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Metamath Proof Explorer

Theorem zringabl

Description: The ring of integers is an (additive) abelian group. (Contributed by AV, 13-Jun-2019)

		Ref	Expression
	Assertion	zringabl	$⊢ ℤ_{ring} \in Abel$

Step	Hyp	Ref	Expression
1		zringring	$⊢ ℤ_{ring} \in Ring$
2		ringabl	$⊢ ℤ_{ring} \in Ring \to ℤ_{ring} \in Abel$
3	1 2	ax-mp	$⊢ ℤ_{ring} \in Abel$