Description: A topological ring is a group. (Contributed by Mario Carneiro, 5-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | trggrp | |- ( R e. TopRing -> R e. Grp ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | trgring | |- ( R e. TopRing -> R e. Ring ) |
|
2 | ringgrp | |- ( R e. Ring -> R e. Grp ) |
|
3 | 1 2 | syl | |- ( R e. TopRing -> R e. Grp ) |