Theorem cnfldtop

Description: The topology of the complex numbers is a topology. (Contributed by Mario Carneiro, 2-Sep-2015)

	Ref	Expression
Hypothesis	cnfldtopn.1	$$⊢J=\mathrm{TopOpen}\left({ℂ}_{\mathrm{fld}}\right)$$
Assertion	cnfldtop	$$⊢J\in \mathrm{Top}$$

Proof

Step	Hyp	Ref	Expression
1		cnfldtopn.1	$$⊢J=\mathrm{TopOpen}\left({ℂ}_{\mathrm{fld}}\right)$$
2	1	cnfldtopon	$$⊢J\in \mathrm{TopOn}\left(ℂ\right)$$
3	2	topontopi	$$⊢J\in \mathrm{Top}$$