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	$$⊢\phi \to A\in ℂ$$
Assertion	cxp0d	$$⊢\phi \to A^0=1$$

Proof

Step	Hyp	Ref	Expression
1		cxp0d.1	$$⊢\phi \to A\in ℂ$$
2		cxp0	$$⊢A\in ℂ\to A^0=1$$
3	1 2	syl	$$⊢\phi \to A^0=1$$