Metamath Proof Explorer


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