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<b>let </b><font color="Maroon">P</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">Q</font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:80"/>
<font color="Maroon">P</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">Q</font>
 ;<br/>

<a NAME="E2:80"/><b>then </b><i><font color="Green">E17</font></i>: 
<font color="Maroon">Q</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P</font> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><font color="Maroon">Q</font> <a href="subset_1.html#K6">\</a> <font color="Maroon">P</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T45">XBOOLE_1:45</a></i>;<br/>
<b>assume </b><a NAME="E3:80"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">Q</font>
 ;<br/>

<b>assume </b><a NAME="E4:80"/>
<font color="Maroon">Q</font> <a href="subset_1.html#K6">\</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<b>hence </b><a NAME="E5:80"/>
contradiction
 <b>by </b><i><a class="ref" href="tex_2.html#T5" target="_self">Th5</a>, </i>;<br/>


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