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Mirrors > Home > ILE Home > Th. List > df-mopn | Unicode version |
Description: Define a function whose value is the family of open sets of a metric space. (Contributed by NM, 1-Sep-2006.) |
Ref | Expression |
---|---|
df-mopn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmopn 12164 | . 2 | |
2 | vd | . . 3 | |
3 | cxmet 12159 | . . . . 5 | |
4 | 3 | crn 4540 | . . . 4 |
5 | 4 | cuni 3736 | . . 3 |
6 | 2 | cv 1330 | . . . . . 6 |
7 | cbl 12161 | . . . . . 6 | |
8 | 6, 7 | cfv 5123 | . . . . 5 |
9 | 8 | crn 4540 | . . . 4 |
10 | ctg 12145 | . . . 4 | |
11 | 9, 10 | cfv 5123 | . . 3 |
12 | 2, 5, 11 | cmpt 3989 | . 2 |
13 | 1, 12 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: mopnrel 12620 mopnval 12621 isxms2 12631 |
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