Metamath Proof Explorer

Theorem sinhcl

Description: The closure of the sinh function with complex argument. (Contributed by Jon Pennant, 9-Sep-2026)

Ref Expression
Assertion sinhcl 
|- ( A e. CC -> ( sinh ` A ) e. CC )

Proof

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