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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: PCS_0:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being    <a href="pcs_0.html#L1" title="PCS_0:struct.1">TolStr</a> <br/>  for <font color="Olive" title="b2">D</font> being   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <font color="Olive" title="b1">P</font><br/>  for <font color="Olive" title="b3">A</font>, <font color="Olive" title="b4">B</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b3">A</font>,<font color="Olive" title="b4">B</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="pcs_0.html#K26" title="PCS_0:func.26">pcs-general-power-TR</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">D</font>) iff ( <font color="Olive" title="b3">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">D</font> &amp; <font color="Olive" title="b4">B</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">D</font> &amp; (  for <font color="Olive" title="b5">a</font>, <font color="Olive" title="b6">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">P</font>  st <font color="Olive" title="b5">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">A</font> &amp; <font color="Olive" title="b6">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">B</font> holds <br/><font color="Olive" title="b5">a</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Olive" title="b6">b</font> ) ) )</div></div>
