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Metamath Proof Explorer

Theorem ablgrpd

Description: An Abelian group is a group, deduction form of ablgrp . (Contributed by Rohan Ridenour, 3-Aug-2023)

		Ref	Expression
	Hypothesis	ablgrpd.1	$⊢ φ \to G \in Abel$
	Assertion	ablgrpd	$⊢ φ \to G \in Grp$

Step	Hyp	Ref	Expression
1		ablgrpd.1	$⊢ φ \to G \in Abel$
2		ablgrp	$⊢ G \in Abel \to G \in Grp$
3	1 2	syl	$⊢ φ \to G \in Grp$