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<div><i><font color="Green">E21</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="56_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:56_1_1_1"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">r</font> is   <a href="int_1.html#NM1">Integer</a>
 ;<br/><a NAME="E2:56_1_1_1"/>
<font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> 0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <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/><b>hence </b><a NAME="E3:56_1_1_1"/>
( <font color="Maroon">r</font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> &amp; <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> 1 )
 <b>by </b><i>, </i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="56_1_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:56_1_1_2"/>
<font color="Maroon">r</font> is  not   <a href="int_1.html#NM1">Integer</a>
 ;<br/><a NAME="E2:56_1_1_2"/><b>then </b>
<span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:56_1_1_2"/>
( <font color="Maroon">r</font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xcmplx_0.html#K2">+</a> 1 &amp; <span class="p1"><a href="int_1.html#K1" target="_self">[\</a><span class="default"><font color="Maroon">r</font></span><a href="int_1.html#K1" target="_self">/]</a></span> <a href="xcmplx_0.html#K2">+</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <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/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:56_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="int_1.html#NM1">Integer</a> st <br/>( <font color="Maroon">r</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">b<sub>1</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> 1 )
 <b>by </b><i/>;<br/>


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