Definition df-nq0 6523

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

Step	Hyp	Ref	Expression
1		cnq0 6385	. 2 class Q0
2		com 4313	. . . 4 class ω
3		cnpi 6370	. . . 4 class N
4	2, 3	cxp 4343	. . 3 class (ω × N)
5		ceq0 6384	. . 3 class ~Q0
6	4, 5	cqs 6105	. 2 class ((ω × N) / ~Q0 )
7	1, 6	wceq 1243	1 wff Q0 = ((ω × N) / ~Q0 )

This definition is referenced by:  dfmq0qs  6527  dfplq0qs  6528  nq0ex  6538  nqnq0  6539  nq0nn  6540  addclnq0  6549  mulclnq0  6550  distrnq0  6557  mulcomnq0  6558  addassnq0  6560  prarloclemcalc  6600