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<b>let </b><font color="Maroon" title="c1">AFP</font> be   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a>;<br/><b>let </b><font color="Maroon" title="c2">p</font>, <font color="Maroon" title="c3">q</font>, <font color="Maroon" title="c4">p'</font>, <font color="Maroon" title="c5">q'</font>, <font color="Maroon" title="c6">a</font>, <font color="Maroon" title="c7">b</font>, <font color="Maroon" title="c8">x</font>, <font color="Maroon" title="c9">y</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFP</font>;<br/><b>let </b><font color="Maroon" title="c10">K</font>, <font color="Maroon" title="c11">M</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">AFP</font>;<br/>





















<b>assume </b><b>that </b><br/><a NAME="E1:27"/><i><font color="Green" title="E28">A1</font></i>: 
<font color="Maroon" title="c10">K</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c11">M</font>
 <b>and </b><br/><a NAME="E2:27"/><i><font color="Green" title="E29">A2</font></i>: 
( <font color="Maroon" title="c2">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c3">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c4">p'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c5">q'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> )
 <b>and </b><br/><a NAME="E3:27"/><i><font color="Green" title="E30">A3</font></i>: 
<font color="Maroon" title="c1">AFP</font> <a href="aff_2.html#NR7" title="AFF_2:NR.7">satisfies_TDES</a> 
 <b>and </b><br/><a NAME="E4:27"/><i><font color="Green" title="E31">A4</font></i>: 
( <font color="Maroon" title="c6">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c8">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c9">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> )
 <b>and </b><br/><a NAME="E5:27"/><i><font color="Green" title="E32">A5</font></i>: 
( <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b</font> &amp; <font color="Maroon" title="c3">q</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">p</font> )
 <b>and </b><br/><a NAME="E6:27"/><i><font color="Green" title="E33">A6</font></i>: 
( <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c8">x</font> &amp; <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c8">x</font> )
 ;<br/>

<a NAME="E7:27"/><i><font color="Green" title="E34">A7</font></i>: 
( <font color="Maroon" title="c10">K</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp; <font color="Maroon" title="c11">M</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  )
 
<b>by </b><i><a class="txt" href="homothet.html#E1:27"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="aff_1.html#T50" title="AFF_1:th.50">AFF_1:50</a></i>;<br/>
<div><i><font color="Green" title="E35">A8</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_1"/><i><font color="Green" title="E36">A9</font></i>: 
<font color="Maroon" title="c10">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">M</font>
 ;<br/><a NAME="E2:27_1"/>
<font color="Maroon" title="c10">K</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c10">K</font>
 <b>by </b><i><a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="ref" href="aff_1.html#T55" title="AFF_1:th.55">AFF_1:55</a></i>;<br/><b>hence </b><a NAME="E3:27_1"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E1:27_1"><i><font color="Green" title="E36">A9</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2"/><i><font color="Green" title="E36">A10</font></i>: 
<font color="Maroon" title="c10">K</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font>
 ;<br/><a NAME="E2:27_2"/><b>then </b><i><font color="Green" title="E37">A11</font></i>: 
( <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">p</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">q</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">p</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">q</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E1:27"><i><font color="Green" title="E28">A1</font></i></a>, <a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="ref" href="aff_1.html#T59" title="AFF_1:th.59">AFF_1:59</a></i>;<br/><a NAME="E3:27_2"/><i><font color="Green" title="E38">A12</font></i>: 
( <font color="Maroon" title="c4">p'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">x</font> &amp; <font color="Maroon" title="c4">p'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c5">q'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">x</font> &amp; <font color="Maroon" title="c5">q'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">y</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E1:27"><i><font color="Green" title="E28">A1</font></i></a>, <a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E1:27_2"><i><font color="Green" title="E36">A10</font></i></a>, <a class="ref" href="aff_1.html#T59" title="AFF_1:th.59">AFF_1:59</a></i>;<br/><b>set </b><font color="Maroon" title="c12">A</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font>;<br/><b>set </b><font color="Maroon" title="c13">B'</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font>;<br/><b>set </b><font color="Maroon" title="c14">C</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font>;<br/><b>set </b><font color="Maroon" title="c15">D</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font>;<br/><b>set </b><font color="Maroon" title="c16">A'</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c8">x</font>;<br/><b>set </b><font color="Maroon" title="c17">B''</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font>;<br/><b>set </b><font color="Maroon" title="c18">C'</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>;<br/><b>set </b><font color="Maroon" title="c19">D'</font> =  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c8">x</font>;<br/><a NAME="E4:27_2"/><i><font color="Green" title="E39">A13</font></i>: 
