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<b>let </b><font color="Maroon" title="c10">K</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c7">POS</font>;<br/>

<b>assume </b><a NAME="E1:84_1_1"/>
<font color="Maroon" title="c10">K</font> <a href="analmetr.html#R7" title="ANALMETR:pred.7">_|_</a> <font color="Maroon" title="c10">K</font>
 ;<br/>

<b>then consider </b><font color="Maroon" title="c11">a</font>, <font color="Maroon" title="c12">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</font><b> such that </b><br/><a NAME="E3:84_1_1"/><i><font color="Green" title="E65">A1</font></i>: 
( <font color="Maroon" title="c11">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c12">b</font> &amp; <font color="Maroon" title="c10">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="analmetr.html#K4" title="ANALMETR:func.4">Line</a> <font color="Maroon" title="c11">a</font>,<font color="Maroon" title="c12">b</font> &amp; <font color="Maroon" title="c11">a</font>,<font color="Maroon" title="c12">b</font> <a href="analmetr.html#R6" title="ANALMETR:pred.6">_|_</a> <font color="Maroon" title="c10">K</font> )
 <b>by </b><i><a class="ref" href="analmetr.html#D15" target="_self" title="ANALMETR:def.15">Def15</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c13">a'</font> = <font color="Maroon" title="c11">a</font>, <font color="Maroon" title="c14">b'</font> = <font color="Maroon" title="c12">b</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c7">POS</font></span>)</span> ;<br/>
<a NAME="E5:84_1_1"/>
<font color="Maroon" title="c10">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c13">a'</font>,<font color="Maroon" title="c14">b'</font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E3:84_1_1"><i><font color="Green" title="E65">A1</font></i></a>, <a class="ref" href="analmetr.html#T56" target="_self" title="ANALMETR:th.56">Th56</a></i>;<br/>
<a NAME="E6:84_1_1"/><b>then </b>
( <font color="Maroon" title="c11">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c12">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T26" title="AFF_1:th.26">AFF_1:26</a></i>;<br/>
<b>hence </b><a NAME="E7:84_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E3:84_1_1"><i><font color="Green" title="E65">A1</font></i></a>, <a class="ref" href="analmetr.html#T71" target="_self" title="ANALMETR:th.71">Th71</a></i>;<br/>


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