<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: RINGCAT1:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="ringcat1.html#V2" title="RINGCAT1:attr.2">strict</a>  <a href="ringcat1.html#NM1" title="RINGCAT1:NM.1">RingMorphism</a> holds <br/> ( <font color="Olive" title="b1">F</font> is    <a href="ringcat1.html#M1" title="RINGCAT1:mode.1">Morphism</a> of  <a href="ringcat1.html#K1" title="RINGCAT1:func.1">dom</a> <font color="Olive" title="b1">F</font>, <a href="ringcat1.html#K2" title="RINGCAT1:func.2">cod</a> <font color="Olive" title="b1">F</font> &amp;  <a href="ringcat1.html#K1" title="RINGCAT1:func.1">dom</a> <font color="Olive" title="b1">F</font> <a href="ringcat1.html#R1" title="RINGCAT1:pred.1">&lt;=</a>  <a href="ringcat1.html#K2" title="RINGCAT1:func.2">cod</a> <font color="Olive" title="b1">F</font> )</div></div>
