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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<b>assume </b><a NAME="E1:80"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 ;<br/>

<a NAME="E2:80"/>
<font color="Maroon">c<sub>1</sub></font> <a href="xcmplx_0.html#K6">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K1" target="_self">/]</a></span>
 
<b>by </b><i><a class="ref" href="int_1.html#D4" target="_self">Def4</a></i>;<br/>
<a NAME="E3:80"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="xcmplx_0.html#K6">-</a> 1</span>)</span> <a href="xcmplx_0.html#K2">+</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xcmplx_0.html#K2">+</a> 1
 
<b>by </b><i><a class="ref" href="xreal_1.html#T8">XREAL_1:8</a></i>;<br/>
<a NAME="E4:80"/><b>then </b>
0 <a href="real_1.html#K5">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span> <a href="xcmplx_0.html#K6">-</a> 1
 
<b>by </b><i><a class="txt" href="int_1.html#E1:80"><i><font color="Green">E38</font></i></a>, <a class="ref" href="xreal_1.html#T11">XREAL_1:11</a></i>;<br/>
<a NAME="E5:80"/><b>then </b><i><font color="Green">E39</font></i>: 
<span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 
<b>by </b><i><a class="ref" href="int_1.html#T21" target="_self">Th21</a></i>;<br/>
<a NAME="E6:80"/>
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1"><a href="int_1.html#K2" target="_self">[/</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K2" target="_self">\]</a></span>
 
<b>by </b><i><a class="ref" href="int_1.html#D5" target="_self">Def5</a></i>;<br/>
<b>hence </b><a NAME="E7:80"/>
( <span class="p1"><a href="int_1.html#K2" target="_self">[/</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K2" target="_self">\]</a></span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 &amp; <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 &amp; <span class="p1"><a href="int_1.html#K2" target="_self">[/</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K2" target="_self">\]</a></span> is   <a href="nat_1.html#NM1">Nat</a> &amp; <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="int_1.html#K1" target="_self">/]</a></span> is   <a href="nat_1.html#NM1">Nat</a> )
 <b>by </b><i><a class="txt" href="int_1.html#E1:80"><i><font color="Green">E38</font></i></a>, <a class="txt" href="int_1.html#E5:80"><i><font color="Green">E39</font></i></a>, <a class="ref" href="int_1.html#T16" target="_self">Th16</a></i>;<br/>


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