# LaTeX2HTML 2022 (Released January 1, 2022)
# Associate images original text with physical files.


$key = q//;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img22.png"
 ALT="$\displaystyle \tt { \string\lltou\string^a \\\\
\string\lltod\string^a }
&amp;{\Bo...
...txt\tt { \string\rrtou\string^a \\\\
\string\rrtod\string^a }
\ &amp;
\enddiagram
$">|; 

$key = q/diagram;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img77.png"
 ALT="$\diagram$">|; 

$key = q/displaystyleDashed;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img69.png"
 ALT="$\displaystyle \Dashed$">|; 

$key = q/displaystyleDdashed;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img70.png"
 ALT="$\displaystyle \Ddashed$">|; 

$key = q/displaystyleDdotted;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img73.png"
 ALT="$\displaystyle \Ddotted$">|; 

$key = q/displaystyleDotted;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img72.png"
 ALT="$\displaystyle \Dotted$">|; 

$key = q/displaystyleFramed;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img94.png"
 ALT="$\displaystyle \Framed$">|; 

$key = q/displaystyleNoCompileAllDiagrams;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img86.png"
 ALT="$\displaystyle \NoCompileAllDiagrams$">|; 

$key = q/displaystyleSolid;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img66.png"
 ALT="$\displaystyle \Solid$">|; 

$key = q/displaystyleSsolid;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img67.png"
 ALT="$\displaystyle \Ssolid$">|; 

$key = q/displaystyleText;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img95.png"
 ALT="$\displaystyle \Text$">|; 

$key = q/displaystyleXY;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img102.png"
 ALT="$\displaystyle \XY$">|; 

$key = q/displaystylecir;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img59.png"
 ALT="$\displaystyle \cir$">|; 

$key = q/displaystyledashed;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img68.png"
 ALT="$\displaystyle \dashed$">|; 

$key = q/displaystylediagram;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img9.png"
 ALT="$\displaystyle \diagram$">|; 

$key = q/displaystyledir;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img53.png"
 ALT="$\displaystyle \dir$">|; 

$key = q/displaystyledocode;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img2.png"
 ALT="$\displaystyle \docode$">|; 

$key = q/displaystyledotted;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img71.png"
 ALT="$\displaystyle \dotted$">|; 

$key = q/displaystyledottedwith;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img76.png"
 ALT="$\displaystyle \dottedwith$">|; 

$key = q/displaystyleframed;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img93.png"
 ALT="$\displaystyle \framed$">|; 

$key = q/displaystylefrm;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img52.png"
 ALT="$\displaystyle \frm$">|; 

$key = q/displaystylego;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img63.png"
 ALT="$\displaystyle \go$">|; 

$key = q/displaystyleitem;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img54.png"
 ALT="$\displaystyle \item$">|; 

$key = q/displaystylemorphism;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img64.png"
 ALT="$\displaystyle \morphism$">|; 

$key = q/displaystylenotip;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img65.png"
 ALT="$\displaystyle \notip$">|; 

$key = q/displaystylenull;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img74.png"
 ALT="$\displaystyle \null$">|; 

$key = q/displaystyleobjectwidth;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img8.png"
 ALT="$\displaystyle \objectwidth$">|; 

$key = q/displaystylesolid;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img62.png"
 ALT="$\displaystyle \solid$">|; 

$key = q/displaystylespreaddiagramcolumns;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img7.png"
 ALT="$\displaystyle \spreaddiagramcolumns$">|; 

$key = q/displaystylespreaddiagramrows;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img23.png"
 ALT="$\displaystyle \spreaddiagramrows$">|; 

$key = q/displaystyletodl^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img26.png"
 ALT="$\displaystyle \todl^{a}_{}$">|; 

$key = q/displaystyletodr^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img27.png"
 ALT="$\displaystyle \todr^{a}_{}$">|; 

$key = q/displaystyletold^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img30.png"
 ALT="$\displaystyle \told^{a}_{}$">|; 

$key = q/displaystyletolu^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img28.png"
 ALT="$\displaystyle \tolu^{a}_{}$">|; 

$key = q/displaystyletord^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img31.png"
 ALT="$\displaystyle \tord^{a}_{}$">|; 

$key = q/displaystyletoru^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img29.png"
 ALT="$\displaystyle \toru^{a}_{}$">|; 

