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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: ABSRED_0:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="absred_0.html#L1" title="ABSRED_0:struct.1">ARS</a> <br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">x</font> <a href="absred_0.html#R6" title="ABSRED_0:pred.6">&lt;=01=&gt;</a> <font color="Olive" title="b3">y</font> &amp; <font color="Olive" title="b3">y</font> <a href="absred_0.html#R5" title="ABSRED_0:pred.5">&lt;==&gt;</a> <font color="Olive" title="b4">z</font> holds <br/><font color="Olive" title="b2">x</font> <a href="absred_0.html#R7" title="ABSRED_0:pred.7">&lt;=*=&gt;</a> <font color="Olive" title="b4">z</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="absred_0.html#T40" target="_self" onmouseover="rs('absred_0/T40')" onmouseout="rh()">Lem4A</a></span>;<br/></div></div>
