diff --git a/lib/texinputs/isabelle.sty b/lib/texinputs/isabelle.sty
--- a/lib/texinputs/isabelle.sty
+++ b/lib/texinputs/isabelle.sty
@@ -1,300 +1,297 @@
 %%
 %% macros for Isabelle generated LaTeX output
 %%
 
 %%% Simple document preparation (based on theory token language and symbols)
 
 % isabelle environments
 
 \newcommand{\isabellecontext}{UNKNOWN}
 \newcommand{\setisabellecontext}[1]{\def\isabellecontext{#1}}
 
 \newcommand{\isastyle}{\UNDEF}
 \newcommand{\isastylett}{\UNDEF}
 \newcommand{\isastyleminor}{\UNDEF}
 \newcommand{\isastyleminortt}{\UNDEF}
 \newcommand{\isastylescript}{\UNDEF}
 \newcommand{\isastyletext}{\normalsize\normalfont\rmfamily}
 \newcommand{\isastyletxt}{\normalfont\rmfamily}
 \newcommand{\isastylecmt}{\normalfont\rmfamily}
 
 \newcommand{\isaspacing}{%
   \sfcode 42 1000 % .
   \sfcode 63 1000 % ?
   \sfcode 33 1000 % !
   \sfcode 58 1000 % :
   \sfcode 59 1000 % ;
   \sfcode 44 1000 % ,
 }
 
 %symbol markup -- \emph achieves decent spacing via italic corrections
 \newcommand{\isamath}[1]{\emph{$#1$}}
 \newcommand{\isatext}[1]{\emph{#1}}
 \DeclareRobustCommand{\isascriptstyle}{\def\isamath##1{##1}\def\isatext##1{\mbox{\isaspacing\isastylescript##1}}}
 \newcommand{\isactrlsub}[1]{\emph{\isascriptstyle${}\sb{#1}$}}
 \newcommand{\isactrlsup}[1]{\emph{\isascriptstyle${}\sp{#1}$}}
 \DeclareRobustCommand{\isactrlbsub}{\emph\bgroup\math{}\sb\bgroup\mbox\bgroup\isaspacing\isastylescript}
 \DeclareRobustCommand{\isactrlesub}{\egroup\egroup\endmath\egroup}
 \DeclareRobustCommand{\isactrlbsup}{\emph\bgroup\math{}\sp\bgroup\mbox\bgroup\isaspacing\isastylescript}
 \DeclareRobustCommand{\isactrlesup}{\egroup\egroup\endmath\egroup}
 \newcommand{\isactrlbold}[1]{{\bfseries\upshape\boldmath#1}}
 
 %blackboard-bold (requires font txmia from pxfonts)
 \DeclareSymbolFont{bbbfont}{U}{txmia}{m}{it}
 \SetSymbolFont{bbbfont}{bold}{U}{txmia}{bx}{it}
 \DeclareMathSymbol{\bbbA}{\mathord}{bbbfont}{129}
 \DeclareMathSymbol{\bbbB}{\mathord}{bbbfont}{130}
 \DeclareMathSymbol{\bbbC}{\mathord}{bbbfont}{131}
 \DeclareMathSymbol{\bbbD}{\mathord}{bbbfont}{132}
 \DeclareMathSymbol{\bbbE}{\mathord}{bbbfont}{133}
 \DeclareMathSymbol{\bbbF}{\mathord}{bbbfont}{134}
 \DeclareMathSymbol{\bbbG}{\mathord}{bbbfont}{135}
 \DeclareMathSymbol{\bbbH}{\mathord}{bbbfont}{136}
 \DeclareMathSymbol{\bbbI}{\mathord}{bbbfont}{137}
 \DeclareMathSymbol{\bbbJ}{\mathord}{bbbfont}{138}
 \DeclareMathSymbol{\bbbK}{\mathord}{bbbfont}{139}
 \DeclareMathSymbol{\bbbL}{\mathord}{bbbfont}{140}
 \DeclareMathSymbol{\bbbM}{\mathord}{bbbfont}{141}
 \DeclareMathSymbol{\bbbN}{\mathord}{bbbfont}{142}
 \DeclareMathSymbol{\bbbO}{\mathord}{bbbfont}{143}
 \DeclareMathSymbol{\bbbP}{\mathord}{bbbfont}{144}
 \DeclareMathSymbol{\bbbQ}{\mathord}{bbbfont}{145}
 \DeclareMathSymbol{\bbbR}{\mathord}{bbbfont}{146}
 \DeclareMathSymbol{\bbbS}{\mathord}{bbbfont}{147}
 \DeclareMathSymbol{\bbbT}{\mathord}{bbbfont}{148}
 \DeclareMathSymbol{\bbbU}{\mathord}{bbbfont}{149}
 \DeclareMathSymbol{\bbbV}{\mathord}{bbbfont}{150}
 \DeclareMathSymbol{\bbbW}{\mathord}{bbbfont}{151}
 \DeclareMathSymbol{\bbbX}{\mathord}{bbbfont}{152}
 \DeclareMathSymbol{\bbbY}{\mathord}{bbbfont}{153}
 \DeclareMathSymbol{\bbbZ}{\mathord}{bbbfont}{154}
-\newcommand{\checkbbbfont}{{%
-\setbox\@tempboxa=\hbox{$\bbbA$}%
-\ifdim\wd\@tempboxa=\z@\PackageError{isabelle/pxfonts}{Missing font txmia}{}\fi}}
 
 \newenvironment{isaantiq}{{\isacharat\isacharbraceleft}}{{\isacharbraceright}}
 
 \newdimen\isa@parindent\newdimen\isa@parskip
 
 \newenvironment{isabellebody}{%
 \isamarkuptrue\par%
 \isa@parindent\parindent\parindent0pt%
 \isa@parskip\parskip\parskip0pt%
 \isaspacing\isastyle}{\par}
 
 \newenvironment{isabellebodytt}{%
 \isamarkuptrue\par%
 \isa@parindent\parindent\parindent0pt%
 \isa@parskip\parskip\parskip0pt%
 \isaspacing\isastylett}{\par}
 
 \newenvironment{isabelle}
 {\begin{trivlist}\begin{isabellebody}\item\relax}
 {\end{isabellebody}\end{trivlist}}
 
 \newenvironment{isabellett}
 {\begin{trivlist}\begin{isabellebodytt}\item\relax}
 {\end{isabellebodytt}\end{trivlist}}
 
 \newcommand{\isa}[1]{\emph{\isaspacing\isastyleminor #1}}
 \newcommand{\isatt}[1]{\emph{\isaspacing\isastyleminortt #1}}
 
 \newcommand{\isaindent}[1]{\hphantom{#1}}
 \newcommand{\isanewline}{\mbox{}\par\mbox{}}
 \newcommand{\isasep}{}
 \newcommand{\isadigit}[1]{#1}
 
