X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=blobdiff_plain;f=anticommit.tex;h=39d13e5500c4d268375480aa92a623615c8a0a71;hp=eab42047d6d7cb0163a5b134b3b8ce9bd75f336a;hb=28bb86cd8218c491ad4fe845c4547af57b1aecb4;hpb=8d37b843888b4da3d31f1a038fbc15729037e858 diff --git a/anticommit.tex b/anticommit.tex index eab4204..39d13e5 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 $R^-$, $D \not\isin R^-$. @@ -131,7 +131,7 @@ 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. $\isforeign{D}$. $D \neq C$. So by Desired Contents $D \isin C \equiv D \isin L$. By Foreign Inclusion of $D$ in $L$, $D \isin L \equiv D \le L$.