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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="qmax_1.html#L2" title="QMAX_1:struct.2">OrthoRelStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V15" title="OPOSET_1:attr.15">SubStrictPartialOrdered</a> implies <font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V4" title="OPOSET_1:attr.4">SubIrreFlexive</a> )</span><br/>

<b>assume </b><a NAME="E1:106"/>
<font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V15" title="OPOSET_1:attr.15">SubStrictPartialOrdered</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V4" title="OPOSET_1:attr.4">SubIrreFlexive</a></span><br/>

<a NAME="E2:106"/><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#V8" title="OPOSET_1:attr.8">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="E3:106"/>
<font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V4" title="OPOSET_1:attr.4">SubIrreFlexive</a>
 <b>by </b><i><a class="ref" href="oposet_1.html#T37" target="_self" title="OPOSET_1:th.37">Th37</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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