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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>, <font color="Maroon" title="c4">Z</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="E1:82"/><i><font color="Green" title="E53">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> <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon" title="c4">Z</font>
 ;<br/>

<a NAME="E2:82"/><b>then </b>
<font color="Maroon" title="c2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c3">Y</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Z</font> <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon" title="c3">Y</font></span>)</span> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c3">Y</font>
 
<b>by </b><i><a class="ref" href="pboole.html#T59" target="_self" title="PBOOLE:th.59">Th59</a></i>;<br/>
<a NAME="E3:82"/><b>then </b><i><font color="Green" title="E54">A2</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c3">Y</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c4">Z</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c3">Y</font>
 
<b>by </b><i><a class="ref" href="pboole.html#T81" target="_self" title="PBOOLE:th.81">Th81</a></i>;<br/>
<a NAME="E4:82"/>
<font color="Maroon" title="c4">Z</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c3">Y</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c4">Z</font>
 
<b>by </b><i><a class="ref" href="pboole.html#T62" target="_self" title="PBOOLE:th.62">Th62</a></i>;<br/>
<b>hence </b><a NAME="E5:82"/>
<font color="Maroon" title="c2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c3">Y</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c4">Z</font>
 <b>by </b><i><a class="txt" href="pboole.html#E3:82"><i><font color="Green" title="E54">A2</font></i></a>, <a class="ref" href="pboole.html#T15" target="_self" title="PBOOLE:th.15">Th15</a></i>;<br/>

<a NAME="E6:82"/>
<font color="Maroon" title="c2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c4">Z</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">Y</font> <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon" title="c4">Z</font></span>)</span> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c4">Z</font>
 
<b>by </b><i><a class="txt" href="pboole.html#E1:82"><i><font color="Green" title="E53">A1</font></i></a>, <a class="ref" href="pboole.html#T59" target="_self" title="PBOOLE:th.59">Th59</a></i>;<br/>
<a NAME="E7:82"/><b>then </b><i><font color="Green" title="E55">A3</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c4">Z</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Maroon" title="c3">Y</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c4">Z</font>
 
<b>by </b><i><a class="ref" href="pboole.html#T81" target="_self" title="PBOOLE:th.81">Th81</a></i>;<br/>
<a NAME="E8:82"/>
<font color="Maroon" title="c3">Y</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c4">Z</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#T62" target="_self" title="PBOOLE:th.62">Th62</a></i>;<br/>
<b>hence </b><a NAME="E9:82"/>
<font color="Maroon" title="c2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">\</a> <font color="Maroon" title="c4">Z</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#E7:82"><i><font color="Green" title="E55">A3</font></i></a>, <a class="ref" href="pboole.html#T15" target="_self" title="PBOOLE:th.15">Th15</a></i>;<br/>


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