Definition df-nq0 6928

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 = ((ω × N) / ~Q0 )

Detailed syntax breakdown of Definition df-nq0

Step	Hyp	Ref	Expression
1		cnq0 6790	. 2 class Q0
2		com 4378	. . . 4 class ω
3		cnpi 6775	. . . 4 class N
4	2, 3	cxp 4409	. . 3 class (ω × N)
5		ceq0 6789	. . 3 class ~Q0
6	4, 5	cqs 6243	. 2 class ((ω × N) / ~Q0 )
7	1, 6	wceq 1287	1 wff Q0 = ((ω × N) / ~Q0 )

This definition is referenced by:  dfmq0qs  6932  dfplq0qs  6933  nq0ex  6943  nqnq0  6944  nq0nn  6945  addclnq0  6954  mulclnq0  6955  distrnq0  6962  mulcomnq0  6963  addassnq0  6965  prarloclemcalc  7005