<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E33">Def17</font></span>   defines <a href="ringcat1.html#K10" title="RINGCAT1:func.10">Morphs</a> <a onclick="hs(this)" href="javascript:()">RINGCAT1:def 17 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="ringcat1.html#NM3" title="RINGCAT1:NM.3">Ring_DOMAIN</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="ringcat1.html#NM5" title="RINGCAT1:NM.5">RingMorphism_DOMAIN</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ringcat1.html#K10" title="RINGCAT1:func.10">Morphs</a> <font color="Olive" title="b1">V</font> iff  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> iff  ex <font color="Olive" title="b4">G</font>, <font color="Olive" title="b5">H</font> being    <a href="ringcat1.html#M2" title="RINGCAT1:mode.2">Element</a> of <font color="Olive" title="b1">V</font> st <br/>( <font color="Olive" title="b4">G</font> <a href="ringcat1.html#R1" title="RINGCAT1:pred.1">&lt;=</a> <font color="Olive" title="b5">H</font> &amp; <font color="Olive" title="b3">x</font> is    <a href="ringcat1.html#M1" title="RINGCAT1:mode.1">Morphism</a> of <font color="Olive" title="b4">G</font>,<font color="Olive" title="b5">H</font> ) ) );<br/></span></div>
