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<div class="add">

<b>let </b><font color="Maroon">r</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">N1</font> be    <a href="rcomp_1.html#M1" target="_self">Neighbourhood</a> of <font color="Maroon">r</font>, <font color="Maroon">N2</font> be    <a href="rcomp_1.html#M1" target="_self">Neighbourhood</a> of <font color="Maroon">r</font>;<br/>



<b>consider </b><font color="Maroon">g1</font> being  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> <b> such that </b><br/><a NAME="E2:39"/><i><font color="Green">E41</font></i>: 
( 0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">g1</font> &amp; <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g1</font></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">N1</font> )
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">g2</font> being  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> <b> such that </b><br/><a NAME="E4:39"/><i><font color="Green">E42</font></i>: 
( 0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">g2</font> &amp; <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g2</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g2</font></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">N2</font> )
 <b>by </b><i/>;<br/>
<b>set </b><font color="Maroon">g</font> =  <a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font>;<br/>
<a NAME="E5:39"/><i><font color="Green">E44</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font>
 
<b>by </b><i>, , <a class="ref" href="xxreal_0.html#T15">XXREAL_0:15</a></i>;<br/>
<a NAME="E6:39"/><i><font color="Green">E46</font></i>: 
(  <a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">g2</font> &amp;  <a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">g1</font> )
 
<b>by </b><i><a class="ref" href="xxreal_0.html#T17">XXREAL_0:17</a></i>;<br/>
<a NAME="E7:39"/><b>then </b><i><font color="Green">E51</font></i>: 
<font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g2</font>
 
