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| Mirrors > Home > MPE Home > Th. List > crngringd | Structured version Visualization version GIF version | ||
| Description: A commutative ring is a ring. (Contributed by SN, 16-May-2024.) |
| Ref | Expression |
|---|---|
| crngringd.1 | ⊢ (𝜑 → 𝑅 ∈ CRing) |
| Ref | Expression |
|---|---|
| crngringd | ⊢ (𝜑 → 𝑅 ∈ Ring) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | crngringd.1 | . 2 ⊢ (𝜑 → 𝑅 ∈ CRing) | |
| 2 | crngring 20242 | . 2 ⊢ (𝑅 ∈ CRing → 𝑅 ∈ Ring) | |
| 3 | 1, 2 | syl 17 | 1 ⊢ (𝜑 → 𝑅 ∈ Ring) |
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