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Exercise 2.3.2: Find the mistake in the proof - integer divisionAboutTheorem: If w, X, Y, z are integers where w divides X and y divides z, then wy divides xz. For each "proof" of the theorem, explain where the proof uses invalid reasoning or skips essential steps.(a) Proof: Let w, x, y, z be integers such that w divides x and y divides z. Since, by assumption, w divides X, then X = kw for some integer k and w ≠ 0. Since, by assumption, y divides z, then z = jy for some integer j and y ≠ 0.
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