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<b>let </b><font color="Maroon">X</font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">M1</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>, <font color="Maroon">M2</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>;<br/>



<b>assume </b><a NAME="E1:25"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">M1</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">M2</font>
 ;<br/>

<b>let </b><font color="Maroon">M</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="E2:25"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">M</font> <a href="hidden.html#R2">in</a>  <a href="convex1.html#K2">Convex-Family</a> <font color="Maroon">M2</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">M</font> = <font color="Maroon">M</font> as   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font> ;<br/>
<a NAME="E4:25"/>
<font color="Maroon">M2</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">M</font>
 
<b>by </b><i>, <a class="ref" href="convex1.html#D4">CONVEX1:def 4</a></i>;<br/>
<a NAME="E5:25"/><b>then </b><i><font color="Green">E38</font></i>: 
<font color="Maroon">M1</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">M</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E6:25"/>
<font color="Maroon">M</font> is <a href="convex1.html#V1">convex</a>
 
<b>by </b><i>, <a class="ref" href="convex1.html#D4">CONVEX1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E7:25"/>
<font color="Maroon">M</font> <a href="hidden.html#R2">in</a>  <a href="convex1.html#K2">Convex-Family</a> <font color="Maroon">M1</font>
 <b>by </b><i>, <a class="ref" href="convex1.html#D4">CONVEX1:def 4</a></i>;<br/>


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