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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">M</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">POS</font>;<br/><b>let </b><font color="Maroon">r</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font>;<br/><b>let </b><font color="Maroon">s</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="E1:82"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">r</font>,<font color="Maroon">s</font> <a href="analmetr.html#R6" target="_self">_|_</a> <font color="Maroon">K</font>
 <b>and </b><br/><a NAME="E2:82"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">K</font> <a href="analmetr.html#R9" target="_self">//</a> <font color="Maroon">M</font>
 ;<br/>

<a NAME="E3:82"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">K</font> <a href="analmetr.html#R9" target="_self">//</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E17:82"><i><font color="Green">E65</font></i></a></i>;<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="E5:82"/><i><font color="Green">E51</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">r</font>,<font color="Maroon">s</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="txt" href="analmetr.html#E14:82"><i><font color="Green">E64</font></i></a>, <a class="ref" href="analmetr.html#T9" target="_self">Th9</a></i>;<br/>
<b>consider </b><font color="Maroon">a</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font>, <font color="Maroon">b</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font>, <font color="Maroon">c</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font>, <font color="Maroon">d</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">POS</font><b> such that </b><br/><a NAME="E7:82"/><i><font color="Green">E52</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b</font> &amp; <font color="Maroon">c</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d</font> )
 <b>and </b><br/><a NAME="E8:82"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">K</font> <a href="hidden.html#R1">=</a>  <a href="analmetr.html#K4" target="_self">Line</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 <b>and </b><br/><a NAME="E9:82"/><i><font color="Green">E61</font></i>: 
( <font color="Maroon">M</font> <a href="hidden.html#R1">=</a>  <a href="analmetr.html#K4" target="_self">Line</a> <font color="Maroon">c</font>,<font color="Maroon">d</font> &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c</font>,<font color="Maroon">d</font> )
 <b>by </b><i>, <a class="ref" href="analmetr.html#T11" target="_self">Th11</a></i>;<br/>
<b>reconsider </b><font color="Maroon">p'</font> = <font color="Maroon">p</font>, <font color="Maroon">q'</font> = <font color="Maroon">q</font>, <font color="Maroon">a'</font> = <font color="Maroon">a</font>, <font color="Maroon">b'</font> = <font color="Maroon">b</font>, <font color="Maroon">c'</font> = <font color="Maroon">c</font>, <font color="Maroon">d'</font> = <font color="Maroon">d</font> as    <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</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/>
<a NAME="E11:82"/><i><font color="Green">E63</font></i>: 
( <font color="Maroon">K</font> <a href="hidden.html#R1">=</a>  <a href="aff_1.html#K2">Line</a> <font color="Maroon">a'</font>,<font color="Maroon">b'</font> &amp; <font color="Maroon">K</font> <a href="hidden.html#R1">=</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="E12:82"/><b>then </b>
( <font color="Maroon">p'</font> <a href="hidden.html#R2">in</a> <font color="Maroon">K</font> &amp; <font color="Maroon">q'</font> <a href="hidden.html#R2">in</a> <font color="Maroon">K</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T26">AFF_1:26</a></i>;<br/>
<a NAME="E13:82"/><b>then </b>
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">a'</font>,<font color="Maroon">b'</font>,<font color="Maroon">p'</font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">a'</font>,<font color="Maroon">b'</font>,<font color="Maroon">q'</font> )
 
<b>by </b><i>, <a class="ref" href="aff_1.html#D2">AFF_1:def 2</a></i>;<br/>
<a NAME="E14:82"/><b>then </b><i><font color="Green">E64</font></i>: 
<font color="Maroon">a'</font>,<font color="Maroon">b'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p'</font>,<font color="Maroon">q'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T19">AFF_1:19</a></i>;<br/>
<a NAME="E15:82"/>
<font color="Maroon">a'</font>,<font color="Maroon">b'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">d'</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E16:82"/><b>then </b>
<font color="Maroon">p'</font>,<font color="Maroon">q'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">d'</font>
 
<b>by </b><i>, , <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E17:82"/><b>then </b><i><font color="Green">E65</font></i>: 
<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c</font>,<font color="Maroon">d</font>
 
<b>by </b><i/>;<br/>
<a NAME="E18:82"/>
<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">r</font>,<font color="Maroon">s</font>
 
<b>by </b><i>, <a class="ref" href="analmetr.html#D1" target="_self">Def1</a></i>;<br/>
<a NAME="E19:82"/><b>then </b>
<font color="Maroon">r</font>,<font color="Maroon">s</font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c</font>,<font color="Maroon">d</font>
 
<b>by </b><i>, , <a class="ref" href="analmetr.html#D1" target="_self">Def1</a></i>;<br/>
<b>hence </b><a NAME="E20:82"/>
<font color="Maroon">r</font>,<font color="Maroon">s</font> <a href="analmetr.html#R6" target="_self">_|_</a> <font color="Maroon">M</font>
 <b>by </b><i>, , <a class="ref" href="analmetr.html#T9" target="_self">Th9</a></i>;<br/>


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