Theorem ringgrpd

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

	Ref	Expression
Hypothesis	ringgrpd.1	⊢ ( 𝜑 → 𝑅 ∈ Ring )
Assertion	ringgrpd	⊢ ( 𝜑 → 𝑅 ∈ Grp )

Proof

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