Description: A ring is a commutative monoid. (Contributed by SN, 1-Jun-2024)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | ringabld.1 | |- ( ph -> R e. Ring ) | |
| Assertion | ringcmnd | |- ( ph -> R e. CMnd ) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | ringabld.1 | |- ( ph -> R e. Ring ) | |
| 2 | 1 | ringabld | |- ( ph -> R e. Abel ) | 
| 3 | 2 | ablcmnd | |- ( ph -> R e. CMnd ) |