Description: The (unital) ring of integers. (Contributed by Alexander van der Vekens, 9-Jun-2019)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-zring | ⊢ ℤring = ( ℂfld ↾s ℤ ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | czring | ⊢ ℤring | |
| 1 | ccnfld | ⊢ ℂfld | |
| 2 | cress | ⊢ ↾s | |
| 3 | cz | ⊢ ℤ | |
| 4 | 1 3 2 | co | ⊢ ( ℂfld ↾s ℤ ) |
| 5 | 0 4 | wceq | ⊢ ℤring = ( ℂfld ↾s ℤ ) |