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<b>let </b><font color="Maroon">S1</font> be   <a href="supinf_1.html#NM3">R_eal</a>, <font color="Maroon">S2</font> be   <a href="supinf_1.html#NM3">R_eal</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:52_1_1"/><i><font color="Green">E22</font></i>: 
( <font color="Maroon">S1</font> is    <a href="supinf_1.html#M1" target="_self">majorant</a> of <font color="Maroon">X</font> &amp; ( for <font color="Olive">y</font> being  <a href="supinf_1.html#NM3">R_eal</a>  st <font color="Olive">y</font> is    <a href="supinf_1.html#M1" target="_self">majorant</a> of <font color="Maroon">X</font> holds <br/><font color="Maroon">S1</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">y</font> ) )
 <b>and </b><br/><a NAME="E2:52_1_1"/><i><font color="Green">E23</font></i>: 
( <font color="Maroon">S2</font> is    <a href="supinf_1.html#M1" target="_self">majorant</a> of <font color="Maroon">X</font> &amp; ( for <font color="Olive">y</font> being  <a href="supinf_1.html#NM3">R_eal</a>  st <font color="Olive">y</font> is    <a href="supinf_1.html#M1" target="_self">majorant</a> of <font color="Maroon">X</font> holds <br/><font color="Maroon">S2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">y</font> ) )
 ;<br/>

<a NAME="E3:52_1_1"/>
( <font color="Maroon">S1</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">S2</font> &amp; <font color="Maroon">S2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">S1</font> )
 
<b>by </b><i>, <a class="ref" href="supinf_1.html#D9" target="_self">Def9</a></i>;<br/>
<b>hence </b><a NAME="E4:52_1_1"/>
<font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S2</font>
 <b>by </b><i/>;<br/>


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