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4. Prove [5] a Z, b Z, c Z,(a|b a|c) a|(2b 3c) Note that x|y means that x divides y, or equivalently that there exists

4. Prove [5] a Z, b Z, c Z,(a|b a|c) a|(2b 3c) Note that x|y means that x divides y, or equivalently that there exists some n such that x n = y.

5. Prove [5] n Z, n is odd m Z, n2 = 8m + 1

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