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Mirrors > Home > ILE Home > Th. List > df-ms | Unicode version |
Description: Define the (proper) class of metric spaces. (Contributed by NM, 27-Aug-2006.) |
Ref | Expression |
---|---|
df-ms |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cms 12506 | . 2 | |
2 | vf | . . . . . . 7 | |
3 | 2 | cv 1330 | . . . . . 6 |
4 | cds 12030 | . . . . . 6 | |
5 | 3, 4 | cfv 5123 | . . . . 5 |
6 | cbs 11959 | . . . . . . 7 | |
7 | 3, 6 | cfv 5123 | . . . . . 6 |
8 | 7, 7 | cxp 4537 | . . . . 5 |
9 | 5, 8 | cres 4541 | . . . 4 |
10 | cmet 12150 | . . . . 5 | |
11 | 7, 10 | cfv 5123 | . . . 4 |
12 | 9, 11 | wcel 1480 | . . 3 |
13 | cxms 12505 | . . 3 | |
14 | 12, 2, 13 | crab 2420 | . 2 |
15 | 1, 14 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: isms 12622 |
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