Metamath Proof Explorer

Theorem tdrgtps

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

Ref Expression
Assertion tdrgtps ⊢ R ∈ TopDRing → R ∈ TopSp

Proof

Step Hyp Ref Expression
1 tdrgtrg ⊢ R ∈ TopDRing → R ∈ TopRing
2 trgtps ⊢ R ∈ TopRing → R ∈ TopSp
3 1 2 syl ⊢ R ∈ TopDRing → R ∈ TopSp