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 ∈ ℂ → sinh ⁡ A ∈ ℂ

Proof

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