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<b>let </b><font color="Maroon" title="c1">X</font>, <font color="Maroon" title="c2">Y</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>



<b>assume </b><a NAME="E1:18"/>
<span class="p1"><a href="mcart_3.html#K2" title="MCART_3:func.2">[:</a><span class="default"><font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font></span><a href="mcart_3.html#K2" title="MCART_3:func.2">:]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K2" title="MCART_3:func.2">[:</a><span class="default"><font color="Maroon" title="c2">Y</font>,<font color="Maroon" title="c2">Y</font>,<font color="Maroon" title="c2">Y</font>,<font color="Maroon" title="c2">Y</font>,<font color="Maroon" title="c2">Y</font>,<font color="Maroon" title="c2">Y</font></span><a href="mcart_3.html#K2" title="MCART_3:func.2">:]</a></span>
 ;<br/>

<a NAME="E2:18"/><b>then </b>
( ( <font color="Maroon" title="c1">X</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  or <font color="Maroon" title="c2">Y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) implies <font color="Maroon" title="c1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">Y</font> )
 
<b>by </b><i><a class="ref" href="mcart_3.html#T16" target="_self" title="MCART_3:th.16">Th16</a></i>;<br/>
<b>hence </b><a NAME="E3:18"/>
<font color="Maroon" title="c1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">Y</font>
 ;<br/>


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