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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
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Utility theorems
cjex
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fzosumm1
Metamath Proof Explorer
Ascii
Structured
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