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Metamath Proof Explorer

Theorem grpsgrp

Description: A group is a semigroup. (Contributed by AV, 28-Aug-2021)

		Ref	Expression
	Assertion	grpsgrp	$⊢ G \in Grp \to G \in Smgrp$

Step	Hyp	Ref	Expression
1		grpmnd	$⊢ G \in Grp \to G \in Mnd$
2		mndsgrp	$⊢ G \in Mnd \to G \in Smgrp$
3	1 2	syl	$⊢ G \in Grp \to G \in Smgrp$