Theorem drnggrpd

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

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

Proof

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