<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">X</font> be   <a href="analmetr.html#NM2" title="ANALMETR:NM.2">OrtAfPl</a>;<br/>

<b>assume </b><a NAME="E1:17"/><i><font color="Green" title="E15">A1</font></i>: 
 <a href="conaffm.html#NR3" title="CONAFFM:NR.3">3H_holds_in</a> <font color="Maroon" title="c1">X</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c2">o</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="conmetr.html#D1" target="_self" title="CONMETR:def.1">CONMETR:def 1</a><br/><b>let </b><font color="Maroon" title="c3">a1</font>, <font color="Maroon" title="c4">a2</font>, <font color="Maroon" title="c5">a3</font>, <font color="Maroon" title="c6">b1</font>, <font color="Maroon" title="c7">b2</font>, <font color="Maroon" title="c8">b3</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font>;<br/><b>let </b><font color="Maroon" title="c9">M</font>, <font color="Maroon" title="c10">N</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">X</font>;<br/>

















<b>assume </b><a NAME="E2:17"/><i><font color="Green" title="E16">A2</font></i>: 
( <font color="Maroon" title="c2">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">M</font> &amp; <font color="Maroon" title="c3">a1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">M</font> &amp; <font color="Maroon" title="c4">a2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">M</font> &amp; <font color="Maroon" title="c5">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">M</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> &amp; <font color="Maroon" title="c6">b1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> &amp; <font color="Maroon" title="c7">b2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> &amp; <font color="Maroon" title="c8">b3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> &amp; not <font color="Maroon" title="c7">b2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">M</font> &amp; not <font color="Maroon" title="c5">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> &amp; <font color="Maroon" title="c9">M</font> <a href="analmetr.html#R10" title="ANALMETR:pred.10">_|_</a> <font color="Maroon" title="c10">N</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a2</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a3</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b2</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b3</font> &amp; <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font> )
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c11">o'</font> = <font color="Maroon" title="c2">o</font>, <font color="Maroon" title="c12">a1'</font> = <font color="Maroon" title="c3">a1</font>, <font color="Maroon" title="c13">a2'</font> = <font color="Maroon" title="c4">a2</font>, <font color="Maroon" title="c14">a3'</font> = <font color="Maroon" title="c5">a3</font>, <font color="Maroon" title="c15">b1'</font> = <font color="Maroon" title="c6">b1</font>, <font color="Maroon" title="c16">b2'</font> = <font color="Maroon" title="c7">b2</font>, <font color="Maroon" title="c17">b3'</font> = <font color="Maroon" title="c8">b3</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="c1">X</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c18">M'</font> = <font color="Maroon" title="c9">M</font>, <font color="Maroon" title="c19">N'</font> = <font color="Maroon" title="c10">N</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">X</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T57" title="ANALMETR:th.57">ANALMETR:57</a></i>;<br/>
<a NAME="E5:17"/>
( <font color="Maroon" title="c9">M</font> <a href="analmetr.html#NR6" title="ANALMETR:NR.6">is_line</a>  &amp; <font color="Maroon" title="c10">N</font> <a href="analmetr.html#NR6" title="ANALMETR:NR.6">is_line</a>  )
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T62" title="ANALMETR:th.62">ANALMETR:62</a></i>;<br/>
<a NAME="E6:17"/><b>then </b><i><font color="Green" title="E17">A3</font></i>: 
( <font color="Maroon" title="c18">M'</font> is <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a> &amp; <font color="Maroon" title="c19">N'</font> is <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a> )
 
<b>by </b><i><a class="ref" href="analmetr.html#T58" title="ANALMETR:th.58">ANALMETR:58</a></i>;<br/>
<a NAME="E7:17"/><b>then </b><i><font color="Green" title="E18">A4</font></i>: 
( <font color="Maroon" title="c18">M'</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c18">M'</font> &amp; <font color="Maroon" title="c19">N'</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c19">N'</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T55" title="AFF_1:th.55">AFF_1:55</a></i>;<br/>
<a NAME="E8:17"/><i><font color="Green" title="E19">A5</font></i>: 
for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font>  st  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font> holds <br/>(  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c20">a</font>, <font color="Maroon" title="c21">b</font>, <font color="Maroon" title="c22">c</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font>;<br/>





<b>assume </b><a NAME="E1:17_1"/><i><font color="Green" title="E20">A6</font></i>: 
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c20">a</font>,<font color="Maroon" title="c21">b</font>,<font color="Maroon" title="c22">c</font>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c23">a'</font> = <font color="Maroon" title="c20">a</font>, <font color="Maroon" title="c24">b'</font> = <font color="Maroon" title="c21">b</font>, <font color="Maroon" title="c25">c'</font> = <font color="Maroon" title="c22">c</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="c1">X</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/>
<a NAME="E3:17_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c23">a'</font>,<font color="Maroon" title="c24">b'</font>,<font color="Maroon" title="c25">c'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E1:17_1"><i><font color="Green" title="E20">A6</font></i></a>, <a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<a NAME="E4:17_1"/><b>then </b>
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c23">a'</font>,<font color="Maroon" title="c25">c'</font>,<font color="Maroon" title="c24">b'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c24">b'</font>,<font color="Maroon" title="c23">a'</font>,<font color="Maroon" title="c25">c'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c24">b'</font>,<font color="Maroon" title="c25">c'</font>,<font color="Maroon" title="c23">a'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c25">c'</font>,<font color="Maroon" title="c23">a'</font>,<font color="Maroon" title="c24">b'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c25">c'</font>,<font color="Maroon" title="c24">b'</font>,<font color="Maroon" title="c23">a'</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/>
<b>hence </b><a NAME="E5:17_1"/>
(  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c20">a</font>,<font color="Maroon" title="c22">c</font>,<font color="Maroon" title="c21">b</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c21">b</font>,<font color="Maroon" title="c20">a</font>,<font color="Maroon" title="c22">c</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c21">b</font>,<font color="Maroon" title="c22">c</font>,<font color="Maroon" title="c20">a</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c22">c</font>,<font color="Maroon" title="c20">a</font>,<font color="Maroon" title="c21">b</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c22">c</font>,<font color="Maroon" title="c21">b</font>,<font color="Maroon" title="c20">a</font> )
 <b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>


