Theorem drngringd

Description: A division ring is a ring. (Contributed by SN, 16-May-2024)

	Ref	Expression
Hypothesis	drngringd.1	$$⊢\phi \to R\in \mathrm{DivRing}$$
Assertion	drngringd	$$⊢\phi \to R\in \mathrm{Ring}$$

Proof

Step	Hyp	Ref	Expression
1		drngringd.1	$$⊢\phi \to R\in \mathrm{DivRing}$$
2		drngring	$$⊢R\in \mathrm{DivRing}\to R\in \mathrm{Ring}$$
3	1 2	syl	$$⊢\phi \to R\in \mathrm{Ring}$$