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fix up some lemmas re ends
author
Ian Jackson
<ijackson@chiark.greenend.org.uk>
Sun, 11 Mar 2012 14:21:01 +0000
(14:21 +0000)
committer
Ian Jackson
<ijackson@chiark.greenend.org.uk>
Sun, 11 Mar 2012 14:21:01 +0000
(14:21 +0000)
article.tex
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diff --git
a/article.tex
b/article.tex
index 9a0cf07790e56d6f778ce8ff8ee244b546533fd7..b4f7beb8b8ea8ea6a82a3422bfaedd37cfeb853b 100644
(file)
--- a/
article.tex
+++ b/
article.tex
@@
-254,6
+254,7
@@
$ \bigforall_{C \in \py}\bigforall_{D \in \py}
( \mathop{\hbox{\huge{$\vee$}}}_{R \in \set R} D \le R )
\lor D = C
}\]
( \mathop{\hbox{\huge{$\vee$}}}_{R \in \set R} D \le R )
\lor D = C
}\]
+xxx proof tbd
\[ \eqn{Transitive Ancestors:}{
\left[ \bigforall_{ E \in \pendsof{C}{\set P} } E \le M \right] \equiv
\[ \eqn{Transitive Ancestors:}{
\left[ \bigforall_{ E \in \pendsof{C}{\set P} } E \le M \right] \equiv
@@
-272,17
+273,23
@@
in which case we repeat for $A'$. Since there are finitely many
commits, this terminates with $A'' \in \pends()$, ie $A'' \le M$
by the LHS. And $A \le A''$.
}
commits, this terminates with $A'' \in \pends()$, ie $A'' \le M$
by the LHS. And $A \le A''$.
}
+
\[ \eqn{Calculation Of Ends:}{
\bigforall_{C \hasparents \set A}
\pendsof{C}{\set P} =
\[ \eqn{Calculation Of Ends:}{
\bigforall_{C \hasparents \set A}
\pendsof{C}{\set P} =
+ \begin{cases}
+ C \in \p : & \{ C \}
+ \\
+ C \not\in \p : & \displaystyle
\left\{ E \Big|
\Bigl[ \Largeexists_{A \in \set A}
E \in \pendsof{A}{\set P} \Bigr] \land
\Bigl[ \Largenexists_{B \in \set A}
E \neq B \land E \le B \Bigr]
\right\}
\left\{ E \Big|
\Bigl[ \Largeexists_{A \in \set A}
E \in \pendsof{A}{\set P} \Bigr] \land
\Bigl[ \Largenexists_{B \in \set A}
E \neq B \land E \le B \Bigr]
\right\}
+ \end{cases}
}\]
}\]
-XXX proof TBD.
+xxx proof tbd
\subsection{No Replay for Merge Results}
\subsection{No Replay for Merge Results}