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<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>assume </b><a NAME="E1:69"/>
<font color="Maroon">a</font> is <a href="cat_1.html#V7" target="_self">initial</a>
 ;<br/>

<b>then consider </b><font color="Maroon">f</font> being    <a href="cat_1.html#M1" target="_self">Morphism</a> of <font color="Maroon">a</font>,<font color="Maroon">a</font><b> such that </b><br/><a NAME="E3:69"/><i><font color="Green">E20</font></i>: 
for <font color="Olive">g</font> being   <a href="cat_1.html#M1" target="_self">Morphism</a> of <font color="Maroon">a</font>,<font color="Maroon">a</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#T25" target="_self">Th25</a></i>;<br/>
<b>let </b><font color="Maroon">h</font> be    <a href="cat_1.html#M1" target="_self">Morphism</a> of <font color="Maroon">a</font>,<font color="Maroon">a</font>;<br/>

<a NAME="E4:69"/>
 <a href="cat_1.html#K10" target="_self">id</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:69"/>
 <a href="cat_1.html#K10" target="_self">id</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">h</font>
 <b>by </b><i/>;<br/>


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