Theorem sincl

Description: Closure of the sine function. (Contributed by NM, 28-Apr-2005) (Revised by Mario Carneiro, 30-Apr-2014)

	Ref	Expression
Assertion	sincl	⊢ ( 𝐴 ∈ ℂ → ( sin ‘ 𝐴 ) ∈ ℂ )

Proof

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