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Prove the following result. PLEASE EXPLAIN reasoning so I can understand how to do it on...

Prove the following result. PLEASE EXPLAIN reasoning so I can understand how to do it on my own.

Let x and y be integers. Then x ≡ y (mod m) and x ≡ y (mod n) if and only if x ≡ y (mod L), where L = lcm[m, n]. Then expand to any finite number of moduli

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