$key = q/displaystyletoul^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img24.png"
 ALT="$\displaystyle \toul^{a}_{}$">|; 

$key = q/displaystyletour^{a}_{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img25.png"
 ALT="$\displaystyle \tour^{a}_{}$">|; 

$key = q/displaystyletxt;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img21.png"
 ALT="$\displaystyle \txt$">|; 

$key = q/displaystylexdashed;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img12.png"
 ALT="$\displaystyle \xdashed$">|; 

$key = q/displaystylexdotted;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img13.png"
 ALT="$\displaystyle \xdotted$">|; 

$key = q/displaystylexdouble;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img14.png"
 ALT="$\displaystyle \xdouble$">|; 

$key = q/displaystylexline;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img11.png"
 ALT="$\displaystyle \xline$">|; 

$key = q/displaystylexto;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img10.png"
 ALT="$\displaystyle \xto$">|; 

$key = q/displaystylexy;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img51.png"
 ALT="$\displaystyle \xy$">|; 

$key = q/dottedwith;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img75.png"
 ALT="$\dottedwith$">|; 

$key = q/drto;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img43.png"
 ALT="$\drto$">|; 

$key = q/ell;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img42.png"
 ALT="$\ell$">|; 

$key = q/lt;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img45.png"
 ALT="$\lt$">|; 

$key = q/morphism;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img78.png"
 ALT="$\morphism$">|; 

$key = q/notip;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img82.png"
 ALT="$\notip$">|; 

$key = q/solid;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img79.png"
 ALT="$\solid$">|; 

$key = q/squash;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img46.png"
 ALT="$\squash$">|; 

$key = q/stop;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img81.png"
 ALT="$\stop$">|; 

$key = q/tip;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img80.png"
 ALT="$\tip$">|; 

$key = q/{code}definemorphism{mapsto}solidtipstopdiagramArmapsto^f&AtimesAdlmapsto_gBumapstodiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img83.png"
 ALT="\begin{code}
\definemorphism{mapsto}\solid\tip\stop
\diagram
A \rmapsto^f &amp; A\times A \dlmapsto_g \\\\
B \umapsto
\enddiagram
\end{code}">|; 

$key = q/{code}diagram0,{-1}&0,0savego[1,2]mergeframed<5pt>xto[0,-1]xto[1,-1]xto[0,3]xto[1,3]restore&0,1&0,2&0,31,{-1}&1,0&1,1&1,2&1,3diagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img100.png"
 ALT="\begin{code}
\diagram
0,{-1} &amp; 0,0
\save\go[1,2]\merge\framed&lt;5pt&gt;
\xto[0,-1]...
...re
&amp; 0,1 &amp; 0,2 &amp; 0,3 \\\\
1,{-1} &amp; 1,0 &amp; 1,1 &amp; 1,2 &amp; 1,3 \enddiagram
\end{code}">|; 

$key = q/{code}diagramA&sum_{i=n}^m{i^2}framed&bullet&Dultodiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img5.png"
 ALT="\begin{code}
\diagram
A &amp;\sum_{i=n}^m {i^2} \framed \\\\
&amp; \bullet &amp; D \ulto
\enddiagram
\end{code}">|; 

$key = q/{code}diagramAB&Culto<1ex>ulto;[]<1ex>diagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img50.png"
 ALT="\begin{code}
\diagram
A \\\\
B &amp; C \ulto &lt;1ex&gt;
\ulto;[] &lt;1ex&gt;
\enddiagram
\end{code}">|; 

$key = q/{code}diagramAdrline&savego+<3cm,0cm>Drop{Text<8pc>{Thisisstilljustabigcommentary.}}ltodtogo="comment"restore&Brline&Cxto"comment"&Ddiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img98.png"
 ALT="\begin{code}
\diagram
A \drline
&amp; \save \go+&lt;3cm,0cm&gt;\Drop{\Text&lt;8pc&gt;{
This i...
...omment'' \restore \\\\
&amp; B \rline &amp; C \xto''comment'' &amp; D
\enddiagram
\end{code}">|; 

$key = q/{code}diagramAdrto<1ex>^a_{.}&Bulto<1ex>^brto<1ex>^c&Clto<1ex>^d_{.}diagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img49.png"
 ALT="\begin{code}
\diagram
A \drto&lt;1ex&gt;^a_{.} \\\\
&amp; B \ulto&lt;1ex&gt;^b \rto&lt;1ex&gt;^c
&amp; C \lto&lt;1ex&gt;^d_{.}
\enddiagram
\end{code}">|; 

