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<b>let </b><font color="Maroon">POS</font> be   <a href="analmetr.html#NM1">OrtAfSp</a>;<br/><b>let </b><font color="Maroon">K</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">POS</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:83"/><i><font color="Green">E38</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">K</font> &amp; <font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">K</font> )
 <b>and </b><br/><a NAME="E2:83"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analmetr.html#R6" target="_self">_|_</a> <font color="Maroon">K</font>
 ;<br/>

<b>consider </b><font color="Maroon">p</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font>, <font color="Maroon">q</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font><b> such that </b><br/><a NAME="E4:83"/><i><font color="Green">E46</font></i>: 
( <font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q</font> &amp; <font color="Maroon">K</font> <a href="hidden.html#R1">=</a>  <a href="analmetr.html#K4" target="_self">Line</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> )
 <b>by </b><i>, <a class="ref" href="analmetr.html#T9" target="_self">Th9</a></i>;<br/>
<b>reconsider </b><font color="Maroon">a'</font> = <font color="Maroon">a</font>, <font color="Maroon">b'</font> = <font color="Maroon">b</font>, <font color="Maroon">p'</font> = <font color="Maroon">p</font>, <font color="Maroon">q'</font> = <font color="Maroon">q</font> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">POS</font></span>)</span> ;<br/>
<b>set </b><font color="Maroon">K'</font> =  <a href="aff_1.html#K2">Line</a> <font color="Maroon">p'</font>,<font color="Maroon">q'</font>;<br/>
<a NAME="E6:83"/>
( <font color="Maroon">a'</font> <a href="hidden.html#R2">in</a>  <a href="aff_1.html#K2">Line</a> <font color="Maroon">p'</font>,<font color="Maroon">q'</font> &amp; <font color="Maroon">b'</font> <a href="hidden.html#R2">in</a>  <a href="aff_1.html#K2">Line</a> <font color="Maroon">p'</font>,<font color="Maroon">q'</font> )
 
<b>by </b><i>, , <a class="ref" href="analmetr.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E7:83"/><b>then </b>
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">p'</font>,<font color="Maroon">q'</font>,<font color="Maroon">a'</font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">p'</font>,<font color="Maroon">q'</font>,<font color="Maroon">b'</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#D2">AFF_1:def 2</a></i>;<br/>
<a NAME="E8:83"/><b>then </b>
<font color="Maroon">p'</font>,<font color="Maroon">q'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a'</font>,<font color="Maroon">b'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T19">AFF_1:19</a></i>;<br/>
<a NAME="E9:83"/><b>then </b><i><font color="Green">E51</font></i>: 
<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 
<b>by </b><i/>;<br/>
<a NAME="E10:83"/>
<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 
<b>by </b><i>, <a class="ref" href="analmetr.html#D1" target="_self">Def1</a></i>;<br/>
<a NAME="E11:83"/><b>then </b>
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 
<b>by </b><i>, , <a class="ref" href="analmetr.html#D1" target="_self">Def1</a></i>;<br/>
<b>hence </b><a NAME="E12:83"/>
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="analmetr.html#D1" target="_self">Def1</a></i>;<br/>


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