Metamath Proof Explorer


Theorem cnfldex

Description: The field of complex numbers is a set. (Contributed by Stefan O'Rear, 27-Nov-2014) (Revised by Mario Carneiro, 14-Aug-2015) (Revised by Thierry Arnoux, 17-Dec-2017)

Ref Expression
Assertion cnfldex fld ∈ V

Proof

Step Hyp Ref Expression
1 cnfldstr fld Struct ⟨ 1 , 1 3 ⟩
2 structex ( ℂfld Struct ⟨ 1 , 1 3 ⟩ → ℂfld ∈ V )
3 1 2 ax-mp fld ∈ V