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    Algebraic Properties 8b

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    Given the algebra <S;f,g,a>, where f and g are unary operations and a is a constant of S, suppose that f(f(x)) = g(x) and g(g(x)) = x for all x &#949; S.
    Show that f(f(f(f(x)))) = x for all x &#949; S.

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