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

<b>let </b><font color="Maroon">I</font> be    <a href="hidden.html#M1">set</a> ;<br/><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>let </b><font color="Maroon">F</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">I</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">G</font> be    <a href="cat_3.html#M1" target="_self">Projections_family</a> of <font color="Maroon">a</font>,<font color="Maroon">I</font>;<br/>









<b>assume </b><a NAME="E1:60"/>
 <a href="cat_3.html#K3" target="_self">doms</a> <font color="Maroon">F</font> <a href="funct_2.html#R2">=</a>  <a href="cat_3.html#K4" target="_self">cods</a> <font color="Maroon">G</font>
 ;<br/>

<a NAME="E2:60"/><b>then </b>
 <a href="cat_3.html#K3" target="_self">doms</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="cat_3.html#K9" target="_self">"*"</a> <font color="Maroon">G</font></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="cat_3.html#K3" target="_self">doms</a> <font color="Maroon">G</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:60"/>
 <a href="cat_3.html#K3" target="_self">doms</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="cat_3.html#K9" target="_self">"*"</a> <font color="Maroon">G</font></span>)</span> <a href="funct_2.html#R2">=</a> <font color="Maroon">I</font> <a href="cat_3.html#K1" target="_self">--&gt;</a> <font color="Maroon">a</font>
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="cat_3.html#D14" target="_self">CAT_3:def 14</a><br/>


</div>
