Definition df-nq0 7580

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 7442	. 2 class Q0
2		com 4659	. . . 4 class ω
3		cnpi 7427	. . . 4 class N
4	2, 3	cxp 4694	. . 3 class (ω × N)
5		ceq0 7441	. . 3 class ~Q0
6	4, 5	cqs 6649	. 2 class ((ω × N) / ~Q0 )
7	1, 6	wceq 1375	1 wff Q0 = ((ω × N) / ~Q0 )

This definition is referenced by:  dfmq0qs  7584  dfplq0qs  7585  nq0ex  7595  nqnq0  7596  nq0nn  7597  addclnq0  7606  mulclnq0  7607  distrnq0  7614  mulcomnq0  7615  addassnq0  7617  prarloclemcalc  7657