Theorem 1cxpd

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	1cxpd	|- ( ph -> ( 1 ^c A ) = 1 )

Proof

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