Theorem sincld

Description: Closure of the sine function. (Contributed by Mario Carneiro, 29-May-2016)

	Ref	Expression
Hypothesis	sincld.1	$$⊢\phi \to A\in ℂ$$
Assertion	sincld	$$⊢\phi \to \sin A\in ℂ$$

Proof

Step	Hyp	Ref	Expression
1		sincld.1	$$⊢\phi \to A\in ℂ$$
2		sincl	$$⊢A\in ℂ\to \sin A\in ℂ$$
3	1 2	syl	$$⊢\phi \to \sin A\in ℂ$$