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 ) |