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Metamath Proof Explorer
Description: Afield is a commutative division ring. (Contributed by Mario Carneiro, 17-Jun-2015)
|
|
Ref |
Expression |
|
Assertion |
df-field |
⊢ Field = ( DivRing ∩ CRing ) |
Detailed syntax breakdown
| Step |
Hyp |
Ref |
Expression |
| 0 |
|
cfield |
⊢ Field |
| 1 |
|
cdr |
⊢ DivRing |
| 2 |
|
ccrg |
⊢ CRing |
| 3 |
1 2
|
cin |
⊢ ( DivRing ∩ CRing ) |
| 4 |
0 3
|
wceq |
⊢ Field = ( DivRing ∩ CRing ) |