 \newcommand{\isachardefaults}{%
 \def\isacharbell{\isamath{\bigbox}}%requires stmaryrd
 \chardef\isacharbang=`\!%
 \chardef\isachardoublequote=`\"%
 \chardef\isachardoublequoteopen=`\"%
 \chardef\isachardoublequoteclose=`\"%
 \chardef\isacharhash=`\#%
 \chardef\isachardollar=`\$%
 \chardef\isacharpercent=`\%%
 \chardef\isacharampersand=`\&%
 \chardef\isacharprime=`\'%
 \chardef\isacharparenleft=`\(%
 \chardef\isacharparenright=`\)%
 \chardef\isacharasterisk=`\*%
 \chardef\isacharplus=`\+%
 \chardef\isacharcomma=`\,%
 \chardef\isacharminus=`\-%
 \chardef\isachardot=`\.%
 \chardef\isacharslash=`\/%
 \chardef\isacharcolon=`\:%
 \chardef\isacharsemicolon=`\;%
 \chardef\isacharless=`\<%
 \chardef\isacharequal=`\=%
 \chardef\isachargreater=`\>%
 \chardef\isacharquery=`\?%
 \chardef\isacharat=`\@%
 \chardef\isacharbrackleft=`\[%
 \chardef\isacharbackslash=`\\%
 \chardef\isacharbrackright=`\]%
 \chardef\isacharcircum=`\^%
 \chardef\isacharunderscore=`\_%
 \def\isacharunderscorekeyword{\_}%
 \chardef\isacharbackquote=`\`%
 \chardef\isacharbackquoteopen=`\`%
 \chardef\isacharbackquoteclose=`\`%
 \chardef\isacharbraceleft=`\{%
 \chardef\isacharbar=`\|%
 \chardef\isacharbraceright=`\}%
 \chardef\isachartilde=`\~%
 \def\isacharverbatimopen{\isacharbraceleft\isacharasterisk}%
 \def\isacharverbatimclose{\isacharasterisk\isacharbraceright}%
 \def\isacartoucheopen{\isatext{\guilsinglleft}}%
 \def\isacartoucheclose{\isatext{\guilsinglright}}%
 }
 
 
 % keyword and section markup
 
 \newcommand{\isakeyword}[1]
 {\emph{\normalfont\bfseries\def\isachardot{.}\def\isacharunderscore{\isacharunderscorekeyword}%
 \def\isacharbraceleft{\{}\def\isacharbraceright{\}}#1}}
 \newcommand{\isacommand}[1]{\isakeyword{#1}}
 
 \newcommand{\isakeywordcontrol}[1]
 {\emph{\normalfont\bfseries\itshape\def\isacharunderscore{\isacharunderscorekeyword}#1\,}}
 
 \newcommand{\isamarkupchapter}[1]{\chapter{#1}}
 \newcommand{\isamarkupsection}[1]{\section{#1}}
 \newcommand{\isamarkupsubsection}[1]{\subsection{#1}}
 \newcommand{\isamarkupsubsubsection}[1]{\subsubsection{#1}}
 \newcommand{\isamarkupparagraph}[1]{\paragraph{#1}}
 \newcommand{\isamarkupsubparagraph}[1]{\subparagraph{#1}}
 
 \newif\ifisamarkup
 \newcommand{\isabeginpar}{\par\ifisamarkup\relax\else\medskip\fi}
 \newcommand{\isaendpar}{\par\medskip}
 \newenvironment{isapar}{\parindent\isa@parindent\parskip\isa@parskip\isabeginpar}{\isaendpar}
 \newenvironment{isamarkuptext}{\par\isastyletext\begin{isapar}}{\end{isapar}}
 \newenvironment{isamarkuptxt}{\par\isastyletxt\begin{isapar}}{\end{isapar}}
 \newcommand{\isamarkupcmt}[1]{{\isastylecmt--- #1}}
 
 
 % styles
 
 \def\isabellestyle#1{\csname isabellestyle#1\endcsname}
 
 \newcommand{\isabellestyledefault}{%
 \def\isastyle{\small\normalfont\ttfamily\slshape}%
 \def\isastylett{\small\normalfont\ttfamily}%
 \def\isastyleminor{\small\normalfont\ttfamily\slshape}%
 \def\isastyleminortt{\small\normalfont\ttfamily}%
 \def\isastylescript{\footnotesize\normalfont\ttfamily\slshape}%
 \isachardefaults%
 }
 \isabellestyledefault
 
 \newcommand{\isabellestylett}{%
 \def\isastyle{\small\normalfont\ttfamily}%
 \def\isastylett{\small\normalfont\ttfamily}%
 \def\isastyleminor{\small\normalfont\ttfamily}%
 \def\isastyleminortt{\small\normalfont\ttfamily}%
 \def\isastylescript{\footnotesize\normalfont\ttfamily}%
 \isachardefaults%
 }
 
 \newcommand{\isabellestyleit}{%
 \def\isastyle{\small\normalfont\itshape}%
 \def\isastylett{\small\normalfont\ttfamily}%
 \def\isastyleminor{\normalfont\itshape}%
 \def\isastyleminortt{\normalfont\ttfamily}%
 \def\isastylescript{\footnotesize\normalfont\itshape}%
 \isachardefaults%
 \def\isacharunderscorekeyword{\mbox{-}}%
 \def\isacharbang{\isamath{!}}%
 \def\isachardoublequote{}%
 \def\isachardoublequoteopen{}%
 \def\isachardoublequoteclose{}%
 \def\isacharhash{\isamath{\#}}%
 \def\isachardollar{\isamath{\$}}%
 \def\isacharpercent{\isamath{\%}}%
 \def\isacharampersand{\isamath{\&}}%
 \def\isacharprime{\isamath{\mskip2mu{'}\mskip-2mu}}%
 \def\isacharparenleft{\isamath{(}}%
 \def\isacharparenright{\isamath{)}}%
 \def\isacharasterisk{\isamath{*}}%
 \def\isacharplus{\isamath{+}}%
 \def\isacharcomma{\isamath{\mathord,}}%
 \def\isacharminus{\isamath{-}}%
 \def\isachardot{\isamath{\mathord.}}%
 \def\isacharslash{\isamath{/}}%
 \def\isacharcolon{\isamath{\mathord:}}%
 \def\isacharsemicolon{\isamath{\mathord;}}%
 \def\isacharless{\isamath{<}}%
 \def\isacharequal{\isamath{=}}%
 \def\isachargreater{\isamath{>}}%
 \def\isacharat{\isamath{@}}%
 \def\isacharbrackleft{\isamath{[}}%
 \def\isacharbackslash{\isamath{\backslash}}%
 \def\isacharbrackright{\isamath{]}}%
 \def\isacharunderscore{\mbox{-}}%
 \def\isacharbraceleft{\isamath{\{}}%
 \def\isacharbar{\isamath{\mid}}%
 \def\isacharbraceright{\isamath{\}}}%
 \def\isachartilde{\isamath{{}\sp{\sim}}}%
 \def\isacharbackquoteopen{\isatext{\guilsinglleft}}%
 \def\isacharbackquoteclose{\isatext{\guilsinglright}}%
 }
 
 \newcommand{\isabellestyleliteral}{%
 \isabellestyleit%
 \def\isacharunderscore{\_}%
 \def\isacharunderscorekeyword{\_}%
 \chardef\isacharbackquoteopen=`\`%
 \chardef\isacharbackquoteclose=`\`%
 }
 
 \newcommand{\isabellestyleliteralunderscore}{%
 \isabellestyleliteral%
 \def\isacharunderscore{\textunderscore}%
 \def\isacharunderscorekeyword{\textunderscore}%
 }
 
 \newcommand{\isabellestylesl}{%
 \isabellestyleit%
 \def\isastyle{\small\normalfont\slshape}%
 \def\isastylett{\small\normalfont\ttfamily}%
 \def\isastyleminor{\normalfont\slshape}%
 \def\isastyleminortt{\normalfont\ttfamily}%
 \def\isastylescript{\footnotesize\normalfont\slshape}%
 }
 
