |
10 | 9 | cv 1347 | . . . . . . . 8 |
11 | 8, 10 | wss 3121 | . . . . . . 7 |
12 | vy | . . . . . . . . 9 | |
13 | 12 | cv 1347 | . . . . . . . 8 |
14 | 10, 13 | wss 3121 | . . . . . . 7 |
15 | 11, 14 | wa 103 | . . . . . 6 |
16 | 15, 9, 5 | wrex 2449 | . . . . 5 |
17 | 16, 12, 7 | crab 2452 | . . . 4 |
18 | 4, 7, 17 | cmpt 4048 | . . 3 |
19 | 2, 3, 18 | cmpt 4048 | . 2 |
20 | 1, 19 | wceq 1348 | 1 |
Colors of variables: wff set class |
This definition is referenced by: neifval 12855 |
Copyright terms: Public domain | W3C validator |