Definition df-nq0 7798

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

Step	Hyp	Ref	Expression
1		cnq0 7660	. 2 class Q0
2		com 4739	. . . 4 class ω
3		cnpi 7645	. . . 4 class N
4	2, 3	cxp 4774	. . 3 class (ω × N)
5		ceq0 7659	. . 3 class ~Q0
6	4, 5	cqs 6811	. 2 class ((ω × N) / ~Q0 )
7	1, 6	wceq 1402	1 wff Q0 = ((ω × N) / ~Q0 )

This definition is used by:  dfmq0qs  7802  dfplq0qs  7803  nq0ex  7813  nqnq0  7814  nq0nn  7815  addclnq0  7824  mulclnq0  7825  distrnq0  7832  mulcomnq0  7833  addassnq0  7835  prarloclemcalc  7875