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

<b>let </b><font color="Maroon">UA</font> be   <a href="unialg_1.html#NM2">Universal_Algebra</a>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">UA</font>,<font color="Maroon">UA</font>;<br/>



<b>assume </b><a NAME="E1:6"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">f</font> <a href="alg_1.html#R4">is_isomorphism</a> <font color="Maroon">UA</font>,<font color="Maroon">UA</font>
 ;<br/>

<a NAME="E2:6"/><b>then </b><i><font color="Green">E34</font></i>: 
<font color="Maroon">f</font> is <a href="funct_1.html#V2">one-to-one</a>
 
<b>by </b><i><a class="ref" href="alg_1.html#T8">ALG_1:8</a></i>;<br/>
<a NAME="E3:6"/>
<font color="Maroon">f</font> <a href="alg_1.html#R3">is_epimorphism</a> <font color="Maroon">UA</font>,<font color="Maroon">UA</font>
 
<b>by </b><i>, <a class="ref" href="alg_1.html#D4">ALG_1:def 4</a></i>;<br/>
<a NAME="E4:6"/><b>then </b>
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">UA</font>
 
<b>by </b><i><a class="ref" href="alg_1.html#D3">ALG_1:def 3</a></i>;<br/>
<b>hence </b><a NAME="E5:6"/>
<font color="Maroon">f</font> <a href="funct_1.html#K2">"</a>  is   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">UA</font>,<font color="Maroon">UA</font>
 <b>by </b><i>, <a class="ref" href="funct_2.html#T31">FUNCT_2:31</a></i>;<br/>


</div>
