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<b>set </b><font color="Maroon" title="c1">IntRel</font> = the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="oposet_1.html#K4" title="OPOSET_1:func.4">TrivAsymOrthoRelStr</a> ;<br/>
<a NAME="E1:66"/>
 <a href="relat_1.html#K3" title="RELAT_1:func.3">field</a> the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="oposet_1.html#K4" title="OPOSET_1:func.4">TrivAsymOrthoRelStr</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<b>by </b><i><a class="ref" href="oposet_1.html#T6" target="_self" title="OPOSET_1:th.6">Th6</a></i>;<br/>
<a NAME="E2:66"/><b>then </b>
 <a href="relat_1.html#K3" title="RELAT_1:func.3">field</a> the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="oposet_1.html#K4" title="OPOSET_1:func.4">TrivAsymOrthoRelStr</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T2" title="XBOOLE_1:th.2">XBOOLE_1:2</a></i>;<br/>
<a NAME="E3:66"/><b>then </b>
the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="oposet_1.html#K4" title="OPOSET_1:func.4">TrivAsymOrthoRelStr</a>  <a href="relat_2.html#R8" title="RELAT_2:pred.8">is_transitive_in</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<b>by </b><i><a class="ref" href="oposet_1.html#T12" target="_self" title="OPOSET_1:th.12">Th12</a>, <a class="ref" href="toler_1.html#T9" title="TOLER_1:th.9">TOLER_1:9</a></i>;<br/>
<b>hence </b><a NAME="E4:66"/>
 <a href="oposet_1.html#K4" title="OPOSET_1:func.4">TrivAsymOrthoRelStr</a>  is <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a>
 <b>by </b><i><a class="ref" href="orders_2.html#D5" title="ORDERS_2:def.5">ORDERS_2:def 5</a></i>;<br/>


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