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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="robbins1.html#L3">OrthoLattStr</a> ;<br/>

<b>assume </b><a NAME="E1:97"/>
( <font color="Maroon">L</font> is <a href="lattices.html#V17">Boolean</a> &amp; <font color="Maroon">L</font> is <a href="robbins1.html#V7">well-complemented</a> &amp; <font color="Maroon">L</font> is <a href="lattices.html#V10">Lattice-like</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">L'</font> = <font color="Maroon">L</font> as  non <a href="struct_0.html#V3">empty</a> <a href="lattices.html#V10">Lattice-like</a> <a href="lattices.html#V17">Boolean</a> <a href="robbins1.html#V7">well-complemented</a>  <a href="robbins1.html#L3">OrthoLattStr</a>  ;<br/>
<a NAME="E3:97"/><i><font color="Green">E22</font></i>: 
for <font color="Olive">x</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L'</font> holds  <span class="p1">(<span class="default"><font color="Olive">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="robbins1.html#K3">`</a>  <a href="hidden.html#R1">=</a> <font color="Olive">x</font>
 
<b>by </b><i><a class="ref" href="robbins1.html#T3">ROBBINS1:3</a></i>;<br/>
<a NAME="E4:97"/><i><font color="Green">E23</font></i>: 
for <font color="Olive">x</font>, <font color="Olive">y</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L'</font> holds  <font color="Olive">x</font> <a href="robbins3.html#K5" target="_self">|_|</a> <span class="p1">(<span class="default"><font color="Olive">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">y</font> <a href="robbins3.html#K5" target="_self">|_|</a> <span class="p1">(<span class="default"><font color="Olive">y</font> <a href="robbins1.html#K3">`</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="robbins1.html#T4">ROBBINS1:4</a></i>;<br/>
<a NAME="E5:97"/>
for <font color="Olive">x</font>, <font color="Olive">y</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L'</font> holds  <font color="Olive">x</font> <a href="lattices.html#K4">"/\"</a> <font color="Olive">y</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive">x</font> <a href="robbins1.html#K3">`</a> </span>)</span> <a href="lattices.html#K3">"\/"</a> <span class="p2">(<span class="default"><font color="Olive">y</font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="robbins1.html#K3">`</a> 
 
<b>by </b><i><a class="ref" href="robbins1.html#T34">ROBBINS1:34</a></i>;<br/>
<b>hence </b><a NAME="E6:97"/>
<font color="Maroon">L</font> is   <a href="robbins3.html#NM1">Ortholattice</a>
 <b>by </b><i>, , <a class="ref" href="robbins1.html#D23">ROBBINS1:def 23</a>, , </i>;<br/>


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