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Commutative diagram for products.

This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.

TeX source

\begin{diagram}
& & X  \\
& \ruTo^{\makebox[10pt]{$f$}} & \dTo>{p_i}  \\
Y & \rTo_{f_i} & X_i \\
\end{diagram}