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| Description: Define the complex conjugate function. See cjcl 6699 for its closure and cjvalt 6695 for its value. |
| Ref | Expression |
|---|---|
| df-cj |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ccj 6680 |
. 2
| |
| 2 | vx |
. . . . . 6
| |
| 3 | 2 | cv 952 |
. . . . 5
|
| 4 | cc 5204 |
. . . . 5
| |
| 5 | 3, 4 | wcel 955 |
. . . 4
|
| 6 | vy |
. . . . . 6
| |
| 7 | 6 | cv 952 |
. . . . 5
|
| 8 | cre 6678 |
. . . . . . 7
| |
| 9 | 3, 8 | cfv 3172 |
. . . . . 6
|
| 10 | ci 5208 |
. . . . . . 7
| |
| 11 | cim 6679 |
. . . . . . . 8
| |
| 12 | 3, 11 | cfv 3172 |
. . . . . . 7
|
| 13 | cmul 5211 |
. . . . . . 7
| |
| 14 | 10, 12, 13 | co 3948 |
. . . . . 6
|
| 15 | cmin 5264 |
. . . . . 6
| |
| 16 | 9, 14, 15 | co 3948 |
. . . . 5
|
| 17 | 7, 16 | wceq 953 |
. . . 4
|
| 18 | 5, 17 | wa 223 |
. . 3
|
| 19 | 18, 2, 6 | copab 2656 |
. 2
|
| 20 | 1, 19 | wceq 953 |
1
|
| Colors of variables: wff set class |
| This definition is referenced by: cjvalt 6695 cjcncf 7213 |