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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="analmetr.html#NM2">OrtAfPl</a>;<br/>

<b>assume </b><a NAME="E1:25"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="euclmetr.html#V1" target="_self">Euclidean</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="euclmetr.html#V3" target="_self">Desarguesian</a> )
 ;<br/>

<a NAME="E2:25"/><b>then </b>
(  <a href="conaffm.html#NR3" target="_self">3H_holds_in</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="conaffm.html#NR1" target="_self">DES_holds_in</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="euclmetr.html#T8" target="_self">Th8</a>, <a class="ref" href="euclmetr.html#T11" target="_self">Th11</a></i>;<br/>
<a NAME="E3:25"/><b>then </b>
(  <a href="conmetr.html#NR1" target="_self">OPAP_holds_in</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="conaffm.html#NR1" target="_self">DES_holds_in</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="conmetr.html#T15">CONMETR:15</a></i>;<br/>
<a NAME="E4:25"/><b>then </b>
 <a href="conmetr.html#NR2" target="_self">PAP_holds_in</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="conmetr.html#T13">CONMETR:13</a></i>;<br/>
<b>hence </b><a NAME="E5:25"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="euclmetr.html#V2" target="_self">Pappian</a>
 <b>by </b><i><a class="ref" href="euclmetr.html#T10" target="_self">Th10</a></i>;<br/>


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