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<b>let </b><font color="Maroon">p</font> be   <a href="rat_1.html#NM1">Rational</a>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="rat_1.html#NM1">Rational</a>;<br/>



<b>consider </b><font color="Maroon">m1</font> being   <a href="int_1.html#NM1">Integer</a>, <font color="Maroon">n1</font> being   <a href="int_1.html#NM1">Integer</a><b> such that </b><br/><a NAME="E2:23"/>
<font color="Maroon">n1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <b>and </b><br/><a NAME="E3:23"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m1</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">n1</font>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">m2</font> being   <a href="int_1.html#NM1">Integer</a>, <font color="Maroon">n2</font> being   <a href="int_1.html#NM1">Integer</a><b> such that </b><br/><a NAME="E5:23"/>
<font color="Maroon">n2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <b>and </b><br/><a NAME="E6:23"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">q</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m2</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">n2</font>
 <b>by </b><i/>;<br/>
<font color="Maroon">p</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">q</font> = 
<font color="Maroon">p</font> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K7">/</a> <span class="p2">(<span class="default"><font color="Maroon">m2</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">n2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">p</font> <a href="xcmplx_0.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">n2</font></span>)</span> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">m2</font></span>)</span>
<b>by </b><i><a class="ref" href="xcmplx_1.html#T78">XCMPLX_1:78</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">m1</font> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">n2</font></span>)</span> <a href="xcmplx_0.html#K7">/</a> <span class="p1">(<span class="default"><font color="Maroon">n1</font> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">m2</font></span>)</span>
<b>by </b><i>, <a class="ref" href="xcmplx_1.html#T77">XCMPLX_1:77</a></i>
;<br/>
<b>hence </b><a NAME="E8:23"/>
<font color="Maroon">p</font> <a href="xcmplx_0.html#K7">/</a> <font color="Maroon">q</font> is   <a href="rat_1.html#NM1">Rational</a>
 <b>by </b><i/>;<br/>


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