Prove that if a and b are any positive integers such that a | b, then (x

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Prove that if a and b are any positive integers such that a | b, then (x mod b) mod a = x mod a for any x. Prove, under the same assumptions, that x = y (mod b) implies x = y (mod a) for any integers x and y.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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