joshuadunfield.sty

\ProvidesClass{joshuadunfield}[2015/06/20 - Minor revision]

% \RequirePackage{etex}
\RequirePackage{amsmath}

%
% Bring in \etal, \eg, etc.
%
\RequirePackage{etal}

%
% The mathpar package.
%
\RequirePackage{mathpartir}

%
% Colours
%
\RequirePackage{color}
\RequirePackage{xcolor}

% Yellow suitable for highlighting
%
\definecolor{dHilite}{rgb}{0.9, 0.9, 0.6}

% Darker versions (dRed, dBlue, etc.) of common colours;
% pure red/blue/green are violently garish, and too light in monochrome.
%
% dDkRed, etc. are darker still.
% dLight[er]{Blue|Purple} are lighter colours suitable for backgrounds.
%
% dFaint, dGray, dDark, dAlmostBlack are shades of gray.
%
\definecolor{dRed}{rgb}{0.65, 0.0, 0.0}
\definecolor{dDkRed}{rgb}{0.35, 0.0, 0.0}
\definecolor{dGreen}{rgb}{0.0, 0.65, 0.0}
\definecolor{dDkGreen}{rgb}{0.0, 0.35, 0.0}
\definecolor{dBlue}{rgb}{0.0, 0.0, 0.65}
\definecolor{dLightBlue}{rgb}{0.4, 0.4, 0.9}
\definecolor{dLighterBlue}{rgb}{0.8, 0.8, 1.0}
\definecolor{dDkBlue}{rgb}{0.0, 0.0, 0.45}
\definecolor{dLightPurple}{rgb}{0.9, 0.5, 0.9}
\definecolor{dLighterPurple}{rgb}{1.0, 0.7, 1.0}
\definecolor{dPurple}{rgb}{0.65, 0.0, 0.65}
\definecolor{dDigPurple}{rgb}{0.5, 0.0, 0.5}
% \definecolor{DDIGPURPLE}{rgb}{0.5, 0.0, 0.5}  % laughable
\definecolor{dFaint}{rgb}{0.7, 0.7, 0.7}
\definecolor{dGray}{rgb}{0.5, 0.5, 0.5}
\definecolor{dDark}{rgb}{0.2, 0.2, 0.2}
\definecolor{dAlmostBlack}{rgb}{0.1, 0.1, 0.1}

\definecolor{lred}{rgb}{1.0, 0.3, 0.3}


\newcommand{\mathcolor}[2]{{\textcolor{#1}{\ensuremath{#2}}}}

\newcommand{\textgraybox}[1]{\boxed{#1}}
\newcommand{\graybox}[1]{\textgraybox{\ensuremath{#1}}}

\newcommand{\tightcolorbox}[2]{\setlength{\fboxsep}{1pt}\colorbox{#1}{#2}}

\definecolor{grayboxgray}{rgb}{0.85, 0.85, 0.85}
\newcommand{\textcolorbox}[2]{\tightcolorbox{#1}{#2}}
\newcommand{\textshadebox}[1]{\textcolorbox{grayboxgray}{#1}}
\newcommand{\shadebox}[1]{\text{\textshadebox{\ensuremath{#1}}}}

\newcommand{\mathcolorbox}[2]{\text{\tightcolorbox{#1}{$\displaystyle {#2}$}}}

\newcommand{\hilite}[2]{\mathcolorbox{#1}{{#2}\mathstrut}}
\newcommand{\redhi}[1]{\hilite{red!40}{#1}}
\newcommand{\yellhi}[1]{\hilite{yellow}{#1}}
\newcommand{\fighi}[1]{\hilite{yellow!40}{#1}}
\newcommand{\purplehi}[1]{\hilite{purple!40}{#1}}
\newcommand{\purpleop}[1]{\mathrel{\hilite{purple!40}{{#1}}}}


