Description: Imaginary part of negative. (Contributed by NM, 2-Aug-1999)
Ref | Expression | ||
---|---|---|---|
Hypothesis | recl.1 | |- A e. CC |
|
Assertion | imnegi | |- ( Im ` -u A ) = -u ( Im ` A ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | recl.1 | |- A e. CC |
|
2 | imneg | |- ( A e. CC -> ( Im ` -u A ) = -u ( Im ` A ) ) |
|
3 | 1 2 | ax-mp | |- ( Im ` -u A ) = -u ( Im ` A ) |