Theorem 1cxpd

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

	Ref	Expression
Hypothesis	cxp0d.1	$$⊢\phi \to A\in ℂ$$
Assertion	1cxpd	$$⊢\phi \to 1^A=1$$

Proof

Step	Hyp	Ref	Expression
1		cxp0d.1	$$⊢\phi \to A\in ℂ$$
2		1cxp	$$⊢A\in ℂ\to 1^A=1$$
3	1 2	syl	$$⊢\phi \to 1^A=1$$