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Definition df-q 11665
Description: Define the set of rational numbers. Based on definition of rationals in [Apostol] p. 22. See elq 11666 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 11664 . 2 class
2 cdiv 10563 . . 3 class /
3 cz 11254 . . . 4 class
4 cn 10897 . . . 4 class
53, 4cxp 5036 . . 3 class (ℤ × ℕ)
62, 5cima 5041 . 2 class ( / “ (ℤ × ℕ))
71, 6wceq 1475 1 wff ℚ = ( / “ (ℤ × ℕ))
Colors of variables: wff setvar class
This definition is referenced by:  elq  11666
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