The answer to exercises marked [BB] can be found in the Back of the Book.
(a) Suppose ƒ: N → Z is a one-to-one onto function.
Prove that the function g: N × N→ N × Z defined by g(m, n) = (m, f (n))isone to-one and onto.
(b) Find a one-to-one correspondence between N × N and N × Z.
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