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Metamath Proof Explorer

Theorem grpmgmd

Description: A group is a magma, deduction form. (Contributed by SN, 14-Apr-2025)

		Ref	Expression
	Hypothesis	grpmgmd.g	$⊢ φ \to G \in Grp$
	Assertion	grpmgmd	$⊢ φ \to G \in Mgm$

Step	Hyp	Ref	Expression
1		grpmgmd.g	$⊢ φ \to G \in Grp$
2	1	grpmndd	$⊢ φ \to G \in Mnd$
3		mndmgm	$⊢ G \in Mnd \to G \in Mgm$
4	2 3	syl	$⊢ φ \to G \in Mgm$