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+\begin{proposition}\label{assumetest}
+ If $x\in y$, then $x\in y$.
+\end{proposition}
+\begin{proof}
+ Assume $x\in y$.
+ Then $x\in y$.
+\end{proof}
+
+\begin{proposition}\label{assumetesttwo}
+ If $x\in y$ and $a\in b$, then $x\in y$.
+\end{proposition}
+\begin{proof}
+ Assume $a\in b$.
+ Assume $x\in y$.
+ Then $x\in y$.
+\end{proof}