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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: PCS_0:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   <a href="pcs_0.html#NM1" title="PCS_0:NM.1">pcs</a><br/>  for <font color="Olive" title="b2">a</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  not <font color="Olive" title="b2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">P</font> holds <br/> <a href="pcs_0.html#K21" title="PCS_0:func.21">pcs-extension</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">a</font>) is   <a href="pcs_0.html#NM1" title="PCS_0:NM.1">pcs</a></div></div>