 
 % cancel text
 
 \usepackage[normalem]{ulem}
 \newcommand{\isamarkupcancel}[1]{\isa{\xout{#1}}}
 
 
 % tagged regions
 
 %plain TeX version of comment package -- much faster!
 \let\isafmtname\fmtname\def\fmtname{plain}
 \usepackage{comment}
 \let\fmtname\isafmtname
 
 \newcommand{\isafold}[1]{\emph{$\langle\mathord{\mathit{#1}}\rangle$}}
 
 \newcommand{\isakeeptag}[1]%
 {\includecomment{isadelim#1}\includecomment{isatag#1}\csarg\def{isafold#1}{}}
 \newcommand{\isadroptag}[1]%
 {\excludecomment{isadelim#1}\excludecomment{isatag#1}\csarg\def{isafold#1}{}}
 \newcommand{\isafoldtag}[1]%
 {\includecomment{isadelim#1}\excludecomment{isatag#1}\csarg\def{isafold#1}{\isafold{#1}}}
 
 \isakeeptag{document}
 \isakeeptag{theory}
 \isakeeptag{proof}
 \isakeeptag{ML}
 \isakeeptag{visible}
 \isadroptag{invisible}
 \isakeeptag{important}
 \isakeeptag{unimportant}
 
 \IfFileExists{isabelletags.sty}{\usepackage{isabelletags}}{}
diff --git a/lib/texinputs/isabellesym.sty b/lib/texinputs/isabellesym.sty
--- a/lib/texinputs/isabellesym.sty
+++ b/lib/texinputs/isabellesym.sty
@@ -1,479 +1,479 @@
 %%
 %% definitions of standard Isabelle symbols
 %%
 
