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<span class="kw">let </span><font color="Maroon" title="c1">AS</font> be   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">q</font>, <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">a9</font>, <font color="Olive" title="b6">b9</font>, <font color="Olive" title="b7">c9</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AS</font><br/>  for <font color="Olive" title="b8">A</font>, <font color="Olive" title="b9">P</font>, <font color="Olive" title="b10">C</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">AS</font>  st <font color="Maroon" title="c1">AS</font> is  not   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a> &amp; <font color="Olive" title="b1">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b8">A</font> &amp; <font color="Olive" title="b1">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b9">P</font> &amp; <font color="Olive" title="b1">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b10">C</font> &amp; <font color="Olive" title="b1">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">a</font> &amp; <font color="Olive" title="b1">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">b</font> &amp; <font color="Olive" title="b1">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">c</font> &amp; <font color="Olive" title="b2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b8">A</font> &amp; <font color="Olive" title="b5">a9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b8">A</font> &amp; <font color="Olive" title="b3">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b9">P</font> &amp; <font color="Olive" title="b6">b9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b9">P</font> &amp; <font color="Olive" title="b4">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b10">C</font> &amp; <font color="Olive" title="b7">c9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b10">C</font> &amp; <font color="Olive" title="b8">A</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b9">P</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b10">C</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b8">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b9">P</font> &amp; <font color="Olive" title="b8">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b10">C</font> &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">a9</font>,<font color="Olive" title="b6">b9</font> &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">a9</font>,<font color="Olive" title="b7">c9</font> holds <br/><font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b6">b9</font>,<font color="Olive" title="b7">c9</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">q</font>, <font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c4">b</font>, <font color="Maroon" title="c5">c</font>, <font color="Maroon" title="c6">a9</font>, <font color="Maroon" title="c7">b9</font>, <font color="Maroon" title="c8">c9</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AS</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">P</font>, <font color="Olive" title="b3">C</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">AS</font>  st <font color="Maroon" title="c1">AS</font> is  not   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">P</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">C</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">c</font> &amp; <font color="Maroon" title="c3">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A</font> &amp; <font color="Maroon" title="c6">a9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A</font> &amp; <font color="Maroon" title="c4">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">P</font> &amp; <font color="Maroon" title="c7">b9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">P</font> &amp; <font color="Maroon" title="c5">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">C</font> &amp; <font color="Maroon" title="c8">c9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">C</font> &amp; <font color="Olive" title="b1">A</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b2">P</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b3">C</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b1">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">P</font> &amp; <font color="Olive" title="b1">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">C</font> &amp; <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font> &amp; <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c8">c9</font> holds <br/><font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font></span><br/><span class="kw">let </span><font color="Maroon" title="c9">A</font>, <font color="Maroon" title="c10">P</font>, <font color="Maroon" title="c11">C</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">AS</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">AS</font> is  not   