(  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c8">x</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c8">x</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  )
 <b>by </b><i><a class="txt" href="homothet.html#E2:27_2"><i><font color="Green" title="E37">A11</font></i></a>, <a class="txt" href="homothet.html#E3:27_2"><i><font color="Green" title="E38">A12</font></i></a>, <a class="ref" href="aff_1.html#D3" title="AFF_1:def.3">AFF_1:def 3</a></i>;<br/><a NAME="E5:27_2"/><i><font color="Green" title="E40">A14</font></i>: 
( <font color="Maroon" title="c2">p</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">p</font>,<font color="Maroon" title="c6">a</font> &amp; <font color="Maroon" title="c6">a</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">p</font>,<font color="Maroon" title="c6">a</font> &amp; <font color="Maroon" title="c2">p</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">p</font>,<font color="Maroon" title="c7">b</font> &amp; <font color="Maroon" title="c7">b</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">p</font>,<font color="Maroon" title="c7">b</font> &amp; <font color="Maroon" title="c3">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="c3">q</font>,<font color="Maroon" title="c7">b</font> &amp; <font color="Maroon" title="c7">b</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="c3">q</font>,<font color="Maroon" title="c7">b</font> &amp; <font color="Maroon" title="c3">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="c3">q</font>,<font color="Maroon" title="c6">a</font> &amp; <font color="Maroon" title="c6">a</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="c3">q</font>,<font color="Maroon" title="c6">a</font> &amp; <font color="Maroon" title="c4">p'</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="c4">p'</font>,<font color="Maroon" title="c8">x</font> &amp; <font color="Maroon" title="c8">x</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="c4">p'</font>,<font color="Maroon" title="c8">x</font> &amp; <font color="Maroon" title="c4">p'</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="c4">p'</font>,<font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c9">y</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="c4">p'</font>,<font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c5">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="c5">q'</font>,<font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c9">y</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="c5">q'</font>,<font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c5">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="c5">q'</font>,<font color="Maroon" title="c8">x</font> &amp; <font color="Maroon" title="c8">x</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="c5">q'</font>,<font color="Maroon" title="c8">x</font> )
 <b>by </b><i><a class="ref" href="aff_1.html#T26" title="AFF_1:th.26">AFF_1:26</a></i>;<br/><a NAME="E6:27_2"/><i><font color="Green" title="E41">A15</font></i>: 
(  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c8">x</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c8">x</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="txt" href="homothet.html#E2:27_2"><i><font color="Green" title="E37">A11</font></i></a>, <a class="txt" href="homothet.html#E3:27_2"><i><font color="Green" title="E38">A12</font></i></a>, <a class="ref" href="aff_1.html#T51" title="AFF_1:th.51">AFF_1:51</a></i>;<br/><a NAME="E7:27_2"/><i><font color="Green" title="E42">A16</font></i>: 
( not <font color="Maroon" title="c6">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; not <font color="Maroon" title="c7">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; not <font color="Maroon" title="c8">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; not <font color="Maroon" title="c9">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; not <font color="Maroon" title="c2">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; not <font color="Maroon" title="c3">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; not <font color="Maroon" title="c4">p'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; not <font color="Maroon" title="c5">q'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E1:27"><i><font color="Green" title="E28">A1</font></i></a>, <a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E1:27_2"><i><font color="Green" title="E36">A10</font></i></a>, <a class="ref" href="aff_1.html#T59" title="AFF_1:th.59">AFF_1:59</a></i>;<br/><a NAME="E8:27_2"/><i><font color="Green" title="E43">A17</font></i>: 
