146 lines
4.2 KiB
TeX
146 lines
4.2 KiB
TeX
\usepackage{amsfonts, amsmath, amssymb, amsthm}
|
|
\usepackage{bigfoot}
|
|
\usepackage{comment}
|
|
\usepackage[shortlabels]{enumitem}
|
|
\usepackage{etoolbox}
|
|
\usepackage{environ}
|
|
\usepackage{fancybox}
|
|
\usepackage{fontawesome5}
|
|
\usepackage{mathrsfs}
|
|
\usepackage{soul}
|
|
\usepackage{stmaryrd}
|
|
\usepackage[usenames,dvipsnames]{xcolor}
|
|
% `hyperref` comes after `xr-hyper`.
|
|
\usepackage{xr-hyper}
|
|
\usepackage{hyperref}
|
|
|
|
% Open "private" namespace.
|
|
\makeatletter
|
|
|
|
% ========================================
|
|
% General
|
|
% ========================================
|
|
|
|
\newcommand{\header}[2]{\title{#1}\author{#2}\date{}\maketitle}
|
|
|
|
% ========================================
|
|
% Dividers
|
|
% ========================================
|
|
|
|
\newcommand\@linespace{\vspace{10pt}}
|
|
\newcommand\linedivider{\@linespace\hrule\@linespace}
|
|
\WithSuffix\newcommand\linedivider*{\@linespace\hrule}
|
|
\newcommand\suitdivider{$$\spadesuit\;\spadesuit\;\spadesuit$$}
|
|
|
|
% ========================================
|
|
% Linking
|
|
% ========================================
|
|
|
|
\hypersetup{colorlinks=true, linkcolor=blue, urlcolor=blue}
|
|
\newcommand{\textref}[1]{\text{\nameref{#1}}}
|
|
|
|
\newcommand\@leanlink[4]{%
|
|
\textcolor{blue}{$\pmb{\exists}\;{-}\;$}\href{#1/#2.html\##3}{#4}}
|
|
|
|
% Reference to an anchor of Lean documentation.
|
|
\newcommand\leanref[3]{%
|
|
\@leanlink{#1}{#2}{#3}{#3}\vspace{10pt}}
|
|
\WithSuffix\newcommand\leanref*[3]{%
|
|
\@leanlink{#1}{#2}{#3}{#3}}
|
|
|
|
% Variant that allows customizing display text.
|
|
\newcommand\leanpref[4]{%
|
|
\@leanlink{#1}{#2}{#3}{#4}\vspace{10pt}}
|
|
\WithSuffix\newcommand\leanpref*[4]{%
|
|
\@leanlink{#1}{#2}{#3}{#4}}
|
|
|
|
% Macro to build all Lean related commands relative to a specified directory.
|
|
\newcommand\makeleancommands[1]{%
|
|
\newcommand\lean[2]{%
|
|
\leanref{#1}{##1}{##2}}
|
|
\WithSuffix\newcommand\lean*[2]{%
|
|
\leanref*{#1}{##1}{##2}}
|
|
\newcommand\leanp[3]{%
|
|
\leanpref{#1}{##1}{##2}{##3}}
|
|
\WithSuffix\newcommand\leanp*[3]{%
|
|
\leanpref*{#1}{##1}{##2}{##3}}
|
|
}
|
|
|
|
% ========================================
|
|
% Admonitions
|
|
% ========================================
|
|
|
|
\newcommand{\@admonition}[2]{%
|
|
\begin{center}
|
|
\doublebox{
|
|
\begin{minipage}{0.95\textwidth}
|
|
\vspace{2pt}
|
|
\hl{#1} #2
|
|
\vspace{2pt}
|
|
\end{minipage}}
|
|
\end{center}}
|
|
|
|
\newcommand{\note}[1]{\@admonition{Note:}{#1}}
|
|
\newcommand{\todo}[1]{\@admonition{TODO:}{#1}}
|
|
|
|
% ========================================
|
|
% Statements
|
|
% ========================================
|
|
|
|
\newcommand\@statement[1]{%
|
|
\linedivider*\paragraph{\normalfont\normalsize\textit{#1.}}}
|
|
\newcommand{\statementpadding}{\ \vspace{8pt}}
|
|
|
|
\newenvironment{answer}{\@statement{Answer}}{\hfill$\square$}
|
|
\newenvironment{axiom}{\@statement{Axiom}}{\hfill$\square$}
|
|
\newenvironment{definition}{\@statement{Definition}}{\hfill$\square$}
|
|
\renewenvironment{proof}{\@statement{Proof}}{\hfill$\square$}
|
|
|
|
\newtheorem{lemmainner}{Lemma}
|
|
\newenvironment{lemma}[1][]{%
|
|
\ifstrempty{#1}
|
|
{\lemmainner}
|
|
{\renewcommand\thelemmainner{#1}\lemmainner}
|
|
}{\endlemmainner}
|
|
|
|
\newtheorem{theoreminner}{Theorem}
|
|
\newenvironment{theorem}[1][]{%
|
|
\ifstrempty{#1}
|
|
{\theoreminner}
|
|
{\renewcommand\thetheoreminner{#1}\theoreminner}
|
|
}{\endtheoreminner}
|
|
|
|
% ========================================
|
|
% Status
|
|
% ========================================
|
|
|
|
\DeclareRobustCommand{\defined}[1]{%
|
|
\texorpdfstring{\color{darkgray}\faParagraph\ #1}{#1}}
|
|
\DeclareRobustCommand{\verified}[1]{%
|
|
\texorpdfstring{\color{teal}\faCheckCircle\ #1}{#1}}
|
|
\DeclareRobustCommand{\partial}[1]{%
|
|
\texorpdfstring{\color{Fuchsia}\faPencil*\ #1}{#1}}
|
|
\DeclareRobustCommand{\unverified}[1]{%
|
|
\texorpdfstring{\color{Maroon}\faExclamationCircle\ #1}{#1}}
|
|
|
|
% ========================================
|
|
% Math
|
|
% ========================================
|
|
|
|
\newcommand{\abs}[1]{\left|#1\right|}
|
|
\newcommand{\ceil}[1]{\left\lceil#1\right\rceil}
|
|
\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
|
|
\newcommand{\icc}[2]{\left[#1, #2\right]}
|
|
\newcommand{\ico}[2]{\left[#1, #2\right)}
|
|
\newcommand{\ioc}[2]{\left(#1, #2\right]}
|
|
\newcommand{\ioo}[2]{\left(#1, #2\right)}
|
|
\newcommand{\powerset}[1]{\mathscr{P}#1}
|
|
\newcommand{\textop}[1]{\mathop{\text{#1}}}
|
|
\newcommand{\ubar}[1]{\text{\b{$#1$}}}
|
|
|
|
\let\oldemptyset\emptyset
|
|
\let\emptyset\varnothing
|
|
|
|
% Close off "private" namespace.
|
|
\makeatother
|