This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem crnggrpd

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

		Ref	Expression
	Hypothesis	crngringd.1	$⊢ φ \to R \in CRing$
	Assertion	crnggrpd	$⊢ φ \to R \in Grp$

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