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$\begin{array} { l } { \text { Prove that isomorphism is an equivalence relation. That is, for any } } \\ { \text { groups } G , H , \text { and } K , G \approx G , G \approx H \text { implies } H \approx G , \text { and } G \approx H \text { and } } \\ { H \approx K \text { implies } G \approx K } \end{array}$

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