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<b>let </b><font color="Maroon">R</font> be   <a href="relat_1.html#NM1">Relation</a>;<br/>

<b>assume </b><a NAME="E1:25"/>
( <font color="Maroon">R</font> is <a href="relat_2.html#V1">reflexive</a> &amp; <font color="Maroon">R</font> is <a href="relat_2.html#V8">transitive</a> &amp; <font color="Maroon">R</font> is <a href="relat_2.html#V4">antisymmetric</a> &amp; <font color="Maroon">R</font> is <a href="relat_2.html#V6">connected</a> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="orders_1.html#D5" target="_self">ORDERS_1:def 5</a><br/>

<b>hence </b><a NAME="E2:25"/>
( <font color="Maroon">R</font> <a href="relat_1.html#K4">~</a>  is <a href="relat_2.html#V1">reflexive</a> &amp; <font color="Maroon">R</font> <a href="relat_1.html#K4">~</a>  is <a href="relat_2.html#V8">transitive</a> &amp; <font color="Maroon">R</font> <a href="relat_1.html#K4">~</a>  is <a href="relat_2.html#V4">antisymmetric</a> &amp; <font color="Maroon">R</font> <a href="relat_1.html#K4">~</a>  is <a href="relat_2.html#V6">connected</a> )
 <b>by </b><i>, <a class="ref" href="relat_2.html#T27">RELAT_2:27</a>, <a class="ref" href="relat_2.html#T40">RELAT_2:40</a>, <a class="ref" href="relat_2.html#T42">RELAT_2:42</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="orders_1.html#D5" target="_self">ORDERS_1:def 5</a><br/>


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