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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 38020 | . 2 class Fld | |
| 2 | cdrng 37977 | . . 3 class DivRingOps | |
| 3 | ccm2 38018 | . . 3 class Com2 | |
| 4 | 2, 3 | cin 3930 | . 2 class (DivRingOps ∩ Com2) |
| 5 | 1, 4 | wceq 1540 | 1 wff Fld = (DivRingOps ∩ Com2) |
| Colors of variables: wff setvar class |
| This definition is referenced by: flddivrng 38028 fldcrngo 38033 isfld2 38034 |
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