File:Monoidal-category-pentagon.png

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Pentagon coherence condition for a monoidal category.

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TeX source

\documentclass{article}
\usepackage{xy}
\xyoption{all}

\begin{document}
\thispagestyle{empty}
\[
\xymatrix@C=5em{
    ((A\otimes B)\otimes C)\otimes D\ar[d]_{\alpha_{A\otimes B,C,D}}\ar[r]^{\alpha_{A,B,C}\otimes D}&(A\otimes(B\otimes C))\otimes D\ar[r]^{\alpha_{A,B\otimes C,D}}&A\otimes((B\otimes C)\otimes D)\ar[d]^{A\otimes\alpha_{B,C,D}}\\
    (A\otimes B)\otimes(C\otimes D)\ar[rr]_{\alpha_{A,B,C\otimes D}}&&A\otimes(B\otimes (C\otimes D))
}
\]
\end{document}