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Mirrors > Home > ILE Home > Th. List > df-bases | Unicode version |
Description: Define the class of topological bases. Equivalent to definition of basis in [Munkres] p. 78 (see isbasis2g 13548). Note that "bases" is the plural of "basis". (Contributed by NM, 17-Jul-2006.) |
Ref | Expression |
---|---|
df-bases |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctb 13545 |
. 2
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2 | vy |
. . . . . . . 8
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3 | 2 | cv 1352 |
. . . . . . 7
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4 | vz |
. . . . . . . 8
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5 | 4 | cv 1352 |
. . . . . . 7
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6 | 3, 5 | cin 3129 |
. . . . . 6
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7 | vx |
. . . . . . . . 9
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8 | 7 | cv 1352 |
. . . . . . . 8
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9 | 6 | cpw 3576 |
. . . . . . . 8
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10 | 8, 9 | cin 3129 |
. . . . . . 7
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11 | 10 | cuni 3810 |
. . . . . 6
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12 | 6, 11 | wss 3130 |
. . . . 5
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13 | 12, 4, 8 | wral 2455 |
. . . 4
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14 | 13, 2, 8 | wral 2455 |
. . 3
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15 | 14, 7 | cab 2163 |
. 2
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16 | 1, 15 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: isbasisg 13547 |
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