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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th14</font></span>: <a NAME="T6"><span class="comment"><font color="firebrick">:: HILBERT4:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">V</font> being   <a href="hilbert3.html#NM1" title="HILBERT3:NM.1">SetValuation</a><br/>  for <font color="Olive" title="b3">P</font> being    <a href="hilbert3.html#M1" title="HILBERT3:mode.1">Permutation</a> of <font color="Olive" title="b2">V</font><br/>  for <font color="Olive" title="b4">p</font>, <font color="Olive" title="b5">q</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="hilbert1.html#K1" title="HILBERT1:func.1">HP-WFF</a>   st <font color="Olive" title="b1">x</font> <a href="abian.html#R1" title="ABIAN:pred.1">is_a_fixpoint_of</a>  <a href="hilbert3.html#K5" title="HILBERT3:func.5">Perm</a> (<font color="Olive" title="b3">P</font>,<font color="Olive" title="b5">q</font>) holds <br/><span class="p1">(<span class="default"><a href="hilbert3.html#K3" title="HILBERT3:func.3">SetVal</a> (<font color="Olive" title="b2">V</font>,<font color="Olive" title="b4">p</font>)</span>)</span> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Olive" title="b1">x</font> <a href="abian.html#R1" title="ABIAN:pred.1">is_a_fixpoint_of</a>  <a href="hilbert3.html#K5" title="HILBERT3:func.5">Perm</a> (<font color="Olive" title="b3">P</font>,<span class="p1">(<span class="default"><font color="Olive" title="b4">p</font> <a href="hilbert1.html#K3" title="HILBERT1:func.3">=&gt;</a> <font color="Olive" title="b5">q</font></span>)</span>)</div></div>
