From: Ian Jackson Date: Sun, 11 Mar 2012 08:32:59 +0000 (+0000) Subject: wip merge tip contents X-Git-Tag: f0.2~115 X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=commitdiff_plain;h=2076cf10e9c6db9325923bb35006587fe6a519f4 wip merge tip contents --- diff --git a/article.tex b/article.tex index 2121fb4..72230e3 100644 --- a/article.tex +++ b/article.tex @@ -638,7 +638,7 @@ And $\patchof{C} = \patchof{L}$ so $L \in \py$ so $L \haspatch \p$. We will use the coherence and patch inclusion of $C$ as just proved. -Firstly we prove $C \haspatch \p$: If $R \in \py$, then $R \haspatch +Firstly we show $C \haspatch \p$: If $R \in \py$, then $R \haspatch \p$ and by coherence/inclusion $C \haspatch \p$ . If $R \not\in \py$ then by Tip Merge $M = \baseof{L}$ so by Base Acyclic and definition of $\nothaspatch$, $M \nothaspatch \p$. So by coherence/inclusion $C @@ -650,9 +650,14 @@ We will consider some $D$ and prove the Exclusive Tip Contents form. $C \haspatch \p$ so by definition of $\haspatch$, $D \isin C \equiv D \le C$. OK. -xxx up to here +\subsubsection{For $D \not\in \py, R \not\in \py$:} -\subsubsection{For $L \in \py, D \not\in \py, R \in \py$:} +$D \neq C$. By Tip Contents of $L$, +$D \isin L \equiv D \isin \baseof{L}$, and by Tip Merge condition, +$D \isin L \equiv D \isin M$. xxx up to here + + +\subsubsection{For $D \not\in \py, R \in \py$:} %D \in \py$:}