Description: Value of the complex power function at one. (Contributed by Mario Carneiro, 2-Aug-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | 1cxp | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1cn | |
|
2 | ax-1ne0 | |
|
3 | cxpef | |
|
4 | 1 2 3 | mp3an12 | |
5 | log1 | |
|
6 | 5 | oveq2i | |
7 | mul01 | |
|
8 | 6 7 | eqtrid | |
9 | 8 | fveq2d | |
10 | ef0 | |
|
11 | 9 10 | eqtrdi | |
12 | 4 11 | eqtrd | |