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Metamath Proof Explorer

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	$⊢ A \in ℂ \to \sin A \in ℂ$

Step	Hyp	Ref	Expression
1		sinf	$⊢ \sin : ℂ ⟶ ℂ$
2	1	ffvelcdmi	$⊢ A \in ℂ \to \sin A \in ℂ$