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<b>take </b>
<font color="Maroon">C</font>
;<br/>

<b>thus </b><a NAME="E1:15_1_1"/>
( the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">C</font> <a href="tarski.html#R1">c=</a> the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">C</font> &amp; ( for <font color="Olive">a</font>, <font color="Olive">b</font>, <font color="Olive">a'</font>, <font color="Olive">b'</font> being  <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>  st <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Olive">a'</font> &amp; <font color="Olive">b</font> <a href="hidden.html#R1">=</a> <font color="Olive">b'</font> holds <br/> <a href="cat_1.html#K6">Hom</a> <font color="Olive">a</font>,<font color="Olive">b</font> <a href="tarski.html#R1">c=</a>  <a href="cat_1.html#K6">Hom</a> <font color="Olive">a'</font>,<font color="Olive">b'</font> ) &amp; the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C</font> <a href="funct_4.html#NR1" target="_self">&lt;=</a> the <a href="cat_1.html#U5">Comp</a> of <font color="Maroon">C</font> &amp; ( for <font color="Olive">a</font>, <font color="Olive">a'</font> being  <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>  st <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Olive">a'</font> holds <br/> <a href="cat_1.html#K10">id</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a>  <a href="cat_1.html#K10">id</a> <font color="Olive">a'</font> ) )
 ;<br/>


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