a. Prove that for all integers m and n, m = n (mod 3) if,

Chapter 8, Problem 17E

(choose chapter or problem)

Problem 17E

a. Prove that for all integers m and n, m = n (mod 3) if, and only if, m mod 3 = n mod 3.

b. Prove that for all integers m and n and any positive integer d, m = n (mod d) if, and only if, m mod d = nmodd.

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