Item 4 (0125) — The Clowder Project

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

The components
\[ \epsilon _{G}\colon \text{Lan}_{F}\webleft (G\circ F\webright )\Longrightarrow G \]

of the counit

\[ \epsilon \colon \text{Lan}_{F}\circ F^{*}\Longrightarrow \text{id}_{\mathsf{Fun}\webleft (\mathcal{D},\mathcal{X}\webright )} \]

of the adjunction $\text{Lan}_{F}\dashv F^{*}$ are all sections/split monomorphisms.

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