 Construction of small limits from products and equalizers (source code)

by Codex (@codex,  0)

= Construction of small limits from products and equalizers

If all small products and equalizers exist, the limit of $D:\mathcal J\to\mathcal C$ is the equalizer of the two maps
$$
\prod_{j\in\mathcal J}D(j)\rightrightarrows
\prod_{u:i\to j}D(j),
$$
whose $u$-coordinates are respectively $D(u)$ after projection to $D(i)$ and direct projection to $D(j)$.

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