(  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c8">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c8">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c8">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp;  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c8">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E1:27"><i><font color="Green" title="E28">A1</font></i></a>, <a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E1:27_2"><i><font color="Green" title="E36">A10</font></i></a>, <a class="txt" href="homothet.html#E5:27_2"><i><font color="Green" title="E40">A14</font></i></a>, <a class="ref" href="aff_1.html#T59" title="AFF_1:th.59">AFF_1:59</a></i>;<br/><a NAME="E9:27_2"/><i><font color="Green" title="E44">A18</font></i>: 
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">x</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c9">y</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c4">p'</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c5">q'</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="ref" href="aff_1.html#T33" title="AFF_1:th.33">AFF_1:33</a></i>;<br/><div><i><font color="Green" title="E45">A19</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_1"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFP</font> st <br/>(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</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="b2">b</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="Olive" title="b2">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">c</font> )
 ;<br/><b>then consider </b><font color="Maroon" title="c20">d</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFP</font><b> such that </b><br/><a NAME="E3:27_2_1"/><i><font color="Green" title="E46">A20</font></i>: 
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c20">d</font> &amp; <font color="Maroon" title="c20">d</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">p</font> &amp; <font color="Maroon" title="c20">d</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E2:27_2"><i><font color="Green" title="E37">A11</font></i></a>, <a class="ref" href="translac.html#T2" title="TRANSLAC:th.2">TRANSLAC:2</a></i>;<br/><a NAME="E4:27_2_1"/><i><font color="Green" title="E47">A21</font></i>: 
<font color="Maroon" title="c20">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">p</font>,<font color="Maroon" title="c7">b</font>
 <b>by </b><i><a class="txt" href="homothet.html#E3:27_2_1"><i><font color="Green" title="E46">A20</font></i></a>, <a class="ref" href="aff_1.html#D2" title="AFF_1:def.2">AFF_1:def 2</a></i>;<br/><b>consider </b><font color="Maroon" title="c21">N</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">AFP</font><b> such that </b><br/><a NAME="E6:27_2_1"/><i><font color="Green" title="E48">A22</font></i>: 
( <font color="Maroon" title="c20">d</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c10">K</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c21">N</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="ref" href="aff_1.html#T63" title="AFF_1:th.63">AFF_1:63</a></i>;<br/><a NAME="E7:27_2_1"/><i><font color="Green" title="E49">A23</font></i>: 
<font color="Maroon" title="c21">N</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a> 
 <b>by </b><i><a class="txt" href="homothet.html#E6:27_2_1"><i><font color="Green" title="E48">A22</font></i></a>, <a class="ref" href="aff_1.html#T50" title="AFF_1:th.50">AFF_1:50</a></i>;<br/><a NAME="E8:27_2_1"/>
not  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c21">N</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:27_2_1_1"/>
 <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c9">y</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c21">N</font>
 ;<br/>

<a NAME="E2:27_2_1_1"/><b>then </b>
 <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c21">N</font>
 
<b>by </b><i><a class="txt" href="homothet.html#E6:27_2"><i><font color="Green" title="E41">A15</font></i></a>, <a class="ref" href="aff_1.html#T58" title="AFF_1:th.58">AFF_1:58</a></i>;<br/>
<a NAME="E3:27_2_1_1"/><b>then </b>
 <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c10">K</font>
 
<b>by </b><i><a class="txt" href="homothet.html#E6:27_2_1"><i><font color="Green" title="E48">A22</font></i></a>, <a class="ref" href="aff_1.html#T58" title="AFF_1:th.58">AFF_1:58</a></i>;<br/>
<b>hence </b><a NAME="E4:27_2_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E5:27_2"><i><font color="Green" title="E40">A14</font></i></a>, <a class="txt" href="homothet.html#E8:27_2"><i><font color="Green" title="E43">A17</font></i></a>, <a class="ref" href="aff_1.html#T59" title="AFF_1:th.59">AFF_1:59</a></i>;<br/>


</div><b>end;</b></div><b>then consider </b><font color="Maroon" title="c22">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFP</font><b> such that </b><br/><a NAME="E10:27_2_1"/><i><font color="Green" title="E50">A24</font></i>: 
( <font color="Maroon" title="c22">z</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="c4">p'</font>,<font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c22">z</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E4:27_2"><i><font color="Green" title="E39">A13</font></i></a>, <a class="txt" href="homothet.html#E7:27_2_1"><i><font color="Green" title="E49">A23</font></i></a>, <a class="ref" href="aff_1.html#T72" title="AFF_1:th.72">AFF_1:72</a></i>;<br/><a NAME="E11:27_2_1"/>
