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

<b>let </b><font color="Maroon">C1</font> be  <a href="cat_1.html#V1">strict</a> <a href="cat_5.html#V1" target="_self">with_triple-like_morphisms</a> <a href="cat_1.html#NM4">Category</a>, <font color="Maroon">C2</font> be  <a href="cat_1.html#V1">strict</a> <a href="cat_5.html#V1" target="_self">with_triple-like_morphisms</a> <a href="cat_1.html#NM4">Category</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:9_1"/><i><font color="Green">E40</font></i>: 
the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">C1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>1</sub></font>()
 <b>and </b><br/><a NAME="E2:9_1"/><i><font color="Green">E41</font></i>: 
for <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()<br/> for <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()  st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">a</font>,<font color="Olive">b</font>,<font color="Olive">f</font>] holds <br/><span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> is   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font>
 <b>and </b><br/><a NAME="E3:9_1"/><i><font color="Green">E46</font></i>: 
for <font color="Olive">m</font> being  <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font>  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() ex <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() st <br/>( <font color="Olive">m</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">a</font>,<font color="Olive">b</font>,<font color="Olive">f</font>] )
 <b>and </b><br/><a NAME="E4:9_1"/><i><font color="Green">E47</font></i>: 
for <font color="Olive">m1</font>, <font color="Olive">m2</font> being  <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font><br/> for <font color="Olive">a1</font>, <font color="Olive">a2</font>, <font color="Olive">a3</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()<br/> for <font color="Olive">f1</font>, <font color="Olive">f2</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()  st <font color="Olive">m1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a1</font>,<font color="Olive">a2</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f1</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Olive">m2</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a2</font>,<font color="Olive">a3</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f2</font></span><a href="domain_1.html#K1">]</a></span> holds <br/><font color="Olive">m2</font> <a href="cat_1.html#K4">*</a> <font color="Olive">m1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a1</font>,<font color="Olive">a3</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">F<sub>3</sub></font>(<font color="Olive">f2</font>,<font color="Olive">f1</font>)</span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E5:9_1"/><i><font color="Green">E48</font></i>: 
the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">C2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>1</sub></font>()
 <b>and </b><br/><a NAME="E6:9_1"/><i><font color="Green">E49</font></i>: 
for <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()<br/> for <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()  st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">a</font>,<font color="Olive">b</font>,<font color="Olive">f</font>] holds <br/><span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> is   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font>
 <b>and </b><br/><a NAME="E7:9_1"/><i><font color="Green">E51</font></i>: 
for <font color="Olive">m</font> being  <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font>  ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() ex <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() st <br/>( <font color="Olive">m</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">a</font>,<font color="Olive">b</font>,<font color="Olive">f</font>] )
 <b>and </b><br/><a NAME="E8:9_1"/><i><font color="Green">E53</font></i>: 
for <font color="Olive">m1</font>, <font color="Olive">m2</font> being  <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font><br/> for <font color="Olive">a1</font>, <font color="Olive">a2</font>, <font color="Olive">a3</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()<br/> for <font color="Olive">f1</font>, <font color="Olive">f2</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()  st <font color="Olive">m1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a1</font>,<font color="Olive">a2</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f1</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Olive">m2</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a2</font>,<font color="Olive">a3</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f2</font></span><a href="domain_1.html#K1">]</a></span> holds <br/><font color="Olive">m2</font> <a href="cat_1.html#K4">*</a> <font color="Olive">m1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a1</font>,<font color="Olive">a3</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">F<sub>3</sub></font>(<font color="Olive">f2</font>,<font color="Olive">f1</font>)</span><a href="tarski.html#K4">]</a></span>
 ;<br/>

<a NAME="E9:9_1"/><i><font color="Green">E54</font></i>: 
the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_1"><b>proof </b></a><div class="add">

<div><b>hereby </b> <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a>,<a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a>
<div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:9_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>
 ;<br/><a NAME="E2:9_1_1_1"/><b>then </b>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() ex <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() st <br/>( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">a</font>,<font color="Olive">b</font>,<font color="Olive">f</font>] )
 <b>by </b><i/>;<br/><a NAME="E3:9_1_1_1"/><b>then </b>
<font color="Maroon">x</font> is   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E4:9_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font>
 ;<br/></div>
<b>end;</b></div>

