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<b>let </b><font color="Maroon" title="c1">V</font> be   <a href="hilbert3.html#NM1" title="HILBERT3:NM.1">SetValuation</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">P</font> being   <a href="hilbert3.html#M1" title="HILBERT3:mode.1">Permutation</a> of <font color="Maroon" title="c1">V</font> holds   <a href="hilbert3.html#K5" title="HILBERT3:func.5">Perm</a> <font color="Olive" title="b1">P</font>,<a href="hilbert1.html#K2" title="HILBERT1:func.2">VERUM</a>  <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="hilbert3.html#K3" title="HILBERT3:func.3">SetVal</a> <font color="Maroon" title="c1">V</font>,<a href="hilbert1.html#K2" title="HILBERT1:func.2">VERUM</a> </span>)</span></span><br/><b>let </b><font color="Maroon" title="c2">P</font> be    <a href="hilbert3.html#M1" title="HILBERT3:mode.1">Permutation</a> of <font color="Maroon" title="c1">V</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="hilbert3.html#K5" title="HILBERT3:func.5">Perm</a> <font color="Maroon" title="c2">P</font>,<a href="hilbert1.html#K2" title="HILBERT1:func.2">VERUM</a>  <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="hilbert3.html#K3" title="HILBERT3:func.3">SetVal</a> <font color="Maroon" title="c1">V</font>,<a href="hilbert1.html#K2" title="HILBERT1:func.2">VERUM</a> </span>)</span></span><br/>



<b>thus </b> <a href="hilbert3.html#K5" title="HILBERT3:func.5">Perm</a> <font color="Maroon" title="c2">P</font>,<a href="hilbert1.html#K2" title="HILBERT1:func.2">VERUM</a>  = 
 <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> 1
<b>by </b><i><a class="ref" href="hilbert3.html#D5" target="_self" title="HILBERT3:def.5">Def5</a></i>
<br/>.= 
 <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="hilbert3.html#K3" title="HILBERT3:func.3">SetVal</a> <font color="Maroon" title="c1">V</font>,<a href="hilbert1.html#K2" title="HILBERT1:func.2">VERUM</a> </span>)</span>
<b>by </b><i><a class="ref" href="hilbert3.html#D2" target="_self" title="HILBERT3:def.2">Def2</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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