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Mirrors > Home > ILE Home > Th. List > df-cncf | Unicode version |
Description: Define the operation whose value is a class of continuous complex functions. (Contributed by Paul Chapman, 11-Oct-2007.) |
Ref | Expression |
---|---|
df-cncf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccncf 12715 | . 2 | |
2 | va | . . 3 | |
3 | vb | . . 3 | |
4 | cc 7611 | . . . 4 | |
5 | 4 | cpw 3505 | . . 3 |
6 | vx | . . . . . . . . . . . . 13 | |
7 | 6 | cv 1330 | . . . . . . . . . . . 12 |
8 | vy | . . . . . . . . . . . . 13 | |
9 | 8 | cv 1330 | . . . . . . . . . . . 12 |
10 | cmin 7926 | . . . . . . . . . . . 12 | |
11 | 7, 9, 10 | co 5767 | . . . . . . . . . . 11 |
12 | cabs 10762 | . . . . . . . . . . 11 | |
13 | 11, 12 | cfv 5118 | . . . . . . . . . 10 |
14 | vd | . . . . . . . . . . 11 | |
15 | 14 | cv 1330 | . . . . . . . . . 10 |
16 | clt 7793 | . . . . . . . . . 10 | |
17 | 13, 15, 16 | wbr 3924 | . . . . . . . . 9 |
18 | vf | . . . . . . . . . . . . . 14 | |
19 | 18 | cv 1330 | . . . . . . . . . . . . 13 |
20 | 7, 19 | cfv 5118 | . . . . . . . . . . . 12 |
21 | 9, 19 | cfv 5118 | . . . . . . . . . . . 12 |
22 | 20, 21, 10 | co 5767 | . . . . . . . . . . 11 |
23 | 22, 12 | cfv 5118 | . . . . . . . . . 10 |
24 | ve | . . . . . . . . . . 11 | |
25 | 24 | cv 1330 | . . . . . . . . . 10 |
26 | 23, 25, 16 | wbr 3924 | . . . . . . . . 9 |
27 | 17, 26 | wi 4 | . . . . . . . 8 |
28 | 2 | cv 1330 | . . . . . . . 8 |
29 | 27, 8, 28 | wral 2414 | . . . . . . 7 |
30 | crp 9434 | . . . . . . 7 | |
31 | 29, 14, 30 | wrex 2415 | . . . . . 6 |
32 | 31, 24, 30 | wral 2414 | . . . . 5 |
33 | 32, 6, 28 | wral 2414 | . . . 4 |
34 | 3 | cv 1330 | . . . . 5 |
35 | cmap 6535 | . . . . 5 | |
36 | 34, 28, 35 | co 5767 | . . . 4 |
37 | 33, 18, 36 | crab 2418 | . . 3 |
38 | 2, 3, 5, 5, 37 | cmpo 5769 | . 2 |
39 | 1, 38 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: cncfval 12717 cncfrss 12720 cncfrss2 12721 |
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