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:9_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font>
 ;<br/>

<a NAME="E3:9_1_1"/><b>then </b>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() ex <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() st <br/>( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Olive">a</font>,<font color="Olive">b</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Olive">f</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">a</font>,<font color="Olive">b</font>,<font color="Olive">f</font>] )
 
<b>by </b><i/>;<br/>
<a NAME="E4:9_1_1"/><b>then </b>
<font color="Maroon">x</font> is   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:9_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E10:9_1"/><i><font color="Green">E56</font></i>: 
(  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C1</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C2</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C1</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C2</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U6">Id</a> of <font color="Maroon">C1</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">C1</font> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U6">Id</a> of <font color="Maroon">C2</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">C2</font> )
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:9_1_2"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>
 ;<br/><b>then reconsider </b><font color="Maroon">m1</font> = <font color="Maroon">x</font> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font> ;<br/><b>reconsider </b><font color="Maroon">m2</font> = <font color="Maroon">m1</font> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font> <b>by </b><i/>;<br/><b>thus </b>the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
 <a href="cat_1.html#K2">dom</a> <font color="Maroon">m1</font>

<br/>.= 
<font color="Maroon">m1</font> <a href="cat_5.html#K4" target="_self">`11</a> 
<b>by </b><i/>
<br/>.= 
 <a href="cat_1.html#K2">dom</a> <font color="Maroon">m2</font>
<b>by </b><i/>
<br/>.= 
the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>

;<br/></div><b>end;</b></div>
<a NAME="E12:9_1"/><b>then </b><i><font color="Green">E60</font></i>: 
the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C1</font> <a href="funct_2.html#R1">=</a> the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C2</font>
 
<b>by </b><i>, , <a class="ref" href="funct_1.html#T9">FUNCT_1:9</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:9_1_3"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>
 ;<br/><b>then reconsider </b><font color="Maroon">m1</font> = <font color="Maroon">x</font> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font> ;<br/><b>reconsider </b><font color="Maroon">m2</font> = <font color="Maroon">m1</font> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font> <b>by </b><i/>;<br/><b>thus </b>the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
 <a href="cat_1.html#K3">cod</a> <font color="Maroon">m1</font>

<br/>.= 
<font color="Maroon">m1</font> <a href="cat_5.html#K5" target="_self">`12</a> 
<b>by </b><i/>
<br/>.= 
 <a href="cat_1.html#K3">cod</a> <font color="Maroon">m2</font>
<b>by </b><i/>
<br/>.= 
the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>

;<br/></div><b>end;</b></div>
<a NAME="E14:9_1"/><b>then </b><i><font color="Green">E64</font></i>: 
the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C1</font> <a href="funct_2.html#R1">=</a> the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C2</font>
 
