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 )