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Let Z be the set of all integers and Z0 ...

Let `Z` be the set of all integers and `Z_0` be the set of all non-zero integers. Let a relation `R` on `ZxxZ_0` be defined as follows: `(a ,\ b)\ R\ (c ,\ d)hArra d=b c` for all `(a ,\ b),\ (c ,\ d) in ZxxZ_0` Prove that `R` is an equivalence relation on `ZxxZ_0`

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