Metamath Proof Explorer


Theorem asincl

Description: Closure for the arcsin function. (Contributed by Mario Carneiro, 31-Mar-2015)

Ref Expression
Assertion asincl ⊢ A ∈ ℂ → arcsin ⁡ A ∈ ℂ

Proof

Step Hyp Ref Expression
1 asinf ⊢ arcsin : ℂ ⟶ ℂ
2 1 ffvelcdmi ⊢ A ∈ ℂ → arcsin ⁡ A ∈ ℂ