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formalism: Fix marked analysis judgment in typed hazelnut metatheorem…
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mirryi committed Oct 10, 2023
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Showing 1 changed file with 7 additions and 7 deletions.
14 changes: 7 additions & 7 deletions formalism/typed.tex
Original file line number Diff line number Diff line change
Expand Up @@ -1307,7 +1307,7 @@ \subsection{Metatheorems}
$\ASEAction{\ctx}{\ZCMV}{\TMV}{\ZCMV'}{\TMV'}{\AMV}$, then $\zWellFormed{\ZCMV'}$ and
$\ctxSynTypeM{\ctx}{\cursorErase{\ZCMV'}}{\TMV'}$.

\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaType{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaTypeM{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
$\AAEAction{\ctx}{\ZCMV}{\ZCMV'}{\TMV}{\AMV}$, then $\zWellFormed{\ZCMV'}$ and
$\ctxAnaType{\ctx}{\cursorErase{\ZCMV'}}{\TMV}$.
\end{enumerate}
Expand All @@ -1322,7 +1322,7 @@ \subsection{Metatheorems}
$\ASEAction{\ctx}{\ZCMV}{\TMV}{\ZCMV'}{\TMV'}{\AMove{\MMV}}$, then $\zWellFormed{\ZCMV'}$ and
$\cursorErase{\ZCMV} = \cursorErase{\ZCMV'}$ and $\equal{\TMV}{\TMV'}$.

\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaType{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaTypeM{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
$\AAEAction{\ctx}{\ZCMV}{\ZCMV'}{\TMV}{\AMove{\MMV}}$, then $\zWellFormed{\ZCMV'}$ and
$\cursorErase{\ZCMV} = \cursorErase{\ZCMV'}$.
\end{enumerate}
Expand All @@ -1339,7 +1339,7 @@ \subsection{Metatheorems}
$\ASEActionIter{\ctx}{\ZCMV}{\TMV}{\ZCMV'}{\TMV}{\AIMV}$.

\item If $\zWellFormed{\ZCMV}$ and $\zWellFormed{\ZCMV'}$ and
$\ctxAnaType{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and $\cursorErase{\ZCMV} = \cursorErase{\ZCMV'}$,
$\ctxAnaTypeM{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and $\cursorErase{\ZCMV} = \cursorErase{\ZCMV'}$,
then there exists $\AIMV$ such that $\movements{\AIMV}$ and
$\AAEActionIter{\ctx}{\ZCMV}{\ZCMV'}{\TMV}{\AIMV}$.
\end{enumerate}
Expand All @@ -1354,7 +1354,7 @@ \subsection{Metatheorems}
$\cursorErase{\ZCMV} = \ECMV$, then there exists $\AIMV$ such that $\movements{\AIMV}$ and
$\ASEActionIter{\ctx}{\ZCMV}{\TMV}{\ZCCursor{\ECMV}}{\TMV}{\AIMV}$.

\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaType{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaTypeM{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
$\cursorErase{\ZCMV} = \ECMV$, then there exists $\AIMV$ such that $\movements{\AIMV}$ and
$\AAEActionIter{\ctx}{\ZCMV}{\ZCCursor{\ECMV}}{\TMV}{\AIMV}$.
\end{enumerate}
Expand All @@ -1369,7 +1369,7 @@ \subsection{Metatheorems}
$\cursorErase{\ZCMV} = \ECMV$, then there exists $\AIMV$ such that $\movements{\AIMV}$ and
$\ASEActionIter{\ctx}{\ZCCursor{\ECMV}}{\TMV}{\ZCMV}{\TMV}{\AIMV}$.

\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaType{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaTypeM{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
$\cursorErase{\ZCMV} = \ECMV$, then there exists $\AIMV$ such that $\movements{\AIMV}$ and
$\AAEActionIter{\ctx}{\ZCCursor{\ECMV}}{\ZCMV}{\TMV}{\AIMV}$.
\end{enumerate}
Expand All @@ -1383,7 +1383,7 @@ \subsection{Metatheorems}
\item If $\ctxSynTypeM{\ctx}{\ECMV}{\TMV}$, then there exists $\AIMV$ such that
$\ASEActionIter{\ctx}{\ZCCursor{\EEHole}}{\TUnknown}{\ZCCursor{\ECMV}}{\TMV}{\AIMV}$.

\item If $\ctxAnaType{\ctx}{\ECMV}{\TMV}$, then there exists $\AIMV$ such that
\item If $\ctxAnaTypeM{\ctx}{\ECMV}{\TMV}$, then there exists $\AIMV$ such that
$\AAEActionIter{\ctx}{\ZCCursor{\EEHole}}{\ZCCursor{\ECMV}}{\TMV}{\AIMV}$.
\end{enumerate}
\end{theorem}
Expand All @@ -1398,7 +1398,7 @@ \subsection{Metatheorems}
$\ASEActionIter{\ctx}{\ZCMV}{\TMV}{\ZCMV''}{\TMV''}{\AMV}$, then $\ZCMV' = \ZCMV''$ and
$\equal{\TMV'}{\TMV''}$.

\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaType{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
\item If $\zWellFormed{\ZCMV}$ and $\ctxAnaTypeM{\ctx}{\cursorErase{\ZCMV}}{\TMV}$ and
$\AAEActionIter{\ctx}{\ZCMV}{\ZCMV'}{\TMV}{\AMV}$ and
$\AAEActionIter{\ctx}{\ZCMV}{\ZCMV''}{\TMV}{\AMV}$, then $\ZCMV' = \ZCMV''$.
\end{enumerate}
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