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<b>let </b><font color="Maroon">I</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">X</font> be    <a href="pboole.html#M1" target="_self">ManySortedSet</a> of <font color="Maroon">I</font>;<br/><b>let </b><font color="Maroon">Y</font> be    <a href="pboole.html#M1" target="_self">ManySortedSet</a> of <font color="Maroon">I</font>;<br/><b>let </b><font color="Maroon">Z</font> be    <a href="pboole.html#M1" target="_self">ManySortedSet</a> of <font color="Maroon">I</font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:104"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">X</font> <a href="pboole.html#R4" target="_self">overlaps</a> <font color="Maroon">Y</font>
 <b>and </b><br/><a NAME="E2:104"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">Y</font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">Z</font>
 ;<br/>

<b>consider </b><font color="Maroon">x</font> being    <a href="pboole.html#M1" target="_self">ManySortedSet</a> of <font color="Maroon">I</font><b> such that </b><br/><a NAME="E4:104"/><i><font color="Green">E26</font></i>: 
( <font color="Maroon">x</font> <a href="pboole.html#R1" target="_self">in</a> <font color="Maroon">X</font> &amp; <font color="Maroon">x</font> <a href="pboole.html#R1" target="_self">in</a> <font color="Maroon">Y</font> )
 <b>by </b><i><a class="ref" href="pboole.html#T5" target="_self">Th5</a>, </i>;<br/>
<a NAME="E5:104"/>
<font color="Maroon">x</font> <a href="pboole.html#R1" target="_self">in</a> <font color="Maroon">Z</font>
 
<b>by </b><i><a class="ref" href="pboole.html#T6" target="_self">Th6</a>, <a class="ref" href="pboole.html#T7" target="_self">Th7</a>, </i>;<br/>
<b>hence </b><a NAME="E6:104"/>
<font color="Maroon">X</font> <a href="pboole.html#R4" target="_self">overlaps</a> <font color="Maroon">Z</font>
 <b>by </b><i><a class="ref" href="pboole.html#T7" target="_self">Th7</a>, </i>;<br/>


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