Description: Define the metric completion of the algebraic completion of the p -adic rationals. (Contributed by Mario Carneiro, 2-Dec-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | df-cp | |- Cp = ( cplMetSp o. _Qp ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | ccp | |- Cp |
|
1 | ccpms | |- cplMetSp |
|
2 | cqpa | |- _Qp |
|
3 | 1 2 | ccom | |- ( cplMetSp o. _Qp ) |
4 | 0 3 | wceq | |- Cp = ( cplMetSp o. _Qp ) |