Theorem trgtps

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

	Ref	Expression
Assertion	trgtps	⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopSp )

Proof

Step	Hyp	Ref	Expression
1		trgtgp	⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopGrp )
2		tgptps	⊢ ( 𝑅 ∈ TopGrp → 𝑅 ∈ TopSp )
3	1 2	syl	⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopSp )