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<b>let </b><font color="Maroon">CS</font> be   <a href="transgeo.html#NM1">CongrSpace</a>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="relat_2.html#D3">RELAT_2:def 3</a><br/>



<b>assume </b><b>that </b><br/><a NAME="E1:33"/><i><font color="Green">E22</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">CS</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">CS</font></span><a href="zfmisc_1.html#K2">:]</a></span> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">CS</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">CS</font></span><a href="zfmisc_1.html#K2">:]</a></span> )
 <b>and </b><br/><a NAME="E2:33"/><i><font color="Green">E25</font></i>: 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="analoaf.html#U1">CONGR</a> of <font color="Maroon">CS</font>
 ;<br/>

<b>consider </b><font color="Maroon">x1</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">CS</font>, <font color="Maroon">x2</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">CS</font><b> such that </b><br/><a NAME="E4:33"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">x2</font></span><a href="tarski.html#K4">]</a></span>
 <b>by </b><i>, <a class="ref" href="domain_1.html#T9">DOMAIN_1:9</a></i>;<br/>
<b>consider </b><font color="Maroon">y1</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">CS</font>, <font color="Maroon">y2</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">CS</font><b> such that </b><br/><a NAME="E6:33"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">y1</font>,<font color="Maroon">y2</font></span><a href="tarski.html#K4">]</a></span>
 <b>by </b><i>, <a class="ref" href="domain_1.html#T9">DOMAIN_1:9</a></i>;<br/>
<a NAME="E7:33"/>
<font color="Maroon">x1</font>,<font color="Maroon">x2</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">y1</font>,<font color="Maroon">y2</font>
 
<b>by </b><i>, <a class="ref" href="transgeo.html#T2" target="_self">Th2</a>, <a class="ref" href="transgeo.html#T4" target="_self">Th4</a>, <a class="ref" href="analoaf.html#D2">ANALOAF:def 2</a></i>;<br/>
<a NAME="E8:33"/><b>then </b>
<font color="Maroon">y1</font>,<font color="Maroon">y2</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">x1</font>,<font color="Maroon">x2</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E9:33"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">y</font>,<font color="Maroon">x</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="analoaf.html#U1">CONGR</a> of <font color="Maroon">CS</font>
 <b>by </b><i><a class="ref" href="transgeo.html#T2" target="_self">Th2</a>, <a class="ref" href="transgeo.html#T4" target="_self">Th4</a>, <a class="ref" href="analoaf.html#D2">ANALOAF:def 2</a></i>;<br/>


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