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Metamath Proof Explorer

Theorem slmdmnd

Description: A semimodule is a monoid. (Contributed by Thierry Arnoux, 1-Apr-2018)

		Ref	Expression
	Assertion	slmdmnd	$⊢ W \in SLMod \to W \in Mnd$

Step	Hyp	Ref	Expression
1		slmdcmn	$⊢ W \in SLMod \to W \in CMnd$
2		cmnmnd	$⊢ W \in CMnd \to W \in Mnd$
3	1 2	syl	$⊢ W \in SLMod \to W \in Mnd$