( <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c8">x</font> &amp; <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c20">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">p'</font>,<font color="Maroon" title="c22">z</font> &amp; <font color="Maroon" title="c2">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c4">p'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c8">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c20">d</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c22">z</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c10">K</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c10">K</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c10">K</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c10">K</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">N</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E1:27"><i><font color="Green" title="E28">A1</font></i></a>, <a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E1:27_2"><i><font color="Green" title="E36">A10</font></i></a>, <a class="txt" href="homothet.html#E4:27_2"><i><font color="Green" title="E39">A13</font></i></a>, <a class="txt" href="homothet.html#E5:27_2"><i><font color="Green" title="E40">A14</font></i></a>, <a class="txt" href="homothet.html#E6:27_2"><i><font color="Green" title="E41">A15</font></i></a>, <a class="txt" href="homothet.html#E8:27_2"><i><font color="Green" title="E43">A17</font></i></a>, <a class="txt" href="homothet.html#E3:27_2_1"><i><font color="Green" title="E46">A20</font></i></a>, <a class="txt" href="homothet.html#E4:27_2_1"><i><font color="Green" title="E47">A21</font></i></a>, <a class="txt" href="homothet.html#E6:27_2_1"><i><font color="Green" title="E48">A22</font></i></a>, <a class="txt" href="homothet.html#E10:27_2_1"><i><font color="Green" title="E50">A24</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/><a NAME="E12:27_2_1"/><b>then </b>
( <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c20">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">x</font>,<font color="Maroon" title="c22">z</font> &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">x</font>,<font color="Maroon" title="c5">q'</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c8">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c20">d</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c22">z</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c3">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c5">q'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c11">M</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c11">M</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c11">M</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c11">M</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E3:27"><i><font color="Green" title="E30">A3</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E4:27_2"><i><font color="Green" title="E39">A13</font></i></a>, <a class="txt" href="homothet.html#E5:27_2"><i><font color="Green" title="E40">A14</font></i></a>, <a class="txt" href="homothet.html#E6:27_2"><i><font color="Green" title="E41">A15</font></i></a>, <a class="txt" href="homothet.html#E8:27_2"><i><font color="Green" title="E43">A17</font></i></a>, <a class="txt" href="homothet.html#E3:27_2_1"><i><font color="Green" title="E46">A20</font></i></a>, <a class="txt" href="homothet.html#E4:27_2_1"><i><font color="Green" title="E47">A21</font></i></a>, <a class="txt" href="homothet.html#E4"><i><font color="Green" title="E4">Lm4</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a>, <a class="ref" href="aff_1.html#T58" title="AFF_1:th.58">AFF_1:58</a></i>;<br/><a NAME="E13:27_2_1"/><b>then </b>
( <font color="Maroon" title="c20">d</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c22">z</font>,<font color="Maroon" title="c9">y</font> &amp; <font color="Maroon" title="c20">d</font>,<font color="Maroon" title="c3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c22">z</font>,<font color="Maroon" title="c5">q'</font> &amp; <font color="Maroon" title="c20">d</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c22">z</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c21">N</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c9">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c3">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c5">q'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c21">N</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c21">N</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c10">K</font> &amp; <font color="Maroon" title="c21">N</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">M</font> &amp; <font color="Maroon" title="c21">N</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">K</font> )
