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Mirrors > Home > ILE Home > Th. List > df-topgen | Unicode version |
Description: Define a function that converts a basis to its corresponding topology. Equivalent to the definition of a topology generated by a basis in [Munkres] p. 78. (Contributed by NM, 16-Jul-2006.) |
Ref | Expression |
---|---|
df-topgen |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctg 11917 |
. 2
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2 | vx |
. . 3
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3 | cvv 2641 |
. . 3
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4 | vy |
. . . . . 6
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5 | 4 | cv 1298 |
. . . . 5
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6 | 2 | cv 1298 |
. . . . . . 7
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7 | 5 | cpw 3457 |
. . . . . . 7
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8 | 6, 7 | cin 3020 |
. . . . . 6
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9 | 8 | cuni 3683 |
. . . . 5
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10 | 5, 9 | wss 3021 |
. . . 4
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11 | 10, 4 | cab 2086 |
. . 3
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12 | 2, 3, 11 | cmpt 3929 |
. 2
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13 | 1, 12 | wceq 1299 |
1
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Colors of variables: wff set class |
This definition is referenced by: tgval 12000 eltg4i 12006 eltg3 12008 tg1 12010 tg2 12011 tgclb 12016 |
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