Item 1 (00B4) — The Clowder Project

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

Functoriality. The assignment $\webleft\{ \webleft (X_{i},x^{i}_{0}\webright )\webright\} _{i\in I}\mapsto \webleft (\bigvee _{i\in I}X_{i},p_{0}\webright )$ defines a functor
\[ \bigvee _{i\in I}\colon \mathsf{Fun}\webleft (I_{\mathsf{disc}},\mathsf{Sets}_{*}\webright )\to \mathsf{Sets}_{*}. \]

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