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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">R</font> be   <a href="eqrel_1.html#NM1">Tolerance</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">T</font> be   <a href="eqrel_1.html#NM1">Tolerance</a> of <font color="Maroon">X</font>;<br/>





<b>assume </b><a NAME="E1:48"/><i><font color="Green">E21</font></i>: 
 <a href="toler_1.html#K4" target="_self">TolClasses</a> <font color="Maroon">R</font> <a href="tarski.html#R1">c=</a>  <a href="toler_1.html#K4" target="_self">TolClasses</a> <font color="Maroon">T</font>
 ;<br/>

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="relat_1.html#D3">RELAT_1:def 3</a><br/><b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><a NAME="E2:48"/>
<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> <font color="Maroon">R</font>
 ;<br/>

<b>then consider </b><font color="Maroon">Z</font> being   <a href="toler_1.html#NM2">TolClass</a> of <font color="Maroon">R</font><b> such that </b><br/><a NAME="E4:48"/><i><font color="Green">E22</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Z</font> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Z</font> )
 <b>by </b><i><a class="ref" href="toler_1.html#T8" target="_self">Th8</a></i>;<br/>
<a NAME="E5:48"/>
<font color="Maroon">Z</font> <a href="hidden.html#R2">in</a>  <a href="toler_1.html#K4" target="_self">TolClasses</a> <font color="Maroon">R</font>
 
<b>by </b><i><a class="ref" href="toler_1.html#T15" target="_self">Th15</a></i>;<br/>
<a NAME="E6:48"/><b>then </b>
<font color="Maroon">Z</font> is    <a href="toler_1.html#M1" target="_self">TolSet</a> of <font color="Maroon">T</font>
 
<b>by </b><i>, <a class="ref" href="toler_1.html#T15" target="_self">Th15</a></i>;<br/>
<b>hence </b><a NAME="E7:48"/>
<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> <font color="Maroon">T</font>
 <b>by </b><i><a class="ref" href="toler_1.html#T27" target="_self">Th27</a>, <a class="ref" href="toler_1.html#T2" target="_self">Th2</a></i>;<br/>


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