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Mirrors > Home > ILE Home > Th. List > df-cn | Unicode version |
Description: Define a function on two topologies whose value is the set of continuous mappings from the first topology to the second. Based on definition of continuous function in [Munkres] p. 102. See iscn 13330 for the predicate form. (Contributed by NM, 17-Oct-2006.) |
Ref | Expression |
---|---|
df-cn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccn 13318 |
. 2
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2 | vj |
. . 3
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3 | vk |
. . 3
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4 | ctop 13128 |
. . 3
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5 | vf |
. . . . . . . . 9
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6 | 5 | cv 1352 |
. . . . . . . 8
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7 | 6 | ccnv 4621 |
. . . . . . 7
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8 | vy |
. . . . . . . 8
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9 | 8 | cv 1352 |
. . . . . . 7
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10 | 7, 9 | cima 4625 |
. . . . . 6
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11 | 2 | cv 1352 |
. . . . . 6
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12 | 10, 11 | wcel 2148 |
. . . . 5
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13 | 3 | cv 1352 |
. . . . 5
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14 | 12, 8, 13 | wral 2455 |
. . . 4
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15 | 13 | cuni 3807 |
. . . . 5
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16 | 11 | cuni 3807 |
. . . . 5
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17 | cmap 6641 |
. . . . 5
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18 | 15, 16, 17 | co 5868 |
. . . 4
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19 | 14, 5, 18 | crab 2459 |
. . 3
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20 | 2, 3, 4, 4, 19 | cmpo 5870 |
. 2
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21 | 1, 20 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: cnfval 13327 iscn2 13333 ishmeo 13437 |
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