Image:Strong monad assoc.png

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[edit] Summary

Coherence law of associativity for strong monads.

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible, I grant any entity the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

[edit] TeX source

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

\begin{document}
\thispagestyle{empty}
\[
\xymatrix{
  (A\otimes B)\otimes TC\ar[d]_{\alpha_{A,B,TC}}\ar[rr]^{t_{A\otimes B,C}}&&T((A\otimes B)\otimes C)\ar[d]^{T(\alpha_{A,B,C})}\\
  A\otimes(B\otimes TC)\ar[r]_{A\otimes t_{B,C}}&A\otimes T(B\otimes C)\ar[r]_{t_{A,B\otimes C}}&T(A\otimes(B\otimes C))
}
\]
\end{document}

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