Theorem bj-flddrng

Description: Fields are division rings. (Contributed by BJ, 6-Jan-2024)

	Ref	Expression
Assertion	bj-flddrng	$$⊢\mathrm{Field}\subseteq \mathrm{DivRing}$$

Proof

Step	Hyp	Ref	Expression
1		df-field	$$⊢\mathrm{Field}=\mathrm{DivRing}\cap \mathrm{CRing}$$
2		inss1	$$⊢\mathrm{DivRing}\cap \mathrm{CRing}\subseteq \mathrm{DivRing}$$
3	1 2	eqsstri	$$⊢\mathrm{Field}\subseteq \mathrm{DivRing}$$