Definition df-field 20310

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 20308	. 2 class Field
2		cdr 20307	. . 3 class DivRing
3		ccrg 20050	. . 3 class CRing
4	2, 3	cin 3946	. 2 class (DivRing ∩ CRing)
5	1, 4	wceq 1541	1 wff Field = (DivRing ∩ CRing)

This definition is referenced by:  isfld  20318  bj-fldssdrng  36157  fldc  46934  fldhmsubc  46935  fldcALTV  46952  fldhmsubcALTV  46953