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 e. CC -> ( sin ` A ) e. CC )

Proof

Step Hyp Ref Expression
1 sinf 
 |-  sin : CC --> CC
2 1 ffvelcdmi 
 |-  ( A e. CC -> ( sin ` A ) e. CC )