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Jeffrey Kegler Jeffrey Kegler
Jeffrey Kegler authored and Jeffrey Kegler committed Feb 21, 2014
1 parent 8072c58 commit d1a14b81f29b84b4dab12e4599512bfb1905e3e8
Showing with 13 additions and 8 deletions.
  1. +13 −8 recce.ltx
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@@ -732,14 +732,11 @@ if and only if we have both
\begin{lemma}
\label{l:eim-correctness-is-transitive}
-Let \Vdr{predecessor} be the dotted rule
-\begin{equation}
-\textup{ $[\Vsym{lhs} \de \Vsf{before} \mydot \Vsym{transition} \cat \Vsf{after}]$ }
-\end{equation}
-and \Vdr{successor} be its successor
-\begin{equation}
-\textup{ $[\Vsym{lhs} \de \Vsf{before} \cat \Vsym{transition} \mydot \Vsf{after}]$ }
-\end{equation}
+Let \textup{\Vdr{predecessor}} be a dotted rule,
+let \textup{\Vdr{successor}} be its successor,
+and let \textup{\Vsym{transition}} be the postdot symbol in
+\textup{\Vdr{predecessor}} and the predot symbol in
+\textup{\Vdr{successor}}.
If the EIM
\begin{equation}
\label{e:eim-reduction-1}
@@ -765,6 +762,14 @@ then the EIM
\end{lemma}
\begin{proof}
+Let \Vdr{predecessor} be the dotted rule
+\begin{equation}
+\textup{ $[\Vsym{lhs} \de \Vsf{before} \mydot \Vsym{transition} \cat \Vsf{after}].$ }
+\end{equation}
+\Vdr{successor} is therefore
+\begin{equation}
+\textup{ $[\Vsym{lhs} \de \Vsf{before} \cat \Vsym{transition} \mydot \Vsf{after}].$ }
+\end{equation}
From assumption \eqref{e:eim-reduction-1}, we know that
\begin{equation}
\label{e:eim-reduction-4}

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