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 ∈ ℂ → ( exp ‘ 𝐴 ) ∈ ℂ )

Proof

Step	Hyp	Ref	Expression
1		eff	⊢ exp : ℂ ⟶ ℂ
2	1	ffvelcdmi	⊢ ( 𝐴 ∈ ℂ → ( exp ‘ 𝐴 ) ∈ ℂ )