X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=blobdiff_plain;f=simple.tex;h=ffd2d8d0ca378f2c58e48ac0f33bb792e4d26f45;hp=df7a9a72ca9a6062e613da10057f3e6efd906df1;hb=13bb63711973608b167a8624d32e5323b866bbe6;hpb=706dd4d88cb6bdeca6550c5b773c66ddfa57a1ba

diff --git a/simple.tex b/simple.tex
index df7a9a7..ffd2d8d 100644
--- a/simple.tex
+++ b/simple.tex
@@ -56,7 +56,6 @@ $$
 \end{cases}
 $$
 \proofstarts
-~
 
 Firstly, if $L \haspatch \p$, $\exists_{F \in \py} F \le L$
 and this $F$ is also $\le C$
@@ -86,17 +85,24 @@ OK.
 Firstly, $C \not\in \py$ since if it were, $L \in \py$.
 Thus $D \neq C$.
 
-Now by contents of $L$, $D \notin L$, so $D \notin C$.
+Now by $\nothaspatch$, $D \not\isin L$ so $D \not\isin C$.
 OK.
 
 $\qed$
 
+\subsection{Unique Tips:}
+
+Single Parent Unique Tips applies.  $\qed$
+
 \subsection{Foreign Inclusion:}
 
 Simple Foreign Inclusion applies.  $\qed$
 
-\subsection{Foreign Contents:}
+\subsection{Foreign Ancestry:}
+
+Only relevant if $\isforeign{C}$, and in that case Totally
+Foreign Ancestry applies. $\qed$
 
-Only relevant if $\patchof{C} = \bot$, and in that case Totally
-Foreign Contents applies. $\qed$
+\subsection{Bases' Children:}
 
+Trivial.