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Metamath Proof Explorer

Theorem zringgrp

Description: The ring of integers is an (additive) group. (Contributed by AV, 10-Jun-2019)

		Ref	Expression
	Assertion	zringgrp	$⊢ ℤ_{ring} \in Grp$

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