%
% Font handling.
%
% First, some generally useful macros:
%
%
%  \textvtt{...}:  Like \texttt, but the *variable*-width CM typewriter font.
%
%  \textbi{...}:  Bold italic
%  
%


%\newcommand{\textvtt}[1]{{\normalfont\fontfamily{cmvtt}\selectfont {#1}}}
\newcommand{\textvtt}[1]{\text{\normalfont\fontfamily{cmvtt}\selectfont {#1}}}
%\newcommand{\textvtt}[1]{\text{\normalfont\fontfamily{cmvtt}\selectfont\fontsz{11.0pt}{#1}}}
\newcommand{\textbi}[1]{\textit{\bfseries#1}}

%
% Non-``run-on'' font macros that also set the line spacing to 1.2*the font size.
% Examples:
%
%     \fontsz{18pt}{Eighteen-point text, in text mode}
%     \mathsz{18pt}{18~pt~\in~\text{math} + \text{mode}}

\newdimen\zzfontsz
\newcommand{\fontsz}[2]{\zzfontsz=#1%
{\fontsize{\zzfontsz}{1.2\zzfontsz}\selectfont{#2}}}

\newcommand{\mathsz}[2]{\text{\fontsz{#1}{$#2$}}}


%
% Second, macros for particular animals (keywords, function names, etc.):
%
%  \keyword{...}:  Keyword (= \textvtt)
%     (synonym: \textkw{...})
%
%  \textid{...}:  Identifier (= \textit)
%
%  \textfn{...}:  Function name (italic variable-width typewriter)
%
%  \datacon{...}:  Data constructor (= \mathsf)
%
%  \tyname{...}:  Type name (= \mathsf)
%
%  \sortname{...}:  Sort name (= \tyname)
%


%\newcommand{\textfn}[1]{\textit{#1}}
\newcommand{\textfn}[1]{\text{\itshape\fontfamily{cmvtt}\selectfont {#1}}}
\newcommand{\datacon}[1]{\ensuremath{\mathsf{#1}}}
\newcommand{\tyname}[1]{\ensuremath{\mathsf{#1}}}
\newcommand{\sortname}[1]{\tyname{#1}}
%\newcommand{\keyword}[1]{\textbf{#1}}%{\text{\usefont{T1}{phv}{b}{n}\fontsize{11pt}{13pt}\selectfont#1}}
%\newcommand{\keyword}[1]{\text{\usefont{T1}{\rmdefault}{b}{n}\fontsize{\keywordfontsize}{12pt}\selectfont#1}}
\newcommand{\keyword}[1]{\text{\textvtt{#1}}}
\newcommand{\textkw}[1]{\keyword{#1}}
\newcommand{\textid}[1]{\textit{#1}}

%   Set the font size for \textkw and \keyword
%
\newcommand{\keywordfontsize}{9.7pt}  % should be about (document point size - 0.4pt)

% Third, screaming red:
%
\newcommand{\flaming}[1]{\textcolor{red}{\fontsz{18pt}{\bf #1}}}
\newcommand{\flamingmath}[1]{\textcolor{red}{\fontsz{18pt}{\bf \ensuremath{#1}}}}
\newcommand{\semiflaming}[1]{\textcolor{dRed}{\sl #1}}

% \normalfont capers:
%
% If your theorems, lemmas, etc. are italic or slanted, and they mention
% judgments that have words (shocking, to use words), those words
% tend to become italic or slanted too, which I think looks silly.
%
% Two solutions:
%
%  (1) Don't use a special style for theorems and lemmas.
%
%  (2) Use \normalfont a lot.
%
\newcommand{\textt}[1]{\text{\normalfont\texttt{#1}}}


\newdimen{\zzzpbox}
\newcommand{\pbox}[1]{\settowidth\zzzpbox{#1}\parbox{\zzzpbox}{#1}}

