df-field - Intuitionistic Logic Explorer

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Definition df-field 14546

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 14544	. 2 class Field
2		cdr 14543	. . 3 class DivRing
3		ccrg 14243	. . 3 class CRing
4	2, 3	cin 3213	. 2 class (DivRing ∩ CRing)
5	1, 4	wceq 1398	1 wff Field = (DivRing ∩ CRing)

Colors of variables: wff set class

This definition is referenced by: isfld 14555