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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmopn 11997 |
. 2
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2 | vd |
. . 3
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3 | cxmet 11992 |
. . . . 5
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4 | 3 | crn 4500 |
. . . 4
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5 | 4 | cuni 3702 |
. . 3
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6 | 2 | cv 1313 |
. . . . . 6
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7 | cbl 11994 |
. . . . . 6
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8 | 6, 7 | cfv 5081 |
. . . . 5
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9 | 8 | crn 4500 |
. . . 4
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10 | ctg 11978 |
. . . 4
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11 | 9, 10 | cfv 5081 |
. . 3
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12 | 2, 5, 11 | cmpt 3949 |
. 2
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13 | 1, 12 | wceq 1314 |
1
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Colors of variables: wff set class |
This definition is referenced by: mopnrel 12430 mopnval 12431 isxms2 12441 |
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