ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-nq0 Unicode version

Definition df-nq0 6521
Description: Define class of non-negative fractions. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by Jim Kingdon, 2-Nov-2019.)
Assertion
Ref Expression
df-nq0  |- Q0  =  ( ( om 
X.  N. ) /. ~Q0  )

Detailed syntax breakdown of Definition df-nq0
StepHypRef Expression
1 cnq0 6383 . 2  class Q0
2 com 4313 . . . 4  class  om
3 cnpi 6368 . . . 4  class  N.
42, 3cxp 4343 . . 3  class  ( om 
X.  N. )
5 ceq0 6382 . . 3  class ~Q0
64, 5cqs 6105 . 2  class  ( ( om  X.  N. ) /. ~Q0  )
71, 6wceq 1243 1  wff Q0  =  ( ( om 
X.  N. ) /. ~Q0  )
Colors of variables: wff set class
This definition is referenced by:  dfmq0qs  6525  dfplq0qs  6526  nq0ex  6536  nqnq0  6537  nq0nn  6538  addclnq0  6547  mulclnq0  6548  distrnq0  6555  mulcomnq0  6556  addassnq0  6558  prarloclemcalc  6598
  Copyright terms: Public domain W3C validator