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 ) |