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<span class="kw">let </span><font color="Maroon" title="c1">QO</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="oposet_1.html#V4" title="OPOSET_1:attr.4">QuasiOrdered</a>   <a href="qmax_1.html#L2" title="QMAX_1:struct.2">OrthoRelStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">QO</font> is  <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>  implies <font color="Maroon" title="c1">QO</font> is  <a href="oposet_1.html#V6" title="OPOSET_1:attr.6">PartialOrdered</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:65"/><span class="lab"><font color="Green" title="E24">A1</font></span>: 
<font color="Maroon" title="c1">QO</font> is  <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">QO</font> is  <a href="oposet_1.html#V6" title="OPOSET_1:attr.6">PartialOrdered</a> </span><br/>

<a NAME="E2:65"/>
( <font color="Maroon" title="c1">QO</font> is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a>  &amp; <font color="Maroon" title="c1">QO</font> 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="oposet_1.html#D12" target="_self" title="OPOSET_1:def.12">Def22</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:65"/>
<font color="Maroon" title="c1">QO</font> is  <a href="oposet_1.html#V6" title="OPOSET_1:attr.6">PartialOrdered</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:65"><span class="lab"><font color="Green" title="E24">A1</font></span></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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