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

<b>let </b><font color="Maroon">c<sub>7</sub></font> be   <a href="analmetr.html#NM1">OrtAfSp</a>;<br/>

<b>assume </b><a NAME="E1:63"/><i><font color="Green">E51</font></i>: 
 <a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font> is   <a href="diraf.html#NM2">AffinPlane</a>
 ;<br/>

<a NAME="E2:63"/><i><font color="Green">E52</font></i>: 
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font>, <font color="Olive">b<sub>3</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>7</sub></font>ex <font color="Olive">b<sub>4</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>7</sub></font> st <br/>( <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b<sub>4</sub></font> )
 
<b>by </b><i><a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>8</sub></font>, <font color="Maroon">c<sub>9</sub></font>, <font color="Maroon">c<sub>10</sub></font>, <font color="Maroon">c<sub>11</sub></font>, <font color="Maroon">c<sub>12</sub></font>, <font color="Maroon">c<sub>13</sub></font>, <font color="Maroon">c<sub>14</sub></font>, <font color="Maroon">c<sub>15</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>7</sub></font>;<br/><b>thus </b><a NAME="E1:63_1"/>
( ( <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> implies <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>9</sub></font> ) &amp; <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>10</sub></font> &amp; ( <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>11</sub></font> implies ( <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>11</sub></font>,<font color="Maroon">c<sub>10</sub></font> &amp; <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> ) ) &amp; ( <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> &amp; not <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> implies <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>9</sub></font> ) )
 <b>by </b><i><a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><b>thus </b><a NAME="E2:63_1"/>
( <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> &amp; not <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> implies <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>9</sub></font> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:63_1_1"/><i><font color="Green">E53</font></i>: 
( <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> )
 ;<br/>

<b>assume </b><a NAME="E2:63_1_1"/><i><font color="Green">E54</font></i>: 
( not <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> &amp; not <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>9</sub></font> )
 ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>16</sub></font> = <font color="Maroon">c<sub>8</sub></font>, <font color="Maroon">c<sub>17</sub></font> = <font color="Maroon">c<sub>9</sub></font>, <font color="Maroon">c<sub>18</sub></font> = <font color="Maroon">c<sub>12</sub></font>, <font color="Maroon">c<sub>19</sub></font> = <font color="Maroon">c<sub>13</sub></font>, <font color="Maroon">c<sub>20</sub></font> = <font color="Maroon">c<sub>14</sub></font>, <font color="Maroon">c<sub>21</sub></font> = <font color="Maroon">c<sub>15</sub></font> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span> ;<br/>
<a NAME="E4:63_1_1"/><i><font color="Green">E55</font></i>: 
not <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/>
<a NAME="E5:63_1_1"/><b>then </b><i><font color="Green">E56</font></i>: 
( <font color="Maroon">c<sub>18</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>19</sub></font> &amp; <font color="Maroon">c<sub>20</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>21</sub></font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T12">AFF_1:12</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>22</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E7:63_1_1"/><i><font color="Green">E57</font></i>: 
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>22</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63"><i><font color="Green">E51</font></i></a>, <a class="txt" href="analmetr.html#E4:63_1_1"><i><font color="Green">E55</font></i></a>, <a class="ref" href="aff_1.html#T74">AFF_1:74</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>23</sub></font> = <font color="Maroon">c<sub>22</sub></font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>7</sub></font> ;<br/>
<a NAME="E9:63_1_1"/><i><font color="Green">E58</font></i>: 
( <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> &amp; <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> )
 
<b>by </b><i><a class="txt" href="analmetr.html#E1:63_1_1"><i><font color="Green">E53</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<a NAME="E10:63_1_1"/>
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>22</sub></font> )
 
<b>by </b><i><a class="txt" href="analmetr.html#E7:63_1_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="aff_1.html#T15">AFF_1:15</a></i>;<br/>
<a NAME="E11:63_1_1"/><b>then </b>
( <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>18</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp; <font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp; <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp; <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>22</sub></font> )
 
