X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?a=blobdiff_plain;f=trav-proofs.tex;h=3c2a1754cd8991bcc8cd1c4877812297cc9cdbd4;hb=d29c556b0ebedf4081684216f426b83ee9f04573;hp=a9ed5cd30a428f45ec78706534ce86b77ceeb425;hpb=45660137914fb1a7e7efe44ef84305add6468c05;p=topbloke-formulae.git

diff --git a/trav-proofs.tex b/trav-proofs.tex
index a9ed5cd..3c2a175 100644
--- a/trav-proofs.tex
+++ b/trav-proofs.tex
@@ -5,6 +5,19 @@ that the commit generation preconditions are met.
 
 WIP WHAT ABOUT PROVING ALL THE TRAVERSAL RESULTS
 
+\subsection{Traversal Lemmas}
+
+Firstly, some lemmas.
+
+\statement{Tip Correct Contents}{
+  \tipcy \haspatch \pd
+    \equiv
+  \pc = \pd \lor \pc \hasdep \pd
+}
+\proof{
+   WIP
+}
+
 \subsection{Base Dependency Merge, Base Sibling Merge}
 
 We do not prove that the preconditions are met.  Instead, we check
@@ -17,7 +30,9 @@ WIP WHAT ABOUT PROVING ALL THE TRAVERSAL RESULTS
 
 \subsection{Recreate Base Beginning}
 
+\subsubsection{Create Acyclic}
 
+$L = \tipdy$ so
 
 \subsection{Tip Base Merge}