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In the following two problems, the equivalence classes refer to the equivalence classes under the equivalence...

In the following two problems, the equivalence classes refer to the equivalence classes under the equivalence relation:

aRb iff n|(a-b) where n is a fixed integer. Suppose a, b, c, d are elements of the integers such that [a] = [b] and [c] = [d].

1. Prove [a+d] = [b+c].

2. Prove [ac] = [bd]

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