Definition df-nq0 7424

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 7286	. 2 class Q0
2		com 4590	. . . 4 class ω
3		cnpi 7271	. . . 4 class N
4	2, 3	cxp 4625	. . 3 class (ω × N)
5		ceq0 7285	. . 3 class ~Q0
6	4, 5	cqs 6534	. 2 class ((ω × N) / ~Q0 )
7	1, 6	wceq 1353	1 wff Q0 = ((ω × N) / ~Q0 )

This definition is referenced by:  dfmq0qs  7428  dfplq0qs  7429  nq0ex  7439  nqnq0  7440  nq0nn  7441  addclnq0  7450  mulclnq0  7451  distrnq0  7458  mulcomnq0  7459  addassnq0  7461  prarloclemcalc  7501