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I just updated by TeXShop using TeX Live utility yesterday, but I still get this error. All I am doing is the standard routine

0 \arrow[hookrightarrow]{r}   
  & A\arrow[hookrightarrow]{r}{\varphi}\arrow[hookrightarrow]{d}{\eta_1}   
  & B\arrow{r}{\psi}\arrow{d}{\eta_2}   
  & C\arrow{r}\arrow{d}{\eta_3}   
  & 0 \\  
0 \arrow[hookrightarrow]{r}   
  & A'\arrow[hookrightarrow]{r}[swap]{\varphi'}   
  & B'\arrow{r}[swap]{\psi'}   
  & C'\arrow{r}  
  & 0   

but get this error and just cannot render.

enter image description here

I also specifically updated tikz-cd package so I don't know why it still doesn't work.

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Do a full update with TeX Live Utility; in particular, update the pgf package. – egreg Mar 4 '14 at 16:11
Please make your code compilable (if possible), or at least complete it with \documentclass{...}, the required \usepackage's, \begin{document}, and \end{document}. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem. – Adam Liter Mar 4 '14 at 16:24
up vote 3 down vote accepted

Judging by the console message, it seems that this new version of tikz-cd requires pgf v. 3.0, and it appears you still have version 2.10 installed. Maybe you should update the whole pgf package to version 3.0 and see what happens.

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You need to install pgf 3.0, which is available on CTAN since some days. The quotes library belongs to it.

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