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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: PCS_0:41</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#K24" title="PCS_0:func.24">--&gt;</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; (  not <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></div></div>
