Description: Real closure of absolute value. (Contributed by NM, 2-Aug-1999)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | absvalsqi.1 | |- A e. CC |
|
| Assertion | abscli | |- ( abs ` A ) e. RR |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | absvalsqi.1 | |- A e. CC |
|
| 2 | abscl | |- ( A e. CC -> ( abs ` A ) e. RR ) |
|
| 3 | 1 2 | ax-mp | |- ( abs ` A ) e. RR |