Theorem acoscl

Description: Closure for the arccos function. (Contributed by Mario Carneiro, 31-Mar-2015)

	Ref	Expression
Assertion	acoscl	⊢ ( 𝐴 ∈ ℂ → ( arccos ‘ 𝐴 ) ∈ ℂ )

Proof

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