Question: H08: Hand-in problems 1. Let f : X - Y and g : Y - X be maps between sets. Suppose that g . f

H08: Hand-in problems 1. Let f : X - Y and g : Y - X be maps between sets. Suppose that g . f is equal to the identity map idx : X - X. Does it follow that f . g is equal to the identity map idy : Y - Y? Give a proof or a counterexample

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