Definition df-nq0 6580

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 6442	. 2 class Q0
2		com 4340	. . . 4 class om
3		cnpi 6427	. . . 4 class N.
4	2, 3	cxp 4370	. . 3 class ( om X. N. )
5		ceq0 6441	. . 3 class ~Q0
6	4, 5	cqs 6135	. 2 class ( ( om X. N. ) /. ~Q0 )
7	1, 6	wceq 1259	1 wff Q0 = ( ( om X. N. ) /. ~Q0 )

This definition is referenced by:  dfmq0qs  6584  dfplq0qs  6585  nq0ex  6595  nqnq0  6596  nq0nn  6597  addclnq0  6606  mulclnq0  6607  distrnq0  6614  mulcomnq0  6615  addassnq0  6617  prarloclemcalc  6657