<b>by </b><i>, , <a class="ref" href="funct_1.html#T9">FUNCT_1:9</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_4"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:9_1_4"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F<sub>1</sub></font>()
 ;<br/><b>then reconsider </b><font color="Maroon">a</font> = <font color="Maroon">x</font> as    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() ;<br/><b>consider </b><font color="Maroon">f</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()<b> such that </b><br/><a NAME="E4:9_1_4"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">a</font>,<font color="Maroon">a</font>,<font color="Maroon">f</font>]
 <b>and </b><br/><a NAME="E5:9_1_4"/><i><font color="Green">E67</font></i>: 
for <font color="Olive">b</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()<br/> for <font color="Olive">g</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() holds <br/> ( ( <font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">a</font>,<font color="Olive">b</font>,<font color="Olive">g</font>] implies <font color="Maroon">F<sub>3</sub></font>(<font color="Olive">g</font>,<font color="Maroon">f</font>) <a href="hidden.html#R1">=</a> <font color="Olive">g</font> ) &amp; ( <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">b</font>,<font color="Maroon">a</font>,<font color="Olive">g</font>] implies <font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">f</font>,<font color="Olive">g</font>) <a href="hidden.html#R1">=</a> <font color="Olive">g</font> ) )
 <b>by </b><i/>;<br/><b>reconsider </b><font color="Maroon">o1</font> = <font color="Maroon">a</font> as   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C1</font> <b>by </b><i/>;<br/><b>consider </b><font color="Maroon">a1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">b1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">f1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()<b> such that </b><br/><a NAME="E8:9_1_4"/><i><font color="Green">E68</font></i>: 
(  <a href="cat_1.html#K10">id</a> <font color="Maroon">o1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a1</font>,<font color="Maroon">b1</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">f1</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">a1</font>,<font color="Maroon">b1</font>,<font color="Maroon">f1</font>] )
 <b>by </b><i/>;<br/><b>reconsider </b><font color="Maroon">o2</font> = <font color="Maroon">a</font> as   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C2</font> <b>by </b><i/>;<br/><b>consider </b><font color="Maroon">a2</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">b2</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">f2</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()<b> such that </b><br/><a NAME="E11:9_1_4"/><i><font color="Green">E70</font></i>: 
(  <a href="cat_1.html#K10">id</a> <font color="Maroon">o2</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a2</font>,<font color="Maroon">b2</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">f2</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">a2</font>,<font color="Maroon">b2</font>,<font color="Maroon">f2</font>] )
 <b>by </b><i/>;<br/><a NAME="E12:9_1_4"/>
(  <a href="cat_1.html#K2">dom</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o1</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">o1</font> &amp;  <a href="cat_1.html#K3">cod</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o1</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">o1</font> &amp;  <a href="cat_1.html#K2">dom</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o2</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">o2</font> &amp;  <a href="cat_1.html#K3">cod</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o2</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">o2</font> )
 <b>by </b><i><a class="ref" href="cat_1.html#T44">CAT_1:44</a></i>;<br/><a NAME="E13:9_1_4"/><b>then </b>
( <font color="Maroon">o1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o1</font></span>)</span> <a href="cat_5.html#K4" target="_self">`11</a>  &amp; <font color="Maroon">o1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o1</font></span>)</span> <a href="cat_5.html#K5" target="_self">`12</a>  &amp; <font color="Maroon">o2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o2</font></span>)</span> <a href="cat_5.html#K4" target="_self">`11</a>  &amp; <font color="Maroon">o2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o2</font></span>)</span> <a href="cat_5.html#K5" target="_self">`12</a>  )
 <b>by </b><i/>;<br/><a NAME="E14:9_1_4"/><b>then </b><i><font color="Green">E71</font></i>: 
( <font color="Maroon">o1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a1</font> &amp; <font color="Maroon">o1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b1</font> &amp; <font color="Maroon">o2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a2</font> &amp; <font color="Maroon">o2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b2</font> )
 <b>by </b><i>, , <a class="ref" href="mcart_1.html#T89">MCART_1:89</a></i>;<br/><b>reconsider </b><font color="Maroon">m1</font> = <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">a</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">f</font></span><a href="domain_1.html#K1">]</a></span> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font> <b>by </b><i>, <a class="txt" href="cat_5.html#E1:9"><i><font color="Green">E17</font></i></a></i>;<br/><b>reconsider </b><font color="Maroon">m2</font> = <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">a</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">f</font></span><a href="domain_1.html#K1">]</a></span> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font> <b>by </b><i>, <a class="txt" href="cat_5.html#E1:9"><i><font color="Green">E17</font></i></a></i>;<br/> <a href="cat_1.html#K3">cod</a> <font color="Maroon">m1</font> = 
<font color="Maroon">m1</font> <a href="cat_5.html#K5" target="_self">`12</a> 
<b>by </b><i/>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="mcart_1.html#T89">MCART_1:89</a></i>
;<br/><b>then </b><i><font color="Green">E73</font></i>: <font color="Maroon">m1</font> = 
<span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o1</font></span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">m1</font>
<b>by </b><i><a class="ref" href="cat_1.html#T46">CAT_1:46</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">a</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">f1</font>,<font color="Maroon">f</font>)</span><a href="tarski.html#K4">]</a></span>
<b>by </b><i>, , </i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">a</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">f1</font></span><a href="domain_1.html#K1">]</a></span>
<b>by </b><i>, , </i>
;<br/> <a href="cat_1.html#K3">cod</a> <font color="Maroon">m2</font> = 
<font color="Maroon">m2</font> <a href="cat_5.html#K5" target="_self">`12</a> 
<b>by </b><i/>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="mcart_1.html#T89">MCART_1:89</a></i>
;<br/><b>then </b><i><font color="Green">E75</font></i>: <font color="Maroon">m2</font> = 
<span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o2</font></span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">m2</font>
<b>by </b><i><a class="ref" href="cat_1.html#T46">CAT_1:46</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">a</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">f2</font>,<font color="Maroon">f</font>)</span><a href="tarski.html#K4">]</a></span>
<b>by </b><i>, , </i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">a</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">f2</font></span><a href="domain_1.html#K1">]</a></span>
<b>by </b><i>, , </i>
;<br/><b>thus </b><a NAME="E21:9_1_4"/>
the <a href="cat_1.html#U6">Id</a> of <font color="Maroon">C1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U6">Id</a> of <font color="Maroon">C2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
 <b>by </b><i>, , , , <a class="ref" href="cat_5.html#D1" target="_self">Def1</a></i>;<br/></div><b>end;</b></div>
<a NAME="E16:9_1"/><b>then </b><i><font color="Green">E76</font></i>: 
the <a href="cat_1.html#U6">Id</a> of <font color="Maroon">C1</font> <a href="funct_2.html#R1">=</a> the <a href="cat_1.html#U6">Id</a> of <font color="Maroon">C2</font>
 
