• Distributivity Over Intersections. We have isomorphisms of sets
    \begin{align*} A\times \webleft (B\cap C\webright ) & = \webleft (A\times B\webright )\cap \webleft (A\times C\webright ),\\ \webleft (A\cap B\webright )\times C & = \webleft (A\times C\webright )\cap \webleft (B\times C\webright ). \end{align*}

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