Metamath Proof Explorer


Definition df-fld

Description: Definition of a field. A field is a commutative division ring. (Contributed by FL, 6-Sep-2009) (Revised by Jeff Madsen, 10-Jun-2010) (New usage is discouraged.)

Ref Expression
Assertion df-fld Fld = ( DivRingOps ∩ Com2 )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cfld Fld
1 cdrng DivRingOps
2 ccm2 Com2
3 1 2 cin ( DivRingOps ∩ Com2 )
4 0 3 wceq Fld = ( DivRingOps ∩ Com2 )