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<b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">j</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">A</font> be  <a href="integra1.html#V1">closed-interval</a> <a href="subset_1.html#NM2">Subset</a> of <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">D</font> be    <a href="integra1.html#M3">Element</a> of  <a href="integra1.html#K8">divs</a> <font color="Maroon">A</font>, <font color="Maroon">D1</font> be    <a href="integra1.html#M3">Element</a> of  <a href="integra1.html#K8">divs</a> <font color="Maroon">A</font>;<br/>







<b>assume </b><a NAME="E1:10"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">D</font> <a href="integra1.html#R4">&lt;=</a> <font color="Maroon">D1</font> &amp; <font color="Maroon">i</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">D</font> &amp; <font color="Maroon">j</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">D</font> &amp; <font color="Maroon">i</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">j</font> )
 ;<br/>

<a NAME="E2:10"/><b>then </b><i><font color="Green">E39</font></i>: 
( <font color="Maroon">D</font> <a href="goboard1.html#K1">.</a> <font color="Maroon">i</font> <a href="hidden.html#R1">=</a> <font color="Maroon">D1</font> <a href="goboard1.html#K1">.</a> <span class="p1">(<span class="default"><a href="integra1.html#K17">indx</a> <font color="Maroon">D1</font>,<font color="Maroon">D</font>,<font color="Maroon">i</font></span>)</span> &amp;  <a href="integra1.html#K17">indx</a> <font color="Maroon">D1</font>,<font color="Maroon">D</font>,<font color="Maroon">i</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">D1</font> )
 
<b>by </b><i><a class="ref" href="integra1.html#D21">INTEGRA1:def 21</a></i>;<br/>
<a NAME="E3:10"/><i><font color="Green">E40</font></i>: 
( <font color="Maroon">D</font> <a href="goboard1.html#K1">.</a> <font color="Maroon">j</font> <a href="hidden.html#R1">=</a> <font color="Maroon">D1</font> <a href="goboard1.html#K1">.</a> <span class="p1">(<span class="default"><a href="integra1.html#K17">indx</a> <font color="Maroon">D1</font>,<font color="Maroon">D</font>,<font color="Maroon">j</font></span>)</span> &amp;  <a href="integra1.html#K17">indx</a> <font color="Maroon">D1</font>,<font color="Maroon">D</font>,<font color="Maroon">j</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">D1</font> )
 
<b>by </b><i>, <a class="ref" href="integra1.html#D21">INTEGRA1:def 21</a></i>;<br/>
<a NAME="E4:10"/>
<font color="Maroon">D</font> <a href="goboard1.html#K1">.</a> <font color="Maroon">i</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">D</font> <a href="goboard1.html#K1">.</a> <font color="Maroon">j</font>
 
<b>by </b><i>, <a class="ref" href="goboard1.html#D1">GOBOARD1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E5:10"/>
 <a href="integra1.html#K17">indx</a> <font color="Maroon">D1</font>,<font color="Maroon">D</font>,<font color="Maroon">i</font> <a href="xxreal_0.html#R1">&lt;</a>  <a href="integra1.html#K17">indx</a> <font color="Maroon">D1</font>,<font color="Maroon">D</font>,<font color="Maroon">j</font>
 <b>by </b><i>, , <a class="ref" href="goboard2.html#T18">GOBOARD2:18</a></i>;<br/>


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