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 ∈ ℂ → e A ∈ ℂ

Proof

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