\newlength{\zzsplatboldwidth}
\newcommand{\xsplatbold}[2]{\settowidth{\zzsplatboldwidth}{{#2}}{#2}\addtolength{\zzsplatboldwidth}{-#1}\hspace{-\zzsplatboldwidth}\raisebox{#1}{{#2}}}
\newcommand{\splatbold}[1]{\xsplatbold{-0.04mm}{#1}}

%\newcommand{\stupidfontsz}[1]{\zzfontsz=#1%
%{\fontsize{\zzfontsz}{1.2\zzfontsz}\selectfont}}

\makeatletter
\def\url@MGstyle{%
\def\UrlFont{\tiny\ttfamily}% \tiny for 2-column dense papers (will not appear in final versions anyway)
\def\do@url@hyp{\do\-}%Break at hyphens
\Url@do
}
\makeatother
\newcommand{\marginPseudoURL}{\begingroup \urlstyle{MG}\Url}

\newcommand{\marginnote}[1]{\marginpar{\raggedright\scriptsize{#1}}}



% Yes, \Lam and \Fix are defined to take only one argument (the binder).
% This is on purpose: these macros don't render a closing delimiter,
% so it's misleading to have a closing delimiter (of a 2nd argument) in
% the LaTeX source.
%
% Since TeX doesn't care if you have extra {}, you won't get an error if you write
%
%    \Lam{x}{blabla(x)}
%
% but you shouldn't, because it doesn't match the rendering
%
%    \lambda x. blabla(x)
%
% Also, single-argument macros let you write (in an array)
%
%  \Lam{x} \\
%  ~~blabla(x)
%
% without putting a silly {} after \Lam{x}.

\newcommand{\xLam}{\lambda}
\newcommand{\Lam}[1]{\xLam#1.\,}
\newcommand{\lam}[1]{\Lam{#1}}

\newcommand{\Pair}[2]{\textvtt{(}#1\textvtt{,}\;#2\textvtt{)}}
\newcommand{\xFix}{\ensuremath{\keyword{fix}}}
\newcommand{\Fix}[1]{\xFix~#1.\:}


%
% Characters that can't be easily quoted
%
\newcommand{\Backslash}{\char"5C}
\newcommand{\Lbrack}{\char"5B}
\newcommand{\Rbrack}{\char"5D}
\newcommand{\Lbrace}{\char"7B}
\newcommand{\Rbrace}{\char"7D}
\newcommand{\tildesym}{\textt{\char"7E}}
\newcommand{\caret}{\char94}


%
% Unfiled
%
\newcommand{\bnfas}{\ensuremath{\mathrel{::=}}}
\newcommand{\bnfalt}{\mathrel{\mid}}
\newcommand{\bnfaltbrk}{\hspace{-1.02ex}\bnfalt}
\newcommand{\bnfaltBRK}{\) \\ &&& \(\bnfaltbrk}


%
% References (``Lemma \ref{...}'', etc.)
%
% Lots of people would put nonbreaking spaces in these, such as
% 
%   Figure~\ref{fig:foo}
%
% These macros don't.  Most of the time, the ~ makes no difference;
% when it does make a difference, the line-layout effects are
% unpredictable.  Having ``Figure'' and ``5'' on different lines is bad,
% but it's less bad than having a line run into the gutter.  The cure shouldn't
% be worse than the disease, and you always have the option of hand-writing
% ``Figure~\ref{fig:foo}'' when that's really the lesser evil.
%
% Notes:
%    \Lemmaref{...} uses \nameref to add the lemma name (in parentheses).
%    \Lemref doesn't.

