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<b>let </b><font color="Maroon" title="c1">O</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="oposet_1.html#L1" title="OPOSET_1:struct.1">OrthoRelStr</a> ;<br/>

<b>assume </b><a NAME="E1:108"/>
<font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V16" title="OPOSET_1:attr.16">SubStrictPartialOrdered</a>
 ;<br/>

<a NAME="E2:108"/><b>then </b>
( <font color="Maroon" title="c1">O</font> is <a href="necklace.html#V2" title="NECKLACE:attr.2">asymmetric</a> &amp; <font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V9" title="OPOSET_1:attr.9">SubTransitive</a> )
 
<b>by </b><i><a class="ref" href="oposet_1.html#D27" target="_self" title="OPOSET_1:def.27">Def27</a></i>;<br/>
<b>hence </b><a NAME="E3:108"/>
<font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V5" title="OPOSET_1:attr.5">SubIrreFlexive</a>
 <b>by </b><i><a class="ref" href="oposet_1.html#T37" target="_self" title="OPOSET_1:th.37">Th37</a></i>;<br/>


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