| Mathbox for Mario Carneiro |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-zp | Structured version Visualization version GIF version | ||
| Description: Define the 𝑝-adic integers, as a subset of the 𝑝-adic rationals. (Contributed by Mario Carneiro, 2-Dec-2014.) |
| Ref | Expression |
|---|---|
| df-zp | ⊢ Zp = (ZRing ∘ Qp) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | czp 31545 | . 2 class Zp | |
| 2 | czr 31538 | . . 3 class ZRing | |
| 3 | cqp 31543 | . . 3 class Qp | |
| 4 | 2, 3 | ccom 5118 | . 2 class (ZRing ∘ Qp) |
| 5 | 1, 4 | wceq 1483 | 1 wff Zp = (ZRing ∘ Qp) |
| Colors of variables: wff setvar class |
| This definition is referenced by: (None) |
| Copyright terms: Public domain | W3C validator |