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<span class="kw">let </span><font color="Maroon" title="c1">V</font> be   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">OAS</font> being  <a href="analoaf.html#NM1" title="ANALOAF:NM.1">OAffinSpace</a>  st <font color="Olive" title="b1">OAS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="analoaf.html#K2" title="ANALOAF:func.2">OASpace</a> <font color="Maroon" title="c1">V</font> holds <br/> <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Olive" title="b1">OAS</font> is  <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">OAS</font> be   <a href="analoaf.html#NM1" title="ANALOAF:NM.1">OAffinSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">OAS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="analoaf.html#K2" title="ANALOAF:func.2">OASpace</a> <font color="Maroon" title="c1">V</font> implies  <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c2">OAS</font> is  <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a>  )</span><br/>



<span class="kw">assume </span><a NAME="E1:29"/>
<font color="Maroon" title="c2">OAS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="analoaf.html#K2" title="ANALOAF:func.2">OASpace</a> <font color="Maroon" title="c1">V</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c2">OAS</font> is  <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a> </span><br/>

<a NAME="E2:29"/><span class="kw">then </span>
 <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c2">OAS</font> is  <a href="aff_2.html#V4" title="AFF_2:attr.4">Desarguesian</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="papdesaf.html#T14" target="_self" title="PAPDESAF:th.14">Th14</a>, <a class="ref" href="papdesaf.html#T17" target="_self" title="PAPDESAF:th.17">Th17</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:29"/>
 <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c2">OAS</font> is  <a href="aff_2.html#V7" title="AFF_2:attr.7">Moufangian</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="papdesaf.html#T21" target="_self" title="PAPDESAF:th.21">Th21</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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