Let $S$ be a set and $P(S)$ the power set of $S$. For sets $A,B⊆P(S)$, we say that $A \sim B$ if there exists a bijective function $f: A \rightarrow B$. Show that $\sim $ is an equivalence relation.
2026-03-29 10:12:13.1774779133
Power Set, Bijection Function, Equivalence Relation
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