 \newcommand{\isasymzero}{\isamath{\mathbf{0}}}  %requires amssymb
 \newcommand{\isasymone}{\isamath{\mathbf{1}}}  %requires amssymb
 \newcommand{\isasymtwo}{\isamath{\mathbf{2}}}  %requires amssymb
 \newcommand{\isasymthree}{\isamath{\mathbf{3}}}  %requires amssymb
 \newcommand{\isasymfour}{\isamath{\mathbf{4}}}  %requires amssymb
 \newcommand{\isasymfive}{\isamath{\mathbf{5}}}  %requires amssymb
 \newcommand{\isasymsix}{\isamath{\mathbf{6}}}  %requires amssymb
 \newcommand{\isasymseven}{\isamath{\mathbf{7}}}  %requires amssymb
 \newcommand{\isasymeight}{\isamath{\mathbf{8}}}  %requires amssymb
 \newcommand{\isasymnine}{\isamath{\mathbf{9}}}  %requires amssymb
 \newcommand{\isasymA}{\isamath{\mathcal{A}}}
 \newcommand{\isasymB}{\isamath{\mathcal{B}}}
 \newcommand{\isasymC}{\isamath{\mathcal{C}}}
 \newcommand{\isasymD}{\isamath{\mathcal{D}}}
 \newcommand{\isasymE}{\isamath{\mathcal{E}}}
 \newcommand{\isasymF}{\isamath{\mathcal{F}}}
 \newcommand{\isasymG}{\isamath{\mathcal{G}}}
 \newcommand{\isasymH}{\isamath{\mathcal{H}}}
 \newcommand{\isasymI}{\isamath{\mathcal{I}}}
 \newcommand{\isasymJ}{\isamath{\mathcal{J}}}
 \newcommand{\isasymK}{\isamath{\mathcal{K}}}
 \newcommand{\isasymL}{\isamath{\mathcal{L}}}
 \newcommand{\isasymM}{\isamath{\mathcal{M}}}
 \newcommand{\isasymN}{\isamath{\mathcal{N}}}
 \newcommand{\isasymO}{\isamath{\mathcal{O}}}
 \newcommand{\isasymP}{\isamath{\mathcal{P}}}
 \newcommand{\isasymQ}{\isamath{\mathcal{Q}}}
 \newcommand{\isasymR}{\isamath{\mathcal{R}}}
 \newcommand{\isasymS}{\isamath{\mathcal{S}}}
 \newcommand{\isasymT}{\isamath{\mathcal{T}}}
 \newcommand{\isasymU}{\isamath{\mathcal{U}}}
 \newcommand{\isasymV}{\isamath{\mathcal{V}}}
 \newcommand{\isasymW}{\isamath{\mathcal{W}}}
 \newcommand{\isasymX}{\isamath{\mathcal{X}}}
 \newcommand{\isasymY}{\isamath{\mathcal{Y}}}
 \newcommand{\isasymZ}{\isamath{\mathcal{Z}}}
 \newcommand{\isasyma}{\isamath{\mathrm{a}}}
 \newcommand{\isasymb}{\isamath{\mathrm{b}}}
 \newcommand{\isasymc}{\isamath{\mathrm{c}}}
 \newcommand{\isasymd}{\isamath{\mathrm{d}}}
 \newcommand{\isasyme}{\isamath{\mathrm{e}}}
 \newcommand{\isasymf}{\isamath{\mathrm{f}}}
 \newcommand{\isasymg}{\isamath{\mathrm{g}}}
 \newcommand{\isasymh}{\isamath{\mathrm{h}}}
 \newcommand{\isasymi}{\isamath{\mathrm{i}}}
 \newcommand{\isasymj}{\isamath{\mathrm{j}}}
 \newcommand{\isasymk}{\isamath{\mathrm{k}}}
 \newcommand{\isasyml}{\isamath{\mathrm{l}}}
 \newcommand{\isasymm}{\isamath{\mathrm{m}}}
 \newcommand{\isasymn}{\isamath{\mathrm{n}}}
 \newcommand{\isasymo}{\isamath{\mathrm{o}}}
 \newcommand{\isasymp}{\isamath{\mathrm{p}}}
 \newcommand{\isasymq}{\isamath{\mathrm{q}}}
 \newcommand{\isasymr}{\isamath{\mathrm{r}}}
 \newcommand{\isasyms}{\isamath{\mathrm{s}}}
 \newcommand{\isasymt}{\isamath{\mathrm{t}}}
 \newcommand{\isasymu}{\isamath{\mathrm{u}}}
 \newcommand{\isasymv}{\isamath{\mathrm{v}}}
 \newcommand{\isasymw}{\isamath{\mathrm{w}}}
 \newcommand{\isasymx}{\isamath{\mathrm{x}}}
 \newcommand{\isasymy}{\isamath{\mathrm{y}}}
 \newcommand{\isasymz}{\isamath{\mathrm{z}}}
 \newcommand{\isasymAA}{\isamath{\mathfrak{A}}}  %requires eufrak
 \newcommand{\isasymBB}{\isamath{\mathfrak{B}}}  %requires eufrak
 \newcommand{\isasymCC}{\isamath{\mathfrak{C}}}  %requires eufrak
 \newcommand{\isasymDD}{\isamath{\mathfrak{D}}}  %requires eufrak
 \newcommand{\isasymEE}{\isamath{\mathfrak{E}}}  %requires eufrak
 \newcommand{\isasymFF}{\isamath{\mathfrak{F}}}  %requires eufrak
 \newcommand{\isasymGG}{\isamath{\mathfrak{G}}}  %requires eufrak
 \newcommand{\isasymHH}{\isamath{\mathfrak{H}}}  %requires eufrak
 \newcommand{\isasymII}{\isamath{\mathfrak{I}}}  %requires eufrak
 \newcommand{\isasymJJ}{\isamath{\mathfrak{J}}}  %requires eufrak
 \newcommand{\isasymKK}{\isamath{\mathfrak{K}}}  %requires eufrak
 \newcommand{\isasymLL}{\isamath{\mathfrak{L}}}  %requires eufrak
 \newcommand{\isasymMM}{\isamath{\mathfrak{M}}}  %requires eufrak
 \newcommand{\isasymNN}{\isamath{\mathfrak{N}}}  %requires eufrak
 \newcommand{\isasymOO}{\isamath{\mathfrak{O}}}  %requires eufrak
 \newcommand{\isasymPP}{\isamath{\mathfrak{P}}}  %requires eufrak
 \newcommand{\isasymQQ}{\isamath{\mathfrak{Q}}}  %requires eufrak
 \newcommand{\isasymRR}{\isamath{\mathfrak{R}}}  %requires eufrak
 \newcommand{\isasymSS}{\isamath{\mathfrak{S}}}  %requires eufrak
 \newcommand{\isasymTT}{\isamath{\mathfrak{T}}}  %requires eufrak
 \newcommand{\isasymUU}{\isamath{\mathfrak{U}}}  %requires eufrak
 \newcommand{\isasymVV}{\isamath{\mathfrak{V}}}  %requires eufrak
 \newcommand{\isasymWW}{\isamath{\mathfrak{W}}}  %requires eufrak
 \newcommand{\isasymXX}{\isamath{\mathfrak{X}}}  %requires eufrak
 \newcommand{\isasymYY}{\isamath{\mathfrak{Y}}}  %requires eufrak
 \newcommand{\isasymZZ}{\isamath{\mathfrak{Z}}}  %requires eufrak
 \newcommand{\isasymaa}{\isamath{\mathfrak{a}}}  %requires eufrak
 \newcommand{\isasymbb}{\isamath{\mathfrak{b}}}  %requires eufrak
 \newcommand{\isasymcc}{\isamath{\mathfrak{c}}}  %requires eufrak
 \newcommand{\isasymdd}{\isamath{\mathfrak{d}}}  %requires eufrak
 \newcommand{\isasymee}{\isamath{\mathfrak{e}}}  %requires eufrak
 \newcommand{\isasymff}{\isamath{\mathfrak{f}}}  %requires eufrak
 \newcommand{\isasymgg}{\isamath{\mathfrak{g}}}  %requires eufrak
 \newcommand{\isasymhh}{\isamath{\mathfrak{h}}}  %requires eufrak
 \newcommand{\isasymii}{\isamath{\mathfrak{i}}}  %requires eufrak
 \newcommand{\isasymjj}{\isamath{\mathfrak{j}}}  %requires eufrak
 \newcommand{\isasymkk}{\isamath{\mathfrak{k}}}  %requires eufrak
 \newcommand{\isasymll}{\isamath{\mathfrak{l}}}  %requires eufrak
 \newcommand{\isasymmm}{\isamath{\mathfrak{m}}}  %requires eufrak
 \newcommand{\isasymnn}{\isamath{\mathfrak{n}}}  %requires eufrak
 \newcommand{\isasymoo}{\isamath{\mathfrak{o}}}  %requires eufrak
 \newcommand{\isasympp}{\isamath{\mathfrak{p}}}  %requires eufrak
 \newcommand{\isasymqq}{\isamath{\mathfrak{q}}}  %requires eufrak
 \newcommand{\isasymrr}{\isamath{\mathfrak{r}}}  %requires eufrak
 \newcommand{\isasymss}{\isamath{\mathfrak{s}}}  %requires eufrak
 \newcommand{\isasymtt}{\isamath{\mathfrak{t}}}  %requires eufrak
 \newcommand{\isasymuu}{\isamath{\mathfrak{u}}}  %requires eufrak
 \newcommand{\isasymvv}{\isamath{\mathfrak{v}}}  %requires eufrak
 \newcommand{\isasymww}{\isamath{\mathfrak{w}}}  %requires eufrak
 \newcommand{\isasymxx}{\isamath{\mathfrak{x}}}  %requires eufrak
 \newcommand{\isasymyy}{\isamath{\mathfrak{y}}}  %requires eufrak
 \newcommand{\isasymzz}{\isamath{\mathfrak{z}}}  %requires eufrak
 \newcommand{\isasymalpha}{\isamath{\alpha}}
 \newcommand{\isasymbeta}{\isamath{\beta}}
 \newcommand{\isasymgamma}{\isamath{\gamma}}
 \newcommand{\isasymdelta}{\isamath{\delta}}
 \newcommand{\isasymepsilon}{\isamath{\varepsilon}}
 \newcommand{\isasymzeta}{\isamath{\zeta}}
 \newcommand{\isasymeta}{\isamath{\eta}}
 \newcommand{\isasymtheta}{\isamath{\vartheta}}
 \newcommand{\isasymiota}{\isamath{\iota}}
 \newcommand{\isasymkappa}{\isamath{\kappa}}
 \newcommand{\isasymlambda}{\isamath{\lambda}}
 \newcommand{\isasymmu}{\isamath{\mu}}
 \newcommand{\isasymnu}{\isamath{\nu}}
 \newcommand{\isasymxi}{\isamath{\xi}}
 \newcommand{\isasympi}{\isamath{\pi}}
 \newcommand{\isasymrho}{\isamath{\varrho}}
 \newcommand{\isasymsigma}{\isamath{\sigma}}
 \newcommand{\isasymtau}{\isamath{\tau}}
 \newcommand{\isasymupsilon}{\isamath{\upsilon}}
 \newcommand{\isasymphi}{\isamath{\varphi}}
 \newcommand{\isasymchi}{\isamath{\chi}}
 \newcommand{\isasympsi}{\isamath{\psi}}
 \newcommand{\isasymomega}{\isamath{\omega}}
 \newcommand{\isasymGamma}{\isamath{\Gamma}}
 \newcommand{\isasymDelta}{\isamath{\Delta}}
 \newcommand{\isasymTheta}{\isamath{\Theta}}
 \newcommand{\isasymLambda}{\isamath{\Lambda}}
 \newcommand{\isasymXi}{\isamath{\Xi}}
 \newcommand{\isasymPi}{\isamath{\Pi}}
 \newcommand{\isasymSigma}{\isamath{\Sigma}}
 \newcommand{\isasymUpsilon}{\isamath{\Upsilon}}
 \newcommand{\isasymPhi}{\isamath{\Phi}}
 \newcommand{\isasymPsi}{\isamath{\Psi}}
 \newcommand{\isasymOmega}{\isamath{\Omega}}
-\newcommand{\isasymbbbA}{\checkbbbfont\isamath{\bbbA}}  %requires font txmia from txfonts
