Let `n` be a positive integer. Prove that the relation R on the set Z of all integers numbers defined by `(x , y) in R iff x-y` is divisible by `n ,` is an equivalence relation on Z.

Explanation

Неге, `R=\{(x, y): x, y \in R` and (x-y) is divisible by `n\}`



For all a `\in` R,




`\Rightarrow`(a-a)=0 and 0 is divisible by n.




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