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Metamath Proof Explorer

Theorem drnggrpd

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

		Ref	Expression
	Hypothesis	drngringd.1	$⊢ φ \to R \in DivRing$
	Assertion	drnggrpd	$⊢ φ \to R \in Grp$

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