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BASIC REAL AND COMPLEX FUNCTIONS
Basic trigonometry
Inverse trigonometric functions
acoscl
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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
ffvelrni
⊢
A
∈
ℂ
→
arccos
⁡
A
∈
ℂ