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<b>let </b><font color="Maroon" title="c7">POS</font> be   <a href="analmetr.html#NM2" title="ANALMETR:NM.2">OrtAfPl</a>;<br/><b>let </b><font color="Maroon" title="c8">a</font>, <font color="Maroon" title="c9">p</font>, <font color="Maroon" title="c10">q</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</font>;<br/>







<div><i><font color="Green" title="E74">A1</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="102_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:102_1"/>
<font color="Maroon" title="c9">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">q</font>
 ;<br/><a NAME="E2:102_1"/><b>then </b><i><font color="Green" title="E75">A2</font></i>: 
( <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c8">a</font> &amp; <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c8">a</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font> )
 <b>by </b><i><a class="ref" href="analmetr.html#T80" target="_self" title="ANALMETR:th.80">Th80</a></i>;<br/><b>take </b><font color="Maroon" title="c11">x</font> = <font color="Maroon" title="c8">a</font>;<br/><b>thus </b><a NAME="E3:102_1"/>
( <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c11">x</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">x</font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E2:102_1"><i><font color="Green" title="E75">A2</font></i></a>, <a class="ref" href="analmetr.html#D11" target="_self" title="ANALMETR:def.11">Def11</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="102_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:102_2"/>
<font color="Maroon" title="c9">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">q</font>
 ;<br/><b>then consider </b><font color="Maroon" title="c11">x</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="E3:102_2"/><i><font color="Green" title="E75">A3</font></i>: 
( <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c11">x</font> &amp; <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c11">x</font>,<font color="Maroon" title="c8">a</font> )
 <b>by </b><i><a class="ref" href="analmetr.html#D9" target="_self" title="ANALMETR:def.9">Def9</a></i>;<br/><b>take </b><font color="Maroon" title="c12">x</font> = <font color="Maroon" title="c11">x</font>;<br/><b>thus </b><a NAME="E4:102_2"/>
( <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c12">x</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c12">x</font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E3:102_2"><i><font color="Green" title="E75">A3</font></i></a>, <a class="ref" href="analmetr.html#D11" target="_self" title="ANALMETR:def.11">Def11</a>, <a class="ref" href="analmetr.html#T83" target="_self" title="ANALMETR:th.83">Th83</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:102"/>
 ex <font color="Olive" title="b1">x</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</font> st <br/>( <font color="Maroon" title="c8">a</font>,<font color="Olive" title="b1">x</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Olive" title="b1">x</font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E1:102"><i><font color="Green" title="E74">A1</font></i></a></i>;<br/>


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