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