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Definition df-cmet 19714
Description: Define the class of complete metrics. (Contributed by Mario Carneiro, 1-May-2014.)
Assertion
Ref Expression
df-cmet
Distinct variable group:   , ,

Detailed syntax breakdown of Definition df-cmet
StepHypRef Expression
1 cms 19711 . 2
2 vx . . 3
3 cvv 3006 . . 3
4 vd . . . . . . . . 9
54cv 1661 . . . . . . . 8
6 cmopn 17194 . . . . . . . 8
75, 6cfv 5417 . . . . . . 7
8 vf . . . . . . . 8
98cv 1661 . . . . . . 7
10 cflim 18470 . . . . . . 7
117, 9, 10co 6067 . . . . . 6
12 c0 3660 . . . . . 6
1311, 12wne 2644 . . . . 5
14 ccfil 19709 . . . . . 6
155, 14cfv 5417 . . . . 5
1613, 8, 15wral 2751 . . . 4
172cv 1661 . . . . 5
18 cme 17190 . . . . 5
1917, 18cfv 5417 . . . 4
2016, 4, 19crab 2755 . . 3
212, 3, 20cmpt 4360 . 2
221, 21wceq 1662 1
Colors of variables: wff set class
This definition is referenced by:  iscmet  19741
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