Users' Mathboxes Mathbox for Mario Carneiro < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-cp Structured version   Visualization version   GIF version

Definition df-cp 31531
Description: Define the metric completion of the algebraic completion of the 𝑝 -adic rationals. (Contributed by Mario Carneiro, 2-Dec-2014.)
Assertion
Ref Expression
df-cp Cp = ( cplMetSp ∘ _Qp)

Detailed syntax breakdown of Definition df-cp
StepHypRef Expression
1 ccp 31521 . 2 class Cp
2 ccpms 31497 . . 3 class cplMetSp
3 cqpa 31520 . . 3 class _Qp
42, 3ccom 5108 . 2 class ( cplMetSp ∘ _Qp)
51, 4wceq 1481 1 wff Cp = ( cplMetSp ∘ _Qp)
Colors of variables: wff setvar class
This definition is referenced by: (None)
  Copyright terms: Public domain W3C validator