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Metamath Proof Explorer

Theorem lmodcmn

Description: A left module is a commutative monoid under addition. (Contributed by NM, 7-Jan-2015)

		Ref	Expression
	Assertion	lmodcmn	$⊢ W \in LMod \to W \in CMnd$

Step	Hyp	Ref	Expression
1		lmodabl	$⊢ W \in LMod \to W \in Abel$
2		ablcmn	$⊢ W \in Abel \to W \in CMnd$
3	1 2	syl	$⊢ W \in LMod \to W \in CMnd$