-\newcommand{\isasymbool}{\checkbbbfont\isamath{\bbbB}}  %requires font txmia from txfonts
-\newcommand{\isasymcomplex}{\checkbbbfont\isamath{\bbbC}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbD}{\checkbbbfont\isamath{\bbbD}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbE}{\checkbbbfont\isamath{\bbbE}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbF}{\checkbbbfont\isamath{\bbbF}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbG}{\checkbbbfont\isamath{\bbbG}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbH}{\checkbbbfont\isamath{\bbbH}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbI}{\checkbbbfont\isamath{\bbbI}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbJ}{\checkbbbfont\isamath{\bbbJ}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbK}{\checkbbbfont\isamath{\bbbK}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbL}{\checkbbbfont\isamath{\bbbL}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbM}{\checkbbbfont\isamath{\bbbM}}  %requires font txmia from txfonts
-\newcommand{\isasymnat}{\checkbbbfont\isamath{\bbbN}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbO}{\checkbbbfont\isamath{\bbbO}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbP}{\checkbbbfont\isamath{\bbbP}}  %requires font txmia from txfonts
-\newcommand{\isasymrat}{\checkbbbfont\isamath{\bbbQ}}  %requires font txmia from txfonts
-\newcommand{\isasymreal}{\checkbbbfont\isamath{\bbbR}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbS}{\checkbbbfont\isamath{\bbbS}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbT}{\checkbbbfont\isamath{\bbbT}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbU}{\checkbbbfont\isamath{\bbbU}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbV}{\checkbbbfont\isamath{\bbbV}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbW}{\checkbbbfont\isamath{\bbbW}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbX}{\checkbbbfont\isamath{\bbbX}}  %requires font txmia from txfonts
-\newcommand{\isasymbbbY}{\checkbbbfont\isamath{\bbbY}}  %requires font txmia from txfonts
-\newcommand{\isasymint}{\checkbbbfont\isamath{\bbbZ}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbA}{\isamath{\bbbA}}  %requires font txmia from txfonts
+\newcommand{\isasymbool}{\isamath{\bbbB}}  %requires font txmia from txfonts
+\newcommand{\isasymcomplex}{\isamath{\bbbC}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbD}{\isamath{\bbbD}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbE}{\isamath{\bbbE}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbF}{\isamath{\bbbF}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbG}{\isamath{\bbbG}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbH}{\isamath{\bbbH}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbI}{\isamath{\bbbI}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbJ}{\isamath{\bbbJ}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbK}{\isamath{\bbbK}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbL}{\isamath{\bbbL}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbM}{\isamath{\bbbM}}  %requires font txmia from txfonts
+\newcommand{\isasymnat}{\isamath{\bbbN}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbO}{\isamath{\bbbO}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbP}{\isamath{\bbbP}}  %requires font txmia from txfonts
+\newcommand{\isasymrat}{\isamath{\bbbQ}}  %requires font txmia from txfonts
+\newcommand{\isasymreal}{\isamath{\bbbR}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbS}{\isamath{\bbbS}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbT}{\isamath{\bbbT}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbU}{\isamath{\bbbU}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbV}{\isamath{\bbbV}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbW}{\isamath{\bbbW}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbX}{\isamath{\bbbX}}  %requires font txmia from txfonts
+\newcommand{\isasymbbbY}{\isamath{\bbbY}}  %requires font txmia from txfonts
+\newcommand{\isasymint}{\isamath{\bbbZ}}  %requires font txmia from txfonts
 \newcommand{\isasymleftarrow}{\isamath{\leftarrow}}
 \newcommand{\isasymrightarrow}{\isamath{\rightarrow}}
 \newcommand{\isasymlongleftarrow}{\isamath{\longleftarrow}}
 \newcommand{\isasymlongrightarrow}{\isamath{\longrightarrow}}
 \newcommand{\isasymlonglongleftarrow}{\isamath{\xleftarrow{\hphantom{AAA}}}}  %requires amsmath
 \newcommand{\isasymlonglongrightarrow}{\isamath{\xrightarrow{\hphantom{AAA}}}}  %requires amsmath
 \newcommand{\isasymlonglonglongleftarrow}{\isamath{\xleftarrow{\hphantom{AAAA}}}}  %requires amsmath
 \newcommand{\isasymlonglonglongrightarrow}{\isamath{\xrightarrow{\hphantom{AAAA}}}}  %requires amsmath
 \newcommand{\isasymLeftarrow}{\isamath{\Leftarrow}}
 \newcommand{\isasymRightarrow}{\isamath{\Rightarrow}}
 \newcommand{\isasymLongleftarrow}{\isamath{\Longleftarrow}}
 \newcommand{\isasymLongrightarrow}{\isamath{\Longrightarrow}}
 \newcommand{\isasymLleftarrow}{\isamath{\Lleftarrow}}  %requires amssymb
 \newcommand{\isasymRrightarrow}{\isamath{\Rrightarrow}}  %requires amssymb
 \newcommand{\isasymleftrightarrow}{\isamath{\leftrightarrow}}
 \newcommand{\isasymLeftrightarrow}{\isamath{\Leftrightarrow}}
 \newcommand{\isasymlongleftrightarrow}{\isamath{\longleftrightarrow}}
 \newcommand{\isasymLongleftrightarrow}{\isamath{\Longleftrightarrow}}
 \newcommand{\isasymmapsto}{\isamath{\mapsto}}
 \newcommand{\isasymlongmapsto}{\isamath{\longmapsto}}
 \newcommand{\isasymmidarrow}{\isamath{\relbar}}
 \newcommand{\isasymMidarrow}{\isamath{\Relbar}}
 \newcommand{\isasymhookleftarrow}{\isamath{\hookleftarrow}}
 \newcommand{\isasymhookrightarrow}{\isamath{\hookrightarrow}}
 \newcommand{\isasymleftharpoondown}{\isamath{\leftharpoondown}}
 \newcommand{\isasymrightharpoondown}{\isamath{\rightharpoondown}}
 \newcommand{\isasymleftharpoonup}{\isamath{\leftharpoonup}}
 \newcommand{\isasymrightharpoonup}{\isamath{\rightharpoonup}}
 \newcommand{\isasymrightleftharpoons}{\isamath{\rightleftharpoons}}
 \newcommand{\isasymleadsto}{\isamath{\leadsto}}  %requires amssymb
 \newcommand{\isasymdownharpoonleft}{\isamath{\downharpoonleft}}  %requires amssymb
 \newcommand{\isasymdownharpoonright}{\isamath{\downharpoonright}}  %requires amssymb
 \newcommand{\isasymupharpoonleft}{\isamath{\upharpoonleft}}  %requires amssymb
 \newcommand{\isasymupharpoonright}{\isamath{\upharpoonright}}  %requires amssymb
 \newcommand{\isasymrestriction}{\isamath{\restriction}}  %requires amssymb
 \newcommand{\isasymColon}{\isamath{\mathrel{::}}}
 \newcommand{\isasymup}{\isamath{\uparrow}}
 \newcommand{\isasymUp}{\isamath{\Uparrow}}
 \newcommand{\isasymdown}{\isamath{\downarrow}}
 \newcommand{\isasymDown}{\isamath{\Downarrow}}
 \newcommand{\isasymupdown}{\isamath{\updownarrow}}
 \newcommand{\isasymUpdown}{\isamath{\Updownarrow}}
 \newcommand{\isasymlangle}{\isamath{\langle}}
 \newcommand{\isasymrangle}{\isamath{\rangle}}
 \newcommand{\isasymllangle}{\isamath{\langle\mskip-5mu\langle}}
 \newcommand{\isasymrrangle}{\isamath{\rangle\mskip-5mu\rangle}}
 \newcommand{\isasymlceil}{\isamath{\lceil}}
 \newcommand{\isasymrceil}{\isamath{\rceil}}
 \newcommand{\isasymlfloor}{\isamath{\lfloor}}
 \newcommand{\isasymrfloor}{\isamath{\rfloor}}
 \newcommand{\isasymlparr}{\isamath{\mathopen{(\mkern-3.3mu\mid}}}
 \newcommand{\isasymrparr}{\isamath{\mathclose{\mid\mkern-3.3mu)}}}
 \newcommand{\isasymlbrakk}{\isamath{\mathopen{\lbrack\mkern-3mu\lbrack}}}
 \newcommand{\isasymrbrakk}{\isamath{\mathclose{\rbrack\mkern-3mu\rbrack}}}
 \newcommand{\isasymlbrace}{\isamath{\mathopen{\lbrace\mkern-4.3mu\mid}}}
 \newcommand{\isasymrbrace}{\isamath{\mathclose{\mid\mkern-4.3mu\rbrace}}}
 \newcommand{\isasymlblot}{\isamath{{\langle}\mkern -3.5mu{|}}}
 \newcommand{\isasymrblot}{\isamath{{|}\mkern -3.5mu{\rangle}}}
 \newcommand{\isasymguillemotleft}{\isatext{\flqq}}  %requires babel
 \newcommand{\isasymguillemotright}{\isatext{\frqq}}  %requires babel
 \newcommand{\isasymbottom}{\isamath{\bot}}
 \newcommand{\isasymtop}{\isamath{\top}}
 \newcommand{\isasymand}{\isamath{\wedge}}
 \newcommand{\isasymAnd}{\isamath{\bigwedge}}
