From: Ian Jackson Date: Fri, 16 Mar 2012 23:46:59 +0000 (+0000) Subject: rename Tip Self Inpatch -> Tip Self Contents X-Git-Tag: f0.2~1 X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=commitdiff_plain;h=eb6afbbe29da33f29289cbbfbf358487380842bd rename Tip Self Inpatch -> Tip Self Contents --- diff --git a/anticommit.tex b/anticommit.tex index 37c40f0..47e0a9b 100644 --- a/anticommit.tex +++ b/anticommit.tex @@ -61,7 +61,7 @@ $D \not\isin R^-$. Thus $D \not\isin C$. OK. By Currently Included, $D \isin L$. -By Tip Self Inpatch for $R^+$, $D \isin R^+ \equiv D \le R^+$, but by +By Tip Self Contents for $R^+$, $D \isin R^+ \equiv D \le R^+$, but by by Unique Tip, $D \le R^+ \equiv D \le L$. So $D \isin R^+$. diff --git a/lemmas.tex b/lemmas.tex index 7d72e54..044e937 100644 --- a/lemmas.tex +++ b/lemmas.tex @@ -53,7 +53,7 @@ So by Base Acyclic $D \isin B \implies D \notin \py$. \end{cases} }\] -\subsection{Tip Self Inpatch} +\subsection{Tip Self Contents} Given Base Acyclic for $C$, $$ \bigforall_{C \in \py} C \haspatch \p \land \neg[ C \nothaspatch \p ] diff --git a/merge.tex b/merge.tex index d348670..6786dd0 100644 --- a/merge.tex +++ b/merge.tex @@ -117,7 +117,7 @@ This involves considering $D \in \py$. \subsubsection{For $L \nothaspatch \p, R \nothaspatch \p$:} $D \not\isin L \land D \not\isin R$. $C \not\in \py$ (otherwise $L -\in \py$ ie $\neg[ L \nothaspatch \p ]$ by Tip Self Inpatch for $L$). +\in \py$ ie $\neg[ L \nothaspatch \p ]$ by Tip Self Contents for $L$). So $D \neq C$. Applying $\merge$ gives $D \not\isin C$ i.e. $C \nothaspatch \p$. @@ -162,7 +162,7 @@ various cases that $D \isin C \equiv M \nothaspatch \p \land D \le C$ (which suffices by definition of $\haspatch$ and $\nothaspatch$). Consider $D = C$: Thus $C \in \py, L \in \py$. -By Tip Self Inpatch, $\neg[ L \nothaspatch \p ]$ so $L \neq X$, +By Tip Self Contents, $\neg[ L \nothaspatch \p ]$ so $L \neq X$, therefore we must have $L=Y$, $R=X$. By Tip Merge $M = \baseof{L}$ so $M \in \pn$ so by Base Acyclic $M \nothaspatch \p$. By $\merge$, $D \isin C$,