Define a function g: Z+ × Z+ ? Z+ by the formula g(m, n) =

Chapter 7, Problem 22E

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Problem 22E

Define a function g: Z+ × Z+ → Z+ by the formula g(m, n) = 2m3n for all (m, n)∈ Z+ × Z+. Show that g is one-to-one and use this result to prove that Z+ × Z+ is countable.

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