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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be    <a href="pboole.html#M1" target="_self">ManySortedSet</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>









<b>assume </b><b>that </b><br/><a NAME="E1:30"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>and </b><br/><a NAME="E2:30"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/>

<a NAME="E3:30"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#K2" target="_self">\/</a> <font color="Maroon">c<sub>5</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#K2" target="_self">\/</a> <font color="Maroon">c<sub>5</sub></font> )
 
<b>by </b><i><a class="ref" href="pboole.html#T16" target="_self">Th16</a></i>;<br/>
<a NAME="E4:30"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#K2" target="_self">\/</a> <font color="Maroon">c<sub>5</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#K2" target="_self">\/</a> <font color="Maroon">c<sub>5</sub></font> )
 
<b>by </b><i><a class="txt" href="pboole.html#E1:30"><i><font color="Green">E25</font></i></a>, <a class="txt" href="pboole.html#E2:30"><i><font color="Green">E26</font></i></a>, <a class="ref" href="pboole.html#T15" target="_self">Th15</a></i>;<br/>
<b>hence </b><a NAME="E5:30"/>
<font color="Maroon">c<sub>2</sub></font> <a href="pboole.html#K2" target="_self">\/</a> <font color="Maroon">c<sub>4</sub></font> <a href="pboole.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#K2" target="_self">\/</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="ref" href="pboole.html#T18" target="_self">Th18</a></i>;<br/>


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