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Definition df-nq0 7175
Description: Define class of nonnegative 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 7037 . 2 class Q0
2 com 4462 . . . 4 class ω
3 cnpi 7022 . . . 4 class N
42, 3cxp 4495 . . 3 class (ω × N)
5 ceq0 7036 . . 3 class ~Q0
64, 5cqs 6380 . 2 class ((ω × N) / ~Q0 )
71, 6wceq 1312 1 wff Q0 = ((ω × N) / ~Q0 )
Colors of variables: wff set class
This definition is referenced by:  dfmq0qs  7179  dfplq0qs  7180  nq0ex  7190  nqnq0  7191  nq0nn  7192  addclnq0  7201  mulclnq0  7202  distrnq0  7209  mulcomnq0  7210  addassnq0  7212  prarloclemcalc  7252
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