diff --git a/formalism/typed.tex b/formalism/typed.tex index bc1f869..7a87922 100644 --- a/formalism/typed.tex +++ b/formalism/typed.tex @@ -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} @@ -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} @@ -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} @@ -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} @@ -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} @@ -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} @@ -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}