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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 19503 | . 2 class Field | |
2 | cdr 19502 | . . 3 class DivRing | |
3 | ccrg 19298 | . . 3 class CRing | |
4 | 2, 3 | cin 3935 | . 2 class (DivRing ∩ CRing) |
5 | 1, 4 | wceq 1537 | 1 wff Field = (DivRing ∩ CRing) |
Colors of variables: wff setvar class |
This definition is referenced by: isfld 19511 bj-flddrng 34573 fldc 44374 fldhmsubc 44375 fldcALTV 44392 fldhmsubcALTV 44393 |
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