Definition df-idom 20605

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 20602	. 2 class IDomn
2		ccrg 20143	. . 3 class CRing
3		cdomn 20601	. . 3 class Domn
4	2, 3	cin 3913	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1540	1 wff IDomn = (CRing ∩ Domn)

This definition is referenced by:  isidom  20634  idomdomd  20635  idomcringd  20636  idomrcanOLD  33232  unitpidl1  33395  prmidl0  33421  mxidlirredi  33442