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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> be  <a href="relat_1.html#V2">V5</a>  <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="pboole.html#M2">Element</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>





<b>assume </b><a NAME="E1:17"/><i><font color="Green">E11</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#R2">c=</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<a NAME="E2:17"/>
( <span class="p1">(<span class="default"><a href="msualg_3.html#K2">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="closure1.html#K2" target="_self">..</a> <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#R6">=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <span class="p1">(<span class="default"><a href="msualg_3.html#K2">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="closure1.html#K2" target="_self">..</a> <font color="Maroon">c<sub>4</sub></font> <a href="pboole.html#R6">=</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="ref" href="closure1.html#T8" target="_self">Th8</a></i>;<br/>
<b>hence </b><a NAME="E3:17"/>
<span class="p1">(<span class="default"><a href="msualg_3.html#K2">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="closure1.html#K2" target="_self">..</a> <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#R2">c=</a> <span class="p1">(<span class="default"><a href="msualg_3.html#K2">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="closure1.html#K2" target="_self">..</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="txt" href="closure1.html#E1:17"><i><font color="Green">E11</font></i></a></i>;<br/>


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