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<b>let </b><font color="Maroon" title="c1">X</font> be   <a href="analmetr.html#NM2" title="ANALMETR:NM.2">OrtAfPl</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> is <a href="conmetr.html#V5" title="CONMETR:attr.5">satisfying_TDES</a> iff  <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">X</font> is <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a> )</span><br/>

<a NAME="E1:20"/>
(  <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">X</font> is <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a> implies <font color="Maroon" title="c1">X</font> is <a href="conmetr.html#V5" title="CONMETR:attr.5">satisfying_TDES</a> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="20_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:20_1"/><i><font color="Green" title="E15">A1</font></i>: 
 <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">X</font> is <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">X</font> is <a href="conmetr.html#V5" title="CONMETR:attr.5">satisfying_TDES</a></span><br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="20_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c2">o'</font>, <font color="Maroon" title="c3">a'</font>, <font color="Maroon" title="c4">a1'</font>, <font color="Maroon" title="c5">b'</font>, <font color="Maroon" title="c6">b1'</font>, <font color="Maroon" title="c7">c'</font>, <font color="Maroon" title="c8">c1'</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">o'</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">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a1'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">b'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">c'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">c1'</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c6">b1'</font>,<font color="Maroon" title="c3">a'</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c6">b1'</font>,<font color="Maroon" title="c7">c'</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c4">a1'</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c6">b1'</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c7">c'</font>,<font color="Maroon" title="c8">c1'</font> &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1'</font>,<font color="Maroon" title="c6">b1'</font> &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c7">c'</font> &amp; <font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c7">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b1'</font>,<font color="Maroon" title="c8">c1'</font> implies <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c7">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1'</font>,<font color="Maroon" title="c8">c1'</font> )</span><br/><b>assume </b><a NAME="E1:20_1_1"/><i><font color="Green" title="E16">A2</font></i>: 
( <font color="Maroon" title="c2">o'</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">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a1'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">b'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b1'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">c'</font> &amp; <font color="Maroon" title="c2">o'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">c1'</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c6">b1'</font>,<font color="Maroon" title="c3">a'</font> &amp; not  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c6">b1'</font>,<font color="Maroon" title="c7">c'</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c4">a1'</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c6">b1'</font> &amp;  <a href="analmetr.html#R5" title="ANALMETR:pred.5">LIN</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c7">c'</font>,<font color="Maroon" title="c8">c1'</font> &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1'</font>,<font color="Maroon" title="c6">b1'</font> &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">o'</font>,<font color="Maroon" title="c7">c'</font> &amp; <font color="Maroon" title="c5">b'</font>,<font color="Maroon" title="c7">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b1'</font>,<font color="Maroon" title="c8">c1'</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c7">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1'</font>,<font color="Maroon" title="c8">c1'</font></span><br/><b>reconsider </b><font color="Maroon" title="c9">o</font> = <font color="Maroon" title="c2">o'</font>, <font color="Maroon" title="c10">a</font> = <font color="Maroon" title="c3">a'</font>, <font color="Maroon" title="c11">a1</font> = <font color="Maroon" title="c4">a1'</font>, <font color="Maroon" title="c12">b</font> = <font color="Maroon" title="c5">b'</font>, <font color="Maroon" title="c13">b1</font> = <font color="Maroon" title="c6">b1'</font>, <font color="Maroon" title="c14">c</font> = <font color="Maroon" title="c7">c'</font>, <font color="Maroon" title="c15">c1</font> = <font color="Maroon" title="c8">c1'</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">X</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/><a NAME="E3:20_1_1"/><i><font color="Green" title="E17">A3</font></i>: 
( not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">b1</font>,<font color="Maroon" title="c10">a</font> &amp; not  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">b1</font>,<font color="Maroon" title="c14">c</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c9">o</font>,<font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">a1</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c9">o</font>,<font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">b1</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c9">o</font>,<font color="Maroon" title="c14">c</font>,<font color="Maroon" title="c15">c1</font> )
 <b>by </b><i><a class="txt" href="#E1:20_1_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T55" title="ANALMETR:th.55">ANALMETR:55</a></i>;<br/><a NAME="E4:20_1_1"/><i><font color="Green" title="E18">A4</font></i>: 
( <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c12">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">a1</font>,<font color="Maroon" title="c13">b1</font> &amp; <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c12">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">o</font>,<font color="Maroon" title="c14">c</font> &amp; <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c14">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">b1</font>,<font color="Maroon" title="c15">c1</font> )
 <b>by </b><i><a class="txt" href="#E1:20_1_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/><b>consider </b><font color="Maroon" title="c16">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">X</font></span>)</span><b> such that </b><br/><a NAME="E6:20_1_1"/><i><font color="Green" title="E19">A5</font></i>: 
( <font color="Maroon" title="c16">M</font> is <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a> &amp; <font color="Maroon" title="c9">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c16">M</font> &amp; <font color="Maroon" title="c14">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c16">M</font> &amp; <font color="Maroon" title="c15">c1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c16">M</font> )
 <b>by </b><i><a class="txt" href="#E3:20_1_1"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T33" title="AFF_1:th.33">AFF_1:33</a></i>;<br/><a NAME="E7:20_1_1"/><i><font color="Green" title="E20">A6</font></i>: 
<font color="Maroon" title="c16">M</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c16">M</font>
 <b>by </b><i><a class="txt" href="#E6:20_1_1"><i><font color="Green" title="E19">A5</font></i></a>, <a class="ref" href="aff_1.html#T55" title="AFF_1:th.55">AFF_1:55</a></i>;<br/><a NAME="E8:20_1_1"/><i><font color="Green" title="E21">A7</font></i>: 
not <font color="Maroon" title="c12">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c16">M</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="20_1_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:20_1_1_1"/>
<font color="Maroon" title="c12">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c16">M</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:20_1_1_1"/><b>then </b><i><font color="Green" title="E22">A8</font></i>: 
<font color="Maroon" title="c9">o</font>,<font color="Maroon" title="c12">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c14">c</font>
 
