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

<b>let </b><font color="Maroon">F</font> be  <a href="ringcat1.html#V2" target="_self">strict</a> <a href="ringcat1.html#NM1">RingMorphism</a>;<br/>

<b>consider </b><font color="Maroon">G</font> being   <a href="funcsdom.html#NM1">Ring</a>, <font color="Maroon">H</font> being   <a href="funcsdom.html#NM1">Ring</a><b> such that </b><br/><a NAME="E2:25"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">G</font> <a href="ringcat1.html#R1" target="_self">&lt;=</a> <font color="Maroon">H</font>
 <b>and </b><br/><a NAME="E3:25"/>
(  <a href="ringcat1.html#K1" target="_self">dom</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G</font> &amp;  <a href="ringcat1.html#K2" target="_self">cod</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> )
 <b>and </b><br/><a NAME="E4:25"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">F</font> is    <a href="ringcat1.html#M1" target="_self">Morphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font>
 <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">F'</font> = <font color="Maroon">F</font> as    <a href="ringcat1.html#M1" target="_self">Morphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font> <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">f</font> being   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font><b> such that </b><br/><a NAME="E7:25"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">F'</font> <a href="hidden.html#R1">=</a>  <a href="ringcat1.html#G1" target="_self">RingMorphismStr</a>(# <font color="Maroon">G</font>,<font color="Maroon">H</font>,<font color="Maroon">f</font> #) &amp; <font color="Maroon">f</font> is <a href="ringcat1.html#V1" target="_self">linear</a> )
 <b>by </b><i>, </i>;<br/>
<b>take </b>
<font color="Maroon">G</font>
;<br/>

<b>take </b>
<font color="Maroon">H</font>
;<br/>

<b>take </b>
<font color="Maroon">f</font>
;<br/>

<b>thus </b><a NAME="E8:25"/>
( <font color="Maroon">F</font> is    <a href="ringcat1.html#M1" target="_self">Morphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font> &amp; <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="ringcat1.html#G1" target="_self">RingMorphismStr</a>(# <font color="Maroon">G</font>,<font color="Maroon">H</font>,<font color="Maroon">f</font> #) &amp; <font color="Maroon">f</font> is <a href="ringcat1.html#V1" target="_self">linear</a> )
 <b>by </b><i/>;<br/>


</div>
