Definition df-q 8705

Description: Define the set of rational numbers. Based on definition of rationals in [Apostol] p. 22. See elq 8707 for the relation "is rational." (Contributed by NM, 8-Jan-2002.)

Assertion

Ref	Expression
df-q	⊢ ℚ = ( / “ (ℤ × ℕ))

Detailed syntax breakdown of Definition df-q

Step	Hyp	Ref	Expression
1		cq 8704	. 2 class ℚ
2		cdiv 7760	. . 3 class /
3		cz 8351	. . . 4 class ℤ
4		cn 8039	. . . 4 class ℕ
5	3, 4	cxp 4361	. . 3 class (ℤ × ℕ)
6	2, 5	cima 4366	. 2 class ( / “ (ℤ × ℕ))
7	1, 6	wceq 1284	1 wff ℚ = ( / “ (ℤ × ℕ))

This definition is referenced by:  elq  8707