• Interaction With Products. Let $f\colon A\to A'$ and $g\colon B\to B'$ be maps of sets. We have
    \[ \webleft (f\times g\webright )_{!}\webleft (U\times V\webright )=f_{!}\webleft (U\webright )\times g_{!}\webleft (V\webright ) \]

    for each $U\in \mathcal{P}\webleft (A\webright )$ and each $V\in \mathcal{P}\webleft (B\webright )$.


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