$key = q/{code}diagramArto^(.3){+}&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img38.png"
 ALT="\begin{code}
\diagram A \rto^(.3){+} &amp;B \enddiagram
\end{code}">|; 

$key = q/{code}diagramArto^<(0){+}&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img39.png"
 ALT="\begin{code}
\diagram A \rto^&lt;(0){+} &amp;B \enddiagram
\end{code}">|; 

$key = q/{code}diagramArto^<{+}&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img34.png"
 ALT="\begin{code}
\diagram A \rto^&lt;{+} &amp;B \enddiagram
\end{code}">|; 

$key = q/{code}diagramArto^>>>{+}&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img37.png"
 ALT="\begin{code}
\diagram A \rto^&#187;&gt;{+} &amp;B \enddiagram
\end{code}">|; 

$key = q/{code}diagramArto^>>{+}&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img36.png"
 ALT="\begin{code}
\diagram A \rto^&#187;{+} &amp;B \enddiagram
\end{code}">|; 

$key = q/{code}diagramArto^>{+}&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img35.png"
 ALT="\begin{code}
\diagram A \rto^&gt;{+} &amp;B \enddiagram
\end{code}">|; 

$key = q/{code}diagramArto|f&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img18.png"
 ALT="\begin{code}
\diagram A \rto\vert f &amp; B \enddiagram
\end{code}">|; 

$key = q/{code}diagramArto|hole&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img19.png"
 ALT="\begin{code}
\diagram A \rto\vert\hole &amp; B \enddiagram
\end{code}">|; 

$key = q/{code}diagramAtimesBtimesCtimesDrto^-{+}&Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img40.png"
 ALT="\begin{code}
\diagram
A\times B\times C\times D \rto^-{+} &amp;B
\enddiagram
\end{code}">|; 

$key = q/{code}diagramText{Averylongandstupidprogram}rrto^-{Text{weirdarrow}}&&Text<2pc>{Com-pli-catedCode}diagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img85.png"
 ALT="\begin{code}
\diagram
\Text{A very long and stupid\ program}
\rrto^-{\Text{weird\ arrow}}
&amp;&amp; \Text&lt;2pc&gt;{Com\-pli\-cated\ Code}
\enddiagram
\end{code}">|; 

$key = q/{code}diagramUddrto_ydrtodrrto^x&Xtimes_ZYdto^qrto_p&Xdto_f&Yrto^g&Zdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img1.png"
 ALT="\begin{code}
\diagram
U \ddrto_y \drto \drrto^x \\\\
&amp; X \times_Z Y \dto^q \rto_p &amp; X \dto_f \\\\
&amp; Y \rto^g &amp; Z
\enddiagram
\end{code}">|; 

$key = q/{code}diagramXrto^a_b&Y&Zlto^A_Bdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img16.png"
 ALT="\begin{code}
\diagram
X \rto^a_b &amp; Y &amp; Z \lto^A_B
\enddiagram
\end{code}">|; 

$key = q/{code}diagramcircxdashed'[dr]^a|<stop'[rr]+D^b[drrr]^c|>tip&circ&circ&circcirc&circ&circ&circdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img57.png"
 ALT="\begin{code}
\diagram
\circ
\xdashed '[dr] ^a \vert&lt;\stop
'[rr]+D ^b
[drrr] ...
... \circ &amp; \circ &amp; \circ \\\\
\circ &amp; \circ &amp; \circ &amp; \circ
\enddiagram
\end{code}">|; 

$key = q/{code}diagramcircxto`r[d]^a`[rr]^b`slash4pt[rr]^c`[rrr]^d`[drrr]^e[drrr]^f&circ&circ&circcirc&circ&circ&circdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img60.png"
 ALT="\begin{code}
\diagram
\circ \xto \lq r[d] ^a
\lq [rr] ^b
\lq /4pt[rr] ^c
\lq [rrr]^d
\lq [...
... \circ &amp; \circ &amp; \circ \\\\
\circ &amp; \circ &amp; \circ &amp; \circ
\enddiagram
\end{code}">|; 