<b>by </b><i><a class="txt" href="#E6:20_1_1"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="#E7:20_1_1"><i><font color="Green" title="E20">A6</font></i></a>, <a class="ref" href="aff_1.html#T53" title="AFF_1:th.53">AFF_1:53</a></i>;<br/>
<a NAME="E3:20_1_1_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">b1</font>,<font color="Maroon" title="c9">o</font>
 
<b>by </b><i><a class="txt" href="#E3:20_1_1"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T15" title="AFF_1:th.15">AFF_1:15</a></i>;<br/>
<a NAME="E4:20_1_1_1"/><b>then </b>
<font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c9">o</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="E5:20_1_1_1"/><b>then </b>
<font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">o</font>,<font color="Maroon" title="c12">b</font>
 
<b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/>
<a NAME="E6:20_1_1_1"/><b>then </b>
<font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c13">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c14">c</font>
 
<b>by </b><i><a class="txt" href="#E1:20_1_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="#E2:20_1_1_1"><i><font color="Green" title="E22">A8</font></i></a>, <a class="ref" href="aff_1.html#T14" title="AFF_1:th.14">AFF_1:14</a></i>;<br/>
<b>hence </b><a NAME="E7:20_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="#E3:20_1_1"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div><a NAME="E9:20_1_1"/><i><font color="Green" title="E22">A9</font></i>: 
( <font color="Maroon" title="c9">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c14">c</font> &amp; <font color="Maroon" title="c12">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">a</font> )
 <b>by </b><i><a class="txt" href="#E1:20_1_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="#E3:20_1_1"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="aff_1.html#T16" title="AFF_1:th.16">AFF_1:16</a></i>;<br/><a NAME="E10:20_1_1"/><i><font color="Green" title="E23">A10</font></i>: 
( <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c10">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">b1</font>,<font color="Maroon" title="c11">a1</font> &amp; <font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c14">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">b1</font>,<font color="Maroon" title="c15">c1</font> )
 <b>by </b><i><a class="txt" href="#E4:20_1_1"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E11:20_1_1"/>
<font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c10">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">o</font>,<font color="Maroon" title="c14">c</font>
 <b>by </b><i><a class="txt" href="#E4:20_1_1"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E12:20_1_1"/><b>then </b>
<font color="Maroon" title="c12">b</font>,<font color="Maroon" title="c10">a</font> <a href="aff_1.html#R2" title="AFF_1:pred.2">//</a> <font color="Maroon" title="c16">M</font>
 <b>by </b><i><a class="txt" href="#E1:20_1_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="txt" href="#E6:20_1_1"><i><font color="Green" title="E19">A5</font></i></a>, <a class="ref" href="aff_1.html#T41" title="AFF_1:th.41">AFF_1:41</a></i>;<br/><a NAME="E13:20_1_1"/><b>then </b>
<font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c14">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">a1</font>,<font color="Maroon" title="c15">c1</font>
 <b>by </b><i><a class="txt" href="#E1:20_1"><i><font color="Green" title="E15">A1</font></i></a>, <a class="txt" href="#E3:20_1_1"><i><font color="Green" title="E17">A3</font></i></a>, <a class="txt" href="#E6:20_1_1"><i><font color="Green" title="E19">A5</font></i></a>, <a class="txt" href="#E8:20_1_1"><i><font color="Green" title="E21">A7</font></i></a>, <a class="txt" href="#E9:20_1_1"><i><font color="Green" title="E22">A9</font></i></a>, <a class="txt" href="#E10:20_1_1"><i><font color="Green" title="E23">A10</font></i></a>, <a class="ref" href="aff_2.html#D7" title="AFF_2:def.7">AFF_2:def 7</a></i>;<br/><b>hence </b><a NAME="E14:20_1_1"/>
<font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c7">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1'</font>,<font color="Maroon" title="c8">c1'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:20_1"/>
<font color="Maroon" title="c1">X</font> is <a href="conmetr.html#V5" title="CONMETR:attr.5">satisfying_TDES</a>
 <b>by </b><i><a class="ref" href="conmetr.html#D5" title="CONMETR:def.5">CONMETR:def 5</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:20"/>
( <font color="Maroon" title="c1">X</font> is <a href="conmetr.html#V5" title="CONMETR:attr.5">satisfying_TDES</a> iff  <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">X</font> is <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a> )
 <b>by </b><i><a class="ref" href="conmetr.html#T7" title="CONMETR:th.7">CONMETR:7</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
