X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=blobdiff_plain;f=anticommit.tex;h=72469b80d69fa67aa410381faf5768262d15964e;hp=cf93fd2998cc593323055552dc92db7c4c11d8e4;hb=fd4fcf610bbe38767f7aba836c233bdc46e513e3;hpb=aa0c5270afbe605a468317fdf9d9e5e649c716e0 diff --git a/anticommit.tex b/anticommit.tex index cf93fd2..72469b8 100644 --- a/anticommit.tex +++ b/anticommit.tex @@ -19,7 +19,7 @@ R^+ \in \pry \land R^- = \baseof{R^+} $\eqn{ Into Base }{ L \in \pln }$ -$\eqn{ Unique Tip }{ +\[ \eqn{ Correct Tip }{ \pendsof{L}{\pry} = \{ R^+ \} }$ \[ \eqn{ Currently Included }{ @@ -28,7 +28,7 @@ R^+ \in \pry \land R^- = \baseof{R^+} \subsection{Ordering of Ingredients:} -By Unique Tip, $R^+ \le L$. By definition of $\base$, $R^- \le R^+$ +By Correct Tip, $R^+ \le L$. By definition of $\base$, $R^- \le R^+$ so $R^- \le L$. So $R^+ \le C$ and $R^- \le C$. $\qed$ @@ -62,7 +62,7 @@ $D \not\isin R^-$. Thus $D \not\isin C$. OK. By Currently Included, $D \isin L$. By Tip Own Contents for $R^+$, $D \isin R^+ \equiv D \le R^+$, but -by Unique Tip, $D \le R^+ \equiv D \le L$. +by Correct Tip, $D \le R^+ \equiv D \le L$. So $D \isin R^+$. By Base Acyclic for $R^-$, $D \not\isin R^-$. @@ -125,9 +125,13 @@ OK. $\qed$ +\subsection{Unique Tips:} + +Single Parent Unique Tips applies. $\qed$ + \subsection{Foreign Inclusion} -Consider some $D$ s.t. $\patchof{D} = \bot$. $D \neq C$. +Consider some $D$ s.t. $\patchof{D} = \foreign$. $D \neq C$. So by Desired Contents $D \isin C \equiv D \isin L$. By Foreign Inclusion of $D$ in $L$, $D \isin L \equiv D \le L$.