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<b>set </b><font color="Maroon">c<sub>1</sub></font> =  <a href="oposet_1.html#K1" target="_self">{}</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>,<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>;<br/>
<a NAME="E1:58"/><i><font color="Green">E37</font></i>: 
 <a href="relat_1.html#K3">field</a> <span class="p1">(<span class="default"><a href="oposet_1.html#K1" target="_self">{}</a> <span class="p2"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="oposet_1.html#T6" target="_self">Th6</a></i>;<br/>
<a NAME="E2:58"/><i><font color="Green">E38</font></i>: 
 <a href="oposet_1.html#K1" target="_self">{}</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>,<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> is <a href="relat_2.html#V5">asymmetric</a>
 
<b>by </b><i><a class="ref" href="toler_1.html#T6">TOLER_1:6</a></i>;<br/>
<a NAME="E3:58"/>
 <a href="relat_1.html#K3">field</a> <span class="p1">(<span class="default"><a href="oposet_1.html#K1" target="_self">{}</a> <span class="p2"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K1">}</a></span></span>)</span> <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="txt" href="oposet_1.html#E1:58"><i><font color="Green">E37</font></i></a>, <a class="ref" href="xboole_1.html#T2">XBOOLE_1:2</a></i>;<br/>
<a NAME="E4:58"/><b>then </b>
 <a href="oposet_1.html#K1" target="_self">{}</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>,<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> <a href="relat_2.html#R5">is_asymmetric_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="txt" href="oposet_1.html#E2:58"><i><font color="Green">E38</font></i></a>, <a class="ref" href="oposet_1.html#T14" target="_self">Th14</a></i>;<br/>
<b>hence </b><a NAME="E5:58"/>
 <a href="oposet_1.html#K4" target="_self">TrivAsymOrthoRelStr</a>  is <a href="oposet_1.html#V8" target="_self">Asymmetric</a>
 <b>by </b><i><a class="ref" href="oposet_1.html#D18" target="_self">Def18</a></i>;<br/>


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