<b>by </b><i><a class="txt" href="analmetr.html#E7:63_1_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/>
<a NAME="E12:63_1_1"/><b>then </b><i><font color="Green">E59</font></i>: 
( <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>19</sub></font> &amp; <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font> &amp; <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>18</sub></font> &amp; <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T13">AFF_1:13</a></i>;<br/>
<a NAME="E13:63_1_1"/><b>then </b>
( <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>15</sub></font> &amp; <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>12</sub></font> &amp; <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>14</sub></font> )
 
<b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/>
<a NAME="E14:63_1_1"/><b>then </b><i><font color="Green">E60</font></i>: 
( <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>12</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>14</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>15</sub></font> )
 
<b>by </b><i><a class="txt" href="analmetr.html#E5:63_1_1"><i><font color="Green">E56</font></i></a>, <a class="txt" href="analmetr.html#E9:63_1_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<a NAME="E15:63_1_1"/><b>then </b><i><font color="Green">E61</font></i>: 
( <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> &amp; <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>12</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> &amp; <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>14</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> &amp; <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> )
 
<b>by </b><i><a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<div><i><font color="Green">E62</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:63_1_1_1"/><i><font color="Green">E63</font></i>: 
( <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>12</sub></font> &amp; <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>14</sub></font> )
 ;<br/><b>consider </b><font color="Maroon">c<sub>24</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E3:63_1_1_1"/><i><font color="Green">E64</font></i>: 
( <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> &amp; <font color="Maroon">c<sub>18</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>24</sub></font> )
 <b>by </b><i><a class="ref" href="diraf.html#T47">DIRAF:47</a></i>;<br/><a NAME="E4:63_1_1_1"/>
not <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:63_1_1_1_1"/>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>
 ;<br/>

<a NAME="E2:63_1_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_1"><i><font color="Green">E63</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E3:63_1_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_1"><i><font color="Green">E64</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E4:63_1_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/>
<a NAME="E5:63_1_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E5:63_1_1"><i><font color="Green">E56</font></i></a>, <a class="txt" href="analmetr.html#E9:63_1_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<b>hence </b><a NAME="E6:63_1_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon">c<sub>25</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E6:63_1_1_1"/><i><font color="Green">E65</font></i>: 
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63"><i><font color="Green">E51</font></i></a>, <a class="ref" href="aff_1.html#T74">AFF_1:74</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>26</sub></font> = <font color="Maroon">c<sub>25</sub></font> as    <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>7</sub></font> ;<br/><a NAME="E8:63_1_1_1"/><i><font color="Green">E66</font></i>: 
( <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp; <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E6:63_1_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E9:63_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>25</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_1"><i><font color="Green">E64</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><a NAME="E10:63_1_1_1"/><b>then </b><i><font color="Green">E67</font></i>: 
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E11:63_1_1_1"/>
<font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>14</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_1"><i><font color="Green">E66</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E12:63_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E15:63_1_1"><i><font color="Green">E61</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_1"><i><font color="Green">E63</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E13:63_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E14:63_1_1"><i><font color="Green">E60</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E14:63_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="txt" href="analmetr.html#E10:63_1_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E15:63_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>18</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_1"><i><font color="Green">E66</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E16:63_1_1_1"/><b>then </b><i><font color="Green">E68</font></i>: 
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>18</sub></font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E17:63_1_1_1"/>
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E7:63_1_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="aff_1.html#T15">AFF_1:15</a>, <a class="ref" href="aff_1.html#T16">AFF_1:16</a></i>;<br/><a NAME="E18:63_1_1_1"/><b>then </b>
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63_1_1_1"><i><font color="Green">E63</font></i></a>, <a class="txt" href="analmetr.html#E16:63_1_1_1"><i><font color="Green">E68</font></i></a>, <a class="ref" href="aff_1.html#T20">AFF_1:20</a></i>;<br/><a NAME="E19:63_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E16:63_1_1_1"><i><font color="Green">E68</font></i></a>, <a class="ref" href="aff_1.html#T19">AFF_1:19</a></i>;<br/><a NAME="E20:63_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_1"><i><font color="Green">E63</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><b>hence </b><a NAME="E21:63_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/></div><b>end;</b></div>
<div><i><font color="Green">E63</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:63_1_1_2"/><i><font color="Green">E64</font></i>: 
( <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>12</sub></font> &amp; <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>15</sub></font> )
 ;<br/><b>consider </b><font color="Maroon">c<sub>24</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E3:63_1_1_2"/><i><font color="Green">E65</font></i>: 
( <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> &amp; <font color="Maroon">c<sub>18</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>24</sub></font> )
 <b>by </b><i><a class="ref" href="diraf.html#T47">DIRAF:47</a></i>;<br/><a NAME="E4:63_1_1_2"/>
not <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:63_1_1_2_1"/>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 ;<br/>

