clarify merge complex D=C

[topbloke-formulae.git] / lemmas.tex

diff --git a/lemmas.tex b/lemmas.tex
index 7d72e543db6d40a9e8e59d8b03989a2007500e08..efffe6bf425988e171a46bc54a4e02b707de32ed 100644 (file)
--- a/lemmas.tex
+++ b/lemmas.tex
@@ -53,10 +53,10 @@ So by Base Acyclic $D \isin B \implies D \notin \py$.
   \end{cases}
 }\]
 
-\subsection{Tip Self Inpatch}
+\subsection{Tip Own Contents}
 Given Base Acyclic for $C$,
 $$
-  \bigforall_{C \in \py} C \haspatch \p \land \neg[ C \nothaspatch \p ]
+  \bigforall_{C \in \py} C \haspatch \p
 $$
 Ie, tip commits contain their own patch.
 
@@ -64,8 +64,8 @@ Ie, tip commits contain their own patch.
 Apply Exclusive Tip Contents to some $D \in \py$:
 $ \bigforall_{C \in \py}\bigforall_{D \in \py}
   D \isin C \equiv D \le C $.
-Thus $C \haspatch \p$.  
-And, since $C \le C$, $C \isin C$.  Therefore $\neg[ C \nothaspatch \p ]$
+Thus $C \zhaspatch \p$.
+And we can set $F=C$ giving $F \in \py \land F \le C$, so $C \haspatch \p$.
 }
 
 \subsection{Exact Ancestors}