 \newcommand{\isasymor}{\isamath{\vee}}
 \newcommand{\isasymOr}{\isamath{\bigvee}}
 \newcommand{\isasymforall}{\isamath{\forall\,}}
 \newcommand{\isasymexists}{\isamath{\exists\,}}
 \newcommand{\isasymnot}{\isamath{\neg}}
 \newcommand{\isasymnexists}{\isamath{\nexists\,}}  %requires amssymb
 \newcommand{\isasymcircle}{\isamath{\ocircle}}  %requires wasysym
 \newcommand{\isasymbox}{\isamath{\Box}}  %requires amssymb
 \newcommand{\isasymdiamond}{\isamath{\Diamond}}  %requires amssymb
 \newcommand{\isasymdiamondop}{\isamath{\diamond}}
 \newcommand{\isasymsurd}{\isamath{\surd}}
 \newcommand{\isasymturnstile}{\isamath{\vdash}}
 \newcommand{\isasymTurnstile}{\isamath{\models}}
 \newcommand{\isasymtturnstile}{\isamath{\vdash\!\!\!\vdash}}
 \newcommand{\isasymTTurnstile}{\isamath{\mid\!\models}}
 \newcommand{\isasymstileturn}{\isamath{\dashv}}
 \newcommand{\isasymle}{\isamath{\le}}
 \newcommand{\isasymge}{\isamath{\ge}}
 \newcommand{\isasymlless}{\isamath{\ll}}
 \newcommand{\isasymggreater}{\isamath{\gg}}
 \newcommand{\isasymlesssim}{\isamath{\lesssim}}  %requires amssymb
 \newcommand{\isasymgreatersim}{\isamath{\gtrsim}}  %requires amssymb
 \newcommand{\isasymlessapprox}{\isamath{\lessapprox}}  %requires amssymb
 \newcommand{\isasymgreaterapprox}{\isamath{\gtrapprox}}  %requires amssymb
 \newcommand{\isasymin}{\isamath{\in}}
 \newcommand{\isasymnotin}{\isamath{\notin}}
 \newcommand{\isasymsubset}{\isamath{\subset}}
 \newcommand{\isasymsupset}{\isamath{\supset}}
 \newcommand{\isasymsubseteq}{\isamath{\subseteq}}
 \newcommand{\isasymsupseteq}{\isamath{\supseteq}}
 \newcommand{\isasymsqsubset}{\isamath{\sqsubset}}  %requires amssymb
 \newcommand{\isasymsqsupset}{\isamath{\sqsupset}}  %requires amssymb
 \newcommand{\isasymsqsubseteq}{\isamath{\sqsubseteq}}
 \newcommand{\isasymsqsupseteq}{\isamath{\sqsupseteq}}
 \newcommand{\isasyminter}{\isamath{\cap}}
 \newcommand{\isasymInter}{\isamath{\bigcap\,}}
 \newcommand{\isasymunion}{\isamath{\cup}}
 \newcommand{\isasymUnion}{\isamath{\bigcup\,}}
 \newcommand{\isasymsqunion}{\isamath{\sqcup}}
 \newcommand{\isasymSqunion}{\isamath{\bigsqcup\,}}
 \newcommand{\isasymsqinter}{\isamath{\sqcap}}
 \newcommand{\isasymSqinter}{\isamath{\bigsqcap\,}}  %requires stmaryrd
 \newcommand{\isasymsetminus}{\isamath{\setminus}}
 \newcommand{\isasympropto}{\isamath{\propto}}
 \newcommand{\isasymuplus}{\isamath{\uplus}}
 \newcommand{\isasymUplus}{\isamath{\biguplus\,}}
 \newcommand{\isasymnoteq}{\isamath{\not=}}
 \newcommand{\isasymsim}{\isamath{\sim}}
 \newcommand{\isasymdoteq}{\isamath{\doteq}}
 \newcommand{\isasymsimeq}{\isamath{\simeq}}
 \newcommand{\isasymapprox}{\isamath{\approx}}
 \newcommand{\isasymasymp}{\isamath{\asymp}}
 \newcommand{\isasymcong}{\isamath{\cong}}
 \newcommand{\isasymsmile}{\isamath{\smile}}
 \newcommand{\isasymequiv}{\isamath{\equiv}}
 \newcommand{\isasymfrown}{\isamath{\frown}}
 \newcommand{\isasymJoin}{\isamath{\Join}}  %requires amssymb
 \newcommand{\isasymbowtie}{\isamath{\bowtie}}
 \newcommand{\isasymprec}{\isamath{\prec}}
 \newcommand{\isasymsucc}{\isamath{\succ}}
 \newcommand{\isasympreceq}{\isamath{\preceq}}
 \newcommand{\isasymsucceq}{\isamath{\succeq}}
 \newcommand{\isasymparallel}{\isamath{\parallel}}
 \newcommand{\isasyminterleace}{\isamath{\interleave}}  %requires stmaryrd
 \newcommand{\isasymsslash}{\isamath{\sslash}}  %requires stmaryrd
 \newcommand{\isasymbar}{\isamath{\mid}}
 \newcommand{\isasymbbar}{\isamath{[\mskip-1.5mu]}}
 \newcommand{\isasymplusminus}{\isamath{\pm}}
 \newcommand{\isasymminusplus}{\isamath{\mp}}
 \newcommand{\isasymtimes}{\isamath{\times}}
 \newcommand{\isasymdiv}{\isamath{\div}}
 \newcommand{\isasymcdot}{\isamath{\cdot}}
 \newcommand{\isasymsqdot}{\isamath{\sbox\z@{$\centerdot$}\ht\z@=.33333\ht\z@\vcenter{\box\z@}}}  %requires amssymb
 \newcommand{\isasymstar}{\isamath{\star}}
 \newcommand{\isasymbullet}{\boldmath\isamath{\mathchoice{\displaystyle{\cdot}}{\textstyle{\cdot}}{\scriptstyle{\bullet}}{\scriptscriptstyle{\bullet}}}}
 \newcommand{\isasymcirc}{\isamath{\circ}}
 \newcommand{\isasymdagger}{\isamath{\dagger}}
 \newcommand{\isasymddagger}{\isamath{\ddagger}}
 \newcommand{\isasymlhd}{\isamath{\lhd}}  %requires amssymb
 \newcommand{\isasymrhd}{\isamath{\rhd}}  %requires amssymb
 \newcommand{\isasymunlhd}{\isamath{\unlhd}}  %requires amssymb
 \newcommand{\isasymunrhd}{\isamath{\unrhd}}  %requires amssymb
 \newcommand{\isasymtriangleleft}{\isamath{\triangleleft}}
 \newcommand{\isasymtriangleright}{\isamath{\triangleright}}
 \newcommand{\isasymtriangle}{\isamath{\triangle}}
 \newcommand{\isasymtriangleq}{\isamath{\triangleq}}  %requires amssymb
 \newcommand{\isasymoplus}{\isamath{\oplus}}
 \newcommand{\isasymOplus}{\isamath{\bigoplus\,}}
 \newcommand{\isasymotimes}{\isamath{\otimes}}
 \newcommand{\isasymOtimes}{\isamath{\bigotimes\,}}
 \newcommand{\isasymodot}{\isamath{\odot}}
 \newcommand{\isasymOdot}{\isamath{\bigodot\,}}
 \newcommand{\isasymominus}{\isamath{\ominus}}
 \newcommand{\isasymoslash}{\isamath{\oslash}}
 \newcommand{\isasymdots}{\isamath{\dots}}
 \newcommand{\isasymcdots}{\isamath{\cdots}}
 \newcommand{\isasymSum}{\isamath{\sum\,}}
 \newcommand{\isasymProd}{\isamath{\prod\,}}
 \newcommand{\isasymCoprod}{\isamath{\coprod\,}}
 \newcommand{\isasyminfinity}{\isamath{\infty}}
 \newcommand{\isasymintegral}{\isamath{\int\,}}
 \newcommand{\isasymointegral}{\isamath{\oint\,}}
 \newcommand{\isasymclubsuit}{\isamath{\clubsuit}}
 \newcommand{\isasymdiamondsuit}{\isamath{\diamondsuit}}
 \newcommand{\isasymheartsuit}{\isamath{\heartsuit}}
 \newcommand{\isasymspadesuit}{\isamath{\spadesuit}}
 \newcommand{\isasymaleph}{\isamath{\aleph}}
 \newcommand{\isasymemptyset}{\isamath{\emptyset}}
 \newcommand{\isasymnabla}{\isamath{\nabla}}
 \newcommand{\isasympartial}{\isamath{\partial}}
 \newcommand{\isasymRe}{\isamath{\Re}}
 \newcommand{\isasymIm}{\isamath{\Im}}
 \newcommand{\isasymflat}{\isamath{\flat}}
 \newcommand{\isasymnatural}{\isamath{\natural}}
 \newcommand{\isasymsharp}{\isamath{\sharp}}
 \newcommand{\isasymangle}{\isamath{\angle}}
 \newcommand{\isasymcopyright}{\isatext{\normalfont\rmfamily\copyright}}
 \newcommand{\isasymregistered}{\isatext{\normalfont\rmfamily\textregistered}}
 \newcommand{\isasyminverse}{\isamath{{}^{-1}}}
 \newcommand{\isasymonequarter}{\isatext{\normalfont\rmfamily\textonequarter}}  %requires textcomp
 \newcommand{\isasymonehalf}{\isatext{\normalfont\rmfamily\textonehalf}}  %requires textcomp
 \newcommand{\isasymthreequarters}{\isatext{\normalfont\rmfamily\textthreequarters}}  %requires textcomp
 \newcommand{\isasymordfeminine}{\isatext{\normalfont\rmfamily\textordfeminine}}
 \newcommand{\isasymordmasculine}{\isatext{\normalfont\rmfamily\textordmasculine}}
 \newcommand{\isasymsection}{\isatext{\normalfont\rmfamily\S}}
 \newcommand{\isasymparagraph}{\isatext{\normalfont\rmfamily\P}}
 \newcommand{\isasymexclamdown}{\isatext{\normalfont\rmfamily\textexclamdown}}
 \newcommand{\isasymquestiondown}{\isatext{\normalfont\rmfamily\textquestiondown}}
 \newcommand{\isasymeuro}{\isatext{\euro}}  %requires eurosym
 \newcommand{\isasympounds}{\isamath{\pounds}}
 \newcommand{\isasymyen}{\isatext{\yen}}  %requires amssymb
 \newcommand{\isasymcent}{\isatext{\textcent}}  %requires textcomp
 \newcommand{\isasymcurrency}{\isatext{\textcurrency}} %requires textcomp
 \newcommand{\isasymdegree}{\isatext{\normalfont\rmfamily\textdegree}}  %requires textcomp
 \newcommand{\isasymhyphen}{\isatext{\normalfont\rmfamily-}}
 \newcommand{\isasymamalg}{\isamath{\amalg}}
 \newcommand{\isasymmho}{\isamath{\mho}}  %requires amssymb
 \newcommand{\isasymlozenge}{\isamath{\lozenge}}  %requires amssymb
 \newcommand{\isasymwp}{\isamath{\wp}}
 \newcommand{\isasymwrong}{\isamath{\wr}}
 \newcommand{\isasymacute}{\isatext{\'\relax}}
 \newcommand{\isasymindex}{\isatext{\i}}
 \newcommand{\isasymdieresis}{\isatext{\"\relax}}
 \newcommand{\isasymcedilla}{\isatext{\c\relax}}
 \newcommand{\isasymhungarumlaut}{\isatext{\H\relax}}
 \newcommand{\isasymsome}{\isamath{\epsilon\,}}
 \newcommand{\isasymbind}{\isamath{\mathbin{>\!\!\!>\mkern-6.7mu=}}}
 \newcommand{\isasymthen}{\isamath{\mathbin{>\!\!\!>}}}
 
