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<b>thus </b><a NAME="E1:15"/>
 <a href="jordan1h.html#K1" title="JORDAN1H:func.1">RealOrd</a>  <a href="relat_2.html#R1" title="RELAT_2:pred.1">is_reflexive_in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 <b>by </b><i><a class="txt" href="jordan1h.html#E11"><i><font color="Green" title="E4">Lm1</font></i></a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="orders_1.html#D8" title="ORDERS_1:def.8">ORDERS_1:def 8</a><br/>

<b>thus </b><a NAME="E2:15"/>
 <a href="jordan1h.html#K1" title="JORDAN1H:func.1">RealOrd</a>  <a href="relat_2.html#R8" title="RELAT_2:pred.8">is_transitive_in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 <b>by </b><i><a class="txt" href="jordan1h.html#E13"><i><font color="Green" title="E6">Lm3</font></i></a></i>;<br/>

<b>thus </b><a NAME="E3:15"/>
 <a href="jordan1h.html#K1" title="JORDAN1H:func.1">RealOrd</a>  <a href="relat_2.html#R4" title="RELAT_2:pred.4">is_antisymmetric_in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 <b>by </b><i><a class="txt" href="jordan1h.html#E12"><i><font color="Green" title="E5">Lm2</font></i></a></i>;<br/>

<b>thus </b><a NAME="E4:15"/>
 <a href="jordan1h.html#K1" title="JORDAN1H:func.1">RealOrd</a>  <a href="relat_2.html#R6" title="RELAT_2:pred.6">is_connected_in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 <b>by </b><i><a class="txt" href="jordan1h.html#E14"><i><font color="Green" title="E7">Lm4</font></i></a></i>;<br/>


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