Question: Let B = {0, 1} and consider the function f : N - B given by 1 if n > 0, f (n) 0 otherwise.

Let B = {0, 1} and consider the function f : N - B given by 1 if n > 0, f (n) 0 otherwise. (a) Show that for all a, be N: (i) f(a + b) = max{f(a), f(b) } (ii) f(ab) = min{f(a), f(b)}

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