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<b>let </b><font color="Maroon">n</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">C</font> be  <a href="compts_1.html#V6">compact</a> non <a href="sppol_1.html#V1">horizontal</a> non <a href="sppol_1.html#V2">vertical</a> <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>



<a NAME="E1:66"/>
2 <a href="xxreal_0.html#R1">&lt;</a>  <a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:66"/><b>then </b><i><font color="Green">E59</font></i>: 
1 <a href="xxreal_0.html#R1">&lt;</a>  <a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font>
 
<b>by </b><i><a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>
<a NAME="E3:66"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font></span>)</span> <a href="binarith.html#K3">-'</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1 <a href="hidden.html#R1">=</a>  <a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font>
 
<b>by </b><i><a class="ref" href="binarith.html#T53">BINARITH:53</a></i>;<br/>
<b>hence </b><a NAME="E4:66"/>
1 <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font></span>)</span> <a href="binarith.html#K3">-'</a> 1
 <b>by </b><i>, <a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/>

<a NAME="E5:66"/><i><font color="Green">E60</font></i>: 
 <a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;</a>  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="jordan8.html#K1">Gauge</a> <font color="Maroon">C</font>,<font color="Maroon">n</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E6:66"/>
<span class="p1">(<span class="default"><a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font></span>)</span> <a href="binarith.html#K3">-'</a> 1 <a href="xxreal_0.html#R1">&lt;=</a>  <a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font>
 
<b>by </b><i><a class="ref" href="jordan3.html#T7">JORDAN3:7</a></i>;<br/>
<b>hence </b><a NAME="E7:66"/>
<span class="p1">(<span class="default"><a href="jordan1h.html#K3" target="_self">X-SpanStart</a> <font color="Maroon">C</font>,<font color="Maroon">n</font></span>)</span> <a href="binarith.html#K3">-'</a> 1 <a href="xxreal_0.html#R1">&lt;</a>  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="jordan8.html#K1">Gauge</a> <font color="Maroon">C</font>,<font color="Maroon">n</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>


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