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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="hilbert1.html#K1" target="_self">HP-WFF</a> ;<br/>



<a NAME="E1:50"/><i><font color="Green">E34</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="hilbert1.html#K6" target="_self">HP_TAUT</a> 
 
<b>by </b><i><a class="ref" href="hilbert1.html#T14" target="_self">Th14</a></i>;<br/>
<a NAME="E2:50"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="hilbert1.html#K6" target="_self">HP_TAUT</a> 
 
<b>by </b><i><a class="ref" href="hilbert1.html#T26" target="_self">Th26</a></i>;<br/>
<b>hence </b><a NAME="E3:50"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hilbert1.html#K3" target="_self">=&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="hilbert1.html#K6" target="_self">HP_TAUT</a> 
 <b>by </b><i><a class="txt" href="hilbert1.html#E1:50"><i><font color="Green">E34</font></i></a>, <a class="ref" href="hilbert1.html#D10" target="_self">Def10</a></i>;<br/>


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