<a NAME="E2:63_1_1_2_1"/><b>then </b>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_2"><i><font color="Green">E64</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E3:63_1_1_2_1"/><b>then </b>
<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_2"><i><font color="Green">E65</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E4:63_1_1_2_1"/><b>then </b>
<font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/>
<a NAME="E5:63_1_1_2_1"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E5:63_1_1"><i><font color="Green">E56</font></i></a>, <a class="txt" href="analmetr.html#E9:63_1_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<b>hence </b><a NAME="E6:63_1_1_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon">c<sub>25</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E6:63_1_1_2"/><i><font color="Green">E66</font></i>: 
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63"><i><font color="Green">E51</font></i></a>, <a class="ref" href="aff_1.html#T74">AFF_1:74</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>26</sub></font> = <font color="Maroon">c<sub>25</sub></font> as    <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>7</sub></font> ;<br/><a NAME="E8:63_1_1_2"/><i><font color="Green">E67</font></i>: 
( <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp; <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E6:63_1_1_2"><i><font color="Green">E66</font></i></a>, <a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E9:63_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>25</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_2"><i><font color="Green">E65</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><a NAME="E10:63_1_1_2"/><b>then </b><i><font color="Green">E68</font></i>: 
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E11:63_1_1_2"/>
<font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_2"><i><font color="Green">E67</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E12:63_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E15:63_1_1"><i><font color="Green">E61</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_2"><i><font color="Green">E64</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E13:63_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E14:63_1_1"><i><font color="Green">E60</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E14:63_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="txt" href="analmetr.html#E10:63_1_1_2"><i><font color="Green">E68</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E15:63_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>18</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_2"><i><font color="Green">E67</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E16:63_1_1_2"/><b>then </b><i><font color="Green">E69</font></i>: 
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>18</sub></font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E17:63_1_1_2"/>
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E7:63_1_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="aff_1.html#T15">AFF_1:15</a>, <a class="ref" href="aff_1.html#T16">AFF_1:16</a></i>;<br/><a NAME="E18:63_1_1_2"/><b>then </b>
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63_1_1_2"><i><font color="Green">E64</font></i></a>, <a class="txt" href="analmetr.html#E16:63_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="aff_1.html#T20">AFF_1:20</a></i>;<br/><a NAME="E19:63_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E16:63_1_1_2"><i><font color="Green">E69</font></i></a>, <a class="ref" href="aff_1.html#T19">AFF_1:19</a></i>;<br/><a NAME="E20:63_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_2"><i><font color="Green">E64</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><b>hence </b><a NAME="E21:63_1_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/></div><b>end;</b></div>
<div><i><font color="Green">E64</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:63_1_1_3"/><i><font color="Green">E65</font></i>: 
( <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>14</sub></font> )
 ;<br/><b>consider </b><font color="Maroon">c<sub>24</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E3:63_1_1_3"/><i><font color="Green">E66</font></i>: 
( <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> &amp; <font color="Maroon">c<sub>19</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>24</sub></font> )
 <b>by </b><i><a class="ref" href="diraf.html#T47">DIRAF:47</a></i>;<br/><a NAME="E4:63_1_1_3"/>
not <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_3_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:63_1_1_3_1"/>
<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>
 ;<br/>