<b>by </b><i>, , , <a class="ref" href="funct_1.html#T9">FUNCT_1:9</a></i>;<br/>
<a NAME="E17:9_1"/><i><font color="Green">E77</font></i>: 
(  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C1</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font></span><a href="zfmisc_1.html#K2">:]</a></span> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C2</font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font></span><a href="zfmisc_1.html#K2">:]</a></span> )
 
<b>by </b><i/>;<br/>
<a NAME="E18:9_1"/><i><font color="Green">E78</font></i>: 
 <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C1</font> <a href="hidden.html#R1">=</a>  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C2</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_5"><b>proof </b></a><div class="add">

<div><b>hereby </b> <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a>,<a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a>
<div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:9_1_5_1"/><i><font color="Green">E81</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C1</font>
 ;<br/><b>then reconsider </b><font color="Maroon">xx</font> = <font color="Maroon">x</font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font></span><a href="zfmisc_1.html#K2">:]</a></span> ;<br/><b>reconsider </b><font color="Maroon">y</font> = <font color="Maroon">xx</font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font></span><a href="zfmisc_1.html#K2">:]</a></span> <b>by </b><i/>;<br/><a NAME="E4:9_1_5_1"/><i><font color="Green">E82</font></i>: 
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">xx</font> <a href="domain_1.html#K2">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">xx</font> <a href="cat_5.html#K3" target="_self">`2</a> </span>)</span></span><a href="cat_2.html#K13">]</a></span>
 <b>by </b><i><a class="ref" href="mcart_1.html#T23">MCART_1:23</a></i>;<br/><a NAME="E5:9_1_5_1"/><b>then </b>
the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C1</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">xx</font> <a href="domain_1.html#K2">`1</a> </span>)</span> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C1</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">xx</font> <a href="cat_5.html#K3" target="_self">`2</a> </span>)</span>
 <b>by </b><i>, <a class="ref" href="cat_1.html#D8">CAT_1:def 8</a></i>;<br/><b>hence </b><a NAME="E6:9_1_5_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C2</font>
 <b>by </b><i>, <a class="ref" href="cat_5.html#T1" target="_self">Th1</a>, , , <a class="ref" href="cat_1.html#D8">CAT_1:def 8</a></i>;<br/></div>
<b>end;</b></div>

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:9_1_5"/><i><font color="Green">E83</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C2</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">xx</font> = <font color="Maroon">x</font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C1</font></span><a href="zfmisc_1.html#K2">:]</a></span> <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">y</font> = <font color="Maroon">xx</font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C2</font></span><a href="zfmisc_1.html#K2">:]</a></span> <b>by </b><i/>;<br/>
<a NAME="E5:9_1_5"/><i><font color="Green">E84</font></i>: 
<font color="Maroon">xx</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="domain_1.html#K2">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="cat_5.html#K3" target="_self">`2</a> </span>)</span></span><a href="cat_2.html#K13">]</a></span>
 
