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<b>let </b><font color="Maroon">p</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="hilbert1.html#K1">HP-WFF</a> ;<br/>

<b>assume </b><a NAME="E1:63_1_1"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">p</font> is <a href="hilbert3.html#V1" target="_self">canonical</a>
 ;<br/>

<b>let </b><font color="Maroon">V</font> be   <a href="hilbert3.html#NM1">SetValuation</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="hilbert3.html#D8" target="_self">HILBERT3:def 8</a><br/>

<b>consider </b><font color="Maroon">x</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:63_1_1"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">P</font> being   <a href="hilbert3.html#M1" target="_self">Permutation</a> of <font color="Maroon">V</font> holds  <font color="Maroon">x</font> <a href="abian.html#R1">is_a_fixpoint_of</a>  <a href="hilbert3.html#K5" target="_self">Perm</a> <font color="Olive">P</font>,<font color="Maroon">p</font>
 <b>by </b><i>, <a class="ref" href="hilbert3.html#T4" target="_self">Th4</a></i>;<br/>
<b>let </b><font color="Maroon">P</font> be    <a href="hilbert3.html#M1" target="_self">Permutation</a> of <font color="Maroon">V</font>;<br/>

<b>take </b>
<font color="Maroon">x</font>
;<br/>

<b>thus </b><a NAME="E4:63_1_1"/>
<font color="Maroon">x</font> <a href="abian.html#R1">is_a_fixpoint_of</a>  <a href="hilbert3.html#K5" target="_self">Perm</a> <font color="Maroon">P</font>,<font color="Maroon">p</font>
 <b>by </b><i><a class="ref" href="hilbert3.html#T7" target="_self">Th7</a></i>;<br/>


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