Description: Fields are division rings. (Contributed by BJ, 6-Jan-2024)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | bj-fldssdrng | ⊢ Field ⊆ DivRing | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | df-field | ⊢ Field = ( DivRing ∩ CRing ) | |
| 2 | inss1 | ⊢ ( DivRing ∩ CRing ) ⊆ DivRing | |
| 3 | 1 2 | eqsstri | ⊢ Field ⊆ DivRing |