<b>by </b><i><a class="ref" href="mcart_1.html#T23">MCART_1:23</a></i>;<br/>
<a NAME="E6:9_1_5"/><b>then </b>
the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C2</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="domain_1.html#K2">`1</a> </span>)</span> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U4">Cod</a> of <font color="Maroon">C2</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="cat_5.html#K3" target="_self">`2</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="cat_1.html#D8">CAT_1:def 8</a></i>;<br/>
<b>hence </b><a NAME="E7:9_1_5"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C1</font>
 <b>by </b><i>, <a class="ref" href="cat_5.html#T1" target="_self">Th1</a>, , , <a class="ref" href="cat_1.html#D8">CAT_1:def 8</a></i>;<br/>


</div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_6"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:9_1_6"/><i><font color="Green">E88</font></i>: 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C1</font>
 ;<br/><b>then reconsider </b><font color="Maroon">g1</font> = <font color="Maroon">x</font>, <font color="Maroon">h1</font> = <font color="Maroon">y</font> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C1</font> <b>by </b><i><a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/><b>reconsider </b><font color="Maroon">g2</font> = <font color="Maroon">g1</font>, <font color="Maroon">h2</font> = <font color="Maroon">h1</font> as   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C2</font> <b>by </b><i/>;<br/><b>consider </b><font color="Maroon">a1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">b1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">f1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()<b> such that </b><br/><a NAME="E5:9_1_6"/><i><font color="Green">E89</font></i>: 
( <font color="Maroon">g1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a1</font>,<font color="Maroon">b1</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">f1</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">a1</font>,<font color="Maroon">b1</font>,<font color="Maroon">f1</font>] )
 <b>by </b><i/>;<br/><b>consider </b><font color="Maroon">c1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">d1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">i1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()<b> such that </b><br/><a NAME="E7:9_1_6"/><i><font color="Green">E92</font></i>: 
( <font color="Maroon">h1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">c1</font>,<font color="Maroon">d1</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">i1</font></span><a href="domain_1.html#K1">]</a></span> &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">c1</font>,<font color="Maroon">d1</font>,<font color="Maroon">i1</font>] )
 <b>by </b><i/>;<br/><i><font color="Green">E93</font></i>: <font color="Maroon">a1</font> = 
<font color="Maroon">g1</font> <a href="cat_5.html#K4" target="_self">`11</a> 
<b>by </b><i>, <a class="ref" href="mcart_1.html#T89">MCART_1:89</a></i>
<br/>.= 
 <a href="cat_1.html#K2">dom</a> <font color="Maroon">g1</font>
<b>by </b><i/>
<br/>.= 
 <a href="cat_1.html#K3">cod</a> <font color="Maroon">h1</font>
<b>by </b><i>, <a class="ref" href="cat_1.html#T40">CAT_1:40</a></i>
<br/>.= 
<font color="Maroon">h1</font> <a href="cat_5.html#K5" target="_self">`12</a> 
<b>by </b><i/>
<br/>.= 
<font color="Maroon">d1</font>
<b>by </b><i>, <a class="ref" href="mcart_1.html#T89">MCART_1:89</a></i>
;<br/><b>thus </b>the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C1</font> <a href="funct_1.html#K1">.</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> = 
<font color="Maroon">g1</font> <a href="cat_1.html#K4">*</a> <font color="Maroon">h1</font>
<b>by </b><i>, <a class="ref" href="cat_1.html#D4">CAT_1:def 4</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">c1</font>,<font color="Maroon">b1</font></span><a href="domain_1.html#K1">]</a></span>,<font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">f1</font>,<font color="Maroon">i1</font>)</span><a href="tarski.html#K4">]</a></span>
<b>by </b><i>, , , <a class="ref" href="cat_5.html#D1" target="_self">Def1</a></i>
<br/>.= 
<font color="Maroon">g2</font> <a href="cat_1.html#K4">*</a> <font color="Maroon">h2</font>
<b>by </b><i>, , , <a class="ref" href="cat_5.html#D1" target="_self">Def1</a></i>
<br/>.= 
the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C2</font> <a href="funct_1.html#K1">.</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i>, , <a class="ref" href="cat_1.html#D4">CAT_1:def 4</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E20:9_1"/>
<font color="Maroon">C1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">C2</font>
 <b>by </b><i>, , , <a class="ref" href="cat_5.html#T1" target="_self">Th1</a>, , <a class="txt" href="cat_5.html#E1:9"><i><font color="Green">E17</font></i></a>, , <a class="ref" href="partfun1.html#T35">PARTFUN1:35</a></i>;<br/>


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