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 class Field
1 cdr class DivRing
2 ccrg class CRing
3 1 2 cin class DivRing ∩ CRing
4 0 3 wceq wff Field = DivRing ∩ CRing