Metamath Proof Explorer


Definition df-field

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

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

Detailed syntax breakdown

Step Hyp Ref Expression
0 cfield Field
1 cdr DivRing
2 ccrg CRing
3 1 2 cin ( DivRing ∩ CRing )
4 0 3 wceq Field = ( DivRing ∩ CRing )