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Mirrors > Home > ILE Home > Th. List > df-cj | Unicode version |
Description: Define the complex conjugate function. See cjcli 10864 for its closure and cjval 10796 for its value. (Contributed by NM, 9-May-1999.) (Revised by Mario Carneiro, 6-Nov-2013.) |
Ref | Expression |
---|---|
df-cj |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccj 10790 | . 2 | |
2 | vx | . . 3 | |
3 | cc 7759 | . . 3 | |
4 | 2 | cv 1347 | . . . . . . 7 |
5 | vy | . . . . . . . 8 | |
6 | 5 | cv 1347 | . . . . . . 7 |
7 | caddc 7764 | . . . . . . 7 | |
8 | 4, 6, 7 | co 5850 | . . . . . 6 |
9 | cr 7760 | . . . . . 6 | |
10 | 8, 9 | wcel 2141 | . . . . 5 |
11 | ci 7763 | . . . . . . 7 | |
12 | cmin 8077 | . . . . . . . 8 | |
13 | 4, 6, 12 | co 5850 | . . . . . . 7 |
14 | cmul 7766 | . . . . . . 7 | |
15 | 11, 13, 14 | co 5850 | . . . . . 6 |
16 | 15, 9 | wcel 2141 | . . . . 5 |
17 | 10, 16 | wa 103 | . . . 4 |
18 | 17, 5, 3 | crio 5805 | . . 3 |
19 | 2, 3, 18 | cmpt 4048 | . 2 |
20 | 1, 19 | wceq 1348 | 1 |
Colors of variables: wff set class |
This definition is referenced by: cjval 10796 cjf 10798 |
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