\newcommand{\Appendixref}[1]{Appendix \ref{#1}}
\newcommand{\Figureref}[1]{Figure \ref{#1}}
\newcommand{\Figref}[1]{Fig.\ \ref{#1}}
\newcommand{\Sectionref}[1]{Section \ref{#1}}
\newcommand{\Secref}[1]{Sec.\ \ref{#1}}

\newcommand{\Lemmaref}[1]{Lemma \ref{#1} (\nameref{#1})}   % name and number
\newcommand{\Lemref}[1]{\Lemma \ref{#1}}   % number only

\newcommand{\Chapterref}[1]{Chapter \ref{#1}}
\newcommand{\Listingref}[1]{Listing \ref{#1}}

\newcommand{\Theoremref}[1]{Theorem \ref{#1}}
\newcommand{\Thmref}[1]{Thm.\ \ref{#1}}
\newcommand{\Corollaryref}[1]{Corollary \ref{#1}}
\newcommand{\Corref}[1]{Cor.\ \ref{#1}}

\newcommand{\Conjectureref}[1]{Conjecture \ref{#1}}
\newcommand{\Propositionref}[1]{Proposition \ref{#1}}
\newcommand{\Propertyref}[1]{Property \ref{#1}}
\newcommand{\Remarkref}[1]{Remark \ref{#1}}
\newcommand{\Tableref}[1]{Table \ref{#1}}

\newcommand{\Definitionref}[1]{Definition \ref{#1}}
\newcommand{\Defnref}[1]{Def.\ \ref{#1}}

% Apparently I once used these macros, but I don't anymore:
\newcommand{\nestedref}[2]{\ref{#1}(\textit{\ref{#1:#2}})}
\newcommand{\nestedLemmaref}[2]{Lemma \nestedref{#1}{#2}}
\newcommand{\nestedPropertyref}[2]{Property \nestedref{#1}{#2}}



% ``Semantic'' synonyms for symbols.
%
% Ideally, LaTeX source would be almost as readable as the rendered output.
% It never will be, but it should be made more readable wherever practical.
% It is *entirely* practical to write \union instead of \cup, etc., giving the reader
% (of the source) a fighting chance of reading the source out loud.  Compare
%
%       F(A) \union B
%
% to
%
%       F(A) \cup B
%
% If you actually pronounce set union "cup", you're putting the LaTeX cart
% in front of the mathematical horse, and you're being rude to any members
% of your audience who don't know much LaTeX---which means you're being
% particularly and disproportionately rude to undergrads and early grad
% students.  (Thus, if you're faculty, you're being rude to your students.)

\newcommand{\union}{\cup}
\newcommand{\sect}{\cap}

\newcommand{\Union}{\bigcup}

\newcommand{\contradiction}{{\Longrightarrow}{\Longleftarrow}}


%
% Example of the \foosym / \foo convention for (among others) binary operators:
%
%  \foosym is the ``raw'' symbol, usually with extra braces to defeat
%  whatever spacing TeX might otherwise try to add.
%
%  \foo is the symbol you usually want to use, with \mathrel{} so it gets
%
%  Why do I defeat the spacing only to add it again?
%
%  First, if I want to build some big symbol with \foosym as a component,
%  I probably don't want any extra space around \foosym (though I
%  probably want space around the big symbol).
%
%  Second, TeX's spacing is not always correct.  A particularly irritating
%  example that I've seen in many published papers is !.  TeX assumes
%  that ! (in math mode) is factorial, which is a postfix operator.
%  In programming languages, ! is usually a prefix operator.  So if you write
%
%    \Gamma \vdash !e : \tau
%
%  TeX will slam the ! right up against the \vdash, making it look like ! is
%  decorating the turnstile.  If you write {!}, you avoid this; but why should
%  you have to remember where to add random sets of braces?  Give ! a name,
%  and put the extra braces in the macro definition.
%
%  (\usepackage{euler}, for some reason, solves this particular problem;
%  but that seems fortuitous.)

