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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 12355 for the predicate form. (Contributed by NM, 17-Oct-2006.) |
Ref | Expression |
---|---|
df-cn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccn 12343 | . 2 | |
2 | vj | . . 3 | |
3 | vk | . . 3 | |
4 | ctop 12153 | . . 3 | |
5 | vf | . . . . . . . . 9 | |
6 | 5 | cv 1330 | . . . . . . . 8 |
7 | 6 | ccnv 4533 | . . . . . . 7 |
8 | vy | . . . . . . . 8 | |
9 | 8 | cv 1330 | . . . . . . 7 |
10 | 7, 9 | cima 4537 | . . . . . 6 |
11 | 2 | cv 1330 | . . . . . 6 |
12 | 10, 11 | wcel 1480 | . . . . 5 |
13 | 3 | cv 1330 | . . . . 5 |
14 | 12, 8, 13 | wral 2414 | . . . 4 |
15 | 13 | cuni 3731 | . . . . 5 |
16 | 11 | cuni 3731 | . . . . 5 |
17 | cmap 6535 | . . . . 5 | |
18 | 15, 16, 17 | co 5767 | . . . 4 |
19 | 14, 5, 18 | crab 2418 | . . 3 |
20 | 2, 3, 4, 4, 19 | cmpo 5769 | . 2 |
21 | 1, 20 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: cnfval 12352 iscn2 12358 ishmeo 12462 |
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