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Metamath Proof Explorer

Theorem ablcmnd

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

		Ref	Expression
	Hypothesis	ablcmnd.1	$⊢ φ \to G \in Abel$
	Assertion	ablcmnd	$⊢ φ \to G \in CMnd$

Step	Hyp	Ref	Expression
1		ablcmnd.1	$⊢ φ \to G \in Abel$
2		ablcmn	$⊢ G \in Abel \to G \in CMnd$
3	1 2	syl	$⊢ φ \to G \in CMnd$