Theorem cxp0d

Description: Value of the complex power function when the second argument is zero. (Contributed by Mario Carneiro, 30-May-2016)

	Ref	Expression
Hypothesis	cxp0d.1	|- ( ph -> A e. CC )
Assertion	cxp0d	|- ( ph -> ( A ^c 0 ) = 1 )

Proof

Step	Hyp	Ref	Expression
1		cxp0d.1	|- ( ph -> A e. CC )
2		cxp0	|- ( A e. CC -> ( A ^c 0 ) = 1 )
3	1 2	syl	|- ( ph -> ( A ^c 0 ) = 1 )