<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">z</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_2.html#K2">REAL+</a> ;<br/><b>let </b><font color="Maroon">y</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_2.html#K2">REAL+</a> ;<br/><b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_2.html#K2">REAL+</a> ;<br/>





<b>assume </b><a NAME="E1:43"/>
( not <font color="Maroon">z</font> <a href="arytm_2.html#R1">&lt;='</a> <font color="Maroon">y</font> &amp; <font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="arytm_3.html#K13">{}</a>  )
 ;<br/>

<a NAME="E2:43"/><b>then </b><i><font color="Green">E15</font></i>: 
not <font color="Maroon">x</font> <a href="arytm_2.html#K8">*'</a> <font color="Maroon">z</font> <a href="arytm_2.html#R1">&lt;='</a> <font color="Maroon">x</font> <a href="arytm_2.html#K8">*'</a> <font color="Maroon">y</font>
 
<b>by </b><i/>;<br/>
<b>thus </b><span class="p1"><a href="tarski.html#K4">[</a><span class="default"><a href="arytm_3.html#K13">{}</a> ,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="arytm_2.html#K8">*'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="arytm_1.html#K1" target="_self">-'</a> <font color="Maroon">y</font></span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span> = 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><a href="arytm_3.html#K13">{}</a> ,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="arytm_2.html#K8">*'</a> <font color="Maroon">z</font></span>)</span> <a href="arytm_1.html#K1" target="_self">-'</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="arytm_2.html#K8">*'</a> <font color="Maroon">y</font></span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="arytm_2.html#K8">*'</a> <font color="Maroon">y</font></span>)</span> <a href="arytm_1.html#K2" target="_self">-</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="arytm_2.html#K8">*'</a> <font color="Maroon">z</font></span>)</span>
<b>by </b><i>, <a class="ref" href="arytm_1.html#T8" target="_self">Th8</a></i>
;<br/>


</div>