<a NAME="E2:63_1_1_3_1"/><b>then </b>
<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_3"><i><font color="Green">E65</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E3:63_1_1_3_1"/><b>then </b>
<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_3"><i><font color="Green">E66</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E4:63_1_1_3_1"/><b>then </b>
<font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/>
<a NAME="E5:63_1_1_3_1"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E5:63_1_1"><i><font color="Green">E56</font></i></a>, <a class="txt" href="analmetr.html#E9:63_1_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<b>hence </b><a NAME="E6:63_1_1_3_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon">c<sub>25</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E6:63_1_1_3"/><i><font color="Green">E67</font></i>: 
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63"><i><font color="Green">E51</font></i></a>, <a class="ref" href="aff_1.html#T74">AFF_1:74</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>26</sub></font> = <font color="Maroon">c<sub>25</sub></font> as    <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>7</sub></font> ;<br/><a NAME="E8:63_1_1_3"/><i><font color="Green">E68</font></i>: 
( <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp; <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E6:63_1_1_3"><i><font color="Green">E67</font></i></a>, <a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E9:63_1_1_3"/><b>then </b>
<font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>25</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_3"><i><font color="Green">E66</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><a NAME="E10:63_1_1_3"/><b>then </b><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E11:63_1_1_3"/>
<font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>14</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_3"><i><font color="Green">E68</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E12:63_1_1_3"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E15:63_1_1"><i><font color="Green">E61</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_3"><i><font color="Green">E65</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E13:63_1_1_3"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E14:63_1_1"><i><font color="Green">E60</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E14:63_1_1_3"/><b>then </b>
<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="txt" href="analmetr.html#E10:63_1_1_3"><i><font color="Green">E69</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E15:63_1_1_3"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_3"><i><font color="Green">E68</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E16:63_1_1_3"/><b>then </b><i><font color="Green">E70</font></i>: 
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E17:63_1_1_3"/>
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>18</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E7:63_1_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="aff_1.html#T15">AFF_1:15</a>, <a class="ref" href="aff_1.html#T16">AFF_1:16</a></i>;<br/><a NAME="E18:63_1_1_3"/><b>then </b>
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>18</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63_1_1_3"><i><font color="Green">E65</font></i></a>, <a class="txt" href="analmetr.html#E16:63_1_1_3"><i><font color="Green">E70</font></i></a>, <a class="ref" href="aff_1.html#T20">AFF_1:20</a></i>;<br/><a NAME="E19:63_1_1_3"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E16:63_1_1_3"><i><font color="Green">E70</font></i></a>, <a class="ref" href="aff_1.html#T19">AFF_1:19</a></i>;<br/><a NAME="E20:63_1_1_3"/><b>then </b>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_3"><i><font color="Green">E65</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><b>hence </b><a NAME="E21:63_1_1_3"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_4"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:63_1_1_4"/><i><font color="Green">E65</font></i>: 
( <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>15</sub></font> )
 ;<br/><b>consider </b><font color="Maroon">c<sub>24</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E3:63_1_1_4"/><i><font color="Green">E66</font></i>: 
( <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> &amp; <font color="Maroon">c<sub>19</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>24</sub></font> )
 <b>by </b><i><a class="ref" href="diraf.html#T47">DIRAF:47</a></i>;<br/><a NAME="E4:63_1_1_4"/>
not <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_4_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:63_1_1_4_1"/>
<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 ;<br/>

