• Associativity. We have an equality of sets
    \[ \webleft (U\cap V\webright )\cap W=U\cap \webleft (V\cap W\webright ) \]

    for each $X\in \text{Obj}\webleft (\mathsf{Sets}\webright )$ and each $U,V,W\in \mathcal{P}\webleft (X\webright )$.


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