Description: The conjugate of the conjugate is the original complex number. Proposition 10-3.4(e) of Gleason p. 133. (Contributed by Mario Carneiro, 29-May-2016)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | recld.1 | |- ( ph -> A e. CC ) |
|
| Assertion | cjcjd | |- ( ph -> ( * ` ( * ` A ) ) = A ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | recld.1 | |- ( ph -> A e. CC ) |
|
| 2 | cjcj | |- ( A e. CC -> ( * ` ( * ` A ) ) = A ) |
|
| 3 | 1 2 | syl | |- ( ph -> ( * ` ( * ` A ) ) = A ) |