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Mirrors > Home > ILE Home > Th. List > df-topgen | Unicode version |
Description: Define a function that converts a basis to its corresponding topology. Equivalent to the definition of a topology generated by a basis in [Munkres] p. 78. (Contributed by NM, 16-Jul-2006.) |
Ref | Expression |
---|---|
df-topgen |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctg 12507 | . 2 | |
2 | vx | . . 3 | |
3 | cvv 2721 | . . 3 | |
4 | vy | . . . . . 6 | |
5 | 4 | cv 1341 | . . . . 5 |
6 | 2 | cv 1341 | . . . . . . 7 |
7 | 5 | cpw 3553 | . . . . . . 7 |
8 | 6, 7 | cin 3110 | . . . . . 6 |
9 | 8 | cuni 3783 | . . . . 5 |
10 | 5, 9 | wss 3111 | . . . 4 |
11 | 10, 4 | cab 2150 | . . 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: tgval 12590 eltg4i 12596 eltg3 12598 tg1 12600 tg2 12601 tgclb 12606 |
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