Definition df-idom 20581

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 20578	. 2 class IDomn
2		ccrg 20119	. . 3 class CRing
3		cdomn 20577	. . 3 class Domn
4	2, 3	cin 3902	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1540	1 wff IDomn = (CRing ∩ Domn)

This definition is referenced by:  isidom  20610  idomdomd  20611  idomcringd  20612  idomrcanOLD  33221  unitpidl1  33361  prmidl0  33387  mxidlirredi  33408