\newcommand{\subtypesym}{{\leq}}
\newcommand{\subtype}{\mathrel{\subtypesym}}

\newcommand{\supertypesym}{{\geq}}
\newcommand{\supertype}{\mathrel{\supertypesym}}

\newcommand{\set}[1]{\left\{ #1 \right\}}
\newcommand{\abs}[1]{\left| #1\right|}
\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil}
\newcommand{\twodots}{\mathinner{\ldotp\ldotp}}


\newcommand{\where}{~\text{where}~}
\newcommand{\forsome}{~\text{for some}~}
\newcommand{\AND}{\textrm{~and~}}
\newcommand{\OR}{\textrm{~or~}}

%\renewcommand{\o}{\,{\circ}\,}    % Clashes with slash-o
\newcommand{\composesubst}{\mathrel{\circ}}

\newcommand{\arr}{\rightarrow}

\newcommand{\entailssym}{{\vdash}}
\newcommand{\entails}{\mathrel{\entailssym}}         % the |- symbol

\newcommand{\notentailssym}{\printsavewidth{{\vdash}}\hspace{-0.9\zzskipwidthlen}\mathcolor{dRed}{\text{\tt /}}\hspace{0.1\zzskipwidthlen}}
\newcommand{\notentails}{\mathrel{\notentailssym}}         % slashed |- symbol
\newcommand{\lnotentails}{{\notentailssym}\;}         % slashed |- symbol
\newcommand{\Entails}{\models\,}      % the |= symbol

\newcommand{\aeq}{=_\alpha}
\newcommand{\beq}{=_\beta}

\newcommand{\diff}{\mathrel{\setminus}}
\newcommand{\pfn}{\mathrel{\rightharpoonup}}   % partial-function arrow

\newcommand{\xFV}{\mathit{FV}}
\newcommand{\FV}[1]{\xFV(#1)}

\newcommand{\sembr}[1]{\llbracket #1 \rrbracket}   % ``semantics'' brackets


%
%
% Terser versions of array and tabular, with particular, tightly-spaced arguments
%
%

\newcommand{\arrayenv}[1]{\renewcommand{\arraystretch}{1} \begin{array}[t]{@{}c@{}}#1\end{array}}
\newcommand{\arrayenvc}[1]{\renewcommand{\arraystretch}{1} \begin{array}[c]{@{}c@{}}#1\end{array}}
\newcommand{\arrayenvcl}[1]{\renewcommand{\arraystretch}{1} \begin{array}[c]{@{}l@{}}#1\end{array}}
\newcommand{\arrayenvr}[1]{\renewcommand{\arraystretch}{1} \begin{array}[t]{@{}r@{}}#1\end{array}}
\newcommand{\arrayenvbr}[1]{\renewcommand{\arraystretch}{1} \begin{array}[b]{@{}r@{}}#1\end{array}}
\newcommand{\arrayenvl}[1]{\renewcommand{\arraystretch}{1} \begin{array}[t]{@{}l@{}}#1\end{array}}
\newcommand{\arrayenvb}[1]{\renewcommand{\arraystretch}{1}  \begin{array}[b]{@{}c@{}}#1\end{array}} 
\newcommand{\arrayenvbl}[1]{\renewcommand{\arraystretch}{1}  \begin{array}[b]{@{}l@{}}#1\end{array}}
\newcommand{\arrayenvblll}[1]{\renewcommand{\arraystretch}{1}  \begin{array}[b]{@{}lll@{}}#1\end{array}}
\newcommand{\pfarr}[1]{\begin{array}[b]{@{}l@{}}#1\end{array}}

