From: Ian Jackson <ijackson@chiark.greenend.org.uk>
Date: Sat, 10 Aug 2013 19:18:11 +0000 (+0100)
Subject: merge: State C's inclusion in terms of stmtmergeof
X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=commitdiff_plain;h=4b4f48d2e3b22ed890902b7c80966291798d07c8

merge: State C's inclusion in terms of stmtmergeof
---

diff --git a/merge.tex b/merge.tex
index 63817ca..e622820 100644
--- a/merge.tex
+++ b/merge.tex
@@ -131,6 +131,14 @@ $\qed$
 
 \subsection{Coherence and Patch Inclusion}
 
+$C$ satisfies
+\gathbegin
+  C \haspatch \p \lor C \nothaspatch \p
+\gathnext
+C \haspatch \p \equiv
+  \stmtmergeof{L \haspatch \p}{M \haspatch \p}{R \haspatch \p}
+\end{gather}
+which (given Coherence of $L$,$M$,$R$) is equivalent to
 $$
 \begin{cases}
   L \nothaspatch \p \land R \nothaspatch \p : & C \nothaspatch \p  \\