This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
Description: A positive real is a complex number. (Contributed by Mario Carneiro, 28-May-2016)
|
|
Ref |
Expression |
|
Hypothesis |
rpred.1 |
|- ( ph -> A e. RR+ ) |
|
Assertion |
rpcnd |
|- ( ph -> A e. CC ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
rpred.1 |
|- ( ph -> A e. RR+ ) |
| 2 |
1
|
rpred |
|- ( ph -> A e. RR ) |
| 3 |
2
|
recnd |
|- ( ph -> A e. CC ) |