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">P</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">C</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b</font> &amp; <font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">c</font> &amp; <font color="Maroon" title="c3">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A</font> &amp; <font color="Maroon" title="c6">a9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A</font> &amp; <font color="Maroon" title="c4">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">P</font> &amp; <font color="Maroon" title="c7">b9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">P</font> &amp; <font color="Maroon" title="c5">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">C</font> &amp; <font color="Maroon" title="c8">c9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">C</font> &amp; <font color="Maroon" title="c9">A</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Maroon" title="c10">P</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Maroon" title="c11">C</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Maroon" title="c9">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">P</font> &amp; <font color="Maroon" title="c9">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">C</font> &amp; <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font> &amp; <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c8">c9</font> implies <font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font> )</span><br/>





















<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:63"/><span class="lab"><font color="Green" title="E53">A1</font></span>: 
<font color="Maroon" title="c1">AS</font> is  not   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a>
 <span class="kw">and </span><br/><a NAME="E2:63"/><span class="lab"><font color="Green" title="E54">A2</font></span>: 
<font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A</font>
 <span class="kw">and </span><br/><a NAME="E3:63"/><span class="lab"><font color="Green" title="E55">A3</font></span>: 
<font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">P</font>
 <span class="kw">and </span><br/><a NAME="E4:63"/><span class="lab"><font color="Green" title="E56">A4</font></span>: 
<font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">C</font>
 <span class="kw">and </span><br/><a NAME="E5:63"/><span class="lab"><font color="Green" title="E57">A5</font></span>: 
<font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a</font>
 <span class="kw">and </span><br/><a NAME="E6:63"/><span class="lab"><font color="Green" title="E58">A6</font></span>: 
<font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b</font>
 <span class="kw">and </span><br/><a NAME="E7:63"/><span class="lab"><font color="Green" title="E59">A7</font></span>: 
<font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">c</font>
 <span class="kw">and </span><br/><a NAME="E8:63"/><span class="lab"><font color="Green" title="E60">A8</font></span>: 
( <font color="Maroon" title="c3">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A</font> &amp; <font color="Maroon" title="c6">a9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A</font> )
 <span class="kw">and </span><br/><a NAME="E9:63"/><span class="lab"><font color="Green" title="E61">A9</font></span>: 
( <font color="Maroon" title="c4">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">P</font> &amp; <font color="Maroon" title="c7">b9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">P</font> )
 <span class="kw">and </span><br/><a NAME="E10:63"/><span class="lab"><font color="Green" title="E62">A10</font></span>: 
( <font color="Maroon" title="c5">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">C</font> &amp; <font color="Maroon" title="c8">c9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">C</font> )
 <span class="kw">and </span><br/><a NAME="E11:63"/><span class="lab"><font color="Green" title="E63">A11</font></span>: 
<font color="Maroon" title="c9">A</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a> 
 <span class="kw">and </span><br/><a NAME="E12:63"/><span class="lab"><font color="Green" title="E64">A12</font></span>: 
<font color="Maroon" title="c10">P</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a> 
 <span class="kw">and </span><br/><a NAME="E13:63"/><span class="lab"><font color="Green" title="E65">A13</font></span>: 
<font color="Maroon" title="c11">C</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a> 
 <span class="kw">and </span><br/><a NAME="E14:63"/><span class="lab"><font color="Green" title="E66">A14</font></span>: 
<font color="Maroon" title="c9">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">P</font>
 <span class="kw">and </span><br/><a NAME="E15:63"/><span class="lab"><font color="Green" title="E67">A15</font></span>: 
<font color="Maroon" title="c9">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">C</font>
 <span class="kw">and </span><br/><a NAME="E16:63"/><span class="lab"><font color="Green" title="E68">A16</font></span>: 
