From: Ian Jackson Date: Wed, 21 Mar 2012 18:22:59 +0000 (+0000) Subject: simple commit fix P notation X-Git-Tag: f0.3~28 X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=commitdiff_plain;h=54fc3c8f829bfae8dfba6b2178228d2e80036722;hp=5860d628a539a0cf1b5d2f540d715291261ec2c0;ds=sidebyside simple commit fix P notation --- diff --git a/simple.tex b/simple.tex index 28dc6e5..9b556ed 100644 --- a/simple.tex +++ b/simple.tex @@ -51,7 +51,7 @@ $\qed$ Need to consider $D \in \py$ -\subsubsection{For $L \haspatch P, D = C$:} +\subsubsection{For $L \haspatch \p, D = C$:} Ancestors of $C$: $ D \le C $. @@ -59,16 +59,16 @@ $ D \le C $. Contents of $C$: $ D \isin C \equiv \ldots \lor \true \text{ so } D \haspatch C $. -\subsubsection{For $L \haspatch P, D \neq C$:} +\subsubsection{For $L \haspatch \p, D \neq C$:} Ancestors: $ D \le C \equiv D \le L $. Contents: $ D \isin C \equiv D \isin L \lor f $ so $ D \isin C \equiv D \isin L $. So: -\[ L \haspatch P \implies C \haspatch P \] +\[ L \haspatch \p \implies C \haspatch \p \] -\subsubsection{For $L \nothaspatch P$:} +\subsubsection{For $L \nothaspatch \p$:} Firstly, $C \not\in \py$ since if it were, $L \in \py$. Thus $D \neq C$. @@ -76,7 +76,7 @@ Thus $D \neq C$. Now by contents of $L$, $D \notin L$, so $D \notin C$. So: -\[ L \nothaspatch P \implies C \nothaspatch P \] +\[ L \nothaspatch \p \implies C \nothaspatch \p \] $\qed$ \subsection{Foreign Inclusion:}