</div><b>end;</b></div>
<div><i><font color="Green" title="E20">A7</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="17_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_2"/><i><font color="Green" title="E21">A8</font></i>: 
<font color="Maroon" title="c3">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">a3</font>
 ;<br/><a NAME="E2:17_2"/><i><font color="Green" title="E22">A9</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c15">b1'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_2_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c15">b1'</font>
 ;<br/>

<a NAME="E2:17_2_1"/><b>then </b><i><font color="Green" title="E23">A10</font></i>: 
<font color="Maroon" title="c15">b1'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c18">M'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>
<a NAME="E3:17_2_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E4:17_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E5:17_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E2:17_2_1"><i><font color="Green" title="E23">A10</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div><a NAME="E3:17_2"/><i><font color="Green" title="E23">A11</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c17">b3'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_2_2"><b>proof </b></a><div class="add">

<a NAME="E1:17_2_2"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c17">b3'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<b>hence </b><a NAME="E2:17_2_2"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c17">b3'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>


</div><b>end;</b></div><a NAME="E4:17_2"/>
<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c17">b3'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_2_3"><b>proof </b></a><div class="add">

<a NAME="E1:17_2_3"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_2"><i><font color="Green" title="E21">A8</font></i></a>, <a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<b>hence </b><a NAME="E2:17_2_3"/>
<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c17">b3'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>


</div><b>end;</b></div><b>hence </b><a NAME="E5:17_2"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_2"><i><font color="Green" title="E21">A8</font></i></a>, <a class="txt" href="conmetr.html#E2:17_2"><i><font color="Green" title="E22">A9</font></i></a>, <a class="txt" href="conmetr.html#E3:17_2"><i><font color="Green" title="E23">A11</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/></div><b>end;</b></div>
<div><i><font color="Green" title="E21">A12</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="17_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_3"/><i><font color="Green" title="E22">A13</font></i>: 
<font color="Maroon" title="c7">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">b3</font>
 ;<br/><a NAME="E2:17_3"/><i><font color="Green" title="E23">A14</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c12">a1'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_3_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_3_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c12">a1'</font>
 ;<br/>

<a NAME="E2:17_3_1"/><b>then </b><i><font color="Green" title="E24">A15</font></i>: 
<font color="Maroon" title="c12">a1'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c19">N'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>
<a NAME="E3:17_3_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E4:17_3_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E5:17_3_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E2:17_3_1"><i><font color="Green" title="E24">A15</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div><a NAME="E3:17_3"/><i><font color="Green" title="E24">A16</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c13">a2'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_3_2"><b>proof </b></a><div class="add">

<a NAME="E1:17_3_2"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c13">a2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<b>hence </b><a NAME="E2:17_3_2"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c13">a2'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>


</div><b>end;</b></div><a NAME="E4:17_3"/>
<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c12">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c13">a2'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_3_3"><b>proof </b></a><div class="add">

<a NAME="E1:17_3_3"/><i><font color="Green" title="E25">A17</font></i>: 
<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_3"><i><font color="Green" title="E22">A13</font></i></a>, <a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E2:17_3_3"/>
<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c4">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E3:17_3_3"/><b>then </b>
<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c4">a2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_3_3"><i><font color="Green" title="E25">A17</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<b>hence </b><a NAME="E4:17_3_3"/>
<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c12">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c13">a2'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>


</div><b>end;</b></div><a NAME="E5:17_3"/><b>then </b>
<font color="Maroon" title="c12">a1'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">a2'</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_3"><i><font color="Green" title="E23">A14</font></i></a>, <a class="txt" href="conmetr.html#E3:17_3"><i><font color="Green" title="E24">A16</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/><a NAME="E6:17_3"/><b>then </b>
<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c17">b3'</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E1:17_3"><i><font color="Green" title="E22">A13</font></i></a>, <a class="ref" href="aff_1.html#T11" title="AFF_1:th.11">AFF_1:11</a></i>;<br/><b>hence </b><a NAME="E7:17_3"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_4"/><i><font color="Green" title="E22">A18</font></i>: 
( <font color="Maroon" title="c3">a1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a3</font> &amp; <font color="Maroon" title="c7">b2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b3</font> )
 ;<br/><a NAME="E2:17_4"/><i><font color="Green" title="E23">A19</font></i>: 
(  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a2</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a3</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b2</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b3</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c8">b3</font> &amp; <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_1"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_1"/><i><font color="Green" title="E24">A20</font></i>: 
(  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c6">b1</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_1_1"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_1_1"/>
( <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font> &amp; <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c13">a2'</font> &amp; <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c17">b3'</font> &amp; <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c15">b1'</font> )
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E2:17_4_1_1"/><b>then </b>
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c13">a2'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c15">b1'</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E3:17_4_1_1"/>
(  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c6">b1</font> )
 <b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:17_4_1"/>
( not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_1_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_1_2"/>
(  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> or  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> )
 ;<br/>

