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the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">C</font> is <a href="cat_5.html#V2" target="_self">categorial</a>
 
<b>by </b><i/>;<br/>
<b>then reconsider </b><font color="Maroon">A</font> =  <a href="cat_1.html#K2">dom</a> <font color="Maroon">m</font>, <font color="Maroon">B</font> =  <a href="cat_1.html#K3">cod</a> <font color="Maroon">m</font> as   <a href="cat_1.html#NM4">Category</a> <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">F</font> being    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font><b> such that </b><br/><a NAME="E4:37_1_1"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">m</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">A</font>,<font color="Maroon">B</font></span><a href="tarski.html#K4">]</a></span>,<font color="Maroon">F</font></span><a href="tarski.html#K4">]</a></span>
 <b>by </b><i/>;<br/>
<a NAME="E5:37_1_1"/>
( <font color="Maroon">m</font> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> &amp;  <a href="cat_5.html#K10" target="_self">cat</a> <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A</font> &amp;  <a href="cat_5.html#K10" target="_self">cat</a> <font color="Maroon">B</font> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font> )
 
<b>by </b><i><a class="ref" href="cat_5.html#D1" target="_self">Def1</a>, , <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E6:37_1_1"/>
<font color="Maroon">m</font> <a href="mcart_1.html#K2">`2</a>  is    <a href="cat_1.html#M2">Functor</a> of  <a href="cat_5.html#K10" target="_self">cat</a> <span class="p1">(<span class="default"><a href="cat_1.html#K2">dom</a> <font color="Maroon">m</font></span>)</span>, <a href="cat_5.html#K10" target="_self">cat</a> <span class="p1">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">m</font></span>)</span>
 ;<br/>


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