Users' Mathboxes Mathbox for Thierry Arnoux < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-ofld Structured version   Visualization version   GIF version

Definition df-ofld 30798
Description: Define class of all ordered fields. An ordered field is a field with a total ordering compatible with its operations. (Contributed by Thierry Arnoux, 18-Jan-2018.)
Assertion
Ref Expression
df-ofld oField = (Field ∩ oRing)

Detailed syntax breakdown of Definition df-ofld
StepHypRef Expression
1 cofld 30796 . 2 class oField
2 cfield 19432 . . 3 class Field
3 corng 30795 . . 3 class oRing
42, 3cin 3932 . 2 class (Field ∩ oRing)
51, 4wceq 1528 1 wff oField = (Field ∩ oRing)
Colors of variables: wff setvar class
This definition is referenced by:  isofld  30802
  Copyright terms: Public domain W3C validator