Definition df-idom 20900

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 20896	. 2 class IDomn
2		ccrg 20056	. . 3 class CRing
3		cdomn 20895	. . 3 class Domn
4	2, 3	cin 3947	. 2 class (CRing ∩ Domn)
5	1, 4	wceq 1541	1 wff IDomn = (CRing ∩ Domn)

This definition is referenced by:  isidom  20921  idomdomd  32369  idomringd  32370  idomrcan  32372  unitpidl1  32537  prmidl0  32564  mxidlirredi  32582