Item 2 (007X) — The Clowder Project

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*To be replaced with Linus Romer's Elemaints when it is released.

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

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