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Metamath Proof Explorer

Theorem ringgrpd

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

		Ref	Expression
	Hypothesis	ringgrpd.1	$⊢ φ \to R \in Ring$
	Assertion	ringgrpd	$⊢ φ \to R \in Grp$

Step	Hyp	Ref	Expression
1		ringgrpd.1	$⊢ φ \to R \in Ring$
2		ringgrp	$⊢ R \in Ring \to R \in Grp$
3	1 2	syl	$⊢ φ \to R \in Grp$