\newcommand{\tabularenv}[1]{\renewcommand{\arraystretch}{1} \begin{tabular}[t]{@{}c@{}}#1\end{tabular}}
\newcommand{\tabularenvc}[1]{\renewcommand{\arraystretch}{1} \begin{tabular}[c]{@{}c@{}}#1\end{tabular}}
\newcommand{\tabularenvcl}[1]{\renewcommand{\arraystretch}{1} \begin{tabular}[c]{@{}l@{}}#1\end{tabular}}
\newcommand{\tabularenvr}[1]{\renewcommand{\arraystretch}{1} \begin{tabular}[t]{@{}r@{}}#1\end{tabular}}
\newcommand{\tabularenvbr}[1]{\renewcommand{\arraystretch}{1} \begin{tabular}[b]{@{}r@{}}#1\end{tabular}}
\newcommand{\tabularenvl}[1]{\renewcommand{\arraystretch}{1} \begin{tabular}[t]{@{}l@{}}#1\end{tabular}}
\newcommand{\tabularenvb}[1]{\renewcommand{\arraystretch}{1}  \begin{tabular}[b]{@{}c@{}}#1\end{tabular}} 
\newcommand{\tabularenvbl}[1]{\renewcommand{\arraystretch}{1}  \begin{tabular}[b]{@{}l@{}}#1\end{tabular}}
\newcommand{\tabularenvblll}[1]{\renewcommand{\arraystretch}{1}  \begin{tabular}[b]{@{}lll@{}}#1\end{tabular}}



%
% Various formatting: 
%
%    `displ' for displayed text,
%    `mathdispl' for displayed mathpar,
%    `rclll' for equations (with extra left-aligned columns),
%    `grammar' for BNF.
%

\newenvironment{displ}{\vspace{1pt} \begin{center} ~\!\!}{\end{center}}
\newcommand{\vertcenter}[1]{\begin{tabular}{@{}c@{}}#1\end{tabular}}

\newenvironment{rclll}{\vspace{1pt} \begin{center} ~\!\!\begin{array}[t]{@{}r@{~~}c@{~~}l@{}l@{}l@{}}}{\end{array}\end{center}}
\newenvironment{grammar}{\vspace{1pt} \begin{center} ~\!\!\begin{tabular}[t]{@{}lr@{~~}c@{~~}lll@{}}}{\end{tabular}\end{center}}


% \newenvironment{mathdispl}{\begin{displ}~$\begin{mathpar} ~\!\!}{\end{mathpar}$\end{displ}}
\newenvironment{mathdispl}{\begin{mathpar}}{\end{mathpar}\ignorespacesafterend}

% \RequirePackage{environ}
% \NewEnviron{mathdispl}{%
%     \begin{mathpar}
%         \BODY
%     \end{mathpar}
% }


\newcommand{\parasection}[1]{\paragraph*{#1.}}


%
% Letters
%

\newcommand{\Cee}{\mathcal{C}}
\newcommand{\Dee}{\mathcal{D}}
\newcommand{\E}{\mathcal{E}}
\newcommand{\Judg}{\mathcal{J}}



%
% Miscellaneous
%

\newcommand{\hole}{\ensuremath{[\,]}}

\newcommand{\Hand}{\text{\Pointinghand~~~~}}

\newlength\zzskipwidthlen
\newcommand{\skipwidth}[1]{\settowidth{\zzskipwidthlen}{\ensuremath{#1}}\hspace{\zzskipwidthlen}}
\newcommand{\printsavewidth}[1]{\settowidth{\zzskipwidthlen}{\ensuremath{#1}}#1}
\newcommand{\skipsavedwidth}{\hspace{\zzskipwidthlen}}

\newcommand{\raiseline}[1]{\raisebox{2.5ex}[0pt]{#1}}
\newcommand{\raisehalf}[1]{\raisebox{1.2ex}[0pt]{#1}}
\newcommand{\drophalf}[1]{\raisebox{-1.2ex}[0pt]{#1}}
\newcommand{\dropline}[1]{\raisebox{-2.5ex}[0pt]{#1}}
\newcommand{\ghostbox}[1]{\raisebox{0pt}[0pt][0pt]{#1}}


%
% Better (to me) inference rules.
%
% \Infer:
%
%   -- takes three arguments, not two, which forces you to either give the rule
%      a name (try to give your rules names, and I mean actual names, not
%      random numbers), or at least to write {} for the name, which reminds you
%      that you aren't giving the rule a name and you should probably fix that.
%      (Every rule name should have its own macro, preferably with rulelinks.sty.)
%
%   -- places the rule name to the right (which forces more space between
%      rules, which I think is more readable, at the cost of discouraging long
%      rule names);
%
%   -- adds \strut/\mathstrut, making line heights consistent, so
%
%         \Infer{}
%              {}
%              {e : \tau}  % lowercase that nearly touches the horizontal line
%
%      doesn't look strange next to
%
%         \Infer{}
%             {\text{UPPERCASE}}
%             {\text{USING ENTIRE LINE HEIGHT}}
%

