rename merge Ordering of L... to Ordering of Ingredients

[topbloke-formulae.git] / article.tex

diff --git a/article.tex b/article.tex
index 9286d604f594c43e9da561d475808d59651d941b..73453122e8a9dd7bf549c2df7a6f26edb44a85c5 100644 (file)
--- a/article.tex
+++ b/article.tex
@@ -498,11 +498,11 @@ Thus $D \le B$.
 
 \subsection{Unique Base}
 
-Not applicable. $\qed$
+Not applicable.
 
 \subsection{Tip Contents}
 
-Not applicable. $\qed$
+Not applicable.
 
 \subsection{Base Acyclic}
 
@@ -527,8 +527,13 @@ $\qed$.
 
 Consider some $D$ s.t. $\patchof{D} = \bot$.  $D \neq B$
 so $D \isin B \equiv D \isin L$.
+By Foreign Inclusion of $D$ in $L$, $D \isin L \equiv D \le L$.
+And by Exact Ancestors $D \le L \equiv D \le B$.
+So $D \isin B \equiv D \le B$.  $\qed$
+
+\subsection{Foreign Contents}
 
-By Foreign Inclusion of $D$ xxx up to here
+Not applicable.
 
 \section{Create Tip}
 
@@ -562,7 +567,7 @@ R^+ \in \pry \land R^- = \baseof{R^+}
  L \haspatch \pry
 }\]
 
-\subsection{Ordering of ${L, R^+, R^-}$:}
+\subsection{Ordering of Ingredients:}
 
 By Unique Tip, $R^+ \le L$.  By definition of $\base$, $R^- \le R^+$
 so $R^- \le L$.  So $R^+ \le C$ and $R^- \le C$.
@@ -659,7 +664,7 @@ $\qed$
 
 \subsection{Foreign Contents}
 
-Not applicable. $\qed$
+Not applicable.
 
 \section{Merge}