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<b>let </b><font color="Maroon" title="c1">R</font> be   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>;<br/>

<b>assume </b><a NAME="E1:34_1_1"/><i><font color="Green" title="E24">A1</font></i>: 
for <font color="Olive" title="b1">x</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c1">R</font> holds <br/><font color="Olive" title="b1">x</font> is   <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow16.html#D5" target="_self" title="YELLOW16:def.5">YELLOW16:def 5</a><br/>

<b>hence </b><a NAME="E2:34_1_1"/>
for <font color="Olive" title="b1">x</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c1">R</font> holds <br/><font color="Olive" title="b1">x</font> is    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_1.html#D3" title="YELLOW_1:def.3">YELLOW_1:def 3</a><br/>

<b>thus </b><a NAME="E3:34_1_1"/>
for <font color="Olive" title="b1">S</font> being   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>   st <font color="Olive" title="b1">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c1">R</font> holds <br/><font color="Olive" title="b1">S</font> is <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a>
 <b>by </b><i><a class="txt" href="yellow16.html#E1:34_1_1"><i><font color="Green" title="E24">A1</font></i></a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_3.html#D8" title="WAYBEL_3:def.8">WAYBEL_3:def 8</a><br/>


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