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Mirrors > Home > MPE Home > Th. List > df-cmet | Unicode version |
Description: Define the class of complete metrics. (Contributed by Mario Carneiro, 1-May-2014.) |
Ref | Expression |
---|---|
df-cmet |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cms 19711 | . 2 | |
2 | vx | . . 3 | |
3 | cvv 3006 | . . 3 | |
4 | vd | . . . . . . . . 9 | |
5 | 4 | cv 1661 | . . . . . . . 8 |
6 | cmopn 17194 | . . . . . . . 8 | |
7 | 5, 6 | cfv 5417 | . . . . . . 7 |
8 | vf | . . . . . . . 8 | |
9 | 8 | cv 1661 | . . . . . . 7 |
10 | cflim 18470 | . . . . . . 7 | |
11 | 7, 9, 10 | co 6067 | . . . . . 6 |
12 | c0 3660 | . . . . . 6 | |
13 | 11, 12 | wne 2644 | . . . . 5 |
14 | ccfil 19709 | . . . . . 6 | |
15 | 5, 14 | cfv 5417 | . . . . 5 |
16 | 13, 8, 15 | wral 2751 | . . . 4 |
17 | 2 | cv 1661 | . . . . 5 |
18 | cme 17190 | . . . . 5 | |
19 | 17, 18 | cfv 5417 | . . . 4 |
20 | 16, 4, 19 | crab 2755 | . . 3 |
21 | 2, 3, 20 | cmpt 4360 | . 2 |
22 | 1, 21 | wceq 1662 | 1 |
Colors of variables: wff set class |
This definition is referenced by: iscmet 19741 |
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