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<b>let </b><font color="Maroon">X</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">x1</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X</font>, <font color="Maroon">x2</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X</font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:12"/><i><font color="Green">E44</font></i>: 
 <a href="hilbasis.html#K2" target="_self">UnitBag</a> <font color="Maroon">x1</font> <a href="hidden.html#R1">=</a>  <a href="hilbasis.html#K2" target="_self">UnitBag</a> <font color="Maroon">x2</font>
 <b>and </b><br/><a NAME="E2:12"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">x2</font>
 ;<br/>

1 = 
<span class="p1">(<span class="default"><a href="hilbasis.html#K2" target="_self">UnitBag</a> <font color="Maroon">x2</font></span>)</span> <a href="polynom1.html#K8">.</a> <font color="Maroon">x1</font>
<b>by </b><i>, </i>
<br/>.= 
0
<b>by </b><i>, </i>
;<br/>
<b>hence </b><a NAME="E4:12"/>
contradiction
 ;<br/>


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