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 )