Theorem sinhcl

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

	Ref	Expression
Assertion	sinhcl	⊢ ( 𝐴 ∈ ℂ → ( sinh ‘ 𝐴 ) ∈ ℂ )

Proof

Step	Hyp	Ref	Expression
1		sinhf	⊢ sinh : ℂ ⟶ ℂ
2	1	ffvelcdmi	⊢ ( 𝐴 ∈ ℂ → ( sinh ‘ 𝐴 ) ∈ ℂ )