Metamath Proof Explorer

Theorem cxp1d

Description: Value of the complex power function at one. (Contributed by Mario Carneiro, 30-May-2016)

Ref Expression
Hypothesis cxp0d.1 
|- ( ph -> A e. CC )
Assertion cxp1d 
|- ( ph -> ( A ^c 1 ) = A )

Proof

Step Hyp Ref Expression
1 cxp0d.1 
 |-  ( ph -> A e. CC )
2 cxp1 
 |-  ( A e. CC -> ( A ^c 1 ) = A )
3 1 2 syl 
 |-  ( ph -> ( A ^c 1 ) = A )