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	$$⊢{ℂ}_{\mathrm{fld}}\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		cnfldstr	$$⊢{ℂ}_{\mathrm{fld}}\mathrm{Struct}⟨1,13⟩$$
2		structex	$$⊢{ℂ}_{\mathrm{fld}}\mathrm{Struct}⟨1,13⟩\to {ℂ}_{\mathrm{fld}}\in \mathrm{V}$$
3	1 2	ax-mp	$$⊢{ℂ}_{\mathrm{fld}}\in \mathrm{V}$$