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Metamath Proof Explorer

Theorem ringmnd

Description: A ring is a monoid under addition. (Contributed by Mario Carneiro, 7-Jan-2015)

		Ref	Expression
	Assertion	ringmnd	$⊢ R \in Ring \to R \in Mnd$

Step	Hyp	Ref	Expression
1		ringgrp	$⊢ R \in Ring \to R \in Grp$
2	1	grpmndd	$⊢ R \in Ring \to R \in Mnd$