<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th38</font></span>: <a NAME="T38"><span class="comment"><font color="firebrick">:: PCS_0:38</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">Q</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pcs_0.html#L2" title="PCS_0:struct.2">pcs-Str</a> <br/>  for <font color="Olive" title="b3">p</font>, <font color="Olive" title="b4">q</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">P</font> <a href="pcs_0.html#K23" title="PCS_0:func.23">pcs-times</a> <font color="Olive" title="b2">Q</font></span>)</span><br/>  for <font color="Olive" title="b5">p1</font>, <font color="Olive" title="b6">p2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">P</font><br/>  for <font color="Olive" title="b7">q1</font>, <font color="Olive" title="b8">q2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">Q</font>  st <font color="Olive" title="b3">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="yellow_3.html#K7" title="YELLOW_3:func.7">[</a><span class="default"><font color="Olive" title="b5">p1</font>,<font color="Olive" title="b7">q1</font></span><a href="yellow_3.html#K7" title="YELLOW_3:func.7">]</a></span> &amp; <font color="Olive" title="b4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="yellow_3.html#K7" title="YELLOW_3:func.7">[</a><span class="default"><font color="Olive" title="b6">p2</font>,<font color="Olive" title="b8">q2</font></span><a href="yellow_3.html#K7" title="YELLOW_3:func.7">]</a></span> &amp; ( <font color="Olive" title="b5">p1</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Olive" title="b6">p2</font> or <font color="Olive" title="b7">q1</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Olive" title="b8">q2</font> ) holds <br/><font color="Olive" title="b3">p</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Olive" title="b4">q</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="pcs_0.html#D2" target="_self" onmouseover="rs('pcs_0/D2')" onmouseout="rh()">Def2</a></span>;<br/></div></div>
