Theorem trgtps

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

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

Proof

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