Definition df-field 20896

Description: A field is a commutative division ring. (Contributed by Mario Carneiro, 17-Jun-2015.)

Assertion

Ref	Expression
df-field	⊢ Field = (DivRing ∩ CRing)

Detailed syntax breakdown of Definition df-field

Step	Hyp	Ref	Expression
1		cfield 20894	. 2 class Field
2		cdr 20893	. . 3 class DivRing
3		ccrg 20376	. . 3 class CRing
4	2, 3	cin 3898	. 2 class (DivRing ∩ CRing)
5	1, 4	wceq 1570	1 wff Field = (DivRing ∩ CRing)

This definition is used by:  isfld  20906  fldc  20953  fldhmsubc  20954  bj-fldssdrng  38043  fldcALTV  49250  fldhmsubcALTV  49251