wip exclusive haspatch - better symbol

[topbloke-formulae.git] / lemmas.tex

diff --git a/lemmas.tex b/lemmas.tex
index 577f5135c408bf081ccea472f6e02fa9779cd6a2..44dd26039c6e7a5400102c6d9d26dead824d2989 100644 (file)
--- a/lemmas.tex
+++ b/lemmas.tex
@@ -53,17 +53,19 @@ So by Base Acyclic $D \isin B \implies D \notin \py$.
   \end{cases}
 }\]
 
-\subsection{Tip Self Inpatch}
-Given Exclusive Tip Contents and Base Acyclic for $C$,
+\subsection{Tip Own Contents}
+Given 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}
@@ -124,6 +126,7 @@ Otherwise, $E$ meets all the conditions for $\pends$.
 }
 
 \subsection{Ingredients Prevent Replay}
+Given conformant commits $A \in \set A$,
 $$
   \left[
     {C \hasparents \set A} \land
@@ -140,12 +143,13 @@ $$
 $$
 \proof{
   Trivial for $D = C$.  Consider some $D \neq C$, $D \isin C$.
-  By the preconditions, there is some $A$ s.t. $D \in \set A$
+  By the preconditions, there is some $A$ s.t. $A \in \set A$
   and $D \isin A$.  By No Replay for $A$, $D \le A$.  And
   $A \le C$ so $D \le C$.
 }
 
 \subsection{Simple Foreign Inclusion}
+Given a conformant commit $L$,
 $$
   \left[
     C \hasparents \{ L \}
@@ -167,6 +171,7 @@ So $D \isin C \equiv D \le C$.
 }
 
 \subsection{Totally Foreign Contents}
+Given conformant commits $A \in \set A$,
 $$
    \left[
     C \hasparents \set A \land