Description: The ring of integers is an (additive) group. (Contributed by AV, 10-Jun-2019)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | zringgrp | ⊢ ℤring ∈ Grp |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | zringring | ⊢ ℤring ∈ Ring | |
| 2 | ringgrp | ⊢ ( ℤring ∈ Ring → ℤring ∈ Grp ) | |
| 3 | 1 2 | ax-mp | ⊢ ℤring ∈ Grp |