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