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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">A</font> be    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">I</font>;<br/>



<b>reconsider </b><font color="Maroon">f</font> =  <a href="partfun1.html#K6">id</a> <span class="p1">(<span class="default"><a href="closure2.html#K6" target="_self">Bool</a> <font color="Maroon">A</font></span>)</span> as   <a href="closure2.html#NM3">SetOp</a> of <font color="Maroon">A</font> ;<br/>
<a NAME="E2:54"/>
<font color="Maroon">f</font> is <a href="closure2.html#V7" target="_self">reflexive</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="54_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">X</font> be    <a href="closure2.html#M1" target="_self">Element</a> of  <a href="closure2.html#K6" target="_self">Bool</a> <font color="Maroon">A</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="closure2.html#D12" target="_self">CLOSURE2:def 12</a><br/>

<b>thus </b><a NAME="E1:54_1"/>
<font color="Maroon">X</font> <a href="closure2.html#NR2" target="_self">c='</a> <font color="Maroon">f</font> <a href="closure2.html#K7" target="_self">.</a> <font color="Maroon">X</font>
 <b>by </b><i><a class="ref" href="funct_1.html#T35">FUNCT_1:35</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:54"/>
 <a href="partfun1.html#K6">id</a> <span class="p1">(<span class="default"><a href="closure2.html#K6" target="_self">Bool</a> <font color="Maroon">A</font></span>)</span> is  <a href="closure2.html#V7" target="_self">reflexive</a> <a href="closure2.html#NM3">SetOp</a> of <font color="Maroon">A</font>
 ;<br/>


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