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+\begin{axiom}\label{phase7_concurrent_earlier_axiom}
+    For all $x$ we have $x = x$.
+\end{axiom}
+
+\begin{proposition}\label{phase7_concurrent_earlier_failure}
+    For all $x$ we have $x = x$.
+\end{proposition}
+\begin{proof}
+    Fix $x$.
+    Follows by assumption.
+\end{proof}