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<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> ;<br/>



<b>assume </b><a NAME="E1:81"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="arytm_3.html#K13" target="_self">{}</a> 
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>5</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> <b> such that </b><br/><a NAME="E3:81"/><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i><a class="ref" href="arytm_3.html#T60" target="_self">Th60</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>6</sub></font> =  <a href="arytm_3.html#K14" target="_self">one</a>  as    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a>  ;<br/>
<b>take </b>
<font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>4</sub></font>
;<br/>

<b>thus </b><font color="Maroon">c<sub>4</sub></font> = 
<font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="ref" href="arytm_3.html#T59" target="_self">Th59</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="arytm_3.html#E3:81"><i><font color="Green">E69</font></i></a>, <a class="ref" href="arytm_3.html#T58" target="_self">Th58</a></i>
;<br/>


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