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Metamath Proof Explorer

Theorem efcl

Description: Closure law for the exponential function. (Contributed by NM, 8-Jan-2006) (Revised by Mario Carneiro, 10-Nov-2013)

		Ref	Expression
	Assertion	efcl	$⊢ A \in ℂ \to e^{A} \in ℂ$

Step	Hyp	Ref	Expression
1		eff	$⊢ \exp : ℂ ⟶ ℂ$
2	1	ffvelcdmi	$⊢ A \in ℂ \to e^{A} \in ℂ$