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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="E1:15"/><i><font color="Green">E9</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="E2:15"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="circled1.html#K1" target="_self">Circled-Family</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>4</sub></font> as   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font> ;<br/>
<a NAME="E4:15"/>
<font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="circled1.html#E2:15"><i><font color="Green">E10</font></i></a>, <a class="ref" href="circled1.html#D2" target="_self">Def2</a></i>;<br/>
<a NAME="E5:15"/><b>then </b><i><font color="Green">E11</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="circled1.html#E1:15"><i><font color="Green">E9</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E6:15"/>
<font color="Maroon">c<sub>5</sub></font> is <a href="rltopsp1.html#V3">circled</a>
 
<b>by </b><i><a class="txt" href="circled1.html#E2:15"><i><font color="Green">E10</font></i></a>, <a class="ref" href="circled1.html#D2" target="_self">Def2</a></i>;<br/>
<b>hence </b><a NAME="E7:15"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="circled1.html#K1" target="_self">Circled-Family</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="circled1.html#E5:15"><i><font color="Green">E11</font></i></a>, <a class="ref" href="circled1.html#D2" target="_self">Def2</a></i>;<br/>


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