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Andreas Stadelmeier 2024-02-08 14:53:40 +01:00
parent 7bf8a3a2da
commit 1a3cf1c78e
1 changed files with 31 additions and 31 deletions
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62
unify.tex
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@ -253,37 +253,37 @@ $
\end{array} \quad \text{fv}(\type{U}, \type{L}) \subseteq \Delta_in
$
\\\\
\rulename{Equals} %TODO
& $
\begin{array}[c]{l}
\wildcardEnv \vdash C \cup \, \set{ \type{N} \doteq \type{N'} } \\
\hline
\vspace*{-0.4cm}\\
\wildcardEnv \vdash C \cup \,
\set{
\type{N} \lessdot \type{N'}, \type{N'} \lessdot \type{N}
}
\end{array} % \quad \text{fv}(\type{N}) = \text{fv}(\type{N'}) = \emptyset
$
\\\\
% \rulename{Equals} %TODO
% & $
% \begin{array}[c]{l}
% \wildcardEnv \vdash C \cup \, \set{ \wctype{\Delta}{C}{\ol{T}} \doteq \wctype{\Delta}{C}{\ol{T'}} } \\
% \hline
% \vspace*{-0.4cm}\\
% \wildcardEnv \vdash C \cup \,
% \set{
% % \pi(\ol{T}) \doteq \pi(\ol{T'} )
% \ol{T} \doteq \ol{T'}
% }
% \end{array}
% \quad \begin{array}{l}
% \text{given a permutation}\ \pi\ \text{with:}\\
% \pi(\Delta) = \pi(\Delta')
% \end{array}
% $
% \\\\
% \rulename{Equals} %TODO
% & $
% \begin{array}[c]{l}
% \wildcardEnv \vdash C \cup \, \set{ \type{N} \doteq \type{N'} } \\
% \hline
% \vspace*{-0.4cm}\\
% \wildcardEnv \vdash C \cup \,
% \set{
% \type{N} \lessdot \type{N'}, \type{N'} \lessdot \type{N}
% }
% \end{array} % \quad \text{fv}(\type{N}) = \text{fv}(\type{N'}) = \emptyset
% $
% \\\\
\rulename{Equals} %TODO
& $
\begin{array}[c]{l}
\wildcardEnv \vdash C \cup \, \set{ \wctype{\Delta}{C}{\ol{T}} \doteq \wctype{\Delta}{C}{\ol{T'}} } \\
\hline
\vspace*{-0.4cm}\\
\wildcardEnv \vdash C \cup \,
\set{
\pi(\ol{T}) \doteq \pi(\ol{T'} )
%\ol{T} \doteq \ol{T'}
}
\end{array}
\quad \begin{array}{l}
\text{given a permutation}\ \pi\ \text{with:}\\
\pi(\Delta) = \pi(\Delta')
\end{array}
$
\\\\
\rulename{Erase}
& $
\begin{array}[c]{l}