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 = ( TopOpen ‘ ℂfld )
Assertion	cnfldtop	⊢ 𝐽 ∈ Top

Proof

Step	Hyp	Ref	Expression
1		cnfldtopn.1	⊢ 𝐽 = ( TopOpen ‘ ℂfld )
2	1	cnfldtopon	⊢ 𝐽 ∈ ( TopOn ‘ ℂ )
3	2	topontopi	⊢ 𝐽 ∈ Top