Definition df-idom 20654

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

Assertion

Ref	Expression
df-idom	⊢ IDomn = (CRing ∩ Domn)

Detailed syntax breakdown of Definition df-idom

Step	Hyp	Ref	Expression
1		cidom 20651	. 2 class IDomn
2		ccrg 20192	. . 3 class CRing
3		cdomn 20650	. . 3 class Domn
4	2, 3	cin 3925	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1540	1 wff IDomn = (CRing ∩ Domn)

This definition is referenced by:  isidom  20683  idomdomd  20684  idomcringd  20685  idomrcanOLD  33222  unitpidl1  33385  prmidl0  33411  mxidlirredi  33432