Let n 2 be an integer. Show that both addition and multipli- cation are well-defined...

Transcribed Image Text:

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. 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.