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Metamath Proof Explorer

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	$⊢ φ \to A \in ℂ$
	Assertion	cxp0d	$⊢ φ \to A^{0} = 1$

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