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<b>let </b><font color="Maroon">R1</font> be   <a href="eqrel_1.html#NM2">Equivalence_Relation</a> of <font color="Maroon">X</font>, <font color="Maroon">R2</font> be   <a href="eqrel_1.html#NM2">Equivalence_Relation</a> of <font color="Maroon">X</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:17_1_1"/><i><font color="Green">E38</font></i>: 
( <font color="Maroon">EqR1</font> <a href="eqrel_1.html#K3" target="_self">\/</a> <font color="Maroon">EqR2</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">R1</font> &amp; ( for <font color="Olive">EqR</font> being  <a href="eqrel_1.html#NM2">Equivalence_Relation</a> of <font color="Maroon">X</font>  st <font color="Maroon">EqR1</font> <a href="eqrel_1.html#K3" target="_self">\/</a> <font color="Maroon">EqR2</font> <a href="tarski.html#R1">c=</a> <font color="Olive">EqR</font> holds <br/><font color="Maroon">R1</font> <a href="tarski.html#R1">c=</a> <font color="Olive">EqR</font> ) )
 <b>and </b><br/><a NAME="E2:17_1_1"/><i><font color="Green">E39</font></i>: 
( <font color="Maroon">EqR1</font> <a href="eqrel_1.html#K3" target="_self">\/</a> <font color="Maroon">EqR2</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">R2</font> &amp; ( for <font color="Olive">EqR</font> being  <a href="eqrel_1.html#NM2">Equivalence_Relation</a> of <font color="Maroon">X</font>  st <font color="Maroon">EqR1</font> <a href="eqrel_1.html#K3" target="_self">\/</a> <font color="Maroon">EqR2</font> <a href="tarski.html#R1">c=</a> <font color="Olive">EqR</font> holds <br/><font color="Maroon">R2</font> <a href="tarski.html#R1">c=</a> <font color="Olive">EqR</font> ) )
 ;<br/>

<a NAME="E3:17_1_1"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">R1</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">R2</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:17_1_1"/>
<font color="Maroon">R2</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">R1</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E5:17_1_1"/>
<font color="Maroon">R1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">R2</font>
 <b>by </b><i>, <a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>;<br/>


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