Theorem coshcl

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

	Ref	Expression
Assertion	coshcl	⊢ ( 𝐴 ∈ ℂ → ( cosh ‘ 𝐴 ) ∈ ℂ )

Proof

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