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simple commit fix P notation
author
Ian Jackson
<ijackson@chiark.greenend.org.uk>
Wed, 21 Mar 2012 18:22:59 +0000
(18:22 +0000)
committer
Ian Jackson
<ijackson@chiark.greenend.org.uk>
Wed, 21 Mar 2012 18:22:59 +0000
(18:22 +0000)
simple.tex
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diff --git
a/simple.tex
b/simple.tex
index 28dc6e53bd5f15a9b14d27dc323d67340958df02..9b556ed0cd3cae33726e86812e423eb99ba4b5de 100644
(file)
--- a/
simple.tex
+++ b/
simple.tex
@@
-51,7
+51,7
@@
$\qed$
Need to consider $D \in \py$
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 $.
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 $.
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:
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 $D \neq C$.
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:
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:}
$\qed$
\subsection{Foreign Inclusion:}