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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-fld | Structured version Visualization version GIF version |
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 |
---|---|
df-fld | ⊢ Fld = (DivRingOps ∩ Com2) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cfld 35886 | . 2 class Fld | |
2 | cdrng 35843 | . . 3 class DivRingOps | |
3 | ccm2 35884 | . . 3 class Com2 | |
4 | 2, 3 | cin 3865 | . 2 class (DivRingOps ∩ Com2) |
5 | 1, 4 | wceq 1543 | 1 wff Fld = (DivRingOps ∩ Com2) |
Colors of variables: wff setvar class |
This definition is referenced by: flddivrng 35894 fldcrng 35899 isfld2 35900 |
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