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 ) |