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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="relat_1.html#NM1">Relation</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:78"/><i><font color="Green">E47</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="orders_1.html#R7" target="_self">is_minimal_in</a> <font color="Maroon">c<sub>1</sub></font>
 <b>and </b><br/><a NAME="E2:78"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="relat_2.html#V6">connected</a>
 ;<br/>

<b>thus </b><a NAME="E3:78"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K3">field</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="orders_1.html#E1:78"><i><font color="Green">E47</font></i></a>, <a class="ref" href="orders_1.html#D12" target="_self">Def12</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="orders_1.html#D14" target="_self">ORDERS_1:def 14</a><br/>

<a NAME="E4:78"/><i><font color="Green">E50</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="relat_2.html#R6">is_connected_in</a>  <a href="relat_1.html#K3">field</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="orders_1.html#E2:78"><i><font color="Green">E48</font></i></a>, <a class="ref" href="relat_2.html#D14">RELAT_2:def 14</a></i>;<br/>
<b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E5:78"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K3">field</a> <font color="Maroon">c<sub>1</sub></font>
 <b>and </b><br/><a NAME="E6:78"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E7:78"/>
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font> or <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="txt" href="orders_1.html#E3:78"><i><font color="Green">E49</font></i></a>, <a class="txt" href="orders_1.html#E4:78"><i><font color="Green">E50</font></i></a>, <a class="txt" href="orders_1.html#E5:78"><i><font color="Green">E51</font></i></a>, <a class="txt" href="orders_1.html#E6:78"><i><font color="Green">E52</font></i></a>, <a class="ref" href="relat_2.html#D6">RELAT_2:def 6</a></i>;<br/>
<b>hence </b><a NAME="E8:78"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="orders_1.html#E1:78"><i><font color="Green">E47</font></i></a>, <a class="txt" href="orders_1.html#E5:78"><i><font color="Green">E51</font></i></a>, <a class="ref" href="orders_1.html#D12" target="_self">Def12</a></i>;<br/>


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