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Definition df-nq0 6408
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 6271 . 2 Q0
2 com 4256 . . . 4  om
3 cnpi 6256 . . . 4  N.
42, 3cxp 4286 . . 3  om  X.  N.
5 ceq0 6270 . . 3 ~Q0
64, 5cqs 6041 . 2  om  X.  N. /. ~Q0
71, 6wceq 1242 1 Q0  om  X.  N. /. ~Q0
Colors of variables: wff set class
This definition is referenced by:  dfmq0qs  6412  dfplq0qs  6413  nq0ex  6423  nqnq0  6424  nq0nn  6425  addclnq0  6434  mulclnq0  6435  distrnq0  6442  mulcomnq0  6443  addassnq0  6445  prarloclemcalc  6485
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