Description: Afield is a commutative division ring. (Contributed by Mario Carneiro, 17-Jun-2015)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-field | ⊢ Field = ( DivRing ∩ CRing ) |
| 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 ) |