Metamath Proof Explorer


Theorem zringgrp

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

Ref Expression
Assertion zringgrp ℤring ∈ Grp

Proof

Step Hyp Ref Expression
1 zringring ⊢ ℤring ∈ Ring
2 ringgrp ⊢ ( ℤring ∈ Ring → ℤring ∈ Grp )
3 1 2 ax-mp ⊢ ℤring ∈ Grp