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

<b>let </b><font color="Maroon" title="c1">C</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>;<br/><b>let </b><font color="Maroon" title="c2">b</font>, <font color="Maroon" title="c3">a</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font>;<br/><b>let </b><font color="Maroon" title="c4">f</font> be   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c1">C</font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:48"/><i><font color="Green" title="E27">A1</font></i>: 
<font color="Maroon" title="c2">b</font> is <a href="cat_1.html#V6" title="CAT_1:attr.6">terminal</a>
 <b>and </b><br/><a NAME="E2:48"/><i><font color="Green" title="E28">A2</font></i>: 
(  <a href="cat_1.html#K2" title="CAT_1:func.2">dom</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a</font> &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">cod</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">b</font> )
 ;<br/>

<b>consider </b><font color="Maroon" title="c5">h</font> being    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">b</font><b> such that </b><br/><a NAME="E4:48"/><i><font color="Green" title="E29">A3</font></i>: 
for <font color="Olive" title="b1">g</font> being   <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">b</font> holds  <font color="Maroon" title="c5">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font>
 <b>by </b><i><a class="txt" href="cat_3.html#E1:48"><i><font color="Green" title="E27">A1</font></i></a>, <a class="ref" href="cat_1.html#D15" title="CAT_1:def.15">CAT_1:def 15</a></i>;<br/>
<a NAME="E5:48"/>
<font color="Maroon" title="c4">f</font> is    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">b</font>
 
<b>by </b><i><a class="txt" href="cat_3.html#E2:48"><i><font color="Green" title="E28">A2</font></i></a>, <a class="ref" href="cat_1.html#T22" title="CAT_1:th.22">CAT_1:22</a></i>;<br/>
<b>hence </b><font color="Maroon" title="c4">f</font> = 
<font color="Maroon" title="c5">h</font>
<b>by </b><i><a class="txt" href="cat_3.html#E4:48"><i><font color="Green" title="E29">A3</font></i></a></i>
<br/>.= 
 <a href="cat_3.html#K10" title="CAT_3:func.10">term</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">b</font>
<b>by </b><i><a class="txt" href="cat_3.html#E4:48"><i><font color="Green" title="E29">A3</font></i></a></i>
;<br/><br/>


</div>
