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Metamath Proof Explorer

Theorem cnfldtps

Description: The complex number field is a topological space. (Contributed by Mario Carneiro, 28-Aug-2015)

		Ref	Expression
	Assertion	cnfldtps	$⊢ ℂ_{fld} \in TopSp$

Step	Hyp	Ref	Expression
1		cnfldms	$⊢ ℂ_{fld} \in MetSp$
2		mstps	$⊢ ℂ_{fld} \in MetSp \to ℂ_{fld} \in TopSp$
3	1 2	ax-mp	$⊢ ℂ_{fld} \in TopSp$