<a NAME="E2:17_4_1_2"/><b>then </b>
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c16">b2'</font> or  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c17">b3'</font> )
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<a NAME="E3:17_4_1_2"/><b>then </b>
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c16">b2'</font> or  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c14">a3'</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/>
<b>hence </b><a NAME="E4:17_4_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:17_4_1"/>
(  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a2</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a3</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b2</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b3</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c8">b3</font> &amp; <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font> )
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_1"><i><font color="Green" title="E24">A20</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>


</div><b>end;</b></div><div><i><font color="Green" title="E24">A21</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_4_2"/><i><font color="Green" title="E25">A22</font></i>: 
<font color="Maroon" title="c7">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b1</font>
 ;<br/><a NAME="E2:17_4_2"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c4">a2</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/><a NAME="E3:17_4_2"/><b>then </b><i><font color="Green" title="E26">A23</font></i>: 
<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c14">a3'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c13">a2'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/><a NAME="E4:17_4_2"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c2">o</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/><a NAME="E5:17_4_2"/><b>then </b><i><font color="Green" title="E27">A24</font></i>: 
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c2">o</font>
 <b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/><a NAME="E6:17_4_2"/><i><font color="Green" title="E28">A25</font></i>: 
<font color="Maroon" title="c5">a3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a1</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_2_1"/>
<font color="Maroon" title="c5">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a1</font>
 ;<br/>

<a NAME="E2:17_4_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T16" title="AFF_1:th.16">AFF_1:16</a></i>;<br/>
<b>hence </b><a NAME="E3:17_4_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>


</div><b>end;</b></div><a NAME="E7:17_4_2"/>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c4">a2</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/><a NAME="E8:17_4_2"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c2">o</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c4">a2</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E5:17_4_2"><i><font color="Green" title="E27">A24</font></i></a>, <a class="txt" href="conmetr.html#E6:17_4_2"><i><font color="Green" title="E28">A25</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/><a NAME="E9:17_4_2"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a2</font>
 <b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/><a NAME="E10:17_4_2"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c4">a2</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a></i>;<br/><a NAME="E11:17_4_2"/><b>then </b><i><font color="Green" title="E29">A26</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c13">a2'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/><a NAME="E12:17_4_2"/>
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c14">a3'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_2_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_2_2"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c14">a3'</font>
 ;<br/>

<a NAME="E2:17_4_2_2"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<a NAME="E3:17_4_2_2"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a></i>;<br/>
<a NAME="E4:17_4_2_2"/><b>then </b><i><font color="Green" title="E30">A27</font></i>: 
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c2">o</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E5:17_4_2_2"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/>
<a NAME="E6:17_4_2_2"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c2">o</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E7:17_4_2_2"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_2_2"><i><font color="Green" title="E30">A27</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<b>hence </b><a NAME="E8:17_4_2_2"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>


</div><b>end;</b></div><a NAME="E13:17_4_2"/><b>then </b>
<font color="Maroon" title="c14">a3'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c13">a2'</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E3:17_4_2"><i><font color="Green" title="E26">A23</font></i></a>, <a class="txt" href="conmetr.html#E11:17_4_2"><i><font color="Green" title="E29">A26</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/><b>hence </b><a NAME="E14:17_4_2"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_2"><i><font color="Green" title="E25">A22</font></i></a>, <a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_4_3"/><i><font color="Green" title="E25">A28</font></i>: 
<font color="Maroon" title="c7">b2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font>
 ;<br/><a NAME="E2:17_4_3"/>
not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_1"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 ;<br/>

<a NAME="E2:17_4_3_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a></i>;<br/>
<a NAME="E3:17_4_3_1"/><b>then </b><i><font color="Green" title="E26">A29</font></i>: 
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c4">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E4:17_4_3_1"/><i><font color="Green" title="E27">A30</font></i>: 
<font color="Maroon" title="c5">a3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a2</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_1_1"/>
<font color="Maroon" title="c5">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a2</font>
 ;<br/>

<a NAME="E2:17_4_3_1_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c6">b1</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E3:17_4_3_1_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a></i>;<br/>
<a NAME="E4:17_4_3_1_1"/><b>then </b><i><font color="Green" title="E28">A31</font></i>: 
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c6">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E5:17_4_3_1_1"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/>
<a NAME="E6:17_4_3_1_1"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c6">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E7:17_4_3_1_1"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E1:17_4_3"><i><font color="Green" title="E25">A28</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3_1_1"><i><font color="Green" title="E28">A31</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<b>hence </b><a NAME="E8:17_4_3_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E5:17_4_3_1"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c3">a1</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/>
<a NAME="E6:17_4_3_1"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c4">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E7:17_4_3_1"/><b>then </b><i><font color="Green" title="E28">A32</font></i>: 
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E3:17_4_3_1"><i><font color="Green" title="E26">A29</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3_1"><i><font color="Green" title="E27">A30</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<a NAME="E8:17_4_3_1"/><i><font color="Green" title="E29">A33</font></i>: 
<font color="Maroon" title="c5">a3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_1_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_1_2"/>
<font color="Maroon" title="c5">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a1</font>
 ;<br/>

