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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 19432 | . 2 class Field | |
2 | cdr 19431 | . . 3 class DivRing | |
3 | ccrg 19227 | . . 3 class CRing | |
4 | 2, 3 | cin 3932 | . 2 class (DivRing ∩ CRing) |
5 | 1, 4 | wceq 1528 | 1 wff Field = (DivRing ∩ CRing) |
Colors of variables: wff setvar class |
This definition is referenced by: isfld 19440 bj-flddrng 34458 fldc 44282 fldhmsubc 44283 fldcALTV 44300 fldhmsubcALTV 44301 |
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