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

<b>let </b><font color="Maroon">C</font> be   <a href="cat_4.html#NM1">Cartesian_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">f1</font> be    <a href="cat_1.html#M1">Morphism</a> of <font color="Maroon">a</font>, <a href="cat_4.html#K1" target="_self">[1]</a> <font color="Maroon">C</font>, <font color="Maroon">f2</font> be    <a href="cat_1.html#M1">Morphism</a> of <font color="Maroon">a</font>, <a href="cat_4.html#K1" target="_self">[1]</a> <font color="Maroon">C</font>;<br/>





<a NAME="E1:21"/>
 <a href="cat_4.html#K1" target="_self">[1]</a> <font color="Maroon">C</font> is <a href="cat_1.html#V6">terminal</a>
 
<b>by </b><i/>;<br/>
<b>then consider </b><font color="Maroon">f</font> being    <a href="cat_1.html#M1">Morphism</a> of <font color="Maroon">a</font>, <a href="cat_4.html#K1" target="_self">[1]</a> <font color="Maroon">C</font><b> such that </b><br/><a NAME="E3:21"/><i><font color="Green">E34</font></i>: 
for <font color="Olive">g</font> being   <a href="cat_1.html#M1">Morphism</a> of <font color="Maroon">a</font>, <a href="cat_4.html#K1" target="_self">[1]</a> <font color="Maroon">C</font> holds  <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Olive">g</font>
 <b>by </b><i><a class="ref" href="cat_1.html#D15">CAT_1:def 15</a></i>;<br/>
<b>thus </b><font color="Maroon">f1</font> = 
<font color="Maroon">f</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">f2</font>
<b>by </b><i/>
;<br/>


</div>
