Definition df-nq0 6615

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 6477	. 2 class Q0
2		com 4331	. . . 4 class ω
3		cnpi 6462	. . . 4 class N
4	2, 3	cxp 4361	. . 3 class (ω × N)
5		ceq0 6476	. . 3 class ~Q0
6	4, 5	cqs 6128	. 2 class ((ω × N) / ~Q0 )
7	1, 6	wceq 1284	1 wff Q0 = ((ω × N) / ~Q0 )

This definition is referenced by:  dfmq0qs  6619  dfplq0qs  6620  nq0ex  6630  nqnq0  6631  nq0nn  6632  addclnq0  6641  mulclnq0  6642  distrnq0  6649  mulcomnq0  6650  addassnq0  6652  prarloclemcalc  6692