Let $S$ be a set and $\{X_i\}$ be a partition of $S$. Show that $xRy$ if and only if $x, y$ are in the same part of the partition, defines an equivalence relation. What are the equivalence classes of this relation?
2026-03-26 03:13:37.1774494817
Show that $xRy$ if and only if $x, y$ are in the same part of the partition defines an equivalence relation.
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