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Definition df-q 8999
Description: Define the set of rational numbers. Based on definition of rationals in [Apostol] p. 22. See elq 9001 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
StepHypRef Expression
1 cq 8998 . 2 class
2 cdiv 8036 . . 3 class /
3 cz 8645 . . . 4 class
4 cn 8315 . . . 4 class
53, 4cxp 4398 . . 3 class (ℤ × ℕ)
62, 5cima 4403 . 2 class ( / “ (ℤ × ℕ))
71, 6wceq 1285 1 wff ℚ = ( / “ (ℤ × ℕ))
Colors of variables: wff set class
This definition is referenced by:  elq  9001
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