Definition df-nq0 7600

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 = ( ( om X. N. ) /. ~Q0 )

Detailed syntax breakdown of Definition df-nq0

Step	Hyp	Ref	Expression
1		cnq0 7462	. 2 class Q0
2		com 4679	. . . 4 class om
3		cnpi 7447	. . . 4 class N.
4	2, 3	cxp 4714	. . 3 class ( om X. N. )
5		ceq0 7461	. . 3 class ~Q0
6	4, 5	cqs 6669	. 2 class ( ( om X. N. ) /. ~Q0 )
7	1, 6	wceq 1395	1 wff Q0 = ( ( om X. N. ) /. ~Q0 )

This definition is referenced by:  dfmq0qs  7604  dfplq0qs  7605  nq0ex  7615  nqnq0  7616  nq0nn  7617  addclnq0  7626  mulclnq0  7627  distrnq0  7634  mulcomnq0  7635  addassnq0  7637  prarloclemcalc  7677