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| Mirrors > Home > MPE Home > Th. List > ringmnd | Structured version Visualization version GIF version | ||
| Description: A ring is a monoid under addition. (Contributed by Mario Carneiro, 7-Jan-2015.) |
| Ref | Expression |
|---|---|
| ringmnd | ⊢ (𝑅 ∈ Ring → 𝑅 ∈ Mnd) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ringgrp 20235 | . 2 ⊢ (𝑅 ∈ Ring → 𝑅 ∈ Grp) | |
| 2 | 1 | grpmndd 18964 | 1 ⊢ (𝑅 ∈ Ring → 𝑅 ∈ Mnd) |
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