Description: A topological ring is a topological space. (Contributed by Mario Carneiro, 5-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | trgtps | ⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopSp ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | trgtgp | ⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopGrp ) | |
2 | tgptps | ⊢ ( 𝑅 ∈ TopGrp → 𝑅 ∈ TopSp ) | |
3 | 1 2 | syl | ⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopSp ) |