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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