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<b>let </b><font color="Maroon" title="c1">I</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">X</font>, <font color="Maroon" title="c3">Y</font> be    <a href="pboole.html#M1" title="PBOOLE:mode.1">ManySortedSet</a> of <font color="Maroon" title="c1">I</font>;<br/>





<b>assume </b><a NAME="E1:32"/><i><font color="Green" title="E26">A1</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c3">Y</font>
 ;<br/>

<b>hence </b><a NAME="E2:32"/>
<font color="Maroon" title="c2">X</font> <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon" title="c3">Y</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c3">Y</font>
 <b>by </b><i><a class="ref" href="pboole.html#T18" target="_self" title="PBOOLE:th.18">Th18</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="pboole.html#D13" target="_self" title="PBOOLE:def.13">PBOOLE:def 13</a><br/>

<b>thus </b><a NAME="E3:32"/>
<font color="Maroon" title="c3">Y</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c2">X</font> <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon" title="c3">Y</font>
 <b>by </b><i><a class="ref" href="pboole.html#T16" target="_self" title="PBOOLE:th.16">Th16</a></i>;<br/>

<b>thus </b><a NAME="E4:32"/>
<font color="Maroon" title="c3">Y</font> <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon" title="c2">X</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c3">Y</font>
 <b>by </b><i><a class="txt" href="pboole.html#E1:32"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="pboole.html#T18" target="_self" title="PBOOLE:th.18">Th18</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="pboole.html#D13" target="_self" title="PBOOLE:def.13">PBOOLE:def 13</a><br/>

<b>thus </b><a NAME="E5:32"/>
<font color="Maroon" title="c3">Y</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c3">Y</font> <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon" title="c2">X</font>
 <b>by </b><i><a class="ref" href="pboole.html#T16" target="_self" title="PBOOLE:th.16">Th16</a></i>;<br/>


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