wip merge complex

diff --git a/article.tex b/article.tex
index a0adacbdee9b8d02bb1f2421f8158b1a43b505b2..2f512f4c96e2215b002ae886742a107753823bb2 100644 (file)
--- a/article.tex
+++ b/article.tex
@@ -488,6 +488,13 @@ We will occasionally use $X,Y$ s.t. $\{X,Y\} = \{L,R\}$.
       \text{otherwise} : & \false
    \end{cases}
 }\]
+\[ \eqn{ Merge Ends }{
+    X \not\haspatch \p \land
+    Y \haspatch \p \land
+    E \in \pendsof{X}{\py}
+  \implies
+    E \le Y
+}\]
 
 \subsection{No Replay}
 
@@ -563,4 +570,10 @@ OK for $C \haspatch P$.
 
 So indeed $L \haspatch P \land R \haspatch P \implies C \haspatch P$.
 
+\subsubsection{For (wlog) $X \not\haspatch P, Y \haspatch P$:}
+
+$C \haspatch P \equiv C \nothaspatch M$.
+
+\proofstarts
+
 \end{document}