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<b>let </b><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="robbins4.html#R1" title="ROBBINS4:pred.1">are_orthogonal</a>  implies <font color="Maroon" title="c5">b</font>,<font color="Maroon" title="c4">a</font> <a href="robbins4.html#R1" title="ROBBINS4:pred.1">are_orthogonal</a>  )</span><br/>

<b>assume </b><a NAME="E1:49_1_1"/>
<font color="Maroon" title="c4">a</font> <a href="robbins4.html#NR2" title="ROBBINS4:NR.2">_|_</a> <font color="Maroon" title="c5">b</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">b</font>,<font color="Maroon" title="c4">a</font> <a href="robbins4.html#R1" title="ROBBINS4:pred.1">are_orthogonal</a> </span><br/>

<a NAME="E2:49_1_1"/><b>then </b>
<font color="Maroon" title="c4">a</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Maroon" title="c5">b</font> <a href="robbins1.html#K3" title="ROBBINS1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="robbins4.html#D5" target="_self" title="ROBBINS4:def.5">orthogonal</a></i>;<br/>
<a NAME="E3:49_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon" title="c5">b</font> <a href="robbins1.html#K3" title="ROBBINS1:func.3">`</a> </span>)</span> <a href="robbins1.html#K3" title="ROBBINS1:func.3">`</a>  <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Maroon" title="c4">a</font> <a href="robbins1.html#K3" title="ROBBINS1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="robbins4.html#T4" target="_self" title="ROBBINS4:th.4">theo</a></i>;<br/>
<a NAME="E4:49_1_1"/><b>then </b>
<font color="Maroon" title="c5">b</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Maroon" title="c4">a</font> <a href="robbins1.html#K3" title="ROBBINS1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="robbins3.html#D6" title="ROBBINS3:def.6">ROBBINS3:def 6</a></i>;<br/>
<b>hence </b><a NAME="E5:49_1_1"/>
<font color="Maroon" title="c5">b</font>,<font color="Maroon" title="c4">a</font> <a href="robbins4.html#R1" title="ROBBINS4:pred.1">are_orthogonal</a> 
 <b>by </b><i><a class="ref" href="robbins4.html#D5" target="_self" title="ROBBINS4:def.5">orthogonal</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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