Metamath Proof Explorer

Theorem ringmgm

Description: A ring is a magma. (Contributed by AV, 31-Jan-2020)

		Ref	Expression
	Assertion	ringmgm	$⊢ R \in Ring \to R \in Mgm$

Proof

Step	Hyp	Ref	Expression
1		ringmnd	$⊢ R \in Ring \to R \in Mnd$
2		mndmgm	$⊢ R \in Mnd \to R \in Mgm$
3	1 2	syl	$⊢ R \in Ring \to R \in Mgm$