Item 2 (00T9) — The Clowder Project

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Functionality II. The assignment $R\mapsto R_{!}$ defines a function
\[ \webleft (-\webright )_{!}\colon \mathsf{Sets}\webleft (A,B\webright ) \to \textup{Hom}_{\mathsf{Pos}}\webleft (\webleft (\mathcal{P}\webleft (A\webright ),\subset \webright ),\webleft (\mathcal{P}\webleft (B\webright ),\subset \webright )\webright ). \]

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