strategy: wip ends reachability

[topbloke-formulae.git] / trav-proofs.tex

diff --git a/trav-proofs.tex b/trav-proofs.tex
index f1993d31191fa6ec9798dc9a00bca0903540cc98..06a54cfb0521161bd329823d9d685a877c52e30b 100644 (file)
--- a/trav-proofs.tex
+++ b/trav-proofs.tex
@@ -32,9 +32,28 @@ WIP WHAT ABOUT PROVING ALL THE TRAVERSAL RESULTS
 
 \subsection{Recreate Base Beginning}
 
+To recap we are executing Create Base with
+$L = \tipdy$ and $\pq = \pc$.
+
 \subsubsection{Create Acyclic}
 
-$L = \tipdy$ so
+By Tip Correct Contents of $L$,
+$L \haspatch \pa E \equiv \pa E = \pd \lor \pa E \isdep \pd$.
+Now $\pd \isdirdep \pc$,
+so by Coherence, and setting $\pa E = \pc$,
+$L \nothaspatch \pc$. I.e. $L \nothaspatch \pq$. OK.
+
+That's everything for Create Base.  $\qed$
+
+\subsection{Recreate Base Final Declaration}
+
+\subsubsection{Base Only} $\patchof{W} = \patchof{L} = \pn$.  OK.
+
+\subsubsection{Unique Tips}
+
+Want to prove that for any $\p \isin C$, $\tipdy$ is a suitable $T$.
+
+WIP
 
 \subsection{Tip Base Merge}