Description: Define the p -adic integers, as a subset of the p -adic rationals. (Contributed by Mario Carneiro, 2-Dec-2014)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-zp | ⊢ Zp = ( ZRing ∘ Qp ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | czp | ⊢ Zp | |
| 1 | czr | ⊢ ZRing | |
| 2 | cqp | ⊢ Qp | |
| 3 | 1 2 | ccom | ⊢ ( ZRing ∘ Qp ) |
| 4 | 0 3 | wceq | ⊢ Zp = ( ZRing ∘ Qp ) |