\newcommand{\rulename}[1]{\texttt{#1}}
\def \TirNameStyle #1{\rulename{#1}}
\newcommand{\Infer}[3]{\inferrule*[right={\text{\strut#1}}]{{}#2\mathstrut}{{}#3\mathstrut}}

%
% Inside a mathpar, I sometimes want to include some text, like
%
%   ``no intro rule for $\botty$''
%
% I'd like this to be centred, but mathpar bottom-aligns each row of rules.
% Thus, use \centerruleplaceholder.  For example:
%
% \centerruleplaceholder{
%     \Infer{foo}
%         {\text{Some rule}}
%         {\text{that will appear next to your text}}
% }{
%     Some text, in which you may include
%     \\
%     line breaks
%     \\
%     to keep the width from getting out of control
% }

\newcommand{\centerruleplaceholder}[2]{%
   \text{%
     \begin{tabular}[c]{c}
         \ensuremath{#1}
     \end{tabular}
     ~~~~
     \begin{tabular}[c]{l}
         #2
     \end{tabular}
   }%
}

% failed attempt:
\newcommand{\centerplaceholder}[1]{%
   \text{%
     \begin{tabular}[t]{c}
         #1
     \end{tabular}
   }%
}

%
% ``Judgment boxes'' that should precede a mathpar, so the reader
% can instantly see which judgment is being defined by the rules.
%
% The first argument is the judgment form.
% The second argument tells the reader how to interpret the judgment.
% I don't mean *what* the judgment is, but literally how to *say* it:
% If you're defining \Gamma \entails e : \tau, don't write
%
%   \judgbox{\Gamma \entails e : \tau}{Typing}
%
% Instead, write
%
%   \judgbox{\Gamma \entails e : \tau}
%           {Under context $\Gamma$, expression $e$ has type $\tau$}
%
% This tells the reader what the judgment is supposed to mean.  It's also
% an opportunity to remind the reader what your metavariables (like $e$)
% stand for.  The reader doesn't know your system as well as you do,
% and will lose track of all the kinds of animals you have in your zoo.
%
% For less familiar judgments than typing, this is even more important.
% 

\ifnum\OPTIONConf=1
  \newcommand{\judgboxfontsize}[1]{\mathsz{9pt}{#1}}
\else
  \newcommand{\judgboxfontsize}[1]{\mathsz{12pt}{#1}}
\fi

\newcommand{\judgbox}[2]{%
      %% {\raggedright \textgraybox{\ensuremath{\judgboxfontsize{#1}}}\!\begin{tabular}[c]{l} #2 \end{tabular} %
      %% \ifnum\OPTIONConf=1 \\[-1.5ex] \else \\[-1.8ex] \fi%
      {\raggedright \textgraybox{\ensuremath{\judgboxfontsize{#1}}}\!\begin{tabular}[c]{l}\hspace{0.03in} #2 \end{tabular} %
      \ifnum\OPTIONConf=1 \\[-1.0ex] \else \\[-1.8ex] \fi%
}}