 %Z notation
 \newcommand{\isaZhbar}[1]{\rlap{\raise.0001ex\hbox{\isamath{-}}}#1}
 \newcommand{\isaZpvbar}[1]{\ooalign{\hfil\isamath{\mapstochar\mkern 5mu}\hfil\cr#1}}
 \newcommand{\isaZfvbar}[1]{\ooalign{\hfil\isamath{\mapstochar\mkern 3mu\mapstochar\mkern 5mu}\hfil\cr#1}}
 \newcommand{\isaZdarrow}[3]{\ooalign{\isamath{#1}\hfil\cr\isamath{\mkern#3mu\isamath{#2}}}}
 \newcommand{\isasymZcomp}{\isamath{\fatsemi}}  %requires stmaryrd
 \newcommand{\isasymZinj}{\isamath{\rightarrowtail}}  %requires amssymb
 \newcommand{\isasymZpinj}{\isaZpvbar{\isamath{\rightarrowtail}}}  %requires amssymb
 \newcommand{\isasymZfinj}{\isaZfvbar{\isasymZinj}}  %requires amssymb
 \newcommand{\isasymZsurj}{\isaZdarrow{\rightarrow}{\rightarrow}{4}}  %requires amssymb
 \newcommand{\isasymZpsurj}{\isaZpvbar{\isasymZsurj}}  %requires amssymb
 \newcommand{\isasymZbij}{\isaZdarrow{\rightarrowtail}{\rightarrow}{5}}  %requires amssymb
 \newcommand{\isasymZpfun}{\isaZpvbar{\isamath{\rightarrow}}}
 \newcommand{\isasymZffun}{\isaZfvbar{\isamath{\rightarrow}}}
 \newcommand{\isasymZdres}{\isamath{\lhd}}  %requires amssymb
 \newcommand{\isasymZndres}{\isaZhbar{\isamath{\lhd}}}  %requires amssymb
 \newcommand{\isasymZrres}{\isamath{\rhd}}  %requires amssymb
 \newcommand{\isasymZnrres}{\isaZhbar{\isamath{\rhd}}}  %requires amssymb
 \newcommand{\isasymZspot}{\isamath{\bullet}}
 \newcommand{\isasymZproject}{\isamath{\upharpoonright}}  %requires amssymb
 \newcommand{\isasymZsemi}{\isatext{\raise 0.66ex\hbox{\oalign{\hfil\isamath{\scriptscriptstyle\mathrm{o}}\hfil\cr\hfil\isamath{\scriptscriptstyle\mathrm{9}}\hfil}}}}
 \newcommand{\isasymZtypecolon}{\isatext{\raise 0.6ex\hbox{\oalign{\hfil\isamath{\scriptscriptstyle\mathrm{o}}\hfil\cr\hfil\isamath{\scriptscriptstyle\mathrm{o}}\hfil}}}}
 \newcommand{\isasymZhide}{\isamath{\backslash}}
 \newcommand{\isasymZcat}{\isatext{\raise 0.8ex\hbox{\isamath{\mathchar\frown}}}}
 \newcommand{\isasymZinbag}{\isatext{\ooalign{\isamath{\sqsubset\mkern-1mu}\cr\isamath{-\mkern-1mu}\cr}}}
 
