From: Ian Jackson Date: Fri, 16 Mar 2012 23:45:16 +0000 (+0000) Subject: small fixes X-Git-Tag: f0.2~2 X-Git-Url: https://www.chiark.greenend.org.uk/ucgi/~ian/git?a=commitdiff_plain;h=c773a9f7d593c5d6ce9dc772914562797de6024e;p=topbloke-formulae.git small fixes --- diff --git a/merge.tex b/merge.tex index 5be4479..d348670 100644 --- a/merge.tex +++ b/merge.tex @@ -62,7 +62,7 @@ Given those conditions, Tip Merge and Merge Acyclic do not apply. By Foreign Contents of $L$, $\patchof{M} = \bot$ as well. So by Foreign Contents for any $A \in \{L,M,R\}$, $\forall_{\p, D \in \py} D \not\le A$ -so by No Replay for A $D \not\isin A$. +so by No Replay for $A$, $D \not\isin A$. Thus $\pendsof{A}{\py} = \{ \}$ and the RHS of both Merge Ends conditions are satisifed. @@ -162,7 +162,7 @@ various cases that $D \isin C \equiv M \nothaspatch \p \land D \le C$ (which suffices by definition of $\haspatch$ and $\nothaspatch$). Consider $D = C$: Thus $C \in \py, L \in \py$. -By Tip Self Inpatch, $\neg[ L \nothaspatch \p ]$ so $L \neq R$, +By Tip Self Inpatch, $\neg[ L \nothaspatch \p ]$ so $L \neq X$, therefore we must have $L=Y$, $R=X$. By Tip Merge $M = \baseof{L}$ so $M \in \pn$ so by Base Acyclic $M \nothaspatch \p$. By $\merge$, $D \isin C$,