Description: A topological division ring is a topological monoid. (Contributed by Mario Carneiro, 5-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | tdrgtmd | ⊢ ( 𝑅 ∈ TopDRing → 𝑅 ∈ TopMnd ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tdrgtrg | ⊢ ( 𝑅 ∈ TopDRing → 𝑅 ∈ TopRing ) | |
2 | trgtmd2 | ⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopMnd ) | |
3 | 1 2 | syl | ⊢ ( 𝑅 ∈ TopDRing → 𝑅 ∈ TopMnd ) |