• Interaction With Internal Homs. We have
    \[ \chi _{\webleft [U,V\webright ]_{\mathcal{P}\webleft (X\webright )}}=\operatorname*{\text{max}}\webleft (1-\chi _{U}\ (\mathrm{mod}\ 2),\chi _{V}\webright ) \]

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


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