simple commit fix P notation

[topbloke-formulae.git] / simple.tex

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 $D \in \py$
 
-\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:}