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Metamath Proof Explorer

Theorem trgtps

Description: A topological ring is a topological space. (Contributed by Mario Carneiro, 5-Oct-2015)

		Ref	Expression
	Assertion	trgtps	$⊢ R \in TopRing \to R \in TopSp$

Step	Hyp	Ref	Expression
1		trgtgp	$⊢ R \in TopRing \to R \in TopGrp$
2		tgptps	$⊢ R \in TopGrp \to R \in TopSp$
3	1 2	syl	$⊢ R \in TopRing \to R \in TopSp$