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<b>let </b><font color="Maroon" title="c3">x</font>, <font color="Maroon" title="c4">y</font>, <font color="Maroon" title="c5">z</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="arytm_3.html#K7" title="ARYTM_3:func.7">RAT+</a> ;<br/>





<b>set </b><font color="Maroon" title="c6">nx</font> =  <a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font>;<br/>
<b>set </b><font color="Maroon" title="c7">ny</font> =  <a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font>;<br/>
<b>set </b><font color="Maroon" title="c8">nz</font> =  <a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font>;<br/>
<b>set </b><font color="Maroon" title="c9">dx</font> =  <a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font>;<br/>
<b>set </b><font color="Maroon" title="c10">dy</font> =  <a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font>;<br/>
<b>set </b><font color="Maroon" title="c11">dz</font> =  <a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font>;<br/>
<a NAME="E1:77"/><i><font color="Green" title="E66">A1</font></i>: 
(  <a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="arytm_3.html#K13" title="ARYTM_3:func.13">{}</a>  &amp;  <a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="arytm_3.html#K13" title="ARYTM_3:func.13">{}</a>  &amp;  <a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="arytm_3.html#K13" title="ARYTM_3:func.13">{}</a>  )
 
<b>by </b><i><a class="ref" href="arytm_3.html#T41" target="_self" title="ARYTM_3:th.41">Th41</a></i>;<br/>
<a NAME="E2:77"/><b>then </b><i><font color="Green" title="E67">A2</font></i>: 
( <span class="p1">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p1">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="arytm_3.html#K13" title="ARYTM_3:func.13">{}</a>  &amp; <span class="p1">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p1">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="arytm_3.html#K13" title="ARYTM_3:func.13">{}</a>  )
 
<b>by </b><i><a class="ref" href="ordinal3.html#T34" title="ORDINAL3:th.34">ORDINAL3:34</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c3">x</font> <a href="arytm_3.html#K11" title="ARYTM_3:func.11">+</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K11" title="ARYTM_3:func.11">+</a> <font color="Maroon" title="c5">z</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K11" title="ARYTM_3:func.11">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="arytm_3.html#T45" target="_self" title="ARYTM_3:th.45">Th45</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="arytm_3.html#E1:77"><i><font color="Green" title="E66">A1</font></i></a>, <a class="txt" href="arytm_3.html#E2:77"><i><font color="Green" title="E67">A2</font></i></a>, <a class="ref" href="arytm_3.html#T52" target="_self" title="ARYTM_3:th.52">Th52</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ordinal3.html#T54" title="ORDINAL3:th.54">ORDINAL3:54</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ordinal3.html#T58" title="ORDINAL3:th.58">ORDINAL3:58</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ordinal3.html#T58" title="ORDINAL3:th.58">ORDINAL3:58</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ordinal3.html#T58" title="ORDINAL3:th.58">ORDINAL3:58</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ordinal3.html#T33" title="ORDINAL3:th.33">ORDINAL3:33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ordinal3.html#T54" title="ORDINAL3:th.54">ORDINAL3:54</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p5">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ordinal3.html#T58" title="ORDINAL3:th.58">ORDINAL3:58</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span> <a href="arytm_3.html#K2" title="ARYTM_3:func.2">+^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p4">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c4">y</font></span>)</span> <a href="arytm_3.html#K3" title="ARYTM_3:func.3">*^</a> <span class="p3">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c5">z</font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K11" title="ARYTM_3:func.11">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="arytm_3.html#K8" title="ARYTM_3:func.8">numerator</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="arytm_3.html#K10" title="ARYTM_3:func.10">/</a> <span class="p2">(<span class="default"><a href="arytm_3.html#K9" title="ARYTM_3:func.9">denominator</a> <font color="Maroon" title="c3">x</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="arytm_3.html#E1:77"><i><font color="Green" title="E66">A1</font></i></a>, <a class="txt" href="arytm_3.html#E2:77"><i><font color="Green" title="E67">A2</font></i></a>, <a class="ref" href="arytm_3.html#T52" target="_self" title="ARYTM_3:th.52">Th52</a></i>
<br/>.= 
<font color="Maroon" title="c3">x</font> <a href="arytm_3.html#K11" title="ARYTM_3:func.11">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">y</font> <a href="arytm_3.html#K11" title="ARYTM_3:func.11">+</a> <font color="Maroon" title="c5">z</font></span>)</span>
<b>by </b><i><a class="ref" href="arytm_3.html#T45" target="_self" title="ARYTM_3:th.45">Th45</a></i>
;<br/>


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