Metamath Proof Explorer


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