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Fix rendering of type erasure lemma

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Daniel Hillerström 5 years ago
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  1. 6
      thesis.tex

6
thesis.tex

@ -20017,8 +20017,8 @@ Appendix A of \citet{HillerstromLA20}.\medskip
\end{proof} \end{proof}
% type erasure lemma % type erasure lemma
\begin{lemma}[Type erasure]
\label{lem:erasure-proof}
\begin{lemma}[Type erasure]\label{lem:erasure-proof}
~
\begin{enumerate} \begin{enumerate}
\item $\cps{M} \sapp \sW = \cps{M[T/\alpha]} \sapp \sW$ \item $\cps{M} \sapp \sW = \cps{M[T/\alpha]} \sapp \sW$
\item $\cps{W} = \cps{W[T/\alpha]}$ \item $\cps{W} = \cps{W[T/\alpha]}$
@ -20527,7 +20527,7 @@ dynamic language, as described above.
\qquad \dapp \dRecord{} \dapp (\dRecord{\reify \sV_{fs}, \dRecord{\reify \sV_{ret}, \reify \sV_{ops}}} \dcons \reify \sW)\el \\ \qquad \dapp \dRecord{} \dapp (\dRecord{\reify \sV_{fs}, \dRecord{\reify \sV_{ret}, \reify \sV_{ops}}} \dcons \reify \sW)\el \\
\reducesto^+& \reason{dynamic $\beta$-reduction and pattern matching, and structure of continuations}\\ \reducesto^+& \reason{dynamic $\beta$-reduction and pattern matching, and structure of continuations}\\
& \cps{M} \sapp (\sRecord{\sV_{fs}, \sRecord{\sV_{ret}, \sV_{ops}}} \scons \reflect \reify \sW) \\ & \cps{M} \sapp (\sRecord{\sV_{fs}, \sRecord{\sV_{ret}, \sV_{ops}}} \scons \reflect \reify \sW) \\
=& \reason{Lemma~\ref{lem:erasure-proof} (Type Erasure)} \\
=& \reason{Lemma~\ref{lem:erasure-proof} (Type erasure)} \\
& \cps{M[T/\alpha]} \sapp (\sRecord{\sV_{fs}, \sRecord{\sV_{ret}, \sV_{ops}}} \scons \reflect \reify \sW) \\ & \cps{M[T/\alpha]} \sapp (\sRecord{\sV_{fs}, \sRecord{\sV_{ret}, \sV_{ops}}} \scons \reflect \reify \sW) \\
=& \reason{Lemma~\ref{lem:reflect-after-reify-proof} (reflect after reify)} \\ =& \reason{Lemma~\ref{lem:reflect-after-reify-proof} (reflect after reify)} \\
& \cps{M[T/\alpha]} \sapp (\sRecord{\sV_{fs}, \sRecord{\sV_{ret}, \sV_{ops}}} \scons \sW) \\ & \cps{M[T/\alpha]} \sapp (\sRecord{\sV_{fs}, \sRecord{\sV_{ret}, \sV_{ops}}} \scons \sW) \\

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