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<span class="kw">let </span><font color="Maroon" title="c3">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="arytm_3.html#K5" title="ARYTM_3:func.5">RAT+</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">x</font> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">*'</a> <a href="arytm_3.html#K12" title="ARYTM_3:func.12">one</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">x</font></span><br/>

<span class="kw">set </span><font color="Maroon" title="c4">y</font> =  <a href="arytm_3.html#K12" title="ARYTM_3:func.12">one</a> ;<br/>
<a NAME="E1:74"/><span class="lab"><font color="Green" title="E61">A1</font></span>: 
( <span class="p1">(<span class="default"><a href="arytm_3.html#K6" title="ARYTM_3:func.6">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="ordinal3.html#K9" title="ORDINAL3:func.9">*^</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="arytm_3.html#K6" title="ARYTM_3:func.6">numerator</a> <font color="Maroon" title="c3">x</font> &amp; <span class="p1">(<span class="default"><a href="arytm_3.html#K7" title="ARYTM_3:func.7">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="ordinal3.html#K9" title="ORDINAL3:func.9">*^</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="arytm_3.html#K7" title="ARYTM_3:func.7">denominator</a> <font color="Maroon" title="c3">x</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal2.html#T56" title="ORDINAL2:th.56">ORDINAL2:56</a></span>;<br/>
<a NAME="E2:74"/>
(  <a href="arytm_3.html#K6" title="ARYTM_3:func.6">numerator</a> <a href="arytm_3.html#K12" title="ARYTM_3:func.12">one</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  <a href="arytm_3.html#K7" title="ARYTM_3:func.7">denominator</a> <a href="arytm_3.html#K12" title="ARYTM_3:func.12">one</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="arytm_3.html#D8" target="_self" title="ARYTM_3:def.8">Def8</a>, <a class="ref" href="arytm_3.html#D9" target="_self" title="ARYTM_3:def.9">Def9</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:74"/>
<font color="Maroon" title="c3">x</font> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">*'</a> <a href="arytm_3.html#K12" title="ARYTM_3:func.12">one</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">x</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:74"><span class="lab"><font color="Green" title="E61">A1</font></span></a>, <a class="ref" href="arytm_3.html#T45" target="_self" title="ARYTM_3:th.45">Th45</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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