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Mirrors > Home > MPE Home > Th. List > df-ms | Structured version Visualization version Unicode version |
Description: Define the (proper) class of all metric spaces. (Contributed by NM, 27-Aug-2006.) |
Ref | Expression |
---|---|
df-ms |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmt 21333 |
. 2
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2 | vf |
. . . . . . 7
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3 | 2 | cv 1443 |
. . . . . 6
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4 | cds 15199 |
. . . . . 6
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5 | 3, 4 | cfv 5582 |
. . . . 5
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6 | cbs 15121 |
. . . . . . 7
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7 | 3, 6 | cfv 5582 |
. . . . . 6
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8 | 7, 7 | cxp 4832 |
. . . . 5
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9 | 5, 8 | cres 4836 |
. . . 4
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10 | cme 18956 |
. . . . 5
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11 | 7, 10 | cfv 5582 |
. . . 4
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12 | 9, 11 | wcel 1887 |
. . 3
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13 | cxme 21332 |
. . 3
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14 | 12, 2, 13 | crab 2741 |
. 2
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15 | 1, 14 | wceq 1444 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: isms 21464 |
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