$key = q/{code}diagramleft[sum^iright]&jlto+URdiagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img55.png"
 ALT="\begin{code}
\diagram
\left[\sum^i\right] &amp; j \lto+UR
\enddiagram
\end{code}">|; 

$key = q/{code}diagramtext{Program}rto&text{Code}diagram{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img84.png"
 ALT="\begin{code}
\diagram
\text{Program} \rto &amp; \text{Code}
\enddiagram
\end{code}">|; 

$key = q/{code}{left(spreaddiagramrows{-1.2pc}spreaddiagramcolumns{-1.2pc}diagramArto^{a}&Bdto^{b}A'uto^{a'}&B'lto_{b'}diagramright){{code};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img92.png"
 ALT="\begin{code}
$\left(
\spreaddiagramrows{-1.2pc}
\spreaddiagramcolumns{-1.2pc}
...
...{a} &amp; B \dto^{b} \\\\
A'\uto^{a'} &amp; B'\lto_{b'}
\enddiagram
\right)$
\end{code}">|; 

$key = q/{defs1}??c![diagram]~dots~??c![diagram]{defs1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img4.png"
 ALT="\begin{defs1}
??c![\diagram]&nbsp;\dots&nbsp;??c![\enddiagram]
\end{defs1}">|; 

$key = q/{defs1}??c![inputxypic]{defs1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img3.png"
 ALT="\begin{defs1}
??c![\input xypic]
\end{defs1}">|; 

$key = q/{defs1}|diagramcompileto{|"name"|}|{defs1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img33.png"
 ALT="\begin{defs1}
\vert\diagramcompileto{\vert''name''\vert}\vert
\end{defs1}">|; 

$key = q/{defs1}|morphism|<linetype><tip><tip><path>{defs1};AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img61.png"
 ALT="\begin{defs1}
\vert\morphism\vert &lt;line type&gt; &lt;tip&gt; &lt;tip&gt; &lt;path&gt;
\end{defs1}">|; 

$key = q/{defs1}|objectmargin||{|<dimen>|}|{defs1};AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img89.png"
 ALT="\begin{defs1}
\vert\objectmargin\vert \vert{\vert&lt;dimen&gt;\vert}\vert
\end{defs1}">|; 

$key = q/{defs1}|objectwidth||{|<dimen>|}|cr|objectheight||{|<dimen>|}|cr{defs1};AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img91.png"
 ALT="\begin{defs1}
\vert\objectwidth\vert \vert{\vert&lt;dimen&gt;\vert}\vert \cr
\vert\objectheight\vert \vert{\vert&lt;dimen&gt;\vert}\vert \cr
\end{defs1}">|; 

$key = q/{defs1}|save|dots|go="|"name"|"||restore|{defs1};AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img97.png"
 ALT="\begin{defs1}
\vert\save\vert \dots \vert\go=''\vert''name''\vert''\vert \vert\restore\vert
\end{defs1}">|; 

$key = q/{defs1}|save|{t{|Drop||{|"stuff"|}|dots|restore|dots{defs1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img87.png"
 ALT="\begin{defs1}
\vert\save\vert $t$ \vert\Drop\vert \vert{\vert''stuff''\vert}\vert \dots \vert\restore\vert \dots
\end{defs1}">|; 

$key = q/{defs1}|save|{t{|merge|dots|restore|dots{defs1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img99.png"
 ALT="\begin{defs1}
\vert\save\vert $t$ \vert\merge\vert \dots \vert\restore\vert \dots
\end{defs1}">|; 

$key = q/{defs1}|spreaddiagramrows||{|<dimen>|}|cr|spreaddiagramcolumns||{|<dimen>|}|cr{defs1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img90.png"
 ALT="\begin{defs1}
\vert\spreaddiagramrows\vert \vert{\vert&lt;dimen&gt;\vert}\vert\cr
\vert\spreaddiagramcolumns\vert \vert{\vert&lt;dimen&gt;\vert}\vert\cr
\end{defs1}">|; 

$key = q/{exercise}Whatisthedifferencebetweenatarget{t{andthetarget{t{|+0|?answertext{Thesize:{t{|+0|alwayshaszerosize.}{exercise};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img56.png"
 ALT="\begin{exercise}
What is the difference between a target $t$ and the target $t$...
...ert?
\answertext{The size: $t$\vert+0\vert always has zero size.}
\end{exercise}">|; 

1;

