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 ) |
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 ) |