% Horribly named variants of \judgbox.  The \judgbox spacing is supposed
% to be tuned for a following mathpar.  But sometimes I define
% a judgment via equations, or something else, and the violent negative space
% that I like for mathpar leads to disaster.
%
% Use \judgboxa when you are about to use \[ ... \].
%
% Use \judgboxx when you are about to write an ordinary paragraph.
%
\newcommand{\judgboxa}[2]{%
      {\raggedright \textgraybox{\judgboxfontsize{\ensuremath{#1}}}\!\begin{tabular}[c]{l} #2 \end{tabular} %
      \ifnum\OPTIONConf=1 \\[-1.3ex] \else \\[-1.0ex] \fi%
}}
\newcommand{\judgboxx}[2]{%
      {\raggedright \textgraybox{\judgboxfontsize{\ensuremath{#1}}}\!\begin{tabular}[c]{l} #2 \end{tabular} %
      \ifnum\OPTIONConf=1 \\[0.3ex] \else \\[0.6ex] \fi%
}}

%
% Variant with another box, *after* the description, intended for a
% Twelf expression.
%
\newcommand{\judgboxtwelf}[3]{%
      {\raggedright \textgraybox{\judgboxfontsize{\ensuremath{#1}}}\!\begin{tabular}[c]{l} #2 \end{tabular} %
      \!\!\textgraybox{\fontsz{8pt}{#3}}%
      \ifnum\OPTIONConf=1 \\[3pt] \else \\[6pt] \fi%
}}




%
% Showing derivations and other things in proofs.
% These macros assume you use an `itemize' or `enumerate' environment
% to list the cases of a proof.
%

\newcommand{\ProofCaseRule}[1]{\item \textbf{Case }\textrm{{#1}}: ~ }
\newcommand{\ProofCaseThing}[1]{\ProofCaseRule{\ensuremath{#1}}}
\newcommand{\ProofCasesRules}[1]{\item \textbf{Cases }\textrm{{#1}}: ~ }
\newcommand{\ProofCaseRuleNoColon}[1]{\item \textbf{Case }\textrm{{#1}}}

\gdef\xxDerivationProofCaseColor{N}
\newcommand{\Begincolorcases}[1]{\gdef\xxDerivationProofCaseColor{#1}}
\newcommand{\Endcolorcases}{\gdef\xxDerivationProofCaseColor{N}}

%\newcommand{\DerivationProofCase}[3]{%
%     \medskip
%     \begin{samepage}
%     \nopagebreak
%     \item %
%       \parbox[t]{100ex}{%
%       \textbf{Case } \\[-0.95em]
%       $~$\hspace{5ex}
%       \if\xxDerivationProofCaseColor N%
%           \ensuremath{%
%              \Infer{#1}{#2}{#3}%
%            }
%       \else%
%           \colorbox{\xxDerivationProofCaseColor}{%
%              \ensuremath{%
%                \Infer{#1}{#2}{#3}%
%              }%
%           }%
%        \fi%
%     }%
%     \end{samepage}
%     \nopagebreak \\[-2ex]
%  }
\newcommand{\DerivationProofCase}[3]{%
     \smallskip
     \item %
       \parbox[t]{100ex}{%
       \textbf{Case } \\[-0.5em]
       $~$\hspace{5ex}
       \if\xxDerivationProofCaseColor N%
           \ensuremath{%
              \Infer{#1}{#2}{#3}%
            }
       \else%
           \colorbox{\xxDerivationProofCaseColor}{%
              \ensuremath{%
                \Infer{#1}{#2}{#3}%
              }%
           }%
        \fi%
     }%
     \nopagebreak \\[0.2ex]
  }

\newcommand{\DoubleDerivationProofCase}[6]{%
     \smallskip
     \item %
       \parbox[t]{100ex}{%
       \textbf{Case } \\[-0.5em]
       $~$\hspace{5ex}
       \if\xxDerivationProofCaseColor N%
           \ensuremath{%
              \Infer{#1}{#2}{#3}%
              ~~~~~
              \Infer{#4}{#5}{#6}%
            }
       \else%
           \colorbox{\xxDerivationProofCaseColor}{%
              \ensuremath{%
                \Infer{#1}{#2}{#3}%
                ~~~~~
                \Infer{#4}{#5}{#6}%
              }%
           }%
        \fi%
     }%
     \nopagebreak \\[-0.8ex]
  }