<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">AA</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="cat_5.html#V2" title="CAT_5:attr.2">categorial</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">C</font> being <a href="cat_1.html#V1" title="CAT_1:attr.1">strict</a> <a href="cat_5.html#V3" title="CAT_5:attr.3">Categorial</a> <a href="cat_5.html#V4" title="CAT_5:attr.4">full</a> <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a> st the <a href="graph_1.html#U1" title="GRAPH_1:sel.1">Vertices</a> of <font color="Olive" title="b1">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">AA</font></span><br/>

<b>set </b><font color="Maroon" title="c2">dFF</font> = <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span>)</span> where <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> is    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font> : verum </span>}</span> ;<br/>
<b>consider </b><font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c4">b</font> being    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font>, <font color="Maroon" title="c5">f</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>;<br/>
<a NAME="E2:43"/>
( <font color="Maroon" title="c5">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> &amp;  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span>)</span> where <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> is    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font> : verum </span>}</span>  )
 
<b>by </b><i><a class="ref" href="cat_2.html#D2" title="CAT_2:def.2">CAT_2:def 2</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c6">FF</font> =  <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span>)</span> where <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> is    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font> : verum </span>}</span>  as  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  <b>by </b><i><a class="ref" href="tarski.html#D4" title="TARSKI:def.4">TARSKI:def 4</a></i>;<br/>
<div><i><font color="Green" title="E27">A1</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c7">A</font>, <font color="Maroon" title="c8">B</font>, <font color="Maroon" title="c9">C</font> be    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">F</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c7">A</font>,<font color="Maroon" title="c8">B</font><br/> for <font color="Olive" title="b2">G</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c8">B</font>,<font color="Maroon" title="c9">C</font>  st <font color="Olive" title="b1">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> &amp; <font color="Olive" title="b2">G</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> holds <br/><font color="Olive" title="b2">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Olive" title="b1">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font></span><br/><b>let </b><font color="Maroon" title="c10">F</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c7">A</font>,<font color="Maroon" title="c8">B</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">G</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c8">B</font>,<font color="Maroon" title="c9">C</font>  st <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> &amp; <font color="Olive" title="b1">G</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> holds <br/><font color="Olive" title="b1">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font></span><br/><b>let </b><font color="Maroon" title="c11">G</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c8">B</font>,<font color="Maroon" title="c9">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> &amp; <font color="Maroon" title="c11">G</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> implies <font color="Maroon" title="c11">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> )</span><br/><b>assume </b><a NAME="E1:43_1"/>
( <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> &amp; <font color="Maroon" title="c11">G</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c11">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font></span><br/><a NAME="E2:43_1"/>
( <font color="Maroon" title="c11">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c7">A</font>,<font color="Maroon" title="c9">C</font> &amp;  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c7">A</font>,<font color="Maroon" title="c9">C</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span>)</span> where <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> is    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font> : verum </span>}</span>  )
 <b>by </b><i><a class="ref" href="cat_2.html#D2" title="CAT_2:def.2">CAT_2:def 2</a></i>;<br/><b>hence </b><a NAME="E3:43_1"/>
<font color="Maroon" title="c11">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c10">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font>
 <b>by </b><i><a class="ref" href="tarski.html#D4" title="TARSKI:def.4">TARSKI:def 4</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c7">A</font> be    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c7">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font></span><br/><a NAME="E1:43_2"/>
(  <a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c7">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c7">A</font>,<font color="Maroon" title="c7">A</font> &amp;  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c7">A</font>,<font color="Maroon" title="c7">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span>)</span> where <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> is    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font> : verum </span>}</span>  )
 <b>by </b><i><a class="ref" href="cat_2.html#D2" title="CAT_2:def.2">CAT_2:def 2</a></i>;<br/><b>hence </b><a NAME="E2:43_2"/>
 <a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c7">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font>
 <b>by </b><i><a class="ref" href="tarski.html#D4" title="TARSKI:def.4">TARSKI:def 4</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<b>then consider </b><font color="Maroon" title="c7">C</font> being  <a href="cat_1.html#V1" title="CAT_1:attr.1">strict</a> <a href="cat_5.html#V3" title="CAT_5:attr.3">Categorial</a> <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><b> such that </b><br/><a NAME="E7:43"/><i><font color="Green" title="E28">A2</font></i>: 
( the <a href="graph_1.html#U1" title="GRAPH_1:sel.1">Vertices</a> of <font color="Maroon" title="c7">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">AA</font> &amp; ( for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being   <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font><br/> for <font color="Olive" title="b3">F</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font> holds <br/> ( <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<font color="Olive" title="b3">F</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c7">C</font> iff <font color="Olive" title="b3">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font> ) ) )
 <b>by </b><i><a class="txt" href="cat_5.html#E4:43"><i><font color="Green" title="E27">A1</font></i></a>, <a class="ref" href="cat_5.html#T17" target="_self" title="CAT_5:th.17">Th17</a></i>;<br/>
<a NAME="E8:43"/>
<font color="Maroon" title="c7">C</font> is <a href="cat_5.html#V4" title="CAT_5:attr.4">full</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_3"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c8">a</font>, <font color="Maroon" title="c9">b</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="cat_5.html#D8" target="_self" title="CAT_5:def.8">CAT_5:def 8</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c8">a</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c7">C</font> &amp; <font color="Maroon" title="c9">b</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c7">C</font> implies for <font color="Olive" title="b1">F</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> holds  <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<font color="Olive" title="b1">F</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c7">C</font> )</span><br/>

