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<b>let </b><font color="Maroon">s</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> ;<br/><b>let </b><font color="Maroon">r</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> ;<br/><b>let </b><font color="Maroon">t</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> ;<br/>





<b>given </b><font color="Maroon">x</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><a NAME="E1:107"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">r</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">x</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="arytm_3.html#D13" target="_self">ARYTM_3:def 13</a><br/>

<b>take </b><font color="Maroon">y</font> = <font color="Maroon">x</font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">t</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="arytm_3.html#D13" target="_self">ARYTM_3:def 13</a><br/>

<b>thus </b><a NAME="E2:107"/>
<font color="Maroon">r</font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">t</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="arytm_3.html#K12" target="_self">*'</a> <font color="Maroon">t</font></span>)</span> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">y</font>
 <b>by </b><i><a class="txt" href="arytm_3.html#E45"><i><font color="Green">Lemma86</font></i></a>, <a class="ref" href="arytm_3.html#T20" target="_self">Th20</a></i>;<br/>


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