chiark / gitweb /
merge fixes/clarifications - clarify tip contents R \not\in \py
[topbloke-formulae.git] / article.tex
1 \documentclass[a4paper,leqno]{strayman}
2 \errorcontextlines=50
3 \let\numberwithin=\notdef
4 \usepackage{amsmath}
5 \usepackage{mathabx}
6 \usepackage{txfonts}
7 \usepackage{amsfonts}
8 \usepackage{mdwlist}
9 %\usepackage{accents}
10
11 \usepackage{fancyhdr}
12 \pagestyle{fancy}
13 \lhead[\rightmark]{}
14
15 \let\stdsection\section
16 \renewcommand\section{\newpage\stdsection}
17
18 \renewcommand{\ge}{\geqslant}
19 \renewcommand{\le}{\leqslant}
20 \newcommand{\nge}{\ngeqslant}
21 \newcommand{\nle}{\nleqslant}
22
23 \newcommand{\has}{\sqsupseteq}
24 \newcommand{\isin}{\sqsubseteq}
25
26 \newcommand{\nothaspatch}{\mathrel{\,\not\!\not\relax\haspatch}}
27 \newcommand{\notpatchisin}{\mathrel{\,\not\!\not\relax\patchisin}}
28 \newcommand{\haspatch}{\sqSupset}
29 \newcommand{\patchisin}{\sqSubset}
30
31         \newif\ifhidehack\hidehackfalse
32         \DeclareRobustCommand\hidefromedef[2]{%
33           \hidehacktrue\ifhidehack#1\else#2\fi\hidehackfalse}
34         \newcommand{\pa}[1]{\hidefromedef{\varmathbb{#1}}{#1}}
35
36 \newcommand{\set}[1]{\mathbb{#1}}
37 \newcommand{\pay}[1]{\pa{#1}^+}
38 \newcommand{\pan}[1]{\pa{#1}^-}
39
40 \newcommand{\p}{\pa{P}}
41 \newcommand{\py}{\pay{P}}
42 \newcommand{\pn}{\pan{P}}
43
44 \newcommand{\pq}{\pa{Q}}
45 \newcommand{\pqy}{\pay{Q}}
46 \newcommand{\pqn}{\pan{Q}}
47
48 \newcommand{\pr}{\pa{R}}
49 \newcommand{\pry}{\pay{R}}
50 \newcommand{\prn}{\pan{R}}
51
52 %\newcommand{\hasparents}{\underaccent{1}{>}}
53 %\newcommand{\hasparents}{{%
54 %  \declareslashed{}{_{_1}}{0}{-0.8}{>}\slashed{>}}}
55 \newcommand{\hasparents}{>_{\mkern-7.0mu _1}}
56 \newcommand{\areparents}{<_{\mkern-14.0mu _1\mkern+5.0mu}}
57
58 \renewcommand{\implies}{\Rightarrow}
59 \renewcommand{\equiv}{\Leftrightarrow}
60 \renewcommand{\nequiv}{\nLeftrightarrow}
61 \renewcommand{\land}{\wedge}
62 \renewcommand{\lor}{\vee}
63
64 \newcommand{\pancs}{{\mathcal A}}
65 \newcommand{\pends}{{\mathcal E}}
66
67 \newcommand{\pancsof}[2]{\pancs ( #1 , #2 ) }
68 \newcommand{\pendsof}[2]{\pends ( #1 , #2 ) }
69
70 \newcommand{\merge}{{\mathcal M}}
71 \newcommand{\mergeof}[4]{\merge(#1,#2,#3,#4)}
72 %\newcommand{\merge}[4]{{#2 {{\frac{ #1 }{ #3 } #4}}}}
73
74 \newcommand{\patch}{{\mathcal P}}
75 \newcommand{\base}{{\mathcal B}}
76
77 \newcommand{\patchof}[1]{\patch ( #1 ) }
78 \newcommand{\baseof}[1]{\base ( #1 ) }
79
80 \newcommand{\eqntag}[2]{ #2 \tag*{\mbox{#1}} }
81 \newcommand{\eqn}[2]{ #2 \tag*{\mbox{\bf #1}} }
82
83 %\newcommand{\bigforall}{\mathop{\hbox{\huge$\forall$}}}
84 \newcommand{\bigforall}{%
85   \mathop{\mathchoice%
86     {\hbox{\huge$\forall$}}%
87     {\hbox{\Large$\forall$}}%
88     {\hbox{\normalsize$\forall$}}%
89     {\hbox{\scriptsize$\forall$}}}%
90 }
91
92 \newcommand{\Largeexists}{\mathop{\hbox{\Large$\exists$}}}
93 \newcommand{\Largenexists}{\mathop{\hbox{\Large$\nexists$}}}
94
95 \newcommand{\qed}{\square}
96 \newcommand{\proofstarts}{{\it Proof:}}
97 \newcommand{\proof}[1]{\proofstarts #1 $\qed$}
98
99 \newcommand{\gathbegin}{\begin{gather} \tag*{}}
100 \newcommand{\gathnext}{\\ \tag*{}}
101
102 \newcommand{\true}{t}
103 \newcommand{\false}{f}
104
105 \begin{document}
106
107 \input{notation.tex}
108 \input{invariants.tex}
109 \input{lemmas.tex}
110 \input{annotations.tex}
111
112 \input{simple.tex}
113 \input{create-base.tex}
114 \input{create-tip.tex}
115 \input{anticommit.tex}
116 \input{merge.tex}
117
118 \end{document}