Description: Nonnegative exponentiation with a real exponent is nonnegative. (Contributed by Mario Carneiro, 30-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypotheses | recxpcld.1 | |
|
recxpcld.2 | |
||
recxpcld.3 | |
||
Assertion | cxpge0d | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | recxpcld.1 | |
|
2 | recxpcld.2 | |
|
3 | recxpcld.3 | |
|
4 | cxpge0 | |
|
5 | 1 2 3 4 | syl3anc | |