The Stacks project
\begin{equation} \label{simplicial-equation-composition} V \xrightarrow {\eta \star 1_ V} V \circ U \circ V \xrightarrow {1_ V \star d} V \quad \text{and}\quad U \xrightarrow {1_ U \star \eta } U \circ V \circ U \xrightarrow {d \star 1_ U} U \end{equation}

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