<a NAME="E2:17_4_3_1_2"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T16" title="AFF_1:th.16">AFF_1:16</a></i>;<br/>
<b>hence </b><a NAME="E3:17_4_3_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E9:17_4_3_1"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c2">o</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/>
<a NAME="E10:17_4_3_1"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c2">o</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E11:17_4_3_1"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c2">o</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E7:17_4_3_1"><i><font color="Green" title="E28">A32</font></i></a>, <a class="txt" href="conmetr.html#E8:17_4_3_1"><i><font color="Green" title="E29">A33</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<a NAME="E12:17_4_3_1"/><b>then </b>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c11">o'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c17">b3'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>
<a NAME="E13:17_4_3_1"/><b>then </b><i><font color="Green" title="E30">A34</font></i>: 
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c17">b3'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c11">o'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/>
<a NAME="E14:17_4_3_1"/><i><font color="Green" title="E31">A35</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c17">b3'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<a NAME="E15:17_4_3_1"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c2">o</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/>
<a NAME="E16:17_4_3_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c11">o'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<b>hence </b><a NAME="E17:17_4_3_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="txt" href="conmetr.html#E13:17_4_3_1"><i><font color="Green" title="E30">A34</font></i></a>, <a class="txt" href="conmetr.html#E14:17_4_3_1"><i><font color="Green" title="E31">A35</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon" title="c20">c1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font><b> such that </b><br/><a NAME="E4:17_4_3"/><i><font color="Green" title="E26">A36</font></i>: 
( <font color="Maroon" title="c20">c1</font>,<font color="Maroon" title="c4">a2</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> &amp; <font color="Maroon" title="c20">c1</font>,<font color="Maroon" title="c5">a3</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font> &amp; <font color="Maroon" title="c20">c1</font>,<font color="Maroon" title="c8">b3</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c5">a3</font> )
 <b>by </b><i><a class="txt" href="conmetr.html#E1:17"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="conaffm.html#D3" title="CONAFFM:def.3">CONAFFM:def 3</a></i>;<br/><b>reconsider </b><font color="Maroon" title="c21">c1'</font> = <font color="Maroon" title="c20">c1</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="c1">X</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/><div><i><font color="Green" title="E27">A37</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_4_3_2"/><i><font color="Green" title="E28">A38</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a1</font>
 ;<br/><a NAME="E2:17_4_3_2"/><i><font color="Green" title="E29">A39</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/><a NAME="E3:17_4_3_2"/><i><font color="Green" title="E30">A40</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_2_1"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_2_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c17">b3'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<b>hence </b><a NAME="E2:17_4_3_2_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>


</div><b>end;</b></div><a NAME="E4:17_4_3_2"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c17">b3'</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_2_2"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_2_2"/>
<font color="Maroon" title="c3">a1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_2_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_2_2_1"/><i><font color="Green" title="E31">A41</font></i>: 
<font color="Maroon" title="c3">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b1</font>
 ;<br/>

<a NAME="E2:17_4_3_2_2_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E3:17_4_3_2_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E4:17_4_3_2_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_2_2_1"><i><font color="Green" title="E31">A41</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:17_4_3_2_2"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_2"><i><font color="Green" title="E28">A38</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<b>hence </b><a NAME="E3:17_4_3_2_2"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c17">b3'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>


</div><b>end;</b></div><a NAME="E5:17_4_3_2"/><b>then </b>
<font color="Maroon" title="c16">b2'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">b3'</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4_3_2"><i><font color="Green" title="E29">A39</font></i></a>, <a class="txt" href="conmetr.html#E3:17_4_3_2"><i><font color="Green" title="E30">A40</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/><a NAME="E6:17_4_3_2"/><b>then </b>
<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c17">b3'</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E1:17_4_3_2"><i><font color="Green" title="E28">A38</font></i></a>, <a class="ref" href="aff_1.html#T11" title="AFF_1:th.11">AFF_1:11</a></i>;<br/><b>hence </b><a NAME="E7:17_4_3_2"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_4_3_3"/><i><font color="Green" title="E28">A42</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a1</font>
 ;<br/><a NAME="E2:17_4_3_3"/><i><font color="Green" title="E29">A43</font></i>: 
<font color="Maroon" title="c3">a1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_1"/><i><font color="Green" title="E30">A44</font></i>: 
<font color="Maroon" title="c3">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b1</font>
 ;<br/>

<a NAME="E2:17_4_3_3_1"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/>
<a NAME="E3:17_4_3_3_1"/><b>then </b>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E4:17_4_3_3_1"/><b>then </b>
<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E5:17_4_3_3_1"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3"><i><font color="Green" title="E28">A42</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_1"><i><font color="Green" title="E30">A44</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<b>hence </b><a NAME="E6:17_4_3_3_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>


</div><b>end;</b></div><a NAME="E3:17_4_3_3"/>
not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_2"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font>
 ;<br/>

