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Metamath Proof Explorer

Theorem crngringd

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

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

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