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Metamath Proof Explorer

Theorem grpmndd

Description: A group is a monoid. (Contributed by SN, 1-Jun-2024)

		Ref	Expression
	Hypothesis	grpmndd.1	$⊢ φ \to G \in Grp$
	Assertion	grpmndd	$⊢ φ \to G \in Mnd$

Step	Hyp	Ref	Expression
1		grpmndd.1	$⊢ φ \to G \in Grp$
2		grpmnd	$⊢ G \in Grp \to G \in Mnd$
3	1 2	syl	$⊢ φ \to G \in Mnd$