Description: A ring is a monoid under addition. (Contributed by Mario Carneiro, 7-Jan-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | ringmnd | |- ( R e. Ring -> R e. Mnd ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ringgrp | |- ( R e. Ring -> R e. Grp ) |
|
2 | grpmnd | |- ( R e. Grp -> R e. Mnd ) |
|
3 | 1 2 | syl | |- ( R e. Ring -> R e. Mnd ) |