ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-field GIF version

Definition df-field 14465
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
StepHypRef Expression
1 cfield 14463 . 2 class Field
2 cdr 14462 . . 3 class DivRing
3 ccrg 14162 . . 3 class CRing
42, 3cin 3212 . 2 class (DivRing ∩ CRing)
51, 4wceq 1398 1 wff Field = (DivRing ∩ CRing)
Colors of variables: wff set class
This definition is referenced by:  isfld  14474
  Copyright terms: Public domain W3C validator