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<span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/>

<span class="kw">assume </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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"/><span class="kw">then </span>
<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> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="robbins4.html#D5" target="_self" title="ROBBINS4:def.5">Def5</a></span>;<br/>
<a NAME="E3:49_1_1"/><span class="kw">then </span>
<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> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="robbins4.html#T4" target="_self" title="ROBBINS4:th.4">Th4</a></span>;<br/>
<a NAME="E4:49_1_1"/><span class="kw">then </span>
<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> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="robbins3.html#D6" title="ROBBINS3:def.6">ROBBINS3:def 6</a></span>;<br/>
<span class="kw">hence </span><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> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="robbins4.html#D5" target="_self" title="ROBBINS4:def.5">Def5</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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