Item 4 (006D) — The Clowder Project

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Interaction With Intersections I. We have
\[ \chi _{U\cap V}=\chi _{U}\chi _{V} \]

for each $X\in \text{Obj}\webleft (\mathsf{Sets}\webright )$ and each $U,V\in \mathcal{P}\webleft (X\webright )$.

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