Definition df-idom 14570

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 14567	. 2 class IDomn
2		ccrg 14303	. . 3 class CRing
3		cdomn 14566	. . 3 class Domn
4	2, 3	cin 3219	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1402	1 wff IDomn = (CRing ∩ Domn)

This definition is used by:  isidom  14587  idomdomd  14588  idomcringd  14589