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bologna121121
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Homework Statement
We are supposed to prove that the addition and multiplication of congruence classes for integers are associative, commutative, and distributive.
Homework Equations
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The Attempt at a Solution
To me, it seems like this would just be trivial as all these properties follow from the fact that we are working with integers, and integers are associative, commutative, and distributive (with both addition and multiplication). Am I on the right track here? Thanks.