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Metamath Proof Explorer

Theorem drngringd

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

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

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