Theorem crnggrpd

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

	Ref	Expression
Hypothesis	crngringd.1	⊢ ( 𝜑 → 𝑅 ∈ CRing )
Assertion	crnggrpd	⊢ ( 𝜑 → 𝑅 ∈ Grp )

Proof

Step	Hyp	Ref	Expression
1		crngringd.1	⊢ ( 𝜑 → 𝑅 ∈ CRing )
2	1	crngringd	⊢ ( 𝜑 → 𝑅 ∈ Ring )
3	2	ringgrpd	⊢ ( 𝜑 → 𝑅 ∈ Grp )