Question: Let n 2 be an integer. Show that both addition and multipli- cation are well-defined modulo n, i.e. for any u, v, x, y

Let n 2 be an integer. Show that both addition and multipli- cation are well-defined modulo n, i.e. for any u, v, x, y Z such that u = x mod n and vy mod n, we have u +v=x+y mod n and uv = xy mod n.

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