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<b>let </b><font color="Maroon" title="c1">X</font> be   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">M1</font>, <font color="Maroon" title="c3">M2</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">X</font>;<br/>



<b>assume </b><a NAME="E1:25"/><i><font color="Green" title="E21">A1</font></i>: 
<font color="Maroon" title="c2">M1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">M2</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">M</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:25"/><i><font color="Green" title="E22">A2</font></i>: 
<font color="Maroon" title="c4">M</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="convex1.html#K2" title="CONVEX1:func.2">Convex-Family</a> <font color="Maroon" title="c3">M2</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c5">M</font> = <font color="Maroon" title="c4">M</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">X</font> ;<br/>
<a NAME="E4:25"/>
<font color="Maroon" title="c3">M2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">M</font>
 
<b>by </b><i><a class="txt" href="rltopsp1.html#E2:25"><i><font color="Green" title="E22">A2</font></i></a>, <a class="ref" href="convex1.html#D4" title="CONVEX1:def.4">CONVEX1:def 4</a></i>;<br/>
<a NAME="E5:25"/><b>then </b><i><font color="Green" title="E23">A3</font></i>: 
<font color="Maroon" title="c2">M1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">M</font>
 
<b>by </b><i><a class="txt" href="rltopsp1.html#E1:25"><i><font color="Green" title="E21">A1</font></i></a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E6:25"/>
<font color="Maroon" title="c5">M</font> is <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a>
 
<b>by </b><i><a class="txt" href="rltopsp1.html#E2:25"><i><font color="Green" title="E22">A2</font></i></a>, <a class="ref" href="convex1.html#D4" title="CONVEX1:def.4">CONVEX1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E7:25"/>
<font color="Maroon" title="c4">M</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="convex1.html#K2" title="CONVEX1:func.2">Convex-Family</a> <font color="Maroon" title="c2">M1</font>
 <b>by </b><i><a class="txt" href="rltopsp1.html#E5:25"><i><font color="Green" title="E23">A3</font></i></a>, <a class="ref" href="convex1.html#D4" title="CONVEX1:def.4">CONVEX1:def 4</a></i>;<br/>


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