Metamath Proof Explorer


Definition df-idom

Description: Anintegral domain is a commutative domain. (Contributed by Mario Carneiro, 17-Jun-2015)

Ref Expression
Assertion df-idom
|- IDomn = ( CRing i^i Domn )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cidom
 |-  IDomn
1 ccrg
 |-  CRing
2 cdomn
 |-  Domn
3 1 2 cin
 |-  ( CRing i^i Domn )
4 0 3 wceq
 |-  IDomn = ( CRing i^i Domn )