Metamath Proof Explorer


Definition df-crngo

Description: Define the class of commutative rings. (Contributed by Jeff Madsen, 8-Jun-2010)

Ref Expression
Assertion df-crngo CRingOps = ( RingOps ∩ Com2 )

Detailed syntax breakdown

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 )