Metamath Proof Explorer


Theorem tdrgtmd

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

Ref Expression
Assertion tdrgtmd ( 𝑅 ∈ TopDRing → 𝑅 ∈ TopMnd )

Proof

Step Hyp Ref Expression
1 tdrgtrg ( 𝑅 ∈ TopDRing → 𝑅 ∈ TopRing )
2 trgtmd2 ( 𝑅 ∈ TopRing → 𝑅 ∈ TopMnd )
3 1 2 syl ( 𝑅 ∈ TopDRing → 𝑅 ∈ TopMnd )