Definition df-nq0 6408

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

Detailed syntax breakdown of Definition df-nq0

Step	Hyp	Ref	Expression
1		cnq0 6271	. 2 class Q0
2		com 4256	. . . 4 class om
3		cnpi 6256	. . . 4 class N.
4	2, 3	cxp 4286	. . 3 class ( om X. N.)
5		ceq0 6270	. . 3 class ~Q0
6	4, 5	cqs 6041	. 2 class (( om X. N.) /. ~Q0 )
7	1, 6	wceq 1242	1 wff Q0 = (( om X. N.) /. ~Q0 )

This definition is referenced by:  dfmq0qs  6412  dfplq0qs  6413  nq0ex  6423  nqnq0  6424  nq0nn  6425  addclnq0  6434  mulclnq0  6435  distrnq0  6442  mulcomnq0  6443  addassnq0  6445  prarloclemcalc  6485