• Interaction With Binary Unions. The diagram

    commutes, i.e. we have

    \[ f_{*}\webleft (U\cup V\webright )=f_{*}\webleft (U\webright )\cup f_{*}\webleft (V\webright ) \]

    for each $U,V\in \mathcal{P}\webleft (X\webright )$.


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