Theorem crnggrpd

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

	Ref	Expression
Hypothesis	crngringd.1	$$⊢\phi \to R\in \mathrm{CRing}$$
Assertion	crnggrpd	$$⊢\phi \to R\in \mathrm{Grp}$$

Proof

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