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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 20187 | . 2 class Field | |
2 | cdr 20186 | . . 3 class DivRing | |
3 | ccrg 19966 | . . 3 class CRing | |
4 | 2, 3 | cin 3910 | . 2 class (DivRing ∩ CRing) |
5 | 1, 4 | wceq 1542 | 1 wff Field = (DivRing ∩ CRing) |
Colors of variables: wff setvar class |
This definition is referenced by: isfld 20197 bj-fldssdrng 35762 fldc 46388 fldhmsubc 46389 fldcALTV 46406 fldhmsubcALTV 46407 |
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