Item 1 (0078) — The Clowder Project

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

Powersets as Sets of Functions I. The assignment $U\mapsto \chi _{U}$ defines a bijection
\[ \chi _{\webleft (-\webright )} \colon \mathcal{P}\webleft (X\webright ) \xrightarrow {\cong }\mathsf{Sets}\webleft (X,\{ \mathsf{t},\mathsf{f}\} \webright ), \]

for each $X\in \text{Obj}\webleft (\mathsf{Sets}\webright )$.

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