merge fixes/clarifications - fix several P to \p

[topbloke-formulae.git] / merge.tex

diff --git a/merge.tex b/merge.tex
index 2a3dd225fe71f24ee211f3d9f1c1788b8f3e09d4..f6a3e9304b5cc404dd8121d08b39cc95d642b3c8 100644 (file)
--- a/merge.tex
+++ b/merge.tex
@@ -163,22 +163,22 @@ Self Inpatch for $L$, $L \haspatch \p$, so $L=Y, R=X$.  By Tip Merge,
 $M=\baseof{L}$.  So by Base Acyclic $D \not\isin M$, i.e.
 $M \nothaspatch \p$.  And indeed $D \isin C$ and $D \le C$.  OK.
 
-Consider $D \neq C, M \nothaspatch P, D \isin Y$:
+Consider $D \neq C, M \nothaspatch \p, D \isin Y$:
 $D \le Y$ so $D \le C$.
 $D \not\isin M$ so by $\merge$, $D \isin C$.  OK.
 
-Consider $D \neq C, M \nothaspatch P, D \not\isin Y$:
+Consider $D \neq C, M \nothaspatch \p, D \not\isin Y$:
 $D \not\le Y$.  If $D \le X$ then
 $D \in \pancsof{X}{\py}$, so by Addition Merge Ends and
 Transitive Ancestors $D \le Y$ --- a contradiction, so $D \not\le X$.
 Thus $D \not\le C$.  By $\merge$, $D \not\isin C$.  OK.
 
-Consider $D \neq C, M \haspatch P, D \isin Y$:
+Consider $D \neq C, M \haspatch \p, D \isin Y$:
 $D \le Y$ so $D \in \pancsof{Y}{\py}$ so by Removal Merge Ends
 and Transitive Ancestors $D \in \pancsof{M}{\py}$ so $D \le M$.
 Thus $D \isin M$.  By $\merge$, $D \not\isin C$.  OK.
 
-Consider $D \neq C, M \haspatch P, D \not\isin Y$:
+Consider $D \neq C, M \haspatch \p, D \not\isin Y$:
 By $\merge$, $D \not\isin C$.  OK.
 
 $\qed$