<a NAME="E2:17_4_3_3_2"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c4">a2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a></i>;<br/>
<a NAME="E3:17_4_3_3_2"/><b>then </b>
<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c4">a2</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E4:17_4_3_3_2"/><b>then </b><i><font color="Green" title="E30">A45</font></i>: 
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c6">b1</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E5:17_4_3_3_2"/><i><font color="Green" title="E31">A46</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_2_1"/><i><font color="Green" title="E32">A47</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b1</font>
 ;<br/>

<a NAME="E2:17_4_3_3_2_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E3:17_4_3_3_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E4:17_4_3_3_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_2_1"><i><font color="Green" title="E32">A47</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E6:17_4_3_3_2"/>
<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c6">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4_3_3"><i><font color="Green" title="E29">A43</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3_3_2"><i><font color="Green" title="E30">A45</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<a NAME="E7:17_4_3_3_2"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a>, <a class="txt" href="conmetr.html#E5:17_4_3_3_2"><i><font color="Green" title="E31">A46</font></i></a>, <a class="ref" href="analmetr.html#T82" title="ANALMETR:th.82">ANALMETR:82</a></i>;<br/>
<a NAME="E8:17_4_3_3_2"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<b>hence </b><a NAME="E9:17_4_3_3_2"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E8:17"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4"><i><font color="Green" title="E23">A19</font></i></a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon" title="c22">c2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font><b> such that </b><br/><a NAME="E5:17_4_3_3"/><i><font color="Green" title="E30">A48</font></i>: 
( <font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c4">a2</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c3">a1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c6">b1</font> &amp; <font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c6">b1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c3">a1</font> )
 <b>by </b><i><a class="txt" href="conmetr.html#E1:17"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="conaffm.html#D3" title="CONAFFM:def.3">CONAFFM:def 3</a></i>;<br/><b>reconsider </b><font color="Maroon" title="c23">c2'</font> = <font color="Maroon" title="c22">c2</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="c1">X</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/><a NAME="E7:17_4_3_3"/><i><font color="Green" title="E31">A49</font></i>: 
<font color="Maroon" title="c20">c1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c2</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_3"/><i><font color="Green" title="E32">A50</font></i>: 
( <font color="Maroon" title="c20">c1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> &amp; <font color="Maroon" title="c22">c2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_1"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_3_1"/><i><font color="Green" title="E33">A51</font></i>: 
<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c5">a3</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>
<a NAME="E2:17_4_3_3_3_1"/>
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a3</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_3_1_1"/><i><font color="Green" title="E34">A52</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">a3</font>
 ;<br/>

<a NAME="E2:17_4_3_3_3_1_1"/><i><font color="Green" title="E35">A53</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_1_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_3_1_1_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font>
 ;<br/>

<a NAME="E2:17_4_3_3_3_1_1_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/>
<b>hence </b><a NAME="E3:17_4_3_3_3_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E3:17_4_3_3_3_1_1"/><i><font color="Green" title="E36">A54</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_1_1_2"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_3_1_1_2"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<b>hence </b><a NAME="E2:17_4_3_3_3_1_1_2"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:17_4_3_3_3_1_1"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_1_1_3"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_3_1_1_3"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_3_1_1"><i><font color="Green" title="E34">A52</font></i></a>, <a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>
<b>hence </b><a NAME="E2:17_4_3_3_3_1_1_3"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E5:17_4_3_3_3_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E1:17_4_3"><i><font color="Green" title="E25">A28</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4_3_3_3_1_1"><i><font color="Green" title="E35">A53</font></i></a>, <a class="txt" href="conmetr.html#E3:17_4_3_3_3_1_1"><i><font color="Green" title="E36">A54</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E3:17_4_3_3_3_1"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c20">c1</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E4:17_4_3"><i><font color="Green" title="E26">A36</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_3_1"><i><font color="Green" title="E33">A51</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E4:17_4_3_3_3_1"/><b>then </b>
<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c20">c1</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E5:17_4_3_3_3_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c20">c1</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E6:17_4_3_3_3_1"/><b>then </b><i><font color="Green" title="E34">A55</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c21">c1'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<a NAME="E7:17_4_3_3_3_1"/>
<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c3">a1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c6">b1</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>
<a NAME="E8:17_4_3_3_3_1"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c6">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c6">b1</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E1:17_4_3_3"><i><font color="Green" title="E28">A42</font></i></a>, <a class="txt" href="conmetr.html#E5:17_4_3_3"><i><font color="Green" title="E30">A48</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E9:17_4_3_3_3_1"/><b>then </b>
<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c22">c2</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E10:17_4_3_3_3_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c22">c2</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E11:17_4_3_3_3_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c23">c2'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<b>hence </b><a NAME="E12:17_4_3_3_3_1"/>
( <font color="Maroon" title="c20">c1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> &amp; <font color="Maroon" title="c22">c2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">N</font> )
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3"><i><font color="Green" title="E25">A28</font></i></a>, <a class="txt" href="conmetr.html#E6:17_4_3_3_3_1"><i><font color="Green" title="E34">A55</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:17_4_3_3_3"/><b>then </b>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c21">c1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c23">c2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E3:17_4_3_3_3"/><b>then </b><i><font color="Green" title="E33">A56</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c21">c1'</font>,<font color="Maroon" title="c23">c2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<a NAME="E4:17_4_3_3_3"/><i><font color="Green" title="E34">A57</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c21">c1'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_3_2"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c21">c1'</font>
 ;<br/>

