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<b>set </b><font color="Maroon">IntRel</font> = the <a href="orders_2.html#U1">InternalRel</a> of <a href="oposet_1.html#K4" target="_self">TrivAsymOrthoRelStr</a> ;<br/>
<a NAME="E1:66"/><i><font color="Green">E22</font></i>: 
the <a href="orders_2.html#U1">InternalRel</a> of <a href="oposet_1.html#K4" target="_self">TrivAsymOrthoRelStr</a>  is <a href="relat_2.html#V8">transitive</a>
 
<b>by </b><i><a class="ref" href="toler_1.html#T9">TOLER_1:9</a></i>;<br/>
<a NAME="E2:66"/>
 <a href="relat_1.html#K3">field</a> the <a href="orders_2.html#U1">InternalRel</a> of <a href="oposet_1.html#K4" target="_self">TrivAsymOrthoRelStr</a>  <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E3:66"/><b>then </b>
 <a href="relat_1.html#K3">field</a> the <a href="orders_2.html#U1">InternalRel</a> of <a href="oposet_1.html#K4" target="_self">TrivAsymOrthoRelStr</a>  <a href="tarski.html#R1">c=</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="xboole_1.html#T2">XBOOLE_1:2</a></i>;<br/>
<a NAME="E4:66"/><b>then </b>
the <a href="orders_2.html#U1">InternalRel</a> of <a href="oposet_1.html#K4" target="_self">TrivAsymOrthoRelStr</a>  <a href="relat_2.html#R8">is_transitive_in</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="oposet_1.html#T10" target="_self">Th10</a>, </i>;<br/>
<b>hence </b><a NAME="E5:66"/>
 <a href="oposet_1.html#K4" target="_self">TrivAsymOrthoRelStr</a>  is <a href="orders_2.html#V3">transitive</a>
 <b>by </b><i><a class="ref" href="orders_2.html#D5">ORDERS_2:def 5</a></i>;<br/>


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