<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font>
 <span class="kw">and </span><br/><a NAME="E17:63"/><span class="lab"><font color="Green" title="E69">A17</font></span>: 
<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c8">c9</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font></span><br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1"><span class="kw">now </span></a><div class="add"><span class="kw">assume </span><a NAME="E1:63_1"/>
<font color="Maroon" title="c9">A</font>,<font color="Maroon" title="c10">P</font>,<font color="Maroon" title="c11">C</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font></span><br/><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c12">X</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">AS</font><span class="kw"> such that </span><br/><a NAME="E3:63_1"/><span class="lab"><font color="Green" title="E70">A18</font></span>: 
<font color="Maroon" title="c9">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c12">X</font>
 <span class="kw">and </span><br/><a NAME="E4:63_1"/><span class="lab"><font color="Green" title="E71">A19</font></span>: 
<font color="Maroon" title="c10">P</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c12">X</font>
 <span class="kw">and </span><br/><a NAME="E5:63_1"/><span class="lab"><font color="Green" title="E72">A20</font></span>: 
<font color="Maroon" title="c11">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c12">X</font>
 <span class="kw">and </span><br/><a NAME="E6:63_1"/><span class="lab"><font color="Green" title="E73">A21</font></span>: 
<font color="Maroon" title="c12">X</font> is  <a href="aff_4.html#V1" title="AFF_4:attr.1">being_plane</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="aff_4.html#D5" target="_self" title="AFF_4:def.5">Def5</a></span>;<br/><span class="kw">consider </span><font color="Maroon" title="c13">d</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AS</font><span class="kw"> such that </span><br/><a NAME="E8:63_1"/><span class="lab"><font color="Green" title="E74">A22</font></span>: 
 not <font color="Maroon" title="c13">d</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c12">X</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:63"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E6:63_1"><span class="lab"><font color="Green" title="E73">A21</font></span></a>, <a class="ref" href="aff_4.html#T48" target="_self" title="AFF_4:th.48">Th48</a></span>;<br/><a NAME="E9:63_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c6">a9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:63"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E8:63"><span class="lab"><font color="Green" title="E60">A8</font></span></a>, <a class="txt" href="#E11:63"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="ref" href="aff_1.html#T21" title="AFF_1:th.21">AFF_1:21</a></span>;<br/><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c14">d9</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AS</font><span class="kw"> such that </span><br/><a NAME="E11:63_1"/><span class="lab"><font color="Green" title="E75">A23</font></span>: 
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>,<font color="Maroon" title="c14">d9</font>
 <span class="kw">and </span><br/><a NAME="E12:63_1"/><span class="lab"><font color="Green" title="E76">A24</font></span>: 
<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c13">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c14">d9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:63"><span class="lab"><font color="Green" title="E57">A5</font></span></a>, <a class="ref" href="aff_4.html#T1" target="_self" title="AFF_4:th.1">Th1</a></span>;<br/><span class="kw">set </span><font color="Maroon" title="c15">K</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>);<br/><a NAME="E13:63_1"/><span class="lab"><font color="Green" title="E77">A25</font></span>: 
<font color="Maroon" title="c13">d</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></span>;<br/><a NAME="E14:63_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E78">A26</font></span>: 
 not  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c12">X</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:63_1"><span class="lab"><font color="Green" title="E74">A22</font></span></a></span>;<br/><a NAME="E15:63_1"/><span class="lab"><font color="Green" title="E79">A27</font></span>: 
<font color="Maroon" title="c2">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c13">d</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:63"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:63_1"><span class="lab"><font color="Green" title="E70">A18</font></span></a>, <a class="txt" href="#E8:63_1"><span class="lab"><font color="Green" title="E74">A22</font></span></a></span>;<br/><a NAME="E16:63_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E80">A28</font></span>: 
