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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="rlvect_2.html#M1">Linear_Combination</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:25"/><i><font color="Green">E15</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="circled1.html#V1" target="_self">circled</a>
 <b>and </b><br/><a NAME="E2:25"/><i><font color="Green">E16</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="rlvect_2.html#R1">=</a>  <a href="rlvect_2.html#K4">ZeroLC</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E3:25"/>
 <a href="rlvect_2.html#K3">Carrier</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="txt" href="circled1.html#E1:25"><i><font color="Green">E15</font></i></a>, <a class="ref" href="circled1.html#T16" target="_self">Th16</a></i>;<br/>
<b>hence </b><a NAME="E4:25"/>
contradiction
 <b>by </b><i><a class="txt" href="circled1.html#E2:25"><i><font color="Green">E16</font></i></a>, <a class="ref" href="rlvect_2.html#D7">RLVECT_2:def 7</a></i>;<br/>


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