• Functionality II. The assignment $f\mapsto f_{*}$ defines a function
    \[ \webleft (-\webright )_{*|A,B}\colon \mathsf{Sets}\webleft (A,B\webright ) \to \mathsf{Pos}\webleft (\webleft (\mathcal{P}\webleft (A\webright ),\subset \webright ),\webleft (\mathcal{P}\webleft (B\webright ),\subset \webright )\webright ). \]

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