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<b>let </b><font color="Maroon" title="c1">MS</font> be   <a href="analmetr.html#NM2" title="ANALMETR:NM.2">OrtAfPl</a>;<br/>

<b>set </b><font color="Maroon" title="c2">AS</font> =  <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font>;<br/>
<div><i><font color="Green" title="E20">A1</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="20_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:20_1"/>
<font color="Maroon" title="c1">MS</font> is <a href="euclmetr.html#V3" title="EUCLMETR:attr.3">Desarguesian</a>
 ;<br/><a NAME="E2:20_1"/><b>then </b>
 <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font> <a href="papdesaf.html#NR2" title="PAPDESAF:NR.2">satisfies_DES'</a> 
 <b>by </b><i><a class="ref" href="euclmetr.html#D3" target="_self" title="EUCLMETR:def.3">Def3</a></i>;<br/><b>hence </b><a NAME="E3:20_1"/>
 <a href="conaffm.html#NR1" title="CONAFFM:NR.1">DES_holds_in</a> <font color="Maroon" title="c1">MS</font>
 <b>by </b><i><a class="txt" href="euclmetr.html#E19"><i><font color="Green" title="E18">Lm2</font></i></a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="20_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:20_2"/>
 <a href="conaffm.html#NR1" title="CONAFFM:NR.1">DES_holds_in</a> <font color="Maroon" title="c1">MS</font>
 ;<br/><a NAME="E2:20_2"/><b>then </b>
 <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font> is <a href="aff_2.html#V4" title="AFF_2:attr.4">Desarguesian</a>
 <b>by </b><i><a class="txt" href="euclmetr.html#E19"><i><font color="Green" title="E18">Lm2</font></i></a></i>;<br/><b>hence </b><a NAME="E3:20_2"/>
<font color="Maroon" title="c1">MS</font> is <a href="euclmetr.html#V3" title="EUCLMETR:attr.3">Desarguesian</a>
 <b>by </b><i><a class="ref" href="euclmetr.html#D3" target="_self" title="EUCLMETR:def.3">Def3</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:20"/>
( <font color="Maroon" title="c1">MS</font> is <a href="euclmetr.html#V3" title="EUCLMETR:attr.3">Desarguesian</a> iff  <a href="conaffm.html#NR1" title="CONAFFM:NR.1">DES_holds_in</a> <font color="Maroon" title="c1">MS</font> )
 <b>by </b><i><a class="txt" href="euclmetr.html#E1:20"><i><font color="Green" title="E20">A1</font></i></a></i>;<br/>


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