( <font color="Maroon" title="c2">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a>, <a class="ref" href="aff_1.html#D3" title="AFF_1:def.3">AFF_1:def 3</a></span>;<br/><a NAME="E17:63_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E81">A29</font></span>: 
<font color="Maroon" title="c14">d9</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E13:63_1"><span class="lab"><font color="Green" title="E77">A25</font></span></a>, <a class="txt" href="#E15:63_1"><span class="lab"><font color="Green" title="E79">A27</font></span></a>, <a class="txt" href="#E11:63_1"><span class="lab"><font color="Green" title="E75">A23</font></span></a>, <a class="ref" href="aff_1.html#T25" title="AFF_1:th.25">AFF_1:25</a></span>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1"><span class="kw">now </span></a><div class="add"><span class="kw">assume </span><a NAME="E1:63_1_1"/><span class="lab"><font color="Green" title="E82">A30</font></span>: 
<font color="Maroon" title="c10">P</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">C</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font></span><br/><a NAME="E2:63_1_1"/><span class="lab"><font color="Green" title="E83">A31</font></span>: 
 not  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>),<font color="Maroon" title="c10">P</font>,<font color="Maroon" title="c11">C</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:63_1_1_1"/>
 <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>),<font color="Maroon" title="c10">P</font>,<font color="Maroon" title="c11">C</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:63_1_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c10">P</font>,<font color="Maroon" title="c11">C</font>, <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="aff_4.html#T44" target="_self" title="AFF_4:th.44">Th44</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:63_1_1_1"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:63"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="txt" href="#E13:63"><span class="lab"><font color="Green" title="E65">A13</font></span></a>, <a class="txt" href="#E4:63_1"><span class="lab"><font color="Green" title="E71">A19</font></span></a>, <a class="txt" href="#E5:63_1"><span class="lab"><font color="Green" title="E72">A20</font></span></a>, <a class="txt" href="#E6:63_1"><span class="lab"><font color="Green" title="E73">A21</font></span></a>, <a class="txt" href="#E14:63_1"><span class="lab"><font color="Green" title="E78">A26</font></span></a>, <a class="txt" href="#E1:63_1_1"><span class="lab"><font color="Green" title="E82">A30</font></span></a>, <a class="ref" href="aff_4.html#T46" target="_self" title="AFF_4:th.46">Th46</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div><a NAME="E3:63_1_1"/><span class="lab"><font color="Green" title="E84">A32</font></span>: 
 <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">A</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:63_1"><span class="lab"><font color="Green" title="E70">A18</font></span></a>, <a class="txt" href="#E8:63_1"><span class="lab"><font color="Green" title="E74">A22</font></span></a>, <a class="txt" href="#E13:63_1"><span class="lab"><font color="Green" title="E77">A25</font></span></a></span>;<br/><a NAME="E4:63_1_1"/>
 not <font color="Maroon" title="c9">A</font>, <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>),<font color="Maroon" title="c10">P</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_2"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:63_1_1_2"/>
<font color="Maroon" title="c9">A</font>, <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>),<font color="Maroon" title="c10">P</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:63_1_1_2"/><span class="kw">then </span>
<font color="Maroon" title="c9">A</font>,<font color="Maroon" title="c10">P</font>, <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="aff_4.html#T44" target="_self" title="AFF_4:th.44">Th44</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:63_1_1_2"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:63"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="txt" href="#E12:63"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="txt" href="#E14:63"><span class="lab"><font color="Green" title="E66">A14</font></span></a>, <a class="txt" href="#E3:63_1"><span class="lab"><font color="Green" title="E70">A18</font></span></a>, <a class="txt" href="#E4:63_1"><span class="lab"><font color="Green" title="E71">A19</font></span></a>, <a class="txt" href="#E6:63_1"><span class="lab"><font color="Green" title="E73">A21</font></span></a>, <a class="txt" href="#E14:63_1"><span class="lab"><font color="Green" title="E78">A26</font></span></a>, <a class="ref" href="aff_4.html#T46" target="_self" title="AFF_4:th.46">Th46</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div><a NAME="E5:63_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E85">A33</font></span>: 
