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<b>let </b><font color="Maroon">S</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="finseq_1.html#NM1">FinSequence</a>;<br/><b>let </b><font color="Maroon">T</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="relat_1.html#K2">rng</a> <font color="Maroon">S</font></span>)</span>;<br/>



<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(   <a href="hidden.html#M1">set</a> ) <b>-&gt; </b>   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  = <font color="Maroon">a<sub>1</sub></font> <a href="finseq_4.html#K5">..</a> <font color="Maroon">S</font>;<br/>
<b>consider </b><font color="Maroon">m</font> being    <a href="subset_1.html#M2">Element</a> of <font color="Maroon">T</font><b> such that </b><br/><a NAME="E2:17"/><i><font color="Green">E30</font></i>: 
for <font color="Olive">y</font> being   <a href="subset_1.html#M2">Element</a> of <font color="Maroon">T</font> holds  <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">m</font>) <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">y</font>)
 <b>from </b><i><a class="ref" href="graph_5.html#S2">GRAPH_5:sch 2</a>();<br/></i>
<b>take </b>
<font color="Maroon">m</font>
;<br/>

<b>thus </b><a NAME="E3:17"/>
<font color="Maroon">m</font> <a href="hidden.html#R2">in</a> <font color="Maroon">T</font>
 ;<br/>

<b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E4:17"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <font color="Maroon">T</font>
 ;<br/>

<b>thus </b><a NAME="E5:17"/>
<font color="Maroon">m</font> <a href="finseq_4.html#K5">..</a> <font color="Maroon">S</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">y</font> <a href="finseq_4.html#K5">..</a> <font color="Maroon">S</font>
 <b>by </b><i>, </i>;<br/>


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