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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 20215 | . 2 ⊢ (𝑅 ∈ Ring → 𝑅 ∈ Grp) | |
2 | 1 | grpmndd 18934 | 1 ⊢ (𝑅 ∈ Ring → 𝑅 ∈ Mnd) |
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