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E3:27"><i><font color="Green" title="E30">A3</font></i></a>, <a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E4:27_2"><i><font color="Green" title="E39">A13</font></i></a>, <a class="txt" href="homothet.html#E5:27_2"><i><font color="Green" title="E40">A14</font></i></a>, <a class="txt" href="homothet.html#E6:27_2"><i><font color="Green" title="E41">A15</font></i></a>, <a class="txt" href="homothet.html#E8:27_2"><i><font color="Green" title="E43">A17</font></i></a>, <a class="txt" href="homothet.html#E3:27_2_1"><i><font color="Green" title="E46">A20</font></i></a>, <a class="txt" href="homothet.html#E4:27_2_1"><i><font color="Green" title="E47">A21</font></i></a>, <a class="txt" href="homothet.html#E6:27_2_1"><i><font color="Green" title="E48">A22</font></i></a>, <a class="txt" href="homothet.html#E10:27_2_1"><i><font color="Green" title="E50">A24</font></i></a>, <a class="txt" href="homothet.html#E4"><i><font color="Green" title="E4">Lm4</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/><b>hence </b><a NAME="E14:27_2_1"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E3:27"><i><font color="Green" title="E30">A3</font></i></a>, <a class="txt" href="homothet.html#E4"><i><font color="Green" title="E4">Lm4</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_2"/><i><font color="Green" title="E46">A25</font></i>: 
for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFP</font>  holds <br/>(  not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font> or  not <font color="Olive" title="b1">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b</font> or  not <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> or  not <font color="Olive" title="b2">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">c</font> )
 ;<br/><div><i><font color="Green" title="E47">A26</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_2_1"/><i><font color="Green" title="E48">A27</font></i>: 
( <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">p'</font> &amp; <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">q'</font> )
 ;<br/><a NAME="E2:27_2_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">x</font>
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/><a NAME="E3:27_2_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">x</font>,<font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/><a NAME="E4:27_2_2_1"/><b>then </b>
<font color="Maroon" title="c6">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">x</font>
 <b>by </b><i><a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E7:27_2"><i><font color="Green" title="E42">A16</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/><a NAME="E5:27_2_2_1"/><b>then </b>
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c5">q'</font>
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E6:27_2_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c5">q'</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/><a NAME="E7:27_2_2_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font>
 <b>by </b><i><a class="txt" href="homothet.html#E1:27_2_2_1"><i><font color="Green" title="E48">A27</font></i></a>, <a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/><b>hence </b><a NAME="E8:27_2_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E5:27"><i><font color="Green" title="E32">A5</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E7:27_2"><i><font color="Green" title="E42">A16</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/></div><b>end;</b></div><div><i><font color="Green" title="E48">A28</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_2_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_2_2"/><i><font color="Green" title="E49">A29</font></i>: 
( <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">p'</font> &amp; <font color="Maroon" title="c3">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">q'</font> )
 ;<br/><a NAME="E2:27_2_2_2"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/><a NAME="E3:27_2_2_2"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c9">y</font>,<font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/><a NAME="E4:27_2_2_2"/><b>then </b>
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E7:27_2"><i><font color="Green" title="E42">A16</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/><b>hence </b><a NAME="E5:27_2_2_2"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E1:27_2_2_2"><i><font color="Green" title="E49">A29</font></i></a>, <a class="ref" href="aff_1.html#T11" title="AFF_1:th.11">AFF_1:11</a></i>;<br/></div><b>end;</b></div><div><i><font color="Green" title="E49">A30</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_2_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_2_3"/><i><font color="Green" title="E50">A31</font></i>: 
( <font color="Maroon" title="c3">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">p'</font> &amp; <font color="Maroon" title="c3">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">q'</font> )
 ;<br/><a NAME="E2:27_2_2_3"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">x</font>
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/><a NAME="E3:27_2_2_3"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">x</font>,<font color="Maroon" title="c3">q</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/><a NAME="E4:27_2_2_3"/><b>then </b>
<font color="Maroon" title="c6">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">x</font>
 <b>by </b><i><a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E7:27_2"><i><font color="Green" title="E42">A16</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/><a NAME="E5:27_2_2_3"/><b>then </b>
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="txt" href="homothet.html#E1:27_2_2_3"><i><font color="Green" title="E50">A31</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E6:27_2_2_3"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/><a NAME="E7:27_2_2_3"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/><b>hence </b><a NAME="E8:27_2_2_3"/>
