extend Self Tip Inpatch

[topbloke-formulae.git] / lemmas.tex

diff --git a/lemmas.tex b/lemmas.tex
index 577f5135c408bf081ccea472f6e02fa9779cd6a2..aeb656479c497363460d14de95af921d326ccd58 100644 (file)
--- a/lemmas.tex
+++ b/lemmas.tex
@@ -56,14 +56,16 @@ So by Base Acyclic $D \isin B \implies D \notin \py$.
 \subsection{Tip Self Inpatch}
 Given Exclusive Tip Contents and Base Acyclic for $C$,
 $$
-  \bigforall_{C \in \py} C \haspatch \p
+  \bigforall_{C \in \py} C \haspatch \p \land \neg[ C \nothaspatch \p ]
 $$
 Ie, tip commits contain their own patch.
 
 \proof{
 Apply Exclusive Tip Contents to some $D \in \py$:
 $ \bigforall_{C \in \py}\bigforall_{D \in \py}
-  D \isin C \equiv D \le C $
+  D \isin C \equiv D \le C $.
+Thus $C \haspatch \p$.  
+And, since $C \le C$, $C \isin C$.  Therefore $\neg[ C \nothaspatch \p ]$
 }
 
 \subsection{Exact Ancestors}