<a NAME="E2:17_4_3_3_3_2"/><b>then </b><i><font color="Green" title="E35">A58</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c21">c1'</font>,<font color="Maroon" title="c13">a2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/>
<a NAME="E3:17_4_3_3_3_2"/>
<font color="Maroon" title="c11">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">c1'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_3_2_1"/><i><font color="Green" title="E36">A59</font></i>: 
<font color="Maroon" title="c11">o'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c21">c1'</font>
 ;<br/>

<a NAME="E2:17_4_3_3_3_2_1"/>
<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a2</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>
<a NAME="E3:17_4_3_3_3_2_1"/><b>then </b>
<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3"><i><font color="Green" title="E26">A36</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_3_2_1"><i><font color="Green" title="E36">A59</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E4:17_4_3_3_3_2_1"/><b>then </b>
<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E5:17_4_3_3_3_2_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E6:17_4_3_3_3_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<b>hence </b><a NAME="E7:17_4_3_3_3_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:17_4_3_3_3_2"/><b>then </b><i><font color="Green" title="E36">A60</font></i>: 
<font color="Maroon" title="c13">a2'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c19">N'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_3"><i><font color="Green" title="E32">A50</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4_3_3_3_2"><i><font color="Green" title="E35">A58</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>
<a NAME="E5:17_4_3_3_3_2"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c13">a2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E6:17_4_3_3_3_2"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E7:17_4_3_3_3_2"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3_3_3_2"><i><font color="Green" title="E36">A60</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E5:17_4_3_3_3"/>
<font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c21">c1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c23">c2'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_3"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_3_3"/><i><font color="Green" title="E35">A61</font></i>: 
<font color="Maroon" title="c3">a1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_3_3_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_3_3_1"/><i><font color="Green" title="E36">A62</font></i>: 
<font color="Maroon" title="c3">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b1</font>
 ;<br/>

<a NAME="E2:17_4_3_3_3_3_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E3:17_4_3_3_3_3_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E4:17_4_3_3_3_3_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_3_3_1"><i><font color="Green" title="E36">A62</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:17_4_3_3_3_3"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c6">b1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c20">c1</font>,<font color="Maroon" title="c4">a2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3"><i><font color="Green" title="E26">A36</font></i></a>, <a class="ref" href="analmetr.html#T84" title="ANALMETR:th.84">ANALMETR:84</a></i>;<br/>
<a NAME="E3:17_4_3_3_3_3"/><b>then </b>
<font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c4">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c20">c1</font>,<font color="Maroon" title="c4">a2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E5:17_4_3_3"><i><font color="Green" title="E30">A48</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_3_3"><i><font color="Green" title="E35">A61</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E4:17_4_3_3_3_3"/><b>then </b>
<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c20">c1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c22">c2</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<b>hence </b><a NAME="E5:17_4_3_3_3_3"/>
<font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c21">c1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">a2'</font>,<font color="Maroon" title="c23">c2'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E6:17_4_3_3_3"/>
<font color="Maroon" title="c20">c1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c2</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E3:17_4_3_3_3"><i><font color="Green" title="E33">A56</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3_3_3"><i><font color="Green" title="E34">A57</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/>


</div><b>end;</b></div><a NAME="E8:17_4_3_3"/>
not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_4"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_4"/>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font>
 ;<br/>

<a NAME="E2:17_4_3_3_4"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<b>hence </b><a NAME="E3:17_4_3_3_4"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon" title="c24">c3</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font><b> such that </b><br/><a NAME="E10:17_4_3_3"/><i><font color="Green" title="E32">A63</font></i>: 
( <font color="Maroon" title="c24">c3</font>,<font color="Maroon" title="c5">a3</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> &amp; <font color="Maroon" title="c24">c3</font>,<font color="Maroon" title="c3">a1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font> &amp; <font color="Maroon" title="c24">c3</font>,<font color="Maroon" title="c7">b2</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> )
 <b>by </b><i><a class="txt" href="conmetr.html#E1:17"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="conaffm.html#D3" title="CONAFFM:def.3">CONAFFM:def 3</a></i>;<br/><b>reconsider </b><font color="Maroon" title="c25">c3'</font> = <font color="Maroon" title="c24">c3</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="c1">X</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/><a NAME="E12:17_4_3_3"/><i><font color="Green" title="E33">A64</font></i>: 
<font color="Maroon" title="c22">c2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c24">c3</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_5"/><i><font color="Green" title="E34">A65</font></i>: 
( <font color="Maroon" title="c23">c2'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c19">N'</font> &amp; <font color="Maroon" title="c25">c3'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c19">N'</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5_1"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_5_1"/>
<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c3">a1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>
<a NAME="E2:17_4_3_3_5_1"/><b>then </b>
<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c6">b1</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E1:17_4_3_3"><i><font color="Green" title="E28">A42</font></i></a>, <a class="txt" href="conmetr.html#E5:17_4_3_3"><i><font color="Green" title="E30">A48</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E3:17_4_3_3_5_1"/><b>then </b>
<font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c22">c2</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E4:17_4_3_3_5_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c6">b1</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c22">c2</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E5:17_4_3_3_5_1"/><b>then </b><i><font color="Green" title="E35">A66</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c23">c2'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<a NAME="E6:17_4_3_3_5_1"/>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c3">a1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>
<a NAME="E7:17_4_3_3_5_1"/><b>then </b>
<font color="Maroon" title="c24">c3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="txt" href="conmetr.html#E10:17_4_3_3"><i><font color="Green" title="E32">A63</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E8:17_4_3_3_5_1"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c24">c3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E9:17_4_3_3_5_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c24">c3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E10:17_4_3_3_5_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c25">c3'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<b>hence </b><a NAME="E11:17_4_3_3_5_1"/>
( <font color="Maroon" title="c23">c2'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c19">N'</font> &amp; <font color="Maroon" title="c25">c3'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c19">N'</font> )
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3"><i><font color="Green" title="E25">A28</font></i></a>, <a class="txt" href="conmetr.html#E5:17_4_3_3_5_1"><i><font color="Green" title="E35">A66</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:17_4_3_3_5"/><i><font color="Green" title="E35">A67</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c23">c2'</font>,<font color="Maroon" title="c25">c3'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5_2"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_5_2"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c23">c2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c25">c3'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_5"><i><font color="Green" title="E34">A65</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<b>hence </b><a NAME="E2:17_4_3_3_5_2"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c23">c2'</font>,<font color="Maroon" title="c25">c3'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E3:17_4_3_3_5"/><i><font color="Green" title="E36">A68</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c23">c2'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5_3"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_5_3"/><i><font color="Green" title="E37">A69</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c23">c2'</font>
 ;<br/>

