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Utility theorems
cjex
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fzosumm1
Metamath Proof Explorer
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Theorem
cjex
Description:
The conjugate function is a set.
(Contributed by
SN
, 5-Jun-2025)
Ref
Expression
Assertion
cjex
⊢
*
∈
V
Proof
Step
Hyp
Ref
Expression
1
cjf
⊢
*
:
ℂ
⟶
ℂ
2
cnex
⊢
ℂ
∈
V
3
fex2
⊢
*
:
ℂ
⟶
ℂ
∧
ℂ
∈
V
∧
ℂ
∈
V
→
*
∈
V
4
1
2
2
3
mp3an
⊢
*
∈
V