Metamath Proof Explorer

Theorem trgtmd2

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

Ref Expression
Assertion trgtmd2 
|- ( R e. TopRing -> R e. TopMnd )

Proof

Step Hyp Ref Expression
1 trgtgp 
 |-  ( R e. TopRing -> R e. TopGrp )
2 tgptmd 
 |-  ( R e. TopGrp -> R e. TopMnd )
3 1 2 syl 
 |-  ( R e. TopRing -> R e. TopMnd )