pouya/coalgebraic-simulation
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partowp
2026-07-15 15:38:16 +01:00
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@@ -2314,7 +2314,7 @@ So, proven by Dubut, for every AM-simulation relation over a coalgebra $(X,\alph
\Rightarrow&\sigma(x_2,x_1)=\bot,\\ \Rightarrow&\sigma(x_2,x_1)=\bot,\\
\Rightarrow&p_1+1\comp\sigma(x_2,x_1)=\bot,\\ \Rightarrow&p_1+1\comp\sigma(x_2,x_1)=\bot,\\
\Rightarrow&\alpha(x_2)=\bot,&\eqref{eq:maybe-func-set-2}\\ \Rightarrow&\alpha(x_2)=\bot,&\eqref{eq:maybe-func-set-2}\\
\Rightarrow&\alpha(x_2)=p_1+1\comp\sigma(x_1,x_2)\bot. \Rightarrow&\alpha(x_2)=p_1+1\comp\sigma(x_1,x_2).
\end{align*} \end{align*}
\end{itemize}\qed \end{itemize}\qed
\end{proof} \end{proof}