• Functionality I. The assignment $R\mapsto R^{-1}$ defines a function
    \[ \webleft (-\webright )^{-1}\colon \mathrm{Rel}\webleft (A,B\webright ) \to \mathsf{Sets}\webleft (\mathcal{P}\webleft (A\webright ),\mathcal{P}\webleft (B\webright )\webright ). \]

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