<a NAME="E2:63_1_1_4_1"/><b>then </b>
<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_4"><i><font color="Green">E65</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E3:63_1_1_4_1"/><b>then </b>
<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_4"><i><font color="Green">E66</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/>
<a NAME="E4:63_1_1_4_1"/><b>then </b>
<font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/>
<a NAME="E5:63_1_1_4_1"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="txt" href="analmetr.html#E5:63_1_1"><i><font color="Green">E56</font></i></a>, <a class="txt" href="analmetr.html#E9:63_1_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>
<b>hence </b><a NAME="E6:63_1_1_4_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon">c<sub>25</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" target="_self">Af</a> <font color="Maroon">c<sub>7</sub></font></span>)</span><b> such that </b><br/><a NAME="E6:63_1_1_4"/><i><font color="Green">E67</font></i>: 
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63"><i><font color="Green">E51</font></i></a>, <a class="ref" href="aff_1.html#T74">AFF_1:74</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>26</sub></font> = <font color="Maroon">c<sub>25</sub></font> as    <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>7</sub></font> ;<br/><a NAME="E8:63_1_1_4"/><i><font color="Green">E68</font></i>: 
( <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>24</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>25</sub></font> &amp; <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>25</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E6:63_1_1_4"><i><font color="Green">E67</font></i></a>, <a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E9:63_1_1_4"/><b>then </b>
<font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>25</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E3:63_1_1_4"><i><font color="Green">E66</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><a NAME="E10:63_1_1_4"/><b>then </b><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E11:63_1_1_4"/>
<font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>15</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_4"><i><font color="Green">E68</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/><a NAME="E12:63_1_1_4"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>23</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E15:63_1_1"><i><font color="Green">E61</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_4"><i><font color="Green">E65</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E13:63_1_1_4"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E14:63_1_1"><i><font color="Green">E60</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E14:63_1_1_4"/><b>then </b>
<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font> <a href="analmetr.html#R4" target="_self">_|_</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>26</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="txt" href="analmetr.html#E10:63_1_1_4"><i><font color="Green">E69</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E15:63_1_1_4"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E8:63_1_1_4"><i><font color="Green">E68</font></i></a>, <a class="ref" href="analmetr.html#D9" target="_self">Def9</a></i>;<br/><a NAME="E16:63_1_1_4"/><b>then </b><i><font color="Green">E70</font></i>: 
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1">AFF_1:def 1</a></i>;<br/><a NAME="E17:63_1_1_4"/>
(  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>22</sub></font> &amp;  <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>18</sub></font> )
 <b>by </b><i><a class="txt" href="analmetr.html#E7:63_1_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="aff_1.html#T15">AFF_1:15</a>, <a class="ref" href="aff_1.html#T16">AFF_1:16</a></i>;<br/><a NAME="E18:63_1_1_4"/><b>then </b>
 <a href="aff_1.html#R1">LIN</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>18</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63_1_1_4"><i><font color="Green">E65</font></i></a>, <a class="txt" href="analmetr.html#E16:63_1_1_4"><i><font color="Green">E70</font></i></a>, <a class="ref" href="aff_1.html#T20">AFF_1:20</a></i>;<br/><a NAME="E19:63_1_1_4"/><b>then </b>
<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>21</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E16:63_1_1_4"><i><font color="Green">E70</font></i></a>, <a class="ref" href="aff_1.html#T19">AFF_1:19</a></i>;<br/><a NAME="E20:63_1_1_4"/><b>then </b>
<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>
 <b>by </b><i><a class="txt" href="analmetr.html#E12:63_1_1"><i><font color="Green">E59</font></i></a>, <a class="txt" href="analmetr.html#E1:63_1_1_4"><i><font color="Green">E65</font></i></a>, <a class="ref" href="aff_1.html#T14">AFF_1:14</a></i>;<br/><b>hence </b><a NAME="E21:63_1_1_4"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E2:63_1_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self">Th48</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E20:63_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analmetr.html#E4:63_1_1"><i><font color="Green">E55</font></i></a>, <a class="txt" href="analmetr.html#E16:63_1_1"><i><font color="Green">E62</font></i></a>, <a class="txt" href="analmetr.html#E17:63_1_1"><i><font color="Green">E63</font></i></a>, <a class="txt" href="analmetr.html#E18:63_1_1"><i><font color="Green">E64</font></i></a>, <a class="ref" href="aff_1.html#T12">AFF_1:12</a></i>;<br/>


</div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E4:63"/>
<font color="Maroon">c<sub>7</sub></font> is   <a href="analmetr.html#NM2">OrtAfPl</a>
 <b>by </b><i><a class="txt" href="analmetr.html#E1:63"><i><font color="Green">E51</font></i></a>, <a class="txt" href="analmetr.html#E2:63"><i><font color="Green">E52</font></i></a>, <a class="ref" href="analmetr.html#D10" target="_self">Def10</a></i>;<br/>


</div>
