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% Dummy abbreviation to test relation symbols with parameters.
\begin{abbreviation}\label{abbr_equal}
$x\EQUAL{y} z$ iff $x = z$.
\end{abbreviation}
\begin{proposition}\label{dummy_abbr_test}
For all $x$ we have $x\EQUAL{y}x$.
\end{proposition}
% Dummy definition to test relation symbols with parameters.
\begin{abbreviation}\label{defn_equals}
$x\EQUALS{y}{w} z$ iff $x = z$.
\end{abbreviation}
\begin{proposition}\label{dummy_defn_test}
For all $x$ we have $x\EQUALS{y}{w}x$.
\end{proposition}
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