Definition df-nq0 7756

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 7618	. 2 class Q0
2		com 4717	. . . 4 class om
3		cnpi 7603	. . . 4 class N.
4	2, 3	cxp 4752	. . 3 class ( om X. N. )
5		ceq0 7617	. . 3 class ~Q0
6	4, 5	cqs 6779	. 2 class ( ( om X. N. ) /. ~Q0 )
7	1, 6	wceq 1398	1 wff Q0 = ( ( om X. N. ) /. ~Q0 )

This definition is referenced by:  dfmq0qs  7760  dfplq0qs  7761  nq0ex  7771  nqnq0  7772  nq0nn  7773  addclnq0  7782  mulclnq0  7783  distrnq0  7790  mulcomnq0  7791  addassnq0  7793  prarloclemcalc  7833