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<span class="kw">let </span><font color="Maroon" title="c1">L</font> be  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="oposet_1.html#V13" title="OPOSET_1:attr.13">PartialOrdered</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="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">L</font> is  <a href="oposet_1.html#V18" title="OPOSET_1:attr.18">OrderInvolutive</a>  implies <font color="Maroon" title="c1">L</font> is  <a href="oposet_1.html#V2" title="OPOSET_1:attr.2">Dneg</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:10_1_1"/>
<font color="Maroon" title="c1">L</font> is  <a href="oposet_1.html#V18" title="OPOSET_1:attr.18">OrderInvolutive</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">L</font> is  <a href="oposet_1.html#V2" title="OPOSET_1:attr.2">Dneg</a> </span><br/>

<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c2">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c1">L</font>,<font color="Maroon" title="c1">L</font><span class="kw"> such that </span><br/><a NAME="E3:10_1_1"/><span class="lab"><font color="Green" title="E9">A1</font></span>: 
<font color="Maroon" title="c2">f</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> the <a href="robbins1.html#U1" title="ROBBINS1:sel.1">Compl</a> of <font color="Maroon" title="c1">L</font>
 <span class="kw">and </span><br/><a NAME="E4:10_1_1"/><span class="lab"><font color="Green" title="E10">A2</font></span>: 
<font color="Maroon" title="c2">f</font> is  <a href="oposet_1.html#V17" title="OPOSET_1:attr.17">Orderinvolutive</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="oposet_1.html#D33" title="OPOSET_1:def.33">OPOSET_1:def 33</a></span>;<br/>
<a NAME="E5:10_1_1"/>
 ex <font color="Olive" title="b1">g</font> being  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c1">L</font>,<font color="Maroon" title="c1">L</font> st <br/>( <font color="Olive" title="b1">g</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c2">f</font> &amp; <font color="Olive" title="b1">g</font> is  <a href="oposet_1.html#V1" title="OPOSET_1:attr.1">dneg</a>  &amp; <font color="Olive" title="b1">g</font> is  <a href="waybel_0.html#V5" title="WAYBEL_0:attr.5">antitone</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:10_1_1"><span class="lab"><font color="Green" title="E10">A2</font></span></a>, <a class="ref" href="oposet_1.html#D32" title="OPOSET_1:def.32">OPOSET_1:def 32</a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:10_1_1"/>
<font color="Maroon" title="c1">L</font> is  <a href="oposet_1.html#V2" title="OPOSET_1:attr.2">Dneg</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:10_1_1"><span class="lab"><font color="Green" title="E9">A1</font></span></a>, <a class="ref" href="oposet_1.html#D6" title="OPOSET_1:def.6">OPOSET_1:def 6</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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