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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="rltopsp1.html#V3" target="_self">circled</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="real_1.html#NM1">Real</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="rltopsp1.html#D6" target="_self">RLTOPSP1:def 6</a><br/>





<b>assume </b><a NAME="E1:50"/>
 <a href="complex1.html#K18">abs</a> <font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 1
 ;<br/>

<a NAME="E2:50"/><b>then </b><i><font color="Green">E34</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="convex1.html#K1">*</a> <font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="rltopsp1.html#D6" target="_self">Def6</a></i>;<br/>
<a NAME="E3:50"/>
<font color="Maroon">c<sub>3</sub></font> <a href="convex1.html#K1">*</a> <span class="p1">(<span class="default"><a href="convex1.html#K3">conv</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="convex1.html#K3">conv</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="convex1.html#K1">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="rltopsp1.html#T19" target="_self">Th19</a></i>;<br/>
<b>hence </b><a NAME="E4:50"/>
<font color="Maroon">c<sub>3</sub></font> <a href="convex1.html#K1">*</a> <span class="p1">(<span class="default"><a href="convex1.html#K3">conv</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="convex1.html#K3">conv</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="rltopsp1.html#E2:50"><i><font color="Green">E34</font></i></a>, <a class="ref" href="rltopsp1.html#T21" target="_self">Th21</a></i>;<br/>


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