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Let B = {0, 1} and consider the function f : IN > B given by 1 if n > 0, ) _ { 0

Let B = {0, 1} and consider the function f : IN > B given by 1 if n > 0, ") _ { 0 otherwise. (a) Show that for all a, b E N: (i) f (a + b) = max{f (a),f (17)} (ii) f (ab) = min{f(a),f(b)} (6 marks)

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