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<div class="add">

<a NAME="E1:35_1_1"/>
for <font color="Olive">x</font> being  <a href="struct_0.html#NM1">Element</a> of <a href="robbins3.html#K3" target="_self">TrivCLRelStr</a>  holds  <font color="Olive">x</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">x</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="35_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="robbins3.html#K3" target="_self">TrivCLRelStr</a> ;<br/>

<a NAME="E1:35_1_1_1"/>
<span class="p1"><a href="filter_1.html#K9">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">x</font></span><a href="filter_1.html#K9">]</a></span> <a href="hidden.html#R2">in</a>  <a href="partfun1.html#K6">id</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="relat_1.html#D10">RELAT_1:def 10</a></i>;<br/>
<b>hence </b><a NAME="E2:35_1_1_1"/>
<font color="Maroon">x</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">x</font>
 <b>by </b><i><a class="ref" href="orders_2.html#D9">ORDERS_2:def 9</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:35_1_1"/>
 <a href="robbins3.html#K3" target="_self">TrivCLRelStr</a>  is <a href="orders_2.html#V2">reflexive</a>
 <b>by </b><i><a class="ref" href="yellow_0.html#D1">YELLOW_0:def 1</a></i>;<br/>


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