-\documentclass[a4paper]{strayman}
+\documentclass[a4paper,leqno]{strayman}
\let\numberwithin=\notdef
+\usepackage{amsmath}
\usepackage{mathabx}
\usepackage{stmaryrd}
\usepackage{slashed}
\newcommand{\has}{\sqsupseteq}
\newcommand{\isin}{\sqsubseteq}
-\newcommand{\nothaspatch}{{%
- \declareslashed{}{\sslash}{-0.04}{0}{\sqSupset}\slashed{\sqSupset}}}
-\newcommand{\notpatchisin}{{%
- \declareslashed{}{\sslash}{-0.04}{0}{\sqSubset}\slashed{\sqSubset}}}
+\newcommand{\nothaspatch}{\mathrel{\,\not\!\not\relax\haspatch}}
+\newcommand{\notpatchisin}{\mathrel{\,\not\!\not\relax\patchisin}}
\newcommand{\haspatch}{\sqSupset}
\newcommand{\patchisin}{\sqSubset}
\newcommand{\hasparents}{>_{\mkern-7.0mu _1}}
\newcommand{\areparents}{<_{\mkern-14.0mu _1\mkern+5.0mu}}
-\newcommand{\implies}{\Rightarrow}
+\renewcommand{\implies}{\Rightarrow}
\newcommand{\pancs}[2]{{\mathcal A} ( #1 , #2 ) }
\newcommand{\pends}[2]{{\mathcal E} ( #1 , #2 ) }
+\renewcommand{\land}{\wedge}
+
\begin{document}
\section{Notation}
is to be taken as applying to both $\py$ and $\pn$.
All these sets are distinct.
+\item[ $ \pancs{C}{\set P} $ ]
+$ \{ A \; | \; A \le C \land A \in \set P \} $
+i.e. all the ancestors of $C$
+which are in $\set P$.
+
+\item[ $ \pends{C}{\set P} $ ]
+$ \{ E \; | \; E \in \pancs{C}{\set P}
+ \land \mathop{\not\exists}_{A \in \pancs{C}{\set P}}
+ A \neq E \land E \le A \} $
+i.e. all $\le$-maximal commits in $\pancs{C}{\set P}$.
+
\end{basedescript}
\section{Invariants}
-No replay: \[ C \has D \implies C \ge D \]
+\[ C \has D \implies C \ge D \tag*{\mbox{No replay:}} \]
Unique base: \[ \mathop{\forall}_{C \in \py} \pends{C}{\pn} = \{ B \} \]
$ C \nothaspatch \p $
+$ \p \patchisin C $
+
+$ \p \notpatchisin C $
+
$ \{ B \} \areparents C $
\end{document}