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<b>let </b><font color="Maroon">q1</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon">q2</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:30"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">q1</font> <a href="hidden.html#R2">in</a>  <a href="topreal1.html#K3">LSeg</a> <font color="Maroon">q2</font>,<font color="Maroon">p</font>
 <b>and </b><br/><a NAME="E2:30"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">q1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q2</font>
 ;<br/>

<a NAME="E3:30"/><i><font color="Green">E42</font></i>: 
<span class="p1">(<span class="default"><a href="topreal6.html#K1">dist</a> <font color="Maroon">q2</font>,<font color="Maroon">q1</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><a href="topreal6.html#K1">dist</a> <font color="Maroon">q1</font>,<font color="Maroon">p</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="topreal6.html#K1">dist</a> <font color="Maroon">q2</font>,<font color="Maroon">p</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:30"/>
 <a href="topreal6.html#K1">dist</a> <font color="Maroon">q2</font>,<font color="Maroon">q1</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E5:30"/>
 <a href="topreal6.html#K1">dist</a> <font color="Maroon">q1</font>,<font color="Maroon">p</font> <a href="xxreal_0.html#R1">&lt;</a>  <a href="topreal6.html#K1">dist</a> <font color="Maroon">q2</font>,<font color="Maroon">p</font>
 <b>by </b><i>, <a class="ref" href="xreal_1.html#T31">XREAL_1:31</a></i>;<br/>


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