Metamath Proof Explorer

Theorem coshcl

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

Ref Expression
Assertion coshcl 
|- ( A e. CC -> ( cosh ` A ) e. CC )

Proof

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