Description: Define the class of commutative rings. (Contributed by Jeff Madsen, 8-Jun-2010)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-crngo | ⊢ CRingOps = ( RingOps ∩ Com2 ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | ccring | ⊢ CRingOps | |
| 1 | crngo | ⊢ RingOps | |
| 2 | ccm2 | ⊢ Com2 | |
| 3 | 1 2 | cin | ⊢ ( RingOps ∩ Com2 ) |
| 4 | 0 3 | wceq | ⊢ CRingOps = ( RingOps ∩ Com2 ) |