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Definition df-nq0 6580
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 6442 . 2  class Q0
2 com 4340 . . . 4  class  om
3 cnpi 6427 . . . 4  class  N.
42, 3cxp 4370 . . 3  class  ( om 
X.  N. )
5 ceq0 6441 . . 3  class ~Q0
64, 5cqs 6135 . 2  class  ( ( om  X.  N. ) /. ~Q0  )
71, 6wceq 1259 1  wff Q0  =  ( ( om 
X.  N. ) /. ~Q0  )
Colors of variables: wff set class
This definition is referenced by:  dfmq0qs  6584  dfplq0qs  6585  nq0ex  6595  nqnq0  6596  nq0nn  6597  addclnq0  6606  mulclnq0  6607  distrnq0  6614  mulcomnq0  6615  addassnq0  6617  prarloclemcalc  6657
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