<a NAME="E2:17_4_3_3_5_3"/><i><font color="Green" title="E38">A70</font></i>: 
<font color="Maroon" title="c11">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c23">c2'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5_3_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_5_3_1"/><i><font color="Green" title="E39">A71</font></i>: 
<font color="Maroon" title="c11">o'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c23">c2'</font>
 ;<br/>

<a NAME="E2:17_4_3_3_5_3_1"/><i><font color="Green" title="E40">A72</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5_3_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_5_3_1_1"/><i><font color="Green" title="E41">A73</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b1</font>
 ;<br/>

<a NAME="E2:17_4_3_3_5_3_1_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E3:17_4_3_3_5_3_1_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E4:17_4_3_3_5_3_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_5_3_1_1"><i><font color="Green" title="E41">A73</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E3:17_4_3_3_5_3_1"/><i><font color="Green" title="E41">A74</font></i>: 
<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">a1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>
<a NAME="E4:17_4_3_3_5_3_1"/>
<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">a1</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E5:17_4_3_3"><i><font color="Green" title="E30">A48</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_5_3_1"><i><font color="Green" title="E39">A71</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4_3_3_5_3_1"><i><font color="Green" title="E40">A72</font></i></a>, <a class="ref" href="analmetr.html#T84" title="ANALMETR:th.84">ANALMETR:84</a></i>;<br/>
<a NAME="E5:17_4_3_3_5_3_1"/><b>then </b>
<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E3:17_4_3_3_5_3_1"><i><font color="Green" title="E41">A74</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E6:17_4_3_3_5_3_1"/><b>then </b>
<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E7:17_4_3_3_5_3_1"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E8:17_4_3_3_5_3_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<b>hence </b><a NAME="E9:17_4_3_3_5_3_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E3:17_4_3_3_5_3"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c23">c2'</font>,<font color="Maroon" title="c12">a1'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E1:17_4_3_3_5_3"><i><font color="Green" title="E37">A69</font></i></a>, <a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/>
<a NAME="E4:17_4_3_3_5_3"/><b>then </b><i><font color="Green" title="E39">A75</font></i>: 
<font color="Maroon" title="c12">a1'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c19">N'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_5"><i><font color="Green" title="E34">A65</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4_3_3_5_3"><i><font color="Green" title="E38">A70</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>
<a NAME="E5:17_4_3_3_5_3"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E6:17_4_3_3_5_3"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E7:17_4_3_3_5_3"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E4:17_4_3_3_5_3"><i><font color="Green" title="E39">A75</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:17_4_3_3_5"/>
<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c23">c2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c25">c3'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5_4"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_5_4"/>
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_5_4_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_5_4_1"/><i><font color="Green" title="E37">A76</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b1</font>
 ;<br/>

<a NAME="E2:17_4_3_3_5_4_1"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E3:17_4_3_3_5_4_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E4:17_4_3_3_5_4_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_5_4_1"><i><font color="Green" title="E37">A76</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E2:17_4_3_3_5_4"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c7">b2</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c3">a1</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E5:17_4_3_3"><i><font color="Green" title="E30">A48</font></i></a>, <a class="ref" href="analmetr.html#T84" title="ANALMETR:th.84">ANALMETR:84</a></i>;<br/>
<a NAME="E3:17_4_3_3_5_4"/><b>then </b>
<font color="Maroon" title="c22">c2</font>,<font color="Maroon" title="c3">a1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c24">c3</font>,<font color="Maroon" title="c3">a1</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E10:17_4_3_3"><i><font color="Green" title="E32">A63</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E4:17_4_3_3_5_4"/><b>then </b>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c22">c2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c24">c3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<b>hence </b><a NAME="E5:17_4_3_3_5_4"/>
<font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c23">c2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">a1'</font>,<font color="Maroon" title="c25">c3'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E5:17_4_3_3_5"/>
<font color="Maroon" title="c22">c2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c24">c3</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17_4_3_3_5"><i><font color="Green" title="E35">A67</font></i></a>, <a class="txt" href="conmetr.html#E3:17_4_3_3_5"><i><font color="Green" title="E36">A68</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/>


