Definition df-idom 21237

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 21233	. 2 class IDomn
2		ccrg 20179	. . 3 class CRing
3		cdomn 21232	. . 3 class Domn
4	2, 3	cin 3946	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1533	1 wff IDomn = (CRing ∩ Domn)

This definition is referenced by:  isidom  21259  idomdomd  21260  idomcringd  21261  idomrcan  32967  unitpidl1  33157  prmidl0  33184  mxidlirredi  33202