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Definition df-nq0 6581
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 = ((ω × N) / ~Q0 )

Detailed syntax breakdown of Definition df-nq0
StepHypRef Expression
1 cnq0 6443 . 2 class Q0
2 com 4341 . . . 4 class ω
3 cnpi 6428 . . . 4 class N
42, 3cxp 4371 . . 3 class (ω × N)
5 ceq0 6442 . . 3 class ~Q0
64, 5cqs 6136 . 2 class ((ω × N) / ~Q0 )
71, 6wceq 1259 1 wff Q0 = ((ω × N) / ~Q0 )
Colors of variables: wff set class
This definition is referenced by:  dfmq0qs  6585  dfplq0qs  6586  nq0ex  6596  nqnq0  6597  nq0nn  6598  addclnq0  6607  mulclnq0  6608  distrnq0  6615  mulcomnq0  6616  addassnq0  6618  prarloclemcalc  6658
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