<font color="Maroon" title="c13">d</font>,<font color="Maroon" title="c4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">d9</font>,<font color="Maroon" title="c7">b9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:63"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:63"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="txt" href="#E5:63"><span class="lab"><font color="Green" title="E57">A5</font></span></a>, <a class="txt" href="#E6:63"><span class="lab"><font color="Green" title="E58">A6</font></span></a>, <a class="txt" href="#E8:63"><span class="lab"><font color="Green" title="E60">A8</font></span></a>, <a class="txt" href="#E9:63"><span class="lab"><font color="Green" title="E61">A9</font></span></a>, <a class="txt" href="#E11:63"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="txt" href="#E12:63"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="txt" href="#E14:63"><span class="lab"><font color="Green" title="E66">A14</font></span></a>, <a class="txt" href="#E16:63"><span class="lab"><font color="Green" title="E68">A16</font></span></a>, <a class="txt" href="#E13:63_1"><span class="lab"><font color="Green" title="E77">A25</font></span></a>, <a class="txt" href="#E15:63_1"><span class="lab"><font color="Green" title="E79">A27</font></span></a>, <a class="txt" href="#E16:63_1"><span class="lab"><font color="Green" title="E80">A28</font></span></a>, <a class="txt" href="#E12:63_1"><span class="lab"><font color="Green" title="E76">A24</font></span></a>, <a class="txt" href="#E17:63_1"><span class="lab"><font color="Green" title="E81">A29</font></span></a>, <a class="txt" href="#E3:63_1_1"><span class="lab"><font color="Green" title="E84">A32</font></span></a>, <a class="txt" href="aff_4.html#E63"><span class="lab"><font color="Green" title="E51">Lm10</font></span></a></span>;<br/><a NAME="E6:63_1_1"/><span class="lab"><font color="Green" title="E86">A34</font></span>: 
(  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">P</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">C</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:63_1"><span class="lab"><font color="Green" title="E71">A19</font></span></a>, <a class="txt" href="#E5:63_1"><span class="lab"><font color="Green" title="E72">A20</font></span></a>, <a class="txt" href="#E8:63_1"><span class="lab"><font color="Green" title="E74">A22</font></span></a>, <a class="txt" href="#E13:63_1"><span class="lab"><font color="Green" title="E77">A25</font></span></a></span>;<br/><a NAME="E7:63_1_1"/>
 not <font color="Maroon" title="c9">A</font>, <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>),<font color="Maroon" title="c11">C</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_3"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:63_1_1_3"/>
<font color="Maroon" title="c9">A</font>, <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>),<font color="Maroon" title="c11">C</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:63_1_1_3"/><span class="kw">then </span>
<font color="Maroon" title="c9">A</font>,<font color="Maroon" title="c11">C</font>, <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c13">d</font>) <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="aff_4.html#T44" target="_self" title="AFF_4:th.44">Th44</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:63_1_1_3"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:63"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="txt" href="#E13:63"><span class="lab"><font color="Green" title="E65">A13</font></span></a>, <a class="txt" href="#E15:63"><span class="lab"><font color="Green" title="E67">A15</font></span></a>, <a class="txt" href="#E3:63_1"><span class="lab"><font color="Green" title="E70">A18</font></span></a>, <a class="txt" href="#E5:63_1"><span class="lab"><font color="Green" title="E72">A20</font></span></a>, <a class="txt" href="#E6:63_1"><span class="lab"><font color="Green" title="E73">A21</font></span></a>, <a class="txt" href="#E14:63_1"><span class="lab"><font color="Green" title="E78">A26</font></span></a>, <a class="ref" href="aff_4.html#T46" target="_self" title="AFF_4:th.46">Th46</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div><a NAME="E8:63_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c13">d</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">d9</font>,<font color="Maroon" title="c8">c9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:63"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E4:63"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="txt" href="#E5:63"><span class="lab"><font color="Green" title="E57">A5</font></span></a>, <a class="txt" href="#E7:63"><span class="lab"><font color="Green" title="E59">A7</font></span></a>, <a class="txt" href="#E8:63"><span class="lab"><font color="Green" title="E60">A8</font></span></a>, <a class="txt" href="#E10:63"><span class="lab"><font color="Green" title="E62">A10</font></span></a>, <a class="txt" href="#E11:63"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="txt" href="#E13:63"><span