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| Mirrors > Home > MPE Home > Th. List > df-field | Structured version Visualization version GIF version | ||
| Description: A field is a commutative division ring. (Contributed by Mario Carneiro, 17-Jun-2015.) |
| Ref | Expression |
|---|---|
| df-field | ⊢ Field = (DivRing ∩ CRing) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cfield 20730 | . 2 class Field | |
| 2 | cdr 20729 | . . 3 class DivRing | |
| 3 | ccrg 20231 | . . 3 class CRing | |
| 4 | 2, 3 | cin 3950 | . 2 class (DivRing ∩ CRing) |
| 5 | 1, 4 | wceq 1540 | 1 wff Field = (DivRing ∩ CRing) |
| Colors of variables: wff setvar class |
| This definition is referenced by: isfld 20740 fldc 20785 fldhmsubc 20786 bj-fldssdrng 37289 fldcALTV 48248 fldhmsubcALTV 48249 |
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