X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=blobdiff_plain;f=simple.tex;h=dfcf907fbb9ea6d43ddbd1ade98f8eaea57f6c38;hp=9b556ed0cd3cae33726e86812e423eb99ba4b5de;hb=410132e37a1f6e95cbfa9792d63b50b9390e59e4;hpb=54fc3c8f829bfae8dfba6b2178228d2e80036722 diff --git a/simple.tex b/simple.tex index 9b556ed..dfcf907 100644 --- a/simple.tex +++ b/simple.tex @@ -47,7 +47,7 @@ $L$, $D \isin C \implies D \not\in \py$. $\qed$ -\subsection{Coherence and patch inclusion} +\subsection{Coherence and Patch Inclusion} Need to consider $D \in \py$ @@ -63,7 +63,9 @@ $ D \isin C \equiv \ldots \lor \true \text{ so } D \haspatch 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 $ D \isin C \equiv D \isin L $, i.e. $ C \zhaspatch P $. +By $\haspatch$ for $L$, $\exists_{F \in \py} F \le L$ +and this $F$ is also $\le C$. So $\haspatch$. So: \[ L \haspatch \p \implies C \haspatch \p \]