Theorem ringgrpd

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

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

Proof

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