Definition df-idom 20847

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 20844	. 2 class IDomn
2		ccrg 20362	. . 3 class CRing
3		cdomn 20843	. . 3 class Domn
4	2, 3	cin 3905	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1570	1 wff IDomn = (CRing ∩ Domn)

This definition is used by:  isidom  20875  idomdomd  20876  idomcringd  20877  prmidl0  21530  dfidom2  49167