<b>by </b><i><a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<a NAME="E8:39"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g1</font>
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<a NAME="E9:39"/>
 <a href="xcmplx_0.html#K4">-</a> <font color="Maroon">g2</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="xcmplx_0.html#K4">-</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T26">XREAL_1:26</a></i>;<br/>
<a NAME="E10:39"/><b>then </b><i><font color="Green">E53</font></i>: 
<font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <font color="Maroon">g2</font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <span class="p2">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<a NAME="E11:39"/>
 <a href="xcmplx_0.html#K4">-</a> <font color="Maroon">g1</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="xcmplx_0.html#K4">-</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T26">XREAL_1:26</a></i>;<br/>
<a NAME="E12:39"/><b>then </b><i><font color="Green">E54</font></i>: 
<font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <font color="Maroon">g1</font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <span class="p2">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<div><i><font color="Green">E55</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="39_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:39_1_1"/>
( <font color="Maroon">g1</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">g2</font> or <font color="Maroon">g2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">g1</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="39_1_1_1"><b>suppose </b></a><a NAME="E1:39_1_1_1"/>
<font color="Maroon">g1</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">g2</font>
 ;<br/><div class="add"><a NAME="E2:39_1_1_1"/><b>then </b><i><font color="Green">E56</font></i>: 
<font color="Maroon">g1</font> <a href="hidden.html#R1">=</a>  <a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font>
 <b>by </b><i><a class="ref" href="xxreal_0.html#D8">XXREAL_0:def 8</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:39_1_1_1_1"/>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span>
 ;<br/><a NAME="E2:39_1_1_1_1"/><b>then </b>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">p2</font> where <font color="Olive">p2</font> is   <a href="real_1.html#NM1">Real</a> : ( <font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">p2</font> &amp; <font color="Olive">p2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> ) </span>}</span> 
 ;<br/><a NAME="E3:39_1_1_1_1"/><b>then </b><i><font color="Green">E66</font></i>: 
 ex <font color="Olive">p2</font> being  <a href="real_1.html#NM1">Real</a> st <br/>( <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Olive">p2</font> &amp; <font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">p2</font> &amp; <font color="Olive">p2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> )
 ;<br/><b>then reconsider </b><font color="Maroon">x1</font> = <font color="Maroon">y</font> as   <a href="real_1.html#NM1">Real</a> ;<br/><a NAME="E5:39_1_1_1_1"/><i><font color="Green">E68</font></i>: 
<font color="Maroon">x1</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g2</font>
 <b>by </b><i>, , <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/><a NAME="E6:39_1_1_1_1"/>
<font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">x1</font>
 <b>by </b><i>, , <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/><a NAME="E7:39_1_1_1_1"/><b>then </b>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">p2</font> where <font color="Olive">p2</font> is   <a href="real_1.html#NM1">Real</a> : ( <font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">p2</font> &amp; <font color="Olive">p2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g2</font> ) </span>}</span> 
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E8:39_1_1_1_1"/>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g2</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g2</font></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span>
 ;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:39_1_1_1"/>
( <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span> <a href="tarski.html#R1">c=</a> <font color="Maroon">N1</font> &amp; <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span> <a href="tarski.html#R1">c=</a> <font color="Maroon">N2</font> )
 <b>by </b><i>, , , <a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="39_1_1_2"><b>suppose </b></a><a NAME="E1:39_1_1_2"/>
<font color="Maroon">g2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">g1</font>
 ;<br/><div class="add"><a NAME="E2:39_1_1_2"/><b>then </b><i><font color="Green">E69</font></i>: 
<font color="Maroon">g2</font> <a href="hidden.html#R1">=</a>  <a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font>
 <b>by </b><i><a class="ref" href="xxreal_0.html#D8">XXREAL_0:def 8</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:39_1_1_2_1"/>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span>
 ;<br/><a NAME="E2:39_1_1_2_1"/><b>then </b>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">p2</font> where <font color="Olive">p2</font> is   <a href="real_1.html#NM1">Real</a> : ( <font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">p2</font> &amp; <font color="Olive">p2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> ) </span>}</span> 
 ;<br/><a NAME="E3:39_1_1_2_1"/><b>then </b><i><font color="Green">E70</font></i>: 
 ex <font color="Olive">p2</font> being  <a href="real_1.html#NM1">Real</a> st <br/>( <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Olive">p2</font> &amp; <font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">p2</font> &amp; <font color="Olive">p2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span> )
 ;<br/><b>then reconsider </b><font color="Maroon">x1</font> = <font color="Maroon">y</font> as   <a href="real_1.html#NM1">Real</a> ;<br/><a NAME="E5:39_1_1_2_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">x1</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g1</font>
 <b>by </b><i>, , <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/><a NAME="E6:39_1_1_2_1"/>
<font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g1</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">x1</font>
 <b>by </b><i>, , <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/><a NAME="E7:39_1_1_2_1"/><b>then </b>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">p2</font> where <font color="Olive">p2</font> is   <a href="real_1.html#NM1">Real</a> : ( <font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g1</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Olive">p2</font> &amp; <font color="Olive">p2</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g1</font> ) </span>}</span> 
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E8:39_1_1_2_1"/>
<font color="Maroon">y</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">g1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">g1</font></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span>
 ;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:39_1_1_2"/>
( <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span> <a href="tarski.html#R1">c=</a> <font color="Maroon">N1</font> &amp; <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span> <a href="tarski.html#R1">c=</a> <font color="Maroon">N2</font> )
 <b>by </b><i>, , , <a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>reconsider </b><font color="Maroon">N</font> = <span class="p1"><a href="rcomp_1.html#K2" target="_self">].</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="xxreal_0.html#K3">min</a> <font color="Maroon">g1</font>,<font color="Maroon">g2</font></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" target="_self">.[</a></span> as    <a href="rcomp_1.html#M1" target="_self">Neighbourhood</a> of <font color="Maroon">r</font> <b>by </b><i>, </i>;<br/>
<b>take </b>
<font color="Maroon">N</font>
;<br/>

<b>thus </b><a NAME="E15:39"/>
( <font color="Maroon">N</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">N1</font> &amp; <font color="Maroon">N</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">N2</font> )
 <b>by </b><i/>;<br/>


</div>
