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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>, <font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:26"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:26"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="convex1.html#K3">conv</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E3:26"/><i><font color="Green">E24</font></i>: 
 <a href="convex1.html#K2">Convex-Family</a> <font color="Maroon">c<sub>3</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="ref" href="convex2.html#T7">CONVEX2:7</a></i>;<br/>
<a NAME="E4:26"/>
 <a href="convex1.html#K2">Convex-Family</a> <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a>  <a href="convex1.html#K2">Convex-Family</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="rltopsp1.html#E1:26"><i><font color="Green">E22</font></i></a>, <a class="ref" href="rltopsp1.html#T20" target="_self">Th20</a></i>;<br/>
<a NAME="E5:26"/><b>then </b>
 <a href="setfam_1.html#K6">meet</a> <span class="p1">(<span class="default"><a href="convex1.html#K2">Convex-Family</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="setfam_1.html#K6">meet</a> <span class="p1">(<span class="default"><a href="convex1.html#K2">Convex-Family</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="rltopsp1.html#E3:26"><i><font color="Green">E24</font></i></a>, <a class="ref" href="setfam_1.html#T7">SETFAM_1:7</a></i>;<br/>
<b>hence </b><a NAME="E6:26"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="convex1.html#K3">conv</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="rltopsp1.html#E2:26"><i><font color="Green">E23</font></i></a></i>;<br/>


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