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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="finseq_1.html#M2">FinSequence</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<span class="p1">(<span class="default">0 <a href="binarith.html#K5">-'</a> 0</span>)</span> <a href="nat_1.html#K1">+</a> 1 = 
<span class="p1">(<span class="default">0 <a href="real_1.html#K5">-</a> 0</span>)</span> <a href="real_1.html#K3">+</a> 1
<b>by </b><i><a class="ref" href="binarith.html#T50">BINARITH:50</a></i>
<br/>.= 
1

;<br/>
<a NAME="E2:16"/><b>then </b><i><font color="Green">E19</font></i>: 
 <a href="jordan3.html#K1">mid</a> <font color="Maroon">c<sub>2</sub></font>,0,0 <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rfinseq.html#K1">/^</a> <span class="p2">(<span class="default">0 <a href="binarith.html#K5">-'</a> 1</span>)</span></span>)</span> <a href="finseq_1.html#K17">|</a> 1
 
<b>by </b><i><a class="ref" href="jordan3.html#D1">JORDAN3:def 1</a></i>;<br/>
<a NAME="E3:16"/>
0 <a href="real_1.html#K5">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0
 
;<br/>
<a NAME="E4:16"/><b>then </b>
0 <a href="binarith.html#K5">-'</a> 1 <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="binarith.html#D3">BINARITH:def 3</a></i>;<br/>
<b>hence </b><a NAME="E5:16"/>
 <a href="jordan3.html#K1">mid</a> <font color="Maroon">c<sub>2</sub></font>,0,0 <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="finseq_1.html#K17">|</a> 1
 <b>by </b><i><a class="txt" href="jordan4.html#E2:16"><i><font color="Green">E19</font></i></a>, <a class="ref" href="finseq_5.html#T31">FINSEQ_5:31</a></i>;<br/>


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