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<b>let </b><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">y</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="arytm_2.html#K2" title="ARYTM_2:func.2">REAL+</a> ;<br/>

<a NAME="E1:6"/><i><font color="Green" title="E8">A1</font></i>: 
 <a href="arytm_3.html#K11" title="ARYTM_3:func.11">{}</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><a href="arytm_3.html#K11" title="ARYTM_3:func.11">{}</a> ,<span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="arytm_1.html#K1" title="ARYTM_1:func.1">-'</a> <font color="Maroon" title="c1">x</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 
;<br/>
<b>assume </b><a NAME="E2:6"/><i><font color="Green" title="E9">A2</font></i>: 
<font color="Maroon" title="c1">x</font> <a href="arytm_1.html#K2" title="ARYTM_1:func.2">-</a> <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="arytm_3.html#K11" title="ARYTM_3:func.11">{}</a> 
 ;<br/>

<a NAME="E3:6"/><b>then </b><i><font color="Green" title="E10">A3</font></i>: 
<font color="Maroon" title="c2">y</font> <a href="arytm_2.html#R1" title="ARYTM_2:pred.1">&lt;='</a> <font color="Maroon" title="c1">x</font>
 
<b>by </b><i><a class="txt" href="arytm_0.html#E1:6"><i><font color="Green" title="E8">A1</font></i></a>, <a class="ref" href="arytm_1.html#D2" title="ARYTM_1:def.2">ARYTM_1:def 2</a></i>;<br/>
<a NAME="E4:6"/><b>then </b>
<font color="Maroon" title="c1">x</font> <a href="arytm_1.html#K1" title="ARYTM_1:func.1">-'</a> <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="arytm_3.html#K11" title="ARYTM_3:func.11">{}</a> 
 
<b>by </b><i><a class="txt" href="arytm_0.html#E2:6"><i><font color="Green" title="E9">A2</font></i></a>, <a class="ref" href="arytm_1.html#D2" title="ARYTM_1:def.2">ARYTM_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:6"/>
<font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">y</font>
 <b>by </b><i><a class="txt" href="arytm_0.html#E3:6"><i><font color="Green" title="E10">A3</font></i></a>, <a class="ref" href="arytm_1.html#T10" title="ARYTM_1:th.10">ARYTM_1:10</a></i>;<br/>


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