X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?a=blobdiff_plain;f=create-base.tex;h=7983f6b9c3bca0c5dce5d7d55077f2c7063a076c;hb=HEAD;hp=b429e40b931681edfdefe822de1429a7f00ae37c;hpb=7dc335c17ae313c006e2283a35ca214b213ffcd9;p=topbloke-formulae.git diff --git a/create-base.tex b/create-base.tex index b429e40..7983f6b 100644 --- a/create-base.tex +++ b/create-base.tex @@ -13,7 +13,10 @@ create a Topbloke base branch initial commit $B$. \subsection{Conditions} \[ \eqn{ Create Acyclic }{ - \pendsof{L}{\pqy} = \{ \} + L \nothaspatch \pq +}\] +\[ \eqn{ Ingredients }{ + \patchof L = \foreign \lor \patchof L = \py }\] \subsection{No Replay} @@ -31,8 +34,7 @@ Not applicable. \subsection{Base Acyclic} Consider some $D \isin B$. If $D = B$, $D \in \pqn$. -If $D \neq B$, $D \isin L$, so by No Replay $D \le L$ -and by Create Acyclic +If $D \neq B$, $D \isin L$, so by Create Acyclic $D \not\in \pqy$. $\qed$ \subsection{Coherence and Patch Inclusion} @@ -41,16 +43,24 @@ Consider some $D \in \py$. $B \not\in \py$ so $D \neq B$. So $D \isin B \equiv D \isin L$ and $D \le B \equiv D \le L$. -Thus $L \haspatch \p \implies B \haspatch P$ -and $L \nothaspatch \p \implies B \nothaspatch P$. +Thus $L \haspatch \p \equiv B \haspatch P$ +and $L \nothaspatch \p \equiv B \nothaspatch P$. + +$\qed$ -$\qed$. +\subsection{Unique Tips:} + +Single Parent Unique Tips applies. $\qed$ \subsection{Foreign Inclusion} Simple Foreign Inclusion applies. $\qed$ -\subsection{Foreign Contents} +\subsection{Foreign Ancestry} Not applicable. +\subsection{Bases' Children} + +Not applicable, by Ingredients. +$\qed$