 \newcommand{\isasymhole}{\isatext{\normalfont\rmfamily\wasylozenge}}  %requires wasysym
 \newcommand{\isasymnewline}{\isatext{\fbox{$\hookleftarrow$}}}
 \newcommand{\isasymcomment}{\isatext{\isastylecmt---}}
 \newcommand{\isasymproof}{\isamath{\,\langle\mathit{proof}\rangle}}
 \newcommand{\isasymopen}{\isatext{\guilsinglleft}}
 \newcommand{\isasymclose}{\isatext{\guilsinglright}}
 \newcommand{\isasymcheckmark}{\isatext{\ding{51}}}  %requires pifont
 \newcommand{\isasymcrossmark}{\isatext{\ding{55}}}  %requires pifont
 \newcommand{\isactrlmarker}{\isatext{\ding{48}}}  %requires pifont
 \newcommand{\isactrlassert}{\isakeywordcontrol{assert}}
 \newcommand{\isactrlcancel}{\isakeywordcontrol{cancel}}
 \newcommand{\isactrlbinding}{\isakeywordcontrol{binding}}
 \newcommand{\isactrlclass}{\isakeywordcontrol{class}}
 \newcommand{\isactrlclassUNDERSCOREsyntax}{\isakeywordcontrol{class{\isacharunderscore}syntax}}
 \newcommand{\isactrlcommandUNDERSCOREkeyword}{\isakeywordcontrol{command{\isacharunderscore}keyword}}
 \newcommand{\isactrlconst}{\isakeywordcontrol{const}}
 \newcommand{\isactrlconstUNDERSCOREabbrev}{\isakeywordcontrol{const{\isacharunderscore}abbrev}}
 \newcommand{\isactrlconstUNDERSCOREname}{\isakeywordcontrol{const{\isacharunderscore}name}}
 \newcommand{\isactrlconstUNDERSCOREsyntax}{\isakeywordcontrol{const{\isacharunderscore}syntax}}
 \newcommand{\isactrlcontext}{\isakeywordcontrol{context}}
 \newcommand{\isactrlcprop}{\isakeywordcontrol{cprop}}
 \newcommand{\isactrlcterm}{\isakeywordcontrol{cterm}}
 \newcommand{\isactrlctyp}{\isakeywordcontrol{ctyp}}
 \newcommand{\isactrldir}{\isakeywordcontrol{dir}}
 \newcommand{\isactrlfile}{\isakeywordcontrol{file}}
 \newcommand{\isactrlhere}{\isakeywordcontrol{here}}
 \newcommand{\isactrlkeyword}{\isakeywordcontrol{keyword}}
 \newcommand{\isactrllatex}{\isakeywordcontrol{latex}}
 \newcommand{\isactrllocale}{\isakeywordcontrol{locale}}
 \newcommand{\isactrlmakeUNDERSCOREstring}{\isakeywordcontrol{make{\isacharunderscore}string}}
 \newcommand{\isactrlmasterUNDERSCOREdir}{\isakeywordcontrol{master{\isacharunderscore}dir}}
 \newcommand{\isactrlmethod}{\isakeywordcontrol{method}}
 \newcommand{\isactrlnamedUNDERSCOREtheorems}{\isakeywordcontrol{named{\isacharunderscore}theorems}}
 \newcommand{\isactrlnonterminal}{\isakeywordcontrol{nonterminal}}
 \newcommand{\isactrloracleUNDERSCOREname}{\isakeywordcontrol{oracle{\isacharunderscore}name}}
 \newcommand{\isactrlpath}{\isakeywordcontrol{path}}
 \newcommand{\isactrlpathUNDERSCOREbinding}{\isakeywordcontrol{path{\isacharunderscore}binding}}
 \newcommand{\isactrlplugin}{\isakeywordcontrol{plugin}}
 \newcommand{\isactrlprint}{\isakeywordcontrol{print}}
 \newcommand{\isactrlprop}{\isakeywordcontrol{prop}}
 \newcommand{\isactrlscala}{\isakeywordcontrol{scala}}
 \newcommand{\isactrlscalaUNDERSCOREfunction}{\isakeywordcontrol{scala{\isacharunderscore}function}}
 \newcommand{\isactrlscalaUNDERSCOREmethod}{\isakeywordcontrol{scala{\isacharunderscore}method}}
 \newcommand{\isactrlscalaUNDERSCOREobject}{\isakeywordcontrol{scala{\isacharunderscore}object}}
 \newcommand{\isactrlscalaUNDERSCOREtype}{\isakeywordcontrol{scala{\isacharunderscore}type}}
 \newcommand{\isactrlsimproc}{\isakeywordcontrol{simproc}}
 \newcommand{\isactrlsort}{\isakeywordcontrol{sort}}
 \newcommand{\isactrlsyntaxUNDERSCOREconst}{\isakeywordcontrol{syntax{\isacharunderscore}const}}
 \newcommand{\isactrlsystemUNDERSCOREoption}{\isakeywordcontrol{system{\isacharunderscore}option}}
 \newcommand{\isactrlterm}{\isakeywordcontrol{term}}
 \newcommand{\isactrltheory}{\isakeywordcontrol{theory}}
 \newcommand{\isactrltheoryUNDERSCOREcontext}{\isakeywordcontrol{theory{\isacharunderscore}context}}
 \newcommand{\isactrltyp}{\isakeywordcontrol{typ}}
 \newcommand{\isactrltypeUNDERSCOREabbrev}{\isakeywordcontrol{type{\isacharunderscore}abbrev}}
 \newcommand{\isactrltypeUNDERSCOREname}{\isakeywordcontrol{type{\isacharunderscore}name}}
 \newcommand{\isactrltypeUNDERSCOREsyntax}{\isakeywordcontrol{type{\isacharunderscore}syntax}}
 \newcommand{\isactrlundefined}{\isakeywordcontrol{undefined}}
 
 \newcommand{\isactrlcode}{\isakeywordcontrol{code}}
 \newcommand{\isactrlcomputation}{\isakeywordcontrol{computation}}
 \newcommand{\isactrlcomputationUNDERSCOREconv}{\isakeywordcontrol{computation{\isacharunderscore}conv}}
 \newcommand{\isactrlcomputationUNDERSCOREcheck}{\isakeywordcontrol{computation{\isacharunderscore}check}}