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

<b>let </b><font color="Maroon">V</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">C</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>;<br/>







<b>assume </b><a NAME="E1:89"/><i><font color="Green">E16</font></i>: 
 <a href="ens_1.html#K17" target="_self">Hom</a> <font color="Maroon">C</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">V</font>
 ;<br/>

<a NAME="E2:89"/>
 <a href="cat_1.html#K6">Hom</a> <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="hidden.html#R2">in</a>  <a href="ens_1.html#K17" target="_self">Hom</a> <font color="Maroon">C</font>
 
;<br/>
<b>then reconsider </b><font color="Maroon">A</font> =  <a href="cat_1.html#K6">Hom</a> <font color="Maroon">a</font>,<font color="Maroon">b</font> as    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">V</font> <b>by </b><i/>;<br/>
<b>set </b><font color="Maroon">d</font> =  <a href="ens_1.html#K13" target="_self">@</a> <font color="Maroon">A</font>;<br/>
<span class="p1">(<span class="default"><a href="ens_1.html#K24" target="_self">hom?-</a> <font color="Maroon">V</font>,<font color="Maroon">a</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">b</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ens_1.html#K20" target="_self">hom?-</a> <font color="Maroon">a</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">b</font></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
 <a href="cat_1.html#K10">id</a> <span class="p1">(<span class="default"><a href="ens_1.html#K13" target="_self">@</a> <font color="Maroon">A</font></span>)</span>
<b>by </b><i>, <a class="ref" href="ens_1.html#T12" target="_self">Th12</a></i>
;<br/>
<b>hence </b><a NAME="E5:89"/>
<span class="p1">(<span class="default"><a href="cat_1.html#K12">Obj</a> <span class="p2">(<span class="default"><a href="ens_1.html#K24" target="_self">hom?-</a> <font color="Maroon">V</font>,<font color="Maroon">a</font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a>  <a href="cat_1.html#K6">Hom</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="cat_1.html#T103">CAT_1:103</a></i>;<br/>


</div>