class="lab"><font color="Green" title="E65">A13</font></span></a>, <a class="txt" href="#E15:63"><span class="lab"><font color="Green" title="E67">A15</font></span></a>, <a class="txt" href="#E17:63"><span class="lab"><font color="Green" title="E69">A17</font></span></a>, <a class="txt" href="#E13:63_1"><span class="lab"><font color="Green" title="E77">A25</font></span></a>, <a class="txt" href="#E15:63_1"><span class="lab"><font color="Green" title="E79">A27</font></span></a>, <a class="txt" href="#E16:63_1"><span class="lab"><font color="Green" title="E80">A28</font></span></a>, <a class="txt" href="#E12:63_1"><span class="lab"><font color="Green" title="E76">A24</font></span></a>, <a class="txt" href="#E17:63_1"><span class="lab"><font color="Green" title="E81">A29</font></span></a>, <a class="txt" href="#E3:63_1_1"><span class="lab"><font color="Green" title="E84">A32</font></span></a>, <a class="txt" href="aff_4.html#E63"><span class="lab"><font color="Green" title="E51">Lm10</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E9:63_1_1"/>
<font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:63"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="txt" href="#E4:63"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="txt" href="#E6:63"><span class="lab"><font color="Green" title="E58">A6</font></span></a>, <a class="txt" href="#E7:63"><span class="lab"><font color="Green" title="E59">A7</font></span></a>, <a class="txt" href="#E9:63"><span class="lab"><font color="Green" title="E61">A9</font></span></a>, <a class="txt" href="#E10:63"><span class="lab"><font color="Green" title="E62">A10</font></span></a>, <a class="txt" href="#E12:63"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="txt" href="#E13:63"><span class="lab"><font color="Green" title="E65">A13</font></span></a>, <a class="txt" href="#E13:63_1"><span class="lab"><font color="Green" title="E77">A25</font></span></a>, <a class="txt" href="#E15:63_1"><span class="lab"><font color="Green" title="E79">A27</font></span></a>, <a class="txt" href="#E16:63_1"><span class="lab"><font color="Green" title="E80">A28</font></span></a>, <a class="txt" href="#E17:63_1"><span class="lab"><font color="Green" title="E81">A29</font></span></a>, <a class="txt" href="#E6:63_1_1"><span class="lab"><font color="Green" title="E86">A34</font></span></a>, <a class="txt" href="#E2:63_1_1"><span class="lab"><font color="Green" title="E83">A31</font></span></a>, <a class="txt" href="#E5:63_1_1"><span class="lab"><font color="Green" title="E85">A33</font></span></a>, <a class="txt" href="aff_4.html#E63"><span class="lab"><font color="Green" title="E51">Lm10</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E19:63_1"/>
<font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:63"><span class="lab"><font color="Green" title="E61">A9</font></span></a>, <a class="txt" href="#E10:63"><span class="lab"><font color="Green" title="E62">A10</font></span></a>, <a class="txt" href="#E12:63"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="ref" href="aff_1.html#T51" title="AFF_1:th.51">AFF_1:51</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E19:63"/>
<font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b9</font>,<font color="Maroon" title="c8">c9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:63"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:63"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="txt" href="#E4:63"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="txt" href="#E5:63"><span class="lab"><font color="Green" title="E57">A5</font></span></a>, <a class="txt" href="#E6:63"><span class="lab"><font color="Green" title="E58">A6</font></span></a>, <a class="txt" href="#E7:63"><span class="lab"><font color="Green" title="E59">A7</font></span></a>, <a class="txt" href="#E8:63"><span class="lab"><font color="Green" title="E60">A8</font></span></a>, <a class="txt" href="#E9:63"><span class="lab"><font color="Green" title="E61">A9</font></span></a>, <a class="txt" href="#E10:63"><span class="lab"><font color="Green" title="E62">A10</font></span></a>, <a class="txt" href="#E11:63"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="txt" href="#E12:63"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="txt" href="#E13:63"><span class="lab"><font color="Green" title="E65">A13</font></span></a>, <a class="txt" href="#E14:63"><span class="lab"><font color="Green" title="E66">A14</font></span></a>, <a class="txt" href="#E15:63"><span class="lab"><font color="Green" title="E67">A15</font></span></a>, <a class="txt" href="#E16:63"><span class="lab"><font color="Green" title="E68">A16</font></span></a>, <a class="txt" href="#E17:63"><span class="lab"><font color="Green" title="E69">A17</font></span></a>, <a class="txt" href="aff_4.html#E63"><span class="lab"><font color="Green" title="E51">Lm10</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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