#!/usr/bin/php


\section*{Appendix}
\subsection*{Common Notions}
\begin{alltt}
equalitytransitive
   hypotheses: EQAC EQBC 
   conclusion: EQAB
congruencetransitive
   hypotheses: EEPQBC EEPQDE 
   conclusion: EEBCDE
equalityreflexive
   hypotheses: none
   conclusion: EQAA
congruencereflexive
   hypotheses: none
   conclusion: EEABAB
equalityreverse
   hypotheses: none
   conclusion: EEABBA
stability
   hypotheses: NONEAB 
   conclusion: EQAB
equalitysub
   hypotheses: EQDA BEABC 
   conclusion: BEDBC
\end{alltt}
\subsection*{Definitions}
\begin{alltt}
unequal  {\em A and B are distinct points}
   <br />
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