Definition df-idom 20861

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 20858	. 2 class IDomn
2		ccrg 20376	. . 3 class CRing
3		cdomn 20857	. . 3 class Domn
4	2, 3	cin 3898	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1570	1 wff IDomn = (CRing ∩ Domn)

This definition is used by:  isidom  20889  idomdomd  20890  idomcringd  20891  prmidl0  21544  dfidom2  49261