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<b>let </b><font color="Maroon">i</font> be   <a href="int_1.html#NM1">Integer</a>, <font color="Maroon">j</font> be   <a href="int_1.html#NM1">Integer</a>;<br/>

<b>assume </b><a NAME="E1:5"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">j</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <font color="Maroon">i</font> <a href="int_1.html#K5">div</a> <font color="Maroon">j</font> <a href="hidden.html#R1">=</a> 0 )
 ;<br/>

<a NAME="E2:5"/><b>then </b>
<span class="p1"><a href="int_1.html#K1">[\</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">i</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">j</font></span>)</span></span><a href="int_1.html#K1">/]</a></span> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="int_1.html#D7">INT_1:def 7</a></i>;<br/>
<a NAME="E3:5"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">i</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">j</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0
 
<b>by </b><i><a class="ref" href="int_1.html#D4">INT_1:def 4</a></i>;<br/>
<a NAME="E4:5"/><b>then </b>
<font color="Maroon">i</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">j</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 <a href="nat_1.html#K1">+</a> 1
 
<b>by </b><i><a class="ref" href="xreal_1.html#T21">XREAL_1:21</a></i>;<br/>
<a NAME="E5:5"/><b>then </b>
( <span class="p1">(<span class="default"><font color="Maroon">i</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">j</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">j</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 1 <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">j</font> &amp; <font color="Maroon">j</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T70">XREAL_1:70</a></i>;<br/>
<b>hence </b><a NAME="E6:5"/>
<font color="Maroon">i</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">j</font>
 <b>by </b><i><a class="ref" href="xcmplx_1.html#T88">XCMPLX_1:88</a></i>;<br/>


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