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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="diraf.html#NM1">AffinSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:4"/><i><font color="Green">E4</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>
 <b>and </b><br/><a NAME="E2:4"/><i><font color="Green">E5</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="aff_4.html#NR1" target="_self">is_plane</a> 
 ;<br/>

<b>assume </b><a NAME="E3:4"/>
<font color="Maroon">c<sub>1</sub></font> is  not   <a href="diraf.html#NM2">AffinPlane</a>
 ;<br/>

<a NAME="E4:4"/><b>then </b>
not for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font> holds <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="afproj.html#E2:4"><i><font color="Green">E5</font></i></a>, <a class="ref" href="aff_4.html#T48">AFF_4:48</a></i>;<br/>
<b>hence </b><a NAME="E5:4"/>
contradiction
 <b>by </b><i><a class="txt" href="afproj.html#E1:4"><i><font color="Green">E4</font></i></a></i>;<br/>


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