a. Prove that for all integers m and n, m n (mod 3) if, and only if, m mod 3 = n mod 3
Chapter 8, Problem 17(choose chapter or problem)
a. Prove that for all integers m and n, m \(\equiv\) 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 \(\equiv\) n (mod d) if, and only if, m mod d = n mod d.
Text Transcription:
equiv
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