Problem

Let a, b, s, and t be integers. If a mod st = b mod st, show that a mod s = b mod s and...

Let a, b, s, and t be integers. If a mod st = b mod st, show that a mod s = b mod s and a mod t = b mod t. What condition on s and t is needed to make the converse true? (This exercise is referred to in Chapter 8.)

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