Metamath Proof Explorer

Theorem trgtps

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

Ref Expression
Assertion trgtps 
|- ( R e. TopRing -> R e. TopSp )

Proof

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