Definition df-idom 20960

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 20957	. 2 class IDomn
2		ccrg 20472	. . 3 class CRing
3		cdomn 20956	. . 3 class Domn
4	2, 3	cin 4091	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1569	1 wff IDomn = (CRing ∩ Domn)

This definition is used by:  isidom  20988  idomdomd  20989  idomcringd  20990  prmidl0  21646  dfidom2  49579