<b>assume </b><a NAME="E1:43_3"/>
( <font color="Maroon" title="c8">a</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c7">C</font> &amp; <font color="Maroon" title="c9">b</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c7">C</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">F</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> holds  <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<font color="Olive" title="b1">F</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c7">C</font></span><br/>

<b>then reconsider </b><font color="Maroon" title="c10">A</font> = <font color="Maroon" title="c8">a</font>, <font color="Maroon" title="c11">B</font> = <font color="Maroon" title="c9">b</font> as    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font> <b>by </b><i><a class="txt" href="cat_5.html#E7:43"><i><font color="Green" title="E28">A2</font></i></a></i>;<br/>
<b>let </b><font color="Maroon" title="c12">F</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<font color="Maroon" title="c12">F</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c7">C</font></span><br/>

<a NAME="E3:43_3"/>
( <font color="Maroon" title="c12">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c10">A</font>,<font color="Maroon" title="c11">B</font> &amp;  <a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Maroon" title="c10">A</font>,<font color="Maroon" title="c11">B</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_2.html#K7" title="CAT_2:func.7">Funct</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span>)</span> where <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> is    <a href="cat_5.html#M1" title="CAT_5:mode.1">Element</a> of <font color="Maroon" title="c1">AA</font> : verum </span>}</span>  )
 
<b>by </b><i><a class="ref" href="cat_2.html#D2" title="CAT_2:def.2">CAT_2:def 2</a></i>;<br/>
<a NAME="E4:43_3"/><b>then </b>
<font color="Maroon" title="c12">F</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">FF</font>
 
<b>by </b><i><a class="ref" href="tarski.html#D4" title="TARSKI:def.4">TARSKI:def 4</a></i>;<br/>
<a NAME="E5:43_3"/><b>then </b>
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c10">A</font>,<font color="Maroon" title="c11">B</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<font color="Maroon" title="c12">F</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c7">C</font>
 
<b>by </b><i><a class="txt" href="cat_5.html#E7:43"><i><font color="Green" title="E28">A2</font></i></a></i>;<br/>
<b>hence </b><a NAME="E6:43_3"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<font color="Maroon" title="c12">F</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c7">C</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E9:43"/>
 ex <font color="Olive" title="b1">C</font> being <a href="cat_1.html#V1" title="CAT_1:attr.1">strict</a> <a href="cat_5.html#V3" title="CAT_5:attr.3">Categorial</a> <a href="cat_5.html#V4" title="CAT_5:attr.4">full</a> <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a> st the <a href="graph_1.html#U1" title="GRAPH_1:sel.1">Vertices</a> of <font color="Olive" title="b1">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">AA</font>
 <b>by </b><i><a class="txt" href="cat_5.html#E7:43"><i><font color="Green" title="E28">A2</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
