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BASIC REAL AND COMPLEX FUNCTIONS
Basic trigonometry
Inverse trigonometric functions
asincl
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Metamath Proof Explorer
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Theorem
asincl
Description:
Closure for the arcsin function.
(Contributed by
Mario Carneiro
, 31-Mar-2015)
Ref
Expression
Assertion
asincl
⊢
A
∈
ℂ
→
arcsin
⁡
A
∈
ℂ
Proof
Step
Hyp
Ref
Expression
1
asinf
⊢
arcsin
:
ℂ
⟶
ℂ
2
1
ffvelrni
⊢
A
∈
ℂ
→
arcsin
⁡
A
∈
ℂ