</div><b>end;</b></div><a NAME="E13:17_4_3_3"/>
<font color="Maroon" title="c20">c1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a3</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_6"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_6"/><i><font color="Green" title="E34">A77</font></i>: 
<font color="Maroon" title="c20">c1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">a3</font>
 ;<br/>

<a NAME="E2:17_4_3_3_6"/><i><font color="Green" title="E35">A78</font></i>: 
<font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c5">a3</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T78" title="ANALMETR:th.78">ANALMETR:78</a></i>;<br/>
<a NAME="E3:17_4_3_3_6"/>
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a3</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_6_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_6_1"/><i><font color="Green" title="E36">A79</font></i>: 
<font color="Maroon" title="c4">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">a3</font>
 ;<br/>

<a NAME="E2:17_4_3_3_6_1"/><i><font color="Green" title="E37">A80</font></i>: 
not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_6_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:17_4_3_3_6_1_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font>
 ;<br/>

<a NAME="E2:17_4_3_3_6_1_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/>
<b>hence </b><a NAME="E3:17_4_3_3_6_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E3:17_4_3_3_6_1"/><i><font color="Green" title="E38">A81</font></i>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_6_1_2"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_6_1_2"/>
<font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c16">b2'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E7:17"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<b>hence </b><a NAME="E2:17_4_3_3_6_1_2"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c11">o'</font>,<font color="Maroon" title="c15">b1'</font>,<font color="Maroon" title="c16">b2'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:17_4_3_3_6_1"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_4_3_3_6_1_3"><b>proof </b></a><div class="add">

<a NAME="E1:17_4_3_3_6_1_3"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_6_1"><i><font color="Green" title="E36">A79</font></i></a>, <a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/>
<b>hence </b><a NAME="E2:17_4_3_3_6_1_3"/>
<font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c15">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a3'</font>,<font color="Maroon" title="c16">b2'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E5:17_4_3_3_6_1"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E1:17_4_3"><i><font color="Green" title="E25">A28</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4_3_3_6_1"><i><font color="Green" title="E37">A80</font></i></a>, <a class="txt" href="conmetr.html#E3:17_4_3_3_6_1"><i><font color="Green" title="E38">A81</font></i></a>, <a class="ref" href="aff_1.html#T23" title="AFF_1:th.23">AFF_1:23</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:17_4_3_3_6"/><b>then </b>
<font color="Maroon" title="c5">a3</font>,<font color="Maroon" title="c8">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c8">b3</font>
 
<b>by </b><i><a class="txt" href="conmetr.html#E4:17_4_3"><i><font color="Green" title="E26">A36</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4_3_3_6"><i><font color="Green" title="E34">A77</font></i></a>, <a class="txt" href="conmetr.html#E2:17_4_3_3_6"><i><font color="Green" title="E35">A78</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/>
<a NAME="E5:17_4_3_3_6"/><b>then </b>
<font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/>
<a NAME="E6:17_4_3_3_6"/><b>then </b>
 <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c8">b3</font>,<font color="Maroon" title="c7">b2</font>,<font color="Maroon" title="c5">a3</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#D11" title="ANALMETR:def.11">ANALMETR:def 11</a></i>;<br/>
<a NAME="E7:17_4_3_3_6"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c17">b3'</font>,<font color="Maroon" title="c16">b2'</font>,<font color="Maroon" title="c14">a3'</font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/>
<b>hence </b><a NAME="E8:17_4_3_3_6"/>
contradiction
 <b>by </b><i><a class="txt" href="conmetr.html#E2:17"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="conmetr.html#E6:17"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="conmetr.html#E1:17_4"><i><font color="Green" title="E22">A18</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/>


</div><b>end;</b></div><b>hence </b><a NAME="E14:17_4_3_3"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E4:17_4_3"><i><font color="Green" title="E26">A36</font></i></a>, <a class="txt" href="conmetr.html#E7:17_4_3_3"><i><font color="Green" title="E31">A49</font></i></a>, <a class="txt" href="conmetr.html#E10:17_4_3_3"><i><font color="Green" title="E32">A63</font></i></a>, <a class="txt" href="conmetr.html#E12:17_4_3_3"><i><font color="Green" title="E33">A64</font></i></a>, <a class="ref" href="analmetr.html#T85" title="ANALMETR:th.85">ANALMETR:85</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E8:17_4_3"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E6:17_4_3"><i><font color="Green" title="E27">A37</font></i></a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E5:17_4"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E3:17_4"><i><font color="Green" title="E24">A21</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E12:17"/>
<font color="Maroon" title="c3">a1</font>,<font color="Maroon" title="c7">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a2</font>,<font color="Maroon" title="c8">b3</font>
 <b>by </b><i><a class="txt" href="conmetr.html#E9:17"><i><font color="Green" title="E20">A7</font></i></a>, <a class="txt" href="conmetr.html#E10:17"><i><font color="Green" title="E21">A12</font></i></a></i>;<br/>


</div>
