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<span class="kw">set </span><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#K2" title="OPOSET_1:func.2">TrivAsymOrthoRelStr</a>;<br/>
<a NAME="E1:35"/>
 the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <a href="oposet_1.html#K2" title="OPOSET_1:func.2">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>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="partit_2.html#T26" title="PARTIT_2:th.26">PARTIT_2:26</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:35"/>
 <a href="oposet_1.html#K2" title="OPOSET_1:func.2">TrivAsymOrthoRelStr</a>  is  <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="card_1.html#T49" title="CARD_1:th.49">CARD_1:49</a>, <a class="ref" href="orders_2.html#D3" title="ORDERS_2:def.3">ORDERS_2:def 3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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