contradiction
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E5:27"><i><font color="Green" title="E32">A5</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E7:27_2"><i><font color="Green" title="E42">A16</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_2_4"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_2_4"/><i><font color="Green" title="E50">A32</font></i>: 
( <font color="Maroon" title="c3">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">p'</font> &amp; <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">q'</font> )
 ;<br/><div><i><font color="Green" title="E51">A33</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_2_4_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_2_4_1"/>
<font color="Maroon" title="c6">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">x</font>
 ;<br/><a NAME="E2:27_2_2_4_1"/><b>then </b>
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c2">p</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">q</font>
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="txt" href="homothet.html#E1:27_2_2_4"><i><font color="Green" title="E50">A32</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E3:27_2_2_4_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/><a NAME="E4:27_2_2_4_1"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/><b>hence </b><a NAME="E5:27_2_2_4_1"/>
contradiction
 <b>by </b><i><a class="txt" href="homothet.html#E2:27"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="homothet.html#E5:27"><i><font color="Green" title="E32">A5</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E7:27_2"><i><font color="Green" title="E42">A16</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_2_2_4_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_2_2_4_2"/><i><font color="Green" title="E52">A34</font></i>: 
<font color="Maroon" title="c7">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">x</font>
 ;<br/><a NAME="E2:27_2_2_4_2"/><b>then </b>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c9">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c6">a</font>
 <b>by </b><i><a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="txt" href="homothet.html#E2:27_2"><i><font color="Green" title="E37">A11</font></i></a>, <a class="txt" href="homothet.html#E1:27_2_2_4"><i><font color="Green" title="E50">A32</font></i></a>, <a class="ref" href="aff_1.html#T14" title="AFF_1:th.14">AFF_1:14</a></i>;<br/><a NAME="E3:27_2_2_4_2"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c9">y</font>,<font color="Maroon" title="c6">a</font>
 <b>by </b><i><a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/><a NAME="E4:27_2_2_4_2"/><b>then </b>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c9">y</font>,<font color="Maroon" title="c3">q</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/><a NAME="E5:27_2_2_4_2"/><b>then </b>
<font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font>
 <b>by </b><i><a class="txt" href="homothet.html#E4:27"><i><font color="Green" title="E31">A4</font></i></a>, <a class="txt" href="homothet.html#E6:27"><i><font color="Green" title="E33">A6</font></i></a>, <a class="txt" href="homothet.html#E7:27"><i><font color="Green" title="E34">A7</font></i></a>, <a class="txt" href="homothet.html#E7:27_2"><i><font color="Green" title="E42">A16</font></i></a>, <a class="txt" href="homothet.html#E1:27_2_2_4"><i><font color="Green" title="E50">A32</font></i></a>, <a class="txt" href="homothet.html#E1:27_2_2_4_2"><i><font color="Green" title="E52">A34</font></i></a>, <a class="ref" href="aff_1.html#T39" title="AFF_1:th.39">AFF_1:39</a></i>;<br/><b>hence </b><a NAME="E6:27_2_2_4_2"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:27_2_2_4"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E5:27"><i><font color="Green" title="E32">A5</font></i></a>, <a class="txt" href="homothet.html#E9:27_2"><i><font color="Green" title="E44">A18</font></i></a>, <a class="txt" href="homothet.html#E1:27_2_2"><i><font color="Green" title="E46">A25</font></i></a>, <a class="txt" href="homothet.html#E2:27_2_2_4"><i><font color="Green" title="E51">A33</font></i></a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E6:27_2_2"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E5:27"><i><font color="Green" title="E32">A5</font></i></a>, <a class="txt" href="homothet.html#E9:27_2"><i><font color="Green" title="E44">A18</font></i></a>, <a class="txt" href="homothet.html#E1:27_2_2"><i><font color="Green" title="E46">A25</font></i></a>, <a class="txt" href="homothet.html#E2:27_2_2"><i><font color="Green" title="E47">A26</font></i></a>, <a class="txt" href="homothet.html#E3:27_2_2"><i><font color="Green" title="E48">A28</font></i></a>, <a class="txt" href="homothet.html#E4:27_2_2"><i><font color="Green" title="E49">A30</font></i></a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E12:27_2"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E10:27_2"><i><font color="Green" title="E45">A19</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E10:27"/>
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">q'</font>,<font color="Maroon" title="c9">y</font>
 <b>by </b><i><a class="txt" href="homothet.html#E8:27"><i><font color="Green" title="E35">A8</font></i></a></i>;<br/>


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